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|$L+|$Lt5H$kHİ!Hu/6Hx1=t$xf*l$D$C u$D$PfY\f.QX\$Dl$DE$0|$Dd$HffW=CRC$$6fDH$H$$$$Et1B$$$$|$f$f(Y$xYf($E$f(Y$xYt1mB$$$$t$YYY$0f($f($f(E$$t1A$$$$$f(f(̃Y$0.A9^$X$$<\$Lf _Af**D$D^}X.ۍSD,t2HcʉHHH H H)HHH9uD\$DD$EA]$L$$$DfW=AMDd$L$8E~E$$1HfA*Y0HA9L$0|$HD$LVS9T$`$eE~@$P9Չ$+AAH9|A9ADD9T$D+$t$H|$lD$L$*$hf$8*Yf*Y$X0D$LpƉ$HcHHH$I3$Dt$LMEEA~=ffAIE9*X^>\>AG̃A9}$ML$HDt$LAl$Ht >KEE~!D$IAAYG'E9H !Hc$H81A9}DL$HDŽ$D$DrL$01$l$LDpL$MD|$hE 1fIDH9D$fT$fD9T$*^ = X~-AHI1YAXDADH9AD9}~.L$1^ADYADH9H$|$HAF9D$`GDEv+$9T$D$$$l$Df$*Yf*Y$X0H$HEH$D$pD$xD#vL$LL$p H(Aپ$1t]H$HH$D$PD$|D# $t$DD$E|$L |$L\$| D$D@fHY!DD$DH%L$`~Hx1 oat$LL= fɉ9" f(HB99@m1H9D$L^H,ffUH*fVf$^DL$HEt :T$ffW;fDD$xEV|$Ht :`ffT$})H$H$!H%5Hx1 CH!HE&0Hx1p %:d$P$T$HD$LDp E~fA9uD$fW:Hi!H$H81 $$LD$DH$0A쉬$DD$l$LHH$AFH\EL$ff~YD$II fD$*X^ 9\ 8AMYL9XufQf.EPD$dy$kD$xu-8D$xl$p$ fL$d |8$*EYD$p^p8\^~%H$fDH@Y@H9uDtlth> fUHc*X^8\701fH$0D$YH9kD\$|EDL$hEtt fA$Hc0f.Y_7\0bL$dD$A /D$xu5!7D$xt$p6 fAL$pHc0f.Y6D\0 $H$t$H|$l$D$xu=q6D$x|$p$} fE F6$*YD$p^C6\YL$P^H$H@Y@H9uDD$dM5Hc0H$ HH9YXufQf.+1H$0^H9T$hs$r fHc$ 65*Y$^95\0Y0$9tDH$$2 H!H| 7Hx1$fɋD$DH$fH$$A*̃*f($$Y!^p$$$X$$0$$8f(^\4$@Y$hE$퉄$$H0~Wf10H9YXfQf.H$01D$PY^H9Lc$$DT$hEB0\$B0tBaf -3*Y$^03\B0YB0f*f.3Hc$$0fW 30D$dDl$h 2^EtO$$$fo2$*Y$^i2\Y˅1H$0YH9$dD\0DD$dMH51 1HcH03Hu!H.Hx1c\0DjD|$|Dt$LA$n$dDd$|EFD6=1\D$pf($YI\$Df$@Dcf($A*X^f($(3m$0Dl$HL$$H$Ll$E|$P\$0$YY$tC0$$l$YY$f($f(kA9$tHtDEt/$$$f(fW 0YL$$9\$D\$($$`$P$Xl$`$X$PL$d)/$DŽ$D$LQH!H*4Hx1"$$.l$$1$l$D$$x$p$hk$x$p$hf(Y$k$kj.|$xL$DAD $Mk$4f.DATUISHHHL$8LD$@LL$Ht7)D$P)L$`)T$p)$)$)$)$)$dH%(HD$1Ht~=wHfH1yjH$HLH$HD$HD$ D$0HD$phHD$dH3%(u0H[]A\@H5)WWbhHHqhull error (qh_checkflags): hiddenflags must start and end with a space: "%s"qhull error (qh_checkflags): hiddenflags contains commas, newlines, or tabs: "%s"qhull error: option %s is not used with this program. It may be used with qhull. qhull internal error (qh_clock): use qh_CLOCKtype 2 in user.h qh_freebuffers: freeing up global memory buffers qh_freebuild: free memory from qh_inithull and qh_buildhull qh_freeqhull: free global memory qhull input error: more than %d characters in command line qhull warning: no dimension given for Print option '%c' at: %s. Ignored qhull warning: dimension %d for Print option '%c' is >= %d. Ignored qhull warning: value %2.4g for Print option %c is > +1 or < -1. Ignored qhull warning: no dimension given for Qhull option %c. Ignored qhull warning: dimension %d for Qhull option %c is >= %d. Ignored qh_lib_check: Incorrect qhull library called. Caller uses a static qhT while library uses a dynamic qhT via qh_QHpointer. Both caller and library are non-reentrant. qh_lib_check: Incorrect qhull library called. Caller uses reentrant Qhull while library is non-reentrant qh_lib_check: Expecting qhullLibraryType QHULL_NON_REENTRANT(0), QHULL_QH_POINTER(1), or QHULL_REENTRANT(2). Got %d qh_lib_check: Incorrect qhull library called. Size of qhT for caller is %d, but for library is %d. qh_lib_check: Incorrect qhull library called. Size of vertexT for caller is %d, but for library is %d. qh_lib_check: Incorrect qhull library called. Size of ridgeT for caller is %d, but for library is %d. qh_lib_check: Incorrect qhull library called. Size of facetT for caller is %d, but for library is %d. qh_lib_check: Incorrect qhull library called. Size of setT for caller is %d, but for library is %d. qh_lib_check: Incorrect qhull library called. Size of qhmemT for caller is %d, but for library is %d. qh_lib_check: Cannot continue. Library '%s' uses a dynamic qhT via qh_QHpointer (e.g., qhull_p.so) qhull initflags error: qh.NOerrexit was not cleared before calling qh_initflags(). It should be cleared after setjmp(). Exit qhull.qhull warning: no maximum cosine angle given for option 'An'. Ignored. qhull warning: no centrum radius given for option 'Cn'. Ignored. qhull warning: negative maximum roundoff given for option 'An'. Ignored. qhull warning: no maximum roundoff given for option 'En'. Ignored. qhull warning: origin for Halfspace intersection should be 'Hn,n,n,...' qhull error: insufficient memory for 'Hn,n,n' qhull warning: missing random perturbation for option 'Rn'. Ignored qhull warning: missing visible distance for option 'Vn'. Ignored qhull warning: missing coplanar distance for option 'Un'. Ignored qhull warning: negative outside width for option 'Wn'. Ignored. qhull warning: missing outside width for option 'Wn'. Ignored qhull warning: unknown 'F' output option %c, rest ignored qhull input error: missing dimension for option 'GDn' qhull warning: can only drop one dimension. Previous 'GD%d' ignored qhull warning: unknown 'G' print option %c, rest ignored qhull input error: missing facet count for keep area option 'PAn' qhull input error: missing facet area for option 'PFn' qhull input error: missing merge count for option 'PMn' qhull warning: unknown 'P' print option %c, rest ignored qh_initflags: project dimension %d qhull input error: missing number of test points for option 'QTn' qhull warning: unknown 'Q' qhull option 1%c, rest ignored qhull warning: can not follow '1', '2', or '3' with a digit. '%c' skipped. qhull warning: good point already defined for option 'QGn'. Ignored qhull warning: missing good point id for option 'QGn'. Ignored qhull warning: missing random seed for option 'QRn'. Ignored qhull warning: good vertex already defined for option 'QVn'. Ignored qhull warning: no good point id given for option 'QVn'. Ignored qhull warning: unknown 'Q' qhull option %c, rest ignored qhull warning: output file undefined(stdout). Option 'Tz' ignored. qhull warning: missing point id for cone for trace option 'TCn'. Ignored qhull warning: missing frequency count for trace option 'TFn'. Ignored qhull warning: missing space between 'TI' and filename, %s qhull error: could not open file "%s".qhull warning: missing space between 'TO' and filename, %s qhull input warning: qh.fout was not set by caller. Cannot use option 'TO' to redirect output. Ignoring option 'TO' qhull warning: missing point id for trace option 'TPn'. Ignored qhull warning: missing merge id for trace option 'TMn'. Ignored qhull warning: missing rerun count for trace option 'TRn'. Ignored qhull warning: missing furthest point id for trace option 'TVn'. Ignored qhull warning: missing max width for trace option 'TWn'. Ignored qhull warning: unknown 'T' trace option %c, rest ignored qhull warning: unknown flag %c(%x) qhull warning: missing space after flag %c(%x); reserved for menu. Skipped. qhull warning: 'TCn' (stopCone) ignored when used with 'QJn' (joggle) qhull warning: additional output formats are not compatible with Geomview qhull input error: transparent Delaunay('Gt') needs 3-d Delaunay('d') w/o 'GDn' qhull input error: option 'Fp' is only used for halfspace intersection('Hn,n,n'). qhull input error: option 'Ft' is not available for Voronoi vertices or halfspace intersection qhull input error: option 'FC' is not available for Voronoi vertices('v') qhull input warning: 'QJ' (joggle) will usually prevent coincident input sites for options 'Fc' and 'FP' qhull input error: Mathematica and Maple output is only available for 2-d and 3-d convex hulls and 2-d Delaunay triangulations qhull input error: Geomview output is only available for 2-d, 3-d and 4-d qhull input error: no output specified for Geomview qhull input error: Geomview output for Voronoi diagrams only for 2-d qhull input warning: coplanars, vertices, and centrums output not available for 4-d output(ignored). Could use 'GDn' instead. qhull output warning: ignoring coplanar points, option 'Qc' was not set for the first run of qhull. qhull input warning: drop dimension 'GD%d' is only available for 3-d/4-d Geomview qh_initqhull_globals: for %s | %s qhull warning: joggle('QJ') always produces simplicial output. Triangulated output('Qt') does nothing. qhull input error: can not use Delaunay('d') or Voronoi('v') with halfspace intersection('H') qhull input error: use upper-Delaunay('Qu') or infinity-point('Qz') with Delaunay('d') or Voronoi('v') qhull input error: can not use infinity-point('Qz') with upper-Delaunay('Qu') qhull input warning: option 'Qbb' (scale-last-coordinate) is normally used with 'd' or 'v' qhull input error: test vertex neighbors('Qv') needs a merge option qhull error: dimension %d must be > 1 qh_initqhull_globals: initialize globals. dim %d numpoints %d malloc? %d projected %d to hull_dim %d qhull configuration error (qh_RANDOMmax in user.h): random integer %d > qh_RANDOMmax(%.8g) qhull configuration warning (qh_RANDOMmax in user.h): average of 1000 random integers (%.2g) is much different than expected (%.2g). Is qh_RANDOMmax (%.2g) wrong? qhull input error: not enough points(%d) to construct initial simplex (need %d) qhull error (qh_initqhull_start): qh_qh already defined. Call qh_save_qhull() first qhull error (qh_initqhull_start): insufficient memory qhull internal error (qh_restore_qhull): %p is not a qhull data structure qhull internal error (qh_restore_qhull): did not save or free existing qhull qhull internal error (qh_restore_qhull): did not previously save qhull %p qh_restore_qhull: restored qhull from %p qhull internal error (qh_save_qhull): qhull not initialized , qh_freebuffers: finished %s %2.2gdelaunayincidencemathematicanormalsoffFileAngle-premerge-Angle-postmergeCentrum-premerge-Centrum-postmergeDistance-roundoffHalfspace-aboutHalfspaceRandom_perturbVisibleU-coplanarW-outsideFareaFArea-totalFcoplanarsFCentrumsFd-cdd-inFD-cdd-outFFacets-xridgeFinnerFIDsFmergesFMapleFneighborsFNeighbors-vertexFouterFOptionsFpoint-intersectFPoint-nearestFQhullFsummaryFSizeFtrianglesFVertex-averageFxtremesGall-pointsGcentrumsGintersectionsGinnerGno-planesGouterGpointsGridgesGtransparentGverticesGDrop-dimPdrop-facets-dim-lessPDrop-facets-dim-morePgood-facetsPGood-facet-neighborsPoutput-forcedPprecision-ignorePArea-keepPFacet-area-keepPMerge-keepQbBound-unit-boxQbbound-lastQb-project-dimQbound-dim-lowQBound-dim-highQcoplanar-keepQfurthest-outsideQgood-facets-onlyQinterior-keepQmax-outside-onlyQrandom-outsideQsearch-initial-simplexQTestPointsQupperDelaunayQvertex-neighbors-convexQxact-mergeQz-infinity-pointQ0-no-premergeQ1-no-angle-sortQ10-no-narrowQ11-trinormals QtriangulateQ12-no-wide-dupQ2-no-merge-independentQ3-no-merge-verticesQ4-avoid-old-into-newQ5-no-check-outerQ6-no-concave-mergeQ7-no-breadth-firstQ8-no-near-insideQ9-pick-furthestQGood-if-dont-see-pointQGood-if-see-pointQJoggleQRotate-idQRandom-seedQV-good-facets-not-pointQV-good-facets-pointTannotate-outputTcheck-frequentlyTstatisticsTverifyTz-stdoutTCone-stopTFacet-logTInput-fileTOutput-fileTrace-pointTrace-mergeTRerunTV-stop-before-pointTV-stop-after-pointTWide-traceqh_initqhull_outputflags: %s PgoodFvoronoiFverticesQcoplanar_pre-mergeQxact_mergeQbbound-last-qj_zero-centrumQ3-no-merge-vertices-dim-highQRotate-randomrun-idqhullqh_save_qhull: save qhull %p egxfg=fee)dgggggggc`c-cgbob3baggggggggggggagaggaggg{a\a=a!aggagg`{~~}~~R{~~~|~|Xz~z~~~z|~~~~~~~~~|~z~~~~~~~~~~~~~~~}~~W|~~~ypqppCpvvWv+vuu7w7w7w7w7w7w7w7w9u7w7w7w7wt7w7wt7w7w7w7w7w7w7wSt7ws7ws7w7w7w7w7w7w7w7w7w7w7w9uvs7w7wMs!s7wr7w7w7wr7w7w7w7wrurIrrq7wq7wqfjjifj-ffjjjjjejjjjjjjjjjjjjjjjjjjjjjifjjejjjjjjjpeDeh[[[[[[[[[[[[[[[[[[[[[[[[[[[[g[g[[[[gUg[[[[)gff[f[yf[Mfi tij tyj t tQj t t t)jkkkgk tPk t t(k t t t t t t t t t tj tjbm t t t t:m t t tmlll t trlJl t2l t lqhull 7.2.0 (2015.2 2016/01/18)2015.2 2016/01/18??A@@433AYAAprecision statisticsconcave half ridges in outputflipped facetssummary informationnumber of vertices in outputnumber of facets in outputmaximum number of ridgesmaximum number of neighborsmaximum number of verticesvertices created altogetherfacets created altogetherridges created altogetherfacets before post mergetotal area of facets maximum facet area minimum facet areabuild hull statisticspoints processed max. random jogglemax. vertices at any one time maximumaverage new facet balance standard deviationaverage partition balance number of trialsgood facets foundresets of visit_id resets of vertex_visit max visit_id/2 max vertex_visit/2total vertices deletedcalls to findbest ave. facets tested max. facets tested ave. coplanar searchcalls to findbestnew ave. clearly bettercalls to findhorizoninside pointscalls to findbestlowerpartitions of a pointdistance tests for outputdistance tests for statisticsdistance tests for best mergeconcave ridges in getmergesetstatistics for mergingmerge iterationsmerged a simplex ave. facets per cycle max. facetsnew facets mergedvertices deleted by mergingnon-convex vertex neighbors average merge distance maximum merge distancemerges due to coplanar facetsmerges due to concave facetsrenamed vertex statistics duplicate ridges detected deleted max. found for a vertexVoronoi ridge statistics ave. distance to ridge max. distance to ridgebounded ridgesbounded ridges with ok normal ave. angle to ridge max. angle to ridgeTriangulation statistics(Qt) max. new facets created *0 cnt*%7.2g%7d%7.3g%6.2e ave. distance of a new vertex to a facet(!0s)max. distance of a new vertex to a facetmax. distance of an output vertex to a facetmin. distance of an output vertex to a facetmin. denominator in hyperplane computationprecision problems (corrected unless 'Q0' or an error)coplanar half ridges in outputcoplanar horizon facets for new verticescoplanar points during partitioningdegenerate hyperplanes recomputed with gaussian eliminationnearly singular or axis-parallel hyperplaneszero divisors during back substitutezero divisors during gaussian eliminationridges with multiple neighborsnumber of non-simplicial facets in outputnumber of simplicial facets that were mergedaverage number of ridges per facetaverage number of neighbors per facetaverage number of vertices per facetaverage number of neighbors per vertexcpu seconds for qhull after inputaverage merges per facet(at most 511) maximum merges for a facet(at most 511)average angle(cosine) of facet normals for all ridges maximum angle(cosine) of facet normals across a ridge minimum angle(cosine) of facet normals across a ridgeretries due to precision problemsave. visible facets per iteration ave. visible facets without an horizon neighbor ave. facets deleted per iterationave. visible vertices per iterationave. horizon facets per iterationave. new or merged facets per iteration maximum(includes initial simplex)searches of all points for initial simplexdeterminants computed(area & initial hull)determinants not computed because vertex too lowpoints ignored(!above max_outside)points ignored(!above a good facet)points ignored(didn't create a good new facet)distance tests for facet visibilitydistance tests to report minimum vertexpoints checked for facets' outer planes ave. distance tests per checkpartitioning statistics(see previous for outer planes) maximum vertices deleted per iteration calls due to qh_sharpnewfacets horizon facets better than bestfacetangle tests for repartitioned coplanar points repartitioned coplanar points for flipped orientation inside points kept with a facet inside points that were coplanar with a facet with search of vertex neighbors with rare search of all facets facets per search of all facetsdifference in max_outside at final checkdistance tests for initial partitiondistance tests for partitioningdistance tests for checking flipped facetsdistance tests for checking convexitydistance tests for checking good pointtotal number of distance testspartitions of coplanar points or deleted vertices distance tests for these partitionsdistance tests for computing furtheststatistics for matching ridgestotal lookups for matching ridges of new facetsaverage number of tests to match a ridgetotal lookups of subridges(duplicates and boundary)average number of tests per subridgeduplicated ridges in same merge cycleduplicated ridges with flipped facetsstatistics for determining mergesangles computed for ridge convexitybest merges used centrum instead of verticesdistance tests for centrum convexitydistance tests for checking simplicial convexitycoplanar angles in getmergesetcoplanar centrums in getmergesetave. initial non-convex ridges per iteration ave. additional non-convex ridges per iteration maximum additional in one passinitial non-convex ridges for post merging additional non-convex ridgesmax distance of vertex or coplanar point above facet(w/roundoff)max distance of merged vertex below facet(or roundoff)centrums frozen due to a wide mergecentrums frozen due to extra verticestotal number of facets or cycles of facets mergedsimplices merged into coplanar horizoncycles of facets merged into coplanar horizonnew facets merged into horizonhorizon facets merged into new facetsvertices deleted by merging into coplanar horizonvertices deleted by degenerate facetmerges due to flipped facets in duplicated ridgemerges due to redundant neighborsmerges due to angle coplanar facetscoplanar/concave merges due to avoiding old mergemerges due to degenerate facetsmerges due to removing flipped facetsmerges due to duplicated ridgesrenamed vertices shared by two facetsrenamed vertices in a pinched facetrenamed vertices shared by multiple facetsrename failures due to duplicated ridgesdeleted ridges due to renamed verticesdropped neighbors due to renamed verticesdegenerate facets due to dropped neighbors facets deleted because of no neighborsvertices removed from facets due to no ridgesvertex intersections for locating redundant verticesintersections failed to find a redundant vertexintersections found redundant vertices ave. number found per vertex ave. number of ridges per tested vertex max. number of ridges per tested vertexmemory usage statistics(in bytes)for facets and their normals, neighbor and vertex setsfor vertices and their neighbor setsfor input points and outside and coplanar setsfor ridges and their vertex setsnon-simplicial Voronoi vertices for all ridges ave. distance of midpoint to ridge max. distance of midpoint to ridgebounded ridges with near-zero normalnon-simplicial facets triangulated ave. new facets created(may be deleted)null new facets deleted(duplicated vertex)mirrored pairs of new facets deleted(same vertices)degenerate new facets in output(same ridge)qhull error (qh_initstatistics): insufficient memory qhull error (qh_initstatistics): increase size of qhstat.id[]. qhstat.next %d should be <= sizeof(qhstat id) %d %s qhull invoked by: %s | %s %s with options: %s precision constants: %6.2g max. abs. coordinate in the (transformed) input('Qbd:n') %6.2g max. roundoff error for distance computation('En') %6.2g max. roundoff error for angle computations %6.2g min. distance for outside points ('Wn') %6.2g min. distance for visible facets ('Vn') %6.2g max. distance for coplanar facets ('Un') %6.2g max. facet width for recomputing centrum and area %6.2g max. distance for near-inside points %6.2g max. cosine for pre-merge angle %6.2g radius of pre-merge centrum %6.2g max. cosine for post-merge angle %6.2g radius of post-merge centrum %6.2g max. distance for merging two simplicial facets %6.2g max. roundoff error for arithmetic operations %6.2g min. denominator for divisions zero diagonal for Gauss: = 2 qhull internal error (qh_detsimplex): #points %d < dimension %d qh_detsimplex: det=%2.2g for point p%d, dim %d, nearzero? %d qh_distround: %2.2g maxabs %2.2g maxsumabs %2.2g maxdistsum %2.2g qh_detjoggle: joggle=%2.2g maxwidth=%2.2g qhull error: the joggle for 'QJn', %.2g, is below roundoff for distance computations, %.2g qhull input warning: minimum visibility V%.2g is greater than minimum outside W%.2g. Flipped facets are likely. qhull internal error (qh_facetarea_simplex): #points %d != dim %d -1 qh_facetarea_simplex: area=%2.2g for point p%d, toporient %d, nearzero? %d qh_findgooddist: p%d is %2.2g above good facet f%d qh_findgooddist: no good facet for p%d above f%d computing area of each facet and volume of the convex hull qh_getarea: computing volume and area for each facet qh_maxouter: max distance from facet to outer plane is %2.2g max_outside is %2.2g qhull precision error (qh_maxsimplex for voronoi_center): %d points with the same x coordinate. qhull input error: input is less than %d-dimensional since it has the same x coordinate qh_maxsimplex: searching all points for %d-th initial vertex. qh_maxsimplex: searching all points for %d-th initial vertex, better than p%d det %2.2g qhull internal error (qh_maxsimplex): not enough points available qh_maxsimplex: selected point p%d for %d`th initial vertex, det=%2.2g qh_maxmin: found the max and min points(by dim):qh_projectpoints: projected %d points from dim %d to dim %d qhull internal error (qh_projectpoints): newdim %d should be %d after projection qh_rotatepoints: rotate points byqh_scalelast: scale last coordinate from [%2.2g, %2.2g] to [0,%2.2g] qhull input error: can not scale last coordinate. Input is cocircular or cospherical. Use option 'Qz' to add a point at infinity. qhull input error: can not scale last coordinate. New bounds [0, %2.2g] are too wide for existing bounds [%2.2g, %2.2g] (width %2.2g) qhull input error: 'Qb%d' or 'QB%d' inverts paraboloid since high bound %.2g < low bound %.2g qhull input error: %d'th dimension's new bounds [%2.2g, %2.2g] too wide for existing bounds [%2.2g, %2.2g] qh_scalepoints: scaled %d'th coordinate [%2.2g, %2.2g] to [%.2g, %.2g] for %d points by %2.2g and shifted %2.2g qh_setdelaunay: project %d points to paraboloid for Delaunay triangulation qhull error: insufficient memory to joggle %d points qhull error: the current joggle for 'QJn', %.2g, is too large for the width of the input. If possible, recompile Qhull with higher-precision reals. qh_joggleinput: joggle input by %2.2g with seed %d qhull internal error (qh_projectinput): dimension after projection %d != hull_dim %d qhull error: insufficient memory to project %d points qh_projectinput: updating lower and upper_bound qhull internal error (qh_projectinput): HALFspace defined without qh.feasible_point qh_projectinput: projected points to paraboloid for Delaunay qhull input error: feasible point is not clearly inside halfspace feasible point: qh_sethalfspace: halfspace at offset %6.2g to point: qh_sethalfspace_all: compute dual for halfspace intersection qhull error: insufficient memory to compute dual of %d halfspaces The halfspace was at index %d qhull internal error (qh_voronoi_center): need at least %d points to construct a Voronoi center qh_voronoi_center: at infinity for qh_voronoi_center: det %2.2g factor %2.2g _max-widthError-roundoffAngle-postmerge-with-randomCentrum-premerge-with-randomCentrum-postmerge-with-random_one-merge_near-insideVisible-distanceU-coplanar-distanceWidth-outside_wide-facetAngle-premerge-with-randomqh_facetarea: f%d area %2.2g input has same x coordinate%6.3g p%d_joggle-seed %6.2g%6.16g at offset: and distance: halfspace: qh_sharpnewfacets: %d center:p%d dist %.2g, $@)\(?L=L@@@@<T@?{Gz???ʡE3$qh_check_dupridge: duplicate ridge between f%d and f%d due to nearly-coincident vertices (%2.2g), dist %2.2g, reverse dist %2.2g, ratio %2.2g while processing p%d qhull precision error (qh_check_dupridge): wide merge (%.0f times wider) due to duplicate ridge with nearly coincident points (%2.2g) between f%d and f%d, merge dist %2.2g, while processing p%d - Ignore error with option 'Q12' - To be fixed in a later version of Qhull - A bounding box for the input sites may alleviate this error. - Vertex distance %2.2g is greater than %d times maximum distance %2.2g Please report to bradb@shore.net with steps to reproduce and all output qhull precision error: point p%d is outside facet f%d, distance= %6.8g maxoutside= %6.8g qh_checkconvex: check all ridges are convex qhull precision error: f%d is flipped(interior point is outside) qhull precision error: initial simplex is not convex. Distance=%.2g qhull precision error: f%d is concave to f%d, since p%d(v%d) is %6.4g above qhull precision error: f%d is clearly not convex to f%d, since p%d(v%d) is %6.4g above qhull precision error: f%d may be coplanar to f%d, since p%d(v%d) is within %6.4g during p%d qhull warning: recomputing centrums for convexity test. This may lead to false, precision errors. qhull precision error: f%d is concave to f%d. Centrum of f%d is %6.4g above f%d qhull precision error: f%d is coplanar or concave to f%d. Centrum of f%d is %6.4g above f%d qhull precision error: facet f%d is flipped, distance= %6.12g A flipped facet occurs when its distance to the interior point is greater than %2.2g, the maximum roundoff error. qhull internal error (qh_checkvertex): unknown point id %p qhull internal error (qh_checkvertex): unknown vertex id %d qhull internal error (qh_checkvertex): neighbor f%d does not contain v%d qh_clearcenters: switched to center type %d qh_findfacet_all: f%d dist %2.2g isoutside %d totpart %d qh_findbestfacet: f%d dist %2.2g isoutside %d totpart %d qh_furthestout: p%d is furthest outside point of f%d qhull internal error (qh_infiniteloop): potential infinite loop detected qh_findgood: f%d is closest(%2.2g) to thresholds qh_findgood: found %d good facets with %d good horizon qhull warning: good vertex p%d does not match last good facet f%d. Ignored. qhull warning: point p%d is not a vertex('QV%d'). qhull warning: point p%d is a vertex for every facet('QV-%d'). qh_findgood_all: f%d is closest(%2.2g) to thresholds qh_findgood_all: %d good facets remain out of %d facets qh_matchduplicates: find duplicate matches for f%d skip %d hash %d hashcount %d qhull internal error (qh_matchduplicates): missing dupridge at f%d skip %d for new f%d skip %d hash %d qh_matchduplicates: duplicate f%d skip %d matched with new f%d skip %d merge qh_matchduplicates: duplicate f%d skip %d new f%d skip %d at dist %2.2g, max is now f%d f%d qhull internal error (qh_matchduplicates): no maximum match at duplicate f%d skip %d at hash %d qh_matchduplicates: duplicate f%d skip %d matched with new f%d skip %d keep qhull internal error (qh_nearvertex): qh.VERTEXneighbors and facet->center required for tricoplanar facets qhull internal error (qh_nearvertex): did not find bestvertex for f%d p%d qh_nearvertex: v%d dist %2.2g for f%d p%d qhull error (qh_newhashtable): negative request (%d) or size (%d). Did int overflow due to high-D? qhull error: more than 2^32 vertices. vertexT.id field overflows. Vertices would not be sorted correctly. qh_newvertex: vertex p%d(v%d) created qh_createsimplex: created simplex qh_makenewfacets: created %d new facets from point p%d to horizon qhull internal error (qh_facet3vertex): only %d vertices for simplicial facet f%d qhull internal error (qh_facet3vertex): ridges for facet %d don't match up. got at least %d qh_outcoplanar: move outsideset to coplanarset for qh NARROWhull qhull internal warning (point_add): unknown point %p id %d qhull internal errror(point_add): point p%d is out of bounds(%d) qh_check_bestdist: check points below nearest facet. Facet_list f%d qh_check_bestdist: check that all points are within %2.2g of best facet qhull output completed. Verifying that %d points are below %2.2g of the nearest %sfacet. %d points were well inside the hull. If the hull contains a lens-shaped component, these points were not verified. Use options 'Qci Tv' to verify all points. qhull precision error (qh_check_bestdist): a coplanar point is %6.2g from convex hull. The maximum value(qh.outside_err) is %6.2g qh_check_bestdist: max distance outside %2.2g qh_check_points: check all points below %2.2g of all facet planes qhull input warning: merging without checking outer planes('Q5' or 'Po'). Verify may report that a point is outside of a facet. qhull input warning: exact merge ('Qx'). Verify may report that a point is outside of a facet. See qh-optq.htm#Qx qhull input warning: no outer plane check ('Q5') or no processing of near-inside points ('Q8'). Verify may report that a point is outside of a facet. Output completed. Verifying that all points are below outer planes of all %sfacets. Will make %2.0f distance computations. Output completed. Verifying that all points are below %2.2g of all %sfacets. Will make %2.0f distance computations. qhull warning (qh_check_points): missing normal for facet f%d qhull precision error (qh_check_points): a coplanar point is %6.2g from convex hull. The maximum value(qh.outside_err) is %6.2g qh_check_points: max distance outside %2.2g qh_check_maxout: check and update maxoutside for each facet. qh_check_maxout: determine actual maxoutside and minvertex qh_check_maxout: p%d(v%d) is %.2g from f%d qh_check_maxout: p%d is %.2g above f%d qh_check_maxout: maxoutside %2.2g, min_vertex %2.2g, outside of not good %d qh_prependfacet: prepend f%d before f%d qh_furthestnext: made f%d next facet(dist %.2g) new facets %d visible facets %d next facet for qh_addpoint %d vertices(new %d):qh_triangulate_facet: triangulate facet f%d qh_triangulate_link: relink old facets f%d and f%d between neighbors f%d and f%d qhull error (qh_triangulate_link): mirror facets f%d and f%d do not match for old facets f%d and f%d qh_triangulate_mirror: delete mirrored facets f%d and f%d qh_triangulate_null: delete null facet f%d qhull internal error (qh_checkfacet): facet f%d is on the visible_list qhull internal error (qh_checkfacet): facet f%d does not have a normal qhull internal error (qh_checkfacet): deleted vertex v%d in f%d qhull internal error (qh_checkfacet): vertices of f%d are not in descending id order at v%d qhull internal error (qh_checkfacet): for simplicial facet f%d, #vertices %d + #neighbors %d != 2*qh hull_dim qhull internal error (qh_checkfacet): for facet f%d, #vertices %d or #neighbors %d < qh hull_dim qhull internal error (qh_checkfacet): for facet f%d, #ridges %d < #neighbors %d or(3-d) > #vertices %d or(2-d) not all 2 qhull internal error (qh_checkfacet): facet f%d still has a MERGE or DUP neighbor qhull internal error (qh_checkfacet): facet f%d has neighbor f%d, but f%d does not have neighbor f%d qhull internal error (qh_checkfacet): facet f%d has a duplicate neighbor f%d qhull internal error (qh_checkfacet): facet f%d has a duplicate ridge r%d qhull internal error (qh_checkfacet): ridge between f%d and f%d has %d vertices qhull internal error (qh_checkfacet): for facet f%d, neighbor f%d of ridge r%d not in facet qhull internal error (qh_checkfacet): facet f%d does not have a ridge for neighbor f%d qhull internal error (qh_checkfacet): vertex v%d in r%d not in f%d intersect f%d qhull precision error (qh_checkfacet): vertex v%d in f%d intersect f%d but not in a ridge. This is ok under merging. Last point was p%d qhull internal error (qh_checkfacet): facet f%d skip %d and neighbor f%d skip %d do not match Qhull internal error (qh_checkfacet): ridges r%d and r%d have the same vertices qh_checkpolygon: check all facets from f%d qhull internal error (qh_checkpolygon): f%d has outside points before qh facet_next qhull internal error (qh_checkpolygon): visible list f%d no longer on facet list qhull internal error (qh_checkpolygon): unknown point %p for vertex v%d first_point %p qhull internal error (qh_checkpolygon): actual number of facets is %d, cumulative facet count is %d - %d visible facets qhull internal error (qh_checkpolygon): vertex neighbors inconsistent. Totvneighbors %d, totvertices %d qhull internal error (qh_checkpolygon): actual number of vertices is %d, cumulative vertex count is %d qhull internal error (qh_checkpolygon): #vertices %d != #facets %d qhull warning: #vertices %d + #facets %d - #edges %d != 2 A vertex appears twice in a edge list. May occur during merging.qh_initialhull: initial orientation incorrect. Correct all facets Qhull precision error: Initial simplex is cocircular or cospherical. Option 'Qs' searches all points. Can not compute the upper Delaunay triangulation or upper Voronoi diagram of cocircular/cospherical points. Qhull precision error: Initial simplex is cocircular or cospherical. Use option 'Qz' for the Delaunay triangulation or Voronoi diagram of cocircular/cospherical points. Option 'Qz' adds a point "at infinity". Use option 'Qs' to search all points for the initial simplex. Qhull precision error: Initial simplex is flat (facet %d is coplanar with the interior point) qh_initialhull: simplex constructed, interior point:qhull input error: either QGn or QVn point is > p%d Options selected for Qhull %s: %s qhull input error: 'Qg QVn' (only good vertex) does not work with merging. Use 'QJ' to joggle the input or 'Q0' to turn off merging. qhull input error: 'Qg' (ONLYgood) needs a good threshold('Pd0D0'), a good point(QGn or QG-n), or a good vertex with 'QJ' or 'Q0' (QVn). qhull input error: point for QV%d is inside initial simplex. It can not be made a vertex. qh_initbuild: initial hull created and points partitioned qh_vertexneighbors: determining neighboring facets for each vertex qh_findbestlower: all neighbors of facet %d are flipped or upper Delaunay. Search all facets qh_findbestlower: f%d dist %2.2g for f%d p%d qh_triangulate: triangulate non-simplicial facets qh_triangulate: delete null facets from f%d -- apex same as second vertex qhull error (qh_triangulate): ridges still defined for f%d qh_triangulate: delete %d or more mirror facets -- same vertices and neighbors qh_triangulate: update neighbor lists for vertices from v%d qh_triangulate: identify degenerate tricoplanar facets from f%d qh_triangulate: and replace facet->f.triowner with tricoplanar facets that own center, normal, etc. qh_triangulate: delete visible facets -- non-simplicial, null, and mirrored facets qh_triangulate: all tricoplanar facets degenerate for non-simplicial facet f%d qhull error (qh_triangulate): tricoplanar facet f%d not owned by its visible, non-simplicial facet f%d qh_triangulate: all tricoplanar facets degenerate for last non-simplicial facet f%d flipped facetcoplanar or concave ridgecoplanar ridgeERRONEOUSridge with multiple neighborsDUPLICATED/MATCHgood hash %d f%d v%d neighbors:qh_printlists: facets: vertices for fridges for foutsideset for fcoplanarset for fneighbors for fvertices for rneighbors for vinitial simplex is flat_narrow-hull %6.4g Trace level %d for %s | %s Y@_A0C.AGqhull error (qh_appendmergeset): facet f%d or f%d is already a mirrored facet qhull error (qh_appendmergeset): mirrored facets f%d and f%d do not have the same vertices qh_basevertices: found %d vertices qhull error: f%d is not attached to the new facets not concave, flipped, or duplicate ridgedqh_checkzero: skip convexity check until first pre-merge qh_checkzero: testall %d, facets are %s qh_checkzero: facet f%d needs pre-merging qh_checkzero: facet f%d and f%d are not clearly convex. v%d dist %.2g qh_copynonconvex: moved nonconvex flag from r%d to r%d qh_degen_redundant_facet: test facet f%d for degen/redundant qh_degen_redundant_facet: f%d is contained in f%d. merge qh_degen_redundant_neighbors: f%d is degenerate. qh_degen_redundant_neighbors: test neighbors of f%d with delfacet f%d qh_degen_redundant_neighbors: f%d is degenerate with %d neighbors. qh_degen_redundant_neighbors: f%d is contained in f%d. merge qh_degen_redundant_neighbors: f%d is degenerate with %d neighbors. Neighbor of f%d. qhull error: cannot call qh_findbestneighor for f%d while qh.CENTERtype is qh_ASvoronoi qhull internal error (qh_findbestneighbor): no neighbors for f%d qh_findbestneighbor: f%d is best neighbor for f%d testcentrum? %d nonconvex? %d dist %2.2g min %2.2g max %2.2g qh_makeridges: make ridges for f%d qh_mark_dupridges: identify duplicate ridges qh_mark_dupridges: found %d duplicated ridges qh_maydropneighbor: test f%d for no ridges to a neighbor qh_maydropneighbor: facets f%d and f%d are no longer neighbors during p%d qh_maydropneighbors: f%d is degenerate. qh_mergecycle_neighbors: delete shared neighbors from newfacet qh_mergecycle_neighbors: update neighbors qh_mergecycle_neighbors: deleted %d neighbors and added %d qh_mergecycle_ridges: delete shared ridges from newfacet qh_mergecycle_ridges: add ridges to newfacet qhull internal error (qh_mergecycle_ridges): bad ridge r%d qh_mergecycle_ridges: found %d old ridges and %d new ones qh_mergecycle_vneighbors: update vertex neighbors for newfacet qh_mergecycle_vneighbors: deleted v%d when merging cycle f%d into f%d qh_mergecycle_vneighbors: merged vertices from cycle f%d into f%d qh_mergefacet2d: merged v%d and neighbor f%d of f%d into f%d qh_mergeneighbors: merge neighbors of f%d and f%d qh_mergeridges: merge ridges of f%d and f%d qh_mergevertex_del: deleted v%d when merging f%d into f%d qh_mergevertex_neighbors: merge vertex neighbors of f%d and f%d qh_mergevertex_neighbors: of f%d and f%d at furthest p%d f0= %p qhull internal error (qh_mergevertices): facets did not share a ridge qh_neighbor_intersections: %d vertices in neighbor intersection of v%d qh_mergesimplex: merge apex v%d of f%d into facet f%d qh_mergesimplex: update vertex neighbors of f%d qh_mergesimplex: merge ridges and neighbors of f%d into f%d qh_mergesimplex: merged simplex f%d apex v%d into facet f%d qh_remove_extravertices: test f%d for extra vertices qh_remove_extravertices: v%d deleted because it's lost all ridges qh_remove_extravertices: v%d removed from f%d because it's lost all ridges qh_renameridgevertex: ridge r%d deleted. It contained both v%d and v%d qh_renameridgevertex: swapped the top and bottom of ridge r%d qh_renamevertex: renamed v%d to v%d in several facets qh_renamevertex: renamed v%d to v%d in oldfacet f%d qh_renamevertex: renamed pinched v%d to v%d between f%d and f%d qh_test_appendmerge: coplanar angle %4.4g between f%d and f%d qh_test_appendmerge: concave f%d to f%d dist %4.4g and reverse dist %4.4g angle %4.4g during p%d qh_test_appendmerge: coplanar f%d to f%d dist %4.4g, reverse dist %4.4g angle %4.4g qh_getmergeset: %d merges found qh_getmergeset_initial: %d merges found qh_test_vneighbors: testing vertex neighbors for convexity qh_test_vneighbors: found %d non-convex, vertex neighbors qh_tracemerge: trace facet and vertex after merge of f%d and f%d, furthest p%d qh_tracemerge: trace vertex deleted at furthest p%d At %d:%d:%d & %2.5g CPU secs, qhull has merged %d facets. The hull contains %d facets and %d vertices. qh_vertexridges: found %d ridges for v%d qh_find_newvertex: find new vertex for v%d from qh_find_newvertex: vertices not in ridges for v%d qh_find_newvertex: found v%d for old v%d from %d vertices and %d ridges. qh_find_newvertex: no vertex for renaming v%d(all duplicated ridges) during p%d qh_redundant_vertex: check if v%d can be renamed qhull internal error (qh_rename_sharedvertex): v%d's neighbors not in f%d qh_rename_sharedvertex: p%d(v%d) is shared by f%d(%d ridges) and f%d qh_mergecycle_facets: make newfacet new and samecycle deleted qh_mergecycle_facets: merged facets from cycle f%d into f%d Qhull internal error (qh_mergecycle): does not work for tricoplanar facets. Use option 'Q11' qh_mergecycle: merge #%d for facets from cycle f%d into coplanar horizon f%d qh_mergecycle: ========= trace merge %d of samecycle %d into trace f%d, furthest is p%d qh_mergecycle: end of trace facet Qhull internal error (qh_mergefacet): does not work for tricoplanar facets. Use option 'Q11' qh_mergefacet: ========= trace wide merge #%d(%2.2g) for f%d into f%d, last point was p%d qh_mergefacet: ========= trace merge #%d involving f%d, furthest is p%d qh_mergefacet: #%d merge f%d into f%d, mindist= %2.2g, maxdist= %2.2g qhull internal error (qh_mergefacet): either f%d and f%d are the same or one is a visible facet qhull precision error: Only %d facets remain. Can not merge another pair. The input is too degenerate or the convexity constraints are too strong. Option 'Qx' may avoid this problem. qh_mergefacet: end of wide tracing qhull internal error (qh_forcedmerges): f%d and f%d had a duplicate ridge but as f%d and f%d they are no longer neighbors qh_forcedmerges: merged %d facets and %d flipped facets across duplicated ridges qh_merge_nonconvex: merge #%d for f%d and f%d type %d qh_merge_nonconvex: avoid merging old facet f%d dist %2.2g. Use f%d dist %2.2g instead Qhull internal error (qh_mergecycle_all): f%d without normal qh_mergecycle_all: merged %d same cycles or facets into coplanar horizons qhull internal error (qh_merge_degenredunant): f%d redundant but f%d has no replacement qh_merge_degenredundant: facet f%d is contained in f%d, will merge qh_merge_degenredundant: facet f%d has no neighbors. Deleted qh_merge_degenredundant: deleted v%d because f%d has no neighbors qh_merge_degenredundant: facet f%d has %d neighbors, merge into f%d dist %2.2g qh_flippedmerges: merge flipped f%d into f%d dist %2.2g during p%d qh_flippedmerges: merged %d flipped facets into a good neighbor qh_reducevertices: renamed %d shared vertices and %d redundant vertices. Degen? %d qh_all_merges: starting to merge facets beginning from f%d qh_all_merges: merged %d coplanar facets %d concave facets and %d degen or redundant facets. qh_postmerge: postmerge. test vneighbors? %d qh_premerge: premerge centrum %2.2g angle %2.2g for apex v%d facetlist f%d clearly convexTRACEqh_getmergeset: started. MERGEDr%d same cycle: f%dMERGING CYCLEMERGINGqh_forcedmerges: begin qh_mergecycle_all: begin qh_flippedmerges: begin reason %s with 'C%.2g' and 'A%.2g' @? At %02d:%02d:%02d & %2.5g CPU secs, qhull has created %d facets and merged %d. The current hull contains %d facets and %d vertices. Last point was p%d At %02d:%02d:%02d & %2.5g CPU secs, qhull has created %d facets and merged %d. The current hull contains %d facets and %d vertices. There are %d outside points. Next is point p%d(v%d), %2.2g above f%d. qh_addpoint: add p%d(v%d) to hull of %d facets(%2.2g above f%d) and %d outside at %4.4g CPU secs. Previous was p%d. qhull internal error (qh_nextfurthest): num_outside %d is too low by at least %d, or a random real %g >= 1.0 qh_precision: qhull restart because of %s qh_findhorizon: find horizon for point p%d facet f%d Qhull internal error (qh_findhorizon): does not work for tricoplanar facets. Use option 'Q11' qh_findhorizon: point p%d is coplanar to horizon f%d, dist=%2.7g < qh MINvisible(%2.7g) qhull precision error (qh_findhorizon): empty horizon QhullPoint p%d was above all facets. qh_findhorizon: %d horizon facets(good %d), %d visible(good %d), %d coplanar nearly incident point(narrow hull)qh_partitionpoint: point p%d is outside facet f%d new? %d (or narrowhull) qh_partitionpoint: point p%d is coplanar to facet f%d (dropped) qh_partitionpoint: point p%d is inside all facets, closest to f%d dist %2.2g qh_partitionall: partition all points into outside sets qh_partitioncoplanar: point p%d is more than near-inside facet f%d dist %2.2g findbestnew %d qh_partitioncoplanar: point p%d is inside facet f%d dist %2.2g findbestnew %d qh_partitioncoplanar: repartition point p%d from f%d. It is above flipped facet f%d dist %2.2g qh_partitioncoplanar: ====== p%d from f%d increases max_outside to %2.2g of f%d last p%d qh_partitioncoplanar: point p%d is coplanar with facet f%d(or inside) dist %2.2g qhull precision error (qh_partitionvisible): all new facets deleted as degenerate facets. Can not continue. qh_partitionvisible: partitioned %d points from outsidesets and %d points from coplanarsets qhull internal error (qh_addpoint): NULL facet. Need to call qh_findbestfacet first qh_addpoint: added p%d new facets %d new balance %2.2g point balance %2.2g qh_buildhull: start build hull qhull internal error (qh_buildhull): visible or new facet f%d in facet list qhull internal error (qh_buildhull): new vertex f%d in vertex list qh_buildhull: stop point or cone P%d in initial hull qhull internal error (qh_buildhull): %d outside points were never processed. qh_buildhull: completed the hull construction qhull precision error: %d attempts to construct a convex hull with joggled input. Increase joggle above 'QJ%2.2g' or modify qh_JOGGLE... parameters in user.h qh_qhull: all facets are clearly convex and no coplanar points. Post-merging and check of maxout not needed. Testing all coplanar points. qhull internal error (qh_qhull): temporary sets not empty(%d) At a premature exit due to 'TVn', 'TCn', 'TRn', or precision error with 'QJn'. Furthest-site Voronoi vertices by the convex hull of %d points in %d-d: Voronoi diagram by the convex hull of %d points in %d-d: Number of Voronoi regions%s: %d Total number of deleted points due to merging: %d Number of nearly incident points: %d Total number of nearly incident points: %d Number of%s Voronoi vertices: %d Number of%s non-simplicial Voronoi vertices: %d Furthest-site Delaunay triangulation by the convex hull of %d points in %d-d: Number of input sites%s: %d Number of%s Delaunay regions: %d Number of%s non-simplicial Delaunay regions: %d Halfspace intersection by the convex hull of %d points in %d-d: Number of non-redundant halfspaces: %d Number of %s halfspaces: %d Number of intersection points: %d Number of 'good' intersection points: %d Number of%s non-simplicial intersection points: %d Convex hull of %d points in %d-d: Number of 'good' facets: %d Number of%s non-simplicial facets: %d Number of triangulated facets: %d Number of points processed: %d Number of hyperplanes created: %d Number of facets in hull: %d Number of distance tests for qhull: %d Number of distance tests for merging: %d Number of distance tests for checking: %d Number of merged facets: %d CPU seconds to compute hull (after input): %2.4g Percentage of runs with precision errors: %4.1f After %d retries, input joggled by: %2.2g Maximum distance of %spoint above facet: %2.2g Maximum distance of %svertex below facet: %2.2g Delaunay triangulation by the convex hull of %d points in %d-d: coplanar horizonempty horizonnearly incident pointDISTANT_runFirst post-mergeFor testing vertex neighborsFor post-mergingQhull: algorithm completed and at-infinity 'good'similar and redundantsimilarcoplanar and interiorApproximateTotalmerged Number of halfspaces: %d Number of vertices: %d Number of %s points: %d Number of facets: %d Statistics for: %s | %s QR%d Input joggled by: %2.2g %s facet area: %2.8g %s volume: %2.8g (%.1fx) $tI?qh_distplane: from p%d to f%d Last merge was #%d. testhorizon? %d noupper? %d Last point added was p%d.Matrix:qh_gausselem: resultqh_getangle: %2.2g Last merge was #%d. Current summary is: %2.2g PP0pqh_findbesthorizon: neighbors of f%d bestdist %2.2g f%d ischeckmax? %d noupper? %d minsearch %2.2g searchdist %2.2g qh_findbesthorizon: newbest? %d bestfacet f%d bestdist %2.2g qhull precision error (qh_findbestnew): merging has formed and deleted a cone of new facets. Can not continue. qhull internal error (qh_findbestnew): no new facets for point p%d qh_findbestnew: point p%d facet f%d. Stop? %d if dist > %2.2g Last point added p%d visitid %d.qh_findbestnew: bestfacet f%d bestdist %2.2g qh_findbest: point p%d starting at f%d isnewfacets? %d, unless %d exit if > %2.2g Last merge was #%d. max_outside %2.2g qh_findbest: neighbors of f%d, bestdist %2.2g f%d qh_backnormal: zero diagonal at column %d. zero diagonal on back substitutionqh_gausselim: 0 pivot at column %d. (%2.2g < %2.2g) zero pivot for Gaussian eliminationqhull internal error (qh_getcenter): not defined for %d points qh_normalize: norm=%2.2g too small during p%d qh_getcentrum: for f%d, %d vertices dist= %2.2g qh_sethyperplane_det: degenerate norm during p%d. qh_sethyperplane_gauss: nearly singular or axis parallel hyperplane during p%d. qh_sethyperplane_gauss: singular or axis parallel hyperplane at normalization during p%d. qh_setfacetplane: facet f%d created. Last point added to hull was p%d.qh_setfacetplane: flipped orientation after testing interior_point during p%d qh_setfacetplane: ====== vertex p%d(v%d) increases max_outside to %2.2g for new facet f%d last p%d qh_setfacetplane: f%d offset %2.2g normal: qh_appendfacet: append f%d to facet_list qh_appendvertex: append v%d to vertex_list qh_attachnewfacets: delete interior ridges qh_attachnewfacets: attach horizon facets to new facets qhull internal error (qh_attachnewfacets): couldn't find visible facet for horizon f%d of newfacet f%d qh_checkflipped: facet f%d is flipped, distance= %6.12g during p%d qhull internal error (qh_facetintersect): f%d or f%d not in others neighbors qh_facetintersect: f%d skip %d matches f%d skip %d qhull internal error: negative hashsize %d passed to qh_gethash [poly.c] qh_matchvertices: matched by skip %d(v%d) and skip %d(v%d) same? %d qh_matchneighbor: newfacet f%d skip %d hash %d hashcount %d two facets with the same verticesqhull precision error: Vertex sets are the same for f%d and f%d. Can not force output. qh_matchneighbor: f%d skip %d matched with new f%d skip %d a ridge with more than two neighborsqhull precision error: facets f%d, f%d and f%d meet at a ridge with more than 2 neighbors. Can not continue. qhull internal error (qh_matchneighbor): matchfacet f%d is in f%d neighbors but not vice versa. Can not continue. qh_matchneighbor: new f%d skip %d duplicates ridge for f%d skip %d matching f%d ismatch %d at hash %d qh_matchneighbor: no match for f%d skip %d at hash %d qh_matchnewfacets: match neighbors for new facets. qhull internal error (qh_matchnewfacets): %d neighbors did not match up qh_matchnewfacets: %d new facets, %d unused hash entries . hashsize %d qh_newfacet: created facet f%d qhull warning: more than 2^32 ridges. Qhull results are OK. Since the ridge ID wraps around to 0, two ridges may have the same identifier. qh_newridge: created ridge r%d qh_removefacet: remove f%d from facet_list qh_deletevisible: delete %d visible facets and %d vertices qhull internal error (qh_deletevisible): qh num_visible %d is not number of visible facets %d qh_removevertex: remove v%d from vertex_list qhull internal error (qh_makenew_nonsimplicial): simplicial f%d sharing two ridges with f%d qh_makenew_nonsimplicial: created facet f%d from v%d and r%d of horizon f%d qh_makenew_simplicial: create facet f%d top %d from v%d and horizon f%d skip %d top %d and visible f%d skip %d, flip? %d qh_updatevertices: delete interior vertices and update vertex->neighbors qh_updatevertices: delete vertex p%d(v%d) in f%d qh_delfacet: delete f%d T%s set is null %p%s set=%p maxsize=%d size=%d elems=qhull internal error (qh_setaddnth): nth %d is out-of-bounds for set: qhull internal error (qh_setcheck): actual size %d of %s%d is greater than max size %d qhull internal error (qh_setcheck): %s%d(size %d max %d) is not null terminated. qhull internal error (qh_setdelnth): nth %d is out-of-bounds for set: qhull internal error (qh_setdelnthsorted): nth %d is out-of-bounds for set: qhull internal error (qh_setnew_delnthsorted): nth %d is out-of-bounds for set: qhull internal error (qh_setreplace): elem %p not found in set qhull internal error (qh_setsize): current set size %d is greater than maximum size %d qh_settemp: temp set %p of %d elements, depth %d qhull internal error (qh_settemppop): pop from empty temporary stack qh_settemppop: depth %d temp set %p of %d elements qhull error (qh_settemppush): can not push a NULL temp qh_settemppush: depth %d temp set %p of %d elements qhull internal error (qh_settempfree): set %p(size %d) was not last temporary allocated(depth %d, set %p, size %d) qhull internal error (qh_settruncate): size %d out of bounds for set: qhull internal error (qh_setzero): index %d or size %d out of bounds for set: 8`0qhull error (qh_memalloc): negative request size (%d). Did int overflow due to high-D? qh_mem %p n %8d alloc quick: %d bytes (tot %d cnt %d) qhull error (qh_memalloc): insufficient memory to allocate short memory buffer (%d bytes) qh_memalloc internal error: short totbuffer %d != totshort+totfree... %d qh_mem %p n %8d alloc short: %d bytes (tot %d cnt %d) qhull internal error (qh_memalloc): qhmem has not been initialized. qhull error (qh_memalloc): insufficient memory to allocate %d bytes qh_mem %p n %8d alloc long: %d bytes (tot %d cnt %d) qh_memcheck error: either qhmem is overwritten or qhmem is not initialized. Call qh_meminit() or qh_new_qhull() before calling qh_mem routines. ferr 0x%x IsTracing %d ALIGNmask 0x%xqh_memcheck: check size of freelists on qhmem qh_memcheck: A segmentation fault indicates an overwrite of qhmem Qhull internal error (qh_memcheck): totfree %d not equal to freelist total %d qh_memcheck: total size of freelists totfree is the same as qhmem.totfree qh_mem %p n %8d free short: %d bytes (tot %d cnt %d) qh_mem %p n %8d free long: %d bytes (tot %d cnt %d) qhull error (qh_meminit): insufficient memory qh_meminitbuffers: memory initialized with alignment %d qhull error (qh_memsetup): largest mem size %d is >= buffer size %d or initial buffer size %d qhull error (qh_memsetup): insufficient memory qhull error (qh_memsize): called after qhmem_setup qhull warning (memsize): free list table has room for only %d sizes memory statistics: %7d quick allocations %7d short allocations %7d long allocations %7d short frees %7d long frees %7d bytes of short memory in use %7d bytes of short memory in freelists %7d bytes of dropped short memory %7d bytes of unused short memory (estimated) %7d bytes of long memory allocated (max, except for input) %7d bytes of long memory in use (in %d pieces) %7d bytes of short memory buffers (minus links) %7d bytes per short memory buffer (initially %d bytes) %7d calls to qh_setlarger %7.2g average copy size freelists(bytes->count): %d->%d.EXE.exeQH%.4d Qhull internal error (userprintf.c): fp is 0. Wrong qh_fprintf called. [QH%.4d]%d %d %d%d %d %d VECT 1 2 1 2 1 # f%d %8.4g %8.4g %8.4g 1.0 ,{ OFF %d 1 1 # f%d 0 %8.4g %8.4g %8.4g %8.4g 1.0 } [%16.8f, %16.8f, %16.8f]}]{%16.8f, %16.8f, %16.8f}, [Polygon[{ p%d: %8.4g NULLvertex - p%d(v%d): %5.2g ridgedeleted neighbors: p%d(v%d) MERGEridge DUPLICATEridge NULLfacet - f%d - flags: top bottom simplicial tricoplanar upperDelaunay visible new notG seen coplanar mergehorizon keepcentrum dupridge mergeridge1 mergeridge2 newmerge flipped notfurthest degenerate - area: %2.2g - replacement: f%d - was horizon to f%d - merges: %d - normal: - offset: %10.7g - center: - maxoutside: %10.7g - outside set: Furthest - coplanar set: - vertices: - neighboring facets: MERGE DUP - r%d nonconvex vertices: - ridges: - all ridges:VECT 1 %d 1 %d 1 OFF 3 1 1 # intersect f%d f%d %8.4g %8.4g %8.4g %8.4g # p%d(coplanar facets) projected p%d OFF 3 1 1 # f%d # r%d between f%d f%d 3 0 1 2 %8.4g %8.4g %8.4g # ridge between f%d f%d VECT 1 2 1 2 1 # p%d VECT 1 1 1 1 1 %8.4g %8.4g %8.4g 1 %8.4g %8.4g %8.4g 0 1 }}} beginBEGINendENDThe halfspace was on line %d . Continue with %d points. ./rbox D41 %d %d %d %d 1 0 # infinity not used # %d f%d # p%d(v%d) no normal for facet f%d %d %d %d %6.16g end )); %d %d Vertices and facets: LIST # %s | %s 4VECT %d %d 1 # 1 point per line 1 # 1 color for all 0 1 1 1 # color of points 4OFF %d %d 1 %s | %s begin %d %d real PLOT(CURVES( PLOT3D(POLYGONS( { %d %d %d %d %s | %s begin %d %d real 0 2 qhull error: filename is more than %d characters, %s qhull internal error (qh_detvnorm): too few points(%d) to compute separating plane qh_detvnorm: Voronoi vertex or midpointqh_detvnorm: points %d %d midpoint dist %2.2g qh_detvnorm: points %d %d angle %2.2g nearzero %d qh_detvnorm: points %d %d Voronoi vertex %d dist %2.2g qhull internal error (qh_detvridge3): neighbors of vertex p%d are not connected at facet %d qh_eachvoronoi: Voronoi ridge of %d vertices between sites %d and %d qh_markkeep: only keep %d largest and/or %d most merged facets and/or min area %.2g qh_order_vertexneighbors: order neighbors of v%d for 3-d qhull internal error (qh_order_vertexneighbors): no neighbor of v%d for f%d %8.4g %8.4g %8.4g %8.4g %8.4g %8.4g [[%16.8f, %16.8f], [%16.8f, %16.8f]] Line[{{%16.8f, %16.8f}, {%16.8f, %16.8f}}] - shares same visible/horizon as f%d - owner of normal & centrum is facet f%d - outside set(furthest p%d): - outside set: %d points. - furthest distance= %2.2g - coplanar set(furthest p%d): - coplanar set: %d points. furthest distance= %2.2g between f%d and f%d - ridges(ids may be garbage):3 0 1 2 %8.4g %8.4g %8.4g 1.0 OFF 3 1 1 # ridge between f%d f%d {appearance {-edge -normal normscale 0} { INST geom {define vsphere OFF 18 32 48 0 0 1 1 0 0 0 1 0 -1 0 0 0 -1 0 0 0 -1 0.707107 0 0.707107 0 -0.707107 0.707107 0.707107 -0.707107 0 -0.707107 0 0.707107 -0.707107 -0.707107 0 0 0.707107 0.707107 -0.707107 0.707107 0 0.707107 0.707107 0 0.707107 0 -0.707107 0 0.707107 -0.707107 -0.707107 0 -0.707107 0 -0.707107 -0.707107 3 0 6 11 3 0 7 6 3 0 9 7 3 0 11 9 3 1 6 8 3 1 8 14 3 1 13 6 3 1 14 13 3 2 11 13 3 2 12 11 3 2 13 15 3 2 15 12 3 3 9 12 3 3 10 9 3 3 12 16 3 3 16 10 3 4 7 10 3 4 8 7 3 4 10 17 3 4 17 8 3 5 14 17 3 5 15 14 3 5 16 15 3 5 17 16 3 6 13 11 3 7 8 6 3 9 10 7 3 11 12 9 3 14 8 17 3 15 13 14 3 16 12 15 3 17 10 16 } transforms { TLIST %8.4g 0 0 0 # v%d 0 %8.4g 0 0 0 0 %8.4g 0 {appearance {-normal -edge normscale 0} {INST geom { define centrum CQUAD # f%d -0.3 -0.3 0.0001 0 0 1 1 0.3 -0.3 0.0001 0 0 1 1 0.3 0.3 0.0001 0 0 1 1 -0.3 0.3 0.0001 0 0 1 1 } transform { {INST geom { : centrum } transform { # f%d qhull input error: feasible point(dim 1 coords) is only valid for halfspace intersection qhull input warning: feasible point(dim 1 coords) overrides 'Hn,n,n' feasible point for halfspace intersection qhull error: insufficient memory for feasible point qhull input error: coordinates for feasible point do not finish out the line: %s qhull input error: only %d coordinates. Could not read %d-d feasible point. qhull input error: halfspace intersection needs a feasible point. Either prepend the input with 1 point or use 'Hn,n,n'. See manual. qhull input warning: more coordinates for 'H%s' than dimension %d qhull input error: short input file. Did not find dimension and number of points qhull input error: dimension %d(first number) should be at least 2 qhull input error: dimension %d(first number, includes offset) should be at least 3 for halfspaces qhull input error: dimension %d of feasible point is not one less than dimension %d for halfspaces qhull error: insufficient memory to read %d points qhull input warning: the input appears to be in cdd format. If so, use 'Fd' qhull input error: for cdd format, point at line %d does not start with '1' The input appears to be in cdd format. If so, you should use option 'Fd' qhull input error: line %d contained more than %d characters qhull warning: instead of %d %d-dimensional points, input contains %d points and %d extra coordinates. Line %d is the first point, line %d is the first comment, line %d is the first short line, line %d is the first long line This is the qhull test case. If any errors or core dumps occur, file a bug report against the libqhull Debian package. Type 'qhull' for a short list of options. qh_readpoints: read in %d %d-dimensional points qhull input error: missing "begin" for cdd-formated input Qhull internal error (qh_printextremes_2d): loop in facet list. facet %d nextfacet %d qh_markvoronoi: isLower %d numcenters %d Qhull internal error (qh_printvdiagram): unknown print format %d. {appearance {+edge -face} OFF %d %d 1 # Voronoi centers and cells # p%d is coplanar or isolated qhull input error (qh_printafacet): option 'Fp' needs qh feasible_point 3 %d %d %d %8.4g %8.4g %8.4g 1 # f%d f%d 3 %d %d %d %8.4g %8.4g %8.4g 1 #r%d f%d f%d qhull warning: no facets printed qhull internal error (qh_printend): number of ridges %d != number printed %d and at end %d qhull warning: output for ridges and intersections not implemented in 2-d qhull warning: output for outer/inner planes and centrums not implemented in 4-d qhull warning: output for vertices not implemented in 4-d qhull warning: 'Gnh' generates no output in 4-d {appearance {linewidth 3} LIST # %s | %s {appearance {+edge -evert linewidth 2} LIST # %s | %s qhull warning: writing Delaunay. Use 'p' or 'o' for Voronoi centers qhull warning: output is the Delaunay triangulation qhull internal error (qh_printbegin): can not use this format for dimension %d qhull warning: CDD format is not available for centrums, halfspace intersections, and OFF file format. 10 %d %d %d %d %d %d %d %d %d %d 2 size in bytes: merge %d ridge %d vertex %d facet %d normal %d ridge vertices %d facet vertices or neighbors %d qhull internal error (qh_produce_output2): temporary sets not empty(%d) qhull internal error (qh_produce_output): temporary sets not empty(%d) qhull input error: missing quote after filename -- %s qhull input error: filename expected, none found. ddےܕLLĖ̓$dttddd<``H`h`````LܡLlllLܥħܥtMb`?MbP?{Gz?qhull %s FACET: %s OTHER FACET: %s RIDGE: %s VERTEX: center point distance= %4.2g While executing: %s | %s At error exit: at error exitqhull error (qh_new_qhull): start qhull_cmd argument with "qhull " qh_new_qhull: initialize Qhull qh_new_qhull: build new Qhull for %d %d-d points with %s ERRONEOUS and NEIGHBORING FACETS to output A Qhull error has occurred. Qhull should have corrected the above precision error. Please send the input and all of the output to qhull_bug@qhull.org Precision problems were detected during construction of the convex hull. This occurs because convex hull algorithms assume that calculations are exact, but floating-point arithmetic has roundoff errors. To correct for precision problems, do not use 'Q0'. By default, Qhull selects 'C-0' or 'Qx' and merges non-convex facets. With option 'QJ', Qhull joggles the input to prevent precision problems. See "Imprecision in Qhull" (qh-impre.htm). If you use 'Q0', the output may include coplanar ridges, concave ridges, and flipped facets. In 4-d and higher, Qhull may produce a ridge with four neighbors or two facets with the same vertices. Qhull reports these events when they occur. It stops when a concave ridge, flipped facet, or duplicate facet occurs. When computing the Delaunay triangulation of coordinates > 1.0, - use 'Qbb' to scale the last coordinate to [0,m] (max previous coordinate) When computing the Delaunay triangulation: - use 'Qz' to add a point at-infinity. This reduces precision problems. If you need triangular output: - use option 'Qt' to triangulate the output - use option 'QJ' to joggle the input points and remove precision errors - use option 'Ft'. It triangulates non-simplicial facets with added points. If you must use 'Q0', try one or more of the following options. They can not guarantee an output. - use 'QbB' to scale the input to a cube. - use 'Po' to produce output and prevent partitioning for flipped facets - use 'V0' to set min. distance to visible facet as 0 instead of roundoff - use 'En' to specify a maximum roundoff error less than %2.2g. - options 'Qf', 'Qbb', and 'QR0' may also help To guarantee simplicial output: - use option 'Qt' to triangulate the output - use option 'QJ' to joggle the input points and remove precision errors - use option 'Ft' to triangulate the output by adding points - use exact arithmetic (see "Imprecision in Qhull", qh-impre.htm) qhull precision warning: The initial hull is narrow (cosine of min. angle is %.16f). Is the input lower dimensional (e.g., on a plane in 3-d)? Qhull may produce a wide facet. Options 'QbB' (scale to unit box) or 'Qbb' (scale last coordinate) may remove this warning. Use 'Pp' to skip this warning. See 'Limitations' in qh-impre.htm. The input to qhull appears to be less than %d dimensional, or a computation has overflowed. Qhull could not construct a clearly convex simplex from points: The center point is coplanar with a facet, or a vertex is coplanar with a neighboring facet. The maximum round off error for computing distances is %2.2g. The center point, facets and distances to the center point are as follows: These points are the dual of the given halfspaces. They indicate that the intersection is degenerate. These points either have a maximum or minimum x-coordinate, or they maximize the determinant for k coordinates. Trial points are first selected from points that maximize a coordinate. Because of the high dimension, the min x-coordinate and max-coordinate points are used if the determinant is non-zero. Option 'Qs' will do a better, though much slower, job. Instead of 'Qs', you can change the points by randomly rotating the input with 'QR0'. The min and max coordinates for each dimension are: %d: %8.4g %8.4g difference= %4.4g If the input should be full dimensional, you have several options that may determine an initial simplex: - use 'QJ' to joggle the input and make it full dimensional - use 'QbB' to scale the points to the unit cube - use 'QR0' to randomly rotate the input for different maximum points - use 'Qs' to search all points for the initial simplex - use 'En' to specify a maximum roundoff error less than %2.2g. - trace execution with 'T3' to see the determinant for each point. If the input is lower dimensional: - use 'QJ' to joggle the input and make it full dimensional - use 'Qbk:0Bk:0' to delete coordinate k from the input. You should pick the coordinate with the least range. The hull will have the correct topology. - determine the flat containing the points, rotate the points into a coordinate plane, and delete the other coordinates. - add one or more points to make the input full dimensional. qhull error while processing previous error. Exit program Last point added to hull was p%d. Qhull has finished constructing the hull. Qhull has started post-merging.qhull error while ending program, or qh->NOerrexit not cleared after setjmp(). Exit program with error. @rbox input error: negative coordinate %2.2g is too large. Reduce 'Bn' rbox input error: coordinate %2.2g is too large. Reduce 'Bn' rbox error: rbox in use by another process. Please lock calls to rbox. rbox error: arguments for 'Cn,r,m' are not 'int', 'float', and 'int'. Remaining string is '%s' rbox error: missing arguments for 'Cn,r,m' where n is the number of coincident points, r is the radius (default 0.0), and m is the number of points rbox error: negative arguments for 'Cn,m,r' where n (%d) is the number of coincident points, m (%d) is the number of points, and r (%.2g) is the radius (default 0.0) rbox error: dimension, D%d, out of bounds (>=%d or <=0)rbox warning: assuming 'M3,4,5' since mesh args are not integers or reals rbox error: unknown flag at %s. Execute 'rbox' without arguments for documentation. rbox error: missing space between flags at %s. rbox error: can not combine 'Ln' with 'Zn' rbox error: lens radius %.2g should be greater than 1.0 rbox error: can only specify one of 'l', 's', 'x', 'Ln', or 'Mn,m,r' ('Ln s' is ok). rbox error: 'Cn,r,m' requested n coincident points for each of m points. Either there is no points or m (%d) is greater than the number of points (%d). rbox error: missing comma after coordinate in %s rbox error: %d coordinates instead of %d coordinates in %s rbox error: insufficient memory for simplex rbox error: regular points can be used only in 2-d and 3-d rbox error: spiral distribution is available only in 3d %6.16g %6.16g %6.16g integerrealrbox error: missing count t%d t %s begin %d %d %s %d %s %d end hull &///////"////////////////b//////////C///1@wJ?-DT!@Qhull internal error (userprintf_rbox.c): fp is 0. 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