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W1=!W0A=wH51HDHHUHBHEHBB0HL HHH;EuH[A^A_]%%%%%%%%%%%%%%%%% % %%%%%%%%%% %"%$%&%(%*%,%.%0%2%4%6%8L AS% hhh!h7hLhdhxhhhhhxhnhdhZhPh Fh 1 qh_initqhull_globals: initialize globals. dim %d numpoints %d malloc? %d projected %d to hull_dim %d Q3-no-merge-vertices-dim-highQRotate-randomqhull 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) qh_initqhull_outputflags: %s Pgoodqhull 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') FvoronoiFverticesqhull 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. Qcoplanarqhull input warning: drop dimension 'GD%d' is only available for 3-d/4-d Geomview run-idqhullqhull 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 dynamic qhT via qh_QHpointer while library uses a static qhT. 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 static qhT (e.g., libqhull.so) %s %d %2.2g precision statisticsave. 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 outputconcave half ridges in outputflipped facetscoplanar 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 neighborssummary informationnumber of vertices in outputnumber of facets in outputnumber of non-simplicial facets in outputnumber of simplicial facets that were mergedaverage number of ridges per facetmaximum number of ridgesaverage number of neighbors per facetmaximum number of neighborsaverage number of vertices per facetmaximum number of verticesaverage number of neighbors per vertexcpu seconds for qhull after inputvertices created altogetherfacets created altogetherridges created altogetherfacets before post mergeaverage 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 ridgetotal area of facets maximum facet area minimum facet areabuild hull statisticspoints processedretries due to precision problems max. random jogglemax. vertices at any one timeave. visible facets per iteration ave. visible facets without an horizon neighbor ave. facets deleted per iteration maximumave. visible vertices per iterationave. horizon facets per iterationave. new or merged facets per iteration maximum(includes initial simplex)average new facet balance standard deviationaverage partition balance number of trialssearches 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)good facets founddistance tests for facet visibilitydistance tests to report minimum vertexpoints checked for facets' outer planes ave. distance tests per checkresets of visit_id resets of vertex_visit max visit_id/2 max vertex_visit/2partitioning statistics(see previous for outer planes)total vertices deleted maximum vertices deleted per iterationcalls to findbest ave. facets tested max. facets tested ave. coplanar searchcalls to findbestnew ave. clearly better calls due to qh_sharpnewfacetscalls to findhorizon horizon facets better than bestfacetangle tests for repartitioned coplanar points repartitioned coplanar points for flipped orientationinside points inside points kept with a facet inside points that were coplanar with a facetcalls to findbestlower 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 partitionpartitions of a pointdistance tests for partitioningdistance tests for checking flipped facetsdistance tests for checking convexitydistance tests for checking good pointdistance tests for outputdistance tests for statisticstotal 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 best mergedistance tests for centrum convexitydistance tests for checking simplicial convexitycoplanar angles in getmergesetcoplanar centrums in getmergesetconcave ridges in getmergesetstatistics for mergingmerge iterationsave. initial non-convex ridges per iteration maximum 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 mergedmerged a simplexsimplices merged into coplanar horizoncycles of facets merged into coplanar horizon ave. facets per cycle max. facetsnew facets merged into horizonnew facets mergedhorizon facets merged into new facetsvertices deleted by mergingvertices deleted by merging into coplanar horizonvertices deleted by degenerate facetmerges due to flipped facets in duplicated ridgemerges due to redundant neighborsnon-convex vertex neighborsmerges due to angle coplanar facets average merge distance maximum merge distancemerges due to coplanar facetsmerges due to concave facetscoplanar/concave merges due to avoiding old mergemerges due to degenerate facetsmerges due to removing flipped facetsmerges due to duplicated ridgesrenamed vertex statisticsrenamed vertices shared by two facetsrenamed vertices in a pinched facetrenamed vertices shared by multiple facetsrename failures due to duplicated ridges duplicate ridges detecteddeleted 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 ridges deletedvertex intersections for locating redundant verticesintersections failed to find a redundant vertexintersections found redundant vertices ave. number found per vertex max. found for a 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 setsVoronoi ridge statisticsnon-simplicial Voronoi vertices for all ridges ave. distance to ridge max. distance to ridgebounded ridges ave. distance of midpoint to ridge max. distance of midpoint to ridgebounded ridges with ok normal ave. angle to ridge max. angle to ridgebounded ridges with near-zero normalTriangulation statistics(Qt)non-simplicial facets triangulated ave. new facets created(may be deleted) max. new facets creatednull new facets deleted(duplicated vertex)mirrored pairs of new facets deleted(same vertices)degenerate new facets in output(same ridge)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: %6.2e %s *0 cnt*%7.2g%7d%7.3g %s qhull error: insufficient memory to copy %d points qhull internal error (qh_determinate): only implemented for dimension >= 2 qh_detjoggle: joggle=%2.2g maxwidth=%2.2g _max-widthError-roundoffAngle-premerge-with-randomAngle-postmerge-with-randomCentrum-premerge-with-randomCentrum-postmerge-with-random_one-merge_near-insideqhull error: the joggle for 'QJn', %.2g, is below roundoff for distance computations, %.2g Visible-distanceU-coplanar-distanceWidth-outside_wide-facetqhull input warning: minimum visibility V%.2g is greater than minimum outside W%.2g. Flipped facets are likely. 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_facetarea: f%d area %2.2g 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 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. _joggle-seedqh_joggleinput: joggle input by %2.2g with seed %d qh_maxmin: found the max and min points(by dim):qh_maxouter: max distance from facet to outer plane is %2.2g max_outside is %2.2g input has same x coordinateqhull 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 %6.3g %s p%dqhull 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 internal error (qh_projectpoints): newdim %d should be %d after projection qh_projectpoints: projected %d points from dim %d to dim %d 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 qh_sethalfspace: halfspace at offset %6.2g to point: %6.2gqhull input error: feasible point is not clearly inside halfspace feasible point: %6.16g halfspace: at offset: and distance: qh_sethalfspace_all: compute dual for halfspace intersection qhull error: insufficient memory to compute dual of %d halfspaces The halfspace was at index %d qh_sharpnewfacets: %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 center:p%d dist %.2g, 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. good qhull precision error: point p%d is outside facet f%d, distance= %6.8g maxoutside= %6.8g %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_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 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_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_checkconvex: check all ridges are convex flipped facetqhull precision error: f%d is flipped(interior point is outside) coplanar or concave ridgeqhull precision error: initial simplex is not convex. Distance=%.2g concave ridgeqhull precision error: f%d is concave to f%d, since p%d(v%d) is %6.4g above coplanar ridgeqhull 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 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 vertices for fridges for foutsideset for fcoplanarset for fneighbors for fqhull internal error (qh_checkfacet): deleted vertex v%d in f%d ERRONEOUSqhull 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 vertices for rqhull 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 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. 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 neighbors for vqhull 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.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_createsimplex: created simplex 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_findbestfacet: f%d dist %2.2g isoutside %d totpart %d 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_findfacet_all: f%d dist %2.2g isoutside %d totpart %d 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_furthestnext: made f%d next facet(dist %.2g) qh_furthestout: p%d is furthest outside point of f%d qhull internal error (qh_infiniteloop): potential infinite loop detected qhull input error: either QGn or QVn point is > p%d Trace level %d for %s | %s 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_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. initial simplex is flatQhull precision error: Initial simplex is flat (facet %d is coplanar with the interior point) _narrow-hullqh_initialhull: simplex constructed, interior point: %6.4gqh_makenewfacets: created %d new facets from point p%d to horizon 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 ridge with multiple neighborsDUPLICATED/MATCHqhull 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_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_prependfacet: prepend f%d before f%d hash %d f%d v%d neighbors:qh_printlists: facets: new facets %d visible facets %d next facet for qh_addpoint %d vertices(new %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 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 qh_vertexneighbors: determing neighboring facets for each vertex qh_premerge: premerge centrum %2.2g angle %2.2g for apex v%d facetlist f%d reason %s with 'C%.2g' and 'A%.2g' qh_postmerge: postmerge. test vneighbors? %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. qhull 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 qh_checkzero: skip convexity check until first pre-merge qh_checkzero: testall %d, facets are %s not concave, flipped, or duplicate ridgedclearly convexqh_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. qh_find_newvertex: find new vertex for v%d from r%d 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 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_flippedmerges: begin 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_forcedmerges: begin 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_getmergeset: started. qh_getmergeset: %d merges found qh_getmergeset_initial: %d merges found 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. 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_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): 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 same cycle: f%dMERGING CYCLEqh_mergecycle: end of trace facet qh_mergecycle_all: begin Qhull internal error (qh_mergecycle_all): f%d without normal qh_mergecycle_all: merged %d same cycles or facets into coplanar horizons qh_mergecycle_facets: make newfacet new and samecycle deleted qh_mergecycle_facets: merged facets from cycle f%d into f%d 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 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. MERGINGqh_mergefacet: end of wide tracing 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_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_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 TRACEqhull internal error (qh_mergevertices): facets did not share a ridge qh_neighbor_intersections: %d vertices in neighbor intersection of v%d qh_reducevertices: renamed %d shared vertices and %d redundant vertices. Degen? %d qh_redundant_vertex: check if v%d can be renamed 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 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_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_test_vneighbors: testing vertex neighbors for convexity qh_test_vneighbors: found %d non-convex, vertex neighbors MERGEDqh_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_qhull: all facets are clearly convex and no coplanar points. Post-merging and check of maxout not needed. First post-mergeFor testing vertex neighborsFor post-merging Testing all coplanar points. qhull internal error (qh_qhull): temporary sets not empty(%d) Qhull: algorithm completed 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 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 _runqh_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 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. qh_findhorizon: find horizon for point p%d facet f%d visibleQhull internal error (qh_findhorizon): does not work for tricoplanar facets. Use option 'Q11' coplanar horizonqh_findhorizon: point p%d is coplanar to horizon f%d, dist=%2.7g < qh MINvisible(%2.7g) horizonempty horizonqhull 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 qhull internal error (qh_nextfurthest): num_outside %d is too low by at least %d, or a random real %g >= 1.0 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 DISTANTqh_partitioncoplanar: point p%d is coplanar with facet f%d(or inside) dist %2.2g nearly incident point(narrow hull)qh_partitionpoint: point p%d is outside facet f%d new? %d (or narrowhull) nearly incident pointqh_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 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 qh_precision: qhull restart because of %s 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 and at-infinity 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 'good' Number of%s non-simplicial Voronoi vertices: %d Furthest-site Delaunay triangulation by the convex hull of %d points in %d-d: 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 halfspaces: %d Number of non-redundant halfspaces: %d similar and redundantredundantsimilar 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 vertices: %d coplanar and interiorinteriorcoplanar Number of %s points: %d Number of facets: %d Number of 'good' facets: %d Number of%s non-simplicial facets: %d Number of triangulated facets: %d Statistics for: %s | %s QR%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 Input joggled by: %2.2g %s facet area: %2.8g ApproximateTotal %s volume: %2.8g Maximum distance of %spoint above facet: %2.2gmerged (%.1fx) Maximum distance of %svertex below facet: %2.2gqh_distplane: from p%d to f%d qh_findbest: point p%d starting at f%d isnewfacets? %d, unless %d exit if > %2.2g testhorizon? %d noupper? %d Last point added was p%d. Last merge was #%d. max_outside %2.2g qh_findbest: neighbors of f%d, bestdist %2.2g f%d qh_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. Last merge was #%d. qh_findbestnew: bestfacet f%d bestdist %2.2g qh_backnormal: zero diagonal at column %d. zero diagonal on back substitutionqh_gausselim: 0 pivot at column %d. (%2.2g < %2.2g) Matrix:zero pivot for Gaussian eliminationqh_gausselem: resultqh_getangle: %2.2g qhull internal error (qh_getcenter): not defined for %d points qh_getcentrum: for f%d, %d vertices dist= %2.2g qh_normalize: norm=%2.2g too small during p%d qh_setfacetplane: facet f%d created. Last point added to hull was p%d. Last merge was #%d. Current summary is: 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: %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_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 qh_delfacet: delete f%d 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 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] 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_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_matchvertices: matched by skip %d(v%d) and skip %d(v%d) same? %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_removevertex: remove v%d from vertex_list qh_updatevertices: delete interior vertices and update vertex->neighbors qh_updatevertices: delete vertex p%d(v%d) in f%d 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: %s set is null %s set=%p maxsize=%d size=%d elems= %pqhull 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 set: qh_settemp: temp set %p of %d elements, depth %d qhull internal error (qh_settempfree): set %p(size %d) was not last temporary allocated(depth %d, set %p, size %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_settruncate): size %d out of bounds for set: qhull internal error (qh_setzero): index %d or size %d out of bounds for set: qhull 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.exe QH%.4d Qhull internal error (userprintf.c): fp is 0. Wrong qh_fprintf called. [QH%.4d]qhull internal error (qh_produce_output): temporary sets not empty(%d) 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 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_markvoronoi: isLower %d numcenters %d 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 0 %d%d no normal for facet f%d qhull input error (qh_printafacet): option 'Fp' needs qh feasible_point %d %d %d %6.16g 1 %d %d Vertices and facets: 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 LIST # %s | %s 4VECT %d %d 1 VECT %d %d 1 # 1 point per line 1 0 # 1 color for all 0 1 1 1 # color of points 4OFF %d %d 1 qhull warning: writing Delaunay. Use 'p' or 'o' for Voronoi centers %s | %s begin %d %d real qhull warning: output is the Delaunay triangulation PLOT(CURVES( PLOT3D(POLYGONS( { %d %d %d %d %s | %s begin %d %d real qhull internal error (qh_printbegin): can not use this format for dimension %d 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 %8.4g %8.4g %8.4g 0 1 }}} qhull warning: no facets printed qhull internal error (qh_printend): number of ridges %d != number printed %d and at end %d } end )); 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 internal error (qh_printextremes_2d): loop in facet list. facet %d nextfacet %d VECT 1 2 1 2 1 # f%d %8.4g %8.4g %8.4g %8.4g %8.4g %8.4g %8.4g %8.4g %8.4g 1.0 ,[[%16.8f, %16.8f], [%16.8f, %16.8f]] Line[{{%16.8f, %16.8f}, {%16.8f, %16.8f}}] { OFF %d 1 1 # f%d %8.4g %d %8.4g %8.4g %8.4g 1.0 } , [[%16.8f, %16.8f, %16.8f]]Polygon[{{%16.8f, %16.8f, %16.8f}}]OFF 3 1 1 # f%d # r%d between f%d f%d 3 0 1 2 %8.4g %8.4g %8.4g OFF 3 1 1 # ridge between f%d f%d # ridge between f%d f%d MERGEridge DUPLICATEridge NULLfacet - f%d - flags: top bottom simplicial tricoplanar upperDelaunay visible new tested notG seen coplanar mergehorizon keepcentrum dupridge mergeridge1 mergeridge2 newmerge flipped notfurthest degenerate redundant - area: %2.2g - replacement: f%d - shares same visible/horizon as f%d - owner of normal & centrum is facet f%d - was horizon to f%d - merges: %d - normal: - offset: %10.7g - center: - maxoutside: %10.7g - outside set(furthest p%d): - outside set: - outside set: %d points. Furthest - furthest distance= %2.2g - coplanar set(furthest p%d): - coplanar set: - coplanar set: %d points. furthest distance= %2.2g - vertices: - neighboring facets: MERGE DUP - ridges(ids may be garbage): r%d - ridges: - all ridges:qhull warning: CDD format is not available for centrums, halfspace intersections, and OFF file format. %d 1 %s | %s 0 2 10 %d %d %d %d %d %d %d %d %d %d 2 %6.16g %6.16g VECT 1 %d 1 %d 1 OFF 3 1 1 # intersect f%d f%d %8.4g %8.4g %8.4g # %8.4g %8.4g %8.4g %8.4g # p%d(coplanar facets) projected p%d 3 0 1 2 %8.4g %8.4g %8.4g 1.0 VECT 1 2 1 2 1 # p%d VECT 1 1 1 1 1 %8.4g %8.4g %8.4g 1 p%d: %8.4g - r%d nonconvex vertices: between f%d and 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 1 }}} Qhull internal error (qh_printvdiagram): unknown print format %d. NULLvertex - p%d(v%d): %5.2g deleted ridgedeleted neighbors: p%d(v%d)1 %d {appearance {+edge -face} OFF %d %d 1 # Voronoi centers and cells %d %d %d 1 0 # infinity not used # %d f%d # p%d(v%d) # p%d is coplanar or isolated %d %d %d %d %d %dqhull 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. beginBEGINqhull input error: missing "begin" for cdd-formated input 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 endENDqhull 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 halfspace was on line %d 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. Continue with %d points. ./rbox D4 This is the qhull test case. If any errors or core dumps occur, recompile qhull with 'make new'. If errors still occur, there is an incompatibility. You should try a different compiler. You can also change the choices in user.h. If you discover the source of the problem, please send mail to qhull_bug@qhull.org. Type 'qhull' for a short list of options. qh_readpoints: read in %d %d-dimensional points 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: filename expected, none found. qhull input error: missing quote after filename -- %s qhull qhull 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 qhull error while processing previous error. Exit program While executing: %s | %s Last point added to hull was p%d. Qhull has finished constructing the hull. Qhull has started post-merging. At error exit: at error exitqhull error while ending program, or qh->NOerrexit not cleared after setjmp(). Exit program with error. %s FACET: %s OTHER FACET: %s RIDGE: %s VERTEX: 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: center pointfacet distance= %4.2g 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. 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: missing count 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). t%d t %s begin %d %d %s integerreal%d %s %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 end hull rbox input error: negative coordinate %2.2g is too large. Reduce 'Bn' rbox input error: coordinate %2.2g is too large. Reduce 'Bn' %d %d %d %d %d %6.16g %6.16g %6.16g Qhull internal error (userprintf_rbox.c): fp is 0. 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