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matplotlib / _qhull.cpython-314-arm-linux-androideabi.so
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}}}HHt ¸¸\´A°°C°°ǄC°°ǄC°°ǄC°°ǄA°°A°°C°°ǄA°°A°°DA°°DA°°A°°DA°°DA°°DA°°DA°°DA°°DA°°D6C°°°Çÿÿ	PT@h6¯FÿÿätE°°߄A°°C°°Ǆ(6C°°°ÿ|$$øxÀ|$ü¨ÜÈØØ4à¸°ÄÄô°´ÀÌÌÜìÈøü´ à°5A°°°ÿ=%,00$TXtx}}_qhullutf-8self__pybind11_module_cacheqh_freebuild: free temporary sets (qh_settempfree_all)
qhull option warning: no maximum roundoff given for option 'En'
qhull option warning: unknown 'Q' qhull option 'Q1%c', skip to next space
TV-stop-before-pointqhull option warning: dimension %d for Qhull option 'Q%c' is >= %d.  Ignored
qh_joggleinput: joggle input by %4.4g with seed %d
input has same x coordinateqh_maxsimplex: searching all points for %d-th initial vertex, better than mindet %4.4g, targetdet %4.4g
0 Polygon[{3 0 1 2 %8.4g %8.4g %8.4g
OFF 3 1 1 # ridge between f%d f%d
 isarea0
2   NULLvertex
qhull input error: filename expected, none found.
qh_buildhull: start build hull
qh_partitionvisible: partitioned %d points from outsidesets, %d points from coplanarsets, and %d deleted vertices
  Number of halfspaces: %d
  Number of vertices: %d
  CPU seconds to compute hull (after input): %2.4g
  %s volume:       %2.8g
  Maximum distance of point above facet: %2.2gqh_mem %p n %8d alloc short: %d bytes (tot %d cnt %d)
%7d calls to qh_setlarger
%7.2g     average copy size
qh_appendmergeset: dupridge will merge a non-flipped facet f%d into flipped f%d, dist %4.4g
qh_check_dupridge: dupridge between f%d and f%d (vertex dist %2.2g), dist %2.2g, reverse dist %2.2g, ratio %2.2g while processing p%d
qhull internal error (qh_checkdelridge): unexpected 'nonconvex' flag for ridge r%d in newfacet f%d.  Otherwise need to call qh_delridge_merge
qh_checkzero: facet f%d and f%d are not clearly convex.  v%d dist %.2g
qh_flippedmerges: merged %d flipped and %d degenredundant facets into a good neighbor
qh_mark_dupridges: restore missing neighbors and ridges due to qh_MERGEridge
qh_maybe_duplicateridge: will merge v%d into v%d (dist %2.2g) due to duplicate ridges r%d/r%d with the same vertices.  mergevertex set
qhull internal error (qh_mergecycle): does not work for tricoplanar facets.  Use option 'Q11'
qh_mergefacet: ========= trace wide merge #%d(%2.2g) for f%d into f%d for mergetype %d (%s), last point was p%d
qh_mergefacet: ========= trace merge #%d for f%d into f%d for mergetype %d (%s), furthest is p%d
qhull topology error: Only %d facets remain.  The input is too degenerate or the convexity constraints are too strong.
qh_mergevertex_neighbors: merge vertex neighborset for f%d into f%d
Qhull precision warning (qh_check_maxout): f%d.maxoutside (%4.4g) is greater than computed qh.max_outside (%2.2g) + qh.DISTround (%2.2g).  It should be less than or equal
concave ridgeqhull 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 internal error (qh_checkfacet): facet f%d has a duplicate neighbor f%d
qhull internal error (qh_checkvertex): unknown vertex id v%d >= qh.vertex_id (%d)
qh_printlists: max_outside %2.2g all facets:qh_matchnewfacets: maxdupdist %2.2g, new facets %d, unused hash entries %d, hashsize %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:
%s set is null
summary information  maximum cosine of facet normals (flatest) across a ridgepoints checked for facets' outer planesdistance tests for vertex convexitysimplices merged into coplanar horizonnon-convex vertex neighbors  deletedVoronoi ridge statisticsnon-simplicial Voronoi vertices for all ridgesqh_new_qhull: build new Qhull for %d %d-d points with %s
make_default_metaclass(): error allocating metaclass!evalconstructorpybind11 numpy support requires numpy >= 1.7.0qhull option error: expecting a positive number for maximum roundoff 'En'.  Got '%s'
FD-cdd-outqhull option warning: missing facet count for keep area option 'PAn'
Qrandom-outsideQz-infinity-pointqhull option warning: missing good point id for option 'QGn'.  Ignored
Tverifyqhull option error: cannot open file "%s" for writing as option 'TO'.  It is already in use or read-only
qhull option warning: missing rerun count for trace option 'TRn'
qhull input warning: minimum visibility V%.2g is greater than 
minimum outside W%.2g.  Flipped facets are likely.
_joggle-seedqhull input error: input is less than %d-dimensional since all points have the same x coordinate %4.4g
qh_rotatepoints: rotate points byThe halfspace was at index %d
qh_voronoi_center: det %2.2g factor %2.2g     - ridges (tentative ids):%8.4g %8.4g %8.4g %8.4g # qhull internal error: qh_checklists failed on reset of qh.visit_id %u
Qhull internal error (qh_partitioncoplanar): infinite loop due to recursive call to qh_partitionpoint.  Repartition point p%d from f%d as a outside point dist %2.2g nearest vertices %2.2g
  Number of%s Voronoi vertices: %d
  Number of%s non-simplicial Voronoi vertices: %d
qh_memcheck: total size of freelists totfree is the same as qh->qhmem.totfree
qh_drop_mergevertex: unset mergevertex for r%d and r%d due to dropped vertex merge v%d to v%d.  Sets mergevertex2
qhull internal error (qh_maydropneighbor): facet f%d has deleted neighbor f%d (qh.visible_list)
qh_mergesimplex: move r%d with f%d to f%d, new neighbor? %d, maybe horizon? %d
qh_tracemerge: trace facet and vertex after merge of f%d into f%d type %d (%s), furthest p%d
qh_willdelete: move f%d to visible list, set its replacement as f%d, and clear f.neighbors and f.ridges
qhull internal error (qh_checkpolygon): v%d is 'newfacet' but it is not on new vertex list v%d
v%d qh_triangulate: delete null facets from facetlist f%d.  A null facet has the same first (apex) and second vertices
qh_triangulate_mirror: delete mirrored facets f%d and f%d and link their neighbors
qh_appendvertex: append v%d to qh.newvertex_list and set v.newfacet
qh_update_vertexneighbors: delete interior vertices for qh.visible_list (f%d)
zero divisors during back substitute  standard deviation  maximum additional in one pass  additional non-convex ridgesdeleted ridges due to renamed verticesqhull internal error: qh_checklists failed on qh_collectstatistics
 %6.2g radius of post-merge centrum
QH%.4d <MESSAGE UNAVAILABLE>

At:
initialize_generic: Unexpected nullptr from PyCFunction_GET_SELFcpp_function::cpp_function(): Could not allocate function objectUNEXPECTED CALL OF function_record_PyTypeObject_methods::tp_alloc_impl

Did you forget to `#include <pybind11/stl.h>`? Or <pybind11/complex.h>,
<pybind11/functional.h>, <pybind11/chrono.h>, etc. Some automatic
conversions are optional and require extra headers to be included
when compiling your pybind11 module.Caught an unknown exception!Random-perturbGall-pointsqhull option warning: missing facet area for option 'PFn'
qhull option warning: missing merge count for option 'PMn'
QupperDelaunayqhull option warning: missing random seed for option 'QRn'
qhull option warning: missing frequency count for trace option 'TFn'
qhull option error: see previous warnings, use 'Qw' to override: '%s' (last offset %d)
qhull option warning: joggle ('QJ') produces simplicial output (i.e., triangles in 2-D).  Unless merging is requested, option 'Qt' has no effect
qhull option error: Geomview output is only available for 2-d, 3-d and 4-d
qhull internal error (qh_determinate): only implemented for dimension >= 2
qhull input error (qh_scalelast): can not scale last coordinate to [%4.4g, %4.4g].  New bounds are too wide for compared to existing bounds [%4.4g, %4.4g] (width %4.4g)
qh_setdelaunay: project %d points to paraboloid for Delaunay triangulation
4VECT %d %d 1
%8.4g %8.4g %8.4g 1.0
%8.4g %8.4g %8.4g 1.0 }
1 %d
qh_qhull: finished qh_buildhull and qh_postmerge, start tracing (TP-1)
qhull internal error: qh_checklists failed at qh_printsummary
  Number of input sites%s: %d
qh_all_merges: merge f%d and f%d type %d dist %2.2g angle %4.4g
qh_basevertices: found %d vertices
makeridges: appended r%d to ridges for f%d.  Next is ridges for neighbor f%d
qh_mark_dupridges: found %d duplicated ridges (MRGdupridge) for qh_getpinchedmerges
qh_merge_degenredundant: deleted v%d because f%d has no neighbors
qhull internal error (qh_merge_pinchedvertices): qh.visible_list (f%d), newfacet_list (f%d), or newvertex_list (v%d) not empty
qhull precision error (qh_merge_twisted): twisted facet f%d with pinched vertices.  Could merge vertices, but too wide to merge into neighbor.   mindist %2.2g maxdist %2.2g vertexdist %2.2g neighbor f%d mindist %2.2g maxdist %2.2g
qh_renamevertex: ignore duplicate check for r%d.  bottom f%d (size %d) will be degenerate after rename v%d to v%d
qhull internal error (qh_checkfacet): facet f%d has a duplicate ridge r%d
qhull input error: point for QV%d is inside initial simplex.  It can not be made a vertex.
Qhull precision error: Initial simplex is flat (facet %d is coplanar with the interior point)
qh_matchdupridge: try good dupridge new f%d skip %d into f%d skip %d at dist %2.2g otherdist %2.2g
qh_vertexneighbors: determining neighboring facets for each vertex
qh_matchneighbor: f%d skip %d matched with new f%d skip %d
qh_matchnewfacets: match neighbors for new facets.
qh_update_vertexneighbors: update v.neighbors for qh.newvertex_list (v%d) and qh.newfacet_list (f%d)
qhull internal error (qh_setsize): current set size %d is greater than maximum size %d
simplicial facets that were non-simplicialpoints ignored (pinched apex)  maximum merge distancemerges due to concave facetsrenamed vertices shared by multiple facetsfor ridges and their vertex sets
MESSAGE UNAVAILABLE DUE TO EXCEPTION: pybind11::detail::internals_pp_manager::create_pp_content_once() FAILED: reentrant call detected while fetching pybind11 internals!__setstate__" with a function of the same name is not pickleable. arguments. The following argument types are supported:
version()
--

Return the qhull version string.numpy.coreNumPy: shape ndim doesn't match strides ndimQbBound-unit-boxQ6-no-concave-mergeTstatisticsqhull option error: option 'Fp' is only used for 
halfspace intersection('Hn,n,n').
qhull option warning: no dimension given for Print option 'P%c' at: %s.  Ignored
qhull internal error (qh_option): option (%d chars) has more than %d chars.  May overflow temporary buffer.  Option '%s'
qh_maxsimplex: searching all points for %d-th initial vertex, better than p%d det %2.2g and mindet %4.4g, targetdet %4.4g
from p%d to f%d
qhull internal error (qh_findbestnew): no new facets for point p%d
qhull internal error (qh_detvridge3): neighbors of vertex p%d are not connected at facet %d
{INST geom { : centrum } transform { # f%d
}
    - vertices: %8.4g
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
Qhull topology error (qh_partitioncoplanar): can not repartition coplanar point p%d from f%d as outside point above f%d.  It previously failed to form a cone of facets, dist %2.2g, nearest vertices %2.2g
qh_partitioncoplanar: == p%d from f%d increases qh.max_outside to %2.2g of f%d last p%d
similarqh_all_merges: skip qh_reducevertices due to post-merging, no qh.VERTEXneighbors (%d), or hull_dim %d ==2 or >%d
qh_appendmergeset: f%d is already redundant (%d) or f%d is already redundant (%d).  Ignore merge f%d and f%d type %d
qhull internal error (qh_appendvertexmerge): expecting two distinct ridges for MRGvertices.  Got r%d r%d
qh_findbest_ridgevertex: best pinched p%d(v%d) and vertex p%d(v%d) are closest (%2.2g) for duplicated ridge r%d (same vertices) between f%d and f%d
qhull internal error (qh_freemergesets): expecting mergesets.  Got a NULL mergeset, qh.facet_mergeset (0x%x), qh.degen_mergeset (0x%x), qh.vertex_mergeset (0x%x)
qhull internal error (qh_initmergesets): expecting NULL mergesets.  Got qh.facet_mergeset (0x%x), qh.degen_mergeset (0x%x), qh.vertex_mergeset (0x%x)
qh_mergecycle_facets: make newfacet new and samecycle deleted
qh_mergeneighbors: merge neighbors of f%d and f%d

At %d:%d:%d & %2.5g CPU secs, qhull has merged %d facets with max_outside %2.2g, min_vertex %2.2g.
  The hull contains %d facets and %d vertices.
qhull internal error (qh_checklists): either qh.vertex_tail v%d is NULL, or its id is not 0, or its next is not NULL
qhull internal error (qh_checkpolygon): f%d is on qh.newfacet_list f%d but it is not 'newfacet'
qh_clearcenters: switched to center type %d
qh_findgood_all: %d good facets remain out of %d facets
qhull internal error (qh_replacefacetvertex): f%d already contains new v%d
qhull internal error (qh_attachnewfacets): could not find visible facet for horizon f%d of newfacet f%d
qhull internal error (qh_setcheck): actual size %d of %s%d is greater than max size %d
maximum number of ridges  ave. visible facets without an horizon neighbor    maximum vertices deleted per iteration  facets per search of all facetstotal lookups of subridges (duplicates and boundary)average number of tests per subridgestatistics for determining merges  ave. number of ridges per tested vertex  max. distance to ridge%7d
At error exit:
%s VERTEX:

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
pybind11_static_property__pybind11_module_local_v11_system_libcpp_abi1__precision errorfacetsFcoplanarsQallow-shortQ7-no-breadth-firstQGood-if-dont-see-pointTInput-fileqhull option error: option 'FC' is not available for Voronoi vertices('v')
run-idAngle-postmerge-with-randomqh_detsimplex: det=%2.2g for point p%d, dim %d, nearzero? %d
qhull precision error (qh_maxsimplex for voronoi_center): %d points with the same x coordinate %4.4g
qhull input error (qh_scalelast): can not scale last coordinate to [%4.4g, %4.4g].  Input is cocircular or cospherical.   Use option 'Qz' to add a point at infinity.
 Last merge #%d, max_outside %2.2g
qh_gausselim: 0 pivot at column %d. (%2.2g < %2.2g)
qhull internal error (qh_produce_output2): temporary sets not empty(%d)
VECT %d %d 1
qhull internal error (qh_printbegin): can not use this format for dimension %d
{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 { 
qhull internal error (qh_printextremes_2d): loop in facet list.  facet %d nextfacet %d
 bottom newfacet simplicialbot           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
1

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_findhorizon: %d horizon facets(good %d), %d visible(good %d), %d coplanar
qhull internal error (qh_nextfurthest): null facet or infinite loop detected for qh.facet_next f%d facet_tail f%d
qhull internal error (qh_partitioncoplanar): cannot partition coplanar p%d of f%d into visible facet f%d
Qhull precision warning: repartition coplanar point p%d from f%d as an outside point above hidden facet f%d dist %2.2g nearest vertices %2.2g
 'good'coplanar and interiorqh_meminitbuffers: memory initialized with alignment %d
flip
%s with 'C%.2g' and 'A%.2g'
qh_checkzero: testall %d, facets are %s
qh_copynonconvex: moved nonconvex flag from r%d to r%d between f%d and f%d
qh_getmergeset: started.
qh_mergecycle_facets: merged facets from cycle f%d into f%d
qh_mergeridges: merge ridges of f%d into f%d
qh_mergevertex_neighbors: of f%d into f%d at furthest p%d f0= %p
qh_remove_extravertices: v%d removed from f%d because it's lost all ridges

%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 internal error (qh_checkfacet): facet f%d does not have a normal
qhull internal error (qh_checkfacet): facet f%d still has a MERGEridge or DUPLICATEridge neighbor
qhull warning: #vertices %d + #facets %d - #edges %d != 2.  A vertex appears twice in a edge list.  May occur during merging.
qh_furthestnext: made f%d next facet(dist %.2g)
qhull input error: either QGn or QVn point is > p%d
qhull internal error (qh_nearvertex): qh.VERTEXneighbors and facet->center required for tricoplanar facets

  qh.visible_list f%d, newfacet_list f%d, facet_next f%d for qh_addpoint
  qh.newvertex_list v%d all vertices:precision statisticsdupridges with flip facet into good flip neighbor  max. random joggle    maximum (includes initial simplex)  repartitioned coplanar points above a hidden facetdistance tests for centrum convexityconcave ridges in getmergesetmerges due to removing flipped facetsmerges due to twisted facetsintersections failed to find a redundant vertex  ave. distance to ridge  max. new facets created
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
%6.2e %7.3g
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.
pybind11::detail::error_string failed to obtain the name of the original active exception type.__qualname__, input inconsistencyCentrum-postmergeqhull option warning: missing random perturbation for option 'Rn'
FCentrumsFPoint-nearestGouterQb-project-dimQ0-no-premergeQV-good-facets-not-pointTflushqhull option warning: missing furthest point id for trace option 'TVn'
qhull configuration warning (qh_RANDOMmax in user_r.h): average of 1000 random integers (%.2g) is much different than expected (%.2g).  Is qh_RANDOMmax (%.2g) wrong?
qh_initqhull_outputflags: %s
qh_maxmin: dim             min             max           width    nearzero  min-point  max-point
qh_maxsimplex: selected point p%d for %d`th initial vertex, det=%4.4g, targetdet=%4.4g, mindet=%4.4g
 %6.2gqh_distplane: Line[{{%16.8f, %16.8f}, {%16.8f, %16.8f}}]
# r%d between f%d f%d
 MERGEridge
 top     - all ridges: # p%d
 delridgeqhull error: insufficient memory for 'Hn,n,n'
qhull internal error (qh_addpoint): NULL facet.  Need to call qh_findbestfacet first
qh_buildhull: stop after adding %d vertices
qh_partitionpoint: point p%d is inside all facets, closest to f%d dist %2.2g
  Number of triangulated facets: %d
anglecoplanarqh_all_merges: drop merge of f%d (tested? %d) into f%d (tested? %d) mergetype %d, dist %2.2g, angle %4.4g.  Merge independent sets of coplanar merges
qh_all_vertexmerges: starting to merge %d vertex merges for apex p%d facet f%d
qhull internal error (qh_getpinchedmerges): expecting MRGdupridge from qh_mark_dupridges.  Got merge f%d f%d type %d
qh_merge_degenredundant: merge redundant f%d into f%d (arg f%d)
  same cycle:qh_mergecycle_ridges: add ridges to newfacet
qh_mergecycle_vneighbors: merged vertices from cycle f%d into f%d
qh_renamevertex: renaming v%d to v%d in several facets for qh_redundant_vertex or MRGsubridge
qh_test_nonsimplicial_merge: concave centrum for f%d or f%d, dist %4.4g and reverse dist %4.4g, angle %4.4g during p%d
qh_test_nonsimplicial_merge: concave f%d v%d to f%d v%d, dist %4.4g and reverse dist %4.4g, angle %4.4g during p%d
qhull precision error (qh_check_points): %d additional points outside facet f%d, maxdist= %6.8g

input sites with last coordinate projected to a paraboloid
qh_replacefacetvertex: replace v%d with v%d in f%d
qhull internal error (qh_triangulate): tricoplanar facet f%d not owned by its visible, non-simplicial facet f%d
qhull internal error: negative hashsize %d passed to qh_gethash [poly_r.c]
two new facets with the same verticesqhull internal error (qh_setdelnthsorted): nth %d is out-of-bounds for set:
flipped facetsdeterminants for initial hull or voronoi vertices  max vertex_visit/2concave-coplanar ridges in getmergesetmerges due to concave-coplanar facetsdropped neighbors due to renamed vertices%s
%7.2g
While executing: %s | %s
make_static_property_type(): error allocating type!make_static_property_type(): failure in PyType_Ready()!__dict__(): incompatible pybind11_objectmathematicaHalfspaceVisibleU-coplanarqhull option warning: unknown 'F' output option 'F%c', skip to next space
Qsearch-initial-simplexQxact-mergeqhull option warning: good vertex already defined for option 'QVn'.  Ignored
Trace-pointqh_findbest: neighbors of f%d, bestdist %2.2g f%d
zero pivot for Gaussian elimination    size in bytes: merge %d ridge %d vertex %d facet %d
         normal %d ridge vertices %d facet vertices or neighbors %d
qh_detvnorm: points %d %d midpoint dist %2.2g
qhull internal error (qh_order_vertexneighbors): call qh_vertexneighbors before calling qh_order_vertexneighbors
%6.16g 0 1 1 1  # color of points
3 %d %d %d %8.4g %8.4g %8.4g 1 # f%d f%d
 seen notfurthest %5.2g QR%d

 (%.1fx)
qhull error (qh_memalloc): insufficient memory to allocate %d bytes
concavecoplanardupridgeqhull topology error (qh_check_dupridge): wide merge (%.1fx wider) due to dupridge between f%d and f%d (vertex dist %2.2g), merge dist %2.2g, while processing p%d
- Allow error with option 'Q12'
clearly convexqh_merge_degenredundant: facet f%d has %d neighbors, merge into f%d dist %2.2g
qh_mergesimplex: merge ridges and neighbors of f%d into f%d
qh_rename_sharedvertex: p%d(v%d) is shared by f%d(%d ridges) and f%d
qhull internal error (qh_checkpolygon): actual number of vertices is %d, cumulative vertex count is %d
qhull warning: point p%d is not a vertex('QV%d').
qh_findgood_all: f%d is closest(%2.2g) to split thresholds
qh_findgood_all: undo selection of qh.GOODclosest f%d since it would fail qh_inthresholds in qh_skipfacet
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 internal error (qh_facetintersect): f%d or f%d not in other's neighbors
qh_matchneighbor: new f%d skip %d duplicates ridge for f%d skip %d matching f%d ismatch %d at hash %d
max. distance of an output vertex to a facetmin. distance of an output vertex to a facetcpu seconds for qhull after input  near inside points kept with a facetcentrums frozen due to a wide mergecentrums frozen due to extra verticesfor input points, outside and coplanar sets, and qhT  max. distance of midpoint to ridge
A Qhull topology error has occurred.  Qhull did not recover from facet merges and vertex merges.
This usually occurs when the input is nearly degenerate and substantial merging has occurred.
See http://www.qhull.org/html/qh-impre.htm#limit
): overloading a method with both static and instance methods is not supported; #define PYBIND11_DETAILED_ERROR_MESSAGES or compile in debug mode for more details(*args, **kwargs)
arg. 	

')qhull option warning: missing visible distance for option 'Vn'
FinnerFVertex-averageFxtremesQTestPointsqhull option warning: additional output formats ('Fc',etc.) are not compatible with Geomview ('G').  Use option 'Po' to override
qhull option error: use upper-Delaunay('Qu') or infinity-point('Qz') with Delaunay('d') or Voronoi('v')
qhull error: dimension %d must be > 1
QRotate-randomqh_backnormal: zero diagonal at column %d.
qh_setfacetplane: f%d offset %2.2g normal: %d
qhull warning: input sites of Delaunay regions (option 'i').  Use option 'p' or 'o' for Voronoi centers.  Disable warning with option 'Pp'
%d
%d %d %d
    - flags: notG redundant    - merges: %dmax
    - offset: %10.7g
    - center: 3 0 1 2 %8.4g %8.4g %8.4g 1.0
 p%d(v%d)First post-mergeqhull topology error (qh_findhorizon): empty horizon for p%d.  It was above all facets.
qhull topology error (qh_partitionvisible): all new facets deleted as
       degenerate facets. Can not continue.
  Number of nearly incident points: %d

Furthest-site Delaunay triangulation by the convex hull of %d points in %d-d:

qh_checkzero: skip convexity check until first pre-merge
qh_find_newvertex: no vertex for renaming v%d (all duplicated ridges) during p%d
qh_flippedmerges: merge flipped f%d into f%d dist %2.2g during p%d
qh_mark_dupridges: identify dupridges in facetlist f%d, allmerges? %d
qhull internal error (qh_maydropneighbor): not valid for simplicial f%d while adding furthest p%d
qh_merge_degenredundant: merge %d degenerate, redundant, and mirror facets
qh_merge_twisted: merge #%d for twisted f%d and f%d
qh_renameridgevertex: swapped the top and bottom of ridge r%d
qh_renamevertex: renaming v%d to v%d in oldfacet f%d for qh_rename_sharedvertex
Qhull precision warning: in post-processing (qh_check_maxout) p%d for f%d is %2.2g above twisted facet f%d nearest vertices %2.2g
qh_check_points: max distance outside %2.2g
qh_createsimplex: created simplex
qh.interior_pointQhull precision error: initial Delaunay input sites are cocircular or cospherical.  Option 'Qs' searches all points.  Use option 'QJ' to joggle the input, otherwise cannot compute the upper Delaunay triangulation or upper Voronoi diagram of cocircular/cospherical points.
qh_matchdupridge: try furthest dupridge f%d skip %d new f%d skip %d at dist %2.2g
qh_makenew_nonsimplicial: created facet f%d from v%d and r%d of horizon f%d
qhull internal error (qh_matchnewfacets): %d neighbors did not match up
qh_matchvertices: matched by skip %d(v%d) and skip %d(v%d) same? %d
concave half ridges in output  repartitioned coplanar points above a twisted facet  with rare search of all facetsangles computed for ridge convexity  average merge distancemerge degenerate facets due to dropped neighborsERRONEOUS and NEIGHBORING FACETS to output
qhull precision warning: The initial hull is narrow.  Is the input lower
dimensional (e.g., a square in 3-d instead of a cube)?  Cosine of the minimum
angle is %.16f.  If so, Qhull may produce a wide facet.
Options 'Qs' (search all points), 'Qbb' (scale last coordinate), or
'QbB' (scale to unit box) may remove this warning.
See 'Limitations' in qh-impre.htm.  Use 'Pp' to skip this warning.
  %d:  %8.4g  %8.4g  difference= %4.4g

A wide merge error has occurred.  Qhull has produced a wide facet due to facet merges and vertex merges.
This usually occurs when the input is nearly degenerate and substantial merging has occurred.
See http://www.qhull.org/html/qh-impre.htm#limit
pybind11::error_already_setpybind11_typeverboseFAILURE obtaining numpy _ARRAY_API pointer.numpy._corex and y must be 1D arraysAngle-postmergeFIDsFneighborsPdrop-facets-dim-lessQvertex-neighbors-convexqhull option error: test vertex neighbors('Qv') needs a merge option
Pgoodqhull option error: Geomview output for Voronoi diagrams only for 2-d
qhull option warning: value %2.4g for Print option 'P%c' is > +1 or < -1.  Ignored
qh_findbesthorizon: p%d, newbest? %d, bestfacet f%d, bestdist %2.2g, numfacet %d, coplanarfacets %d, numdist %d
 newmergeVECT 1 1 1 1 1
%d %d %d  Number of 'good' intersection points: %d
  Number of hyperplanes created: %d
  Input joggled by: %2.2g
qh_memsize: quick memory of %d bytes
qhull internal error (qh_findbest_pinchedvertex): did not find best vertex for subridge of dupridge between f%d and f%d, while processing p%d
qh_mergecycle: ========= trace merge %d of samecycle %d into trace f%d, furthest is p%d
qhull internal error (qh_test_redundant_neighbors): facet f%d has deleted neighbor f%d (qh.visible_list)
qh_check_bestdist: check points below nearest facet.  Facet_list f%d
qhull internal error (qh_checklists): qh.visible_list f%d is after qh.newfacet_list f%d.  It should be at, before, or NULL
qhull internal error (qh_infiniteloop): potential infinite loop detected.  If visible, f.replace. If newfacet, f.samecycle
qhull internal error (qh_replacefacetvertex): f%d is not simplicial
qh_triangulate_facet: triangulate facet f%d
qh_attachnewfacets: attach horizon facets to new facets
qhull internal error (qh_deletevisible): qh->num_visible %d is not number of visible facets %d
  max visit_id/2  with search of vertex neighborsduplicated ridges in same merge cyclenew facets mergedmerges due to degenerate facets   ave. number found per vertex  ave. new facets created (may be deleted)mirrored pairs of new facets deleted (same vertices)degenerate new facets in output (same ridge)
When computing the Delaunay triangulation of coordinates > 1.0,
  - use 'Qbb' to scale the last coordinate to [0,m] (max previous coordinate)
_pybind11_conduit_v1__ARRAY_APIQ10-no-narrowqhull option warning: 'TCn' (stopCone) ignored when used with 'QJn' (joggle)
qhull configuration error (qh_RANDOMmax in user_r.h): random integer %d > qh_RANDOMmax (%.8g)
qh_detroundoff: increase qh.ANGLEround by option 'R%2.2g'
qhull internal error (qh_facetarea_simplex): #points %d != dim %d -1
qhull internal error (qh_projectpoints): newdim %d should be %d after projection
0
%d
%d
LIST # %s | %s
 DUPLICATEridge
 NULLfacet
 cycledone mergeridge2    - replacement: f%d
    - was horizon to f%d
     - r%d%d
%d %d 1
qhull input error: missing quote after filename -- %s
qhull internal error (qh_addpoint): infinite loop (%d retries) of merging pinched vertices due to dupridge for point p%d, facet f%d, and %d vertices

Furthest-site Voronoi vertices by the convex hull of %d points in %d-d:

  Total number of nearly incident points: %d
  Number of%s non-simplicial Delaunay regions: %d
  Number of %s halfspaces: %d
  Number of facets: %d
qhull internal error (qh_checkdelridge): expecting empty qh.vertex_mergeset in order to avoid calling qh_delridge_merge.  Got %d merges
qhull internal error (qh_mergefacet): merge f%d into f%d for mergetype %d (%s) does not work for tricoplanar facets.  Use option 'Q11'
qh_check_maxout: p%d is %.2g above f%d
qhull precision error: f%d is clearly not convex to f%d, since p%d(v%d) is %6.4g above or coplanar with f%d with qh.ZEROcentrum
qhull internal error (qh_checklists): unknown or overwritten vertex v%d, either id >= qh.vertex_id (%d) or v.visitid %u > qh.visit_id %u.  vertexlist terminated at previous vertex v%d
qhull internal error (qh_checkpolygon): f%d is 'visible' but it is not on qh.visible_list f%d
qh_matchdupridge: try good dupridge flipped new f%d skip %d into f%d skip %d at dist %2.2g otherdist %2.2g

 neighbors:qh_triangulate_null: delete null facet f%d
qh_newridge: created ridge r%d
  maximum merges for a facet (at most 511) ave. coplanar searchnull new facets deleted (duplicated vertex)ERRONEOUSOptions selected for Qhull %s:
%s
 instance to C++ rvalue: instance has multiple references (#define PYBIND11_DETAILED_ERROR_MESSAGES or compile in debug mode for details)get_internals: get_pp() returned nullptrpybind11::detail::atomic_get_or_create_in_state_dict() FAILEDFATAL: function_record_PyTypeObject reduce_ex_impl(): cannot obtain cpp_func_rec.Could not open devnullGcentrumsQGood-if-see-pointQwarn-allow_pre-merge_max-widthqhull input error (qh_printafacet): option 'Fp' needs qh->feasible_point
4OFF %d %d 1
end
,[For post-mergingqhull input error: %d attempts to construct a convex hull with joggled input.  Increase joggle above 'QJ%2.2g' or modify qh_JOGGLE... parameters in user_r.h
qh_partitionvisible: partition outside and coplanar points of visible and merged facets f%d into new facets f%d
  Number of%s non-simplicial intersection points: %d
qh_getpinchedmerges: dupridge (MRGdupridge) of coplanar horizon would produce a wide merge (%.0fx) due to pinched vertices v%d and v%d (dist %2.2g) for f%d and f%d.  qh_mergecycle_all will merge one or both facets
qh_getpinchedmerges: will merge pinched v%d into v%d to resolve dupridge between f%d and f%d
MERGINGqh_neighbor_vertices: %d non-subridge, vertex neighbors for v%d
qh_rename_adjacentvertex: partition old p%d(v%d) as a coplanar point for furthest f%d dist %2.2g.  Maybe repartition later (QH0031)
qh_test_redundant_neighbors: f%d is contained in f%d.  merge
qh_test_vneighbors: found %d non-convex, vertex neighbors
vertices for rqhull precision error: facet f%d is flipped, distance= %6.12g
qh.facet_qh_matchdupridge: allow tricoplanar dupridge for new f%d skip %d and f%d skip %d
qh_triangulate: all tricoplanar facets degenerate for last non-simplicial facet f%d
ave. distance of a new vertex to a facetdegenerate hyperplanes recomputed with gaussian eliminationcalls to findbestnewangle tests for repartitioned coplanar pointsdistance tests for checking good pointdistance tests for computing furthestaverage number of tests to match a ridgemerge iterationscycles of facets merged into coplanar horizoncoplanar/concave merges due to avoiding old mergeretry qh_addpoint after merge pinched vertex  max. merge pinched vertex for a qh_addpoint %6.2g max. cosine for post-merge angle
qhull%s FACET:

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.
. *, Could not allocate tuple object!functionException escaped from default exception translator!x and y arrays must consist of at least 3 unique pointsqhull option warning: missing dimension for option 'GDn'
PFacet-area-keepQ4-avoid-old-into-newQ8-no-near-insideqhull option warning: missing count of added points for trace option 'TAn'
qhull internal error (qh_initqhull_globals): if qh.VORONOI is set, qh.DELAUNAY must be set.  Qhull constructs the Delaunay triangulation in order to compute the Voronoi diagram
Fverticesqhull option warning: dimension %d for Print option 'P%c' is >= %d.  Ignored
 %2.2gqhull option error: the joggle for 'QJn', %.2g, is below roundoff for distance computations, %.2g
qhull internal error (qh_projectinput): dimension after projection %d != hull_dim %d
qh_sharpnewfacets: %d
 testhorizon? %d, noupper? %d,qhull internal error (qh_produce_output): temporary sets not empty(%d)
,
    - outside set:# intersect f%d f%d
%d %d %d qh_buildtracing: start trace T%d for point TP%d above facet f%d
  Number of%s Delaunay regions: %d

Halfspace intersection by the convex hull of %d points in %d-d:

  Number of distance tests for checking: %d
qhull internal error (qh_memcheck): totfree %d not equal to freelist total %d
qhull internal error (qh_appendmergeset): expecting temp set defined for qh.facet_mergeset (0x%x) and qh.degen_mergeset (0x%x).  Got NULL
qhull internal error (qh_findbest_pinchedvertex): expecting subridge of qh.hull_dim-2 vertices for the intersection of new facets f%d and f%d minus their apex.  Got %d vertices
qhull precision warning (qh_getpinchedmerges): pinched vertices v%d and v%d (dist %2.2g, %.0fx) would produce a wide merge for f%d and f%d.  Will merge dupridge instead
qh_mergefacet: #%d merge f%d into f%d for merge for mergetype %d (%s), mindist= %2.2g, maxdist= %2.2g, max_outside %2.2g
TRACEqhull topology error (qh_next_vertexmerge): no nearly adjacent vertices to resolve duplicate ridges r%d and r%d.  Nearest v%d and v%d dist %2.2g (%.1fx)
qh_remove_extravertices: v%d deleted because it's lost all ridges
Qhull precision error (qh_check_maxout): a facet merge, vertex merge, vertex, or coplanar point produced a wide facet %2.2g (%.1fx). Trace with option 'TWn' to identify the merge.   Allow with 'Q12' (allow-wide)
qh_check_points: check all points below %2.2g of all facet planes
qhull internal error (qh_checkfacet): expecting f%d.visitid <= qh.visit_id (%d).  Got visitid %d
qhull internal error (qh_checkfacet): ridge between f%d and f%d has %d vertices
qhull internal error (qh_checklists): f%d already in facetlist causing an infinite loop ... f%d > f%d ... > f%d > f%d.  Truncate facetlist at f%d
qh_initialhull: initial orientation incorrect, qh.interior_point is %2.2g from f%d.  Either axis-parallel facet or coplanar firstfacet f%d.  Force outside orientation of all facets
qhull error: 2^32 or more vertices.  vertexT.id field overflows.  Vertices would not be sorted correctly.
a ridge with more than two neighborsqh_update_vertexneighbors: delete %d of %d vertex neighbors for v%d.  Removes to-be-deleted, visible facets
qhull internal error (qh_settemppop): pop from empty temporary stack
zero divisors during gaussian eliminationaverage new facet balancepoints ignored (!above a good facet)good facets foundinside pointsdistance tests for checking flipped facetscoplanar angles in getmergesetnew facets merged into horizonnon-simplicial facets triangulatedLast point added to hull was p%d.qhull internal error (qh_errexit): either error while reporting error QH%d, or qh.NOerrexit not cleared after setjmp(). Exit program with error status %d
 called while Python error indicator not set.Overloaded function.

, /UNEXPECTED CALL OF function_record_PyTypeObject_methods::tp_free_impl__pybind11_internals_v11_system_libcpp_abi1___call_once_storage__GinnerPgood-facetsTannotate-outputTcheck-frequentlyqhull option error: can not use infinity-point('Qz') with upper-Delaunay('Qu')
Qcoplanarqh_detjoggle: joggle=%2.2g maxwidth=%2.2g
qh_projectpoints: projected %d points from dim %d to dim %d
qh_sethyperplane_det: degenerate norm during p%d, use qh_sethyperplane_gauss instead.
%s | %s
begin
%d %d real
 upperDelaunay  Furthest MERGEridgeqhull internal error (qh_qhull): temporary sets not empty(%d) at end of Qhull
similar and redundantqh_mem %p n %8d free long: %d bytes (tot %d cnt %d)
coplanarhorizonqh_find_newvertex: find new vertex for v%d from qhull internal error (qh_findbestneighbor): no neighbors for f%d
qh_merge_pinchedvertices: merge %d pinched vertices from dupridges in merged facets, apex p%d
qh_mergecycle_all: merge new facets into coplanar horizon facets.  Bulk merge a cycle of facets with the same horizon facet
qh_mergevertex_del: deleted v%d when merging f%d into f%d
qh_renamevertex: ignore duplicate check for r%d.  top f%d (size %d) will be degenerate after rename v%d to v%d
qh_check_maxout: determine actual maxoutside
qhull precision error: f%d is coplanar to f%d, since p%d(v%d) is within %6.4g of f%d, during p%d
qhull internal error (qh_checklists): expecting v%d.previous == v%d.  Got v%d
qhull internal error (qh_delvertex): vertex v%d was deleted but it was not partitioned as a coplanar point
Qhull precision error: initial Delaunay input sites are cocircular or cospherical.  Use option 'Qz' for the Delaunay triangulation or Voronoi diagram of cocircular/cospherical points; it adds a point "at infinity".  Alternatively use option 'QJ' to joggle the input.  Use option 'Qs' to search all points for the initial simplex.
qhull internal error (qh_triangulate): ridges still defined for f%d
qh_update_vertexneighbors: will delete interior vertex p%d(v%d) of visible f%d
distance tests to report minimum vertex max. facets tested new bestfacets during qh_findbesthorizon  maximumTriangulation statistics ('Qt')%s OTHER FACET:
):]: pybind11::detail::get_python_state_dict() FAILEDUNEXPECTED CALL OF function_record_PyTypeObject_methods::tp_new_implpybind11::detail::get_type_info: type has multiple pybind11-registered basesCould not allocate dict object!module spec is missing a nameqhull input warning: no maximum cosine angle given for option 'An'.  A1.0 is coplanar
qhull option warning: missing outside width for option 'Wn'
Qgood-facets-onlyqhull option warning: missing number of test points for option 'QTn'
Q3-no-merge-verticesqhull option warning: can not follow '1', '2', or '3' with a digit.  'Q%c%c' skipped
qhull option error: can not use Delaunay('d') or Voronoi('v') with halfspace intersection('H')
qh_initqhull_globals: initialize globals.  input_dim %d, numpoints %d, malloc? %d, projected %d to hull_dim %d
qh_getarea: computing area for each facet and its volume to qh.interior_point (dist*area/dim)
qhull input error: %d'th dimension's new bounds [%2.2g, %2.2g] too wide for
existing bounds [%2.2g, %2.2g]
qh_findbest: point p%d starting at f%d isnewfacets? %d, unless %d exit if > %2.2g,qh_findbestnew: point p%d facet f%d. Stop? %d if dist > %2.2g,qh_getcentrum: for f%d, %d vertices dist= %2.2g
qh_setfacetplane: facet f%d created.
qh_markkeep: only keep %d largest and/or %d most merged facets and/or min area %.2g
%s dupridge%8.4g %8.4g %8.4g # %8.4g %8.4g %8.4g 1
empty horizonqh_partitionvisible: partition %d deleted vertices as coplanar? %d points into new facets f%d

Statistics for: %s | %sqh_memcheck: check size of freelists on qh->qhmem
qh_memcheck: A segmentation fault indicates an overwrite of qh->qhmem
qh_postmerge: postmerge.  test vneighbors? %d
r%d  f%dqh_mergefacet: check f%d and f%d for redundant and degenerate neighbors
qh_mergesimplex: merge apex v%d of f%d into facet f%d
qh_reducevertices: renamed %d shared vertices and %d redundant vertices. Degen? %d
qh_test_centrum_merge: concave f%d to f%d, dist %4.4g and reverse dist %4.4g, angle %4.4g during p%d
qhull internal error (qh_checkfacet): facet f%d is on qh.visible_list
qhull internal error (qh_checkfacet): degenerate facet f%d is not on qh.visible_list and qh.degen_mergeset is empty
vertices for fqhull 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_checklists): qh.visible_list f%d is not on qh.facet_list f%d
qhull internal error (qh_checkpolygon): facet f%d occurs twice in neighbors of vertex v%d
qhull internal error (qh_facet3vertex): only %d vertices for simplicial facet f%d
qh_initbuild: create sentinels for qh.facet_tail and qh.vertex_tail
qh_initialhull: ignore f%d flipped.  Test qh.interior_point (p-2) for clearly flipped
qhull internal error (qh_matchdupridge): no MERGEridge match for dupridge new f%d skip %d at hash %d..%d
qhull internal error (qh_matchdupridge): no maximum or good match for dupridge new f%d skip %d at hash %d..%d
qh_triangulate: triangulate non-simplicial facets
min. denominator in hyperplane computationcoplanar half ridges in outputaverage number of neighbors per facetcalls to findbestdistance tests for statisticsfor vertices and their neighbor sets
Qhull has started post-merging.%s RIDGE:

The min and max coordinates for each dimension are:

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.
Could not allocate string object!UNEXPECTED CALL OF function_record_PyTypeObject_methods::tp_init_impl__name__Fpoint-intersectFtrianglesPGood-facet-neighborsTV-stop-after-point  %sqh_distround: increase roundoff by random delta %2.2g for option 'R%2.2g'
qh_facetarea_simplex: area=%2.2g for point p%d, toporient %d, nearzero? %d
qh_findbestnew: bestfacet f%d bestdist %2.2g for p%d f%d bestoutside? %d 
qh_getangle: %4.4g
qhull error: filename is more than %d characters, %s
{appearance {-normal -edge normscale 0} {%16.8f, %16.8f, %16.8f} simplicial    - maxoutside: %10.7g
%8.4g 0 0 0 # v%d
 0 %8.4g 0 0
0 0 %8.4g 0
coplanar horizon
Voronoi diagram by the convex hull of %d points in %d-d:

  Number of intersection points: %d
  Number of 'good' facets: %d
  Number of distance tests for merging: %d
qhull internal error (qh_memcheck): either qh->qhmem is overwritten or qh->qhmem is not initialized.  Call qh_meminit or qh_new_qhull before calling qh_mem routines.  ferr 0x%x, IsTracing %d, ALIGNmask 0x%x
coplanarmirrorqh_find_newvertex: found v%d for old v%d from %d vertices and %d ridges.
qh_forcedmerges: merged %d facets, %d flipped facets, and %d degenredundant facets across dupridges
qh_maybe_duplicateridges: will merge v%d into v%d (dist %2.2g) due to duplicate ridges with the same vertices r%d/r%d in merged facet f%d
qh_merge_pinchedvertices: merge f%d into f%d mergeType %d
qh_test_nonsimplicial_merge: twisted concave f%d v%d to f%d v%d, dist %4.4g and reverse dist %4.4g, angle %4.4g during p%d
good qhull input warning: exact merge ('Qx').  Verify may report that a point is outside of a facet.  See qh-optq.htm#Qx
qh_checkconvex: starting with f%d, also check that centrums of non-simplicial ridges are below their neighbors (dist<0.0)
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, neighbor f%d of ridge r%d not in facet
qhull topology error (qh_checkfacet): vertex v%d in f%d intersect f%d but not in a ridge.  Last point was p%d
qhull internal error (qh_checklists): qh.facet_next f%d for qh_addpoint is not on qh.facet_list f%d
qhull internal error: qh_checklists failed in qh_checkpolygon
qh_initialhull: simplex constructed
qhull topology error (qh_matchdupridge): missing qh_DUPLICATEridge at f%d skip %d for new f%d skip %d hash %d ismatch %d.  Set by qh_matchneighbor

     qh_resetlists: reset newvertex_list v%d, newfacet_list f%d, visible_list f%d, facet_list f%d next f%d vertex_list v%d -- NEWfacets? %d, NEWtentative? %d, stats? %d
qh_triangulate_link: relink neighbors f%d and f%d of null facet f%d
qh_update_vertexneighbors: delete old vertices for qh.visible_list (f%d)
nearly singular or axis-parallel hyperplanespoints processedstatistics for matching ridges  max. facetsvertices deleted by degenerate facetbounded ridges with ok normalbounded ridges with near-zero normal
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
<MESSAGE UNAVAILABLE DUE TO ANOTHER EXCEPTION>
__notes__ (len=Unable to cast Python instance of type Unexpected PyByteArray_AsString() failure.make_default_metaclass(): failure in PyType_Ready()! = ; versionGridgesqhull option warning: unknown 'G' geomview option 'G%c', skip to next space
Poutput-forcedQbbound-lastqhull option warning: negative point id for trace option 'TPn'.  Expecting 'TP-1' for tracing after qh_buildhull and qh_postmerge
qhull option error: option 'Ft' is not available for Voronoi vertices ('v') or halfspace intersection ('H')
qhull output warning: ignoring coplanar points, option 'Qc' was not set for the first run of qhull.
qhull input error: feasible point is not clearly inside halfspace
feasible point: qh_findbesthorizon: test neighbors of f%d bestdist %2.2g f%d ischeckmax? %d noupper? %d minsearch %2.2g is_5x? %d searchdist %2.2g
qh_eachvoronoi: Voronoi ridge of %d vertices between sites %d and %d
Vertices and facets:
{ OFF %d 1 1 # f%d
 tricoplanar keepcentrum flipped}}}
qhull internal error (qh_buildhull): new vertex f%d in vertex list
qh_findhorizon: find horizon for point p%d facet f%d
qh_mem %p n %8d alloc long: %d bytes (tot %d cnt %d)
qh_appendvertexmerge: append merge v%d into v%d r%d r%d dist %2.2g type %d (%s)
- A bounding box for the input sites may alleviate this error.
qh_delridge_merge: drop merge of v%d into v%d (dist %2.2g r%d r%d) due to deleted, duplicated ridge r%d
qhull internal error (qh_findbest_pinchedvertex): expecting merge of adjacent, simplicial new facets.  f%d or f%d is not simplicial
qh_maydropneighbor: test f%d for no ridges to a neighbor
qh_merge_pinchedvertices: merge one of %d pinched vertices before adding apex p%d.  Try to resolve duplicate ridges in newfacets
qh_mergecycle: end of trace facet
qh_mergecycle_ridges: found %d old ridges and %d new ones
qh_mergefacet: end of wide tracing
qhull internal error (qh_mergevertices): facets did not share a ridge
qhull precision error: point p%d is outside facet f%d, distance= %6.8g maxoutside= %6.8g nearest vertices %2.2g

Output completed.  Verifying that all points are below %2.2g of
all %sfacets.  Will make %2.0f distance computations.
qhull internal error (qh_checklists): v%d already in vertexlist causing an infinite loop ... v%d > v%d ... > v%d > v%d.  Truncate vertexlist at v%d
qhull internal error (qh_checkpolygon): f%d is 'newfacet' but it is not on qh.newfacet_list f%d or visible_list f%d
qhull internal error (qh_checkpolygon): unknown point %p for vertex v%d first_point %p
qhull internal error (qh_checkvertex): neighbor f%d does not contain v%d
qhull internal error (qh_facet3vertex): ridges for facet %d don't match up.  got at least %d
qh_matchdupridge: make forced merge of dupridge for new f%d skip %d and f%d skip %d, maxdist %4.4g in qh_forcedmerges
qhull error (qh_newhashtable): negative request (%d) or size (%d).  Did int overflow due to high-D?
qh_triangulate: and replace facet->f.triowner with tricoplanar facets that own center, normal, etc.
qh_checkflipped: facet f%d flipped, allerror? %d, distance= %6.12g during p%d
qhull internal error (qh_settempfree): set %p(size %d) was not last temporary allocated(depth %d, set %p, size %d)
dupridges with flip facet into good neighborave. visible vertices per iterationave. horizon facets per iterationave. new or merged facets per iterationdifference in max_outside at final checktotal number of distance testspartitions of coplanar points or deleted vertices  max. number of ridges per tested vertex %6.2g max. distance for near-inside points
Internal error: pybind11::detail::error_fetch_and_normalize::restore() called a second time. ORIGINAL ERROR: <EMPTY MESSAGE>Internal error: Internal error while parsing type signature (1)xError in qhull Delaunay triangulation calculation: {} (exitcode={})array is not writeableqhull internal error (qh_initflags): qh.NOerrexit was not cleared before calling qh_initflags().  It should be cleared after setjmp().  Exit qhull.
delaunayFd-cdd-inPDrop-facets-dim-moreqhull option warning: qh.fout was not set by caller of qh_initflags.  Cannot use option 'TO' to redirect output.  Ignoring option 'TO'
qhull option warning: missing space after option '%c'(%x), reserved for sub-options, ignoring '%c' options to next space
qhull error: insufficient memory to copy %d points
qh_findgooddist: p%d is %2.2g above good facet f%d
qh_projectinput: updating lower and upper_bound
qh_projectinput: projected points to paraboloid for Delaunay
qh_sethyperplane_gauss: nearly singular or axis parallel hyperplane during p%d.
    - furthest distance= %2.2g
    - coplanar set(furthest p%d):
%d 1

Testing all coplanar points.
DISTANTqh_partitioncoplanar: point p%d is coplanar with facet f%d (or inside) dist %2.2g
qhull error (qh_memsetup): largest mem size %d is >= buffer size %d or initial buffer size %d
reasonqhull internal error (qh_appendvertexmerge): expecting temp set defined for qh.vertex_mergeset (0x%x).  Got NULL
qhull internal error (qh_mergecycle_all): f%d without normal
qh_mergecycle_vneighbors: update vertex neighbors for newfacet
qhull precision error (qh_mergefacet): wide merge for facet f%d into f%d for mergetype %d (%s).  maxdist %2.2g (%.1fx) mindist %2.2g (%.1fx) vertexdist %2.2g  Allow with 'Q12' (allow-wide)
qh_next_vertexmerge: drop merge of v%d (del? %d) into v%d (del? %d) due to deleted vertex of r%d and r%d
qh_redundant_vertex: check if v%d from a deleted ridge can be renamed
Qhull precision error (qh_check_maxout): large increase in qh.min_vertex during post-processing dist %2.2g (%.1fx).  See warning QH7083.  Allow with 'Q12' (allow-wide) and 'Pp'
non-convex initial simplexoutsideset for fqhull internal error (qh_checkvertex): expecting v%d.visitid <= qh.vertex_visit (%d).  Got visitid %d
qh_furthestout: p%d is furthest outside point of f%d
qh_initialhull: initial orientation incorrect, qh.interior_point is %2.2g from f%d.  Reversing orientation of all facets
_narrow-hullqh_matchdupridge: find dupridge matches for f%d skip %d hash %d hashcount %d
qh_prependfacet: prepend f%d before f%d
 %dqh_triangulate: delete visible facets -- non-simplicial, null, and mirrored facets
qh_makenewplanes: make new hyperplanes for facets on qh.newfacet_list f%d
qhull topology error: facets f%d, f%d and f%d meet at a ridge with more than 2 neighbors.  Can not continue due to no qh.PREmerge and no 'Qx' (MERGEexact)
qhull internal error (qh_setzero): index %d or size %d out of bounds for set:
total area of facetspoints ignored (didn't create a good new facet) calls due to qh_sharpnewfacets  inside points that were coplanar with a facetdistance tests for checking convexity  ave. additional non-convex ridges per iterationnew facets merged into coplanar horizon %6.2g radius of pre-merge centrum
 *0 cnt*printfacetlist: end
__init__Computing Delaunay triangulations.
normalsqhull input warning: no centrum radius given for option 'Cn'
qhull option warning: missing coplanar distance for option 'Un'
Qinterior-keepQ14-merge-pinched-verticesTFacet-logTA-stop-addqhull option error: Mathematica and Maple output is only available for 2-d and 3-d convex hulls and 2-d Delaunay triangulations
qhull option warning: coplanars, vertices, and centrums output not available for 4-d output(ignored).  Could use 'GDn' instead.
qh_option: option would overflow qh.qhull_options. Truncated '%s'
qh_furthestvertex: all vertices of f%d are in f%d.  Returning 0.0 for max and mindist
qhull input error (qh_joggleinput): the current joggle for 'QJn', %.2g, is too large for the width
of the input.  If possible, recompile Qhull with higher-precision reals.
qhull internal error (qh_projectinput): HALFspace defined without qh.feasible_point
qhull input error: 'Qb%d' or 'QB%d' inverts paraboloid since high bound %.2g < low bound %.2g
Matrix:qh_gausselem: resultqh_setfacetplane: ====== vertex p%d(v%d) increases max_outside to %2.2g for new facet f%d last p%d
qh_order_vertexneighbors: order facet neighbors of v%d by 2-d (orientation), 3-d (adjacency), or n-d (f.visitid,id)
 0
    - area: %2.2g
     OFF 3 1 1 VECT 1 2 1 2 1
  Number of Voronoi regions%s: %d
  Number of points processed: %d
Totalqhull internal error: cannot call qh_findbestneighor for f%d while qh.CENTERtype is qh_ASvoronoi
qh_getmergeset_initial: %d merges found
qhull topological error (qh_mark_dupridges): multiple dupridges for f%d and f%d, including reverse
MERGING CYCLEqhull internal error (qh_test_degen_neighbors): facet f%d has deleted neighbor f%d (qh.visible_list)
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.
qhull internal error (qh_checkfacet): unknown facet id f%d >= qh.facet_id (%d)
qhull internal error (qh_checkfacet): ridges r%d and r%d (f%d) have the same vertices
visibleqhull internal error (qh_checklists): new vertex list v%d is not on vertex list
neighbors for vqh_nearvertex: v%d dist %2.2g for f%d p%d
  minimum facet areadistance tests for outputdistance tests for best mergemerges due to angle coplanar facetsstatistics for vertex mergesmerge pinched vertices for a duplicate ridgerenamed vertices in a pinched facet
A Qhull internal error has occurred.  Please send the input and output to
qhull_bug@qhull.org. If you can duplicate the error with logging ('T4z'), please
include the log file.
center pointbackslashreplace
FAILURE formatting __notes__[[WITH __notes__]__init__(self, ...) called with invalid or missing `self` argument<repr raised Error>loader_life_support: internal errorqh_freebuild: free memory from qh_inithull and qh_buildhull
Angle-premerge-FouterGintersectionsqhull option warning: missing point id for cone for trace option 'TCn'
Trace-mergecomputing area of each facet and volume of the convex hull
  Last point added to hull was p%d. seen2 mergehorizon    - coplanar set: r%d  neighbors: 0 # infinity not used
  Number of distance tests for qhull: %d
  freelists(bytes->count):qh_appendmergeset: append merge f%d and f%d type %d (%s) to qh.degen_mergeset (size %d)
not concave, flipped, or dupridgeqh_degen_redundant_facet: f%d is degenerate.
qh_mark_dupridges: found %d duplicated ridges (MRGdupridge) for qh_premerge.  Prepare facets for merging
qh_maybe_duplicateridges: will merge v%d into v%d (dist %2.2g) due to opposite oriented ridges r%d/r%d for f%d and f%d
qh_maydropneighbor: facets f%d and f%d are no longer neighbors while adding furthest p%d
qh_merge_degenredundant: facet f%d has no neighbors.  Deleted
qhull internal error (qh_next_vertexmerge): expecting two vertices for vertex merge.  Got v%d v%d and optional f%d
qh_check_maxout: check and update qh.min_vertex %2.2g and qh.max_outside %2.2g
qh_check_maxout: determine actual minvertex
qh_check_maxout: p%d(v%d) is %.2g from f%d nearest vertices %2.2g

A flipped facet occurs when its distance to the interior point is
greater than or equal to %2.2g, the maximum roundoff error.
qhull internal error (qh_checkpolygon): facet f%d is a neighbor of vertex v%d but v%d is not a vertex of f%d
qhull %s Statistics: %s | %s
qh_matchdupridge: duplicate ridge due to duplicate facets (f%d skip %d and f%d skip %d) previously reported as QH7084.  Maximize dupdist to force vertex merge
retries due to precision problems  countdistance tests for partitioning  detected by qh_test_nonsimplicial_merge instead of qh_test_redundant_neighbors
Qhull has finished constructing the hull. distance= %4.2g

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'.
x and y arrays must have a length of at least 3qhull option error: expecting a positive number for outside width 'Wn'.  Got '%s'
FOptionsFQhullGtransparentQtriangulateQ5-no-check-outerQV-good-facets-pointqhull option warning: missing merge id for trace option 'TMn'
qh_initqhull_globals: for %s | %s
_one-mergeqh_maxouter: max distance from facet to outer plane is %4.4g, qh.max_outside is %4.4g
qhull internal error (qh_maxsimplex): not enough points available
qh_scalepoints: scaled %d'th coordinate [%2.2g, %2.2g] to [%.2g, %.2g] for %d points by %2.2g and shifted %2.2g
 Last qh_addpoint p%d, qh.visit_id %d, vertex_visit %d,qh_detvnorm: points %d %d Voronoi vertex %d dist %2.2g
qhull warning: output for ridges and intersections not implemented in 2-d
%8.4g %8.4g %8.4g 0
3 %d %d %d %8.4g %8.4g %8.4g 1 #r%d f%d f%d
]- f%d
    - shares same visible/horizon as f%d
10 %d %d %d %d %d %d %d %d %d %d
2  mergevertex2           vertices:qh_findhorizon: point p%d is coplanar to horizon f%d, dist=%2.7g < qh->MINvisible(%2.7g)
Qhull precision warning: repartition coplanar point p%d from f%d as an outside point above twisted facet f%d dist %2.2g nearest vertices %2.2g
qh_partitionpoint: point p%d is outside facet f%d newfacet? %d, newoutside? %d (or narrowhull)
  Number of merged pinched vertices: %d
qhull warning (qh_memsize): free list table has room for only %d sizes
twistedqh_degen_redundant_facet: f%d is flipped, will merge later
qh_rename_adjacentvertex: merge #%d rename v%d (%d neighbors) to v%d (%d neighbors) dist %2.2g
qhull internal error (qh_rename_adjacentvertex): expecting neighbor facets for v%d and v%d.  Got %d and %d neighbors resp.
qh_test_degen_neighbors: f%d is degenerate with %d neighbors.  Neighbor of f%d.
qh_check_bestdist: check that all points are within %2.2g of best facet
qhull precision error (qh_check_bestdist): point p%d is outside facet f%d, distance= %6.8g maxoutside= %6.8g
qh_checkconvex: check that facets are not-flipped and that their centrums are convex by qh.DISTround ('En', 'Rn') 
coplanarset for fqhull internal error (qh_checkfacet): facet f%d has deleted neighbor f%d (qh.visible_list)
qhull internal error (qh_checkfacet): facet f%d skip %d and neighbor f%d skip %d do not match 
qh_matchdupridge: make good forced merge of dupridge f%d skip %d into f%d skip %d, keep new f%d skip %d and f%d skip %d, dist %4.4g
qh_removevertex: remove v%d from qh.vertex_list
partitions of a pointcoplanar centrums or vertices in getmergesetvertices removed from facets due to no ridges %6.2g max. distance for merging two simplicial facets
 %6.2g max. roundoff error for arithmetic operations
 %6.2g min. denominator for division
  zero diagonal for Gauss: printfacetlist: vertices
cannot create a pybind11::array_t from a nullptrFsummaryGverticesError-roundoffVisible-distanceQJoggle           %3d % 14.8e % 14.8e % 14.8e  %4.4e  p%-9d p%-d

     halfspace: p%d dist %.2g, %2.2g qh_sethyperplane_gauss: singular or axis parallel hyperplane at normalization during p%d.
%d %d %d %6.16g 
{appearance {linewidth 3} LIST # %s | %s
{appearance {+edge -evert linewidth 2} LIST # %s | %s
%s | %s
begin
    %d %d real
%8.4g %8.4g %8.4g
%8.4g %8.4g %8.4g
 p%d: qh_joggle_restart: qhull restart because of %s
  Number of facets in hull: %d
qhull internal error (qh_memsize): qh_memsize called after qh_memsetup
subridgeqh_all_merges: starting to merge %d facet and %d degenerate merges for new facets f%d, othermerge? %d
qhull precision error (qh_merge_twisted): twisted facet f%d does not contain pinched vertices.  Too wide to merge into neighbor.  mindist %2.2g maxdist %2.2g vertexdist %2.2g maxpinched %2.2g neighbor f%d mindist %2.2g maxdist %2.2g
qh_mergecycle_vneighbors: deleted v%d when merging cycle f%d into f%d
qh_renameridgevertex: ridge r%d deleted.  It contained both v%d and v%d
qh_renamevertex: rename vertices in non-simplicial neighbor f%d of v%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): redundant facet f%d not on qh.visible_list
qhull internal error (qh_checkpolygon): missing vertex neighbors for v%d
qh_findbestlower: all neighbors of facet %d are flipped or upper Delaunay.  Search all facets

Trace level T%d, IStracing %d, point TP%d, merge TM%d, dist TW%2.2g, qh.tracefacet_id %d, traceridge_id %d, tracevertex_id %d, last qh.RERUN %d, %s | %s
initial Delaunay cocircular or cosphericalqh_makenewfacets: created %d new facets f%d..f%d from point p%d to horizon
qh_outcoplanar: move outsideset to coplanarset for qh->NARROWhull
qh_attachnewfacets: clear f.ridges and f.neighbors for visible facets, may become invalid before qh_deletevisible
qhull internal error (qh_matchnewfacets): expecting simplicial facets on qh.newfacet_list f%d for qh_matchneighbors, qh_matchneighbor, and qh_matchdupridge.  Got non-simplicial f%d
coplanar points during partitioningfacets before post mergeave. visible facets per iteration  ave. facets deleted per iteration ave. facets tested  repartitioned coplanar points above a corner facetrename failures due to duplicated ridgesvertex intersections for locating redundant vertices %6.2g max. cosine for pre-merge angle

Unable to cast Python kwargs: pybind11_object_dealloc(): Tried to deallocate unregistered instance!NumpyVersionQhull could not free all allocated memoryqh_freebuffers: finished
Centrum-premerge-Halfspace-aboutFMapleQcoplanar-keepQ11-trinormals QtriangulateQ15-check-duplicatesCentrum-premerge-with-randomCentrum-postmerge-with-randomU-max-coplanar%6.3g %d1 }}}
 coplanarhorizon    - neighboring facets: nonconvexQhull: algorithm completed
interiorqhull error (qh_meminit): insufficient memory
noneqhull internal error (qh_degen_redundant_facet): facet f%d has deleted neighbor f%d (qh.visible_list)
qh_findbest_pinchedvertex: best pinched p%d(v%d) and vertex p%d(v%d) are closest (%2.2g) for duplicate subridge between f%d and f%d
qh_getpinchedmerges: try to merge pinched vertices for dupridges in new facets with apex p%d(v%d) max dupdist %2.2g
qh_maydropneighbors: f%d is degenerate.
qhull internal error (qh_merge_degenredunant): f%d is redundant but visible f%d has no replacement
qhull internal error (qh_mergecycle_ridges): bad ridge r%d
qh_mergefacet2d: merged v%d and neighbor f%d of f%d into f%d
qhull topology error (qh_next_vertexmerge): no nearly adjacent vertices to resolve opposite oriented ridges r%d and r%d in f%d and f%d.  Nearest v%d and v%d dist %2.2g (%.1fx)
qh_remove_extravertices: test non-simplicial f%d for extra vertices
qhull internal error (qh_renameridgevertex): oldvertex v%d not found in r%d.  Cannot rename to v%d
qhull internal error (qh_willdelete): expecting qh.visible_list at before qh.newfacet_list f%d.   Got NULL
qhull internal error (qh_checkpolygon): f%d has outside points before qh.facet_next f%d
qhull internal error (qh_checkpolygon): vertex neighbors inconsistent (tot_vneighbors %d != tot_facetvertices %d).  Maybe duplicate or missing vertex
qh_findfacet_all: p%d, noupper? %d, f%d, dist %2.2g, isoutside %d, totpart %d
qh_newvertex: vertex p%d(v%d) created
qh_triangulate: delete f%d.  All tricoplanar facets degenerate for non-simplicial facet
qh_appendfacet: append f%d to facet_list
qh_delfacet: delete f%d
qh_update_vertexneighbors_cone: deleted %d visible vertexneighbors of v%d
qh_update_vertexneighbors_cone: delete interior vertices for qh.visible_list (f%d)
qh_settemppush: depth %d temp set %p of %d elements
number of vertices in outputfacets created altogether  minimum cosine of facet normals (sharpest) across a ridgeresets of visit_idbest merges used centrum instead of verticesintersections found redundant verticesbounded ridges  max. angle to ridge  numpymajorformatinsufficient memoryqh_freeqhull: clear qhT except for qh.qhmem and qh.qhstat
qhull option error: expecting 'Hn,n,n,...' for feasible point of halfspace intersection. Got '%s'
qhull option warning: can only drop one dimension.  Previous 'GD%d' ignored
GDrop-dimPArea-keepQbound-dim-lowQ1-angle-mergeqhull option warning: no good point id given for option 'QVn'.  Ignored
qhull option warning: unknown 'Q' qhull option 'Q%c', skip to next space
rqhull option error: cannot open 'TI' file "%s"
Q3-no-merge-vertices-dim-highWidth-outside_wide-facetqh_maxmin: found the max and min points (by dim):center: Last qh_addpoint p%d,1 qhull warning: output for outer/inner planes and centrums not implemented in 4-d
qhull warning: no facets printed
));
VECT 1 2 1 2 1 # f%d
    - owner of normal & centrum is facet f%d
      furthest distance= %2.2g
 mergevertexnearly incident point (narrow hull)
Convex hull of %d points in %d-d:

  %s facet area:   %2.8g
qhull internal error (qh_appendmergeset): except for MRGdupridge, cannot merge a non-flipped facet f%d into flipped f%d, mergetype %d, dist %4.4g
qh_degen_redundant_facet: test facet f%d for degen/redundant
qh_forcedmerges: merge dupridges
qhull internal error (qh_merge_nonconvex): expecting mergetype MRGcoplanar..MRGconcavecoplanar.  Got merge f%d and f%d type %d
qh_mergesimplex: merge opposite v%d of f%d into facet f%d
qhull internal error (qh_rename_sharedvertex): v%d's neighbors not in f%d
qh_tracemerge: trace vertex deleted at furthest p%d
Qhull precision warning: in post-processing (qh_check_maxout) p%d for f%d is %2.2g above hidden facet f%d nearest vertices %2.2g
Qhull precision error (qh_check_maxout): a facet or vertex merge produced a wide facet: v%d below f%d distance %2.2g (%.1fx). Trace with option 'TWn' to identify the merge.  Allow with 'Q12' (allow-wide)
qhull precision error (qh_check_points): a coplanar point is %6.2g from convex hull.  The maximum value(qh.outside_err) is %6.2g
qhull precision error: f%d is flipped (interior point is outside)
coplanar ridgeqhull internal error (qh_checkfacet): f%d is 'dupridge' but it is not a newfacet on qh.newfacet_list f%d
qhull internal error (qh_checkfacet): deleted vertex v%d in f%d
qh_matchdupridge: try good dupridge flipped f%d skip %d into new f%d skip %d at dist %2.2g otherdist %2.2g
qh_update_vertexneighbors_cone: will delete interior vertex p%d(v%d) of visible f%d
qhull internal error (qh_setaddnth): nth %d is out-of-bounds for set:
average partition balance   distance tests for these partitionsstatistics for mergingmemory usage statistics (in bytes)for facets and their normals, neighbor and vertex sets

at error exit
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:

__pybind11_internals_v11_system_libcpp_abi1__vectorcpp_function::cpp_function(): Could not allocate instance method object
Invoked with: instance allocation failed: new instance has no pybind11-registered base typesqh_initflags: project dimension %d
Qmax-outside-onlyqhull option warning: good point already defined for option 'QGn'.  Ignored
qhull option warning: unknown option '%c'(%x)
qhull option warning: 'Q0-no-premerge' ignored due to exact merge ('Qx') or pre-merge ('C-n' or 'A-n')
qhull option warning: 'QJ' (joggle) will usually prevent coincident input sites for options 'Fc' and 'FP'
qhull option error: no output specified for Geomview
qhull option warning: no dimension given for Qhull option 'Q%c'
qh_detmaxoutside: MAXoutside %2.2g from qh.max_outside %2.2g, ONEmerge %2.2g, MINoutside %2.2g, DISTround %2.2g
qh_facetarea: f%d area %2.2g
qh_furthestvertex: v%d dist %2.2g is furthest (mindist %2.2g) of f%d above f%d
qhull internal error (qh_voronoi_center):  need at least %d points to construct a Voronoi center
qh_detvnorm: Voronoi vertex or midpoint    - outside set(furthest p%d):
    - coplanar set:  %d points.     - horizon ridge to visible facet
%6.16g %6.16g
 simplicialtop# %d f%d
qh_buildcone: created %d newfacets for p%d(v%d) new facet balance %2.2g
qh_buildhull: stop point or cone P%d in initial hull
qh_addpoint: add p%d(v%d) %2.2g above f%d to hull of %d facets, %d merges, %d outside at %4.4g CPU secs.  Previous p%d(v%d) delta %4.4g CPU, %d facets, %d merges, %d hyperplanes, %d distplanes, %d retries
qh_partitioncoplanar: point p%d is more than near-inside facet f%d dist %2.2g allnew? %d
qhull internal error (qh_partitionvisible): all new facets deleted or none defined.  Can not partition deleted v%d.
  Number of%s non-simplicial facets: %d
verticesqhull internal error (qh_freemergesets): expecting empty mergesets.  Got qh.facet_mergeset (%d merges), qh.degen_mergeset (%d merges), qh.vertex_mergeset (%d merges)
qhull internal error (qh_maydropneighbor): not valid for simplicial neighbor f%d of f%d while adding furthest p%d
qh_merge_pinchedvertices: merge degenerate f%d into an adjacent facet
qh_mergecycle_neighbors: delete shared neighbors from newfacet
qh_mergecycle_neighbors: deleted %d neighbors and added %d
qh_neighbor_intersections: %d vertices in neighbor intersection of v%d
qh_test_centrum_merge: coplanar f%d to f%d dist %4.4g, reverse dist %4.4g angle %4.4g
qh_test_vneighbors: testing vertex neighbors for convexity
Qhull precision error (qh_check_maxout): large increase in qh.max_outside during post-processing dist %2.2g (%.1fx).  See warning QH0032/QH0033.  Allow with 'Q12' (allow-wide) and 'Pp'

Output completed.  Verifying that all points are below outer planes of
all %sfacets.  Will make %2.0f distance computations.
qh_checkconvex: check that facets are not-flipped and that simplicial vertices are convex by qh.DISTround ('En', 'Rn')
qhull internal error (qh_checkfacet): f%d is 'newmerge' but it is not a newfacet on qh.newfacet_list f%d.  Missing call to qh_reducevertices
neighbors for fqhull internal error (qh_checkfacet): for facet f%d, #vertices %d or #neighbors %d < qh->hull_dim
qh_checkfacet: vertex v%d in f%d intersect f%d but not in a ridge.  Repaired by qh_remove_extravertices in qh_reducevertices
qhull internal error (qh_checklists): expecting f%d.previous == f%d.  Got f%d
qhull internal error (qh_checkpolygon): actual number of facets is %d, cumulative facet count is %d - %d visible facets
qhull internal error (qh_checkvertex): unknown point id %p
qh_findgood: found %d good facets with %d good horizon and qh.GOODclosest f%d
qh_attachnewfacets: delete interior ridges
qhull topology error (qh_matchneighbor): matchfacet f%d is in f%d neighbors but not vice versa.  Can not continue.
build hull statistics    maximumdeterminants for facet areacalls to findbestlowertotal lookups for matching ridges of new facetsmax distance of vertex below facet (or roundoff)merged a simplexmerges due to dupridgesmerge pinched vertices for a dupridge  facets deleted because of no neighbors  ave. angle to ridge
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.
Could not allocate weak reference!: No constructor defined!namemultiarrayx and y must be 1D arrays of the same lengthincidenceTRerunqhull topology error (qh_findbestnew): merging has formed and deleted a cone of new facets.  Can not continue.
qh_setfacetplane: flipped orientation due to nearzero gauss and interior_point test.  During p%d
qhull warning: 'Gnh' generates no output in 4-d
PLOT3D(POLYGONS(
%8.4g     - outside set:  %d points.p%d(coplanar facets)
qhull internal error (qh_printvdiagram): unknown print format %d.
qhull internal error (qh_findhorizon): does not work for tricoplanar facets.  Use option 'Q11'
qhull internal error (qh_memcheck): qh is 0.  It does not point to a qhT
qhull error (qh_memsetup): insufficient memory
degenqh_all_merges: merged %d coplanar %d concave %d concavecoplanar %d twisted facets and %d degen or redundant facets.
qhull internal error (qh_flippedmerges): facet_mergeset (%d merges) not at top of tempstack (%d merges)
qh_getpinchedmerges: will make the apex a coplanar point.  apex p%d(v%d) is the nearest vertex to v%d on dupridge.  Dist %2.2g
qh_getpinchedmerges: will merge new facets to resolve dupridge between f%d and f%d with pinched v%d and v%d
    Option 'Qx' may avoid this problem.
qhull warning (qh_check_points): missing normal for facet f%d
qhull warning: good vertex p%d does not match last good facet f%d.  Ignored.
initial simplex is flatqhull internal error (qh_triangulate_link): neighbors f%d and f%d do not match for null facet or mirrored facets f%d and f%d
qh_removefacet: removed f%d from facet_list, newfacet_list, and visible_list
qh_update_vertexneighbors_cone: update v.neighbors for qh.newvertex_list (v%d) and qh.newfacet_list (f%d)
qhull internal error (qh_setnew_delnthsorted): nth %d is out-of-bounds for set:
 %p  resets of vertex_visit  found new vertex in ridge[QH%.4d]
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)
basic_string!@%{}-    thread_specific_storage constructor: could not initialize the TSS key!PyType_Ready failed in make_object_base_type(): qhull d Qt Qbb Qc QzsummaryvoronoiFFacets-xridgeGno-planesPMerge-keepQfurthest-outsideQRandom-seedTz-stdoutTCone-stopTOutput-fileqhull option warning: missing point id or -1 for trace option 'TPn'
TWide-trace_zero-centrumqh_initqhull_globals: disable qh.MERGEpinched for 2-d.  It has no effectqhull option error: transparent Delaunay('Gt') needs 3-d Delaunay('d') w/o 'GDn'
Angle-premerge-with-random_near-insideqh_sethalfspace: halfspace at offset %6.2g to point: qhull warning: output for vertices not implemented in 4-d
 mergeridge1qhull warning: CDD format is not available for centrums, halfspace
intersections, and OFF file format.
 deleted
Early exit due to 'TAn', 'TVn', 'TCn', 'TRn', or precision error with 'QJn'.  Percentage of runs with precision errors: %4.1f

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)
qh_appendmergeset: f%d is already degenerate.  Ignore merge f%d type %d (MRGdegen)
- Experimental option merge-pinched-vertices ('Q14') may avoid this error.  It merges nearly adjacent vertices.
qh_findbestneighbor: f%d is best neighbor for f%d testcentrum? %d nonconvex? %d dist %2.2g min %2.2g max %2.2g
qhull internal error (qh_forcedmerges): qh_settemppop (size %d) is not qh->facet_mergeset (size %d)
qh_makeridges: make ridges for f%d
qh_merge_nonconvex: avoid merging old facet f%d dist %2.2g.  Use f%d dist %2.2g instead
qh_mergesimplex: update vertex neighbors of f%d
qh_mergesimplex: merged simplex f%d v%d into facet f%d
MERGEDqhull input warning: merging without checking outer planes('Q5' or 'Po').  Verify may report that a point is outside of a facet.
qhull internal error (qh_checkfacet): facet f%d has neighbor f%d, but f%d does not have neighbor f%d
newfacetqhull warning: point p%d is a vertex for every facet('QV-%d').
ridge with multiple neighborsqh_update_vertexneighbors_cone: delete interior vertices, if any, for qh.visible_list (f%d)
dupridges with multiple neighborsnumber of facets in outputnumber of non-simplicial facets in outputdistance tests for facet visibilitytotal number of facets or cycles of facets mergedmerges due to coplanar facets %s
qhull internal error (userprintf_r.c): fp is 0.  Wrong qh_fprintf was called.
_maxoutside p%d3.14Internal error while parsing type signature (2)__import__('importlib').import_module('pybind11::detail::instance::get_value_and_holder: type is not a pybind11 base of the given instance (#define PYBIND11_DETAILED_ERROR_MESSAGES or compile in debug mode for type details)yarg(): cannot specify an unnamed argument after a kw_only() annotation or args() argumentGpointsQ2-no-merge-independent           last coordinate scaled to (%4.4g, %4.4g), width %4.4e for option 'Qbb'
qh_maxsimplex: searching all points ('Qs') for %d-th initial vertex, better than p%d det %4.4g, targetdet %4.4g, ratio %4.4g
qhull error: insufficient memory to project %d points
qh_voronoi_center: at infinity for qhull internal error (qh_order_vertexneighbors): no neighbor of v%d for f%d
# 1 point per line
1 %d  degenerateprojected p%d
- p%d(v%d):qhull internal error: qh_checklists failed on reset of qh.vertex_visit %u
 and at-infinity  Total number of deleted points due to merging: %d
  Number of merged facets: %d
  After %d retries, input joggled by: %2.2g
qhull internal error (qh_memalloc): short totbuffer %d != totshort+totfree... %d
 %d->%dqh_premerge: premerge centrum %2.2g angle %4.4g for apex p%d newfacet_list f%d
qhull internal error (qh_all_merges): expecting concave, coplanar, or twisted merge.  Got merge f%d f%d v%d mergetype %d
qhull internal error (qh_appendmergeset): mirrored facets f%d and f%d do not have the same vertices
qh_appendmergeset: append merge f%d and f%d type %d (%s) dist %2.2g angle %4.4g to qh.facet_mergeset (size %d)
qh_degen_redundant_facet: f%d is contained in f%d.  merge
qhull topology error (qh_mergesimplex): f%d is a dupridge of f%d, cannot merge f%d into f%d
qh_rename_adjacentvertex: ignore rename.  Either v%d (%d) or v%d (%d) is deleted
qh_test_redundant_neighbors: test neighbors of f%d vertex_visit %d
qhull internal error (qh_checkfacet): facet f%d does not have a ridge for neighbor f%d
qhull internal error (qh_checkpolygon): expecting empty f.neighbors and f.ridges for visible facet f%d.  Got %d neighbors and %d ridges
qhull internal error (qh_checkpolygon): v%d is a vertex of facet f%d but f%d is not a neighbor of v%d
qhull internal error (qh_checkpolygon): #vertices %d != #facets %d
qh_findbestlower: f%d dist %2.2g for f%d p%d
qh_findgood: f%d is closest(%2.2g) to thresholds
qh_triangulate: delete %d or more mirrored facets.  Mirrored facets have the same vertices due to a null facet
qh_deletevisible: delete %d visible facets and %d vertices
qh_facetintersect: f%d skip %d matches f%d skip %d
qhull topology warning (qh_matchneighbor): will merge vertices to undo new facets -- f%d and f%d have the same vertices (skip %d, skip %d) and same horizon ridges to f%d and f%d
qh_update_vertexneighbors: delete interior vertex p%d(v%d) of visible f%d
%s set=%p maxsize=%d size=%d elems=qhull internal error (qh_setreplace): elem %p not found in set
average merges per facet (at most 511)average cosine (angle) of facet normals for all ridges  maximum facet areapoints ignored (!above max_outside)duplicated ridges with flipped facetsinitial non-convex ridges for post mergingmerges due to redundant neighbors  tot. merge pinched vertex due to dupridge
FAILURE obtaining __notes__[Caught an unknown nested exception!__doc__singular input dataqh_freebuild: delete the previously-seen ridges of f%d
Distance-roundoffwqhull option warning: missing max width for trace option 'TWn'
qhull option warning: unknown 'T' trace option 'T%c', skip to next space
qhull option error: can not use merge-pinched-vertices ('Q14') with good-facets-only ('Qg')
qhull input error: not enough points(%d) to construct initial simplex (need %d)
qhull error: insufficient memory to joggle %d points
qhull error: insufficient memory to compute dual of %d halfspaces
zero diagonal on back substitution    - normal: {appearance {+edge -face} OFF %d %d 1 # Voronoi centers and cells
qhull internal error (qh_buildhull): visible or new facet f%d in facet list
qhull internal error (qh_partitionpoint): cannot partition p%d of f%d into visible facet f%d
Approximateqh_all_merges: drop merge of f%d (del? %d) into f%d (del? %d) mergetype %d, dist %4.4g, angle %4.4g.  One or both facets is deleted
qh_checkzero: facet f%d and horizon f%d are not clearly convex.  v%d dist %.2g
qh_mergecycle_ridges: delete shared ridges from newfacet
qh_remove_mergetype: remove merge f%d f%d v%d v%d r%d r%d dist %2.2g type %dqh_renamevertex: renaming pinched v%d to v%d between f%d and f%d
qh_test_centrum_merge: concave f%d to coplanar f%d, dist %4.4g and reverse dist %4.4g, angle %4.4g during p%d
qh_check_bestdist: max distance outside %2.2g
qhull precision error: initial simplex is not convex, since p%d(v%d) is %6.4g above opposite f%d
qhull internal error (qh_checklists): unknown or overwritten facet f%d, either id >= qh.facet_id (%d) or f.visitid %u > qh.visit_id %u.  Facetlist terminated at previous facet f%d
qhull internal error (qh_nearvertex): did not find bestvertex for f%d p%d
qhull internal warning (point_add): unknown point %p id %d
hash %d f%d qh_triangulate_link: relink neighbors f%d and f%d of mirrored facets f%d and f%d
qh_matchneighbor: newfacet f%d skip %d hash %d hashcount %d
qh_settemppop: depth %d temp set %p of %d elements
average number of ridges per facetridges created altogetherdistance tests for checking simplicial convexityhorizon facets merged into new facetsmerges due to flipped facets in duplicated ridgeqhull warning (qh_stddev): expecting num > 0.  Got num %d, tot %4.4g, tot2 %4.4g.  Returning 0.0
: get_internals: create_pp_content_once() produced nullptr__module__%.200s.__init__() must be called when overriding __init____reduce_ex__Unable to convert call argument '__version__W-outsideFareaQBound-dim-highQ12-allow-wideQ9-pick-furthestqhull option warning: option 'Qbb' (scale-last-coordinate) is normally used with 'd' or 'v'
qhull internal error (qh_detsimplex): #points %d < dimension %d
qh_distround: %2.2g, maxabs %2.2g, maxsumabs %2.2g, maxdistsum %2.2g
qh_sethalfspace_all: compute dual for halfspace intersection


Current summary is:
qhull internal error (qh_detvnorm): too few points(%d) to compute separating plane
no normal for facet f%d
[[%16.8f, %16.8f], [%16.8f, %16.8f]]
    - merges: %d
 DUPLICATEridgeqhull input error: halfspace intersection needs a feasible point.  Either prepend the input with 1 point or use 'Hn,n,n'.  See manual.
For testing vertex neighborsqhull internal error (qh_findhorizon): visible facet f%d does not have neighbors
horizonqhull 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_partitionpoint: point p%d is coplanar to facet f%d (dropped)
qhull internal error (qh_memalloc): qhmem has not been initialized.
qh_mem %p n %8d free short: %d bytes (tot %d cnt %d)
concaveqhull internal error (qh_checkdelfacet): cannot delete f%d.  It is referenced by merge f%d f%d mergetype %d
qhull internal error (qh_checkdelridge): unexpected 'nonconvex' flag for ridge r%d in visible facet f%d.  Otherwise need to call qh_delridge_merge
qh_find_newvertex: vertices not in ridges for v%d
qhull internal error (qh_forcedmerges): f%d and f%d had a dupridge but as f%d and f%d they are no longer neighbors
qh_merge_nonconvex: merge #%d for f%d and f%d type %d
qh_mergecycle: merge #%d for facets from cycle f%d into coplanar horizon f%d
qhull precision error (qh_mergefacet): wide merge for pinched facet f%d into f%d for mergetype %d (%s).  maxdist %2.2g (%.fx) mindist %2.2g (%.1fx) vertexdist %2.2g  Allow with 'Q12' (allow-wide)
qh_rename_adjacentvertex: simplicial f%d contains old v%d and new v%d.  Will be marked degenerate by qh_renamevertex
qh_renamevertex: rename v%d to v%d in %d ridges with old f%d and neighbor f%d
qh_test_appendmerge: coplanar angle %4.4g between f%d and f%d
qh_test_redundant_neighbors: f%d is degenerate with %d neighbors.

qhull output completed.  Verifying that %d points are
below %2.2g of the nearest %sfacet.
qhull precision error (qh_check_bestdist): a coplanar point is %6.2g from convex hull.  The maximum value is qh.outside_err (%6.2g)
qhull internal error (qh_checkfacet): vertex v%d in r%d not in f%d intersect f%d
qhull internal error (qh_checklists): qh.newfacet_list f%d is not on qh.facet_list f%d
qhull internal error (qh_checkpolygon): f%d is on qh.visible_list f%d but it is not 'visible'
qhull internal error (qh_makenew_nonsimplicial): simplicial f%d sharing two ridges with f%d
qh_matchneighbor: no match for f%d skip %d at hash %d
qh_newfacet: created facet f%d
qh_settemp: temp set %p of %d elements, depth %d
maximum number of verticespartitioning statistics (see previous for outer planes)ave. initial non-convex ridges per iterationmax distance of vertex or coplanar point above facet (w/roundoff)
%s
qhull invoked by: %s | %s
  %s with options:
%s
When computing the Delaunay triangulation:
  - use 'Qz' to add a point at-infinity.  This reduces precision problems.
Python version mismatch: module was compiled for Python %s, but the interpreter version is incompatible: %s.
FAILURE obtaining len(__notes__):  to C++ type '?' (#define PYBIND11_DETAILED_ERROR_MESSAGES or compile in debug mode for details)' to Python object (#define PYBIND11_DETAILED_ERROR_MESSAGES or compile in debug mode for details)FATAL: Internal consistency check failed: Invalid clear_patients() call.__spec__--

Compute a Delaunay triangulation.

Parameters
----------
x, y : 1d arrays
    The coordinates of the point set, which must consist of at least
    three unique points.
verbose : int
    Python's verbosity level.

Returns
-------
triangles, neighbors : int arrays, shape (ntri, 3)
    Indices of triangle vertices and indices of triangle neighbors.
internal errorqh_freebuild: free global sets
qh_freeqhull: free global memory
Qbbound-last-qjqh_maxsimplex: searching all points for %d-th initial vertex, better than p%d det %4.4g and mindet %4.4g, ratio %4.4g

     at offset:  and distance: points Last merge #%d
qh_normalize: norm=%2.2g too small during p%d
qh_markvoronoi: isLower %d numcenters %d
qh_addpoint: added p%d to convex hull with point balance %2.2g
_runqhull internal error (qh_buildhull): %d outside points were never processed.
nearly incident point  Number of non-redundant halfspaces: %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)
redundantqhull topology error (qh_next_vertexmerge): no nearly adjacent vertices to resolve dupridge.  Nearest v%d and v%d dist %2.2g (%.1fx)
qh_test_nonsimplicial_merge: coplanar f%d v%d to f%d v%d, dist %4.4g and reverse dist %4.4g, angle %4.4g during p%d
qh_vertexridges: found %d ridges for v%d
qh_check_maxout:  p%d(v%d) is qh.min_vertex %2.2g below facet f%d.  Point p%d for f%d is qh.max_outside %2.2g above f%d.  %d points are outside of not-good facets
qh_checkconvex: check that facets are not-flipped and for qh.ZEROcentrum that simplicial vertices are below their neighbor (dist<0.0)
qh_checkfacet: check f%d newmerge? %d
qhull internal error (qh_checkfacet): ridge r%d is nonconvex (%d), mergevertex (%d) or not tested (%d) for facet f%d, neighbor f%d
qhull internal error (qh_checklists): either qh.facet_tail f%d is NULL, or its id is not 0, or its next is not NULL
qh_checkpolygon: check all facets from f%d, qh.NEWtentative? %d
qhull internal error (point_add): point p%d is out of bounds(%d)
qhull internal error (qh_replacefacetvertex): f%d does not contain old v%d
qhull internal error (qh_settruncate): size %d out of bounds for set:
precision problems (corrected unless 'Q0' or an error)coplanar horizon facets for new verticesaverage number of neighbors per vertexmax. vertices at any one time  ave. distance tests per checkcalls to findhorizonvertices deleted by mergingvertices deleted by merging into coplanar horizon   max. found for a vertex
qhull error while handling previous error in qh_errexit.  Exit program
printfacetlist: facetlist

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:
initialization failed__notes__pybind11_builtinsstd::make_object_base_type(): error allocating type!FArea-totalFSizeqh_initqhull_globals: trace last of TR%d runs at level %d
qhull option warning: drop dimension 'GD%d' is only available for 3-d/4-d Geomview
qhull internal error (qh_maxsimplex): qh.MAXwidth required for qh_maxsimplex.  Used to estimate determinate
qh_scalelast: scale last coordinate from [%2.2g, %2.2g] to [%2.2g, %2.2g]
qhull internal error (qh_getcenter): not defined for %d points
qh_detvnorm: points %d %d angle %2.2g nearzero %d
{
qhull internal error (qh_printend): number of ridges %d != number printed %d and at end %d
[%16.8f, %16.8f, %16.8f]# ridge between f%d f%d
 visible tested    - ridges:
VECT 1 %d 1 %d 1  # p%d(v%d)
qh_buildhull: completed the hull construction
qh_partitioncoplanar: point p%d is inside facet f%d dist %2.2g allnew? %d
qh_partitioncoplanar: repartition coplanar point p%d from f%d as an outside point above corner facet f%d dist %2.2g with angle %2.2g
  Maximum distance of vertex below facet: %2.2gqh_checkzero: qh_premerge is needed.  New facet f%d or its horizon f%d is non-simplicial, flipped, dupridge, or mergehorizon
qh_forcedmerges: dupridge f%d is degenerate with fewer than %d neighbors
qh_getmergeset: %d merges found
qh_mark_dupridges): dupridge due to duplicate vertices for subridges f%d and f%d
qh_mergecycle_all: merged %d same cycles or facets into coplanar horizons and %d degenredundant facets
qh_mergecycle_neighbors: update neighbors
qh_neighbor_vertices_facet: found %d vertex neighbors for v%d in f%d (simplicial? %d)
qh_reducevertices: reduce extra vertices, shared vertices, and redundant vertices
Qhull precision warning: in post-processing (qh_check_maxout) p%d(v%d) is %2.2g below f%d nearest vertices %2.2g
qhull precision error: initial simplex is not convex, since p%d(v%d) is within roundoff of opposite facet f%d (dist %6.4g)
qh_checklists: check %slist f%d and qh.vertex_list v%d
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).
qh_initialhull: qh_matchdupridge: keep dupridge f%d skip %d and f%d skip %d, dist %4.4g
qh_triangulate: update neighbor lists for vertices from v%d
flipped facetmaximum number of neighbors  determinants not computed because vertex too low  ave. facets per cycle  ave. distance of midpoint to ridgeqhull internal error (userprintf_r.c): fp and qh not defined for qh_fprintf '%s'
  Last merge was #%d.facetUnexpected PYBIND11_BYTES_AS_STRING() failure.Cannot overload existing non-function object "numpy.lib/dev/null; use python verbose option (-v) to see original qhull error.qh_freebuffers: freeing up global memory buffers
offFileFmergesFNeighbors-vertexPprecision-ignoreqhull option warning: unknown 'P' print option 'P%c', skip to next space
QRotate-idqhull option warning: output file undefined(stdout).  Option 'Tz' ignored.
qh_initflags: option flags initialized
Fvoronoiqh_findgooddist: no good facet for p%d above f%d
# 1 color for all
qhull warning: output is the Delaunay triangulation
PLOT(CURVES(
}]OFF 3 1 1 # f%d
%s | %s
 # p%d is coplanar or isolated
qhull input warning: more coordinates for 'H%s' than dimension %d
qh_qhull: all facets are clearly convex and no coplanar points.  Post-merging and check of maxout not needed.
qh_partitioncoplanar: partition coplanar point p%d starting with f%d dist? %2.2g, allnew? %d, gh.repart_facetid f%d

Delaunay triangulation by the convex hull of %d points in %d-d:

  Number of %s points: %d
qhull error (qh_memalloc): negative request size (%d).  Did int overflow due to high-D?
qhull internal error (qh_appendmergeset): facet f%d or f%d is already a mirrored facet (i.e., 'redundant')
qh_delridge_merge: delete ridge r%d between f%d and f%d
qh_flippedmerges: begin
qhull internal error (qh_mergefacet): either f%d and f%d are the same or one is a visible facet, mergetype %d (%s)
qh_test_degen_neighbors: test for degenerate neighbors of f%d
qh_test_nonsimplicial_merge: concave coplanar f%d v%d to f%d v%d, dist %4.4g and reverse dist %4.4g, angle %4.4g during p%d
qhull precision error: f%d is concave to f%d, since p%d(v%d) is %6.4g above f%d
ridges for fqh_checklists: check qh.%s_list f%d and qh.vertex_list v%d
qh_initbuild: initial hull created and points partitioned
qh_matchdupridge: try good dupridge f%d skip %d into new f%d skip %d at dist %2.2g otherdist %2.2g
qh_triangulate: identify degenerate tricoplanar facets from 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
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.
set: qhull error (qh_settemppush): can not push a NULL temp
max. distance of a new vertex to a facetaverage number of vertices per facetvertices created altogethersearches of all points for initial simplextotal vertices deleted ave. clearly betterdistance tests for initial partitiontwisted ridges in getmergesetrenamed vertices shared by two facets
These points are the dual of the given halfspaces.  They indicate that
the intersection is degenerate.
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