diff --git a/CHANGELOG.txt b/CHANGELOG.txt
index c1ed8567c6903cac002e95774376ef2ed8baf153..95d03dc2c1a383edbce9a26fd663de93fda1182a 100644
--- a/CHANGELOG.txt
+++ b/CHANGELOG.txt
@@ -1,4 +1,8 @@
-4.8.0 (Work-in-progress): new interactive and fully parametrizable definition of
+4.8.1 (Work-in-progress): new quasi-structured quad algorithm (replaces the
+"packing of parallelogram" algorithm); improved performance when transforming
+many OCC entities.
+
+4.8.0 (March 2, 2021): new interactive and fully parametrizable definition of
boundary conditions, materials, etc. through ONELAB variables; new API functions
for creating trimmed BSpline/Bezier patches, perform raw triangulations and
tetrehedralizations, get upward adjacencies, and create extruded boundary layers
@@ -6,13 +10,14 @@ and automatic curve loops in built-in kernel; improved performance of high-order
meshing of OCC models; improved handling of high resolution displays; new
structured CGNS exporter; new transfinite Beta law; added support for embedded
curves in HXT; added automatic conversion from partitioned MSH2 files to new
-partitioned entities; fixed order of Gauss quadrature for quads and hexas; code
-modernization (C++11); further uniformization of option names to match the
-documented terminology (Mesh.Point -> Mesh.Node, ...; old names are still
-accepted, but deprecated); deprecated Mesh.MinimumElementsPerTwoPi: set value
-directly to Mesh.MeshSizeFromCurvature instead; Python and Julia APIs now also
-define "snake case" aliases for all camelCase function names; small bug fixes
-and improvements.
+partitioned entities; element groups can now be imported from UNV files; fixed
+order of Gauss quadrature for quads and hexas; code modernization (C++11);
+further uniformization of option names to match the documented terminology
+(Mesh.Point -> Mesh.Node, ...; old names are still accepted, but deprecated);
+deprecated Mesh.MinimumElementsPerTwoPi: set value directly to
+Mesh.MeshSizeFromCurvature instead; Python and Julia APIs now also define "snake
+case" aliases for all camelCase function names; small bug fixes and
+improvements.
* Incompatible API changes: new optional arguments to mesh/classifySurfaces,
occ/addBSplineSurface, occ/addBezierSurface, occ/addPipe and view/probe;
diff --git a/CMakeLists.txt b/CMakeLists.txt
index a5ee5e270735bb8fc32e96d33a701861a20d0880..b8990a166fc63fc12077b2a46defe219eddd6682 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -88,6 +88,7 @@ opt(POST "Enable post-processing module (required by GUI)" ${DEFAULT})
opt(POPPLER "Enable Poppler for displaying PDF documents (experimental)" OFF)
opt(PRIVATE_API "Enable private API" OFF)
opt(PRO "Enable PRO extensions" ${DEFAULT})
+opt(QUADMESHINGTOOLS "Enable QuadMeshingTools extensions" ${DEFAULT})
opt(QUADTRI "Enable QuadTri structured meshing extensions" ${DEFAULT})
opt(REVOROPT "Enable Revoropt (used for CVT remeshing)" OFF)
opt(RPATH "Use RPATH in dynamically linked targets" ON)
@@ -105,7 +106,7 @@ opt(ZIPPER "Enable Zip file compression/decompression" OFF)
set(GMSH_MAJOR_VERSION 4)
set(GMSH_MINOR_VERSION 8)
-set(GMSH_PATCH_VERSION 0)
+set(GMSH_PATCH_VERSION 1)
if(NOT GMSH_EXTRA_VERSION)
set(GMSH_EXTRA_VERSION "")
endif()
@@ -322,6 +323,7 @@ if(ENABLE_OPENMP)
set_config_option(HAVE_OPENMP "OpenMP")
set(CMAKE_C_FLAGS "${CMAKE_C_FLAGS} ${OpenMP_C_FLAGS}")
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${OpenMP_CXX_FLAGS}")
+ list(APPEND EXTERNAL_LIBRARIES "${OpenMP_CXX_LIBRARIES}")
elseif(APPLE AND EXISTS "/opt/local/lib/libomp")
# official Apple compiler with macports' libomp
set_config_option(HAVE_OPENMP "OpenMP[MacPorts]")
@@ -1245,6 +1247,12 @@ if(EXISTS ${CMAKE_CURRENT_SOURCE_DIR}/pro AND ENABLE_PRO)
add_subdirectory(pro)
endif()
+if(EXISTS ${CMAKE_CURRENT_SOURCE_DIR}/contrib/QuadMeshingTools AND ENABLE_QUADMESHINGTOOLS)
+ set_config_option(HAVE_QUADMESHINGTOOLS "QuadMeshingTools")
+ add_subdirectory(contrib/QuadMeshingTools)
+ include_directories(BEFORE contrib/QuadMeshingTools)
+endif()
+
if(ENABLE_OCC)
set(OCC_MINIMAL_VERSION "6.9.1")
if(WIN32)
@@ -1502,6 +1510,13 @@ if(WALL AND NOT MSVC)
# FIXME: remove this when GCC behaves more intelligently
set(WF "${WF} -Wno-attributes")
endif()
+ if(WIN32 OR NOT HAVE_64BIT_SIZE_T)
+ # FIXME: remove printf family warnings on 32 bit systems and windows
+ check_cxx_compiler_flag("-Wformat=" WFORMAT)
+ if(WFORMAT)
+ set(WF "${WF} -Wformat=")
+ endif()
+ endif()
set_compile_flags(WALL_SRC ${WF})
endif()
diff --git a/CREDITS.txt b/CREDITS.txt
index d1769d857a77f926c2bedd217f19f8337b657bc2..86b517000b0ae15f7f2e07c8ebf9729afacd109f 100644
--- a/CREDITS.txt
+++ b/CREDITS.txt
@@ -31,9 +31,10 @@ cleanup and performance improvements), Celestin Marot (HXT/tetMesh),
Pierre-Alexandre Beaufort (HXT/reparam), Zhidong Han (LSDYNA export), Ismail
Badia (hierarchical basis functions), Jeremy Theler (X3D export), Thomas
Toulorge (high order mesh optimizer, new CGNS IO), Max Orok (binary PLY), Marek
-Wojciechowski (PyPi packaging), Maxence Reberol (automatic transfinite), Michael
-Ermakov (Gambit export). See comments in the sources for more information. If we
-forgot to list your contributions please send us an email!
+Wojciechowski (PyPi packaging), Maxence Reberol (automatic transfinite, quad
+meshing tools), Michael Ermakov (Gambit export). See comments in the sources for
+more information. If we forgot to list your contributions please send us an
+email!
Thanks to the following folks who have contributed by providing fresh ideas on
theoretical or programming topics, who have sent patches, requests for changes
@@ -141,6 +142,14 @@ The colorbar widget (Fltk/colorbarWindow.cpp) was inspired by code from the
Vis5d program for visualizing five dimensional gridded data sets, copyright (C)
1990-1995, Bill Hibbard, Brian Paul, Dave Santek, and Andre Battaiola.
+The libOL code (Common/libol1.{c,h}) is Copyright 2012-2018 - by Loïc Maréchal /
+INRIA. This program is a free software. You can redistribute it and/or modify it
+under the terms of the MIT License as published by the Open Source Initiative.
+
+The Fast & memory efficient hashtable based on robin hood hashing
+(Common/robin_hood.h) is Copyright (c) 2018-2020 Martin Ankerl and is licensed
+under the MIT License.
+
In addition, this version of Gmsh may contain the following contributed,
optional codes in the contrib/ directory, each governed by their own license:
@@ -149,7 +158,7 @@ optional codes in the contrib/ directory, each governed by their own license:
* contrib/gmm copyright (C) 2002-2008 Yves Renard;
-* contrib/hxt - Copyright (C) 2017-2018 - Universite catholique de Louvain;
+* contrib/hxt - Copyright (C) 2017-2020 - Universite catholique de Louvain;
* contrib/kbipack copyright (C) 2005 Saku Suuriniemi;
@@ -180,4 +189,4 @@ optional codes in the contrib/ directory, each governed by their own license:
* contrib/zipper from MiniZip - Copyright (c) 1998-2010 - by Gilles Vollant -
version 1.1 64 bits from Mathias Svensson.
-heck the configuration options to see which have been enabled.
+Check the configuration options to see which have been enabled.
diff --git a/Common/CMakeLists.txt b/Common/CMakeLists.txt
index b389bbc11ff91df30d63292ba6e782a901f7e3f4..3e0981d05a9701050bbbffd357f92fd51e966997 100644
--- a/Common/CMakeLists.txt
+++ b/Common/CMakeLists.txt
@@ -26,6 +26,7 @@ set(SRC
GmshRemote.cpp
gmshLocalNetworkClient.cpp
gmsh.cpp
+ libol1.c # should do something different for C file ?
)
file(GLOB HDR RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} *.h)
diff --git a/Common/CommandLine.cpp b/Common/CommandLine.cpp
index ef10af645a80b7dcb2faa63c49a624f9e95c49ea..e5cfec08e69e96d309ad9299a6d8c89949f15f02 100644
--- a/Common/CommandLine.cpp
+++ b/Common/CommandLine.cpp
@@ -109,7 +109,7 @@ std::vector<std::pair<std::string, std::string> > GetUsage()
"coordinates (Mesh.SaveParametric)"));
s.push_back(mp("-save_topology", "Save model topology (Mesh.SaveTopology)"));
s.push_back(mp("-algo string", "Select mesh algorithm: auto, meshadapt, del2d, "
- "front2d, delquad, pack, initial2d, del3d, front3d, mmg3d, hxt, "
+ "front2d, delquad, quadqs, initial2d, del3d, front3d, mmg3d, hxt, "
"initial3d (Mesh.Algorithm and Mesh.Algorithm3D)"));
s.push_back(mp("-smooth int", "Set number of mesh smoothing steps "
"(Mesh.Smoothing)"));
@@ -1201,6 +1201,8 @@ void GetOptions(bool readConfigFiles, bool exitOnError)
opt_mesh_algo2d(0, GMSH_SET, ALGO_2D_FRONTAL_QUAD);
else if(argv[i] == "PackingOfParallelograms" || argv[i] == "pack")
opt_mesh_algo2d(0, GMSH_SET, ALGO_2D_PACK_PRLGRMS);
+ else if(argv[i] == "QuadQuasiStructured" || argv[i] == "quadqs")
+ opt_mesh_algo2d(0, GMSH_SET, ALGO_2D_QUAD_QUASI_STRUCT);
else if(argv[i] == "initial2d")
opt_mesh_algo2d(0, GMSH_SET, ALGO_2D_INITIAL_ONLY);
else if(argv[i] == "del3d" || argv[i] == "gmsh3d")
diff --git a/Common/Context.h b/Common/Context.h
index eba5754299dd89fb093f362d9b80f431ff77a195..123dd08daea556ca325bceb9eadce736388c53d7 100644
--- a/Common/Context.h
+++ b/Common/Context.h
@@ -49,12 +49,14 @@ struct contextMeshOptions {
unsigned int randomSeed;
int nLayersPerGap;
double gradation;
+ int quadqsSizemapMethod, quadqsTopoOptimMethods;
std::function<double(int, int, double, double, double)> lcCallback;
// mesh IO
int fileFormat, firstElementTag, firstNodeTag;
double mshFileVersion, medFileMinorVersion, scalingFactor;
int medImportGroupsOfNodes, medSingleModel;
int saveAll, saveTri, saveGroupsOfNodes, saveGroupsOfElements;
+ int readGroupsOfElements;
int binary, bdfFieldFormat;
int unvStrictFormat, stlRemoveDuplicateTriangles, stlOneSolidPerSurface;
double stlLinearDeflection, stlAngularDeflection;
diff --git a/Common/CreateFile.cpp b/Common/CreateFile.cpp
index 9897f7fd58fca830fa923b8da1001c21ac4efc35..4fdcedde1705a4ce217651ea0928394df3775f61 100644
--- a/Common/CreateFile.cpp
+++ b/Common/CreateFile.cpp
@@ -362,7 +362,9 @@ void CreateOutputFile(const std::string &fileName, int format,
case FORMAT_UNV:
GModel::current()->writeUNV
- (name, CTX::instance()->mesh.saveAll, CTX::instance()->mesh.saveGroupsOfNodes,
+ (name, CTX::instance()->mesh.saveAll,
+ CTX::instance()->mesh.saveGroupsOfElements,
+ CTX::instance()->mesh.saveGroupsOfNodes,
CTX::instance()->mesh.scalingFactor);
break;
diff --git a/Common/DefaultOptions.h b/Common/DefaultOptions.h
index c25201146870fdd233887695ca4c304636f66706..0e2c2dfbd516a2bdd75ff9d8c42f2d85ffe00c7f 100644
--- a/Common/DefaultOptions.h
+++ b/Common/DefaultOptions.h
@@ -1191,6 +1191,12 @@ StringXNumber MeshOptions_Number[] = {
"Maximum angle between edges/faces within layers of BL triangles/tets "
"for the detection of columns in the fast curving algorithm"},
+ { F|O, "IgnoreParametrization" , opt_mesh_ignore_parametrization, 0. ,
+ "Skip parametrization section when reading meshes in the MSH4 format." },
+ { F|O, "IgnorePeriodicity" , opt_mesh_ignore_periodicity , 1. ,
+ "Skip periodic node section and skip periodic boundary alignement step when "
+ "reading meshes in the MSH2 format." },
+
{ F|O, "LabelSampling" , opt_mesh_label_sampling , 1. ,
"Label sampling rate (display one label every `LabelSampling' elements)" },
{ F|O, "LabelType" , opt_mesh_label_type , 0. ,
@@ -1282,43 +1288,6 @@ StringXNumber MeshOptions_Number[] = {
"Import groups of nodes (0: no; 1: create geometrical point for each node)?" },
{ F|O, "MedSingleModel" , opt_mesh_med_single_model , 0. ,
"Import MED meshes in the current model, even if several MED mesh names exist" },
- { F|O, "PartitionHexWeight" , opt_mesh_partition_hex_weight , -1 ,
- "Weight of hexahedral element for METIS load balancing (-1: automatic)" },
- { F|O, "PartitionLineWeight" , opt_mesh_partition_line_weight , -1 ,
- "Weight of line element for METIS load balancing (-1: automatic)" },
- { F|O, "PartitionPrismWeight" , opt_mesh_partition_pri_weight , -1 ,
- "Weight of prismatic element (wedge) for METIS load balancing (-1: automatic)" },
- { F|O, "PartitionPyramidWeight" , opt_mesh_partition_pyr_weight , -1 ,
- "Weight of pyramidal element for METIS load balancing (-1: automatic)" },
- { F|O, "PartitionQuadWeight" , opt_mesh_partition_qua_weight , -1 ,
- "Weight of quadrangle for METIS load balancing (-1: automatic)" },
- { F|O, "PartitionTrihedronWeight" , opt_mesh_partition_trih_weight , 0 ,
- "Weight of trihedron element for METIS load balancing (-1: automatic)" },
- { F|O, "PartitionTetWeight" , opt_mesh_partition_tet_weight , -1 ,
- "Weight of tetrahedral element for METIS load balancing (-1: automatic)" },
- { F|O, "PartitionTriWeight" , opt_mesh_partition_tri_weight , -1 ,
- "Weight of triangle element for METIS load balancing (-1: automatic)" },
- { F|O, "PartitionCreateTopology" , opt_mesh_partition_create_topology , 1 ,
- "Create boundary representation of partitions" },
- { F|O, "PartitionCreatePhysicals" , opt_mesh_partition_create_physicals , 1 ,
- "Create physical groups for partitions, based on existing physical groups" },
- { F|O, "PartitionCreateGhostCells" , opt_mesh_partition_create_ghost_cells , 0 ,
- "Create ghost cells, i.e. create for each partition a ghost entity containing "
- "elements connected to neighboring partitions by at least one node." },
- { F|O, "PartitionSplitMeshFiles" , opt_mesh_partition_split_mesh_files , 0 ,
- "Write one file for each mesh partition" },
- { F|O, "PartitionTopologyFile" , opt_mesh_partition_save_topology_file , 0 ,
- "Write a .pro file with the partition topology" },
- { F|O, "PartitionOldStyleMsh2" , opt_mesh_partition_old_style_msh2 , 1 ,
- "Write partitioned meshes in MSH2 format using old style (i.e. by not "
- "referencing new partitioned entities, except on partition boundaries), "
- "for backward compatibility" },
- { F|O, "PartitionConvertMsh2" , opt_mesh_partition_convert_msh2 , 1 ,
- "When reading partitioned meshes in MSH2 format, create new partition "
- "entities"},
-
- { F|O, "ReparamMaxTriangles" , opt_mesh_reparam_max_triangles , 250000 ,
- "Maximum number of triangles in a single parametrization patch" },
{ F, "NbHexahedra" , opt_mesh_nb_hexahedra , 0. ,
"Number of hexahedra in the current mesh (read-only)" },
@@ -1362,6 +1331,40 @@ StringXNumber MeshOptions_Number[] = {
"Optimize the mesh using Netgen to improve the quality of tetrahedral "
"elements" },
+ { F|O, "PartitionHexWeight" , opt_mesh_partition_hex_weight , -1 ,
+ "Weight of hexahedral element for METIS load balancing (-1: automatic)" },
+ { F|O, "PartitionLineWeight" , opt_mesh_partition_line_weight , -1 ,
+ "Weight of line element for METIS load balancing (-1: automatic)" },
+ { F|O, "PartitionPrismWeight" , opt_mesh_partition_pri_weight , -1 ,
+ "Weight of prismatic element (wedge) for METIS load balancing (-1: automatic)" },
+ { F|O, "PartitionPyramidWeight" , opt_mesh_partition_pyr_weight , -1 ,
+ "Weight of pyramidal element for METIS load balancing (-1: automatic)" },
+ { F|O, "PartitionQuadWeight" , opt_mesh_partition_qua_weight , -1 ,
+ "Weight of quadrangle for METIS load balancing (-1: automatic)" },
+ { F|O, "PartitionTrihedronWeight" , opt_mesh_partition_trih_weight , 0 ,
+ "Weight of trihedron element for METIS load balancing (-1: automatic)" },
+ { F|O, "PartitionTetWeight" , opt_mesh_partition_tet_weight , -1 ,
+ "Weight of tetrahedral element for METIS load balancing (-1: automatic)" },
+ { F|O, "PartitionTriWeight" , opt_mesh_partition_tri_weight , -1 ,
+ "Weight of triangle element for METIS load balancing (-1: automatic)" },
+ { F|O, "PartitionCreateTopology" , opt_mesh_partition_create_topology , 1 ,
+ "Create boundary representation of partitions" },
+ { F|O, "PartitionCreatePhysicals" , opt_mesh_partition_create_physicals , 1 ,
+ "Create physical groups for partitions, based on existing physical groups" },
+ { F|O, "PartitionCreateGhostCells" , opt_mesh_partition_create_ghost_cells , 0 ,
+ "Create ghost cells, i.e. create for each partition a ghost entity containing "
+ "elements connected to neighboring partitions by at least one node." },
+ { F|O, "PartitionSplitMeshFiles" , opt_mesh_partition_split_mesh_files , 0 ,
+ "Write one file for each mesh partition" },
+ { F|O, "PartitionTopologyFile" , opt_mesh_partition_save_topology_file , 0 ,
+ "Write a .pro file with the partition topology" },
+ { F|O, "PartitionOldStyleMsh2" , opt_mesh_partition_old_style_msh2 , 1 ,
+ "Write partitioned meshes in MSH2 format using old style (i.e. by not "
+ "referencing new partitioned entities, except on partition boundaries), "
+ "for backward compatibility" },
+ { F|O, "PartitionConvertMsh2" , opt_mesh_partition_convert_msh2 , 1 ,
+ "When reading partitioned meshes in MSH2 format, create new partition "
+ "entities"},
{ F|O|D, "Points" , opt_mesh_nodes , 0. ,
"[Deprecated]" },
{ F|O|D, "PointNumbers" , opt_mesh_node_labels , 0. ,
@@ -1370,6 +1373,9 @@ StringXNumber MeshOptions_Number[] = {
"[Deprecated]" },
{ F|O|D, "PointType" , opt_mesh_node_type , 0. ,
"[Deprecated]" },
+ { F|O, "PreserveNumberingMsh2" , opt_mesh_preserve_numbering_msh2 , 0. ,
+ "Preserve element numbering in MSH2 format (will break meshes with multiple "
+ "physical groups for a single elementary entity)"},
{ F|O, "Prisms" , opt_mesh_prisms , 1. ,
"Display mesh prisms?" },
{ F|O, "Pyramids" , opt_mesh_pyramids , 1. ,
@@ -1377,8 +1383,23 @@ StringXNumber MeshOptions_Number[] = {
{ F|O, "Trihedra" , opt_mesh_trihedra , 1. ,
"Display mesh trihedra?" },
+ { F|O, "QuadqsSizemapMethod" , opt_mesh_quadqs_sizemap_method, 0. ,
+ "Size map method in QuadQuasiStructured. 0: default, 1: cross-field,"
+ "2: cross-field + CAD small features adaptation,"
+ "3: from background mesh (e.g. sizes in current triangulation)"
+ },
+ { F|O, "QuadqsTopologyOptimizationMethods" , opt_mesh_quadqs_topo_optim_methods, 0. ,
+ "Topology optimization methods in QuadQuasiStructured. 0: default (all),"
+ "100: pattern-based CAD faces,"
+ "010: disk quadrangulation remeshing,"
+ "001: cavity remeshing,"
+ "xxx: combination of multiple methods (e.g. 111 for all)"
+ },
+
{ F|O, "Quadrangles" , opt_mesh_quadrangles , 1. ,
"Display mesh quadrangles?" },
+
+
{ F|O, "QualityInf" , opt_mesh_quality_inf , 0.0 ,
"Only display elements whose quality measure is greater than QualityInf" },
{ F|O, "QualitySup" , opt_mesh_quality_sup , 0.0 ,
@@ -1397,17 +1418,13 @@ StringXNumber MeshOptions_Number[] = {
"RandomFactor * size(triangle)/size(model) approaches machine accuracy)" },
{ F|O, "RandomFactor3D" , opt_mesh_rand_factor3d , 1.e-12 ,
"Random factor used in the 3D meshing algorithm" },
-
{ F|O, "RandomSeed" , opt_mesh_random_seed , 1. ,
"Seed of pseudo-random number generator" },
- { F|O, "PreserveNumberingMsh2" , opt_mesh_preserve_numbering_msh2 , 0. ,
- "Preserve element numbering in MSH2 format (will break meshes with multiple "
- "physical groups for a single elementary entity)"},
- { F|O, "IgnoreParametrization" , opt_mesh_ignore_parametrization, 0. ,
- "Skip parametrization section when reading meshes in the MSH4 format." },
- { F|O, "IgnorePeriodicity" , opt_mesh_ignore_periodicity , 1. ,
- "Skip periodic node section and skip periodic boundary alignement step when "
- "reading meshes in the MSH2 format." },
+
+
+ { F|O, "ReadGroupsOfElements" , opt_mesh_read_groups_of_elements , 1. ,
+ "Read groups of elements in UNV meshes (this will discard the elementary "
+ "entity tags inferred from the element section)"},
#if defined(HAVE_BLOSSOM)
{ F|O, "RecombinationAlgorithm" , opt_mesh_algo_recombine , 1 ,
#else
@@ -1434,6 +1451,8 @@ StringXNumber MeshOptions_Number[] = {
"Number of refinement steps in the MeshAdapt-based 2D algorithms" },
{ F|O, "Renumber" , opt_mesh_renumber , 1 ,
"Renumber nodes and elements in a continuous sequence after mesh generation" },
+ { F|O, "ReparamMaxTriangles" , opt_mesh_reparam_max_triangles , 250000 ,
+ "Maximum number of triangles in a single parametrization patch" },
{ F, "SaveAll" , opt_mesh_save_all , 0. ,
"Save all elements, even if they don't belong to physical groups (for some "
@@ -1446,7 +1465,7 @@ StringXNumber MeshOptions_Number[] = {
{ F|O, "SaveParametric" , opt_mesh_save_parametric , 0. ,
"Save parametric coordinates of nodes" },
{ F|O, "SaveGroupsOfElements" , opt_mesh_save_groups_of_elements , 1. ,
- "Save groups of elements for each physical group (for INP mesh format)" },
+ "Save groups of elements for each physical group (for UNV and INP mesh format)" },
{ F|O, "SaveGroupsOfNodes" , opt_mesh_save_groups_of_nodes , 0. ,
"Save groups of nodes for each physical group (for UNV, INP and Tochnog "
"mesh formats). For the INP format, a negative value will save a group of node "
diff --git a/Common/GmshConfig.h.in b/Common/GmshConfig.h.in
index b021061f91ea98f5db640a75f72cf1551a5ce44e..f96189c2eb6179d0084796aff656c3e97128ca00 100644
--- a/Common/GmshConfig.h.in
+++ b/Common/GmshConfig.h.in
@@ -64,6 +64,7 @@
#cmakedefine HAVE_POST
#cmakedefine HAVE_POPPLER
#cmakedefine HAVE_QUADTRI
+#cmakedefine HAVE_QUADMESHINGTOOLS
#cmakedefine HAVE_REVOROPT
#cmakedefine HAVE_SALOME
#cmakedefine HAVE_SGEOM
diff --git a/Common/GmshDefines.h b/Common/GmshDefines.h
index 47d900278fa45264efdb697ec3d7aa0f7f5ae3ae..aa55f2f95230a36bcac0697b348220d577ce16d4 100644
--- a/Common/GmshDefines.h
+++ b/Common/GmshDefines.h
@@ -241,6 +241,7 @@
#define ALGO_2D_FRONTAL_QUAD 8
#define ALGO_2D_PACK_PRLGRMS 9
#define ALGO_2D_PACK_PRLGRMS_CSTR 10
+#define ALGO_2D_QUAD_QUASI_STRUCT 11
// 3D meshing algorithms (numbers should not be changed)
#define ALGO_3D_DELAUNAY 1
diff --git a/Common/GmshMessage.cpp b/Common/GmshMessage.cpp
index 9a8b3ddfad5473ea12f9666ddd15aae1882c3ebc..02f09aed2b41f0c03f349ee1e7ae5a9dd7aa1b3a 100644
--- a/Common/GmshMessage.cpp
+++ b/Common/GmshMessage.cpp
@@ -1296,6 +1296,22 @@ static void _setStandardOptions(onelab::parameter *p,
p->setAttribute("AutoCheck", fopt["AutoCheck"][0] ? "1" : "0");
}
+static void _setOtherAttributes(onelab::parameter *p,
+ std::map<std::string, std::vector<std::string> > &copt)
+{
+ for(auto it = copt.begin(); it != copt.end(); it++)
+ if(p->getAttribute(it->first).empty() &&
+ it->first.compare("Name") &&
+ it->first.compare("Label") &&
+ it->first.compare("ShortHelp") &&
+ it->first.compare("Help") &&
+ it->first.compare("Visible") &&
+ it->first.compare("ReadOnly") &&
+ it->first.compare("NeverChanged") &&
+ it->first.compare("ChangedValue")) // Attribute 'it' was not already set
+ p->setAttribute(it->first, it->second[0]);
+}
+
static std::string _getParameterName(const std::string &key,
std::map<std::string, std::vector<std::string> > &copt)
{
@@ -1419,6 +1435,7 @@ void Msg::ExchangeOnelabParameter(const std::string &key,
if(copt.count("NumberFormat"))
ps[0].setAttribute("NumberFormat", copt["NumberFormat"][0]);
_setStandardOptions(&ps[0], fopt, copt);
+ _setOtherAttributes(&ps[0], copt);
_onelabClient->set(ps[0]);
#endif
}
@@ -1475,6 +1492,7 @@ void Msg::ExchangeOnelabParameter(const std::string &key,
if(noMultipleSelection && copt.count("MultipleSelection"))
ps[0].setAttribute("MultipleSelection", copt["MultipleSelection"][0]);
_setStandardOptions(&ps[0], fopt, copt);
+ _setOtherAttributes(&ps[0], copt);
_onelabClient->set(ps[0]);
#endif
}
diff --git a/Common/OS.cpp b/Common/OS.cpp
index 15e9e9cd4184c06f6adefc4684d0732fcb0ae84e..2757ef00fc5942f2bed44647be6c2f612e290116 100644
--- a/Common/OS.cpp
+++ b/Common/OS.cpp
@@ -624,7 +624,7 @@ int SystemCallExe(const std::string &exe, const std::string &argsOrCommand,
}
if(!blocking) cmd += " &";
Msg::Info("Calling '%s'", cmd.c_str());
- if(!system(cmd.c_str())) return 1;
+ return system(cmd.c_str());
#endif
return 0;
}
diff --git a/Common/OctreeInternals.cpp b/Common/OctreeInternals.cpp
index 4f6a7c50898b2e13f2acbccb08aa6ffba34632d0..01a25b2e28e9844cca8ea363fe5b847eca1f3997 100644
--- a/Common/OctreeInternals.cpp
+++ b/Common/OctreeInternals.cpp
@@ -305,7 +305,8 @@ void *searchElement(octantBucket *_buckets_head, double *_pt,
ptrBucket = findElementBucket(_buckets_head, _pt);
if(ptrBucket == nullptr) {
// this is not an error
- Msg::Debug("Could not find point in octree");
+ // TODO RE ENABLE MSG
+ // Msg::Debug("Could not find point in octree (in search element)");
return nullptr;
}
@@ -397,7 +398,7 @@ void *searchAllElements(octantBucket *_buckets_head, double *_pt,
ptrBucket = findElementBucket(_buckets_head, _pt);
if(ptrBucket == nullptr) {
- Msg::Debug("Could not find point in octree");
+ Msg::Debug("Could not find point in octree (in search all elements)");
return nullptr;
}
diff --git a/Common/OpenFile.cpp b/Common/OpenFile.cpp
index 48df581ca4e399c210b74595b9c2d559c97e53e7..0689d2b04ff52eb3071a07db6e3898b683b9e9e6 100644
--- a/Common/OpenFile.cpp
+++ b/Common/OpenFile.cpp
@@ -387,7 +387,8 @@ int MergeFile(const std::string &fileName, bool errorIfMissing,
status = GModel::current()->readParasolidXMT(fileName);
}
else if(ext == ".unv" || ext == ".UNV") {
- status = GModel::current()->readUNV(fileName);
+ status = GModel::current()->readUNV
+ (fileName, CTX::instance()->mesh.readGroupsOfElements);
}
else if(ext == ".vtk" || ext == ".VTK") {
status = GModel::current()->readVTK(fileName, CTX::instance()->bigEndian);
diff --git a/Common/Options.cpp b/Common/Options.cpp
index 61a384decb7f99295e5df8eea618a646b83ef340..b0ba81367af14209baff6e2034ae340bd148bce6 100644
--- a/Common/Options.cpp
+++ b/Common/Options.cpp
@@ -5860,7 +5860,7 @@ double opt_mesh_algo2d(OPT_ARGS_NUM)
case ALGO_2D_FRONTAL_QUAD:
FlGui::instance()->options->mesh.choice[2]->value(5);
break;
- case ALGO_2D_PACK_PRLGRMS:
+ case ALGO_2D_QUAD_QUASI_STRUCT:
FlGui::instance()->options->mesh.choice[2]->value(6);
break;
case ALGO_2D_INITIAL_ONLY:
@@ -6305,6 +6305,12 @@ double opt_mesh_save_topology(OPT_ARGS_NUM)
return CTX::instance()->mesh.saveTopology;
}
+double opt_mesh_read_groups_of_elements(OPT_ARGS_NUM)
+{
+ if(action & GMSH_SET) CTX::instance()->mesh.readGroupsOfElements = (int)val;
+ return CTX::instance()->mesh.readGroupsOfElements;
+}
+
double opt_mesh_save_groups_of_elements(OPT_ARGS_NUM)
{
if(action & GMSH_SET) CTX::instance()->mesh.saveGroupsOfElements = (int)val;
@@ -6568,6 +6574,17 @@ double opt_mesh_ignore_parametrization(OPT_ARGS_NUM)
return CTX::instance()->mesh.ignoreParametrizationMsh4;
}
+double opt_mesh_quadqs_sizemap_method(OPT_ARGS_NUM)
+{
+ if(action & GMSH_SET) CTX::instance()->mesh.quadqsSizemapMethod = (int)val;
+ return CTX::instance()->mesh.quadqsSizemapMethod;
+}
+
+double opt_mesh_quadqs_topo_optim_methods(OPT_ARGS_NUM) {
+ if(action & GMSH_SET) CTX::instance()->mesh.quadqsTopoOptimMethods = (int)val;
+ return CTX::instance()->mesh.quadqsTopoOptimMethods;
+}
+
double opt_solver_listen(OPT_ARGS_NUM)
{
if(action & GMSH_SET) CTX::instance()->solver.listen = (int)val;
diff --git a/Common/Options.h b/Common/Options.h
index fa7045813cc227224430cd70e5d33cb89721a2e3..59c0feb7df70309f0092e7f61c86e5d668dd840a 100644
--- a/Common/Options.h
+++ b/Common/Options.h
@@ -574,6 +574,7 @@ double opt_mesh_save_all(OPT_ARGS_NUM);
double opt_mesh_save_element_tag_type(OPT_ARGS_NUM);
double opt_mesh_save_parametric(OPT_ARGS_NUM);
double opt_mesh_save_topology(OPT_ARGS_NUM);
+double opt_mesh_read_groups_of_elements(OPT_ARGS_NUM);
double opt_mesh_save_groups_of_elements(OPT_ARGS_NUM);
double opt_mesh_save_groups_of_nodes(OPT_ARGS_NUM);
double opt_mesh_color_carousel(OPT_ARGS_NUM);
@@ -603,6 +604,8 @@ double opt_mesh_renumber(OPT_ARGS_NUM);
double opt_mesh_unv_strict_format(OPT_ARGS_NUM);
double opt_mesh_reparam_max_triangles(OPT_ARGS_NUM);
double opt_mesh_ignore_parametrization(OPT_ARGS_NUM);
+double opt_mesh_quadqs_sizemap_method(OPT_ARGS_NUM);
+double opt_mesh_quadqs_topo_optim_methods(OPT_ARGS_NUM);
double opt_solver_listen(OPT_ARGS_NUM);
double opt_solver_timeout(OPT_ARGS_NUM);
double opt_solver_plugins(OPT_ARGS_NUM);
diff --git a/Common/libol1.c b/Common/libol1.c
new file mode 100644
index 0000000000000000000000000000000000000000..19bc6136b5476d3c39f107f7600b85995bda7e3c
--- /dev/null
+++ b/Common/libol1.c
@@ -0,0 +1,3060 @@
+// All libOL code is Copyright 2012-2018 - by Loïc Maréchal / INRIA.
+// This program is a free software.
+// You can redistribute it and/or modify it under the terms of the MIT License
+// as published by the Open Source Initiative.
+//
+// This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY;
+// without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
+// See the MIT License for more details.
+//
+// You should have received a copy of the MIT License along with this program
+// as the file LICENSE.txt; if not, please see:
+// https://opensource.org/licenses/MIT
+//
+//
+// MIT License
+//
+// Copyright (c) 2012-2018 Loïc Maréchal / INRIA
+//
+// Permission is hereby granted, free of charge, to any person obtaining a copy
+// of this software and associated documentation files (the "Software"), to deal
+// in the Software without restriction, including without limitation the rights
+// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the Software is
+// furnished to do so, subject to the following conditions:
+//
+// The above copyright notice and this permission notice shall be included in all
+// copies or substantial portions of the Software.
+//
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+// SOFTWARE.
+
+
+/*----------------------------------------------------------------------------*/
+/* */
+/* LIB OCTREE LOCALISATION V1.70 */
+/* */
+/*----------------------------------------------------------------------------*/
+/* */
+/* Description: Octree for mesh localization */
+/* Author: Loic MARECHAL */
+/* Creation date: mar 16 2012 */
+/* Last modification: feb 03 2021 */
+/* */
+/*----------------------------------------------------------------------------*/
+
+
+/*----------------------------------------------------------------------------*/
+/* ANSI C headers */
+/*----------------------------------------------------------------------------*/
+
+#include <assert.h>
+#include <fcntl.h>
+#include <limits.h>
+#include <float.h>
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <stdint.h>
+#include "libol1.h"
+
+
+/*----------------------------------------------------------------------------*/
+/* Defines and macros */
+/*----------------------------------------------------------------------------*/
+
+#define MaxItmOct 20
+#define MaxOctLvl 10
+#define MinGrdLvl 5
+#define ItmPerBuc 100
+#define MemBlkSiz 100000
+#define TngFlg 1
+#define AniFlg 2
+#define MaxThr 256
+#define MIN(a,b) ((a) < (b) ? (a) : (b))
+#define MAX(a,b) ((a) > (b) ? (a) : (b))
+#define POW(a) ((a)*(a))
+#define CUB(a) ((a)*(a)*(a))
+
+
+/*----------------------------------------------------------------------------*/
+/* Local structures */
+/*----------------------------------------------------------------------------*/
+
+typedef struct
+{
+ itg idx;
+ fpn crd[3];
+}VerSct;
+
+typedef struct
+{
+ VerSct *ver[2];
+ fpn tng[3], siz;
+ itg idx;
+}EdgSct;
+
+typedef struct
+{
+ EdgSct edg[3];
+ VerSct *ver[3];
+ fpn nrm[3];
+ itg idx;
+ float ani;
+}TriSct;
+
+typedef struct
+{
+ VerSct *ver[4];
+ EdgSct edg[4];
+ TriSct tri[2];
+ fpn nrm[3];
+ itg idx;
+}QadSct;
+
+typedef struct
+{
+ VerSct *ver[4];
+ EdgSct edg[6];
+ TriSct tri[4];
+ itg idx;
+ float ani;
+}TetSct;
+
+typedef struct
+{
+ VerSct *ver[5];
+ EdgSct edg[8];
+ TriSct tri[5][2];
+ itg idx;
+}PyrSct;
+
+typedef struct
+{
+ VerSct *ver[6];
+ EdgSct edg[9];
+ TriSct tri[5][2];
+ itg idx;
+}PriSct;
+
+typedef struct
+{
+ VerSct *ver[8];
+ EdgSct edg[12];
+ QadSct qad[6];
+ itg idx;
+}HexSct;
+
+typedef struct LnkSctPtr
+{
+ itg typ, idx;
+ struct LnkSctPtr *nex;
+}LnkSct;
+
+typedef struct MemSctPtr
+{
+ size_t siz;
+ void *adr;
+ struct MemSctPtr *nex;
+}MemSct;
+
+typedef struct
+{
+ VerSct ver[8], BakVer[8];
+ EdgSct edg, BakEdg;
+ TriSct tri, BakTri;
+ QadSct qad, BakQad;
+ TetSct tet, BakTet;
+ PyrSct pyr, BakPyr;
+ PriSct pri, BakPri;
+ HexSct hex, BakHex;
+ char *FlgTab;
+ itg *TagTab, tag;
+}MshThrSct;
+
+typedef struct
+{
+ MshThrSct thr[ MaxThr ];
+ size_t UsrSiz[ LolNmbTyp ], NmbItm[ LolNmbTyp ];
+ fpn aniso, eps;
+ itg BasIdx;
+ char *UsrPtr[ LolNmbTyp ];
+}MshSct;
+
+typedef struct OctSctPtr
+{
+ union
+ {
+ LnkSct *lnk;
+ struct OctSctPtr *son;
+ };
+ unsigned char NmbVer, NmbEdg, NmbFac, NmbVol, lvl, sub, ani, MaxItm;
+}OctSct;
+
+typedef struct
+{
+ OctSct *oct;
+ itg idx;
+ char pos[3];
+}BucSct;
+
+typedef struct
+{
+ VerSct ver[8];
+ HexSct hex;
+ itg tag, *ThrTag;
+ BucSct **ThrStk;
+}OctThrSct;
+
+typedef struct
+{
+ OctThrSct thr[ MaxThr ];
+ itg MaxLvl, NmbFreOct, NmbOct, GrdLvl, NmbBuc, NmbThr;
+ size_t MemUse;
+ fpn eps, MaxSiz, MinSiz, BucSiz, bnd[2][3];
+ OctSct oct, *CurOctBlk;
+ BucSct *grd;
+ LnkSct *NexFreLnk;
+ MemSct *NexMem;
+ MshSct *msh;
+}TreSct;
+
+
+/*----------------------------------------------------------------------------*/
+/* Prototypes of octree procedures */
+/*----------------------------------------------------------------------------*/
+
+static void SetMshBox (TreSct *, MshSct *);
+static void AddVer (MshSct *, TreSct *, OctSct *, fpn *, fpn *);
+static void AddEdg (MshSct *, TreSct *, OctSct *, fpn *, fpn *);
+static void AddTri (MshSct *, TreSct *, OctSct *, fpn *, fpn *);
+static void AddQad (MshSct *, TreSct *, OctSct *, fpn *, fpn *);
+static void AddTet (MshSct *, TreSct *, OctSct *, fpn *, fpn *);
+static void SubOct (MshSct *, TreSct *, OctSct *, fpn *, fpn *);
+static void LnkItm (TreSct *, OctSct *, itg, itg, char);
+static OctSct *GetCrd (OctSct *, itg, fpn *, fpn *, fpn *);
+static void GetBox (TreSct *, OctSct *, itg, itg *, itg, itg *,
+ char *, fpn [2][3], fpn, fpn *, fpn *, itg );
+static itg BoxIntBox (fpn [2][3], fpn [2][3], fpn);
+static void SetItm (MshSct *, itg, itg, itg, itg);
+static void AniTri (MshSct *, itg);
+static void SetSonCrd (itg, fpn *, fpn *, fpn *, fpn *);
+static void GetOctLnk (MshSct *, itg, fpn *, itg *, fpn *, OctSct *,
+ fpn *, fpn *, itg (void *, itg), void *, itg);
+static void IntRayOct (TreSct *, MshSct *, fpn *, fpn *, itg *, fpn *,
+ OctSct *, fpn *, fpn *, itg (void *, itg), void *,
+ itg);
+static void GetBucBox (TreSct *, BucSct *, fpn *, fpn *);
+static BucSct *GetBucNgb (TreSct *, BucSct *, itg);
+static fpn DisVerOct (fpn *, fpn *, fpn *);
+static itg VerInsOct (fpn *, fpn *, fpn *);
+static char *GetPtrItm (MshSct *, itg, itg);
+static void BakMshItm (MshSct *);
+static void RstMshItm (MshSct *);
+
+
+/*----------------------------------------------------------------------------*/
+/* Prototypes of meshing procedures */
+/*----------------------------------------------------------------------------*/
+
+static itg EdgIntEdg (EdgSct *, EdgSct *, VerSct *, fpn);
+static fpn DisVerTri (MshSct *, fpn *, TriSct *);
+static fpn DisVerQad (MshSct *, fpn *, QadSct *);
+static fpn DisVerTet (MshSct *, fpn *, TetSct *);
+static fpn GetTriSrf (TriSct *);
+static fpn GetVolTet (TetSct *);
+static fpn DisVerEdg (fpn *, EdgSct *);
+static void GetTriVec (TriSct *, fpn *);
+static void SetTriNrm (TriSct *);
+static void SetTmpHex (HexSct *, fpn *, fpn *);
+static itg VerInsTet (VerSct *, TetSct *, fpn);
+static itg VerInsHex (VerSct *, HexSct *);
+static itg EdgIntHex (EdgSct *, HexSct *, fpn);
+static itg TriIntHex (TriSct *, HexSct *, fpn);
+static itg QadIntHex (QadSct *, HexSct *, fpn);
+static itg TetIntHex (TetSct *, HexSct *, fpn);
+static itg EdgIntQad (HexSct *, itg, EdgSct *, VerSct *, fpn);
+static itg EdgIntTri (TriSct *, EdgSct *, VerSct *, fpn);
+static itg VerInsTri (TriSct *, VerSct *, fpn);
+static itg VerInsEdg (EdgSct *, VerSct *, fpn);
+static void SetEdgTng (EdgSct *);
+static fpn GetTriAni (TriSct *);
+
+
+/*----------------------------------------------------------------------------*/
+/* Prototypes of geometric procedures */
+/*----------------------------------------------------------------------------*/
+
+static void PrjVerLin (fpn *, fpn *, fpn *, fpn *);
+static fpn PrjVerPla (fpn *, fpn *, fpn *, fpn *);
+static void LinCmbVec3 (fpn, fpn *, fpn, fpn *, fpn *);
+static void ClrVec (fpn *);
+static void CpyVec (fpn *, fpn *);
+static void AddVec2 (fpn *, fpn *);
+static void SubVec2 (fpn *, fpn *);
+static void SubVec3 (fpn *, fpn *, fpn *);
+static void AddScaVec1 (fpn, fpn *);
+static void AddScaVec2 (fpn, fpn *, fpn *);
+static void MulVec1 (fpn, fpn *);
+static void MulVec2 (fpn, fpn *, fpn *);
+static void NrmVec (fpn *);
+static void CrsPrd (fpn *, fpn *, fpn *);
+static fpn DotPrd (fpn *, fpn *);
+static fpn dis (fpn *, fpn *);
+static fpn DisPow (fpn *, fpn *);
+static fpn DisVerPla (fpn *, fpn *, fpn *);
+static fpn GetNrmVec (fpn *);
+static fpn VerInsBox (fpn *, fpn *, fpn *, fpn);
+static itg LinIntBox (fpn *, fpn *, fpn *, fpn *, fpn);
+static void LinIntPla (fpn *, fpn *, fpn *, fpn *, fpn *);
+
+
+/*----------------------------------------------------------------------------*/
+/* Prototypes of memory handling procedures */
+/*----------------------------------------------------------------------------*/
+
+static void *NewMem (TreSct *, size_t);
+static void FreAllMem (TreSct *);
+
+
+/*----------------------------------------------------------------------------*/
+/* Local mesh connectivity tables */
+/*----------------------------------------------------------------------------*/
+
+static const itg TetEdg[6][2] = { {0,1}, {0,2}, {0,3}, {1,2}, {1,3}, {2,3} };
+static const itg TetFac[4][3] = { {1,2,3}, {2,0,3}, {3,0,1}, {0,2,1} };
+static const itg TetFacEdg[4][3] = { {5,4,3}, {2,5,1}, {0,4,2}, {3,1,0} };
+static const itg tvpe[12][2] = { {3,2}, {0,1}, {4,5}, {7,6}, {3,7}, {2,6},
+ {1,5}, {0,4}, {3,0}, {7,4}, {6,5}, {2,1} };
+static const itg tvpf[6][4] = { {3,0,4,7}, {5,1,2,6}, {3,2,1,0},
+ {5,6,7,4},{3,7,6,2}, {5,4,0,1} };
+
+
+/*----------------------------------------------------------------------------*/
+/* Allocate and build a new octree from user's data */
+/*----------------------------------------------------------------------------*/
+
+int64_t LolNewOctree(itg NmbVer, fpn *PtrCrd1, fpn *PtrCrd2,
+ itg NmbEdg, itg *PtrEdg1, itg *PtrEdg2,
+ itg NmbTri, itg *PtrTri1, itg *PtrTri2,
+ itg NmbQad, itg *PtrQad1, itg *PtrQad2,
+ itg NmbTet, itg *PtrTet1, itg *PtrTet2,
+ itg NmbPyr, itg *PtrPyr1, itg *PtrPyr2,
+ itg NmbPri, itg *PtrPri1, itg *PtrPri2,
+ itg NmbHex, itg *PtrHex1, itg *PtrHex2,
+ itg BasIdx, itg NmbThr)
+{
+ itg i, j, k, t, EdgIdx, TotItmCnt = 0, MaxItmCnt, idx = 0;
+ fpn crd[3];
+ BucSct *buc;
+ TreSct *tre = NULL;
+ MshSct *msh;
+ OctThrSct *OctThr;
+ MshThrSct *MshThr;
+
+ // Make sure we have a vertex table and a valid base index (0 or 1)
+ if(!NmbVer || !PtrCrd1 || !PtrCrd2 || (BasIdx < 0) || (BasIdx > 1) )
+ return(0);
+
+ NmbThr = MAX(NmbThr, 1);
+ NmbThr = MIN(NmbThr, MaxThr);
+ MaxItmCnt = NmbVer;
+
+ // Setup a single octant octree
+ tre = calloc(1, sizeof(TreSct));
+ assert(tre);
+
+ // Setup the mesh structure
+ msh = NewMem(tre, sizeof(MshSct));
+ msh->BasIdx = BasIdx;
+
+ msh->NmbItm[ LolTypVer ] = NmbVer;
+ TotItmCnt += NmbVer;
+ msh->UsrPtr[ LolTypVer ] = (char *)PtrCrd1;
+ msh->UsrSiz[ LolTypVer ] = (char *)PtrCrd2 - (char *)PtrCrd1;
+
+ msh->NmbItm[ LolTypEdg ] = NmbEdg;
+ MaxItmCnt = MAX(MaxItmCnt, NmbEdg);
+ TotItmCnt += NmbEdg;
+ msh->UsrPtr[ LolTypEdg ] = (char *)PtrEdg1;
+ msh->UsrSiz[ LolTypEdg ] = (char *)PtrEdg2 - (char *)PtrEdg1;
+
+ msh->NmbItm[ LolTypTri ] = NmbTri;
+ MaxItmCnt = MAX(MaxItmCnt, NmbTri);
+ TotItmCnt += NmbTri;
+ msh->UsrPtr[ LolTypTri ] = (char *)PtrTri1;
+ msh->UsrSiz[ LolTypTri ] = (char *)PtrTri2 - (char *)PtrTri1;
+
+ msh->NmbItm[ LolTypQad ] = NmbQad;
+ MaxItmCnt = MAX(MaxItmCnt, NmbQad);
+ TotItmCnt += NmbQad;
+ msh->UsrPtr[ LolTypQad ] = (char *)PtrQad1;
+ msh->UsrSiz[ LolTypQad ] = (char *)PtrQad2 - (char *)PtrQad1;
+
+ msh->NmbItm[ LolTypTet ] = NmbTet;
+ MaxItmCnt = MAX(MaxItmCnt, NmbTet);
+ TotItmCnt += NmbTet;
+ msh->UsrPtr[ LolTypTet ] = (char *)PtrTet1;
+ msh->UsrSiz[ LolTypTet ] = (char *)PtrTet2 - (char *)PtrTet1;
+
+ for(t=0;t<NmbThr;t++)
+ {
+ MshThr = &msh->thr[t];
+
+ MshThr->FlgTab = NewMem(tre, (MaxItmCnt + 1) * sizeof(char) );
+ memset(MshThr->FlgTab, 0, (MaxItmCnt + 1) * sizeof(char));
+
+ MshThr->TagTab = NewMem(tre, (MaxItmCnt + 1) * sizeof(itg) );
+ memset(MshThr->TagTab, 0, (MaxItmCnt + 1) * sizeof(itg));
+
+ MshThr->tag = 0;
+ }
+
+ // Setup the octree structure
+ SetMshBox(tre, msh);
+ tre->msh = msh;
+ msh->eps = tre->eps;
+
+ // Set the grid size depending on the number of entities in the mesh
+ tre->GrdLvl = MAX(MinGrdLvl, log((TotItmCnt) / ItmPerBuc) / (3 * log(2)));
+ tre->NmbBuc = 1<<tre->GrdLvl;
+ tre->grd = NewMem(tre, CUB(tre->NmbBuc) * sizeof(BucSct));
+ tre->NmbThr = NmbThr;
+
+ for(t=0;t<NmbThr;t++)
+ {
+ MshThr = &msh->thr[t];
+ OctThr = &tre->thr[t];
+
+ OctThr->ThrStk = NewMem(tre, CUB(tre->NmbBuc) * sizeof(void *));
+ OctThr->ThrTag = NewMem(tre, CUB(tre->NmbBuc) * sizeof(itg));
+
+ // Setup the temporary edge for local geometric calculations
+ for(i=0;i<2;i++)
+ MshThr->edg.ver[i] = &MshThr->ver[i];
+
+ // Setup the temporary triangle for local geometric calculations
+ for(i=0;i<3;i++)
+ {
+ MshThr->tri.ver[i] = &MshThr->ver[i];
+ MshThr->tri.edg[i].ver[0] = &MshThr->ver[ (i+1)%3 ];
+ MshThr->tri.edg[i].ver[1] = &MshThr->ver[ (i+2)%3 ];
+ }
+
+ // Setup the temporary quad for local geometric calculations
+ for(i=0;i<4;i++)
+ {
+ MshThr->qad.ver[i] = &MshThr->ver[i];
+ MshThr->qad.edg[i].ver[0] = &MshThr->ver[ i ];
+ MshThr->qad.edg[i].ver[1] = &MshThr->ver[ (i+1)%4 ];
+ }
+
+ // The quad is made of two triangles
+ MshThr->qad.tri[0].ver[0] = &MshThr->ver[0];
+ MshThr->qad.tri[0].ver[1] = &MshThr->ver[1];
+ MshThr->qad.tri[0].ver[2] = &MshThr->ver[2];
+
+ MshThr->qad.tri[1].ver[0] = &MshThr->ver[3];
+ MshThr->qad.tri[1].ver[1] = &MshThr->ver[2];
+ MshThr->qad.tri[1].ver[2] = &MshThr->ver[1];
+
+ for(i=0;i<2;i++)
+ for(j=0;j<3;j++)
+ {
+ MshThr->qad.tri[i].edg[j].ver[0] = MshThr->qad.tri[i].ver[ (j+1)%3 ];
+ MshThr->qad.tri[i].edg[j].ver[1] = MshThr->qad.tri[i].ver[ (j+2)%3 ];
+ }
+
+ // Setup the temporary tetrahedron for local geometric calculations
+ for(i=0;i<4;i++)
+ MshThr->tet.ver[i] = &MshThr->ver[i];
+
+ for(i=0;i<4;i++)
+ {
+ for(j=0;j<3;j++)
+ MshThr->tet.tri[i].ver[j] = MshThr->tet.ver[ TetFac[i][j] ];
+
+ for(j=0;j<3;j++)
+ {
+ EdgIdx = TetFacEdg[i][j];
+ MshThr->tet.tri[i].edg[j].ver[0] = MshThr->tet.ver[ TetEdg[ EdgIdx ][0] ];
+ MshThr->tet.tri[i].edg[j].ver[1] = MshThr->tet.ver[ TetEdg[ EdgIdx ][1] ];
+ }
+ }
+
+ for(i=0;i<6;i++)
+ for(j=0;j<2;j++)
+ MshThr->tet.edg[i].ver[j] = MshThr->tet.ver[ TetEdg[i][j] ];
+
+ // Setup the temporary hex for local geometric calculations
+ for(i=0;i<8;i++)
+ OctThr->hex.ver[i] = &OctThr->ver[i];
+
+ for(i=0;i<12;i++)
+ {
+ OctThr->hex.edg[i].ver[0] = &OctThr->ver[ tvpe[i][0] ];
+ OctThr->hex.edg[i].ver[1] = &OctThr->ver[ tvpe[i][1] ];
+ }
+
+ for(i=0;i<6;i++)
+ for(j=0;j<4;j++)
+ OctThr->hex.qad[i].ver[j] = &OctThr->ver[ tvpf[i][j] ];
+
+ for(i=0;i<4;i++)
+ {
+ OctThr->hex.edg[i].tng[0] = 1;
+ OctThr->hex.edg[i].tng[1] = 0;
+ OctThr->hex.edg[i].tng[2] = 0;
+
+ OctThr->hex.edg[i+4].tng[0] = 0;
+ OctThr->hex.edg[i+4].tng[1] = 1;
+ OctThr->hex.edg[i+4].tng[2] = 0;
+
+ OctThr->hex.edg[i+8].tng[0] = 0;
+ OctThr->hex.edg[i+8].tng[1] = 0;
+ OctThr->hex.edg[i+8].tng[2] = 1;
+ }
+
+ OctThr->hex.qad[0].nrm[0] = 1;
+ OctThr->hex.qad[0].nrm[1] = 0;
+ OctThr->hex.qad[0].nrm[2] = 0;
+
+ OctThr->hex.qad[1].nrm[0] = -1;
+ OctThr->hex.qad[1].nrm[1] = 0;
+ OctThr->hex.qad[1].nrm[2] = 0;
+
+ OctThr->hex.qad[2].nrm[0] = 0;
+ OctThr->hex.qad[2].nrm[1] = 1;
+ OctThr->hex.qad[2].nrm[2] = 0;
+
+ OctThr->hex.qad[3].nrm[0] = 0;
+ OctThr->hex.qad[3].nrm[1] = -1;
+ OctThr->hex.qad[3].nrm[2] = 0;
+
+ OctThr->hex.qad[4].nrm[0] = 0;
+ OctThr->hex.qad[4].nrm[1] = 0;
+ OctThr->hex.qad[4].nrm[2] = 1;
+
+ OctThr->hex.qad[5].nrm[0] = 0;
+ OctThr->hex.qad[5].nrm[1] = 0;
+ OctThr->hex.qad[5].nrm[2] = -1;
+ }
+
+ // Insert each vertex in the octree
+ for(i=0;i<msh->NmbItm[ LolTypVer ];i++)
+ {
+ SetItm(msh, LolTypVer, i + BasIdx, 0, 0);
+ AddVer(msh, tre, &tre->oct, tre->bnd[0], tre->bnd[1]);
+ }
+
+ // Insert each edge in the octree
+ for(i=0;i<msh->NmbItm[ LolTypEdg ];i++)
+ {
+ SetItm(msh, LolTypEdg, i + BasIdx, 0, 0);
+ AddEdg(msh, tre, &tre->oct, tre->bnd[0], tre->bnd[1]);
+ }
+
+ // Insert each triangle in the octree
+ for(i=0;i<msh->NmbItm[ LolTypTri ];i++)
+ {
+ SetItm(msh, LolTypTri, i + BasIdx, TngFlg | AniFlg, 0);
+ AddTri(msh, tre, &tre->oct, tre->bnd[0], tre->bnd[1]);
+ }
+
+ // Insert each quad in the octree
+ for(i=0;i<msh->NmbItm[ LolTypQad ];i++)
+ {
+ SetItm(msh, LolTypQad, i + BasIdx, TngFlg | AniFlg, 0);
+ AddQad(msh, tre, &tre->oct, tre->bnd[0], tre->bnd[1]);
+ }
+
+ // Insert each tetrahedron in the octree
+ for(i=0;i<msh->NmbItm[ LolTypTet ];i++)
+ {
+ SetItm(msh, LolTypTet, i + BasIdx, TngFlg, 0);
+ AddTet(msh, tre, &tre->oct, tre->bnd[0], tre->bnd[1]);
+ }
+
+ // Setup an acceleration grid whose buckets point to an octant
+ tre->BucSiz = (tre->bnd[1][0] - tre->bnd[0][0]) / (fpn)tre->NmbBuc;
+ crd[0] = tre->bnd[0][0] + tre->BucSiz / 2.;
+
+ for(i=0;i<tre->NmbBuc;i++)
+ {
+ crd[1] = tre->bnd[0][1] + tre->BucSiz / 2.;
+
+ for(j=0;j<tre->NmbBuc;j++)
+ {
+ crd[2] = tre->bnd[0][2] + tre->BucSiz / 2.;
+
+ for(k=0;k<tre->NmbBuc;k++)
+ {
+ buc = &tre->grd[ i * POW(tre->NmbBuc) + j * tre->NmbBuc + k ];
+ buc->oct = GetCrd(&tre->oct, tre->GrdLvl,
+ crd, tre->bnd[0], tre->bnd[1]);
+ buc->pos[0] = i;
+ buc->pos[1] = j;
+ buc->pos[2] = k;
+ buc->idx = idx++;
+ crd[2] += tre->BucSiz;
+ }
+
+ crd[1] += tre->BucSiz;
+ }
+
+ crd[0] += tre->BucSiz;
+ }
+
+ // Return the octree's unique ID
+ return((int64_t)tre);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Free the octants and the links */
+/*----------------------------------------------------------------------------*/
+
+size_t LolFreeOctree(int64_t OctIdx)
+{
+ TreSct *tre = (TreSct *)OctIdx;
+ size_t MemUse = tre->MemUse;
+
+ FreAllMem(tre);
+ memset(tre, 0, sizeof(TreSct));
+
+ return(MemUse);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Search the octree for mesh entities included in this box */
+/*----------------------------------------------------------------------------*/
+
+itg LolGetBoundingBox( int64_t OctIdx, itg typ, itg MaxItm, itg *ItmTab,
+ fpn MinCrd[3], fpn MaxCrd[3], itg ThrIdx )
+{
+ itg i, NmbItm = 0;
+ fpn box[2][3] = { {MinCrd[0], MinCrd[1], MinCrd[2]},
+ {MaxCrd[0], MaxCrd[1], MaxCrd[2]} };
+ TreSct *tre = (TreSct *)OctIdx;
+
+ GetBox( tre, &tre->oct, typ, &NmbItm, MaxItm, ItmTab,
+ tre->msh->thr[ ThrIdx ].FlgTab, box, tre->eps,
+ tre->bnd[0], tre->bnd[1], ThrIdx );
+
+ for(i=0;i<NmbItm;i++)
+ tre->msh->thr[ ThrIdx ].FlgTab[ ItmTab[i] ] = 0;
+
+ return(NmbItm);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Recusrsive coordinates search */
+/*----------------------------------------------------------------------------*/
+
+static OctSct *GetCrd( OctSct *oct, itg MaxLvl, fpn VerCrd[3],
+ fpn MinCrd[3], fpn MaxCrd[3] )
+{
+ itg SonIdx;
+ fpn MidCrd[3], OctMin[3], OctMax[3], SonMin[3], SonMax[3];
+
+ CpyVec(MinCrd, OctMin);
+ CpyVec(MaxCrd, OctMax);
+
+ // Search for the smallest octant containing
+ // this vertex but stop at the grid level
+ while(oct->sub && (oct->lvl < MaxLvl))
+ {
+ LinCmbVec3(.5, OctMin, .5, OctMax, MidCrd);
+
+ SonIdx = ((VerCrd[0] < MidCrd[0]) ? 0 : 1)
+ | ((VerCrd[1] < MidCrd[1]) ? 0 : 2)
+ | ((VerCrd[2] < MidCrd[2]) ? 0 : 4);
+
+ SetSonCrd(SonIdx, SonMin, SonMax, OctMin, OctMax);
+ CpyVec(SonMin, OctMin);
+ CpyVec(SonMax, OctMax);
+ oct = oct->son + SonIdx;
+ }
+
+ return(oct);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Recusrsive box search */
+/*----------------------------------------------------------------------------*/
+
+static void GetBox( TreSct *tre, OctSct *oct, itg typ, itg *NmbItm,
+ itg MaxItm, itg *ItmTab, char *FlgTab, fpn box[2][3],
+ fpn eps, fpn MinCrd[3], fpn MaxCrd[3], itg ThrIdx )
+{
+ itg i;
+ LnkSct *lnk;
+ HexSct hex;
+ OctThrSct *ThrOct = &tre->thr[ ThrIdx ];
+ MshThrSct *ThrMsh = &tre->msh->thr[ ThrIdx ];
+ fpn xmid = (MinCrd[0] + MaxCrd[0])/2.;
+ fpn ymid = (MinCrd[1] + MaxCrd[1])/2.;
+ fpn zmid = (MinCrd[2] + MaxCrd[2])/2.;
+ fpn son[8][2][3] = {
+ { {MinCrd[0], MinCrd[1], MinCrd[2]}, {xmid, ymid, zmid} },
+ { {xmid, MinCrd[1], MinCrd[2]}, {MaxCrd[0], ymid, zmid} },
+ { {MinCrd[0], ymid, MinCrd[2]}, {xmid, MaxCrd[1], zmid} },
+ { {xmid, ymid, MinCrd[2]}, {MaxCrd[0], MaxCrd[1], zmid} },
+ { {MinCrd[0], MinCrd[1], zmid}, {xmid, ymid, MaxCrd[2]} },
+ { {xmid, MinCrd[1], zmid}, {MaxCrd[0], ymid, MaxCrd[2]} },
+ { {MinCrd[0], ymid, zmid}, {xmid, MaxCrd[1], MaxCrd[2]} },
+ { {xmid, ymid, zmid}, {MaxCrd[0], MaxCrd[1], MaxCrd[2]} } };
+
+ if(oct->sub)
+ {
+ // Recursively intersect the box with the octree
+ for(i=0;i<8;i++)
+ if(BoxIntBox(box, son[i], eps))
+ GetBox( tre, oct->son+i, typ, NmbItm, MaxItm, ItmTab,
+ FlgTab, box, eps, son[i][0], son[i][1], ThrIdx );
+ }
+ else if((lnk = oct->lnk) && (*NmbItm < MaxItm) )
+ {
+ SetTmpHex(&ThrOct->hex, box[0], box[1]);
+
+ // When a terminal octant is reached, add its linked entities
+ // to the table and flag them to avoid duplicates
+ do
+ {
+ if(lnk->typ != typ)
+ continue;
+
+ if(lnk->typ == LolTypVer)
+ {
+ SetItm(tre->msh, LolTypVer, lnk->idx, 0, ThrIdx);
+
+ if(!VerInsHex(&ThrMsh->ver[0], &ThrOct->hex))
+ continue;
+ }
+ else if(lnk->typ == LolTypEdg)
+ {
+ SetItm(tre->msh, LolTypEdg, lnk->idx, 0, ThrIdx);
+
+ if(!EdgIntHex(&ThrMsh->edg, &ThrOct->hex, tre->eps))
+ continue;
+ }
+ else if(lnk->typ == LolTypTri)
+ {
+ SetItm(tre->msh, LolTypTri, lnk->idx, TngFlg, ThrIdx);
+
+ if(!TriIntHex(&ThrMsh->tri, &ThrOct->hex, tre->eps))
+ continue;
+ }
+ else if(lnk->typ == LolTypQad)
+ {
+ SetItm(tre->msh, LolTypQad, lnk->idx, TngFlg, ThrIdx);
+
+ if(!QadIntHex(&ThrMsh->qad, &ThrOct->hex, tre->eps))
+ continue;
+ }
+ else if(lnk->typ == LolTypTet)
+ {
+ SetItm(tre->msh, LolTypTet, lnk->idx, TngFlg, ThrIdx);
+
+ if(!TetIntHex(&ThrMsh->tet, &ThrOct->hex, tre->eps))
+ continue;
+ }
+
+ if(!FlgTab[ lnk->idx ])
+ {
+ ItmTab[ (*NmbItm)++ ] = lnk->idx;
+ FlgTab[ lnk->idx ] = 1;
+ }
+ }while( (lnk = lnk->nex) && (*NmbItm < MaxItm) );
+ }
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Search for the nearest item from a vertex in the octree */
+/*----------------------------------------------------------------------------*/
+
+itg LolGetNearest(int64_t OctIdx, itg typ, fpn *VerCrd, fpn *MinDis, fpn MaxDis,
+ itg (UsrPrc)(void *, itg), void *UsrDat, itg ThrIdx)
+{
+ TreSct *tre = (TreSct *)OctIdx;
+ itg i, ins = 0, out = 0, MinItm = 0, ini[3], *tag, len;
+ fpn MinCrd[3], MaxCrd[3], vec[3];
+ MshSct *msh = tre->msh;
+ BucSct *IniBuc, *buc, *ngb, **stk;
+ OctThrSct *ThrOct = &tre->thr[ ThrIdx ];
+ MshThrSct *ThrMsh = &tre->msh->thr[ ThrIdx ];
+
+ if( (ThrIdx < 0) || (ThrIdx >= tre->NmbThr) )
+ return(0);
+
+ ThrOct->tag++;
+ ThrMsh->tag = ThrOct->tag;
+ tag = ThrOct->ThrTag;
+ stk = ThrOct->ThrStk;
+ len = tre->NmbBuc;
+ *MinDis = (MaxDis > 0.) ? POW(MaxDis) : DBL_MAX;
+
+ // Get the vertex's integer coordinates in the grid
+ // and clip it if it stands outside the bounding box
+ for(i=0;i<3;i++)
+ {
+ ini[i] = (VerCrd[i] - tre->bnd[0][i]) / tre->BucSiz;
+ ini[i] = MAX(0, ini[i]);
+ ini[i] = MIN(len-1, ini[i]);
+ }
+
+ IniBuc = &tre->grd[ ini[0] * POW(len) + ini[1] * len + ini[2] ];
+
+ // Push the octant containing the starting point on the lifo stack
+ stk[ ins++ ] = IniBuc;
+ tag[ IniBuc->idx ] = ThrOct->tag;
+
+ // Flood fill processing of the grid :
+ // check octant's contents distance against the closest item
+ while(ins > out)
+ {
+ buc = stk[ out++ ];
+ GetBucBox( tre, buc, MinCrd, MaxCrd );
+ GetOctLnk( msh, typ, VerCrd, &MinItm, MinDis, buc->oct,
+ MinCrd, MaxCrd, UsrPrc, UsrDat, ThrIdx );
+
+ // Push unprocessed neighbours on the stack as long as they are not too far
+ for(i=0;i<6;i++)
+ {
+ if( !(ngb = GetBucNgb(tre, buc, i)) || (tag[ ngb->idx ] == ThrOct->tag) )
+ continue;
+
+ GetBucBox(tre, ngb, MinCrd, MaxCrd);
+
+ if(DisVerOct(VerCrd, MinCrd, MaxCrd) < *MinDis)
+ {
+ stk[ ins++ ] = ngb;
+ tag[ ngb->idx ] = ThrOct->tag;
+ }
+ }
+ }
+
+ *MinDis = sqrt(*MinDis);
+
+ return(MinItm);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Find the closest intersected triangle along a line */
+/*----------------------------------------------------------------------------*/
+
+itg LolIntersectSurface(int64_t OctIdx, fpn *VerCrd, fpn *VerTng, fpn *MinDis,
+ fpn MaxDis, itg (UsrPrc)(void *, itg), void *UsrDat,
+ itg ThrIdx )
+{
+ TreSct *tre = (TreSct *)OctIdx;
+ OctThrSct *ThrOct = &tre->thr[ ThrIdx ];
+ MshThrSct *ThrMsh = &tre->msh->thr[ ThrIdx ];
+ itg i, ins=0, out=0, MinItm = 0, ini[3], *tag, len;
+ fpn MinCrd[3], MaxCrd[3], vec[3];
+ MshSct *msh = tre->msh;
+ BucSct *IniBuc, *buc, *ngb, **stk;
+
+ ThrOct->tag++;
+ ThrMsh->tag = ThrOct->tag;
+ tag = ThrOct->ThrTag;
+ stk = ThrOct->ThrStk;
+ len = tre->NmbBuc;
+ *MinDis = (MaxDis > 0.) ? POW(MaxDis) : DBL_MAX;
+
+ // Get the vertex's integer coordinates in the grid
+ // and clip it if it stands outside the bounding box
+ for(i=0;i<3;i++)
+ {
+ ini[i] = (VerCrd[i] - tre->bnd[0][i]) / tre->BucSiz;
+ ini[i] = MAX(0, ini[i]);
+ ini[i] = MIN(tre->NmbBuc-1, ini[i]);
+ }
+
+ IniBuc = &tre->grd[ ini[0] * POW(len) + ini[1] * len + ini[2] ];
+
+ // Push the octant containing the starting point on the lifo stack
+ stk[ ins++ ] = IniBuc;
+ tag[ IniBuc->idx ] = ThrOct->tag;
+
+ // Flood fill processing of the grid :
+ // check octant's contents distance against the closest item
+ while(ins > out)
+ {
+ buc = stk[ out++ ];
+ GetBucBox( tre, buc, MinCrd, MaxCrd);
+ IntRayOct( tre, msh, VerCrd, VerTng, &MinItm, MinDis, buc->oct,
+ MinCrd, MaxCrd, UsrPrc, UsrDat, ThrIdx );
+
+ // Push unprocessed neighbours intersected by the line
+ // on the stack as long as they are not too far
+ for(i=0;i<6;i++)
+ {
+ if( !(ngb = GetBucNgb(tre, buc, i)) || (tag[ ngb->idx ] == ThrOct->tag) )
+ continue;
+
+ GetBucBox(tre, ngb, MinCrd, MaxCrd);
+
+ if(!LinIntBox(VerCrd, VerTng, MinCrd, MaxCrd, tre->eps))
+ continue;
+
+ if(DisVerOct(VerCrd, MinCrd, MaxCrd) < *MinDis)
+ {
+ stk[ ins++ ] = ngb;
+ tag[ ngb->idx ] = ThrOct->tag;
+ }
+ }
+ }
+
+ *MinDis = sqrt(*MinDis);
+
+ return(MinItm);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Project a vertex on a given enitity: vertex, edge, triangle or quad */
+/*----------------------------------------------------------------------------*/
+
+itg LolProjectVertex(int64_t OctIdx, fpn *VerCrd, itg typ,
+ itg MinItm, fpn *MinCrd, itg ThrIdx)
+{
+ TreSct *tre = (TreSct *)OctIdx;
+ OctThrSct *ThrOct = &tre->thr[ ThrIdx ];
+ MshThrSct *ThrMsh = &tre->msh->thr[ ThrIdx ];
+ MshSct *msh = tre->msh;
+ VerSct TmpVer;
+ TriSct *tri;
+ itg i, EdgFlg = 0;
+ fpn CurDis, MinDis = DBL_MAX;
+
+ if(typ == LolTypVer)
+ {
+ // Vertex case, there is only one possible projection:
+ // the target vertex itself
+ CpyVec((fpn *)GetPtrItm(msh, LolTypVer, MinItm), MinCrd);
+ return(1);
+ }
+ else if(typ == LolTypEdg)
+ {
+ // Edge case, the closest position may be on the edge itself
+ SetItm(msh, LolTypEdg, MinItm, 0, ThrIdx);
+ PrjVerLin(VerCrd, ThrMsh->edg.ver[0]->crd, ThrMsh->edg.tng, TmpVer.crd);
+
+ if(VerInsEdg(&ThrMsh->edg, &TmpVer, tre->eps))
+ {
+ CpyVec(TmpVer.crd, MinCrd);
+ return(2);
+ }
+
+ // Or one of its two vertices
+ if(dis(VerCrd, ThrMsh->edg.ver[0]->crd) < dis(VerCrd, ThrMsh->edg.ver[1]->crd))
+ CpyVec(ThrMsh->edg.ver[0]->crd, MinCrd);
+ else
+ CpyVec(ThrMsh->edg.ver[1]->crd, MinCrd);
+
+ return(1);
+ }
+ else if(typ == LolTypTri)
+ {
+ // Triangle case, the closest position may be on the triangle itself
+ SetItm(msh, LolTypTri, MinItm, TngFlg, ThrIdx);
+ PrjVerPla(VerCrd, ThrMsh->tri.ver[0]->crd, ThrMsh->tri.nrm, TmpVer.crd);
+
+ if(VerInsTri(&ThrMsh->tri, &TmpVer, tre->eps))
+ {
+ CpyVec(TmpVer.crd, MinCrd);
+ return(3); // the closest projection is inside the triangle
+ }
+
+ // Or fall inside one of its three edges
+ for(i=0;i<3;i++)
+ {
+ PrjVerLin( VerCrd, ThrMsh->tri.edg[i].ver[0]->crd,
+ ThrMsh->tri.edg[i].tng, TmpVer.crd );
+
+ if(VerInsEdg(&ThrMsh->tri.edg[i], &TmpVer, tre->eps)
+ && (dis(VerCrd, TmpVer.crd) < MinDis) )
+ {
+ MinDis = dis(VerCrd, TmpVer.crd);
+ CpyVec(TmpVer.crd, MinCrd);
+ EdgFlg = 2;
+ }
+ }
+
+ // Or one of the three vertices
+ for(i=0;i<3;i++)
+ {
+ CurDis = dis(VerCrd, ThrMsh->tri.ver[i]->crd);
+
+ if(CurDis < MinDis)
+ {
+ MinDis = CurDis;
+ CpyVec(ThrMsh->tri.ver[i]->crd, MinCrd);
+ EdgFlg = 0;
+ }
+ }
+
+ if(EdgFlg)
+ return(2); // the closest projection is on an edge
+ else
+ return(1); // the closest projection is on a vertex
+ }
+ else if(typ == LolTypQad)
+ {
+ SetItm(msh, LolTypQad, MinItm, TngFlg, ThrIdx);
+
+ // Compute the projection on the two triangles
+ for(i=0;i<2;i++)
+ {
+ tri = &ThrMsh->qad.tri[i];
+ PrjVerPla(VerCrd, tri->ver[0]->crd, tri->nrm, TmpVer.crd);
+
+ if(VerInsTri(tri, &TmpVer, tre->eps))
+ {
+ CpyVec(TmpVer.crd, MinCrd);
+ return(3); // the closest projection is inside the quad
+ }
+ }
+
+ // Check the projections on the four edges
+ for(i=0;i<4;i++)
+ {
+ PrjVerLin( VerCrd, ThrMsh->qad.edg[i].ver[0]->crd,
+ ThrMsh->qad.edg[i].tng, TmpVer.crd );
+
+ if(VerInsEdg(&ThrMsh->qad.edg[i], &TmpVer, tre->eps)
+ && (dis(VerCrd, TmpVer.crd) < MinDis) )
+ {
+ MinDis = dis(VerCrd, TmpVer.crd);
+ CpyVec(TmpVer.crd, MinCrd);
+ EdgFlg = 2;
+ }
+ }
+
+ // Or one of the four vertices
+ for(i=0;i<4;i++)
+ {
+ CurDis = dis(VerCrd, ThrMsh->qad.ver[i]->crd);
+
+ if(CurDis < MinDis)
+ {
+ MinDis = CurDis;
+ CpyVec(ThrMsh->qad.ver[i]->crd, MinCrd);
+ EdgFlg = 0;
+ }
+ }
+
+ if(EdgFlg)
+ return(2); // the closest projection is on an edge
+ else
+ return(1); // the closest projection is on a vertex
+ }
+ else
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Extract the bounding box from a grid's bucket */
+/*----------------------------------------------------------------------------*/
+
+static void GetBucBox( TreSct *tre, BucSct *buc,
+ fpn MinCrd[3], fpn MaxCrd[3] )
+{
+ itg i;
+
+ for(i=0;i<3;i++)
+ {
+ MinCrd[i] = tre->bnd[0][i] + buc->pos[i] * tre->BucSiz;
+ MaxCrd[i] = tre->bnd[0][i] + (buc->pos[i]+1) * tre->BucSiz;
+ }
+
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Get a bucket's neighbour from the grid */
+/*----------------------------------------------------------------------------*/
+
+static BucSct *GetBucNgb(TreSct *tre, BucSct *buc, itg dir)
+{
+ if( (dir == 0) && (buc->pos[0] > 0) )
+ return(&tre->grd[ (buc->pos[0]-1) * POW(tre->NmbBuc)
+ + buc->pos[1] * tre->NmbBuc + buc->pos[2] ]);
+
+ if( (dir == 1) && (buc->pos[0] < tre->NmbBuc-1) )
+ return(&tre->grd[ (buc->pos[0]+1) * POW(tre->NmbBuc)
+ + buc->pos[1] * tre->NmbBuc + buc->pos[2] ]);
+
+ if( (dir == 2) && (buc->pos[1] > 0) )
+ return(&tre->grd[ buc->pos[0] * POW(tre->NmbBuc)
+ + (buc->pos[1]-1) * tre->NmbBuc + buc->pos[2] ]);
+
+ if( (dir == 3) && (buc->pos[1] < tre->NmbBuc-1) )
+ return(&tre->grd[ buc->pos[0] * POW(tre->NmbBuc)
+ + (buc->pos[1]+1) * tre->NmbBuc + buc->pos[2] ]);
+
+ if( (dir == 4) && (buc->pos[2] > 0) )
+ return(&tre->grd[ buc->pos[0] * POW(tre->NmbBuc)
+ + buc->pos[1] * tre->NmbBuc + buc->pos[2]-1 ]);
+
+ if( (dir == 5) && (buc->pos[2] < tre->NmbBuc-1) )
+ return(&tre->grd[ buc->pos[0] * POW(tre->NmbBuc)
+ + buc->pos[1] * tre->NmbBuc + buc->pos[2]+1 ]);
+
+ return(NULL);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute the distance between a point and an octant */
+/*----------------------------------------------------------------------------*/
+
+static fpn DisVerOct(fpn VerCrd[3], fpn MinCrd[3], fpn MaxCrd[3])
+{
+ itg i;
+ fpn ClpCrd[3];
+
+ // Project the vertex on the octant's surface
+ for(i=0;i<3;i++)
+ {
+ ClpCrd[i] = MAX(VerCrd[i], MinCrd[i]);
+ ClpCrd[i] = MIN(ClpCrd[i], MaxCrd[i]);
+ }
+
+ // The distance between the projection and the vertex is the shortest
+ // if this latter stands OUTSIDE the octant
+ return(DisPow(ClpCrd, VerCrd));
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Search for the nearest item from a vertex from an octant */
+/*----------------------------------------------------------------------------*/
+
+static void GetOctLnk( MshSct *msh, itg typ, fpn VerCrd[3], itg *MinItm,
+ fpn *MinDis, OctSct *oct, fpn MinCrd[3], fpn MaxCrd[3],
+ itg (UsrPrc)(void *, itg), void *UsrDat, itg ThrIdx )
+{
+ itg i, *IdxTab;
+ fpn CurDis, SonMin[3], SonMax[3];
+ LnkSct *lnk;
+ MshThrSct *ThrMsh = &msh->thr[ ThrIdx ];
+
+ if(oct->sub)
+ {
+ // Check each sons recursively as long as the minimum distance
+ // between the vertex and the octant is lower than
+ // the current distance from the closest entity
+ for(i=0;i<8;i++)
+ {
+ SetSonCrd(i, SonMin, SonMax, MinCrd, MaxCrd);
+
+ if(DisVerOct(VerCrd, SonMin, SonMax) <= *MinDis)
+ GetOctLnk( msh, typ, VerCrd, MinItm, MinDis, oct->son + i,
+ SonMin, SonMax, UsrPrc, UsrDat, ThrIdx );
+ }
+ }
+ else if((lnk = oct->lnk))
+ {
+ // When a leaf octant is reached, compute the distance
+ // between its linked enities and the vertex
+ do
+ {
+ if(lnk->typ != typ)
+ continue;
+
+ if(lnk->typ == LolTypVer)
+ CurDis = DisPow(VerCrd, (fpn *)GetPtrItm(msh, LolTypVer, lnk->idx));
+ else if(lnk->typ == LolTypEdg)
+ {
+ SetItm(msh, LolTypEdg, lnk->idx, 0, ThrIdx);
+ CurDis = DisVerEdg(VerCrd, &ThrMsh->edg);
+ }
+ else if(lnk->typ == LolTypTri)
+ {
+ if(ThrMsh->TagTab[ lnk->idx ] == ThrMsh->tag)
+ continue;
+
+ ThrMsh->TagTab[ lnk->idx ] = ThrMsh->tag;
+
+ if(UsrPrc && !UsrPrc(UsrDat, lnk->idx))
+ continue;
+
+ SetItm(msh, LolTypTri, lnk->idx, 0, ThrIdx);
+ CurDis = DisVerTri(msh, VerCrd, &ThrMsh->tri);
+ }
+ else if(lnk->typ == LolTypQad)
+ {
+ if(ThrMsh->TagTab[ lnk->idx ] == ThrMsh->tag)
+ continue;
+
+ ThrMsh->TagTab[ lnk->idx ] = ThrMsh->tag;
+
+ if(UsrPrc && !UsrPrc(UsrDat, lnk->idx))
+ continue;
+
+ SetItm(msh, LolTypQad, lnk->idx, 0, ThrIdx);
+ CurDis = DisVerQad(msh, VerCrd, &ThrMsh->qad);
+ }
+ else if(lnk->typ == LolTypTet)
+ {
+ SetItm(msh, LolTypTet, lnk->idx, 0, ThrIdx);
+ CurDis = DisVerTet(msh, VerCrd, &ThrMsh->tet);
+ }
+
+ if(CurDis < *MinDis)
+ {
+ *MinItm = lnk->idx;
+ *MinDis = CurDis;
+ }
+ }while((lnk = lnk->nex));
+ }
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Search for the nearest triangle instersected by a line */
+/*----------------------------------------------------------------------------*/
+
+static void IntRayOct( TreSct *tre, MshSct *msh, fpn *crd, fpn *tng,
+ itg *MinItm, fpn *MinDis, OctSct *oct, fpn MinCrd[3],
+ fpn MaxCrd[3], itg (UsrPrc)(void *, itg), void *UsrDat,
+ itg ThrIdx )
+{
+ itg i, *IdxTab;
+ fpn CurDis, SonMin[3], SonMax[3];
+ VerSct IntVer;
+ LnkSct *lnk;
+ MshThrSct *ThrMsh = &tre->msh->thr[ ThrIdx ];
+
+ if(oct->sub)
+ {
+ // Check each sons recursively as long as the minimum distance
+ // between the vertex and the octant is lower than
+ // the current distance from the closest entity
+ for(i=0;i<8;i++)
+ {
+ SetSonCrd(i, SonMin, SonMax, MinCrd, MaxCrd);
+
+ if(!LinIntBox(crd, tng, SonMin, SonMax, msh->eps))
+ continue;
+
+ IntRayOct( tre, msh, crd, tng, MinItm, MinDis, oct->son+i,
+ SonMin, SonMax, UsrPrc, UsrDat, ThrIdx );
+ }
+ }
+ else if((lnk = oct->lnk))
+ {
+ // When a leaf octant is reached, compute the intersection
+ // between its linked triangles and the line
+ do
+ {
+ if(lnk->typ != LolTypTri)
+ continue;
+
+ if(ThrMsh->TagTab[ lnk->idx ] == ThrMsh->tag)
+ continue;
+
+ ThrMsh->TagTab[ lnk->idx ] = ThrMsh->tag;
+ SetItm(msh, LolTypTri, lnk->idx, 0, ThrIdx);
+
+ if(UsrPrc && !UsrPrc(UsrDat, lnk->idx))
+ continue;
+
+ if(DotPrd(tng, ThrMsh->tri.nrm) != 0.)
+ {
+ LinIntPla( crd, tng, ThrMsh->tri.ver[0]->crd,
+ ThrMsh->tri.nrm, IntVer.crd );
+
+ if(VerInsTri(&ThrMsh->tri, &IntVer, msh->eps))
+ {
+ CurDis = DisPow(IntVer.crd, crd);
+
+ if(CurDis < *MinDis)
+ {
+ *MinItm = lnk->idx;
+ *MinDis = CurDis;
+ }
+ }
+ }
+ }while((lnk = lnk->nex));
+ }
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Setup an arbitrary geometrical item structure from its index */
+/*----------------------------------------------------------------------------*/
+
+static void SetItm(MshSct *msh, itg typ, itg idx, itg flg, itg ThrIdx)
+{
+ itg i, j, *IdxTab;
+ const itg TetEdgFac[6][2] = { {2,3}, {1,3}, {1,2}, {0,3}, {0,2}, {0,1} };
+ MshThrSct *ThrMsh = &msh->thr[ ThrIdx ];
+
+ if(typ == LolTypVer)
+ {
+ ThrMsh->ver[0].idx = idx;
+ CpyVec((fpn *)GetPtrItm(msh, typ, idx), ThrMsh->ver[0].crd);
+ }
+ else if(typ == LolTypEdg)
+ {
+ // Setup the temporary edge structure with this edge's ID
+ ThrMsh->edg.idx = idx;
+ IdxTab = (itg *)GetPtrItm(msh, typ, idx);
+
+ for(i=0;i<2;i++)
+ CpyVec((fpn *)GetPtrItm(msh, LolTypVer, IdxTab[i]), ThrMsh->edg.ver[i]->crd);
+
+ SetEdgTng(&ThrMsh->edg);
+ }
+ else if(typ == LolTypTri)
+ {
+ // Setup the temporary triangle structure with this triangle's ID
+ ThrMsh->tri.idx = idx;
+ IdxTab = (itg *)GetPtrItm(msh, typ, idx);
+
+ for(i=0;i<3;i++)
+ CpyVec((fpn *)GetPtrItm(msh, LolTypVer, IdxTab[i]), ThrMsh->tri.ver[i]->crd);
+
+ SetTriNrm(&ThrMsh->tri);
+
+ // Set triangle edge tangents only on request
+ if(flg & TngFlg)
+ for(i=0;i<3;i++)
+ SetEdgTng(&ThrMsh->tri.edg[i]);
+
+ // Compute the aspect ratio on demand
+ if(flg & AniFlg)
+ ThrMsh->tri.ani = GetTriAni(&ThrMsh->tri);
+ }
+ else if(typ == LolTypQad)
+ {
+ // Setup the temporary triangle structure with this triangle's ID
+ ThrMsh->qad.idx = idx;
+ IdxTab = (itg *)GetPtrItm(msh, typ, idx);
+
+ for(i=0;i<4;i++)
+ CpyVec((fpn *)GetPtrItm(msh, LolTypVer, IdxTab[i]), ThrMsh->qad.ver[i]->crd);
+
+ // Set quad edge tangents only on request
+ if(flg & TngFlg)
+ for(i=0;i<4;i++)
+ SetEdgTng(&ThrMsh->qad.edg[i]);
+
+ for(i=0;i<2;i++)
+ {
+ SetTriNrm(&ThrMsh->qad.tri[i]);
+
+ // Set triangle edge tangents only on request
+ if(flg & TngFlg)
+ for(j=0;j<3;j++)
+ SetEdgTng(&ThrMsh->qad.tri[i].edg[j]);
+
+ // Compute the aspect ratio on demand
+ if(flg & AniFlg)
+ ThrMsh->tri.ani = GetTriAni(&ThrMsh->qad.tri[i]);
+ }
+ }
+ else if(typ == LolTypTet)
+ {
+ // Setup the temporary tetrahedron structure with this tet ID
+ ThrMsh->tet.idx = idx;
+ IdxTab = (itg *)GetPtrItm(msh, typ, idx);
+
+ for(i=0;i<4;i++)
+ CpyVec((fpn *)GetPtrItm(msh, LolTypVer, IdxTab[i]), ThrMsh->tet.ver[i]->crd);
+
+ for(i=0;i<4;i++)
+ SetTriNrm(&ThrMsh->tet.tri[i]);
+
+ // Set tet edge tangents only on request
+ if(flg & TngFlg)
+ for(i=0;i<6;i++)
+ {
+ SetEdgTng(&ThrMsh->tet.edg[i]);
+ CpyVec(ThrMsh->tet.edg[i].tng, ThrMsh->tet.tri[ TetEdgFac[i][0] ].edg[0].tng);
+ CpyVec(ThrMsh->tet.edg[i].tng, ThrMsh->tet.tri[ TetEdgFac[i][1] ].edg[1].tng);
+ }
+ }
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Save the local mesh entities into their backup position */
+/*----------------------------------------------------------------------------*/
+
+static void BakMshItm(MshSct *msh)
+{
+ memcpy(&msh->thr[0].BakEdg, &msh->thr[0].edg, sizeof(EdgSct));
+ memcpy(&msh->thr[0].BakTri, &msh->thr[0].tri, sizeof(TriSct));
+ memcpy(&msh->thr[0].BakQad, &msh->thr[0].qad, sizeof(QadSct));
+ memcpy(&msh->thr[0].BakTet, &msh->thr[0].tet, sizeof(TetSct));
+ memcpy( msh->thr[0].BakVer, msh->thr[0].ver, 4 * sizeof(VerSct));
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Restore the local entities from the backup to the current position */
+/*----------------------------------------------------------------------------*/
+
+static void RstMshItm(MshSct *msh)
+{
+ memcpy(&msh->thr[0].edg, &msh->thr[0].BakEdg, sizeof(EdgSct));
+ memcpy(&msh->thr[0].tri, &msh->thr[0].BakTri, sizeof(TriSct));
+ memcpy(&msh->thr[0].qad, &msh->thr[0].BakQad, sizeof(QadSct));
+ memcpy(&msh->thr[0].tet, &msh->thr[0].BakTet, sizeof(TetSct));
+ memcpy( msh->thr[0].ver, msh->thr[0].BakVer, 4 * sizeof(VerSct));
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Get a geometric item adress in the user's table */
+/*----------------------------------------------------------------------------*/
+
+static char *GetPtrItm(MshSct *msh, itg typ, itg idx)
+{
+ return(msh->UsrPtr[ typ ] + (idx - msh->BasIdx) * msh->UsrSiz[ typ ]);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Create a mesh with one hexa enclosing the whole surface */
+/*----------------------------------------------------------------------------*/
+
+static void SetMshBox(TreSct *box, MshSct *msh)
+{
+ itg i, j;
+ fpn MinCrd[3], MaxCrd[3], MidCrd[3], *CrdTab, siz;
+
+ // Compute the bounding box (rectangular)
+ CpyVec((fpn *)GetPtrItm(msh, LolTypVer, msh->BasIdx), MinCrd);
+ CpyVec((fpn *)GetPtrItm(msh, LolTypVer, msh->BasIdx), MaxCrd);
+
+ for(i=1;i<msh->NmbItm[ LolTypVer ];i++)
+ {
+ CrdTab = (fpn *)GetPtrItm(msh, LolTypVer, i + msh->BasIdx);
+
+ for(j=0;j<3;j++)
+ {
+ MinCrd[j] = MIN(MinCrd[j], CrdTab[j]);
+ MaxCrd[j] = MAX(MaxCrd[j], CrdTab[j]);
+ }
+ }
+
+ // Compute the bounding box
+ siz = MAX(MaxCrd[0] - MinCrd[0], MaxCrd[1] - MinCrd[1]);
+ siz = MAX(siz, MaxCrd[2] - MinCrd[2]);
+ box->eps = siz * FLT_EPSILON;
+ box->MinSiz = box->MaxSiz = siz;
+
+ // Move the center 1/1000th away
+ LinCmbVec3(.5, MinCrd, .5, MaxCrd, MidCrd);
+ AddScaVec1(siz * FLT_EPSILON, MidCrd);
+ AddScaVec2(-1.02 * siz / 2., MidCrd, box->bnd[0]);
+ AddScaVec2( 1.02 * siz / 2., MidCrd, box->bnd[1]);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Add a vertex to leaf octants */
+/*----------------------------------------------------------------------------*/
+
+static void AddVer( MshSct *msh, TreSct *tre, OctSct *oct,
+ fpn MinCrd[3], fpn MaxCrd[3] )
+{
+ itg i;
+ fpn SonMin[3], SonMax[3];
+
+ if(oct->sub)
+ {
+ for(i=0;i<8;i++)
+ {
+ SetSonCrd(i, SonMin, SonMax, MinCrd, MaxCrd);
+
+ if(VerInsOct(msh->thr[0].ver[0].crd, SonMin, SonMax))
+ AddVer(msh, tre, oct->son+i, SonMin, SonMax);
+ }
+ }
+ else
+ {
+ LnkItm(tre, oct, LolTypVer, msh->thr[0].ver[0].idx, 0);
+
+ if((oct->lvl < tre->GrdLvl)
+ || ((oct->NmbVer >= oct->MaxItm) && (oct->lvl < MaxOctLvl)) )
+ {
+ SubOct(msh, tre, oct, MinCrd, MaxCrd);
+ }
+ }
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Add an edge to leaf octants */
+/*----------------------------------------------------------------------------*/
+
+static void AddEdg( MshSct *msh, TreSct *tre, OctSct *oct,
+ fpn MinCrd[3], fpn MaxCrd[3] )
+{
+ itg i;
+ fpn SonMin[3], SonMax[3];
+
+ if(oct->sub)
+ {
+ for(i=0;i<8;i++)
+ {
+ SetSonCrd(i, SonMin, SonMax, MinCrd, MaxCrd);
+ SetTmpHex(&tre->thr[0].hex, SonMin, SonMax);
+
+ if(EdgIntHex(&msh->thr[0].edg, &tre->thr[0].hex, tre->eps))
+ AddEdg(msh, tre, oct->son+i, SonMin, SonMax);
+ }
+ }
+ else
+ {
+ LnkItm(tre, oct, LolTypEdg, msh->thr[0].edg.idx, 0);
+
+ if( (oct->lvl < tre->GrdLvl)
+ || ((oct->NmbEdg >= oct->MaxItm) && (oct->lvl < MaxOctLvl)) )
+ {
+ SubOct(msh, tre, oct, MinCrd, MaxCrd);
+ }
+ }
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Add a triangle to leaf octants */
+/*----------------------------------------------------------------------------*/
+
+static void AddTri( MshSct *msh, TreSct *tre, OctSct *oct,
+ fpn MinCrd[3], fpn MaxCrd[3] )
+{
+ itg i;
+ fpn SonMin[3], SonMax[3];
+
+ if(oct->sub)
+ {
+ for(i=0;i<8;i++)
+ {
+ SetSonCrd(i, SonMin, SonMax, MinCrd, MaxCrd);
+ SetTmpHex(&tre->thr[0].hex, SonMin, SonMax);
+
+ if(TriIntHex(&msh->thr[0].tri, &tre->thr[0].hex, tre->eps))
+ AddTri(msh, tre, oct->son+i, SonMin, SonMax);
+ }
+ }
+ else
+ {
+ LnkItm(tre, oct, LolTypTri, msh->thr[0].tri.idx, msh->thr[0].tri.ani);
+
+ if( (oct->lvl < tre->GrdLvl)
+ || ((oct->NmbFac >= oct->MaxItm) && (oct->lvl < MaxOctLvl)) )
+ {
+ SubOct(msh, tre, oct, MinCrd, MaxCrd);
+ }
+ }
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Add a quad to leaf octants */
+/*----------------------------------------------------------------------------*/
+
+static void AddQad( MshSct *msh, TreSct *tre, OctSct *oct,
+ fpn MinCrd[3], fpn MaxCrd[3] )
+{
+ itg i;
+ fpn SonMin[3], SonMax[3];
+
+ if(oct->sub)
+ {
+ for(i=0;i<8;i++)
+ {
+ SetSonCrd(i, SonMin, SonMax, MinCrd, MaxCrd);
+ SetTmpHex(&tre->thr[0].hex, SonMin, SonMax);
+
+ if(QadIntHex(&msh->thr[0].qad, &tre->thr[0].hex, tre->eps))
+ AddQad(msh, tre, oct->son+i, SonMin, SonMax);
+ }
+ }
+ else
+ {
+ LnkItm(tre, oct, LolTypQad, msh->thr[0].qad.idx, 0);
+
+ if( (oct->lvl < tre->GrdLvl)
+ || ((oct->NmbFac >= oct->MaxItm) && (oct->lvl < MaxOctLvl)) )
+ {
+ SubOct(msh, tre, oct, MinCrd, MaxCrd);
+ }
+ }
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Add a tetrahedron to leaf octants */
+/*----------------------------------------------------------------------------*/
+
+static void AddTet( MshSct *msh, TreSct *tre, OctSct *oct,
+ fpn MinCrd[3], fpn MaxCrd[3] )
+{
+ itg i;
+ fpn SonMin[3], SonMax[3];
+
+ if(oct->sub)
+ {
+ for(i=0;i<8;i++)
+ {
+ SetSonCrd(i, SonMin, SonMax, MinCrd, MaxCrd);
+ SetTmpHex(&tre->thr[0].hex, SonMin, SonMax);
+
+ if(TetIntHex(&msh->thr[0].tet, &tre->thr[0].hex, tre->eps))
+ AddTet(msh, tre, oct->son+i, SonMin, SonMax);
+ }
+ }
+ else
+ {
+ LnkItm(tre, oct, LolTypTet, msh->thr[0].tet.idx, msh->thr[0].tet.ani);
+
+ if( (oct->lvl < tre->GrdLvl)
+ || ((oct->NmbFac >= oct->MaxItm) && (oct->lvl < MaxOctLvl)) )
+ {
+ SubOct(msh, tre, oct, MinCrd, MaxCrd);
+ }
+ }
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Subdivide an octant and its content to its sons */
+/*----------------------------------------------------------------------------*/
+
+static void SubOct( MshSct *msh, TreSct *tre, OctSct *oct,
+ fpn MinCrd[3], fpn MaxCrd[3] )
+{
+ itg i, j, *IdxTab;
+ fpn SonMin[3], SonMax[3];
+ LnkSct *lnk , *OctLnk = oct->lnk;
+ OctSct *son;
+
+ // If there is no more free octants, allocate a new bloc
+ if(!tre->NmbFreOct)
+ {
+ tre->CurOctBlk = NewMem(tre, MemBlkSiz * 8 * sizeof(OctSct));
+ tre->NmbFreOct = MemBlkSiz;
+ }
+
+ // The octant points on its first son, the other are consectutive in memory
+ oct->son = &tre->CurOctBlk[ (MemBlkSiz - tre->NmbFreOct--) * 8 ];
+ oct->sub = 1;
+ tre->NmbOct+=8;
+
+ // Initialize each sons
+ for(i=0;i<8;i++)
+ {
+ son = oct->son+i;
+ son->lnk = NULL;
+ son->son = NULL;
+ son->NmbVer = son->NmbEdg = son->NmbFac = son->NmbVol = 0;
+ son->ani = 1;
+ son->MaxItm = MaxItmOct;
+ son->sub = 0;
+ son->lvl = oct->lvl + 1;
+ }
+
+ // Update octree min octant size and max level
+ tre->MinSiz = MIN(tre->MinSiz, (MaxCrd[0] - MinCrd[0])/2.);
+ tre->MaxLvl = MAX(tre->MaxLvl, oct->lvl+1);
+
+ // Backup the curent mesh local entities that are being tested
+ // as the propagation process will call SetItm an all linked items
+ BakMshItm(msh);
+
+ // Now unlink every items from the father and add them to its sons
+ while((lnk = OctLnk))
+ {
+ if(lnk->typ == LolTypVer)
+ {
+ // Check inclusion of vertices among the 8 sons
+ SetItm(msh, LolTypVer, lnk->idx, 0, 0);
+
+ for(i=0;i<8;i++)
+ {
+ SetSonCrd(i, SonMin, SonMax, MinCrd, MaxCrd);
+
+ if(VerInsOct(msh->thr[0].ver[0].crd, SonMin, SonMax))
+ LnkItm(tre, oct->son+i, LolTypVer, lnk->idx, 0);
+ }
+ }
+ else if(lnk->typ == LolTypEdg)
+ {
+ // Check the intersection between edge and the 8 sons
+ SetItm(msh, LolTypEdg, lnk->idx, 0, 0);
+
+ for(i=0;i<8;i++)
+ {
+ SetSonCrd(i, SonMin, SonMax, MinCrd, MaxCrd);
+ SetTmpHex(&tre->thr[0].hex, SonMin, SonMax);
+
+ if(EdgIntHex(&msh->thr[0].edg, &tre->thr[0].hex, tre->eps))
+ LnkItm(tre, oct->son+i, LolTypEdg, lnk->idx, 0);
+ }
+ }
+ else if(lnk->typ == LolTypTri)
+ {
+ // Check the intersection between the triangle and the 8 sons
+ SetItm(msh, LolTypTri, lnk->idx, TngFlg | AniFlg, 0);
+
+ for(i=0;i<8;i++)
+ {
+ SetSonCrd(i, SonMin, SonMax, MinCrd, MaxCrd);
+ SetTmpHex(&tre->thr[0].hex, SonMin, SonMax);
+
+ if(TriIntHex(&msh->thr[0].tri, &tre->thr[0].hex, tre->eps))
+ LnkItm(tre, oct->son+i, LolTypTri, lnk->idx, oct->ani);
+ }
+ }
+ else if(lnk->typ == LolTypQad)
+ {
+ // Check the intersection between the quad and the 8 sons
+ SetItm(msh, LolTypQad, lnk->idx, TngFlg | AniFlg, 0);
+
+ for(i=0;i<8;i++)
+ {
+ SetSonCrd(i, SonMin, SonMax, MinCrd, MaxCrd);
+ SetTmpHex(&tre->thr[0].hex, SonMin, SonMax);
+
+ if(QadIntHex(&msh->thr[0].qad, &tre->thr[0].hex, tre->eps))
+ LnkItm(tre, oct->son+i, LolTypQad, lnk->idx, oct->ani);
+ }
+ }
+ else if(lnk->typ == LolTypTet)
+ {
+ // Check the intersection between the tet and the 8 sons
+ SetItm(msh, LolTypTet, lnk->idx, TngFlg, 0);
+
+ for(i=0;i<8;i++)
+ {
+ SetSonCrd(i, SonMin, SonMax, MinCrd, MaxCrd);
+ SetTmpHex(&tre->thr[0].hex, SonMin, SonMax);
+
+ if(TetIntHex(&msh->thr[0].tet, &tre->thr[0].hex, tre->eps))
+ LnkItm(tre, oct->son+i, LolTypTet, lnk->idx, oct->ani);
+ }
+ }
+
+ OctLnk = lnk->nex;
+ lnk->nex = tre->NexFreLnk;
+ tre->NexFreLnk = lnk;
+ }
+
+ // Put back the current mesh enities that are being inserted
+ RstMshItm(msh);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Add an entity to an octant linked list */
+/*----------------------------------------------------------------------------*/
+
+static void LnkItm(TreSct *tre, OctSct *oct, itg typ, itg idx, char ani)
+{
+ itg i;
+ LnkSct *lnk;
+
+
+ lnk = oct->lnk;
+ while(lnk)
+ {
+ if(lnk->typ == typ && lnk->idx == idx)
+ return;
+ lnk = lnk->nex;
+ }
+
+
+ // In case nore more link container are availbable, allocate a new bloc
+ if(!tre->NexFreLnk)
+ {
+ tre->NexFreLnk = NewMem(tre, MemBlkSiz * sizeof(LnkSct));
+
+ for(i=0;i<MemBlkSiz;i++)
+ tre->NexFreLnk[i].nex = &tre->NexFreLnk[ i+1 ];
+
+ tre->NexFreLnk[ MemBlkSiz - 1 ].nex = NULL;
+ }
+
+ // Get the next free link container and set it with the given item
+ lnk = tre->NexFreLnk;
+ tre->NexFreLnk = lnk->nex;
+ lnk->typ = typ;
+ lnk->idx = idx;
+ lnk->nex = oct->lnk;
+ oct->lnk = lnk;
+
+ // Update the octant local counters
+ if(typ == LolTypVer)
+ oct->NmbVer++;
+ else if(typ == LolTypEdg)
+ oct->NmbEdg++;
+ else if( (typ == LolTypTri) || (typ == LolTypQad) )
+ {
+ // Update the octant mean anisotropic factor
+ // and deduce a max number of item form it
+ if(typ == LolTypTri)
+ {
+ oct->ani = (oct->ani * oct->NmbFac + ani) / (oct->NmbFac + 1);
+ oct->MaxItm = MIN(MaxItmOct * ani, 255);
+ }
+
+ oct->NmbFac++;
+ }
+ else
+ oct->NmbVol++;
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Build an octant strucutre from the two corner points */
+/*----------------------------------------------------------------------------*/
+
+static void SetSonCrd( itg SonIdx, fpn SonMin[3], fpn SonMax[3],
+ fpn MinCrd[3], fpn MaxCrd[3] )
+{
+ fpn MidCrd[3];
+
+ LinCmbVec3(.5, MinCrd, .5, MaxCrd, MidCrd);
+
+ switch(SonIdx)
+ {
+ case 0 : {
+ SonMin[0] = MinCrd[0];
+ SonMin[1] = MinCrd[1];
+ SonMin[2] = MinCrd[2];
+ SonMax[0] = MidCrd[0];
+ SonMax[1] = MidCrd[1];
+ SonMax[2] = MidCrd[2];
+ }return;
+
+ case 1 : {
+ SonMin[0] = MidCrd[0];
+ SonMin[1] = MinCrd[1];
+ SonMin[2] = MinCrd[2];
+ SonMax[0] = MaxCrd[0];
+ SonMax[1] = MidCrd[1];
+ SonMax[2] = MidCrd[2];
+ }return;
+
+ case 2 : {
+ SonMin[0] = MinCrd[0];
+ SonMin[1] = MidCrd[1];
+ SonMin[2] = MinCrd[2];
+ SonMax[0] = MidCrd[0];
+ SonMax[1] = MaxCrd[1];
+ SonMax[2] = MidCrd[2];
+ }return;
+
+ case 3 : {
+ SonMin[0] = MidCrd[0];
+ SonMin[1] = MidCrd[1];
+ SonMin[2] = MinCrd[2];
+ SonMax[0] = MaxCrd[0];
+ SonMax[1] = MaxCrd[1];
+ SonMax[2] = MidCrd[2];
+ }return;
+
+ case 4 : {
+ SonMin[0] = MinCrd[0];
+ SonMin[1] = MinCrd[1];
+ SonMin[2] = MidCrd[2];
+ SonMax[0] = MidCrd[0];
+ SonMax[1] = MidCrd[1];
+ SonMax[2] = MaxCrd[2];
+ }return;
+
+ case 5 : {
+ SonMin[0] = MidCrd[0];
+ SonMin[1] = MinCrd[1];
+ SonMin[2] = MidCrd[2];
+ SonMax[0] = MaxCrd[0];
+ SonMax[1] = MidCrd[1];
+ SonMax[2] = MaxCrd[2];
+ }return;
+
+ case 6 : {
+ SonMin[0] = MinCrd[0];
+ SonMin[1] = MidCrd[1];
+ SonMin[2] = MidCrd[2];
+ SonMax[0] = MidCrd[0];
+ SonMax[1] = MaxCrd[1];
+ SonMax[2] = MaxCrd[2];
+ }return;
+
+ case 7 : {
+ SonMin[0] = MidCrd[0];
+ SonMin[1] = MidCrd[1];
+ SonMin[2] = MidCrd[2];
+ SonMax[0] = MaxCrd[0];
+ SonMax[1] = MaxCrd[1];
+ SonMax[2] = MaxCrd[2];
+ }return;
+ }
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Test if a vertex is inside an octant */
+/*----------------------------------------------------------------------------*/
+
+static itg VerInsOct(fpn VerCrd[3], fpn MinCrd[3], fpn MaxCrd[3])
+{
+ itg i;
+
+ for(i=0;i<3;i++)
+ if( (VerCrd[i] > MaxCrd[i]) || (VerCrd[i] < MinCrd[i]) )
+ return(0);
+
+ return(1);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Setup a temporary test hex from the bounding box limits */
+/*----------------------------------------------------------------------------*/
+
+static void SetTmpHex(HexSct *hex, fpn MinCrd[3], fpn MaxCrd[3])
+{
+ hex->ver[0]->crd[0] = MinCrd[0];
+ hex->ver[0]->crd[1] = MinCrd[1];
+ hex->ver[0]->crd[2] = MaxCrd[2];
+ hex->ver[1]->crd[0] = MaxCrd[0];
+ hex->ver[1]->crd[1] = MinCrd[1];
+ hex->ver[1]->crd[2] = MaxCrd[2];
+ hex->ver[2]->crd[0] = MaxCrd[0];
+ hex->ver[2]->crd[1] = MinCrd[1];
+ hex->ver[2]->crd[2] = MinCrd[2];
+ hex->ver[3]->crd[0] = MinCrd[0];
+ hex->ver[3]->crd[1] = MinCrd[1];
+ hex->ver[3]->crd[2] = MinCrd[2];
+ hex->ver[4]->crd[0] = MinCrd[0];
+ hex->ver[4]->crd[1] = MaxCrd[1];
+ hex->ver[4]->crd[2] = MaxCrd[2];
+ hex->ver[5]->crd[0] = MaxCrd[0];
+ hex->ver[5]->crd[1] = MaxCrd[1];
+ hex->ver[5]->crd[2] = MaxCrd[2];
+ hex->ver[6]->crd[0] = MaxCrd[0];
+ hex->ver[6]->crd[1] = MaxCrd[1];
+ hex->ver[6]->crd[2] = MinCrd[2];
+ hex->ver[7]->crd[0] = MinCrd[0];
+ hex->ver[7]->crd[1] = MaxCrd[1];
+ hex->ver[7]->crd[2] = MinCrd[2];
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute/test the intersection between a line and a cube */
+/*----------------------------------------------------------------------------*/
+
+static itg LinIntBox(fpn *LinCrd, fpn *LinTng,
+ fpn *BoxMin, fpn *BoxMax, fpn eps)
+{
+ itg i;
+ fpn IntCrd[3], NrmTab[3][3] = { {1,0,0}, {0,1,0}, {0,0,1} };
+
+ // Compute the intersections between the edge and the cube's faces
+ for(i=0;i<3;i++)
+ {
+ if(LinTng[i] == 0.)
+ continue;
+
+ LinIntPla(LinCrd, LinTng, BoxMin, NrmTab[i], IntCrd);
+
+ if(VerInsBox(IntCrd, BoxMin, BoxMax, eps))
+ return(1);
+
+ LinIntPla(LinCrd, LinTng, BoxMax, NrmTab[i], IntCrd);
+
+ if(VerInsBox(IntCrd, BoxMin, BoxMax, eps))
+ return(1);
+ }
+
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute the intersection between a line and a plane */
+/*----------------------------------------------------------------------------*/
+
+static void LinIntPla( fpn *LinCrd, fpn *LinTng,
+ fpn *PlaCrd, fpn *PlaNrm, fpn *IntCrd)
+{
+ fpn u[3];
+
+ SubVec3(LinCrd, PlaCrd, u);
+ LinCmbVec3( 1., LinCrd, -DotPrd(PlaNrm, u) / DotPrd(PlaNrm, LinTng),
+ LinTng, IntCrd);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Test if a vertex stands inside a bounding box + epsilon */
+/*----------------------------------------------------------------------------*/
+
+static fpn VerInsBox(fpn *VerCrd, fpn *BoxMin, fpn *BoxMax, fpn eps)
+{
+ if((VerCrd[0] < BoxMin[0] - eps) || (VerCrd[1] < BoxMin[1] - eps)
+ || (VerCrd[2] < BoxMin[2] - eps) || (VerCrd[0] > BoxMax[0] + eps)
+ || (VerCrd[1] > BoxMax[1] + eps) || (VerCrd[2] > BoxMax[2] + eps) )
+ {
+ return(0);
+ }
+
+ return(1);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute/test the intersection between an edge and a hex */
+/*----------------------------------------------------------------------------*/
+
+static itg EdgIntHex(EdgSct *edg, HexSct *hex, fpn eps)
+{
+ itg i;
+ VerSct IntVer;
+
+ // Test if an edge's vertex is included in the octant
+ if(VerInsHex(edg->ver[0], hex) || VerInsHex(edg->ver[1], hex))
+ return(1);
+
+ // Compute the intersections between the edge and the hex's faces
+ for(i=0;i<6;i++)
+ if(EdgIntQad(hex, i, edg, &IntVer, eps))
+ return(1);
+
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Test if an octant is intersected by a triangle */
+/*----------------------------------------------------------------------------*/
+
+static itg TriIntHex(TriSct *tri, HexSct *hex, fpn eps)
+{
+ itg i, j, pos, neg;
+ fpn CurDis;
+ VerSct IntVer;
+
+ // If there is no intersection between the bounding box
+ // of the triangle and the octant it is no use to test,
+ // the triangle doesn't intersect the octant
+ if(( (tri->ver[0]->crd[0] < hex->ver[3]->crd[0])
+ && (tri->ver[1]->crd[0] < hex->ver[3]->crd[0])
+ && (tri->ver[2]->crd[0] < hex->ver[3]->crd[0]) )
+ || ( (tri->ver[0]->crd[0] > hex->ver[5]->crd[0])
+ && (tri->ver[1]->crd[0] > hex->ver[5]->crd[0])
+ && (tri->ver[2]->crd[0] > hex->ver[5]->crd[0]) )
+ || ( (tri->ver[0]->crd[1] < hex->ver[3]->crd[1])
+ && (tri->ver[1]->crd[1] < hex->ver[3]->crd[1])
+ && (tri->ver[2]->crd[1] < hex->ver[3]->crd[1]) )
+ || ( (tri->ver[0]->crd[1] > hex->ver[5]->crd[1])
+ && (tri->ver[1]->crd[1] > hex->ver[5]->crd[1])
+ && (tri->ver[2]->crd[1] > hex->ver[5]->crd[1]) )
+ || ( (tri->ver[0]->crd[2] < hex->ver[3]->crd[2])
+ && (tri->ver[1]->crd[2] < hex->ver[3]->crd[2])
+ && (tri->ver[2]->crd[2] < hex->ver[3]->crd[2]) )
+ || ( (tri->ver[0]->crd[2] > hex->ver[5]->crd[2])
+ && (tri->ver[1]->crd[2] > hex->ver[5]->crd[2])
+ && (tri->ver[2]->crd[2] > hex->ver[5]->crd[2]) ) )
+ {
+ return(0);
+ }
+
+ // Test if a triangle's vertex is included in the octant
+ for(i=0;i<3;i++)
+ if(VerInsHex(tri->ver[i], hex))
+ return(1);
+
+ // Check whether the triangle plane intersects the octant
+ pos = neg = 0;
+
+ for(i=0;i<8;i++)
+ {
+ CurDis = DisVerPla(hex->ver[i]->crd, tri->ver[0]->crd, tri->nrm);
+
+ if(CurDis < -eps)
+ neg = 1;
+ else if(CurDis > eps)
+ pos = 1;
+ else
+ pos = neg = 1;
+ }
+
+ if(!pos || !neg)
+ return(0);
+
+ // Compute the intersections between the triangle edges and the hex faces
+ for(i=0;i<6;i++)
+ for(j=0;j<3;j++)
+ if(EdgIntQad(hex, i, &tri->edg[j], &IntVer, eps))
+ return(1);
+
+ // Compute the intersections between the triangle and the hex edges
+ for(i=0;i<12;i++)
+ if(EdgIntTri(tri, &hex->edg[i], &IntVer, eps))
+ return(1);
+
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Test if an octant is intersected by a quad */
+/*----------------------------------------------------------------------------*/
+
+static itg QadIntHex(QadSct *qad, HexSct *hex, fpn eps)
+{
+ if(TriIntHex(&qad->tri[0], hex, eps) || TriIntHex(&qad->tri[1], hex, eps))
+ return(1);
+ else
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Test if an octant is intersected by a tetrahedron */
+/*----------------------------------------------------------------------------*/
+
+static itg TetIntHex(TetSct *tet, HexSct *hex, fpn eps)
+{
+ itg i, j, pos, neg;
+ fpn CurDis;
+ VerSct IntVer;
+
+ // If there is no intersection between the bounding box
+ // of the tet and the octant it is no use to test,
+ // the tet doesn't intersect the octant
+ if(( (tet->ver[0]->crd[0] < hex->ver[3]->crd[0])
+ && (tet->ver[1]->crd[0] < hex->ver[3]->crd[0])
+ && (tet->ver[2]->crd[0] < hex->ver[3]->crd[0])
+ && (tet->ver[3]->crd[0] < hex->ver[3]->crd[0]) )
+ || ( (tet->ver[0]->crd[0] > hex->ver[5]->crd[0])
+ && (tet->ver[1]->crd[0] > hex->ver[5]->crd[0])
+ && (tet->ver[2]->crd[0] > hex->ver[5]->crd[0])
+ && (tet->ver[3]->crd[0] > hex->ver[5]->crd[0]) )
+ || ( (tet->ver[0]->crd[1] < hex->ver[3]->crd[1])
+ && (tet->ver[1]->crd[1] < hex->ver[3]->crd[1])
+ && (tet->ver[2]->crd[1] < hex->ver[3]->crd[1])
+ && (tet->ver[3]->crd[1] < hex->ver[3]->crd[1]) )
+ || ( (tet->ver[0]->crd[1] > hex->ver[5]->crd[1])
+ && (tet->ver[1]->crd[1] > hex->ver[5]->crd[1])
+ && (tet->ver[2]->crd[1] > hex->ver[5]->crd[1])
+ && (tet->ver[3]->crd[1] > hex->ver[5]->crd[1]) )
+ || ( (tet->ver[0]->crd[2] < hex->ver[3]->crd[2])
+ && (tet->ver[1]->crd[2] < hex->ver[3]->crd[2])
+ && (tet->ver[2]->crd[2] < hex->ver[3]->crd[2])
+ && (tet->ver[3]->crd[2] < hex->ver[3]->crd[2]) )
+ || ( (tet->ver[0]->crd[2] > hex->ver[5]->crd[2])
+ && (tet->ver[1]->crd[2] > hex->ver[5]->crd[2])
+ && (tet->ver[2]->crd[2] > hex->ver[5]->crd[2])
+ && (tet->ver[3]->crd[2] > hex->ver[5]->crd[2]) ) )
+ {
+ return(0);
+ }
+
+ // Test if a tet's vertex is included in the octant
+ for(i=0;i<4;i++)
+ if(VerInsHex(tet->ver[i], hex))
+ return(1);
+
+ // Test if a oct's vertex is included in the octant
+ for(i=0;i<8;i++)
+ if(VerInsTet(hex->ver[i], tet, eps))
+ return(1);
+
+ // Compute the intersections between the tet edges and the hex faces
+ for(i=0;i<6;i++)
+ for(j=0;j<6;j++)
+ if(EdgIntQad(hex, i, &tet->edg[j], &IntVer, eps))
+ return(1);
+
+ // Compute the intersections between the tet's face and the hex's edges
+ for(i=0;i<12;i++)
+ for(j=0;j<4;j++)
+ if(EdgIntTri(&tet->tri[j], &hex->edg[i], &IntVer, eps))
+ return(1);
+
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Test if a vertex is included in an inflated tet */
+/*----------------------------------------------------------------------------*/
+
+itg VerInsTet(VerSct *ver, TetSct *tet, fpn eps)
+{
+ const itg TetEdg[6][2] = { {0,1}, {1,2}, {2,0}, {3,0}, {3,1}, {3,2} };
+ const itg TetFac[4][3] = { {3,2,1}, {0,2,3}, {3,1,0}, {0,1,2} };
+ itg i, j, ins = 1;
+ TetSct SubTet;
+
+ // Create 4 subtets from the vertex and a face of the tet.
+ // Compute the volume of each subtet, if all of them are positive,
+ // it means that the vertex is indide the tet
+ SubTet.ver[3] = ver;
+
+ for(i=0;i<4;i++)
+ {
+ for(j=0;j<3;j++)
+ SubTet.ver[j] = tet->ver[ TetFac[i][j] ];
+
+ if(GetVolTet(&SubTet) <= 0)
+ {
+ ins = 0;
+ break;
+ }
+ }
+
+ if(ins)
+ return(1);
+
+ // If the vertex is not inside the tet, it may be close to one of its faces
+ for(i=0;i<4;i++)
+ if(VerInsTri(&tet->tri[i], ver, eps))
+ return(1);
+
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Test if a vertex is inside a hex */
+/*----------------------------------------------------------------------------*/
+
+static itg VerInsHex(VerSct *ver, HexSct *hex)
+{
+ itg i;
+
+ for(i=0;i<3;i++)
+ if( (ver->crd[i] > hex->ver[5]->crd[i])
+ || (ver->crd[i] < hex->ver[3]->crd[i]) )
+ {
+ return(0);
+ }
+
+ return(1);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Test if an edge intersects a quad */
+/*----------------------------------------------------------------------------*/
+
+static itg EdgIntQad(HexSct *hex, itg FacIdx, EdgSct *edg,
+ VerSct *IntVer, fpn eps)
+{
+ itg i, NmbVer = 0;
+ fpn sgn[2];
+ VerSct *ver=NULL;
+ EdgSct edg2;
+ QadSct *qad = &hex->qad[ FacIdx ];
+
+ // Compute the distance between the edge's vertices and the quad's plane
+ for(i=0;i<2;i++)
+ {
+ sgn[i] = DisVerPla(edg->ver[i]->crd, qad->ver[0]->crd, qad->nrm);
+
+ if(fabs(sgn[i]) < eps)
+ {
+ ver = edg->ver[i];
+ NmbVer++;
+ }
+ }
+
+ // This leads to 3 possible cases
+ switch(NmbVer)
+ {
+ // Both vertices are far from the plane :
+ // if they stand in the same side of the plane, there is no intersection,
+ // otherwise we compute the intersection between the edge and the plane
+ // and test wether it falls inside the quad or not
+ case 0 :
+ {
+ // Test if both vertices stand on opposite sides of the plane
+ if(sgn[0] * sgn[1] < 0)
+ {
+ LinCmbVec3( fabs(sgn[0]) / (fabs(sgn[0])
+ + fabs(sgn[1])), edg->ver[1]->crd,
+ fabs(sgn[1]) / (fabs(sgn[0])
+ + fabs(sgn[1])), edg->ver[0]->crd, IntVer->crd);
+
+ return(VerInsHex(IntVer, hex));
+ }
+ }break;
+
+ case 1 :
+ {
+ if(VerInsHex(ver, hex))
+ {
+ CpyVec(ver->crd, IntVer->crd);
+ return(1);
+ }
+ }break;
+
+ case 2 :
+ {
+ for(i=0;i<4;i++)
+ {
+ edg2.ver[0] = qad->ver[i];
+ edg2.ver[1] = qad->ver[ (i+1)%4 ];
+ SetEdgTng(&edg2);
+
+ if(EdgIntEdg(edg, &edg2, IntVer, eps))
+ return(1);
+ }
+ }break;
+ }
+
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Test if an edge intersects a triangle */
+/*----------------------------------------------------------------------------*/
+
+static itg EdgIntTri(TriSct *tri, EdgSct *edg, VerSct *IntVer, fpn eps)
+{
+ itg i, NmbVer = 0;
+ fpn sgn[2];
+ VerSct *ver=NULL;
+ EdgSct edg2;
+
+ // Compute the distance between the edge's vertices and the triangle's plane
+ for(i=0;i<2;i++)
+ {
+ sgn[i] = DisVerPla(edg->ver[i]->crd, tri->ver[0]->crd, tri->nrm);
+
+ if(fabs(sgn[i]) < eps)
+ {
+ ver = edg->ver[i];
+ NmbVer++;
+ }
+ }
+
+ // This leads to 3 possible cases
+ switch(NmbVer)
+ {
+ // Both vertices are far from the plane :
+ // if they stand in the same side of the plane, there is no intersection,
+ // otherwise we compute the intersection between the edge and the plane
+ // and test wether it falls inside the triangle or not
+ case 0 :
+ {
+ // Test if both vertices stand on opposite sides of the plane
+ if(sgn[0] * sgn[1] < 0)
+ {
+ LinCmbVec3( fabs(sgn[0]) / (fabs(sgn[0])
+ + fabs(sgn[1])), edg->ver[1]->crd,
+ fabs(sgn[1]) / (fabs(sgn[0])
+ + fabs(sgn[1])), edg->ver[0]->crd, IntVer->crd);
+
+ return(VerInsTri(tri, IntVer, eps));
+ }
+ }break;
+
+ case 1 :
+ {
+ if(VerInsTri(tri, ver, eps))
+ {
+ CpyVec(ver->crd, IntVer->crd);
+ return(1);
+ }
+ }break;
+
+ case 2 :
+ {
+ for(i=0;i<3;i++)
+ {
+ edg2.ver[0] = tri->ver[i];
+ edg2.ver[1] = tri->ver[ (i+1)%3 ];
+ SetEdgTng(&edg2);
+
+ if(EdgIntEdg(edg, &edg2, IntVer, eps))
+ return(1);
+ }
+ }break;
+ }
+
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Test if a vertex is included in an inflated triangle */
+/*----------------------------------------------------------------------------*/
+
+static itg VerInsTri(TriSct *tri, VerSct *ver, fpn eps)
+{
+ itg i, ins = 1;
+ fpn vec[3][3], nrm[3];
+ VerSct img;
+ EdgSct edg;
+
+ // Project the vertex on the triangle's plane and check the distance
+ if(PrjVerPla(ver->crd, tri->ver[0]->crd, tri->nrm, img.crd) > eps)
+ return(0);
+
+ // Compare the normals of the three sub triangles against
+ // the original triangle's normal. If one of them is opposite,
+ // the vertex does not belong to the triangle
+ for(i=0;i<3;i++)
+ SubVec3(tri->ver[i]->crd, img.crd, vec[i]);
+
+ for(i=0;i<3;i++)
+ {
+ CrsPrd(vec[ (i+1)%3 ], vec[i], nrm);
+
+ if(DotPrd(nrm, tri->nrm) <= 0)
+ {
+ ins = 0;
+ break;
+ }
+ }
+
+ if(ins)
+ return(1);
+
+ // If the vertex is not inside the triangle,
+ // it may be close to one of its edges
+ for(i=0;i<3;i++)
+ {
+ edg.ver[0] = tri->ver[i];
+ edg.ver[1] = tri->ver[ (i+1)%3 ];
+ SetEdgTng(&edg);
+
+ if(VerInsEdg(&edg, &img, eps))
+ return(1);
+ }
+
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute the intersection between coplanar edges */
+/*----------------------------------------------------------------------------*/
+
+static itg EdgIntEdg(EdgSct *edg1, EdgSct *edg2, VerSct *IntVer, fpn eps)
+{
+ itg i, NmbVer = 0;
+ fpn siz[2];
+ VerSct img, *ver=NULL;
+
+ // Compute the distance between the edge1's vertices
+ // and the edge2 support line
+ for(i=0;i<2;i++)
+ {
+ PrjVerLin(edg2->ver[i]->crd, edg1->ver[0]->crd, edg1->tng, img.crd);
+ siz[i] = dis(edg2->ver[i]->crd, img.crd);
+
+ if(siz[i] < eps)
+ NmbVer++;
+ }
+
+ // This leads to 3 possible cases
+ if(NmbVer < 2)
+ {
+ LinCmbVec3( siz[0]/(siz[0]+siz[1]), edg2->ver[1]->crd,
+ siz[1]/(siz[0]+siz[1]), edg2->ver[0]->crd, IntVer->crd);
+
+ return(VerInsEdg(edg1, IntVer, eps));
+ }
+ else
+ {
+ ver = NULL;
+
+ if(VerInsEdg(edg2, edg1->ver[0], eps))
+ ver = edg1->ver[0];
+ else if(VerInsEdg(edg2, edg1->ver[1], eps))
+ ver = edg1->ver[1];
+ else if(VerInsEdg(edg1, edg2->ver[0], eps))
+ ver = edg2->ver[0];
+ else if(VerInsEdg(edg1, edg2->ver[1], eps))
+ ver = edg2->ver[1];
+
+ if(ver)
+ {
+ CpyVec(ver->crd, IntVer->crd);
+ return(1);
+ }
+ }
+
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Test if a vertex belongs to an edge */
+/*----------------------------------------------------------------------------*/
+
+static itg VerInsEdg(EdgSct *edg, VerSct *ver, fpn eps)
+{
+ itg i;
+ fpn u[3], v[3];
+ VerSct img;
+
+ // Project the vertex on the edge's support line
+ PrjVerLin(ver->crd, edg->ver[0]->crd, edg->tng, img.crd);
+
+ if(DisPow(ver->crd, img.crd) > POW(eps))
+ return(0);
+
+ // Check if the image belongs to the edge
+ SubVec3(img.crd, edg->ver[0]->crd, u);
+ SubVec3(img.crd, edg->ver[1]->crd, v);
+
+ if(DotPrd(u, v) < 0)
+ return(1);
+
+ // If the vertex does not belong to the edge,
+ // it may be close to one of its vertices
+ for(i=0;i<2;i++)
+ if(DisPow(img.crd, edg->ver[i]->crd) < POW(eps))
+ return(1);
+
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute the distance between a vertex and a triangle */
+/*----------------------------------------------------------------------------*/
+
+static fpn DisVerTri(MshSct *msh, fpn VerCrd[3], TriSct *tri)
+{
+ fpn ImgCrd[3], TmpCrd[3], u[3], v[3], w[3], nrm[3], SubVol[3], TotVol;
+
+ // Project the vertex on the triangle's plane
+ PrjVerPla(VerCrd, tri->ver[0]->crd, tri->nrm, ImgCrd);
+
+ // Compute the vectors stemming from the projection to the triangle's nodes
+ SubVec3(tri->ver[0]->crd, ImgCrd, u);
+ SubVec3(tri->ver[1]->crd, ImgCrd, v);
+ SubVec3(tri->ver[2]->crd, ImgCrd, w);
+
+ // Compute the three tets' volumes
+ CrsPrd(v, w, nrm);
+ SubVol[0] = -DotPrd(nrm, tri->nrm);
+ SubVol[0] = MAX(SubVol[0], 0.);
+
+ CrsPrd(w, u, nrm);
+ SubVol[1] = -DotPrd(nrm, tri->nrm);
+ SubVol[1] = MAX(SubVol[1], 0.);
+
+ CrsPrd(u, v, nrm);
+ SubVol[2] = -DotPrd(nrm, tri->nrm);
+ SubVol[2] = MAX(SubVol[2], 0.);
+
+ // Compute the closest position with the barycentric coordinates
+ TotVol = SubVol[0] + SubVol[1] + SubVol[2];
+ MulVec2(SubVol[0] / TotVol, tri->ver[0]->crd, ImgCrd);
+ MulVec2(SubVol[1] / TotVol, tri->ver[1]->crd, TmpCrd);
+ AddVec2(TmpCrd, ImgCrd);
+ MulVec2(SubVol[2] / TotVol, tri->ver[2]->crd, TmpCrd);
+ AddVec2(TmpCrd, ImgCrd);
+
+ // Return the square of the distance
+ return(DisPow(VerCrd, ImgCrd));
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute the distance between a vertex and a quad */
+/*----------------------------------------------------------------------------*/
+
+static fpn DisVerQad(MshSct *msh, fpn VerCrd[3], QadSct *qad)
+{
+ return( MIN(DisVerTri(msh, VerCrd, &qad->tri[0]),
+ DisVerTri(msh, VerCrd, &qad->tri[1])) );
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute the distance between a vertex and a tetrahedron */
+/*----------------------------------------------------------------------------*/
+
+static fpn DisVerTet(MshSct *msh, fpn *VerCrd, TetSct *tet)
+{
+ itg i;
+ fpn CurDis, MinDis = DBL_MAX;
+ VerSct TmpVer;
+
+ CpyVec(VerCrd, TmpVer.crd);
+
+ if(VerInsTet(&TmpVer, tet, msh->eps))
+ return(0.);
+
+ for(i=0;i<4;i++)
+ {
+ CurDis = DisPow(VerCrd, tet->ver[i]->crd);
+
+ if(CurDis < MinDis)
+ MinDis = CurDis;
+ }
+
+ return(MinDis);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute the triangle's surface */
+/*----------------------------------------------------------------------------*/
+
+static fpn GetTriSrf(TriSct *tri)
+{
+ fpn nrm[3];
+
+ // Compute the cross-product vector and get its size
+ GetTriVec(tri, nrm);
+ return(GetNrmVec(nrm) / 2.);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* fpn precision computed volume on fpn coordinates */
+/*----------------------------------------------------------------------------*/
+
+static fpn GetVolTet(TetSct *tet)
+{
+ fpn c[9];
+
+ // Create the linear system, each column is filled with a vector
+ c[0] = tet->ver[1]->crd[0] - tet->ver[0]->crd[0];
+ c[1] = tet->ver[2]->crd[0] - tet->ver[0]->crd[0];
+ c[2] = tet->ver[3]->crd[0] - tet->ver[0]->crd[0];
+
+ c[3] = tet->ver[1]->crd[1] - tet->ver[0]->crd[1];
+ c[4] = tet->ver[2]->crd[1] - tet->ver[0]->crd[1];
+ c[5] = tet->ver[3]->crd[1] - tet->ver[0]->crd[1];
+
+ c[6] = tet->ver[1]->crd[2] - tet->ver[0]->crd[2];
+ c[7] = tet->ver[2]->crd[2] - tet->ver[0]->crd[2];
+ c[8] = tet->ver[3]->crd[2] - tet->ver[0]->crd[2];
+
+ // Return the "determinant" of the matrix
+ return( c[0] * (c[4]*c[8] - c[5]*c[7])
+ + c[1] * (c[5]*c[6] - c[3]*c[8])
+ + c[2] * (c[3]*c[7] - c[4]*c[6]) );
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute the distance between a vertex and an edge */
+/*----------------------------------------------------------------------------*/
+
+static fpn DisVerEdg(fpn VerCrd[3], EdgSct *edg)
+{
+ fpn dis0, dis1, TotSiz = 0.;
+ VerSct img;
+
+ PrjVerLin(VerCrd, edg->ver[0]->crd, edg->tng, img.crd);
+ TotSiz = dis(edg->ver[0]->crd, img.crd) + dis(edg->ver[1]->crd, img.crd);
+
+ if( (TotSiz - edg->siz) < .00001 * (TotSiz + edg->siz))
+ return(DisPow(VerCrd, img.crd));
+
+ dis0 = DisPow(VerCrd, edg->ver[0]->crd);
+ dis1 = DisPow(VerCrd, edg->ver[1]->crd);
+
+ return(MIN(dis0, dis1));
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute the triangle's normal vector */
+/*----------------------------------------------------------------------------*/
+
+static void GetTriVec(TriSct *tri, fpn w[3])
+{
+ fpn u[3], v[3];
+
+ // Compute the vector product
+ SubVec3(tri->ver[1]->crd, tri->ver[0]->crd, u);
+ SubVec3(tri->ver[2]->crd, tri->ver[0]->crd, v);
+ CrsPrd(v, u, w);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute and set the triangle normal vector */
+/*----------------------------------------------------------------------------*/
+
+static void SetTriNrm(TriSct *tri)
+{
+ // Compute the cross-product vector and normalize it
+ GetTriVec(tri, tri->nrm);
+ NrmVec(tri->nrm);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute and store the edge's unit tangent */
+/*----------------------------------------------------------------------------*/
+
+static void SetEdgTng(EdgSct *edg)
+{
+ SubVec3(edg->ver[1]->crd, edg->ver[0]->crd, edg->tng);
+ edg->siz = GetNrmVec(edg->tng);
+
+ if(edg->siz)
+ MulVec1(1./edg->siz, edg->tng);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute the normal projection of a point on a line */
+/*----------------------------------------------------------------------------*/
+
+static void PrjVerLin( fpn VerCrd[3], fpn LinCrd[3],
+ fpn LinTng[3], fpn ImgCrd[3] )
+{
+ fpn dp, u[3];
+
+ // Compute the scalar product of the projected vector and the edge's vector
+ SubVec3(VerCrd, LinCrd, u);
+ dp = DotPrd(u, LinTng);
+ LinCmbVec3(1., LinCrd, dp, LinTng, ImgCrd);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute the normal projection of a vertex on a plane */
+/*----------------------------------------------------------------------------*/
+
+static fpn PrjVerPla(fpn VerCrd[3], fpn PlaCrd[3],
+ fpn PlaNrm[3], fpn ImgCrd[3] )
+{
+ fpn DisPla, u[3];
+
+ // Compute the scalar product between the unit normal N and a vector V
+ // defined by the vertex to project and the base plane vertex
+ SubVec3(PlaCrd, VerCrd, u);
+ DisPla = DotPrd(u, PlaNrm);
+ MulVec2(DisPla, PlaNrm, ImgCrd);
+ AddVec2(VerCrd, ImgCrd);
+
+ // Return the absolute ditance on the fly
+ return(fabs(DisPla));
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute the distance between a vertex and a plane */
+/*----------------------------------------------------------------------------*/
+
+static fpn DisVerPla(fpn VerCrd[3], fpn PlaCrd[3], fpn PlaNrm[3])
+{
+ fpn vec[3];
+
+ SubVec3(VerCrd, PlaCrd, vec);
+ return(DotPrd(vec, PlaNrm));
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Test the intersection of two bounding boxex + epsilon */
+/*----------------------------------------------------------------------------*/
+
+static itg BoxIntBox(fpn box1[2][3], fpn box2[2][3], fpn eps)
+{
+ if(( ((box1[0][0] > box2[0][0] - eps) && (box1[0][0] < box2[1][0] + eps))
+ || ((box1[1][0] > box2[0][0] - eps) && (box1[1][0] < box2[1][0] + eps))
+ || ((box1[0][0] < box2[0][0] ) && (box1[1][0] > box2[1][0] )))
+ && ( ((box1[0][1] > box2[0][1] - eps) && (box1[0][1] < box2[1][1] + eps))
+ || ((box1[1][1] > box2[0][1] - eps) && (box1[1][1] < box2[1][1] + eps))
+ || ((box1[0][1] < box2[0][1] ) && (box1[1][1] > box2[1][1] )))
+ && ( ((box1[0][2] > box2[0][2] - eps) && (box1[0][2] < box2[1][2] + eps))
+ || ((box1[1][2] > box2[0][2] - eps) && (box1[1][2] < box2[1][2] + eps))
+ || ((box1[0][2] < box2[0][2] ) && (box1[1][2] > box2[1][2] ))) )
+ {
+ return(1);
+ }
+
+ return(0);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Compute a triangle aspect ration */
+/*----------------------------------------------------------------------------*/
+
+static fpn GetTriAni(TriSct *tri)
+{
+ fpn srf, len, MaxLen;
+
+ srf = GetTriSrf(tri);
+ MaxLen = len = DisPow(tri->ver[0]->crd, tri->ver[1]->crd);
+ len = DisPow(tri->ver[1]->crd, tri->ver[2]->crd);
+ MaxLen = MAX(len, MaxLen);
+ len = DisPow(tri->ver[2]->crd, tri->ver[0]->crd);
+ MaxLen = MAX(len, MaxLen);
+
+ return(sqrt(MaxLen / srf));
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Various basic operations on vectors */
+/*----------------------------------------------------------------------------*/
+
+// Euclidian distance
+static fpn dis(fpn a[3], fpn b[3])
+{
+ itg i;
+ fpn siz = 0;
+
+ for(i=0;i<3;i++)
+ siz += POW(b[i] - a[i]);
+
+ return(sqrt(siz));
+}
+
+// Euclidian distance to the power of two
+static fpn DisPow(fpn a[3], fpn b[3])
+{
+ itg i;
+ fpn siz = 0;
+
+ for(i=0;i<3;i++)
+ siz += POW(b[i] - a[i]);
+
+ return(siz);
+}
+
+// V = V - U
+static void SubVec2(fpn u[3], fpn v[3])
+{
+ itg i;
+
+ for(i=0;i<3;i++)
+ v[i] -= u[i];
+}
+
+// W = U - V
+static void SubVec3(fpn u[3], fpn v[3], fpn w[3])
+{
+ itg i;
+
+ for(i=0;i<3;i++)
+ w[i] = u[i] - v[i];
+}
+
+// Euclidian norm
+static void NrmVec(fpn u[3])
+{
+ itg i;
+ fpn dp = 0;
+
+ for(i=0;i<3;i++)
+ dp += u[i] * u[i];
+
+ if(dp < DBL_MIN)
+ return;
+
+ dp = 1. / sqrt(dp);
+
+ for(i=0;i<3;i++)
+ u[i] *= dp;
+}
+
+// Dot Product
+static fpn DotPrd(fpn u[3], fpn v[3])
+{
+ itg i;
+ fpn dp = 0;
+
+ for(i=0;i<3;i++)
+ dp += u[i] * v[i];
+
+ return(dp);
+}
+
+// Cross product
+static void CrsPrd(fpn u[3], fpn v[3], fpn w[3])
+{
+ w[0] = u[1] * v[2] - u[2] * v[1];
+ w[1] = u[2] * v[0] - u[0] * v[2];
+ w[2] = u[0] * v[1] - u[1] * v[0];
+}
+
+// Linear combinaison: W = a*U + b*V
+static void LinCmbVec3(fpn w1, fpn v1[3], fpn w2, fpn v2[3], fpn v3[3])
+{
+ itg i;
+
+ for(i=0;i<3;i++)
+ v3[i] = w1 * v1[i] + w2 * v2[i];
+}
+
+// U = 0
+static void ClrVec(fpn u[3])
+{
+ itg i;
+
+ for(i=0;i<3;i++)
+ u[i] = 0.;
+}
+
+// V = U
+static void CpyVec(fpn u[3], fpn v[3])
+{
+ itg i;
+
+ for(i=0;i<3;i++)
+ v[i] = u[i];
+}
+
+// V = V + U
+static void AddVec2(fpn u[3], fpn v[3])
+{
+ itg i;
+
+ for(i=0;i<3;i++)
+ v[i] += u[i];
+}
+
+// U = U + [s;s;s]
+static void AddScaVec1(fpn s, fpn u[3])
+{
+ itg i;
+
+ for(i=0;i<3;i++)
+ u[i] += s;
+}
+
+// V = U + [s;s;s]
+static void AddScaVec2(fpn s, fpn u[3], fpn v[3])
+{
+ itg i;
+
+ for(i=0;i<3;i++)
+ v[i] = u[i] + s;
+}
+
+// U = w*U
+static void MulVec1(const fpn w, fpn u[3])
+{
+ u[0] *= w;
+ u[1] *= w;
+ u[2] *= w;
+}
+
+// V = w*U
+static void MulVec2(fpn w, fpn u[3], fpn v[3])
+{
+ itg i;
+
+ for(i=0;i<3;i++)
+ v[i] = w * u[i];
+}
+
+// Return Euclidian norm
+static fpn GetNrmVec(fpn u[3])
+{
+ return(sqrt(POW(u[0]) + POW(u[1]) + POW(u[2])));
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Allocate a chunk of memory and link it to memory allocator's list */
+/*----------------------------------------------------------------------------*/
+
+static void *NewMem(TreSct *tre, size_t siz)
+{
+ MemSct *mem;
+
+ mem = malloc(sizeof(MemSct));
+ assert(mem);
+ mem->adr = malloc(siz);
+ assert(mem->adr);
+ mem->siz = siz;
+ mem->nex = tre->NexMem;
+ tre->NexMem = mem;
+ tre->MemUse += siz;
+
+ return(mem->adr);
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Cylct through the linked list of allocated block and free them all */
+/*----------------------------------------------------------------------------*/
+
+static void FreAllMem(TreSct *tre)
+{
+ MemSct *mem = tre->NexMem, *nex;
+
+ while(mem)
+ {
+ tre->MemUse -= mem->siz;
+ nex = mem->nex;
+ free(mem->adr);
+ free(mem);
+ mem = nex;
+ }
+}
+
+
+/*----------------------------------------------------------------------------*/
+/* Fortran 77 API */
+/*----------------------------------------------------------------------------*/
+
+int64_t call(lolnewoctree)(itg *NmbVer, fpn *VerTab1, fpn *VerTab2,
+ itg *NmbEdg, itg *EdgTab1, itg *EdgTab2,
+ itg *NmbTri, itg *TriTab1, itg *TriTab2,
+ itg *NmbQad, itg *QadTab1, itg *QadTab2,
+ itg *NmbTet, itg *TetTab1, itg *TetTab2,
+ itg *NmbPyr, itg *PyrTab1, itg *PyrTab2,
+ itg *NmbPri, itg *PriTab1, itg *PriTab2,
+ itg *NmbHex, itg *HexTab1, itg *HexTab2,
+ itg *BasIdx, itg *NmbThr)
+{
+ return(LolNewOctree( *NmbVer, VerTab1, VerTab2, *NmbEdg, EdgTab1, EdgTab2,
+ *NmbTri, TriTab1, TriTab2, *NmbQad, QadTab1, QadTab2,
+ *NmbTet, TetTab1, TetTab2, *NmbPyr, PyrTab1, PyrTab2,
+ *NmbPri, PriTab1, PriTab2, *NmbHex, HexTab1, HexTab2,
+ *BasIdx, *NmbThr ));
+}
+
+int64_t call(lolfreeoctree)(int64_t *OctIdx)
+{
+ return(LolFreeOctree(*OctIdx));
+}
+
+itg call(lolgetboundingbox)( int64_t *OctIdx, itg *typ, itg *MaxItm,
+ itg *ItmTab, fpn *MinCrd, fpn *MaxCrd, itg *ThrIdx )
+{
+ return(LolGetBoundingBox(*OctIdx, *typ, *MaxItm, ItmTab, MinCrd, MaxCrd, *ThrIdx));
+}
+
+itg call(lolgetnearest)(int64_t *OctIdx, itg *typ, fpn *MinCrd, fpn *MinDis,
+ fpn *MaxDis, void *UsrPrc, void *UsrDat, itg *ThrIdx)
+{
+ return(LolGetNearest(*OctIdx, *typ, MinCrd, MinDis,
+ *MaxDis, UsrPrc, UsrDat, *ThrIdx));
+}
diff --git a/Common/libol1.h b/Common/libol1.h
new file mode 100644
index 0000000000000000000000000000000000000000..1bcc2c9692ee1f77e56b71eeb25e48e404b1c74a
--- /dev/null
+++ b/Common/libol1.h
@@ -0,0 +1,105 @@
+// All libOL code is Copyright 2012-2018 - by Loïc Maréchal / INRIA.
+// This program is a free software.
+// You can redistribute it and/or modify it under the terms of the MIT License
+// as published by the Open Source Initiative.
+//
+// This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY;
+// without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
+// See the MIT License for more details.
+//
+// You should have received a copy of the MIT License along with this program
+// as the file LICENSE.txt; if not, please see:
+// https://opensource.org/licenses/MIT
+//
+//
+// MIT License
+//
+// Copyright (c) 2012-2018 Loïc Maréchal / INRIA
+//
+// Permission is hereby granted, free of charge, to any person obtaining a copy
+// of this software and associated documentation files (the "Software"), to deal
+// in the Software without restriction, including without limitation the rights
+// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the Software is
+// furnished to do so, subject to the following conditions:
+//
+// The above copyright notice and this permission notice shall be included in all
+// copies or substantial portions of the Software.
+//
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+// SOFTWARE.
+
+/*----------------------------------------------------------------------------*/
+/* */
+/* LIB OCTREE LOCALISATION V1.70 */
+/* */
+/*----------------------------------------------------------------------------*/
+/* */
+/* Description: Octree for mesh localization */
+/* Author: Loic MARECHAL */
+/* Creation date: mar 16 2012 */
+/* Last modification: feb 03 2021 */
+/* */
+/*----------------------------------------------------------------------------*/
+
+
+/*----------------------------------------------------------------------------*/
+/* Public defines : type of elements and 32/64 bits int and floating points */
+/*----------------------------------------------------------------------------*/
+
+enum TypTag { LolTypVer=1, LolTypEdg, LolTypTri, LolTypQad,
+ LolTypTet, LolTypPyr, LolTypPri, LolTypHex, LolNmbTyp };
+
+
+/*----------------------------------------------------------------------------*/
+/* Set integer and floating point sizes: */
+/* default values are 32-bit integers and 64-bit floating points */
+/* define INT64 or REAL32 to override default settings */
+/*----------------------------------------------------------------------------*/
+
+#ifdef INT64
+#define itg int64_t
+#define utg uint64_t
+#else
+#define itg int32_t
+#define utg uint32_t
+#endif
+
+#ifdef REAL32
+#define fpn float
+#else
+#define fpn double
+#endif
+
+
+/*----------------------------------------------------------------------------*/
+/* Public procedures */
+/*----------------------------------------------------------------------------*/
+
+int64_t LolNewOctree (itg, fpn *, fpn *, itg, itg *, itg *,
+ itg, itg *, itg *, itg, itg *, itg *,
+ itg, itg *, itg *, itg, itg *, itg *,
+ itg, itg *, itg *, itg, itg *, itg *, itg, itg);
+size_t LolFreeOctree (int64_t);
+itg LolGetBoundingBox (int64_t , itg , itg, itg *, fpn [3], fpn [3], itg);
+itg LolGetNearest (int64_t, itg, fpn *, fpn *, fpn, itg (void *, itg),
+ void * , itg);
+itg LolIntersectSurface(int64_t, fpn *, fpn *, fpn *,
+ fpn, itg (void *, itg), void *, itg );
+itg LolProjectVertex (int64_t, fpn *, itg, itg, fpn *, itg);
+
+
+/*----------------------------------------------------------------------------*/
+/* Fortran 77 API */
+/*----------------------------------------------------------------------------*/
+
+#if defined(F77_NO_UNDER_SCORE)
+#define call(x) x
+#else
+#define call(x) x ## _
+#endif
diff --git a/Common/robin_hood.h b/Common/robin_hood.h
new file mode 100644
index 0000000000000000000000000000000000000000..573607f18d056adfba936f0ccee7c14df62e8a3d
--- /dev/null
+++ b/Common/robin_hood.h
@@ -0,0 +1,2429 @@
+// ______ _____ ______ _________
+// ______________ ___ /_ ___(_)_______ ___ /_ ______ ______ ______ /
+// __ ___/_ __ \__ __ \__ / __ __ \ __ __ \_ __ \_ __ \_ __ /
+// _ / / /_/ /_ /_/ /_ / _ / / / _ / / // /_/ // /_/ // /_/ /
+// /_/ \____/ /_.___/ /_/ /_/ /_/ ________/_/ /_/ \____/ \____/ \__,_/
+// _/_____/
+//
+// Fast & memory efficient hashtable based on robin hood hashing for C++11/14/17/20
+// https://github.com/martinus/robin-hood-hashing
+//
+// Licensed under the MIT License <http://opensource.org/licenses/MIT>.
+// SPDX-License-Identifier: MIT
+// Copyright (c) 2018-2020 Martin Ankerl <http://martin.ankerl.com>
+//
+// Permission is hereby granted, free of charge, to any person obtaining a copy
+// of this software and associated documentation files (the "Software"), to deal
+// in the Software without restriction, including without limitation the rights
+// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the Software is
+// furnished to do so, subject to the following conditions:
+//
+// The above copyright notice and this permission notice shall be included in all
+// copies or substantial portions of the Software.
+//
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+// SOFTWARE.
+
+#ifndef ROBIN_HOOD_H_INCLUDED
+#define ROBIN_HOOD_H_INCLUDED
+
+// see https://semver.org/
+#define ROBIN_HOOD_VERSION_MAJOR 3 // for incompatible API changes
+#define ROBIN_HOOD_VERSION_MINOR 9 // for adding functionality in a backwards-compatible manner
+#define ROBIN_HOOD_VERSION_PATCH 1 // for backwards-compatible bug fixes
+
+#include <algorithm>
+#include <cstdlib>
+#include <cstring>
+#include <functional>
+#include <memory> // only to support hash of smart pointers
+#include <stdexcept>
+#include <string>
+#include <type_traits>
+#include <utility>
+#if __cplusplus >= 201703L
+# include <string_view>
+#endif
+
+// #define ROBIN_HOOD_LOG_ENABLED
+#ifdef ROBIN_HOOD_LOG_ENABLED
+# include <iostream>
+# define ROBIN_HOOD_LOG(...) \
+ std::cout << __FUNCTION__ << "@" << __LINE__ << ": " << __VA_ARGS__ << std::endl;
+#else
+# define ROBIN_HOOD_LOG(x)
+#endif
+
+// #define ROBIN_HOOD_TRACE_ENABLED
+#ifdef ROBIN_HOOD_TRACE_ENABLED
+# include <iostream>
+# define ROBIN_HOOD_TRACE(...) \
+ std::cout << __FUNCTION__ << "@" << __LINE__ << ": " << __VA_ARGS__ << std::endl;
+#else
+# define ROBIN_HOOD_TRACE(x)
+#endif
+
+// #define ROBIN_HOOD_COUNT_ENABLED
+#ifdef ROBIN_HOOD_COUNT_ENABLED
+# include <iostream>
+# define ROBIN_HOOD_COUNT(x) ++counts().x;
+namespace robin_hood {
+struct Counts {
+ uint64_t shiftUp{};
+ uint64_t shiftDown{};
+};
+inline std::ostream& operator<<(std::ostream& os, Counts const& c) {
+ return os << c.shiftUp << " shiftUp" << std::endl << c.shiftDown << " shiftDown" << std::endl;
+}
+
+static Counts& counts() {
+ static Counts counts{};
+ return counts;
+}
+} // namespace robin_hood
+#else
+# define ROBIN_HOOD_COUNT(x)
+#endif
+
+// all non-argument macros should use this facility. See
+// https://www.fluentcpp.com/2019/05/28/better-macros-better-flags/
+#define ROBIN_HOOD(x) ROBIN_HOOD_PRIVATE_DEFINITION_##x()
+
+// mark unused members with this macro
+#define ROBIN_HOOD_UNUSED(identifier)
+
+// bitness
+#if SIZE_MAX == UINT32_MAX
+# define ROBIN_HOOD_PRIVATE_DEFINITION_BITNESS() 32
+#elif SIZE_MAX == UINT64_MAX
+# define ROBIN_HOOD_PRIVATE_DEFINITION_BITNESS() 64
+#else
+# error Unsupported bitness
+#endif
+
+// endianess
+#ifdef _MSC_VER
+# define ROBIN_HOOD_PRIVATE_DEFINITION_LITTLE_ENDIAN() 1
+# define ROBIN_HOOD_PRIVATE_DEFINITION_BIG_ENDIAN() 0
+#else
+# define ROBIN_HOOD_PRIVATE_DEFINITION_LITTLE_ENDIAN() \
+ (__BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__)
+# define ROBIN_HOOD_PRIVATE_DEFINITION_BIG_ENDIAN() (__BYTE_ORDER__ == __ORDER_BIG_ENDIAN__)
+#endif
+
+// inline
+#ifdef _MSC_VER
+# define ROBIN_HOOD_PRIVATE_DEFINITION_NOINLINE() __declspec(noinline)
+#else
+# define ROBIN_HOOD_PRIVATE_DEFINITION_NOINLINE() __attribute__((noinline))
+#endif
+
+// exceptions
+#if !defined(__cpp_exceptions) && !defined(__EXCEPTIONS) && !defined(_CPPUNWIND)
+# define ROBIN_HOOD_PRIVATE_DEFINITION_HAS_EXCEPTIONS() 0
+#else
+# define ROBIN_HOOD_PRIVATE_DEFINITION_HAS_EXCEPTIONS() 1
+#endif
+
+// count leading/trailing bits
+#if !defined(ROBIN_HOOD_DISABLE_INTRINSICS)
+# ifdef _MSC_VER
+# if ROBIN_HOOD(BITNESS) == 32
+# define ROBIN_HOOD_PRIVATE_DEFINITION_BITSCANFORWARD() _BitScanForward
+# else
+# define ROBIN_HOOD_PRIVATE_DEFINITION_BITSCANFORWARD() _BitScanForward64
+# endif
+# include <intrin.h>
+# pragma intrinsic(ROBIN_HOOD(BITSCANFORWARD))
+# define ROBIN_HOOD_COUNT_TRAILING_ZEROES(x) \
+ [](size_t mask) noexcept -> int { \
+ unsigned long index; \
+ return ROBIN_HOOD(BITSCANFORWARD)(&index, mask) ? static_cast<int>(index) \
+ : ROBIN_HOOD(BITNESS); \
+ }(x)
+# else
+# if ROBIN_HOOD(BITNESS) == 32
+# define ROBIN_HOOD_PRIVATE_DEFINITION_CTZ() __builtin_ctzl
+# define ROBIN_HOOD_PRIVATE_DEFINITION_CLZ() __builtin_clzl
+# else
+# define ROBIN_HOOD_PRIVATE_DEFINITION_CTZ() __builtin_ctzll
+# define ROBIN_HOOD_PRIVATE_DEFINITION_CLZ() __builtin_clzll
+# endif
+# define ROBIN_HOOD_COUNT_LEADING_ZEROES(x) ((x) ? ROBIN_HOOD(CLZ)(x) : ROBIN_HOOD(BITNESS))
+# define ROBIN_HOOD_COUNT_TRAILING_ZEROES(x) ((x) ? ROBIN_HOOD(CTZ)(x) : ROBIN_HOOD(BITNESS))
+# endif
+#endif
+
+// fallthrough
+#ifndef __has_cpp_attribute // For backwards compatibility
+# define __has_cpp_attribute(x) 0
+#endif
+#if __has_cpp_attribute(clang::fallthrough)
+# define ROBIN_HOOD_PRIVATE_DEFINITION_FALLTHROUGH() [[clang::fallthrough]]
+#elif __has_cpp_attribute(gnu::fallthrough)
+# define ROBIN_HOOD_PRIVATE_DEFINITION_FALLTHROUGH() [[gnu::fallthrough]]
+#else
+# define ROBIN_HOOD_PRIVATE_DEFINITION_FALLTHROUGH()
+#endif
+
+// likely/unlikely
+#ifdef _MSC_VER
+# define ROBIN_HOOD_LIKELY(condition) condition
+# define ROBIN_HOOD_UNLIKELY(condition) condition
+#else
+# define ROBIN_HOOD_LIKELY(condition) __builtin_expect(condition, 1)
+# define ROBIN_HOOD_UNLIKELY(condition) __builtin_expect(condition, 0)
+#endif
+
+// detect if native wchar_t type is availiable in MSVC
+#ifdef _MSC_VER
+# ifdef _NATIVE_WCHAR_T_DEFINED
+# define ROBIN_HOOD_PRIVATE_DEFINITION_HAS_NATIVE_WCHART() 1
+# else
+# define ROBIN_HOOD_PRIVATE_DEFINITION_HAS_NATIVE_WCHART() 0
+# endif
+#else
+# define ROBIN_HOOD_PRIVATE_DEFINITION_HAS_NATIVE_WCHART() 1
+#endif
+
+// workaround missing "is_trivially_copyable" in g++ < 5.0
+// See https://stackoverflow.com/a/31798726/48181
+#if defined(__GNUC__) && __GNUC__ < 5
+# define ROBIN_HOOD_IS_TRIVIALLY_COPYABLE(...) __has_trivial_copy(__VA_ARGS__)
+#else
+# define ROBIN_HOOD_IS_TRIVIALLY_COPYABLE(...) std::is_trivially_copyable<__VA_ARGS__>::value
+#endif
+
+// helpers for C++ versions, see https://gcc.gnu.org/onlinedocs/cpp/Standard-Predefined-Macros.html
+#define ROBIN_HOOD_PRIVATE_DEFINITION_CXX() __cplusplus
+#define ROBIN_HOOD_PRIVATE_DEFINITION_CXX98() 199711L
+#define ROBIN_HOOD_PRIVATE_DEFINITION_CXX11() 201103L
+#define ROBIN_HOOD_PRIVATE_DEFINITION_CXX14() 201402L
+#define ROBIN_HOOD_PRIVATE_DEFINITION_CXX17() 201703L
+
+#if ROBIN_HOOD(CXX) >= ROBIN_HOOD(CXX17)
+# define ROBIN_HOOD_PRIVATE_DEFINITION_NODISCARD() [[nodiscard]]
+#else
+# define ROBIN_HOOD_PRIVATE_DEFINITION_NODISCARD()
+#endif
+
+namespace robin_hood {
+
+#if ROBIN_HOOD(CXX) >= ROBIN_HOOD(CXX14)
+# define ROBIN_HOOD_STD std
+#else
+
+// c++11 compatibility layer
+namespace ROBIN_HOOD_STD {
+template <class T>
+struct alignment_of
+ : std::integral_constant<std::size_t, alignof(typename std::remove_all_extents<T>::type)> {};
+
+template <class T, T... Ints>
+class integer_sequence {
+public:
+ using value_type = T;
+ static_assert(std::is_integral<value_type>::value, "not integral type");
+ static constexpr std::size_t size() noexcept {
+ return sizeof...(Ints);
+ }
+};
+template <std::size_t... Inds>
+using index_sequence = integer_sequence<std::size_t, Inds...>;
+
+namespace detail_ {
+template <class T, T Begin, T End, bool>
+struct IntSeqImpl {
+ using TValue = T;
+ static_assert(std::is_integral<TValue>::value, "not integral type");
+ static_assert(Begin >= 0 && Begin < End, "unexpected argument (Begin<0 || Begin<=End)");
+
+ template <class, class>
+ struct IntSeqCombiner;
+
+ template <TValue... Inds0, TValue... Inds1>
+ struct IntSeqCombiner<integer_sequence<TValue, Inds0...>, integer_sequence<TValue, Inds1...>> {
+ using TResult = integer_sequence<TValue, Inds0..., Inds1...>;
+ };
+
+ using TResult =
+ typename IntSeqCombiner<typename IntSeqImpl<TValue, Begin, Begin + (End - Begin) / 2,
+ (End - Begin) / 2 == 1>::TResult,
+ typename IntSeqImpl<TValue, Begin + (End - Begin) / 2, End,
+ (End - Begin + 1) / 2 == 1>::TResult>::TResult;
+};
+
+template <class T, T Begin>
+struct IntSeqImpl<T, Begin, Begin, false> {
+ using TValue = T;
+ static_assert(std::is_integral<TValue>::value, "not integral type");
+ static_assert(Begin >= 0, "unexpected argument (Begin<0)");
+ using TResult = integer_sequence<TValue>;
+};
+
+template <class T, T Begin, T End>
+struct IntSeqImpl<T, Begin, End, true> {
+ using TValue = T;
+ static_assert(std::is_integral<TValue>::value, "not integral type");
+ static_assert(Begin >= 0, "unexpected argument (Begin<0)");
+ using TResult = integer_sequence<TValue, Begin>;
+};
+} // namespace detail_
+
+template <class T, T N>
+using make_integer_sequence = typename detail_::IntSeqImpl<T, 0, N, (N - 0) == 1>::TResult;
+
+template <std::size_t N>
+using make_index_sequence = make_integer_sequence<std::size_t, N>;
+
+template <class... T>
+using index_sequence_for = make_index_sequence<sizeof...(T)>;
+
+} // namespace ROBIN_HOOD_STD
+
+#endif
+
+namespace detail {
+
+// make sure we static_cast to the correct type for hash_int
+#if ROBIN_HOOD(BITNESS) == 64
+using SizeT = uint64_t;
+#else
+using SizeT = uint32_t;
+#endif
+
+template <typename T>
+T rotr(T x, unsigned k) {
+ return (x >> k) | (x << (8U * sizeof(T) - k));
+}
+
+// This cast gets rid of warnings like "cast from 'uint8_t*' {aka 'unsigned char*'} to
+// 'uint64_t*' {aka 'long unsigned int*'} increases required alignment of target type". Use with
+// care!
+template <typename T>
+inline T reinterpret_cast_no_cast_align_warning(void* ptr) noexcept {
+ return reinterpret_cast<T>(ptr);
+}
+
+template <typename T>
+inline T reinterpret_cast_no_cast_align_warning(void const* ptr) noexcept {
+ return reinterpret_cast<T>(ptr);
+}
+
+// make sure this is not inlined as it is slow and dramatically enlarges code, thus making other
+// inlinings more difficult. Throws are also generally the slow path.
+template <typename E, typename... Args>
+[[noreturn]] ROBIN_HOOD(NOINLINE)
+#if ROBIN_HOOD(HAS_EXCEPTIONS)
+ void doThrow(Args&&... args) {
+ // NOLINTNEXTLINE(cppcoreguidelines-pro-bounds-array-to-pointer-decay)
+ throw E(std::forward<Args>(args)...);
+}
+#else
+ void doThrow(Args&&... ROBIN_HOOD_UNUSED(args) /*unused*/) {
+ abort();
+}
+#endif
+
+template <typename E, typename T, typename... Args>
+T* assertNotNull(T* t, Args&&... args) {
+ if (ROBIN_HOOD_UNLIKELY(nullptr == t)) {
+ doThrow<E>(std::forward<Args>(args)...);
+ }
+ return t;
+}
+
+template <typename T>
+inline T unaligned_load(void const* ptr) noexcept {
+ // using memcpy so we don't get into unaligned load problems.
+ // compiler should optimize this very well anyways.
+ T t;
+ std::memcpy(&t, ptr, sizeof(T));
+ return t;
+}
+
+// Allocates bulks of memory for objects of type T. This deallocates the memory in the destructor,
+// and keeps a linked list of the allocated memory around. Overhead per allocation is the size of a
+// pointer.
+template <typename T, size_t MinNumAllocs = 4, size_t MaxNumAllocs = 256>
+class BulkPoolAllocator {
+public:
+ BulkPoolAllocator() noexcept = default;
+
+ // does not copy anything, just creates a new allocator.
+ BulkPoolAllocator(const BulkPoolAllocator& ROBIN_HOOD_UNUSED(o) /*unused*/) noexcept
+ : mHead(nullptr)
+ , mListForFree(nullptr) {}
+
+ BulkPoolAllocator(BulkPoolAllocator&& o) noexcept
+ : mHead(o.mHead)
+ , mListForFree(o.mListForFree) {
+ o.mListForFree = nullptr;
+ o.mHead = nullptr;
+ }
+
+ BulkPoolAllocator& operator=(BulkPoolAllocator&& o) noexcept {
+ reset();
+ mHead = o.mHead;
+ mListForFree = o.mListForFree;
+ o.mListForFree = nullptr;
+ o.mHead = nullptr;
+ return *this;
+ }
+
+ BulkPoolAllocator&
+ // NOLINTNEXTLINE(bugprone-unhandled-self-assignment,cert-oop54-cpp)
+ operator=(const BulkPoolAllocator& ROBIN_HOOD_UNUSED(o) /*unused*/) noexcept {
+ // does not do anything
+ return *this;
+ }
+
+ ~BulkPoolAllocator() noexcept {
+ reset();
+ }
+
+ // Deallocates all allocated memory.
+ void reset() noexcept {
+ while (mListForFree) {
+ T* tmp = *mListForFree;
+ ROBIN_HOOD_LOG("std::free")
+ std::free(mListForFree);
+ mListForFree = reinterpret_cast_no_cast_align_warning<T**>(tmp);
+ }
+ mHead = nullptr;
+ }
+
+ // allocates, but does NOT initialize. Use in-place new constructor, e.g.
+ // T* obj = pool.allocate();
+ // ::new (static_cast<void*>(obj)) T();
+ T* allocate() {
+ T* tmp = mHead;
+ if (!tmp) {
+ tmp = performAllocation();
+ }
+
+ mHead = *reinterpret_cast_no_cast_align_warning<T**>(tmp);
+ return tmp;
+ }
+
+ // does not actually deallocate but puts it in store.
+ // make sure you have already called the destructor! e.g. with
+ // obj->~T();
+ // pool.deallocate(obj);
+ void deallocate(T* obj) noexcept {
+ *reinterpret_cast_no_cast_align_warning<T**>(obj) = mHead;
+ mHead = obj;
+ }
+
+ // Adds an already allocated block of memory to the allocator. This allocator is from now on
+ // responsible for freeing the data (with free()). If the provided data is not large enough to
+ // make use of, it is immediately freed. Otherwise it is reused and freed in the destructor.
+ void addOrFree(void* ptr, const size_t numBytes) noexcept {
+ // calculate number of available elements in ptr
+ if (numBytes < ALIGNMENT + ALIGNED_SIZE) {
+ // not enough data for at least one element. Free and return.
+ ROBIN_HOOD_LOG("std::free")
+ std::free(ptr);
+ } else {
+ ROBIN_HOOD_LOG("add to buffer")
+ add(ptr, numBytes);
+ }
+ }
+
+ void swap(BulkPoolAllocator<T, MinNumAllocs, MaxNumAllocs>& other) noexcept {
+ using std::swap;
+ swap(mHead, other.mHead);
+ swap(mListForFree, other.mListForFree);
+ }
+
+private:
+ // iterates the list of allocated memory to calculate how many to alloc next.
+ // Recalculating this each time saves us a size_t member.
+ // This ignores the fact that memory blocks might have been added manually with addOrFree. In
+ // practice, this should not matter much.
+ ROBIN_HOOD(NODISCARD) size_t calcNumElementsToAlloc() const noexcept {
+ auto tmp = mListForFree;
+ size_t numAllocs = MinNumAllocs;
+
+ while (numAllocs * 2 <= MaxNumAllocs && tmp) {
+ auto x = reinterpret_cast<T***>(tmp);
+ tmp = *x;
+ numAllocs *= 2;
+ }
+
+ return numAllocs;
+ }
+
+ // WARNING: Underflow if numBytes < ALIGNMENT! This is guarded in addOrFree().
+ void add(void* ptr, const size_t numBytes) noexcept {
+ const size_t numElements = (numBytes - ALIGNMENT) / ALIGNED_SIZE;
+
+ auto data = reinterpret_cast<T**>(ptr);
+
+ // link free list
+ auto x = reinterpret_cast<T***>(data);
+ *x = mListForFree;
+ mListForFree = data;
+
+ // create linked list for newly allocated data
+ auto* const headT =
+ reinterpret_cast_no_cast_align_warning<T*>(reinterpret_cast<char*>(ptr) + ALIGNMENT);
+
+ auto* const head = reinterpret_cast<char*>(headT);
+
+ // Visual Studio compiler automatically unrolls this loop, which is pretty cool
+ for (size_t i = 0; i < numElements; ++i) {
+ *reinterpret_cast_no_cast_align_warning<char**>(head + i * ALIGNED_SIZE) =
+ head + (i + 1) * ALIGNED_SIZE;
+ }
+
+ // last one points to 0
+ *reinterpret_cast_no_cast_align_warning<T**>(head + (numElements - 1) * ALIGNED_SIZE) =
+ mHead;
+ mHead = headT;
+ }
+
+ // Called when no memory is available (mHead == 0).
+ // Don't inline this slow path.
+ ROBIN_HOOD(NOINLINE) T* performAllocation() {
+ size_t const numElementsToAlloc = calcNumElementsToAlloc();
+
+ // alloc new memory: [prev |T, T, ... T]
+ size_t const bytes = ALIGNMENT + ALIGNED_SIZE * numElementsToAlloc;
+ ROBIN_HOOD_LOG("std::malloc " << bytes << " = " << ALIGNMENT << " + " << ALIGNED_SIZE
+ << " * " << numElementsToAlloc)
+ add(assertNotNull<std::bad_alloc>(std::malloc(bytes)), bytes);
+ return mHead;
+ }
+
+ // enforce byte alignment of the T's
+#if ROBIN_HOOD(CXX) >= ROBIN_HOOD(CXX14)
+ static constexpr size_t ALIGNMENT =
+ (std::max)(std::alignment_of<T>::value, std::alignment_of<T*>::value);
+#else
+ static const size_t ALIGNMENT =
+ (ROBIN_HOOD_STD::alignment_of<T>::value > ROBIN_HOOD_STD::alignment_of<T*>::value)
+ ? ROBIN_HOOD_STD::alignment_of<T>::value
+ : +ROBIN_HOOD_STD::alignment_of<T*>::value; // the + is for walkarround
+#endif
+
+ static constexpr size_t ALIGNED_SIZE = ((sizeof(T) - 1) / ALIGNMENT + 1) * ALIGNMENT;
+
+ static_assert(MinNumAllocs >= 1, "MinNumAllocs");
+ static_assert(MaxNumAllocs >= MinNumAllocs, "MaxNumAllocs");
+ static_assert(ALIGNED_SIZE >= sizeof(T*), "ALIGNED_SIZE");
+ static_assert(0 == (ALIGNED_SIZE % sizeof(T*)), "ALIGNED_SIZE mod");
+ static_assert(ALIGNMENT >= sizeof(T*), "ALIGNMENT");
+
+ T* mHead{nullptr};
+ T** mListForFree{nullptr};
+};
+
+template <typename T, size_t MinSize, size_t MaxSize, bool IsFlat>
+struct NodeAllocator;
+
+// dummy allocator that does nothing
+template <typename T, size_t MinSize, size_t MaxSize>
+struct NodeAllocator<T, MinSize, MaxSize, true> {
+
+ // we are not using the data, so just free it.
+ void addOrFree(void* ptr, size_t ROBIN_HOOD_UNUSED(numBytes) /*unused*/) noexcept {
+ ROBIN_HOOD_LOG("std::free")
+ std::free(ptr);
+ }
+};
+
+template <typename T, size_t MinSize, size_t MaxSize>
+struct NodeAllocator<T, MinSize, MaxSize, false> : public BulkPoolAllocator<T, MinSize, MaxSize> {};
+
+// dummy hash, unsed as mixer when robin_hood::hash is already used
+template <typename T>
+struct identity_hash {
+ constexpr size_t operator()(T const& obj) const noexcept {
+ return static_cast<size_t>(obj);
+ }
+};
+
+// c++14 doesn't have is_nothrow_swappable, and clang++ 6.0.1 doesn't like it either, so I'm making
+// my own here.
+namespace swappable {
+#if ROBIN_HOOD(CXX) < ROBIN_HOOD(CXX17)
+using std::swap;
+template <typename T>
+struct nothrow {
+ static const bool value = noexcept(swap(std::declval<T&>(), std::declval<T&>()));
+};
+#else
+template <typename T>
+struct nothrow {
+ static const bool value = std::is_nothrow_swappable<T>::value;
+};
+#endif
+} // namespace swappable
+
+} // namespace detail
+
+struct is_transparent_tag {};
+
+// A custom pair implementation is used in the map because std::pair is not is_trivially_copyable,
+// which means it would not be allowed to be used in std::memcpy. This struct is copyable, which is
+// also tested.
+template <typename T1, typename T2>
+struct pair {
+ using first_type = T1;
+ using second_type = T2;
+
+ template <typename U1 = T1, typename U2 = T2,
+ typename = typename std::enable_if<std::is_default_constructible<U1>::value &&
+ std::is_default_constructible<U2>::value>::type>
+ constexpr pair() noexcept(noexcept(U1()) && noexcept(U2()))
+ : first()
+ , second() {}
+
+ // pair constructors are explicit so we don't accidentally call this ctor when we don't have to.
+ explicit constexpr pair(std::pair<T1, T2> const& o) noexcept(
+ noexcept(T1(std::declval<T1 const&>())) && noexcept(T2(std::declval<T2 const&>())))
+ : first(o.first)
+ , second(o.second) {}
+
+ // pair constructors are explicit so we don't accidentally call this ctor when we don't have to.
+ explicit constexpr pair(std::pair<T1, T2>&& o) noexcept(noexcept(
+ T1(std::move(std::declval<T1&&>()))) && noexcept(T2(std::move(std::declval<T2&&>()))))
+ : first(std::move(o.first))
+ , second(std::move(o.second)) {}
+
+ constexpr pair(T1&& a, T2&& b) noexcept(noexcept(
+ T1(std::move(std::declval<T1&&>()))) && noexcept(T2(std::move(std::declval<T2&&>()))))
+ : first(std::move(a))
+ , second(std::move(b)) {}
+
+ template <typename U1, typename U2>
+ constexpr pair(U1&& a, U2&& b) noexcept(noexcept(T1(std::forward<U1>(
+ std::declval<U1&&>()))) && noexcept(T2(std::forward<U2>(std::declval<U2&&>()))))
+ : first(std::forward<U1>(a))
+ , second(std::forward<U2>(b)) {}
+
+ template <typename... U1, typename... U2>
+ constexpr pair(
+ std::piecewise_construct_t /*unused*/, std::tuple<U1...> a,
+ std::tuple<U2...> b) noexcept(noexcept(pair(std::declval<std::tuple<U1...>&>(),
+ std::declval<std::tuple<U2...>&>(),
+ ROBIN_HOOD_STD::index_sequence_for<U1...>(),
+ ROBIN_HOOD_STD::index_sequence_for<U2...>())))
+ : pair(a, b, ROBIN_HOOD_STD::index_sequence_for<U1...>(),
+ ROBIN_HOOD_STD::index_sequence_for<U2...>()) {}
+
+ // constructor called from the std::piecewise_construct_t ctor
+ template <typename... U1, size_t... I1, typename... U2, size_t... I2>
+ pair(std::tuple<U1...>& a, std::tuple<U2...>& b, ROBIN_HOOD_STD::index_sequence<I1...> /*unused*/, ROBIN_HOOD_STD::index_sequence<I2...> /*unused*/) noexcept(
+ noexcept(T1(std::forward<U1>(std::get<I1>(
+ std::declval<std::tuple<
+ U1...>&>()))...)) && noexcept(T2(std::
+ forward<U2>(std::get<I2>(
+ std::declval<std::tuple<U2...>&>()))...)))
+ : first(std::forward<U1>(std::get<I1>(a))...)
+ , second(std::forward<U2>(std::get<I2>(b))...) {
+ // make visual studio compiler happy about warning about unused a & b.
+ // Visual studio's pair implementation disables warning 4100.
+ (void)a;
+ (void)b;
+ }
+
+ void swap(pair<T1, T2>& o) noexcept((detail::swappable::nothrow<T1>::value) &&
+ (detail::swappable::nothrow<T2>::value)) {
+ using std::swap;
+ swap(first, o.first);
+ swap(second, o.second);
+ }
+
+ T1 first; // NOLINT(misc-non-private-member-variables-in-classes)
+ T2 second; // NOLINT(misc-non-private-member-variables-in-classes)
+};
+
+template <typename A, typename B>
+inline void swap(pair<A, B>& a, pair<A, B>& b) noexcept(
+ noexcept(std::declval<pair<A, B>&>().swap(std::declval<pair<A, B>&>()))) {
+ a.swap(b);
+}
+
+template <typename A, typename B>
+inline constexpr bool operator==(pair<A, B> const& x, pair<A, B> const& y) {
+ return (x.first == y.first) && (x.second == y.second);
+}
+template <typename A, typename B>
+inline constexpr bool operator!=(pair<A, B> const& x, pair<A, B> const& y) {
+ return !(x == y);
+}
+template <typename A, typename B>
+inline constexpr bool operator<(pair<A, B> const& x, pair<A, B> const& y) noexcept(noexcept(
+ std::declval<A const&>() < std::declval<A const&>()) && noexcept(std::declval<B const&>() <
+ std::declval<B const&>())) {
+ return x.first < y.first || (!(y.first < x.first) && x.second < y.second);
+}
+template <typename A, typename B>
+inline constexpr bool operator>(pair<A, B> const& x, pair<A, B> const& y) {
+ return y < x;
+}
+template <typename A, typename B>
+inline constexpr bool operator<=(pair<A, B> const& x, pair<A, B> const& y) {
+ return !(x > y);
+}
+template <typename A, typename B>
+inline constexpr bool operator>=(pair<A, B> const& x, pair<A, B> const& y) {
+ return !(x < y);
+}
+
+inline size_t hash_bytes(void const* ptr, size_t len) noexcept {
+ static constexpr uint64_t m = UINT64_C(0xc6a4a7935bd1e995);
+ static constexpr uint64_t seed = UINT64_C(0xe17a1465);
+ static constexpr unsigned int r = 47;
+
+ auto const* const data64 = static_cast<uint64_t const*>(ptr);
+ uint64_t h = seed ^ (len * m);
+
+ size_t const n_blocks = len / 8;
+ for (size_t i = 0; i < n_blocks; ++i) {
+ auto k = detail::unaligned_load<uint64_t>(data64 + i);
+
+ k *= m;
+ k ^= k >> r;
+ k *= m;
+
+ h ^= k;
+ h *= m;
+ }
+
+ auto const* const data8 = reinterpret_cast<uint8_t const*>(data64 + n_blocks);
+ switch (len & 7U) {
+ case 7:
+ h ^= static_cast<uint64_t>(data8[6]) << 48U;
+ ROBIN_HOOD(FALLTHROUGH); // FALLTHROUGH
+ case 6:
+ h ^= static_cast<uint64_t>(data8[5]) << 40U;
+ ROBIN_HOOD(FALLTHROUGH); // FALLTHROUGH
+ case 5:
+ h ^= static_cast<uint64_t>(data8[4]) << 32U;
+ ROBIN_HOOD(FALLTHROUGH); // FALLTHROUGH
+ case 4:
+ h ^= static_cast<uint64_t>(data8[3]) << 24U;
+ ROBIN_HOOD(FALLTHROUGH); // FALLTHROUGH
+ case 3:
+ h ^= static_cast<uint64_t>(data8[2]) << 16U;
+ ROBIN_HOOD(FALLTHROUGH); // FALLTHROUGH
+ case 2:
+ h ^= static_cast<uint64_t>(data8[1]) << 8U;
+ ROBIN_HOOD(FALLTHROUGH); // FALLTHROUGH
+ case 1:
+ h ^= static_cast<uint64_t>(data8[0]);
+ h *= m;
+ ROBIN_HOOD(FALLTHROUGH); // FALLTHROUGH
+ default:
+ break;
+ }
+
+ h ^= h >> r;
+ h *= m;
+ h ^= h >> r;
+ return static_cast<size_t>(h);
+}
+
+inline size_t hash_int(uint64_t x) noexcept {
+ // inspired by lemire's strongly universal hashing
+ // https://lemire.me/blog/2018/08/15/fast-strongly-universal-64-bit-hashing-everywhere/
+ //
+ // Instead of shifts, we use rotations so we don't lose any bits.
+ //
+ // Added a final multiplcation with a constant for more mixing. It is most important that
+ // the lower bits are well mixed.
+ auto h1 = x * UINT64_C(0xA24BAED4963EE407);
+ auto h2 = detail::rotr(x, 32U) * UINT64_C(0x9FB21C651E98DF25);
+ auto h = detail::rotr(h1 + h2, 32U);
+ return static_cast<size_t>(h);
+}
+
+// A thin wrapper around std::hash, performing an additional simple mixing step of the result.
+template <typename T, typename Enable = void>
+struct hash : public std::hash<T> {
+ size_t operator()(T const& obj) const
+ noexcept(noexcept(std::declval<std::hash<T>>().operator()(std::declval<T const&>()))) {
+ // call base hash
+ auto result = std::hash<T>::operator()(obj);
+ // return mixed of that, to be save against identity has
+ return hash_int(static_cast<detail::SizeT>(result));
+ }
+};
+
+template <typename CharT>
+struct hash<std::basic_string<CharT>> {
+ size_t operator()(std::basic_string<CharT> const& str) const noexcept {
+ return hash_bytes(str.data(), sizeof(CharT) * str.size());
+ }
+};
+
+#if ROBIN_HOOD(CXX) >= ROBIN_HOOD(CXX17)
+template <typename CharT>
+struct hash<std::basic_string_view<CharT>> {
+ size_t operator()(std::basic_string_view<CharT> const& sv) const noexcept {
+ return hash_bytes(sv.data(), sizeof(CharT) * sv.size());
+ }
+};
+#endif
+
+template <class T>
+struct hash<T*> {
+ size_t operator()(T* ptr) const noexcept {
+ return hash_int(reinterpret_cast<detail::SizeT>(ptr));
+ }
+};
+
+template <class T>
+struct hash<std::unique_ptr<T>> {
+ size_t operator()(std::unique_ptr<T> const& ptr) const noexcept {
+ return hash_int(reinterpret_cast<detail::SizeT>(ptr.get()));
+ }
+};
+
+template <class T>
+struct hash<std::shared_ptr<T>> {
+ size_t operator()(std::shared_ptr<T> const& ptr) const noexcept {
+ return hash_int(reinterpret_cast<detail::SizeT>(ptr.get()));
+ }
+};
+
+template <typename Enum>
+struct hash<Enum, typename std::enable_if<std::is_enum<Enum>::value>::type> {
+ size_t operator()(Enum e) const noexcept {
+ using Underlying = typename std::underlying_type<Enum>::type;
+ return hash<Underlying>{}(static_cast<Underlying>(e));
+ }
+};
+
+#define ROBIN_HOOD_HASH_INT(T) \
+ template <> \
+ struct hash<T> { \
+ size_t operator()(T const& obj) const noexcept { \
+ return hash_int(static_cast<uint64_t>(obj)); \
+ } \
+ }
+
+#if defined(__GNUC__) && !defined(__clang__)
+# pragma GCC diagnostic push
+# pragma GCC diagnostic ignored "-Wuseless-cast"
+#endif
+// see https://en.cppreference.com/w/cpp/utility/hash
+ROBIN_HOOD_HASH_INT(bool);
+ROBIN_HOOD_HASH_INT(char);
+ROBIN_HOOD_HASH_INT(signed char);
+ROBIN_HOOD_HASH_INT(unsigned char);
+ROBIN_HOOD_HASH_INT(char16_t);
+ROBIN_HOOD_HASH_INT(char32_t);
+#if ROBIN_HOOD(HAS_NATIVE_WCHART)
+ROBIN_HOOD_HASH_INT(wchar_t);
+#endif
+ROBIN_HOOD_HASH_INT(short);
+ROBIN_HOOD_HASH_INT(unsigned short);
+ROBIN_HOOD_HASH_INT(int);
+ROBIN_HOOD_HASH_INT(unsigned int);
+ROBIN_HOOD_HASH_INT(long);
+ROBIN_HOOD_HASH_INT(long long);
+ROBIN_HOOD_HASH_INT(unsigned long);
+ROBIN_HOOD_HASH_INT(unsigned long long);
+#if defined(__GNUC__) && !defined(__clang__)
+# pragma GCC diagnostic pop
+#endif
+namespace detail {
+
+template <typename T>
+struct void_type {
+ using type = void;
+};
+
+template <typename T, typename = void>
+struct has_is_transparent : public std::false_type {};
+
+template <typename T>
+struct has_is_transparent<T, typename void_type<typename T::is_transparent>::type>
+ : public std::true_type {};
+
+// using wrapper classes for hash and key_equal prevents the diamond problem when the same type
+// is used. see https://stackoverflow.com/a/28771920/48181
+template <typename T>
+struct WrapHash : public T {
+ WrapHash() = default;
+ explicit WrapHash(T const& o) noexcept(noexcept(T(std::declval<T const&>())))
+ : T(o) {}
+};
+
+template <typename T>
+struct WrapKeyEqual : public T {
+ WrapKeyEqual() = default;
+ explicit WrapKeyEqual(T const& o) noexcept(noexcept(T(std::declval<T const&>())))
+ : T(o) {}
+};
+
+// A highly optimized hashmap implementation, using the Robin Hood algorithm.
+//
+// In most cases, this map should be usable as a drop-in replacement for std::unordered_map, but
+// be about 2x faster in most cases and require much less allocations.
+//
+// This implementation uses the following memory layout:
+//
+// [Node, Node, ... Node | info, info, ... infoSentinel ]
+//
+// * Node: either a DataNode that directly has the std::pair<key, val> as member,
+// or a DataNode with a pointer to std::pair<key,val>. Which DataNode representation to use
+// depends on how fast the swap() operation is. Heuristically, this is automatically choosen
+// based on sizeof(). there are always 2^n Nodes.
+//
+// * info: Each Node in the map has a corresponding info byte, so there are 2^n info bytes.
+// Each byte is initialized to 0, meaning the corresponding Node is empty. Set to 1 means the
+// corresponding node contains data. Set to 2 means the corresponding Node is filled, but it
+// actually belongs to the previous position and was pushed out because that place is already
+// taken.
+//
+// * infoSentinel: Sentinel byte set to 1, so that iterator's ++ can stop at end() without the
+// need for a idx variable.
+//
+// According to STL, order of templates has effect on throughput. That's why I've moved the
+// boolean to the front.
+// https://www.reddit.com/r/cpp/comments/ahp6iu/compile_time_binary_size_reductions_and_cs_future/eeguck4/
+template <bool IsFlat, size_t MaxLoadFactor100, typename Key, typename T, typename Hash,
+ typename KeyEqual>
+class Table
+ : public WrapHash<Hash>,
+ public WrapKeyEqual<KeyEqual>,
+ detail::NodeAllocator<
+ typename std::conditional<
+ std::is_void<T>::value, Key,
+ robin_hood::pair<typename std::conditional<IsFlat, Key, Key const>::type, T>>::type,
+ 4, 16384, IsFlat> {
+public:
+ static constexpr bool is_flat = IsFlat;
+ static constexpr bool is_map = !std::is_void<T>::value;
+ static constexpr bool is_set = !is_map;
+ static constexpr bool is_transparent =
+ has_is_transparent<Hash>::value && has_is_transparent<KeyEqual>::value;
+
+ using key_type = Key;
+ using mapped_type = T;
+ using value_type = typename std::conditional<
+ is_set, Key,
+ robin_hood::pair<typename std::conditional<is_flat, Key, Key const>::type, T>>::type;
+ using size_type = size_t;
+ using hasher = Hash;
+ using key_equal = KeyEqual;
+ using Self = Table<IsFlat, MaxLoadFactor100, key_type, mapped_type, hasher, key_equal>;
+
+private:
+ static_assert(MaxLoadFactor100 > 10 && MaxLoadFactor100 < 100,
+ "MaxLoadFactor100 needs to be >10 && < 100");
+
+ using WHash = WrapHash<Hash>;
+ using WKeyEqual = WrapKeyEqual<KeyEqual>;
+
+ // configuration defaults
+
+ // make sure we have 8 elements, needed to quickly rehash mInfo
+ static constexpr size_t InitialNumElements = sizeof(uint64_t);
+ static constexpr uint32_t InitialInfoNumBits = 5;
+ static constexpr uint8_t InitialInfoInc = 1U << InitialInfoNumBits;
+ static constexpr size_t InfoMask = InitialInfoInc - 1U;
+ static constexpr uint8_t InitialInfoHashShift = 0;
+ using DataPool = detail::NodeAllocator<value_type, 4, 16384, IsFlat>;
+
+ // type needs to be wider than uint8_t.
+ using InfoType = uint32_t;
+
+ // DataNode ////////////////////////////////////////////////////////
+
+ // Primary template for the data node. We have special implementations for small and big
+ // objects. For large objects it is assumed that swap() is fairly slow, so we allocate these
+ // on the heap so swap merely swaps a pointer.
+ template <typename M, bool>
+ class DataNode {};
+
+ // Small: just allocate on the stack.
+ template <typename M>
+ class DataNode<M, true> final {
+ public:
+ template <typename... Args>
+ explicit DataNode(M& ROBIN_HOOD_UNUSED(map) /*unused*/, Args&&... args) noexcept(
+ noexcept(value_type(std::forward<Args>(args)...)))
+ : mData(std::forward<Args>(args)...) {}
+
+ DataNode(M& ROBIN_HOOD_UNUSED(map) /*unused*/, DataNode<M, true>&& n) noexcept(
+ std::is_nothrow_move_constructible<value_type>::value)
+ : mData(std::move(n.mData)) {}
+
+ // doesn't do anything
+ void destroy(M& ROBIN_HOOD_UNUSED(map) /*unused*/) noexcept {}
+ void destroyDoNotDeallocate() noexcept {}
+
+ value_type const* operator->() const noexcept {
+ return &mData;
+ }
+ value_type* operator->() noexcept {
+ return &mData;
+ }
+
+ const value_type& operator*() const noexcept {
+ return mData;
+ }
+
+ value_type& operator*() noexcept {
+ return mData;
+ }
+
+ template <typename VT = value_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<is_map, typename VT::first_type&>::type getFirst() noexcept {
+ return mData.first;
+ }
+ template <typename VT = value_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<is_set, VT&>::type getFirst() noexcept {
+ return mData;
+ }
+
+ template <typename VT = value_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<is_map, typename VT::first_type const&>::type
+ getFirst() const noexcept {
+ return mData.first;
+ }
+ template <typename VT = value_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<is_set, VT const&>::type getFirst() const noexcept {
+ return mData;
+ }
+
+ template <typename MT = mapped_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<is_map, MT&>::type getSecond() noexcept {
+ return mData.second;
+ }
+
+ template <typename MT = mapped_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<is_set, MT const&>::type getSecond() const noexcept {
+ return mData.second;
+ }
+
+ void swap(DataNode<M, true>& o) noexcept(
+ noexcept(std::declval<value_type>().swap(std::declval<value_type>()))) {
+ mData.swap(o.mData);
+ }
+
+ private:
+ value_type mData;
+ };
+
+ // big object: allocate on heap.
+ template <typename M>
+ class DataNode<M, false> {
+ public:
+ template <typename... Args>
+ explicit DataNode(M& map, Args&&... args)
+ : mData(map.allocate()) {
+ ::new (static_cast<void*>(mData)) value_type(std::forward<Args>(args)...);
+ }
+
+ DataNode(M& ROBIN_HOOD_UNUSED(map) /*unused*/, DataNode<M, false>&& n) noexcept
+ : mData(std::move(n.mData)) {}
+
+ void destroy(M& map) noexcept {
+ // don't deallocate, just put it into list of datapool.
+ mData->~value_type();
+ map.deallocate(mData);
+ }
+
+ void destroyDoNotDeallocate() noexcept {
+ mData->~value_type();
+ }
+
+ value_type const* operator->() const noexcept {
+ return mData;
+ }
+
+ value_type* operator->() noexcept {
+ return mData;
+ }
+
+ const value_type& operator*() const {
+ return *mData;
+ }
+
+ value_type& operator*() {
+ return *mData;
+ }
+
+ template <typename VT = value_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<is_map, typename VT::first_type&>::type getFirst() noexcept {
+ return mData->first;
+ }
+ template <typename VT = value_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<is_set, VT&>::type getFirst() noexcept {
+ return *mData;
+ }
+
+ template <typename VT = value_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<is_map, typename VT::first_type const&>::type
+ getFirst() const noexcept {
+ return mData->first;
+ }
+ template <typename VT = value_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<is_set, VT const&>::type getFirst() const noexcept {
+ return *mData;
+ }
+
+ template <typename MT = mapped_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<is_map, MT&>::type getSecond() noexcept {
+ return mData->second;
+ }
+
+ template <typename MT = mapped_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<is_map, MT const&>::type getSecond() const noexcept {
+ return mData->second;
+ }
+
+ void swap(DataNode<M, false>& o) noexcept {
+ using std::swap;
+ swap(mData, o.mData);
+ }
+
+ private:
+ value_type* mData;
+ };
+
+ using Node = DataNode<Self, IsFlat>;
+
+ // helpers for doInsert: extract first entry (only const required)
+ ROBIN_HOOD(NODISCARD) key_type const& getFirstConst(Node const& n) const noexcept {
+ return n.getFirst();
+ }
+
+ // in case we have void mapped_type, we are not using a pair, thus we just route k through.
+ // No need to disable this because it's just not used if not applicable.
+ ROBIN_HOOD(NODISCARD) key_type const& getFirstConst(key_type const& k) const noexcept {
+ return k;
+ }
+
+ // in case we have non-void mapped_type, we have a standard robin_hood::pair
+ template <typename Q = mapped_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<!std::is_void<Q>::value, key_type const&>::type
+ getFirstConst(value_type const& vt) const noexcept {
+ return vt.first;
+ }
+
+ // Cloner //////////////////////////////////////////////////////////
+
+ template <typename M, bool UseMemcpy>
+ struct Cloner;
+
+ // fast path: Just copy data, without allocating anything.
+ template <typename M>
+ struct Cloner<M, true> {
+ void operator()(M const& source, M& target) const {
+ auto const* const src = reinterpret_cast<char const*>(source.mKeyVals);
+ auto* tgt = reinterpret_cast<char*>(target.mKeyVals);
+ auto const numElementsWithBuffer = target.calcNumElementsWithBuffer(target.mMask + 1);
+ std::copy(src, src + target.calcNumBytesTotal(numElementsWithBuffer), tgt);
+ }
+ };
+
+ template <typename M>
+ struct Cloner<M, false> {
+ void operator()(M const& s, M& t) const {
+ auto const numElementsWithBuffer = t.calcNumElementsWithBuffer(t.mMask + 1);
+ std::copy(s.mInfo, s.mInfo + t.calcNumBytesInfo(numElementsWithBuffer), t.mInfo);
+
+ for (size_t i = 0; i < numElementsWithBuffer; ++i) {
+ if (t.mInfo[i]) {
+ ::new (static_cast<void*>(t.mKeyVals + i)) Node(t, *s.mKeyVals[i]);
+ }
+ }
+ }
+ };
+
+ // Destroyer ///////////////////////////////////////////////////////
+
+ template <typename M, bool IsFlatAndTrivial>
+ struct Destroyer {};
+
+ template <typename M>
+ struct Destroyer<M, true> {
+ void nodes(M& m) const noexcept {
+ m.mNumElements = 0;
+ }
+
+ void nodesDoNotDeallocate(M& m) const noexcept {
+ m.mNumElements = 0;
+ }
+ };
+
+ template <typename M>
+ struct Destroyer<M, false> {
+ void nodes(M& m) const noexcept {
+ m.mNumElements = 0;
+ // clear also resets mInfo to 0, that's sometimes not necessary.
+ auto const numElementsWithBuffer = m.calcNumElementsWithBuffer(m.mMask + 1);
+
+ for (size_t idx = 0; idx < numElementsWithBuffer; ++idx) {
+ if (0 != m.mInfo[idx]) {
+ Node& n = m.mKeyVals[idx];
+ n.destroy(m);
+ n.~Node();
+ }
+ }
+ }
+
+ void nodesDoNotDeallocate(M& m) const noexcept {
+ m.mNumElements = 0;
+ // clear also resets mInfo to 0, that's sometimes not necessary.
+ auto const numElementsWithBuffer = m.calcNumElementsWithBuffer(m.mMask + 1);
+ for (size_t idx = 0; idx < numElementsWithBuffer; ++idx) {
+ if (0 != m.mInfo[idx]) {
+ Node& n = m.mKeyVals[idx];
+ n.destroyDoNotDeallocate();
+ n.~Node();
+ }
+ }
+ }
+ };
+
+ // Iter ////////////////////////////////////////////////////////////
+
+ struct fast_forward_tag {};
+
+ // generic iterator for both const_iterator and iterator.
+ template <bool IsConst>
+ // NOLINTNEXTLINE(hicpp-special-member-functions,cppcoreguidelines-special-member-functions)
+ class Iter {
+ private:
+ using NodePtr = typename std::conditional<IsConst, Node const*, Node*>::type;
+
+ public:
+ using difference_type = std::ptrdiff_t;
+ using value_type = typename Self::value_type;
+ using reference = typename std::conditional<IsConst, value_type const&, value_type&>::type;
+ using pointer = typename std::conditional<IsConst, value_type const*, value_type*>::type;
+ using iterator_category = std::forward_iterator_tag;
+
+ // default constructed iterator can be compared to itself, but WON'T return true when
+ // compared to end().
+ Iter() = default;
+
+ // Rule of zero: nothing specified. The conversion constructor is only enabled for
+ // iterator to const_iterator, so it doesn't accidentally work as a copy ctor.
+
+ // Conversion constructor from iterator to const_iterator.
+ template <bool OtherIsConst,
+ typename = typename std::enable_if<IsConst && !OtherIsConst>::type>
+ // NOLINTNEXTLINE(hicpp-explicit-conversions)
+ Iter(Iter<OtherIsConst> const& other) noexcept
+ : mKeyVals(other.mKeyVals)
+ , mInfo(other.mInfo) {}
+
+ Iter(NodePtr valPtr, uint8_t const* infoPtr) noexcept
+ : mKeyVals(valPtr)
+ , mInfo(infoPtr) {}
+
+ Iter(NodePtr valPtr, uint8_t const* infoPtr,
+ fast_forward_tag ROBIN_HOOD_UNUSED(tag) /*unused*/) noexcept
+ : mKeyVals(valPtr)
+ , mInfo(infoPtr) {
+ fastForward();
+ }
+
+ template <bool OtherIsConst,
+ typename = typename std::enable_if<IsConst && !OtherIsConst>::type>
+ Iter& operator=(Iter<OtherIsConst> const& other) noexcept {
+ mKeyVals = other.mKeyVals;
+ mInfo = other.mInfo;
+ return *this;
+ }
+
+ // prefix increment. Undefined behavior if we are at end()!
+ Iter& operator++() noexcept {
+ mInfo++;
+ mKeyVals++;
+ fastForward();
+ return *this;
+ }
+
+ Iter operator++(int) noexcept {
+ Iter tmp = *this;
+ ++(*this);
+ return tmp;
+ }
+
+ reference operator*() const {
+ return **mKeyVals;
+ }
+
+ pointer operator->() const {
+ return &**mKeyVals;
+ }
+
+ template <bool O>
+ bool operator==(Iter<O> const& o) const noexcept {
+ return mKeyVals == o.mKeyVals;
+ }
+
+ template <bool O>
+ bool operator!=(Iter<O> const& o) const noexcept {
+ return mKeyVals != o.mKeyVals;
+ }
+
+ private:
+ // fast forward to the next non-free info byte
+ // I've tried a few variants that don't depend on intrinsics, but unfortunately they are
+ // quite a bit slower than this one. So I've reverted that change again. See map_benchmark.
+ void fastForward() noexcept {
+ size_t n = 0;
+ while (0U == (n = detail::unaligned_load<size_t>(mInfo))) {
+ mInfo += sizeof(size_t);
+ mKeyVals += sizeof(size_t);
+ }
+#if defined(ROBIN_HOOD_DISABLE_INTRINSICS)
+ // we know for certain that within the next 8 bytes we'll find a non-zero one.
+ if (ROBIN_HOOD_UNLIKELY(0U == detail::unaligned_load<uint32_t>(mInfo))) {
+ mInfo += 4;
+ mKeyVals += 4;
+ }
+ if (ROBIN_HOOD_UNLIKELY(0U == detail::unaligned_load<uint16_t>(mInfo))) {
+ mInfo += 2;
+ mKeyVals += 2;
+ }
+ if (ROBIN_HOOD_UNLIKELY(0U == *mInfo)) {
+ mInfo += 1;
+ mKeyVals += 1;
+ }
+#else
+# if ROBIN_HOOD(LITTLE_ENDIAN)
+ auto inc = ROBIN_HOOD_COUNT_TRAILING_ZEROES(n) / 8;
+# else
+ auto inc = ROBIN_HOOD_COUNT_LEADING_ZEROES(n) / 8;
+# endif
+ mInfo += inc;
+ mKeyVals += inc;
+#endif
+ }
+
+ friend class Table<IsFlat, MaxLoadFactor100, key_type, mapped_type, hasher, key_equal>;
+ NodePtr mKeyVals{nullptr};
+ uint8_t const* mInfo{nullptr};
+ };
+
+ ////////////////////////////////////////////////////////////////////
+
+ // highly performance relevant code.
+ // Lower bits are used for indexing into the array (2^n size)
+ // The upper 1-5 bits need to be a reasonable good hash, to save comparisons.
+ template <typename HashKey>
+ void keyToIdx(HashKey&& key, size_t* idx, InfoType* info) const {
+ // for a user-specified hash that is *not* robin_hood::hash, apply robin_hood::hash as
+ // an additional mixing step. This serves as a bad hash prevention, if the given data is
+ // badly mixed.
+ using Mix =
+ typename std::conditional<std::is_same<::robin_hood::hash<key_type>, hasher>::value,
+ ::robin_hood::detail::identity_hash<size_t>,
+ ::robin_hood::hash<size_t>>::type;
+
+ // the lower InitialInfoNumBits are reserved for info.
+ auto h = Mix{}(WHash::operator()(key));
+ *info = mInfoInc + static_cast<InfoType>((h & InfoMask) >> mInfoHashShift);
+ *idx = (h >> InitialInfoNumBits) & mMask;
+ }
+
+ // forwards the index by one, wrapping around at the end
+ void next(InfoType* info, size_t* idx) const noexcept {
+ *idx = *idx + 1;
+ *info += mInfoInc;
+ }
+
+ void nextWhileLess(InfoType* info, size_t* idx) const noexcept {
+ // unrolling this by hand did not bring any speedups.
+ while (*info < mInfo[*idx]) {
+ next(info, idx);
+ }
+ }
+
+ // Shift everything up by one element. Tries to move stuff around.
+ void
+ shiftUp(size_t startIdx,
+ size_t const insertion_idx) noexcept(std::is_nothrow_move_assignable<Node>::value) {
+ auto idx = startIdx;
+ ::new (static_cast<void*>(mKeyVals + idx)) Node(std::move(mKeyVals[idx - 1]));
+ while (--idx != insertion_idx) {
+ mKeyVals[idx] = std::move(mKeyVals[idx - 1]);
+ }
+
+ idx = startIdx;
+ while (idx != insertion_idx) {
+ ROBIN_HOOD_COUNT(shiftUp)
+ mInfo[idx] = static_cast<uint8_t>(mInfo[idx - 1] + mInfoInc);
+ if (ROBIN_HOOD_UNLIKELY(mInfo[idx] + mInfoInc > 0xFF)) {
+ mMaxNumElementsAllowed = 0;
+ }
+ --idx;
+ }
+ }
+
+ void shiftDown(size_t idx) noexcept(std::is_nothrow_move_assignable<Node>::value) {
+ // until we find one that is either empty or has zero offset.
+ // TODO(martinus) we don't need to move everything, just the last one for the same
+ // bucket.
+ mKeyVals[idx].destroy(*this);
+
+ // until we find one that is either empty or has zero offset.
+ while (mInfo[idx + 1] >= 2 * mInfoInc) {
+ ROBIN_HOOD_COUNT(shiftDown)
+ mInfo[idx] = static_cast<uint8_t>(mInfo[idx + 1] - mInfoInc);
+ mKeyVals[idx] = std::move(mKeyVals[idx + 1]);
+ ++idx;
+ }
+
+ mInfo[idx] = 0;
+ // don't destroy, we've moved it
+ // mKeyVals[idx].destroy(*this);
+ mKeyVals[idx].~Node();
+ }
+
+ // copy of find(), except that it returns iterator instead of const_iterator.
+ template <typename Other>
+ ROBIN_HOOD(NODISCARD)
+ size_t findIdx(Other const& key) const {
+ size_t idx{};
+ InfoType info{};
+ keyToIdx(key, &idx, &info);
+
+ do {
+ // unrolling this twice gives a bit of a speedup. More unrolling did not help.
+ if (info == mInfo[idx] &&
+ ROBIN_HOOD_LIKELY(WKeyEqual::operator()(key, mKeyVals[idx].getFirst()))) {
+ return idx;
+ }
+ next(&info, &idx);
+ if (info == mInfo[idx] &&
+ ROBIN_HOOD_LIKELY(WKeyEqual::operator()(key, mKeyVals[idx].getFirst()))) {
+ return idx;
+ }
+ next(&info, &idx);
+ } while (info <= mInfo[idx]);
+
+ // nothing found!
+ return mMask == 0 ? 0
+ : static_cast<size_t>(std::distance(
+ mKeyVals, reinterpret_cast_no_cast_align_warning<Node*>(mInfo)));
+ }
+
+ void cloneData(const Table& o) {
+ Cloner<Table, IsFlat && ROBIN_HOOD_IS_TRIVIALLY_COPYABLE(Node)>()(o, *this);
+ }
+
+ // inserts a keyval that is guaranteed to be new, e.g. when the hashmap is resized.
+ // @return index where the element was created
+ size_t insert_move(Node&& keyval) {
+ // we don't retry, fail if overflowing
+ // don't need to check max num elements
+ if (0 == mMaxNumElementsAllowed && !try_increase_info()) {
+ throwOverflowError(); // impossible to reach LCOV_EXCL_LINE
+ }
+
+ size_t idx{};
+ InfoType info{};
+ keyToIdx(keyval.getFirst(), &idx, &info);
+
+ // skip forward. Use <= because we are certain that the element is not there.
+ while (info <= mInfo[idx]) {
+ idx = idx + 1;
+ info += mInfoInc;
+ }
+
+ // key not found, so we are now exactly where we want to insert it.
+ auto const insertion_idx = idx;
+ auto const insertion_info = static_cast<uint8_t>(info);
+ if (ROBIN_HOOD_UNLIKELY(insertion_info + mInfoInc > 0xFF)) {
+ mMaxNumElementsAllowed = 0;
+ }
+
+ // find an empty spot
+ while (0 != mInfo[idx]) {
+ next(&info, &idx);
+ }
+
+ auto& l = mKeyVals[insertion_idx];
+ if (idx == insertion_idx) {
+ ::new (static_cast<void*>(&l)) Node(std::move(keyval));
+ } else {
+ shiftUp(idx, insertion_idx);
+ l = std::move(keyval);
+ }
+
+ // put at empty spot
+ mInfo[insertion_idx] = insertion_info;
+
+ ++mNumElements;
+ return insertion_idx;
+ }
+
+public:
+ using iterator = Iter<false>;
+ using const_iterator = Iter<true>;
+
+ Table() noexcept(noexcept(Hash()) && noexcept(KeyEqual()))
+ : WHash()
+ , WKeyEqual() {
+ ROBIN_HOOD_TRACE(this)
+ }
+
+ // Creates an empty hash map. Nothing is allocated yet, this happens at the first insert.
+ // This tremendously speeds up ctor & dtor of a map that never receives an element. The
+ // penalty is payed at the first insert, and not before. Lookup of this empty map works
+ // because everybody points to DummyInfoByte::b. parameter bucket_count is dictated by the
+ // standard, but we can ignore it.
+ explicit Table(
+ size_t ROBIN_HOOD_UNUSED(bucket_count) /*unused*/, const Hash& h = Hash{},
+ const KeyEqual& equal = KeyEqual{}) noexcept(noexcept(Hash(h)) && noexcept(KeyEqual(equal)))
+ : WHash(h)
+ , WKeyEqual(equal) {
+ ROBIN_HOOD_TRACE(this)
+ }
+
+ template <typename Iter>
+ Table(Iter first, Iter last, size_t ROBIN_HOOD_UNUSED(bucket_count) /*unused*/ = 0,
+ const Hash& h = Hash{}, const KeyEqual& equal = KeyEqual{})
+ : WHash(h)
+ , WKeyEqual(equal) {
+ ROBIN_HOOD_TRACE(this)
+ insert(first, last);
+ }
+
+ Table(std::initializer_list<value_type> initlist,
+ size_t ROBIN_HOOD_UNUSED(bucket_count) /*unused*/ = 0, const Hash& h = Hash{},
+ const KeyEqual& equal = KeyEqual{})
+ : WHash(h)
+ , WKeyEqual(equal) {
+ ROBIN_HOOD_TRACE(this)
+ insert(initlist.begin(), initlist.end());
+ }
+
+ Table(Table&& o) noexcept
+ : WHash(std::move(static_cast<WHash&>(o)))
+ , WKeyEqual(std::move(static_cast<WKeyEqual&>(o)))
+ , DataPool(std::move(static_cast<DataPool&>(o))) {
+ ROBIN_HOOD_TRACE(this)
+ if (o.mMask) {
+ mKeyVals = std::move(o.mKeyVals);
+ mInfo = std::move(o.mInfo);
+ mNumElements = std::move(o.mNumElements);
+ mMask = std::move(o.mMask);
+ mMaxNumElementsAllowed = std::move(o.mMaxNumElementsAllowed);
+ mInfoInc = std::move(o.mInfoInc);
+ mInfoHashShift = std::move(o.mInfoHashShift);
+ // set other's mask to 0 so its destructor won't do anything
+ o.init();
+ }
+ }
+
+ Table& operator=(Table&& o) noexcept {
+ ROBIN_HOOD_TRACE(this)
+ if (&o != this) {
+ if (o.mMask) {
+ // only move stuff if the other map actually has some data
+ destroy();
+ mKeyVals = std::move(o.mKeyVals);
+ mInfo = std::move(o.mInfo);
+ mNumElements = std::move(o.mNumElements);
+ mMask = std::move(o.mMask);
+ mMaxNumElementsAllowed = std::move(o.mMaxNumElementsAllowed);
+ mInfoInc = std::move(o.mInfoInc);
+ mInfoHashShift = std::move(o.mInfoHashShift);
+ WHash::operator=(std::move(static_cast<WHash&>(o)));
+ WKeyEqual::operator=(std::move(static_cast<WKeyEqual&>(o)));
+ DataPool::operator=(std::move(static_cast<DataPool&>(o)));
+
+ o.init();
+
+ } else {
+ // nothing in the other map => just clear us.
+ clear();
+ }
+ }
+ return *this;
+ }
+
+ Table(const Table& o)
+ : WHash(static_cast<const WHash&>(o))
+ , WKeyEqual(static_cast<const WKeyEqual&>(o))
+ , DataPool(static_cast<const DataPool&>(o)) {
+ ROBIN_HOOD_TRACE(this)
+ if (!o.empty()) {
+ // not empty: create an exact copy. it is also possible to just iterate through all
+ // elements and insert them, but copying is probably faster.
+
+ auto const numElementsWithBuffer = calcNumElementsWithBuffer(o.mMask + 1);
+ auto const numBytesTotal = calcNumBytesTotal(numElementsWithBuffer);
+
+ ROBIN_HOOD_LOG("std::malloc " << numBytesTotal << " = calcNumBytesTotal("
+ << numElementsWithBuffer << ")")
+ mKeyVals = static_cast<Node*>(
+ detail::assertNotNull<std::bad_alloc>(std::malloc(numBytesTotal)));
+ // no need for calloc because clonData does memcpy
+ mInfo = reinterpret_cast<uint8_t*>(mKeyVals + numElementsWithBuffer);
+ mNumElements = o.mNumElements;
+ mMask = o.mMask;
+ mMaxNumElementsAllowed = o.mMaxNumElementsAllowed;
+ mInfoInc = o.mInfoInc;
+ mInfoHashShift = o.mInfoHashShift;
+ cloneData(o);
+ }
+ }
+
+ // Creates a copy of the given map. Copy constructor of each entry is used.
+ // Not sure why clang-tidy thinks this doesn't handle self assignment, it does
+ // NOLINTNEXTLINE(bugprone-unhandled-self-assignment,cert-oop54-cpp)
+ Table& operator=(Table const& o) {
+ ROBIN_HOOD_TRACE(this)
+ if (&o == this) {
+ // prevent assigning of itself
+ return *this;
+ }
+
+ // we keep using the old allocator and not assign the new one, because we want to keep
+ // the memory available. when it is the same size.
+ if (o.empty()) {
+ if (0 == mMask) {
+ // nothing to do, we are empty too
+ return *this;
+ }
+
+ // not empty: destroy what we have there
+ // clear also resets mInfo to 0, that's sometimes not necessary.
+ destroy();
+ init();
+ WHash::operator=(static_cast<const WHash&>(o));
+ WKeyEqual::operator=(static_cast<const WKeyEqual&>(o));
+ DataPool::operator=(static_cast<DataPool const&>(o));
+
+ return *this;
+ }
+
+ // clean up old stuff
+ Destroyer<Self, IsFlat && std::is_trivially_destructible<Node>::value>{}.nodes(*this);
+
+ if (mMask != o.mMask) {
+ // no luck: we don't have the same array size allocated, so we need to realloc.
+ if (0 != mMask) {
+ // only deallocate if we actually have data!
+ ROBIN_HOOD_LOG("std::free")
+ std::free(mKeyVals);
+ }
+
+ auto const numElementsWithBuffer = calcNumElementsWithBuffer(o.mMask + 1);
+ auto const numBytesTotal = calcNumBytesTotal(numElementsWithBuffer);
+ ROBIN_HOOD_LOG("std::malloc " << numBytesTotal << " = calcNumBytesTotal("
+ << numElementsWithBuffer << ")")
+ mKeyVals = static_cast<Node*>(
+ detail::assertNotNull<std::bad_alloc>(std::malloc(numBytesTotal)));
+
+ // no need for calloc here because cloneData performs a memcpy.
+ mInfo = reinterpret_cast<uint8_t*>(mKeyVals + numElementsWithBuffer);
+ // sentinel is set in cloneData
+ }
+ WHash::operator=(static_cast<const WHash&>(o));
+ WKeyEqual::operator=(static_cast<const WKeyEqual&>(o));
+ DataPool::operator=(static_cast<DataPool const&>(o));
+ mNumElements = o.mNumElements;
+ mMask = o.mMask;
+ mMaxNumElementsAllowed = o.mMaxNumElementsAllowed;
+ mInfoInc = o.mInfoInc;
+ mInfoHashShift = o.mInfoHashShift;
+ cloneData(o);
+
+ return *this;
+ }
+
+ // Swaps everything between the two maps.
+ void swap(Table& o) {
+ ROBIN_HOOD_TRACE(this)
+ using std::swap;
+ swap(o, *this);
+ }
+
+ // Clears all data, without resizing.
+ void clear() {
+ ROBIN_HOOD_TRACE(this)
+ if (empty()) {
+ // don't do anything! also important because we don't want to write to
+ // DummyInfoByte::b, even though we would just write 0 to it.
+ return;
+ }
+
+ Destroyer<Self, IsFlat && std::is_trivially_destructible<Node>::value>{}.nodes(*this);
+
+ auto const numElementsWithBuffer = calcNumElementsWithBuffer(mMask + 1);
+ // clear everything, then set the sentinel again
+ uint8_t const z = 0;
+ std::fill(mInfo, mInfo + calcNumBytesInfo(numElementsWithBuffer), z);
+ mInfo[numElementsWithBuffer] = 1;
+
+ mInfoInc = InitialInfoInc;
+ mInfoHashShift = InitialInfoHashShift;
+ }
+
+ // Destroys the map and all it's contents.
+ ~Table() {
+ ROBIN_HOOD_TRACE(this)
+ destroy();
+ }
+
+ // Checks if both tables contain the same entries. Order is irrelevant.
+ bool operator==(const Table& other) const {
+ ROBIN_HOOD_TRACE(this)
+ if (other.size() != size()) {
+ return false;
+ }
+ for (auto const& otherEntry : other) {
+ if (!has(otherEntry)) {
+ return false;
+ }
+ }
+
+ return true;
+ }
+
+ bool operator!=(const Table& other) const {
+ ROBIN_HOOD_TRACE(this)
+ return !operator==(other);
+ }
+
+ template <typename Q = mapped_type>
+ typename std::enable_if<!std::is_void<Q>::value, Q&>::type operator[](const key_type& key) {
+ ROBIN_HOOD_TRACE(this)
+ return doCreateByKey(key);
+ }
+
+ template <typename Q = mapped_type>
+ typename std::enable_if<!std::is_void<Q>::value, Q&>::type operator[](key_type&& key) {
+ ROBIN_HOOD_TRACE(this)
+ return doCreateByKey(std::move(key));
+ }
+
+ template <typename Iter>
+ void insert(Iter first, Iter last) {
+ for (; first != last; ++first) {
+ // value_type ctor needed because this might be called with std::pair's
+ insert(value_type(*first));
+ }
+ }
+
+ template <typename... Args>
+ std::pair<iterator, bool> emplace(Args&&... args) {
+ ROBIN_HOOD_TRACE(this)
+ Node n{*this, std::forward<Args>(args)...};
+ auto r = doInsert(std::move(n));
+ if (!r.second) {
+ // insertion not possible: destroy node
+ // NOLINTNEXTLINE(bugprone-use-after-move)
+ n.destroy(*this);
+ }
+ return r;
+ }
+
+ template <typename... Args>
+ std::pair<iterator, bool> try_emplace(const key_type& key, Args&&... args) {
+ return try_emplace_impl(key, std::forward<Args>(args)...);
+ }
+
+ template <typename... Args>
+ std::pair<iterator, bool> try_emplace(key_type&& key, Args&&... args) {
+ return try_emplace_impl(std::move(key), std::forward<Args>(args)...);
+ }
+
+ template <typename... Args>
+ std::pair<iterator, bool> try_emplace(const_iterator hint, const key_type& key,
+ Args&&... args) {
+ (void)hint;
+ return try_emplace_impl(key, std::forward<Args>(args)...);
+ }
+
+ template <typename... Args>
+ std::pair<iterator, bool> try_emplace(const_iterator hint, key_type&& key, Args&&... args) {
+ (void)hint;
+ return try_emplace_impl(std::move(key), std::forward<Args>(args)...);
+ }
+
+ template <typename Mapped>
+ std::pair<iterator, bool> insert_or_assign(const key_type& key, Mapped&& obj) {
+ return insert_or_assign_impl(key, std::forward<Mapped>(obj));
+ }
+
+ template <typename Mapped>
+ std::pair<iterator, bool> insert_or_assign(key_type&& key, Mapped&& obj) {
+ return insert_or_assign_impl(std::move(key), std::forward<Mapped>(obj));
+ }
+
+ template <typename Mapped>
+ std::pair<iterator, bool> insert_or_assign(const_iterator hint, const key_type& key,
+ Mapped&& obj) {
+ (void)hint;
+ return insert_or_assign_impl(key, std::forward<Mapped>(obj));
+ }
+
+ template <typename Mapped>
+ std::pair<iterator, bool> insert_or_assign(const_iterator hint, key_type&& key, Mapped&& obj) {
+ (void)hint;
+ return insert_or_assign_impl(std::move(key), std::forward<Mapped>(obj));
+ }
+
+ std::pair<iterator, bool> insert(const value_type& keyval) {
+ ROBIN_HOOD_TRACE(this)
+ return doInsert(keyval);
+ }
+
+ std::pair<iterator, bool> insert(value_type&& keyval) {
+ return doInsert(std::move(keyval));
+ }
+
+ // Returns 1 if key is found, 0 otherwise.
+ size_t count(const key_type& key) const { // NOLINT(modernize-use-nodiscard)
+ ROBIN_HOOD_TRACE(this)
+ auto kv = mKeyVals + findIdx(key);
+ if (kv != reinterpret_cast_no_cast_align_warning<Node*>(mInfo)) {
+ return 1;
+ }
+ return 0;
+ }
+
+ template <typename OtherKey, typename Self_ = Self>
+ // NOLINTNEXTLINE(modernize-use-nodiscard)
+ typename std::enable_if<Self_::is_transparent, size_t>::type count(const OtherKey& key) const {
+ ROBIN_HOOD_TRACE(this)
+ auto kv = mKeyVals + findIdx(key);
+ if (kv != reinterpret_cast_no_cast_align_warning<Node*>(mInfo)) {
+ return 1;
+ }
+ return 0;
+ }
+
+ bool contains(const key_type& key) const { // NOLINT(modernize-use-nodiscard)
+ return 1U == count(key);
+ }
+
+ template <typename OtherKey, typename Self_ = Self>
+ // NOLINTNEXTLINE(modernize-use-nodiscard)
+ typename std::enable_if<Self_::is_transparent, bool>::type contains(const OtherKey& key) const {
+ return 1U == count(key);
+ }
+
+ // Returns a reference to the value found for key.
+ // Throws std::out_of_range if element cannot be found
+ template <typename Q = mapped_type>
+ // NOLINTNEXTLINE(modernize-use-nodiscard)
+ typename std::enable_if<!std::is_void<Q>::value, Q&>::type at(key_type const& key) {
+ ROBIN_HOOD_TRACE(this)
+ auto kv = mKeyVals + findIdx(key);
+ if (kv == reinterpret_cast_no_cast_align_warning<Node*>(mInfo)) {
+ doThrow<std::out_of_range>("key not found");
+ }
+ return kv->getSecond();
+ }
+
+ // Returns a reference to the value found for key.
+ // Throws std::out_of_range if element cannot be found
+ template <typename Q = mapped_type>
+ // NOLINTNEXTLINE(modernize-use-nodiscard)
+ typename std::enable_if<!std::is_void<Q>::value, Q const&>::type at(key_type const& key) const {
+ ROBIN_HOOD_TRACE(this)
+ auto kv = mKeyVals + findIdx(key);
+ if (kv == reinterpret_cast_no_cast_align_warning<Node*>(mInfo)) {
+ doThrow<std::out_of_range>("key not found");
+ }
+ return kv->getSecond();
+ }
+
+ const_iterator find(const key_type& key) const { // NOLINT(modernize-use-nodiscard)
+ ROBIN_HOOD_TRACE(this)
+ const size_t idx = findIdx(key);
+ return const_iterator{mKeyVals + idx, mInfo + idx};
+ }
+
+ template <typename OtherKey>
+ const_iterator find(const OtherKey& key, is_transparent_tag /*unused*/) const {
+ ROBIN_HOOD_TRACE(this)
+ const size_t idx = findIdx(key);
+ return const_iterator{mKeyVals + idx, mInfo + idx};
+ }
+
+ template <typename OtherKey, typename Self_ = Self>
+ typename std::enable_if<Self_::is_transparent, // NOLINT(modernize-use-nodiscard)
+ const_iterator>::type // NOLINT(modernize-use-nodiscard)
+ find(const OtherKey& key) const { // NOLINT(modernize-use-nodiscard)
+ ROBIN_HOOD_TRACE(this)
+ const size_t idx = findIdx(key);
+ return const_iterator{mKeyVals + idx, mInfo + idx};
+ }
+
+ iterator find(const key_type& key) {
+ ROBIN_HOOD_TRACE(this)
+ const size_t idx = findIdx(key);
+ return iterator{mKeyVals + idx, mInfo + idx};
+ }
+
+ template <typename OtherKey>
+ iterator find(const OtherKey& key, is_transparent_tag /*unused*/) {
+ ROBIN_HOOD_TRACE(this)
+ const size_t idx = findIdx(key);
+ return iterator{mKeyVals + idx, mInfo + idx};
+ }
+
+ template <typename OtherKey, typename Self_ = Self>
+ typename std::enable_if<Self_::is_transparent, iterator>::type find(const OtherKey& key) {
+ ROBIN_HOOD_TRACE(this)
+ const size_t idx = findIdx(key);
+ return iterator{mKeyVals + idx, mInfo + idx};
+ }
+
+ iterator begin() {
+ ROBIN_HOOD_TRACE(this)
+ if (empty()) {
+ return end();
+ }
+ return iterator(mKeyVals, mInfo, fast_forward_tag{});
+ }
+ const_iterator begin() const { // NOLINT(modernize-use-nodiscard)
+ ROBIN_HOOD_TRACE(this)
+ return cbegin();
+ }
+ const_iterator cbegin() const { // NOLINT(modernize-use-nodiscard)
+ ROBIN_HOOD_TRACE(this)
+ if (empty()) {
+ return cend();
+ }
+ return const_iterator(mKeyVals, mInfo, fast_forward_tag{});
+ }
+
+ iterator end() {
+ ROBIN_HOOD_TRACE(this)
+ // no need to supply valid info pointer: end() must not be dereferenced, and only node
+ // pointer is compared.
+ return iterator{reinterpret_cast_no_cast_align_warning<Node*>(mInfo), nullptr};
+ }
+ const_iterator end() const { // NOLINT(modernize-use-nodiscard)
+ ROBIN_HOOD_TRACE(this)
+ return cend();
+ }
+ const_iterator cend() const { // NOLINT(modernize-use-nodiscard)
+ ROBIN_HOOD_TRACE(this)
+ return const_iterator{reinterpret_cast_no_cast_align_warning<Node*>(mInfo), nullptr};
+ }
+
+ iterator erase(const_iterator pos) {
+ ROBIN_HOOD_TRACE(this)
+ // its safe to perform const cast here
+ // NOLINTNEXTLINE(cppcoreguidelines-pro-type-const-cast)
+ return erase(iterator{const_cast<Node*>(pos.mKeyVals), const_cast<uint8_t*>(pos.mInfo)});
+ }
+
+ // Erases element at pos, returns iterator to the next element.
+ iterator erase(iterator pos) {
+ ROBIN_HOOD_TRACE(this)
+ // we assume that pos always points to a valid entry, and not end().
+ auto const idx = static_cast<size_t>(pos.mKeyVals - mKeyVals);
+
+ shiftDown(idx);
+ --mNumElements;
+
+ if (*pos.mInfo) {
+ // we've backward shifted, return this again
+ return pos;
+ }
+
+ // no backward shift, return next element
+ return ++pos;
+ }
+
+ size_t erase(const key_type& key) {
+ ROBIN_HOOD_TRACE(this)
+ size_t idx{};
+ InfoType info{};
+ keyToIdx(key, &idx, &info);
+
+ // check while info matches with the source idx
+ do {
+ if (info == mInfo[idx] && WKeyEqual::operator()(key, mKeyVals[idx].getFirst())) {
+ shiftDown(idx);
+ --mNumElements;
+ return 1;
+ }
+ next(&info, &idx);
+ } while (info <= mInfo[idx]);
+
+ // nothing found to delete
+ return 0;
+ }
+
+ // reserves space for the specified number of elements. Makes sure the old data fits.
+ // exactly the same as reserve(c).
+ void rehash(size_t c) {
+ // forces a reserve
+ reserve(c, true);
+ }
+
+ // reserves space for the specified number of elements. Makes sure the old data fits.
+ // Exactly the same as rehash(c). Use rehash(0) to shrink to fit.
+ void reserve(size_t c) {
+ // reserve, but don't force rehash
+ reserve(c, false);
+ }
+
+ size_type size() const noexcept { // NOLINT(modernize-use-nodiscard)
+ ROBIN_HOOD_TRACE(this)
+ return mNumElements;
+ }
+
+ size_type max_size() const noexcept { // NOLINT(modernize-use-nodiscard)
+ ROBIN_HOOD_TRACE(this)
+ return static_cast<size_type>(-1);
+ }
+
+ ROBIN_HOOD(NODISCARD) bool empty() const noexcept {
+ ROBIN_HOOD_TRACE(this)
+ return 0 == mNumElements;
+ }
+
+ float max_load_factor() const noexcept { // NOLINT(modernize-use-nodiscard)
+ ROBIN_HOOD_TRACE(this)
+ return MaxLoadFactor100 / 100.0F;
+ }
+
+ // Average number of elements per bucket. Since we allow only 1 per bucket
+ float load_factor() const noexcept { // NOLINT(modernize-use-nodiscard)
+ ROBIN_HOOD_TRACE(this)
+ return static_cast<float>(size()) / static_cast<float>(mMask + 1);
+ }
+
+ ROBIN_HOOD(NODISCARD) size_t mask() const noexcept {
+ ROBIN_HOOD_TRACE(this)
+ return mMask;
+ }
+
+ ROBIN_HOOD(NODISCARD) size_t calcMaxNumElementsAllowed(size_t maxElements) const noexcept {
+ if (ROBIN_HOOD_LIKELY(maxElements <= (std::numeric_limits<size_t>::max)() / 100)) {
+ return maxElements * MaxLoadFactor100 / 100;
+ }
+
+ // we might be a bit inprecise, but since maxElements is quite large that doesn't matter
+ return (maxElements / 100) * MaxLoadFactor100;
+ }
+
+ ROBIN_HOOD(NODISCARD) size_t calcNumBytesInfo(size_t numElements) const noexcept {
+ // we add a uint64_t, which houses the sentinel (first byte) and padding so we can load
+ // 64bit types.
+ return numElements + sizeof(uint64_t);
+ }
+
+ ROBIN_HOOD(NODISCARD)
+ size_t calcNumElementsWithBuffer(size_t numElements) const noexcept {
+ auto maxNumElementsAllowed = calcMaxNumElementsAllowed(numElements);
+ return numElements + (std::min)(maxNumElementsAllowed, (static_cast<size_t>(0xFF)));
+ }
+
+ // calculation only allowed for 2^n values
+ ROBIN_HOOD(NODISCARD) size_t calcNumBytesTotal(size_t numElements) const {
+#if ROBIN_HOOD(BITNESS) == 64
+ return numElements * sizeof(Node) + calcNumBytesInfo(numElements);
+#else
+ // make sure we're doing 64bit operations, so we are at least safe against 32bit overflows.
+ auto const ne = static_cast<uint64_t>(numElements);
+ auto const s = static_cast<uint64_t>(sizeof(Node));
+ auto const infos = static_cast<uint64_t>(calcNumBytesInfo(numElements));
+
+ auto const total64 = ne * s + infos;
+ auto const total = static_cast<size_t>(total64);
+
+ if (ROBIN_HOOD_UNLIKELY(static_cast<uint64_t>(total) != total64)) {
+ throwOverflowError();
+ }
+ return total;
+#endif
+ }
+
+private:
+ template <typename Q = mapped_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<!std::is_void<Q>::value, bool>::type has(const value_type& e) const {
+ ROBIN_HOOD_TRACE(this)
+ auto it = find(e.first);
+ return it != end() && it->second == e.second;
+ }
+
+ template <typename Q = mapped_type>
+ ROBIN_HOOD(NODISCARD)
+ typename std::enable_if<std::is_void<Q>::value, bool>::type has(const value_type& e) const {
+ ROBIN_HOOD_TRACE(this)
+ return find(e) != end();
+ }
+
+ void reserve(size_t c, bool forceRehash) {
+ ROBIN_HOOD_TRACE(this)
+ auto const minElementsAllowed = (std::max)(c, mNumElements);
+ auto newSize = InitialNumElements;
+ while (calcMaxNumElementsAllowed(newSize) < minElementsAllowed && newSize != 0) {
+ newSize *= 2;
+ }
+ if (ROBIN_HOOD_UNLIKELY(newSize == 0)) {
+ throwOverflowError();
+ }
+
+ ROBIN_HOOD_LOG("newSize > mMask + 1: " << newSize << " > " << mMask << " + 1")
+
+ // only actually do anything when the new size is bigger than the old one. This prevents to
+ // continuously allocate for each reserve() call.
+ if (forceRehash || newSize > mMask + 1) {
+ rehashPowerOfTwo(newSize);
+ }
+ }
+
+ // reserves space for at least the specified number of elements.
+ // only works if numBuckets if power of two
+ void rehashPowerOfTwo(size_t numBuckets) {
+ ROBIN_HOOD_TRACE(this)
+
+ Node* const oldKeyVals = mKeyVals;
+ uint8_t const* const oldInfo = mInfo;
+
+ const size_t oldMaxElementsWithBuffer = calcNumElementsWithBuffer(mMask + 1);
+
+ // resize operation: move stuff
+ init_data(numBuckets);
+ if (oldMaxElementsWithBuffer > 1) {
+ for (size_t i = 0; i < oldMaxElementsWithBuffer; ++i) {
+ if (oldInfo[i] != 0) {
+ insert_move(std::move(oldKeyVals[i]));
+ // destroy the node but DON'T destroy the data.
+ oldKeyVals[i].~Node();
+ }
+ }
+
+ // this check is not necessary as it's guarded by the previous if, but it helps silence
+ // g++'s overeager "attempt to free a non-heap object 'map'
+ // [-Werror=free-nonheap-object]" warning.
+ if (oldKeyVals != reinterpret_cast_no_cast_align_warning<Node*>(&mMask)) {
+ // don't destroy old data: put it into the pool instead
+ DataPool::addOrFree(oldKeyVals, calcNumBytesTotal(oldMaxElementsWithBuffer));
+ }
+ }
+ }
+
+ ROBIN_HOOD(NOINLINE) void throwOverflowError() const {
+#if ROBIN_HOOD(HAS_EXCEPTIONS)
+ throw std::overflow_error("robin_hood::map overflow");
+#else
+ abort();
+#endif
+ }
+
+ template <typename OtherKey, typename... Args>
+ std::pair<iterator, bool> try_emplace_impl(OtherKey&& key, Args&&... args) {
+ ROBIN_HOOD_TRACE(this)
+ auto it = find(key);
+ if (it == end()) {
+ return emplace(std::piecewise_construct,
+ std::forward_as_tuple(std::forward<OtherKey>(key)),
+ std::forward_as_tuple(std::forward<Args>(args)...));
+ }
+ return {it, false};
+ }
+
+ template <typename OtherKey, typename Mapped>
+ std::pair<iterator, bool> insert_or_assign_impl(OtherKey&& key, Mapped&& obj) {
+ ROBIN_HOOD_TRACE(this)
+ auto it = find(key);
+ if (it == end()) {
+ return emplace(std::forward<OtherKey>(key), std::forward<Mapped>(obj));
+ }
+ it->second = std::forward<Mapped>(obj);
+ return {it, false};
+ }
+
+ void init_data(size_t max_elements) {
+ mNumElements = 0;
+ mMask = max_elements - 1;
+ mMaxNumElementsAllowed = calcMaxNumElementsAllowed(max_elements);
+
+ auto const numElementsWithBuffer = calcNumElementsWithBuffer(max_elements);
+
+ // calloc also zeroes everything
+ auto const numBytesTotal = calcNumBytesTotal(numElementsWithBuffer);
+ ROBIN_HOOD_LOG("std::calloc " << numBytesTotal << " = calcNumBytesTotal("
+ << numElementsWithBuffer << ")")
+ mKeyVals = reinterpret_cast<Node*>(
+ detail::assertNotNull<std::bad_alloc>(std::calloc(1, numBytesTotal)));
+ mInfo = reinterpret_cast<uint8_t*>(mKeyVals + numElementsWithBuffer);
+
+ // set sentinel
+ mInfo[numElementsWithBuffer] = 1;
+
+ mInfoInc = InitialInfoInc;
+ mInfoHashShift = InitialInfoHashShift;
+ }
+
+ template <typename Arg, typename Q = mapped_type>
+ typename std::enable_if<!std::is_void<Q>::value, Q&>::type doCreateByKey(Arg&& key) {
+ while (true) {
+ size_t idx{};
+ InfoType info{};
+ keyToIdx(key, &idx, &info);
+ nextWhileLess(&info, &idx);
+
+ // while we potentially have a match. Can't do a do-while here because when mInfo is
+ // 0 we don't want to skip forward
+ while (info == mInfo[idx]) {
+ if (WKeyEqual::operator()(key, mKeyVals[idx].getFirst())) {
+ // key already exists, do not insert.
+ return mKeyVals[idx].getSecond();
+ }
+ next(&info, &idx);
+ }
+
+ // unlikely that this evaluates to true
+ if (ROBIN_HOOD_UNLIKELY(mNumElements >= mMaxNumElementsAllowed)) {
+ increase_size();
+ continue;
+ }
+
+ // key not found, so we are now exactly where we want to insert it.
+ auto const insertion_idx = idx;
+ auto const insertion_info = info;
+ if (ROBIN_HOOD_UNLIKELY(insertion_info + mInfoInc > 0xFF)) {
+ mMaxNumElementsAllowed = 0;
+ }
+
+ // find an empty spot
+ while (0 != mInfo[idx]) {
+ next(&info, &idx);
+ }
+
+ auto& l = mKeyVals[insertion_idx];
+ if (idx == insertion_idx) {
+ // put at empty spot. This forwards all arguments into the node where the object
+ // is constructed exactly where it is needed.
+ ::new (static_cast<void*>(&l))
+ Node(*this, std::piecewise_construct,
+ std::forward_as_tuple(std::forward<Arg>(key)), std::forward_as_tuple());
+ } else {
+ shiftUp(idx, insertion_idx);
+ l = Node(*this, std::piecewise_construct,
+ std::forward_as_tuple(std::forward<Arg>(key)), std::forward_as_tuple());
+ }
+
+ // mKeyVals[idx].getFirst() = std::move(key);
+ mInfo[insertion_idx] = static_cast<uint8_t>(insertion_info);
+
+ ++mNumElements;
+ return mKeyVals[insertion_idx].getSecond();
+ }
+ }
+
+ // This is exactly the same code as operator[], except for the return values
+ template <typename Arg>
+ std::pair<iterator, bool> doInsert(Arg&& keyval) {
+ while (true) {
+ size_t idx{};
+ InfoType info{};
+ keyToIdx(getFirstConst(keyval), &idx, &info);
+ nextWhileLess(&info, &idx);
+
+ // while we potentially have a match
+ while (info == mInfo[idx]) {
+ if (WKeyEqual::operator()(getFirstConst(keyval), mKeyVals[idx].getFirst())) {
+ // key already exists, do NOT insert.
+ // see http://en.cppreference.com/w/cpp/container/unordered_map/insert
+ return std::make_pair<iterator, bool>(iterator(mKeyVals + idx, mInfo + idx),
+ false);
+ }
+ next(&info, &idx);
+ }
+
+ // unlikely that this evaluates to true
+ if (ROBIN_HOOD_UNLIKELY(mNumElements >= mMaxNumElementsAllowed)) {
+ increase_size();
+ continue;
+ }
+
+ // key not found, so we are now exactly where we want to insert it.
+ auto const insertion_idx = idx;
+ auto const insertion_info = info;
+ if (ROBIN_HOOD_UNLIKELY(insertion_info + mInfoInc > 0xFF)) {
+ mMaxNumElementsAllowed = 0;
+ }
+
+ // find an empty spot
+ while (0 != mInfo[idx]) {
+ next(&info, &idx);
+ }
+
+ auto& l = mKeyVals[insertion_idx];
+ if (idx == insertion_idx) {
+ ::new (static_cast<void*>(&l)) Node(*this, std::forward<Arg>(keyval));
+ } else {
+ shiftUp(idx, insertion_idx);
+ l = Node(*this, std::forward<Arg>(keyval));
+ }
+
+ // put at empty spot
+ mInfo[insertion_idx] = static_cast<uint8_t>(insertion_info);
+
+ ++mNumElements;
+ return std::make_pair(iterator(mKeyVals + insertion_idx, mInfo + insertion_idx), true);
+ }
+ }
+
+ bool try_increase_info() {
+ ROBIN_HOOD_LOG("mInfoInc=" << mInfoInc << ", numElements=" << mNumElements
+ << ", maxNumElementsAllowed="
+ << calcMaxNumElementsAllowed(mMask + 1))
+ if (mInfoInc <= 2) {
+ // need to be > 2 so that shift works (otherwise undefined behavior!)
+ return false;
+ }
+ // we got space left, try to make info smaller
+ mInfoInc = static_cast<uint8_t>(mInfoInc >> 1U);
+
+ // remove one bit of the hash, leaving more space for the distance info.
+ // This is extremely fast because we can operate on 8 bytes at once.
+ ++mInfoHashShift;
+ auto const numElementsWithBuffer = calcNumElementsWithBuffer(mMask + 1);
+
+ for (size_t i = 0; i < numElementsWithBuffer; i += 8) {
+ auto val = unaligned_load<uint64_t>(mInfo + i);
+ val = (val >> 1U) & UINT64_C(0x7f7f7f7f7f7f7f7f);
+ std::memcpy(mInfo + i, &val, sizeof(val));
+ }
+ // update sentinel, which might have been cleared out!
+ mInfo[numElementsWithBuffer] = 1;
+
+ mMaxNumElementsAllowed = calcMaxNumElementsAllowed(mMask + 1);
+ return true;
+ }
+
+ void increase_size() {
+ // nothing allocated yet? just allocate InitialNumElements
+ if (0 == mMask) {
+ init_data(InitialNumElements);
+ return;
+ }
+
+ auto const maxNumElementsAllowed = calcMaxNumElementsAllowed(mMask + 1);
+ if (mNumElements < maxNumElementsAllowed && try_increase_info()) {
+ return;
+ }
+
+ ROBIN_HOOD_LOG("mNumElements=" << mNumElements << ", maxNumElementsAllowed="
+ << maxNumElementsAllowed << ", load="
+ << (static_cast<double>(mNumElements) * 100.0 /
+ (static_cast<double>(mMask) + 1)))
+ // it seems we have a really bad hash function! don't try to resize again
+ if (mNumElements * 2 < calcMaxNumElementsAllowed(mMask + 1)) {
+ throwOverflowError();
+ }
+
+ rehashPowerOfTwo((mMask + 1) * 2);
+ }
+
+ void destroy() {
+ if (0 == mMask) {
+ // don't deallocate!
+ return;
+ }
+
+ Destroyer<Self, IsFlat && std::is_trivially_destructible<Node>::value>{}
+ .nodesDoNotDeallocate(*this);
+
+ // This protection against not deleting mMask shouldn't be needed as it's sufficiently
+ // protected with the 0==mMask check, but I have this anyways because g++ 7 otherwise
+ // reports a compile error: attempt to free a non-heap object 'fm'
+ // [-Werror=free-nonheap-object]
+ if (mKeyVals != reinterpret_cast_no_cast_align_warning<Node*>(&mMask)) {
+ ROBIN_HOOD_LOG("std::free")
+ std::free(mKeyVals);
+ }
+ }
+
+ void init() noexcept {
+ mKeyVals = reinterpret_cast_no_cast_align_warning<Node*>(&mMask);
+ mInfo = reinterpret_cast<uint8_t*>(&mMask);
+ mNumElements = 0;
+ mMask = 0;
+ mMaxNumElementsAllowed = 0;
+ mInfoInc = InitialInfoInc;
+ mInfoHashShift = InitialInfoHashShift;
+ }
+
+ // members are sorted so no padding occurs
+ Node* mKeyVals = reinterpret_cast_no_cast_align_warning<Node*>(&mMask); // 8 byte 8
+ uint8_t* mInfo = reinterpret_cast<uint8_t*>(&mMask); // 8 byte 16
+ size_t mNumElements = 0; // 8 byte 24
+ size_t mMask = 0; // 8 byte 32
+ size_t mMaxNumElementsAllowed = 0; // 8 byte 40
+ InfoType mInfoInc = InitialInfoInc; // 4 byte 44
+ InfoType mInfoHashShift = InitialInfoHashShift; // 4 byte 48
+ // 16 byte 56 if NodeAllocator
+};
+
+} // namespace detail
+
+// map
+
+template <typename Key, typename T, typename Hash = hash<Key>,
+ typename KeyEqual = std::equal_to<Key>, size_t MaxLoadFactor100 = 80>
+using unordered_flat_map = detail::Table<true, MaxLoadFactor100, Key, T, Hash, KeyEqual>;
+
+template <typename Key, typename T, typename Hash = hash<Key>,
+ typename KeyEqual = std::equal_to<Key>, size_t MaxLoadFactor100 = 80>
+using unordered_node_map = detail::Table<false, MaxLoadFactor100, Key, T, Hash, KeyEqual>;
+
+template <typename Key, typename T, typename Hash = hash<Key>,
+ typename KeyEqual = std::equal_to<Key>, size_t MaxLoadFactor100 = 80>
+using unordered_map =
+ detail::Table<sizeof(robin_hood::pair<Key, T>) <= sizeof(size_t) * 6 &&
+ std::is_nothrow_move_constructible<robin_hood::pair<Key, T>>::value &&
+ std::is_nothrow_move_assignable<robin_hood::pair<Key, T>>::value,
+ MaxLoadFactor100, Key, T, Hash, KeyEqual>;
+
+// set
+
+template <typename Key, typename Hash = hash<Key>, typename KeyEqual = std::equal_to<Key>,
+ size_t MaxLoadFactor100 = 80>
+using unordered_flat_set = detail::Table<true, MaxLoadFactor100, Key, void, Hash, KeyEqual>;
+
+template <typename Key, typename Hash = hash<Key>, typename KeyEqual = std::equal_to<Key>,
+ size_t MaxLoadFactor100 = 80>
+using unordered_node_set = detail::Table<false, MaxLoadFactor100, Key, void, Hash, KeyEqual>;
+
+template <typename Key, typename Hash = hash<Key>, typename KeyEqual = std::equal_to<Key>,
+ size_t MaxLoadFactor100 = 80>
+using unordered_set = detail::Table<sizeof(Key) <= sizeof(size_t) * 6 &&
+ std::is_nothrow_move_constructible<Key>::value &&
+ std::is_nothrow_move_assignable<Key>::value,
+ MaxLoadFactor100, Key, void, Hash, KeyEqual>;
+
+} // namespace robin_hood
+
+#endif
diff --git a/Fltk/helpWindow.cpp b/Fltk/helpWindow.cpp
index 911ba489a4fc6aa1c97a78d738da7a9b6ee74e0a..fc6a8ca3f4c8fc327e6bbde0a94811ba7bdd31ac 100644
--- a/Fltk/helpWindow.cpp
+++ b/Fltk/helpWindow.cpp
@@ -462,7 +462,8 @@ helpWindow::helpWindow()
browser->textsize(FL_NORMAL_SIZE - 2);
browser->type(FL_MULTI_BROWSER);
browser->callback(browser_cb);
- browser->tooltip("Double-click to edit value");
+ browser->tooltip("Double-click to edit value; selected lines are copied "
+ "to the clipboard");
{
Fl_Group *g = new Fl_Group(0, height - BH - WB, width, BH);
diff --git a/Fltk/messageBrowser.h b/Fltk/messageBrowser.h
index c5c21203b66da2edda5c314a784347ef6b456577..6bad75f06c25f9955791512cca50d5577e4c7667 100644
--- a/Fltk/messageBrowser.h
+++ b/Fltk/messageBrowser.h
@@ -68,6 +68,7 @@ public:
_browser->textfont(FL_SCREEN);
#endif
_browser->type(FL_MULTI_BROWSER);
+ _browser->tooltip("Selected lines are copied to the clipboard");
_browser->end();
end();
resizable(_browser);
diff --git a/Fltk/optionWindow.cpp b/Fltk/optionWindow.cpp
index 318324064edd2bb64ae52a1f0fe370b0803315fe..353c56bc6ce635cc144cc2fbb43319b9f66c4985 100644
--- a/Fltk/optionWindow.cpp
+++ b/Fltk/optionWindow.cpp
@@ -581,9 +581,9 @@ static void mesh_options_ok_cb(Fl_Widget *w, void *data)
(o->mesh.choice[2]->value() == 3) ? ALGO_2D_FRONTAL :
(o->mesh.choice[2]->value() == 4) ? ALGO_2D_BAMG :
(o->mesh.choice[2]->value() == 5) ? ALGO_2D_FRONTAL_QUAD :
- (o->mesh.choice[2]->value() == 6) ? ALGO_2D_PACK_PRLGRMS :
+ (o->mesh.choice[2]->value() == 6) ? ALGO_2D_QUAD_QUASI_STRUCT :
(o->mesh.choice[2]->value() == 7) ? ALGO_2D_INITIAL_ONLY :
- ALGO_2D_AUTO);
+ ALGO_2D_AUTO);
opt_mesh_algo3d(0, GMSH_SET,
(o->mesh.choice[3]->value() == 1) ? ALGO_3D_FRONTAL :
(o->mesh.choice[3]->value() == 2) ? ALGO_3D_HXT :
@@ -2415,8 +2415,7 @@ optionWindow::optionWindow(int deltaFontSize)
{"Frontal-Delaunay", 0, nullptr, nullptr},
{"BAMG (experimental)", 0, nullptr, nullptr},
{"Frontal-Delaunay for Quads (experimental)", 0, nullptr, nullptr},
- {"Packing of Parallelograms (experimental, planar only)", 0, nullptr,
- nullptr},
+ {"Quasi-structured quad (experimental)", 0, nullptr, nullptr},
{"Initial Mesh Only (no node insertion)", 0, nullptr, nullptr},
{nullptr}};
static Fl_Menu_Item menu_3d_algo[] = {
diff --git a/Geo/GEdge.cpp b/Geo/GEdge.cpp
index d5a617ef46427d9171b7f821eb39c6a2bf12f540..35c6f99caa397a1efdef944ae1166b9a560b86c4 100644
--- a/Geo/GEdge.cpp
+++ b/Geo/GEdge.cpp
@@ -345,6 +345,8 @@ std::string GEdge::getAdditionalInfoString(bool multline)
sstream << ", bump " << meshAttributes.coeffTransfinite;
else if(std::abs(type) == 3)
sstream << ", beta " << meshAttributes.coeffTransfinite;
+ else if(std::abs(type) == 4)
+ sstream << ", sizemap " << meshAttributes.coeffTransfinite;
}
if(meshAttributes.extrude && meshAttributes.extrude->mesh.ExtrudeMesh)
sstream << " extruded";
@@ -395,8 +397,12 @@ void GEdge::writeGEO(FILE *fp)
fprintf(fp, " Using Progression ");
else if(std::abs(meshAttributes.typeTransfinite) == 2)
fprintf(fp, " Using Bump ");
- else
+ else if(std::abs(meshAttributes.typeTransfinite) == 3)
fprintf(fp, " Using Beta ");
+ else if(std::abs(meshAttributes.typeTransfinite) == 4)
+ fprintf(fp, " Using Sizemap ");
+ else
+ fprintf(fp, " Using Unknown ");
fprintf(fp, "%g", meshAttributes.coeffTransfinite);
}
fprintf(fp, ";\n");
diff --git a/Geo/GFace.cpp b/Geo/GFace.cpp
index 621006ff7eeaee73e4381b43bae7d533b18c7e95..1efb5b5714ed2eda4ace32a096b1ca239f37c42b 100644
--- a/Geo/GFace.cpp
+++ b/Geo/GFace.cpp
@@ -26,6 +26,11 @@
#include "meshGFace.h"
#include "meshGFaceOptimize.h"
#include "BackgroundMeshTools.h"
+#if 0
+// TEST
+#include "meshTriangulation.h"
+// TEST
+#endif
#endif
#if defined(HAVE_ALGLIB)
@@ -1080,7 +1085,7 @@ void GFace::XYZtoUV(double X, double Y, double Z, double &U, double &V,
if(!onSurface) return;
if(relax < 1.e-6)
- Msg::Error("Could not converge: surface mesh will be wrong");
+ Msg::Error("Inverse surface mapping could not converge");
else {
Msg::Info("point %g %g %g : Relaxation factor = %g", X, Y, Z, 0.75 * relax);
XYZtoUV(X, Y, Z, U, V, 0.75 * relax);
@@ -1636,6 +1641,11 @@ void GFace::mesh(bool verbose)
if(compound.size())
meshAttributes.meshSizeFactor = CTX::instance()->mesh.compoundLcFactor;
+ // FIXME TEST
+#if 0
+ GFaceInitialMesh (tag());
+#endif
+
meshGFace mesher;
mesher(this, verbose);
diff --git a/Geo/GModel.cpp b/Geo/GModel.cpp
index fdda0dbffdd9270d09442c16e2b04de93c968d81..365f3adc0008f311afb8260860fbda33090c591a 100644
--- a/Geo/GModel.cpp
+++ b/Geo/GModel.cpp
@@ -2320,12 +2320,14 @@ void GModel::_storePhysicalTagsInEntities(
}
if(ge) {
- auto it2 = it->second.begin();
- for(; it2 != it->second.end(); ++it2) {
+ for(auto it2 = it->second.begin(); it2 != it->second.end(); ++it2) {
if(std::find(ge->physicals.begin(), ge->physicals.end(), it2->first) ==
ge->physicals.end()) {
ge->physicals.push_back(it2->first);
}
+ if(it2->second.size() && it2->second != "unnamed")
+ _physicalNames.insert
+ (std::make_pair(std::make_pair(dim, it2->first), it2->second));
}
}
}
diff --git a/Geo/GModel.h b/Geo/GModel.h
index 6171b976876eb7c36d6d23a9d688df6281a650ed..7367c0441a369b69617d97e7dfbcaca0129acbfd 100644
--- a/Geo/GModel.h
+++ b/Geo/GModel.h
@@ -769,9 +769,10 @@ public:
double scalingFactor = 1.0);
// I-deas universal mesh format
- int readUNV(const std::string &name);
+ int readUNV(const std::string &name, bool readGroupsOfElements = true);
int writeUNV(const std::string &name, bool saveAll = false,
- bool saveGroupsOfNodes = false, double scalingFactor = 1.0);
+ bool saveGroupsOfElements = true, bool saveGroupsOfNodes = false,
+ double scalingFactor = 1.0);
// Medit (INRIA) mesh format
int readMESH(const std::string &name);
diff --git a/Geo/GModelIO_OCC.cpp b/Geo/GModelIO_OCC.cpp
index 65674b73593119a03773a41ff978de314b75e91a..992e7cd4c3e1cfae36e432697da055f604a2ff22 100644
--- a/Geo/GModelIO_OCC.cpp
+++ b/Geo/GModelIO_OCC.cpp
@@ -371,7 +371,7 @@ void OCC_Internals::bind(const TopoDS_Solid &solid, int tag, bool recursive)
for(exp0.Init(solid, TopAbs_FACE); exp0.More(); exp0.Next()) {
TopoDS_Face face = TopoDS::Face(exp0.Current());
if(!_faceTag.IsBound(face)) {
- int t = getMaxTag(3) + 1;
+ int t = getMaxTag(2) + 1;
bind(face, t, recursive);
}
}
@@ -574,6 +574,59 @@ void OCC_Internals::unbind(TopoDS_Shape shape, int dim, int tag, bool recursive)
}
}
+void OCC_Internals::unbindWithoutChecks(TopoDS_Shape shape)
+{
+ TopExp_Explorer exp0;
+ for(exp0.Init(shape, TopAbs_SOLID); exp0.More(); exp0.Next()) {
+ TopoDS_Solid solid = TopoDS::Solid(exp0.Current());
+ if(_solidTag.IsBound(solid)) {
+ int tag = _solidTag.Find(solid);
+ _solidTag.UnBind(solid);
+ _tagSolid.UnBind(tag);
+ }
+ }
+ for(exp0.Init(shape, TopAbs_SHELL); exp0.More(); exp0.Next()) {
+ TopoDS_Shell shell = TopoDS::Shell(exp0.Current());
+ if(_shellTag.IsBound(shell)) {
+ int tag = _shellTag.Find(shell);
+ _shellTag.UnBind(shell);
+ _tagShell.UnBind(tag);
+ }
+ }
+ for(exp0.Init(shape, TopAbs_FACE); exp0.More(); exp0.Next()) {
+ TopoDS_Face face = TopoDS::Face(exp0.Current());
+ if(_faceTag.IsBound(face)) {
+ int tag = _faceTag.Find(face);
+ _faceTag.UnBind(face);
+ _tagFace.UnBind(tag);
+ }
+ }
+ for(exp0.Init(shape, TopAbs_WIRE); exp0.More(); exp0.Next()) {
+ TopoDS_Wire wire = TopoDS::Wire(exp0.Current());
+ if(_wireTag.IsBound(wire)) {
+ int tag = _wireTag.Find(wire);
+ _wireTag.UnBind(wire);
+ _tagWire.UnBind(tag);
+ }
+ }
+ for(exp0.Init(shape, TopAbs_EDGE); exp0.More(); exp0.Next()) {
+ TopoDS_Edge edge = TopoDS::Edge(exp0.Current());
+ if(_edgeTag.IsBound(edge)) {
+ int tag = _edgeTag.Find(edge);
+ _edgeTag.UnBind(edge);
+ _tagEdge.UnBind(tag);
+ }
+ }
+ for(exp0.Init(shape, TopAbs_VERTEX); exp0.More(); exp0.Next()) {
+ TopoDS_Vertex vertex = TopoDS::Vertex(exp0.Current());
+ if(_vertexTag.IsBound(vertex)) {
+ int tag = _vertexTag.Find(vertex);
+ _vertexTag.UnBind(vertex);
+ _tagVertex.UnBind(tag);
+ }
+ }
+}
+
void OCC_Internals::unbind()
{
for(int i = 0; i < 6; i++) _maxTag[i] = 0;
@@ -3440,7 +3493,7 @@ bool OCC_Internals::booleanOperator(
Msg::Debug("BOOL (%d,%d) other", dim, tag);
}
}
- for(int dim = -2; dim <= 3; dim++) _recomputeMaxTag(dim);
+ for(int d = -2; d <= 3; d++) _recomputeMaxTag(d);
// bind all remaining entities and add the new ones to the returned list
_multiBind(result, -1, outDimTags, false, true, true);
_filterTags(outDimTags, minDim);
@@ -3672,11 +3725,26 @@ bool OCC_Internals::_transform(
return false;
}
for(std::size_t i = 0; i < inDimTags.size(); i++) {
- // FIXME we should implement rebind(object, result, dim) which would
- // unbind/bind all subshapes to the same tags
int dim = inDimTags[i].first;
int tag = inDimTags[i].second;
+#if 0
+ // safe, but slow: unbind() has linear complexity with respect to the number
+ // of entities in the model (due to the dependency checking of upward
+ // adjencencies and the maximum tag update). Using this in a for loop to
+ // translate copies of entities leads to quadratic complexity.
unbind(inShapes[i], dim, tag, true);
+#else
+ // bypass it by unbinding the shape and all its subshapes without checking
+ // dependencies: this is a bit dangerous, as one could translate e.g. the
+ // face of a cube (this is not allowed!) - which will unbind the face of the
+ // cube. But the original face will actually be re-bound (with a warning) at
+ // the next syncronization point, so it's not too bad...
+ unbindWithoutChecks(inShapes[i]);
+ for(int d = -2; d <= 3; d++) _recomputeMaxTag(d);
+
+ // FIXME: it would be even better to code a rebind() function to reuse the
+ // tags not only of the shape, but of all the sub-shapes as well
+#endif
bind(outShapes[i], dim, tag, true);
}
diff --git a/Geo/GModelIO_OCC.h b/Geo/GModelIO_OCC.h
index 55b094d27a736ff2187cf4043c6e5aa4cf77ce8f..4680878619eb9a80cbda3e267a2774120ffc1651 100644
--- a/Geo/GModelIO_OCC.h
+++ b/Geo/GModelIO_OCC.h
@@ -189,6 +189,7 @@ public:
void unbind(const TopoDS_Shell &shell, int tag, bool recursive = false);
void unbind(const TopoDS_Solid &solid, int tag, bool recursive = false);
void unbind(TopoDS_Shape shape, int dim, int tag, bool recursive = false);
+ void unbindWithoutChecks(TopoDS_Shape shape);
void unbind();
// set/get max tag of entity for each dimension (0, 1, 2, 3), as well as
diff --git a/Geo/GModelIO_UNV.cpp b/Geo/GModelIO_UNV.cpp
index f7cba2529d7f421cd0a9daff54ebb8319e35b062..b6f292f639c2b93f37984738c4776fba18efa481 100644
--- a/Geo/GModelIO_UNV.cpp
+++ b/Geo/GModelIO_UNV.cpp
@@ -33,7 +33,7 @@ typedef FILE *gmshFILE;
#define gmsheof feof
#endif
-int GModel::readUNV(const std::string &name)
+int GModel::readUNV(const std::string &name, bool readGroupsOfElements)
{
gmshFILE fp = gmshopen(name.c_str(), "r");
if(!fp) {
@@ -44,7 +44,9 @@ int GModel::readUNV(const std::string &name)
char buffer[256];
std::map<int, std::vector<MElement *> > elements[7];
std::map<int, std::map<int, std::string> > physicals[4];
-
+ std::map<int, MElement *> elementTags;
+ std::map<MElement *, std::vector<int>, MElementPtrLessThan> elementGroups;
+ std::map<int, std::string> groupNames;
_vertexMapCache.clear();
while(!gmsheof(fp)) {
@@ -74,7 +76,7 @@ int GModel::readUNV(const std::string &name)
std::map<int, int> warn;
while(gmshgets(buffer, sizeof(buffer), fp)) {
if(strlen(buffer) < 3)
- continue; // possible line ending after last fscanf
+ continue; // possible line ending after last fgets
if(!strncmp(buffer, " -1", 6)) break;
int num, type, elementary, physical, color, numNodes;
if(!CTX::instance()->mesh.switchElementTags) {
@@ -137,19 +139,21 @@ int GModel::readUNV(const std::string &name)
}
}
int dim = -1;
+ MElement *e = nullptr;
switch(type) {
case 11:
case 21:
case 22:
case 31:
- elements[0][elementary].push_back(new MLine(vertices, num));
+ e = new MLine(vertices, num);
+ elements[0][elementary].push_back(e);
dim = 1;
break;
case 23:
case 24:
case 32:
- elements[0][elementary].push_back(
- new MLine3(vertices[0], vertices[2], vertices[1], num));
+ e = new MLine3(vertices[0], vertices[2], vertices[1], num);
+ elements[0][elementary].push_back(e);
dim = 1;
break;
case 41:
@@ -158,7 +162,8 @@ int GModel::readUNV(const std::string &name)
case 74:
case 81:
case 91:
- elements[1][elementary].push_back(new MTriangle(vertices, num));
+ e = new MTriangle(vertices, num);
+ elements[1][elementary].push_back(e);
dim = 2;
break;
case 42:
@@ -167,9 +172,9 @@ int GModel::readUNV(const std::string &name)
case 72:
case 82:
case 92:
- elements[1][elementary].push_back(
- new MTriangle6(vertices[0], vertices[2], vertices[4], vertices[1],
- vertices[3], vertices[5], num));
+ e = new MTriangle6(vertices[0], vertices[2], vertices[4],
+ vertices[1], vertices[3], vertices[5], num);
+ elements[1][elementary].push_back(e);
dim = 2;
break;
case 44:
@@ -178,7 +183,8 @@ int GModel::readUNV(const std::string &name)
case 71:
case 84:
case 94:
- elements[2][elementary].push_back(new MQuadrangle(vertices, num));
+ e = new MQuadrangle(vertices, num);
+ elements[2][elementary].push_back(e);
dim = 2;
break;
case 45:
@@ -187,49 +193,58 @@ int GModel::readUNV(const std::string &name)
case 75:
case 85:
case 95:
- elements[2][elementary].push_back(new MQuadrangle8(
- vertices[0], vertices[2], vertices[4], vertices[6], vertices[1],
- vertices[3], vertices[5], vertices[7], num));
+ e = new MQuadrangle8(vertices[0], vertices[2], vertices[4],
+ vertices[6], vertices[1], vertices[3],
+ vertices[5], vertices[7], num);
+ elements[2][elementary].push_back(e);
dim = 2;
break;
case 111:
- elements[3][elementary].push_back(new MTetrahedron(vertices, num));
+ e = new MTetrahedron(vertices, num);
+ elements[3][elementary].push_back(e);
dim = 3;
break;
case 118:
- elements[3][elementary].push_back(new MTetrahedron10(
- vertices[0], vertices[2], vertices[4], vertices[9], vertices[1],
- vertices[3], vertices[5], vertices[6], vertices[8], vertices[7],
- num));
+ e = new MTetrahedron10(vertices[0], vertices[2], vertices[4],
+ vertices[9], vertices[1], vertices[3],
+ vertices[5], vertices[6], vertices[8],
+ vertices[7], num);
+ elements[3][elementary].push_back(e);
dim = 3;
break;
case 104:
case 115:
- elements[4][elementary].push_back(new MHexahedron(vertices, num));
+ e = new MHexahedron(vertices, num);
+ elements[4][elementary].push_back(e);
dim = 3;
break;
case 105:
case 116:
- elements[4][elementary].push_back(new MHexahedron20(
- vertices[0], vertices[2], vertices[4], vertices[6], vertices[12],
- vertices[14], vertices[16], vertices[18], vertices[1],
- vertices[7], vertices[8], vertices[3], vertices[9], vertices[5],
- vertices[10], vertices[11], vertices[13], vertices[19],
- vertices[15], vertices[17], num));
+ e = new MHexahedron20(vertices[0], vertices[2], vertices[4],
+ vertices[6], vertices[12], vertices[14],
+ vertices[16], vertices[18], vertices[1],
+ vertices[7], vertices[8], vertices[3],
+ vertices[9], vertices[5], vertices[10],
+ vertices[11], vertices[13], vertices[19],
+ vertices[15], vertices[17], num);
+ elements[4][elementary].push_back(e);
dim = 3;
break;
case 101:
case 112:
- elements[5][elementary].push_back(new MPrism(vertices, num));
+ e = new MPrism(vertices, num);
+ elements[5][elementary].push_back(e);
dim = 3;
break;
case 102:
case 113:
- elements[5][elementary].push_back(
- new MPrism15(vertices[0], vertices[2], vertices[4], vertices[9],
- vertices[11], vertices[13], vertices[1], vertices[5],
- vertices[6], vertices[3], vertices[7], vertices[8],
- vertices[10], vertices[14], vertices[12], num));
+ e = new MPrism15(vertices[0], vertices[2], vertices[4],
+ vertices[9], vertices[11], vertices[13],
+ vertices[1], vertices[5], vertices[6],
+ vertices[3], vertices[7], vertices[8],
+ vertices[10], vertices[14], vertices[12],
+ num);
+ elements[5][elementary].push_back(e);
dim = 3;
break;
default:
@@ -242,14 +257,111 @@ int GModel::readUNV(const std::string &name)
(!physicals[dim].count(elementary) ||
!physicals[dim][elementary].count(physical)))
physicals[dim][elementary][physical] = "unnamed";
+
+ if(e) {
+ elementTags[num] = e;
+ elementGroups[e].push_back(elementary);
+ elementGroups[e].push_back(physical);
+ }
+ }
+ }
+ else if(record == 2477 || record == 2452 || record == 2435) {
+ if(!readGroupsOfElements) {
+ Msg::Info("Ignoring groups (set Mesh.ReadGroupsOfElements to read "
+ "groups of elements)");
+ }
+ else {
+ Msg::Info("Reading groups");
+ while(gmshgets(buffer, sizeof(buffer), fp)) {
+ if(strlen(buffer) < 3)
+ continue; // possible line ending after last fgets
+ if(!strncmp(buffer, " -1", 6)) break;
+ int num, constraint, restraint, load, dof, temperature, contact, n;
+ if(sscanf(buffer, "%d %d %d %d %d %d %d %d", &num, &constraint,
+ &restraint, &load, &dof, &temperature, &contact, &n) != 8)
+ break;
+ if(!gmshgets(buffer, sizeof(buffer), fp)) break;
+ char name[256];
+ if(!sscanf(buffer, "%s", name)) break;
+ groupNames[num] = name;
+ int e = 0;
+ while(e < n) {
+ if(!gmshgets(buffer, sizeof(buffer), fp)) break;
+ int type, tag, leaf, comp, type2, tag2, leaf2, comp2;
+ int r = sscanf(buffer, "%d %d %d %d %d %d %d %d", &type, &tag,
+ &leaf, &comp, &type2, &tag2, &leaf2, &comp2);
+ if(r >= 4) {
+ e++;
+ if(type == 8) elementGroups[elementTags[tag]].push_back(num);
+ }
+ if(r == 8) {
+ e++;
+ if(type2 == 8) elementGroups[elementTags[tag2]].push_back(num);
+ }
+ if(r != 4 && r != 8) break;
+ }
+ }
}
}
- else if(record == 2477) { // groups elements
- Msg::Info(
- "Discarding element/node groups: currently still reading physical "
- "tags directly from elements");
+ }
+ }
+
+ if(groupNames.size()) {
+ // if element groups are given, create new elementary entity tags for each
+ // unique combination of (elementary, physical, group(s)), as (elementary,
+ // physical) has no garantee to be coherent with the element groups (and is
+ // usually not - see e.g. the UNV files created by ANSA, where e.g. all
+ // surface elements can be associated with the same (elementary, physical)
+ // pair but be split amongst (possibly overlapping) element groups)
+ std::map<std::vector<int>, int> entity;
+ std::map<int, std::vector<MElement *> > elementsNew[7];
+
+ int maxgroup = 0;
+ for(auto g : groupNames) maxgroup = std::max(g.first, maxgroup);
+
+ for(auto &it : elementGroups) {
+ MElement *e = it.first;
+ if(e) {
+ int elementaryNew = 0;
+ auto ent = entity.find(it.second);
+ if(ent == entity.end()) {
+ elementaryNew = entity.size() + 1;
+ entity[it.second] = elementaryNew;
+ }
+ else
+ elementaryNew = ent->second;
+ int t = e->getType();
+ int k = (t == TYPE_LIN) ? 0 : (t == TYPE_TRI) ? 1 : (t == TYPE_QUA) ? 2 :
+ (t == TYPE_TET) ? 3 : (t == TYPE_HEX) ? 4 : (t == TYPE_PRI) ? 5 : -1;
+ int dim = e->getDim();
+ if(k >= 0) {
+ elementsNew[k][elementaryNew].push_back(e);
+ if(it.second.size() > 2) {
+ // we have one or more element groups
+ for(std::size_t g = 2; g < it.second.size(); g++) {
+ int physicalNew = it.second[g];
+ if(!physicals[dim].count(elementaryNew) ||
+ !physicals[dim][elementaryNew].count(physicalNew))
+ physicals[dim][elementaryNew][physicalNew] =
+ groupNames[physicalNew];
+ }
+ }
+ else if(it.second.size() > 1){
+ int physicalNew = CTX::instance()->mesh.switchElementTags ?
+ it.second[0] : it.second[1];
+ // if the group num exists, add an offset (we could also simply not
+ // define physical groups other than those in the element
+ // groups... not sure what's best)
+ if(groupNames.count(physicalNew)) physicalNew += maxgroup;
+ if(!physicals[dim].count(elementaryNew) ||
+ !physicals[dim][elementaryNew].count(physicalNew))
+ physicals[dim][elementaryNew][physicalNew] = "unnamed";
+ }
+ }
}
}
+ for(int i = 0; i < (int)(sizeof(elements) / sizeof(elements[0])); i++)
+ elements[i] = elementsNew[i];
}
for(int i = 0; i < (int)(sizeof(elements) / sizeof(elements[0])); i++)
@@ -281,7 +393,8 @@ static std::string physicalName(GModel *m, int dim, int num)
}
int GModel::writeUNV(const std::string &name, bool saveAll,
- bool saveGroupsOfNodes, double scalingFactor)
+ bool saveGroupsOfElements, bool saveGroupsOfNodes,
+ double scalingFactor)
{
FILE *fp = Fopen(name.c_str(), "w");
if(!fp) {
@@ -319,67 +432,71 @@ int GModel::writeUNV(const std::string &name, bool saveAll,
}
fprintf(fp, "%6d\n", -1);
- std::map<int, std::vector<GEntity *> > groups[4];
- getPhysicalGroups(groups);
+ // save groups of elements and/or groups of nodes, if requested, for each
+ // physical group
+ if(saveGroupsOfNodes || saveGroupsOfElements) {
- // save groups of elements (and groups of nodes if requested) for each
- // physical
- fprintf(fp, "%6d\n", -1);
- fprintf(fp, "%6d\n", 2477);
- for(int dim = 0; dim <= 3; dim++) {
- for(auto it = groups[dim].begin(); it != groups[dim].end(); it++) {
- std::vector<GEntity *> &entities = it->second;
+ std::map<int, std::vector<GEntity *> > groups[4];
+ getPhysicalGroups(groups);
- std::set<MVertex *, MVertexPtrLessThan> nodes;
- if(saveGroupsOfNodes) {
- for(std::size_t i = 0; i < entities.size(); i++) {
- for(std::size_t j = 0; j < entities[i]->getNumMeshElements(); j++) {
- MElement *e = entities[i]->getMeshElement(j);
- for(std::size_t k = 0; k < e->getNumVertices(); k++)
- nodes.insert(e->getVertex(k));
+ fprintf(fp, "%6d\n", -1);
+ fprintf(fp, "%6d\n", 2477);
+ for(int dim = 0; dim <= 3; dim++) {
+ for(auto it = groups[dim].begin(); it != groups[dim].end(); it++) {
+ std::vector<GEntity *> &entities = it->second;
+
+ std::set<MVertex *, MVertexPtrLessThan> nodes;
+ if(saveGroupsOfNodes) {
+ for(std::size_t i = 0; i < entities.size(); i++) {
+ for(std::size_t j = 0; j < entities[i]->getNumMeshElements(); j++) {
+ MElement *e = entities[i]->getMeshElement(j);
+ for(std::size_t k = 0; k < e->getNumVertices(); k++)
+ nodes.insert(e->getVertex(k));
+ }
}
}
- }
-
- int nele = 0;
- for(std::size_t i = 0; i < entities.size(); i++)
- nele += entities[i]->getNumMeshElements();
- fprintf(fp, "%10d%10d%10d%10d%10d%10d%10d%10d\n", it->first, 0, 0, 0, 0,
- 0, 0, (int)nodes.size() + nele);
- fprintf(fp, "%s\n", physicalName(this, dim, it->first).c_str());
-
- if(saveGroupsOfNodes) {
- int row = 0;
- for(auto it2 = nodes.begin(); it2 != nodes.end(); it2++) {
- if(row == 2) {
- fprintf(fp, "\n");
- row = 0;
- }
- fprintf(fp, "%10d%10ld%10d%10d", 7, (*it2)->getIndex(), 0, 0);
- row++;
+ int nele = 0;
+ if(saveGroupsOfElements) {
+ for(std::size_t i = 0; i < entities.size(); i++)
+ nele += entities[i]->getNumMeshElements();
}
- fprintf(fp, "\n");
- }
- {
- int row = 0;
- for(std::size_t i = 0; i < entities.size(); i++) {
- for(std::size_t j = 0; j < entities[i]->getNumMeshElements(); j++) {
- MElement *e = entities[i]->getMeshElement(j);
+ fprintf(fp, "%10d%10d%10d%10d%10d%10d%10d%10d\n", it->first, 0, 0, 0, 0,
+ 0, 0, (int)nodes.size() + nele);
+ fprintf(fp, "%s\n", physicalName(this, dim, it->first).c_str());
+
+ if(saveGroupsOfNodes) {
+ int row = 0;
+ for(auto it2 = nodes.begin(); it2 != nodes.end(); it2++) {
if(row == 2) {
fprintf(fp, "\n");
row = 0;
}
- fprintf(fp, "%10d%10lu%10d%10d", 8, e->getNum(), 0, 0);
+ fprintf(fp, "%10d%10ld%10d%10d", 7, (*it2)->getIndex(), 0, 0);
row++;
}
+ fprintf(fp, "\n");
+ }
+ if(saveGroupsOfElements) {
+ int row = 0;
+ for(std::size_t i = 0; i < entities.size(); i++) {
+ for(std::size_t j = 0; j < entities[i]->getNumMeshElements(); j++) {
+ MElement *e = entities[i]->getMeshElement(j);
+ if(row == 2) {
+ fprintf(fp, "\n");
+ row = 0;
+ }
+ fprintf(fp, "%10d%10lu%10d%10d", 8, e->getNum(), 0, 0);
+ row++;
+ }
+ }
+ fprintf(fp, "\n");
}
- fprintf(fp, "\n");
}
}
+ fprintf(fp, "%6d\n", -1);
}
- fprintf(fp, "%6d\n", -1);
fclose(fp);
return 1;
diff --git a/Geo/GModelParametrize.cpp b/Geo/GModelParametrize.cpp
index b00bb8d6c9548410601a4fa61c531e9960e7f9f5..5f9df8831c98480aae48262c329ef392c925d56e 100644
--- a/Geo/GModelParametrize.cpp
+++ b/Geo/GModelParametrize.cpp
@@ -705,6 +705,20 @@ bool computeParametrization(const std::vector<MTriangle *> &triangles,
return true;
}
+#if 0
+static void debugTriangulation(const std::vector<MTriangle *> &triangles,
+ const std::string &label)
+{
+ FILE *fp = Fopen("debug.pos", "w");
+ if(!fp) return;
+ fprintf(fp, "View\"%s\"{\n", label.c_str());
+ for(auto t : triangles) t->writePOS(fp, false, true, false, false, false, false);
+ fprintf(fp, "};\n");
+ fclose(fp);
+ exit(1);
+}
+#endif
+
static int isTriangulationParametrizable(const std::vector<MTriangle *> &t,
int Nmax, std::ostringstream &why)
{
@@ -736,6 +750,7 @@ static int isTriangulationParametrizable(const std::vector<MTriangle *> &t,
}
if(bnd.empty()) {
why << "poincare characteristic 2 is not 0";
+ //debugTriangulation(t, why.str());
return 2;
}
diff --git a/Geo/MElement.cpp b/Geo/MElement.cpp
index 936968d8a03bb90728e6cba30dd1bcb8df17313a..49750cf952540da6b2836923ad55700fc24943de 100644
--- a/Geo/MElement.cpp
+++ b/Geo/MElement.cpp
@@ -1698,12 +1698,7 @@ void MElement::writeMATLAB(FILE *fp, int filetype, int elementary, int physical,
void MElement::writeUNV(FILE *fp, int num, int elementary, int physical)
{
int type = getTypeForUNV();
- if(!type) {
- Msg::Warning("Unknown element type for UNV export (MSH type %d) - "
- "output file might be invalid",
- getTypeForMSH());
- return;
- }
+ if(!type) return;
int n = getNumVertices();
int physical_property = elementary;
diff --git a/Geo/MVertex.h b/Geo/MVertex.h
index 234b044820e128f131170761d702ef508980e36d..764320e09be6b4bf39e2c103369d690b8226218b 100644
--- a/Geo/MVertex.h
+++ b/Geo/MVertex.h
@@ -71,6 +71,12 @@ public:
_y = y;
_z = z;
}
+ void setXYZ(const SPoint3& pt)
+ {
+ _x = pt.x();
+ _y = pt.y();
+ _z = pt.z();
+ }
// get/set the parent entity
GEntity *onWhat() const { return _ge; }
diff --git a/Geo/OCCEdge.cpp b/Geo/OCCEdge.cpp
index c8554380e75a760ec9f109996f426bd9cf678cfc..2758747dd279fb71bf9d8e9d53eb72ad8aa4588d 100644
--- a/Geo/OCCEdge.cpp
+++ b/Geo/OCCEdge.cpp
@@ -198,7 +198,7 @@ bool OCCEdge::_project(const double p[3], double &u, double xyz[3]) const
GeomAPI_ProjectPointOnCurve proj(pnt, _curve, umin, umax);
if(!proj.NbPoints()) {
- Msg::Warning("Projection of point (%g, %g, %g) on curve %d failed", p[0],
+ Msg::Debug("Projection of point (%g, %g, %g) on curve %d failed", p[0],
p[1], p[2], tag());
return false;
}
diff --git a/Geo/OCCFace.cpp b/Geo/OCCFace.cpp
index cdc4b132511f47536f69c125ce21a64e7cfeef05..b138da8348d414fc304c628ad427abe81298c965 100644
--- a/Geo/OCCFace.cpp
+++ b/Geo/OCCFace.cpp
@@ -252,14 +252,14 @@ bool OCCFace::_project(const double p[3], double uv[2], double xyz[3]) const
gp_Pnt pnt(p[0], p[1], p[2]);
GeomAPI_ProjectPointOnSurf proj(pnt, _occface, umin, umax, vmin, vmax);
if(!proj.NbPoints()) {
- Msg::Warning("Projection of point (%g, %g, %g) on surface %d failed", p[0],
- p[1], p[2], tag());
+ Msg::Debug("Projection of point (%g, %g, %g) on surface %d failed", p[0],
+ p[1], p[2], tag());
return false;
}
proj.LowerDistanceParameters(uv[0], uv[1]);
if(uv[0] < umin || uv[0] > umax || uv[1] < vmin || uv[1] > vmax)
- Msg::Warning("Point projection is out of surface parameter bounds");
+ Msg::Debug("Point projection is out of surface parameter bounds");
if(xyz) {
pnt = proj.NearestPoint();
@@ -294,7 +294,7 @@ SPoint2 OCCFace::parFromPoint(const SPoint3 &qp, bool onSurface) const
if(_project(qp.data(), uv, nullptr))
return SPoint2(uv[0], uv[1]);
else
- return GFace::parFromPoint(qp);
+ return GFace::parFromPoint(qp, onSurface);
}
GEntity::GeomType OCCFace::geomType() const
diff --git a/Geo/SOrientedBoundingBox.cpp b/Geo/SOrientedBoundingBox.cpp
index 48442dd833149b0a6abf99ee0400c14662e0e171..aec868992eae916c107ac61d1ed75b911b00ea4c 100644
--- a/Geo/SOrientedBoundingBox.cpp
+++ b/Geo/SOrientedBoundingBox.cpp
@@ -22,7 +22,8 @@
#endif
SOrientedBoundingRectangle::SOrientedBoundingRectangle()
- : center({0.0, 0.0}), size({0.0, 0.0}), axisX({0.0, 0.0}), axisY({0.0, 0.0})
+ : center({{0.0, 0.0}}), size({{0.0, 0.0}}), axisX({{0.0, 0.0}}),
+ axisY({{0.0, 0.0}})
{
}
diff --git a/Geo/SPoint2.h b/Geo/SPoint2.h
index 3c06e087eb648ff45c9f0e01138399090f8088cd..d1ea0342200c553d5a562b4d1c0176ccfca726fa 100644
--- a/Geo/SPoint2.h
+++ b/Geo/SPoint2.h
@@ -51,6 +51,8 @@ public:
if(other.P[1] < P[1]) return true;
return false;
}
+ const double *data() const { return P; }
+ double *data() { return P; }
};
inline SPoint2 operator+(const SPoint2 &a, const SPoint2 &b)
diff --git a/Geo/SPoint3.h b/Geo/SPoint3.h
index ddc14abc9788eb84f8a6f967fa9ae8abc0d46eac..4e85248a8417116e5f15bbc8e904548813fe7f0b 100644
--- a/Geo/SPoint3.h
+++ b/Geo/SPoint3.h
@@ -8,6 +8,7 @@
#include <cmath>
#include <vector>
+#include <array>
// A point in 3-space
class SPoint3 {
@@ -86,6 +87,8 @@ public:
}
return true;
}
+ // implicit conversion to std::array<double, 3>
+ operator std::array<double, 3>() const { return {{P[0], P[1], P[2]}}; }
};
inline SPoint3 operator+(const SPoint3 &a, const SPoint3 &b)
diff --git a/Geo/SVector3.h b/Geo/SVector3.h
index 43f9caed733e51d3c5cfd10603e5e1f630830913..c803808766e9b0a9de419c9c5c0d1225cf3819cd 100644
--- a/Geo/SVector3.h
+++ b/Geo/SVector3.h
@@ -9,6 +9,7 @@
#include "SPoint3.h"
#include <string>
#include <stdio.h>
+#include <array>
#include "GmshMessage.h"
// concrete class for vector of size 3
@@ -132,6 +133,8 @@ public:
{
for(int i = 0; i < 3; i++) { P[i] += (a * y[i]); }
}
+ // implicit conversion to std::array<double,3>
+ operator std::array<double, 3>() const { return {{P[0], P[1], P[2]}}; }
};
inline double dot(const SVector3 &a, const SVector3 &b)
diff --git a/Geo/gmshEdge.cpp b/Geo/gmshEdge.cpp
index d98c670b6ae4c17203e4cd0d24b577a141993c54..6769c306bc8bd01d1390ea362d2f80458540a636 100644
--- a/Geo/gmshEdge.cpp
+++ b/Geo/gmshEdge.cpp
@@ -426,6 +426,10 @@ void gmshEdge::writeGEO(FILE *fp)
fprintf(fp, " Using Progression ");
else if(std::abs(meshAttributes.typeTransfinite) == 2)
fprintf(fp, " Using Bump ");
+ else if(std::abs(meshAttributes.typeTransfinite) == 3)
+ fprintf(fp, " Using Beta ");
+ else if(std::abs(meshAttributes.typeTransfinite) == 4)
+ fprintf(fp, " Using Sizemap ");
fprintf(fp, "%g", meshAttributes.coeffTransfinite);
}
fprintf(fp, ";\n");
diff --git a/Mesh/BackgroundMesh.cpp b/Mesh/BackgroundMesh.cpp
index 8aebcb5f26a74529a9849791013c337a8623044e..c324bc3efd32b8998e1bcc295935373bf72d5f85 100644
--- a/Mesh/BackgroundMesh.cpp
+++ b/Mesh/BackgroundMesh.cpp
@@ -544,6 +544,13 @@ void backgroundMesh::updateSizes(GFace *_gf)
MVertex *V1 = _2Dto3D[v1];
auto s0 = _sizes.find(V0);
auto s1 = _sizes.find(V1);
+ if(s0 == _sizes.end() || s1 == _sizes.end()) {
+ // Note: this Warning is disabled because it's too verbose in logs
+ // is this behavior normal ? Was doing undefined behavior before
+ // (detected by valgrind)
+ // Msg::Warning("in backgroundMesh::updateSizes(), vertex not found in maps");
+ continue;
+ }
if(s0->second < s1->second)
s1->second = std::min(s1->second, _beta * s0->second);
else
@@ -728,3 +735,172 @@ MElement *backgroundMesh::getMeshElementByCoord(double u, double v, double w,
}
return _octree->find(u, v, w, 2, strict);
}
+
+/* Global variable instanciation */
+std::vector<std::unique_ptr<GlobalBackgroundMesh> > global_bmeshes;
+
+bool backgroudMeshExists(const std::string &name)
+{
+ for(size_t i = 0; i < global_bmeshes.size(); ++i) {
+ if(global_bmeshes[i]->name == name) return true;
+ }
+ return false;
+}
+
+GlobalBackgroundMesh &getBackgroundMesh(const std::string &name)
+{
+ for(size_t i = 0; i < global_bmeshes.size(); ++i) {
+ if(global_bmeshes[i]->name == name) return *(global_bmeshes[i]);
+ }
+ global_bmeshes.push_back(
+ std::unique_ptr<GlobalBackgroundMesh>(new GlobalBackgroundMesh(name)));
+ return *(global_bmeshes.back());
+}
+
+GlobalBackgroundMesh::~GlobalBackgroundMesh()
+{
+ Msg::Debug("GlobalBackgroundMesh destructor call");
+ for(MVertex *v : mesh_vertices)
+ if(v) {
+ delete v;
+ v = nullptr;
+ }
+ mesh_vertices.clear();
+ edgeBackgroundMeshes.clear();
+ faceBackgroundMeshes.clear();
+}
+
+int GlobalBackgroundMesh::importGModelMeshes(GModel *_gm,
+ bool overwriteExisting)
+{
+ Msg::Debug("GlobalBackgroundMesh: import GModel mesh ...");
+ gm = _gm;
+
+ if(overwriteExisting && mesh_vertices.size() > 0) { /* Clear mesh */
+ Msg::Debug("- delete existing mesh (for overwrite)");
+ for(MVertex *v : mesh_vertices)
+ if(v) {
+ delete v;
+ v = nullptr;
+ }
+ mesh_vertices.clear();
+ edgeBackgroundMeshes.clear();
+ faceBackgroundMeshes.clear();
+ Msg::Debug("- import mesh from GModel");
+ }
+
+ std::unordered_map<MVertex *, MVertex *> old2new;
+
+ std::set<GVertex *, GEntityPtrLessThan> vertices = gm->getVertices();
+ std::set<GEdge *, GEntityPtrLessThan> edges = gm->getEdges();
+ for(GFace *gf : gm->getFaces()) {
+ for(GVertex *e : gf->embeddedVertices()) vertices.insert(e);
+ for(GEdge *e : gf->embeddedEdges()) edges.insert(e);
+ }
+
+ /* MVertex from GVertex */
+ mesh_vertices.reserve(mesh_vertices.size() + vertices.size());
+ for(GVertex *gv : vertices) {
+ for(size_t i = 0; i < gv->mesh_vertices.size(); ++i) {
+ MVertex *v = gv->mesh_vertices[i];
+ auto it = old2new.find(v);
+ if(it == old2new.end()) {
+ mesh_vertices.push_back(new MVertex(v->x(), v->y(), v->z(), gv));
+ old2new[v] = mesh_vertices.back();
+ }
+ }
+ }
+
+ /* MLine from GEdge */
+ size_t nlines = 0;
+ for(GEdge *ge : edges) {
+ edgeBackgroundMeshes[ge] = BackgroundMeshGEdge();
+ BackgroundMeshGEdge &bm = edgeBackgroundMeshes[ge];
+ bm.ge = ge;
+ for(size_t i = 0; i < ge->mesh_vertices.size(); ++i) {
+ MVertex *v = ge->mesh_vertices[i];
+ double t = 0.;
+ v->setParameter(0, t);
+ auto it = old2new.find(v);
+ if(it == old2new.end()) {
+ mesh_vertices.push_back(new MEdgeVertex(v->x(), v->y(), v->z(), ge, t));
+ old2new[v] = mesh_vertices.back();
+ }
+ }
+ bm.lines.reserve(ge->lines.size());
+ for(size_t i = 0; i < ge->lines.size(); ++i) {
+ MElement *elt = ge->lines[i];
+ MVertex *v0 = old2new[elt->getVertex(0)];
+ MVertex *v1 = old2new[elt->getVertex(1)];
+ if(v0 == NULL || v1 == NULL) {
+ Msg::Error("GlobalBackgroundMesh: failed to import mesh (1)");
+ // Note: some vertex are stored outside the GModel ?
+ return -1;
+ }
+ bm.lines.push_back(MLine(v0, v1));
+ nlines += 1;
+ }
+ }
+
+ /* MTriangle from GFace */
+ size_t ntris = 0;
+ for(GFace *gf : gm->getFaces()) {
+ faceBackgroundMeshes[gf] = BackgroundMeshGFace();
+ BackgroundMeshGFace &bm = faceBackgroundMeshes[gf];
+ bm.gf = gf;
+ /* Vertices */
+ for(size_t i = 0; i < gf->mesh_vertices.size(); ++i) {
+ MVertex *v = gf->mesh_vertices[i];
+ auto it = old2new.find(v);
+ if(it == old2new.end()) {
+ double uv0 = 0.;
+ double uv1 = 0.;
+ v->getParameter(0, uv0);
+ v->getParameter(1, uv1);
+ mesh_vertices.push_back(
+ new MFaceVertex(v->x(), v->y(), v->z(), gf, uv0, uv1));
+ old2new[v] = mesh_vertices.back();
+ }
+ }
+
+ bm.triangles.reserve(gf->triangles.size() + 2 * gf->quadrangles.size());
+ /* Triangles */
+ for(size_t i = 0; i < gf->triangles.size(); ++i) {
+ MElement *elt = gf->triangles[i];
+ MVertex *v0 = old2new[elt->getVertex(0)];
+ MVertex *v1 = old2new[elt->getVertex(1)];
+ MVertex *v2 = old2new[elt->getVertex(2)];
+ if(v0 == NULL || v1 == NULL || v2 == NULL) {
+ Msg::Error("GlobalBackgroundMesh: failed to import mesh (2)");
+ // Note: some vertex are stored outside the GModel ?
+ return -1;
+ }
+ bm.triangles.push_back(MTriangle(v0, v1, v2));
+ ntris += 1;
+ }
+
+ /* Quads */
+ if(gf->quadrangles.size() > 0) {
+ for(size_t i = 0; i < gf->quadrangles.size(); ++i) {
+ MElement *elt = gf->quadrangles[i];
+ MVertex *v0 = old2new[elt->getVertex(0)];
+ MVertex *v1 = old2new[elt->getVertex(1)];
+ MVertex *v2 = old2new[elt->getVertex(2)];
+ MVertex *v3 = old2new[elt->getVertex(3)];
+ if(v0 == NULL || v1 == NULL || v2 == NULL || v3 == NULL) {
+ Msg::Error("GlobalBackgroundMesh: failed to import mesh (3)");
+ // Note: some vertex are stored outside the GModel ?
+ return -1;
+ }
+ bm.triangles.push_back(MTriangle(v0, v1, v2));
+ bm.triangles.push_back(MTriangle(v0, v2, v3));
+ ntris += 2;
+ }
+ }
+ }
+
+ Msg::Debug("- imported: %li vertices, %li lines, %li triangles",
+ old2new.size(), nlines, ntris);
+
+ return 0;
+}
diff --git a/Mesh/BackgroundMesh.h b/Mesh/BackgroundMesh.h
index 4ae50cabe4dc820c16f7f9757af31488e377d28f..b535a0aa1ac2156b0f6deba8c6b749523d1814bb 100644
--- a/Mesh/BackgroundMesh.h
+++ b/Mesh/BackgroundMesh.h
@@ -8,15 +8,21 @@
#include <cmath>
#include <vector>
+#include <unordered_map>
#include <list>
+#include <memory>
#include "simpleFunction.h"
#include "BackgroundMeshTools.h"
+#include "MLine.h"
+#include "MTriangle.h"
#if defined(HAVE_ANN)
#include "ANN/ANN.h"
class ANNkd_tree;
#endif
+class GEntity;
+class GModel;
class MElementOctree;
class GFace;
class GEdge;
@@ -116,4 +122,63 @@ public:
}
};
+/************************************************************/
+/* Alternative datastructures for storing background meshes */
+/************************************************************/
+
+struct BackgroundMeshGEdge {
+ GEdge *ge = NULL;
+ std::vector<MLine> lines;
+};
+
+struct BackgroundMeshGFace {
+ GFace *gf = NULL;
+ std::vector<MTriangle> triangles;
+};
+
+/* @brief Store a collection of GEntity background meshes.
+ * Deal with the mesh import (see importEntityMeshes())
+ * New MVertex* instance are created by the import
+ * and are deleted by the destructor.
+ */
+class GlobalBackgroundMesh {
+public:
+ const std::string &name;
+ GModel *gm;
+ std::unordered_map<GEdge *, BackgroundMeshGEdge> edgeBackgroundMeshes;
+ std::unordered_map<GFace *, BackgroundMeshGFace> faceBackgroundMeshes;
+ std::vector<MVertex *> mesh_vertices;
+
+public:
+ GlobalBackgroundMesh(const std::string &_name) : name(_name), gm(NULL) {}
+ GlobalBackgroundMesh(GlobalBackgroundMesh const &) = delete;
+ GlobalBackgroundMesh &operator=(GlobalBackgroundMesh const &) = delete;
+ ~GlobalBackgroundMesh(); /* delete the MVertex instances stored in
+ mesh_vertices */
+
+ /**
+ * @brief Fill the entityMesh map by copying the meshes in the GModel.
+ * New MVertex, MLine and MTriangle instances are created, the
+ * background meshes are totally independant from the ones in the GModel after
+ * this function call.
+ * Quadrangles in GFace are split into two triangles.
+ *
+ * @param gm the GModel containing the GEntity whose meshes are imported
+ * @param overwriteExisting Delete existing background meshes before importing
+ * new ones
+ *
+ * @warning Only import GVertex, GEdge, GFace for the moment, not GRegion
+ *
+ * @return 0 if successful import
+ */
+ int importGModelMeshes(GModel *gm, bool overwriteExisting = true);
+};
+
+/* Global storage for access deep in meshing algorithms without passing
+ * reference everywhere. Use getBackgroundMesh(name) instead of direcly
+ * accessing the global variable. */
+extern std::vector<std::unique_ptr<GlobalBackgroundMesh> > global_bmeshes;
+bool backgroudMeshExists(const std::string &name);
+GlobalBackgroundMesh &getBackgroundMesh(const std::string &name);
+
#endif
diff --git a/Mesh/CMakeLists.txt b/Mesh/CMakeLists.txt
index 53241f650eccdf89367c00a2817c3adf28765b06..b9e7c34178322813cd47594a4fa996e63a05906c 100644
--- a/Mesh/CMakeLists.txt
+++ b/Mesh/CMakeLists.txt
@@ -19,6 +19,7 @@ set(SRC
meshGRegionLocalMeshMod.cpp meshGRegionMMG.cpp
meshGRegionBoundaryLayer.cpp
meshRelocateVertex.cpp
+ meshTriangulation.cpp
meshMetric.cpp
BackgroundMesh.cpp BackgroundMeshTools.cpp
qualityMeasures.cpp qualityMeasuresJacobian.cpp
@@ -33,6 +34,8 @@ set(SRC
filterElements.cpp
gmshCrossFields.cpp
automaticMeshSizeField.cpp
+ meshQuadQuasiStructured.cpp
+ meshOctreeLibOL.cpp
)
file(GLOB HDR RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} *.h)
diff --git a/Mesh/Field.cpp b/Mesh/Field.cpp
index 320f9e51a28c1d8fbf5c2cc153c82e4dd17cb138..252497dbb32b96092a9379e3f5448c98869d765f 100644
--- a/Mesh/Field.cpp
+++ b/Mesh/Field.cpp
@@ -1535,12 +1535,22 @@ public:
}
return v;
}
+
virtual bool isotropic() const
{
PView *v = getView();
if(v && v->getData()->getNumTensors()) return false;
return true;
}
+
+ virtual int numComponents() const
+ {
+ PView *v = getView();
+ if(v && v->getData()->getNumTensors()) return 9;
+ if(v && v->getData()->getNumVectors()) return 3;
+ return 1;
+ }
+
double operator()(double x, double y, double z, GEntity *ge = nullptr)
{
PView *v = getView();
@@ -1550,14 +1560,79 @@ public:
_octree = new OctreePost(v);
updateNeeded = false;
}
+
double l = 0.;
// use large tolerance (in element reference coordinates) to maximize chance
// of finding an element
- if(!_octree->searchScalarWithTol(x, y, z, &l, 0, nullptr, 0.05))
- Msg::Info("No scalar element found containing point (%g,%g,%g)", x, y, z);
+ if(numComponents() == 3) { // scaled cross field
+ double values[3];
+ if(!_octree->searchVectorWithTol(x, y, z, values, 0, nullptr, 0.05)) {
+ if(!_octree->searchVectorWithTol(x, y, z, values, 0, nullptr, .1)) {
+ Msg::Debug("Field sampling: no vector element found containing point "
+ "(%g,%g,%g) (for norm)",
+ x, y, z);
+ }
+ else {
+ l = sqrt(values[0] * values[0] + values[1] * values[1] +
+ values[2] * values[2]);
+ }
+ }
+ else {
+ l = sqrt(values[0] * values[0] + values[1] * values[1] +
+ values[2] * values[2]);
+ }
+ }
+ else if(numComponents() == 1) {
+ if(!_octree->searchScalarWithTol(x, y, z, &l, 0, nullptr, 0.05)) {
+ Msg::Debug(
+ "Field sampling: no scalar element found containing point (%g,%g,%g)",
+ x, y, z);
+ }
+ }
+ else {
+ Msg::Error("Field sampling: no view with the right dimension", x, y, z);
+ }
+
if(l <= 0 && _cropNegativeValues) return MAX_LC;
return l;
}
+
+ void operator()(double x, double y, double z, SVector3 &v, GEntity *ge = 0)
+ {
+ PView *vie = getView();
+ if(!vie) {
+ Msg::Error("PostViewField: no view");
+ v.data()[0] = MAX_LC;
+ v.data()[1] = MAX_LC;
+ v.data()[2] = MAX_LC;
+ return;
+ }
+ if(updateNeeded) {
+ if(_octree) delete _octree;
+ _octree = new OctreePost(vie);
+ updateNeeded = false;
+ }
+ if(numComponents() == 3) { // scaled cross field
+ double values[3];
+ if(!_octree->searchVectorWithTol(x, y, z, values, 0, nullptr, .05)) {
+ if(!_octree->searchVectorWithTol(x, y, z, values, 0, nullptr, .1)) {
+ Msg::Debug("Field sampling: no vector element found containing point "
+ "(%g,%g,%g)",
+ x, y, z);
+ }
+ else {
+ v = SVector3(values[0], values[1], values[2]);
+ }
+ }
+ else {
+ v = SVector3(values[0], values[1], values[2]);
+ }
+ }
+ else {
+ Msg::Error("Field sampling: no vector element");
+ }
+ }
+
void operator()(double x, double y, double z, SMetric3 &metr,
GEntity *ge = nullptr)
{
@@ -1572,7 +1647,9 @@ public:
// use large tolerance (in element reference coordinates) to maximize chance
// of finding an element
if(!_octree->searchTensorWithTol(x, y, z, l, 0, nullptr, 0.05))
- Msg::Info("No tensor element found containing point (%g,%g,%g)", x, y, z);
+ Msg::Debug(
+ "Field sampling: no tensor element found containing point (%g,%g,%g)",
+ x, y, z);
if(0 && _cropNegativeValues) {
if(l[0] <= 0 && l[1] <= 0 && l[2] <= 0 && l[3] <= 0 && l[4] <= 0 &&
l[5] <= 0 && l[6] <= 0 && l[7] <= 0 && l[8] <= 0) {
@@ -2838,17 +2915,19 @@ void BoundaryLayerField::setupFor1d(int iE)
if(!found) {
GEdge *ge = GModel::current()->getEdgeByTag(iE);
- GVertex *gv0 = ge->getBeginVertex();
- if(gv0) {
- found = std::find(_pointTagsSaved.begin(), _pointTagsSaved.end(),
- gv0->tag()) != _pointTagsSaved.end();
- if(found) _pointTags.push_back(gv0->tag());
- }
- GVertex *gv1 = ge->getEndVertex();
- if(gv1) {
- found = std::find(_pointTagsSaved.begin(), _pointTagsSaved.end(),
- gv1->tag()) != _pointTagsSaved.end();
- if(found) _pointTags.push_back(gv1->tag());
+ if(ge) {
+ GVertex *gv0 = ge->getBeginVertex();
+ if(gv0) {
+ found = std::find(_pointTagsSaved.begin(), _pointTagsSaved.end(),
+ gv0->tag()) != _pointTagsSaved.end();
+ if(found) _pointTags.push_back(gv0->tag());
+ }
+ GVertex *gv1 = ge->getEndVertex();
+ if(gv1) {
+ found = std::find(_pointTagsSaved.begin(), _pointTagsSaved.end(),
+ gv1->tag()) != _pointTagsSaved.end();
+ if(found) _pointTags.push_back(gv1->tag());
+ }
}
}
removeAttractors();
@@ -2875,6 +2954,7 @@ bool BoundaryLayerField::setupFor2d(int iF)
// OR (better) CHANGE THE PHILOSOPHY
GFace *gf = GModel::current()->getFaceByTag(iF);
+ if(!gf) return false;
std::vector<GEdge *> ed = gf->edges();
std::vector<GEdge *> const &embedded_edges = gf->embeddedEdges();
ed.insert(ed.begin(), embedded_edges.begin(), embedded_edges.end());
@@ -2961,16 +3041,18 @@ void BoundaryLayerField::computeFor1dMesh(double x, double y, double z,
double distk = 1.e22;
for(auto it = _pointTags.begin(); it != _pointTags.end(); ++it) {
GVertex *v = GModel::current()->getVertexByTag(*it);
- double xp = v->x();
- double yp = v->y();
- double zp = v->z();
- const double dist =
- sqrt((x - xp) * (x - xp) + (y - yp) * (y - yp) + (z - zp) * (z - zp));
- if(dist < distk) {
- distk = dist;
- xpk = xp;
- ypk = yp;
- zpk = zp;
+ if(v) {
+ double xp = v->x();
+ double yp = v->y();
+ double zp = v->z();
+ const double dist =
+ sqrt((x - xp) * (x - xp) + (y - yp) * (y - yp) + (z - zp) * (z - zp));
+ if(dist < distk) {
+ distk = dist;
+ xpk = xp;
+ ypk = yp;
+ zpk = zp;
+ }
}
}
@@ -3012,6 +3094,7 @@ void BoundaryLayerField::operator()(DistanceField *cc, double dist, double x,
double beta = CTX::instance()->mesh.smoothRatio;
if(pp.first.dim == 0) {
GVertex *v = GModel::current()->getVertexByTag(pp.first.ent);
+ if(!v) return;
SVector3 t1;
if(dist < thickness) { t1 = SVector3(1, 0, 0); }
else {
@@ -3022,6 +3105,7 @@ void BoundaryLayerField::operator()(DistanceField *cc, double dist, double x,
}
else if(pp.first.dim == 1) {
GEdge *e = GModel::current()->getEdgeByTag(pp.first.ent);
+ if(!e) return;
if(dist < thickness) {
SVector3 t1 = e->firstDer(pp.first.u);
double crv = e->curvature(pp.first.u);
@@ -3043,6 +3127,7 @@ void BoundaryLayerField::operator()(DistanceField *cc, double dist, double x,
}
else {
GFace *gf = GModel::current()->getFaceByTag(pp.first.ent);
+ if(!gf) return;
if(dist < thickness) {
double cmin, cmax;
SVector3 dirMax, dirMin;
diff --git a/Mesh/Field.h b/Mesh/Field.h
index 98cd07e8182027cc5342272ceae8a658523ed627..8a56958cb1af932dc62e2685b9bc566271d96dab 100644
--- a/Mesh/Field.h
+++ b/Mesh/Field.h
@@ -108,10 +108,16 @@ public:
int id;
std::map<std::string, FieldOption *> options;
std::map<std::string, FieldCallback *> callbacks;
+ virtual int numComponents() const { return 1; }
virtual bool isotropic() const { return true; }
// isotropic
virtual double operator()(double x, double y, double z,
GEntity *ge = nullptr) = 0;
+ // vector value
+ virtual void operator()(double x, double y, double z, SVector3 &,
+ GEntity *ge = 0)
+ {
+ }
// anisotropic
virtual void operator()(double x, double y, double z, SMetric3 &,
GEntity *ge = nullptr)
diff --git a/Mesh/Generator.cpp b/Mesh/Generator.cpp
index 9aacfdd25925c198fe89e1b5136dd5b9da1145cf..79f2924447c558524db7a215c571c15c613751b8 100644
--- a/Mesh/Generator.cpp
+++ b/Mesh/Generator.cpp
@@ -34,6 +34,7 @@
#include "Field.h"
#include "Options.h"
#include "Generator.h"
+#include "meshQuadQuasiStructured.h"
#if defined(_OPENMP)
#include <omp.h>
@@ -553,6 +554,18 @@ static void Mesh2D(GModel *m)
Msg::SetNumThreads(prevNumThreads);
+ if(CTX::instance()->mesh.algo2d == ALGO_2D_QUAD_QUASI_STRUCT) {
+ /* In the quasi-structured pipeline, the quad-dominant mesh
+ * is subdivided into a full quad mesh */
+ /* TODO: - a faster CAD projection approach (from uv)
+ * - verify quality during projection */
+ // bool linear = false;
+ // RefineMesh(m, linear, true, false);
+ RefineMeshWithBackgroundMeshProjection(m);
+
+ OptimizeMesh(m, "QuadQuasiStructured");
+ }
+
double t2 = Cpu(), w2 = TimeOfDay();
CTX::instance()->meshTimer[1] = w2 - w1;
Msg::StatusBar(true, "Done meshing 2D (Wall %gs, CPU %gs)",
@@ -983,7 +996,9 @@ void OptimizeMesh(GModel *m, const std::string &how, bool force, int niter)
if(how != "" && how != "Gmsh" && how != "Optimize" && how != "Netgen" &&
how != "HighOrder" && how != "HighOrderElastic" &&
how != "HighOrderFastCurving" && how != "Laplace2D" &&
- how != "Relocate2D" && how != "Relocate3D") {
+ how != "Relocate2D" && how != "Relocate3D" &&
+ how != "DiskQuadrangulation" && how != "QuadCavityRemeshing" &&
+ how != "QuadQuasiStructured") {
Msg::Error("Unknown mesh optimization method '%s'", how.c_str());
return;
}
@@ -1065,6 +1080,51 @@ void OptimizeMesh(GModel *m, const std::string &how, bool force, int niter)
RelocateVertices(gr, niter);
}
}
+ else if(how == "DiskQuadrangulation") {
+ for(GFace *gf : m->getFaces())
+ if(gf->meshStatistics.status == GFace::DONE) {
+ gf->meshStatistics.status = GFace::PENDING;
+ }
+
+ transferSeamGEdgesVerticesToGFace(m);
+ optimizeTopologyWithDiskQuadrangulationRemeshing(m);
+
+ for(GFace *gf : m->getFaces())
+ if(gf->meshStatistics.status == GFace::PENDING) {
+ gf->meshStatistics.status = GFace::DONE;
+ }
+ }
+ else if(how == "QuadCavityRemeshing") {
+ for(GFace *gf : m->getFaces())
+ if(gf->meshStatistics.status == GFace::DONE) {
+ gf->meshStatistics.status = GFace::PENDING;
+ }
+
+ transferSeamGEdgesVerticesToGFace(m);
+ optimizeTopologyWithCavityRemeshing(m);
+
+ for(GFace *gf : m->getFaces())
+ if(gf->meshStatistics.status == GFace::PENDING) {
+ gf->meshStatistics.status = GFace::DONE;
+ }
+ }
+ else if(how == "QuadQuasiStructured") {
+ /* The following methods only act on faces whose status is PENDING */
+ for(GFace *gf : m->getFaces())
+ if(gf->meshStatistics.status == GFace::DONE) {
+ gf->meshStatistics.status = GFace::PENDING;
+ }
+
+ transferSeamGEdgesVerticesToGFace(m);
+ quadMeshingOfSimpleFacesWithPatterns(m);
+ optimizeTopologyWithDiskQuadrangulationRemeshing(m);
+ optimizeTopologyWithCavityRemeshing(m);
+
+ for(GFace *gf : m->getFaces())
+ if(gf->meshStatistics.status == GFace::PENDING) {
+ gf->meshStatistics.status = GFace::DONE;
+ }
+ }
if(Msg::GetVerbosity() > 98)
std::for_each(m->firstRegion(), m->lastRegion(),
@@ -1393,8 +1453,6 @@ void GenerateMesh(GModel *m, int ask)
m->clearLastMeshEntityError();
m->clearLastMeshVertexError();
- int old = m->getMeshStatus(false);
-
// Initialize pseudo random mesh generator with the same seed
srand(CTX::instance()->mesh.randomSeed);
@@ -1403,6 +1461,51 @@ void GenerateMesh(GModel *m, int ask)
SetOrder1(m, false, true);
FixPeriodicMesh(m);
+ // Some meshing algorithms require a global background mesh
+ // and a guiding field (e.g. cross field + size map)
+ QuadqsContextUpdater *qqs = nullptr;
+ if(CTX::instance()->mesh.algo2d == ALGO_2D_PACK_PRLGRMS ||
+ CTX::instance()->mesh.algo2d == ALGO_2D_QUAD_QUASI_STRUCT) {
+ int old = m->getMeshStatus(false);
+ bool doIt = (ask >= 1 && ask <= 3);
+ bool exists = backgroundMeshAndGuidingFieldExists(m);
+ if(old == 1 && ask == 1 && exists) doIt = true;
+ if(old == 1 && ask == 2 && exists) doIt = false;
+ if(old == 2 && ask == 2 && exists) doIt = true;
+ if(doIt) {
+ bool overwriteGModelMesh = false; /* use current mesh if available */
+ bool deleteGModelMeshAfter =
+ true; /* mesh saved in background, no longer needed */
+ BuildBackgroundMeshAndGuidingField(m, overwriteGModelMesh,
+ deleteGModelMeshAfter);
+ }
+
+ if(CTX::instance()->mesh.algo2d == ALGO_2D_QUAD_QUASI_STRUCT
+ && old == 2 && ask == 2 && exists) {
+ /* transferSeamGEdgesVerticesToGFace() called by quadqs remove the 1D
+ * meshes of the seam GEdge, so 2D initial meshing does not work without
+ * first remeshing the seam GEdge. We delete the whole mesh by security */
+ m->deleteMesh();
+ }
+
+ if(CTX::instance()->mesh.algo2d == ALGO_2D_QUAD_QUASI_STRUCT) {
+ /* note: the creation of QuadqsContextUpdater modifies many
+ * meshing parameters */
+ qqs = new QuadqsContextUpdater();
+ }
+
+ if(CTX::instance()->mesh.algo2d == ALGO_2D_QUAD_QUASI_STRUCT) {
+ std::set<GFace *> faces;
+ for(GFace *gf : m->getFaces())
+ if(gf->edges().size() == 4) { faces.insert(gf); }
+ double maxDiffRel = 0.34; /* do not deviate more than 34% from size map */
+ MeshSetTransfiniteFacesAutomatic(faces, 2.35, true, maxDiffRel);
+ }
+ }
+
+ // dimension of previous/existing mesh
+ int old = m->getMeshStatus(false);
+
// 1D mesh
if(ask == 1 || (ask > 1 && old < 1)) {
std::for_each(m->firstRegion(), m->lastRegion(), deMeshGRegion());
@@ -1475,6 +1578,8 @@ void GenerateMesh(GModel *m, int ask)
Msg::PrintErrorCounter("Mesh generation error summary");
+ if(qqs != nullptr) delete qqs;
+
CTX::instance()->lock = 0;
// ProfilerStop();
}
diff --git a/Mesh/meshGEdge.cpp b/Mesh/meshGEdge.cpp
index 4671152241c283d99b5ca080410eabe44b29d263..bd1439d17722c4f98dcffdf7710b532a4fb02393 100644
--- a/Mesh/meshGEdge.cpp
+++ b/Mesh/meshGEdge.cpp
@@ -621,6 +621,14 @@ int meshGEdgeProcessing(GEdge *ge, const double t_begin, double t_end, int &N,
a = 0.;
N = 1;
}
+ else if(ge->meshAttributes.method == MESH_TRANSFINITE &&
+ ge->meshAttributes.typeTransfinite == 4) {
+ // Transfinite (prescribed number of edges) but the points are positioned
+ // according to the standard size constraints (size map, etc)
+ a = Integration(ge, t_begin, t_end, F_Lc(), Points,
+ CTX::instance()->mesh.lcIntegrationPrecision);
+ N = ge->meshAttributes.nbPointsTransfinite;
+ }
else if(ge->meshAttributes.method == MESH_TRANSFINITE) {
a = Integration(ge, t_begin, t_end, F_Transfinite(), Points,
CTX::instance()->mesh.lcIntegrationPrecision);
@@ -805,7 +813,9 @@ void meshGEdge::operator()(GEdge *ge)
mesh_vertices = vv;
}
- if(CTX::instance()->mesh.algo2d != ALGO_2D_BAMG)
+ if(CTX::instance()->mesh.algo2d != ALGO_2D_BAMG &&
+ CTX::instance()->mesh.algo2d != ALGO_2D_QUAD_QUASI_STRUCT &&
+ CTX::instance()->mesh.algo2d != ALGO_2D_PACK_PRLGRMS)
if(_addBegin.empty() && _addEnd.empty())
filterPoints(ge, filterMinimumN - 2);
@@ -828,6 +838,10 @@ void meshGEdge::operator()(GEdge *ge)
v0->y() = beg_p.y();
v0->z() = beg_p.z();
}
+
+ Msg::Debug("Meshing curve %d (%s): %li interior vertices", ge->tag(),
+ ge->getTypeString().c_str(), ge->mesh_vertices.size());
+
ge->meshStatistics.status = GEdge::DONE;
}
diff --git a/Mesh/meshGFace.cpp b/Mesh/meshGFace.cpp
index f945b2ec2ead1f059305830bbae6ac1b7875b3d8..ac77288cded92584241e62b57ba591bdce5cfe3a 100644
--- a/Mesh/meshGFace.cpp
+++ b/Mesh/meshGFace.cpp
@@ -41,6 +41,10 @@
// define this to use the old initial delaunay
#define OLD_CODE_DELAUNAY 1
+#ifndef OLD_CODE_DELAUNAY
+#include "meshTriangulation.h"
+#endif
+
bool pointInsideParametricDomain(std::vector<SPoint2> &bnd, SPoint2 &p,
SPoint2 &out, int &N)
{
@@ -1368,44 +1372,52 @@ bool meshGenerator(GFace *gf, int RECUR_ITER, bool repairSelfIntersecting1dMesh,
}
#else
{
- std::vector<MVertex *> v;
- std::vector<MTriangle *> result;
- v.insert(v.end(), all_vertices.begin(), all_vertices.end());
+ // New Stuff comes here --> it actually does everything
+ // -- triangulate points
+ // -- recover edges
+ // -- color triangles
- std::map<MVertex *, SPoint3> pos;
- for(std::size_t i = 0; i < v.size(); i++) {
- MVertex *v0 = v[i];
- BDS_Point *p0 = recoverMapInv[v0];
- pos[v0] = SPoint3(v0->x(), v0->y(), v0->z());
- v0->setXYZ(p0->u, p0->v, 0.0);
+ std::vector<GEdge *> temp;
+ if(replacement_edges) {
+ temp = gf->edges();
+ gf->set(*replacement_edges);
}
- delaunayMeshIn2D(v, result, 0);
+ // TEST --> recover and color so most of the code below
+ // can go away. Works also for periodic faces
+ GFaceInitialMesh(gf->tag(), 1);
+
+ PolyMesh *pm = GFaceInitialMesh(gf->tag(), 1);
+
+ if(replacement_edges) { gf->set(temp); }
- for(std::size_t i = 0; i < v.size() - 4; i++) {
- MVertex *v0 = v[i];
- SPoint3 pp = pos[v0];
- v0->setXYZ(pp.x(), pp.y(), pp.z());
+ std::map<int, BDS_Point *> aaa;
+ for(auto it = all_vertices.begin(); it != all_vertices.end(); it++) {
+ MVertex *here = *it;
+ aaa[here->getNum()] = recoverMapInv[here];
}
- // add the four corners
for(int ip = 0; ip < 4; ip++) {
- MVertex *vv = v[v.size() - ip - 1];
- BDS_Point *pp = m->add_point(-ip - 1, vv->x(), vv->y(), gf);
+ PolyMesh::Vertex *v = pm->vertices[ip];
+ v->data = -ip - 1;
+ BDS_Point *pp =
+ m->add_point(v->data, v->position.x(), v->position.y(), gf);
m->add_geom(gf->tag(), 2);
- recoverMapInv[vv] = pp;
BDS_GeomEntity *g = m->get_geom(gf->tag(), 2);
pp->g = g;
+ aaa[v->data] = pp;
}
- // add the triangles
- for(std::size_t i = 0; i < result.size(); i++) {
- MVertex *v0 = result[i]->getVertex(0);
- MVertex *v1 = result[i]->getVertex(1);
- MVertex *v2 = result[i]->getVertex(2);
- BDS_Point *p0 = recoverMapInv[v0];
- BDS_Point *p1 = recoverMapInv[v1];
- BDS_Point *p2 = recoverMapInv[v2];
- m->add_triangle(p0->iD, p1->iD, p2->iD);
+
+ for(size_t i = 0; i < pm->faces.size(); i++) {
+ PolyMesh::HalfEdge *he = pm->faces[i]->he;
+ int a = he->v->data;
+ int b = he->next->v->data;
+ int c = he->next->next->v->data;
+ BDS_Point *p1 = aaa[a];
+ BDS_Point *p2 = aaa[b];
+ BDS_Point *p3 = aaa[c];
+ m->add_triangle(p1->iD, p2->iD, p3->iD);
}
+ delete pm;
}
#endif
@@ -1706,7 +1718,8 @@ bool meshGenerator(GFace *gf, int RECUR_ITER, bool repairSelfIntersecting1dMesh,
else if(gf->getMeshingAlgo() == ALGO_2D_PACK_PRLGRMS ||
gf->getMeshingAlgo() == ALGO_2D_PACK_PRLGRMS_CSTR) {
infty = true;
- if(!onlyInitialMesh) buildBackgroundMesh(gf, false);
+ /* New version of PACK / QUADQS use a different background mesh */
+ // if(!onlyInitialMesh) buildBackgroundMesh(gf, false);
}
if(!onlyInitialMesh)
@@ -1723,7 +1736,8 @@ bool meshGenerator(GFace *gf, int RECUR_ITER, bool repairSelfIntersecting1dMesh,
bowyerWatsonParallelograms(gf);
}
else if(gf->getMeshingAlgo() == ALGO_2D_PACK_PRLGRMS_CSTR) {
- bowyerWatsonParallelogramsConstrained(gf, gf->constr_vertices);
+ Msg::Error("ALGO_2D_PACK_PRLGRMS_CSTR deprecated");
+ // bowyerWatsonParallelogramsConstrained(gf, gf->constr_vertices);
}
else if(gf->getMeshingAlgo() == ALGO_2D_DELAUNAY ||
gf->getMeshingAlgo() == ALGO_2D_AUTO) {
@@ -1733,6 +1747,7 @@ bool meshGenerator(GFace *gf, int RECUR_ITER, bool repairSelfIntersecting1dMesh,
bowyerWatson(gf, 15000);
meshGFaceBamg(gf);
}
+
if(!infty ||
!(CTX::instance()->mesh.recombineAll || gf->meshAttributes.recombine))
laplaceSmoothing(gf, CTX::instance()->mesh.nbSmoothing, infty);
@@ -1763,7 +1778,8 @@ bool meshGenerator(GFace *gf, int RECUR_ITER, bool repairSelfIntersecting1dMesh,
!onlyInitialMesh && CTX::instance()->mesh.algoRecombine <= 1) {
bool blossom = (CTX::instance()->mesh.algoRecombine == 1);
int topo = CTX::instance()->mesh.recombineOptimizeTopology;
- recombineIntoQuads(gf, blossom, topo, true, 0.1);
+ bool nodeRepositioning = false;
+ recombineIntoQuads(gf, blossom, topo, nodeRepositioning, 0.1);
}
computeElementShapes(gf, gf->meshStatistics.worst_element_shape,
@@ -2071,6 +2087,12 @@ static bool meshGeneratorPeriodic(GFace *gf, int RECUR_ITER,
}
if(CTX::instance()->debugSurface > 0) debug = true;
+ // TEST !!!
+#ifndef OLD_CODE_DELAUNAY
+ // PolyMesh * pm = GFaceInitialMesh (gf->tag(), 1);
+#endif
+ // TEST !!!
+
std::map<BDS_Point *, MVertex *, PointLessThan> recoverMap;
std::multimap<MVertex *, BDS_Point *> recoverMultiMapInv;
@@ -2753,7 +2775,8 @@ static bool meshGeneratorPeriodic(GFace *gf, int RECUR_ITER,
else if(gf->getMeshingAlgo() == ALGO_2D_PACK_PRLGRMS ||
gf->getMeshingAlgo() == ALGO_2D_PACK_PRLGRMS_CSTR) {
infty = true;
- buildBackgroundMesh(gf, false, &equivalence, ¶metricCoordinates);
+ /* New version of PACK / QUADQS use a different background mesh */
+ // buildBackgroundMesh(gf, false, &equivalence, ¶metricCoordinates);
}
bool onlyInitialMesh = (gf->getMeshingAlgo() == ALGO_2D_INITIAL_ONLY);
@@ -2779,9 +2802,11 @@ static bool meshGeneratorPeriodic(GFace *gf, int RECUR_ITER,
bowyerWatsonFrontalLayers(gf, true, &equivalence, ¶metricCoordinates);
else if(gf->getMeshingAlgo() == ALGO_2D_PACK_PRLGRMS)
bowyerWatsonParallelograms(gf, &equivalence, ¶metricCoordinates);
- else if(gf->getMeshingAlgo() == ALGO_2D_PACK_PRLGRMS_CSTR)
- bowyerWatsonParallelogramsConstrained(
- gf, gf->constr_vertices, &equivalence, ¶metricCoordinates);
+ else if(gf->getMeshingAlgo() == ALGO_2D_PACK_PRLGRMS_CSTR) {
+ Msg::Error("ALGO_2D_PACK_PRLGRMS_CSTR deprecated");
+ // bowyerWatsonParallelogramsConstrained(
+ // gf, gf->constr_vertices, &equivalence, ¶metricCoordinates);
+ }
else if(gf->getMeshingAlgo() == ALGO_2D_DELAUNAY ||
gf->getMeshingAlgo() == ALGO_2D_AUTO)
bowyerWatson(gf, 1000000000, &equivalence, ¶metricCoordinates);
@@ -2807,7 +2832,12 @@ static bool meshGeneratorPeriodic(GFace *gf, int RECUR_ITER,
CTX::instance()->mesh.algoRecombine <= 1) {
bool blossom = (CTX::instance()->mesh.algoRecombine == 1);
int topo = CTX::instance()->mesh.recombineOptimizeTopology;
- recombineIntoQuads(gf, blossom, topo, false, 0.1); // no node repositioning
+ bool nodeRepositioning = true;
+ if(CTX::instance()->mesh.algo2d == ALGO_2D_PACK_PRLGRMS ||
+ CTX::instance()->mesh.algo2d == ALGO_2D_QUAD_QUASI_STRUCT) {
+ nodeRepositioning = false;
+ }
+ recombineIntoQuads(gf, blossom, topo, nodeRepositioning, 0.1);
}
computeElementShapes(gf, gf->meshStatistics.worst_element_shape,
@@ -2899,6 +2929,14 @@ void meshGFace::operator()(GFace *gf, bool print)
gf->getMeshMaster()->tag());
}
+ /* The ALGO_2D_QUAD_QUASI_STRUCT is using ALGO_2D_PACK_PRLGRMS
+ * to generate a initial quad-dominant mesh */
+ bool quadqs = false;
+ if(CTX::instance()->mesh.algo2d == ALGO_2D_QUAD_QUASI_STRUCT) {
+ quadqs = true;
+ CTX::instance()->mesh.algo2d = ALGO_2D_PACK_PRLGRMS;
+ }
+
const char *algo = "Unknown";
switch(gf->getMeshingAlgo()) {
@@ -2970,6 +3008,8 @@ void meshGFace::operator()(GFace *gf, bool print)
(*this)(gf, print);
gf->unsetMeshingAlgo();
}
+
+ if(quadqs) CTX::instance()->mesh.algo2d = ALGO_2D_QUAD_QUASI_STRUCT;
}
static bool getGFaceNormalFromVert(GFace *gf, MElement *el, SVector3 &nf)
diff --git a/Mesh/meshGFace.h b/Mesh/meshGFace.h
index 19817ef9604bb30a5e83bde5b0cc04642f2399bf..3d8bf65049e00c6a9d70ee289dec73a360359715 100644
--- a/Mesh/meshGFace.h
+++ b/Mesh/meshGFace.h
@@ -56,8 +56,27 @@ bool meshGenerator(GFace *gf, int RECUR_ITER, bool repairSelfIntersecting1dMesh,
bool pointInsideParametricDomain(std::vector<SPoint2> &bnd, SPoint2 &p,
SPoint2 &out, int &N);
+/**
+ * @brief Automatically set transfinite constraints on curves and faces
+ * in the candidate_faces if possible. Curves on opposide sides
+ * of rectangular faces are constrained to reiceive the same number
+ * of points.
+ *
+ * @param candidate_faces The faces which are candidate for transfinite
+ * @param cornerAngle Threshold on the angle (viewed from face) at corners
+ * @param setRecombine If true, quads will be built instead of triangles when
+ * meshing
+ * @param maxDiffRel Reject transfinite constraints if the relative difference
+ * on the initial number of lines (from sizing constraints) on opposite sides is
+ * larger than the maxDiffRel
+ * @param ignoreEmbedded If true, ignore embedded edges and vertices in faces
+ *
+ * @return true if success
+ */
bool MeshSetTransfiniteFacesAutomatic(std::set<GFace *> &candidate_faces,
double cornerAngle = 2.35,
- bool setRecombine = true);
+ bool setRecombine = true,
+ double maxDiffRel = 1.,
+ bool ignoreEmbedded = false);
#endif
diff --git a/Mesh/meshGFaceDelaunayInsertion.cpp b/Mesh/meshGFaceDelaunayInsertion.cpp
index 407f0bf99bc7fa15047db059f984d0be8ad5c552..4064d81fc7f0baa97e2e1b02f1d4237697a59e3e 100644
--- a/Mesh/meshGFaceDelaunayInsertion.cpp
+++ b/Mesh/meshGFaceDelaunayInsertion.cpp
@@ -25,6 +25,7 @@
#include "intersectCurveSurface.h"
#include "HilbertCurve.h"
#include "fullMatrix.h"
+#include "gmsh.h" // for debug
#if defined(HAVE_DOMHEX)
#include "pointInsertion.h"
@@ -1436,6 +1437,7 @@ void buildBackgroundMesh(GFace *gf, bool crossFieldClosestPoint,
#if defined(HAVE_DOMHEX)
if(!old_algo_hexa()) return;
#endif
+ Msg::Debug("build background mesh (Bowyer Watson, fixed size) ...");
quadsToTriangles(gf, 100000);
@@ -1605,10 +1607,21 @@ void bowyerWatsonParallelograms(
std::vector<MVertex *> packed;
std::vector<SMetric3> metrics;
+ Msg::Debug("- Face %i: bowyerWatsonParallelograms ...", gf->tag());
+ if(!gf->haveParametrization()) {
+ Msg::Error(
+ "- Face %i: no CAD parametrization available, cannot mesh with algo PACK",
+ gf->tag());
+ return;
+ }
+
#if defined(HAVE_DOMHEX)
- if(old_algo_hexa())
+ if(old_algo_hexa()) {
+ Msg::Debug("bowyerWatsonParallelograms: call packingOfParallelograms()");
packingOfParallelograms(gf, packed, metrics);
+ }
else {
+ Msg::Debug("bowyerWatsonParallelograms: call Filler2D::pointInsertion2D()");
Filler2D f;
f.pointInsertion2D(gf, packed, metrics);
}
@@ -1616,6 +1629,8 @@ void bowyerWatsonParallelograms(
Msg::Error("Packing of parallelograms algorithm requires DOMHEX");
#endif
+ Msg::Info("%lu Nodes created --> now staring insertion", packed.size());
+
if(!buildMeshGenerationDataStructures(gf, AllTris, DATA)) {
Msg::Error("Invalid meshing data structure");
return;
@@ -1623,6 +1638,9 @@ void bowyerWatsonParallelograms(
// std::sort(packed.begin(), packed.end(), MVertexPtrLessThanLexicographic());
SortHilbert(packed);
+ Msg::Debug("bowyerWatsonParallelograms: %li candidate points to insert in "
+ "the triangulation",
+ packed.size());
MTri3 *oneNewTriangle = nullptr;
for(std::size_t i = 0; i < packed.size();) {
@@ -1663,6 +1681,10 @@ void bowyerWatsonParallelograms(
transferDataStructure(gf, AllTris, DATA);
backgroundMesh::unset();
+ Msg::Debug(
+ "bowyerWatsonParallelograms: %li candidate points -> %li inserted vertices",
+ packed.size(), gf->mesh_vertices.size());
+
splitElementsInBoundaryLayerIfNeeded(gf);
}
@@ -1671,13 +1693,17 @@ void bowyerWatsonParallelogramsConstrained(
std::map<MVertex *, MVertex *> *equivalence,
std::map<MVertex *, SPoint2> *parametricCoordinates)
{
+ Msg::Error("bowyerWatsonParallelogramsConstrained deprecated");
+ return;
+
std::set<MTri3 *, compareTri3Ptr> AllTris;
bidimMeshData DATA(equivalence, parametricCoordinates);
std::vector<MVertex *> packed;
std::vector<SMetric3> metrics;
#if defined(HAVE_DOMHEX)
- packingOfParallelogramsConstrained(gf, constr_vertices, packed, metrics);
+ // packingOfParallelogramsConstrained no longer exists
+ // packingOfParallelogramsConstrained(gf, constr_vertices, packed, metrics);
#else
Msg::Error("Packing of parallelograms algorithm requires DOMHEX");
#endif
diff --git a/Mesh/meshGFaceOptimize.cpp b/Mesh/meshGFaceOptimize.cpp
index 5d0611f9b00c3902b4e969cb9a4819ac172ad7ee..e80a98f1f16914e627b7be6f027c810e71580e83 100644
--- a/Mesh/meshGFaceOptimize.cpp
+++ b/Mesh/meshGFaceOptimize.cpp
@@ -34,6 +34,63 @@ extern "C" int perfect_match(int ncount, CCdatagroup *dat, int ecount,
int partialprice, double *totalzeit);
#endif
+RecombineTriangle::RecombineTriangle(const MEdge &me, MElement *_t1,
+ MElement *_t2, Field *cross_field)
+ : t1(_t1), t2(_t2)
+{
+ n1 = me.getVertex(0);
+ n2 = me.getVertex(1);
+ n3 = 0;
+ n4 = 0;
+
+ if(t1->getVertex(0) != n1 && t1->getVertex(0) != n2)
+ n3 = t1->getVertex(0);
+ else if(t1->getVertex(1) != n1 && t1->getVertex(1) != n2)
+ n3 = t1->getVertex(1);
+ else if(t1->getVertex(2) != n1 && t1->getVertex(2) != n2)
+ n3 = t1->getVertex(2);
+
+ if(t2->getVertex(0) != n1 && t2->getVertex(0) != n2)
+ n4 = t2->getVertex(0);
+ else if(t2->getVertex(1) != n1 && t2->getVertex(1) != n2)
+ n4 = t2->getVertex(1);
+ else if(t2->getVertex(2) != n1 && t2->getVertex(2) != n2)
+ n4 = t2->getVertex(2);
+
+ MQuadrangle q(n1, n3, n2, n4);
+ angle = q.etaShapeMeasure();
+
+ double const a1 = 180 * angle3Vertices(n1, n4, n2) / M_PI;
+ double const a2 = 180 * angle3Vertices(n4, n2, n3) / M_PI;
+ double const a3 = 180 * angle3Vertices(n2, n3, n1) / M_PI;
+ double const a4 = 180 * angle3Vertices(n3, n1, n4) / M_PI;
+ quality = std::abs(90. - a1);
+ quality = std::max(std::abs(90. - a2), quality);
+ quality = std::max(std::abs(90. - a3), quality);
+ quality = std::max(std::abs(90. - a4), quality);
+
+ if(cross_field) {
+ SVector3 t1;
+ SVector3 t2(me.getVertex(1)->x() - me.getVertex(0)->x(),
+ me.getVertex(1)->y() - me.getVertex(0)->y(),
+ me.getVertex(1)->z() - me.getVertex(0)->z());
+ (*cross_field)(0.5 * (me.getVertex(0)->x() + me.getVertex(1)->x()),
+ 0.5 * (me.getVertex(0)->y() + me.getVertex(1)->y()),
+ 0.5 * (me.getVertex(0)->z() + me.getVertex(1)->z()), t1,
+ NULL);
+ // double L1 = t1.norm();
+ t1.normalize();
+ // double L2 = t2.norm();
+ t2.normalize();
+ SVector3 n = crossprod(t1, t2);
+ double ErrDir = std::min(fabs(dot(t1, t2)), n.norm());
+ // double ErrL = fabs(L1-L2)/(L1);
+ // printf("quality %g err %g L %g %g\n",quality,ErrL,L1,L2);
+ quality /= ErrDir;
+ if(n1->onWhat()->dim() < 2 || n2->onWhat()->dim() < 2) quality /= 10;
+ }
+}
+
edge_angle::edge_angle(MVertex *_v1, MVertex *_v2, MElement *t1, MElement *t2)
: v1(_v1), v2(_v2)
{
@@ -921,6 +978,9 @@ void laplaceSmoothing(GFace *gf, int niter, bool infinity_norm)
}
if(!niter) return;
+
+ Msg::Debug("laplacian smoothing ...");
+
std::set<MVertex *> vs;
getAllBoundaryLayerVertices(gf, vs);
v2t_cont adj;
@@ -995,6 +1055,17 @@ static void _recombineIntoQuads(GFace *gf, bool blossom, bool cubicGraph = 1)
e2t_cont adj;
buildEdgeToElement(gf->triangles, adj);
+ FieldManager *fields = gf->model()->getFields();
+ Field *cross_field = NULL;
+ SVector3 t1;
+ // double L; /* unused ? */
+ if(fields->getBackgroundField() > 0) {
+ cross_field = fields->get(fields->getBackgroundField());
+ if(cross_field->numComponents() != 3) { // we hae a true scaled cross fiel
+ cross_field = NULL;
+ }
+ }
+
std::vector<RecombineTriangle> pairs;
std::map<MVertex *, std::pair<MElement *, MElement *> > makeGraphPeriodic;
@@ -1006,8 +1077,8 @@ static void _recombineIntoQuads(GFace *gf, bool blossom, bool cubicGraph = 1)
it->first.getVertex(0)) ||
!std::binary_search(emb_edgeverts.begin(), emb_edgeverts.end(),
it->first.getVertex(1)))) {
- pairs.push_back(
- RecombineTriangle(it->first, it->second.first, it->second.second));
+ pairs.push_back(RecombineTriangle(it->first, it->second.first,
+ it->second.second, cross_field));
}
else if(!it->second.second && it->second.first->getNumVertices() == 3) {
for(int i = 0; i < 2; i++) {
@@ -1340,8 +1411,8 @@ void quadsToTriangles(GFace *gf, double minqual)
// std::map<MElement*,MElement*> _toFirst;
std::map<MElement *, std::vector<MElement *> > newElemColumns;
- for(auto it = _columns->_elemColumns.begin(); it != _columns->_elemColumns.end();
- it++) {
+ for(auto it = _columns->_elemColumns.begin();
+ it != _columns->_elemColumns.end(); it++) {
MElement *firstEl = it->first;
auto it2 = change.find(firstEl);
if(it2 != change.end()) firstEl = it2->second.first;
diff --git a/Mesh/meshGFaceOptimize.h b/Mesh/meshGFaceOptimize.h
index 90e1922e5802dd761d78baf145b103c43e151f8b..d887b95ddce41c58d5135fbc29f1c2ae4e3cdd31 100644
--- a/Mesh/meshGFaceOptimize.h
+++ b/Mesh/meshGFaceOptimize.h
@@ -17,6 +17,7 @@
class GFace;
class GVertex;
class MVertex;
+class Field;
struct edge_angle {
MVertex *v1, *v2;
@@ -110,40 +111,7 @@ struct RecombineTriangle {
double quality;
MVertex *n1, *n2, *n3, *n4;
- RecombineTriangle(const MEdge &me, MElement *_t1, MElement *_t2)
- : t1(_t1), t2(_t2)
- {
- n1 = me.getVertex(0);
- n2 = me.getVertex(1);
- n3 = nullptr;
- n4 = nullptr;
-
- if(t1->getVertex(0) != n1 && t1->getVertex(0) != n2)
- n3 = t1->getVertex(0);
- else if(t1->getVertex(1) != n1 && t1->getVertex(1) != n2)
- n3 = t1->getVertex(1);
- else if(t1->getVertex(2) != n1 && t1->getVertex(2) != n2)
- n3 = t1->getVertex(2);
-
- if(t2->getVertex(0) != n1 && t2->getVertex(0) != n2)
- n4 = t2->getVertex(0);
- else if(t2->getVertex(1) != n1 && t2->getVertex(1) != n2)
- n4 = t2->getVertex(1);
- else if(t2->getVertex(2) != n1 && t2->getVertex(2) != n2)
- n4 = t2->getVertex(2);
-
- MQuadrangle q(n1, n3, n2, n4);
- angle = q.etaShapeMeasure();
-
- double const a1 = 180 * angle3Vertices(n1, n4, n2) / M_PI;
- double const a2 = 180 * angle3Vertices(n4, n2, n3) / M_PI;
- double const a3 = 180 * angle3Vertices(n2, n3, n1) / M_PI;
- double const a4 = 180 * angle3Vertices(n3, n1, n4) / M_PI;
- quality = std::abs(90. - a1);
- quality = std::max(std::abs(90. - a2), quality);
- quality = std::max(std::abs(90. - a3), quality);
- quality = std::max(std::abs(90. - a4), quality);
- }
+ RecombineTriangle(const MEdge &me, MElement *_t1, MElement *_t2, Field *f);
bool operator<(const RecombineTriangle &other) const
{
diff --git a/Mesh/meshGFaceTransfinite.cpp b/Mesh/meshGFaceTransfinite.cpp
index 0b1cc8661a35c99945b3353f17f45a81bf867b31..74cdeb379fdaee3dc4fcb11154d358dd0f88b811 100644
--- a/Mesh/meshGFaceTransfinite.cpp
+++ b/Mesh/meshGFaceTransfinite.cpp
@@ -582,7 +582,8 @@ bool faceIsValidQuad(GFace *gf, double angle_threshold_rad)
std::vector<std::array<int, 2> > vpairs;
for(GEdge *ge : gf->edges()) {
- vpairs.push_back({ge->getBeginVertex()->tag(), ge->getEndVertex()->tag()});
+ vpairs.push_back(
+ {{ge->getBeginVertex()->tag(), ge->getEndVertex()->tag()}});
}
std::vector<int> loop;
bool ok = id_loop_from_closed_pairs(vpairs, loop);
@@ -663,12 +664,17 @@ GEdge *quad_face_opposite_edge(GFace *face, GEdge *edge)
}
void build_chords(const std::set<GFace *> &faces,
- std::vector<std::set<GEdge *> > &chords)
+ std::vector<std::set<GEdge *> > &chords, double maxDiffRel,
+ bool ignoreEmbedded = false)
{
/* Connectivity */
std::map<GEdge *, std::vector<GFace *> > edge2faces;
- for(GFace *gf : faces)
+ for(GFace *gf : faces) {
+ if(!ignoreEmbedded &&
+ (gf->embeddedEdges().size() > 0 || gf->embeddedVertices().size() > 0))
+ continue;
for(GEdge *ge : gf->edges()) { edge2faces[ge].push_back(gf); }
+ }
Msg::Debug("build chords: %li faces, %li edges", faces.size(),
edge2faces.size());
@@ -687,10 +693,15 @@ void build_chords(const std::set<GFace *> &faces,
while(Q.size() > 0) {
GEdge *ge = Q.front();
Q.pop();
+ int n = meshGEdgeTargetNumberOfPoints(ge);
chord.insert(ge);
for(GFace *gf : edge2faces[ge]) {
GEdge *ge2 = quad_face_opposite_edge(gf, ge);
if(ge2 && done.find(ge2) == done.end()) {
+ int n2 = meshGEdgeTargetNumberOfPoints(ge2);
+ if(double(std::abs(n2 - n)) / double(std::max(n, n2)) > maxDiffRel) {
+ continue;
+ }
Q.push(ge2);
done[ge2] = true;
}
@@ -702,19 +713,24 @@ void build_chords(const std::set<GFace *> &faces,
}
bool MeshSetTransfiniteFacesAutomatic(std::set<GFace *> &candidate_faces,
- double cornerAngle, bool setRecombine)
+ double cornerAngle, bool setRecombine,
+ double maxDiffRel, bool ignoreEmbedded)
{
/* Filter with topology and geometry */
std::set<GFace *> faces;
- for(GFace *gf : candidate_faces)
+ for(GFace *gf : candidate_faces) {
+ if(!ignoreEmbedded &&
+ (gf->embeddedEdges().size() > 0 || gf->embeddedVertices().size() > 0))
+ continue;
if(faceIsValidQuad(gf, cornerAngle)) { faces.insert(gf); }
+ }
/* Build the topological chords in quad structure */
Msg::Debug(
"transfinite automatic: building chords from %li quadrangular faces ...",
faces.size());
std::vector<std::set<GEdge *> > chords;
- build_chords(faces, chords);
+ build_chords(faces, chords, maxDiffRel);
Msg::Debug("... found %li chords", chords.size());
/* Determine the number of points, set the transfinite curves */
@@ -739,6 +755,9 @@ bool MeshSetTransfiniteFacesAutomatic(std::set<GFace *> &candidate_faces,
ge->meshAttributes.nbPointsTransfinite = N;
ge->meshAttributes.typeTransfinite = 1; /* Progression */
ge->meshAttributes.coeffTransfinite = 1.;
+ if(CTX::instance()->mesh.algo2d == ALGO_2D_QUAD_QUASI_STRUCT) {
+ ge->meshAttributes.typeTransfinite = 4; /* Use size map */
+ }
ne += 1;
}
}
@@ -747,10 +766,17 @@ bool MeshSetTransfiniteFacesAutomatic(std::set<GFace *> &candidate_faces,
std::size_t nf = 0;
for(GFace *gf : faces) {
bool transfinite = true;
+ std::vector<int> nPoints(4, 0);
+ std::size_t count = 0;
for(GEdge *ge : gf->edges()) {
- if(ge->meshAttributes.method != MESH_TRANSFINITE) transfinite = false;
+ if(ge->meshAttributes.method != MESH_TRANSFINITE) {
+ transfinite = false;
+ break;
+ }
+ nPoints[count] = ge->meshAttributes.nbPointsTransfinite;
+ count += 1;
}
- if(transfinite) {
+ if(transfinite && nPoints[0] == nPoints[2] && nPoints[1] == nPoints[3]) {
nf += 1;
gf->meshAttributes.method = MESH_TRANSFINITE;
gf->meshAttributes.transfiniteArrangement = 1; /* Right */
diff --git a/Mesh/meshOctreeLibOL.cpp b/Mesh/meshOctreeLibOL.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..deb72c865a405f736ec89614a6df7b1f642d0f83
--- /dev/null
+++ b/Mesh/meshOctreeLibOL.cpp
@@ -0,0 +1,614 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#include "meshOctreeLibOL.h"
+#include "GFace.h"
+#include "discreteFace.h"
+#include "MVertex.h"
+#include "MTriangle.h"
+
+extern "C" {
+#include "libol1.h"
+}
+
+#include "robin_hood.h"
+
+// Debug vizu
+// #include "geolog.h"
+
+namespace SurfaceProjectorUtils {
+ /* Copy useful functions from contrib/QuadMeshingTools/arrayGeometry.h
+ * because this functions should work without QUADMESHINGTOOLS module */
+ using vec2 = std::array<double, 2>;
+ using vec3 = std::array<double, 3>;
+ inline vec3 operator-(const vec3 &a, const vec3 &b)
+ {
+ return {{a[0] - b[0], a[1] - b[1], a[2] - b[2]}};
+ }
+ inline vec3 operator+(const vec3 &a, const vec3 &b)
+ {
+ return {{a[0] + b[0], a[1] + b[1], a[2] + b[2]}};
+ }
+ inline vec3 operator*(const double &a, const vec3 &b)
+ {
+ return {{a * b[0], a * b[1], a * b[2]}};
+ }
+ inline vec3 operator*(const vec3 &a, const double &b)
+ {
+ return {{a[0] * b, a[1] * b, a[2] * b}};
+ }
+ inline double dot(const vec3 &a, const vec3 &b)
+ {
+ return a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
+ }
+ inline double length2(const vec3 &a) { return dot(a, a); }
+ inline double maxAbs(double x, double y, double z)
+ {
+ return std::max(std::abs(x), std::max(std::abs(y), std::abs(z)));
+ }
+ inline double maxAbs(const vec3 &a) { return maxAbs(a[0], a[1], a[2]); }
+ inline void normalizeFast(vec3 &a)
+ {
+ a = 1. / std::sqrt(length2(a)) * a;
+ } /* no check, not safe, not accurate */
+ inline void normalize(vec3 &a)
+ {
+ double amp = maxAbs(a);
+ if(amp == 0.) { return; }
+ a = amp * a;
+ normalizeFast(a);
+ }
+
+ inline double project_point_segment_l2(const vec3 &query, const vec3 &a,
+ const vec3 &b, vec3 &proj,
+ double &lambda)
+ {
+ double l2 = length2(a - b);
+ double t = dot(query - a, b - a);
+ if(t <= 0. || l2 == 0.) {
+ proj = a;
+ lambda = 1.;
+ return length2(query - a);
+ }
+ else if(t > l2) {
+ proj = b;
+ lambda = 0.;
+ return length2(query - b);
+ }
+ lambda = 1. - t / l2;
+ proj = lambda * a + (1. - lambda) * b;
+ return length2(query - proj);
+ }
+
+ /* This function is adapted from a equivalent function in the Geogram library,
+ * which is based on https://www.geometrictools.com/Source/Distance3D.html */
+ inline double project_point_triangle_l2(const vec3 &query, const vec3 &p1,
+ const vec3 &p2, const vec3 &p3,
+ vec3 &proj, double lambda[3])
+ {
+ vec3 diff = p1 - query;
+ vec3 edge0 = p2 - p1;
+ vec3 edge1 = p3 - p1;
+ double a00 = length2(edge0);
+ double a01 = dot(edge0, edge1);
+ double a11 = length2(edge1);
+ double b0 = dot(diff, edge0);
+ double b1 = dot(diff, edge1);
+ double c = length2(diff);
+ double det = ::fabs(a00 * a11 - a01 * a01);
+ double s = a01 * b1 - a11 * b0;
+ double t = a01 * b0 - a00 * b1;
+ double sqrDistance;
+
+ // If the triangle is degenerate
+ if(det < 1e-30) {
+ double cur_l1;
+ vec3 cur_closest;
+ double result;
+ double cur_dist =
+ project_point_segment_l2(query, p1, p2, cur_closest, cur_l1);
+ result = cur_dist;
+ proj = cur_closest;
+ lambda[0] = cur_l1;
+ lambda[1] = 1. - cur_l1;
+ lambda[2] = 0.0;
+ cur_dist = project_point_segment_l2(query, p1, p3, cur_closest, cur_l1);
+ if(cur_dist < result) {
+ result = cur_dist;
+ proj = cur_closest;
+ lambda[0] = cur_l1;
+ lambda[2] = 1. - cur_l1;
+ lambda[1] = 0.0;
+ }
+ cur_dist = project_point_segment_l2(query, p2, p3, cur_closest, cur_l1);
+ if(cur_dist < result) {
+ result = cur_dist;
+ proj = cur_closest;
+ lambda[1] = cur_l1;
+ lambda[2] = 1. - cur_l1;
+ lambda[0] = 0.0;
+ }
+ return result;
+ }
+
+ if(s + t <= det) {
+ if(s < 0.0) {
+ if(t < 0.0) { // region 4
+ if(b0 < 0.0) {
+ t = 0.0;
+ if(-b0 >= a00) {
+ s = 1.0;
+ sqrDistance = a00 + 2.0 * b0 + c;
+ }
+ else {
+ s = -b0 / a00;
+ sqrDistance = b0 * s + c;
+ }
+ }
+ else {
+ s = 0.0;
+ if(b1 >= 0.0) {
+ t = 0.0;
+ sqrDistance = c;
+ }
+ else if(-b1 >= a11) {
+ t = 1.0;
+ sqrDistance = a11 + 2.0 * b1 + c;
+ }
+ else {
+ t = -b1 / a11;
+ sqrDistance = b1 * t + c;
+ }
+ }
+ }
+ else { // region 3
+ s = 0.0;
+ if(b1 >= 0.0) {
+ t = 0.0;
+ sqrDistance = c;
+ }
+ else if(-b1 >= a11) {
+ t = 1.0;
+ sqrDistance = a11 + 2.0 * b1 + c;
+ }
+ else {
+ t = -b1 / a11;
+ sqrDistance = b1 * t + c;
+ }
+ }
+ }
+ else if(t < 0.0) { // region 5
+ t = 0.0;
+ if(b0 >= 0.0) {
+ s = 0.0;
+ sqrDistance = c;
+ }
+ else if(-b0 >= a00) {
+ s = 1.0;
+ sqrDistance = a00 + 2.0 * b0 + c;
+ }
+ else {
+ s = -b0 / a00;
+ sqrDistance = b0 * s + c;
+ }
+ }
+ else { // region 0
+ // minimum at interior query
+ double invDet = double(1.0) / det;
+ s *= invDet;
+ t *= invDet;
+ sqrDistance = s * (a00 * s + a01 * t + 2.0 * b0) +
+ t * (a01 * s + a11 * t + 2.0 * b1) + c;
+ }
+ }
+ else {
+ double tmp0, tmp1, numer, denom;
+
+ if(s < 0.0) { // region 2
+ tmp0 = a01 + b0;
+ tmp1 = a11 + b1;
+ if(tmp1 > tmp0) {
+ numer = tmp1 - tmp0;
+ denom = a00 - 2.0 * a01 + a11;
+ if(numer >= denom) {
+ s = 1.0;
+ t = 0.0;
+ sqrDistance = a00 + 2.0 * b0 + c;
+ }
+ else {
+ s = numer / denom;
+ t = 1.0 - s;
+ sqrDistance = s * (a00 * s + a01 * t + 2.0 * b0) +
+ t * (a01 * s + a11 * t + 2.0 * b1) + c;
+ }
+ }
+ else {
+ s = 0.0;
+ if(tmp1 <= 0.0) {
+ t = 1.0;
+ sqrDistance = a11 + 2.0 * b1 + c;
+ }
+ else if(b1 >= 0.0) {
+ t = 0.0;
+ sqrDistance = c;
+ }
+ else {
+ t = -b1 / a11;
+ sqrDistance = b1 * t + c;
+ }
+ }
+ }
+ else if(t < 0.0) { // region 6
+ tmp0 = a01 + b1;
+ tmp1 = a00 + b0;
+ if(tmp1 > tmp0) {
+ numer = tmp1 - tmp0;
+ denom = a00 - 2.0 * a01 + a11;
+ if(numer >= denom) {
+ t = 1.0;
+ s = 0.0;
+ sqrDistance = a11 + 2.0 * b1 + c;
+ }
+ else {
+ t = numer / denom;
+ s = 1.0 - t;
+ sqrDistance = s * (a00 * s + a01 * t + 2.0 * b0) +
+ t * (a01 * s + a11 * t + 2.0 * b1) + c;
+ }
+ }
+ else {
+ t = 0.0;
+ if(tmp1 <= 0.0) {
+ s = 1.0;
+ sqrDistance = a00 + 2.0 * b0 + c;
+ }
+ else if(b0 >= 0.0) {
+ s = 0.0;
+ sqrDistance = c;
+ }
+ else {
+ s = -b0 / a00;
+ sqrDistance = b0 * s + c;
+ }
+ }
+ }
+ else { // region 1
+ numer = a11 + b1 - a01 - b0;
+ if(numer <= 0.0) {
+ s = 0.0;
+ t = 1.0;
+ sqrDistance = a11 + 2.0 * b1 + c;
+ }
+ else {
+ denom = a00 - 2.0 * a01 + a11;
+ if(numer >= denom) {
+ s = 1.0;
+ t = 0.0;
+ sqrDistance = a00 + 2.0 * b0 + c;
+ }
+ else {
+ s = numer / denom;
+ t = 1.0 - s;
+ sqrDistance = s * (a00 * s + a01 * t + 2.0 * b0) +
+ t * (a01 * s + a11 * t + 2.0 * b1) + c;
+ }
+ }
+ }
+ }
+
+ // Account for numerical round-off error.
+ if(sqrDistance < 0.0) { sqrDistance = 0.0; }
+
+ proj = p1 + s * edge0 + t * edge1;
+ lambda[0] = 1.0 - s - t;
+ lambda[1] = s;
+ lambda[2] = t;
+ return sqrDistance;
+ }
+} // namespace SurfaceProjectorUtils
+
+using namespace SurfaceProjectorUtils;
+
+SurfaceProjector::SurfaceProjector(GFace *gf_) : gf(NULL), OctIdx(0)
+{
+ std::vector<MTriangle *> triangles = gf->triangles;
+ if(gf->quadrangles.size() > 0) {
+ Msg::Error("SurfaceProjector: quads not implemented yet, should create "
+ "fake MTriangle* just for initialize()");
+ abort();
+ }
+ bool ok = initialize(gf_, triangles);
+ if(!ok) { Msg::Error("failed to initialize SurfaceProjector"); }
+}
+
+void SurfaceProjector::clear()
+{
+ if(OctIdx != 0) {
+ Msg::Debug("free libOL octree (OctIdx: %li)", OctIdx);
+ LolFreeOctree(OctIdx);
+ OctIdx = 0;
+ }
+ points.clear();
+ triangles.clear();
+ triangle_uvs.clear();
+}
+
+SurfaceProjector::~SurfaceProjector() { clear(); }
+
+bool SurfaceProjector::setAnalyticalProjection(GFace *gf)
+{
+ if(gf->geomType() == GFace::GeomType::Sphere) {
+ double radius = 0.;
+ SPoint3 center;
+ if(gf->isSphere(radius, center)) {
+ analyticalShape = GFace::GeomType::Sphere;
+ useAnalyticalFormula = true;
+ analyticalParameters[0] = center.x();
+ analyticalParameters[1] = center.y();
+ analyticalParameters[2] = center.z();
+ analyticalParameters[3] = radius;
+ return true;
+ }
+ }
+
+ Msg::Error(
+ "Surface projecor: analytical formula for given shape not supported");
+ return false;
+}
+
+bool SurfaceProjector::initialize(GFace *gf_,
+ const std::vector<MTriangle *> &gfTriangles)
+{
+ clear();
+ gf = gf_;
+ bool paramAvailable = gf->haveParametrization();
+
+ const int BasIdx = 1; /* indices start at one in libOL */
+
+ /* If periodic parametrization, get periods */
+ bool disableParamPer = false;
+ if(paramAvailable && (gf->periodic(0) || gf->periodic(1))) {
+ disableParamPer = true;
+ }
+
+ /* Collect coordinates and triangle-continuous uv param */
+ robin_hood::unordered_map<MVertex *, int32_t> old2new;
+ int32_t count = 0;
+ triangles.reserve(gfTriangles.size());
+ points.reserve(gfTriangles.size());
+ if(paramAvailable) {
+ triangle_uvs.reserve(gfTriangles.size());
+ if(disableParamPer) triangle_no_uv_eval.reserve(gfTriangles.size());
+ }
+ for(MTriangle *f : gfTriangles) {
+ std::array<int32_t, 3> tri_pts;
+ std::array<vec2, 3> tri_uvs;
+ bool check_periodicity = false;
+ bool no_eval = false;
+ for(size_t lv = 0; lv < f->getNumVertices(); ++lv) {
+ MVertex *v = f->getVertex(lv);
+ auto it = old2new.find(v);
+ if(it == old2new.end()) {
+ old2new[v] = count;
+ tri_pts[lv] = count + BasIdx;
+ points.push_back(v->point());
+ count += 1;
+ }
+ else {
+ tri_pts[lv] = it->second + BasIdx;
+ }
+
+ if(paramAvailable) { /* Get the uv in GFace */
+ bool onGf = (dynamic_cast<GFace *>(v->onWhat()) == gf);
+ if(onGf) {
+ v->getParameter(0, tri_uvs[lv][0]);
+ v->getParameter(1, tri_uvs[lv][1]);
+ }
+ else {
+ check_periodicity = true;
+ }
+ }
+ }
+
+ if(check_periodicity) {
+ bool found = false;
+ for(size_t lv = 0; lv < 3; ++lv) {
+ MVertex *v1 = f->getVertex(lv);
+ bool onGf = (dynamic_cast<GFace *>(v1->onWhat()) == gf);
+ if(onGf) { /* If neither of the 3 are on surface, takes random ... */
+ MVertex *v2 = f->getVertex((lv + 1) % 3);
+ MVertex *v3 = f->getVertex((lv + 2) % 3);
+ SPoint2 param1;
+ SPoint2 param2;
+ SPoint2 param3;
+ reparamMeshEdgeOnFace(v1, v2, gf, param1, param2);
+ reparamMeshEdgeOnFace(v1, v3, gf, param1, param3);
+ tri_uvs[(lv + 0) % 3] = {{param1.x(), param1.y()}};
+ tri_uvs[(lv + 1) % 3] = {{param2.x(), param2.y()}};
+ tri_uvs[(lv + 2) % 3] = {{param3.x(), param3.y()}};
+ found = true;
+ break;
+ }
+ }
+ if(!found) {
+ /* Triangle with no vertex inside the GFace, difficult to get
+ * good UV parametrization, we use center projection to get
+ * a initial guess */
+ SPoint3 center = f->barycenter();
+ double initialGuess[2] = {0., 0.};
+ GPoint proj = gf->closestPoint(center, initialGuess);
+ if(proj.succeeded()) {
+ MFaceVertex cv(proj.x(), proj.y(), proj.z(), gf, proj.u(), proj.v());
+ MVertex *v1 = f->getVertex(0);
+ MVertex *v2 = f->getVertex(1);
+ MVertex *v3 = f->getVertex(2);
+ SPoint2 paramc;
+ SPoint2 param1;
+ SPoint2 param2;
+ SPoint2 param3;
+ reparamMeshEdgeOnFace(&cv, v1, gf, paramc, param1);
+ reparamMeshEdgeOnFace(&cv, v2, gf, paramc, param2);
+ reparamMeshEdgeOnFace(&cv, v3, gf, paramc, param3);
+ tri_uvs[0] = {{param1.x(), param1.y()}};
+ tri_uvs[1] = {{param2.x(), param2.y()}};
+ tri_uvs[2] = {{param3.x(), param3.y()}};
+ }
+ else {
+ no_eval = true;
+ tri_uvs[0] = {{0., 0.}};
+ tri_uvs[1] = {{0., 0.}};
+ tri_uvs[2] = {{0., 0.}};
+ }
+ }
+ }
+
+ triangles.push_back(tri_pts);
+ if(paramAvailable) triangle_uvs.push_back(tri_uvs);
+ if(paramAvailable && disableParamPer)
+ triangle_no_uv_eval.push_back(no_eval);
+ // Debug to visualize param
+ // {
+ // GeoLog::add({points[tri_pts[0]-1], points[tri_pts[1]-1],
+ // points[tri_pts[2]-1]},
+ // std::vector<double>{tri_uvs[0][0],tri_uvs[1][0],tri_uvs[2][0]},
+ // "sp_u");
+ // GeoLog::add({points[tri_pts[0]-1], points[tri_pts[1]-1],
+ // points[tri_pts[2]-1]},
+ // std::vector<double>{tri_uvs[0][1],tri_uvs[1][1],tri_uvs[2][1]},
+ // "sp_v");
+ // }
+ }
+
+ points.shrink_to_fit();
+ triangles.shrink_to_fit();
+ triangle_uvs.shrink_to_fit();
+
+ // Build an octree from a surface mesh
+ int32_t NmbVer = (int32_t)points.size();
+ double *VerTab1 = points[0].data();
+ double *VerTab2 = points[1].data();
+ // double* VerTab2 = VerTab1[3];
+ int32_t NmbTri = (int32_t)triangles.size();
+ int32_t *TriTab1 = triangles[0].data();
+ // int32_t* TriTab2 = TriTab1[3];
+ int32_t *TriTab2 = triangles[1].data();
+ Msg::Debug("create libOL octree (%i vertices and %i triangles)", NmbVer,
+ NmbTri);
+ OctIdx = LolNewOctree(NmbVer, VerTab1, VerTab2, 0, NULL, NULL, NmbTri,
+ TriTab1, TriTab2, 0, NULL, NULL, 0, NULL, NULL, 0, NULL,
+ NULL, 0, NULL, NULL, 0, NULL, NULL, BasIdx, 1);
+
+ return true;
+}
+
+GPoint failedProjection()
+{
+ GPoint fail(DBL_MAX, DBL_MAX, DBL_MAX, NULL);
+ fail.setNoSuccess();
+ return fail;
+}
+
+GPoint sphereProjection(GFace *gf, const double query[3],
+ const std::array<double, 10> &analyticalParameters)
+{
+ vec3 dir = {{query[0] - analyticalParameters[0],
+ query[1] - analyticalParameters[1],
+ query[2] - analyticalParameters[2]}};
+ if(length2(dir) == 0.) { return failedProjection(); }
+ normalize(dir);
+ const vec3 newPos = {{
+ analyticalParameters[0] + analyticalParameters[3] * dir[0],
+ analyticalParameters[1] + analyticalParameters[3] * dir[1],
+ analyticalParameters[2] + analyticalParameters[3] * dir[2]}};
+ return GPoint(newPos[0], newPos[1], newPos[2], gf);
+}
+
+GPoint SurfaceProjector::closestPoint(const double query[3], bool evalOnCAD,
+ bool projectOnCAD) const
+{
+ if(useAnalyticalFormula) {
+ if(analyticalShape == GFace::GeomType::Sphere) {
+ return sphereProjection(gf, query, analyticalParameters);
+ }
+ else {
+ Msg::Error(
+ "SurfaceProjector::closestPoint(): no analytical formula for shape");
+ return failedProjection();
+ }
+ }
+
+ if(OctIdx == 0) {
+ Msg::Error("SurfaceProjector::closestPoint(): no octree (face %i, %li "
+ "points, %li triangles)",
+ gf->tag(), points.size(), triangles.size());
+ return failedProjection();
+ }
+
+ const int BasIdx = 1; /* indices start at one in libOL */
+
+ /* Octree query */
+ double crd[3] = {query[0], query[1], query[2]};
+ double dis;
+ int idx = LolGetNearest(OctIdx, LolTypTri, crd, &dis, 0, NULL, NULL, 0);
+ if(idx <= 0) {
+ Msg::Warning("SurfaceProjector::closestPoint(): no closest triangle found "
+ "(face %i, %li triangles)",
+ gf->tag(), triangles.size());
+ return failedProjection();
+ }
+ size_t tri = idx - 1;
+
+ /* Projection to get the barycentric coordinates */
+ const vec3 queryv3 = {{query[0], query[1], query[2]}};
+ const vec3 &p1 = points[triangles[tri][0] - BasIdx];
+ const vec3 &p2 = points[triangles[tri][1] - BasIdx];
+ const vec3 &p3 = points[triangles[tri][2] - BasIdx];
+
+ // {
+ // int rdi = rand();
+ // GeoLog::add({p1,p2,p3},0.,"proj_"+std::to_string(rdi));
+ // GeoLog::add(queryv3,double(dis),"proj_"+std::to_string(rdi));
+ // }
+
+ double lambda[3];
+ vec3 cproj;
+ project_point_triangle_l2(queryv3, p1, p2, p3, cproj, lambda);
+ GPoint proj;
+ if(triangle_uvs.size() > 0) {
+ double uv[2] = {0., 0.};
+ uv[0] = lambda[0] * triangle_uvs[tri][0][0] +
+ lambda[1] * triangle_uvs[tri][1][0] +
+ lambda[2] * triangle_uvs[tri][2][0];
+ uv[1] = lambda[0] * triangle_uvs[tri][0][1] +
+ lambda[1] * triangle_uvs[tri][1][1] +
+ lambda[2] * triangle_uvs[tri][2][1];
+ if(projectOnCAD) {
+ SPoint3 queryp3(query[0], query[1], query[2]);
+ GPoint cadProj = gf->closestPoint(queryp3, uv);
+ if(cadProj.succeeded()) { proj = cadProj; }
+ }
+ else if(evalOnCAD) {
+ if(triangle_no_uv_eval.size() > 0 && triangle_no_uv_eval[tri]) {
+ /* 3D projection */
+ SPoint3 queryp3(query[0], query[1], query[2]);
+ GPoint cadProj = gf->closestPoint(queryp3, uv);
+ if(cadProj.succeeded()) { proj = cadProj; }
+ }
+ else {
+ proj = gf->point(uv[0], uv[1]);
+ }
+ }
+ else {
+ proj = GPoint(cproj[0], cproj[1], cproj[2], gf, uv[0], uv[1]);
+ }
+ }
+ else {
+ proj = GPoint(cproj[0], cproj[1], cproj[2], gf);
+ }
+
+ return proj;
+}
diff --git a/Mesh/meshOctreeLibOL.h b/Mesh/meshOctreeLibOL.h
new file mode 100644
index 0000000000000000000000000000000000000000..838edf016ec396f7c2e51cd47e335e4b4992125a
--- /dev/null
+++ b/Mesh/meshOctreeLibOL.h
@@ -0,0 +1,90 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+
+#ifndef MESH_OCTREE_LIB_OL
+#define MESH_OCTREE_LIB_OL
+
+#include <vector>
+#include <array>
+#include <string>
+#include "GPoint.h"
+#include "GFace.h"
+
+class MTriangle;
+
+/**
+ * @brief Class to project 3D points on a triangulated surface.
+ * If a parametrization is available, the UV are interpolated
+ * at the triangle projection.
+ * Not associated to the mesh elements of a GEntity, so it can be
+ * used on mesh sub-patches or on background mesh.
+ */
+class SurfaceProjector {
+public:
+ SurfaceProjector() : gf(NULL), OctIdx(0) {}
+ SurfaceProjector(GFace *gf); /* read triangles and quads from GFace */
+ SurfaceProjector(SurfaceProjector const &) = delete;
+ SurfaceProjector &operator=(SurfaceProjector const &) = delete;
+ ~SurfaceProjector();
+
+ /**
+ * @brief Fill the triangles and uvs from the triangles, then build the
+ * octree. Overwrite existing triangulation/octree if there is one.
+ *
+ * @param gf The CAD face containing the triangles
+ * @param triangles The triangles used to build the triangulated geometry
+ * support
+ *
+ * @return true if success
+ */
+ bool initialize(GFace *gf, const std::vector<MTriangle *> &triangles);
+
+ /**
+ * @brief Clear the triangulation and delete the octree
+ */
+ void clear();
+
+ /**
+ * @brief The SurfaceProjector can project with an analytical formula instead
+ * of a triangulation and a octree Supported shapes: Sphere
+ *
+ * @param gf The face containing the analytical parameters
+ *
+ * @return true if success
+ */
+ bool setAnalyticalProjection(GFace *gf);
+
+ /**
+ * @brief Get the query closest point on the triangulated surface.
+ *
+ * @param query[3] 3D coordinates of the query point
+ * @param evalOnCAD If param available, evaluate the face CAD mapping at the
+ * interpolated UV
+ * @param projectOnCAD If param available, call closestPoint from the CAD
+ * geometry engine, with the interpolated UV as initial guess
+ *
+ * @return the projection, check GPoint::succeeded() for projection success /
+ * failure
+ */
+ GPoint closestPoint(const double query[3], bool evalOnCAD = false,
+ bool projectOnCAD = false) const;
+
+public:
+ GFace *gf;
+
+protected:
+ std::vector<std::array<double, 3> > points;
+ std::vector<std::array<int32_t, 3> > triangles;
+ std::vector<std::array<std::array<double, 2>, 3> > triangle_uvs;
+ std::vector<bool> triangle_no_uv_eval; /* no eval. at param. singularity */
+ int64_t OctIdx; /* pointer to libOL octree (C structure) */
+
+ /* For simple CAD shapes, we have analytical formula for projection */
+ bool useAnalyticalFormula = false;
+ GFace::GeomType analyticalShape = GFace::GeomType::Unknown;
+ std::array<double, 10> analyticalParameters;
+};
+
+#endif
diff --git a/Mesh/meshPolyMesh.h b/Mesh/meshPolyMesh.h
new file mode 100644
index 0000000000000000000000000000000000000000..47a245f8999df0de3ae9666ff37bb420dcbc8084
--- /dev/null
+++ b/Mesh/meshPolyMesh.h
@@ -0,0 +1,331 @@
+// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+
+#ifndef MESH_POLYMESH_H
+#define MESH_POLYMESH_H
+
+#include <vector>
+#include <stack>
+#include <stdio.h>
+#include "SVector3.h"
+
+class PolyMesh {
+public:
+ class HalfEdge;
+ class Face;
+ class Vertex;
+
+ class Vertex {
+ public:
+ Vertex(double x, double y, double z, int _d = -1)
+ : position(x, y, z), he(NULL), data(_d)
+ {
+ }
+ SVector3 position;
+ PolyMesh::HalfEdge *he; // one incident half edge
+ int data;
+ };
+
+ class HalfEdge {
+ public:
+ HalfEdge(Vertex *vv)
+ : v(vv), f(NULL), prev(NULL), next(NULL), opposite(NULL), data(-1)
+ {
+ }
+ Vertex *v; // origin
+ Face *f; // incident face
+ HalfEdge *prev; // previous half edge on the face
+ HalfEdge *next; // next half edge on the face
+ HalfEdge *opposite; // opposite half edge (twin)
+ int data;
+ };
+
+ class Face {
+ public:
+ Face(HalfEdge *e) : he(e), data(-1) {}
+ HalfEdge *he; // one half edge of the face
+ int data;
+ };
+
+ std::vector<Vertex *> vertices;
+ std::vector<HalfEdge *> hedges;
+ std::vector<Face *> faces;
+
+ void reset()
+ {
+ for(auto it : vertices) delete it;
+ for(auto it : hedges) delete it;
+ for(auto it : faces) delete it;
+ }
+
+ ~PolyMesh() { reset(); }
+
+ void print4debug(const int debugTag)
+ {
+ char name[256];
+ sprintf(name, "polyMesh%d.pos", debugTag);
+ FILE *f = fopen(name, "w");
+ fprintf(f, "View \" %s \"{\n", name);
+ for(auto it : faces) {
+ HalfEdge *he0 = it->he;
+ HalfEdge *he1 = it->he->next;
+ HalfEdge *he2 = it->he->next->next;
+ fprintf(f, "ST(%g,%g,0,%g,%g,0,%g,%g,0){%d,%d,%d};\n",
+ he0->v->position.x(), he0->v->position.y(), he1->v->position.x(),
+ he1->v->position.y(), he2->v->position.x(), he2->v->position.y(),
+ it->data, it->data, it->data);
+ }
+ for(auto it : hedges) {
+ HalfEdge *he = it;
+ if(he->data >= 0) {
+ fprintf(f, "SL(%g,%g,0,%g,%g,0){%d,%d};\n", he->v->position.x(),
+ he->v->position.y(), he->opposite->v->position.x(),
+ he->opposite->v->position.y(), he->data, he->data);
+ }
+ }
+
+ fprintf(f, "};\n");
+ fclose(f);
+ }
+
+ // compute the degree of a given vertex v
+ inline int degree(const Vertex *v) const
+ {
+ HalfEdge *he = v->he;
+ size_t count = 0;
+ do {
+ he = he->opposite;
+ if(he == NULL) return -1;
+ he = he->next;
+ count++;
+ } while(he != v->he);
+ return count;
+ }
+
+ inline HalfEdge *getEdge(Vertex *v0, Vertex *v1)
+ {
+ HalfEdge *he = v0->he;
+ do {
+ if(he->next->v == v1) return he;
+ he = he->opposite;
+ if(he == NULL) return NULL;
+ he = he->next;
+ } while(he != v0->he);
+ return NULL;
+ }
+
+ inline void createFace(Face *f, Vertex *v0, Vertex *v1, Vertex *v2,
+ HalfEdge *he0, HalfEdge *he1, HalfEdge *he2)
+ {
+ he0->v = v0;
+ he1->v = v1;
+ he2->v = v2;
+ v0->he = he0;
+ v1->he = he1;
+ v2->he = he2;
+
+ he0->next = he1;
+ he1->prev = he0;
+ he1->next = he2;
+ he2->prev = he1;
+ he2->next = he0;
+ he0->prev = he2;
+ he0->f = he1->f = he2->f = f;
+ f->he = he0;
+ }
+
+ // swap without asking questions
+ //
+ // he1
+ // v2 ------->------ v3
+ // | \ |
+ // | \ he0 | he2
+ // heo2| \ |
+ // | heo0 \ |
+ // | \ |
+ // v1 -----<------- v0
+ // heo1
+ //
+ // he1
+ // --------------
+ // | / |
+ // | he0 / | he2
+ // heo2| / |
+ // | /heo0 |
+ // |/ |
+ // --------------
+ // heo1
+ //
+
+ inline int swap_edge(HalfEdge *he0)
+ {
+ HalfEdge *heo0 = he0->opposite;
+ if(heo0 == NULL) return -1;
+
+ HalfEdge *he1 = he0->next;
+ HalfEdge *he2 = he1->next;
+ HalfEdge *heo1 = heo0->next;
+ HalfEdge *heo2 = heo1->next;
+
+ Vertex *v0 = heo1->v;
+ Vertex *v1 = heo2->v;
+ Vertex *v2 = heo0->v;
+ Vertex *v3 = he2->v;
+
+ createFace(he0->f, v0, v1, v3, heo1, heo0, he2);
+ createFace(heo2->f, v1, v2, v3, heo2, he1, he0);
+ return 0;
+ }
+
+ //
+ // v0 he0
+ // ------------------>------ v1
+ // | /
+ // | /
+ // | v /
+ // |he2 /
+ // | / he1
+ // | /
+ // | /
+ // |/
+ // v2
+
+ inline void initialize_rectangle(double xmin, double xmax, double ymin,
+ double ymax)
+ {
+ reset();
+ Vertex *v_mm = new PolyMesh::Vertex(xmin, ymin, 0);
+ vertices.push_back(v_mm);
+ Vertex *v_mM = new PolyMesh::Vertex(xmin, ymax, 0);
+ vertices.push_back(v_mM);
+ Vertex *v_MM = new PolyMesh::Vertex(xmax, ymax, 0);
+ vertices.push_back(v_MM);
+ Vertex *v_Mm = new PolyMesh::Vertex(xmax, ymin, 0);
+ vertices.push_back(v_Mm);
+ HalfEdge *mm_MM = new HalfEdge(v_mm);
+ HalfEdge *MM_Mm = new HalfEdge(v_MM);
+ HalfEdge *Mm_mm = new HalfEdge(v_Mm);
+ hedges.push_back(mm_MM);
+ hedges.push_back(MM_Mm);
+ hedges.push_back(Mm_mm);
+ Face *f0 = new Face(mm_MM);
+ faces.push_back(f0);
+ createFace(f0, v_mm, v_MM, v_Mm, mm_MM, MM_Mm, Mm_mm);
+
+ HalfEdge *MM_mm = new HalfEdge(v_MM);
+ HalfEdge *mm_mM = new HalfEdge(v_mm);
+ HalfEdge *mM_MM = new HalfEdge(v_mM);
+ hedges.push_back(MM_mm);
+ hedges.push_back(mm_mM);
+ hedges.push_back(mM_MM);
+ Face *f1 = new Face(MM_mm);
+ faces.push_back(f1);
+ createFace(f1, v_MM, v_mm, v_mM, MM_mm, mm_mM, mM_MM);
+
+ MM_mm->opposite = mm_MM;
+ mm_MM->opposite = MM_mm;
+ }
+
+ inline int split_triangle(double x, double y, double z, Face *f,
+ int (*doSwap)(PolyMesh::HalfEdge *, void *) = NULL,
+ void *data = NULL,
+ std::vector<HalfEdge *> *_t = NULL)
+ {
+ Vertex *v = new PolyMesh::Vertex(x, y, z); // one more vertex
+
+ vertices.push_back(v);
+
+ HalfEdge *he0 = f->he;
+ HalfEdge *he1 = he0->next;
+ HalfEdge *he2 = he1->next;
+
+ Vertex *v0 = he0->v;
+ Vertex *v1 = he1->v;
+ Vertex *v2 = he2->v;
+ HalfEdge *hev0 = new PolyMesh::HalfEdge(v);
+ HalfEdge *hev1 = new PolyMesh::HalfEdge(v);
+ HalfEdge *hev2 = new PolyMesh::HalfEdge(v);
+
+ HalfEdge *he0v = new PolyMesh::HalfEdge(v0);
+ HalfEdge *he1v = new PolyMesh::HalfEdge(v1);
+ HalfEdge *he2v = new PolyMesh::HalfEdge(v2);
+
+ hedges.push_back(hev0);
+ hedges.push_back(hev1);
+ hedges.push_back(hev2);
+ hedges.push_back(he0v);
+ hedges.push_back(he1v);
+ hedges.push_back(he2v);
+
+ hev0->opposite = he0v;
+ he0v->opposite = hev0;
+ hev1->opposite = he1v;
+ he1v->opposite = hev1;
+ hev2->opposite = he2v;
+ he2v->opposite = hev2;
+
+ Face *f0 = f;
+ f->he = hev0;
+ Face *f1 = new Face(hev1);
+ Face *f2 = new Face(hev2);
+ f1->data = f2->data = f0->data;
+
+ faces.push_back(f1);
+ faces.push_back(f2);
+
+ createFace(f0, v0, v1, v, he0, he1v, hev0);
+ createFace(f1, v1, v2, v, he1, he2v, hev1);
+ createFace(f2, v2, v0, v, he2, he0v, hev2);
+
+ if(doSwap) {
+ std::stack<HalfEdge *> _stack;
+ _stack.push(he0);
+ _stack.push(he1);
+ _stack.push(he2);
+ std::vector<HalfEdge *> _touched;
+ while(!_stack.empty()) {
+ HalfEdge *he = _stack.top();
+ _touched.push_back(he);
+ _stack.pop();
+ // printf("do we swap %g %g --> %g %g ?\n",
+ // he->v->position.x(),he->v->position.y(),
+ // he->next->v->position.x(),he->next->v->position.y());
+ if(doSwap(he, data) == 1) {
+ // printf("YES\n");
+ swap_edge(he);
+
+ HalfEdge *H[2] = {he, he->opposite};
+
+ for(int k = 0; k < 2; k++) {
+ if(H[k] == NULL) continue;
+ HalfEdge *heb = H[k]->next;
+ HalfEdge *hebo = heb->opposite;
+
+ if(std::find(_touched.begin(), _touched.end(), heb) ==
+ _touched.end() &&
+ std::find(_touched.begin(), _touched.end(), hebo) ==
+ _touched.end()) {
+ _stack.push(heb);
+ }
+
+ HalfEdge *hec = heb->next;
+ HalfEdge *heco = hec->opposite;
+
+ if(std::find(_touched.begin(), _touched.end(), hec) ==
+ _touched.end() &&
+ std::find(_touched.begin(), _touched.end(), heco) ==
+ _touched.end()) {
+ _stack.push(hec);
+ }
+ }
+ }
+ }
+ if(_t) *_t = _touched;
+ }
+ return 0;
+ }
+};
+
+#endif
diff --git a/Mesh/meshQuadQuasiStructured.cpp b/Mesh/meshQuadQuasiStructured.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..761290bb8f5f1db841da968b6b5afe7290457555
--- /dev/null
+++ b/Mesh/meshQuadQuasiStructured.cpp
@@ -0,0 +1,2366 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#include "meshQuadQuasiStructured.h"
+
+#include <array>
+#include <queue>
+
+#include "GmshConfig.h"
+#include "GmshMessage.h"
+#include "Numeric.h"
+#include "Context.h"
+#include "OS.h"
+#include "GModel.h"
+#include "meshGEdge.h"
+#include "meshGFace.h"
+#include "meshGRegion.h"
+#include "BackgroundMesh.h"
+#include "Generator.h"
+#include "Field.h"
+#include "MElement.h"
+#include "MTriangle.h"
+#include "MQuadrangle.h"
+#include "MLine.h"
+#include "gmsh.h"
+#include "meshRefine.h"
+#include "meshOctreeLibOL.h"
+#include "robin_hood.h"
+
+#if defined(HAVE_POST)
+#include "PView.h"
+#include "PViewData.h"
+#include "PViewDataList.h"
+#include "PViewDataGModel.h"
+#include "PViewOptions.h"
+#endif
+#if defined(HAVE_FLTK)
+#include "FlGui.h"
+#endif
+
+#if defined(HAVE_QUADMESHINGTOOLS)
+/* QuadMeshingTools includes */
+#include "cppUtils.h"
+#include "qmtMeshUtils.h"
+#include "qmtCrossField.h"
+#include "qmtSizeMap.h"
+#include "qmtCurveQuantization.h"
+#include "qmtDiskQuadrangulationRemeshing.h"
+#include "qmtQuadCavityRemeshing.h"
+#include "qmtMeshGeometryOptimization.h"
+#include "arrayGeometry.h"
+#include "geolog.h"
+
+using namespace CppUtils;
+using namespace ArrayGeometry;
+
+template <typename Key, typename T, typename Hash = robin_hood::hash<Key>,
+ typename KeyEqual = std::equal_to<Key>, size_t MaxLoadFactor100 = 80>
+using unordered_map =
+ robin_hood::detail::Table<true, MaxLoadFactor100, Key, T, Hash, KeyEqual>;
+
+template <typename Key, typename Hash = robin_hood::hash<Key>,
+ typename KeyEqual = std::equal_to<Key>, size_t MaxLoadFactor100 = 80>
+using unordered_set =
+ robin_hood::detail::Table<true, MaxLoadFactor100, Key, void, Hash, KeyEqual>;
+
+const std::string BMESH_NAME = "bmesh_quadqs";
+
+constexpr bool PARANO_QUALITY = false;
+constexpr bool PARANO_VALIDITY = false;
+
+
+/* scaling applied on integer values stored in view (background field),
+ * so the visualization is not broken by the integers */
+constexpr double VIEW_INT_SCALING = 1.e-8;
+
+int buildBackgroundField(
+ GModel *gm, const std::vector<MTriangle *> &global_triangles,
+ const std::vector<std::array<double, 9> > &global_triangle_directions,
+ const std::unordered_map<MVertex *, double> &global_size_map,
+ const std::vector<std::array<double, 5> >& global_singularity_list,
+ const std::string &viewName = "guiding_field")
+{
+ Msg::Debug("build background guiding field ...");
+ if(global_triangles.size() != global_triangle_directions.size()) {
+ Msg::Error("build background field: incoherent sizes in input");
+ return -1;
+ }
+
+ std::vector<double> datalist;
+ datalist.reserve(global_triangles.size() * 18);
+ for(size_t i = 0; i < global_triangles.size(); ++i) {
+ MTriangle *t = global_triangles[i];
+ /* Triangle coordinates */
+ for(size_t d = 0; d < 3; ++d) {
+ for(size_t lv = 0; lv < 3; ++lv) {
+ datalist.push_back(t->getVertex(lv)->point().data()[d]);
+ }
+ }
+ /* Vector field */
+ for(size_t lv = 0; lv < 3; ++lv) {
+ MVertex *v = t->getVertex(lv);
+ auto it = global_size_map.find(v);
+ if(it == global_size_map.end()) {
+ Msg::Error("Building background field, triangle vertex not found in "
+ "global size map");
+ return -1;
+ }
+ double siz = it->second;
+ for(size_t d = 0; d < 3; ++d) {
+ double val = siz * global_triangle_directions[i][3 * lv + d];
+ datalist.push_back(val);
+ }
+ }
+ }
+
+#if defined(HAVE_POST)
+ PView *view = PView::getViewByName(viewName);
+ if(view == NULL) {
+ view = new PView();
+ view->getData()->setName(viewName);
+ }
+ PViewDataList *d = dynamic_cast<PViewDataList *>(view->getData());
+ if(!d) { // change the view type
+ std::string name = view->getData()->getName();
+ delete view->getData();
+ d = new PViewDataList();
+ d->setName(name);
+ d->setFileName(name + ".pos");
+ view->setData(d);
+ }
+
+ size_t numElements = datalist.size() / (9 + 9);
+ int idxtypeVT = 7; /* Post type: VT */
+ d->importList(idxtypeVT, numElements, datalist, false);
+
+#if defined(HAVE_FLTK)
+ view->getOptions()->visible = 0;
+ if(FlGui::available()) FlGui::instance()->updateViews(true, true);
+#endif
+
+ /* singularities */
+ if (global_singularity_list.size() > 0){
+ int idxtypeVP = 1; /* Post type: VP */
+ std::vector<double> datalistSING;
+ datalistSING.reserve(global_singularity_list.size()*6);
+ for (size_t i = 0; i < global_singularity_list.size(); ++i) {
+ datalistSING.push_back(global_singularity_list[i][2]); /* x */
+ datalistSING.push_back(global_singularity_list[i][3]); /* y */
+ datalistSING.push_back(global_singularity_list[i][4]); /* z */
+ datalistSING.push_back(VIEW_INT_SCALING*double(global_singularity_list[i][0])); /* gf->tag() */
+ datalistSING.push_back(VIEW_INT_SCALING*double(global_singularity_list[i][1])); /* index */
+ datalistSING.push_back(0.); /* empty */
+ }
+ d->importList(idxtypeVP, datalistSING.size()/6, datalistSING, false);
+ }
+
+
+ d->finalize();
+
+ gm->getFields()->setBackgroundMesh(view->getTag());
+
+ if(Msg::GetVerbosity() >= 99) {
+ std::string name = gm->getName() + "_bgm.pos";
+ Msg::Warning("export background field to '%s' ", name.c_str());
+ view->write(name, 0);
+ }
+
+ return 0;
+#else
+ Msg::Error(
+ "Module POST (post-processing) required to create background field view");
+ return -1;
+#endif
+}
+
+void showCrossFieldInView(
+ const std::vector<MTriangle *> &global_triangles,
+ const std::vector<std::array<double, 9> > &global_triangle_directions,
+ const std::string &viewName = "cross_field")
+{
+ for(size_t i = 0; i < global_triangles.size(); ++i) {
+ for(size_t lv = 0; lv < 3; ++lv) {
+ MVertex *v = global_triangles[i]->getVertex(lv);
+ vec3 dir = {{global_triangle_directions[i][3 * lv + 0],
+ global_triangle_directions[i][3 * lv + 1],
+ global_triangle_directions[i][3 * lv + 2]}};
+ std::array<double, 3> pt = v->point();
+ GeoLog::add(pt, dir, viewName);
+ }
+ }
+ GeoLog::flush();
+}
+
+void showUVParametrization(GFace *gf, const std::vector<MElement *> &elts,
+ const std::string &viewName = "uv")
+{
+ std::vector<std::vector<double> > values_u;
+ std::vector<std::vector<double> > values_v;
+ for(MElement *t : elts) {
+ std::vector<SPoint2> tris_uvs = paramOnElement(gf, t);
+ std::vector<double> us(tris_uvs.size());
+ std::vector<double> vs(tris_uvs.size());
+ for(size_t k = 0; k < us.size(); ++k) {
+ us[k] = tris_uvs[k][0];
+ vs[k] = tris_uvs[k][1];
+ }
+ values_u.push_back(us);
+ values_v.push_back(vs);
+ }
+ GeoLog::add(elts, values_u, viewName + "_u");
+ GeoLog::add(elts, values_v, viewName + "_v");
+}
+
+void showUVParametrization(GlobalBackgroundMesh &bgm,
+ const std::string &viewName = "uv")
+{
+ for(auto &kv : bgm.faceBackgroundMeshes) {
+ GFace *gf = kv.first;
+ if(!gf->haveParametrization()) continue;
+ std::vector<MElement *> tris;
+ for(MTriangle &t : kv.second.triangles) { tris.push_back(&t); }
+ showUVParametrization(gf, tris, viewName);
+ }
+ GeoLog::flush();
+}
+
+void printSizeMapStats(const std::vector<MTriangle *> &triangles,
+ std::unordered_map<MVertex *, double> &sizemap)
+{
+ double vmin = DBL_MAX;
+ double vmax = -DBL_MAX;
+ for(auto &kv : sizemap) {
+ vmin = std::min(vmin, kv.second);
+ vmax = std::max(vmax, kv.second);
+ }
+ double integral = 0.;
+ for(MTriangle *t : triangles) {
+ double values[3] = {0, 0, 0};
+ for(size_t lv = 0; lv < 3; ++lv) {
+ MVertex *v = t->getVertex(lv);
+ auto it = sizemap.find(v);
+ values[lv] = it->second;
+ ;
+ }
+ double a = std::abs(t->getVolume());
+ integral +=
+ a * 1. / std::pow(1. / 3. * (values[0] + values[1] + values[2]), 2);
+ }
+ Msg::Info("Size map statistics: min=%.3f, max=%.3f, target #elements: %.3f",
+ vmin, vmax, integral);
+}
+
+int fillSizemapFromTriangleSizes(const std::vector<MTriangle *> &triangles,
+ std::unordered_map<MVertex *, double> &sizeMap)
+{
+ std::unordered_map<MVertex *, std::vector<MVertex *> > v2v;
+ buildVertexToVertexMap(triangles, v2v);
+ for(auto &kv : v2v) {
+ MVertex *v = kv.first;
+ double sum = 0.;
+ double avg = 0.;
+ for(MVertex *v2 : kv.second) {
+ avg += v->distance(v2);
+ sum += 1.;
+ }
+ if(sum == 0.) continue;
+ sizeMap[v] = avg / sum;
+ }
+ return 0;
+}
+
+int fillSizemapFromScalarBackgroundField(
+ GModel *gm, const std::vector<MTriangle *> &triangles,
+ std::unordered_map<MVertex *, double> &sizeMap)
+{
+ Field *field = nullptr;
+ FieldManager *fields = gm->getFields();
+ if(fields->getBackgroundField() > 0) {
+ field = fields->get(fields->getBackgroundField());
+ if(field && field->numComponents() != 1) { field = nullptr; }
+ }
+ if(field == nullptr) {
+ Msg::Error("Scalar background field not found");
+ return -1;
+ }
+ for(MTriangle *t : triangles)
+ for(size_t lv = 0; lv < 3; ++lv) {
+ MVertex *v = t->getVertex(lv);
+ auto it = sizeMap.find(v);
+ if(it == sizeMap.end()) {
+ double value = (*field)(v->point().x(), v->point().y(), v->point().z());
+ if(std::isnan(value) || value == -DBL_MAX || value == DBL_MAX) continue;
+ sizeMap[v] = value;
+ }
+ }
+ return 0;
+}
+
+std::string nameOfSizeMapMethod(int method) {
+ if (method == 0) {
+ return "default (cross-field conformal scaling and CAD adaptation)";
+ } else if (method == 1) {
+ return "cross-field conformal scaling";
+ } else if (method == 2) {
+ return "cross-field conformal scaling and CAD adaptation";
+ } else if (method == 3) {
+ return "background mesh sizes";
+ }
+ return "unknown";
+}
+
+bool generateMeshWithSpecialParameters(GModel *gm,
+ double &scalingOnTriangulation)
+{
+ Msg::Debug("build background triangulation ...");
+
+ /* Unlock if called from GenerateMesh() */
+ bool shouldLock = false;
+ if(CTX::instance()->lock) {
+ CTX::instance()->lock = 0;
+ shouldLock = true;
+ }
+
+ /* Change meshing parameters to build a good triangulation
+ * for cross field */
+ /* - the triangulation must be a bit more refined than the quad mesh */
+ scalingOnTriangulation = 0.75;
+ int minCurveNodes = CTX::instance()->mesh.minCurveNodes;
+ int minCircleNodes = CTX::instance()->mesh.minCircleNodes;
+ double lcFactor = CTX::instance()->mesh.lcFactor;
+ int recombineAll = CTX::instance()->mesh.recombineAll;
+ int algoRecombine = CTX::instance()->mesh.algoRecombine;
+ int algo = CTX::instance()->mesh.algo2d;
+ CTX::instance()->mesh.minCurveNodes = std::min(minCurveNodes, 5);
+ CTX::instance()->mesh.minCircleNodes = std::min(minCircleNodes, 30);
+ CTX::instance()->mesh.lcFactor = lcFactor * scalingOnTriangulation;
+ CTX::instance()->mesh.recombineAll = 0;
+ CTX::instance()->mesh.algoRecombine = 0;
+ CTX::instance()->mesh.algo2d =
+ ALGO_2D_MESHADAPT; /* slow but frontal does not always work */
+
+ /* Generate the triangulation with standard gmsh pipeline */
+ GenerateMesh(gm, 2);
+
+ /* Restore parameters */
+ CTX::instance()->mesh.minCurveNodes = minCurveNodes;
+ CTX::instance()->mesh.minCircleNodes = minCircleNodes;
+ CTX::instance()->mesh.lcFactor = lcFactor;
+ CTX::instance()->mesh.recombineAll = recombineAll;
+ CTX::instance()->mesh.algoRecombine = algoRecombine;
+ CTX::instance()->mesh.algo2d = algo;
+
+ /* Lock again before going back to GenerateMesh() */
+ if(shouldLock) CTX::instance()->lock = 1;
+
+ return true;
+}
+
+int BuildBackgroundMeshAndGuidingField(GModel *gm, bool overwriteGModelMesh,
+ bool deleteGModelMesh, int N)
+{
+ if(CTX::instance()->abortOnError && Msg::GetErrorCount()) return 0;
+ if(CTX::instance()->mesh.algo2d != ALGO_2D_PACK_PRLGRMS &&
+ CTX::instance()->mesh.algo2d != ALGO_2D_QUAD_QUASI_STRUCT)
+ return 0;
+ if(N != 4 && N != 6) {
+ Msg::Error("guiding field: %i-symmetry field not supported", N);
+ return -1;
+ }
+
+ const bool SHOW_INTERMEDIATE_VIEWS = (Msg::GetVerbosity() >= 99);
+
+ Msg::Info("Build background mesh and guiding field ...");
+ bool externalSizemap = false;
+ const int qqsSizemapMethod = CTX::instance()->mesh.quadqsSizemapMethod;
+
+ {
+ FieldManager *fields = gm->getFields();
+ if(fields->getBackgroundField() > 0) {
+ Field *field = fields->get(fields->getBackgroundField());
+ if(field && field->numComponents() == 3) {
+ Msg::Info(
+ "vector background field exists, using it as a guiding field");
+ return 0;
+ }
+ else if(field && field->numComponents() == 1) {
+ if(qqsSizemapMethod == 0) {
+ Msg::Info("scalar background field exists, using it as size map");
+ externalSizemap = true;
+ }
+ else {
+ Msg::Warning("scalar background field exists, but ignored because "
+ "QuadqsSizemapMethod is %i",
+ CTX::instance()->mesh.quadqsSizemapMethod);
+ }
+ }
+ }
+ }
+
+ if(overwriteGModelMesh) {
+ Msg::Debug("delete GModel mesh");
+ std::for_each(gm->firstRegion(), gm->lastRegion(), deMeshGRegion());
+ std::for_each(gm->firstFace(), gm->lastFace(), deMeshGFace());
+ std::for_each(gm->firstRegion(), gm->lastRegion(), deMeshGRegion());
+ }
+
+ /* Check if triangulation available */
+ bool surfaceMeshed = true;
+ {
+ bool onlyVisible = CTX::instance()->mesh.meshOnlyVisible;
+ for(GFace *gf : gm->getFaces())
+ if(gf->getNumMeshElements() == 0) {
+ if(onlyVisible && !gf->getVisibility()) continue;
+ surfaceMeshed = false;
+ }
+ }
+
+ /* Generate triangulation */
+ /* - scalingOnTriangulation: updated by generateMeshWithSpecialParameters
+ * this factor is used to get a triangulation a bit more finer than the
+ * target quadrangulation, to get a more accurate cross field */
+ double scalingOnTriangulation = 1;
+ if(!surfaceMeshed) {
+ generateMeshWithSpecialParameters(gm, scalingOnTriangulation);
+ }
+
+ // {
+ // setQuadqsTransfiniteConstraints(gm, 0.34);
+ // gm->deleteMesh();
+ // generateMeshWithSpecialParameters(gm, scalingOnTriangulation);
+ // gmsh::initialize();
+ // gmsh::fltk::run();
+ // abort();
+ // }
+
+ GlobalBackgroundMesh &bmesh = getBackgroundMesh(BMESH_NAME);
+ bool overwrite = true;
+ int status = bmesh.importGModelMeshes(gm, overwrite);
+ if(status != 0) {
+ Msg::Error("failed to import model mesh in background mesh");
+ return -1;
+ }
+
+ if(deleteGModelMesh) {
+ Msg::Debug("delete GModel mesh");
+ gm->deleteMesh();
+ }
+
+ /* Build guiding field on background mesh:
+ * - per GFace:
+ * - cross field (unit vectors, one value per edge)
+ * - conformal scaling (scalar, one value per vertex)
+ * - offset conformal scaling by target number of quads
+ * -> one vector (scaled direction) per triangle corner
+ * - global:
+ * - compute/extract size map
+ * - apply size map to triangle vectors (take minimum)
+ * - one-way smoothing with Dijkstra + gradient max
+ */
+ std::vector<MTriangle *> global_triangles;
+ std::vector<std::array<double, 9> > global_triangle_directions;
+ std::vector<std::pair<MVertex *, double> > global_size_map;
+ std::vector<std::array<double, 5> > global_singularity_list; /* format: gf->tag(), index, x, y, z */
+ /* Per GFace computations, in parallel */
+ {
+ Msg::Info("- quadqs sizemap method: %s", nameOfSizeMapMethod(CTX::instance()->mesh.quadqsSizemapMethod).c_str());
+
+ std::vector<GFace *> faces = model_faces(gm);
+ size_t ntris = 0;
+ for(size_t f = 0; f < faces.size(); ++f) {
+ GFace *gf = faces[f];
+ auto it = bmesh.faceBackgroundMeshes.find(gf);
+ if(it != bmesh.faceBackgroundMeshes.end()) {
+ ntris += it->second.triangles.size();
+ }
+ }
+ global_triangles.reserve(ntris);
+ global_size_map.reserve(3 * ntris);
+
+#if defined(_OPENMP)
+#pragma omp parallel for schedule(dynamic)
+#endif
+ for(size_t f = 0; f < faces.size(); ++f) {
+ GFace *gf = faces[f];
+
+ if(CTX::instance()->mesh.meshOnlyVisible && !gf->getVisibility())
+ continue;
+ if(CTX::instance()->debugSurface > 0 &&
+ gf->tag() != CTX::instance()->debugSurface)
+ continue;
+
+ /* Compute a cross field on each face */
+ std::vector<MLine *> lines;
+ std::vector<MTriangle *> triangles;
+
+ /* Collect pointers to background mesh elements */
+ std::vector<GEdge *> edges = face_edges(gf);
+ for(GEdge *ge : edges) {
+ auto it = bmesh.edgeBackgroundMeshes.find(ge);
+ if(it == bmesh.edgeBackgroundMeshes.end()) {
+ Msg::Warning("BuildBackgroundMeshAndGuidingField: GEdge %i not found "
+ "in background mesh",
+ ge->tag());
+ continue;
+ }
+ lines.reserve(lines.size() + it->second.lines.size());
+ for(size_t i = 0; i < it->second.lines.size(); ++i) {
+ lines.push_back(&(it->second.lines[i]));
+ }
+ }
+ auto it = bmesh.faceBackgroundMeshes.find(gf);
+ if(it == bmesh.faceBackgroundMeshes.end()) {
+ Msg::Warning("BuildBackgroundMeshAndGuidingField: GFace %i not found "
+ "in background mesh",
+ gf->tag());
+ continue;
+ }
+ triangles.reserve(triangles.size() + it->second.triangles.size());
+ for(size_t i = 0; i < it->second.triangles.size(); ++i) {
+ triangles.push_back(&(it->second.triangles[i]));
+ }
+
+ if(triangles.size() == 0) {
+ Msg::Error("- Face %i: no triangles in background mesh", gf->tag());
+ continue;
+ }
+
+ /* Cross field */
+ std::vector<std::array<double, 3> > triEdgeTheta;
+ int nbDiffusionLevels = 4;
+ double thresholdNormConvergence = 1.e-2;
+ int nbBoundaryExtensionLayer = 1;
+ int verbosity = 0;
+ Msg::Info("- Face %i/%li: compute cross field (%li triangles, %li B.C. "
+ "edges, %i diffusion levels) ...",
+ gf->tag(), faces.size(), triangles.size(), lines.size(),
+ nbDiffusionLevels);
+ int scf = computeCrossFieldWithHeatEquation(
+ N, triangles, lines, triEdgeTheta, nbDiffusionLevels,
+ thresholdNormConvergence, nbBoundaryExtensionLayer, verbosity);
+ if(scf != 0) {
+ Msg::Warning("- Face %i: failed to compute cross field", gf->tag());
+ }
+
+ /* Cross field singularities */
+ bool addSingularitiesAtAcuteCorners = true;
+ double thresholdInDeg = 30.;
+ std::vector<std::pair<SPoint3, int> > singularities;
+ int scsi = detectCrossFieldSingularities(N, triangles, triEdgeTheta,
+ addSingularitiesAtAcuteCorners,
+ thresholdInDeg, singularities);
+ if(scsi != 0) {
+ Msg::Warning("- Face %i: failed to compute cross field singularities",
+ gf->tag());
+ }
+ std::vector<std::array<double,5> > singularity_list(singularities.size());
+ for (size_t k = 0; k < singularities.size(); ++k) {
+ singularity_list[k] = {double(gf->tag()), double(singularities[k].second),
+ singularities[k].first.x(), singularities[k].first.y(), singularities[k].first.z()};
+ }
+
+ if(SHOW_INTERMEDIATE_VIEWS) {
+ for(auto &kv : singularities) {
+ GeoLog::add(kv.first, double(kv.second), "singularities");
+ }
+ }
+
+ std::vector<std::array<double, 9> > triangleDirections;
+ int sc = convertToPerTriangleCrossFieldDirections(
+ N, triangles, triEdgeTheta, triangleDirections);
+ if(sc != 0) {
+ Msg::Warning(
+ "- Face %i: failed to resample cross field at triangle corners",
+ gf->tag());
+ }
+
+ /* Build the size map of the guiding field */
+ std::unordered_map<MVertex *, double> localSizemap;
+ if(externalSizemap) { /* Size map from background field */
+ int sts =
+ fillSizemapFromScalarBackgroundField(gm, triangles, localSizemap);
+ if(sts != 0) {
+ Msg::Warning(
+ "- Face %i: failed to fill size map from scalar background field",
+ gf->tag());
+ }
+ }
+ else if(qqsSizemapMethod ==
+ 3) { /* Size map from background triangulation */
+ int sts = fillSizemapFromTriangleSizes(triangles, localSizemap);
+ if(sts != 0) {
+ Msg::Warning("- Face %i: failed to fill size map from triangle sizes",
+ gf->tag());
+ } else if (sts == 0 && scalingOnTriangulation > 0.) {
+ /* re-adjust the target edge size as if the triangulation was
+ * not finer for more accurate cross field */
+ for (auto& kv: localSizemap) {
+ kv.second /= scalingOnTriangulation;
+ }
+ }
+ }
+ else {
+ /* Conformal scaling associated to cross field */
+ Msg::Info("- Face %i/%li: compute cross field conformal scaling ...",
+ gf->tag(), faces.size());
+ int scs = computeCrossFieldConformalScaling(N, triangles, triEdgeTheta,
+ localSizemap);
+ if(scs != 0) {
+ Msg::Warning(
+ "- Face %i: failed to compute conformal scaling, use uniform size",
+ gf->tag());
+ for(MTriangle *t : triangles)
+ for(size_t lv = 0; lv < 3; ++lv) {
+ localSizemap[t->getVertex(lv)] = 1.;
+ }
+ }
+
+ /* Quantile filtering on the conformal scaling histogram */
+ Msg::Debug("- Face %i/%li: conformal scaling quantile filtering ...",
+ gf->tag(), faces.size());
+ double filteringRange = 0.05;
+ quantileFiltering(localSizemap, filteringRange);
+
+ size_t targetNumberOfQuads = gf->triangles.size() / 2.;
+ if(targetNumberOfQuads == 0) { /* Check in background mesh */
+ auto it = bmesh.faceBackgroundMeshes.find(gf);
+ if(it == bmesh.faceBackgroundMeshes.end()) {
+ Msg::Error("- Face %i: background mesh not found", gf->tag());
+ targetNumberOfQuads = 1000;
+ }
+ else {
+ targetNumberOfQuads = 0.5 * it->second.triangles.size();
+ targetNumberOfQuads *= std::pow(scalingOnTriangulation, 2);
+ }
+ }
+
+ /* Midpoint subdivision => 4 times more quads */
+ targetNumberOfQuads /= 4;
+
+ if(targetNumberOfQuads == 0) targetNumberOfQuads = 1;
+
+ int scso = computeQuadSizeMapFromCrossFieldConformalFactor(
+ triangles, targetNumberOfQuads, localSizemap);
+ if(scso != 0) {
+ Msg::Warning(
+ "- Face %i: failed to compute size map from conformal scaling",
+ gf->tag());
+ }
+ }
+
+#if defined(_OPENMP)
+#pragma omp critical
+#endif
+ {
+ append(global_triangles, triangles);
+ append(global_triangle_directions, triangleDirections);
+ append(global_singularity_list, singularity_list);
+ for(auto &kv : localSizemap) {
+ global_size_map.push_back({kv.first, kv.second});
+ }
+ }
+ }
+ }
+ sort_unique(global_size_map);
+
+ /* Warning: from now on, code is not optimized in terms of data structures
+ * (slow unordered_map instead of contiguous vectors, etc)
+ * should be improved if this step is time-consuming in the
+ * global pipeline. */
+
+ if(SHOW_INTERMEDIATE_VIEWS) {
+ showCrossFieldInView(global_triangles, global_triangle_directions,
+ "cross_field");
+ }
+
+ /* Global operations */
+
+ /* Compute minimum / maximum of "natural" size map.
+ * Use this to avoid cases when minimal size on curves
+ * tends to 0 */
+ double smMin = DBL_MAX;
+ for(auto &kv : global_size_map) { smMin = std::min(smMin, kv.second); }
+ double factor = 0.1; /* size map can be reduced up to factor */
+ double minSizeClampMin = factor * smMin;
+
+ /* Minimal size on curves */
+ std::unordered_map<MVertex *, double> cadMinimalSizeOnCurves;
+ if((qqsSizemapMethod == 0 && !externalSizemap) || qqsSizemapMethod == 2) {
+ int scad = computeMinimalSizeOnCurves(bmesh, cadMinimalSizeOnCurves);
+ if(scad != 0) {
+ Msg::Warning("failed to compute minimal size on CAD curves");
+ }
+ }
+
+ /* Initialize global size map defined on the background mesh */
+ std::unordered_map<MVertex *, double> sizeMap = cadMinimalSizeOnCurves;
+ for(auto &kv : global_size_map) {
+ MVertex *v = kv.first;
+ auto it = sizeMap.find(v);
+ if(it == sizeMap.end()) {
+ sizeMap[kv.first] = kv.second; /* "natural" size */
+ }
+ else {
+ double sizeFromAdaptation = std::max(it->second, minSizeClampMin);
+ it->second = std::min(sizeFromAdaptation, kv.second);
+ }
+ }
+
+ /* One-way propagation of values */
+ const double gradientMax =
+ 1.2; /* this param should be a global gmsh option */
+ int sop = sizeMapOneWaySmoothing(global_triangles, sizeMap, gradientMax);
+ if(sop != 0) { Msg::Warning("failed to compute one-way size map smoothing"); }
+
+ if(SHOW_INTERMEDIATE_VIEWS) {
+ std::vector<MElement *> elements =
+ dynamic_cast_vector<MTriangle *, MElement *>(global_triangles);
+ GeoLog::add(elements, sizeMap, "size_map");
+ GeoLog::flush();
+ showUVParametrization(bmesh);
+ }
+
+ /* Clamp with global minimum/maximum mesh size */
+ // {
+ // // TODO: apply on sizeMap instead
+ // // TODO: should be multiplied by lcFactor or not ?
+ // for (auto& kv: global_size_map) {
+ // if (kv.second < CTX::instance()->mesh.lcMin) {
+ // kv.second = CTX::instance()->mesh.lcMin;
+ // } else if (kv.second > CTX::instance()->mesh.lcMax) {
+ // kv.second = CTX::instance()->mesh.lcMax;
+ // }
+ // }
+ // }
+
+ printSizeMapStats(global_triangles, sizeMap);
+
+ /* Build the background field */
+ int sbf = buildBackgroundField(
+ gm, global_triangles, global_triangle_directions, sizeMap, global_singularity_list, "guiding_field");
+ if(sbf != 0) {
+ Msg::Warning("failed to build background guiding field");
+ return -1;
+ }
+
+ return 0;
+}
+
+bool backgroundMeshAndGuidingFieldExists(GModel *gm)
+{
+ bool bgmOk = backgroudMeshExists(BMESH_NAME);
+ bool bfOk = false;
+ FieldManager *fields = gm->getFields();
+ if(fields->getBackgroundField() > 0) {
+ Field *guiding_field = fields->get(fields->getBackgroundField());
+ if(guiding_field && guiding_field->numComponents() == 3) { bfOk = true; }
+ }
+ return bgmOk && bfOk;
+}
+
+bool getSingularitiesFromBackgroundField(GFace* gf,
+ std::vector<std::pair<SPoint3, int> >& singularities) {
+ singularities.clear();
+
+ Field* field = nullptr;
+ FieldManager *fields = gf->model()->getFields();
+ if(fields->getBackgroundField() > 0) {
+ Field *guiding_field = fields->get(fields->getBackgroundField());
+ if(guiding_field && guiding_field->numComponents() == 3) { field = guiding_field; }
+ }
+ if (field == nullptr) {
+ Msg::Error("get singularities: face %i, failed to get background field", gf->tag());
+ return false;
+ }
+
+ int viewTag = int(field->options["IView"]->numericalValue());
+ PView* view = PView::getViewByTag(viewTag);
+ if (view == nullptr) {
+ Msg::Error("failed to get view for tag = %i", viewTag);
+ return false;
+ }
+ PViewDataList *d = dynamic_cast<PViewDataList *>(view->getData());
+ if (d == nullptr) {
+ Msg::Error("view type is wrong");
+ return false;
+ }
+
+ size_t nVP = d->VP.size()/6;
+ for (size_t i = 0; i < nVP; ++i) {
+ int gfTag = int(std::round(d->VP[6*i+3] / VIEW_INT_SCALING));
+ if (gfTag != gf->tag()) continue;
+ int index = int(std::round(d->VP[6*i+4] / VIEW_INT_SCALING));
+ double x = d->VP[6*i+0];
+ double y = d->VP[6*i+1];
+ double z = d->VP[6*i+2];
+ singularities.push_back(std::make_pair(SPoint3(x,y,z),index));
+ }
+
+ return true;
+}
+
+void computeBdrVertexIdealValence(const std::vector<MQuadrangle *> &quads,
+ unordered_map<MVertex *, double> &qValIdeal)
+{
+ qValIdeal.clear();
+ for(MQuadrangle *f : quads) {
+ for(size_t lv = 0; lv < 4; ++lv) {
+ MVertex *v = f->getVertex(lv);
+ GFace *gf = dynamic_cast<GFace *>(v->onWhat());
+ if(gf == nullptr) { /* On boundary */
+ MVertex *vPrev = f->getVertex((4 + lv - 1) % 4);
+ MVertex *vNext = f->getVertex((lv + 1) % 4);
+ SVector3 pNext = vNext->point();
+ SVector3 pPrev = vPrev->point();
+ SVector3 pCurr = v->point();
+ double agl = angleVectors(pNext - pCurr, pPrev - pCurr);
+ qValIdeal[v] += agl * 2. / M_PI;
+ }
+ }
+ }
+}
+
+inline int clamp(int val, int lower, int upper)
+{
+ return std::min(upper, std::max(val, lower));
+}
+
+bool getBoundaryIdealAndAllowedValences(
+ int fixingDim, /* 0 when fixing corners, 1 when fixing curves, 2 when fixing
+ surfaces */
+ GFaceMeshPatch &patch,
+ const unordered_map<MVertex *, std::vector<MElement *> > &adj,
+ const unordered_map<MVertex *, double> &qValIdeal,
+ std::vector<int> &bndIdealValence,
+ std::vector<std::pair<int, int> > &bndAllowedValenceRange)
+{
+ if(fixingDim < 0 || fixingDim > 2) return false;
+ size_t N = patch.bdrVertices.front().size();
+ bndIdealValence.resize(N);
+ bndAllowedValenceRange.resize(N);
+ for(size_t i = 0; i < N; ++i) {
+ MVertex *bv = patch.bdrVertices.front()[i];
+ GVertex *gv = dynamic_cast<GVertex *>(bv->onWhat());
+ GEdge *ge = dynamic_cast<GEdge *>(bv->onWhat());
+ GFace *gf = dynamic_cast<GFace *>(bv->onWhat());
+ int idealTot = 4;
+ if(gf == nullptr) {
+ auto it = qValIdeal.find(bv);
+ if(it == qValIdeal.end()) {
+ Msg::Error("getBoundaryIdealAndAllowedValences: bdr vertex %i not "
+ "found in qValIdeal",
+ bv->getNum());
+ return false;
+ }
+ idealTot = (int)clamp(std::round(it->second), 1., 4.);
+ }
+ auto it = adj.find(bv);
+ if(it == adj.end()) {
+ Msg::Error(
+ "getBoundaryIdealAndAllowedValences: bdr vertex not found in adj");
+ return false;
+ }
+ std::vector<MElement *> exterior = difference(it->second, patch.elements);
+ int valExterior = (int)exterior.size();
+ int valInterior = (int)it->second.size() - exterior.size();
+ int idealIn = idealTot - valExterior;
+ if(idealIn <= 0) {
+ idealIn = 1;
+ // DBG(bv->getNum(), idealIn, idealTot, valExterior);
+ // Msg::Error("getBoundaryIdealAndAllowedValences: ideal valence inside is
+ // <= 0, weird"); return false;
+ }
+ bndIdealValence[i] = idealIn;
+ if(exterior.size() == 0) { /* boundary vertex "inside" the cavity, probably
+ the one to remesh */
+ bndAllowedValenceRange[i] = {idealIn, idealIn};
+ }
+ else if(gv != nullptr) { /* Current bdr vertex is corner */
+ bndAllowedValenceRange[i] = {idealIn, idealIn};
+ }
+ else if(ge != nullptr) { /* Current bdr vertex is on curve */
+ if(fixingDim == 0) { /* When fixing corners, can degrade curves */
+ bndAllowedValenceRange[i] = {1, 2};
+ }
+ else {
+ bndAllowedValenceRange[i] = {idealIn, idealIn};
+ }
+ }
+ else if(gf != nullptr) {
+ if(valExterior <= 0) {
+ Msg::Error("getBoundaryIdealAndAllowedValences: surface bdr vertex but "
+ "exterior valence is: %i",
+ valExterior);
+ return false;
+ }
+ if(fixingDim == 0 && idealTot >= 3 && it->second.size() == 4) {
+ /* When fixing concave corner, do not degrade close regular interior
+ * vertices */
+ bndAllowedValenceRange[i] = {valInterior, valInterior};
+ }
+ else if(fixingDim == 0 ||
+ fixingDim ==
+ 1) { /* When fixing corner/curve, can degrade surface */
+ /* Allowed total range: [3,6], minimize if valExterior higher to this */
+ int lower = 3 - valExterior;
+ int upper = 6 - valExterior;
+ lower = clamp(lower, 1, 5);
+ upper = clamp(upper, 1, 5);
+ bndAllowedValenceRange[i] = {lower, upper};
+ }
+ else {
+ /* Allowed total range: [3,5], minimize if valExterior higher to this */
+ int lower = 3 - valExterior;
+ int upper = 5 - valExterior;
+ lower = clamp(lower, 1, 4);
+ upper = clamp(upper, 1, 4);
+ bndAllowedValenceRange[i] = {lower, upper};
+ }
+ }
+ else {
+ Msg::Error("getBoundaryIdealAndAllowedValences: vertex on no CAD entity, "
+ "should not happen");
+ return false;
+ }
+
+ // if (fixingDim == 2) {
+ // std::string name = "[" +
+ // std::to_string(bndAllowedValenceRange[i].first)
+ // + "," + std::to_string(int(bndAllowedValenceRange[i].second)) + "]";
+ // GeoLog::add({bv->point()},double(bndIdealValence[i]), name);
+ // }
+ }
+
+ return true;
+}
+
+bool meshOrientationIsOppositeOfCadOrientation(GFace *gf)
+{
+ size_t nOk = 0;
+ size_t nInv = 0;
+ for(std::size_t iEl = 0; iEl < gf->getNumMeshElements(); iEl++) {
+ MElement *e = gf->getMeshElement(iEl);
+ SVector3 ne = e->getFace(0).normal();
+ MVertex *v = e->getVertex(0);
+ SPoint2 param;
+ if(v->onWhat() == gf && v->getParameter(0, param[0]) &&
+ v->getParameter(1, param[1])) {
+ SVector3 nf = gf->normal(param);
+ if(dot(nf, ne) < 0.) { nInv += 1; }
+ else {
+ nOk += 1;
+ }
+ }
+ }
+ return (nInv > nOk);
+}
+
+void updateAdjacencies(const GFaceMeshPatch &before,
+ const GFaceMeshPatch &after,
+ unordered_map<MVertex *, std::vector<MElement *> > &adj)
+{
+ /* Remove old vertices from adjacency keys */
+ for(MVertex *v : before.intVertices) {
+ auto it = adj.find(v);
+ if(it != adj.end()) { adj.erase(it); }
+ }
+ /* Remove old elements from adjacency values */
+ for(MVertex *bv : before.bdrVertices.front()) {
+ auto it = adj.find(bv);
+ if(it != adj.end()) {
+ it->second = difference(it->second, before.elements);
+ }
+ }
+ /* Add new keys and values */
+ for(MElement *e : after.elements) {
+ for(size_t lv = 0; lv < e->getNumVertices(); ++lv) {
+ MVertex *v = e->getVertex(lv);
+ adj[v].push_back(e);
+ }
+ }
+}
+
+std::vector<MElement *>
+getNeighbors(const std::vector<MElement *> &elements,
+ const unordered_map<MVertex *, std::vector<MElement *> > &adj)
+{
+ std::vector<MElement *> neighbors;
+ for(MElement *e : elements) {
+ for(size_t lv = 0; lv < e->getNumVertices(); ++lv) {
+ MVertex *v = e->getVertex(lv);
+ auto it = adj.find(v);
+ if(it != adj.end()) {
+ for(MElement *e : it->second) { neighbors.push_back(e); }
+ }
+ }
+ }
+ neighbors = difference(neighbors, elements);
+ return neighbors;
+}
+
+bool smoothThePool(
+ GFace *gf, const std::vector<MVertex *> &smoothingPool,
+ const unordered_map<MVertex *, std::vector<MElement *> > &adj,
+ bool invertNormalsForQuality, SurfaceProjector *sp = nullptr)
+{
+ /* Get all quads used for smoothing */
+ std::vector<MElement *> elements;
+ {
+ std::vector<MVertex *> unq = smoothingPool;
+ sort_unique(unq);
+ elements.reserve(unq.size());
+ for(MVertex *v : unq) {
+ auto it = adj.find(v);
+ if(it != adj.end()) { append(elements, it->second); }
+ }
+ }
+
+ /* Build the disconnected patches and smooth them independently */
+ std::vector<std::vector<MElement *> > components;
+ bool okc = getConnectedComponents(elements, components);
+ if(!okc) return false;
+ Msg::Debug("smooth %li connected components from %li initial elements ...",
+ components.size(), elements.size());
+ for(size_t i = 0; i < components.size(); ++i) {
+ GFaceMeshPatch patch;
+ bool okp = patchFromElements(gf, components[i], patch);
+ if(!okp) continue;
+
+ PatchGeometryBackup backup(patch);
+
+ GeomOptimStats stats;
+ double sicnBefore = 0.;
+ if(haveNiceParametrization(gf)) {
+ if(patch.bdrVertices.size() == 1) { /* disk topology */
+ /* Global UV smoothing */
+ patchOptimizeGeometryGlobal(patch, stats);
+ sicnBefore = stats.sicnMinBefore;
+
+ if(stats.sicnMinAfter < 0.5) {
+ /* Kernel smoothing */
+ GeomOptimOptions opt;
+ opt.invertCADNormals = invertNormalsForQuality;
+ patchOptimizeGeometryWithKernel(patch, opt, stats);
+ }
+ }
+ else {
+ double sicnAvg;
+ computeSICN(patch.elements, sicnBefore, sicnAvg);
+ if(sicnBefore < 0.5) {
+ /* Kernel smoothing */
+ GeomOptimOptions opt;
+ opt.invertCADNormals = invertNormalsForQuality;
+ patchOptimizeGeometryWithKernel(patch, opt, stats);
+ }
+ }
+ }
+ else {
+ GeomOptimOptions opt;
+ opt.sp = sp;
+ opt.outerLoopIterMax = 20.;
+ opt.timeMax = 10.;
+ opt.withBackup = true;
+ opt.invertCADNormals = invertNormalsForQuality;
+ // opt.smartMinThreshold = 0.1;
+ // opt.localLocking = true;
+ opt.dxLocalMax = 1.e-4;
+ patchOptimizeGeometryWithKernel(patch, opt, stats);
+ }
+
+ /* Check after smoothing */
+ if(stats.sicnMinAfter < sicnBefore) {
+ Msg::Debug(
+ "quality (SICN) decreased (%.3f -> %.3f), restore previous geometry",
+ sicnBefore, stats.sicnMinAfter);
+ backup.restore();
+ }
+ }
+
+ return true;
+}
+
+struct DQOptions {
+ bool invertNormalsForQuality = false;
+ SurfaceProjector *sp = nullptr;
+};
+
+struct DQStats {
+ size_t nCornerValFixed = 0;
+ size_t nCurveValFixed = 0;
+ size_t nSurfaceValFixed = 0;
+ size_t nCornerValRemaining = 0;
+ size_t nCurveValRemaining = 0;
+ size_t nSurfaceValRemaining = 0;
+};
+
+int improveCornerValences(
+ GFace *gf,
+ const unordered_map<MVertex *, double>
+ &qValIdeal, /* valence on bdr vertices */
+ unordered_map<MVertex *, std::vector<MElement *> > &adj, DQOptions &opt,
+ DQStats &stats)
+{
+ Msg::Debug("- Face %i: improve corner valences", gf->tag());
+ std::vector<MVertex *>
+ smoothingPool; /* for smoothing after topological changes */
+ smoothingPool.reserve(gf->mesh_vertices.size());
+
+ /* qValIdeal is unordered_map and its ordering is random, we replace
+ * it with a deterministic ordering, containing only the corners */
+ std::vector<std::pair<MVertex *, double> > cornerAndIdeal;
+ for(auto &kv : qValIdeal) {
+ GVertex *gv = dynamic_cast<GVertex *>(kv.first->onWhat());
+ if(gv != nullptr) { cornerAndIdeal.push_back({kv.first, kv.second}); }
+ }
+ std::sort(cornerAndIdeal.begin(), cornerAndIdeal.end(),
+ [](const std::pair<MVertex *, double> &lhs,
+ const std::pair<MVertex *, double> &rhs) {
+ return lhs.second < rhs.second ||
+ (lhs.second == rhs.second &&
+ lhs.first->getNum() < rhs.first->getNum());
+ });
+
+ int SMALL_PATCH = 0; /* just the quads adjacent to corner */
+ int LARGER_PATCH = 1; /* add the neighbors */
+ /* We try larger cavities first because the result is usually better
+ * when it works (less new defects on adjacent curves). But it does
+ * not work when the larger cavity is too constrained by CAD curves,
+ * so we try the small cavity after */
+ for(int pass : {LARGER_PATCH, SMALL_PATCH}) {
+ for(const auto &kv : cornerAndIdeal) {
+ MVertex *v = kv.first;
+ GVertex *gv = dynamic_cast<GVertex *>(v->onWhat());
+ if(gv == nullptr) continue;
+
+ auto it = adj.find(v);
+ if(it == adj.end()) continue;
+ const std::vector<MElement *> &quads = it->second;
+ double ideal = kv.second;
+ size_t ival = (size_t)clamp(std::round(ideal), 1., 4.);
+ if(ival == quads.size()) continue;
+ size_t num = v->getNum();
+
+ /* From here, we try to change the local configuration */
+ Msg::Debug(
+ "- Face %i: try to fix corner %i (vertex %li), val %li instead of %li",
+ gf->tag(), gv->tag(), num, it->second.size(), ival);
+
+ /* Init patch with quads adjacent to corner */
+ GFaceMeshPatch patch;
+ if(pass == LARGER_PATCH) {
+ /* and the neighbors */
+ std::vector<MElement *> quadsPlus = quads;
+ append(quadsPlus, getNeighbors(quads, adj));
+ bool okp = patchFromElements(gf, quadsPlus, patch);
+ if(!okp) continue;
+ }
+ else {
+ bool okp = patchFromElements(gf, quads, patch);
+ if(!okp) continue;
+ }
+ if(patch.bdrVertices.size() != 1) {
+ Msg::Debug("patch has %li bdr loops, weird", patch.bdrVertices.size());
+ continue;
+ }
+ if (patch.embVertices.size() > 0) {
+ Msg::Debug("patch has %li embedded vertices loops, avoid", patch.embVertices.size());
+ continue;
+ }
+
+ std::vector<int> bndIdealValence;
+ std::vector<std::pair<int, int> > bndAllowedValenceRange;
+ const int dimCorner = 0;
+ bool okb = getBoundaryIdealAndAllowedValences(dimCorner, patch, adj,
+ qValIdeal, bndIdealValence,
+ bndAllowedValenceRange);
+ if(!okb) continue;
+
+ GFaceMeshDiff diff;
+ std::vector<MElement *> neighborsForGeometry =
+ getNeighbors(patch.elements, adj);
+ double minSICNafer = 0.1;
+ int sdq = remeshLocalWithDiskQuadrangulation(
+ gf, patch.elements, patch.intVertices, patch.bdrVertices.front(),
+ bndIdealValence, bndAllowedValenceRange, neighborsForGeometry,
+ minSICNafer, opt.invertNormalsForQuality, opt.sp, diff);
+ if(sdq == 0) {
+ /* Copy the pointers to update the adjacencies in case success */
+ GFaceMeshPatch patchBefore = diff.before;
+ GFaceMeshPatch patchAfter = diff.after;
+
+ /* Execute the diff on the mesh */
+ bool ok = diff.execute(true); /* warning: GFace mesh changes here */
+ if(ok) {
+ updateAdjacencies(patchBefore, patchAfter, adj);
+ append(smoothingPool, patchBefore.intVertices);
+ append(smoothingPool, patchBefore.bdrVertices.front());
+ stats.nCornerValFixed += 1;
+ }
+ else {
+ Msg::Error("failed to apply diff, abort");
+ abort();
+ }
+ Msg::Debug("-- corner %li fixed", num);
+ }
+ else {
+ Msg::Debug("-- failed to fix corner %li", num);
+ }
+ }
+ }
+
+ if(smoothingPool.size() > 0)
+ smoothThePool(gf, smoothingPool, adj, opt.invertNormalsForQuality, opt.sp);
+
+ /* Remaining cases, just for stats */
+ for(const auto &kv : cornerAndIdeal) {
+ MVertex *v = kv.first;
+ GVertex *gv = dynamic_cast<GVertex *>(v->onWhat());
+ if(gv == nullptr) continue;
+ auto it = adj.find(v);
+ if(it == adj.end()) continue;
+ const std::vector<MElement *> &quads = it->second;
+ double ideal = kv.second;
+ size_t ival = (size_t)clamp(std::round(ideal), 1., 4.);
+ if(ival == quads.size()) continue;
+ stats.nCornerValRemaining += 1;
+ }
+
+ return 0;
+}
+
+int improveCurveValences(
+ GFace *gf,
+ const unordered_map<MVertex *, double>
+ &qValIdeal, /* valence on bdr vertices */
+ unordered_map<MVertex *, std::vector<MElement *> > &adj, DQOptions &opt,
+ DQStats &stats)
+{
+ Msg::Debug("- Face %i: improve curve valences", gf->tag());
+ std::vector<MVertex *>
+ smoothingPool; /* for smoothing after topological changes */
+ smoothingPool.reserve(gf->mesh_vertices.size());
+
+ /* qValIdeal is unordered_map and its ordering is random, we replace
+ * it with a deterministic ordering, containing only the corners */
+ std::vector<std::pair<MVertex *, double> > curveVertexAndIdeal;
+ curveVertexAndIdeal.reserve(qValIdeal.size());
+ for(auto &kv : qValIdeal) {
+ MVertex *v = kv.first;
+ GEdge *ge = dynamic_cast<GEdge *>(v->onWhat());
+ if(ge != nullptr) { curveVertexAndIdeal.push_back({kv.first, kv.second}); }
+ }
+ std::sort(curveVertexAndIdeal.begin(), curveVertexAndIdeal.end(),
+ [](const std::pair<MVertex *, double> &lhs,
+ const std::pair<MVertex *, double> &rhs) {
+ return lhs.second < rhs.second ||
+ (lhs.second == rhs.second &&
+ lhs.first->getNum() < rhs.first->getNum());
+ });
+
+ for(const auto &kv : curveVertexAndIdeal) {
+ MVertex *v = kv.first;
+ GEdge *ge = dynamic_cast<GEdge *>(v->onWhat());
+ if(ge == nullptr) continue;
+ auto it = adj.find(v);
+ if(it == adj.end()) continue;
+ const std::vector<MElement *> &quads = it->second;
+ double ideal = kv.second;
+ size_t ival = (size_t)clamp(std::round(ideal), 1., 4.);
+ if(ival == quads.size()) continue;
+ size_t num = v->getNum();
+
+ /* From here, we try to change the local configuration */
+ Msg::Debug("- Face %i: try to fix curve vertex %li, val %li instead of %li",
+ gf->tag(), v->getNum(), it->second.size(), ival);
+
+ /* Init patch with quads adjacent to corner */
+ GFaceMeshPatch patch;
+ bool okp = patchFromElements(gf, quads, patch);
+ if(!okp) continue;
+ if(patch.bdrVertices.size() != 1) {
+ Msg::Debug("patch has %li bdr loops, weird", patch.bdrVertices.size());
+ continue;
+ }
+ if (patch.embVertices.size() > 0) {
+ Msg::Debug("patch has %li embedded vertices loops, avoid", patch.embVertices.size());
+ continue;
+ }
+
+ std::vector<int> bndIdealValence;
+ std::vector<std::pair<int, int> > bndAllowedValenceRange;
+ const int dimCurve = 1;
+ bool okb = getBoundaryIdealAndAllowedValences(
+ dimCurve, patch, adj, qValIdeal, bndIdealValence, bndAllowedValenceRange);
+ if(!okb) continue;
+
+ GFaceMeshDiff diff;
+ std::vector<MElement *> neighborsForGeometry =
+ getNeighbors(patch.elements, adj);
+ double minSICNafer = 0.1;
+ int sdq = remeshLocalWithDiskQuadrangulation(
+ gf, patch.elements, patch.intVertices, patch.bdrVertices.front(),
+ bndIdealValence, bndAllowedValenceRange, neighborsForGeometry,
+ minSICNafer, opt.invertNormalsForQuality, opt.sp, diff);
+ if(sdq == 0) {
+ /* Copy the pointers to update the adjacencies in case success */
+ GFaceMeshPatch patchBefore = diff.before;
+ GFaceMeshPatch patchAfter = diff.after;
+
+ /* Execute the diff on the mesh */
+ bool ok = diff.execute(true); /* warning: GFace mesh changes here */
+ if(ok) {
+ updateAdjacencies(patchBefore, patchAfter, adj);
+ append(smoothingPool, patchBefore.intVertices);
+ append(smoothingPool, patchBefore.bdrVertices.front());
+ stats.nCurveValFixed += 1;
+
+ if(PARANO_QUALITY) {
+ errorAndAbortIfNegativeElement(
+ gf, dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ "after execute");
+ }
+ }
+ else {
+ Msg::Error("failed to apply diff, abort");
+ abort();
+ }
+ Msg::Debug("-- curve vertex %li fixed", num);
+ }
+ else {
+ Msg::Debug("-- failed to fix curve vertex %li", num);
+
+ if(PARANO_QUALITY) {
+ errorAndAbortIfNegativeElement(
+ gf, dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ "after failed to fix, baaad");
+ }
+ }
+ }
+
+ if(PARANO_QUALITY) {
+ errorAndAbortIfNegativeElement(
+ gf, dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ "before pool");
+ }
+
+ if(smoothingPool.size() > 0)
+ smoothThePool(gf, smoothingPool, adj, opt.invertNormalsForQuality, opt.sp);
+
+ if(PARANO_QUALITY) {
+ errorAndAbortIfNegativeElement(
+ gf, dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ "after pool");
+ }
+
+ /* Remaining cases, just for stats */
+ for(const auto &kv : curveVertexAndIdeal) {
+ MVertex *v = kv.first;
+ GEdge *ge = dynamic_cast<GEdge *>(v->onWhat());
+ if(ge == nullptr) continue;
+ auto it = adj.find(v);
+ if(it == adj.end()) continue;
+ const std::vector<MElement *> &quads = it->second;
+ double ideal = kv.second;
+ size_t ival = (size_t)clamp(std::round(ideal), 1., 4.);
+ if(ival == quads.size()) continue;
+ stats.nCurveValRemaining += 1;
+ }
+
+ return 0;
+}
+
+double irregularityEnergy(
+ const GFaceMeshPatch &patch,
+ const unordered_map<MVertex *, double> &qValIdeal,
+ const unordered_map<MVertex *, std::vector<MElement *> > &adj)
+{
+ double Ir = 0.;
+ /* Boundary vertices */
+ for(MVertex *v : patch.bdrVertices.front()) {
+ double valIdeal = 4.;
+ auto it = qValIdeal.find(v);
+ if(it != qValIdeal.end()) { valIdeal = it->second; }
+ auto it2 = adj.find(v);
+ if(it2 == adj.end()) { continue; }
+ valIdeal = clamp(std::round(valIdeal), 1., 4.);
+
+ double val = (double)it2->second.size();
+ Ir += std::pow(valIdeal - val, 2);
+ }
+ /* Interior vertices */
+ for(MVertex *v : patch.intVertices) {
+ double valIdeal = 4.;
+ auto it2 = adj.find(v);
+ if(it2 == adj.end()) { continue; }
+ valIdeal = clamp(std::round(valIdeal), 1., 4.);
+ double val = (double)it2->second.size();
+ Ir += std::pow(valIdeal - val, 2);
+ }
+ return Ir;
+}
+
+double irregularityEnergy(
+ GFace *gf, const std::vector<MElement *> &quads,
+ const unordered_map<MVertex *, double> &qValIdeal,
+ const unordered_map<MVertex *, std::vector<MElement *> > &adj)
+{
+ GFaceMeshPatch patch;
+ bool okp = patchFromElements(gf, quads, patch);
+ if(!okp) return 0.;
+ return irregularityEnergy(patch, qValIdeal, adj);
+}
+
+int improveInteriorValences(
+ GFace *gf,
+ const unordered_map<MVertex *, double>
+ &qValIdeal, /* valence on bdr vertices */
+ unordered_map<MVertex *, std::vector<MElement *> > &adj, DQOptions &opt,
+ DQStats &stats)
+{
+ Msg::Debug("- Face %i: improve interior valences", gf->tag());
+
+ std::vector<MVertex *>
+ smoothingPool; /* for smoothing after topological changes */
+ smoothingPool.reserve(gf->mesh_vertices.size());
+
+ /* Priority queue */
+ std::priority_queue<std::pair<double, MVertex *>,
+ std::vector<std::pair<double, MVertex *> > >
+ Q;
+
+ /* Initialize with all very irregular vertices of the face */
+ for(const auto &kv : adj) {
+ MVertex *v = kv.first;
+ GFace *gf = dynamic_cast<GFace *>(v->onWhat());
+ if(gf == nullptr) continue;
+ auto it = adj.find(v);
+ if(it == adj.end()) continue;
+ const std::vector<MElement *> &quads = it->second;
+ const size_t val = quads.size();
+ if(3 <= val && val <= 5) continue;
+
+ /* Build patch with quads adjacent to very irregular vertex */
+ GFaceMeshPatch patch;
+ bool okp = patchFromElements(gf, quads, patch);
+ if(!okp || patch.bdrVertices.size() != 1) continue;
+
+ if (patch.embVertices.size() > 0) {
+ Msg::Debug("patch has %li embedded vertices loops, avoid", patch.embVertices.size());
+ continue;
+ }
+
+ double Ir = irregularityEnergy(gf, quads, qValIdeal, adj);
+ if(Ir > 0.) Q.push({Ir, v});
+ }
+
+ /* Topological replacement loop */
+ while(Q.size() > 0) {
+ MVertex *v = Q.top().second;
+ Q.pop();
+
+ auto it = adj.find(v);
+ /* Check if vertex still exists, may have been removed */
+ if(it == adj.end()) continue;
+ const std::vector<MElement *> &quads = it->second;
+ size_t num = v->getNum();
+
+ /* Build patch with quads adjacent to very irregular vertex */
+ GFaceMeshPatch patch;
+ bool okp = patchFromElements(gf, quads, patch);
+ if(!okp || patch.bdrVertices.size() != 1) continue;
+
+ /* Get ideal and allowed ranges on the patch boundary */
+ std::vector<int> bndIdealValence;
+ std::vector<std::pair<int, int> > bndAllowedValenceRange;
+ const int dimCurve = 2;
+ bool okb = getBoundaryIdealAndAllowedValences(
+ dimCurve, patch, adj, qValIdeal, bndIdealValence, bndAllowedValenceRange);
+ if(!okb) continue;
+
+ /* Check if there is a valid disk remeshing */
+ GFaceMeshDiff diff;
+ std::vector<MElement *> neighborsForGeometry =
+ getNeighbors(patch.elements, adj);
+ double minSICNafer = 0.1;
+ int sdq = remeshLocalWithDiskQuadrangulation(
+ gf, patch.elements, patch.intVertices, patch.bdrVertices.front(),
+ bndIdealValence, bndAllowedValenceRange, neighborsForGeometry,
+ minSICNafer, opt.invertNormalsForQuality, opt.sp, diff);
+ if(sdq == 0) {
+ /* Copy the pointers to update the adjacencies in case success */
+ GFaceMeshPatch patchBefore = diff.before;
+ GFaceMeshPatch patchAfter = diff.after;
+
+ // GeoLog::add(patchBefore.elements, "-I_v"+std::to_string(v->getNum()));
+ // GeoLog::add(patchAfter.elements, "+I_v"+std::to_string(v->getNum()));
+
+ /* Execute the diff on the mesh */
+ bool ok = diff.execute(true); /* warning: GFace mesh changes here */
+ if(ok) {
+ updateAdjacencies(patchBefore, patchAfter, adj);
+ append(smoothingPool, patchBefore.intVertices);
+ append(smoothingPool, patchBefore.bdrVertices.front());
+ stats.nSurfaceValFixed += 1;
+
+ /* If new very irregular vertices have been created,
+ * add them to the queue */
+ for(MVertex *bv : patchAfter.bdrVertices.front()) {
+ auto it2 = adj.find(bv);
+ if(it2 == adj.end()) continue;
+ const std::vector<MElement *> &quads2 = it2->second;
+ if(quads2.size() > 5) {
+ double Ir2 = irregularityEnergy(gf, quads2, qValIdeal, adj);
+ if(Ir2 > 0) Q.push({Ir2, bv});
+ }
+ }
+ }
+ else {
+ Msg::Error("failed to apply diff, abort");
+ abort();
+ }
+ Msg::Debug("-- interior vertex %li fixed", num);
+ }
+ else {
+ Msg::Debug("-- failed to fix interior vertex %li", num);
+ // GeoLog::add(quads, "!I_v"+std::to_string(v->getNum()));
+ }
+ }
+ // GeoLog::flush();
+
+ if(smoothingPool.size() > 0)
+ smoothThePool(gf, smoothingPool, adj, opt.invertNormalsForQuality, opt.sp);
+
+ /* Remaining cases, just for stats */
+ for(const auto &kv : adj) {
+ MVertex *v = kv.first;
+ GFace *gf = dynamic_cast<GFace *>(v->onWhat());
+ if(gf == nullptr) continue;
+ auto it = adj.find(v);
+ if(it == adj.end()) continue;
+ const std::vector<MElement *> &quads = it->second;
+ const size_t val = quads.size();
+ if(3 <= val && val <= 5) continue;
+ stats.nSurfaceValRemaining += 1;
+ }
+
+ return 0;
+}
+
+int RefineMeshWithBackgroundMeshProjection(GModel *gm)
+{
+ const bool SHOW_INTERMEDIATE_VIEWS = (Msg::GetVerbosity() >= 99);
+
+ const bool SHOW_QUADTRI = SHOW_INTERMEDIATE_VIEWS;
+ if(SHOW_QUADTRI) {
+ std::vector<MElement *> elements;
+ for(GFace *gf : model_faces(gm)) {
+ append(elements,
+ dynamic_cast_vector<MTriangle *, MElement *>(gf->triangles));
+ append(elements,
+ dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles));
+ // showUVParametrization(gf,dynamic_cast_vector<MTriangle*,MElement*>(gf->triangles),"quadtri_uvs");
+ // showUVParametrization(gf,dynamic_cast_vector<MQuadrangle*,MElement*>(gf->quadrangles),"quadtri_uvs");
+ }
+ GeoLog::add(elements, "qqs_quadtri");
+ GeoLog::flush();
+ }
+
+ Msg::Info(
+ "Refine mesh (midpoint subdivision, with background projection) ...");
+
+ bool linear = true;
+ RefineMesh(gm, linear, true, false);
+
+ if(Msg::GetVerbosity() >= 99) {
+ std::unordered_map<std::string, double> stats;
+ appendQuadMeshStatistics(gm, stats, "MPS_");
+ printStatistics(stats, "Quad mesh after subdivision, before projection:");
+ }
+
+ GlobalBackgroundMesh *bmesh = nullptr;
+ if(backgroudMeshExists(BMESH_NAME)) {
+ bmesh = &(getBackgroundMesh(BMESH_NAME));
+ }
+ else {
+ Msg::Warning("refine mesh with background projection: no background mesh, "
+ "using CAD projection (slow)");
+ }
+
+ std::vector<GEdge *> edges = model_edges(gm);
+
+ /* Build custom edgeToFaces because ge->faces() does not work
+ * for embedded edges */
+ std::unordered_map<GEdge*,std::unordered_set<GFace*> > edgeToFaces;
+ for (GFace* gf: model_faces(gm)) {
+ std::vector<GEdge*> fedges = face_edges(gf);
+ for (GEdge* ge: fedges) edgeToFaces[ge].insert(gf);
+ }
+
+#if defined(_OPENMP)
+#pragma omp parallel for schedule(dynamic)
+#endif
+ for(size_t e = 0; e < edges.size(); ++e) {
+ GEdge *ge = edges[e];
+ if(CTX::instance()->mesh.meshOnlyVisible && !ge->getVisibility()) continue;
+ if(ge->lines.size() == 0 || ge->mesh_vertices.size() == 0) continue;
+
+ Msg::Debug("- Curve %i: project midpoints on curve", ge->tag());
+ unordered_map<MVertex *, MVertex *> old2new_ge;
+ unordered_map<MVertex *, SPoint3> backupPositionLinear;
+ double tPrev = 0;
+ for(size_t i = 0; i < ge->mesh_vertices.size(); ++i) {
+ MVertex *v = ge->mesh_vertices[i];
+ MEdgeVertex *mev = dynamic_cast<MEdgeVertex *>(v);
+ if(mev == nullptr) {
+ double t = tPrev;
+ GPoint proj = ge->closestPoint(v->point(), t);
+ if(proj.succeeded()) {
+ /* Need to change the type of the MVertex */
+ MVertex *v2 =
+ new MEdgeVertex(proj.x(), proj.y(), proj.z(), ge, proj.u());
+ tPrev = proj.u();
+ ge->mesh_vertices[i] = v2;
+ old2new_ge[v] = v2;
+ backupPositionLinear[v2] = v->point();
+ delete v;
+ }
+ else {
+ Msg::Warning("- Edge %i, vertex %li: curve projection failed",
+ ge->tag(), v->getNum());
+ MVertex *v2 = new MEdgeVertex(v->point().x(), v->point().y(),
+ v->point().z(), ge, tPrev);
+ ge->mesh_vertices[i] = v2;
+ old2new_ge[v] = v2;
+ backupPositionLinear[v2] = v->point();
+ delete v;
+ }
+ tPrev = t;
+ }
+ }
+
+ bool qualityOk = true;
+
+ /* Update Lines */
+ for(MLine *l : ge->lines)
+ for(size_t lv = 0; lv < 2; ++lv) {
+ MVertex *v = l->getVertex(lv);
+ auto it = old2new_ge.find(v);
+ if(it != old2new_ge.end()) { l->setVertex(lv, it->second); }
+ }
+
+ /* Update adjacent faces */
+ for(GFace *gf : edgeToFaces[ge]) {
+ for(size_t i = 0; i < gf->getNumMeshElements(); ++i) {
+ MElement *e = gf->getMeshElement(i);
+ for(size_t lv = 0; lv < e->getNumVertices(); ++lv) {
+ MVertex *v = e->getVertex(lv);
+ auto it = old2new_ge.find(v);
+ if(it != old2new_ge.end()) { e->setVertex(lv, it->second); }
+ }
+ }
+
+ /* Check quality of quads */
+ if(gf->quadrangles.size() > 0) {
+ double sicnMin, sicnAvg;
+ computeSICN(
+ dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ sicnMin, sicnAvg);
+ if(sicnMin < 0.) {
+ Msg::Warning("- refine with projection: quality negative (%.3f) on "
+ "face %i after curve %i projection, rollback",
+ sicnMin, gf->tag(), ge->tag());
+ qualityOk = false;
+ }
+ }
+ }
+
+ if(!qualityOk) { /* restore positions on the curve */
+ for(auto &kv : backupPositionLinear) { kv.first->setXYZ(kv.second); }
+ }
+ if(PARANO_VALIDITY) {
+ errorAndAbortIfInvalidVertexInElements(
+ dynamic_cast_vector<MLine *, MElement *>(ge->lines),
+ "after curve proj");
+ }
+ }
+
+ std::vector<GFace *> faces = model_faces(gm);
+#if defined(_OPENMP)
+#pragma omp parallel for schedule(dynamic)
+#endif
+ for(size_t f = 0; f < faces.size(); ++f) {
+ GFace *gf = faces[f];
+ if(CTX::instance()->mesh.meshOnlyVisible && !gf->getVisibility()) continue;
+ if(CTX::instance()->debugSurface > 0 &&
+ gf->tag() != CTX::instance()->debugSurface)
+ continue;
+ if(gf->triangles.size() == 0 && gf->quadrangles.size() == 0) continue;
+
+ SurfaceProjector *sp = nullptr;
+ if(bmesh) {
+ auto it = bmesh->faceBackgroundMeshes.find(gf);
+ if(it == bmesh->faceBackgroundMeshes.end()) {
+ Msg::Error("background mesh not found for face %i", gf->tag());
+ continue;
+ }
+
+ /* Get pointers to triangles in the background mesh */
+ std::vector<MTriangle *> triangles(it->second.triangles.size());
+ for(size_t i = 0; i < it->second.triangles.size(); ++i) {
+ triangles[i] = &(it->second.triangles[i]);
+ }
+
+ sp = new SurfaceProjector();
+ bool oki = sp->initialize(gf, triangles);
+ if(!oki) {
+ Msg::Warning("failed to initialize surface projector");
+ delete sp;
+ sp = nullptr;
+ }
+ }
+
+ /* Project the vertices which have been introduced by the RefineMesh */
+ Msg::Debug("- Face %i: project midpoints on surface", gf->tag());
+ bool evalOnCAD = gf->haveParametrization();
+ bool projOnCad = false;
+ if(evalOnCAD && !haveNiceParametrization(gf)) {
+ /* Strong disortion in parametrization, use projection */
+ evalOnCAD = false;
+ projOnCad = true;
+ }
+
+ if(Msg::GetVerbosity() >= 999) {
+ /* In some models (S9 from MAMBO) and with some resolution (clscale 0.1),
+ * there is this issue of vertex on wrong face ...
+ * I guess this is because the CAD is garbage (duplicated corners,
+ * degenerate edges) */
+ Msg::Debug("- Face %i, verify vertices before ...", gf->tag());
+ for(size_t i = 0; i < gf->getNumMeshElements(); ++i) {
+ MElement *e = gf->getMeshElement(i);
+ for(size_t lv = 0; lv < e->getNumVertices(); ++lv) {
+ MVertex *v = e->getVertex(lv);
+ if(v->onWhat()->cast2Face() && v->onWhat() != gf) {
+ Msg::Error(
+ "- Face %i: element vertex %li is associated to entity (%i,%i)",
+ gf->tag(), v->getNum(), v->onWhat()->dim(), v->onWhat()->tag());
+ abort();
+ }
+ }
+ }
+ }
+
+ unordered_map<MVertex *, MVertex *> old2new_gf;
+ unordered_map<MVertex *, SPoint3> backupPositionLinear;
+
+ for(size_t i = 0; i < gf->mesh_vertices.size(); ++i) {
+ MVertex *v = gf->mesh_vertices[i];
+ if(v->onWhat() != gf) {
+ Msg::Error("- Face %i: vertex %li is associated to entity (%i,%i)",
+ gf->tag(), v->getNum(), v->onWhat()->dim(),
+ v->onWhat()->tag());
+ abort();
+ }
+ MFaceVertex *mfv = dynamic_cast<MFaceVertex *>(v);
+ if(mfv == nullptr) {
+ GPoint proj;
+ if(sp != nullptr) {
+ proj = sp->closestPoint(v->point().data(), evalOnCAD, projOnCad);
+
+ if(!proj.succeeded() && gf->haveParametrization()) {
+ double uvg[2] = {0., 0.};
+ proj = gf->closestPoint(v->point(), uvg);
+ }
+ }
+ else {
+ double uvg[2] = {0., 0.};
+ proj = gf->closestPoint(v->point(), uvg);
+ }
+ if(proj.succeeded()) {
+ /* Need to change the type of the MVertex */
+ MVertex *v2 = new MFaceVertex(proj.x(), proj.y(), proj.z(), gf,
+ proj.u(), proj.v());
+ gf->mesh_vertices[i] = v2;
+ backupPositionLinear[v2] = v->point();
+ old2new_gf[v] = v2;
+ delete v;
+ }
+ else {
+ MVertex *v2 = new MFaceVertex(v->point().x(), v->point().y(),
+ v->point().z(), gf, 0., 0.);
+ gf->mesh_vertices[i] = v2;
+ backupPositionLinear[v2] = v->point();
+ old2new_gf[v] = v2;
+ delete v;
+ Msg::Warning("- Face %i, vertex %li: surface projection failed",
+ gf->tag(), v->getNum());
+ }
+ }
+ }
+
+ /* Update elements */
+ for(size_t i = 0; i < gf->getNumMeshElements(); ++i) {
+ MElement *e = gf->getMeshElement(i);
+ for(size_t lv = 0; lv < e->getNumVertices(); ++lv) {
+ MVertex *v = e->getVertex(lv);
+ auto it2 = old2new_gf.find(v);
+ if(it2 != old2new_gf.end()) { e->setVertex(lv, it2->second); }
+ }
+ }
+
+ if(Msg::GetVerbosity() >= 99) {
+ Msg::Debug("- Face %i, verify vertices ...", gf->tag());
+ for(size_t i = 0; i < gf->getNumMeshElements(); ++i) {
+ MElement *e = gf->getMeshElement(i);
+ for(size_t lv = 0; lv < e->getNumVertices(); ++lv) {
+ MVertex *v = e->getVertex(lv);
+ if(v->onWhat()->cast2Edge()) {
+ MEdgeVertex *mev = dynamic_cast<MEdgeVertex *>(v);
+ if(mev == nullptr) {
+ Msg::Error("vertex attached to curve %i but not MEdgeVertex",
+ v->onWhat()->cast2Edge()->tag());
+ abort();
+ }
+ }
+ else if(v->onWhat()->cast2Face()) {
+ MFaceVertex *mfv = dynamic_cast<MFaceVertex *>(v);
+ if(mfv == nullptr) {
+ Msg::Error("vertex attached to face %i but not MFaceVertex",
+ v->onWhat()->cast2Face()->tag());
+ abort();
+ }
+ }
+ else if(v->onWhat()->cast2Vertex()) {
+ }
+ else {
+ Msg::Error("vertex not attach to a CAD entity");
+ }
+ }
+ }
+ }
+
+ /* Check quality of quads */
+ if(gf->quadrangles.size() > 0) {
+ bool qualityOk = true;
+ double sicnMin, sicnAvg;
+ computeSICN(
+ dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ sicnMin, sicnAvg);
+ if(sicnMin < 0.) {
+ Msg::Warning("- refine with projection: quality negative (%.3f) on "
+ "face %i after projection, rollback",
+ sicnMin, gf->tag());
+ qualityOk = false;
+ }
+ if(!qualityOk) {
+ for(auto &kv : backupPositionLinear) { kv.first->setXYZ(kv.second); }
+ }
+ }
+
+ /* Smooth geometry (quick) */
+ if(sp != nullptr) {
+ double timeMax = 0.3;
+ optimizeGeometryQuadMesh(gf, sp, timeMax);
+ }
+
+ if(sp != nullptr) delete sp;
+
+ if(PARANO_VALIDITY) {
+ errorAndAbortIfInvalidVertexInElements(
+ dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ "after surf proj");
+ }
+ }
+
+ const bool SHOW_QUADINIT = SHOW_INTERMEDIATE_VIEWS;
+ if(SHOW_QUADINIT) {
+ std::vector<MElement *> elements;
+ for(GFace *gf : model_faces(gm)) {
+ append(elements,
+ dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles));
+ // showUVParametrization(gf,dynamic_cast_vector<MQuadrangle*,MElement*>(gf->quadrangles),"quad_uvs");
+ }
+ GeoLog::add(elements, "qqs_quadinit");
+ GeoLog::flush();
+ }
+
+ if(true || Msg::GetVerbosity() >= 99) {
+ std::unordered_map<std::string, double> stats;
+ appendQuadMeshStatistics(gm, stats, "Mesh_");
+ printStatistics(
+ stats, "Quad mesh after subdivision, projection and small smoothing:");
+ }
+
+ if(PARANO_VALIDITY) {
+ errorAndAbortIfInvalidVertexInModel(gm, "after refine + proj");
+ }
+
+ return 0;
+}
+
+int optimizeQuadMeshWithDiskQuadrangulationRemeshing(GFace *gf)
+{
+ if(gf->triangles.size() > 0 || gf->quadrangles.size() == 0) return -1;
+
+ // Disk quadrangulation remeshing use the CAD normals to compute the signed
+ // quality, so the orientation is important.
+ bool invertNormals = meshOrientationIsOppositeOfCadOrientation(gf);
+
+ /* For each bdr vertex, compute the ideal valence (based on angle viewed from
+ * the face) */
+ unordered_map<MVertex *, double> qValIdeal;
+ computeBdrVertexIdealValence(gf->quadrangles, qValIdeal);
+
+ /* Vertex to quads */
+ unordered_map<MVertex *, std::vector<MElement *> > adj;
+ for(MQuadrangle *f : gf->quadrangles)
+ for(size_t lv = 0; lv < 4; ++lv) {
+ MVertex *v = f->getVertex(lv);
+ adj[v].push_back(f);
+ }
+
+ DQStats stats;
+ DQOptions opt;
+ opt.invertNormalsForQuality = invertNormals;
+ bool alwaysBuildSurfaceProjector = true;
+ if(alwaysBuildSurfaceProjector || !haveNiceParametrization(gf) ||
+ (gf->periodic(0) || gf->periodic(1))) {
+ opt.sp = new SurfaceProjector();
+ bool okf = fillSurfaceProjector(gf, opt.sp);
+ if(!okf) {
+ Msg::Error("- Face %i: failed to get a surface projector", gf->tag());
+ return false;
+ }
+ }
+
+ double t1 = Cpu();
+
+ int sc = improveCornerValences(gf, qValIdeal, adj, opt, stats);
+ if(sc != 0) {
+ Msg::Warning("optimize quad topology: failed to improve corner valences");
+ }
+ if(PARANO_QUALITY) {
+ errorAndAbortIfNegativeElement(
+ gf, dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ "after corner");
+ }
+
+ int scu = improveCurveValences(gf, qValIdeal, adj, opt, stats);
+ if(scu != 0) {
+ Msg::Warning("optimize quad topology: failed to improve curve valences");
+ }
+ if(PARANO_QUALITY) {
+ errorAndAbortIfNegativeElement(
+ gf, dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ "after curve");
+ }
+
+ int sci = improveInteriorValences(gf, qValIdeal, adj, opt, stats);
+ if(sci != 0) {
+ Msg::Warning("optimize quad topology: failed to improve interior valences");
+ }
+ if(PARANO_QUALITY) {
+ errorAndAbortIfNegativeElement(
+ gf, dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ "after interior");
+ }
+
+ /* Smooth geometry (quick) */
+ double timeMax = 0.3;
+ optimizeGeometryQuadMesh(gf, opt.sp, timeMax);
+
+ if(opt.sp) {
+ delete opt.sp;
+ opt.sp = nullptr;
+ }
+
+ double t2 = Cpu();
+
+ Msg::Info("- Face %i: disk quadrangulation remeshing, improved valence on "
+ "%li/%li/%li corner/curve/surface vertices (in %.3f sec), "
+ "remaining non-ideal: %li/%li/%li",
+ gf->tag(), stats.nCornerValFixed, stats.nCurveValFixed,
+ stats.nSurfaceValFixed, t2 - t1, stats.nCornerValRemaining,
+ stats.nCurveValRemaining, stats.nSurfaceValRemaining);
+
+ if(PARANO_QUALITY) {
+ errorAndAbortIfNegativeElement(
+ gf, dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ "after geom optim");
+ }
+
+ return 0;
+}
+
+int quadMeshingOfSimpleFacesWithPatterns(GModel *gm,
+ double minimumQualityRequired)
+{
+ if (CTX::instance()->mesh.quadqsTopoOptimMethods != 0
+ && CTX::instance()->mesh.quadqsTopoOptimMethods != 100
+ && CTX::instance()->mesh.quadqsTopoOptimMethods != 101
+ && CTX::instance()->mesh.quadqsTopoOptimMethods != 110
+ && CTX::instance()->mesh.quadqsTopoOptimMethods != 111
+ ) {
+ Msg::Debug("optimize topology of simple CAD faces with patterns: avoided because quadqsTopoOptimMethods = %i",
+ CTX::instance()->mesh.quadqsTopoOptimMethods);
+ return 0;
+ }
+
+
+ std::vector<GFace *> faces = model_faces(gm);
+ Msg::Info("Pattern-based quad meshing of simple CAD faces ...", faces.size());
+
+ initQuadPatterns();
+
+#if defined(_OPENMP)
+#pragma omp parallel for schedule(dynamic)
+#endif
+ for(size_t f = 0; f < faces.size(); ++f) {
+ GFace *gf = faces[f];
+ if(gf->meshStatistics.status != GFace::PENDING) continue;
+ if(CTX::instance()->mesh.meshOnlyVisible && !gf->getVisibility()) continue;
+ if(CTX::instance()->debugSurface > 0 &&
+ gf->tag() != CTX::instance()->debugSurface)
+ continue;
+ if(gf->triangles.size() > 0 || gf->quadrangles.size() == 0) continue;
+ if(gf->embeddedEdges().size() > 0 || gf->embeddedVertices().size() > 0) continue;
+
+ bool invertNormals = meshOrientationIsOppositeOfCadOrientation(gf);
+ meshFaceWithGlobalPattern(gf, invertNormals, minimumQualityRequired);
+
+ if(PARANO_VALIDITY) {
+ errorAndAbortIfInvalidVertexInElements(
+ dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ "after face pattern meshing");
+ }
+ }
+
+ std::unordered_map<std::string, double> stats;
+ appendQuadMeshStatistics(gm, stats, "Mesh_");
+ printStatistics(stats,
+ "Quad mesh after simple face pattern-based remeshing:");
+
+ if(PARANO_VALIDITY) {
+ errorAndAbortIfInvalidVertexInModel(
+ gm, "global check after face pattern meshing");
+ }
+
+ return 0;
+}
+
+int optimizeTopologyWithDiskQuadrangulationRemeshing(GModel *gm)
+{
+ if (CTX::instance()->mesh.quadqsTopoOptimMethods != 0
+ && CTX::instance()->mesh.quadqsTopoOptimMethods != 10
+ && CTX::instance()->mesh.quadqsTopoOptimMethods != 11
+ && CTX::instance()->mesh.quadqsTopoOptimMethods != 110
+ && CTX::instance()->mesh.quadqsTopoOptimMethods != 111
+ ) {
+ Msg::Debug("optimize topology with disk quadrangulation remeshing: avoided because quadqsTopoOptimMethods = %i",
+ CTX::instance()->mesh.quadqsTopoOptimMethods);
+ return 0;
+ }
+
+ Msg::Info(
+ "Optimize topology of quad meshes with disk quadrangulation remeshing ...");
+
+ initDiskQuadrangulations();
+
+ std::vector<GFace *> faces = model_faces(gm);
+
+#if defined(_OPENMP)
+#pragma omp parallel for schedule(dynamic)
+#endif
+ for(size_t f = 0; f < faces.size(); ++f) {
+ GFace *gf = faces[f];
+ if(gf->meshStatistics.status != GFace::PENDING) continue;
+ if(CTX::instance()->mesh.meshOnlyVisible && !gf->getVisibility()) continue;
+ if(CTX::instance()->debugSurface > 0 &&
+ gf->tag() != CTX::instance()->debugSurface)
+ continue;
+ if(gf->triangles.size() > 0 || gf->quadrangles.size() == 0) continue;
+
+ optimizeQuadMeshWithDiskQuadrangulationRemeshing(gf);
+
+ if(PARANO_VALIDITY) {
+ errorAndAbortIfInvalidVertexInElements(
+ dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ "after disk quadrangulation remeshing");
+ }
+ }
+
+ std::unordered_map<std::string, double> stats;
+ appendQuadMeshStatistics(gm, stats, "Mesh_");
+ printStatistics(stats, "Quad mesh after disk quadrangulation remeshing:");
+
+ if(stats["Mesh_SICN_min"] < 0.) {
+ Msg::Warning("negative quality on some quads");
+ }
+
+ if(PARANO_VALIDITY) {
+ errorAndAbortIfInvalidVertexInModel(
+ gm, "global check after disk quadrangulation remeshing");
+ }
+
+ return 0;
+}
+
+int optimizeTopologyWithCavityRemeshing(GModel *gm)
+{
+ if (CTX::instance()->mesh.quadqsTopoOptimMethods != 0
+ && CTX::instance()->mesh.quadqsTopoOptimMethods != 1
+ && CTX::instance()->mesh.quadqsTopoOptimMethods != 11
+ && CTX::instance()->mesh.quadqsTopoOptimMethods != 101
+ && CTX::instance()->mesh.quadqsTopoOptimMethods != 111
+ ) {
+ Msg::Debug("optimize topology with cavity remeshing: avoided because quadqsTopoOptimMethods = %i",
+ CTX::instance()->mesh.quadqsTopoOptimMethods);
+ return 0;
+ }
+
+ std::vector<GFace *> faces = model_faces(gm);
+ Msg::Info(
+ "Optimize topology of quad meshes with cavity remeshing (%li faces) ...",
+ faces.size());
+
+ initQuadPatterns();
+
+ if (!backgroudMeshExists(BMESH_NAME)) {
+ Msg::Info("no background mesh, creating one with the current quad mesh");
+ GlobalBackgroundMesh &bmesh = getBackgroundMesh(BMESH_NAME);
+ int status = bmesh.importGModelMeshes(gm, true);
+ if(status != 0) {
+ Msg::Error("failed to import model mesh in background mesh");
+ return -1;
+ }
+ }
+
+#if defined(_OPENMP)
+#pragma omp parallel for schedule(dynamic)
+#endif
+ for(size_t f = 0; f < faces.size(); ++f) {
+ GFace *gf = faces[f];
+ if(gf->meshStatistics.status != GFace::PENDING) continue;
+ if(CTX::instance()->mesh.meshOnlyVisible && !gf->getVisibility()) continue;
+ if(CTX::instance()->debugSurface > 0 &&
+ gf->tag() != CTX::instance()->debugSurface)
+ continue;
+ if(gf->triangles.size() > 0 || gf->quadrangles.size() == 0) continue;
+ gf->meshStatistics.status = GFace::DONE;
+
+ /* Get singularities from global storage */
+ std::vector<std::pair<SPoint3, int> > singularities;
+ bool okg = getSingularitiesFromBackgroundField(gf, singularities);
+ if (!okg) {
+ Msg::Warning("- Face %i: failed to get singularities from background field", gf->tag());
+ }
+
+ bool invertNormals = meshOrientationIsOppositeOfCadOrientation(gf);
+ improveQuadMeshTopologyWithCavityRemeshing(gf, singularities,
+ invertNormals);
+
+ if(PARANO_VALIDITY) {
+ errorAndAbortIfInvalidVertexInElements(
+ dynamic_cast_vector<MQuadrangle *, MElement *>(gf->quadrangles),
+ "after cavity remeshing");
+ }
+ }
+
+ std::unordered_map<std::string, double> stats;
+ appendQuadMeshStatistics(gm, stats, "Mesh_");
+ printStatistics(stats, "Quad mesh after cavity remeshing:");
+
+ writeStatistics(stats, "quadqs_statistics.json");
+
+ if(PARANO_VALIDITY) {
+ errorAndAbortIfInvalidVertexInModel(gm,
+ "global check after cavity remeshing");
+ }
+
+ GeoLog::flush();
+
+ return 0;
+}
+
+#else
+/* else: without QUADMESHINGTOOLS module*/
+
+int BuildBackgroundMeshAndGuidingField(GModel *gm, bool overwriteGModelMesh,
+ bool deleteGModelMeshAfter, int N)
+{
+ Msg::Error("Module QUADMESHINGTOOLS required for function "
+ "BuildBackgroundMeshAndGuidingField");
+ return -10;
+}
+bool backgroundMeshAndGuidingFieldExists(GModel *gm)
+{
+ Msg::Error("Module QUADMESHINGTOOLS required for function "
+ "backgroundMeshAndGuidingFieldExists");
+ return -10;
+}
+int optimizeTopologyWithDiskQuadrangulationRemeshing(GModel *gm)
+{
+ Msg::Error("Module QUADMESHINGTOOLS required for function "
+ "optimizeTopologyWithCavityRemeshing");
+ return -10;
+}
+int optimizeTopologyWithCavityRemeshing(GModel *gm)
+{
+ Msg::Error("Module QUADMESHINGTOOLS required for function "
+ "optimizeTopologyWithCavityRemeshing");
+ return -10;
+}
+int quadMeshingOfSimpleFacesWithPatterns(GModel *gm,
+ double minimumQualityRequired)
+{
+ Msg::Error("Module QUADMESHINGTOOLS required for function "
+ "quadMeshingOfSimpleFacesWithPatterns");
+ return -10;
+}
+int RefineMeshWithBackgroundMeshProjection(GModel *gm)
+{
+ Msg::Error("Module QUADMESHINGTOOLS required for function "
+ "RefineMeshWithBackgroundMeshProjection");
+ return -10;
+}
+
+#endif
+/* endif: QUADMESHINGTOOLS*/
+
+int transferSeamGEdgesVerticesToGFace(GModel *gm)
+{
+ for(GFace *gf : gm->getFaces()) {
+ /* Transfer the vertices from seam GEdge to associated GFace */
+ std::unordered_map<MVertex *, MVertex *> old2new;
+ for(GEdge *ge : gf->edges()) {
+ if(ge->isSeam(gf) && ge->faces().size() == 1 && ge->faces()[0] == gf) {
+ /* GEdge interior vertices */
+ for(MVertex *ov : ge->mesh_vertices) {
+ auto it = old2new.find(ov);
+ if(it != old2new.end()) continue; /* already changed */
+ SPoint3 p = ov->point();
+ double t;
+ ov->getParameter(0, t);
+ SPoint2 uv = ge->reparamOnFace(gf, t, -1);
+ MVertex *nv = new MFaceVertex(p.x(), p.y(), p.z(), gf, uv[0], uv[1]);
+ nv->setParameter(0, uv[0]);
+ nv->setParameter(1, uv[1]);
+ gf->mesh_vertices.push_back(nv);
+ old2new[ov] = nv;
+ delete ov;
+ }
+ ge->mesh_vertices.clear();
+ for(size_t i = 0; i < ge->lines.size(); ++i) { delete ge->lines[i]; }
+ ge->lines.clear();
+
+ /* GEdge boundary vertices */
+ for(GVertex *gv : ge->vertices())
+ if(gv->mesh_vertices.size() == 1) {
+ std::vector<GEdge *> otherCurves;
+ for(GEdge *ge2 : gv->edges())
+ if(ge2 != ge) {
+ if(ge2->vertices().front() == ge2->vertices().back() &&
+ ge2->length() <
+ CTX::instance()->geom.tolerance) { /* Empty curve */
+ continue;
+ }
+ otherCurves.push_back(ge2);
+ }
+ std::sort(otherCurves.begin(), otherCurves.end());
+ otherCurves.erase(
+ std::unique(otherCurves.begin(), otherCurves.end()),
+ otherCurves.end());
+
+ if(otherCurves.size() > 0) continue;
+ MVertex *ov = gv->mesh_vertices[0];
+ auto it = old2new.find(ov);
+ if(it != old2new.end()) continue; /* already changed */
+ Msg::Debug(
+ "transfer: mesh vertex at CAD corner %i moved to face %i",
+ gv->tag(), gf->tag());
+ SPoint3 p = ov->point();
+ SPoint2 uv = gv->reparamOnFace(gf, 0);
+ MVertex *nv =
+ new MFaceVertex(p.x(), p.y(), p.z(), gf, uv[0], uv[1]);
+ nv->setParameter(0, uv[0]);
+ nv->setParameter(1, uv[1]);
+ gf->mesh_vertices.push_back(nv);
+ old2new[ov] = nv;
+
+ /* Note/warning: let the MVertex on the GVertex live. If the MVertex
+ * is deleted, I/O is broken.
+ * FIXME: support for GVertex without MVertex in mesh I/O */
+ // delete ov;
+ // gv->mesh_vertices.clear();
+ }
+ }
+ }
+ if(old2new.size() > 0) {
+ for(MElement *f : gf->triangles)
+ for(size_t lv = 0; lv < 3; ++lv) {
+ MVertex *v = f->getVertex(lv);
+ auto it = old2new.find(v);
+ if(it != old2new.end()) { f->setVertex(lv, it->second); }
+ }
+ for(MElement *f : gf->quadrangles)
+ for(size_t lv = 0; lv < 4; ++lv) {
+ MVertex *v = f->getVertex(lv);
+ auto it = old2new.find(v);
+ if(it != old2new.end()) { f->setVertex(lv, it->second); }
+ }
+ }
+ }
+ return 0;
+}
+
+QuadqsContextUpdater::QuadqsContextUpdater()
+{
+ algo2d = CTX::instance()->mesh.algo2d;
+ recombineAll = CTX::instance()->mesh.recombineAll;
+ algoRecombine = CTX::instance()->mesh.algoRecombine;
+ recombineOptimizeTopology = CTX::instance()->mesh.recombineOptimizeTopology;
+ lcFactor = CTX::instance()->mesh.lcFactor;
+ lcMin = CTX::instance()->mesh.lcMin;
+ lcMax = CTX::instance()->mesh.lcMax;
+ lcFromPoints = CTX::instance()->mesh.lcFromPoints;
+ minCurveNodes = CTX::instance()->mesh.minCurveNodes;
+ minCircleNodes = CTX::instance()->mesh.minCircleNodes;
+
+ setQuadqsOptions();
+}
+
+QuadqsContextUpdater::~QuadqsContextUpdater() { restoreInitialOption(); }
+
+void QuadqsContextUpdater::setQuadqsOptions()
+{
+ Msg::Debug("set special quadqs options in the global context");
+ CTX::instance()->mesh.algo2d = ALGO_2D_QUAD_QUASI_STRUCT;
+ CTX::instance()->mesh.recombineAll = 1;
+ CTX::instance()->mesh.algoRecombine = 0;
+ CTX::instance()->mesh.recombineOptimizeTopology = 0;
+ CTX::instance()->mesh.lcFactor = 1.;
+ CTX::instance()->mesh.lcMin = 0.;
+ CTX::instance()->mesh.lcMax = 1.e22;
+ CTX::instance()->mesh.lcFromPoints = 0;
+ CTX::instance()->mesh.minCurveNodes = 0;
+ CTX::instance()->mesh.minCircleNodes = 0;
+}
+
+void QuadqsContextUpdater::restoreInitialOption()
+{
+ Msg::Debug("restore options in the global context");
+ CTX::instance()->mesh.algo2d = algo2d;
+ CTX::instance()->mesh.recombineAll = recombineAll;
+ CTX::instance()->mesh.algoRecombine = algoRecombine;
+ CTX::instance()->mesh.recombineOptimizeTopology = recombineOptimizeTopology;
+ CTX::instance()->mesh.lcFactor = lcFactor;
+ CTX::instance()->mesh.lcMin = lcMin;
+ CTX::instance()->mesh.lcMax = lcMax;
+ CTX::instance()->mesh.lcFromPoints = lcFromPoints;
+ CTX::instance()->mesh.minCurveNodes = minCurveNodes;
+ CTX::instance()->mesh.minCircleNodes = minCircleNodes;
+}
diff --git a/Mesh/meshQuadQuasiStructured.h b/Mesh/meshQuadQuasiStructured.h
new file mode 100644
index 0000000000000000000000000000000000000000..dd2c38d9f2aa9af5505c1cabca9ff7eb01a8dcdd
--- /dev/null
+++ b/Mesh/meshQuadQuasiStructured.h
@@ -0,0 +1,132 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+
+#ifndef MESH_QUAD_QUASI_STRUCTURED_H
+#define MESH_QUAD_QUASI_STRUCTURED_H
+
+class GModel;
+
+/**
+ * @brief The QuadQuasiStructured meshing mode requires control
+ * over various meshing parameters which are stored in the
+ * global context. To deal with this without adding conditions
+ * everywhere in the other meshing parts, we use this updater
+ * which must be created at the beginning of the meshing cycle,
+ * and deleted at the end to restore the initial values.
+ */
+class QuadqsContextUpdater {
+public:
+ QuadqsContextUpdater();
+ ~QuadqsContextUpdater();
+
+protected:
+ void setQuadqsOptions();
+ void restoreInitialOption();
+
+protected:
+ int algo2d;
+ int recombineAll;
+ int algoRecombine;
+ int recombineOptimizeTopology;
+ double lcFactor;
+ double lcMin;
+ double lcMax;
+ int lcFromPoints;
+ int minCurveNodes;
+ int minCircleNodes;
+};
+
+/**
+ * @brief
+ *
+ * @param[in] gm GModel containing the CAD and/or meshes
+ * @param[in] overwriteGModelMesh delete existing mesh, rebuild from CAD
+ * @param[in] deleteGModelMeshAfter after background mesh creation, delete the
+ * GModel mesh
+ * @param[in] N the N-symmetry field invariance. N=4 for cross and N=6 for
+ * asterisk fields
+ *
+ * @return 0 if success
+ */
+int BuildBackgroundMeshAndGuidingField(GModel *gm,
+ bool overwriteGModelMesh = false,
+ bool deleteGModelMeshAfter = false,
+ int N = 4);
+
+/**
+ * @brief To check if a compatible background mesh and
+ * guiding field already exists
+ *
+ * @return true if exists
+ */
+bool backgroundMeshAndGuidingFieldExists(GModel *gm);
+
+/**
+ * @brief Look for non-ideal vertex valences in quad mesh and find a better
+ * local remeshing by looking into all disk quadrangulations.
+ * Quad quality (SICN) is monitored and the minimum will not decrease.
+ * Executes over CAD faces in parallel if multiple threads available.
+ * Only faces whose meshing status is GFace::PENDING are processed
+ *
+ * @param gm The model containing the face quad meshes.
+ *
+ * @return 0 if success
+ */
+int optimizeTopologyWithDiskQuadrangulationRemeshing(GModel *gm);
+
+/**
+ * @brief Mesh vertices on seam curves (and isolated corners) are
+ * reparametrized on the associated GFace and transfered.
+ * The seam curves have empty meshes in the end.
+ *
+ * @param gm The model containing the meshes
+ *
+ * @return 0 if success
+ */
+int transferSeamGEdgesVerticesToGFace(GModel *gm);
+
+/**
+ * @brief Look for patches of quads with >=3 irregular vertices which
+ * can be remeshed with more regular quad meshes. The replacement
+ * meshes are subdivisions of a list of predefined patterns.
+ * Irregular vertices matching cross field singularities are
+ * preserved.
+ * Executes over CAD faces in parallel if multiple threads available.
+ * Only faces whose meshing status is GFace::PENDING are processed
+ *
+ * @param gm The model containing the face quad meshes.
+ *
+ * @return 0 if success
+ */
+int optimizeTopologyWithCavityRemeshing(GModel *gm);
+
+/**
+ * @brief Look for simple CAD faces (topological disk, a few corners)
+ * which can be remeshed with simple quad patterns.
+ * The patterns are the same that are used in cavity remeshing.
+ * Executes over CAD faces in parallel if multiple threads available.
+ * Only faces whose meshing status is GFace::PENDING are processed
+ *
+ * @param gm The model containing the face quad meshes.
+ * @param minimumQualityRequired Minimum quality (SICN) required to accept a new
+ * quad mesh
+ *
+ * @return 0 if success
+ */
+int quadMeshingOfSimpleFacesWithPatterns(GModel *gm,
+ double minimumQualityRequired = 0.5);
+
+/**
+ * @brief Midpoint subdivision of the surface mesh with projections
+ * on the CAD surfaces, using the background mesh for
+ * faster projections.
+ *
+ * @param gm The model containg the surface meshes
+ *
+ * @return 0 if success
+ */
+int RefineMeshWithBackgroundMeshProjection(GModel *gm);
+
+#endif
diff --git a/Mesh/meshRelocateVertex.cpp b/Mesh/meshRelocateVertex.cpp
index 616845d417e21100b3352864ada99c0a00ce8a71..fcde60011abda7167e0a03f92c283481a0acb1c5 100644
--- a/Mesh/meshRelocateVertex.cpp
+++ b/Mesh/meshRelocateVertex.cpp
@@ -410,6 +410,7 @@ void getAllBoundaryLayerVertices(GFace *gf, std::set<MVertex *> &vs);
void RelocateVertices(GFace *gf, int niter, double tol)
{
if(!niter) return;
+ Msg::Debug("relocate vertices (face %i)", gf->tag());
std::set<MVertex *> vs;
getAllBoundaryLayerVertices(gf, vs);
diff --git a/Mesh/meshTriangulation.cpp b/Mesh/meshTriangulation.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..c712e2dd469fed483f4320ea3855557d38a01321
--- /dev/null
+++ b/Mesh/meshTriangulation.cpp
@@ -0,0 +1,735 @@
+// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+
+#include <utility>
+#include <list>
+#include <map>
+#include <unordered_map>
+#include "gmsh.h"
+#include "GModel.h"
+#include "GFace.h"
+#include "GEdge.h"
+#include "MLine.h"
+#include "MVertex.h"
+#include "MTriangle.h"
+#include "meshTriangulation.h"
+#include "SBoundingBox3d.h"
+#include "robustPredicates.h"
+#include "meshGFaceDelaunayInsertion.h"
+#include "qualityMeasures.h"
+#include "Numeric.h"
+
+void swap(double &a, double &b)
+{
+ double temp = a;
+ a = b;
+ b = temp;
+}
+
+size_t HilbertCoordinates(double x, double y, double x0, double y0, double xRed,
+ double yRed, double xBlue, double yBlue)
+{
+ size_t BIG = 1073741824;
+ size_t RESULT = 0;
+ for(int i = 0; i < 16; i++) {
+ double coordRed = (x - x0) * xRed + (y - y0) * yRed;
+ double coordBlue = (x - x0) * xBlue + (y - y0) * yBlue;
+ xRed /= 2;
+ yRed /= 2;
+ xBlue /= 2;
+ yBlue /= 2;
+ if(coordRed <= 0 && coordBlue <= 0) { // quadrant 0
+ x0 -= (xBlue + xRed);
+ y0 -= (yBlue + yRed);
+ swap(xRed, xBlue);
+ swap(yRed, yBlue);
+ }
+ else if(coordRed <= 0 && coordBlue >= 0) { // quadrant 1
+ RESULT += BIG;
+ x0 += (xBlue - xRed);
+ y0 += (yBlue - yRed);
+ }
+ else if(coordRed >= 0 && coordBlue >= 0) { // quadrant 2
+ RESULT += 2 * BIG;
+ x0 += (xBlue + xRed);
+ y0 += (yBlue + yRed);
+ }
+ else if(coordRed >= 0 && coordBlue <= 0) { // quadrant 3
+ x0 += (-xBlue + xRed);
+ y0 += (-yBlue + yRed);
+ swap(xRed, xBlue);
+ swap(yRed, yBlue);
+ xBlue = -xBlue;
+ yBlue = -yBlue;
+ xRed = -xRed;
+ yRed = -yRed;
+ RESULT += 3 * BIG;
+ }
+ else
+ Msg::Warning("Hilbert failed %d %d", coordRed, coordBlue);
+ BIG /= 4;
+ }
+ return RESULT;
+}
+
+struct pair_hash {
+ template <class T1, class T2>
+ std::size_t operator()(const std::pair<T1, T2> &pair) const
+ {
+ return std::hash<T1>()(pair.first) ^ std::hash<T2>()(pair.second);
+ }
+};
+
+int GFace2PolyMesh(int faceTag, PolyMesh **pm)
+{
+ *pm = new PolyMesh;
+
+ std::unordered_map<size_t, size_t> nodeLabels;
+
+ {
+ std::vector<std::size_t> nodeTags;
+ std::vector<double> coord;
+ std::vector<double> parametricCoord;
+ gmsh::model::mesh::getNodes(nodeTags, coord, parametricCoord, 2, faceTag,
+ true, true);
+
+ size_t j = 0;
+ for(size_t i = 0; i < nodeTags.size(); i++, j += 2) {
+ (*pm)->vertices.push_back(new PolyMesh::Vertex(
+ parametricCoord[j], parametricCoord[j + 1], 0.0, nodeTags[i]));
+ nodeLabels[nodeTags[i]] = i;
+ }
+ }
+
+ {
+ std::vector<int> elementTypes = {3};
+ std::vector<std::vector<std::size_t> > elementTags;
+ std::vector<std::vector<std::size_t> > nodeTags;
+ gmsh::model::mesh::getElements(elementTypes, elementTags, nodeTags, 2,
+ faceTag);
+ std::unordered_map<std::pair<size_t, size_t>, PolyMesh::HalfEdge *,
+ pair_hash>
+ opposites;
+
+ for(size_t i = 0; i < nodeTags.size(); i += 3) {
+ size_t currentHE = (*pm)->hedges.size();
+ size_t currentF = (*pm)->faces.size();
+ for(int j = 0; j < 3; j++)
+ (*pm)->hedges.push_back(
+ new PolyMesh::HalfEdge((*pm)->vertices[nodeTags[0][i + j]]));
+ PolyMesh::HalfEdge *he0 = (*pm)->hedges[currentHE + 0];
+ PolyMesh::HalfEdge *he1 = (*pm)->hedges[currentHE + 1];
+ PolyMesh::HalfEdge *he2 = (*pm)->hedges[currentHE + 2];
+ (*pm)->faces.push_back(new PolyMesh::Face(he0));
+ he0->prev = he2;
+ he0->next = he1;
+ he1->prev = he0;
+ he1->next = he2;
+ he2->prev = he1;
+ he2->next = he0;
+ he0->v->he = he0;
+ he1->v->he = he1;
+ he2->v->he = he2;
+ he0->f = (*pm)->faces[currentF];
+ he1->f = (*pm)->faces[currentF];
+ he2->f = (*pm)->faces[currentF];
+ std::pair<size_t, size_t> p0 =
+ std::make_pair(nodeTags[0][i + 1], nodeTags[0][i]);
+ std::pair<size_t, size_t> p1 =
+ std::make_pair(nodeTags[0][i + 2], nodeTags[0][i + 1]);
+ std::pair<size_t, size_t> p2 =
+ std::make_pair(nodeTags[0][i], nodeTags[0][i + 2]);
+ auto it0 = opposites.find(p0);
+ auto it1 = opposites.find(p1);
+ auto it2 = opposites.find(p2);
+ if(it0 == opposites.end()) {
+ p0 = std::make_pair(nodeTags[0][i + 0], nodeTags[0][i + 1]);
+ opposites[p0] = he0;
+ }
+ else {
+ he0->opposite = it0->second;
+ it0->second->opposite = he0;
+ }
+
+ if(it1 == opposites.end()) {
+ p1 = std::make_pair(nodeTags[0][i + 1], nodeTags[0][i + 2]);
+ opposites[p1] = he1;
+ }
+ else {
+ he1->opposite = it1->second;
+ it1->second->opposite = he1;
+ }
+
+ if(it2 == opposites.end()) {
+ p2 = std::make_pair(nodeTags[0][i + 2], nodeTags[0][i]);
+ opposites[p2] = he2;
+ }
+ else {
+ he2->opposite = it2->second;
+ it2->second->opposite = he2;
+ }
+ }
+ }
+ return 0;
+}
+
+static int delaunayEdgeCriterionPlaneIsotropic(PolyMesh::HalfEdge *he, void *)
+{
+ if(he->opposite == NULL) return -1;
+ PolyMesh::Vertex *v0 = he->v;
+ PolyMesh::Vertex *v1 = he->next->v;
+ PolyMesh::Vertex *v2 = he->next->next->v;
+ PolyMesh::Vertex *v = he->opposite->next->next->v;
+
+ // FIXME : should be oriented anyway !
+ double result = -robustPredicates::incircle(v0->position, v1->position,
+ v2->position, v->position);
+
+ return (result > 0) ? 1 : 0;
+}
+
+static void faceCircumCenter(PolyMesh::HalfEdge *he, GFace *gf, double *res,
+ double *uv)
+{
+ PolyMesh::Vertex *v0 = he->v;
+ PolyMesh::Vertex *v1 = he->next->v;
+ PolyMesh::Vertex *v2 = he->next->next->v;
+ GPoint p0 = gf->point(v0->position.x(), v0->position.y());
+ GPoint p1 = gf->point(v1->position.x(), v1->position.y());
+ GPoint p2 = gf->point(v2->position.x(), v2->position.y());
+ double q0[3] = {p0.x(), p0.y(), p0.z()};
+ double q1[3] = {p1.x(), p1.y(), p1.z()};
+ double q2[3] = {p2.x(), p2.y(), p2.z()};
+ circumCenterXYZ(q0, q1, q2, res, uv);
+}
+
+static double faceQuality(PolyMesh::HalfEdge *he, GFace *gf)
+{
+ PolyMesh::Vertex *v0 = he->v;
+ PolyMesh::Vertex *v1 = he->next->v;
+ PolyMesh::Vertex *v2 = he->next->next->v;
+ GPoint p0 = gf->point(v0->position.x(), v0->position.y());
+ GPoint p1 = gf->point(v1->position.x(), v1->position.y());
+ GPoint p2 = gf->point(v2->position.x(), v2->position.y());
+ return qmTriangle::gamma(p0.x(), p0.y(), p0.z(), p1.x(), p1.y(), p1.z(),
+ p2.x(), p2.y(), p2.z());
+}
+
+/*
+static int qualityCriterion3D(PolyMesh::HalfEdge *he, void *p){
+ if (he->data > 0) return -1;
+ if (he->opposite == nullptr) return -1;
+ if (p == nullptr) return -1;
+
+ GFace *gf = (GFace*)p;
+
+ PolyMesh::Vertex *v0 = he->v;
+ PolyMesh::Vertex *v1 = he->next->v;
+ PolyMesh::Vertex *v2 = he->next->next->v;
+ PolyMesh::Vertex *v3 = he->opposite->next->next->v;
+
+ GPoint p0 = gf->point (v0->position.x(),v0->position.y());
+ GPoint p1 = gf->point (v1->position.x(),v1->position.y());
+ GPoint p2 = gf->point (v2->position.x(),v2->position.y());
+ GPoint p3 = gf->point (v3->position.x(),v3->position.y());
+
+ double q1 = qmTriangle::gamma
+(p0.x(),p0.y(),p0.z(),p1.x(),p1.y(),p1.z(),p2.x(),p2.y(),p2.z()); double q2 =
+qmTriangle::gamma
+(p2.x(),p2.y(),p2.z(),p3.x(),p3.y(),p3.z(),p0.x(),p0.y(),p0.z());
+
+ double o1 = qmTriangle::gamma
+(p1.x(),p1.y(),p1.z(),p2.x(),p2.y(),p2.z(),p3.x(),p3.y(),p3.z()); double o2 =
+qmTriangle::gamma
+(p3.x(),p3.y(),p3.z(),p0.x(),p0.y(),p0.z(),p1.x(),p1.y(),p1.z());
+
+ return std::max(fabs(q1),fabs(q2)) > std::max(fabs(o1),fabs(o2)) ? 0 : 1;
+}
+*/
+
+static PolyMesh::Face *Walk(PolyMesh::Face *f, double x, double y)
+{
+ double POS[2] = {x, y};
+ PolyMesh::HalfEdge *he = f->he;
+
+ while(1) {
+ PolyMesh::Vertex *v0 = he->v;
+ PolyMesh::Vertex *v1 = he->next->v;
+ PolyMesh::Vertex *v2 = he->next->next->v;
+
+ double s0 = -robustPredicates::orient2d(v0->position, v1->position, POS);
+ double s1 = -robustPredicates::orient2d(v1->position, v2->position, POS);
+ double s2 = -robustPredicates::orient2d(v2->position, v0->position, POS);
+
+ if(s0 >= 0 && s1 >= 0 && s2 >= 0) {
+ /* printf("Face %g %g %g / %g %g %g / %g %g %g \n",
+ v0->position.x(), v0->position.y(), v0->position.z(),
+ v1->position.x(), v1->position.y(), v1->position.z(),
+ v2->position.x(), v2->position.y(), v2->position.z());
+ printf("point %g %g CURRENT FACE %p %g %g %g\n", x,y,he->f,
+ s0,s1,s2);*/
+ // getchar();
+ return he->f;
+ }
+ else if(s0 <= 0 && s1 >= 0 && s2 >= 0)
+ he = he->opposite;
+ else if(s1 <= 0 && s0 >= 0 && s2 >= 0)
+ he = he->next->opposite;
+ else if(s2 <= 0 && s0 >= 0 && s1 >= 0)
+ he = he->next->next->opposite;
+ else if(s0 <= 0 && s1 <= 0)
+ he = s0 > s1 ? he->opposite : he->next->opposite;
+ else if(s0 <= 0 && s2 <= 0)
+ he = s0 > s2 ? he->opposite : he->next->next->opposite;
+ else if(s1 <= 0 && s2 <= 0)
+ he = s1 > s2 ? he->next->opposite : he->next->next->opposite;
+ else {
+ printf("Face %g %g %g / %g %g %g / %g %g %g \n", v0->position.x(),
+ v0->position.y(), v0->position.z(), v1->position.x(),
+ v1->position.y(), v1->position.z(), v2->position.x(),
+ v2->position.y(), v2->position.z());
+ printf("ERROR point %g %g CURRENT FACE %p %g %g %g\n", x, y, he->f, s0,
+ s1, s2);
+ }
+ if(he == NULL) break;
+ }
+ // should only come here wether the triangulated domain is not convex
+ // printf("NO FACE FOUND\n");
+ return NULL;
+}
+
+// recover an edge that goes from v_start --> v_end
+// ----------------------------------- assume it's internal !!!
+
+static int intersect(PolyMesh::Vertex *v0, PolyMesh::Vertex *v1,
+ PolyMesh::Vertex *b0, PolyMesh::Vertex *b1)
+{
+ double s0 =
+ robustPredicates::orient2d(v0->position, v1->position, b0->position);
+ double s1 =
+ robustPredicates::orient2d(v0->position, v1->position, b1->position);
+ if(s0 * s1 >= 0) return 0;
+ double t0 =
+ robustPredicates::orient2d(b0->position, b1->position, v0->position);
+ double t1 =
+ robustPredicates::orient2d(b0->position, b1->position, v1->position);
+ if(t0 * t1 >= 0) return 0;
+ return 1;
+}
+
+int recover_edge(PolyMesh *pm, PolyMesh::Vertex *v_start,
+ PolyMesh::Vertex *v_end)
+{
+ PolyMesh::HalfEdge *he = v_start->he;
+ std::list<PolyMesh::HalfEdge *> _list;
+
+ // printf("recovering edge %d %d\n",v_start->data,v_end->data);
+
+ do {
+ PolyMesh::Vertex *v1 = he->next->v;
+ if(v1 == v_end) {
+ return 0; // edge exists
+ }
+ PolyMesh::Vertex *v2 = he->next->next->v;
+ if(v2 == v_end) {
+ return 0; // edge exists
+ }
+
+ if(intersect(v_start, v_end, v1, v2)) {
+ // printf("INTERSECTION WITH %d %d\n",v1->data,v2->data);
+ _list.push_back(he->next);
+ break;
+ }
+ he = he->next->next->opposite;
+ } while(he != v_start->he);
+
+ if(_list.empty()) { return -1; }
+
+ // -)-)-)-)-)-)-)-)-)-)-)-)-)-)-)-)-)-)-)-)-)-)-)-)-)
+ // find all intersections
+ while(1) {
+ he = _list.back();
+ he = he->opposite;
+ if(!he) return -2;
+ he = he->next;
+ PolyMesh::Vertex *v1 = he->v;
+ PolyMesh::Vertex *v2 = he->next->v;
+ if(v2 == v_end) {
+ // printf("END FOUND %d\n",v2->data);
+ break;
+ }
+ if(intersect(v_start, v_end, v1, v2)) {
+ // printf("INTESECTION %d %d\n",v1->data,v2->data);
+ _list.push_back(he);
+ }
+ else {
+ he = he->next;
+ v1 = he->v;
+ v2 = he->next->v;
+ if(v2 == v_end) {
+ // printf("END FOUND %d\n",v2->data);
+ break;
+ }
+ if(intersect(v_start, v_end, v1, v2)) {
+ // printf("INTESECTION %d %d\n",v1->data,v2->data);
+ _list.push_back(he);
+ }
+ else {
+ return -3;
+ }
+ }
+ }
+
+ int nbIntersection = _list.size();
+ // printf("%d intersections\n",nbIntersection);
+ // int K = 100;
+ while(!_list.empty()) {
+ he = *_list.begin();
+ _list.erase(_list.begin());
+ // ensure that swap is allowed (convex quad)
+ if(intersect(he->v, he->next->v, he->next->next->v,
+ he->opposite->next->next->v)) {
+ // ensure that swap removes one intersection
+ int still_intersect = intersect(v_start, v_end, he->next->next->v,
+ he->opposite->next->next->v);
+ // printf("swapping %d %d\n",he->v->data,he->next->v->data);
+ pm->swap_edge(he);
+ // pm->print4debug(K++);
+ if(still_intersect) _list.push_back(he);
+ }
+ else
+ _list.push_back(he);
+ }
+ return nbIntersection;
+}
+//-------------------------------------------------------------------------------------
+
+static PolyMesh::HalfEdge *Color(PolyMesh::HalfEdge *he, int color)
+{
+ std::stack<PolyMesh::Face *> _stack;
+ _stack.push(he->f);
+
+ PolyMesh::HalfEdge *other_side = nullptr;
+
+ while(!_stack.empty()) {
+ PolyMesh::Face *f = _stack.top();
+ _stack.pop();
+ f->data = color;
+ he = f->he;
+ for(int i = 0; i < 3; i++) {
+ if(he->data == -1 && he->opposite != NULL &&
+ he->opposite->f->data == -1) {
+ _stack.push(he->opposite->f);
+ }
+ else if(he->data != -1 && he->opposite != NULL) {
+ other_side = he->opposite;
+ }
+ he = he->next;
+ }
+ }
+ return other_side;
+}
+
+void GFaceDelaunayRefinement(size_t faceTag)
+{
+ GFace *gf = GModel::current()->getFaceByTag(faceTag);
+
+ PolyMesh *pm = GFaceInitialMesh(faceTag, 1);
+
+ std::list<PolyMesh::HalfEdge *> _list;
+ double _limit = 0.7;
+ for(auto f : pm->faces) {
+ double q = faceQuality(f->he, gf);
+ if(q < _limit && f->data == gf->tag()) _list.push_back(f->he);
+ }
+ // int I = 1;
+ while(!_list.empty()) {
+ PolyMesh::HalfEdge *he = *_list.begin();
+ _list.erase(_list.begin());
+ double q = faceQuality(he, gf);
+ if(q < _limit) {
+ double uv[2];
+ SPoint3 cc;
+ faceCircumCenter(he, gf, cc, uv);
+ GPoint gp = gf->closestPoint(cc, uv);
+ if(gp.succeeded()) {
+ PolyMesh::Face *f = he->f;
+ f = Walk(f, gp.u(), gp.v());
+ if(f && f->data == (int)faceTag) {
+ std::vector<PolyMesh::HalfEdge *> _touched;
+ pm->split_triangle(gp.u(), gp.v(), 0, f,
+ delaunayEdgeCriterionPlaneIsotropic, gf,
+ &_touched);
+ if(_touched.size() == 3) {
+ // we should unsplit ...
+ // pm->undo_split(_touched);
+ }
+ else {
+ std::vector<PolyMesh::Face *> _f;
+ for(auto h : _touched)
+ if(std::find(_f.begin(), _f.end(), h->f) == _f.end())
+ _f.push_back(h->f);
+
+ // printf("step %d %lu touched : ",I,_f.size());
+ for(auto pf : _f) {
+ q = faceQuality(pf->he, gf);
+ // printf("%12.5E ",q);
+ if(q < _limit && pf->data == gf->tag()) _list.push_back(pf->he);
+ }
+ // printf("\n");
+ }
+ // pm->print4debug(100000+I++);
+ }
+ }
+ }
+ }
+}
+
+void GFaceDelaunayRefinementOldMesher(int faceTag)
+{
+ PolyMesh *pm = GFaceInitialMesh(faceTag);
+
+ GFace *gf = GModel::current()->getFaceByTag(faceTag);
+
+ // use old code ---
+
+ for(auto f : pm->faces) {
+ if(f->data == faceTag) {
+ size_t n0 = f->he->v->data;
+ size_t n1 = f->he->next->v->data;
+ size_t n2 = f->he->next->next->v->data;
+ MVertex *v0 = GModel::current()->getMeshVertexByTag(n0);
+ MVertex *v1 = GModel::current()->getMeshVertexByTag(n1);
+ MVertex *v2 = GModel::current()->getMeshVertexByTag(n2);
+ gf->triangles.push_back(new MTriangle(v0, v1, v2));
+ }
+ }
+ delete pm;
+ // bowyerWatsonFrontal(gf);
+}
+
+struct nodeCopies {
+ MVertex *mv;
+ size_t nbCopies;
+ double u[8], v[8]; // max 8 copies -- reduced to 4
+ size_t id[8];
+ nodeCopies(MVertex *_mv, double _u, double _v) : mv(_mv), nbCopies(1)
+ {
+ u[0] = _u;
+ v[0] = _v;
+ }
+ void addCopy(double _u, double _v)
+ {
+ for(size_t i = 0; i < nbCopies; i++) {
+ if(fabs(u[i] - _u) < 1.e-9 && fabs(v[i] - _v) < 1.e-9) return;
+ }
+ u[nbCopies] = _u;
+ v[nbCopies] = _v;
+ nbCopies++;
+ }
+ size_t closest(double _u, double _v)
+ {
+ double minD = 1.e22;
+ size_t I = 0;
+ for(size_t i = 0; i < nbCopies; i++) {
+ double dist = sqrt((_u - u[i]) * (_u - u[i]) + (_v - v[i]) * (_v - v[i]));
+ if(dist < minD) {
+ minD = dist;
+ I = i;
+ }
+ }
+ return id[I];
+ }
+};
+
+//// INITIAL MESH --------- colored
+
+static void getNodeCopies(GFace *gf, std::map<size_t, nodeCopies> &copies)
+{
+ std::vector<GEdge *> edges = gf->edges();
+ std::vector<GEdge *> emb_edges = gf->getEmbeddedEdges();
+ edges.insert(edges.end(), emb_edges.begin(), emb_edges.end());
+ std::set<GEdge *> touched;
+
+ for(auto e : edges) {
+ if(!e->isMeshDegenerated()) {
+ std::set<MVertex *, MVertexPtrLessThan> e_vertices;
+ for(std::size_t i = 0; i < e->lines.size(); i++) {
+ MVertex *v1 = e->lines[i]->getVertex(0);
+ MVertex *v2 = e->lines[i]->getVertex(1);
+ e_vertices.insert(v1);
+ e_vertices.insert(v2);
+ }
+ int direction = -1;
+ if(e->isSeam(gf)) {
+ direction = 0;
+ if(touched.find(e) == touched.end())
+ touched.insert(e);
+ else
+ direction = 1;
+ }
+ // printf("model edge %lu %lu
+ // vertices\n",e->tag(),e_vertices.size());
+ for(auto v : e_vertices) {
+ SPoint2 param;
+ if(direction != -1) {
+ double t = 0;
+ if(v->onWhat()->dim() == 0)
+ reparamMeshVertexOnEdge(v, e, t);
+ else if(v->onWhat()->dim() == 1)
+ v->getParameter(0, t);
+ else
+ Msg::Error("a seam edge without CAD ?");
+ param = e->reparamOnFace(gf, t, direction);
+ }
+ else {
+ reparamMeshVertexOnFace(v, gf, param);
+ }
+ std::map<size_t, nodeCopies>::iterator it = copies.find(v->getNum());
+ if(it == copies.end()) {
+ nodeCopies c(v, param.x(), param.y());
+ copies.insert(std::make_pair(v->getNum(), c));
+ }
+ else {
+ it->second.addCopy(param.x(), param.y());
+ }
+ }
+ }
+ }
+
+ std::vector<GVertex *> emb_vertx = gf->getEmbeddedVertices();
+ for(auto v : emb_vertx) {
+ SPoint2 param;
+ reparamMeshVertexOnFace(v->mesh_vertices[0], gf, param);
+ nodeCopies c(v->mesh_vertices[0], param.x(), param.y());
+ copies.insert(std::make_pair(v->mesh_vertices[0]->getNum(), c));
+ }
+}
+
+PolyMesh *GFaceInitialMesh(int faceTag, int recover)
+{
+ GFace *gf = GModel::current()->getFaceByTag(faceTag);
+
+ PolyMesh *pm = new PolyMesh;
+
+ std::map<size_t, nodeCopies> copies;
+ getNodeCopies(gf, copies);
+
+ SBoundingBox3d bb;
+ for(auto c : copies) {
+ for(size_t i = 0; i < c.second.nbCopies; i++)
+ bb += SPoint3(c.second.u[i], c.second.v[i], 0);
+ }
+ bb *= 1.1;
+ pm->initialize_rectangle(bb.min().x(), bb.max().x(), bb.min().y(),
+ bb.max().y());
+ PolyMesh::Face *f = pm->faces[0];
+ for(std::map<size_t, nodeCopies>::iterator it = copies.begin();
+ it != copies.end(); ++it) {
+ for(size_t i = 0; i < it->second.nbCopies; i++) {
+ double x = it->second.u[i];
+ double y = it->second.v[i];
+ // find face in which lies x,y
+ f = Walk(f, x, y);
+ // split f and then swap edges to recover delaunayness
+ pm->split_triangle(x, y, 0, f, delaunayEdgeCriterionPlaneIsotropic, NULL);
+ // remember node tags
+ it->second.id[i] = pm->vertices.size() - 1;
+ pm->vertices[pm->vertices.size() - 1]->data = it->first;
+ }
+ }
+
+ if(!recover) return pm;
+
+ // recover edges ...
+
+ // pm->print4debug(100000);
+
+ std::vector<GEdge *> edges = gf->edges();
+ std::vector<GEdge *> emb_edges = gf->getEmbeddedEdges();
+ edges.insert(edges.end(), emb_edges.begin(), emb_edges.end());
+
+ for(auto e : edges) {
+ if(!e->isMeshDegenerated()) {
+ for(auto l : e->lines) {
+ auto c0 = copies.find(l->getVertex(0)->getNum());
+ auto c1 = copies.find(l->getVertex(1)->getNum());
+ if(c0 == copies.end() || c1 == copies.end())
+ Msg::Error("unable to find %lu %lu %d %d", l->getVertex(0)->getNum(),
+ l->getVertex(1)->getNum(), c0 == copies.end(),
+ c1 == copies.end());
+ if(c0->second.nbCopies > c1->second.nbCopies) {
+ auto cc = c0;
+ c0 = c1;
+ c1 = cc;
+ }
+ for(size_t j = 0; j < c0->second.nbCopies; j++) {
+ PolyMesh::Vertex *v0 = pm->vertices[c0->second.id[j]];
+ PolyMesh::Vertex *v1 =
+ pm->vertices[c1->second.closest(c0->second.u[j], c0->second.v[j])];
+ int result = recover_edge(pm, v0, v1);
+ if(result < 0) {
+ Msg::Warning("Impossible to recover edge %lu %lu (error tag %d)",
+ l->getVertex(0)->getNum(), l->getVertex(0)->getNum(),
+ result);
+ }
+ else {
+ PolyMesh::HalfEdge *he = pm->getEdge(v0, v1);
+ if(he) {
+ if(he->opposite) he->opposite->data = e->tag();
+ he->data = e->tag();
+ }
+ }
+ }
+ }
+ }
+ }
+
+ // color all PolyMesh::Faces
+ // the first 4 vertices are "infinite vertices" --> color them with tag -2
+ // meaning exterior
+ PolyMesh::HalfEdge *other_side = Color(pm->vertices[0]->he, -2);
+ // other_side is inthernal to the face --> color them with tag faceTag
+ other_side = Color(other_side, faceTag);
+ // holes will be tagged -1
+
+ // pm->print4debug(200000);
+
+ return pm;
+}
+//------------------------------------------------
+
+#if 0
+ bb *= 1./1.1;
+ const size_t N = 100000;
+ std::vector<double> X(N),Y(N);
+ std::vector<size_t> HC(N), IND(N);
+ for (size_t i = 0; i< N ; i++){
+ double R = drand48();
+ X[i] = bb.min().x() + R * (bb.max().x()-bb.min().x());
+ R = drand48();
+ Y[i] = bb.min().y() + R * (bb.max().y()-bb.min().y());
+ HC[i] = HilbertCoordinates(X[i], Y[i], bb.center().x(), bb.center().y(),
+ bb.max().x() - bb.center().x(),0,
+ 0, bb.max().y() - bb.center().y());
+ IND[i] = i;
+ }
+ std::sort( IND.begin(),IND.end(), [&](size_t i,size_t j){return HC[i]<HC[j];} );
+ double t1 = gmsh::logger::getCpuTime();
+ for (size_t i = 0; i< N ; i++){
+ size_t I = IND[i];
+ f = Walk (f,X[I],Y[I]);
+ pm->split_triangle(X[I],Y[I],0,f,delaunayEdgeCriterionPlaneIsotropic,NULL);
+ }
+ double t2 = gmsh::logger::getCpuTime();
+ // printf("%12.5E Seconds\n",t2-t1);
+ pm->print4debug( nodeTags.size() );
+}
+#endif
+#if 0
+ PolyMesh::Vertex *v0 = pm->vertices[nodeLabels[1]];
+ PolyMesh::Vertex *v1 = pm->vertices[nodeLabels[3]];
+ int result = recover_edge (pm, v0, v1);
+#endif
diff --git a/Mesh/meshTriangulation.h b/Mesh/meshTriangulation.h
new file mode 100644
index 0000000000000000000000000000000000000000..0f3116d6682e6120b002bc4d7c9e9ce271f02db4
--- /dev/null
+++ b/Mesh/meshTriangulation.h
@@ -0,0 +1,24 @@
+// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+
+#ifndef MESH_TRIANGULATION_H
+#define MESH_TRIANGULATION_H
+
+#include "meshPolyMesh.h"
+
+// returns a PolyMesh i.e. a half edge data structure that
+// is actually the triangulation face boundary
+// if recover = 1 --> edges are recovered and
+// the triangulation is colored : triangles belonging
+// to the model face are colored faceTag, other have negative colors.
+PolyMesh *GFaceInitialMesh(int faceTag, int recover = 0);
+// apply Delaunay refinement using old algorithms
+// FIXME -- not working yet
+void GFaceDelaunayRefinementOldMesher(int faceTag);
+void GFaceDelaunayRefinement(int faceTag);
+int GFace2PolyMesh(int faceTag, PolyMesh **pm);
+// int PolyMesh2GFace (const PolyMesh *pm, size_t faceTag);
+
+#endif
diff --git a/Numeric/HierarchicalBasisH1Brick.cpp b/Numeric/HierarchicalBasisH1Brick.cpp
index 7a9696ce0dd2b53fe34b1558505dd5b3418c4efe..8cb83177a39a8f99e0082cc59361b1d63556ef94 100644
--- a/Numeric/HierarchicalBasisH1Brick.cpp
+++ b/Numeric/HierarchicalBasisH1Brick.cpp
@@ -349,7 +349,7 @@ void HierarchicalBasisH1Brick::generateGradientBasis(
std::vector<double> *vectorTarget2(nullptr);
std::vector<std::vector<double> > *dvectorTarget2(nullptr);
for(int iFace = 0; iFace < _nfaceQuad; iFace++) {
- int indexLambda;
+ int indexLambda = 0;
switch(iFace) {
case(0):
indexLambda = 5;
diff --git a/Numeric/HilbertCurve.cpp b/Numeric/HilbertCurve.cpp
index c6d80cc4555f66595ae339c87980dbd8e925091c..1503a1376aaa86fd394f9028f9c718cdc3b75c68 100644
--- a/Numeric/HilbertCurve.cpp
+++ b/Numeric/HilbertCurve.cpp
@@ -50,7 +50,7 @@ struct HilbertSort {
}
bbox *= 1.01;
MVertex **pv = &v[0];
- int depth;
+ int depth = 0;
MultiscaleSortHilbert(pv, (int)v.size(), 10, 0.125, &depth);
}
};
diff --git a/Numeric/fullMatrix.h b/Numeric/fullMatrix.h
index 2024956c4a163eac7d977fd76372caa64ab0342f..c58ff21d779b7aa20f5afe7a7ef7d46ae654362f 100644
--- a/Numeric/fullMatrix.h
+++ b/Numeric/fullMatrix.h
@@ -17,6 +17,7 @@
#ifdef Success // in X11 header X.h
#undef Success
#endif
+#include <sstream>
#include <Eigen/Dense>
#endif
diff --git a/Post/OctreePost.cpp b/Post/OctreePost.cpp
index 9d9f9a16cd657c08d2afbac63df4a0dcdf516397..783fb2a9b7ab80c4b1b6761399a771862411f216 100644
--- a/Post/OctreePost.cpp
+++ b/Post/OctreePost.cpp
@@ -38,7 +38,18 @@ static void minmax(int n, double *X, double *Y, double *Z, double *min,
}
SBoundingBox3d bb(min[0], min[1], min[2], max[0], max[1], max[2]);
- bb.thicken(0.01); // make 1% thicker
+
+ if(CTX::instance()->mesh.algo2d == ALGO_2D_PACK_PRLGRMS ||
+ CTX::instance()->mesh.algo2d == ALGO_2D_QUAD_QUASI_STRUCT) {
+ /* TODO FIXME: ugly temporary fix, but we need larger bbox for the
+ * guiding field sampling on curved surfaces, thicken is not sufficient */
+ bb *= 1.1;
+ bb.makeCube();
+ }
+ else {
+ bb.thicken(0.01); // make 1% thicker
+ }
+
max[0] = bb.max().x();
max[1] = bb.max().y();
max[2] = bb.max().z();
@@ -284,7 +295,17 @@ void OctreePost::_create(PViewData *data)
}
SBoundingBox3d bb = l->getBoundingBox();
- bb.thicken(0.01); // make 1% thicker
+
+ if(CTX::instance()->mesh.algo2d == ALGO_2D_PACK_PRLGRMS ||
+ CTX::instance()->mesh.algo2d == ALGO_2D_QUAD_QUASI_STRUCT) {
+ /* TODO FIXME: ugly temporary fix, but we need larger bbox for the
+ * guiding field sampling on curved surfaces, thicken is not sufficient */
+ bb *= 1.1;
+ }
+ else {
+ bb.thicken(0.01); // make 1% thicker
+ }
+
SPoint3 bbmin = bb.min(), bbmax = bb.max();
double min[3] = {bbmin.x(), bbmin.y(), bbmin.z()};
double size[3] = {bbmax.x() - bbmin.x(), bbmax.y() - bbmin.y(),
diff --git a/Solver/CMakeLists.txt b/Solver/CMakeLists.txt
index d8962a92403d25e8d77fe9f159892e35bde47066..6e465d5b10492a5dae8dcfd55bf72684d8a4d405 100644
--- a/Solver/CMakeLists.txt
+++ b/Solver/CMakeLists.txt
@@ -8,6 +8,7 @@ set(SRC
linearSystemCSR.cpp
linearSystemPETSc.cpp
linearSystemMUMPS.cpp
+ linearSystemEigen.cpp
dofManager.cpp
groupOfElements.cpp
elasticityTerm.cpp
diff --git a/Solver/linearSystemEigen.cpp b/Solver/linearSystemEigen.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..42a8877b87672e9ec298bafc54366614664ca975
--- /dev/null
+++ b/Solver/linearSystemEigen.cpp
@@ -0,0 +1,217 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+
+#include <stdio.h>
+#include <math.h>
+#include "linearSystemEigen.h"
+
+#if defined(HAVE_EIGEN)
+
+linearSystemEigen<double>::linearSystemEigen() { solverType = EigenSparseLU; }
+
+bool linearSystemEigen<double>::isAllocated() const
+{
+ if(A.rows() > 0)
+ return true;
+ else
+ return false;
+}
+
+void linearSystemEigen<double>::allocate(int nbRows)
+{
+ A.resize(nbRows, nbRows);
+ B.resize(nbRows);
+ X.resize(nbRows);
+ B.fill(0.);
+ X.fill(0.);
+}
+
+void linearSystemEigen<double>::clear()
+{
+ A.setZero();
+ B.setZero();
+ X.setZero();
+}
+
+void linearSystemEigen<double>::zeroMatrix()
+{
+ A.setZero();
+ B.setZero();
+ X.setZero();
+}
+
+void linearSystemEigen<double>::zeroRightHandSide() { B.fill(0.); }
+
+void linearSystemEigen<double>::zeroSolution() { X.fill(0.); }
+
+void linearSystemEigen<double>::setSolverType(
+ linearSystemEigenSolver solverName)
+{
+ solverType = solverName;
+}
+
+int linearSystemEigen<double>::systemSolve()
+{
+ if(solverType == EigenCholeskyLLT) {
+ Eigen::SimplicialLLT<Eigen::SparseMatrix<double> > solver;
+ solver.compute(A);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with CholeskyLLT");
+ return -1;
+ }
+ X = solver.solve(B);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with CholeskyLLT");
+ return -1;
+ }
+ }
+ else if(solverType == EigenCholeskyLDLT) {
+ Eigen::SimplicialLDLT<Eigen::SparseMatrix<double> > solver;
+ solver.compute(A);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with CholeskyLDLT");
+ return -1;
+ }
+ X = solver.solve(B);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with CholeskyLDLT");
+ return -1;
+ }
+ }
+ else if(solverType == EigenSparseLU) {
+ Eigen::SparseLU<Eigen::SparseMatrix<double> > solver;
+ solver.compute(A);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with SparseLU");
+ return -1;
+ }
+ X = solver.solve(B);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with SparseLU");
+ return -1;
+ }
+ }
+ else if(solverType == EigenSparseQR) {
+ /* Note: maybe another ordering method is better, see Eigen documentation */
+ Eigen::SparseQR<Eigen::SparseMatrix<double>, Eigen::NaturalOrdering<int> >
+ solver;
+ solver.compute(A);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with SparseQR");
+ return -1;
+ }
+ X = solver.solve(B);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with SparseQR");
+ return -1;
+ }
+ }
+ else if(solverType == EigenCG) {
+ Eigen::ConjugateGradient<Eigen::SparseMatrix<double> > solver;
+ solver.compute(A);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning(
+ "Eigen: failed to solve linear system with Conjugate Gradient");
+ return -1;
+ }
+ X = solver.solve(B);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning(
+ "Eigen: failed to solve linear system with Conjugate Gradient");
+ return -1;
+ }
+ }
+ else if(solverType == EigenCGLeastSquare) {
+ Eigen::LeastSquaresConjugateGradient<Eigen::SparseMatrix<double> > solver;
+ solver.compute(A);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with Least Square "
+ "Conjugate Gradient");
+ return -1;
+ }
+ X = solver.solve(B);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with Least Square "
+ "Conjugate Gradient");
+ return -1;
+ }
+ }
+ else if(solverType == EigenBiCGSTAB) {
+ Eigen::BiCGSTAB<Eigen::SparseMatrix<double> > solver;
+ solver.compute(A);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with BiCGSTAB");
+ return -1;
+ }
+ X = solver.solve(B);
+ if(solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with BiCGSTAB");
+ return -1;
+ }
+ }
+ return 1;
+}
+
+void linearSystemEigen<double>::insertInSparsityPattern(int row, int col) {}
+
+double linearSystemEigen<double>::normInfRightHandSide() const
+{
+ return B.maxCoeff();
+}
+
+double linearSystemEigen<double>::normInfSolution() const
+{
+ return X.maxCoeff();
+}
+
+void linearSystemEigen<double>::addToMatrix(int row, int col, const double &val)
+{
+ A.coeffRef(row, col) += val; /* slow ! */
+}
+
+void linearSystemEigen<double>::getFromMatrix(int row, int col,
+ double &val) const
+{
+ val = A.coeff(row, col);
+}
+
+void linearSystemEigen<double>::addToRightHandSide(int row, const double &val,
+ int ith)
+{
+ if((int)B.size() <= row) {
+ B.resize(row + 1);
+ B[row] = val;
+ }
+ else {
+ B[row] += val;
+ }
+}
+
+void linearSystemEigen<double>::getFromRightHandSide(int row, double &val) const
+{
+ if((int)B.size() <= row) val = 0.;
+ val = B[row];
+}
+
+void linearSystemEigen<double>::getFromSolution(int row, double &val) const
+{
+ if((int)X.size() <= row)
+ val = 0.;
+ else
+ val = X[row];
+}
+
+void linearSystemEigen<double>::addToSolution(int row, const double &val)
+{
+ if((int)X.size() <= row) {
+ X.resize(row + 1);
+ X[row] = val;
+ }
+ else {
+ X[row] += val;
+ }
+}
+
+#endif
diff --git a/Solver/linearSystemEigen.h b/Solver/linearSystemEigen.h
new file mode 100644
index 0000000000000000000000000000000000000000..8bd55e0ca0fd872601db819a7df3f80ef16b1b14
--- /dev/null
+++ b/Solver/linearSystemEigen.h
@@ -0,0 +1,91 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+
+#ifndef LINEAR_SYSTEM_EIGEN_H
+#define LINEAR_SYSTEM_EIGEN_H
+
+// Interface to solve a linear system with Eigen
+
+#include "GmshConfig.h"
+#include "GmshMessage.h"
+#include "linearSystem.h"
+
+#if defined(HAVE_EIGEN)
+
+#include <Eigen/Sparse>
+
+template <class scalar> class linearSystemEigen : public linearSystem<scalar> {
+public:
+ linearSystemEigen()
+ {
+ Msg::Info("linearSystemEigen not implemented for this element type");
+ }
+
+ virtual bool isAllocated() const { return false; }
+ virtual void allocate(int nbRows) {}
+ virtual void clear() {}
+ virtual void zeroMatrix() {}
+ virtual void zeroRightHandSide() {}
+ virtual void zeroSolution() {}
+ virtual int systemSolve() { return 1; }
+ virtual void insertInSparsityPattern(int row, int col) {}
+ virtual double normInfRightHandSide() const { return 0.; }
+ virtual double normInfSolution() const { return 0.; }
+
+ virtual void addToMatrix(int row, int col, const double &val) {}
+ virtual void getFromMatrix(int row, int col, double &val) const {}
+ virtual void addToRightHandSide(int row, const scalar &val, int ith = 0) {}
+ virtual void getFromRightHandSide(int row, scalar &val) const {}
+ virtual void getFromSolution(int row, scalar &val) const {}
+ virtual void addToSolution(int row, const scalar &val) {}
+};
+
+enum linearSystemEigenSolver {
+ EigenCholeskyLLT,
+ EigenCholeskyLDLT,
+ EigenSparseLU,
+ EigenSparseQR,
+ /* warning: no preconditionner for iterative solver by default, should be
+ changed */
+ EigenCG,
+ EigenCGLeastSquare,
+ EigenBiCGSTAB
+};
+
+template <> class linearSystemEigen<double> : public linearSystem<double> {
+private:
+ Eigen::VectorXd X;
+ Eigen::VectorXd B;
+ Eigen::SparseMatrix<double> A;
+ linearSystemEigenSolver solverType;
+
+public:
+ linearSystemEigen();
+
+ void setSolverType(linearSystemEigenSolver solverName);
+
+ virtual bool isAllocated() const;
+ virtual void allocate(int nbRows);
+ virtual void clear();
+ virtual void zeroMatrix();
+
+ virtual void zeroRightHandSide();
+ virtual void zeroSolution();
+ virtual int systemSolve();
+ virtual void insertInSparsityPattern(int row, int col);
+ virtual double normInfRightHandSide() const;
+ virtual double normInfSolution() const;
+
+ virtual void addToMatrix(int row, int col, const double &val);
+ virtual void getFromMatrix(int row, int col, double &val) const;
+ virtual void addToRightHandSide(int row, const double &val, int ith = 0);
+ virtual void getFromRightHandSide(int row, double &val) const;
+ virtual void getFromSolution(int row, double &val) const;
+ virtual void addToSolution(int row, const double &val);
+};
+
+#endif
+
+#endif
diff --git a/benchmarks/2d/BL0.geo b/benchmarks/2d/BL0.geo
index eaef96bb6b4929dde0cad577b15df736d672c407..cb561b88ff1993d9e3434f82271df80798fe4d56 100755
--- a/benchmarks/2d/BL0.geo
+++ b/benchmarks/2d/BL0.geo
@@ -1,37 +1,20 @@
l = .2;
Point(7) = {-1.4, 0.5, 0, l};
-//+
Point(8) = {-1.4, -1.1, 0, l};
-//+
Point(9) = {1.4, -1.1, 0, l};
-//+
Point(10) = {1.4, 0.5, 0, l};
-//+
Line(2) = {7, 10};
-//+
Line(3) = {9, 10};
-//+
Line(4) = {9, 8};
-//+
Line(5) = {8, 7};
-//+
Line Loop(7) = {2,-3,4,5};
-//+
Plane Surface(8) = {7};
-//+
Field[1] = BoundaryLayer;
-//+
-Field[1].EdgesList = {4};
-//+
-Field[1].hfar = 0.1;
-//+
-Field[1].hwall_n = 0.005;
-//+
-Field[1].thickness = 0.1;
-//+
-BoundaryLayer Field = 1;
-
-//+
-Field[1].ratio = 1.4;
-//+
+Field[1].CurvesList = {4};
+Field[1].SizeFar = 0.1;
+Field[1].Size = 0.005;
+Field[1].Thickness = 0.1;
+Field[1].Ratio = 1.4;
Field[1].NodesList = {8, 9};
+
+BoundaryLayer Field = 1;
diff --git a/benchmarks/2d/BL1.geo b/benchmarks/2d/BL1.geo
index 7bbb4e0b7ac5035ae40371c84d6297e0aa983434..36a93886904141897b0c399d3f49defd391310e9 100755
--- a/benchmarks/2d/BL1.geo
+++ b/benchmarks/2d/BL1.geo
@@ -1,52 +1,26 @@
l = .2;
-//+
Point(1) = {-1.1, -0.3, 0, l};
-//+
Point(2) = {-0.3, -0, 0, l};
-//+
Point(3) = {1, -0.3, 0, l};
-//+
Point(4) = {-0.3, -0.6, 0, l};
-//+
Point(5) = {0.7, -0.2, 0, l};
-//+
Point(6) = {0.7, -0.4, 0, l};
-//+
Spline(1) = {3, 5, 2, 1, 4, 6, 3};
-//+
Point(7) = {-1.4, 0.5, 0, l};
-//+
Point(8) = {-1.4, -1.1, 0, l};
-//+
Point(9) = {1.4, -1.1, 0, l};
-//+
Point(10) = {1.4, 0.5, 0, l};
-//+
Line(2) = {7, 10};
-//+
Line(3) = {9, 10};
-//+
Line(4) = {9, 8};
-//+
Line(5) = {8, 7};
-//+
Line Loop(6) = {2, -3, 4, 5};
-//+
Line Loop(7) = {1};
-//+
Plane Surface(8) = {6, 7};
-//+
Field[1] = BoundaryLayer;
-//+
-Field[1].EdgesList = {1};
-//+
-Field[1].hfar = 0.1;
-//+
-Field[1].hwall_n = 0.01;
-//+
-Field[1].thickness = 0.1;
-//+
+Field[1].CurvesList = {1};
+Field[1].SizeFar = 0.1;
+Field[1].Size = 0.01;
+Field[1].Thickness = 0.1;
+Field[1].Ratio = 1.4;
BoundaryLayer Field = 1;
-
-//+
-Field[1].ratio = 1.4;
diff --git a/benchmarks/2d/BL2.geo b/benchmarks/2d/BL2.geo
index a0dc3051db69bdf8d84c27ba52a1b807689105fd..d8c1475207028dcafc81b293530e9025340a48d5 100644
--- a/benchmarks/2d/BL2.geo
+++ b/benchmarks/2d/BL2.geo
@@ -24,12 +24,12 @@ Line(9) = {3, 11};
Line {9} In Surface {8};
Field[1] = BoundaryLayer;
-Field[1].EdgesList = {1, 11, 9};
-Field[1].hfar = 0.1;
-Field[1].hwall_n = 0.01;
-Field[1].thickness = 0.1;
-Field[1].ratio = 1.4;
-Field[1].FanNodesList = {1, 11}; // try e.g. removing 11
+Field[1].CurvesList = {1, 11, 9};
+Field[1].SizeFar = 0.1;
+Field[1].Size = 0.01;
+Field[1].Thickness = 0.1;
+Field[1].Ratio = 1.4;
+Field[1].FanPointsList = {1, 11}; // try e.g. removing 11
Field[1].FanPointsSizesList = {5, 4}; // 5 elements for node 1 and 4 for node 11
Field[1].Quads = 1;
BoundaryLayer Field = 1;
diff --git a/benchmarks/2d/BL3.geo b/benchmarks/2d/BL3.geo
index 55ef6c323a83b125f3cc49426a3b6948504fe9d3..8b6e86195a472a03e853cf51fe23d068a1272263 100644
--- a/benchmarks/2d/BL3.geo
+++ b/benchmarks/2d/BL3.geo
@@ -1,84 +1,40 @@
-//Mesh.CharacteristicLengthExtendFromBoundary = 0;
-//Mesh.CharacteristicLengthMin = 0.1;
-//Mesh.CharacteristicLengthMax = 0.1;
-//+
Point(1) = {-1.7, -0.3, 0, .1};
-//+
Point(2) = {-1.2, -0, 0, .1};
-//+
Point(3) = {-0.5, -0.3, 0, .1};
-//+
Point(4) = {-0.4, -0.7, 0, .1};
-//+
Point(5) = {-0.8, -0.8, 0, .1};
-//+
Point(6) = {-1.2, -0.5, 0, .1};
-//+
Point(7) = {-1.8, -0.5, 0, .1};
-//+
Point(8) = {-1.1, 0.6, 0, .1};
-//+
Point(9) = {-0.5, 0.7, 0, .1};
-//+
Point(10) = {-0.1, 0.2, 0, .1};
-//+
Point(11) = {-0.3, -0.1, 0, .1};
-//+
Point(12) = {-0.7, 0.2, 0, .1};
-//+
Point(13) = {-1.1, 0.4, 0, 1.0};
-//+
Point(14) = {-1.5, 0.5, 0, .1};
-//+
Point(15) = {-2.3, 1.1, 0, .1};
-//+
Point(16) = {-2.3, -1, 0, .1};
-//+
Point(17) = {0.7, -1, 0, .1};
-//+
Point(18) = {0.5, 1.1, 0, .1};
-//+
Line(1) = {15, 16};
-//+
Line(2) = {16, 17};
-//+
Line(3) = {17, 18};
-//+
Line(4) = {18, 15};
-//+
Spline(5) = {14, 8, 9, 10, 11, 12, 13, 14};
-//+
Spline(6) = {2, 3, 4, 5, 6, 7, 1, 2};
-//+
-Field[1] = BoundaryLayer;
-//+
-Field[1].EdgesList = {5, 6, 1};
-//+
-Field[1].hfar = 0.1;
-//+
-Field[1].hwall_n = 0.001;
-//+
-Field[1].ratio = 1.4;
-//+
-Field[1].thickness = .35;
-BoundaryLayer Field = 1;
-//+
Line Loop(7) = {1, 2, 3, 4};
-//+
Line Loop(8) = {5};
-//+
Line Loop(9) = {6};
-//+
Plane Surface(10) = {7, 8, 9};
-//+
-Characteristic Length {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14} = 0.1;
-//+
-Field[1].FanNodesList = {14};
-//+
-Characteristic Length {17, 16, 5, 4, 6, 7, 3, 1, 11, 2, 10, 12, 13, 14, 8, 9, 15, 18} = 0.1;
-//+
-//Field[1].Quads = 1;
-//+
-//Field[1].thickness = 1;
-//+
-Field[1].NodesList = {15, 16};
+
+Field[1] = BoundaryLayer;
+Field[1].CurvesList = {5, 6, 1};
+Field[1].SizeFar = 0.1;
+Field[1].Size = 0.001;
+Field[1].Ratio = 1.4;
+Field[1].Thickness = .35;
+Field[1].FanPointsList = {14};
+Field[1].PointsList = {15, 16};
+BoundaryLayer Field = 1;
+
+MeshSize{:} = 0.1;
diff --git a/benchmarks/2d/BL4.geo b/benchmarks/2d/BL4.geo
index 0129e368b3b454ef19cd07a15f8d72efa6ab9b92..c2cc47cd9b66b78982992b5ab31b10ddf0a1bdb3 100755
--- a/benchmarks/2d/BL4.geo
+++ b/benchmarks/2d/BL4.geo
@@ -1,39 +1,21 @@
l = .2;
Point(7) = {-1.4, 0.5, 0, l};
-//+
Point(8) = {-1.4, -1.1, 0, l};
-//+
Point(9) = {1.4, -1.1, 0, l};
-//+
Point(10) = {1.4, 0.5, 0, l};
-//+
Line(2) = {7, 10};
-//+
Line(3) = {9, 10};
-//+
Line(4) = {9, 8};
-//+
Line(5) = {8, 7};
-//+
Line Loop(7) = {2,-3,4,5};
-//+
Plane Surface(8) = {7};
-//+
-Field[1] = BoundaryLayer;
-//+
-Field[1].EdgesList = {4};
-//+
-Field[1].hfar = 0.1;
-//+
-Field[1].hwall_n = 0.005;
-//+
-Field[1].thickness = 0.1;
-//+
-BoundaryLayer Field = 1;
-//+
-Field[1].ratio = 1.4;
-//+
-Field[1].NodesList = {8, 9};
-//+
+Field[1] = BoundaryLayer;
+Field[1].CurvesList = {4};
+Field[1].SizeFar = 0.1;
+Field[1].Size = 0.005;
+Field[1].Thickness = 0.1;
+Field[1].Ratio = 1.4;
+Field[1].PointsList = {8, 9};
Field[1].BetaLaw = 1;
+BoundaryLayer Field = 1;
diff --git a/benchmarks/2d/naca12BL.geo b/benchmarks/2d/naca12BL.geo
index 0a83772a45eae24c81358d05abf3bd41e7704897..de8609dbbe4bfc753257c05c6faa381f591cc5a6 100644
--- a/benchmarks/2d/naca12BL.geo
+++ b/benchmarks/2d/naca12BL.geo
@@ -225,17 +225,14 @@ Line(8) = {1003,1000};
Line Loop(9) = {6,7,8,5};
Line Loop(10) = {2,1};
Plane Surface(11) = {9,10};
-//Plane Surface(12) = {10};
-//Plane Surface(11) = {9};
Field[1] = BoundaryLayer;
-Field[1].EdgesList = {1, 2};
-Field[1].hwall_n = 0.0001*SC;
-Field[1].ratio = 2.4;
-Field[1].thickness = 0.02*SC;
-//Field[1].fan_angle = 80;
-//Background Field = 1;
-//Field[1].NodesList = {1};
-Field[1].FanNodesList = {1};
+Field[1].CurvesList = {1, 2};
+Field[1].Size = 0.0001*SC;
+Field[1].Ratio = 2.4;
+Field[1].Thickness = 0.02*SC;
+Field[1].PointsList = {1};
Field[1].Quads = 1;
+Field[1].FanPointsList = {1};
+
BoundaryLayer Field = 1;
diff --git a/benchmarks/2d/naca12_2d.geo b/benchmarks/2d/naca12_2d.geo
index ef06796cbf1f4e06848d378271fc0a8ac2925959..f348e0e2ca4f7dd4f4ce677b5c39c1688b756174 100644
--- a/benchmarks/2d/naca12_2d.geo
+++ b/benchmarks/2d/naca12_2d.geo
@@ -224,30 +224,29 @@ Line(8) = {1003,1000};
Line Loop(9) = {6,7,8,5};
Line Loop(10) = {2,3,4,1};
Plane Surface(11) = {9,10};
-//Recombine Surface {11};
Field[2] = BoundaryLayer;
-//Field[2].NodesList = {1};
-//Field[2].EdgesList = {1,2,3,4};
-Field[2].EdgesList = {1,2,3,4};
-Field[2].hfar = 1.5;
-Field[2].hwall_n = 0.0008;
-Field[2].ratio = 1.2;
-Field[2].thickness = .03;
+Field[2].FanPointsList = {1};
+Field[2].CurvesList = {1,2,3,4};
+Field[2].SizeFar = 1.5;
+Field[2].Size = 0.0008;
+Field[2].Ratio = 1.2;
+Field[2].Thickness = .03;
Field[2].IntersectMetrics = 1;
-Background Field = 2;
+Field[2].Quads = 1;
Field[1] = Box;
-Field[1].VIn = 0.01;
+Field[1].VIn = 0.0025;
Field[1].VOut = 1;
-Field[1].XMax = 0.6;
Field[1].XMin = 0.4;
+Field[1].XMax = 0.8;
Field[1].YMax = 0.1;
Field[1].YMin = -0.1;
-Field[1].ZMax = 1;
-Field[1].ZMin = -1;
+Field[1].Thickness = 2;
Field[3] = MinAniso;
Field[3].FieldsList = {1, 2};
-//Background Field = 2;
+Background Field = 3;
BoundaryLayer Field = 2;
+
+Mesh.BoundaryLayerFanElements = 30;
diff --git a/benchmarks/2d/naca12_2d_trailing.geo b/benchmarks/2d/naca12_2d_trailing.geo
index 4c26cb06b1537e6d6fce650d9707002f64b8ea94..3b8a1ca084e310305fdbd9b36665dba379eb5530 100755
--- a/benchmarks/2d/naca12_2d_trailing.geo
+++ b/benchmarks/2d/naca12_2d_trailing.geo
@@ -224,17 +224,17 @@ Line Loop(9) = {6,7,8,5};
Line Loop(10) = {2,3,4,1};
Plane Surface(11) = {9,10};
-//Physical Surface(11)={11};
-//Point(9999) = {0.6,0,0,1};
-
Point(1004) = {1.5, 0, 0, lc};
Line(12) = {1, 1004};
Line {12} In Surface {11};
Field[2] = BoundaryLayer;
-Field[2].EdgesList = {12, 1,2,3,4,12};
-Field[2].hfar = 1.5;
-Field[2].hwall_n = 0.0001;
-Field[2].ratio = 1.3;
-Field[2].thickness = .05;
+Field[2].CurvesList = {12, 1,2,3,4,12};
+Field[2].SizeFar = 1.5;
+Field[2].Size = 0.0001;
+Field[2].Ratio = 1.3;
+Field[2].Thickness = .05;
+Field[2].FanPointsList = {1004};
+Field[2].Quads = 1;
+
BoundaryLayer Field = 2;
diff --git a/benchmarks/2d/transf_complex.geo b/benchmarks/2d/transf_complex.geo
index d47fef2930525db0b4e800c0098f2138a5b9a2bc..78fdc618d14761a059d82d9bdf8a362a71f9bce9 100644
--- a/benchmarks/2d/transf_complex.geo
+++ b/benchmarks/2d/transf_complex.geo
@@ -44,3 +44,7 @@ Transfinite Line {14,10} = 50 Using Bump 0.3;
Transfinite Line {11,8,7,12,6,5,13,15,3,4,16,1,2,9} = 30 Using Progression 1;
Transfinite Surface {18} = {9,13,11,10};
Recombine Surface {18};
+
+// use this to get a smoother mesh:
+
+//Mesh.Smoothing = 100;
diff --git a/benchmarks/3d/percolation.geo b/benchmarks/3d/percolation.geo
index 98373058f96c674a391e4ceda50d72c4398000b4..351d5d2c4f74c4e46f3bb5493b191b9f2ee217c0 100644
--- a/benchmarks/3d/percolation.geo
+++ b/benchmarks/3d/percolation.geo
@@ -27,12 +27,12 @@ Delete{ Volume{aa[1]}; } // this volume is wrong: we will be carving holes in it
Function newsphere
rr = 0.5-sphere_dist;
- a = newp;
+ a = newp;
b = newl;
- c = newll;
- d = news;
- e = newsl;
- f = newv;
+ c = newll;
+ d = news;
+ e = newsl;
+ f = newv;
Point(a) = {i,j,k,lc};
Point(a+1) = {i,j+rr,k,lc};
Point(a+2) = {i,j-rr,k,lc};
@@ -60,9 +60,9 @@ Function newsphere
Line Loop(c+5) = {b+4,-(b+1),-(b+8)}; Surface(d+5) = {c+5};
Line Loop(c+6) = {b+8,-b,b+7}; Surface(d+6) = {c+6};
Line Loop(c+7) = {b+7,-(b+11),b+3}; Surface(d+7) = {c+7};
- Surface Loop(e) = {d+1,-(d+4),-(d+3),d+2,d,(d+6),-(d+5),-(d+7)};
+ Surface Loop(e) = {d+1,-(d+4),-(d+3),d+2,d,(d+6),-(d+5),-(d+7)};
Volume(f) = e;
- holes[] += e;
+ holes[] += e;
Return
//random distribution
@@ -90,7 +90,7 @@ For i In {1:xdim-2:1}
array[(i-1)*ydim*zdim + (j-1)*zdim + k] == 0 &&
array[(i)*ydim*zdim + (j+1)*zdim + k] == 0 &&
array[(i)*ydim*zdim + (j-1)*zdim + k] == 0 &&
-
+
array[(i+1)*ydim*zdim + j*zdim + (k-1)] == 0 &&
array[(i+1)*ydim*zdim + (j+1)*zdim + (k-1)] == 0 &&
array[(i+1)*ydim*zdim + (j-1)*zdim + (k-1)] == 0 &&
@@ -100,7 +100,7 @@ For i In {1:xdim-2:1}
array[(i)*ydim*zdim + (j+1)*zdim + (k-1)] == 0 &&
array[(i)*ydim*zdim + (j-1)*zdim + (k-1)] == 0 &&
array[i*ydim*zdim + j*zdim + (k-1)] == 0 &&
-
+
array[(i+1)*ydim*zdim + j*zdim + (k+1)] == 0 &&
array[(i+1)*ydim*zdim + (j+1)*zdim + (k+1)] == 0 &&
array[(i+1)*ydim*zdim + (j-1)*zdim + (k+1)] == 0 &&
@@ -121,7 +121,7 @@ For i In {0:xdim-1:1}
For j In {0:ydim-1:1}
For k In {0:zdim-1:1}
//Printf("array[%g][%g][%g] = %g", i, j, k,array[i*ydim*zdim + j*zdim + k]);
- If (array[i*ydim*zdim + j*zdim + k] == 1)
+ If (array[i*ydim*zdim + j*zdim + k] == 1)
Call newsphere;
EndIf
EndFor
@@ -132,5 +132,4 @@ EndFor
c = newsl; Surface Loop(c) = {43,-1,35,39,48,47};
v = newv; Volume(v) = {c, holes[]};
-Coherence; // make sure duplicate nodes are removed when sphere_dist=0
-Field[1] = BoundaryLayer;
+Coherence; // make sure duplicate points are removed when sphere_dist=0
diff --git a/contrib/QuadMeshingTools/CMakeLists.txt b/contrib/QuadMeshingTools/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..c03c8d04d88ab2cb5e87aa300026a006b86e4472
--- /dev/null
+++ b/contrib/QuadMeshingTools/CMakeLists.txt
@@ -0,0 +1,16 @@
+set(QMT_SRC
+ qmtMeshGeometryOptimization.cpp
+ qmtDiskQuadrangulationRemeshing.cpp
+ qmtQuadCavityRemeshing.cpp
+ qmtCrossField.cpp
+ qmtCurveQuantization.cpp
+ qmtSizeMap.cpp
+ qmtMeshUtils.cpp
+ arrayGeometry.cpp
+ cppUtils.cpp
+ geolog.cpp
+ row_echelon_integer.cpp
+ )
+
+file(GLOB_RECURSE HDR RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} *.h)
+append_gmsh_src(contrib/QuadMeshingTools "${QMT_SRC};${HDR}")
diff --git a/contrib/QuadMeshingTools/README.md b/contrib/QuadMeshingTools/README.md
new file mode 100644
index 0000000000000000000000000000000000000000..212de7fa1a09ce5ff569411aa58fe574b6facba2
--- /dev/null
+++ b/contrib/QuadMeshingTools/README.md
@@ -0,0 +1,75 @@
+# Quadqs behavior
+
+### Usage:
+
+- in GUI:
+
+select "Quasi-structured quad (experimental)" in Mesh > 2D algorithm
+
+- in command line:
+
+gmsh -algo quadqs -2 <other options>
+
+The mesh size is mainly controlled by the -clscale option.
+
+### General pipeline:
+
+1. generate initial triangulation
+2. compute cross field
+3. compute size map
+4. save as background mesh, background field, delete mesh
+5. apply curve quantization constraints (using automatic transfinite for the moment)
+6. generate curve meshes
+7. generate transfinite quad meshes
+8. generate unstructured quad-dominant meshes with algo pack
+9. midpoint subdivision
+10. mesh simple CAD faces with patterns
+11. improve quad mesh topology with disk quadrangulation remeshing
+12. improve quad mesh topology with cavity remeshing
+13. geometry smoothing (also applied during the previous steps)
+
+### Shortcuts:
+
+- If triangulation available: start at step 2
+- If scaled cross field available: start at step 5
+- If scalar size map available: import it in step 3
+- If quad mesh available: start at step 10
+
+# Content of contrib/QuadMeshingTools
+
+- Heat-based cross/asterisk field solver in qmtCrossField.h/cpp
+- Conformal scaling solver (least-square, based on angle gradients) in qmtCrossField.h/cpp
+- Size map tools (dist to curves, one-way smoothing) in qmtSizeMap.h/cpp
+- Disk quadrangulation remeshing, qmtDiskQuadrangulationRemeshing.h/cpp
+- Pattern-based cavity remeshing, qmtQuadCavityRemeshing.h/cpp
+- Various geometry smoothers (global UV Laplacian, Winslow/Angled-based local kernel, DMO UV kernel), in qmtMeshGeometryOptimization.h/cpp
+- Curve quantization simple CAD faces to get regular meshes, in progress, not usable yet, in qmtCurveQuantization.h/cpp
+- GeoLog: convenient wrapper around gmsh views for debugging, geolog.h/cpp
+
+
+# Changes to gmsh
+
+- Main files at Mesh/meshQuadQuasiStructured.h/cpp, to call the QuadMeshingTools functions
+- Add Eigen-based sparse solver in Solver/linearSystemEigen.h/cpp
+- Add robin_hood fast unordered_set/map hash maps, at Common/robin_hood.h, MIT license
+- Add libOL octree for meshing library at Common/libol1.h/c, MIT license
+- Add SurfaceProjector based on libOL octree, in Mesh/meshOctreeLibOL.h/cpp
+- Add background mesh datastructures, in Mesh/BackgroundMesh.h/cpp
+- contrib/domhex replaced by the version from quadMeshingTools branch (contains JF changes to algo pack)
+- Post/OctreePost.cpp: use larger bounding boxes. Required for the background field sampling
+- ALGO_2D_PACK_PRLGRMS_CSTR deprecated
+- Add implicit conversion from SPoint3/SVector3 to std::array<double,3>
+- Many Msg::Warning switch to Msg::Debug in CAD/Post projections
+- Special case for quadqs in bbox sizing in Post/OctreePost.cpp, should find something better
+- Add an option quadqsSizemapMethod in global context CTX::instance()->mesh
+- Add a curve transfinite method (ge->meshAttributes.typeTransfinite = 4) to get vertex positioning via size map
+
+# Todo
+
+- Support for user-prescribed size map (requires quality metric taking size map into account)
+- Add options in global context for better control
+- Add MUMPS solver (with analysis / factorize)
+- Better cavity initialization strategies (e.g. pathes between irregular vertices)
+- Better CAD quantization (support for T-junctions, rings, etc)
+- Filter anisotropy after cavity remeshing to avoid some distorted patches
+
diff --git a/contrib/QuadMeshingTools/arrayGeometry.cpp b/contrib/QuadMeshingTools/arrayGeometry.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..a2c7c6c082e63b4864561dd44e18c3c028b809ea
--- /dev/null
+++ b/contrib/QuadMeshingTools/arrayGeometry.cpp
@@ -0,0 +1,30 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#include "arrayGeometry.h"
+
+/* System includes */
+#include <vector>
+#include <array>
+#include <unordered_map>
+#include <cstdint>
+#include <cmath>
+#include <algorithm>
+
+namespace ArrayGeometry {
+
+ double bboxDiag(const std::vector<vec3>& points) {
+ vec3 mi = {DBL_MAX,DBL_MAX,DBL_MAX};
+ vec3 ma = {-DBL_MAX,-DBL_MAX,-DBL_MAX};
+ for (size_t i = 0; i < points.size(); ++i) for (size_t d = 0; d < 3; ++d) {
+ mi[d] = std::min(points[i][d],mi[d]);
+ ma[d] = std::max(points[i][d],ma[d]);
+ }
+ return length(ma-mi);
+ }
+
+}
diff --git a/contrib/QuadMeshingTools/arrayGeometry.h b/contrib/QuadMeshingTools/arrayGeometry.h
new file mode 100644
index 0000000000000000000000000000000000000000..92eaae266469f1a5a0463cacfc3e36753607f31e
--- /dev/null
+++ b/contrib/QuadMeshingTools/arrayGeometry.h
@@ -0,0 +1,84 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#pragma once
+
+#include <array>
+#include <vector>
+#include <cstdint>
+#include <cfloat>
+#include <cmath>
+
+namespace ArrayGeometry {
+ using vec2 = std::array<double,2>;
+ using vec3 = std::array<double,3>;
+
+ /* scalar utils */
+ inline double clamp(double x, double lower, double upper) { return std::min(upper, std::max(x, lower)); }
+ inline double maxAbs(double x, double y, double z) { return std::max(std::abs(x),std::max(std::abs(y),std::abs(z))); }
+
+ /* vec3 math */
+ inline vec3 operator-(const vec3& a, const vec3& b) { return {{a[0]-b[0], a[1]-b[1], a[2]-b[2]}}; }
+ inline vec3 operator+(const vec3& a, const vec3& b) { return {{a[0]+b[0], a[1]+b[1], a[2]+b[2]}}; }
+ inline vec3 operator*(const double& a, const vec3& b) { return {{a*b[0], a*b[1], a*b[2]}}; }
+ inline vec3 operator*(const vec3& a, const double& b) { return {{a[0]*b, a[1]*b, a[2]*b}}; }
+ inline double dot (const vec3& a, const vec3& b) { return a[0]*b[0]+a[1]*b[1]+a[2]*b[2]; }
+ inline double length2 (const vec3& a) { return dot(a,a); }
+ inline double length (const vec3& a) { return sqrt(length2(a)); }
+ inline double maxAbs (const vec3& a) { return maxAbs(a[0],a[1],a[2]); }
+ inline vec3 cross(const vec3& a, const vec3& b) { return {{a[1]*b[2]-a[2]*b[1], a[2]*b[0]-a[0]*b[2], a[0]*b[1]-a[1]*b[0]}};}
+ inline void normalizeFast(vec3& a) { a = 1./sqrt(length2(a)) * a; } /* no check, not safe, not accurate */
+ inline void normalize(vec3& a) { double amp = maxAbs(a); if (amp == 0.) { return; } a = amp * a; normalizeFast(a); }
+ inline double angleVectorsAlreadyNormalized(const vec3& a, const vec3& b) { return acos(clamp(dot(a,b),-1.,1.)); }
+ inline double angleVectors(vec3 a, vec3 b);
+
+ /* vec2 math */
+ inline vec2 operator-(const vec2& a, const vec2& b) { return {{a[0]-b[0], a[1]-b[1]}}; }
+ inline vec2 operator+(const vec2& a, const vec2& b) { return {{a[0]+b[0], a[1]+b[1]}}; }
+ inline vec2 operator*(const double& a, const vec2& b) { return {{a*b[0], a*b[1]}}; }
+ inline vec2 operator*(const vec2& a, const double& b) { return {{a[0]*b, a[1]*b}}; }
+ inline double dot (const vec2& a, const vec2& b) { return a[0]*b[0]+a[1]*b[1]; }
+ inline double length2 (const vec2& a) { return dot(a,a); }
+ inline double length (const vec2& a) { return sqrt(length2(a)); }
+
+
+ /* functions */
+
+ double bboxDiag(const std::vector<vec3>& points);
+ inline vec3 triangleNormal(const vec3& p0, const vec3& p1, const vec3& p2); /* normalized */
+ inline double triangleArea(const vec3& p0, const vec3& p1, const vec3& p2);
+
+
+
+ /**********************/
+ /* inline definitions */
+ /**********************/
+
+ double angleVectors(vec3 a, vec3 b) {
+ double ma = maxAbs(a);
+ double mb = maxAbs(b);
+ if (ma == 0. || mb == 0.) return DBL_MAX;
+ a = ma*a;
+ b = mb*b;
+ normalizeFast(a);
+ normalizeFast(b);
+ return angleVectorsAlreadyNormalized(a,b);
+ }
+
+ vec3 triangleNormal(const vec3& p0, const vec3& p1, const vec3& p2) {
+ vec3 N = cross(p2-p0,p1-p0);
+ if (maxAbs(N) == 0.) return {{0.,0.,0.}};
+ normalize(N);
+ return N;
+ }
+
+ double triangleArea(const vec3& p0, const vec3& p1, const vec3& p2) {
+ vec3 N = cross(p2-p0,p1-p0);
+ return length(N)/2.;
+ }
+
+}
diff --git a/contrib/QuadMeshingTools/cppUtils.cpp b/contrib/QuadMeshingTools/cppUtils.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..b4dab4c8dcc0998abc5ad0d23f61bad169414df5
--- /dev/null
+++ b/contrib/QuadMeshingTools/cppUtils.cpp
@@ -0,0 +1,16 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#include "cppUtils.h"
+
+
+namespace CppUtils {
+ /* Useless function, necessary for legacy compilers ? */
+ void dummy() {
+ return;
+ }
+}
diff --git a/contrib/QuadMeshingTools/cppUtils.h b/contrib/QuadMeshingTools/cppUtils.h
new file mode 100644
index 0000000000000000000000000000000000000000..a12399fa282243d3252de12de54a08bfea04f018
--- /dev/null
+++ b/contrib/QuadMeshingTools/cppUtils.h
@@ -0,0 +1,231 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#pragma once
+
+#include <array>
+#include <vector>
+#include <algorithm>
+#include <unordered_map>
+#include <unordered_set>
+
+#include <ostream>
+#include <stdio.h>
+#include <string.h>
+
+/* Debugging macro to print variable name and value in the terminal, usage: DBG(x); DBG(x,..,z); */
+#define DBG(...) fprintf(stdout, "(DBG) %s:%i: ", __FILE__,__LINE__); CppUtils::show(std::cout, #__VA_ARGS__, __VA_ARGS__); fflush(stdout)
+
+namespace CppUtils {
+ using std::size_t;
+
+ template<class T>
+ inline std::array<T,2> sorted(T v1, T v2) {
+ if (v1 < v2) { return {v1,v2}; } else { return {v2,v1}; }
+ }
+
+ template<class T>
+ inline std::array<T,3> sorted(T v1, T v2, T v3) {
+ if (v1 > v3) std::swap(v1,v3);
+ if (v1 > v2) std::swap(v1,v2);
+ if (v2 > v3) std::swap(v2,v3);
+ return std::array<T,3>{v1,v2,v3};
+ }
+
+ template<class T>
+ void sort_unique(std::vector<T>& vec) {
+ std::sort( vec.begin(), vec.end() );
+ vec.erase( std::unique( vec.begin(), vec.end() ), vec.end() );
+ }
+
+ template<class T1, class T2>
+ T2 sort_unique_with_perm(
+ const std::vector<T1>& in,
+ std::vector<T1>& uniques,
+ std::vector<T2>& old2new) {
+
+ std::vector<T2> ids(in.size());
+ for(T2 k = 0; k != in.size(); ++k) ids[k]=k;
+
+ std::sort(ids.begin(), ids.end(),
+ [&in](const T2& a, const T2&b){ return (in[a] < in[b]); }
+ );
+
+ uniques.resize(in.size());
+ old2new.resize(in.size());
+ for(T2 k = 0; k != in.size(); ++k) uniques[k]=in[k];
+
+ std::sort(uniques.begin(), uniques.end());
+ uniques.erase( std::unique(uniques.begin(), uniques.end()),
+ uniques.end());
+ T2 ic = 0; // indice current
+ T2 ir = 0; // indice representant
+ T2 cur_rep = 0; // indice of current representant
+ while(ic < in.size()){
+ ic = ir;
+ while(ic < in.size() && in[ids[ic]]==in[ids[ir]]){
+ old2new[ids[ic]] = cur_rep;
+ ++ic;
+ }
+ ir = ic;
+ ++cur_rep;
+ }
+ return (T2) uniques.size();
+ }
+
+ template<class T>
+ void compress(const std::vector<std::vector<T> >& vov,
+ std::vector<size_t>& first, std::vector<T>& values) {
+ first.resize(vov.size()+1);
+ size_t count = 0;
+ for (size_t i = 0; i < vov.size(); ++i) {
+ first[i] = count;
+ count += vov[i].size();
+ }
+ first[vov.size()] = count;
+ values.resize(count);
+ for (size_t i = 0; i < vov.size(); ++i) {
+ for (size_t j = 0; j < vov[i].size(); ++j) {
+ values[first[i]+j] = vov[i][j];
+ }
+ }
+ first.shrink_to_fit();
+ values.shrink_to_fit();
+ }
+
+ template<class T>
+ std::vector<T> intersection(const std::vector<T>& v1, const std::vector<T>& v2) {
+ std::vector<T> s1 = v1;
+ std::vector<T> s2 = v2;
+ sort_unique(s1);
+ sort_unique(s2);
+ std::vector<T> s3;
+ set_intersection(s1.begin(),s1.end(),s2.begin(),s2.end(), std::back_inserter(s3));
+ return s3;
+ }
+
+ template<class T>
+ std::vector<T> merge(const std::vector<T>& v1, const std::vector<T>& v2) {
+ std::vector<T> s1 = v1;
+ std::vector<T> s2 = v2;
+ sort_unique(s1);
+ sort_unique(s2);
+ std::vector<T> s3;
+ set_union(s1.begin(),s1.end(),s2.begin(),s2.end(), std::back_inserter(s3));
+ sort_unique(s3);
+ return s3;
+ }
+
+ template<class T>
+ std::vector<T> difference(const std::vector<T>& v1, const std::vector<T>& v2) {
+ std::vector<T> s1 = v1;
+ std::vector<T> s2 = v2;
+ sort_unique(s1);
+ sort_unique(s2);
+ std::vector<T> s3;
+ set_difference(s1.begin(),s1.end(),s2.begin(),s2.end(), std::inserter(s3,s3.begin()));
+ return s3;
+ }
+
+ template<class T1, class T2>
+ inline std::vector<T2> dynamic_cast_vector(const std::vector<T1>& pointers) {
+ std::vector<T2> output(pointers.size(),NULL);
+ for (size_t i = 0; i < pointers.size(); ++i) {
+ output[i] = dynamic_cast<T2>(pointers[i]);
+ }
+ return output;
+ }
+
+ template<class T>
+ void append(std::vector<T>& v1, const std::vector<T>& v2) {
+ v1.insert(v1.end(),v2.begin(),v2.end());
+ }
+
+ template <typename T>
+ bool inVector(const T& value, const std::vector<T> &vec) {
+ if (vec.size() == 0) return false;
+ auto it = std::find(vec.begin(), vec.end(), value);
+ return (it != vec.end()) ? true : false;
+ }
+
+ template <typename T, size_t N>
+ bool inArray(const T& value, const std::array<T,N> &vec) {
+ if (vec.size() == 0) return false;
+ auto it = std::find(vec.begin(), vec.end(), value);
+ return (it != vec.end()) ? true : false;
+ }
+
+ template<class T1,class T2>
+ std::ostream& operator<<(std::ostream& os, const std::pair<T1,T2>& val) {
+ return os << "(" << val.first << "," << val.second << ")";
+ }
+
+ template<class T,size_t N>
+ std::ostream& operator<<(std::ostream& os, const std::array<T,N>& values) {
+ os << "(";
+ for (size_t i = 0; i < values.size(); ++i) {
+ os << values[i];
+ if (i != values.size() - 1) {
+ os << ", ";
+ }
+ }
+ os << ")";
+ return os;
+ }
+
+ template<class T>
+ std::ostream& operator<<(std::ostream& os, const std::vector<T>& values) {
+ os << "[";
+ for (size_t i = 0; i < values.size(); ++i) {
+ const T & x = values[i];
+ os << x;
+ if (i != values.size() - 1) {
+ os << ", ";
+ }
+ }
+ os << "]";
+ return os;
+ }
+
+ template<class T>
+ std::ostream& operator<<(std::ostream& os, const std::unordered_set<T>& values) {
+ os << "{";
+ for (const T& v: values) {
+ os << v << ", ";
+ }
+ os << "}";
+ return os;
+ }
+
+ template<class T1,class T2>
+ std::ostream& operator<<(std::ostream& os, const std::unordered_map<T1,T2>& values) {
+ os << "{";
+ for (const auto& kv: values) {
+ os << kv.first << ": " << kv.second << ", ";
+ }
+ os << "}";
+ return os;
+ }
+
+ /* For debug prints, see the DBG() macro */
+ template<typename H1>
+ std::ostream& show(std::ostream& out, const char* label, H1&& value) {
+ return out << label << "=" << std::forward<H1>(value) << '\n';
+ }
+
+ template<typename H1, typename ...T>
+ std::ostream& show(std::ostream& out, const char* label, H1&& value, T&&... rest) {
+ const char* pcomma = strchr(label, ',');
+ return show(out.write(label, pcomma - label) << "="
+ << std::forward<H1>(value)
+ << ',',
+ pcomma + 1,
+ std::forward<T>(rest)...);
+ }
+
+ void dummy();
+}
diff --git a/contrib/QuadMeshingTools/dataDiskQuadrangulationsSplit.hpp b/contrib/QuadMeshingTools/dataDiskQuadrangulationsSplit.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..faf864ec76b5c5db6d2fc4dca3a6e8e8f65177d3
--- /dev/null
+++ b/contrib/QuadMeshingTools/dataDiskQuadrangulationsSplit.hpp
@@ -0,0 +1,16017 @@
+#pragma once
+#include <string>
+
+// #v_boundary #v_interior #quads q1v1 q1v2 q1v3 q1v4 q2v1 q2v2 q2v3 q2v4 ... qNv1 qNv2 qNv3 qNv4
+const char* data_dqrgl_block0 =
+ "4 0 1 0 1 2 3\n"
+ "4 4 5 4 5 2 3 4 7 6 5 4 3 0 7 6 7 0 1 5 6 1 2\n"
+ "6 0 2 0 3 4 5 0 1 2 3\n"
+ "6 1 3 6 3 4 5 6 1 2 3 6 5 0 1\n"
+ "6 2 4 6 3 4 5 6 7 2 3 6 5 0 7 2 7 0 1\n"
+ "6 3 5 0 6 4 5 0 8 7 6 0 1 2 8 7 8 2 3 6 7 3 4\n"
+ "6 4 6 6 3 4 5 6 7 2 3 6 9 8 7 6 5 0 9 8 9 0 1 2 7 8 1\n"
+ "6 4 6 0 3 4 5 0 7 6 3 0 1 8 7 8 1 2 9 6 7 8 9 3 6 9 2\n"
+ "6 4 6 0 6 4 5 0 8 7 6 0 1 9 8 9 1 2 3 7 8 9 3 6 7 3 4\n"
+ "6 4 6 0 6 4 5 0 8 7 6 0 1 2 8 7 8 2 9 6 7 9 4 4 9 2 3\n"
+ "8 0 3 0 5 6 7 0 3 4 5 0 1 2 3\n"
+ "8 0 3 0 5 6 7 0 1 4 5 4 1 2 3\n"
+ "8 1 4 8 5 6 7 8 3 4 5 8 1 2 3 8 7 0 1\n"
+ "8 1 4 0 5 6 7 0 8 4 5 0 1 2 8 4 8 2 3\n"
+ "8 2 5 8 5 6 7 8 3 4 5 8 9 2 3 8 7 0 9 2 9 0 1\n"
+ "8 2 5 0 5 6 7 0 8 4 5 0 1 9 8 9 1 2 3 4 8 9 3\n"
+ "8 2 5 0 8 6 7 0 3 9 8 0 1 2 3 9 3 4 5 8 9 5 6\n"
+ "8 2 5 0 8 6 7 0 9 4 8 0 1 2 9 4 9 2 3 8 4 5 6\n"
+ "8 3 6 8 6 7 9 8 4 5 6 8 2 3 4 8 9 10 2 2 10 0 1 7 0 10 9\n"
+ "8 3 6 8 5 6 7 8 9 4 5 8 10 2 9 8 7 0 10 2 10 0 1 4 9 2 3\n"
+ "8 3 6 8 9 6 7 8 3 4 9 8 10 2 3 8 7 0 10 2 10 0 1 9 4 5 6\n"
+ "8 3 6 0 5 6 7 0 8 4 5 0 1 9 8 9 1 2 10 4 8 9 10 4 10 2 3\n"
+ "8 3 6 0 5 6 7 0 9 8 5 0 1 10 9 10 1 2 3 8 9 10 3 5 8 3 4\n"
+ "8 3 6 0 8 6 7 0 9 4 8 0 1 10 9 10 1 2 3 4 9 10 3 8 4 5 6\n"
+ "8 4 7 8 5 6 7 8 3 4 5 8 9 2 3 8 11 10 9 8 7 0 11 10 11 0 1 2 9 10 1\n"
+ "8 4 7 8 5 6 7 8 9 4 5 8 11 10 9 8 7 0 11 11 0 1 2 10 11 2 3 4 9 10 3\n"
+ "8 4 7 8 9 6 7 8 11 10 9 8 3 4 11 8 7 0 3 3 0 1 2 10 11 4 5 9 10 5 6\n"
+ "8 4 7 8 6 7 9 8 10 5 6 8 2 3 10 8 9 11 2 2 11 0 1 5 10 3 4 7 0 11 9\n"
+ "8 4 7 8 9 10 11 8 5 6 9 8 3 4 5 8 11 0 3 3 0 1 2 9 6 7 10 10 7 0 11\n"
+ "8 4 7 8 9 7 10 8 4 5 9 8 2 3 4 8 10 11 2 2 11 0 1 9 5 6 7 7 0 11 10\n"
+ "8 4 7 8 6 7 9 8 4 5 6 8 2 3 4 8 9 10 2 2 10 11 1 7 11 10 9 7 0 1 11\n"
+ "8 4 7 8 6 9 10 8 4 5 6 8 2 3 4 8 10 11 2 2 11 0 1 9 0 11 10 6 7 0 9\n"
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+ "12 4 9 12 9 10 11 12 14 13 9 12 15 6 14 12 11 0 15 15 0 3 4 0 1 2 3 6 15 4 5 13 14 6 7 9 13 7 8\n"
+ "12 4 9 12 13 10 11 12 14 8 13 12 15 6 14 12 11 0 15 15 0 3 4 0 1 2 3 6 15 4 5 8 14 6 7 13 8 9 10\n"
+ "12 4 9 12 8 11 13 12 6 7 8 12 14 5 6 12 13 15 14 14 15 2 3 15 0 1 2 5 14 3 4 8 9 10 11 11 0 15 13\n"
+ "12 4 9 12 13 10 11 12 7 14 13 12 5 6 7 12 11 0 5 5 0 3 4 0 1 2 3 14 7 8 15 13 14 15 10 10 15 8 9\n"
+ "12 4 9 12 13 14 11 12 7 15 13 12 5 6 7 12 11 0 5 5 0 3 4 0 1 2 3 15 7 8 9 13 15 9 14 14 9 10 11\n"
+ "12 4 9 12 9 10 11 12 14 13 9 12 5 6 14 12 11 0 5 5 0 3 4 0 1 2 3 13 14 6 15 6 7 8 15 9 13 15 8\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 5 6 15 12 11 0 5 5 0 3 4 0 1 2 3 14 15 6 9 6 7 8 9 13 14 9 10\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 5 6 15 12 11 0 5 5 0 3 4 0 1 2 3 14 15 6 7 14 7 8 9 13 14 9 10\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 5 6 15 12 11 0 5 5 0 3 4 0 1 2 3 14 15 6 7 13 14 7 8 13 8 9 10\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 5 6 15 12 11 0 5 5 0 3 4 0 1 2 3 14 15 6 7 13 14 7 10 10 7 8 9\n"
+ "12 4 9 12 13 8 11 12 15 14 13 12 5 6 15 12 11 0 5 5 0 3 4 0 1 2 3 14 15 6 7 13 14 7 8 8 9 10 11\n"
+ "12 4 9 12 13 14 11 12 15 8 13 12 5 6 15 12 11 0 5 5 0 3 4 0 1 2 3 8 15 6 7 13 8 9 14 14 9 10 11\n"
+ "12 4 9 12 8 13 14 12 6 7 8 12 4 5 6 12 14 15 4 4 15 2 3 15 0 1 2 8 9 10 13 13 0 15 14 13 10 11 0\n"
+ "12 4 9 12 13 14 11 12 7 8 13 12 5 6 7 12 11 0 5 5 0 3 4 0 1 2 3 13 8 15 14 8 9 10 15 14 15 10 11\n"
+ "12 4 9 12 13 11 14 12 6 7 13 12 4 5 6 12 14 15 4 4 15 2 3 15 0 1 2 13 7 10 11 7 8 9 10 11 0 15 14\n"
+ "12 4 9 12 10 11 13 12 8 9 10 12 6 7 8 12 13 14 6 6 14 4 5 13 15 4 14 4 15 2 3 15 0 1 2 11 0 15 13\n"
+ "12 4 9 12 9 10 11 12 7 8 9 12 5 6 7 12 11 13 5 5 13 14 4 11 0 14 13 14 0 1 15 15 1 2 3 4 14 15 3\n"
+ "12 4 9 12 10 11 13 12 8 9 10 12 6 7 8 12 13 14 6 6 14 4 5 13 15 4 14 4 15 0 3 3 0 1 2 11 0 15 13\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 5 6 13 12 11 14 5 5 14 15 4 11 0 15 14 15 0 1 2 4 15 2 3 8 13 6 7\n"
+ "12 4 9 12 9 10 11 12 7 8 9 12 14 13 7 12 11 15 14 14 15 3 4 11 0 3 15 3 0 1 2 13 14 4 5 7 13 5 6\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 14 6 13 12 11 15 14 14 15 3 4 11 0 3 15 3 0 1 2 6 14 4 5 8 13 6 7\n"
+ "12 4 9 12 13 10 11 12 7 8 13 12 14 6 7 12 11 15 14 14 15 3 4 11 0 3 15 3 0 1 2 6 14 4 5 13 8 9 10\n"
+ "12 4 9 12 10 11 13 12 8 9 10 12 4 5 8 12 13 14 4 4 14 2 3 13 15 2 14 2 15 0 1 8 5 6 7 11 0 15 13\n"
+ "12 4 9 12 13 10 11 12 7 14 13 12 5 6 7 12 11 15 5 5 15 3 4 11 0 3 15 3 0 1 2 14 7 8 9 13 14 9 10\n"
+ "12 4 9 12 10 11 13 12 6 9 10 12 4 5 6 12 13 14 4 4 14 2 3 13 15 2 14 2 15 0 1 9 6 7 8 11 0 15 13\n"
+ "12 4 9 12 9 10 11 12 14 13 9 12 5 6 14 12 11 15 5 5 15 3 4 11 0 3 15 3 0 1 2 13 14 6 7 9 13 7 8\n"
+ "12 4 9 12 13 10 11 12 14 8 13 12 5 6 14 12 11 15 5 5 15 3 4 11 0 3 15 3 0 1 2 8 14 6 7 13 8 9 10\n"
+ "12 4 9 12 9 10 13 12 14 8 9 12 5 6 14 12 13 15 5 5 15 3 4 13 0 3 15 3 0 1 2 8 14 6 7 10 11 0 13\n"
+ "12 4 9 12 9 13 14 12 7 8 9 12 5 6 7 12 14 15 5 5 15 3 4 14 0 3 15 3 0 1 2 9 10 11 13 13 11 0 14\n"
+ "12 4 9 12 8 11 13 12 6 7 8 12 4 5 6 12 13 14 4 4 14 2 3 13 15 2 14 2 15 0 1 8 9 10 11 11 0 15 13\n"
+ "12 4 9 12 13 10 14 12 7 8 13 12 5 6 7 12 14 15 5 5 15 3 4 14 0 3 15 3 0 1 2 13 8 9 10 10 11 0 14\n"
+ "12 4 9 12 9 10 11 12 7 8 9 12 5 6 7 12 11 13 5 5 13 14 4 11 0 14 13 4 14 0 15 0 1 2 15 4 15 2 3\n"
+ "12 4 9 12 9 10 11 12 7 8 9 12 13 6 7 12 11 14 13 13 14 15 4 11 0 15 14 4 15 0 3 0 1 2 3 6 13 4 5\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 5 6 13 12 11 14 5 5 14 15 4 11 0 15 14 4 15 0 3 0 1 2 3 8 13 6 7\n"
+ "12 4 9 12 13 10 11 12 7 8 13 12 5 6 7 12 11 14 5 5 14 15 4 11 0 15 14 4 15 0 3 0 1 2 3 13 8 9 10\n"
+ "12 4 9 12 9 10 11 12 7 8 9 12 13 4 7 12 11 14 13 13 14 15 2 11 0 15 14 2 15 0 1 4 13 2 3 7 4 5 6\n"
+ "12 4 9 12 9 10 11 12 5 6 9 12 13 4 5 12 11 14 13 13 14 15 2 11 0 15 14 2 15 0 1 4 13 2 3 9 6 7 8\n"
+ "12 4 9 12 7 10 11 12 5 6 7 12 13 4 5 12 11 14 13 13 14 15 2 11 0 15 14 2 15 0 1 4 13 2 3 7 8 9 10\n"
+ "12 4 9 12 13 10 11 12 7 8 13 12 3 4 7 12 11 14 3 3 14 15 2 11 0 15 14 2 15 0 1 7 4 5 6 13 8 9 10\n"
+ "12 4 9 12 9 10 11 12 5 13 9 12 3 4 5 12 11 14 3 3 14 15 2 11 0 15 14 2 15 0 1 13 5 6 7 9 13 7 8\n"
+ "12 4 9 12 13 10 11 12 5 8 13 12 3 4 5 12 11 14 3 3 14 15 2 11 0 15 14 2 15 0 1 8 5 6 7 13 8 9 10\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 3 4 13 12 11 14 3 3 14 15 2 11 0 15 14 2 15 0 1 8 13 4 7 4 5 6 7\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 3 4 13 12 11 14 3 3 14 15 2 11 0 15 14 2 15 0 1 8 13 4 5 8 5 6 7\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 14 6 13 12 11 15 14 14 15 1 2 11 0 1 15 6 14 2 5 2 3 4 5 8 13 6 7\n"
+ "12 4 9 12 13 10 11 12 7 8 13 12 14 6 7 12 11 15 14 14 15 1 2 11 0 1 15 6 14 2 5 2 3 4 5 13 8 9 10\n"
+ "12 4 9 12 13 10 11 12 7 8 13 12 14 4 7 12 11 15 14 14 15 1 2 11 0 1 15 4 14 2 3 7 4 5 6 13 8 9 10\n"
+ "12 4 9 12 9 10 11 12 5 6 9 12 14 13 5 12 11 15 14 14 15 1 2 11 0 1 15 13 14 2 3 5 13 3 4 9 6 7 8\n"
+ "12 4 9 12 13 10 11 12 5 6 13 12 14 4 5 12 11 15 14 14 15 1 2 11 0 1 15 4 14 2 3 13 6 9 10 6 7 8 9\n"
+ "12 4 9 12 13 10 11 12 5 6 13 12 14 4 5 12 11 15 14 14 15 1 2 11 0 1 15 4 14 2 3 13 6 7 10 10 7 8 9\n"
+ "12 4 9 12 13 10 11 12 5 14 13 12 3 4 5 12 11 15 3 3 15 1 2 11 0 1 15 14 5 6 9 9 6 7 8 13 14 9 10\n"
+ "12 4 9 12 13 10 11 12 5 14 13 12 3 4 5 12 11 15 3 3 15 1 2 11 0 1 15 14 5 6 7 13 14 7 10 10 7 8 9\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 3 4 13 12 11 14 3 3 14 1 2 11 0 1 14 8 13 4 15 4 5 6 15 8 15 6 7\n"
+ "12 4 9 12 13 10 11 12 14 8 13 12 3 4 14 12 11 15 3 3 15 1 2 11 0 1 15 8 14 4 7 4 5 6 7 13 8 9 10\n"
+ "12 4 9 12 9 10 11 12 7 8 9 12 13 6 7 12 11 0 13 13 0 1 14 14 1 15 5 1 2 3 15 5 15 3 4 6 13 14 5\n"
+ "12 4 9 12 13 10 11 12 7 8 13 12 14 6 7 12 11 0 14 14 0 1 15 15 1 4 5 1 2 3 4 6 14 15 5 13 8 9 10\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 7 8 15 12 11 0 7 7 0 1 6 6 1 4 5 1 2 3 4 14 15 8 9 13 14 9 10\n"
+ "12 4 9 12 13 14 15 12 9 10 13 12 7 8 9 12 15 0 7 7 0 1 6 6 1 4 5 1 2 3 4 13 10 11 14 14 11 0 15\n"
+ "12 4 9 12 9 10 11 12 7 8 9 12 13 6 7 12 11 0 13 13 0 1 14 14 1 2 15 15 2 3 4 14 15 4 5 6 13 14 5\n"
+ "12 4 9 12 10 11 13 12 8 9 10 12 6 7 8 12 13 14 6 6 14 0 5 5 0 1 15 15 1 2 3 5 15 3 4 11 0 14 13\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 15 14 13 12 11 0 15 15 0 1 6 6 1 2 5 5 2 3 4 14 15 6 7 8 13 14 7\n"
+ "12 4 9 12 10 11 13 12 8 9 10 12 14 7 8 12 13 15 14 14 15 0 5 5 0 1 4 4 1 2 3 7 14 5 6 11 0 15 13\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 7 8 15 12 11 0 7 7 0 1 6 6 1 2 5 5 2 3 4 14 15 8 9 13 14 9 10\n"
+ "12 4 9 12 10 11 13 12 14 9 10 12 6 7 14 12 13 15 6 6 15 0 5 5 0 1 4 4 1 2 3 9 14 7 8 11 0 15 13\n"
+ "12 4 9 12 13 14 15 12 9 10 13 12 7 8 9 12 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 13 10 11 14 14 11 0 15\n"
+ "12 4 9 12 13 11 14 12 8 9 13 12 6 7 8 12 14 15 6 6 15 0 5 5 0 1 4 4 1 2 3 13 9 10 11 11 0 15 14\n"
+ "12 4 9 12 10 11 13 12 8 9 10 12 6 7 8 12 13 14 6 6 14 15 5 5 15 1 4 4 1 2 3 11 15 14 13 11 0 1 15\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 7 8 15 12 11 0 7 7 0 1 6 6 1 2 3 6 3 4 5 14 15 8 9 13 14 9 10\n"
+ "12 4 9 12 10 11 13 12 14 9 10 12 6 7 14 12 13 15 6 6 15 0 5 5 0 1 2 5 2 3 4 9 14 7 8 11 0 15 13\n"
+ "12 4 9 12 13 14 15 12 9 10 13 12 7 8 9 12 15 0 7 7 0 1 6 6 1 2 3 6 3 4 5 13 10 11 14 14 11 0 15\n"
+ "12 4 9 12 13 11 14 12 8 9 13 12 6 7 8 12 14 15 6 6 15 0 5 5 0 1 2 5 2 3 4 13 9 10 11 11 0 15 14\n"
+ "12 4 9 12 10 11 13 12 8 9 10 12 6 7 8 12 13 14 6 6 14 15 5 5 15 1 2 5 2 3 4 11 15 14 13 11 0 1 15\n"
+;
+
+const char* data_dqrgl_block1 =
+ "12 4 9 12 13 10 11 12 7 8 13 12 14 4 7 12 11 0 14 14 0 1 15 15 1 2 3 4 14 15 3 7 4 5 6 13 8 9 10\n"
+ "12 4 9 12 10 11 13 12 8 9 10 12 14 5 8 12 13 15 14 14 15 0 3 3 0 1 2 5 14 3 4 8 5 6 7 11 0 15 13\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 15 14 13 12 11 0 15 15 0 1 4 4 1 2 3 14 15 4 5 8 13 14 5 8 5 6 7\n"
+ "12 4 9 12 9 10 11 12 13 6 9 12 15 14 13 12 11 0 15 15 0 1 4 4 1 2 3 14 15 4 5 6 13 14 5 9 6 7 8\n"
+ "12 4 9 12 7 10 11 12 13 6 7 12 15 14 13 12 11 0 15 15 0 1 4 4 1 2 3 14 15 4 5 6 13 14 5 7 8 9 10\n"
+ "12 4 9 12 7 8 9 12 13 6 7 12 15 14 13 12 9 0 15 15 0 1 4 4 1 2 3 14 15 4 5 6 13 14 5 9 10 11 0\n"
+ "12 4 9 12 8 11 13 12 6 7 8 12 14 5 6 12 13 15 14 14 15 0 3 3 0 1 2 5 14 3 4 8 9 10 11 11 0 15 13\n"
+ "12 4 9 12 13 14 15 12 9 10 13 12 5 6 9 12 15 0 5 5 0 1 4 4 1 2 3 9 6 7 8 13 10 11 14 14 11 0 15\n"
+ "12 4 9 12 13 11 14 12 8 9 13 12 4 5 8 12 14 15 4 4 15 0 3 3 0 1 2 8 5 6 7 13 9 10 11 11 0 15 14\n"
+ "12 4 9 12 10 11 13 12 8 9 10 12 4 5 8 12 13 14 4 4 14 15 3 3 15 1 2 8 5 6 7 11 15 14 13 11 0 1 15\n"
+ "12 4 9 12 13 10 11 12 7 14 13 12 5 6 7 12 11 0 5 5 0 1 4 4 1 2 3 14 7 8 15 13 14 15 10 10 15 8 9\n"
+ "12 4 9 12 13 14 11 12 7 15 13 12 5 6 7 12 11 0 5 5 0 1 4 4 1 2 3 15 7 8 9 13 15 9 14 14 9 10 11\n"
+ "12 4 9 12 13 10 14 12 7 15 13 12 5 6 7 12 14 0 5 5 0 1 4 4 1 2 3 15 7 8 9 13 15 9 10 10 11 0 14\n"
+ "12 4 9 12 13 14 15 12 7 10 13 12 5 6 7 12 15 0 5 5 0 1 4 4 1 2 3 10 7 8 9 13 10 11 14 14 11 0 15\n"
+ "12 4 9 12 13 11 14 12 6 9 13 12 4 5 6 12 14 15 4 4 15 0 3 3 0 1 2 9 6 7 8 13 9 10 11 11 0 15 14\n"
+ "12 4 9 12 9 10 11 12 14 13 9 12 5 6 14 12 11 0 5 5 0 1 4 4 1 2 3 13 14 6 15 6 7 8 15 9 13 15 8\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 5 6 15 12 11 0 5 5 0 1 4 4 1 2 3 14 15 6 9 6 7 8 9 13 14 9 10\n"
+ "12 4 9 12 10 11 13 12 14 9 10 12 4 5 14 12 13 15 4 4 15 0 3 3 0 1 2 9 14 5 8 5 6 7 8 11 0 15 13\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 5 6 15 12 11 0 5 5 0 1 4 4 1 2 3 14 15 6 7 14 7 8 9 13 14 9 10\n"
+ "12 4 9 12 10 11 13 12 14 9 10 12 4 5 14 12 13 15 4 4 15 0 3 3 0 1 2 9 14 5 6 9 6 7 8 11 0 15 13\n"
+ "12 4 9 12 10 11 13 12 14 7 10 12 4 5 14 12 13 15 4 4 15 0 3 3 0 1 2 7 14 5 6 10 7 8 9 11 0 15 13\n"
+ "12 4 9 12 9 10 13 12 15 14 9 12 5 6 15 12 13 0 5 5 0 1 4 4 1 2 3 14 15 6 7 9 14 7 8 10 11 0 13\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 5 6 15 12 11 0 5 5 0 1 4 4 1 2 3 14 15 6 7 13 14 7 10 10 7 8 9\n"
+ "12 4 9 12 13 8 11 12 15 14 13 12 5 6 15 12 11 0 5 5 0 1 4 4 1 2 3 14 15 6 7 13 14 7 8 8 9 10 11\n"
+ "12 4 9 12 13 8 9 12 15 14 13 12 5 6 15 12 9 0 5 5 0 1 4 4 1 2 3 14 15 6 7 13 14 7 8 9 10 11 0\n"
+ "12 4 9 12 9 13 14 12 15 8 9 12 5 6 15 12 14 0 5 5 0 1 4 4 1 2 3 8 15 6 7 9 10 11 13 13 11 0 14\n"
+ "12 4 9 12 8 11 13 12 14 7 8 12 4 5 14 12 13 15 4 4 15 0 3 3 0 1 2 7 14 5 6 8 9 10 11 11 0 15 13\n"
+ "12 4 9 12 13 14 11 12 15 8 13 12 5 6 15 12 11 0 5 5 0 1 4 4 1 2 3 8 15 6 7 13 8 9 14 14 9 10 11\n"
+ "12 4 9 12 13 10 14 12 15 8 13 12 5 6 15 12 14 0 5 5 0 1 4 4 1 2 3 8 15 6 7 13 8 9 10 10 11 0 14\n"
+ "12 4 9 12 13 14 11 12 7 8 13 12 5 6 7 12 11 0 5 5 0 1 4 4 1 2 3 13 8 15 14 8 9 10 15 14 15 10 11\n"
+ "12 4 9 12 13 14 15 12 7 8 13 12 5 6 7 12 15 0 5 5 0 1 4 4 1 2 3 13 8 11 14 8 9 10 11 14 11 0 15\n"
+ "12 4 9 12 13 11 14 12 6 7 13 12 4 5 6 12 14 15 4 4 15 0 3 3 0 1 2 13 7 10 11 7 8 9 10 11 0 15 14\n"
+ "12 4 9 12 13 14 15 12 7 8 13 12 5 6 7 12 15 0 5 5 0 1 4 4 1 2 3 13 8 9 14 14 9 10 11 14 11 0 15\n"
+ "12 4 9 12 13 14 15 12 7 8 13 12 5 6 7 12 15 0 5 5 0 1 4 4 1 2 3 13 8 9 14 14 9 10 15 15 10 11 0\n"
+ "12 4 9 12 8 9 13 12 6 7 8 12 14 3 6 12 13 15 14 14 15 0 1 3 14 1 2 6 3 4 5 9 0 15 13 9 10 11 0\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 15 14 13 12 11 0 15 15 0 1 2 14 15 2 3 8 13 14 3 8 3 4 7 7 4 5 6\n"
+ "12 4 9 12 10 11 13 12 6 7 10 12 2 3 6 12 13 14 2 2 14 15 1 6 3 4 5 10 7 8 9 11 15 14 13 11 0 1 15\n"
+ "12 4 9 12 13 14 15 12 7 8 13 12 3 4 7 12 15 0 3 3 0 1 2 7 4 5 6 13 8 11 14 8 9 10 11 14 11 0 15\n"
+ "12 4 9 12 13 11 14 12 6 7 13 12 2 3 6 12 14 15 2 2 15 0 1 6 3 4 5 13 7 10 11 7 8 9 10 11 0 15 14\n"
+ "12 4 9 12 13 14 15 12 7 8 13 12 3 4 7 12 15 0 3 3 0 1 2 7 4 5 6 13 8 9 14 14 9 10 11 14 11 0 15\n"
+ "12 4 9 12 10 11 13 12 8 9 10 12 4 5 8 12 13 14 4 4 14 15 3 8 5 6 7 11 15 14 13 11 0 3 15 3 0 1 2\n"
+ "12 4 9 12 10 11 13 12 4 7 10 12 2 3 4 12 13 14 2 2 14 15 1 7 4 5 6 10 7 8 9 11 15 14 13 11 0 1 15\n"
+ "12 4 9 12 13 10 11 12 5 14 13 12 3 4 5 12 11 0 3 3 0 1 2 14 5 6 15 13 14 15 10 10 15 6 9 6 7 8 9\n"
+ "12 4 9 12 13 14 15 12 5 8 13 12 3 4 5 12 15 0 3 3 0 1 2 8 5 6 7 13 8 9 14 14 9 10 11 14 11 0 15\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 3 4 13 12 11 0 3 3 0 1 2 8 13 4 14 4 5 15 14 15 5 6 7 8 14 15 7\n"
+ "12 4 9 12 9 10 11 12 14 13 9 12 3 4 14 12 11 0 3 3 0 1 2 13 14 4 15 4 5 8 15 8 5 6 7 9 13 15 8\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 3 4 15 12 11 0 3 3 0 1 2 14 15 4 9 4 5 8 9 8 5 6 7 13 14 9 10\n"
+ "12 4 9 12 10 11 13 12 14 9 10 12 2 3 14 12 13 15 2 2 15 0 1 9 14 3 8 3 4 7 8 7 4 5 6 11 0 15 13\n"
+ "12 4 9 12 10 11 13 12 14 9 10 12 2 3 14 12 13 15 2 2 15 0 1 9 14 3 8 3 4 5 8 8 5 6 7 11 0 15 13\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 3 4 15 12 11 0 3 3 0 1 2 14 15 4 7 4 5 6 7 14 7 8 9 13 14 9 10\n"
+ "12 4 9 12 10 11 13 12 14 9 10 12 2 3 14 12 13 15 2 2 15 0 1 9 14 3 6 3 4 5 6 9 6 7 8 11 0 15 13\n"
+ "12 4 9 12 9 10 13 12 14 8 9 12 3 4 14 12 13 0 3 3 0 1 2 8 14 4 15 4 5 6 15 8 15 6 7 10 11 0 13\n"
+ "12 4 9 12 10 11 13 12 14 7 10 12 2 3 14 12 13 15 2 2 15 0 1 7 14 3 6 3 4 5 6 10 7 8 9 11 0 15 13\n"
+ "12 4 9 12 9 10 13 12 15 14 9 12 3 4 15 12 13 0 3 3 0 1 2 14 15 4 7 4 5 6 7 9 14 7 8 10 11 0 13\n"
+ "12 4 9 12 13 8 9 12 15 14 13 12 3 4 15 12 9 0 3 3 0 1 2 14 15 4 7 4 5 6 7 13 14 7 8 9 10 11 0\n"
+ "12 4 9 12 9 13 14 12 15 8 9 12 3 4 15 12 14 0 3 3 0 1 2 8 15 4 7 4 5 6 7 9 10 11 13 13 11 0 14\n"
+ "12 4 9 12 8 11 13 12 14 7 8 12 2 3 14 12 13 15 2 2 15 0 1 7 14 3 6 3 4 5 6 8 9 10 11 11 0 15 13\n"
+ "12 4 9 12 13 10 14 12 15 8 13 12 3 4 15 12 14 0 3 3 0 1 2 8 15 4 7 4 5 6 7 13 8 9 10 10 11 0 14\n"
+ "12 4 9 12 8 9 13 12 14 7 8 12 2 3 14 12 13 15 2 2 15 0 1 7 14 3 6 3 4 5 6 9 0 15 13 9 10 11 0\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 3 4 15 12 11 0 3 3 0 1 2 14 15 4 5 14 5 8 9 5 6 7 8 13 14 9 10\n"
+ "12 4 9 12 10 11 13 12 14 9 10 12 2 3 14 12 13 15 2 2 15 0 1 9 14 3 4 9 4 7 8 4 5 6 7 11 0 15 13\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 3 4 15 12 11 0 3 3 0 1 2 14 15 4 5 14 5 6 9 9 6 7 8 13 14 9 10\n"
+ "12 4 9 12 10 11 13 12 14 9 10 12 2 3 14 12 13 15 2 2 15 0 1 9 14 3 4 9 4 5 8 8 5 6 7 11 0 15 13\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 3 4 15 12 11 0 3 3 0 1 2 14 15 4 5 14 5 6 7 13 14 7 10 10 7 8 9\n"
+ "12 4 9 12 13 8 9 12 15 14 13 12 3 4 15 12 9 0 3 3 0 1 2 14 15 4 5 14 5 6 7 13 14 7 8 9 10 11 0\n"
+ "12 4 9 12 8 9 13 12 14 7 8 12 2 3 14 12 13 15 2 2 15 0 1 7 14 3 4 7 4 5 6 9 0 15 13 9 10 11 0\n"
+ "12 4 9 12 13 10 11 12 15 14 13 12 3 4 15 12 11 0 3 3 0 1 2 14 15 4 5 13 14 5 10 10 5 6 9 9 6 7 8\n"
+ "12 4 9 12 6 7 13 12 14 5 6 12 2 3 14 12 13 15 2 2 15 0 1 5 14 3 4 7 0 15 13 7 8 11 0 11 8 9 10\n"
+ "12 4 9 12 13 10 11 12 5 6 13 12 3 4 5 12 11 0 3 3 0 1 2 13 6 14 10 6 7 15 14 15 7 8 9 10 14 15 9\n"
+ "12 4 9 12 13 14 15 12 5 6 13 12 3 4 5 12 15 0 3 3 0 1 2 13 6 11 14 6 7 10 11 10 7 8 9 14 11 0 15\n"
+ "12 4 9 12 13 11 14 12 4 5 13 12 2 3 4 12 14 15 2 2 15 0 1 13 5 10 11 5 6 9 10 9 6 7 8 11 0 15 14\n"
+ "12 4 9 12 13 11 14 12 4 5 13 12 2 3 4 12 14 15 2 2 15 0 1 13 5 10 11 5 6 7 10 10 7 8 9 11 0 15 14\n"
+ "12 4 9 12 13 14 15 12 5 6 13 12 3 4 5 12 15 0 3 3 0 1 2 13 6 9 14 6 7 8 9 14 9 10 11 14 11 0 15\n"
+ "12 4 9 12 10 11 13 12 8 9 10 12 6 7 8 12 13 14 6 6 14 15 5 11 15 14 13 11 0 5 15 5 0 3 4 0 1 2 3\n"
+ "12 4 9 12 10 11 13 12 8 9 10 12 6 7 8 12 13 14 6 6 14 15 5 11 15 14 13 11 0 5 15 5 0 1 4 4 1 2 3\n"
+ "12 4 9 12 9 10 11 12 7 8 9 12 13 6 7 12 11 0 13 6 13 0 14 0 1 15 14 15 1 4 5 1 2 3 4 6 14 15 5\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 15 14 13 12 11 0 15 14 15 0 7 0 1 6 7 6 1 4 5 1 2 3 4 8 13 14 7\n"
+ "12 4 9 12 9 10 11 12 7 8 9 12 13 6 7 12 11 0 13 6 13 0 5 0 1 14 5 14 1 2 15 15 2 3 4 5 14 15 4\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 15 14 13 12 11 0 15 14 15 0 7 0 1 6 7 6 1 2 5 5 2 3 4 8 13 14 7\n"
+ "12 4 9 12 9 10 11 12 7 8 9 12 13 6 7 12 11 0 13 6 13 0 14 0 1 15 14 15 1 2 3 15 3 4 5 6 14 15 5\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 15 14 13 12 11 0 15 14 15 0 7 0 1 6 7 6 1 2 3 6 3 4 5 8 13 14 7\n"
+ "12 4 9 12 9 10 11 12 13 8 9 12 14 6 13 12 11 0 14 6 14 0 5 0 1 15 5 15 1 2 3 5 15 3 4 8 13 6 7\n"
+ "12 4 9 12 13 10 11 12 7 8 13 12 14 6 7 12 11 0 14 6 14 0 5 0 1 15 5 15 1 2 3 5 15 3 4 13 8 9 10\n"
+ "12 4 9 12 13 10 11 12 7 8 13 12 14 6 7 12 11 0 14 6 14 0 15 0 1 4 15 4 1 2 3 6 15 4 5 13 8 9 10\n"
+ "12 4 9 12 13 10 11 12 14 8 13 12 15 6 14 12 11 0 15 6 15 0 5 0 1 4 5 4 1 2 3 8 14 6 7 13 8 9 10\n"
+ "12 4 9 12 13 10 11 12 14 8 13 12 15 6 14 12 11 0 15 6 15 0 5 0 1 2 5 5 2 3 4 8 14 6 7 13 8 9 10\n"
+ "12 4 9 12 13 10 11 12 5 6 13 12 14 4 5 12 11 0 14 4 14 0 15 0 1 2 15 4 15 2 3 13 6 9 10 6 7 8 9\n"
+ "12 4 9 12 13 10 11 12 14 6 13 12 15 4 14 12 11 0 15 4 15 0 3 0 1 2 3 6 14 4 5 13 6 7 10 10 7 8 9\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 8 9 8 1 6 7 1 2 3 6 6 3 4 5\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 8 9 8 1 4 7 1 2 3 4 7 4 5 6\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 8 9 8 1 4 5 1 2 3 4 8 5 6 7\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 6 9 6 1 4 5 1 2 3 4 9 6 7 8\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 8 9 8 1 2 7 7 2 5 6 2 3 4 5\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 8 9 8 1 2 7 7 2 3 4 7 4 5 6\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8\n"
+ "14 0 6 0 11 12 13 0 7 10 11 0 1 6 7 6 1 2 5 5 2 3 4 10 7 8 9\n"
+ "14 0 6 0 11 12 13 0 7 8 11 0 1 6 7 6 1 2 5 5 2 3 4 11 8 9 10\n"
+ "14 0 6 0 9 12 13 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 9 10 11 12\n"
+ "14 0 6 0 9 10 13 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 10 11 12 13\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 8 9 8 1 2 3 8 3 6 7 3 4 5 6\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 8 9 8 1 2 3 8 3 4 7 7 4 5 6\n"
+ "14 0 6 0 11 12 13 0 9 10 11 0 1 4 9 4 1 2 3 9 4 5 8 8 5 6 7\n"
+ "14 0 6 0 11 12 13 0 7 8 11 0 1 4 7 4 1 2 3 7 4 5 6 11 8 9 10\n"
+ "14 0 6 0 9 12 13 0 7 8 9 0 1 4 7 4 1 2 3 7 4 5 6 9 10 11 12\n"
+ "14 0 6 0 9 10 13 0 7 8 9 0 1 4 7 4 1 2 3 7 4 5 6 10 11 12 13\n"
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+ "14 2 8 0 11 12 13 0 15 14 11 0 1 8 15 8 1 6 7 1 2 3 6 6 3 4 5 14 15 8 9 11 14 9 10\n"
+ "14 2 8 0 14 12 13 0 15 10 14 0 1 8 15 8 1 6 7 1 2 3 6 6 3 4 5 10 15 8 9 14 10 11 12\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 8 9 8 1 4 14 1 2 3 4 14 4 5 15 15 5 6 7 8 14 15 7\n"
+ "14 2 8 0 11 12 13 0 14 10 11 0 1 15 14 15 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 10 14 15 9\n"
+ "14 2 8 0 14 12 13 0 9 10 14 0 1 8 9 8 1 4 15 1 2 3 4 15 4 5 6 8 15 6 7 14 10 11 12\n"
+ "14 2 8 0 11 12 13 0 7 8 11 0 1 14 7 14 1 4 15 1 2 3 4 15 4 5 6 7 14 15 6 11 8 9 10\n"
+ "14 2 8 0 14 12 13 0 9 10 14 0 1 15 9 15 1 4 7 1 2 3 4 7 4 5 6 9 15 7 8 14 10 11 12\n"
+ "14 2 8 0 11 12 13 0 14 8 11 0 1 15 14 15 1 4 7 1 2 3 4 7 4 5 6 8 14 15 7 11 8 9 10\n"
+ "14 2 8 0 14 12 13 0 9 15 14 0 1 8 9 8 1 4 7 1 2 3 4 7 4 5 6 15 9 10 11 14 15 11 12\n"
+ "14 2 8 0 14 12 13 0 15 10 14 0 1 8 15 8 1 4 7 1 2 3 4 7 4 5 6 10 15 8 9 14 10 11 12\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 8 9 8 1 14 7 1 2 3 14 7 14 3 15 3 4 5 15 7 15 5 6\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 8 9 8 1 15 14 1 2 3 15 14 15 3 6 3 4 5 6 8 14 6 7\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 14 9 14 1 15 7 1 2 3 15 7 15 3 6 3 4 5 6 9 14 7 8\n"
+ "14 2 8 0 11 12 13 0 14 10 11 0 1 8 14 8 1 15 7 1 2 3 15 7 15 3 6 3 4 5 6 10 14 8 9\n"
+ "14 2 8 0 14 12 13 0 9 10 14 0 1 8 9 8 1 15 7 1 2 3 15 7 15 3 6 3 4 5 6 14 10 11 12\n"
+ "14 2 8 0 11 12 13 0 14 10 11 0 1 8 14 8 1 15 7 1 2 3 15 7 15 3 4 7 4 5 6 10 14 8 9\n"
+ "14 2 8 0 14 12 13 0 9 10 14 0 1 8 9 8 1 15 7 1 2 3 15 7 15 3 4 7 4 5 6 14 10 11 12\n"
+ "14 2 8 0 14 12 13 0 9 10 14 0 1 8 9 8 1 15 5 1 2 3 15 5 15 3 4 8 5 6 7 14 10 11 12\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 8 9 8 1 15 14 1 2 3 15 14 15 3 4 8 14 4 7 4 5 6 7\n"
+ "14 2 8 0 11 12 13 0 7 10 11 0 1 6 7 6 1 15 14 1 2 3 15 14 15 3 4 6 14 4 5 10 7 8 9\n"
+ "14 2 8 0 14 12 13 0 9 10 14 0 1 6 9 6 1 15 5 1 2 3 15 5 15 3 4 9 6 7 8 14 10 11 12\n"
+ "14 2 8 0 11 12 13 0 14 10 11 0 1 6 14 6 1 15 5 1 2 3 15 5 15 3 4 10 14 6 7 10 7 8 9\n"
+ "14 2 8 0 11 12 13 0 14 10 11 0 1 15 14 15 1 4 5 1 2 3 4 10 14 15 5 10 5 6 9 9 6 7 8\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 8 9 8 1 2 7 7 2 14 6 2 3 15 14 15 3 4 5 6 14 15 5\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 14 9 14 1 2 15 15 2 7 8 2 3 6 7 6 3 4 5 9 14 15 8\n"
+ "14 2 8 0 11 12 13 0 14 10 11 0 1 15 14 15 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 10 14 15 9\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 14 9 14 1 2 15 15 2 7 8 2 3 4 7 7 4 5 6 9 14 15 8\n"
+ "14 2 8 0 11 12 13 0 14 10 11 0 1 15 14 15 1 2 9 9 2 7 8 2 3 4 7 7 4 5 6 10 14 15 9\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 8 9 8 1 2 14 14 2 5 15 2 3 4 5 15 5 6 7 8 14 15 7\n"
+ "14 2 8 0 11 12 13 0 14 10 11 0 1 15 14 15 1 2 9 9 2 5 8 2 3 4 5 8 5 6 7 10 14 15 9\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 8 9 8 1 2 7 7 2 15 14 2 3 4 15 14 15 4 5 7 14 5 6\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 8 9 8 1 2 14 14 2 15 6 2 3 4 15 6 15 4 5 8 14 6 7\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 14 9 14 1 2 7 7 2 15 6 2 3 4 15 6 15 4 5 9 14 7 8\n"
+ "14 2 8 0 11 12 13 0 14 10 11 0 1 8 14 8 1 2 7 7 2 15 6 2 3 4 15 6 15 4 5 10 14 8 9\n"
+ "14 2 8 0 14 12 13 0 9 10 14 0 1 8 9 8 1 2 7 7 2 15 6 2 3 4 15 6 15 4 5 14 10 11 12\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 8 9 8 1 2 14 14 2 3 15 15 3 6 7 3 4 5 6 8 14 15 7\n"
+ "14 2 8 0 11 12 13 0 9 10 11 0 1 8 9 8 1 2 7 7 2 3 14 14 3 4 15 15 4 5 6 7 14 15 6\n"
+ "14 2 8 0 11 12 13 0 14 10 11 0 1 15 14 15 1 2 9 9 2 3 8 8 3 4 7 7 4 5 6 10 14 15 9\n"
+ "14 2 8 0 14 12 13 0 9 10 14 0 1 8 9 8 1 2 7 7 2 3 15 15 3 4 5 7 15 5 6 14 10 11 12\n"
+ "14 2 8 0 11 12 13 0 7 8 11 0 1 6 7 6 1 2 14 14 2 3 15 15 3 4 5 6 14 15 5 11 8 9 10\n"
+ "14 2 8 0 9 12 13 0 7 8 9 0 1 6 7 6 1 2 14 14 2 3 15 15 3 4 5 6 14 15 5 9 10 11 12\n"
+ "14 2 8 0 9 10 13 0 7 8 9 0 1 6 7 6 1 2 14 14 2 3 15 15 3 4 5 6 14 15 5 10 11 12 13\n"
+ "14 2 8 0 14 12 13 0 9 10 14 0 1 8 9 8 1 2 15 15 2 3 6 6 3 4 5 8 15 6 7 14 10 11 12\n"
+ "14 2 8 0 14 12 13 0 9 10 14 0 1 15 9 15 1 2 7 7 2 3 6 6 3 4 5 9 15 7 8 14 10 11 12\n"
+ "14 2 8 0 9 10 13 0 14 8 9 0 1 15 14 15 1 2 7 7 2 3 6 6 3 4 5 8 14 15 7 10 11 12 13\n"
+ "14 2 8 0 14 12 13 0 9 15 14 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 15 9 10 11 14 15 11 12\n"
+ "14 2 8 0 11 12 13 0 15 14 11 0 1 8 15 8 1 2 7 7 2 3 6 6 3 4 5 14 15 8 9 11 14 9 10\n"
+ "14 2 8 0 14 12 13 0 15 10 14 0 1 8 15 8 1 2 7 7 2 3 6 6 3 4 5 10 15 8 9 14 10 11 12\n"
+ "14 2 8 0 14 15 13 0 9 10 14 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 14 10 11 15 15 11 12 13\n"
+ "14 2 8 0 14 12 13 0 9 10 14 0 1 8 9 8 1 2 15 15 2 3 4 8 15 4 7 4 5 6 7 14 10 11 12\n"
+ "14 2 8 0 9 14 13 0 7 8 9 0 1 6 7 6 1 2 15 15 2 3 4 6 15 4 5 9 10 11 14 14 11 12 13\n"
+ "14 2 8 0 11 12 13 0 5 6 11 0 1 14 5 14 1 2 15 15 2 3 4 5 14 15 4 11 6 7 10 10 7 8 9\n"
+ "14 2 8 0 9 10 13 0 5 6 9 0 1 14 5 14 1 2 15 15 2 3 4 5 14 15 4 9 6 7 8 10 11 12 13\n"
+ "14 2 8 0 7 12 13 0 5 6 7 0 1 14 5 14 1 2 15 15 2 3 4 5 14 15 4 7 8 11 12 11 8 9 10\n"
+ "14 2 8 0 7 12 13 0 5 6 7 0 1 14 5 14 1 2 15 15 2 3 4 5 14 15 4 7 8 9 12 12 9 10 11\n"
+ "14 2 8 0 7 10 13 0 5 6 7 0 1 14 5 14 1 2 15 15 2 3 4 5 14 15 4 7 8 9 10 10 11 12 13\n"
+ "14 2 8 0 7 8 13 0 5 6 7 0 1 14 5 14 1 2 15 15 2 3 4 5 14 15 4 8 11 12 13 8 9 10 11\n"
+ "14 2 8 0 7 8 13 0 5 6 7 0 1 14 5 14 1 2 15 15 2 3 4 5 14 15 4 8 9 12 13 12 9 10 11\n"
+ "14 2 8 0 9 14 13 0 7 8 9 0 1 15 7 15 1 2 5 5 2 3 4 7 15 5 6 9 10 11 14 14 11 12 13\n"
+ "14 2 8 0 14 12 13 0 7 8 14 0 1 15 7 15 1 2 5 5 2 3 4 7 15 5 6 14 8 9 12 12 9 10 11\n"
+ "14 2 8 0 14 10 13 0 7 8 14 0 1 15 7 15 1 2 5 5 2 3 4 7 15 5 6 14 8 9 10 10 11 12 13\n"
+ "14 2 8 0 11 12 13 0 7 14 11 0 1 6 7 6 1 2 5 5 2 3 4 14 7 8 15 15 8 9 10 11 14 15 10\n"
+ "14 2 8 0 14 12 13 0 7 15 14 0 1 6 7 6 1 2 5 5 2 3 4 15 7 8 11 11 8 9 10 14 15 11 12\n"
+ "14 2 8 0 14 12 13 0 7 15 14 0 1 6 7 6 1 2 5 5 2 3 4 15 7 8 9 14 15 9 12 12 9 10 11\n"
+ "14 2 8 0 9 10 13 0 15 14 9 0 1 6 15 6 1 2 5 5 2 3 4 14 15 6 7 9 14 7 8 10 11 12 13\n"
+ "14 2 8 0 9 14 13 0 15 8 9 0 1 6 15 6 1 2 5 5 2 3 4 8 15 6 7 9 10 11 14 14 11 12 13\n"
+ "14 2 8 0 14 12 13 0 15 8 14 0 1 6 15 6 1 2 5 5 2 3 4 8 15 6 7 14 8 9 12 12 9 10 11\n"
+ "14 2 8 0 14 10 13 0 15 8 14 0 1 6 15 6 1 2 5 5 2 3 4 8 15 6 7 14 8 9 10 10 11 12 13\n"
+ "14 2 8 0 9 14 13 0 7 8 9 0 1 15 7 15 1 2 3 7 15 3 6 3 4 5 6 9 10 11 14 14 11 12 13\n"
+ "14 2 8 0 14 10 13 0 7 8 14 0 1 15 7 15 1 2 3 7 15 3 6 3 4 5 6 14 8 9 10 10 11 12 13\n"
+ "14 2 8 0 7 12 13 0 5 6 7 0 1 14 5 14 1 2 3 5 14 3 4 7 8 15 12 15 8 9 10 12 15 10 11\n"
+ "14 2 8 0 9 10 13 0 14 4 9 0 1 15 14 15 1 2 3 4 14 15 3 9 4 5 8 8 5 6 7 10 11 12 13\n"
+ "14 2 8 0 14 12 13 0 5 15 14 0 1 4 5 4 1 2 3 15 5 6 7 14 15 7 12 12 7 8 11 11 8 9 10\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 5 6 7 14 13 15 5 5 15 3 4 15 16 2 3 13 0 16 15 2 16 0 1\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 15 6 7 14 13 16 15 15 16 3 4 16 1 2 3 13 0 1 16 6 15 4 5\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 15 8 9 14 5 6 15 14 13 16 5 5 16 3 4 16 1 2 3 13 0 1 16 8 15 6 7\n"
+ "14 3 9 14 11 12 13 14 15 10 11 14 7 8 15 14 5 6 7 14 13 16 5 5 16 3 4 16 1 2 3 13 0 1 16 10 15 8 9\n"
+ "14 3 9 14 12 13 15 14 10 11 12 14 8 9 10 14 6 7 8 14 15 16 6 6 16 4 5 16 0 3 4 3 0 1 2 13 0 16 15\n"
+ "14 3 9 14 12 13 15 14 10 11 12 14 8 9 10 14 6 7 8 14 15 16 6 6 16 4 5 16 0 1 4 4 1 2 3 13 0 16 15\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 15 6 7 14 13 0 15 15 0 3 16 0 1 2 3 16 3 4 5 6 15 16 5\n"
+ "14 3 9 14 12 13 15 14 10 11 12 14 8 9 10 14 6 7 8 14 15 16 6 6 16 2 5 16 0 1 2 5 2 3 4 13 0 16 15\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 15 6 7 14 13 0 15 15 0 16 4 0 1 2 16 4 16 2 3 6 15 4 5\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 16 15 7 14 13 0 16 16 0 3 4 0 1 2 3 15 16 4 5 7 15 5 6\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 15 8 9 14 16 6 15 14 13 0 16 16 0 3 4 0 1 2 3 6 16 4 5 8 15 6 7\n"
+ "14 3 9 14 11 12 13 14 15 10 11 14 7 8 15 14 16 6 7 14 13 0 16 16 0 3 4 0 1 2 3 6 16 4 5 10 15 8 9\n"
+ "14 3 9 14 15 12 13 14 9 10 15 14 7 8 9 14 16 6 7 14 13 0 16 16 0 3 4 0 1 2 3 6 16 4 5 15 10 11 12\n"
+ "14 3 9 14 12 13 15 14 10 11 12 14 8 9 10 14 4 5 8 14 15 16 4 4 16 2 3 16 0 1 2 8 5 6 7 13 0 16 15\n"
+ "14 3 9 14 12 13 15 14 10 11 12 14 6 9 10 14 4 5 6 14 15 16 4 4 16 2 3 16 0 1 2 9 6 7 8 13 0 16 15\n"
+ "14 3 9 14 12 13 15 14 10 11 12 14 6 7 10 14 4 5 6 14 15 16 4 4 16 2 3 16 0 1 2 10 7 8 9 13 0 16 15\n"
+ "14 3 9 14 12 13 15 14 8 11 12 14 6 7 8 14 4 5 6 14 15 16 4 4 16 2 3 16 0 1 2 11 8 9 10 13 0 16 15\n"
+ "14 3 9 14 12 13 15 14 8 9 12 14 6 7 8 14 4 5 6 14 15 16 4 4 16 2 3 16 0 1 2 12 9 10 11 13 0 16 15\n"
+ "14 3 9 14 10 13 15 14 8 9 10 14 6 7 8 14 4 5 6 14 15 16 4 4 16 2 3 16 0 1 2 10 11 12 13 13 0 16 15\n"
+ "14 3 9 14 10 11 15 14 8 9 10 14 6 7 8 14 4 5 6 14 15 16 4 4 16 2 3 16 0 1 2 11 0 16 15 11 12 13 0\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 5 6 7 14 13 15 5 5 15 16 4 13 0 16 15 16 0 1 2 4 16 2 3\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 15 6 7 14 13 16 15 15 16 3 4 13 0 3 16 3 0 1 2 6 15 4 5\n"
+ "14 3 9 14 11 12 15 14 9 10 11 14 7 8 9 14 5 6 7 14 15 16 5 5 16 3 4 15 0 3 16 3 0 1 2 12 13 0 15\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 15 6 7 14 13 16 15 15 16 1 2 13 0 1 16 6 15 2 5 2 3 4 5\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 15 4 7 14 13 16 15 15 16 1 2 13 0 1 16 4 15 2 3 7 4 5 6\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 5 8 9 14 15 4 5 14 13 16 15 15 16 1 2 13 0 1 16 4 15 2 3 8 5 6 7\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 5 6 9 14 15 4 5 14 13 16 15 15 16 1 2 13 0 1 16 4 15 2 3 9 6 7 8\n"
+ "14 3 9 14 11 12 13 14 7 10 11 14 5 6 7 14 15 4 5 14 13 16 15 15 16 1 2 13 0 1 16 4 15 2 3 10 7 8 9\n"
+ "14 3 9 14 11 12 13 14 7 8 11 14 5 6 7 14 15 4 5 14 13 16 15 15 16 1 2 13 0 1 16 4 15 2 3 11 8 9 10\n"
+ "14 3 9 14 9 12 13 14 7 8 9 14 5 6 7 14 15 4 5 14 13 16 15 15 16 1 2 13 0 1 16 4 15 2 3 9 10 11 12\n"
+;
+
+const char* data_dqrgl_block2 =
+ "14 3 9 14 11 12 13 14 9 10 11 14 15 8 9 14 3 4 15 14 13 16 3 3 16 1 2 13 0 1 16 15 4 5 6 8 15 6 7\n"
+ "14 3 9 14 11 12 13 14 15 10 11 14 5 6 15 14 3 4 5 14 13 16 3 3 16 1 2 13 0 1 16 15 6 7 8 10 15 8 9\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 15 6 7 14 13 0 15 15 0 1 16 16 1 4 5 1 2 3 4 6 15 16 5\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 15 6 7 14 13 0 15 15 0 1 16 16 1 2 3 16 3 4 5 6 15 16 5\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 15 4 7 14 13 0 15 15 0 1 16 16 1 2 3 4 15 16 3 7 4 5 6\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 5 8 9 14 15 4 5 14 13 0 15 15 0 1 16 16 1 2 3 4 15 16 3 8 5 6 7\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 5 6 9 14 15 4 5 14 13 0 15 15 0 1 16 16 1 2 3 4 15 16 3 9 6 7 8\n"
+ "14 3 9 14 11 12 13 14 7 10 11 14 5 6 7 14 15 4 5 14 13 0 15 15 0 1 16 16 1 2 3 4 15 16 3 10 7 8 9\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 15 8 9 14 16 6 15 14 13 0 16 16 0 1 4 4 1 2 3 6 16 4 5 8 15 6 7\n"
+ "14 3 9 14 11 12 13 14 15 10 11 14 7 8 15 14 16 6 7 14 13 0 16 16 0 1 4 4 1 2 3 6 16 4 5 10 15 8 9\n"
+ "14 3 9 14 15 12 13 14 9 10 15 14 7 8 9 14 16 6 7 14 13 0 16 16 0 1 4 4 1 2 3 6 16 4 5 15 10 11 12\n"
+ "14 3 9 14 11 12 15 14 9 10 11 14 7 8 9 14 16 6 7 14 15 0 16 16 0 1 4 4 1 2 3 6 16 4 5 12 13 0 15\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 15 8 9 14 16 4 15 14 13 0 16 16 0 1 2 4 16 2 3 15 4 5 6 8 15 6 7\n"
+ "14 3 9 14 11 12 13 14 15 10 11 14 7 8 15 14 16 4 7 14 13 0 16 16 0 1 2 4 16 2 3 7 4 5 6 10 15 8 9\n"
+ "14 3 9 14 15 12 13 14 9 10 15 14 7 8 9 14 16 4 7 14 13 0 16 16 0 1 2 4 16 2 3 7 4 5 6 15 10 11 12\n"
+ "14 3 9 14 11 12 15 14 9 10 11 14 7 8 9 14 16 4 7 14 15 0 16 16 0 1 2 4 16 2 3 7 4 5 6 12 13 0 15\n"
+ "14 3 9 14 11 12 13 14 15 10 11 14 5 8 15 14 16 4 5 14 13 0 16 16 0 1 2 4 16 2 3 8 5 6 7 10 15 8 9\n"
+ "14 3 9 14 15 12 13 14 9 10 15 14 5 8 9 14 16 4 5 14 13 0 16 16 0 1 2 4 16 2 3 8 5 6 7 15 10 11 12\n"
+ "14 3 9 14 11 12 15 14 9 10 11 14 5 8 9 14 16 4 5 14 15 0 16 16 0 1 2 4 16 2 3 8 5 6 7 12 13 0 15\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 15 8 9 14 16 4 15 14 13 0 16 16 0 1 2 4 16 2 3 8 15 4 5 8 5 6 7\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 15 6 9 14 16 4 15 14 13 0 16 16 0 1 2 4 16 2 3 6 15 4 5 9 6 7 8\n"
+ "14 3 9 14 11 12 13 14 7 10 11 14 15 6 7 14 16 4 15 14 13 0 16 16 0 1 2 4 16 2 3 6 15 4 5 10 7 8 9\n"
+ "14 3 9 14 11 12 13 14 7 8 11 14 15 6 7 14 16 4 15 14 13 0 16 16 0 1 2 4 16 2 3 6 15 4 5 11 8 9 10\n"
+ "14 3 9 14 9 12 13 14 7 8 9 14 15 6 7 14 16 4 15 14 13 0 16 16 0 1 2 4 16 2 3 6 15 4 5 9 10 11 12\n"
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+ "14 3 9 14 15 12 13 14 9 10 15 14 5 6 9 14 16 4 5 14 13 0 16 16 0 1 2 4 16 2 3 9 6 7 8 15 10 11 12\n"
+ "14 3 9 14 15 12 13 14 7 10 15 14 5 6 7 14 16 4 5 14 13 0 16 16 0 1 2 4 16 2 3 10 7 8 9 15 10 11 12\n"
+ "14 3 9 14 11 12 13 14 15 10 11 14 5 6 15 14 16 4 5 14 13 0 16 16 0 1 2 4 16 2 3 10 15 6 9 6 7 8 9\n"
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+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 15 6 7 14 13 0 15 6 15 0 16 0 1 2 16 16 2 3 4 6 16 4 5\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 13 15 7 7 15 5 6 15 16 4 5 13 0 16 15 16 0 1 2 4 16 2 3\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 13 15 7 7 15 16 6 15 3 4 16 13 0 3 15 3 0 1 2 6 16 4 5\n"
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+ "14 3 9 14 11 12 13 14 15 10 11 14 7 8 15 14 13 16 7 7 16 5 6 16 3 4 5 13 0 3 16 3 0 1 2 10 15 8 9\n"
+ "14 3 9 14 15 12 13 14 9 10 15 14 7 8 9 14 13 16 7 7 16 5 6 16 3 4 5 13 0 3 16 3 0 1 2 15 10 11 12\n"
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+ "14 3 9 14 11 12 13 14 9 10 11 14 7 8 9 14 13 15 7 7 15 5 6 15 1 16 5 13 0 1 15 16 1 2 3 5 16 3 4\n"
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+ "14 3 9 14 9 10 13 14 7 8 9 14 5 6 7 14 13 0 5 5 0 15 4 0 1 16 15 16 1 2 3 4 15 16 3 10 11 12 13\n"
+ "14 3 9 14 11 12 13 14 9 10 11 14 15 8 9 14 13 0 15 15 0 5 16 0 1 4 5 4 1 2 3 16 5 6 7 8 15 16 7\n"
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+ "14 3 9 14 11 12 13 14 15 10 11 14 7 8 15 14 13 0 7 7 0 16 6 0 1 4 16 4 1 2 3 6 16 4 5 10 15 8 9\n"
+ "14 3 9 14 15 12 13 14 9 10 15 14 7 8 9 14 13 0 7 7 0 16 6 0 1 4 16 4 1 2 3 6 16 4 5 15 10 11 12\n"
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+ "14 3 9 14 10 13 15 14 8 9 10 14 6 7 8 14 15 16 6 6 16 4 5 16 0 1 4 4 1 2 3 10 11 12 13 13 0 16 15\n"
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+ "14 4 10 14 15 13 16 14 10 11 15 14 8 9 10 14 6 7 8 14 16 17 6 6 17 4 5 17 0 3 4 3 0 1 2 15 11 12 13 13 0 17 16\n"
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+ "14 4 10 14 12 15 16 14 10 11 12 14 8 9 10 14 6 7 8 14 16 17 6 6 17 2 5 17 0 1 2 5 2 3 4 15 0 17 16 12 13 0 15\n"
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+ "14 4 10 14 12 13 15 14 10 11 12 14 6 7 10 14 4 5 6 14 15 16 4 4 16 17 3 16 0 1 17 3 17 1 2 10 7 8 9 13 0 16 15\n"
+ "14 4 10 14 12 13 15 14 8 11 12 14 6 7 8 14 4 5 6 14 15 16 4 4 16 17 3 16 0 1 17 3 17 1 2 11 8 9 10 13 0 16 15\n"
+ "14 4 10 14 12 13 15 14 8 9 12 14 6 7 8 14 4 5 6 14 15 16 4 4 16 17 3 16 0 1 17 3 17 1 2 12 9 10 11 13 0 16 15\n"
+ "14 4 10 14 10 13 15 14 8 9 10 14 6 7 8 14 4 5 6 14 15 16 4 4 16 17 3 16 0 1 17 3 17 1 2 10 11 12 13 13 0 16 15\n"
+ "14 4 10 14 10 11 15 14 8 9 10 14 6 7 8 14 4 5 6 14 15 16 4 4 16 17 3 16 0 1 17 3 17 1 2 11 0 16 15 11 12 13 0\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 8 9 10 14 16 7 8 14 15 17 16 16 17 2 3 17 0 1 2 16 3 4 5 7 16 5 6 13 0 17 15\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 7 8 9 14 16 15 7 14 13 0 16 16 0 3 4 0 1 2 3 15 16 4 17 4 5 6 17 7 15 17 6\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 15 8 9 14 17 16 15 14 13 0 17 17 0 3 4 0 1 2 3 16 17 4 7 4 5 6 7 8 15 16 7\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 8 9 10 14 16 7 8 14 15 17 16 16 17 2 3 17 0 1 2 7 16 3 6 3 4 5 6 13 0 17 15\n"
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+ "14 4 10 14 11 12 13 14 15 10 11 14 7 8 15 14 17 16 7 14 13 0 17 17 0 3 4 0 1 2 3 16 17 4 5 7 16 5 6 10 15 8 9\n"
+ "14 4 10 14 15 12 13 14 9 10 15 14 7 8 9 14 17 16 7 14 13 0 17 17 0 3 4 0 1 2 3 16 17 4 5 7 16 5 6 15 10 11 12\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 15 8 9 14 17 16 15 14 13 0 17 17 0 3 4 0 1 2 3 16 17 4 5 8 15 16 5 8 5 6 7\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 15 6 9 14 17 16 15 14 13 0 17 17 0 3 4 0 1 2 3 16 17 4 5 6 15 16 5 9 6 7 8\n"
+ "14 4 10 14 11 12 13 14 7 10 11 14 15 6 7 14 17 16 15 14 13 0 17 17 0 3 4 0 1 2 3 16 17 4 5 6 15 16 5 10 7 8 9\n"
+ "14 4 10 14 11 12 13 14 7 8 11 14 15 6 7 14 17 16 15 14 13 0 17 17 0 3 4 0 1 2 3 16 17 4 5 6 15 16 5 11 8 9 10\n"
+ "14 4 10 14 9 12 13 14 7 8 9 14 15 6 7 14 17 16 15 14 13 0 17 17 0 3 4 0 1 2 3 16 17 4 5 6 15 16 5 9 10 11 12\n"
+ "14 4 10 14 9 10 13 14 7 8 9 14 15 6 7 14 17 16 15 14 13 0 17 17 0 3 4 0 1 2 3 16 17 4 5 6 15 16 5 10 11 12 13\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 7 16 15 14 17 6 7 14 13 0 17 17 0 3 4 0 1 2 3 6 17 4 5 16 7 8 9 10 15 16 9\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 6 9 10 14 16 5 6 14 15 17 16 16 17 2 3 17 0 1 2 5 16 3 4 9 6 7 8 13 0 17 15\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 16 15 9 14 17 6 16 14 13 0 17 17 0 3 4 0 1 2 3 6 17 4 5 15 16 6 7 9 15 7 8\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 16 8 15 14 17 6 16 14 13 0 17 17 0 3 4 0 1 2 3 6 17 4 5 8 16 6 7 10 15 8 9\n"
+ "14 4 10 14 15 12 13 14 9 10 15 14 16 8 9 14 17 6 16 14 13 0 17 17 0 3 4 0 1 2 3 6 17 4 5 8 16 6 7 15 10 11 12\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 6 7 10 14 16 5 6 14 15 17 16 16 17 2 3 17 0 1 2 5 16 3 4 10 7 8 9 13 0 17 15\n"
+ "14 4 10 14 15 12 13 14 9 16 15 14 7 8 9 14 17 6 7 14 13 0 17 17 0 3 4 0 1 2 3 6 17 4 5 16 9 10 11 15 16 11 12\n"
+ "14 4 10 14 12 13 15 14 8 11 12 14 6 7 8 14 16 5 6 14 15 17 16 16 17 2 3 17 0 1 2 5 16 3 4 11 8 9 10 13 0 17 15\n"
+ "14 4 10 14 11 12 13 14 16 15 11 14 7 8 16 14 17 6 7 14 13 0 17 17 0 3 4 0 1 2 3 6 17 4 5 15 16 8 9 11 15 9 10\n"
+ "14 4 10 14 15 12 13 14 16 10 15 14 7 8 16 14 17 6 7 14 13 0 17 17 0 3 4 0 1 2 3 6 17 4 5 10 16 8 9 15 10 11 12\n"
+ "14 4 10 14 12 13 15 14 8 9 12 14 6 7 8 14 16 5 6 14 15 17 16 16 17 2 3 17 0 1 2 5 16 3 4 12 9 10 11 13 0 17 15\n"
+ "14 4 10 14 10 13 15 14 8 9 10 14 6 7 8 14 16 5 6 14 15 17 16 16 17 2 3 17 0 1 2 5 16 3 4 10 11 12 13 13 0 17 15\n"
+ "14 4 10 14 15 16 13 14 9 10 15 14 7 8 9 14 17 6 7 14 13 0 17 17 0 3 4 0 1 2 3 6 17 4 5 15 10 11 16 16 11 12 13\n"
+ "14 4 10 14 10 11 15 14 8 9 10 14 6 7 8 14 16 5 6 14 15 17 16 16 17 2 3 17 0 1 2 5 16 3 4 11 0 17 15 11 12 13 0\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 17 16 15 14 5 6 17 14 13 0 5 5 0 3 4 0 1 2 3 17 6 7 8 16 17 8 9 10 15 16 9\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 16 9 10 14 4 5 16 14 15 17 4 4 17 2 3 17 0 1 2 16 5 6 7 9 16 7 8 13 0 17 15\n"
+ "14 4 10 14 12 13 15 14 16 11 12 14 8 9 16 14 4 5 8 14 15 17 4 4 17 2 3 17 0 1 2 8 5 6 7 11 16 9 10 13 0 17 15\n"
+ "14 4 10 14 15 13 16 14 10 11 15 14 8 9 10 14 4 5 8 14 16 17 4 4 17 2 3 17 0 1 2 8 5 6 7 15 11 12 13 13 0 17 16\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 8 9 10 14 4 5 8 14 15 16 4 4 16 2 3 16 17 1 2 8 5 6 7 13 17 16 15 13 0 1 17\n"
+ "14 4 10 14 12 15 16 14 10 11 12 14 8 9 10 14 4 5 8 14 16 17 4 4 17 2 3 17 0 1 2 8 5 6 7 15 0 17 16 12 13 0 15\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 6 16 10 14 4 5 6 14 15 17 4 4 17 2 3 17 0 1 2 16 6 7 8 10 16 8 9 13 0 17 15\n"
+ "14 4 10 14 12 13 15 14 16 11 12 14 6 9 16 14 4 5 6 14 15 17 4 4 17 2 3 17 0 1 2 9 6 7 8 11 16 9 10 13 0 17 15\n"
+;
+
+const char* data_dqrgl_block3 =
+ "14 4 10 14 15 13 16 14 10 11 15 14 6 9 10 14 4 5 6 14 16 17 4 4 17 2 3 17 0 1 2 9 6 7 8 15 11 12 13 13 0 17 16\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 6 9 10 14 4 5 6 14 15 16 4 4 16 2 3 16 17 1 2 9 6 7 8 13 17 16 15 13 0 1 17\n"
+ "14 4 10 14 12 15 16 14 10 11 12 14 6 9 10 14 4 5 6 14 16 17 4 4 17 2 3 17 0 1 2 9 6 7 8 15 0 17 16 12 13 0 15\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 16 9 10 14 4 5 16 14 15 17 4 4 17 2 3 17 0 1 2 9 16 5 8 5 6 7 8 13 0 17 15\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 17 16 15 14 5 6 17 14 13 0 5 5 0 3 4 0 1 2 3 16 17 6 7 16 7 8 9 10 15 16 9\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 16 9 10 14 4 5 16 14 15 17 4 4 17 2 3 17 0 1 2 9 16 5 6 9 6 7 8 13 0 17 15\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 16 7 10 14 4 5 16 14 15 17 4 4 17 2 3 17 0 1 2 7 16 5 6 10 7 8 9 13 0 17 15\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 17 16 15 14 5 6 17 14 13 0 5 5 0 3 4 0 1 2 3 16 17 6 7 15 16 7 8 10 15 8 9\n"
+ "14 4 10 14 12 13 15 14 8 11 12 14 16 7 8 14 4 5 16 14 15 17 4 4 17 2 3 17 0 1 2 7 16 5 6 11 8 9 10 13 0 17 15\n"
+ "14 4 10 14 12 13 15 14 8 9 12 14 16 7 8 14 4 5 16 14 15 17 4 4 17 2 3 17 0 1 2 7 16 5 6 12 9 10 11 13 0 17 15\n"
+ "14 4 10 14 10 13 15 14 8 9 10 14 16 7 8 14 4 5 16 14 15 17 4 4 17 2 3 17 0 1 2 7 16 5 6 10 11 12 13 13 0 17 15\n"
+ "14 4 10 14 10 11 15 14 8 9 10 14 16 7 8 14 4 5 16 14 15 17 4 4 17 2 3 17 0 1 2 7 16 5 6 11 0 17 15 11 12 13 0\n"
+ "14 4 10 14 15 12 13 14 17 16 15 14 7 8 17 14 5 6 7 14 13 0 5 5 0 3 4 0 1 2 3 17 8 9 10 16 17 10 11 15 16 11 12\n"
+ "14 4 10 14 12 13 15 14 16 11 12 14 6 7 16 14 4 5 6 14 15 17 4 4 17 2 3 17 0 1 2 16 7 8 9 11 16 9 10 13 0 17 15\n"
+ "14 4 10 14 15 13 16 14 10 11 15 14 6 7 10 14 4 5 6 14 16 17 4 4 17 2 3 17 0 1 2 10 7 8 9 15 11 12 13 13 0 17 16\n"
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+ "14 4 10 14 11 12 13 14 9 10 11 14 15 8 9 14 13 0 15 15 0 17 16 0 1 4 17 4 1 2 3 16 17 4 5 16 5 6 7 8 15 16 7\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 8 9 10 14 15 16 8 8 16 17 7 16 0 3 17 3 0 1 2 7 17 3 4 7 4 5 6 13 0 16 15\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 15 8 9 14 13 0 15 15 0 17 16 0 1 4 17 4 1 2 3 16 17 4 5 8 15 16 5 8 5 6 7\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 15 6 9 14 13 0 15 15 0 17 16 0 1 4 17 4 1 2 3 16 17 4 5 6 15 16 5 9 6 7 8\n"
+ "14 4 10 14 11 12 13 14 7 10 11 14 15 6 7 14 13 0 15 15 0 17 16 0 1 4 17 4 1 2 3 16 17 4 5 6 15 16 5 10 7 8 9\n"
+ "14 4 10 14 11 12 13 14 7 8 11 14 15 6 7 14 13 0 15 15 0 17 16 0 1 4 17 4 1 2 3 16 17 4 5 6 15 16 5 11 8 9 10\n"
+ "14 4 10 14 9 12 13 14 7 8 9 14 15 6 7 14 13 0 15 15 0 17 16 0 1 4 17 4 1 2 3 16 17 4 5 6 15 16 5 9 10 11 12\n"
+ "14 4 10 14 9 10 13 14 7 8 9 14 15 6 7 14 13 0 15 15 0 17 16 0 1 4 17 4 1 2 3 16 17 4 5 6 15 16 5 10 11 12 13\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 16 15 9 14 13 0 16 16 0 17 6 0 1 4 17 4 1 2 3 6 17 4 5 15 16 6 7 9 15 7 8\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 16 8 15 14 13 0 16 16 0 17 6 0 1 4 17 4 1 2 3 6 17 4 5 8 16 6 7 10 15 8 9\n"
+ "14 4 10 14 15 12 13 14 9 10 15 14 16 8 9 14 13 0 16 16 0 17 6 0 1 4 17 4 1 2 3 6 17 4 5 8 16 6 7 15 10 11 12\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 6 7 10 14 15 16 6 6 16 17 5 16 0 3 17 3 0 1 2 5 17 3 4 10 7 8 9 13 0 16 15\n"
+ "14 4 10 14 15 12 13 14 9 16 15 14 7 8 9 14 13 0 7 7 0 17 6 0 1 4 17 4 1 2 3 6 17 4 5 16 9 10 11 15 16 11 12\n"
+ "14 4 10 14 12 13 15 14 8 11 12 14 6 7 8 14 15 16 6 6 16 17 5 16 0 3 17 3 0 1 2 5 17 3 4 11 8 9 10 13 0 16 15\n"
+ "14 4 10 14 11 12 13 14 16 15 11 14 7 8 16 14 13 0 7 7 0 17 6 0 1 4 17 4 1 2 3 6 17 4 5 15 16 8 9 11 15 9 10\n"
+ "14 4 10 14 15 12 13 14 16 10 15 14 7 8 16 14 13 0 7 7 0 17 6 0 1 4 17 4 1 2 3 6 17 4 5 10 16 8 9 15 10 11 12\n"
+ "14 4 10 14 12 13 15 14 8 9 12 14 6 7 8 14 15 16 6 6 16 17 5 16 0 3 17 3 0 1 2 5 17 3 4 12 9 10 11 13 0 16 15\n"
+ "14 4 10 14 10 13 15 14 8 9 10 14 6 7 8 14 15 16 6 6 16 17 5 16 0 3 17 3 0 1 2 5 17 3 4 10 11 12 13 13 0 16 15\n"
+ "14 4 10 14 15 16 13 14 9 10 15 14 7 8 9 14 13 0 7 7 0 17 6 0 1 4 17 4 1 2 3 6 17 4 5 15 10 11 16 16 11 12 13\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 16 15 9 14 13 0 16 16 0 5 6 0 1 4 5 4 1 2 3 15 16 6 17 6 7 8 17 9 15 17 8\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 17 16 15 14 13 0 17 17 0 5 6 0 1 4 5 4 1 2 3 16 17 6 9 6 7 8 9 10 15 16 9\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 16 9 10 14 15 17 16 16 17 4 5 17 0 3 4 3 0 1 2 9 16 5 8 5 6 7 8 13 0 17 15\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 17 16 15 14 13 0 17 17 0 5 6 0 1 4 5 4 1 2 3 16 17 6 7 16 7 8 9 10 15 16 9\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 16 9 10 14 15 17 16 16 17 4 5 17 0 3 4 3 0 1 2 9 16 5 6 9 6 7 8 13 0 17 15\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 16 7 10 14 15 17 16 16 17 4 5 17 0 3 4 3 0 1 2 7 16 5 6 10 7 8 9 13 0 17 15\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 17 16 15 14 13 0 17 17 0 5 6 0 1 4 5 4 1 2 3 16 17 6 7 15 16 7 8 10 15 8 9\n"
+ "14 4 10 14 15 12 13 14 9 10 15 14 17 16 9 14 13 0 17 17 0 5 6 0 1 4 5 4 1 2 3 16 17 6 7 9 16 7 8 15 10 11 12\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 17 16 15 14 13 0 17 17 0 5 6 0 1 4 5 4 1 2 3 16 17 6 7 10 15 16 7 10 7 8 9\n"
+ "14 4 10 14 11 12 13 14 15 8 11 14 17 16 15 14 13 0 17 17 0 5 6 0 1 4 5 4 1 2 3 16 17 6 7 8 15 16 7 11 8 9 10\n"
+ "14 4 10 14 9 12 13 14 15 8 9 14 17 16 15 14 13 0 17 17 0 5 6 0 1 4 5 4 1 2 3 16 17 6 7 8 15 16 7 9 10 11 12\n"
+ "14 4 10 14 9 10 13 14 15 8 9 14 17 16 15 14 13 0 17 17 0 5 6 0 1 4 5 4 1 2 3 16 17 6 7 8 15 16 7 10 11 12 13\n"
+ "14 4 10 14 15 12 13 14 9 16 15 14 17 8 9 14 13 0 17 17 0 5 6 0 1 4 5 4 1 2 3 8 17 6 7 16 9 10 11 15 16 11 12\n"
+ "14 4 10 14 12 13 15 14 8 11 12 14 16 7 8 14 15 17 16 16 17 4 5 17 0 3 4 3 0 1 2 7 16 5 6 11 8 9 10 13 0 17 15\n"
+ "14 4 10 14 11 12 13 14 16 15 11 14 17 8 16 14 13 0 17 17 0 5 6 0 1 4 5 4 1 2 3 8 17 6 7 15 16 8 9 11 15 9 10\n"
+ "14 4 10 14 15 12 13 14 16 10 15 14 17 8 16 14 13 0 17 17 0 5 6 0 1 4 5 4 1 2 3 8 17 6 7 10 16 8 9 15 10 11 12\n"
+ "14 4 10 14 12 13 15 14 8 9 12 14 16 7 8 14 15 17 16 16 17 4 5 17 0 3 4 3 0 1 2 7 16 5 6 12 9 10 11 13 0 17 15\n"
+ "14 4 10 14 10 13 15 14 8 9 10 14 16 7 8 14 15 17 16 16 17 4 5 17 0 3 4 3 0 1 2 7 16 5 6 10 11 12 13 13 0 17 15\n"
+ "14 4 10 14 15 16 13 14 9 10 15 14 17 8 9 14 13 0 17 17 0 5 6 0 1 4 5 4 1 2 3 8 17 6 7 15 10 11 16 16 11 12 13\n"
+ "14 4 10 14 15 12 13 14 17 16 15 14 7 8 17 14 13 0 7 7 0 5 6 0 1 4 5 4 1 2 3 17 8 9 10 16 17 10 11 15 16 11 12\n"
+ "14 4 10 14 12 13 15 14 16 11 12 14 6 7 16 14 15 17 6 6 17 4 5 17 0 3 4 3 0 1 2 16 7 8 9 11 16 9 10 13 0 17 15\n"
+ "14 4 10 14 15 13 16 14 10 11 15 14 6 7 10 14 16 17 6 6 17 4 5 17 0 3 4 3 0 1 2 10 7 8 9 15 11 12 13 13 0 17 16\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 6 7 10 14 15 16 6 6 16 4 5 16 17 3 4 3 17 1 2 10 7 8 9 13 17 16 15 13 0 1 17\n"
+ "14 4 10 14 15 12 13 14 9 16 15 14 7 8 9 14 13 0 7 7 0 5 6 0 1 4 5 4 1 2 3 16 9 10 17 15 16 17 12 12 17 10 11\n"
+ "14 4 10 14 15 16 13 14 9 17 15 14 7 8 9 14 13 0 7 7 0 5 6 0 1 4 5 4 1 2 3 17 9 10 11 15 17 11 16 16 11 12 13\n"
+ "14 4 10 14 15 13 16 14 8 11 15 14 6 7 8 14 16 17 6 6 17 4 5 17 0 3 4 3 0 1 2 11 8 9 10 15 11 12 13 13 0 17 16\n"
+ "14 4 10 14 12 13 15 14 8 11 12 14 6 7 8 14 15 16 6 6 16 4 5 16 17 3 4 3 17 1 2 11 8 9 10 13 17 16 15 13 0 1 17\n"
+ "14 4 10 14 11 12 13 14 16 15 11 14 7 8 16 14 13 0 7 7 0 5 6 0 1 4 5 4 1 2 3 15 16 8 17 8 9 10 17 11 15 17 10\n"
+ "14 4 10 14 15 12 13 14 17 16 15 14 7 8 17 14 13 0 7 7 0 5 6 0 1 4 5 4 1 2 3 16 17 8 11 8 9 10 11 15 16 11 12\n"
+ "14 4 10 14 12 13 15 14 16 11 12 14 6 7 16 14 15 17 6 6 17 4 5 17 0 3 4 3 0 1 2 11 16 7 10 7 8 9 10 13 0 17 15\n"
+ "14 4 10 14 15 12 13 14 17 16 15 14 7 8 17 14 13 0 7 7 0 5 6 0 1 4 5 4 1 2 3 16 17 8 9 16 9 10 11 15 16 11 12\n"
+ "14 4 10 14 12 13 15 14 16 11 12 14 6 7 16 14 15 17 6 6 17 4 5 17 0 3 4 3 0 1 2 11 16 7 8 11 8 9 10 13 0 17 15\n"
+ "14 4 10 14 15 12 13 14 17 16 15 14 7 8 17 14 13 0 7 7 0 5 6 0 1 4 5 4 1 2 3 16 17 8 9 15 16 9 10 15 10 11 12\n"
+ "14 4 10 14 15 12 13 14 17 16 15 14 7 8 17 14 13 0 7 7 0 5 6 0 1 4 5 4 1 2 3 16 17 8 9 15 16 9 12 12 9 10 11\n"
+ "14 4 10 14 15 10 13 14 17 16 15 14 7 8 17 14 13 0 7 7 0 5 6 0 1 4 5 4 1 2 3 16 17 8 9 15 16 9 10 10 11 12 13\n"
+ "14 4 10 14 10 13 15 14 16 9 10 14 6 7 16 14 15 17 6 6 17 4 5 17 0 3 4 3 0 1 2 9 16 7 8 10 11 12 13 13 0 17 15\n"
+ "14 4 10 14 15 16 13 14 17 10 15 14 7 8 17 14 13 0 7 7 0 5 6 0 1 4 5 4 1 2 3 10 17 8 9 15 10 11 16 16 11 12 13\n"
+ "14 4 10 14 15 13 16 14 8 9 15 14 6 7 8 14 16 17 6 6 17 4 5 17 0 3 4 3 0 1 2 15 9 10 11 15 11 12 13 13 0 17 16\n"
+ "14 4 10 14 15 16 13 14 9 10 15 14 7 8 9 14 13 0 7 7 0 5 6 0 1 4 5 4 1 2 3 15 10 17 16 10 11 12 17 16 17 12 13\n"
+ "14 4 10 14 15 13 16 14 8 9 15 14 6 7 8 14 16 17 6 6 17 4 5 17 0 3 4 3 0 1 2 15 9 12 13 9 10 11 12 13 0 17 16\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 8 9 10 14 15 16 8 8 16 6 7 16 17 5 6 5 17 3 4 13 17 16 15 13 0 3 17 3 0 1 2\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 7 8 9 14 13 0 7 7 0 15 6 0 1 2 15 15 2 17 16 2 3 4 17 16 17 4 5 6 15 16 5\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 8 9 10 14 15 16 8 8 16 6 7 16 0 1 6 6 1 17 5 1 2 3 17 5 17 3 4 13 0 16 15\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 15 8 9 14 13 0 15 15 0 17 16 0 1 2 17 17 2 5 6 2 3 4 5 16 17 6 7 8 15 16 7\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 8 9 10 14 15 16 8 8 16 17 7 16 0 1 17 17 1 4 5 1 2 3 4 7 17 5 6 13 0 16 15\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 17 16 15 14 13 0 17 17 0 7 8 0 1 2 7 7 2 5 6 2 3 4 5 16 17 8 9 10 15 16 9\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 16 9 10 14 15 17 16 16 17 6 7 17 0 1 6 6 1 4 5 1 2 3 4 9 16 7 8 13 0 17 15\n"
+ "14 4 10 14 15 12 13 14 17 16 15 14 9 10 17 14 13 0 9 9 0 7 8 0 1 2 7 7 2 5 6 2 3 4 5 16 17 10 11 15 16 11 12\n"
+ "14 4 10 14 12 13 15 14 16 11 12 14 8 9 16 14 15 17 8 8 17 6 7 17 0 1 6 6 1 4 5 1 2 3 4 11 16 9 10 13 0 17 15\n"
+ "14 4 10 14 15 13 16 14 10 11 15 14 8 9 10 14 16 17 8 8 17 6 7 17 0 1 6 6 1 4 5 1 2 3 4 15 11 12 13 13 0 17 16\n"
+ "14 4 10 14 12 15 16 14 10 11 12 14 8 9 10 14 16 17 8 8 17 6 7 17 0 1 6 6 1 4 5 1 2 3 4 15 0 17 16 12 13 0 15\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 7 8 9 14 13 0 7 7 0 15 6 0 1 2 15 15 2 3 16 16 3 4 17 6 15 16 17 6 17 4 5\n"
+ "14 4 10 14 15 12 13 14 9 10 15 14 7 8 9 14 13 0 7 7 0 16 6 0 1 2 16 16 2 3 17 17 3 4 5 6 16 17 5 15 10 11 12\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 8 9 10 14 15 16 8 8 16 17 7 16 0 1 17 17 1 2 5 5 2 3 4 7 17 5 6 13 0 16 15\n"
+ "14 4 10 14 15 12 13 14 17 16 15 14 9 10 17 14 13 0 9 9 0 7 8 0 1 2 7 7 2 3 6 6 3 4 5 16 17 10 11 15 16 11 12\n"
+ "14 4 10 14 12 13 15 14 16 11 12 14 8 9 16 14 15 17 8 8 17 6 7 17 0 1 6 6 1 2 5 5 2 3 4 11 16 9 10 13 0 17 15\n"
+ "14 4 10 14 15 13 16 14 10 11 15 14 8 9 10 14 16 17 8 8 17 6 7 17 0 1 6 6 1 2 5 5 2 3 4 15 11 12 13 13 0 17 16\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 8 9 10 14 15 16 8 8 16 6 7 16 17 1 6 6 1 2 5 5 2 3 4 13 17 16 15 13 0 1 17\n"
+ "14 4 10 14 12 15 16 14 10 11 12 14 8 9 10 14 16 17 8 8 17 6 7 17 0 1 6 6 1 2 5 5 2 3 4 15 0 17 16 12 13 0 15\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 15 8 9 14 13 0 15 15 0 17 16 0 1 2 17 17 2 3 4 16 17 4 7 4 5 6 7 8 15 16 7\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 8 9 10 14 15 16 8 8 16 17 7 16 0 1 17 17 1 2 3 7 17 3 6 3 4 5 6 13 0 16 15\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 8 9 10 14 15 16 8 8 16 17 7 16 0 1 17 17 1 2 3 7 17 3 4 7 4 5 6 13 0 16 15\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 15 8 9 14 13 0 15 15 0 17 16 0 1 2 17 17 2 3 4 16 17 4 5 8 15 16 5 8 5 6 7\n"
+ "14 4 10 14 11 12 13 14 9 10 11 14 16 15 9 14 13 0 16 16 0 5 6 0 1 2 5 5 2 3 4 15 16 6 17 6 7 8 17 9 15 17 8\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 17 16 15 14 13 0 17 17 0 5 6 0 1 2 5 5 2 3 4 16 17 6 9 6 7 8 9 10 15 16 9\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 16 9 10 14 15 17 16 16 17 4 5 17 0 1 4 4 1 2 3 9 16 5 8 5 6 7 8 13 0 17 15\n"
+ "14 4 10 14 11 12 13 14 15 10 11 14 17 16 15 14 13 0 17 17 0 5 6 0 1 2 5 5 2 3 4 16 17 6 7 16 7 8 9 10 15 16 9\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 16 9 10 14 15 17 16 16 17 4 5 17 0 1 4 4 1 2 3 9 16 5 6 9 6 7 8 13 0 17 15\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 16 7 10 14 15 17 16 16 17 4 5 17 0 1 4 4 1 2 3 7 16 5 6 10 7 8 9 13 0 17 15\n"
+ "14 4 10 14 15 12 13 14 9 10 15 14 17 16 9 14 13 0 17 17 0 5 6 0 1 2 5 5 2 3 4 16 17 6 7 9 16 7 8 15 10 11 12\n"
+;
+
+const char* data_dqrgl_block4 =
+ "14 4 10 14 11 12 13 14 15 10 11 14 17 16 15 14 13 0 17 17 0 5 6 0 1 2 5 5 2 3 4 16 17 6 7 10 15 16 7 10 7 8 9\n"
+ "14 4 10 14 11 12 13 14 15 8 11 14 17 16 15 14 13 0 17 17 0 5 6 0 1 2 5 5 2 3 4 16 17 6 7 8 15 16 7 11 8 9 10\n"
+ "14 4 10 14 9 12 13 14 15 8 9 14 17 16 15 14 13 0 17 17 0 5 6 0 1 2 5 5 2 3 4 16 17 6 7 8 15 16 7 9 10 11 12\n"
+ "14 4 10 14 9 10 13 14 15 8 9 14 17 16 15 14 13 0 17 17 0 5 6 0 1 2 5 5 2 3 4 16 17 6 7 8 15 16 7 10 11 12 13\n"
+ "14 4 10 14 15 12 13 14 9 16 15 14 17 8 9 14 13 0 17 17 0 5 6 0 1 2 5 5 2 3 4 8 17 6 7 16 9 10 11 15 16 11 12\n"
+ "14 4 10 14 12 13 15 14 8 11 12 14 16 7 8 14 15 17 16 16 17 4 5 17 0 1 4 4 1 2 3 7 16 5 6 11 8 9 10 13 0 17 15\n"
+ "14 4 10 14 11 12 13 14 16 15 11 14 17 8 16 14 13 0 17 17 0 5 6 0 1 2 5 5 2 3 4 8 17 6 7 15 16 8 9 11 15 9 10\n"
+ "14 4 10 14 15 12 13 14 16 10 15 14 17 8 16 14 13 0 17 17 0 5 6 0 1 2 5 5 2 3 4 8 17 6 7 10 16 8 9 15 10 11 12\n"
+ "14 4 10 14 10 13 15 14 8 9 10 14 16 7 8 14 15 17 16 16 17 4 5 17 0 1 4 4 1 2 3 7 16 5 6 10 11 12 13 13 0 17 15\n"
+ "14 4 10 14 15 16 13 14 9 10 15 14 17 8 9 14 13 0 17 17 0 5 6 0 1 2 5 5 2 3 4 8 17 6 7 15 10 11 16 16 11 12 13\n"
+ "14 4 10 14 10 11 15 14 8 9 10 14 16 7 8 14 15 17 16 16 17 4 5 17 0 1 4 4 1 2 3 7 16 5 6 11 0 17 15 11 12 13 0\n"
+ "14 4 10 14 15 13 16 14 10 11 15 14 6 7 10 14 16 17 6 6 17 4 5 17 0 1 4 4 1 2 3 10 7 8 9 15 11 12 13 13 0 17 16\n"
+ "14 4 10 14 12 13 15 14 10 11 12 14 6 7 10 14 15 16 6 6 16 4 5 16 17 1 4 4 1 2 3 10 7 8 9 13 17 16 15 13 0 1 17\n"
+ "14 4 10 14 12 15 16 14 10 11 12 14 6 7 10 14 16 17 6 6 17 4 5 17 0 1 4 4 1 2 3 10 7 8 9 15 0 17 16 12 13 0 15\n"
+ "14 4 10 14 15 12 13 14 9 16 15 14 7 8 9 14 13 0 7 7 0 5 6 0 1 2 5 5 2 3 4 16 9 10 17 15 16 17 12 12 17 10 11\n"
+ "14 4 10 14 15 16 13 14 9 17 15 14 7 8 9 14 13 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 9 10 11 15 17 11 16 16 11 12 13\n"
+ "14 4 10 14 15 13 16 14 8 11 15 14 6 7 8 14 16 17 6 6 17 4 5 17 0 1 4 4 1 2 3 11 8 9 10 15 11 12 13 13 0 17 16\n"
+ "14 4 10 14 12 15 16 14 8 11 12 14 6 7 8 14 16 17 6 6 17 4 5 17 0 1 4 4 1 2 3 11 8 9 10 15 0 17 16 12 13 0 15\n"
+ "14 4 10 14 11 12 13 14 16 15 11 14 7 8 16 14 13 0 7 7 0 5 6 0 1 2 5 5 2 3 4 15 16 8 17 8 9 10 17 11 15 17 10\n"
+ "14 4 10 14 15 12 13 14 17 16 15 14 7 8 17 14 13 0 7 7 0 5 6 0 1 2 5 5 2 3 4 16 17 8 11 8 9 10 11 15 16 11 12\n"
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+ "14 4 10 14 10 11 15 14 16 9 10 14 6 7 16 14 15 17 6 6 17 4 5 17 0 1 4 4 1 2 3 9 16 7 8 11 0 17 15 11 12 13 0\n"
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+ "14 4 10 14 9 10 13 14 7 8 9 14 15 6 7 14 13 0 15 15 0 3 16 0 1 2 3 16 3 4 17 6 15 16 17 6 17 4 5 10 11 12 13\n"
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+;
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+ "16 1 8 16 13 14 15 16 11 12 13 16 5 8 11 16 3 4 5 16 15 0 3 3 0 1 2 8 5 6 7 11 8 9 10\n"
+ "16 1 8 16 13 14 15 16 9 10 13 16 5 8 9 16 3 4 5 16 15 0 3 3 0 1 2 8 5 6 7 13 10 11 12\n"
+ "16 1 8 16 11 12 13 16 9 10 11 16 5 6 9 16 3 4 5 16 13 0 3 3 0 1 2 9 6 7 8 13 14 15 0\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 7 8 0 1 6 7 6 1 4 5 1 2 3 4\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 7 8 0 1 6 7 6 1 2 5 5 2 3 4\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 7 8 0 1 6 7 6 1 2 3 6 3 4 5\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 7 8 0 1 4 7 4 1 2 3 7 4 5 6\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 5 8 0 1 4 5 4 1 2 3 8 5 6 7\n"
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+ "16 1 8 16 11 14 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 11 12 13 14\n"
+ "16 1 8 16 11 12 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 12 13 14 15\n"
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+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 7 8 0 1 2 7 7 2 3 6 6 3 4 5\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 7 8 11 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 11 8 9 10\n"
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+ "16 1 8 16 13 14 15 16 9 10 13 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 13 10 11 12\n"
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+ "16 1 8 16 13 14 15 16 11 12 13 16 7 8 11 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 11 8 9 10\n"
+ "16 1 8 16 13 14 15 16 9 12 13 16 7 8 9 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 12 9 10 11\n"
+ "16 1 8 16 13 14 15 16 9 10 13 16 7 8 9 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 13 10 11 12\n"
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+ "16 1 8 16 13 14 15 16 9 10 13 16 5 6 9 16 15 0 5 5 0 3 4 0 1 2 3 9 6 7 8 13 10 11 12\n"
+ "16 1 8 16 11 14 15 16 9 10 11 16 5 6 9 16 15 0 5 5 0 3 4 0 1 2 3 9 6 7 8 11 12 13 14\n"
+ "16 1 8 16 11 12 15 16 9 10 11 16 5 6 9 16 15 0 5 5 0 3 4 0 1 2 3 9 6 7 8 12 13 14 15\n"
+ "16 1 8 16 13 14 15 16 7 12 13 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 12 7 8 11 11 8 9 10\n"
+ "16 1 8 16 13 14 15 16 7 12 13 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 12 7 8 9 12 9 10 11\n"
+ "16 1 8 16 13 14 15 16 7 10 13 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 10 7 8 9 13 10 11 12\n"
+ "16 1 8 16 11 14 15 16 7 10 11 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 10 7 8 9 11 12 13 14\n"
+ "16 1 8 16 11 12 15 16 7 10 11 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 10 7 8 9 12 13 14 15\n"
+ "16 1 8 16 13 14 15 16 7 8 13 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 13 8 11 12 8 9 10 11\n"
+ "16 1 8 16 13 14 15 16 7 8 13 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 13 8 9 12 12 9 10 11\n"
+ "16 1 8 16 11 12 15 16 7 8 11 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 11 8 9 10 12 13 14 15\n"
+ "16 1 8 16 9 14 15 16 7 8 9 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 9 10 13 14 13 10 11 12\n"
+ "16 1 8 16 9 14 15 16 7 8 9 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 9 10 11 14 14 11 12 13\n"
+ "16 1 8 16 9 12 15 16 7 8 9 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 9 10 11 12 12 13 14 15\n"
+ "16 1 8 16 9 10 15 16 7 8 9 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 10 11 14 15 14 11 12 13\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 1 8 8 1 6 7 1 2 5 6 5 2 3 4\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 1 8 8 1 4 5 1 2 3 4 8 5 6 7\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 7 8 11 16 15 0 7 7 0 1 6 6 1 4 5 1 2 3 4 11 8 9 10\n"
+ "16 1 8 16 13 14 15 16 9 12 13 16 7 8 9 16 15 0 7 7 0 1 6 6 1 4 5 1 2 3 4 12 9 10 11\n"
+ "16 1 8 16 13 14 15 16 9 10 13 16 7 8 9 16 15 0 7 7 0 1 6 6 1 4 5 1 2 3 4 13 10 11 12\n"
+ "16 1 8 16 11 14 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 1 6 6 1 4 5 1 2 3 4 11 12 13 14\n"
+ "16 1 8 16 11 12 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 1 6 6 1 4 5 1 2 3 4 12 13 14 15\n"
+ "16 1 8 16 11 12 13 16 9 10 11 16 7 8 9 16 13 0 7 7 0 1 6 6 1 4 5 1 2 3 4 13 14 15 0\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 1 8 8 1 2 7 7 2 5 6 2 3 4 5\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 1 8 8 1 2 7 7 2 3 6 6 3 4 5\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 1 8 8 1 2 7 7 2 3 4 7 4 5 6\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 1 8 8 1 2 5 5 2 3 4 8 5 6 7\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 7 8 11 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 11 8 9 10\n"
+ "16 1 8 16 13 14 15 16 9 12 13 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 12 9 10 11\n"
+ "16 1 8 16 13 14 15 16 9 10 13 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 13 10 11 12\n"
+ "16 1 8 16 11 14 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 11 12 13 14\n"
+ "16 1 8 16 11 12 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 12 13 14 15\n"
+ "16 1 8 16 11 12 13 16 9 10 11 16 7 8 9 16 13 0 7 7 0 1 6 6 1 2 5 5 2 3 4 13 14 15 0\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 1 8 8 1 2 3 8 3 6 7 3 4 5 6\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 1 8 8 1 2 3 8 3 4 7 7 4 5 6\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 7 8 11 16 15 0 7 7 0 1 6 6 1 2 3 6 3 4 5 11 8 9 10\n"
+ "16 1 8 16 13 14 15 16 9 12 13 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 3 6 3 4 5 12 9 10 11\n"
+ "16 1 8 16 13 14 15 16 9 10 13 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 3 6 3 4 5 13 10 11 12\n"
+ "16 1 8 16 11 14 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 3 6 3 4 5 11 12 13 14\n"
+ "16 1 8 16 11 12 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 3 6 3 4 5 12 13 14 15\n"
+ "16 1 8 16 11 12 13 16 9 10 11 16 7 8 9 16 13 0 7 7 0 1 6 6 1 2 3 6 3 4 5 13 14 15 0\n"
+ "16 1 8 16 13 14 15 16 11 12 13 16 5 6 11 16 15 0 5 5 0 1 4 4 1 2 3 11 6 7 10 10 7 8 9\n"
+ "16 1 8 16 13 14 15 16 9 10 13 16 5 6 9 16 15 0 5 5 0 1 4 4 1 2 3 9 6 7 8 13 10 11 12\n"
+ "16 1 8 16 11 14 15 16 9 10 11 16 5 6 9 16 15 0 5 5 0 1 4 4 1 2 3 9 6 7 8 11 12 13 14\n"
+ "16 1 8 16 11 12 15 16 9 10 11 16 5 6 9 16 15 0 5 5 0 1 4 4 1 2 3 9 6 7 8 12 13 14 15\n"
+ "16 1 8 16 11 12 13 16 9 10 11 16 5 6 9 16 13 0 5 5 0 1 4 4 1 2 3 9 6 7 8 13 14 15 0\n"
+ "16 1 8 16 13 14 15 16 7 12 13 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 12 7 8 11 11 8 9 10\n"
+ "16 1 8 16 13 14 15 16 7 10 13 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 10 7 8 9 13 10 11 12\n"
+ "16 1 8 16 11 14 15 16 7 10 11 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 10 7 8 9 11 12 13 14\n"
+ "16 1 8 16 11 12 15 16 7 10 11 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 10 7 8 9 12 13 14 15\n"
+ "16 1 8 16 11 12 13 16 7 10 11 16 5 6 7 16 13 0 5 5 0 1 4 4 1 2 3 10 7 8 9 13 14 15 0\n"
+ "16 1 8 16 13 14 15 16 7 8 13 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 13 8 9 12 12 9 10 11\n"
+ "16 1 8 16 11 12 15 16 7 8 11 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 11 8 9 10 12 13 14 15\n"
+ "16 1 8 16 11 12 13 16 7 8 11 16 5 6 7 16 13 0 5 5 0 1 4 4 1 2 3 11 8 9 10 13 14 15 0\n"
+ "16 1 8 16 9 14 15 16 7 8 9 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 9 10 13 14 13 10 11 12\n"
+ "16 1 8 16 9 12 15 16 7 8 9 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 9 10 11 12 12 13 14 15\n"
+ "16 1 8 16 9 12 13 16 7 8 9 16 5 6 7 16 13 0 5 5 0 1 4 4 1 2 3 9 10 11 12 13 14 15 0\n"
+ "16 1 8 16 9 10 11 16 7 8 9 16 5 6 7 16 11 0 5 5 0 1 4 4 1 2 3 11 12 15 0 15 12 13 14\n"
+ "16 1 8 16 11 12 15 16 7 8 11 16 3 4 7 16 15 0 3 3 0 1 2 7 4 5 6 11 8 9 10 12 13 14 15\n"
+ "16 1 8 16 11 12 13 16 7 8 11 16 3 4 7 16 13 0 3 3 0 1 2 7 4 5 6 11 8 9 10 13 14 15 0\n"
+ "16 1 8 16 9 12 13 16 7 8 9 16 3 4 7 16 13 0 3 3 0 1 2 7 4 5 6 9 10 11 12 13 14 15 0\n"
+ "16 1 8 16 11 12 13 16 5 8 11 16 3 4 5 16 13 0 3 3 0 1 2 8 5 6 7 11 8 9 10 13 14 15 0\n"
+ "16 1 8 0 13 14 15 0 11 12 13 0 1 10 11 10 1 8 9 1 2 7 8 7 2 16 6 2 3 4 16 6 16 4 5\n"
+ "16 1 8 0 13 14 15 0 11 12 13 0 1 10 11 10 1 8 9 1 2 16 8 16 2 5 6 2 3 4 5 8 16 6 7\n"
+ "16 1 8 0 13 14 15 0 11 12 13 0 1 10 11 10 1 16 9 1 2 7 16 7 2 5 6 2 3 4 5 9 16 7 8\n"
+ "16 1 8 0 13 14 15 0 11 12 13 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 16 16 3 4 5 7 16 5 6\n"
+ "16 1 8 0 13 14 15 0 11 12 13 0 1 10 11 10 1 8 9 1 2 16 8 16 2 3 6 6 3 4 5 8 16 6 7\n"
+ "16 1 8 0 13 14 15 0 11 12 13 0 1 10 11 10 1 16 9 1 2 7 16 7 2 3 6 6 3 4 5 9 16 7 8\n"
+ "16 1 8 0 13 14 15 0 11 12 13 0 1 16 11 16 1 8 9 1 2 7 8 7 2 3 6 6 3 4 5 11 16 9 10\n"
+ "16 1 8 0 13 14 15 0 16 12 13 0 1 10 16 10 1 8 9 1 2 7 8 7 2 3 6 6 3 4 5 12 16 10 11\n"
+ "16 1 8 0 16 14 15 0 11 12 16 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 6 6 3 4 5 16 12 13 14\n"
+ "16 1 8 0 13 14 15 0 11 12 13 0 1 16 11 16 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 11 16 9 10\n"
+;
+
+const char* data_dqrgl_block6 =
+ "16 1 8 0 13 14 15 0 16 12 13 0 1 10 16 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 12 16 10 11\n"
+ "16 1 8 0 16 14 15 0 11 12 16 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 16 12 13 14\n"
+ "16 1 8 0 13 14 15 0 11 12 13 0 1 16 11 16 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 11 16 9 10\n"
+ "16 1 8 0 13 14 15 0 16 12 13 0 1 10 16 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 12 16 10 11\n"
+ "16 1 8 0 16 14 15 0 11 12 16 0 1 10 11 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 16 12 13 14\n"
+ "16 1 8 0 13 14 15 0 11 12 13 0 1 10 11 10 1 8 9 1 2 16 8 16 2 3 4 8 16 4 7 4 5 6 7\n"
+ "16 1 8 0 13 14 15 0 11 12 13 0 1 10 11 10 1 6 7 1 2 16 6 16 2 3 4 6 16 4 5 10 7 8 9\n"
+ "16 1 8 0 13 14 15 0 11 12 13 0 1 8 11 8 1 6 7 1 2 16 6 16 2 3 4 6 16 4 5 11 8 9 10\n"
+ "16 1 8 0 13 14 15 0 9 12 13 0 1 8 9 8 1 6 7 1 2 16 6 16 2 3 4 6 16 4 5 12 9 10 11\n"
+ "16 1 8 0 13 14 15 0 9 10 13 0 1 8 9 8 1 6 7 1 2 16 6 16 2 3 4 6 16 4 5 13 10 11 12\n"
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+ "16 2 9 16 11 14 15 16 9 10 11 16 17 8 9 16 3 4 17 16 15 0 3 3 0 1 2 8 17 4 5 8 5 6 7 11 12 13 14\n"
+ "16 2 9 16 11 12 13 16 9 10 11 16 17 8 9 16 3 4 17 16 13 0 3 3 0 1 2 8 17 4 5 8 5 6 7 13 14 15 0\n"
+ "16 2 9 16 11 12 13 16 9 10 11 16 17 6 9 16 3 4 17 16 13 0 3 3 0 1 2 6 17 4 5 9 6 7 8 13 14 15 0\n"
+ "16 2 9 16 13 14 15 16 7 10 13 16 17 6 7 16 3 4 17 16 15 0 3 3 0 1 2 6 17 4 5 10 7 8 9 13 10 11 12\n"
+ "16 2 9 16 11 12 17 16 9 10 11 16 5 6 9 16 3 4 5 16 17 0 3 3 0 1 2 9 6 7 8 12 15 0 17 12 13 14 15\n"
+ "16 2 9 16 17 14 15 16 7 10 17 16 5 6 7 16 3 4 5 16 15 0 3 3 0 1 2 10 7 8 9 17 10 11 14 14 11 12 13\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 5 6 17 16 3 4 5 16 15 0 3 3 0 1 2 12 17 6 11 6 7 10 11 10 7 8 9\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 5 6 17 16 3 4 5 16 15 0 3 3 0 1 2 12 17 6 11 6 7 8 11 11 8 9 10\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 5 6 17 16 3 4 5 16 15 0 3 3 0 1 2 12 17 6 9 6 7 8 9 12 9 10 11\n"
+ "16 2 9 16 11 12 13 16 17 10 11 16 5 6 17 16 3 4 5 16 13 0 3 3 0 1 2 10 17 6 9 6 7 8 9 13 14 15 0\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 5 6 17 16 3 4 5 16 15 0 3 3 0 1 2 12 17 6 7 12 7 10 11 7 8 9 10\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 5 6 17 16 3 4 5 16 15 0 3 3 0 1 2 12 17 6 7 12 7 8 11 11 8 9 10\n"
+ "16 2 9 16 17 14 15 16 7 8 17 16 5 6 7 16 3 4 5 16 15 0 3 3 0 1 2 17 8 13 14 8 9 12 13 12 9 10 11\n"
+ "16 2 9 16 17 14 15 16 7 8 17 16 5 6 7 16 3 4 5 16 15 0 3 3 0 1 2 17 8 13 14 8 9 10 13 13 10 11 12\n"
+ "16 2 9 16 17 14 15 16 7 8 17 16 5 6 7 16 3 4 5 16 15 0 3 3 0 1 2 17 8 11 14 8 9 10 11 14 11 12 13\n"
+ "16 2 9 16 17 14 15 16 7 8 17 16 5 6 7 16 3 4 5 16 15 0 3 3 0 1 2 17 8 9 14 14 9 12 13 9 10 11 12\n"
+ "16 2 9 16 17 14 15 16 7 8 17 16 5 6 7 16 3 4 5 16 15 0 3 3 0 1 2 17 8 9 14 14 9 10 13 13 10 11 12\n"
+ "16 2 9 16 9 10 17 16 7 8 9 16 5 6 7 16 3 4 5 16 17 0 3 3 0 1 2 10 15 0 17 10 11 14 15 14 11 12 13\n"
+ "16 2 9 16 9 10 17 16 7 8 9 16 5 6 7 16 3 4 5 16 17 0 3 3 0 1 2 10 15 0 17 10 11 12 15 15 12 13 14\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 17 8 9 16 15 0 17 8 17 0 7 0 1 6 7 6 1 4 5 1 2 3 4\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 17 8 9 16 15 0 17 8 17 0 7 0 1 6 7 6 1 2 5 5 2 3 4\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 17 8 9 16 15 0 17 8 17 0 7 0 1 6 7 6 1 2 3 6 3 4 5\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 17 8 9 16 15 0 17 8 17 0 7 0 1 4 7 4 1 2 3 7 4 5 6\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 17 8 9 16 15 0 17 8 17 0 5 0 1 4 5 4 1 2 3 8 5 6 7\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 17 8 9 16 15 0 17 8 17 0 7 0 1 2 7 7 2 5 6 2 3 4 5\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 17 8 9 16 15 0 17 8 17 0 7 0 1 2 7 7 2 3 6 6 3 4 5\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 17 9 9 17 7 8 17 5 6 7 15 0 5 17 5 0 3 4 0 1 2 3\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 17 9 9 17 7 8 17 5 6 7 15 0 5 17 5 0 1 4 4 1 2 3\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 17 9 9 17 7 8 17 3 4 7 15 0 3 17 3 0 1 2 7 4 5 6\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 17 9 9 17 5 8 17 3 4 5 15 0 3 17 3 0 1 2 8 5 6 7\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 7 8 11 16 15 17 7 7 17 5 6 17 3 4 5 15 0 3 17 3 0 1 2 11 8 9 10\n"
+ "16 2 9 16 13 14 15 16 9 12 13 16 7 8 9 16 15 17 7 7 17 5 6 17 3 4 5 15 0 3 17 3 0 1 2 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 9 10 13 16 7 8 9 16 15 17 7 7 17 5 6 17 3 4 5 15 0 3 17 3 0 1 2 13 10 11 12\n"
+ "16 2 9 16 11 14 15 16 9 10 11 16 7 8 9 16 15 17 7 7 17 5 6 17 3 4 5 15 0 3 17 3 0 1 2 11 12 13 14\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 17 9 9 17 7 8 17 1 6 7 15 0 1 17 6 1 2 5 5 2 3 4\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 17 9 9 17 7 8 17 1 6 7 15 0 1 17 6 1 2 3 6 3 4 5\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 17 9 9 17 7 8 17 1 4 7 15 0 1 17 4 1 2 3 7 4 5 6\n"
+ "16 2 9 16 13 14 15 16 9 12 13 16 7 8 9 16 15 17 7 7 17 5 6 17 1 4 5 15 0 1 17 4 1 2 3 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 9 10 13 16 7 8 9 16 15 17 7 7 17 5 6 17 1 4 5 15 0 1 17 4 1 2 3 13 10 11 12\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 7 8 0 1 6 7 6 1 17 5 1 2 3 17 5 17 3 4\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 7 8 0 1 17 7 17 1 4 5 1 2 3 4 7 17 5 6\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 6 17 6 1 4 5 1 2 3 4 8 17 6 7\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 7 8 0 1 6 7 6 1 4 5 1 2 3 4 10 17 8 9\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 9 10 17 16 15 0 9 9 0 7 8 0 1 6 7 6 1 4 5 1 2 3 4 12 17 10 11\n"
+ "16 2 9 16 17 14 15 16 11 12 17 16 9 10 11 16 15 0 9 9 0 7 8 0 1 6 7 6 1 4 5 1 2 3 4 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 7 8 0 1 6 7 6 1 2 17 17 2 3 4 6 17 4 5\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 7 8 0 1 17 7 17 1 2 5 5 2 3 4 7 17 5 6\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 6 17 6 1 2 5 5 2 3 4 8 17 6 7\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 7 8 0 1 6 7 6 1 2 5 5 2 3 4 10 17 8 9\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 9 10 17 16 15 0 9 9 0 7 8 0 1 6 7 6 1 2 5 5 2 3 4 12 17 10 11\n"
+ "16 2 9 16 17 14 15 16 11 12 17 16 9 10 11 16 15 0 9 9 0 7 8 0 1 6 7 6 1 2 5 5 2 3 4 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 7 8 0 1 17 7 17 1 2 3 17 3 4 5 7 17 5 6\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 7 8 0 1 6 7 6 1 2 3 6 3 4 5 10 17 8 9\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 9 10 17 16 15 0 9 9 0 7 8 0 1 6 7 6 1 2 3 6 3 4 5 12 17 10 11\n"
+ "16 2 9 16 17 14 15 16 11 12 17 16 9 10 11 16 15 0 9 9 0 7 8 0 1 6 7 6 1 2 3 6 3 4 5 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 4 17 4 1 2 3 17 4 5 6 8 17 6 7\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 7 8 0 1 4 7 4 1 2 3 7 4 5 6 10 17 8 9\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 9 10 17 16 15 0 9 9 0 7 8 0 1 4 7 4 1 2 3 7 4 5 6 12 17 10 11\n"
+ "16 2 9 16 17 14 15 16 11 12 17 16 9 10 11 16 15 0 9 9 0 7 8 0 1 4 7 4 1 2 3 7 4 5 6 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 7 8 0 1 17 7 17 1 2 3 7 17 3 6 3 4 5 6\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 7 8 11 16 15 0 7 7 0 5 6 0 1 17 5 17 1 2 3 5 17 3 4 11 8 9 10\n"
+ "16 2 9 16 13 14 15 16 9 12 13 16 7 8 9 16 15 0 7 7 0 5 6 0 1 17 5 17 1 2 3 5 17 3 4 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 9 10 13 16 7 8 9 16 15 0 7 7 0 5 6 0 1 17 5 17 1 2 3 5 17 3 4 13 10 11 12\n"
+ "16 2 9 16 11 14 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 5 6 0 1 17 5 17 1 2 3 5 17 3 4 11 12 13 14\n"
+ "16 2 9 16 11 12 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 5 6 0 1 17 5 17 1 2 3 5 17 3 4 12 13 14 15\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 5 8 0 1 4 5 4 1 2 3 8 5 6 7 10 17 8 9\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 9 10 17 16 15 0 9 9 0 5 8 0 1 4 5 4 1 2 3 8 5 6 7 12 17 10 11\n"
+ "16 2 9 16 17 14 15 16 11 12 17 16 9 10 11 16 15 0 9 9 0 5 8 0 1 4 5 4 1 2 3 8 5 6 7 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 4 17 4 1 2 3 8 17 4 5 8 5 6 7\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 7 8 11 16 15 0 7 7 0 17 6 0 1 4 17 4 1 2 3 6 17 4 5 11 8 9 10\n"
+ "16 2 9 16 13 14 15 16 9 12 13 16 7 8 9 16 15 0 7 7 0 17 6 0 1 4 17 4 1 2 3 6 17 4 5 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 9 10 13 16 7 8 9 16 15 0 7 7 0 17 6 0 1 4 17 4 1 2 3 6 17 4 5 13 10 11 12\n"
+ "16 2 9 16 11 14 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 17 6 0 1 4 17 4 1 2 3 6 17 4 5 11 12 13 14\n"
+ "16 2 9 16 11 12 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 17 6 0 1 4 17 4 1 2 3 6 17 4 5 12 13 14 15\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 5 6 0 1 4 5 4 1 2 3 10 17 6 9 6 7 8 9\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 5 6 0 1 4 5 4 1 2 3 10 17 6 7 10 7 8 9\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 8 11 16 15 0 17 17 0 5 6 0 1 4 5 4 1 2 3 8 17 6 7 11 8 9 10\n"
+ "16 2 9 16 13 14 15 16 9 12 13 16 17 8 9 16 15 0 17 17 0 5 6 0 1 4 5 4 1 2 3 8 17 6 7 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 9 10 13 16 17 8 9 16 15 0 17 17 0 5 6 0 1 4 5 4 1 2 3 8 17 6 7 13 10 11 12\n"
+ "16 2 9 16 11 14 15 16 9 10 11 16 17 8 9 16 15 0 17 17 0 5 6 0 1 4 5 4 1 2 3 8 17 6 7 11 12 13 14\n"
+ "16 2 9 16 11 12 15 16 9 10 11 16 17 8 9 16 15 0 17 17 0 5 6 0 1 4 5 4 1 2 3 8 17 6 7 12 13 14 15\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 7 8 17 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 17 8 9 10 12 17 10 11\n"
+ "16 2 9 16 17 14 15 16 11 12 17 16 7 8 11 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 11 8 9 10 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 9 17 13 16 7 8 9 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 17 9 10 11 13 17 11 12\n"
+ "16 2 9 16 17 14 15 16 9 12 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 12 9 10 11 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 7 8 17 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 12 17 8 11 8 9 10 11\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 7 8 17 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 12 17 8 9 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 17 10 13 16 7 8 17 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 10 17 8 9 13 10 11 12\n"
+ "16 2 9 16 11 14 15 16 17 10 11 16 7 8 17 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 10 17 8 9 11 12 13 14\n"
+ "16 2 9 16 11 12 15 16 17 10 11 16 7 8 17 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 10 17 8 9 12 13 14 15\n"
+ "16 2 9 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 17 10 11 12 17 12 13 14\n"
+ "16 2 9 16 11 17 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 11 12 13 17 17 13 14 15\n"
+ "16 2 9 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 17 10 13 14 10 11 12 13\n"
+ "16 2 9 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 17 10 11 14 14 11 12 13\n"
+ "16 2 9 16 17 12 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 17 10 11 12 12 13 14 15\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 7 8 0 1 2 7 7 2 17 6 2 3 4 17 6 17 4 5\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 2 17 17 2 5 6 2 3 4 5 8 17 6 7\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 7 8 0 1 2 7 7 2 5 6 2 3 4 5 10 17 8 9\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 9 10 17 16 15 0 9 9 0 7 8 0 1 2 7 7 2 5 6 2 3 4 5 12 17 10 11\n"
+ "16 2 9 16 17 14 15 16 11 12 17 16 9 10 11 16 15 0 9 9 0 7 8 0 1 2 7 7 2 5 6 2 3 4 5 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 2 17 17 2 3 6 6 3 4 5 8 17 6 7\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 9 10 17 16 15 0 9 9 0 7 8 0 1 2 7 7 2 3 6 6 3 4 5 12 17 10 11\n"
+ "16 2 9 16 17 14 15 16 11 12 17 16 9 10 11 16 15 0 9 9 0 7 8 0 1 2 7 7 2 3 6 6 3 4 5 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 2 17 17 2 3 4 8 17 4 7 4 5 6 7\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 2 17 17 2 3 4 8 17 4 5 8 5 6 7\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 5 6 0 1 2 5 5 2 3 4 10 17 6 9 6 7 8 9\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 5 6 0 1 2 5 5 2 3 4 10 17 6 7 10 7 8 9\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 8 11 16 15 0 17 17 0 5 6 0 1 2 5 5 2 3 4 8 17 6 7 11 8 9 10\n"
+ "16 2 9 16 13 14 15 16 9 12 13 16 17 8 9 16 15 0 17 17 0 5 6 0 1 2 5 5 2 3 4 8 17 6 7 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 9 10 13 16 17 8 9 16 15 0 17 17 0 5 6 0 1 2 5 5 2 3 4 8 17 6 7 13 10 11 12\n"
+ "16 2 9 16 11 14 15 16 9 10 11 16 17 8 9 16 15 0 17 17 0 5 6 0 1 2 5 5 2 3 4 8 17 6 7 11 12 13 14\n"
+ "16 2 9 16 11 12 15 16 9 10 11 16 17 8 9 16 15 0 17 17 0 5 6 0 1 2 5 5 2 3 4 8 17 6 7 12 13 14 15\n"
+ "16 2 9 16 17 14 15 16 11 12 17 16 7 8 11 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 11 8 9 10 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 9 17 13 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 9 10 11 13 17 11 12\n"
+ "16 2 9 16 17 14 15 16 9 12 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 12 9 10 11 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 7 8 17 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 12 17 8 11 8 9 10 11\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 7 8 17 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 12 17 8 9 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 17 10 13 16 7 8 17 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 10 17 8 9 13 10 11 12\n"
+ "16 2 9 16 11 14 15 16 17 10 11 16 7 8 17 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 10 17 8 9 11 12 13 14\n"
+ "16 2 9 16 11 12 15 16 17 10 11 16 7 8 17 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 10 17 8 9 12 13 14 15\n"
+ "16 2 9 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 11 12 17 12 13 14\n"
+;
+
+const char* data_dqrgl_block7 =
+ "16 2 9 16 11 17 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 11 12 13 17 17 13 14 15\n"
+ "16 2 9 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 13 14 10 11 12 13\n"
+ "16 2 9 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 11 14 14 11 12 13\n"
+ "16 2 9 16 17 12 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 11 12 12 13 14 15\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 17 17 4 5 6 8 17 6 7\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 10 17 8 9\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 9 10 17 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 12 17 10 11\n"
+ "16 2 9 16 17 14 15 16 11 12 17 16 9 10 11 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 9 10 17 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 5 8 5 6 7 12 17 10 11\n"
+ "16 2 9 16 17 14 15 16 11 12 17 16 9 10 11 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 5 8 5 6 7 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 3 6 0 1 2 3 6 3 4 5 10 17 6 7 10 7 8 9\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 17 8 11 16 15 0 17 17 0 3 6 0 1 2 3 6 3 4 5 8 17 6 7 11 8 9 10\n"
+ "16 2 9 16 13 14 15 16 9 12 13 16 17 8 9 16 15 0 17 17 0 3 6 0 1 2 3 6 3 4 5 8 17 6 7 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 9 10 13 16 17 8 9 16 15 0 17 17 0 3 6 0 1 2 3 6 3 4 5 8 17 6 7 13 10 11 12\n"
+ "16 2 9 16 11 14 15 16 9 10 11 16 17 8 9 16 15 0 17 17 0 3 6 0 1 2 3 6 3 4 5 8 17 6 7 11 12 13 14\n"
+ "16 2 9 16 11 12 15 16 9 10 11 16 17 8 9 16 15 0 17 17 0 3 6 0 1 2 3 6 3 4 5 8 17 6 7 12 13 14 15\n"
+ "16 2 9 16 17 14 15 16 11 12 17 16 7 8 11 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 11 8 9 10 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 9 17 13 16 7 8 9 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 17 9 10 11 13 17 11 12\n"
+ "16 2 9 16 17 14 15 16 9 12 17 16 7 8 9 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 12 9 10 11 17 12 13 14\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 7 8 17 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 12 17 8 11 8 9 10 11\n"
+ "16 2 9 16 13 14 15 16 17 12 13 16 7 8 17 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 12 17 8 9 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 17 10 13 16 7 8 17 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 10 17 8 9 13 10 11 12\n"
+ "16 2 9 16 11 14 15 16 17 10 11 16 7 8 17 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 10 17 8 9 11 12 13 14\n"
+ "16 2 9 16 11 12 15 16 17 10 11 16 7 8 17 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 10 17 8 9 12 13 14 15\n"
+ "16 2 9 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 17 10 11 12 17 12 13 14\n"
+ "16 2 9 16 11 17 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 11 12 13 17 17 13 14 15\n"
+ "16 2 9 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 17 10 13 14 10 11 12 13\n"
+ "16 2 9 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 17 10 11 14 14 11 12 13\n"
+ "16 2 9 16 17 12 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 3 6 0 1 2 3 6 3 4 5 17 10 11 12 12 13 14 15\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 2 17 8 17 2 7 2 3 6 7 6 3 4 5\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 2 17 8 17 2 7 2 3 4 7 7 4 5 6\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 2 17 8 17 2 5 2 3 4 5 8 5 6 7\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 7 8 11 16 15 0 7 7 0 17 6 0 1 2 17 6 17 2 5 2 3 4 5 11 8 9 10\n"
+ "16 2 9 16 13 14 15 16 9 12 13 16 7 8 9 16 15 0 7 7 0 17 6 0 1 2 17 6 17 2 5 2 3 4 5 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 9 10 13 16 7 8 9 16 15 0 7 7 0 17 6 0 1 2 17 6 17 2 5 2 3 4 5 13 10 11 12\n"
+ "16 2 9 16 11 14 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 17 6 0 1 2 17 6 17 2 5 2 3 4 5 11 12 13 14\n"
+ "16 2 9 16 11 12 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 17 6 0 1 2 17 6 17 2 5 2 3 4 5 12 13 14 15\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 2 17 8 17 2 3 8 3 6 7 3 4 5 6\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 17 8 0 1 2 17 8 17 2 3 8 3 4 7 7 4 5 6\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 7 8 11 16 15 0 7 7 0 17 6 0 1 2 17 6 17 2 3 6 3 4 5 11 8 9 10\n"
+ "16 2 9 16 13 14 15 16 9 12 13 16 7 8 9 16 15 0 7 7 0 17 6 0 1 2 17 6 17 2 3 6 3 4 5 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 9 10 13 16 7 8 9 16 15 0 7 7 0 17 6 0 1 2 17 6 17 2 3 6 3 4 5 13 10 11 12\n"
+ "16 2 9 16 11 14 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 17 6 0 1 2 17 6 17 2 3 6 3 4 5 11 12 13 14\n"
+ "16 2 9 16 11 12 15 16 9 10 11 16 7 8 9 16 15 0 7 7 0 17 6 0 1 2 17 6 17 2 3 6 3 4 5 12 13 14 15\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 5 6 11 16 15 0 5 5 0 17 4 0 1 2 17 4 17 2 3 11 6 9 10 6 7 8 9\n"
+ "16 2 9 16 13 14 15 16 11 12 13 16 5 6 11 16 15 0 5 5 0 17 4 0 1 2 17 4 17 2 3 11 6 7 10 10 7 8 9\n"
+ "16 2 9 16 13 14 15 16 9 10 13 16 5 6 9 16 15 0 5 5 0 17 4 0 1 2 17 4 17 2 3 9 6 7 8 13 10 11 12\n"
+ "16 2 9 16 11 14 15 16 9 10 11 16 5 6 9 16 15 0 5 5 0 17 4 0 1 2 17 4 17 2 3 9 6 7 8 11 12 13 14\n"
+ "16 2 9 16 11 12 15 16 9 10 11 16 5 6 9 16 15 0 5 5 0 17 4 0 1 2 17 4 17 2 3 9 6 7 8 12 13 14 15\n"
+ "16 2 9 16 13 14 15 16 7 12 13 16 5 6 7 16 15 0 5 5 0 17 4 0 1 2 17 4 17 2 3 12 7 8 11 11 8 9 10\n"
+ "16 2 9 16 13 14 15 16 7 12 13 16 5 6 7 16 15 0 5 5 0 17 4 0 1 2 17 4 17 2 3 12 7 8 9 12 9 10 11\n"
+ "16 2 9 16 13 14 15 16 7 10 13 16 5 6 7 16 15 0 5 5 0 17 4 0 1 2 17 4 17 2 3 10 7 8 9 13 10 11 12\n"
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+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 16 9 1 2 17 16 17 2 7 8 2 3 4 7 7 4 5 6 9 16 17 8\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 10 11 1 2 9 10 9 2 7 8 2 3 4 7 7 4 5 6 12 16 17 11\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 8 9 1 2 16 8 16 2 5 17 2 3 4 5 17 5 6 7 8 16 17 7\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 16 9 1 2 17 16 17 2 5 8 2 3 4 5 8 5 6 7 9 16 17 8\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 10 11 1 2 9 10 9 2 5 8 2 3 4 5 8 5 6 7 12 16 17 11\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 8 9 1 2 7 8 7 2 17 16 2 3 4 17 16 17 4 5 7 16 5 6\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 8 9 1 2 16 8 16 2 17 6 2 3 4 17 6 17 4 5 8 16 6 7\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 16 9 1 2 7 16 7 2 17 6 2 3 4 17 6 17 4 5 9 16 7 8\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 16 11 16 1 8 9 1 2 7 8 7 2 17 6 2 3 4 17 6 17 4 5 11 16 9 10\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 10 16 10 1 8 9 1 2 7 8 7 2 17 6 2 3 4 17 6 17 4 5 12 16 10 11\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 10 11 10 1 8 9 1 2 7 8 7 2 17 6 2 3 4 17 6 17 4 5 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 10 11 1 2 9 10 9 2 5 6 2 3 4 5 9 6 7 8 12 16 17 11\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 10 11 1 2 7 10 7 2 5 6 2 3 4 5 10 7 8 9 12 16 17 11\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 16 11 16 1 8 9 1 2 17 8 17 2 5 6 2 3 4 5 8 17 6 7 11 16 9 10\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 10 16 10 1 8 9 1 2 17 8 17 2 5 6 2 3 4 5 8 17 6 7 12 16 10 11\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 16 9 1 2 17 16 17 2 5 6 2 3 4 5 9 16 17 6 9 6 7 8\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 16 7 1 2 17 16 17 2 5 6 2 3 4 5 7 16 17 6 10 7 8 9\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 16 11 16 1 8 17 1 2 7 8 7 2 5 6 2 3 4 5 17 8 9 10 11 16 17 10\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 16 11 16 1 17 9 1 2 7 17 7 2 5 6 2 3 4 5 9 17 7 8 11 16 9 10\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 8 9 1 2 16 8 16 2 3 17 17 3 6 7 3 4 5 6 8 16 17 7\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 16 9 1 2 17 16 17 2 3 8 8 3 6 7 3 4 5 6 9 16 17 8\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 10 11 1 2 9 10 9 2 3 8 8 3 6 7 3 4 5 6 12 16 17 11\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 16 16 3 4 17 17 4 5 6 7 16 17 6\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 8 9 1 2 16 8 16 2 3 17 17 3 4 7 7 4 5 6 8 16 17 7\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 16 9 1 2 17 16 17 2 3 8 8 3 4 7 7 4 5 6 9 16 17 8\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 10 11 1 2 9 10 9 2 3 8 8 3 4 7 7 4 5 6 12 16 17 11\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 10 11 1 2 9 10 9 2 3 8 8 3 4 5 8 5 6 7 12 16 17 11\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 10 11 1 2 9 10 9 2 3 6 6 3 4 5 9 6 7 8 12 16 17 11\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 16 11 16 1 8 9 1 2 7 8 7 2 3 17 17 3 4 5 7 17 5 6 11 16 9 10\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 10 16 10 1 8 9 1 2 7 8 7 2 3 17 17 3 4 5 7 17 5 6 12 16 10 11\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 17 17 3 4 5 7 17 5 6 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 6 7 1 2 16 6 16 2 3 17 17 3 4 5 6 16 17 5 10 7 8 9\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 8 11 8 1 6 7 1 2 16 6 16 2 3 17 17 3 4 5 6 16 17 5 11 8 9 10\n"
+ "16 2 9 0 13 14 15 0 9 12 13 0 1 8 9 8 1 6 7 1 2 16 6 16 2 3 17 17 3 4 5 6 16 17 5 12 9 10 11\n"
+ "16 2 9 0 13 14 15 0 9 10 13 0 1 8 9 8 1 6 7 1 2 16 6 16 2 3 17 17 3 4 5 6 16 17 5 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 9 10 11 0 1 8 9 8 1 6 7 1 2 16 6 16 2 3 17 17 3 4 5 6 16 17 5 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 9 10 11 0 1 8 9 8 1 6 7 1 2 16 6 16 2 3 17 17 3 4 5 6 16 17 5 12 13 14 15\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 10 11 1 2 7 10 7 2 3 6 6 3 4 5 10 7 8 9 12 16 17 11\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 16 11 16 1 8 9 1 2 17 8 17 2 3 6 6 3 4 5 8 17 6 7 11 16 9 10\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 10 16 10 1 8 9 1 2 17 8 17 2 3 6 6 3 4 5 8 17 6 7 12 16 10 11\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 10 11 10 1 8 9 1 2 17 8 17 2 3 6 6 3 4 5 8 17 6 7 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 16 7 1 2 17 16 17 2 3 6 6 3 4 5 7 16 17 6 10 7 8 9\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 8 11 8 1 16 7 1 2 17 16 17 2 3 6 6 3 4 5 7 16 17 6 11 8 9 10\n"
+ "16 2 9 0 13 14 15 0 9 12 13 0 1 8 9 8 1 16 7 1 2 17 16 17 2 3 6 6 3 4 5 7 16 17 6 12 9 10 11\n"
+ "16 2 9 0 13 14 15 0 9 10 13 0 1 8 9 8 1 16 7 1 2 17 16 17 2 3 6 6 3 4 5 7 16 17 6 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 9 10 11 0 1 8 9 8 1 16 7 1 2 17 16 17 2 3 6 6 3 4 5 7 16 17 6 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 9 10 11 0 1 8 9 8 1 16 7 1 2 17 16 17 2 3 6 6 3 4 5 7 16 17 6 12 13 14 15\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 16 11 16 1 8 17 1 2 7 8 7 2 3 6 6 3 4 5 17 8 9 10 11 16 17 10\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 8 11 1 2 7 8 7 2 3 6 6 3 4 5 11 8 9 10 12 16 17 11\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 17 16 1 2 7 17 7 2 3 6 6 3 4 5 16 17 7 8 10 16 8 9\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 16 11 16 1 17 9 1 2 7 17 7 2 3 6 6 3 4 5 9 17 7 8 11 16 9 10\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 10 16 10 1 17 9 1 2 7 17 7 2 3 6 6 3 4 5 9 17 7 8 12 16 10 11\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 10 11 10 1 17 9 1 2 7 17 7 2 3 6 6 3 4 5 9 17 7 8 16 12 13 14\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 17 11 17 1 8 9 1 2 7 8 7 2 3 6 6 3 4 5 11 17 9 10 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 8 9 1 2 7 8 7 2 3 6 6 3 4 5 12 16 17 9 12 9 10 11\n"
+ "16 2 9 0 13 14 15 0 16 10 13 0 1 17 16 17 1 8 9 1 2 7 8 7 2 3 6 6 3 4 5 10 16 17 9 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 16 10 11 0 1 17 16 17 1 8 9 1 2 7 8 7 2 3 6 6 3 4 5 10 16 17 9 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 16 10 11 0 1 17 16 17 1 8 9 1 2 7 8 7 2 3 6 6 3 4 5 10 16 17 9 12 13 14 15\n"
+ "16 2 9 0 16 14 15 0 11 17 16 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 6 6 3 4 5 17 11 12 13 16 17 13 14\n"
+ "16 2 9 0 13 14 15 0 17 16 13 0 1 10 17 10 1 8 9 1 2 7 8 7 2 3 6 6 3 4 5 16 17 10 11 13 16 11 12\n"
+ "16 2 9 0 16 14 15 0 17 12 16 0 1 10 17 10 1 8 9 1 2 7 8 7 2 3 6 6 3 4 5 12 17 10 11 16 12 13 14\n"
+ "16 2 9 0 16 17 15 0 11 12 16 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 6 6 3 4 5 16 12 13 17 17 13 14 15\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 10 11 1 2 9 10 9 2 3 4 9 4 7 8 4 5 6 7 12 16 17 11\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 10 11 1 2 9 10 9 2 3 4 9 4 5 8 8 5 6 7 12 16 17 11\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 16 11 16 1 8 17 1 2 7 8 7 2 3 4 7 4 5 6 17 8 9 10 11 16 17 10\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 8 11 1 2 7 8 7 2 3 4 7 4 5 6 11 8 9 10 12 16 17 11\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 17 11 17 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 11 17 9 10 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 12 16 17 9 12 9 10 11\n"
+ "16 2 9 0 13 14 15 0 16 10 13 0 1 17 16 17 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 10 16 17 9 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 16 10 11 0 1 17 16 17 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 10 16 17 9 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 16 10 11 0 1 17 16 17 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 10 16 17 9 12 13 14 15\n"
+ "16 2 9 0 16 14 15 0 11 17 16 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 17 11 12 13 16 17 13 14\n"
+ "16 2 9 0 13 14 15 0 17 16 13 0 1 10 17 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 16 17 10 11 13 16 11 12\n"
+ "16 2 9 0 16 14 15 0 17 12 16 0 1 10 17 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 12 17 10 11 16 12 13 14\n"
+ "16 2 9 0 16 17 15 0 11 12 16 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 16 12 13 17 17 13 14 15\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 10 11 1 2 5 10 5 2 3 4 10 5 6 9 9 6 7 8 12 16 17 11\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 17 11 17 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 11 17 9 10 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 12 16 17 9 12 9 10 11\n"
+ "16 2 9 0 13 14 15 0 16 10 13 0 1 17 16 17 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 10 16 17 9 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 16 10 11 0 1 17 16 17 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 10 16 17 9 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 16 10 11 0 1 17 16 17 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 10 16 17 9 12 13 14 15\n"
+ "16 2 9 0 16 14 15 0 11 17 16 0 1 10 11 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 17 11 12 13 16 17 13 14\n"
+ "16 2 9 0 13 14 15 0 17 16 13 0 1 10 17 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 16 17 10 11 13 16 11 12\n"
+ "16 2 9 0 16 14 15 0 17 12 16 0 1 10 17 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 12 17 10 11 16 12 13 14\n"
+ "16 2 9 0 16 17 15 0 11 12 16 0 1 10 11 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 16 12 13 17 17 13 14 15\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 16 11 16 1 8 9 1 2 17 8 17 2 3 4 8 17 4 7 4 5 6 7 11 16 9 10\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 10 16 10 1 8 9 1 2 17 8 17 2 3 4 8 17 4 7 4 5 6 7 12 16 10 11\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 10 11 10 1 8 9 1 2 17 8 17 2 3 4 8 17 4 7 4 5 6 7 16 12 13 14\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 10 11 10 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 10 7 8 9 16 12 13 14\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 8 11 8 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 11 8 9 10 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 16 11 16 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 11 16 7 10 7 8 9 10\n"
+ "16 2 9 0 13 14 15 0 9 10 13 0 1 16 9 16 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 9 16 7 8 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 9 10 11 0 1 16 9 16 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 9 16 7 8 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 9 10 11 0 1 16 9 16 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 9 16 7 8 12 13 14 15\n"
+;
+
+const char* data_dqrgl_block8 =
+ "16 2 9 0 13 14 15 0 9 16 13 0 1 8 9 8 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 16 9 10 11 13 16 11 12\n"
+ "16 2 9 0 16 14 15 0 9 12 16 0 1 8 9 8 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 12 9 10 11 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 8 16 8 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 12 16 8 9 12 9 10 11\n"
+ "16 2 9 0 13 14 15 0 16 10 13 0 1 8 16 8 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 10 16 8 9 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 16 10 11 0 1 8 16 8 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 10 16 8 9 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 16 10 11 0 1 8 16 8 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 10 16 8 9 12 13 14 15\n"
+ "16 2 9 0 11 16 15 0 9 10 11 0 1 8 9 8 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 11 12 13 16 16 13 14 15\n"
+ "16 2 9 0 16 14 15 0 9 10 16 0 1 8 9 8 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 16 10 13 14 10 11 12 13\n"
+ "16 2 9 0 16 14 15 0 9 10 16 0 1 8 9 8 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 16 10 11 14 14 11 12 13\n"
+ "16 2 9 0 16 12 15 0 9 10 16 0 1 8 9 8 1 6 7 1 2 17 6 17 2 3 4 6 17 4 5 16 10 11 12 12 13 14 15\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 16 9 1 2 17 16 17 2 3 4 9 16 17 4 9 4 5 8 8 5 6 7\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 8 11 8 1 16 7 1 2 17 16 17 2 3 4 7 16 17 4 7 4 5 6 11 8 9 10\n"
+ "16 2 9 0 13 14 15 0 9 12 13 0 1 8 9 8 1 16 7 1 2 17 16 17 2 3 4 7 16 17 4 7 4 5 6 12 9 10 11\n"
+ "16 2 9 0 13 14 15 0 9 10 13 0 1 8 9 8 1 16 7 1 2 17 16 17 2 3 4 7 16 17 4 7 4 5 6 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 9 10 11 0 1 8 9 8 1 16 7 1 2 17 16 17 2 3 4 7 16 17 4 7 4 5 6 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 9 10 11 0 1 8 9 8 1 16 7 1 2 17 16 17 2 3 4 7 16 17 4 7 4 5 6 12 13 14 15\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 10 5 6 9 9 6 7 8\n"
+ "16 2 9 0 13 14 15 0 9 12 13 0 1 8 9 8 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 8 5 6 7 12 9 10 11\n"
+ "16 2 9 0 13 14 15 0 9 10 13 0 1 8 9 8 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 8 5 6 7 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 9 10 11 0 1 8 9 8 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 8 5 6 7 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 9 10 11 0 1 8 9 8 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 8 5 6 7 12 13 14 15\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 6 11 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 11 6 7 10 10 7 8 9\n"
+ "16 2 9 0 13 14 15 0 9 10 13 0 1 6 9 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 9 6 7 8 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 9 10 11 0 1 6 9 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 9 6 7 8 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 9 10 11 0 1 6 9 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 9 6 7 8 12 13 14 15\n"
+ "16 2 9 0 13 14 15 0 7 12 13 0 1 6 7 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 12 7 8 11 11 8 9 10\n"
+ "16 2 9 0 13 14 15 0 7 12 13 0 1 6 7 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 12 7 8 9 12 9 10 11\n"
+ "16 2 9 0 13 14 15 0 7 10 13 0 1 6 7 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 10 7 8 9 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 7 10 11 0 1 6 7 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 10 7 8 9 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 7 10 11 0 1 6 7 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 10 7 8 9 12 13 14 15\n"
+ "16 2 9 0 13 14 15 0 7 8 13 0 1 6 7 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 13 8 11 12 8 9 10 11\n"
+ "16 2 9 0 13 14 15 0 7 8 13 0 1 6 7 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 13 8 9 12 12 9 10 11\n"
+ "16 2 9 0 11 12 15 0 7 8 11 0 1 6 7 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 11 8 9 10 12 13 14 15\n"
+ "16 2 9 0 9 14 15 0 7 8 9 0 1 6 7 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 9 10 13 14 13 10 11 12\n"
+ "16 2 9 0 9 14 15 0 7 8 9 0 1 6 7 6 1 16 5 1 2 17 16 17 2 3 4 5 16 17 4 9 10 11 14 14 11 12 13\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 6 16 1 2 5 6 5 2 3 4 16 6 7 17 17 7 8 9 10 16 17 9\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 16 11 16 1 6 17 1 2 5 6 5 2 3 4 17 6 7 10 10 7 8 9 11 16 17 10\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 6 11 1 2 5 6 5 2 3 4 11 6 7 10 10 7 8 9 12 16 17 11\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 10 11 10 1 6 17 1 2 5 6 5 2 3 4 17 6 7 8 10 17 8 9 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 9 10 13 0 1 16 9 16 1 6 17 1 2 5 6 5 2 3 4 17 6 7 8 9 16 17 8 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 9 10 11 0 1 16 9 16 1 6 17 1 2 5 6 5 2 3 4 17 6 7 8 9 16 17 8 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 9 10 11 0 1 16 9 16 1 6 17 1 2 5 6 5 2 3 4 17 6 7 8 9 16 17 8 12 13 14 15\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 17 11 17 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 11 17 9 10 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 16 10 13 0 1 17 16 17 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 10 16 17 9 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 16 10 11 0 1 17 16 17 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 10 16 17 9 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 16 10 11 0 1 17 16 17 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 10 16 17 9 12 13 14 15\n"
+ "16 2 9 0 16 14 15 0 11 17 16 0 1 10 11 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 17 11 12 13 16 17 13 14\n"
+ "16 2 9 0 13 14 15 0 17 16 13 0 1 10 17 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 16 17 10 11 13 16 11 12\n"
+ "16 2 9 0 16 14 15 0 17 12 16 0 1 10 17 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 12 17 10 11 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 10 16 10 1 17 9 1 2 5 17 5 2 3 4 9 17 5 6 9 6 7 8 12 16 10 11\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 10 11 10 1 17 9 1 2 5 17 5 2 3 4 9 17 5 6 9 6 7 8 16 12 13 14\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 10 11 10 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 10 7 8 9 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 11 12 13 0 1 10 11 10 1 17 16 1 2 5 17 5 2 3 4 16 17 5 6 10 16 6 9 6 7 8 9\n"
+ "16 2 9 0 13 14 15 0 9 12 13 0 1 8 9 8 1 17 16 1 2 5 17 5 2 3 4 16 17 5 6 8 16 6 7 12 9 10 11\n"
+ "16 2 9 0 13 14 15 0 9 10 13 0 1 8 9 8 1 17 16 1 2 5 17 5 2 3 4 16 17 5 6 8 16 6 7 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 9 10 11 0 1 8 9 8 1 17 16 1 2 5 17 5 2 3 4 16 17 5 6 8 16 6 7 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 9 10 11 0 1 8 9 8 1 17 16 1 2 5 17 5 2 3 4 16 17 5 6 8 16 6 7 12 13 14 15\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 8 11 8 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 11 8 9 10 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 9 10 13 0 1 16 9 16 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 9 16 7 8 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 9 10 11 0 1 16 9 16 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 9 16 7 8 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 9 10 11 0 1 16 9 16 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 9 16 7 8 12 13 14 15\n"
+ "16 2 9 0 13 14 15 0 9 16 13 0 1 8 9 8 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 16 9 10 11 13 16 11 12\n"
+ "16 2 9 0 16 14 15 0 9 12 16 0 1 8 9 8 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 12 9 10 11 16 12 13 14\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 8 16 8 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 12 16 8 9 12 9 10 11\n"
+ "16 2 9 0 13 14 15 0 16 10 13 0 1 8 16 8 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 10 16 8 9 13 10 11 12\n"
+ "16 2 9 0 11 14 15 0 16 10 11 0 1 8 16 8 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 10 16 8 9 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 16 10 11 0 1 8 16 8 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 10 16 8 9 12 13 14 15\n"
+ "16 2 9 0 16 14 15 0 9 10 16 0 1 8 9 8 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 16 10 13 14 10 11 12 13\n"
+ "16 2 9 0 16 14 15 0 9 10 16 0 1 8 9 8 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 16 10 11 14 14 11 12 13\n"
+ "16 2 9 0 16 12 15 0 9 10 16 0 1 8 9 8 1 17 7 1 2 5 17 5 2 3 4 7 17 5 6 16 10 11 12 12 13 14 15\n"
+ "16 2 9 0 16 14 15 0 11 17 16 0 1 10 11 10 1 6 7 1 2 5 6 5 2 3 4 10 7 8 9 17 11 12 13 16 17 13 14\n"
+ "16 2 9 0 16 14 15 0 11 12 16 0 1 17 11 17 1 6 7 1 2 5 6 5 2 3 4 11 17 7 10 7 8 9 10 16 12 13 14\n"
+ "16 2 9 0 16 14 15 0 9 10 16 0 1 17 9 17 1 6 7 1 2 5 6 5 2 3 4 9 17 7 8 16 10 13 14 10 11 12 13\n"
+ "16 2 9 0 16 14 15 0 9 10 16 0 1 17 9 17 1 6 7 1 2 5 6 5 2 3 4 9 17 7 8 16 10 11 14 14 11 12 13\n"
+ "16 2 9 0 13 14 15 0 16 12 13 0 1 17 16 17 1 6 7 1 2 5 6 5 2 3 4 12 16 17 7 12 7 8 11 11 8 9 10\n"
+ "16 2 9 0 11 14 15 0 16 10 11 0 1 17 16 17 1 6 7 1 2 5 6 5 2 3 4 10 16 17 7 10 7 8 9 11 12 13 14\n"
+ "16 2 9 0 11 12 15 0 16 10 11 0 1 17 16 17 1 6 7 1 2 5 6 5 2 3 4 10 16 17 7 10 7 8 9 12 13 14 15\n"
+ "16 2 9 0 13 14 15 0 16 8 13 0 1 17 16 17 1 6 7 1 2 5 6 5 2 3 4 8 16 17 7 13 8 9 12 12 9 10 11\n"
+ "16 2 9 0 9 14 15 0 16 8 9 0 1 17 16 17 1 6 7 1 2 5 6 5 2 3 4 8 16 17 7 9 10 13 14 13 10 11 12\n"
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+;
+
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+;
+
+const char* data_dqrgl_block10 =
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+ "16 3 10 16 17 14 15 16 11 18 17 16 9 10 11 16 15 0 9 9 0 5 8 0 1 4 5 4 1 2 3 8 5 6 7 18 11 12 13 17 18 13 14\n"
+ "16 3 10 16 14 15 17 16 10 13 14 16 8 9 10 16 17 18 8 8 18 4 7 18 0 3 4 3 0 1 2 7 4 5 6 13 10 11 12 15 0 18 17\n"
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+ "16 3 10 16 9 17 15 16 7 8 9 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 9 10 18 17 18 10 11 12 18 12 13 14 17 18 14 15\n"
+;
+
+const char* data_dqrgl_block11 =
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+ "16 3 10 16 17 18 15 16 7 8 17 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 17 8 13 18 8 9 12 13 12 9 10 11 18 13 14 15\n"
+ "16 3 10 16 17 14 15 16 7 8 17 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 17 8 18 14 8 9 10 18 18 10 11 12 14 18 12 13\n"
+ "16 3 10 16 17 14 15 16 7 8 17 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 17 8 18 14 8 9 10 18 14 18 10 13 10 11 12 13\n"
+ "16 3 10 16 17 14 15 16 7 8 17 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 17 8 9 14 14 9 18 13 9 10 11 18 13 18 11 12\n"
+ "16 3 10 16 17 18 15 16 7 8 17 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 17 8 9 18 18 9 14 15 9 10 13 14 13 10 11 12\n"
+ "16 3 10 16 17 18 15 16 7 8 17 16 5 6 7 16 15 0 5 5 0 3 4 0 1 2 3 17 8 9 18 18 9 14 15 9 10 11 14 14 11 12 13\n"
+ "16 3 10 16 13 14 15 16 11 12 13 16 9 10 11 16 15 17 9 9 17 7 8 15 0 7 17 7 0 5 6 0 1 18 5 18 1 2 3 5 18 3 4\n"
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+ "16 3 10 16 13 17 18 16 11 12 13 16 7 8 11 16 18 0 7 7 0 1 6 6 1 2 5 5 2 3 4 11 8 9 10 13 14 15 17 17 15 0 18\n"
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+ "16 3 10 16 14 15 17 16 8 13 14 16 6 7 8 16 17 18 6 6 18 0 5 5 0 1 4 4 1 2 3 13 8 9 12 12 9 10 11 15 0 18 17\n"
+ "16 3 10 16 14 15 17 16 8 11 14 16 6 7 8 16 17 18 6 6 18 0 5 5 0 1 4 4 1 2 3 11 8 9 10 14 11 12 13 15 0 18 17\n"
+ "16 3 10 16 17 14 15 16 9 18 17 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 18 9 10 11 17 18 11 14 14 11 12 13\n"
+ "16 3 10 16 17 12 15 16 9 18 17 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 18 9 10 11 17 18 11 12 12 13 14 15\n"
+ "16 3 10 16 17 12 13 16 9 18 17 16 7 8 9 16 13 0 7 7 0 1 6 6 1 2 5 5 2 3 4 18 9 10 11 17 18 11 12 13 14 15 0\n"
+ "16 3 10 16 13 17 18 16 9 12 13 16 7 8 9 16 18 0 7 7 0 1 6 6 1 2 5 5 2 3 4 12 9 10 11 13 14 15 17 17 15 0 18\n"
+ "16 3 10 16 12 15 17 16 8 11 12 16 6 7 8 16 17 18 6 6 18 0 5 5 0 1 4 4 1 2 3 11 8 9 10 12 13 14 15 15 0 18 17\n"
+ "16 3 10 16 17 18 15 16 9 12 17 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 12 9 10 11 17 12 13 18 18 13 14 15\n"
+ "16 3 10 16 17 14 18 16 9 12 17 16 7 8 9 16 18 0 7 7 0 1 6 6 1 2 5 5 2 3 4 12 9 10 11 17 12 13 14 14 15 0 18\n"
+ "16 3 10 16 13 14 15 16 17 12 13 16 7 8 17 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 12 17 8 18 8 9 10 18 12 18 10 11\n"
+ "16 3 10 16 13 14 15 16 18 17 13 16 7 8 18 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 17 18 8 11 8 9 10 11 13 17 11 12\n"
+ "16 3 10 16 17 14 15 16 18 12 17 16 7 8 18 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 12 18 8 11 8 9 10 11 17 12 13 14\n"
+ "16 3 10 16 13 14 17 16 18 12 13 16 7 8 18 16 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 12 18 8 11 8 9 10 11 14 15 0 17\n"
+ "16 3 10 16 13 14 17 16 18 12 13 16 7 8 18 16 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 12 18 8 9 12 9 10 11 14 15 0 17\n"
+;
+
+const char* data_dqrgl_block12 =
+ "16 3 10 16 13 14 17 16 18 10 13 16 7 8 18 16 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 10 18 8 9 13 10 11 12 14 15 0 17\n"
+ "16 3 10 16 13 14 15 16 18 17 13 16 7 8 18 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 17 18 8 9 13 17 9 12 9 10 11 12\n"
+ "16 3 10 16 11 12 15 16 18 17 11 16 7 8 18 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 17 18 8 9 11 17 9 10 12 13 14 15\n"
+ "16 3 10 16 11 12 13 16 18 17 11 16 7 8 18 16 13 0 7 7 0 1 6 6 1 2 5 5 2 3 4 17 18 8 9 11 17 9 10 13 14 15 0\n"
+ "16 3 10 16 11 14 17 16 18 10 11 16 7 8 18 16 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 10 18 8 9 11 12 13 14 14 15 0 17\n"
+ "16 3 10 16 17 14 15 16 18 10 17 16 7 8 18 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 10 18 8 9 17 10 11 14 14 11 12 13\n"
+ "16 3 10 16 17 12 15 16 18 10 17 16 7 8 18 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 10 18 8 9 17 10 11 12 12 13 14 15\n"
+ "16 3 10 16 17 12 13 16 18 10 17 16 7 8 18 16 13 0 7 7 0 1 6 6 1 2 5 5 2 3 4 10 18 8 9 17 10 11 12 13 14 15 0\n"
+ "16 3 10 16 11 12 17 16 18 10 11 16 7 8 18 16 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 10 18 8 9 12 13 14 17 17 14 15 0\n"
+ "16 3 10 16 11 12 17 16 18 10 11 16 7 8 18 16 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 10 18 8 9 12 15 0 17 12 13 14 15\n"
+ "16 3 10 16 14 15 17 16 8 9 14 16 6 7 8 16 17 18 6 6 18 0 5 5 0 1 4 4 1 2 3 14 9 10 13 13 10 11 12 15 0 18 17\n"
+ "16 3 10 16 11 17 18 16 9 10 11 16 7 8 9 16 18 0 7 7 0 1 6 6 1 2 5 5 2 3 4 11 12 15 17 15 12 13 14 17 15 0 18\n"
+ "16 3 10 16 10 15 17 16 8 9 10 16 6 7 8 16 17 18 6 6 18 0 5 5 0 1 4 4 1 2 3 10 11 14 15 14 11 12 13 15 0 18 17\n"
+ "16 3 10 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 17 10 18 14 10 11 12 18 14 18 12 13\n"
+ "16 3 10 16 17 18 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 17 10 13 18 10 11 12 13 18 13 14 15\n"
+ "16 3 10 16 17 14 18 16 9 10 17 16 7 8 9 16 18 0 7 7 0 1 6 6 1 2 5 5 2 3 4 17 10 13 14 10 11 12 13 14 15 0 18\n"
+ "16 3 10 16 17 18 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 17 10 11 18 18 11 14 15 11 12 13 14\n"
+ "16 3 10 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 1 8 8 1 2 3 8 3 17 7 3 4 18 17 18 4 5 6 7 17 18 6\n"
+ "16 3 10 16 14 15 17 16 12 13 14 16 10 11 12 16 17 18 10 10 18 0 9 9 0 1 2 9 2 7 8 2 3 6 7 6 3 4 5 15 0 18 17\n"
+ "16 3 10 16 14 15 17 16 12 13 14 16 10 11 12 16 17 18 10 10 18 0 9 9 0 1 2 9 2 7 8 2 3 4 7 7 4 5 6 15 0 18 17\n"
+ "16 3 10 16 14 15 17 16 12 13 14 16 10 11 12 16 17 18 10 10 18 0 9 9 0 1 2 9 2 5 8 2 3 4 5 8 5 6 7 15 0 18 17\n"
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+ "16 3 10 16 13 14 17 16 11 12 13 16 9 10 11 16 17 0 9 9 0 1 8 8 1 2 3 8 3 18 7 3 4 5 18 7 18 5 6 14 15 0 17\n"
+ "16 3 10 16 14 15 17 16 12 13 14 16 8 9 12 16 17 18 8 8 18 0 7 7 0 1 2 7 2 5 6 2 3 4 5 12 9 10 11 15 0 18 17\n"
+ "16 3 10 16 17 14 15 16 11 18 17 16 9 10 11 16 15 0 9 9 0 1 8 8 1 2 3 8 3 6 7 3 4 5 6 18 11 12 13 17 18 13 14\n"
+ "16 3 10 16 14 15 17 16 10 13 14 16 8 9 10 16 17 18 8 8 18 0 7 7 0 1 2 7 2 5 6 2 3 4 5 13 10 11 12 15 0 18 17\n"
+ "16 3 10 16 13 14 15 16 18 17 13 16 9 10 18 16 15 0 9 9 0 1 8 8 1 2 3 8 3 6 7 3 4 5 6 17 18 10 11 13 17 11 12\n"
+ "16 3 10 16 17 14 15 16 18 12 17 16 9 10 18 16 15 0 9 9 0 1 8 8 1 2 3 8 3 6 7 3 4 5 6 12 18 10 11 17 12 13 14\n"
+ "16 3 10 16 13 14 17 16 18 12 13 16 9 10 18 16 17 0 9 9 0 1 8 8 1 2 3 8 3 6 7 3 4 5 6 12 18 10 11 14 15 0 17\n"
+ "16 3 10 16 14 15 17 16 10 11 14 16 8 9 10 16 17 18 8 8 18 0 7 7 0 1 2 7 2 5 6 2 3 4 5 14 11 12 13 15 0 18 17\n"
+ "16 3 10 16 13 17 18 16 11 12 13 16 9 10 11 16 18 0 9 9 0 1 8 8 1 2 3 8 3 6 7 3 4 5 6 13 14 15 17 17 15 0 18\n"
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+;
+
+const char* data_dqrgl_block13 =
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+ "16 4 11 16 13 14 15 16 11 12 13 16 9 10 11 16 17 8 9 16 15 18 17 17 18 3 4 18 19 2 3 15 0 19 18 2 19 0 1 8 17 4 5 8 5 6 7\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 9 10 11 16 17 6 9 16 15 18 17 17 18 3 4 18 19 2 3 15 0 19 18 2 19 0 1 6 17 4 5 9 6 7 8\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 7 10 11 16 17 6 7 16 15 18 17 17 18 3 4 18 19 2 3 15 0 19 18 2 19 0 1 6 17 4 5 10 7 8 9\n"
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+ "16 4 11 16 14 17 18 16 12 13 14 16 10 11 12 16 6 7 10 16 18 19 6 6 19 2 5 19 0 1 2 5 2 3 4 10 7 8 9 17 0 19 18 14 15 0 17\n"
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+ "16 4 11 16 14 17 18 16 12 13 14 16 8 11 12 16 6 7 8 16 18 19 6 6 19 2 5 19 0 1 2 5 2 3 4 11 8 9 10 17 0 19 18 14 15 0 17\n"
+;
+
+const char* data_dqrgl_block14 =
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+ "16 4 11 16 14 15 17 16 12 13 14 16 18 9 12 16 6 7 18 16 17 19 6 6 19 2 5 19 0 1 2 5 2 3 4 9 18 7 8 12 9 10 11 15 0 19 17\n"
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+ "16 4 11 16 14 15 17 16 10 13 14 16 18 9 10 16 6 7 18 16 17 19 6 6 19 2 5 19 0 1 2 5 2 3 4 9 18 7 8 13 10 11 12 15 0 19 17\n"
+ "16 4 11 16 14 15 17 16 10 11 14 16 18 9 10 16 6 7 18 16 17 19 6 6 19 2 5 19 0 1 2 5 2 3 4 9 18 7 8 14 11 12 13 15 0 19 17\n"
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+ "16 4 11 16 12 13 17 16 10 11 12 16 18 9 10 16 6 7 18 16 17 19 6 6 19 2 5 19 0 1 2 5 2 3 4 9 18 7 8 13 0 19 17 13 14 15 0\n"
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+;
+
+const char* data_dqrgl_block15 =
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+ "16 4 11 16 12 13 17 16 10 11 12 16 18 7 10 16 4 5 18 16 17 19 4 4 19 2 3 19 0 1 2 7 18 5 6 10 7 8 9 13 0 19 17 13 14 15 0\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 5 6 19 16 15 0 5 5 0 3 4 0 1 2 3 18 19 6 7 17 18 7 10 7 8 9 10 12 17 10 11\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 5 6 19 16 15 0 5 5 0 3 4 0 1 2 3 18 19 6 7 17 18 7 8 12 17 8 11 8 9 10 11\n"
+ "16 4 11 16 13 14 15 16 17 10 13 16 19 18 17 16 5 6 19 16 15 0 5 5 0 3 4 0 1 2 3 18 19 6 7 17 18 7 8 10 17 8 9 13 10 11 12\n"
+ "16 4 11 16 11 14 15 16 17 10 11 16 19 18 17 16 5 6 19 16 15 0 5 5 0 3 4 0 1 2 3 18 19 6 7 17 18 7 8 10 17 8 9 11 12 13 14\n"
+ "16 4 11 16 11 12 15 16 17 10 11 16 19 18 17 16 5 6 19 16 15 0 5 5 0 3 4 0 1 2 3 18 19 6 7 17 18 7 8 10 17 8 9 12 13 14 15\n"
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+;
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+ "16 4 11 16 14 15 17 16 8 11 14 16 6 7 8 16 4 5 6 16 17 18 4 4 18 19 3 3 19 1 2 11 8 9 10 14 11 12 13 15 19 18 17 15 0 1 19\n"
+ "16 4 11 16 17 12 18 16 9 19 17 16 7 8 9 16 5 6 7 16 18 0 5 5 0 1 4 4 1 2 3 19 9 10 11 17 19 11 12 12 13 14 18 18 14 15 0\n"
+ "16 4 11 16 17 18 19 16 9 12 17 16 7 8 9 16 5 6 7 16 19 0 5 5 0 1 4 4 1 2 3 12 9 10 11 17 12 13 18 18 13 14 15 18 15 0 19\n"
+ "16 4 11 16 17 18 19 16 9 12 17 16 7 8 9 16 5 6 7 16 19 0 5 5 0 1 4 4 1 2 3 12 9 10 11 17 12 13 18 18 13 14 19 19 14 15 0\n"
+ "16 4 11 16 14 15 17 16 10 13 14 16 8 9 10 16 6 7 8 16 17 18 6 6 18 19 5 5 19 3 4 13 10 11 12 15 19 18 17 15 0 3 19 3 0 1 2\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 18 19 8 11 8 9 10 11 18 11 12 13 17 18 13 14\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 18 19 8 11 8 9 10 11 17 18 11 12 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 18 19 8 9 18 9 12 13 9 10 11 12 17 18 13 14\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 18 19 8 9 18 9 10 13 13 10 11 12 17 18 13 14\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 18 19 8 9 18 9 10 11 17 18 11 14 14 11 12 13\n"
+ "16 4 11 16 17 12 15 16 19 18 17 16 7 8 19 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 18 19 8 9 18 9 10 11 17 18 11 12 12 13 14 15\n"
+ "16 4 11 16 17 12 13 16 19 18 17 16 7 8 19 16 5 6 7 16 13 0 5 5 0 1 4 4 1 2 3 18 19 8 9 18 9 10 11 17 18 11 12 13 14 15 0\n"
+ "16 4 11 16 17 14 18 16 19 10 17 16 7 8 19 16 5 6 7 16 18 0 5 5 0 1 4 4 1 2 3 10 19 8 9 17 10 11 12 17 12 13 14 14 15 0 18\n"
+ "16 4 11 16 17 12 15 16 19 18 17 16 7 8 19 16 5 6 7 16 15 0 5 5 0 1 4 4 1 2 3 18 19 8 9 17 18 9 10 17 10 11 12 12 13 14 15\n"
+ "16 4 11 16 17 12 13 16 19 18 17 16 7 8 19 16 5 6 7 16 13 0 5 5 0 1 4 4 1 2 3 18 19 8 9 17 18 9 10 17 10 11 12 13 14 15 0\n"
+ "16 4 11 16 11 12 17 16 19 18 11 16 7 8 19 16 5 6 7 16 17 0 5 5 0 1 4 4 1 2 3 18 19 8 9 11 18 9 10 12 13 14 17 17 14 15 0\n"
+ "16 4 11 16 17 12 18 16 19 10 17 16 7 8 19 16 5 6 7 16 18 0 5 5 0 1 4 4 1 2 3 10 19 8 9 17 10 11 12 12 13 14 18 18 14 15 0\n"
+ "16 4 11 16 14 15 17 16 10 11 14 16 8 9 10 16 6 7 8 16 17 18 6 6 18 19 5 5 19 3 4 14 11 12 13 15 19 18 17 15 0 3 19 3 0 1 2\n"
+ "16 4 11 16 17 18 19 16 9 10 17 16 7 8 9 16 5 6 7 16 19 0 5 5 0 1 4 4 1 2 3 17 10 13 18 10 11 12 13 18 13 14 15 18 15 0 19\n"
+ "16 4 11 16 17 18 19 16 9 10 17 16 7 8 9 16 5 6 7 16 19 0 5 5 0 1 4 4 1 2 3 17 10 13 18 10 11 12 13 18 13 14 19 19 14 15 0\n"
+ "16 4 11 16 17 18 19 16 9 10 17 16 7 8 9 16 5 6 7 16 19 0 5 5 0 1 4 4 1 2 3 17 10 11 18 18 11 14 15 11 12 13 14 18 15 0 19\n"
+ "16 4 11 16 17 18 19 16 9 10 17 16 7 8 9 16 5 6 7 16 19 0 5 5 0 1 4 4 1 2 3 17 10 11 18 18 11 12 15 15 12 13 14 18 15 0 19\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 10 11 12 16 8 9 10 16 17 18 8 8 18 19 7 7 19 5 6 15 19 18 17 15 0 5 19 5 0 3 4 0 1 2 3\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 10 11 12 16 8 9 10 16 17 18 8 8 18 19 7 7 19 5 6 15 19 18 17 15 0 5 19 5 0 1 4 4 1 2 3\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 8 17 16 19 4 18 16 15 0 19 19 0 1 2 4 19 2 3 18 4 5 6 8 18 6 7 17 8 9 10 12 17 10 11\n"
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+ "16 4 11 16 17 14 15 16 9 12 17 16 18 8 9 16 19 4 18 16 15 0 19 19 0 1 2 4 19 2 3 18 4 5 6 8 18 6 7 12 9 10 11 17 12 13 14\n"
+ "16 4 11 16 13 14 17 16 9 12 13 16 18 8 9 16 19 4 18 16 17 0 19 19 0 1 2 4 19 2 3 18 4 5 6 8 18 6 7 12 9 10 11 14 15 0 17\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 8 17 16 19 4 18 16 15 0 19 19 0 1 2 4 19 2 3 18 4 5 6 8 18 6 7 12 17 8 9 12 9 10 11\n"
+ "16 4 11 16 13 14 15 16 17 10 13 16 18 8 17 16 19 4 18 16 15 0 19 19 0 1 2 4 19 2 3 18 4 5 6 8 18 6 7 10 17 8 9 13 10 11 12\n"
+ "16 4 11 16 11 14 15 16 17 10 11 16 18 8 17 16 19 4 18 16 15 0 19 19 0 1 2 4 19 2 3 18 4 5 6 8 18 6 7 10 17 8 9 11 12 13 14\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 19 4 18 16 15 0 19 19 0 1 2 4 19 2 3 18 4 5 6 8 18 6 7 17 10 11 12 17 12 13 14\n"
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+ "16 4 11 16 17 14 15 16 18 12 17 16 7 8 18 16 19 4 7 16 15 0 19 19 0 1 2 4 19 2 3 7 4 5 6 18 8 9 10 12 18 10 11 17 12 13 14\n"
+ "16 4 11 16 13 14 17 16 18 12 13 16 7 8 18 16 19 4 7 16 17 0 19 19 0 1 2 4 19 2 3 7 4 5 6 18 8 9 10 12 18 10 11 14 15 0 17\n"
+ "16 4 11 16 14 15 17 16 10 11 14 16 6 7 10 16 18 3 6 16 17 19 18 18 19 0 1 3 18 1 2 6 3 4 5 10 7 8 9 14 11 12 13 15 0 19 17\n"
+ "16 4 11 16 13 17 18 16 11 12 13 16 7 8 11 16 19 4 7 16 18 0 19 19 0 1 2 4 19 2 3 7 4 5 6 11 8 9 10 13 14 15 17 17 15 0 18\n"
+ "16 4 11 16 12 15 17 16 10 11 12 16 6 7 10 16 18 3 6 16 17 19 18 18 19 0 1 3 18 1 2 6 3 4 5 10 7 8 9 12 13 14 15 15 0 19 17\n"
+ "16 4 11 16 17 18 15 16 11 12 17 16 7 8 11 16 19 4 7 16 15 0 19 19 0 1 2 4 19 2 3 7 4 5 6 11 8 9 10 17 12 13 18 18 13 14 15\n"
+ "16 4 11 16 17 14 18 16 11 12 17 16 7 8 11 16 19 4 7 16 18 0 19 19 0 1 2 4 19 2 3 7 4 5 6 11 8 9 10 17 12 13 14 14 15 0 18\n"
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+ "16 4 11 16 14 15 17 16 8 11 14 16 6 7 8 16 18 3 6 16 17 19 18 18 19 0 1 3 18 1 2 6 3 4 5 11 8 9 10 14 11 12 13 15 0 19 17\n"
+ "16 4 11 16 17 14 15 16 9 18 17 16 7 8 9 16 19 4 7 16 15 0 19 19 0 1 2 4 19 2 3 7 4 5 6 18 9 10 11 17 18 11 14 14 11 12 13\n"
+ "16 4 11 16 17 12 15 16 9 18 17 16 7 8 9 16 19 4 7 16 15 0 19 19 0 1 2 4 19 2 3 7 4 5 6 18 9 10 11 17 18 11 12 12 13 14 15\n"
+ "16 4 11 16 17 12 13 16 9 18 17 16 7 8 9 16 19 4 7 16 13 0 19 19 0 1 2 4 19 2 3 7 4 5 6 18 9 10 11 17 18 11 12 13 14 15 0\n"
+ "16 4 11 16 13 17 18 16 9 12 13 16 7 8 9 16 19 4 7 16 18 0 19 19 0 1 2 4 19 2 3 7 4 5 6 12 9 10 11 13 14 15 17 17 15 0 18\n"
+ "16 4 11 16 12 15 17 16 8 11 12 16 6 7 8 16 18 3 6 16 17 19 18 18 19 0 1 3 18 1 2 6 3 4 5 11 8 9 10 12 13 14 15 15 0 19 17\n"
+ "16 4 11 16 17 18 15 16 9 12 17 16 7 8 9 16 19 4 7 16 15 0 19 19 0 1 2 4 19 2 3 7 4 5 6 12 9 10 11 17 12 13 18 18 13 14 15\n"
+ "16 4 11 16 17 14 18 16 9 12 17 16 7 8 9 16 19 4 7 16 18 0 19 19 0 1 2 4 19 2 3 7 4 5 6 12 9 10 11 17 12 13 14 14 15 0 18\n"
+ "16 4 11 16 12 13 17 16 8 11 12 16 6 7 8 16 18 3 6 16 17 19 18 18 19 0 1 3 18 1 2 6 3 4 5 11 8 9 10 13 0 19 17 13 14 15 0\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 7 8 17 16 18 4 7 16 15 0 18 18 0 1 2 4 18 2 3 7 4 5 6 12 17 8 19 8 9 10 19 12 19 10 11\n"
+ "16 4 11 16 13 14 15 16 18 17 13 16 7 8 18 16 19 4 7 16 15 0 19 19 0 1 2 4 19 2 3 7 4 5 6 17 18 8 11 8 9 10 11 13 17 11 12\n"
+ "16 4 11 16 17 14 15 16 18 12 17 16 7 8 18 16 19 4 7 16 15 0 19 19 0 1 2 4 19 2 3 7 4 5 6 12 18 8 11 8 9 10 11 17 12 13 14\n"
+ "16 4 11 16 13 14 17 16 18 12 13 16 7 8 18 16 19 4 7 16 17 0 19 19 0 1 2 4 19 2 3 7 4 5 6 12 18 8 11 8 9 10 11 14 15 0 17\n"
+;
+
+const char* data_dqrgl_block17 =
+ "16 4 11 16 13 14 17 16 18 12 13 16 7 8 18 16 19 4 7 16 17 0 19 19 0 1 2 4 19 2 3 7 4 5 6 12 18 8 9 12 9 10 11 14 15 0 17\n"
+ "16 4 11 16 17 14 15 16 18 10 17 16 7 8 18 16 19 4 7 16 15 0 19 19 0 1 2 4 19 2 3 7 4 5 6 10 18 8 9 17 10 11 12 17 12 13 14\n"
+ "16 4 11 16 13 14 17 16 18 10 13 16 7 8 18 16 19 4 7 16 17 0 19 19 0 1 2 4 19 2 3 7 4 5 6 10 18 8 9 13 10 11 12 14 15 0 17\n"
+ "16 4 11 16 11 12 15 16 18 17 11 16 7 8 18 16 19 4 7 16 15 0 19 19 0 1 2 4 19 2 3 7 4 5 6 17 18 8 9 11 17 9 10 12 13 14 15\n"
+ "16 4 11 16 11 14 17 16 18 10 11 16 7 8 18 16 19 4 7 16 17 0 19 19 0 1 2 4 19 2 3 7 4 5 6 10 18 8 9 11 12 13 14 14 15 0 17\n"
+ "16 4 11 16 17 14 15 16 18 10 17 16 7 8 18 16 19 4 7 16 15 0 19 19 0 1 2 4 19 2 3 7 4 5 6 10 18 8 9 17 10 11 14 14 11 12 13\n"
+ "16 4 11 16 17 12 15 16 18 10 17 16 7 8 18 16 19 4 7 16 15 0 19 19 0 1 2 4 19 2 3 7 4 5 6 10 18 8 9 17 10 11 12 12 13 14 15\n"
+ "16 4 11 16 17 12 13 16 18 10 17 16 7 8 18 16 19 4 7 16 13 0 19 19 0 1 2 4 19 2 3 7 4 5 6 10 18 8 9 17 10 11 12 13 14 15 0\n"
+ "16 4 11 16 11 12 17 16 18 10 11 16 7 8 18 16 19 4 7 16 17 0 19 19 0 1 2 4 19 2 3 7 4 5 6 10 18 8 9 12 15 0 17 12 13 14 15\n"
+ "16 4 11 16 17 14 18 16 9 10 17 16 7 8 9 16 19 4 7 16 18 0 19 19 0 1 2 4 19 2 3 7 4 5 6 17 10 11 12 17 12 13 14 14 15 0 18\n"
+ "16 4 11 16 12 13 17 16 8 9 12 16 6 7 8 16 18 3 6 16 17 19 18 18 19 0 1 3 18 1 2 6 3 4 5 12 9 10 11 13 0 19 17 13 14 15 0\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 7 8 9 16 18 4 7 16 15 0 18 18 0 1 2 4 18 2 3 7 4 5 6 17 10 19 14 10 11 12 19 14 19 12 13\n"
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+ "16 4 11 16 13 14 15 16 17 12 13 16 5 6 17 16 18 4 5 16 15 0 18 18 0 1 2 4 18 2 3 12 17 6 19 6 7 10 19 10 7 8 9 12 19 10 11\n"
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+ "16 4 11 16 13 14 15 16 17 12 13 16 5 6 17 16 18 4 5 16 15 0 18 18 0 1 2 4 18 2 3 12 17 6 19 6 7 8 19 12 19 8 11 8 9 10 11\n"
+ "16 4 11 16 17 14 15 16 18 10 17 16 5 6 18 16 19 4 5 16 15 0 19 19 0 1 2 4 19 2 3 10 18 6 9 6 7 8 9 17 10 11 14 14 11 12 13\n"
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+ "16 4 11 16 17 18 19 16 11 12 17 16 7 8 11 16 3 4 7 16 19 0 3 3 0 1 2 7 4 5 6 11 8 9 10 17 12 13 18 18 13 14 15 18 15 0 19\n"
+ "16 4 11 16 17 18 19 16 9 12 17 16 7 8 9 16 3 4 7 16 19 0 3 3 0 1 2 7 4 5 6 12 9 10 11 17 12 13 18 18 13 14 15 18 15 0 19\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 3 4 7 16 15 0 3 3 0 1 2 7 4 5 6 18 19 8 11 8 9 10 11 18 11 12 13 17 18 13 14\n"
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+;
+
+const char* data_dqrgl_block18 =
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+;
+
+const char* data_dqrgl_block19 =
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+ "16 4 11 16 9 10 15 16 7 8 9 16 17 6 7 16 15 0 17 17 0 19 18 0 1 4 19 4 1 2 3 18 19 4 5 6 17 18 5 10 13 14 15 10 11 12 13\n"
+ "16 4 11 16 9 10 15 16 7 8 9 16 17 6 7 16 15 0 17 17 0 19 18 0 1 4 19 4 1 2 3 18 19 4 5 6 17 18 5 10 11 14 15 14 11 12 13\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 18 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 10 18 6 7 10 7 8 9 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 8 11 16 15 0 18 18 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 8 18 6 7 11 8 9 10 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 18 17 11 16 15 0 18 18 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 17 18 6 7 11 17 7 10 7 8 9 10\n"
+ "16 4 11 16 13 14 15 16 9 10 13 16 18 17 9 16 15 0 18 18 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 17 18 6 7 9 17 7 8 13 10 11 12\n"
+ "16 4 11 16 11 14 15 16 9 10 11 16 18 17 9 16 15 0 18 18 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 17 18 6 7 9 17 7 8 11 12 13 14\n"
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+ "16 4 11 16 13 14 15 16 9 17 13 16 18 8 9 16 15 0 18 18 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 8 18 6 7 17 9 10 11 13 17 11 12\n"
+ "16 4 11 16 17 14 15 16 9 12 17 16 18 8 9 16 15 0 18 18 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 8 18 6 7 12 9 10 11 17 12 13 14\n"
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+ "16 4 11 16 11 14 15 16 17 10 11 16 18 8 17 16 15 0 18 18 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 8 18 6 7 10 17 8 9 11 12 13 14\n"
+ "16 4 11 16 11 12 15 16 17 10 11 16 18 8 17 16 15 0 18 18 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 8 18 6 7 10 17 8 9 12 13 14 15\n"
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+ "16 4 11 16 11 17 15 16 9 10 11 16 18 8 9 16 15 0 18 18 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 8 18 6 7 11 12 13 17 17 13 14 15\n"
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+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 18 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 8 18 6 7 17 10 11 14 14 11 12 13\n"
+ "16 4 11 16 17 12 15 16 9 10 17 16 18 8 9 16 15 0 18 18 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 8 18 6 7 17 10 11 12 12 13 14 15\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 6 7 12 16 17 18 6 6 18 19 5 18 0 3 19 3 0 1 2 5 19 3 4 12 7 10 11 7 8 9 10 15 0 18 17\n"
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+ "16 4 11 16 13 14 15 16 9 17 13 16 7 8 9 16 15 0 7 7 0 18 6 0 1 4 18 4 1 2 3 6 18 4 5 17 9 10 19 19 10 11 12 13 17 19 12\n"
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+ "16 4 11 16 17 14 15 16 9 18 17 16 7 8 9 16 15 0 7 7 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 18 9 10 11 18 11 12 13 17 18 13 14\n"
+ "16 4 11 16 14 15 17 16 8 13 14 16 6 7 8 16 17 18 6 6 18 19 5 18 0 3 19 3 0 1 2 5 19 3 4 13 8 9 10 13 10 11 12 15 0 18 17\n"
+ "16 4 11 16 17 14 15 16 9 18 17 16 7 8 9 16 15 0 7 7 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 18 9 10 11 17 18 11 12 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 9 18 17 16 7 8 9 16 15 0 7 7 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 18 9 10 11 17 18 11 14 14 11 12 13\n"
+ "16 4 11 16 17 12 15 16 9 18 17 16 7 8 9 16 15 0 7 7 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 18 9 10 11 17 18 11 12 12 13 14 15\n"
+ "16 4 11 16 12 15 17 16 8 11 12 16 6 7 8 16 17 18 6 6 18 19 5 18 0 3 19 3 0 1 2 5 19 3 4 11 8 9 10 12 13 14 15 15 0 18 17\n"
+ "16 4 11 16 17 18 15 16 9 12 17 16 7 8 9 16 15 0 7 7 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 12 9 10 11 17 12 13 18 18 13 14 15\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 7 8 17 16 15 0 7 7 0 18 6 0 1 4 18 4 1 2 3 6 18 4 5 12 17 8 19 8 9 10 19 12 19 10 11\n"
+ "16 4 11 16 13 14 15 16 18 17 13 16 7 8 18 16 15 0 7 7 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 17 18 8 11 8 9 10 11 13 17 11 12\n"
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+ "16 4 11 16 17 14 15 16 18 10 17 16 7 8 18 16 15 0 7 7 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 10 18 8 9 17 10 11 12 17 12 13 14\n"
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+ "16 4 11 16 11 17 15 16 18 10 11 16 7 8 18 16 15 0 7 7 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 10 18 8 9 11 12 13 17 17 13 14 15\n"
+ "16 4 11 16 17 14 15 16 18 10 17 16 7 8 18 16 15 0 7 7 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 10 18 8 9 17 10 11 14 14 11 12 13\n"
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+ "16 4 11 16 17 18 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 19 6 0 1 4 19 4 1 2 3 6 19 4 5 17 10 13 18 10 11 12 13 18 13 14 15\n"
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+ "16 4 11 16 14 15 17 16 12 13 14 16 18 11 12 16 17 19 18 18 19 4 5 19 0 3 4 3 0 1 2 11 18 5 10 5 6 7 10 10 7 8 9 15 0 19 17\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 19 0 5 6 0 1 4 5 4 1 2 3 18 19 6 9 6 7 8 9 18 9 10 11 12 17 18 11\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 18 11 12 16 17 19 18 18 19 4 5 19 0 3 4 3 0 1 2 11 18 5 8 5 6 7 8 11 8 9 10 15 0 19 17\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 18 0 5 6 0 1 4 5 4 1 2 3 10 18 6 19 6 7 8 19 10 19 8 9 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 9 10 13 16 18 17 9 16 15 0 18 18 0 5 6 0 1 4 5 4 1 2 3 17 18 6 19 6 7 8 19 9 17 19 8 13 10 11 12\n"
+ "16 4 11 16 11 14 15 16 9 10 11 16 18 17 9 16 15 0 18 18 0 5 6 0 1 4 5 4 1 2 3 17 18 6 19 6 7 8 19 9 17 19 8 11 12 13 14\n"
+ "16 4 11 16 11 12 15 16 9 10 11 16 18 17 9 16 15 0 18 18 0 5 6 0 1 4 5 4 1 2 3 17 18 6 19 6 7 8 19 9 17 19 8 12 13 14 15\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 18 9 12 16 17 19 18 18 19 4 5 19 0 3 4 3 0 1 2 9 18 5 8 5 6 7 8 12 9 10 11 15 0 19 17\n"
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+ "16 4 11 16 17 14 15 16 11 12 17 16 19 18 11 16 15 0 19 19 0 5 6 0 1 4 5 4 1 2 3 18 19 6 9 6 7 8 9 11 18 9 10 17 12 13 14\n"
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+ "16 4 11 16 11 14 15 16 17 10 11 16 19 18 17 16 15 0 19 19 0 5 6 0 1 4 5 4 1 2 3 18 19 6 9 6 7 8 9 10 17 18 9 11 12 13 14\n"
+;
+
+const char* data_dqrgl_block20 =
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+ "16 4 11 16 17 14 15 16 11 18 17 16 19 10 11 16 15 0 19 19 0 5 6 0 1 4 5 4 1 2 3 10 19 6 9 6 7 8 9 18 11 12 13 17 18 13 14\n"
+ "16 4 11 16 14 15 17 16 10 13 14 16 18 9 10 16 17 19 18 18 19 4 5 19 0 3 4 3 0 1 2 9 18 5 8 5 6 7 8 13 10 11 12 15 0 19 17\n"
+ "16 4 11 16 13 14 15 16 18 17 13 16 19 10 18 16 15 0 19 19 0 5 6 0 1 4 5 4 1 2 3 10 19 6 9 6 7 8 9 17 18 10 11 13 17 11 12\n"
+ "16 4 11 16 17 14 15 16 18 12 17 16 19 10 18 16 15 0 19 19 0 5 6 0 1 4 5 4 1 2 3 10 19 6 9 6 7 8 9 12 18 10 11 17 12 13 14\n"
+ "16 4 11 16 14 15 17 16 10 11 14 16 18 9 10 16 17 19 18 18 19 4 5 19 0 3 4 3 0 1 2 9 18 5 8 5 6 7 8 14 11 12 13 15 0 19 17\n"
+ "16 4 11 16 12 15 17 16 10 11 12 16 18 9 10 16 17 19 18 18 19 4 5 19 0 3 4 3 0 1 2 9 18 5 8 5 6 7 8 12 13 14 15 15 0 19 17\n"
+ "16 4 11 16 17 18 15 16 11 12 17 16 19 10 11 16 15 0 19 19 0 5 6 0 1 4 5 4 1 2 3 10 19 6 9 6 7 8 9 17 12 13 18 18 13 14 15\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 19 0 5 6 0 1 4 5 4 1 2 3 18 19 6 7 18 7 10 11 7 8 9 10 12 17 18 11\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 18 11 12 16 17 19 18 18 19 4 5 19 0 3 4 3 0 1 2 11 18 5 6 11 6 9 10 6 7 8 9 15 0 19 17\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 19 0 5 6 0 1 4 5 4 1 2 3 18 19 6 7 18 7 8 11 11 8 9 10 12 17 18 11\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 19 0 5 6 0 1 4 5 4 1 2 3 18 19 6 7 18 7 8 9 12 17 18 9 12 9 10 11\n"
+ "16 4 11 16 13 14 15 16 17 10 13 16 19 18 17 16 15 0 19 19 0 5 6 0 1 4 5 4 1 2 3 18 19 6 7 18 7 8 9 10 17 18 9 13 10 11 12\n"
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+ "16 4 11 16 13 14 15 16 18 17 13 16 7 8 18 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 18 8 9 10 17 18 10 19 10 11 12 19 13 17 19 12\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 19 8 9 10 18 19 10 13 10 11 12 13 17 18 13 14\n"
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+ "16 4 11 16 14 15 17 16 18 13 14 16 6 7 18 16 17 19 6 6 19 4 5 19 0 3 4 3 0 1 2 18 7 8 9 13 18 9 10 13 10 11 12 15 0 19 17\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 19 8 9 10 18 19 10 11 17 18 11 12 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 15 0 7 7 0 5 6 0 1 4 5 4 1 2 3 19 8 9 10 18 19 10 11 17 18 11 14 14 11 12 13\n"
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+ "16 4 11 16 13 14 15 16 17 12 13 16 7 8 17 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 12 17 8 18 8 9 19 18 19 9 10 11 12 18 19 11\n"
+ "16 4 11 16 13 14 15 16 18 17 13 16 7 8 18 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 18 8 19 8 9 12 19 12 9 10 11 13 17 19 12\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 18 19 8 13 8 9 12 13 12 9 10 11 17 18 13 14\n"
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+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 18 19 8 11 8 9 10 11 18 11 12 13 17 18 13 14\n"
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+ "16 4 11 16 12 13 17 16 18 11 12 16 6 7 18 16 17 19 6 6 19 4 5 19 0 1 4 4 1 2 3 11 18 7 10 7 8 9 10 13 0 19 17 13 14 15 0\n"
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+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 18 19 8 9 18 9 10 13 13 10 11 12 17 18 13 14\n"
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+ "16 4 11 16 17 12 15 16 19 18 17 16 7 8 19 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 18 19 8 9 17 18 9 10 17 10 11 12 12 13 14 15\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 7 8 19 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 18 19 8 9 17 18 9 14 14 9 10 13 13 10 11 12\n"
+ "16 4 11 16 17 10 15 16 19 18 17 16 7 8 19 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 18 19 8 9 17 18 9 10 10 11 14 15 14 11 12 13\n"
+ "16 4 11 16 11 17 15 16 18 10 11 16 7 8 18 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 10 18 8 9 11 12 19 17 19 12 13 14 17 19 14 15\n"
+ "16 4 11 16 10 15 17 16 18 9 10 16 6 7 18 16 17 19 6 6 19 4 5 19 0 1 4 4 1 2 3 9 18 7 8 10 11 14 15 14 11 12 13 15 0 19 17\n"
+ "16 4 11 16 17 18 15 16 19 10 17 16 7 8 19 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 10 19 8 9 17 10 11 18 18 11 12 13 18 13 14 15\n"
+ "16 4 11 16 17 18 15 16 19 10 17 16 7 8 19 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 10 19 8 9 17 10 11 18 18 11 14 15 11 12 13 14\n"
+ "16 4 11 16 10 11 17 16 18 9 10 16 6 7 18 16 17 19 6 6 19 4 5 19 0 1 4 4 1 2 3 9 18 7 8 11 0 19 17 11 12 15 0 15 12 13 14\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 19 18 10 11 12 19 18 19 12 13 17 18 13 14\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 11 18 18 11 12 19 17 18 19 14 14 19 12 13\n"
+ "16 4 11 16 17 18 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 11 19 19 11 12 13 17 19 13 18 18 13 14 15\n"
+ "16 4 11 16 17 18 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 11 12 17 12 19 18 12 13 14 19 18 19 14 15\n"
+ "16 4 11 16 10 17 18 16 8 9 10 16 6 7 8 16 18 19 6 6 19 4 5 19 0 1 4 4 1 2 3 10 11 12 17 17 0 19 18 17 12 15 0 12 13 14 15\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 18 14 10 11 19 18 19 11 12 13 14 18 19 13\n"
+ "16 4 11 16 17 18 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 19 18 10 11 14 19 14 11 12 13 18 19 14 15\n"
+ "16 4 11 16 17 15 18 16 8 9 17 16 6 7 8 16 18 19 6 6 19 4 5 19 0 1 4 4 1 2 3 17 9 14 15 9 10 13 14 13 10 11 12 15 0 19 18\n"
+ "16 4 11 16 17 18 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 19 18 10 11 12 19 19 12 13 14 18 19 14 15\n"
+ "16 4 11 16 17 15 18 16 8 9 17 16 6 7 8 16 18 19 6 6 19 4 5 19 0 1 4 4 1 2 3 17 9 14 15 9 10 11 14 14 11 12 13 15 0 19 18\n"
+ "16 4 11 16 17 18 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 19 18 10 11 12 19 18 19 12 13 18 13 14 15\n"
+ "16 4 11 16 17 18 15 16 9 10 17 16 7 8 9 16 15 0 7 7 0 5 6 0 1 2 5 5 2 3 4 17 10 11 18 18 11 12 19 19 12 13 14 18 19 14 15\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 9 10 11 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 17 17 4 19 18 4 5 6 19 18 19 6 7 8 17 18 7\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 3 18 0 1 2 3 18 3 4 9 9 4 19 8 4 5 6 19 8 19 6 7 10 17 18 9\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 10 11 12 16 17 18 10 10 18 2 9 18 0 1 2 9 2 3 8 8 3 19 7 3 4 5 19 7 19 5 6 15 0 18 17\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 3 18 0 1 2 3 18 3 4 19 19 4 7 8 4 5 6 7 18 19 8 9 10 17 18 9\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 10 11 12 16 17 18 10 10 18 2 9 18 0 1 2 9 2 3 19 19 3 6 7 3 4 5 6 9 19 7 8 15 0 18 17\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 10 17 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 9 9 4 7 8 4 5 6 7 10 18 19 9 12 17 10 11\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 9 9 4 7 8 4 5 6 7 10 18 19 9 17 12 13 14\n"
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+ "16 4 11 16 14 15 17 16 12 13 14 16 10 11 12 16 17 18 10 10 18 2 9 18 19 1 2 9 2 3 8 8 3 6 7 3 4 5 6 15 19 18 17 15 0 1 19\n"
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+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 3 18 0 1 2 3 18 3 4 19 19 4 5 8 8 5 6 7 18 19 8 9 10 17 18 9\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 10 11 12 16 17 18 10 10 18 2 9 18 0 1 2 9 2 3 19 19 3 4 7 7 4 5 6 9 19 7 8 15 0 18 17\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 10 17 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 9 9 4 5 8 8 5 6 7 10 18 19 9 12 17 10 11\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 9 9 4 5 8 8 5 6 7 10 18 19 9 17 12 13 14\n"
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+ "16 4 11 16 17 15 18 16 12 13 17 16 10 11 12 16 18 19 10 10 19 2 9 19 0 1 2 9 2 3 8 8 3 4 7 7 4 5 6 17 13 14 15 15 0 19 18\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 10 11 12 16 17 18 10 10 18 2 9 18 19 1 2 9 2 3 8 8 3 4 7 7 4 5 6 15 19 18 17 15 0 1 19\n"
+ "16 4 11 16 14 17 18 16 12 13 14 16 10 11 12 16 18 19 10 10 19 2 9 19 0 1 2 9 2 3 8 8 3 4 7 7 4 5 6 17 0 19 18 14 15 0 17\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 3 18 0 1 2 3 18 3 4 19 19 4 5 6 19 6 7 8 18 19 8 9 10 17 18 9\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 19 0 3 10 0 1 2 3 10 3 4 9 9 4 5 6 9 6 7 8 18 19 10 11 12 17 18 11\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 18 11 12 16 17 19 18 18 19 2 9 19 0 1 2 9 2 3 8 8 3 4 5 8 5 6 7 11 18 9 10 15 0 19 17\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 11 12 19 16 15 0 11 11 0 3 10 0 1 2 3 10 3 4 9 9 4 5 6 9 6 7 8 18 19 12 13 17 18 13 14\n"
+ "16 4 11 16 14 15 17 16 18 13 14 16 10 11 18 16 17 19 10 10 19 2 9 19 0 1 2 9 2 3 8 8 3 4 5 8 5 6 7 13 18 11 12 15 0 19 17\n"
+ "16 4 11 16 17 15 18 16 12 13 17 16 10 11 12 16 18 19 10 10 19 2 9 19 0 1 2 9 2 3 8 8 3 4 5 8 5 6 7 17 13 14 15 15 0 19 18\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 10 11 12 16 17 18 10 10 18 2 9 18 19 1 2 9 2 3 8 8 3 4 5 8 5 6 7 15 19 18 17 15 0 1 19\n"
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+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 3 18 0 1 2 3 18 3 4 7 7 4 5 6 18 7 8 19 10 17 18 19 10 19 8 9\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 18 17 11 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 19 7 8 9 17 18 19 9 11 17 9 10\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 10 17 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 19 7 8 9 10 18 19 9 12 17 10 11\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 19 7 8 9 10 18 19 9 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 11 12 19 16 15 0 11 11 0 3 10 0 1 2 3 10 3 4 7 7 4 5 6 10 7 8 9 18 19 12 13 17 18 13 14\n"
+ "16 4 11 16 14 15 17 16 18 13 14 16 10 11 18 16 17 19 10 10 19 2 9 19 0 1 2 9 2 3 6 6 3 4 5 9 6 7 8 13 18 11 12 15 0 19 17\n"
+ "16 4 11 16 17 15 18 16 12 13 17 16 10 11 12 16 18 19 10 10 19 2 9 19 0 1 2 9 2 3 6 6 3 4 5 9 6 7 8 17 13 14 15 15 0 19 18\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 10 11 12 16 17 18 10 10 18 2 9 18 19 1 2 9 2 3 6 6 3 4 5 9 6 7 8 15 19 18 17 15 0 1 19\n"
+ "16 4 11 16 14 17 18 16 12 13 14 16 10 11 12 16 18 19 10 10 19 2 9 19 0 1 2 9 2 3 6 6 3 4 5 9 6 7 8 17 0 19 18 14 15 0 17\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 3 18 0 1 2 3 18 3 4 19 19 4 5 6 18 19 6 9 6 7 8 9 10 17 18 9\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 17 0 3 18 0 1 2 3 18 3 4 19 19 4 5 6 18 19 6 7 10 17 18 7 10 7 8 9\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 8 11 16 15 0 17 17 0 3 18 0 1 2 3 18 3 4 19 19 4 5 6 18 19 6 7 8 17 18 7 11 8 9 10\n"
+ "16 4 11 16 13 14 15 16 9 12 13 16 17 8 9 16 15 0 17 17 0 3 18 0 1 2 3 18 3 4 19 19 4 5 6 18 19 6 7 8 17 18 7 12 9 10 11\n"
+ "16 4 11 16 13 14 15 16 9 10 13 16 17 8 9 16 15 0 17 17 0 3 18 0 1 2 3 18 3 4 19 19 4 5 6 18 19 6 7 8 17 18 7 13 10 11 12\n"
+ "16 4 11 16 11 14 15 16 9 10 11 16 17 8 9 16 15 0 17 17 0 3 18 0 1 2 3 18 3 4 19 19 4 5 6 18 19 6 7 8 17 18 7 11 12 13 14\n"
+ "16 4 11 16 11 12 15 16 9 10 11 16 17 8 9 16 15 0 17 17 0 3 18 0 1 2 3 18 3 4 19 19 4 5 6 18 19 6 7 8 17 18 7 12 13 14 15\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 8 9 12 16 17 18 8 8 18 2 7 18 0 1 2 7 2 3 19 19 3 4 5 7 19 5 6 12 9 10 11 15 0 18 17\n"
+ "16 4 11 16 17 14 15 16 11 18 17 16 9 10 11 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 19 19 4 5 6 8 19 6 7 18 11 12 13 17 18 13 14\n"
+ "16 4 11 16 13 14 15 16 18 17 13 16 9 10 18 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 19 19 4 5 6 8 19 6 7 17 18 10 11 13 17 11 12\n"
+ "16 4 11 16 17 14 15 16 18 12 17 16 9 10 18 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 19 19 4 5 6 8 19 6 7 12 18 10 11 17 12 13 14\n"
+ "16 4 11 16 12 15 17 16 10 11 12 16 8 9 10 16 17 18 8 8 18 2 7 18 0 1 2 7 2 3 19 19 3 4 5 7 19 5 6 12 13 14 15 15 0 18 17\n"
+ "16 4 11 16 17 18 15 16 11 12 17 16 9 10 11 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 19 19 4 5 6 8 19 6 7 17 12 13 18 18 13 14 15\n"
+ "16 4 11 16 12 13 17 16 10 11 12 16 8 9 10 16 17 18 8 8 18 2 7 18 0 1 2 7 2 3 19 19 3 4 5 7 19 5 6 13 0 18 17 13 14 15 0\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 8 11 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 8 18 19 7 11 8 9 10 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 9 17 13 16 18 8 9 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 8 18 19 7 17 9 10 11 13 17 11 12\n"
+ "16 4 11 16 17 14 15 16 9 12 17 16 18 8 9 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 8 18 19 7 12 9 10 11 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 8 17 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 8 18 19 7 12 17 8 9 12 9 10 11\n"
+ "16 4 11 16 13 14 15 16 17 10 13 16 18 8 17 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 8 18 19 7 10 17 8 9 13 10 11 12\n"
+ "16 4 11 16 11 14 15 16 17 10 11 16 18 8 17 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 8 18 19 7 10 17 8 9 11 12 13 14\n"
+;
+
+const char* data_dqrgl_block21 =
+ "16 4 11 16 11 12 15 16 17 10 11 16 18 8 17 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 8 18 19 7 10 17 8 9 12 13 14 15\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 8 18 19 7 17 10 11 12 17 12 13 14\n"
+ "16 4 11 16 11 17 15 16 9 10 11 16 18 8 9 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 8 18 19 7 11 12 13 17 17 13 14 15\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 8 18 19 7 17 10 13 14 10 11 12 13\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 8 18 19 7 17 10 11 14 14 11 12 13\n"
+ "16 4 11 16 17 12 15 16 9 10 17 16 18 8 9 16 15 0 18 18 0 3 19 0 1 2 3 19 3 4 7 7 4 5 6 8 18 19 7 17 10 11 12 12 13 14 15\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 18 11 12 16 17 19 18 18 19 2 7 19 0 1 2 7 2 3 6 6 3 4 5 11 18 7 8 11 8 9 10 15 0 19 17\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 18 9 12 16 17 19 18 18 19 2 7 19 0 1 2 7 2 3 6 6 3 4 5 9 18 7 8 12 9 10 11 15 0 19 17\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 19 18 11 16 15 0 19 19 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 18 19 8 9 11 18 9 10 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 19 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 18 19 8 9 12 17 18 9 12 9 10 11\n"
+ "16 4 11 16 13 14 15 16 17 10 13 16 19 18 17 16 15 0 19 19 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 18 19 8 9 10 17 18 9 13 10 11 12\n"
+ "16 4 11 16 11 14 15 16 17 10 11 16 19 18 17 16 15 0 19 19 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 18 19 8 9 10 17 18 9 11 12 13 14\n"
+ "16 4 11 16 11 12 15 16 17 10 11 16 19 18 17 16 15 0 19 19 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 18 19 8 9 10 17 18 9 12 13 14 15\n"
+ "16 4 11 16 17 14 15 16 11 18 17 16 19 10 11 16 15 0 19 19 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 10 19 8 9 18 11 12 13 17 18 13 14\n"
+ "16 4 11 16 13 14 15 16 18 17 13 16 19 10 18 16 15 0 19 19 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 10 19 8 9 17 18 10 11 13 17 11 12\n"
+ "16 4 11 16 17 14 15 16 18 12 17 16 19 10 18 16 15 0 19 19 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 10 19 8 9 12 18 10 11 17 12 13 14\n"
+ "16 4 11 16 12 15 17 16 10 11 12 16 18 9 10 16 17 19 18 18 19 2 7 19 0 1 2 7 2 3 6 6 3 4 5 9 18 7 8 12 13 14 15 15 0 19 17\n"
+ "16 4 11 16 17 18 15 16 11 12 17 16 19 10 11 16 15 0 19 19 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 10 19 8 9 17 12 13 18 18 13 14 15\n"
+ "16 4 11 16 12 13 17 16 10 11 12 16 18 9 10 16 17 19 18 18 19 2 7 19 0 1 2 7 2 3 6 6 3 4 5 9 18 7 8 13 0 19 17 13 14 15 0\n"
+ "16 4 11 16 17 15 18 16 12 13 17 16 8 9 12 16 18 19 8 8 19 2 7 19 0 1 2 7 2 3 6 6 3 4 5 12 9 10 11 17 13 14 15 15 0 19 18\n"
+ "16 4 11 16 14 15 17 16 12 13 14 16 8 9 12 16 17 18 8 8 18 2 7 18 19 1 2 7 2 3 6 6 3 4 5 12 9 10 11 15 19 18 17 15 0 1 19\n"
+ "16 4 11 16 14 17 18 16 12 13 14 16 8 9 12 16 18 19 8 8 19 2 7 19 0 1 2 7 2 3 6 6 3 4 5 12 9 10 11 17 0 19 18 14 15 0 17\n"
+ "16 4 11 16 17 14 15 16 11 18 17 16 9 10 11 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 18 11 12 19 17 18 19 14 14 19 12 13\n"
+ "16 4 11 16 17 18 15 16 11 19 17 16 9 10 11 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 19 11 12 13 17 19 13 18 18 13 14 15\n"
+ "16 4 11 16 13 14 15 16 18 17 13 16 9 10 18 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 17 18 10 19 10 11 12 19 13 17 19 12\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 9 10 19 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 18 19 10 13 10 11 12 13 17 18 13 14\n"
+ "16 4 11 16 14 15 17 16 18 13 14 16 8 9 18 16 17 19 8 8 19 2 7 19 0 1 2 7 2 3 6 6 3 4 5 13 18 9 12 9 10 11 12 15 0 19 17\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 9 10 19 16 15 0 9 9 0 3 8 0 1 2 3 8 3 4 7 7 4 5 6 18 19 10 11 18 11 12 13 17 18 13 14\n"
+ "16 4 11 16 14 15 17 16 18 13 14 16 8 9 18 16 17 19 8 8 19 2 7 19 0 1 2 7 2 3 6 6 3 4 5 13 18 9 10 13 10 11 12 15 0 19 17\n"
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+;
+
+const char* data_dqrgl_block22 =
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+;
+
+const char* data_dqrgl_block23 =
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+ "16 4 11 16 17 14 18 16 11 19 17 16 9 10 11 16 18 0 9 9 0 1 8 8 1 6 7 1 2 5 6 5 2 3 4 19 11 12 13 17 19 13 14 14 15 0 18\n"
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+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 18 0 1 19 19 1 6 7 1 2 3 6 6 3 4 5 8 18 19 7 17 10 11 14 14 11 12 13\n"
+ "16 4 11 16 17 12 13 16 9 10 17 16 18 8 9 16 13 0 18 18 0 1 19 19 1 6 7 1 2 3 6 6 3 4 5 8 18 19 7 17 10 11 12 13 14 15 0\n"
+ "16 4 11 16 17 18 19 16 13 14 17 16 9 10 13 16 19 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 13 10 11 12 17 14 15 18 18 15 0 19\n"
+ "16 4 11 16 17 14 15 16 11 18 17 16 9 10 11 16 15 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 18 11 12 19 17 18 19 14 14 19 12 13\n"
+ "16 4 11 16 17 18 15 16 11 19 17 16 9 10 11 16 15 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 19 11 12 13 17 19 13 18 18 13 14 15\n"
+ "16 4 11 16 17 14 18 16 11 19 17 16 9 10 11 16 18 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 19 11 12 13 17 19 13 14 14 15 0 18\n"
+ "16 4 11 16 17 18 19 16 11 14 17 16 9 10 11 16 19 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 14 11 12 13 17 14 15 18 18 15 0 19\n"
+ "16 4 11 16 13 14 15 16 18 17 13 16 9 10 18 16 15 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 17 18 10 19 10 11 12 19 13 17 19 12\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 9 10 19 16 15 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 18 19 10 13 10 11 12 13 17 18 13 14\n"
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+ "16 4 11 16 13 14 17 16 19 18 13 16 9 10 19 16 17 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 18 19 10 11 13 18 11 12 14 15 0 17\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 9 10 19 16 15 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 18 19 10 11 17 18 11 14 14 11 12 13\n"
+ "16 4 11 16 17 12 15 16 19 18 17 16 9 10 19 16 15 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 18 19 10 11 17 18 11 12 12 13 14 15\n"
+ "16 4 11 16 17 12 13 16 19 18 17 16 9 10 19 16 13 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 18 19 10 11 17 18 11 12 13 14 15 0\n"
+ "16 4 11 16 13 17 18 16 19 12 13 16 9 10 19 16 18 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 12 19 10 11 13 14 15 17 17 15 0 18\n"
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+ "16 4 11 16 17 18 19 16 11 12 17 16 9 10 11 16 19 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 17 12 13 14 17 14 15 18 18 15 0 19\n"
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+ "16 4 11 16 17 18 19 16 11 12 17 16 9 10 11 16 19 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 17 12 15 18 12 13 14 15 18 15 0 19\n"
+ "16 4 11 16 17 18 19 16 11 12 17 16 9 10 11 16 19 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 17 12 13 18 18 13 14 15 18 15 0 19\n"
+ "16 4 11 16 17 18 19 16 11 12 17 16 9 10 11 16 19 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5 17 12 13 18 18 13 14 19 19 14 15 0\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 9 10 17 16 15 0 9 9 0 1 8 8 1 4 18 1 2 3 4 18 4 5 19 19 5 6 7 8 18 19 7 12 17 10 11\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 9 10 11 16 15 0 9 9 0 1 8 8 1 4 18 1 2 3 4 18 4 5 19 19 5 6 7 8 18 19 7 17 12 13 14\n"
+ "16 4 11 16 13 14 17 16 11 12 13 16 9 10 11 16 17 0 9 9 0 1 8 8 1 4 18 1 2 3 4 18 4 5 19 19 5 6 7 8 18 19 7 14 15 0 17\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 11 12 19 16 15 0 11 11 0 1 10 10 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 18 19 12 13 17 18 13 14\n"
+ "16 4 11 16 17 18 19 16 13 14 17 16 11 12 13 16 19 0 11 11 0 1 10 10 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 17 14 15 18 18 15 0 19\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 11 12 19 16 15 0 11 11 0 1 10 10 1 4 9 1 2 3 4 9 4 5 6 9 6 7 8 18 19 12 13 17 18 13 14\n"
+ "16 4 11 16 17 18 19 16 13 14 17 16 11 12 13 16 19 0 11 11 0 1 10 10 1 4 9 1 2 3 4 9 4 5 6 9 6 7 8 17 14 15 18 18 15 0 19\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 11 12 19 16 15 0 11 11 0 1 10 10 1 4 7 1 2 3 4 7 4 5 6 10 7 8 9 18 19 12 13 17 18 13 14\n"
+ "16 4 11 16 17 18 19 16 13 14 17 16 11 12 13 16 19 0 11 11 0 1 10 10 1 4 7 1 2 3 4 7 4 5 6 10 7 8 9 17 14 15 18 18 15 0 19\n"
+ "16 4 11 16 17 14 15 16 11 18 17 16 9 10 11 16 15 0 9 9 0 1 8 8 1 4 19 1 2 3 4 19 4 5 6 8 19 6 7 18 11 12 13 17 18 13 14\n"
+ "16 4 11 16 13 14 15 16 18 17 13 16 9 10 18 16 15 0 9 9 0 1 8 8 1 4 19 1 2 3 4 19 4 5 6 8 19 6 7 17 18 10 11 13 17 11 12\n"
+ "16 4 11 16 17 14 15 16 18 12 17 16 9 10 18 16 15 0 9 9 0 1 8 8 1 4 19 1 2 3 4 19 4 5 6 8 19 6 7 12 18 10 11 17 12 13 14\n"
+ "16 4 11 16 13 14 17 16 18 12 13 16 9 10 18 16 17 0 9 9 0 1 8 8 1 4 19 1 2 3 4 19 4 5 6 8 19 6 7 12 18 10 11 14 15 0 17\n"
+ "16 4 11 16 13 17 18 16 11 12 13 16 9 10 11 16 18 0 9 9 0 1 8 8 1 4 19 1 2 3 4 19 4 5 6 8 19 6 7 13 14 15 17 17 15 0 18\n"
+ "16 4 11 16 17 18 15 16 11 12 17 16 9 10 11 16 15 0 9 9 0 1 8 8 1 4 19 1 2 3 4 19 4 5 6 8 19 6 7 17 12 13 18 18 13 14 15\n"
+ "16 4 11 16 17 14 18 16 11 12 17 16 9 10 11 16 18 0 9 9 0 1 8 8 1 4 19 1 2 3 4 19 4 5 6 8 19 6 7 17 12 13 14 14 15 0 18\n"
+;
+
+const char* data_dqrgl_block24 =
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 8 11 16 15 0 18 18 0 1 19 19 1 4 7 1 2 3 4 7 4 5 6 8 18 19 7 11 8 9 10 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 18 0 1 19 19 1 4 7 1 2 3 4 7 4 5 6 8 18 19 7 17 10 11 12 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 18 0 1 19 19 1 4 7 1 2 3 4 7 4 5 6 8 18 19 7 17 10 13 14 10 11 12 13\n"
+ "16 4 11 16 17 18 19 16 13 14 17 16 9 10 13 16 19 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 13 10 11 12 17 14 15 18 18 15 0 19\n"
+ "16 4 11 16 17 14 15 16 11 18 17 16 9 10 11 16 15 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 18 11 12 19 17 18 19 14 14 19 12 13\n"
+ "16 4 11 16 17 18 15 16 11 19 17 16 9 10 11 16 15 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 19 11 12 13 17 19 13 18 18 13 14 15\n"
+ "16 4 11 16 17 14 18 16 11 19 17 16 9 10 11 16 18 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 19 11 12 13 17 19 13 14 14 15 0 18\n"
+ "16 4 11 16 17 18 19 16 11 14 17 16 9 10 11 16 19 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 14 11 12 13 17 14 15 18 18 15 0 19\n"
+ "16 4 11 16 13 14 15 16 18 17 13 16 9 10 18 16 15 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 17 18 10 19 10 11 12 19 13 17 19 12\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 9 10 19 16 15 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 18 19 10 13 10 11 12 13 17 18 13 14\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 9 10 19 16 15 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 18 19 10 11 18 11 12 13 17 18 13 14\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 9 10 19 16 15 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 18 19 10 11 17 18 11 12 17 12 13 14\n"
+ "16 4 11 16 13 14 17 16 19 18 13 16 9 10 19 16 17 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 18 19 10 11 13 18 11 12 14 15 0 17\n"
+ "16 4 11 16 17 14 15 16 19 18 17 16 9 10 19 16 15 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 18 19 10 11 17 18 11 14 14 11 12 13\n"
+ "16 4 11 16 17 12 15 16 19 18 17 16 9 10 19 16 15 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 18 19 10 11 17 18 11 12 12 13 14 15\n"
+ "16 4 11 16 17 12 13 16 19 18 17 16 9 10 19 16 13 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 18 19 10 11 17 18 11 12 13 14 15 0\n"
+ "16 4 11 16 13 17 18 16 19 12 13 16 9 10 19 16 18 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 12 19 10 11 13 14 15 17 17 15 0 18\n"
+ "16 4 11 16 17 18 15 16 19 12 17 16 9 10 19 16 15 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 12 19 10 11 17 12 13 18 18 13 14 15\n"
+ "16 4 11 16 17 14 18 16 19 12 17 16 9 10 19 16 18 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6 12 19 10 11 17 12 13 14 14 15 0 18\n"
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+ "16 4 11 16 17 14 18 16 19 12 17 16 9 10 19 16 18 0 9 9 0 1 8 8 1 2 7 7 2 3 4 7 4 5 6 12 19 10 11 17 12 13 14 14 15 0 18\n"
+;
+
+const char* data_dqrgl_block25 =
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+ "16 4 11 16 14 15 17 16 18 13 14 16 10 11 18 16 17 19 10 10 19 0 9 9 0 1 4 4 1 2 3 9 4 5 8 8 5 6 7 13 18 11 12 15 0 19 17\n"
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+ "16 4 11 16 17 12 15 16 19 18 17 16 5 6 19 16 15 0 5 5 0 1 4 4 1 2 3 18 19 6 7 18 7 10 11 7 8 9 10 17 18 11 12 12 13 14 15\n"
+ "16 4 11 16 17 12 13 16 19 18 17 16 5 6 19 16 13 0 5 5 0 1 4 4 1 2 3 18 19 6 7 18 7 10 11 7 8 9 10 17 18 11 12 13 14 15 0\n"
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+ "16 4 11 16 17 14 15 16 19 18 17 16 5 6 19 16 15 0 5 5 0 1 4 4 1 2 3 18 19 6 7 18 7 8 13 13 8 9 12 12 9 10 11 17 18 13 14\n"
+ "16 4 11 16 14 15 17 16 18 13 14 16 4 5 18 16 17 19 4 4 19 0 3 3 0 1 2 13 18 5 6 13 6 7 12 12 7 8 11 11 8 9 10 15 0 19 17\n"
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+ "16 4 11 16 9 10 17 16 7 8 9 16 3 4 7 16 17 0 3 3 0 1 2 7 4 5 6 10 15 0 17 10 11 18 15 18 11 12 19 19 12 13 14 15 18 19 14\n"
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+ "16 4 11 16 14 15 17 16 12 13 14 16 8 9 12 16 17 18 8 8 18 19 7 12 9 10 11 15 19 18 17 15 0 7 19 7 0 5 6 0 1 2 5 5 2 3 4\n"
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+ "16 4 11 16 14 15 17 16 12 13 14 16 8 9 12 16 17 18 8 8 18 19 7 12 9 10 11 15 19 18 17 15 0 7 19 7 0 1 6 6 1 2 5 5 2 3 4\n"
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+ "16 4 11 16 8 9 17 16 6 7 8 16 2 3 6 16 17 18 2 2 18 0 1 6 3 4 5 9 0 18 17 9 10 15 0 15 10 19 14 10 11 12 19 14 19 12 13\n"
+;
+
+const char* data_dqrgl_block26 =
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+ "16 4 11 16 14 15 17 16 8 11 14 16 6 7 8 16 17 18 6 6 18 19 5 11 8 9 10 14 11 12 13 15 19 18 17 15 0 5 19 5 0 3 4 0 1 2 3\n"
+ "16 4 11 16 14 15 17 16 8 11 14 16 6 7 8 16 17 18 6 6 18 19 5 11 8 9 10 14 11 12 13 15 19 18 17 15 0 5 19 5 0 1 4 4 1 2 3\n"
+ "16 4 11 16 17 14 15 16 5 18 17 16 3 4 5 16 15 0 3 3 0 1 2 18 5 6 7 17 18 7 14 14 7 8 13 13 8 19 12 8 9 10 19 12 19 10 11\n"
+ "16 4 11 16 17 14 15 16 5 18 17 16 3 4 5 16 15 0 3 3 0 1 2 18 5 6 7 17 18 7 14 14 7 8 13 13 8 9 19 19 9 10 11 13 19 11 12\n"
+ "16 4 11 16 17 14 15 16 5 18 17 16 3 4 5 16 15 0 3 3 0 1 2 18 5 6 19 17 18 19 14 14 19 6 13 6 7 12 13 12 7 10 11 7 8 9 10\n"
+ "16 4 11 16 17 14 15 16 5 18 17 16 3 4 5 16 15 0 3 3 0 1 2 18 5 6 19 17 18 19 14 14 19 6 13 6 7 12 13 12 7 8 11 11 8 9 10\n"
+ "16 4 11 16 17 14 15 16 5 18 17 16 3 4 5 16 15 0 3 3 0 1 2 18 5 6 19 17 18 19 14 14 19 6 13 6 7 12 13 12 7 8 9 12 9 10 11\n"
+ "16 4 11 16 17 14 15 16 5 18 17 16 3 4 5 16 15 0 3 3 0 1 2 18 5 6 19 17 18 19 14 14 19 6 13 6 7 10 13 10 7 8 9 13 10 11 12\n"
+ "16 4 11 16 17 14 15 16 5 18 17 16 3 4 5 16 15 0 3 3 0 1 2 18 5 6 19 17 18 19 14 14 19 6 13 6 7 8 13 13 8 11 12 8 9 10 11\n"
+ "16 4 11 16 17 14 15 16 5 18 17 16 3 4 5 16 15 0 3 3 0 1 2 18 5 6 19 17 18 19 14 14 19 6 13 6 7 8 13 13 8 9 12 12 9 10 11\n"
+ "16 4 11 16 17 14 15 16 5 8 17 16 3 4 5 16 15 0 3 3 0 1 2 8 5 6 7 17 8 9 14 14 9 18 13 9 10 19 18 19 10 11 12 13 18 19 12\n"
+ "16 4 11 16 17 18 19 16 5 8 17 16 3 4 5 16 19 0 3 3 0 1 2 8 5 6 7 17 8 9 18 18 9 12 15 9 10 11 12 15 12 13 14 18 15 0 19\n"
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+ "16 4 11 16 13 14 15 16 18 17 13 16 3 4 18 16 15 0 3 3 0 1 2 17 18 4 19 4 5 12 19 12 5 6 11 11 6 9 10 6 7 8 9 13 17 19 12\n"
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+ "16 4 11 16 14 15 17 16 18 13 14 16 2 3 18 16 17 19 2 2 19 0 1 13 18 3 12 3 4 11 12 11 4 5 10 10 5 8 9 5 6 7 8 15 0 19 17\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 3 4 17 16 15 0 3 3 0 1 2 12 17 4 11 4 5 10 11 10 5 6 18 18 6 7 19 19 7 8 9 10 18 19 9\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 3 4 17 16 15 0 3 3 0 1 2 12 17 4 11 4 5 18 11 18 5 6 19 19 6 7 10 10 7 8 9 11 18 19 10\n"
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+ "16 4 11 16 17 14 15 16 19 18 17 16 3 4 19 16 15 0 3 3 0 1 2 18 19 4 13 4 5 12 13 12 5 6 11 11 6 7 10 10 7 8 9 17 18 13 14\n"
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+ "16 4 11 16 13 14 15 16 17 12 13 16 3 4 17 16 15 0 3 3 0 1 2 12 17 4 11 4 5 18 11 18 5 6 19 19 6 7 8 19 8 9 10 11 18 19 10\n"
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+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 4 5 1 2 3 4 10 5 6 9 9 6 7 8 12 17 18 11\n"
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+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 10 18 0 9 0 1 19 9 19 1 4 5 1 2 3 4 9 19 5 8 5 6 7 8 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 8 17 16 15 0 18 8 18 0 7 0 1 19 7 19 1 4 5 1 2 3 4 7 19 5 6 12 17 8 9 12 9 10 11\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 8 18 0 7 0 1 19 7 19 1 4 5 1 2 3 4 7 19 5 6 17 10 13 14 10 11 12 13\n"
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+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 10 17 0 9 0 1 8 9 8 1 2 18 18 2 3 19 19 3 6 7 3 4 5 6 8 18 19 7\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 10 17 0 9 0 1 18 9 18 1 2 19 19 2 3 8 8 3 6 7 3 4 5 6 9 18 19 8\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 9 9 2 3 8 8 3 6 7 3 4 5 6 12 17 18 11\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 10 17 0 9 0 1 8 9 8 1 2 7 7 2 3 18 18 3 4 19 19 4 5 6 7 18 19 6\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 10 17 0 9 0 1 8 9 8 1 2 18 18 2 3 19 19 3 4 7 7 4 5 6 8 18 19 7\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 10 17 0 9 0 1 18 9 18 1 2 19 19 2 3 8 8 3 4 7 7 4 5 6 9 18 19 8\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 9 9 2 3 8 8 3 4 7 7 4 5 6 12 17 18 11\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 10 17 0 9 0 1 8 9 8 1 2 18 18 2 3 19 19 3 4 5 19 5 6 7 8 18 19 7\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 9 9 2 3 8 8 3 4 5 8 5 6 7 12 17 18 11\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 9 9 2 3 6 6 3 4 5 9 6 7 8 12 17 18 11\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 10 17 0 18 0 1 8 18 8 1 2 7 7 2 3 19 19 3 4 5 7 19 5 6 10 18 8 9\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 10 17 16 15 0 18 10 18 0 9 0 1 8 9 8 1 2 7 7 2 3 19 19 3 4 5 7 19 5 6 12 17 10 11\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 10 18 0 9 0 1 8 9 8 1 2 7 7 2 3 19 19 3 4 5 7 19 5 6 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 10 17 0 7 0 1 6 7 6 1 2 18 18 2 3 19 19 3 4 5 6 18 19 5 10 7 8 9\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 7 7 2 3 6 6 3 4 5 10 7 8 9 12 17 18 11\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 10 17 16 15 0 18 10 18 0 9 0 1 8 9 8 1 2 19 19 2 3 6 6 3 4 5 8 19 6 7 12 17 10 11\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 10 18 0 9 0 1 8 9 8 1 2 19 19 2 3 6 6 3 4 5 8 19 6 7 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 10 17 16 15 0 18 10 18 0 9 0 1 19 9 19 1 2 7 7 2 3 6 6 3 4 5 9 19 7 8 12 17 10 11\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 10 18 0 9 0 1 19 9 19 1 2 7 7 2 3 6 6 3 4 5 9 19 7 8 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 10 18 0 19 0 1 8 19 8 1 2 7 7 2 3 6 6 3 4 5 10 19 8 9 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 18 12 17 16 19 10 18 16 15 0 19 10 19 0 9 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 12 18 10 11 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 9 9 2 3 4 9 4 7 8 4 5 6 7 12 17 18 11\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 9 9 2 3 4 9 4 5 8 8 5 6 7 12 17 18 11\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 10 18 0 19 0 1 8 19 8 1 2 7 7 2 3 4 7 4 5 6 10 19 8 9 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 18 12 17 16 19 10 18 16 15 0 19 10 19 0 9 0 1 8 9 8 1 2 7 7 2 3 4 7 4 5 6 12 18 10 11 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 5 5 2 3 4 10 5 6 9 9 6 7 8 12 17 18 11\n"
+ "16 4 11 16 17 14 15 16 18 12 17 16 19 10 18 16 15 0 19 10 19 0 9 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7 12 18 10 11 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 10 17 16 15 0 18 10 18 0 9 0 1 8 9 8 1 2 19 19 2 3 4 8 19 4 7 4 5 6 7 12 17 10 11\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 10 18 0 9 0 1 8 9 8 1 2 19 19 2 3 4 8 19 4 7 4 5 6 7 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 10 18 0 7 0 1 6 7 6 1 2 19 19 2 3 4 6 19 4 5 10 7 8 9 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 8 17 16 15 0 18 8 18 0 7 0 1 6 7 6 1 2 19 19 2 3 4 6 19 4 5 12 17 8 9 12 9 10 11\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 8 18 0 7 0 1 6 7 6 1 2 19 19 2 3 4 6 19 4 5 17 10 13 14 10 11 12 13\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 8 18 0 7 0 1 6 7 6 1 2 19 19 2 3 4 6 19 4 5 17 10 11 14 14 11 12 13\n"
+ "16 4 11 16 17 14 15 16 18 12 17 16 19 10 18 16 15 0 19 10 19 0 9 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 12 18 10 11 17 12 13 14\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 8 17 16 15 0 18 8 18 0 7 0 1 19 7 19 1 2 5 5 2 3 4 7 19 5 6 12 17 8 9 12 9 10 11\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 8 18 0 7 0 1 19 7 19 1 2 5 5 2 3 4 7 19 5 6 17 10 13 14 10 11 12 13\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 8 18 0 7 0 1 19 7 19 1 2 5 5 2 3 4 7 19 5 6 17 10 11 14 14 11 12 13\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 8 18 0 19 0 1 6 19 6 1 2 5 5 2 3 4 8 19 6 7 17 10 13 14 10 11 12 13\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 8 18 0 19 0 1 6 19 6 1 2 5 5 2 3 4 8 19 6 7 17 10 11 14 14 11 12 13\n"
+ "16 4 11 16 17 14 15 16 18 10 17 16 19 8 18 16 15 0 19 8 19 0 7 0 1 6 7 6 1 2 5 5 2 3 4 10 18 8 9 17 10 11 14 14 11 12 13\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 8 18 0 7 0 1 6 7 6 1 2 5 5 2 3 4 17 10 19 14 10 11 12 19 14 19 12 13\n"
+ "16 4 11 16 13 14 15 16 11 12 13 16 17 10 11 16 15 0 17 10 17 0 9 0 1 8 9 8 1 2 3 8 3 18 7 3 4 19 18 19 4 5 6 7 18 19 6\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 3 10 3 8 9 3 4 7 8 7 4 5 6 12 17 18 11\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 3 10 3 8 9 3 4 5 8 8 5 6 7 12 17 18 11\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 3 10 3 6 9 3 4 5 6 9 6 7 8 12 17 18 11\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 18 10 17 16 15 0 18 10 18 0 9 0 1 8 9 8 1 2 3 8 3 19 7 3 4 5 19 7 19 5 6 12 17 10 11\n"
+ "16 4 11 16 17 14 15 16 11 12 17 16 18 10 11 16 15 0 18 10 18 0 9 0 1 8 9 8 1 2 3 8 3 19 7 3 4 5 19 7 19 5 6 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 18 12 17 16 19 10 18 16 15 0 19 10 19 0 9 0 1 8 9 8 1 2 3 8 3 6 7 3 4 5 6 12 18 10 11 17 12 13 14\n"
+;
+
+const char* data_dqrgl_block27 =
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 3 10 3 4 9 9 4 7 8 4 5 6 7 12 17 18 11\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 3 10 3 4 9 9 4 5 8 8 5 6 7 12 17 18 11\n"
+ "16 4 11 16 13 14 15 16 17 12 13 16 19 18 17 16 15 0 19 18 19 0 11 0 1 10 11 10 1 2 3 10 3 4 9 9 4 5 6 9 6 7 8 12 17 18 11\n"
+ "16 4 11 16 17 14 15 16 18 12 17 16 19 10 18 16 15 0 19 10 19 0 9 0 1 8 9 8 1 2 3 8 3 4 7 7 4 5 6 12 18 10 11 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 18 10 17 16 19 8 18 16 15 0 19 8 19 0 7 0 1 6 7 6 1 2 3 6 3 4 5 10 18 8 9 17 10 11 14 14 11 12 13\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 8 18 0 7 0 1 6 7 6 1 2 3 6 3 4 5 17 10 19 14 10 11 12 19 14 19 12 13\n"
+ "16 4 11 16 17 14 15 16 18 12 17 16 19 10 18 16 15 0 19 10 19 0 9 0 1 4 9 4 1 2 3 9 4 5 8 8 5 6 7 12 18 10 11 17 12 13 14\n"
+ "16 4 11 16 17 14 15 16 18 10 17 16 19 8 18 16 15 0 19 8 19 0 7 0 1 4 7 4 1 2 3 7 4 5 6 10 18 8 9 17 10 11 14 14 11 12 13\n"
+ "16 4 11 16 17 14 15 16 9 10 17 16 18 8 9 16 15 0 18 8 18 0 7 0 1 4 7 4 1 2 3 7 4 5 6 17 10 19 14 10 11 12 19 14 19 12 13\n"
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+ "18 1 9 18 13 16 17 18 9 12 13 18 7 8 9 18 5 6 7 18 17 0 5 5 0 3 4 0 1 2 3 12 9 10 11 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 9 12 13 18 7 8 9 18 5 6 7 18 17 0 5 5 0 3 4 0 1 2 3 12 9 10 11 14 15 16 17\n"
+ "18 1 9 18 15 16 17 18 9 10 15 18 7 8 9 18 5 6 7 18 17 0 5 5 0 3 4 0 1 2 3 15 10 11 14 14 11 12 13\n"
+ "18 1 9 18 13 14 17 18 9 10 13 18 7 8 9 18 5 6 7 18 17 0 5 5 0 3 4 0 1 2 3 13 10 11 12 14 15 16 17\n"
+ "18 1 9 18 11 16 17 18 9 10 11 18 7 8 9 18 5 6 7 18 17 0 5 5 0 3 4 0 1 2 3 11 12 15 16 15 12 13 14\n"
+ "18 1 9 18 11 16 17 18 9 10 11 18 7 8 9 18 5 6 7 18 17 0 5 5 0 3 4 0 1 2 3 11 12 13 16 16 13 14 15\n"
+ "18 1 9 18 11 14 17 18 9 10 11 18 7 8 9 18 5 6 7 18 17 0 5 5 0 3 4 0 1 2 3 11 12 13 14 14 15 16 17\n"
+ "18 1 9 18 11 12 17 18 9 10 11 18 7 8 9 18 5 6 7 18 17 0 5 5 0 3 4 0 1 2 3 12 13 16 17 16 13 14 15\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 9 10 11 18 17 0 9 9 0 1 8 8 1 6 7 1 2 5 6 5 2 3 4\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 9 10 11 18 17 0 9 9 0 1 8 8 1 6 7 1 2 3 6 6 3 4 5\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 9 10 11 18 17 0 9 9 0 1 8 8 1 4 7 1 2 3 4 7 4 5 6\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 9 10 11 18 17 0 9 9 0 1 8 8 1 4 5 1 2 3 4 8 5 6 7\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 7 8 11 18 17 0 7 7 0 1 6 6 1 4 5 1 2 3 4 11 8 9 10\n"
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+ "18 1 9 18 15 16 17 18 13 14 15 18 9 10 13 18 7 8 9 18 17 0 7 7 0 1 6 6 1 4 5 1 2 3 4 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 11 14 15 18 9 10 11 18 7 8 9 18 17 0 7 7 0 1 6 6 1 4 5 1 2 3 4 14 11 12 13\n"
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+ "18 1 9 18 13 16 17 18 11 12 13 18 9 10 11 18 7 8 9 18 17 0 7 7 0 1 6 6 1 4 5 1 2 3 4 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 9 10 11 18 7 8 9 18 17 0 7 7 0 1 6 6 1 4 5 1 2 3 4 14 15 16 17\n"
+ "18 1 9 18 13 14 15 18 11 12 13 18 9 10 11 18 7 8 9 18 15 0 7 7 0 1 6 6 1 4 5 1 2 3 4 15 16 17 0\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 9 10 11 18 17 0 9 9 0 1 8 8 1 2 7 7 2 5 6 2 3 4 5\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 9 10 11 18 17 0 9 9 0 1 8 8 1 2 7 7 2 3 6 6 3 4 5\n"
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+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 9 10 11 18 17 0 9 9 0 1 8 8 1 2 5 5 2 3 4 8 5 6 7\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 7 8 11 18 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 11 8 9 10\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 9 12 13 18 7 8 9 18 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 12 9 10 11\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 9 10 13 18 7 8 9 18 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 11 14 15 18 9 10 11 18 7 8 9 18 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 9 10 11 18 7 8 9 18 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 9 10 11 18 7 8 9 18 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 9 10 11 18 7 8 9 18 17 0 7 7 0 1 6 6 1 2 5 5 2 3 4 14 15 16 17\n"
+ "18 1 9 18 13 14 15 18 11 12 13 18 9 10 11 18 7 8 9 18 15 0 7 7 0 1 6 6 1 2 5 5 2 3 4 15 16 17 0\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 9 10 11 18 17 0 9 9 0 1 8 8 1 2 3 8 3 6 7 3 4 5 6\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 9 10 11 18 17 0 9 9 0 1 8 8 1 2 3 8 3 4 7 7 4 5 6\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 7 8 11 18 17 0 7 7 0 1 6 6 1 2 3 6 3 4 5 11 8 9 10\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 9 12 13 18 7 8 9 18 17 0 7 7 0 1 6 6 1 2 3 6 3 4 5 12 9 10 11\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 9 10 13 18 7 8 9 18 17 0 7 7 0 1 6 6 1 2 3 6 3 4 5 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 11 14 15 18 9 10 11 18 7 8 9 18 17 0 7 7 0 1 6 6 1 2 3 6 3 4 5 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 9 10 11 18 7 8 9 18 17 0 7 7 0 1 6 6 1 2 3 6 3 4 5 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 9 10 11 18 7 8 9 18 17 0 7 7 0 1 6 6 1 2 3 6 3 4 5 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 9 10 11 18 7 8 9 18 17 0 7 7 0 1 6 6 1 2 3 6 3 4 5 14 15 16 17\n"
+ "18 1 9 18 13 14 15 18 11 12 13 18 9 10 11 18 7 8 9 18 15 0 7 7 0 1 6 6 1 2 3 6 3 4 5 15 16 17 0\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 5 6 11 18 17 0 5 5 0 1 4 4 1 2 3 11 6 7 10 10 7 8 9\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 9 10 13 18 5 6 9 18 17 0 5 5 0 1 4 4 1 2 3 9 6 7 8 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 11 14 15 18 9 10 11 18 5 6 9 18 17 0 5 5 0 1 4 4 1 2 3 9 6 7 8 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 9 10 11 18 5 6 9 18 17 0 5 5 0 1 4 4 1 2 3 9 6 7 8 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 9 10 11 18 5 6 9 18 17 0 5 5 0 1 4 4 1 2 3 9 6 7 8 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 9 10 11 18 5 6 9 18 17 0 5 5 0 1 4 4 1 2 3 9 6 7 8 14 15 16 17\n"
+ "18 1 9 18 13 14 15 18 11 12 13 18 9 10 11 18 5 6 9 18 15 0 5 5 0 1 4 4 1 2 3 9 6 7 8 15 16 17 0\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 7 12 13 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 12 7 8 11 11 8 9 10\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 7 10 13 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 10 7 8 9 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 11 14 15 18 7 10 11 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 10 7 8 9 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 7 10 11 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 10 7 8 9 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 7 10 11 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 10 7 8 9 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 7 10 11 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 10 7 8 9 14 15 16 17\n"
+ "18 1 9 18 13 14 15 18 11 12 13 18 7 10 11 18 5 6 7 18 15 0 5 5 0 1 4 4 1 2 3 10 7 8 9 15 16 17 0\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 7 8 13 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 13 8 9 12 12 9 10 11\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 7 8 11 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 11 8 9 10 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 7 8 11 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 11 8 9 10 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 7 8 11 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 11 8 9 10 14 15 16 17\n"
+ "18 1 9 18 13 14 15 18 11 12 13 18 7 8 11 18 5 6 7 18 15 0 5 5 0 1 4 4 1 2 3 11 8 9 10 15 16 17 0\n"
+ "18 1 9 18 15 16 17 18 9 14 15 18 7 8 9 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 14 9 10 13 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 9 12 15 18 7 8 9 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 12 9 10 11 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 9 12 13 18 7 8 9 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 12 9 10 11 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 9 12 13 18 7 8 9 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 12 9 10 11 14 15 16 17\n"
+ "18 1 9 18 13 14 15 18 9 12 13 18 7 8 9 18 5 6 7 18 15 0 5 5 0 1 4 4 1 2 3 12 9 10 11 15 16 17 0\n"
+ "18 1 9 18 13 14 17 18 9 10 13 18 7 8 9 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 13 10 11 12 14 15 16 17\n"
+ "18 1 9 18 13 14 15 18 9 10 13 18 7 8 9 18 5 6 7 18 15 0 5 5 0 1 4 4 1 2 3 13 10 11 12 15 16 17 0\n"
+ "18 1 9 18 11 16 17 18 9 10 11 18 7 8 9 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 11 12 15 16 15 12 13 14\n"
+ "18 1 9 18 11 14 17 18 9 10 11 18 7 8 9 18 5 6 7 18 17 0 5 5 0 1 4 4 1 2 3 11 12 13 14 14 15 16 17\n"
+ "18 1 9 18 11 14 15 18 9 10 11 18 7 8 9 18 5 6 7 18 15 0 5 5 0 1 4 4 1 2 3 11 12 13 14 15 16 17 0\n"
+ "18 1 9 18 11 12 13 18 9 10 11 18 7 8 9 18 5 6 7 18 13 0 5 5 0 1 4 4 1 2 3 13 14 17 0 17 14 15 16\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 7 8 11 18 3 4 7 18 17 0 3 3 0 1 2 7 4 5 6 11 8 9 10 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 7 8 11 18 3 4 7 18 17 0 3 3 0 1 2 7 4 5 6 11 8 9 10 13 14 15 16\n"
+ "18 1 9 18 13 14 15 18 11 12 13 18 7 8 11 18 3 4 7 18 15 0 3 3 0 1 2 7 4 5 6 11 8 9 10 15 16 17 0\n"
+ "18 1 9 18 15 16 17 18 9 12 15 18 7 8 9 18 3 4 7 18 17 0 3 3 0 1 2 7 4 5 6 12 9 10 11 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 9 12 13 18 7 8 9 18 3 4 7 18 17 0 3 3 0 1 2 7 4 5 6 12 9 10 11 13 14 15 16\n"
+ "18 1 9 18 13 14 15 18 9 12 13 18 7 8 9 18 3 4 7 18 15 0 3 3 0 1 2 7 4 5 6 12 9 10 11 15 16 17 0\n"
+ "18 1 9 18 13 14 15 18 9 10 13 18 7 8 9 18 3 4 7 18 15 0 3 3 0 1 2 7 4 5 6 13 10 11 12 15 16 17 0\n"
+ "18 1 9 18 11 14 15 18 9 10 11 18 7 8 9 18 3 4 7 18 15 0 3 3 0 1 2 7 4 5 6 11 12 13 14 15 16 17 0\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 5 8 11 18 3 4 5 18 17 0 3 3 0 1 2 8 5 6 7 11 8 9 10 13 14 15 16\n"
+ "18 1 9 18 13 14 15 18 11 12 13 18 5 8 11 18 3 4 5 18 15 0 3 3 0 1 2 8 5 6 7 11 8 9 10 15 16 17 0\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 8 9 8 1 6 7 1 2 3 6 6 3 4 5\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 8 9 8 1 4 7 1 2 3 4 7 4 5 6\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 8 9 8 1 4 5 1 2 3 4 8 5 6 7\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 6 9 6 1 4 5 1 2 3 4 9 6 7 8\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 7 10 0 1 6 7 6 1 4 5 1 2 3 4 10 7 8 9\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 9 10 13 18 17 0 9 9 0 7 8 0 1 6 7 6 1 4 5 1 2 3 4 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 11 14 15 18 9 10 11 18 17 0 9 9 0 7 8 0 1 6 7 6 1 4 5 1 2 3 4 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 9 10 11 18 17 0 9 9 0 7 8 0 1 6 7 6 1 4 5 1 2 3 4 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 7 8 0 1 6 7 6 1 4 5 1 2 3 4 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 7 8 0 1 6 7 6 1 4 5 1 2 3 4 14 15 16 17\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 8 9 8 1 2 7 7 2 5 6 2 3 4 5\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 8 9 8 1 2 7 7 2 3 4 7 4 5 6\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 7 10 0 1 6 7 6 1 2 5 5 2 3 4 10 7 8 9\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 9 10 13 18 17 0 9 9 0 7 8 0 1 6 7 6 1 2 5 5 2 3 4 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 11 14 15 18 9 10 11 18 17 0 9 9 0 7 8 0 1 6 7 6 1 2 5 5 2 3 4 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 9 10 11 18 17 0 9 9 0 7 8 0 1 6 7 6 1 2 5 5 2 3 4 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 7 8 0 1 6 7 6 1 2 5 5 2 3 4 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 7 8 0 1 6 7 6 1 2 5 5 2 3 4 14 15 16 17\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 8 9 8 1 2 3 8 3 6 7 3 4 5 6\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 8 9 8 1 2 3 8 3 4 7 7 4 5 6\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 7 10 0 1 6 7 6 1 2 3 6 3 4 5 10 7 8 9\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 9 10 13 18 17 0 9 9 0 7 8 0 1 6 7 6 1 2 3 6 3 4 5 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 11 14 15 18 9 10 11 18 17 0 9 9 0 7 8 0 1 6 7 6 1 2 3 6 3 4 5 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 9 10 11 18 17 0 9 9 0 7 8 0 1 6 7 6 1 2 3 6 3 4 5 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 7 8 0 1 6 7 6 1 2 3 6 3 4 5 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 7 8 0 1 6 7 6 1 2 3 6 3 4 5 14 15 16 17\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 4 9 4 1 2 3 9 4 5 8 8 5 6 7\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 9 10 13 18 17 0 9 9 0 7 8 0 1 4 7 4 1 2 3 7 4 5 6 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 11 14 15 18 9 10 11 18 17 0 9 9 0 7 8 0 1 4 7 4 1 2 3 7 4 5 6 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 9 10 11 18 17 0 9 9 0 7 8 0 1 4 7 4 1 2 3 7 4 5 6 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 7 8 0 1 4 7 4 1 2 3 7 4 5 6 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 7 8 0 1 4 7 4 1 2 3 7 4 5 6 14 15 16 17\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 5 10 0 1 4 5 4 1 2 3 10 5 6 9 9 6 7 8\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 5 10 0 1 4 5 4 1 2 3 10 5 6 7 10 7 8 9\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 9 10 13 18 17 0 9 9 0 5 8 0 1 4 5 4 1 2 3 8 5 6 7 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 11 14 15 18 9 10 11 18 17 0 9 9 0 5 8 0 1 4 5 4 1 2 3 8 5 6 7 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 9 10 11 18 17 0 9 9 0 5 8 0 1 4 5 4 1 2 3 8 5 6 7 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 5 8 0 1 4 5 4 1 2 3 8 5 6 7 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 5 8 0 1 4 5 4 1 2 3 8 5 6 7 14 15 16 17\n"
+;
+
+const char* data_dqrgl_block28 =
+ "18 1 9 18 15 16 17 18 13 14 15 18 7 8 13 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 13 8 11 12 8 9 10 11\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 7 8 13 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 13 8 9 12 12 9 10 11\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 7 8 11 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 11 8 9 10 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 7 8 11 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 11 8 9 10 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 7 8 11 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 11 8 9 10 14 15 16 17\n"
+ "18 1 9 18 15 16 17 18 9 14 15 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 14 9 10 13 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 9 14 15 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 14 9 10 11 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 9 12 15 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 12 9 10 11 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 9 12 13 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 12 9 10 11 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 9 12 13 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 12 9 10 11 14 15 16 17\n"
+ "18 1 9 18 15 16 17 18 9 10 15 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 15 10 13 14 10 11 12 13\n"
+ "18 1 9 18 15 16 17 18 9 10 15 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 15 10 11 14 14 11 12 13\n"
+ "18 1 9 18 13 14 17 18 9 10 13 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 13 10 11 12 14 15 16 17\n"
+ "18 1 9 18 11 16 17 18 9 10 11 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 11 12 15 16 15 12 13 14\n"
+ "18 1 9 18 11 16 17 18 9 10 11 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 11 12 13 16 16 13 14 15\n"
+ "18 1 9 18 11 14 17 18 9 10 11 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 11 12 13 14 14 15 16 17\n"
+ "18 1 9 18 11 12 17 18 9 10 11 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 12 15 16 17 12 13 14 15\n"
+ "18 1 9 18 11 12 17 18 9 10 11 18 7 8 9 18 17 0 7 7 0 5 6 0 1 4 5 4 1 2 3 12 13 16 17 16 13 14 15\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 2 9 9 2 7 8 2 3 4 7 7 4 5 6\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 2 9 9 2 5 8 2 3 4 5 8 5 6 7\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 9 10 13 18 17 0 9 9 0 7 8 0 1 2 7 7 2 5 6 2 3 4 5 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 11 14 15 18 9 10 11 18 17 0 9 9 0 7 8 0 1 2 7 7 2 5 6 2 3 4 5 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 9 10 11 18 17 0 9 9 0 7 8 0 1 2 7 7 2 5 6 2 3 4 5 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 7 8 0 1 2 7 7 2 5 6 2 3 4 5 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 7 8 0 1 2 7 7 2 5 6 2 3 4 5 14 15 16 17\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 2 9 9 2 3 8 8 3 6 7 3 4 5 6\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 2 9 9 2 3 8 8 3 4 7 7 4 5 6\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 11 12 13 18 17 0 11 11 0 9 10 0 1 2 9 9 2 3 8 8 3 4 5 8 5 6 7\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 9 10 13 18 17 0 9 9 0 7 8 0 1 2 7 7 2 3 6 6 3 4 5 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 11 14 15 18 9 10 11 18 17 0 9 9 0 7 8 0 1 2 7 7 2 3 6 6 3 4 5 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 9 10 11 18 17 0 9 9 0 7 8 0 1 2 7 7 2 3 6 6 3 4 5 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 7 8 0 1 2 7 7 2 3 6 6 3 4 5 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 9 10 11 18 17 0 9 9 0 7 8 0 1 2 7 7 2 3 6 6 3 4 5 14 15 16 17\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 7 8 13 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 13 8 11 12 8 9 10 11\n"
+ "18 1 9 18 15 16 17 18 13 14 15 18 7 8 13 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 13 8 9 12 12 9 10 11\n"
+ "18 1 9 18 15 16 17 18 11 12 15 18 7 8 11 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 11 8 9 10 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 11 12 13 18 7 8 11 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 11 8 9 10 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 11 12 13 18 7 8 11 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 11 8 9 10 14 15 16 17\n"
+ "18 1 9 18 15 16 17 18 9 14 15 18 7 8 9 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 14 9 10 13 13 10 11 12\n"
+ "18 1 9 18 15 16 17 18 9 14 15 18 7 8 9 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 14 9 10 11 14 11 12 13\n"
+ "18 1 9 18 15 16 17 18 9 12 15 18 7 8 9 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 12 9 10 11 15 12 13 14\n"
+ "18 1 9 18 13 16 17 18 9 12 13 18 7 8 9 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 12 9 10 11 13 14 15 16\n"
+ "18 1 9 18 13 14 17 18 9 12 13 18 7 8 9 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 12 9 10 11 14 15 16 17\n"
+ "18 1 9 18 15 16 17 18 9 10 15 18 7 8 9 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 15 10 13 14 10 11 12 13\n"
+ "18 1 9 18 15 16 17 18 9 10 15 18 7 8 9 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 15 10 11 14 14 11 12 13\n"
+ "18 1 9 18 13 14 17 18 9 10 13 18 7 8 9 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 13 10 11 12 14 15 16 17\n"
+ "18 1 9 18 11 16 17 18 9 10 11 18 7 8 9 18 17 0 7 7 0 5 6 0 1 2 5 5 2 3 4 11 12 15 16 15 12 13 14\n"
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+ "18 1 9 0 15 16 17 0 13 14 15 0 1 18 13 18 1 8 11 1 2 7 8 7 2 3 4 7 4 5 6 11 8 9 10 13 18 11 12\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 12 18 12 1 8 11 1 2 7 8 7 2 3 4 7 4 5 6 11 8 9 10 14 18 12 13\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 8 11 1 2 7 8 7 2 3 4 7 4 5 6 11 8 9 10 18 14 15 16\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 12 9 10 11 18 14 15 16\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 10 13 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 13 10 11 12 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 18 13 18 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 13 18 9 12 9 10 11 12\n"
+ "18 1 9 0 15 16 17 0 11 12 15 0 1 18 11 18 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 11 18 9 10 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 18 11 18 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 11 18 9 10 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 18 11 18 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 11 18 9 10 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 11 18 15 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 18 11 12 13 15 18 13 14\n"
+ "18 1 9 0 18 16 17 0 11 14 18 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 14 11 12 13 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 10 18 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 14 18 10 11 14 11 12 13\n"
+ "18 1 9 0 15 16 17 0 18 12 15 0 1 10 18 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 12 18 10 11 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 18 12 13 0 1 10 18 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 12 18 10 11 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 18 12 13 0 1 10 18 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 12 18 10 11 14 15 16 17\n"
+ "18 1 9 0 13 18 17 0 11 12 13 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 13 14 15 18 18 15 16 17\n"
+ "18 1 9 0 18 16 17 0 11 12 18 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 18 12 15 16 12 13 14 15\n"
+ "18 1 9 0 18 16 17 0 11 12 18 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 18 12 13 16 16 13 14 15\n"
+ "18 1 9 0 18 14 17 0 11 12 18 0 1 10 11 10 1 8 9 1 2 7 8 7 2 3 4 7 4 5 6 18 12 13 14 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 18 13 18 1 10 11 1 2 5 10 5 2 3 4 10 5 6 9 9 6 7 8 13 18 11 12\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 12 18 12 1 10 11 1 2 5 10 5 2 3 4 10 5 6 9 9 6 7 8 14 18 12 13\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 10 11 1 2 5 10 5 2 3 4 10 5 6 9 9 6 7 8 18 14 15 16\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 12 9 10 11 18 14 15 16\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 10 13 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 13 10 11 12 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 18 13 18 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 13 18 9 12 9 10 11 12\n"
+ "18 1 9 0 15 16 17 0 11 12 15 0 1 18 11 18 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 11 18 9 10 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 18 11 18 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 11 18 9 10 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 18 11 18 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 11 18 9 10 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 11 18 15 0 1 10 11 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 18 11 12 13 15 18 13 14\n"
+ "18 1 9 0 18 16 17 0 11 14 18 0 1 10 11 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 14 11 12 13 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 10 18 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 14 18 10 11 14 11 12 13\n"
+ "18 1 9 0 15 16 17 0 18 12 15 0 1 10 18 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 12 18 10 11 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 18 12 13 0 1 10 18 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 12 18 10 11 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 18 12 13 0 1 10 18 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 12 18 10 11 14 15 16 17\n"
+ "18 1 9 0 13 18 17 0 11 12 13 0 1 10 11 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 13 14 15 18 18 15 16 17\n"
+ "18 1 9 0 18 16 17 0 11 12 18 0 1 10 11 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 18 12 15 16 12 13 14 15\n"
+ "18 1 9 0 18 16 17 0 11 12 18 0 1 10 11 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 18 12 13 16 16 13 14 15\n"
+ "18 1 9 0 18 14 17 0 11 12 18 0 1 10 11 10 1 8 9 1 2 5 8 5 2 3 4 8 5 6 7 18 12 13 14 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 10 11 1 2 18 10 18 2 3 4 10 18 4 9 4 5 8 9 8 5 6 7\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 10 11 1 2 18 10 18 2 3 4 10 18 4 9 4 5 6 9 9 6 7 8\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 8 9 1 2 18 8 18 2 3 4 8 18 4 7 4 5 6 7 12 9 10 11\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 10 13 10 1 8 9 1 2 18 8 18 2 3 4 8 18 4 7 4 5 6 7 13 10 11 12\n"
+ "18 1 9 0 15 16 17 0 11 14 15 0 1 10 11 10 1 8 9 1 2 18 8 18 2 3 4 8 18 4 7 4 5 6 7 14 11 12 13\n"
+ "18 1 9 0 15 16 17 0 11 12 15 0 1 10 11 10 1 8 9 1 2 18 8 18 2 3 4 8 18 4 7 4 5 6 7 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 10 11 10 1 8 9 1 2 18 8 18 2 3 4 8 18 4 7 4 5 6 7 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 10 11 10 1 8 9 1 2 18 8 18 2 3 4 8 18 4 7 4 5 6 7 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 12 7 10 11 7 8 9 10\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 12 7 8 11 11 8 9 10\n"
+ "18 1 9 0 15 16 17 0 11 14 15 0 1 10 11 10 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 10 7 8 9 14 11 12 13\n"
+ "18 1 9 0 15 16 17 0 11 12 15 0 1 10 11 10 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 10 7 8 9 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 10 11 10 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 10 7 8 9 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 10 11 10 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 10 7 8 9 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 8 13 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 13 8 9 12 12 9 10 11\n"
+ "18 1 9 0 15 16 17 0 11 12 15 0 1 8 11 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 11 8 9 10 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 8 11 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 11 8 9 10 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 8 11 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 11 8 9 10 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 9 14 15 0 1 8 9 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 14 9 10 13 13 10 11 12\n"
+ "18 1 9 0 15 16 17 0 9 14 15 0 1 8 9 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 14 9 10 11 14 11 12 13\n"
+ "18 1 9 0 15 16 17 0 9 12 15 0 1 8 9 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 12 9 10 11 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 9 12 13 0 1 8 9 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 12 9 10 11 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 9 12 13 0 1 8 9 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 12 9 10 11 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 9 10 15 0 1 8 9 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 15 10 13 14 10 11 12 13\n"
+ "18 1 9 0 15 16 17 0 9 10 15 0 1 8 9 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 15 10 11 14 14 11 12 13\n"
+ "18 1 9 0 13 14 17 0 9 10 13 0 1 8 9 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 13 10 11 12 14 15 16 17\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 8 9 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 11 12 15 16 15 12 13 14\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 8 9 8 1 6 7 1 2 18 6 18 2 3 4 6 18 4 5 11 12 13 16 16 13 14 15\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 6 11 1 2 5 6 5 2 3 4 11 6 7 18 18 7 8 9 11 18 9 10\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 6 18 1 2 5 6 5 2 3 4 18 6 7 10 10 7 8 9 12 18 10 11\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 18 13 18 1 6 11 1 2 5 6 5 2 3 4 11 6 7 10 10 7 8 9 13 18 11 12\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 12 18 12 1 6 11 1 2 5 6 5 2 3 4 11 6 7 10 10 7 8 9 14 18 12 13\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 6 11 1 2 5 6 5 2 3 4 11 6 7 10 10 7 8 9 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 12 18 12 1 6 11 1 2 5 6 5 2 3 4 11 6 7 8 11 8 9 10 14 18 12 13\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 6 11 1 2 5 6 5 2 3 4 11 6 7 8 11 8 9 10 18 14 15 16\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 12 9 10 11 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 6 18 1 2 5 6 5 2 3 4 18 6 7 8 12 18 8 11 8 9 10 11\n"
+ "18 1 9 0 15 16 17 0 11 14 15 0 1 10 11 10 1 6 18 1 2 5 6 5 2 3 4 18 6 7 8 10 18 8 9 14 11 12 13\n"
+ "18 1 9 0 15 16 17 0 11 12 15 0 1 10 11 10 1 6 18 1 2 5 6 5 2 3 4 18 6 7 8 10 18 8 9 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 10 11 10 1 6 18 1 2 5 6 5 2 3 4 18 6 7 8 10 18 8 9 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 10 11 10 1 6 18 1 2 5 6 5 2 3 4 18 6 7 8 10 18 8 9 14 15 16 17\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 10 13 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 13 10 11 12 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 11 12 15 0 1 18 11 18 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 11 18 9 10 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 18 11 18 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 11 18 9 10 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 18 11 18 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 11 18 9 10 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 11 18 15 0 1 10 11 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 18 11 12 13 15 18 13 14\n"
+ "18 1 9 0 18 16 17 0 11 14 18 0 1 10 11 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 14 11 12 13 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 10 18 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 14 18 10 11 14 11 12 13\n"
+ "18 1 9 0 15 16 17 0 18 12 15 0 1 10 18 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 12 18 10 11 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 18 12 13 0 1 10 18 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 12 18 10 11 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 18 12 13 0 1 10 18 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 12 18 10 11 14 15 16 17\n"
+ "18 1 9 0 18 16 17 0 11 12 18 0 1 10 11 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 18 12 15 16 12 13 14 15\n"
+ "18 1 9 0 18 16 17 0 11 12 18 0 1 10 11 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 18 12 13 16 16 13 14 15\n"
+ "18 1 9 0 18 14 17 0 11 12 18 0 1 10 11 10 1 6 9 1 2 5 6 5 2 3 4 9 6 7 8 18 12 13 14 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 18 11 1 2 5 18 5 2 3 4 11 18 5 6 11 6 9 10 6 7 8 9\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 18 11 1 2 5 18 5 2 3 4 11 18 5 6 11 6 7 10 10 7 8 9\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 10 13 10 1 18 9 1 2 5 18 5 2 3 4 9 18 5 6 9 6 7 8 13 10 11 12\n"
+ "18 1 9 0 15 16 17 0 11 14 15 0 1 10 11 10 1 18 9 1 2 5 18 5 2 3 4 9 18 5 6 9 6 7 8 14 11 12 13\n"
+ "18 1 9 0 15 16 17 0 11 12 15 0 1 10 11 10 1 18 9 1 2 5 18 5 2 3 4 9 18 5 6 9 6 7 8 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 10 11 10 1 18 9 1 2 5 18 5 2 3 4 9 18 5 6 9 6 7 8 13 14 15 16\n"
+;
+
+const char* data_dqrgl_block29 =
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 10 11 10 1 18 9 1 2 5 18 5 2 3 4 9 18 5 6 9 6 7 8 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 12 7 8 11 11 8 9 10\n"
+ "18 1 9 0 15 16 17 0 11 14 15 0 1 10 11 10 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 10 7 8 9 14 11 12 13\n"
+ "18 1 9 0 15 16 17 0 11 12 15 0 1 10 11 10 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 10 7 8 9 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 10 11 10 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 10 7 8 9 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 10 11 10 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 10 7 8 9 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 8 13 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 13 8 9 12 12 9 10 11\n"
+ "18 1 9 0 15 16 17 0 11 12 15 0 1 8 11 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 11 8 9 10 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 8 11 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 11 8 9 10 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 8 11 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 11 8 9 10 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 9 14 15 0 1 8 9 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 14 9 10 13 13 10 11 12\n"
+ "18 1 9 0 15 16 17 0 9 14 15 0 1 8 9 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 14 9 10 11 14 11 12 13\n"
+ "18 1 9 0 15 16 17 0 9 12 15 0 1 8 9 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 12 9 10 11 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 9 12 13 0 1 8 9 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 12 9 10 11 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 9 12 13 0 1 8 9 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 12 9 10 11 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 9 10 15 0 1 8 9 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 15 10 13 14 10 11 12 13\n"
+ "18 1 9 0 15 16 17 0 9 10 15 0 1 8 9 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 15 10 11 14 14 11 12 13\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 8 9 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 11 12 15 16 15 12 13 14\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 8 9 8 1 18 7 1 2 5 18 5 2 3 4 7 18 5 6 11 12 13 16 16 13 14 15\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 6 7 1 2 5 6 5 2 3 4 12 7 18 11 7 8 9 18 11 18 9 10\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 6 7 1 2 5 6 5 2 3 4 12 7 10 11 7 8 9 10 18 14 15 16\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 6 7 1 2 5 6 5 2 3 4 12 7 8 11 11 8 9 10 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 11 18 15 0 1 10 11 10 1 6 7 1 2 5 6 5 2 3 4 10 7 8 9 18 11 12 13 15 18 13 14\n"
+ "18 1 9 0 18 16 17 0 11 14 18 0 1 10 11 10 1 6 7 1 2 5 6 5 2 3 4 10 7 8 9 14 11 12 13 18 14 15 16\n"
+ "18 1 9 0 18 16 17 0 11 12 18 0 1 10 11 10 1 6 7 1 2 5 6 5 2 3 4 10 7 8 9 18 12 15 16 12 13 14 15\n"
+ "18 1 9 0 18 16 17 0 11 12 18 0 1 10 11 10 1 6 7 1 2 5 6 5 2 3 4 10 7 8 9 18 12 13 16 16 13 14 15\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 8 13 8 1 6 7 1 2 5 6 5 2 3 4 13 8 9 12 12 9 10 11 18 14 15 16\n"
+ "18 1 9 0 18 16 17 0 11 12 18 0 1 8 11 8 1 6 7 1 2 5 6 5 2 3 4 11 8 9 10 18 12 15 16 12 13 14 15\n"
+ "18 1 9 0 18 16 17 0 11 12 18 0 1 8 11 8 1 6 7 1 2 5 6 5 2 3 4 11 8 9 10 18 12 13 16 16 13 14 15\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 18 13 18 1 6 7 1 2 5 6 5 2 3 4 13 18 7 12 7 8 11 12 11 8 9 10\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 18 13 18 1 6 7 1 2 5 6 5 2 3 4 13 18 7 12 7 8 9 12 12 9 10 11\n"
+ "18 1 9 0 15 16 17 0 11 12 15 0 1 18 11 18 1 6 7 1 2 5 6 5 2 3 4 11 18 7 10 7 8 9 10 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 18 11 18 1 6 7 1 2 5 6 5 2 3 4 11 18 7 10 7 8 9 10 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 18 11 18 1 6 7 1 2 5 6 5 2 3 4 11 18 7 10 7 8 9 10 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 9 10 15 0 1 18 9 18 1 6 7 1 2 5 6 5 2 3 4 9 18 7 8 15 10 13 14 10 11 12 13\n"
+ "18 1 9 0 15 16 17 0 9 10 15 0 1 18 9 18 1 6 7 1 2 5 6 5 2 3 4 9 18 7 8 15 10 11 14 14 11 12 13\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 18 9 18 1 6 7 1 2 5 6 5 2 3 4 9 18 7 8 11 12 15 16 15 12 13 14\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 18 9 18 1 6 7 1 2 5 6 5 2 3 4 9 18 7 8 11 12 13 16 16 13 14 15\n"
+ "18 1 9 0 15 16 17 0 9 14 15 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4 14 9 10 18 18 10 11 12 14 18 12 13\n"
+ "18 1 9 0 15 16 17 0 9 18 15 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4 18 9 10 13 13 10 11 12 15 18 13 14\n"
+ "18 1 9 0 18 16 17 0 9 14 18 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4 14 9 10 13 13 10 11 12 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 9 18 15 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4 18 9 10 11 15 18 11 14 11 12 13 14\n"
+ "18 1 9 0 18 16 17 0 9 12 18 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4 12 9 10 11 18 12 13 16 16 13 14 15\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 8 18 8 1 6 7 1 2 5 6 5 2 3 4 14 18 8 9 14 9 12 13 9 10 11 12\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 8 18 8 1 6 7 1 2 5 6 5 2 3 4 14 18 8 9 14 9 10 13 13 10 11 12\n"
+ "18 1 9 0 13 16 17 0 18 12 13 0 1 8 18 8 1 6 7 1 2 5 6 5 2 3 4 12 18 8 9 12 9 10 11 13 14 15 16\n"
+ "18 1 9 0 15 16 17 0 18 10 15 0 1 8 18 8 1 6 7 1 2 5 6 5 2 3 4 10 18 8 9 15 10 11 14 14 11 12 13\n"
+ "18 1 9 0 11 16 17 0 18 10 11 0 1 8 18 8 1 6 7 1 2 5 6 5 2 3 4 10 18 8 9 11 12 15 16 15 12 13 14\n"
+ "18 1 9 0 11 16 17 0 18 10 11 0 1 8 18 8 1 6 7 1 2 5 6 5 2 3 4 10 18 8 9 11 12 13 16 16 13 14 15\n"
+ "18 1 9 0 15 16 17 0 9 10 15 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4 15 10 18 14 10 11 12 18 14 18 12 13\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4 11 12 18 16 18 12 13 14 16 18 14 15\n"
+ "18 1 9 0 18 16 17 0 9 10 18 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4 18 10 15 16 10 11 14 15 14 11 12 13\n"
+ "18 1 9 0 18 16 17 0 9 10 18 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4 18 10 15 16 10 11 12 15 15 12 13 14\n"
+ "18 1 9 0 18 16 17 0 9 10 18 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4 18 10 13 16 10 11 12 13 16 13 14 15\n"
+ "18 1 9 0 18 16 17 0 9 10 18 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4 18 10 11 16 16 11 14 15 11 12 13 14\n"
+ "18 1 9 0 18 16 17 0 9 10 18 0 1 8 9 8 1 6 7 1 2 5 6 5 2 3 4 18 10 11 16 16 11 12 15 15 12 13 14\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 10 11 1 2 3 10 10 3 8 9 3 4 18 8 18 4 5 6 8 18 6 7\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 10 11 1 2 3 10 10 3 18 9 3 4 7 18 7 4 5 6 9 18 7 8\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 18 13 18 1 10 11 1 2 3 10 10 3 8 9 3 4 7 8 7 4 5 6 13 18 11 12\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 12 18 12 1 10 11 1 2 3 10 10 3 8 9 3 4 7 8 7 4 5 6 14 18 12 13\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 10 11 1 2 3 10 10 3 8 9 3 4 7 8 7 4 5 6 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 18 13 18 1 10 11 1 2 3 10 10 3 8 9 3 4 5 8 8 5 6 7 13 18 11 12\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 12 18 12 1 10 11 1 2 3 10 10 3 8 9 3 4 5 8 8 5 6 7 14 18 12 13\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 10 11 1 2 3 10 10 3 8 9 3 4 5 8 8 5 6 7 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 18 13 18 1 10 11 1 2 3 10 10 3 6 9 3 4 5 6 9 6 7 8 13 18 11 12\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 12 18 12 1 10 11 1 2 3 10 10 3 6 9 3 4 5 6 9 6 7 8 14 18 12 13\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 10 11 1 2 3 10 10 3 6 9 3 4 5 6 9 6 7 8 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 10 11 1 2 3 10 10 3 18 9 3 4 5 18 9 18 5 8 5 6 7 8\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 10 11 1 2 3 10 10 3 18 9 3 4 5 18 9 18 5 6 9 6 7 8\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 8 9 1 2 3 8 8 3 18 7 3 4 5 18 7 18 5 6 12 9 10 11\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 10 13 10 1 8 9 1 2 3 8 8 3 18 7 3 4 5 18 7 18 5 6 13 10 11 12\n"
+ "18 1 9 0 15 16 17 0 11 14 15 0 1 10 11 10 1 8 9 1 2 3 8 8 3 18 7 3 4 5 18 7 18 5 6 14 11 12 13\n"
+ "18 1 9 0 15 16 17 0 11 12 15 0 1 10 11 10 1 8 9 1 2 3 8 8 3 18 7 3 4 5 18 7 18 5 6 15 12 13 14\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 10 11 10 1 8 9 1 2 3 8 8 3 18 7 3 4 5 18 7 18 5 6 13 14 15 16\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 8 9 1 2 3 8 8 3 6 7 3 4 5 6 12 9 10 11 18 14 15 16\n"
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+ "18 1 9 0 11 16 17 0 9 10 11 0 1 18 9 18 1 2 7 7 2 3 6 6 3 4 5 9 18 7 8 11 12 15 16 15 12 13 14\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 18 9 18 1 2 7 7 2 3 6 6 3 4 5 9 18 7 8 11 12 13 16 16 13 14 15\n"
+ "18 1 9 0 11 14 17 0 9 10 11 0 1 18 9 18 1 2 7 7 2 3 6 6 3 4 5 9 18 7 8 11 12 13 14 14 15 16 17\n"
+ "18 1 9 0 11 12 17 0 9 10 11 0 1 18 9 18 1 2 7 7 2 3 6 6 3 4 5 9 18 7 8 12 15 16 17 12 13 14 15\n"
+ "18 1 9 0 11 12 17 0 9 10 11 0 1 18 9 18 1 2 7 7 2 3 6 6 3 4 5 9 18 7 8 12 13 16 17 16 13 14 15\n"
+ "18 1 9 0 15 16 17 0 9 14 15 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 14 9 10 18 18 10 11 12 14 18 12 13\n"
+ "18 1 9 0 15 16 17 0 9 18 15 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 18 9 10 13 13 10 11 12 15 18 13 14\n"
+ "18 1 9 0 18 16 17 0 9 14 18 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 14 9 10 13 13 10 11 12 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 9 18 15 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 18 9 10 11 15 18 11 14 11 12 13 14\n"
+ "18 1 9 0 15 16 17 0 18 14 15 0 1 8 18 8 1 2 7 7 2 3 6 6 3 4 5 14 18 8 9 14 9 10 13 13 10 11 12\n"
+ "18 1 9 0 13 14 17 0 18 12 13 0 1 8 18 8 1 2 7 7 2 3 6 6 3 4 5 12 18 8 9 12 9 10 11 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 18 10 15 0 1 8 18 8 1 2 7 7 2 3 6 6 3 4 5 10 18 8 9 15 10 11 14 14 11 12 13\n"
+ "18 1 9 0 13 14 17 0 18 10 13 0 1 8 18 8 1 2 7 7 2 3 6 6 3 4 5 10 18 8 9 13 10 11 12 14 15 16 17\n"
+ "18 1 9 0 11 16 17 0 18 10 11 0 1 8 18 8 1 2 7 7 2 3 6 6 3 4 5 10 18 8 9 11 12 15 16 15 12 13 14\n"
+ "18 1 9 0 11 16 17 0 18 10 11 0 1 8 18 8 1 2 7 7 2 3 6 6 3 4 5 10 18 8 9 11 12 13 16 16 13 14 15\n"
+ "18 1 9 0 11 14 17 0 18 10 11 0 1 8 18 8 1 2 7 7 2 3 6 6 3 4 5 10 18 8 9 11 12 13 14 14 15 16 17\n"
+ "18 1 9 0 11 12 17 0 18 10 11 0 1 8 18 8 1 2 7 7 2 3 6 6 3 4 5 10 18 8 9 12 15 16 17 12 13 14 15\n"
+ "18 1 9 0 11 12 17 0 18 10 11 0 1 8 18 8 1 2 7 7 2 3 6 6 3 4 5 10 18 8 9 12 13 16 17 16 13 14 15\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 11 12 18 16 18 12 13 14 16 18 14 15\n"
+ "18 1 9 0 11 18 17 0 9 10 11 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 11 12 15 18 15 12 13 14 18 15 16 17\n"
+ "18 1 9 0 11 18 17 0 9 10 11 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 11 12 13 18 18 13 16 17 13 14 15 16\n"
+ "18 1 9 0 18 16 17 0 9 10 18 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 18 10 11 16 16 11 12 15 15 12 13 14\n"
+ "18 1 9 0 18 12 17 0 9 10 18 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 18 10 11 12 12 13 16 17 16 13 14 15\n"
+ "18 1 9 0 11 12 17 0 9 10 11 0 1 8 9 8 1 2 7 7 2 3 6 6 3 4 5 12 18 16 17 12 13 14 18 16 18 14 15\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 2 11 11 2 3 4 11 4 9 10 4 5 18 9 18 5 6 7 9 18 7 8\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 2 11 11 2 3 4 11 4 18 10 4 5 8 18 8 5 6 7 10 18 8 9\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 2 11 11 2 3 4 11 4 18 10 4 5 6 18 10 18 6 9 6 7 8 9\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 10 11 10 1 2 9 9 2 3 4 9 4 18 8 4 5 6 18 8 18 6 7 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 10 11 10 1 2 9 9 2 3 4 9 4 18 8 4 5 6 18 8 18 6 7 14 15 16 17\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 2 11 11 2 3 4 11 4 5 10 10 5 18 9 5 6 7 18 9 18 7 8\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 12 13 12 1 2 5 5 2 3 4 12 5 6 11 11 6 7 10 10 7 8 9 18 14 15 16\n"
+ "18 1 9 0 13 18 17 0 11 12 13 0 1 10 11 10 1 2 5 5 2 3 4 10 5 6 9 9 6 7 8 13 14 15 18 18 15 16 17\n"
+ "18 1 9 0 18 14 17 0 11 12 18 0 1 10 11 10 1 2 5 5 2 3 4 10 5 6 9 9 6 7 8 18 12 13 14 14 15 16 17\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7 11 12 18 16 18 12 13 14 16 18 14 15\n"
+ "18 1 9 0 11 18 17 0 9 10 11 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7 11 12 15 18 15 12 13 14 18 15 16 17\n"
+ "18 1 9 0 11 18 17 0 9 10 11 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7 11 12 13 18 18 13 16 17 13 14 15 16\n"
+ "18 1 9 0 18 12 17 0 9 10 18 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7 18 10 11 12 12 13 16 17 16 13 14 15\n"
+ "18 1 9 0 11 12 17 0 9 10 11 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7 12 18 16 17 12 13 14 18 16 18 14 15\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 10 11 10 1 2 18 18 2 3 4 10 18 4 9 4 5 8 9 8 5 6 7 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 10 11 10 1 2 18 18 2 3 4 10 18 4 9 4 5 8 9 8 5 6 7 14 15 16 17\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 8 9 8 1 2 18 18 2 3 4 8 18 4 7 4 5 6 7 11 12 15 16 15 12 13 14\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 8 9 8 1 2 18 18 2 3 4 8 18 4 7 4 5 6 7 11 12 13 16 16 13 14 15\n"
+ "18 1 9 0 11 14 17 0 9 10 11 0 1 8 9 8 1 2 18 18 2 3 4 8 18 4 7 4 5 6 7 11 12 13 14 14 15 16 17\n"
+ "18 1 9 0 11 12 17 0 9 10 11 0 1 8 9 8 1 2 18 18 2 3 4 8 18 4 7 4 5 6 7 12 15 16 17 12 13 14 15\n"
+ "18 1 9 0 11 12 17 0 9 10 11 0 1 8 9 8 1 2 18 18 2 3 4 8 18 4 7 4 5 6 7 12 13 16 17 16 13 14 15\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 6 7 6 1 2 18 18 2 3 4 6 18 4 5 9 10 15 16 15 10 11 14 14 11 12 13\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 6 7 6 1 2 18 18 2 3 4 6 18 4 5 9 10 15 16 15 10 11 12 15 12 13 14\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 6 7 6 1 2 18 18 2 3 4 6 18 4 5 9 10 13 16 13 10 11 12 16 13 14 15\n"
+ "18 1 9 0 9 14 17 0 7 8 9 0 1 6 7 6 1 2 18 18 2 3 4 6 18 4 5 9 10 13 14 13 10 11 12 14 15 16 17\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 6 7 6 1 2 18 18 2 3 4 6 18 4 5 9 10 11 16 16 11 14 15 11 12 13 14\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 6 7 6 1 2 18 18 2 3 4 6 18 4 5 9 10 11 16 16 11 12 15 15 12 13 14\n"
+ "18 1 9 0 9 12 17 0 7 8 9 0 1 6 7 6 1 2 18 18 2 3 4 6 18 4 5 9 10 11 12 12 13 16 17 16 13 14 15\n"
+ "18 1 9 0 9 10 17 0 7 8 9 0 1 6 7 6 1 2 18 18 2 3 4 6 18 4 5 10 15 16 17 10 11 14 15 14 11 12 13\n"
+ "18 1 9 0 9 10 17 0 7 8 9 0 1 6 7 6 1 2 18 18 2 3 4 6 18 4 5 10 15 16 17 10 11 12 15 15 12 13 14\n"
+ "18 1 9 0 18 16 17 0 13 14 18 0 1 6 13 6 1 2 5 5 2 3 4 13 6 7 12 12 7 8 11 11 8 9 10 18 14 15 16\n"
+ "18 1 9 0 13 18 17 0 11 12 13 0 1 6 11 6 1 2 5 5 2 3 4 11 6 7 10 10 7 8 9 13 14 15 18 18 15 16 17\n"
+ "18 1 9 0 18 16 17 0 11 12 18 0 1 6 11 6 1 2 5 5 2 3 4 11 6 7 10 10 7 8 9 18 12 13 16 16 13 14 15\n"
+ "18 1 9 0 18 14 17 0 11 12 18 0 1 6 11 6 1 2 5 5 2 3 4 11 6 7 10 10 7 8 9 18 12 13 14 14 15 16 17\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 11 12 18 16 18 12 13 14 16 18 14 15\n"
+ "18 1 9 0 11 18 17 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 11 12 15 18 15 12 13 14 18 15 16 17\n"
+ "18 1 9 0 11 18 17 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 11 12 13 18 18 13 16 17 13 14 15 16\n"
+ "18 1 9 0 18 12 17 0 9 10 18 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 18 10 11 12 12 13 16 17 16 13 14 15\n"
+ "18 1 9 0 11 12 17 0 7 8 11 0 1 18 7 18 1 2 5 5 2 3 4 7 18 5 6 11 8 9 10 12 13 16 17 16 13 14 15\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 18 7 18 1 2 5 5 2 3 4 7 18 5 6 9 10 15 16 15 10 11 14 14 11 12 13\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 18 7 18 1 2 5 5 2 3 4 7 18 5 6 9 10 15 16 15 10 11 12 15 12 13 14\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 18 7 18 1 2 5 5 2 3 4 7 18 5 6 9 10 13 16 13 10 11 12 16 13 14 15\n"
+ "18 1 9 0 9 14 17 0 7 8 9 0 1 18 7 18 1 2 5 5 2 3 4 7 18 5 6 9 10 13 14 13 10 11 12 14 15 16 17\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 18 7 18 1 2 5 5 2 3 4 7 18 5 6 9 10 11 16 16 11 14 15 11 12 13 14\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 18 7 18 1 2 5 5 2 3 4 7 18 5 6 9 10 11 16 16 11 12 15 15 12 13 14\n"
+ "18 1 9 0 9 10 17 0 7 8 9 0 1 18 7 18 1 2 5 5 2 3 4 7 18 5 6 10 15 16 17 10 11 14 15 14 11 12 13\n"
+ "18 1 9 0 9 10 17 0 7 8 9 0 1 18 7 18 1 2 5 5 2 3 4 7 18 5 6 10 15 16 17 10 11 12 15 15 12 13 14\n"
+;
+
+const char* data_dqrgl_block30 =
+ "18 1 9 0 15 16 17 0 7 18 15 0 1 6 7 6 1 2 5 5 2 3 4 18 7 8 13 13 8 9 12 12 9 10 11 15 18 13 14\n"
+ "18 1 9 0 18 16 17 0 7 14 18 0 1 6 7 6 1 2 5 5 2 3 4 14 7 8 13 13 8 9 12 12 9 10 11 18 14 15 16\n"
+ "18 1 9 0 15 16 17 0 7 14 15 0 1 6 7 6 1 2 5 5 2 3 4 14 7 8 18 18 8 9 10 14 18 10 13 10 11 12 13\n"
+ "18 1 9 0 13 14 17 0 7 18 13 0 1 6 7 6 1 2 5 5 2 3 4 18 7 8 11 11 8 9 10 13 18 11 12 14 15 16 17\n"
+ "18 1 9 0 18 16 17 0 7 12 18 0 1 6 7 6 1 2 5 5 2 3 4 12 7 8 11 11 8 9 10 18 12 13 16 16 13 14 15\n"
+ "18 1 9 0 15 16 17 0 7 14 15 0 1 6 7 6 1 2 5 5 2 3 4 14 7 8 9 14 9 18 13 9 10 11 18 13 18 11 12\n"
+ "18 1 9 0 15 16 17 0 7 18 15 0 1 6 7 6 1 2 5 5 2 3 4 18 7 8 9 15 18 9 14 9 10 13 14 13 10 11 12\n"
+ "18 1 9 0 13 14 17 0 18 12 13 0 1 6 18 6 1 2 5 5 2 3 4 12 18 6 7 12 7 8 11 11 8 9 10 14 15 16 17\n"
+ "18 1 9 0 13 14 17 0 18 8 13 0 1 6 18 6 1 2 5 5 2 3 4 8 18 6 7 13 8 9 12 12 9 10 11 14 15 16 17\n"
+ "18 1 9 0 9 16 17 0 18 8 9 0 1 6 18 6 1 2 5 5 2 3 4 8 18 6 7 9 10 15 16 15 10 11 14 14 11 12 13\n"
+ "18 1 9 0 9 16 17 0 18 8 9 0 1 6 18 6 1 2 5 5 2 3 4 8 18 6 7 9 10 15 16 15 10 11 12 15 12 13 14\n"
+ "18 1 9 0 9 16 17 0 18 8 9 0 1 6 18 6 1 2 5 5 2 3 4 8 18 6 7 9 10 13 16 13 10 11 12 16 13 14 15\n"
+ "18 1 9 0 9 14 17 0 18 8 9 0 1 6 18 6 1 2 5 5 2 3 4 8 18 6 7 9 10 13 14 13 10 11 12 14 15 16 17\n"
+ "18 1 9 0 9 16 17 0 18 8 9 0 1 6 18 6 1 2 5 5 2 3 4 8 18 6 7 9 10 11 16 16 11 14 15 11 12 13 14\n"
+ "18 1 9 0 9 16 17 0 18 8 9 0 1 6 18 6 1 2 5 5 2 3 4 8 18 6 7 9 10 11 16 16 11 12 15 15 12 13 14\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 9 10 18 16 18 10 11 12 16 18 12 15 12 13 14 15\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 9 10 11 16 16 11 18 15 11 12 13 18 15 18 13 14\n"
+ "18 1 9 0 18 16 17 0 7 8 18 0 1 6 7 6 1 2 5 5 2 3 4 18 8 9 16 16 9 10 15 15 10 11 14 14 11 12 13\n"
+ "18 1 9 0 9 10 17 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 10 15 16 17 10 11 18 15 18 11 12 13 15 18 13 14\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 2 3 12 3 10 11 3 4 18 10 18 4 5 6 10 18 6 9 6 7 8 9\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 10 11 10 1 2 3 10 3 8 9 3 4 18 8 18 4 5 6 8 18 6 7 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 10 11 10 1 2 3 10 3 8 9 3 4 18 8 18 4 5 6 8 18 6 7 14 15 16 17\n"
+ "18 1 9 0 13 16 17 0 11 12 13 0 1 10 11 10 1 2 3 10 3 18 9 3 4 7 18 7 4 5 6 9 18 7 8 13 14 15 16\n"
+ "18 1 9 0 13 14 17 0 11 12 13 0 1 10 11 10 1 2 3 10 3 18 9 3 4 7 18 7 4 5 6 9 18 7 8 14 15 16 17\n"
+ "18 1 9 0 13 18 17 0 11 12 13 0 1 10 11 10 1 2 3 10 3 8 9 3 4 7 8 7 4 5 6 13 14 15 18 18 15 16 17\n"
+ "18 1 9 0 15 16 17 0 13 14 15 0 1 12 13 12 1 2 3 12 3 10 11 3 4 5 10 10 5 18 9 5 6 7 18 9 18 7 8\n"
+ "18 1 9 0 13 18 17 0 11 12 13 0 1 10 11 10 1 2 3 10 3 8 9 3 4 5 8 8 5 6 7 13 14 15 18 18 15 16 17\n"
+ "18 1 9 0 13 18 17 0 11 12 13 0 1 10 11 10 1 2 3 10 3 6 9 3 4 5 6 9 6 7 8 13 14 15 18 18 15 16 17\n"
+ "18 1 9 0 11 12 17 0 9 10 11 0 1 8 9 8 1 2 3 8 3 18 7 3 4 5 18 7 18 5 6 12 15 16 17 12 13 14 15\n"
+ "18 1 9 0 11 16 17 0 9 10 11 0 1 4 9 4 1 2 3 9 4 5 8 8 5 6 7 11 12 18 16 18 12 13 14 16 18 14 15\n"
+ "18 1 9 0 11 18 17 0 9 10 11 0 1 4 9 4 1 2 3 9 4 5 8 8 5 6 7 11 12 15 18 15 12 13 14 18 15 16 17\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 4 7 4 1 2 3 7 4 5 6 9 10 18 16 18 10 11 12 16 18 12 15 12 13 14 15\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 4 7 4 1 2 3 7 4 5 6 9 10 11 16 16 11 18 15 11 12 13 18 15 18 13 14\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 18 7 18 1 2 3 7 18 3 6 3 4 5 6 9 10 11 16 16 11 14 15 11 12 13 14\n"
+ "18 1 9 0 9 16 17 0 7 8 9 0 1 18 7 18 1 2 3 7 18 3 6 3 4 5 6 9 10 11 16 16 11 12 15 15 12 13 14\n"
+ "18 1 9 0 7 16 17 0 5 6 7 0 1 18 5 18 1 2 3 5 18 3 4 7 8 9 16 16 9 14 15 9 10 13 14 13 10 11 12\n"
+ "18 1 9 0 7 16 17 0 5 6 7 0 1 18 5 18 1 2 3 5 18 3 4 7 8 9 16 16 9 14 15 9 10 11 14 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 9 10 2 3 8 9 8 3 6 7 3 4 5 6\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 9 10 2 3 8 9 8 3 4 7 7 4 5 6\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 9 10 2 3 8 9 8 3 4 5 8 5 6 7\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 9 10 2 3 6 9 6 3 4 5 9 6 7 8\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 7 10 2 3 6 7 6 3 4 5 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 7 8 2 3 6 7 6 3 4 5 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 9 12 9 2 7 8 2 3 6 7 6 3 4 5 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 10 13 1 2 9 10 9 2 7 8 2 3 6 7 6 3 4 5 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 10 11 1 2 9 10 9 2 7 8 2 3 6 7 6 3 4 5 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 10 11 1 2 9 10 9 2 7 8 2 3 6 7 6 3 4 5 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 10 11 1 2 9 10 9 2 7 8 2 3 6 7 6 3 4 5 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 10 11 1 2 9 10 9 2 7 8 2 3 6 7 6 3 4 5 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 10 11 1 2 9 10 9 2 7 8 2 3 6 7 6 3 4 5 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 10 11 1 2 9 10 9 2 7 8 2 3 6 7 6 3 4 5 16 17 18 19\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 9 10 2 3 4 9 9 4 7 8 4 5 6 7\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 9 10 2 3 4 9 9 4 5 8 8 5 6 7\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 7 8 2 3 4 7 7 4 5 6 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 9 12 9 2 7 8 2 3 4 7 7 4 5 6 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 10 13 1 2 9 10 9 2 7 8 2 3 4 7 7 4 5 6 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 10 11 1 2 9 10 9 2 7 8 2 3 4 7 7 4 5 6 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 10 11 1 2 9 10 9 2 7 8 2 3 4 7 7 4 5 6 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 10 11 1 2 9 10 9 2 7 8 2 3 4 7 7 4 5 6 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 10 11 1 2 9 10 9 2 7 8 2 3 4 7 7 4 5 6 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 10 11 1 2 9 10 9 2 7 8 2 3 4 7 7 4 5 6 15 16 17 18\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 5 10 2 3 4 5 10 5 6 9 9 6 7 8\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 5 10 2 3 4 5 10 5 6 7 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 5 8 2 3 4 5 8 5 6 7 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 9 12 9 2 5 8 2 3 4 5 8 5 6 7 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 10 13 1 2 9 10 9 2 5 8 2 3 4 5 8 5 6 7 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 10 11 1 2 9 10 9 2 5 8 2 3 4 5 8 5 6 7 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 10 11 1 2 9 10 9 2 5 8 2 3 4 5 8 5 6 7 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 10 11 1 2 9 10 9 2 5 8 2 3 4 5 8 5 6 7 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 10 11 1 2 9 10 9 2 5 8 2 3 4 5 8 5 6 7 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 5 6 2 3 4 5 11 6 9 10 6 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 5 6 2 3 4 5 11 6 7 10 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 10 13 1 2 9 10 9 2 5 6 2 3 4 5 9 6 7 8 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 10 11 1 2 9 10 9 2 5 6 2 3 4 5 9 6 7 8 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 10 11 1 2 9 10 9 2 5 6 2 3 4 5 9 6 7 8 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 10 11 1 2 9 10 9 2 5 6 2 3 4 5 9 6 7 8 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 7 12 7 2 5 6 2 3 4 5 12 7 8 11 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 10 11 1 2 7 10 7 2 5 6 2 3 4 5 10 7 8 9 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 10 11 1 2 7 10 7 2 5 6 2 3 4 5 10 7 8 9 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 8 13 1 2 7 8 7 2 5 6 2 3 4 5 13 8 9 12 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 8 13 1 2 7 8 7 2 5 6 2 3 4 5 13 8 9 10 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 8 11 1 2 7 8 7 2 5 6 2 3 4 5 11 8 9 10 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 3 10 10 3 8 9 3 4 7 8 7 4 5 6\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 3 10 10 3 8 9 3 4 5 8 8 5 6 7\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 3 10 10 3 6 9 3 4 5 6 9 6 7 8\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 3 10 10 3 6 7 3 4 5 6 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 3 8 8 3 6 7 3 4 5 6 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 9 12 9 2 3 8 8 3 6 7 3 4 5 6 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 10 13 1 2 9 10 9 2 3 8 8 3 6 7 3 4 5 6 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 10 11 1 2 9 10 9 2 3 8 8 3 6 7 3 4 5 6 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 10 11 1 2 9 10 9 2 3 8 8 3 6 7 3 4 5 6 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 10 11 1 2 9 10 9 2 3 8 8 3 6 7 3 4 5 6 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 10 11 1 2 9 10 9 2 3 8 8 3 6 7 3 4 5 6 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 10 11 1 2 9 10 9 2 3 8 8 3 6 7 3 4 5 6 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 10 11 1 2 9 10 9 2 3 8 8 3 6 7 3 4 5 6 16 17 18 19\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 3 10 10 3 4 9 9 4 7 8 4 5 6 7\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 3 10 10 3 4 9 9 4 5 8 8 5 6 7\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 3 10 10 3 4 9 9 4 5 6 9 6 7 8\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 3 10 10 3 4 7 7 4 5 6 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 11 12 11 2 3 8 8 3 4 7 7 4 5 6 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 12 13 1 2 9 12 9 2 3 8 8 3 4 7 7 4 5 6 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 10 13 1 2 9 10 9 2 3 8 8 3 4 7 7 4 5 6 13 10 11 12\n"
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+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 4 11 1 2 3 4 11 4 5 10 10 5 6 7 10 7 8 9 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 4 11 1 2 3 4 11 4 5 10 10 5 6 7 10 7 8 9 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 4 11 1 2 3 4 11 4 5 10 10 5 6 7 10 7 8 9 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 13 1 2 3 4 13 4 5 8 8 5 6 7 13 8 9 12 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 4 11 1 2 3 4 11 4 5 8 8 5 6 7 11 8 9 10 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 4 11 1 2 3 4 11 4 5 8 8 5 6 7 11 8 9 10 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 4 11 1 2 3 4 11 4 5 8 8 5 6 7 11 8 9 10 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 14 9 10 13 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 12 9 10 11 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 12 9 10 11 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 10 15 10 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 15 10 11 14 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 10 13 10 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 13 10 11 12 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 11 16 17 0 1 10 11 10 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 16 11 12 15 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 11 16 17 0 1 10 11 10 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 16 11 12 13 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 11 14 17 0 1 10 11 10 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 14 11 12 13 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 11 12 17 0 1 10 11 10 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 17 12 15 16 12 13 14 15\n"
+ "20 0 9 0 17 18 19 0 11 12 17 0 1 10 11 10 1 4 9 1 2 3 4 9 4 5 8 8 5 6 7 17 12 13 16 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 13 1 2 3 4 13 4 5 6 13 6 11 12 6 7 10 11 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 13 1 2 3 4 13 4 5 6 13 6 11 12 6 7 8 11 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 13 1 2 3 4 13 4 5 6 13 6 9 12 6 7 8 9 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 4 11 1 2 3 4 11 4 5 6 11 6 9 10 6 7 8 9 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 4 11 1 2 3 4 11 4 5 6 11 6 9 10 6 7 8 9 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 13 1 2 3 4 13 4 5 6 13 6 7 12 12 7 10 11 7 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 13 1 2 3 4 13 4 5 6 13 6 7 12 12 7 8 11 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 4 11 1 2 3 4 11 4 5 6 11 6 7 10 10 7 8 9 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 4 11 1 2 3 4 11 4 5 6 11 6 7 10 10 7 8 9 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 11 16 17 0 1 10 11 10 1 4 9 1 2 3 4 9 4 5 6 9 6 7 8 16 11 12 15 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 11 16 17 0 1 10 11 10 1 4 9 1 2 3 4 9 4 5 6 9 6 7 8 16 11 12 13 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 11 14 17 0 1 10 11 10 1 4 9 1 2 3 4 9 4 5 6 9 6 7 8 14 11 12 13 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 11 12 17 0 1 10 11 10 1 4 9 1 2 3 4 9 4 5 6 9 6 7 8 17 12 15 16 12 13 14 15\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 7 1 2 3 4 7 4 5 6 14 7 8 13 13 8 11 12 8 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 7 1 2 3 4 7 4 5 6 14 7 8 13 13 8 9 12 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 4 7 1 2 3 4 7 4 5 6 12 7 8 11 11 8 9 10 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 11 14 17 0 1 10 11 10 1 4 7 1 2 3 4 7 4 5 6 10 7 8 9 14 11 12 13 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 8 15 8 1 4 7 1 2 3 4 7 4 5 6 15 8 9 14 14 9 10 13 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 8 13 8 1 4 7 1 2 3 4 7 4 5 6 13 8 9 12 12 9 10 11 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 9 16 17 0 1 8 9 8 1 4 7 1 2 3 4 7 4 5 6 16 9 10 15 15 10 11 14 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 9 16 17 0 1 8 9 8 1 4 7 1 2 3 4 7 4 5 6 16 9 10 15 15 10 11 12 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 9 16 17 0 1 8 9 8 1 4 7 1 2 3 4 7 4 5 6 16 9 10 13 13 10 11 12 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 9 16 17 0 1 8 9 8 1 4 7 1 2 3 4 7 4 5 6 16 9 10 11 16 11 14 15 11 12 13 14\n"
+ "20 0 9 0 17 18 19 0 9 16 17 0 1 8 9 8 1 4 7 1 2 3 4 7 4 5 6 16 9 10 11 16 11 12 15 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 12 13 5 6 11 12 11 6 7 10 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 12 13 5 6 11 12 11 6 7 8 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 12 13 5 6 9 12 9 6 7 8 12 9 10 11\n"
+;
+
+const char* data_dqrgl_block31 =
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 10 13 5 6 9 10 9 6 7 8 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 12 13 5 6 7 12 12 7 10 11 7 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 12 13 5 6 7 12 12 7 8 11 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 8 13 5 6 7 8 13 8 9 12 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 6 13 13 6 11 12 6 7 10 11 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 6 13 13 6 11 12 6 7 8 11 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 6 13 13 6 9 12 6 7 8 9 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 6 13 13 6 7 12 12 7 10 11 7 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 6 13 13 6 7 12 12 7 8 11 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 4 5 1 2 3 4 14 5 6 13 13 6 7 12 12 7 8 9 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 6 15 6 1 4 5 1 2 3 4 15 6 7 14 14 7 8 13 13 8 11 12 8 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 6 15 6 1 4 5 1 2 3 4 15 6 7 14 14 7 8 13 13 8 9 12 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 10 11 10 3 4 9 9 4 7 8 4 5 6 7\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 10 11 10 3 4 9 9 4 5 8 8 5 6 7\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 10 11 10 3 4 9 9 4 5 6 9 6 7 8\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 10 11 10 3 4 7 7 4 5 6 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 8 11 8 3 4 7 7 4 5 6 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 9 12 2 3 8 9 8 3 4 7 7 4 5 6 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 9 10 2 3 8 9 8 3 4 7 7 4 5 6 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 11 11 2 9 10 2 3 8 9 8 3 4 7 7 4 5 6 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 2 11 11 2 9 10 2 3 8 9 8 3 4 7 7 4 5 6 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 2 11 11 2 9 10 2 3 8 9 8 3 4 7 7 4 5 6 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 11 11 2 9 10 2 3 8 9 8 3 4 7 7 4 5 6 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 9 10 2 3 8 9 8 3 4 7 7 4 5 6 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 9 10 2 3 8 9 8 3 4 7 7 4 5 6 16 17 18 19\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 10 11 10 3 4 5 10 5 8 9 5 6 7 8\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 10 11 10 3 4 5 10 5 6 9 9 6 7 8\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 9 10 2 3 8 9 8 3 4 5 8 5 6 7 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 11 11 2 9 10 2 3 8 9 8 3 4 5 8 5 6 7 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 2 11 11 2 9 10 2 3 8 9 8 3 4 5 8 5 6 7 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 2 11 11 2 9 10 2 3 8 9 8 3 4 5 8 5 6 7 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 11 11 2 9 10 2 3 8 9 8 3 4 5 8 5 6 7 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 9 10 2 3 8 9 8 3 4 5 8 5 6 7 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 9 10 2 3 8 9 8 3 4 5 8 5 6 7 16 17 18 19\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 6 11 6 3 4 5 11 6 7 10 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 9 10 2 3 6 9 6 3 4 5 9 6 7 8 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 11 11 2 9 10 2 3 6 9 6 3 4 5 9 6 7 8 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 2 11 11 2 9 10 2 3 6 9 6 3 4 5 9 6 7 8 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 2 11 11 2 9 10 2 3 6 9 6 3 4 5 9 6 7 8 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 11 11 2 9 10 2 3 6 9 6 3 4 5 9 6 7 8 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 9 10 2 3 6 9 6 3 4 5 9 6 7 8 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 9 10 2 3 6 9 6 3 4 5 9 6 7 8 16 17 18 19\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 7 12 2 3 6 7 6 3 4 5 12 7 8 11 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 7 12 2 3 6 7 6 3 4 5 12 7 8 9 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 7 10 2 3 6 7 6 3 4 5 10 7 8 9 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 11 11 2 7 10 2 3 6 7 6 3 4 5 10 7 8 9 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 2 11 11 2 7 10 2 3 6 7 6 3 4 5 10 7 8 9 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 2 11 11 2 7 10 2 3 6 7 6 3 4 5 10 7 8 9 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 11 11 2 7 10 2 3 6 7 6 3 4 5 10 7 8 9 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 7 10 2 3 6 7 6 3 4 5 10 7 8 9 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 7 10 2 3 6 7 6 3 4 5 10 7 8 9 16 17 18 19\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 7 8 2 3 6 7 6 3 4 5 13 8 11 12 8 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 7 8 2 3 6 7 6 3 4 5 13 8 9 12 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 2 11 11 2 7 8 2 3 6 7 6 3 4 5 11 8 9 10 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 11 11 2 7 8 2 3 6 7 6 3 4 5 11 8 9 10 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 7 8 2 3 6 7 6 3 4 5 11 8 9 10 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 7 8 2 3 6 7 6 3 4 5 11 8 9 10 16 17 18 19\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 14 9 10 13 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 12 9 10 11 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 12 9 10 11 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 12 9 10 11 16 17 18 19\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 10 15 10 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 15 10 11 14 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 10 13 10 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 13 10 11 12 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 10 13 10 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 13 10 11 12 15 16 17 18\n"
+ "20 0 9 0 17 18 19 0 11 16 17 0 1 10 11 10 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 16 11 12 15 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 11 16 17 0 1 10 11 10 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 16 11 12 13 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 11 14 17 0 1 10 11 10 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 14 11 12 13 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 11 14 15 0 1 10 11 10 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 14 11 12 13 15 16 17 18\n"
+ "20 0 9 0 17 18 19 0 11 12 17 0 1 10 11 10 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 17 12 15 16 12 13 14 15\n"
+ "20 0 9 0 17 18 19 0 11 12 17 0 1 10 11 10 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 17 12 13 16 16 13 14 15\n"
+ "20 0 9 0 13 18 19 0 11 12 13 0 1 10 11 10 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 13 14 17 18 17 14 15 16\n"
+ "20 0 9 0 13 18 19 0 11 12 13 0 1 10 11 10 1 2 9 9 2 7 8 2 3 6 7 6 3 4 5 13 14 15 18 18 15 16 17\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 4 11 11 4 9 10 4 5 8 9 8 5 6 7\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 4 11 11 4 9 10 4 5 6 9 9 6 7 8\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 4 11 11 4 7 10 4 5 6 7 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 9 10 2 3 4 9 9 4 7 8 4 5 6 7 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 11 11 2 9 10 2 3 4 9 9 4 7 8 4 5 6 7 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 2 11 11 2 9 10 2 3 4 9 9 4 7 8 4 5 6 7 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 2 11 11 2 9 10 2 3 4 9 9 4 7 8 4 5 6 7 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 11 11 2 9 10 2 3 4 9 9 4 7 8 4 5 6 7 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 9 10 2 3 4 9 9 4 7 8 4 5 6 7 15 16 17 18\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 4 11 11 4 5 10 10 5 8 9 5 6 7 8\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 11 12 2 3 4 11 11 4 5 10 10 5 6 9 9 6 7 8\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 9 10 2 3 4 9 9 4 5 8 8 5 6 7 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 11 11 2 9 10 2 3 4 9 9 4 5 8 8 5 6 7 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 2 11 11 2 9 10 2 3 4 9 9 4 5 8 8 5 6 7 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 2 11 11 2 9 10 2 3 4 9 9 4 5 8 8 5 6 7 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 11 11 2 9 10 2 3 4 9 9 4 5 8 8 5 6 7 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 9 10 2 3 4 9 9 4 5 8 8 5 6 7 15 16 17 18\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 7 8 2 3 4 7 7 4 5 6 13 8 9 12 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 2 11 11 2 7 8 2 3 4 7 7 4 5 6 11 8 9 10 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 11 11 2 7 8 2 3 4 7 7 4 5 6 11 8 9 10 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 11 11 2 7 8 2 3 4 7 7 4 5 6 11 8 9 10 15 16 17 18\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 9 9 2 7 8 2 3 4 7 7 4 5 6 14 9 10 13 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 9 9 2 7 8 2 3 4 7 7 4 5 6 12 9 10 11 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 9 9 2 7 8 2 3 4 7 7 4 5 6 12 9 10 11 15 16 17 18\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 10 15 10 1 2 9 9 2 7 8 2 3 4 7 7 4 5 6 15 10 11 14 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 10 13 10 1 2 9 9 2 7 8 2 3 4 7 7 4 5 6 13 10 11 12 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 11 16 17 0 1 10 11 10 1 2 9 9 2 7 8 2 3 4 7 7 4 5 6 16 11 12 15 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 11 16 17 0 1 10 11 10 1 2 9 9 2 7 8 2 3 4 7 7 4 5 6 16 11 12 13 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 11 14 17 0 1 10 11 10 1 2 9 9 2 7 8 2 3 4 7 7 4 5 6 14 11 12 13 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 11 12 17 0 1 10 11 10 1 2 9 9 2 7 8 2 3 4 7 7 4 5 6 17 12 15 16 12 13 14 15\n"
+ "20 0 9 0 17 18 19 0 11 12 17 0 1 10 11 10 1 2 9 9 2 7 8 2 3 4 7 7 4 5 6 17 12 13 16 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 5 12 2 3 4 5 12 5 6 11 11 6 7 10 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 5 12 2 3 4 5 12 5 6 11 11 6 7 8 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 5 12 2 3 4 5 12 5 6 9 9 6 7 8 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 5 10 2 3 4 5 10 5 6 9 9 6 7 8 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 11 11 2 5 10 2 3 4 5 10 5 6 9 9 6 7 8 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 2 11 11 2 5 10 2 3 4 5 10 5 6 9 9 6 7 8 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 2 11 11 2 5 10 2 3 4 5 10 5 6 9 9 6 7 8 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 11 11 2 5 10 2 3 4 5 10 5 6 9 9 6 7 8 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 5 12 2 3 4 5 12 5 6 7 12 7 10 11 7 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 5 12 2 3 4 5 12 5 6 7 12 7 8 11 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 12 15 12 1 2 11 11 2 5 10 2 3 4 5 10 5 6 7 10 7 8 9 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 2 11 11 2 5 10 2 3 4 5 10 5 6 7 10 7 8 9 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 11 11 2 5 10 2 3 4 5 10 5 6 7 10 7 8 9 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 5 8 2 3 4 5 8 5 6 7 13 8 9 12 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 13 16 17 0 1 12 13 12 1 2 11 11 2 5 8 2 3 4 5 8 5 6 7 11 8 9 10 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 11 11 2 5 8 2 3 4 5 8 5 6 7 11 8 9 10 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 9 9 2 5 8 2 3 4 5 8 5 6 7 14 9 10 13 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 12 13 12 1 2 9 9 2 5 8 2 3 4 5 8 5 6 7 12 9 10 11 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 10 15 10 1 2 9 9 2 5 8 2 3 4 5 8 5 6 7 15 10 11 14 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 11 16 17 0 1 10 11 10 1 2 9 9 2 5 8 2 3 4 5 8 5 6 7 16 11 12 15 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 11 16 17 0 1 10 11 10 1 2 9 9 2 5 8 2 3 4 5 8 5 6 7 16 11 12 13 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 5 6 2 3 4 5 13 6 11 12 6 7 10 11 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 5 6 2 3 4 5 13 6 11 12 6 7 8 11 11 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 5 6 2 3 4 5 13 6 9 12 6 7 8 9 12 9 10 11\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 5 6 2 3 4 5 13 6 7 12 12 7 10 11 7 8 9 10\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 13 13 2 5 6 2 3 4 5 13 6 7 12 12 7 8 11 11 8 9 10\n"
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+ "20 0 9 0 11 18 19 0 9 10 11 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7 11 12 13 18 18 13 16 17 13 14 15 16\n"
+ "20 0 9 0 11 18 19 0 9 10 11 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7 11 12 13 18 18 13 14 17 17 14 15 16\n"
+ "20 0 9 0 11 14 19 0 9 10 11 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7 11 12 13 14 14 15 18 19 18 15 16 17\n"
+ "20 0 9 0 11 12 19 0 9 10 11 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7 12 17 18 19 12 13 16 17 16 13 14 15\n"
+ "20 0 9 0 11 12 19 0 9 10 11 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7 12 17 18 19 12 13 14 17 17 14 15 16\n"
+ "20 0 9 0 11 12 19 0 9 10 11 0 1 8 9 8 1 2 5 5 2 3 4 8 5 6 7 12 15 18 19 12 13 14 15 18 15 16 17\n"
+ "20 0 9 0 17 18 19 0 13 14 17 0 1 6 13 6 1 2 5 5 2 3 4 13 6 7 12 12 7 8 11 11 8 9 10 17 14 15 16\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 6 13 6 1 2 5 5 2 3 4 13 6 7 12 12 7 8 11 11 8 9 10 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 6 13 6 1 2 5 5 2 3 4 13 6 7 12 12 7 8 11 11 8 9 10 16 17 18 19\n"
+ "20 0 9 0 17 18 19 0 11 12 17 0 1 6 11 6 1 2 5 5 2 3 4 11 6 7 10 10 7 8 9 17 12 13 16 16 13 14 15\n"
+ "20 0 9 0 15 16 19 0 11 12 15 0 1 6 11 6 1 2 5 5 2 3 4 11 6 7 10 10 7 8 9 15 12 13 14 16 17 18 19\n"
+ "20 0 9 0 13 18 19 0 11 12 13 0 1 6 11 6 1 2 5 5 2 3 4 11 6 7 10 10 7 8 9 13 14 17 18 17 14 15 16\n"
+ "20 0 9 0 13 18 19 0 11 12 13 0 1 6 11 6 1 2 5 5 2 3 4 11 6 7 10 10 7 8 9 13 14 15 18 18 15 16 17\n"
+ "20 0 9 0 13 16 19 0 11 12 13 0 1 6 11 6 1 2 5 5 2 3 4 11 6 7 10 10 7 8 9 13 14 15 16 16 17 18 19\n"
+ "20 0 9 0 13 14 19 0 11 12 13 0 1 6 11 6 1 2 5 5 2 3 4 11 6 7 10 10 7 8 9 14 17 18 19 14 15 16 17\n"
+ "20 0 9 0 13 14 19 0 11 12 13 0 1 6 11 6 1 2 5 5 2 3 4 11 6 7 10 10 7 8 9 14 15 18 19 18 15 16 17\n"
+ "20 0 9 0 13 14 19 0 9 10 13 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 13 10 11 12 14 15 18 19 18 15 16 17\n"
+ "20 0 9 0 11 18 19 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 11 12 17 18 17 12 13 16 16 13 14 15\n"
+ "20 0 9 0 11 18 19 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 11 12 17 18 17 12 13 14 17 14 15 16\n"
+ "20 0 9 0 11 18 19 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 11 12 15 18 15 12 13 14 18 15 16 17\n"
+ "20 0 9 0 11 16 19 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 11 12 15 16 15 12 13 14 16 17 18 19\n"
+ "20 0 9 0 11 18 19 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 11 12 13 18 18 13 16 17 13 14 15 16\n"
+ "20 0 9 0 11 18 19 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 11 12 13 18 18 13 14 17 17 14 15 16\n"
+ "20 0 9 0 11 14 19 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 11 12 13 14 14 15 18 19 18 15 16 17\n"
+ "20 0 9 0 11 12 19 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 12 17 18 19 12 13 16 17 16 13 14 15\n"
+ "20 0 9 0 11 12 19 0 9 10 11 0 1 6 9 6 1 2 5 5 2 3 4 9 6 7 8 12 17 18 19 12 13 14 17 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 7 14 17 0 1 6 7 6 1 2 5 5 2 3 4 14 7 8 13 13 8 9 12 12 9 10 11 17 14 15 16\n"
+ "20 0 9 0 15 16 19 0 7 14 15 0 1 6 7 6 1 2 5 5 2 3 4 14 7 8 13 13 8 9 12 12 9 10 11 16 17 18 19\n"
+ "20 0 9 0 17 18 19 0 7 16 17 0 1 6 7 6 1 2 5 5 2 3 4 16 7 8 11 11 8 9 10 16 11 12 15 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 7 12 17 0 1 6 7 6 1 2 5 5 2 3 4 12 7 8 11 11 8 9 10 17 12 13 16 16 13 14 15\n"
+ "20 0 9 0 15 16 19 0 7 12 15 0 1 6 7 6 1 2 5 5 2 3 4 12 7 8 11 11 8 9 10 15 12 13 14 16 17 18 19\n"
+ "20 0 9 0 17 18 19 0 7 16 17 0 1 6 7 6 1 2 5 5 2 3 4 16 7 8 9 16 9 14 15 9 10 13 14 13 10 11 12\n"
+ "20 0 9 0 17 18 19 0 7 16 17 0 1 6 7 6 1 2 5 5 2 3 4 16 7 8 9 16 9 14 15 9 10 11 14 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 7 16 17 0 1 6 7 6 1 2 5 5 2 3 4 16 7 8 9 16 9 12 15 9 10 11 12 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 7 16 17 0 1 6 7 6 1 2 5 5 2 3 4 16 7 8 9 16 9 10 15 15 10 13 14 10 11 12 13\n"
+ "20 0 9 0 17 18 19 0 7 16 17 0 1 6 7 6 1 2 5 5 2 3 4 16 7 8 9 16 9 10 15 15 10 11 14 14 11 12 13\n"
+ "20 0 9 0 17 18 19 0 7 10 17 0 1 6 7 6 1 2 5 5 2 3 4 10 7 8 9 17 10 11 16 16 11 12 15 15 12 13 14\n"
+ "20 0 9 0 15 16 19 0 7 8 15 0 1 6 7 6 1 2 5 5 2 3 4 15 8 9 14 14 9 10 13 13 10 11 12 16 17 18 19\n"
+ "20 0 9 0 9 18 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 9 10 17 18 17 10 11 12 17 12 15 16 12 13 14 15\n"
+ "20 0 9 0 9 18 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 9 10 17 18 17 10 11 12 17 12 13 16 16 13 14 15\n"
+ "20 0 9 0 9 18 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 9 10 13 18 13 10 11 12 18 13 14 17 17 14 15 16\n"
+ "20 0 9 0 9 18 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 9 10 11 18 18 11 16 17 11 12 15 16 15 12 13 14\n"
+ "20 0 9 0 9 18 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 9 10 11 18 18 11 16 17 11 12 13 16 16 13 14 15\n"
+ "20 0 9 0 9 18 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 9 10 11 18 18 11 14 17 11 12 13 14 17 14 15 16\n"
+ "20 0 9 0 9 18 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 9 10 11 18 18 11 12 17 17 12 15 16 12 13 14 15\n"
+ "20 0 9 0 9 18 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 9 10 11 18 18 11 12 17 17 12 13 16 16 13 14 15\n"
+ "20 0 9 0 9 10 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 10 17 18 19 10 11 16 17 16 11 12 15 15 12 13 14\n"
+ "20 0 9 0 9 10 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 10 17 18 19 10 11 16 17 16 11 12 13 16 13 14 15\n"
+ "20 0 9 0 9 10 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 10 17 18 19 10 11 14 17 14 11 12 13 17 14 15 16\n"
+ "20 0 9 0 9 10 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 10 17 18 19 10 11 12 17 17 12 15 16 12 13 14 15\n"
+ "20 0 9 0 9 10 19 0 7 8 9 0 1 6 7 6 1 2 5 5 2 3 4 10 17 18 19 10 11 12 17 17 12 13 16 16 13 14 15\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 3 14 3 12 13 3 4 11 12 11 4 5 6 11 6 9 10 6 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 3 14 3 12 13 3 4 11 12 11 4 5 6 11 6 7 10 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 3 14 3 12 13 3 4 7 12 7 4 5 6 12 7 8 11 11 8 9 10\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 3 12 3 10 11 3 4 7 10 7 4 5 6 10 7 8 9 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 2 3 12 3 10 11 3 4 7 10 7 4 5 6 10 7 8 9 16 17 18 19\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 3 12 3 8 11 3 4 7 8 7 4 5 6 11 8 9 10 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 2 3 12 3 8 11 3 4 7 8 7 4 5 6 11 8 9 10 16 17 18 19\n"
+ "20 0 9 0 13 18 19 0 11 12 13 0 1 10 11 10 1 2 3 10 3 8 9 3 4 7 8 7 4 5 6 13 14 17 18 17 14 15 16\n"
+ "20 0 9 0 13 18 19 0 11 12 13 0 1 10 11 10 1 2 3 10 3 8 9 3 4 7 8 7 4 5 6 13 14 15 18 18 15 16 17\n"
+ "20 0 9 0 13 16 19 0 11 12 13 0 1 10 11 10 1 2 3 10 3 8 9 3 4 7 8 7 4 5 6 13 14 15 16 16 17 18 19\n"
+ "20 0 9 0 13 14 19 0 11 12 13 0 1 10 11 10 1 2 3 10 3 8 9 3 4 7 8 7 4 5 6 14 17 18 19 14 15 16 17\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 3 14 3 12 13 3 4 5 12 12 5 10 11 5 6 9 10 9 6 7 8\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 3 14 3 12 13 3 4 5 12 12 5 10 11 5 6 7 10 10 7 8 9\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 3 14 3 12 13 3 4 5 12 12 5 8 11 5 6 7 8 11 8 9 10\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 3 12 3 10 11 3 4 5 10 10 5 8 9 5 6 7 8 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 2 3 12 3 10 11 3 4 5 10 10 5 8 9 5 6 7 8 16 17 18 19\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 3 14 3 12 13 3 4 5 12 12 5 6 11 11 6 9 10 6 7 8 9\n"
+ "20 0 9 0 15 18 19 0 13 14 15 0 1 12 13 12 1 2 3 12 3 10 11 3 4 5 10 10 5 6 9 9 6 7 8 15 16 17 18\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 2 3 12 3 10 11 3 4 5 10 10 5 6 9 9 6 7 8 16 17 18 19\n"
+ "20 0 9 0 13 18 19 0 11 12 13 0 1 10 11 10 1 2 3 10 3 8 9 3 4 5 8 8 5 6 7 13 14 15 18 18 15 16 17\n"
+ "20 0 9 0 13 16 19 0 11 12 13 0 1 10 11 10 1 2 3 10 3 8 9 3 4 5 8 8 5 6 7 13 14 15 16 16 17 18 19\n"
+ "20 0 9 0 13 14 19 0 11 12 13 0 1 10 11 10 1 2 3 10 3 8 9 3 4 5 8 8 5 6 7 14 17 18 19 14 15 16 17\n"
+ "20 0 9 0 13 16 19 0 11 12 13 0 1 10 11 10 1 2 3 10 3 6 9 3 4 5 6 9 6 7 8 13 14 15 16 16 17 18 19\n"
+ "20 0 9 0 13 14 19 0 11 12 13 0 1 10 11 10 1 2 3 10 3 6 9 3 4 5 6 9 6 7 8 14 17 18 19 14 15 16 17\n"
+ "20 0 9 0 11 12 19 0 9 10 11 0 1 8 9 8 1 2 3 8 3 6 7 3 4 5 6 12 17 18 19 12 13 16 17 16 13 14 15\n"
+ "20 0 9 0 11 12 19 0 9 10 11 0 1 8 9 8 1 2 3 8 3 6 7 3 4 5 6 12 17 18 19 12 13 14 17 17 14 15 16\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 14 15 14 1 2 3 14 3 4 13 13 4 11 12 4 5 10 11 10 5 6 7 10 7 8 9\n"
+ "20 0 9 0 15 16 19 0 13 14 15 0 1 12 13 12 1 2 3 12 3 4 11 11 4 9 10 4 5 8 9 8 5 6 7 16 17 18 19\n"
+ "20 0 9 0 11 18 19 0 9 10 11 0 1 4 9 4 1 2 3 9 4 5 8 8 5 6 7 11 12 15 18 15 12 13 14 18 15 16 17\n"
+ "20 0 9 0 11 16 19 0 9 10 11 0 1 4 9 4 1 2 3 9 4 5 8 8 5 6 7 11 12 15 16 15 12 13 14 16 17 18 19\n"
+ "20 0 9 0 11 18 19 0 9 10 11 0 1 4 9 4 1 2 3 9 4 5 8 8 5 6 7 11 12 13 18 18 13 16 17 13 14 15 16\n"
+ "20 0 9 0 11 18 19 0 9 10 11 0 1 4 9 4 1 2 3 9 4 5 8 8 5 6 7 11 12 13 18 18 13 14 17 17 14 15 16\n"
+ "20 0 9 0 9 18 19 0 7 8 9 0 1 4 7 4 1 2 3 7 4 5 6 9 10 11 18 18 11 16 17 11 12 15 16 15 12 13 14\n"
+ "20 0 9 0 9 18 19 0 7 8 9 0 1 4 7 4 1 2 3 7 4 5 6 9 10 11 18 18 11 16 17 11 12 13 16 16 13 14 15\n"
+ "20 0 9 0 9 18 19 0 7 8 9 0 1 4 7 4 1 2 3 7 4 5 6 9 10 11 18 18 11 14 17 11 12 13 14 17 14 15 16\n"
+ "20 0 9 0 15 16 19 0 5 10 15 0 1 4 5 4 1 2 3 10 5 6 9 9 6 7 8 15 10 11 14 14 11 12 13 16 17 18 19\n"
+ "20 0 9 0 7 18 19 0 5 6 7 0 1 4 5 4 1 2 3 7 8 9 18 18 9 16 17 9 10 11 16 16 11 14 15 11 12 13 14\n"
+ "20 0 9 0 7 18 19 0 5 6 7 0 1 4 5 4 1 2 3 7 8 9 18 18 9 16 17 9 10 11 16 16 11 12 15 15 12 13 14\n"
+ "20 0 9 0 17 18 19 0 15 16 17 0 1 2 15 15 2 13 14 2 3 4 13 13 4 11 12 4 5 6 11 11 6 9 10 6 7 8 9\n"
+ "20 0 9 0 17 18 19 0 1 16 17 16 1 2 15 15 2 3 14 14 3 4 13 13 4 5 12 12 5 6 11 11 6 7 10 10 7 8 9\n"
+;
+
+void diskQuadrangulationConcat(std::string& data) {
+ data = data + std::string(data_dqrgl_block0) + std::string(data_dqrgl_block1)
+ + std::string(data_dqrgl_block2) + std::string(data_dqrgl_block3) +
+ std::string(data_dqrgl_block4) + std::string(data_dqrgl_block5) +
+ std::string(data_dqrgl_block6) + std::string(data_dqrgl_block7) +
+ std::string(data_dqrgl_block8) + std::string(data_dqrgl_block9) +
+ std::string(data_dqrgl_block10) + std::string(data_dqrgl_block11) +
+ std::string(data_dqrgl_block12) + std::string(data_dqrgl_block13) +
+ std::string(data_dqrgl_block14) + std::string(data_dqrgl_block15) +
+ std::string(data_dqrgl_block16) + std::string(data_dqrgl_block17) +
+ std::string(data_dqrgl_block18) + std::string(data_dqrgl_block19) +
+ std::string(data_dqrgl_block20) + std::string(data_dqrgl_block21) +
+ std::string(data_dqrgl_block22) + std::string(data_dqrgl_block23) +
+ std::string(data_dqrgl_block24) + std::string(data_dqrgl_block25) +
+ std::string(data_dqrgl_block26) + std::string(data_dqrgl_block27) +
+ std::string(data_dqrgl_block28) + std::string(data_dqrgl_block29) +
+ std::string(data_dqrgl_block30) + std::string(data_dqrgl_block31) ;
+};
+
diff --git a/contrib/QuadMeshingTools/geolog.cpp b/contrib/QuadMeshingTools/geolog.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..ab3b77b62926366da11f270502f4e11459940b9c
--- /dev/null
+++ b/contrib/QuadMeshingTools/geolog.cpp
@@ -0,0 +1,353 @@
+#include "geolog.h"
+#include <iostream>
+#include <fstream>
+#include <unordered_map>
+
+#define GMSH_LINKED
+#if defined(GMSH_LINKED)
+ #include "gmsh.h"
+ #include "Context.h"
+ #include "MVertex.h"
+ #include "MElement.h"
+ #include "MTriangle.h"
+ #include "MQuadrangle.h"
+#endif
+
+
+
+namespace GeoLog {
+ std::vector<View> views; /* global variable instanciation */
+
+ vec3 geolog_points_center(const std::vector<vec3>& pts) {
+ if (pts.size() == 0) return {0.,0.,0.};
+ vec3 center = {0.,0.,0.};
+ for (size_t i = 0; i < pts.size(); ++i) {
+ for (size_t d = 0; d < 3; ++d) {
+ center[d] = center[d] + pts[i][d];
+ }
+ }
+ for (size_t d = 0; d < 3; ++d) {
+ center[d] = 1./double(pts.size()) * center[d];
+ }
+ return center;
+ }
+
+ View& get_global_view(const std::string& name) {
+ bool found = false;
+ for (size_t i = 0; i < views.size() && !found; ++i) {
+ if (views[i].name == name) {
+ return views[i];
+ }
+ }
+ View nv;
+ nv.name = name;
+ views.push_back(nv);
+ return views.back();
+ }
+
+ bool add(const std::vector<vec3>& pts, const std::vector<double>& values, const std::string& view, bool isCell) {
+ if (pts.size() == 0) return false;
+ GObj obj;
+ obj.pts.resize(pts.size());
+ obj.values.resize(pts.size());
+ obj.isVector = false;
+ obj.isCell = isCell;
+ for (size_t i = 0; i < pts.size(); ++i) {
+ obj.pts[i] = pts[i];
+ if (values.size() == 0) {
+ obj.values[i] = 0.;
+ } else if (values.size() == pts.size()) {
+ obj.values[i] = values[i];
+ } else {
+ obj.values[i] = values[0];
+ }
+ }
+ View& V = get_global_view(view);
+ V.objs.push_back(obj);
+ return true;
+ }
+
+ bool add(vec3 p, double value, const std::string& view) {
+ return add(std::vector<vec3>{p},std::vector<double>{value}, view, false);
+ }
+
+ bool add(const std::vector<vec3>& pts, double value, const std::string& view, bool isCell) {
+ return add(pts,std::vector<double>{value}, view, isCell);
+ }
+
+ double geolog_norm(vec3 a) {
+ return std::sqrt(a[0]*a[0]+a[1]*a[1]+a[2]*a[2]);
+ }
+
+ bool add(vec3 p, vec3 n, const std::string& view) {
+ GObj obj;
+ obj.isVector = true;
+ obj.isCell = false;
+ obj.pts.resize(1);
+ obj.values.resize(3);
+ obj.pts[0] = p;
+ obj.values[0] = n[0];
+ obj.values[1] = n[1];
+ obj.values[2] = n[2];
+ View& V = get_global_view(view);
+ V.objs.push_back(obj);
+ return true;
+ }
+
+ bool add(const std::vector<vec3>& pts, vec3 n, const std::string& view) {
+ if (pts.size() == 0) return false;
+ vec3 center = geolog_points_center(pts);
+ return add(center, n, view);
+ }
+
+
+ bool add(vec3 p, const std::string& text, const std::string& view) {
+ GObj obj;
+ obj.isVector = false;
+ obj.isCell = false;
+ obj.pts.resize(1);
+ obj.pts[0] = p;
+ obj.text = text;
+ View& V = get_global_view(view);
+ V.objs.push_back(obj);
+ return true;
+ }
+
+ bool add(const std::vector<vec3>& pts, const std::string& text, const std::string& view) {
+ if (pts.size() == 0) return false;
+ vec3 center = geolog_points_center(pts);
+ return add(center, text, view);
+ }
+
+ bool add(const std::vector<MElement*>& elements, const std::string& view) {
+#if defined(GMSH_LINKED)
+ View& V = get_global_view(view);
+ size_t e0 = V.objs.size();
+ V.objs.resize(V.objs.size()+elements.size());
+ for (size_t i = 0; i < elements.size(); ++i) {
+ MElement* elt = elements[i];
+ if (elt == nullptr) continue;
+ size_t nv = elt->getNumVertices();
+ V.objs[e0+i].isVector = false;
+ V.objs[e0+i].isCell = false;
+ if (elt->getDim() == 3) {
+ V.objs[e0+i].isCell = true;
+ }
+ V.objs[e0+i].pts.resize(nv);
+ V.objs[e0+i].values.resize(nv,0.);
+ for (size_t lv = 0; lv < nv; ++lv) {
+ MVertex* v = elt->getVertex(lv);
+ V.objs[e0+i].pts[lv][0] = v->x();
+ V.objs[e0+i].pts[lv][1] = v->y();
+ V.objs[e0+i].pts[lv][2] = v->z();
+ }
+ }
+
+ return true;
+#endif
+ return false;
+ }
+
+ bool add(const std::vector<MElement*>& elements, const std::unordered_map<MVertex*,double>& field, const std::string& view) {
+#if defined(GMSH_LINKED)
+ View& V = get_global_view(view);
+ size_t e0 = V.objs.size();
+ V.objs.resize(V.objs.size()+elements.size());
+ for (size_t i = 0; i < elements.size(); ++i) {
+ MElement* elt = elements[i];
+ if (elt == nullptr) continue;
+ size_t nv = elt->getNumVertices();
+ V.objs[e0+i].isVector = false;
+ V.objs[e0+i].isCell = false;
+ if (elt->getDim() == 3) {
+ V.objs[e0+i].isCell = true;
+ }
+ V.objs[e0+i].pts.resize(nv);
+ V.objs[e0+i].values.resize(nv,0.);
+ for (size_t lv = 0; lv < nv; ++lv) {
+ MVertex* v = elt->getVertex(lv);
+ V.objs[e0+i].pts[lv][0] = v->x();
+ V.objs[e0+i].pts[lv][1] = v->y();
+ V.objs[e0+i].pts[lv][2] = v->z();
+ auto it = field.find(v);
+ if (it != field.end()) {
+ V.objs[e0+i].values[lv] = it->second;
+ }
+ }
+ }
+
+ return true;
+#endif
+ return false;
+ }
+
+ bool add(const std::vector<MElement*>& elements, const std::vector<std::vector<double> >& field, const std::string& view) {
+#if defined(GMSH_LINKED)
+ if (elements.size() != field.size()) return false;
+ View& V = get_global_view(view);
+ size_t e0 = V.objs.size();
+ V.objs.resize(V.objs.size()+elements.size());
+ for (size_t i = 0; i < elements.size(); ++i) {
+ MElement* elt = elements[i];
+ if (elt == nullptr) continue;
+ size_t nv = elt->getNumVertices();
+ if (field[i].size() != nv) return false;
+ V.objs[e0+i].isVector = false;
+ V.objs[e0+i].isCell = false;
+ if (elt->getDim() == 3) {
+ V.objs[e0+i].isCell = true;
+ }
+ V.objs[e0+i].pts.resize(nv);
+ V.objs[e0+i].values.resize(nv,0.);
+ for (size_t lv = 0; lv < nv; ++lv) {
+ MVertex* v = elt->getVertex(lv);
+ V.objs[e0+i].pts[lv][0] = v->x();
+ V.objs[e0+i].pts[lv][1] = v->y();
+ V.objs[e0+i].pts[lv][2] = v->z();
+ V.objs[e0+i].values[lv] = field[i][lv];
+ }
+ }
+
+ return true;
+#endif
+ return false;
+
+ }
+
+ std::string gobj_type(const GObj& obj) {
+ if (obj.pts.size() == 1 && obj.isVector) {
+ return "VP";
+ } else if (obj.pts.size() == 1 && obj.text.size() > 0) {
+ return "text";
+ } else if (obj.pts.size() == 1 && obj.values.size() == 1) {
+ return "SP";
+ } else if (obj.pts.size() == 2) {
+ return "SL";
+ } else if (obj.pts.size() == 3) {
+ return "ST";
+ } else if (obj.pts.size() == 4 && !obj.isCell) {
+ return "SQ";
+ } else if (obj.pts.size() == 4 && obj.isCell) {
+ return "SS";
+ } else if (obj.pts.size() == 5 && !obj.isCell) {
+ return "ST"; /* triangulation of polygon */
+ } else if (obj.pts.size() == 5 && obj.isCell) {
+ return "SY";
+ } else if (obj.pts.size() == 6 && !obj.isCell) {
+ return "ST"; /* triangulation of polygon */
+ } else if (obj.pts.size() == 6 && obj.isCell) {
+ return "SI";
+ } else if (obj.pts.size() == 7 && !obj.isCell) {
+ return "ST"; /* triangulation of polygon */
+ } else if (obj.pts.size() == 8 && !obj.isCell) {
+ return "ST"; /* triangulation of polygon */
+ } else if (obj.pts.size() == 8 && obj.isCell) {
+ return "SH";
+ } else if (obj.pts.size() > 8 && !obj.isCell) {
+ return "ST"; /* triangulation of polygon */
+ }
+ return "";
+ }
+
+ bool prepare_data(const GObj& obj, const std::string& ty, std::vector<double>& data, int& numElem) {
+ size_t N = obj.pts.size();
+ if (ty == "ST" && N > 3) { /* Require triangulation of polygon */
+ vec3 center = geolog_points_center(obj.pts);
+ for (size_t i = 0; i < obj.pts.size(); ++i) {
+ vec3 p1 = obj.pts[i];
+ vec3 p2 = obj.pts[(i+1)%obj.pts.size()];
+ double vmid = 0.5*(obj.values[i]+obj.values[(i+1)%obj.pts.size()]);
+ std::vector<vec3> tri_pts = {p1,p2,center};
+ std::vector<double> tri_values = {obj.values[i],obj.values[(i+1)%obj.pts.size()],vmid};
+ for (size_t d = 0; d < 3; ++d) {
+ for (size_t lv = 0; lv < 3; ++lv) {
+ data.push_back(tri_pts[lv][d]);
+ }
+ }
+ for (size_t lv = 0; lv < 3; ++lv) {
+ data.push_back(tri_values[lv]);
+ }
+ numElem += 1;
+ }
+ } else {
+ for (size_t d = 0; d < 3; ++d) {
+ for (size_t lv = 0; lv < N; ++lv) {
+ data.push_back(obj.pts[lv][d]);
+ }
+ }
+ for (size_t lv = 0; lv < N; ++lv) {
+ data.push_back(obj.values[lv]);
+ }
+ numElem += 1;
+ }
+ return true;
+ }
+
+ bool export_to_gmsh() {
+#if defined(GMSH_LINKED)
+ for (size_t v = 0; v < views.size(); ++v) {
+ if (views[v].objs.size() == 0) continue;
+ std::unordered_map<std::string,std::vector<double>> data_TYPE;
+ std::unordered_map<std::string,int> numElem_TYPE;
+ std::vector<std::string> data_string;
+ for (size_t i = 0; i < views[v].objs.size(); ++i) {
+ const GObj& obj = views[v].objs[i];
+ if (obj.text.size() > 0 && obj.pts.size() == 1) {
+ for (size_t d = 0; d < 3; ++d) {
+ data_TYPE["text"].push_back(obj.pts[0][d]);
+ }
+ data_string.push_back(obj.text);
+ numElem_TYPE["text"] += 1;
+ } else if (obj.isVector && obj.pts.size() == 1 && obj.values.size() == 3) {
+ std::vector<double>& data = data_TYPE["VP"];
+ for (size_t d = 0; d < 3; ++d) {
+ data.push_back(obj.pts[0][d]);
+ }
+ for (size_t d = 0; d < 3; ++d) {
+ data.push_back(obj.values[d]);
+ }
+ numElem_TYPE["VP"] += 1;
+ } else if (obj.pts.size() > 0 && obj.values.size() == obj.pts.size()) {
+ std::string ty = gobj_type(obj);
+ if (ty == "") {
+ std::cerr << "in GeoLog::export_to_gmsh(), GObj content not supported" << std::endl;
+ return false;
+ }
+ std::vector<double>& data = data_TYPE[ty];
+ int& numElem = numElem_TYPE[ty];
+ prepare_data(obj, ty, data, numElem); /* will triangulate polygons */
+ } else {
+ std::cerr << "in GeoLog::export_to_gmsh(), GObj content not supported" << std::endl;
+ return false;
+ }
+ }
+
+
+ /* gmsh API calls */
+ int aboe = CTX::instance()->abortOnError;
+ gmsh::initialize(); /* changes abortOnError !! */
+ CTX::instance()->abortOnError = aboe;
+ int view = gmsh::view::add(views[v].name);
+ for (const auto& kv: data_TYPE) {
+ if (kv.first != "" && kv.first != "text") {
+ if (kv.second.size() > 0) gmsh::view::addListData(view, kv.first, numElem_TYPE[kv.first], kv.second);
+ }
+ }
+ if (data_string.size() > 0) {
+ gmsh::view::addListDataString(view, data_TYPE["text"], data_string);
+ }
+ }
+
+ return true;
+#else
+ return false;
+#endif
+ }
+
+ bool flush() {
+ export_to_gmsh();
+ views.clear();
+ return true;
+ }
+
+}
diff --git a/contrib/QuadMeshingTools/geolog.h b/contrib/QuadMeshingTools/geolog.h
new file mode 100644
index 0000000000000000000000000000000000000000..43e5cf830e18ee9dcd08a85a21f855019de09fe3
--- /dev/null
+++ b/contrib/QuadMeshingTools/geolog.h
@@ -0,0 +1,59 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#pragma once
+
+#include <vector>
+#include <unordered_map>
+#include <array>
+#include <string>
+
+class MElement;
+class MVertex;
+
+namespace GeoLog {
+ using vec3 = std::array<double,3>;
+
+ struct GObj {
+ std::vector<vec3> pts;
+ std::vector<double> values;
+ bool isCell = false;
+ bool isVector = false;
+ std::string text = "";
+ };
+
+ struct View {
+ std::string name;
+ std::vector<GObj> objs;
+ std::vector<std::pair<std::string,double>> optionsSetNumber;
+ };
+
+ /* Global variable */
+ extern std::vector<View> views;
+
+ /* Global functions (fill the global views) */
+ /* - scalar values */
+ bool add(vec3 p, double value, const std::string& view);
+ bool add(const std::vector<vec3>& pts, double value, const std::string& view, bool isCell = false);
+ bool add(const std::vector<vec3>& pts, const std::vector<double>& values, const std::string& view, bool isCell = false);
+ /* - vector value (vector at center if multiple points) */
+ bool add(vec3 p, vec3 n, const std::string& view);
+ bool add(const std::vector<vec3>& pts, vec3 n, const std::string& view);
+ /* - text value (text at center if multiple points) */
+ bool add(vec3 p, const std::string& text, const std::string& view);
+ bool add(const std::vector<vec3>& pts, const std::string& text, const std::string& view);
+
+ /* - interface for gmsh types */
+ bool add(const std::vector<MElement*>& elements, const std::string& view);
+ bool add(const std::vector<MElement*>& elements, const std::unordered_map<MVertex*,double>& field, const std::string& view);
+ bool add(const std::vector<MElement*>& elements, const std::vector<std::vector<double> >& field, const std::string& view);
+
+ View& get_global_view(const std::string& name);
+
+ /* Send the views to gmsh (deleting them in the process) */
+ bool flush();
+}
diff --git a/contrib/QuadMeshingTools/qmtCrossField.cpp b/contrib/QuadMeshingTools/qmtCrossField.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..df75ca9bd52bb4e0f0f832095b7540164a18724c
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtCrossField.cpp
@@ -0,0 +1,1729 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#include "qmtCrossField.h"
+
+/* System includes */
+#include <vector>
+#include <array>
+#include <unordered_map>
+#include <cstdint>
+#include <cmath>
+#include <algorithm>
+
+/* Gmsh includes */
+#include "GmshMessage.h"
+#include "OS.h"
+#include "MVertex.h"
+#include "MLine.h"
+#include "MTriangle.h"
+#include "gmsh.h"
+
+/* Linear algebra solver */
+#if defined(HAVE_EIGEN)
+ #include<Eigen/IterativeLinearSolvers>
+ #include<Eigen/SparseCholesky>
+ #include<Eigen/SparseLU>
+#endif
+#if defined(HAVE_SOLVER)
+ #include "dofManager.h"
+ #include "laplaceTerm.h"
+ #include "linearSystemGmm.h"
+ #include "linearSystemCSR.h"
+ #include "linearSystemFull.h"
+ #include "linearSystemPETSc.h"
+ #include "linearSystemMUMPS.h"
+ #include "linearSystemEigen.h"
+#endif
+
+/* QuadMeshingTools includes */
+#include "arrayGeometry.h"
+#include "cppUtils.h"
+#include "qmtMeshUtils.h"
+#include "geolog.h"
+
+
+/* TODO list:
+ * - Cross field smoother with a single Laplacian solve
+ * - Cross field smoother with a single factorization
+ * - MUMPS support
+ */
+
+using namespace ArrayGeometry;
+using namespace CppUtils;
+
+using std::vector;
+using std::unordered_map;
+using std::array;
+using std::pair;
+
+namespace QMT {
+
+ constexpr double EPS = 1.e-14;
+
+ using id = uint32_t;
+ using sid = int64_t;
+ using id2 = std::array<id,2>;
+ using id3 = std::array<id,3>;
+ using sid3 = std::array<sid,3>;
+ constexpr id NO_ID = (id) -1;
+ constexpr sid NO_SID = (sid) NO_ID;
+
+ struct IJV {
+ id2 ij;
+ double val;
+ bool operator<(const IJV& b) const { return ij[0] < b.ij[0] || (ij[0] == b.ij[0] && ij[1] < b.ij[1]); }
+ };
+
+ struct IV {
+ id i;
+ double val;
+ bool operator<(const IV& b) const { return i < b.i; }
+ };
+
+
+ class CrossFieldLinearSystem {
+ protected:
+ size_t N = 0;
+#if defined(HAVE_EIGEN)
+ Eigen::VectorXd x, b;
+ Eigen::SparseMatrix<double> A;
+ Eigen::SparseLU<Eigen::SparseMatrix<double> > solver;
+#endif
+
+ public:
+ CrossFieldLinearSystem(size_t N_):N(N_) {
+#if defined(HAVE_EIGEN)
+ Msg::Debug("Eigen call: initialize sparse matrix, vectors and solver");
+ x.resize(N);
+ x.fill(0.);
+ b.resize(N);
+ b.fill(0.);
+ A.resize(N,N);
+#else
+ Msg::Error("Linear solver Eigen required");
+#endif
+ }
+
+ bool add_sparse_coefficients(
+ const std::vector<std::vector<size_t>>& columns,
+ const std::vector<std::vector<double>>& values,
+ bool firstTime = false) {
+#if defined(HAVE_EIGEN)
+ // Msg::Debug("Eigen call: add coefficients");
+ std::vector<Eigen::Triplet<double,size_t> > triplets;
+ triplets.reserve(values.size());
+ if (firstTime) {
+ for (size_t i = 0; i < columns.size(); ++i) {
+ for (size_t k = 0; k < columns[i].size(); ++k) {
+ size_t j = columns[i][k];
+ double val = values[i][k];
+ triplets.push_back({i,j,val});
+ }
+ }
+ A.setFromTriplets(triplets.begin(),triplets.end());
+ } else {
+ for (size_t i = 0; i < columns.size(); ++i) {
+ for (size_t k = 0; k < columns[i].size(); ++k) {
+ size_t j = columns[i][k];
+ double val = values[i][k];
+ A.coeffRef(i,j) += val; /* entry (i,j) should already exists */
+ }
+ }
+ }
+ return true;
+#else
+ Msg::Error("Linear solver Eigen required");
+ return false;
+#endif
+ }
+
+ bool set_rhs_values(const std::vector<double>& rhs) {
+#if defined(HAVE_EIGEN)
+ // Msg::Debug("Eigen call: add rhs values");
+ for (size_t i = 0; i < rhs.size(); ++i) if (rhs[i] != 0.) {
+ b[i] = rhs[i];
+ }
+ return true;
+#else
+ Msg::Error("Linear solver Eigen required");
+ return false;
+#endif
+ }
+
+ bool preprocess_sparsity_pattern() {
+#if defined(HAVE_EIGEN)
+ Msg::Debug("Eigen call: analyse sparse matrix sparsity pattern");
+ solver.analyzePattern(A);
+ return true;
+#else
+ Msg::Error("Linear solver Eigen required");
+ return false;
+#endif
+ }
+
+ bool factorize() {
+#if defined(HAVE_EIGEN)
+ Msg::Debug("Eigen call: factorize sparse matrix");
+ solver.factorize(A);
+ return true;
+#else
+ Msg::Error("Linear solver Eigen required");
+ return false;
+#endif
+ }
+
+ bool solve(std::vector<double>& slt) {
+#if defined(HAVE_EIGEN)
+ Msg::Debug("Eigen call: solve linear system");
+ x = solver.solve(b);
+ if (solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("Eigen: failed to solve linear system with SparseLU (%li variables)", N);
+ return false;
+ }
+ slt.resize(x.size());
+ for (size_t i = 0; i < N; ++i) slt[i] = x[i];
+ return true;
+#else
+ Msg::Error("Linear solver Eigen required");
+ return false;
+#endif
+ }
+
+ };
+
+
+ bool compute_triangle_adjacencies(
+ const vector<id3>& triangles,
+ vector<sid3>& triangle_neighbors,
+ vector<vector<id>>& nm_triangle_neighbors,
+ vector<id2>& uIEdges,
+ vector<id>& old2IEdge,
+ vector<vector<id>>& uIEdgeToOld
+ ) {
+ triangle_neighbors.clear();
+ triangle_neighbors.resize(triangles.size(),{NO_ID,NO_ID,NO_ID});
+ nm_triangle_neighbors.clear();
+
+ constexpr size_t NBF = 3;
+
+ /* Store element 'faces', with duplicates for further 'equality test' */
+ std::vector<id2> faces;
+ for (size_t i = 0; i < triangles.size(); ++i) {
+ for (size_t lf = 0; lf < NBF; ++lf) {
+ id2 face = {triangles[i][lf],triangles[i][(lf+1)%NBF]};
+ std::sort(face.begin(),face.end());
+ faces.push_back(face);
+ }
+ }
+
+ /* Reduce 'duplicated faces' to 'unique faces', keeping the 'old2new' mapping */
+ size_t nbUniques = sort_unique_with_perm(faces, uIEdges, old2IEdge);
+
+ /* Build the 'unique face to elements' mapping */
+ uIEdgeToOld.resize(nbUniques);
+ for (size_t i = 0; i < triangles.size(); ++i) {
+ for (size_t lf = 0; lf < NBF; ++lf) {
+ id facePos = NBF*i+lf;
+ uIEdgeToOld[old2IEdge[facePos]].push_back(facePos);
+ }
+ }
+
+ /* Loop over 'unique face to elements' and set the element adjacencies */
+ constexpr id2 NO_FACE = {NO_ID,NO_ID};
+ for (size_t i = 0; i < nbUniques; ++i) {
+ if (uIEdges[i] == NO_FACE) continue;
+ if(uIEdges[i][0] == NO_ID) return false;
+ if(uIEdges[i][1] == NO_ID) return false;
+ if (uIEdgeToOld[i].size() == 1) { /* boundary */
+ id eltId = uIEdgeToOld[i][0] / NBF;
+ id lf = uIEdgeToOld[i][0] % NBF;
+ triangle_neighbors[eltId][lf] = NO_ID;
+ } else if (uIEdgeToOld[i].size() == 2) { /* regular face */
+ id e1 = uIEdgeToOld[i][0] / NBF;
+ id lf1 = uIEdgeToOld[i][0] % NBF;
+ id e2 = uIEdgeToOld[i][1] / NBF;
+ id lf2 = uIEdgeToOld[i][1] % NBF;
+ triangle_neighbors[e1][lf1] = NBF*e2+lf2;
+ triangle_neighbors[e2][lf2] = NBF*e1+lf1;
+ } else if (uIEdgeToOld[i].size() > 2) { /* non manifold face */
+ for (size_t j = 0; j < uIEdgeToOld[i].size(); ++j) {
+ id e = uIEdgeToOld[i][j] / NBF;
+ id lf = uIEdgeToOld[i][j] % NBF;
+ std::vector<id> neighs;
+ for (size_t k = 0; k < uIEdgeToOld[i].size(); ++k) {
+ if (uIEdgeToOld[i][k] != uIEdgeToOld[i][j]) {
+ neighs.push_back(uIEdgeToOld[i][k]);
+ }
+ }
+ neighs.shrink_to_fit();
+ id pos = nm_triangle_neighbors.size();
+ nm_triangle_neighbors.push_back(neighs);
+ triangle_neighbors[e][lf] = -((sid) pos + 1);
+ }
+ }
+ }
+
+ /* Reduce memory consumption */
+ triangle_neighbors.shrink_to_fit();
+ nm_triangle_neighbors.shrink_to_fit();
+
+ return true;
+ }
+
+ /* two unknowns (x_2i, x_2i+1) for each edge */
+ bool stiffness_coefficient(
+ int N,
+ const std::vector<std::array<double,3> >& points,
+ const std::vector<std::array<id,3> >& triangles,
+ id e,
+ const vector<id2>& uIEdges,
+ const vector<id>& old2IEdge,
+ const vector<vector<id>>& uIEdgeToOld,
+ vector<IV>& iv,
+ vector<IJV>& ijv) {
+ if (uIEdgeToOld[e].size() != 2) {
+ Msg::Error("assembly, edge %li: uIEdgeToOld[e].size() = %li", e, uIEdgeToOld[e].size());
+ return false;
+ }
+ /* edge vertices */
+ id v1 = uIEdges[e][0];
+ id v2 = uIEdges[e][1];
+ vec3 e_x = points[v2] - points[v1];
+ double lenr = length(e_x);
+ if (lenr < EPS) {
+ Msg::Error("edge too small: v1=%li, v2=%li, length = %e", v1, v2, lenr);
+ return false;
+ }
+ e_x = (1./lenr) * e_x;
+ /* four neighbor edges */
+ id bvars[4] = {NO_ID,NO_ID,NO_ID,NO_ID};
+ double alpha[4] = {0.,0.,0.,0.};
+ double CR_weight[4] = {-1./4,-1./4,-1./4,-1./4};
+ vec3 prevN;
+ for (size_t s = 0; s < 2; ++s) { /* two triangles */
+ id oe = uIEdgeToOld[e][s];
+ id t = oe / 3;
+ id le = oe % 3;
+ vec3 N = triangleNormal(points[triangles[t][0]],points[triangles[t][1]],points[triangles[t][2]]);
+ if (s == 1 && dot(prevN,N) < 0.) N = -1. * N;
+ prevN = N;
+ // N = {0,0,1};
+ vec3 e_y = cross(N,e_x);
+ if (maxAbs(e_y) == 0.) {
+ Msg::Error("length(e_y) = {}", length(e_y));
+ return false;
+ }
+ normalize(e_y);
+
+ for (size_t k = 0; k < 2; ++k) { /* two other edges in triangle t */
+ id aoe = 3*t+(le+1+k)%3;
+ id ae = old2IEdge[aoe];
+ id2 aedge = uIEdges[ae];
+
+ bvars[2*s+k] = ae;
+ vec3 edg = points[aedge[1]]-points[aedge[0]];
+ double len = length(edg);
+ if (len < EPS) {
+ Msg::Error("edge too small: t=%li, k = %li, edge=%li, length = %e", t, k, aedge, len);
+ return false;
+ }
+ edg = (1./len) * edg;
+
+ /* 360deg angle (used for the angle rotation) */
+ double cx = dot(edg,e_x);
+ double cy = dot(edg,e_y);
+ alpha[2*s+k] = atan2(cy,cx);
+ if (alpha[2*s+k] < 0.) alpha[2*s+k] += 2.*M_PI;
+
+ /* 180deg edge-edge angle (used for the Crouzeix Raviart) */
+ double agl = 0.;
+ if (aedge[0] == v1) {
+ agl = angleVectorsAlreadyNormalized(edg,e_x);
+ } else if (aedge[1] == v1) {
+ agl = angleVectorsAlreadyNormalized(edg, -1. * e_x);
+ } else if (aedge[0] == v2) {
+ agl = angleVectorsAlreadyNormalized(-1. * edg, e_x);
+ } else if (aedge[1] == v2) {
+ agl = angleVectorsAlreadyNormalized(-1. * edg, -1. * e_x);
+ } else {
+ Msg::Error("should not happen");
+ return false;
+ }
+ CR_weight[2*s+k] = -2. / tan(agl);
+ }
+ }
+ /* compute coefficients */
+ double isum = -1. * (CR_weight[0] + CR_weight[1] + CR_weight[2] + CR_weight[3]);
+ for (size_t k = 0; k < 4; ++k)
+ CR_weight[k] = CR_weight[k] / isum;
+
+ iv.clear();
+ ijv.clear();
+ id x_i = 2*e;
+ id y_i = 2*e+1;
+ iv.push_back({x_i,1.});
+ iv.push_back({y_i,1.});
+ double Nd = double(N);
+ for (size_t j = 0; j < 4; ++j) {
+ id x_j = 2*bvars[j];
+ id y_j = 2*bvars[j]+1;
+ ijv.push_back({{x_i,x_j},CR_weight[j] *cos(Nd*alpha[j])});
+ ijv.push_back({{x_i,y_j},CR_weight[j]*-1.*sin(Nd*alpha[j])});
+ ijv.push_back({{y_i,x_j},CR_weight[j] *sin(Nd*alpha[j])});
+ ijv.push_back({{y_i,y_j},CR_weight[j] *cos(Nd*alpha[j])});
+ }
+
+ return true;
+ }
+
+ bool prepare_system(
+ const vector<IV>& K_diag,
+ const vector<IJV>& K_coefs,
+ vector<vector<size_t>>& columns,
+ vector<vector<double>>& values) {
+ vector<IJV> coefs = K_coefs;
+ coefs.resize(coefs.size()+K_diag.size());
+ for (size_t i = 0; i < K_diag.size(); ++i) {
+ coefs[K_coefs.size()+i] = {{id(K_diag[i].i),id(K_diag[i].i)},K_diag[i].val};
+ }
+ std::sort(coefs.begin(),coefs.end());
+
+ size_t cur_i = coefs[0].ij[0];
+ size_t cur_j = coefs[0].ij[1];
+ double acc_val = coefs[0].val;
+ for (size_t k = 1; k < coefs.size(); ++k) {
+ id i = coefs[k].ij[0];
+ id j = coefs[k].ij[1];
+ double v = coefs[k].val;
+ if (i != cur_i) {
+ if (std::abs(acc_val) > EPS) {
+ columns[cur_i].push_back(cur_j);
+ values[cur_i].push_back(acc_val);
+ }
+ cur_i = i;
+ acc_val = v;
+ cur_j = j;
+ } else if (j != cur_j) {
+ if (std::abs(acc_val) > EPS) {
+ columns[cur_i].push_back(cur_j);
+ values[cur_i].push_back(acc_val);
+ }
+ cur_i = i;
+ acc_val = v;
+ cur_j = j;
+ } else {
+ acc_val += v;
+ }
+ }
+ if (std::abs(acc_val) > EPS) {
+ columns[cur_i].push_back(cur_j);
+ values[cur_i].push_back(acc_val);
+ }
+
+ return true;
+ }
+
+
+ bool expand_dirichlet_boundary_conditions(
+ int N,
+ const std::vector<std::array<double,3> >& points,
+ const std::vector<std::array<id,3> >& triangles,
+ const vector<id2>& uIEdges,
+ const vector<id>& old2IEdge,
+ const vector<vector<id>>& uIEdgeToOld,
+ size_t nb_layers,
+ vector<bool>& dirichletEdge,
+ vector<vec2>& dirichletValue,
+ int verbosity) {
+ /* Look for expanded BC edges */
+ vector<bool> extDirichletEdge = dirichletEdge;
+ vector<id> new_edges;
+ for (size_t layer = 0; layer < nb_layers; ++layer) {
+ for (size_t e = 0; e < uIEdges.size(); ++e) if (extDirichletEdge[e]) {
+ for (size_t i = 0; i < uIEdgeToOld[e].size(); ++i) {
+ id t = uIEdgeToOld[e][i] / 3;
+ for (size_t le = 0; le < 3; ++le) {
+ id oe2 = 3*t+le;
+ id e2 = old2IEdge[oe2];
+ if (!extDirichletEdge[e2]) {
+ new_edges.push_back(e2);
+ }
+ }
+ }
+ }
+ sort_unique(new_edges);
+ for (size_t i = 0; i < new_edges.size(); ++i) {
+ extDirichletEdge[new_edges[i]] = true;
+ }
+ }
+ if (new_edges.size() == 0) {
+ if (verbosity >= 2)
+ Msg::Warning("no new edges to expand dirichlet boundary conditions");
+ return false;
+ }
+
+ if (verbosity >= 2)
+ Msg::Info("Dirichlet B.C. expansion: added %li edges (for %li layers)", new_edges.size(), nb_layers);
+
+ /* Small system for BC expansion */
+ vector<IJV> K_coefs;
+ for (size_t k = 0; k < new_edges.size(); ++k) {
+ id e = new_edges[k];
+ vector<IV> iv;
+ vector<IJV> ijv;
+ bool oks = stiffness_coefficient(N, points, triangles, e, uIEdges, old2IEdge, uIEdgeToOld, iv, ijv);
+ if (!oks || iv.size() != 2 || iv[0].i != 2*e || iv[1].i != 2*e+1) {
+ Msg::Error("failed to get stiffness coefficients for edge e = %li", e);
+ return false;
+ }
+ /* Add coefficients for interaction i-j of edges in extDirichletEdge */
+ for (size_t l = 0; l < ijv.size(); ++l) if (extDirichletEdge[ijv[l].ij[1]/2]) {
+ K_coefs.push_back(ijv[l]);
+ }
+ }
+ vector<IV> K_diag;
+ vector<vector<size_t>> A_col(2*uIEdges.size());
+ vector<vector<double>> A_coef(2*uIEdges.size());
+ bool okp = prepare_system(K_diag, K_coefs, A_col, A_coef);
+ if (!okp) {
+ Msg::Error("failed to prepare system");
+ return false;
+ }
+
+ /* Explicit solver (local smoothing) */
+ for (size_t e = 0; e < uIEdges.size(); ++e) if (extDirichletEdge[e] && !dirichletEdge[e]) {
+ dirichletValue[e] = {0.,0.};
+ }
+ for (size_t iter = 0; iter < 10*nb_layers; ++iter) {
+ for (size_t e = 0; e < uIEdges.size(); ++e) if (extDirichletEdge[e] && !dirichletEdge[e]) {
+ for (size_t d = 0; d < 2; ++d) {
+ id i = 2*e+d;
+ dirichletValue[e][d] = 0.;
+ for (size_t l = 0; l < A_col[i].size(); ++l) {
+ id j = A_col[i][l];
+ if (!extDirichletEdge[j/2]) continue;
+ double w = A_coef[i][l];
+ dirichletValue[e][d] += -1. * w * dirichletValue[j/2][j%2];
+ }
+ }
+ double n2 = length(dirichletValue[e]);
+ if (n2 < EPS) {
+ continue;
+ }
+ dirichletValue[e][0] /= n2;
+ dirichletValue[e][1] /= n2;
+ }
+ }
+
+ /* Set expanded edges as Dirichlet edges */
+ for (size_t e = 0; e < uIEdges.size(); ++e) if (extDirichletEdge[e]
+ && !dirichletEdge[e] && length(dirichletValue[e]) > EPS) {
+ dirichletEdge[e] = true;
+ }
+
+ return true;
+ }
+
+ bool compute_cross_field_with_multilevel_diffusion(
+ int N,
+ const std::vector<std::array<double,3> >& points,
+ const std::vector<std::array<id,2> >& lines,
+ const std::vector<std::array<id,3> >& triangles,
+ std::vector<std::array<double,3> >& triEdgeTheta,
+ int nbDiffusionLevels,
+ double thresholdNormConvergence,
+ int nbBoundaryExtensionLayer,
+ int verbosity) {
+ if (N != 4 && N != 6) return false;
+
+ /* Build unique edges and association with adjacent triangles,
+ * including the non-manifold cases */
+ vector<id2> uIEdges;
+ vector<id> old2IEdge;
+ vector<vector<id>> uIEdgeToOld;
+ std::vector<sid3> triangle_neighbors;
+ std::vector<std::vector<id>> nm_triangle_neighbors;
+ bool oka = compute_triangle_adjacencies(triangles, triangle_neighbors, nm_triangle_neighbors, uIEdges, old2IEdge, uIEdgeToOld);
+ if (!oka) {
+ Msg::Error("failed to compute mesh adjacencies");
+ return false;
+ }
+
+ /* Bbox diagonal is used later to specify the diffusion length */
+ double diag = bboxDiag(points);
+ if (verbosity > 0)
+ Msg::Info("Heat-based cross field computation, input: %li points, %li lines, %li triangles, %li internal edges, bbox diag = %li", points.size(),lines.size(),triangles.size(),uIEdges.size(), diag);
+
+ if (uIEdges.size() == 0) {
+ Msg::Error("no internal edges");
+ return false;
+ }
+
+ /* System unknowns: cos(Nt),sin(Nt) for each edge */
+ vector<double> x(2*uIEdges.size(),0.);
+
+ /* Initial Dirichlet boundary conditions
+ * alignement of crosses with edges (relative angle = 0)
+ * theta_e = 0 => (cos4t/sin4t) = (1,0) */
+ size_t nbc = 0;
+ vector<bool> dirichletEdge(uIEdges.size(),false);
+ vector<vec2> dirichletValue(uIEdges.size(),{1.,0.});
+ for (size_t e = 0; e < uIEdges.size(); ++e) if (uIEdgeToOld[e].size() != 2) {
+ dirichletEdge[e] = true;
+ dirichletValue[e] = {1.,0.};
+ nbc += 1;
+ }
+ for (size_t l = 0; l < lines.size(); ++l) {
+ /* mark the lines as boundary conditions */
+ id2 edge = sorted(lines[l][0],lines[l][1]);
+ auto it = std::find(uIEdges.begin(),uIEdges.end(),edge);
+ if (it != uIEdges.end()) {
+ id e = id(it - uIEdges.begin());
+ dirichletEdge[e] = true;
+ dirichletValue[e] = {1.,0.};
+ nbc += 1;
+ }
+ }
+ if (verbosity >= 2)
+ Msg::Info("- boundary conditions: %li crosses fixed on edges", nbc);
+
+ if (nbBoundaryExtensionLayer > 0) {
+ bool oke = expand_dirichlet_boundary_conditions(N, points, triangles, uIEdges, old2IEdge, uIEdgeToOld, nbBoundaryExtensionLayer, dirichletEdge, dirichletValue, verbosity);
+ if (!oke) {
+ Msg::Warning("failed to expand dirichlet boundary conditions");
+ }
+ for (size_t e = 0; e < uIEdges.size(); ++e) {
+ x[2*e+0] = dirichletValue[e][0];
+ x[2*e+1] = dirichletValue[e][1];
+ }
+ }
+
+ if (verbosity >= 2)
+ Msg::Info("- compute stiffness matrix coefficients (Crouzeix-Raviart) ...");
+
+ vector<IV> K_diag;
+ vector<IJV> K_coefs;
+ vector<double> rhs(2*uIEdges.size(),0.);
+ vector<double> Mass(2*uIEdges.size(),1.); /* diagonal for Crouzeix-Raviart */
+ for (size_t e = 0; e < uIEdges.size(); ++e) {
+ if (!dirichletEdge[e]) {
+ vector<IV> iv;
+ vector<IJV> ijv;
+ bool oks = stiffness_coefficient(N, points, triangles, e, uIEdges, old2IEdge, uIEdgeToOld, iv, ijv);
+ if (!oks) {
+ Msg::Error("failed to compute stiffness matrix coefficients for e = %li", e);
+ return false;
+ }
+ for (size_t i = 0; i < iv.size(); ++i)
+ K_diag.push_back(iv[i]);
+ for (size_t i = 0; i < ijv.size(); ++i)
+ K_coefs.push_back(ijv[i]);
+ id t1 = uIEdgeToOld[e][0]/3;
+ id t2 = uIEdgeToOld[e][1]/3;
+ double area1 = triangleArea(points[triangles[t1][0]],points[triangles[t1][1]],points[triangles[t1][2]]);
+ double area2 = triangleArea(points[triangles[t2][0]],points[triangles[t2][1]],points[triangles[t2][2]]);
+ Mass[2*e+0] = 1./3 * (area1 + area2);
+ Mass[2*e+1] = 1./3 * (area1 + area2);
+ } else { /* Dirichlet BC */
+ K_diag.push_back({id(2*e+0),1.});
+ rhs[2*e+0] = dirichletValue[e][0];
+ K_diag.push_back({id(2*e+1),1.});
+ rhs[2*e+1] = dirichletValue[e][1];
+ }
+ }
+
+ double eavg = 0.;
+ double emin = DBL_MAX;
+ double emax = -DBL_MAX;
+ for (size_t e = 0; e < uIEdges.size(); ++e) {
+ double len = length(points[uIEdges[e][1]]-points[uIEdges[e][0]]);
+ eavg += len;
+ emin = std::min(len,emin);
+ emax = std::max(len,emax);
+ }
+ eavg /= uIEdges.size();
+
+ if (verbosity >= 2)
+ Msg::Info("- edge size: min=%.3f, avg=%.3f, max=%.3f | bbox diag: %.3f",emin,eavg,emax,diag);
+
+
+ /* prepare system */
+ vector<vector<size_t>> K_columns(2*uIEdges.size());
+ vector<vector<double>> K_values(2*uIEdges.size());
+ {
+ bool okp = prepare_system(K_diag, K_coefs, K_columns, K_values);
+ if (!okp) {
+ Msg::Error("failed to prepare system");
+ return false;
+ }
+ }
+
+ double dtInitial = (0.1*diag)*(0.1*diag);
+ double dtFinal = (3.*emin)*(3.*emin);
+
+ if (verbosity >= 1)
+ Msg::Info("- diffusion and projection loop (%li levels, %li unknowns, dt = %.3f .. %.3f) ...", nbDiffusionLevels, 2*uIEdges.size(),dtInitial, dtFinal);
+
+ double wti = TimeOfDay();
+ for (size_t e = 0; e < uIEdges.size(); ++e) {
+ x[2*e+0] = dirichletValue[e][0];
+ x[2*e+1] = dirichletValue[e][1];
+ }
+
+ vector<double> steps;
+ if (nbDiffusionLevels > 1) {
+ for (size_t i = 0; i < nbDiffusionLevels; ++i) {/* resolution transition */
+ double dt = dtInitial + (dtFinal-dtInitial) * double(i)/double(nbDiffusionLevels-1);
+ steps.push_back(dt);
+ }
+ } else {
+ steps.push_back(dtFinal);
+ }
+
+ {
+ /* Initialize system (I/dt + M^-1 * L) x_(i+1) = 1/dt * x_i (Ax = B) */
+ vector<vector<size_t>> Acol = K_columns;
+ vector<vector<double>> Aval_add = K_values; /* to get sparsity pattern */
+ for (size_t i = 0; i < Aval_add.size(); ++i)
+ std::fill(Aval_add[i].begin(),Aval_add[i].end(),0.);
+ vector<double> B = x;
+ vector<double> norms(uIEdges.size(),0.);
+ vector<double> prevNorms = norms;
+
+ CrossFieldLinearSystem solver(2*uIEdges.size());
+
+ vector<double> diag_sum(2*uIEdges.size(), 0.);
+ for (size_t i = 0; i < Acol.size(); ++i) {
+ if (!dirichletEdge[i/2]) {
+ for (size_t j = 0; j < Acol[i].size(); ++j) {
+ Aval_add[i][j] = 1. / Mass[i] * K_values[i][j];
+ }
+ } else {
+ Aval_add[i] = {1.};
+ }
+ }
+ solver.add_sparse_coefficients(Acol, Aval_add, true);
+ for (size_t i = 0; i < Aval_add.size(); ++i) Aval_add[i].clear();
+ for (size_t i = 0; i < Acol.size(); ++i) Acol[i].clear();
+ bool okp = solver.preprocess_sparsity_pattern();
+ if (!okp) {
+ Msg::Error("linear solver analysis failed");
+ return false;
+ }
+
+ /* Loop over the changing timesteps */
+ double prev_dt = DBL_MAX;
+ for (int iter = 0; iter < steps.size(); ++iter) {
+ if (iter > 0 && steps[iter] > prev_dt) continue;
+ double dt = steps[iter];
+ prev_dt = dt;
+
+ if (verbosity >= 1)
+ Msg::Info(" - step %li/%li | dt = %.3f, linear system loop ...", iter+1, steps.size(), dt);
+
+ /* Update LHS matrix with the new timestep */
+ for (size_t i = 0; i < Acol.size(); ++i) {
+ if (!dirichletEdge[i/2]) {
+ Acol[i] = {i};
+ Aval_add[i] = {-diag_sum[i] + 1./dt};
+ diag_sum[i] = 1./dt;
+ }
+ }
+ bool oku = solver.add_sparse_coefficients(Acol, Aval_add, false);
+ if (!oku) {
+ Msg::Error("failed to update linear system");
+ return false;
+ }
+ solver.factorize();
+
+ /* Loop at fixed time step */
+ constexpr size_t subiter_max = 25;
+ for (size_t subiter = 0; subiter < subiter_max; ++subiter) {
+ prevNorms = norms;
+
+ /* Update RHS */
+ B = x;
+ for (size_t i = 0; i < B.size(); ++i) if (!dirichletEdge[i/2])
+ B[i] /= dt;
+ solver.set_rhs_values(B);
+
+ bool oks = solver.solve(x);
+ if (!oks) {
+ Msg::Error("failed to solve linear system");
+ return false;
+ }
+
+
+ /* Normalize cross field and gather norm stats */
+ double nmi = DBL_MAX;
+ double nma = -DBL_MAX;
+ for (size_t e = 0; e < uIEdges.size(); ++e) {
+ norms[e] = std::sqrt(x[2*e]*x[2*e]+x[2*e+1]*x[2*e+1]);
+ nmi = std::min(nmi,norms[e]);
+ nma = std::max(nma,norms[e]);
+ if (!dirichletEdge[e] && norms[e] > EPS) {
+ x[2*e+0] /= norms[e];
+ x[2*e+1] /= norms[e];
+ }
+ }
+ // Msg::Info(" | norm, min = {}, max = {}", nmi, nma);
+ const double EPS_NORM = 1.e-1;
+ if (nma > 1. + EPS_NORM) {
+ steps[iter] /= 10;
+ dt = steps[iter];
+ iter -= 1;
+ if (verbosity >= 2)
+ Msg::Warning(" | max(norm)=%.3f (should be 1.), solve failed, new time step: dt = %.3f", nma, dt);
+ break;
+ }
+ if (subiter > 0 || iter > 0) {
+ double linf = 0.;
+ for (size_t i = 0; i < norms.size(); ++i) if (!dirichletEdge[i]) {
+ linf = std::max(linf,norms[i]-prevNorms[i]);
+ }
+ if (verbosity >= 3)
+ Msg::Info(" | system solved, norm diff max: %.3f, norm range: %.3f - %.3f", linf, nmi, nma);
+ if (linf < 1.e-3) break;
+ } else {
+ if (verbosity >= 3)
+ Msg::Info(" | system solved");
+ }
+ }
+ }
+ }
+ double et = TimeOfDay() - wti;
+ if (verbosity >= 2)
+ Msg::Info("- cross field elapsed time: %.3f", et);
+
+
+ { /* Export solution */
+ triEdgeTheta.resize(triangles.size());
+ for (size_t t = 0; t < triangles.size(); ++t) {
+ for (size_t le = 0; le < 3; ++le) {
+ id e = old2IEdge[3*t+le];
+ double len = std::sqrt(x[2*e]*x[2*e]+x[2*e+1]*x[2*e+1]);
+ double theta = (len > EPS) ? 1./double(N)*atan2(x[2*e+1]/len,x[2*e]/len) : 0.;
+ triEdgeTheta[t][le] = theta;
+ }
+ }
+ }
+
+ return true;
+ }
+
+
+ inline SVector3 tri_normal(MTriangle* t) {
+ SVector3 v10(t->getVertex(1)->x() - t->getVertex(0)->x(),
+ t->getVertex(1)->y() - t->getVertex(0)->y(),
+ t->getVertex(1)->z() - t->getVertex(0)->z());
+ SVector3 v20(t->getVertex(2)->x() - t->getVertex(0)->x(),
+ t->getVertex(2)->y() - t->getVertex(0)->y(),
+ t->getVertex(2)->z() - t->getVertex(0)->z());
+ SVector3 normal_to_triangle = crossprod(v20, v10);
+ normal_to_triangle.normalize();
+ return normal_to_triangle;
+ }
+
+ inline SVector3 crouzeix_raviart_interpolation(SVector3 lambda, SVector3 edge_values[3]) {
+ double x = lambda[1];
+ double y = lambda[2];
+ SVector3 shape = {1.0 - 2.0 * y, -1.0 + 2.0 * (x + y), 1.0 - 2.0 * x};
+ return shape[0] * edge_values[0] + shape[1] * edge_values[1] + shape[2] * edge_values[2];
+ }
+
+ int local_frame(const MVertex* v, const std::vector<MTriangle*>& tris,
+ SVector3& e_x, SVector3& e_y, SVector3& e_z) {
+ e_x = SVector3(DBL_MAX,DBL_MAX,DBL_MAX);
+ SVector3 avg(0.,0.,0.);
+ for (MTriangle* t: tris) {
+ avg += tri_normal(t);
+ if (e_x.x() == DBL_MAX) {
+ for (size_t le = 0; le < 3; ++le) {
+ MVertex* v1 = t->getVertex(le);
+ MVertex* v2 = t->getVertex((le+1)%3);
+ if (v1 == v) {
+ e_x = v2->point() - v1->point();
+ break;
+ } else if (v2 == v) {
+ e_x = v1->point() - v2->point();
+ break;
+ }
+ }
+ }
+ }
+ if (avg.norm() < 1.e-16) {
+ Msg::Error("local frame for %li triangles: avg normal = %.2f, %.2f, %.2f",
+ tris.size(), avg.x(), avg.y(), avg.z());
+ return -1;
+ }
+ if (e_x.norm() < 1.e-16) {
+ Msg::Error("local frame for %li triangles: e_x = %.2f, %.2f, %.2f",
+ tris.size(), e_x.x(), e_x.y(), e_x.z());
+ return -1;
+ }
+ e_x.normalize();
+ avg.normalize();
+ e_z = avg;
+ e_y = crossprod(e_z,e_x);
+ if (e_y.norm() < 1.e-16) {
+ Msg::Error("local frame for %li triangles: e_y = %.2f, %.2f, %.2f",
+ tris.size(), e_y.x(), e_y.y(), e_y.z());
+ return -1;
+ }
+ e_y.normalize();
+
+ return 0;
+ }
+
+ int ordered_fan_around_vertex(const MVertex* v, const std::vector<MTriangle*>& tris,
+ std::vector<std::array<MVertex*,2> >& vPairs) {
+ vPairs.clear();
+ if (tris.size() < 3) return -1;
+
+ std::unordered_set<MTriangle*> done;
+ { /* Init */
+ MTriangle* t = tris[0];
+ for (size_t le = 0; le < 3; ++le) {
+ MVertex* v1 = t->getVertex(le);
+ MVertex* v2 = t->getVertex((le+1)%3);
+ if (v1 != v && v2 != v) {
+ vPairs.push_back({v1,v2});
+ done.insert(t);
+ break;
+ }
+ }
+ }
+
+ while (vPairs.back().back() != vPairs[0][0]) {
+ MVertex* last = vPairs.back().back();
+ /* Look for next edge connected to last */
+ bool found = false;
+ for (MTriangle* t: tris) {
+ if (done.find(t) != done.end()) continue;
+ for (size_t le = 0; le < 3; ++le) {
+ MVertex* v1 = t->getVertex(le);
+ MVertex* v2 = t->getVertex((le+1)%3);
+ if (v1 != v && v2 != v) {
+ if (v1 == last) {
+ vPairs.push_back({v1,v2});
+ done.insert(t);
+ found = true;
+ break;
+ } else if (v2 == last) {
+ vPairs.push_back({v2,v1});
+ done.insert(t);
+ found = true;
+ break;
+ }
+ }
+ }
+ if (found) break;
+ }
+ if (!found) {
+ Msg::Error("failed to order fan vertex pairs");
+ return -1;
+ }
+ }
+
+ return 0;
+ }
+}
+
+
+int computeCrossFieldWithHeatEquation(
+ int N,
+ const std::vector<MTriangle*>& triangles,
+ const std::vector<MLine*>& lines,
+ std::vector<std::array<double,3> >& triEdgeTheta,
+ int nbDiffusionLevels,
+ double thresholdNormConvergence,
+ int nbBoundaryExtensionLayer,
+ int verbosity) {
+
+ /* Build discrete mesh without reference to gmsh structures */
+ std::vector<std::array<double,3> > dpoints;
+ std::vector<std::array<QMT::id,2> > dlines;
+ std::vector<std::array<QMT::id,3> > dtriangles;
+ std::vector<QMT::id> old2new;
+ {
+ old2new.reserve(3*triangles.size());
+ dpoints.reserve(3*triangles.size());
+ dlines.reserve(lines.size());
+ dtriangles.reserve(triangles.size());
+
+ constexpr QMT::id X = std::numeric_limits<QMT::id>::max();
+
+ for (MLine* l: lines) {
+ std::array<QMT::id,2> line;
+ for (size_t lv = 0; lv < 2; ++lv) {
+ MVertex* v = l->getVertex(lv);
+ size_t num = v->getNum();
+ if (num >= old2new.size()) {
+ old2new.resize(num+1,X);
+ }
+ if (old2new[num] == X) {
+ old2new[num] = dpoints.size();
+ std::array<double,3> pt = {v->x(), v->y(), v->z()};
+ dpoints.push_back(pt);
+ }
+ line[lv] = old2new[num];
+ }
+ std::sort(line.begin(),line.end());
+ dlines.push_back(line);
+ }
+ for (MTriangle* t: triangles) {
+ std::array<QMT::id,3> tri;
+ for (size_t lv = 0; lv < 3; ++lv) {
+ MVertex* v = t->getVertex(lv);
+ size_t num = v->getNum();
+ if (num >= old2new.size()) {
+ old2new.resize(num+1,X);
+ }
+ if (old2new[num] == X) {
+ old2new[num] = dpoints.size();
+ std::array<double,3> pt = {v->x(), v->y(), v->z()};
+ dpoints.push_back(pt);
+ }
+ tri[lv] = old2new[num];
+ }
+ dtriangles.push_back(tri);
+ }
+ }
+
+
+ bool ok = QMT::compute_cross_field_with_multilevel_diffusion(N,
+ dpoints, dlines, dtriangles, triEdgeTheta,
+ nbDiffusionLevels, thresholdNormConvergence,nbBoundaryExtensionLayer,
+ verbosity);
+ return ok ? 0 : -1;
+}
+
+// inline double compat_orientation_extrinsic(
+// int Ns,
+// const SVector3 &o0,
+// const SVector3 &n0,
+// const SVector3 &o1,
+// const SVector3 &n1,
+// SVector3 &a1, SVector3 &b1)
+// {
+// SVector3 t0 = crossprod(n0, o0);
+// SVector3 t1 = crossprod(n1, o1);
+// t0.normalize();
+// t1.normalize();
+// std::vector<SVector3> A(Ns);
+// std::vector<SVector3> B(Ns);
+// for (int i = 0; i < Ns; ++i) {
+// double agl = double(i)/double(Ns) * 2. * M_PI;
+// A[i] = o0 * cos(agl) + t0 * sin(agl);
+// B[i] = o1 * cos(agl) + t1 * sin(agl);
+// }
+// double maxx = -1;
+// size_t is = 0;
+// size_t js = 0;
+// for (int i = 0; i < Ns; ++i) {
+// for (int j = 0; j < Ns; ++j) {
+// const double xx = dot(A[i], B[j]);
+// if(xx > maxx) {
+// is = i;
+// js = j;
+// maxx = xx;
+// }
+// }
+// }
+// a1 = A[is];
+// b1 = B[js];
+// return maxx;
+// }
+//
+// inline void cross_normalize(int Ns, double &a)
+// {
+// double D = 2. * M_PI / double(Ns);
+// if(a < 0)
+// while(a < 0) a += D;
+// if(a >= D)
+// while(a >= D) a -= D;
+// }
+//
+// inline double cross_lifting(int Ns, double _a, double a)
+// {
+// double D = 2. * M_PI / double(Ns);
+// if(fabs(_a - a) < fabs(_a - (a + D)) && fabs(_a - a) < fabs(_a - (a - D))) {
+// return a;
+// }
+// else if(fabs(_a - (a + D)) < fabs(_a - a) &&
+// fabs(_a - (a + D)) < fabs(_a - (a - D))) {
+// return a + D;
+// }
+// else {
+// return a - D;
+// }
+// return DBL_MAX;
+// }
+
+
+inline double compat_orientation_extrinsic(int Ns,
+ const SVector3 &o0,
+ const SVector3 &n0,
+ const SVector3 &o1,
+ const SVector3 &n1,
+ SVector3 &a1, SVector3 &b1)
+{
+ if (Ns != 4) return DBL_MAX;
+
+ SVector3 t0 = crossprod(n0, o0);
+ SVector3 t1 = crossprod(n1, o1);
+
+ const size_t permuts[8][2] = {{0, 0}, {1, 0}, {2, 0}, {3, 0},
+ {0, 1}, {1, 1}, {2, 1}, {3, 1}};
+ SVector3 A[4]{o0, t0, -o0, -t0};
+ SVector3 B[2]{o1, t1};
+
+ double maxx = -1;
+ int index = 0;
+ for(size_t i = 0; i < 8; i++) {
+ const double xx = dot(A[permuts[i][0]], B[permuts[i][1]]);
+ if(xx > maxx) {
+ index = i;
+ maxx = xx;
+ }
+ }
+ a1 = A[permuts[index][0]];
+ b1 = B[permuts[index][1]];
+ return maxx;
+}
+
+inline void cross_normalize(int Ns, double &a)
+{
+ if (Ns != 4) {
+ a = DBL_MAX;
+ return ;
+ }
+ double D = M_PI * .5;
+ if(a < 0)
+ while(a < 0) a += D;
+ if(a >= D)
+ while(a >= D) a -= D;
+}
+
+inline double cross_lifting(int Ns, double _a, double a)
+{
+ if (Ns != 4) return DBL_MAX;
+ double D = M_PI * .5;
+ if(fabs(_a - a) < fabs(_a - (a + D)) && fabs(_a - a) < fabs(_a - (a - D))) {
+ return a;
+ }
+ else if(fabs(_a - (a + D)) < fabs(_a - a) &&
+ fabs(_a - (a + D)) < fabs(_a - (a - D))) {
+ return a + D;
+ }
+ else {
+ return a - D;
+ }
+ return DBL_MAX;
+}
+
+
+int computeCrossFieldConformalScaling(
+ int Ns,
+ const std::vector<MTriangle*>& triangles,
+ const std::vector<std::array<double,3> >& triEdgeTheta,
+ std::unordered_map<MVertex*,double>& scaling)
+{
+#if defined(HAVE_SOLVER)
+ Msg::Debug("compute cross field scaling (N=%i, %li triangles) ...", Ns, triangles.size());
+ if (triangles.size() != triEdgeTheta.size()) {
+ Msg::Error("conformal scaling: incoherent number of elements in inputs");
+ return -1;
+ }
+
+#if defined(HAVE_PETSC)
+ Msg::Debug("- with PETSc solver");
+ linearSystemPETSc<double> *_lsys = new linearSystemPETSc<double>;
+#elif defined(HAVE_MUMPS)
+ Msg::Debug("- with MUMPS solver");
+ linearSystemMUMPS<double> *_lsys = new linearSystemMUMPS<double>;
+#elif defined(HAVE_EIGEN)
+ Msg::Debug("- with EIGEN solver");
+ linearSystemEigen<double> *_lsys = new linearSystemEigen<double>;
+#else
+ Msg::Debug("- with dense solver (slow, should not be used)");
+ linearSystemFull<double> *_lsys = new linearSystemFull<double>;
+#endif
+ dofManager<double> *myAssembler = new dofManager<double>(_lsys);
+
+ /* Vertex unknowns */
+ std::set<MVertex *, MVertexPtrLessThan> vs;
+ for (MTriangle* t: triangles) {
+ for(size_t k = 0; k < 3; k++) { vs.insert(t->getVertex(k)); }
+ }
+ for (MVertex* v: vs) myAssembler->numberVertex(v,0,1);
+
+ simpleFunction<double> ONE(1.0);
+ laplaceTerm l(0, 1, &ONE);
+
+ /* Collect gradient of theta (cross field directions) */
+ std::map<MTriangle *, SVector3> gradients_of_theta;
+ for (size_t i = 0; i < triangles.size(); ++i) {
+ MTriangle* t = triangles[i];
+
+ SVector3 v10(t->getVertex(1)->x() - t->getVertex(0)->x(),
+ t->getVertex(1)->y() - t->getVertex(0)->y(),
+ t->getVertex(1)->z() - t->getVertex(0)->z());
+ SVector3 v20(t->getVertex(2)->x() - t->getVertex(0)->x(),
+ t->getVertex(2)->y() - t->getVertex(0)->y(),
+ t->getVertex(2)->z() - t->getVertex(0)->z());
+ SVector3 normal_to_triangle = crossprod(v20, v10);
+ normal_to_triangle.normalize();
+
+ SElement se(t);
+ l.addToMatrix(*myAssembler, &se);
+
+ SVector3 t_i, o_i, o_1, o_2, tgt0;
+ for (size_t le = 0; le < 3; ++ le) {
+ /* Edge ordered lower index to largest */
+ std::array<MVertex*,2> edge = {t->getVertex(le),t->getVertex((le+1)%3)};
+ if (edge[0]->getNum() > edge[1]->getNum()) std::reverse(edge.begin(),edge.end());
+
+ /* Edge tangent */
+ SVector3 tgt = edge[1]->point() - edge[0]->point();
+ if (tgt.norm() < 1.e-16) {
+ Msg::Warning("Edge (tri=%i,le=%i), length = %.e", t->getNum(), le, tgt.norm());
+ if (tgt.norm() == 0.) {return -1;}
+ }
+ tgt.normalize();
+ SVector3 tgt2 = crossprod(normal_to_triangle,tgt);
+ tgt2.normalize();
+
+ /* Cross angle (from Crouzeix-Raviart cross field) */
+ double A = triEdgeTheta[i][le];
+
+ SVector3 o = tgt * cos(A) + tgt2 * sin(A);
+ o.normalize();
+ o -= normal_to_triangle * dot(normal_to_triangle, o_i);
+ o.normalize();
+
+ if (le == 0) {
+ t_i = crossprod(normal_to_triangle, tgt);
+ t_i -= normal_to_triangle * dot(normal_to_triangle, t_i);
+ t_i.normalize();
+ o_i = o;
+ tgt0 = tgt;
+ } else if (le == 1) {
+ o_1 = o;
+ } else if (le == 2) {
+ o_2 = o;
+ }
+ }
+
+ SVector3 x0, x1, x2, x3;
+ compat_orientation_extrinsic(Ns, o_i, normal_to_triangle, o_1, normal_to_triangle, x0, x1);
+ compat_orientation_extrinsic(Ns, o_i, normal_to_triangle, o_2, normal_to_triangle, x2, x3);
+
+ double a0 = atan2(dot(t_i, o_i), dot(tgt0, o_i));
+
+ x0 -= normal_to_triangle * dot(normal_to_triangle, x0);
+ x0.normalize();
+ x1 -= normal_to_triangle * dot(normal_to_triangle, x1);
+ x1.normalize();
+ x2 -= normal_to_triangle * dot(normal_to_triangle, x2);
+ x2.normalize();
+ x3 -= normal_to_triangle * dot(normal_to_triangle, x3);
+ x3.normalize();
+
+ cross_normalize(Ns,a0);
+ double A1 = atan2(dot(t_i, x1), dot(tgt0, x1));
+ double A2 = atan2(dot(t_i, x3), dot(tgt0, x3));
+ cross_normalize(Ns,A1);
+ double a1 = cross_lifting(Ns,a0,A1);
+ cross_normalize(Ns,A2);
+ double a2 = cross_lifting(Ns,a0,A2);
+
+ double a[3] = {a0 + a2 - a1, a0 + a1 - a2, a1 + a2 - a0};
+ double g[3] = {0, 0, 0};
+ t->interpolateGrad(a, 0, 0, 0, g);
+ gradients_of_theta[t] = SVector3(g[0], g[1], g[2]);
+ SPoint3 pp = t->barycenter();
+
+ SVector3 G(g[0], g[1], g[2]);
+ SVector3 GT = crossprod(G, normal_to_triangle);
+
+ double g1[3];
+ a[0] = 1;
+ a[1] = 0;
+ a[2] = 0;
+ t->interpolateGrad(a, 0, 0, 0, g1);
+ double RHS1 = g1[0] * GT.x() + g1[1] * GT.y() + g1[2] * GT.z();
+ a[0] = 0;
+ a[1] = 1;
+ a[2] = 0;
+ t->interpolateGrad(a, 0, 0, 0, g1);
+ double RHS2 = g1[0] * GT.x() + g1[1] * GT.y() + g1[2] * GT.z();
+ a[0] = 0;
+ a[1] = 0;
+ a[2] = 1;
+ t->interpolateGrad(a, 0, 0, 0, g1);
+ double RHS3 = g1[0] * GT.x() + g1[1] * GT.y() + g1[2] * GT.z();
+ int num1 = myAssembler->getDofNumber(l.getLocalDofR(&se, 0));
+ int num2 = myAssembler->getDofNumber(l.getLocalDofR(&se, 1));
+ int num3 = myAssembler->getDofNumber(l.getLocalDofR(&se, 2));
+ double V = -t->getVolume();
+ _lsys->addToRightHandSide(num1, RHS1 * V);
+ _lsys->addToRightHandSide(num2, RHS2 * V);
+ _lsys->addToRightHandSide(num3, RHS3 * V);
+ }
+
+ int status = _lsys->systemSolve();
+
+ if (status == -1) { /* failed to solve */
+ Msg::Warning("conformal scaling (%li triangles, %li variables), failed to solve linear system, use uniform scaling",
+ triangles.size(), vs.size());
+ for (MVertex* v: vs) {
+ scaling[v] = 1.;
+ }
+ delete _lsys;
+ return 0;
+ }
+
+ /* Extract solution */
+ double sMin = DBL_MAX;
+ double sMax = -DBL_MAX;
+ size_t i = 0;
+ for (MVertex* v: vs) {
+ double h;
+ myAssembler->getDofValue(v, 0, 1, h);
+ double cs = exp(-h);
+ scaling[v] = cs;
+ sMin = std::min(sMin,cs);
+ sMax = std::max(sMax,cs);
+ i += 1;
+ }
+ if (sMin == DBL_MAX || sMax == -DBL_MAX || sMin == 0.) {
+ Msg::Error("Conformal scaling computed (%d unknowns, %li triangles -> min=%.3f, max=%.3f), wrong",
+ myAssembler->sizeOfR(), triangles.size(), sMin, sMax);
+ } else {
+ Msg::Debug("Conformal scaling computed (%d unknowns, %li triangles -> min=%.3f, max=%.3f, width=%.3f)",
+ myAssembler->sizeOfR(), triangles.size(), sMin, sMax, sMax - sMin);
+ }
+
+ delete _lsys;
+
+ if (false) {
+ std::vector<MElement*> elts = dynamic_cast_vector<MTriangle*,MElement*>(triangles);
+ GeoLog::add(elts, scaling, "h=exp(-H)");
+ GeoLog::flush();
+ }
+
+#else
+ Msg::Error("Computing cross field scaling requires the SOLVER module");
+ return -1;
+#endif
+
+ return 0;
+}
+
+int computeQuadSizeMapFromCrossFieldConformalFactor(
+ const std::vector<MTriangle*>& triangles,
+ std::size_t targetNumberOfQuads,
+ std::unordered_map<MVertex*,double>& scaling) {
+
+ Msg::Debug("Offset quad size map from cross field conformal factor to target %li quads ...", targetNumberOfQuads);
+
+ if (targetNumberOfQuads == 0) {
+ Msg::Error("targetNumberOfQuads: %i should be positive", targetNumberOfQuads);
+ return -1;
+ }
+
+ double csMin = DBL_MAX;
+ double csMax = -DBL_MAX;
+ double Hmin = DBL_MAX;
+ double Hmax = -DBL_MAX;
+ size_t nWoCorner = 0;
+ for (MTriangle* t: triangles) {
+ for (size_t lv = 0; lv < 3; ++lv) {
+ MVertex* v = t->getVertex(lv);
+ auto it = scaling.find(v);
+ if (it == scaling.end()) {
+ Msg::Error("scaling not found for vertex %i", v->getNum());
+ return -1;
+ }
+ GVertex* gv = v->onWhat()->cast2Vertex();
+ if (gv != nullptr) continue; /* Remove corner values from range */
+ csMin = std::min(csMin, it->second);
+ csMax = std::max(csMax, it->second);
+ nWoCorner += 1;
+ }
+ }
+
+ if (nWoCorner > 0 && (csMin == DBL_MAX || csMax == -DBL_MAX)) {
+ Msg::Warning("conformal scaling is wrong, %li values, min=DBL_MAX or max=-DBL_MAX, filling with unit values", scaling.size(), csMin, csMax);
+ for (MTriangle* t: triangles) {
+ for (size_t lv = 0; lv < 3; ++lv) {
+ MVertex* v = t->getVertex(lv);
+ scaling[v] = 1.;
+ }
+ }
+ }
+
+ /* Compute integral of current size map */
+ double integral = 0.;
+ double smin = DBL_MAX;
+ double smax = -DBL_MAX;
+ std::vector<MVertex*> vertices;
+ vertices.reserve(3*triangles.size());
+ for (MTriangle* t: triangles) {
+ double values[3] = {0,0,0};
+ for (size_t lv = 0; lv < 3; ++lv) {
+ MVertex* v = t->getVertex(lv);
+ auto it = scaling.find(v);
+ if (it == scaling.end()) {
+ Msg::Error("scaling value not found for v=%li",v->getNum());
+ return -1;
+ }
+ /* Clamp with range without corners */
+ if (nWoCorner > 0 && (it->second < csMin || it->second > csMax)) {
+ it->second = clamp(it->second,csMin,csMax);
+ }
+ values[lv] = it->second;
+ smin = std::min(smin,values[lv]);
+ smax = std::max(smax,values[lv]);
+ vertices.push_back(v);
+ }
+ double a = std::abs(t->getVolume());
+ double avg = 1./3. * (values[0] + values[1] + values[2]);
+ if (avg == 0.) continue;
+ integral += a * 1. / std::pow(avg,2);
+ }
+
+ if (integral == 0.) {
+ Msg::Warning("Size map from conformal scaling: total integral is 0 ... (%li triangles, smin=%.3e, smax=%.3e)",
+ triangles.size(), smin, smax);
+ return -1;
+ }
+ Msg::Debug("- %li triangles, conformal scaling: min=%.3e, max=%.3e, #=%.3e",
+ triangles.size(), smin, smax, integral);
+ std::sort(vertices.begin(), vertices.end());
+ vertices.erase(std::unique(vertices.begin(), vertices.end() ), vertices.end());
+
+ /* Apply the scaling */
+ double target = double(targetNumberOfQuads);
+ double FAC = double(target) / integral;
+ double sf = 1./std::sqrt(FAC);
+ smin = DBL_MAX;
+ smax = -DBL_MAX;
+ for (size_t j = 0; j < vertices.size(); ++j) {
+ MVertex* v = vertices[j];
+ auto it = scaling.find(v);
+ it->second = sf * it->second;
+ smin = std::min(smin,it->second);
+ smax = std::max(smax,it->second);
+ }
+ Msg::Debug("- %li triangles, sizemap range: [%.3e, %.3e] (factor applied: %3f)", triangles.size(), smin, smax, FAC);
+
+ return 0;
+}
+
+int convertToPerTriangleCrossFieldDirections(
+ int Ns,
+ const std::vector<MTriangle*>& triangles,
+ const std::vector<std::array<double,3> >& triEdgeTheta,
+ std::vector<std::array<double,9> >& triangleDirections) {
+
+ triangleDirections.resize(triangles.size());
+
+ for (size_t f = 0; f < triangles.size(); ++f) {
+ MTriangle* t = triangles[f];
+
+ SVector3 N = QMT::tri_normal(t);
+
+ /* Compute one branch at triangle vertices */
+ SVector3 refCross = {0.,0.,0.};
+ SVector3 avgCross = {0.,0.,0.};
+ SVector3 lifted_dirs[3];
+ for (size_t le = 0; le < 3; ++le) {
+ /* Get cross angle */
+ std::array<MVertex*,2> edge = {t->getVertex(le),t->getVertex((le+1)%3)};
+ if (edge[0]->getNum() > edge[1]->getNum()) std::reverse(edge.begin(),edge.end());
+
+ double A = triEdgeTheta[f][le];
+
+ /* Local reference frame */
+ SVector3 tgt = edge[1]->point() - edge[0]->point();
+ if (tgt.norm() < 1.e-16) {
+ Msg::Warning("Edge (tri=%i,le=%i), length = %.e", t->getNum(), le, tgt.norm());
+ if (tgt.norm() == 0.) {return -1;}
+ }
+ tgt.normalize();
+ SVector3 tgt2 = crossprod(N,tgt);
+ tgt2.normalize();
+
+ SVector3 cross1 = tgt * cos(A) + tgt2 * sin(A);
+ cross1.normalize();
+
+ SVector3 cross2 = crossprod(N,cross1);
+ cross2.normalize();
+
+ if (le == 0) {
+ refCross = cross1;
+ avgCross = avgCross + cross1;
+ lifted_dirs[le] = refCross;
+ } else {
+ SVector3 closest = {0.,0.,0.};
+ double dotmax = -DBL_MAX;
+ for (int k = 0; k < Ns; ++k) {
+ double agl = A + double(k)/double(Ns) * 2. * M_PI;
+ SVector3 candidate = tgt * cos(agl) + tgt2 * sin(agl);
+ candidate.normalize();
+ if (dot(candidate,refCross) > dotmax) {
+ closest = candidate;
+ dotmax = dot(candidate,refCross);
+ }
+ }
+ // SVector3 candidates[4] = {cross1,-1.*cross1,cross2,-1.*cross2};
+ // SVector3 closest = {0.,0.,0.};
+ // double dotmax = -DBL_MAX;
+ // for (size_t k = 0; k < 4; ++k) {
+ // if (dot(candidates[k],refCross) > dotmax) {
+ // closest = candidates[k];
+ // dotmax = dot(candidates[k],refCross);
+ // }
+ // }
+ lifted_dirs[le] = closest;
+ avgCross = avgCross + closest;
+ }
+ }
+ SVector3 vertex_dirs[3];
+ std::array<double,9> tDirs;
+ for (size_t lv = 0; lv < 3; ++lv) {
+ SVector3 lambda = {0.,0.,0.};
+ lambda[lv] = 1.;
+ SVector3 dir = QMT::crouzeix_raviart_interpolation(lambda,lifted_dirs);
+ if (length2(dir) != 0.) dir.normalize();
+ for (size_t d = 0; d < 3; ++d) {
+ tDirs[3*lv+d] = dir.data()[d];
+ }
+ }
+ triangleDirections[f] = tDirs;
+ }
+
+ return 0;
+}
+
+inline double angle2PI(const SVector3& u, const SVector3& v, const SVector3& n) {
+ const double dp = dot(u,v);
+ const double tp = dot(n,crossprod(u,v));
+ double angle = atan2(tp,dp);
+ if (angle < 0) angle += 2. * M_PI;
+ return angle;
+}
+
+int detectCrossFieldSingularities(
+ int Ns,
+ const std::vector<MTriangle*>& triangles,
+ const std::vector<std::array<double,3> >& triEdgeTheta,
+ bool addSingularitiesAtAcuteCorners,
+ double thresholdInDeg,
+ std::vector<std::pair<SPoint3,int> >& singularities) {
+ singularities.clear();
+ if (triangles.size() != triEdgeTheta.size()) {
+ Msg::Error("detect cross field singularities: wrong inputs");
+ return -1;
+ }
+
+ /* Get interior vertices and adjacent triangles */
+ unordered_map<MVertex*,vector<MTriangle*> > v2t;
+
+ /* put edge angles here, maybe a bit slow ... */
+ unordered_map<MEdge,double,MEdgeHash,MEdgeEqual> edgeTheta;
+
+ for (size_t i = 0; i < triangles.size(); ++i) {
+ MTriangle* t = triangles[i];
+ for (size_t le = 0; le < 3; ++le) {
+ MVertex* v1 = t->getVertex(le);
+ MVertex* v2 = t->getVertex((le+1)%3);
+
+ MEdge edg(v1,v2);
+ edgeTheta[edg] = triEdgeTheta[i][le];
+
+ GFace* gf = dynamic_cast<GFace*>(v1->onWhat());
+ if (gf == nullptr) continue;
+ v2t[v1].push_back(t);
+ }
+ }
+
+ /* Compute index at each vertex (looking on the one rings) */
+ unordered_map<MVertex*,int> vertexIndex;
+ for (auto& kv: v2t) {
+ MVertex* v = kv.first;
+ const vector<MTriangle*>& tris = kv.second;
+
+ SVector3 e_x, e_y, N;
+ int st = QMT::local_frame(v, tris, e_x, e_y, N);
+ if (st != 0) {
+ Msg::Error("no local frame for v=%li", v->getNum());
+ continue;
+ }
+
+ std::vector<std::array<MVertex*,2> > vPairs;
+ int st2 = QMT::ordered_fan_around_vertex(v, tris, vPairs);
+ if (st2 != 0) {
+ Msg::Error("no ordered fan around v=%li", v->getNum());
+ continue;
+ }
+
+ double angle_deficit = 2.*M_PI;
+ std::vector<SVector3> rep_vectors(vPairs.size()); /* cross field representation vector in local frame (+e_x,+e_y) */
+ for (size_t j = 0; j < vPairs.size(); ++j) {
+ MVertex* v1 = vPairs[j][0];
+ MVertex* v2 = vPairs[j][1];
+ angle_deficit -= angle3Vertices(v1, v, v2); /* gaussian curvature */
+
+ SVector3 tgt;
+ if (v1->getNum() < v2->getNum()) {
+ tgt = v2->point() - v1->point();
+ } else {
+ tgt = v1->point() - v2->point();
+ }
+ tgt.normalize();
+ SVector3 tgt2 = crossprod(N,tgt);
+ tgt2.normalize();
+ std::array<size_t,2> vPair = {v1->getNum(),v2->getNum()};
+ if (vPair[1] < vPair[0]) vPair = {v2->getNum(),v1->getNum()};
+ MEdge query(v1,v2);
+ auto it = edgeTheta.find(query);
+ if (it == edgeTheta.end()) {
+ Msg::Error("Edge (%li,%li) not found in edgeTheta",vPair[0],vPair[1]);
+ return -1;
+ }
+ double A = it->second;
+
+ SVector3 branchInQuadrant;
+ bool found = false;
+ double dpmax = -DBL_MAX; size_t kmax = (size_t) -1;
+ for (size_t k = 0; k < Ns; ++k) { /* Loop over branches */
+ double agl = A + double(k)/double(Ns) * 2. * M_PI;
+ SVector3 branch = tgt * cos(agl) + tgt2 * sin(agl);
+ if (dot(branch,e_x) >= 0. && dot(branch,e_y) >= 0.) {
+ branchInQuadrant = branch;
+ found = true;
+ break;
+ }
+ double dp = dot(branch,SVector3(std::sqrt(2),std::sqrt(2),0.));
+ if (dp > dpmax) {dpmax = dp; kmax = k;}
+ }
+ if (!found && kmax != (size_t)-1 ) { /* if numerical errors */
+ double agl = A + double(kmax)/double(Ns) * 2. * M_PI;
+ branchInQuadrant = tgt * cos(agl) + tgt2 * sin(agl);
+ }
+
+ double theta = acos(dot(branchInQuadrant,e_x));
+ rep_vectors[j] = {cos(double(Ns)*theta),sin(double(Ns)*theta),0.};
+ }
+ double sum_diff = 0.;
+ for (size_t j = 0; j < vPairs.size(); ++j) {
+ SVector3 vertical(0.,0.,1.);
+ const SVector3 r1 = rep_vectors[j];
+ const SVector3 r2 = rep_vectors[(j+1)%rep_vectors.size()];
+ double diff_angle = angle2PI(r1,r2,vertical);
+ if (diff_angle > M_PI) diff_angle -= 2.*M_PI;
+ sum_diff += diff_angle;
+ }
+ if (std::abs(sum_diff-2*M_PI) < 0.05*M_PI) {
+ vertexIndex[v] = -1;
+ } else if (std::abs(sum_diff+2*M_PI) < 0.05*M_PI) {
+ vertexIndex[v] = 1;
+ } else if (std::abs(sum_diff) > 0.05 * M_PI) {
+ Msg::Debug("singularity detection, v=%i, sum of diff is %.3f deg, ignored", v->getNum(), sum_diff);
+ }
+ }
+
+ /* Three types of singularities with Crouzeix-Raviart interpolation:
+ * - on vertex
+ * - on edge
+ * - on triangle */
+
+ /* triangle singularities */
+ for (MTriangle* t: triangles) {
+ MVertex* v1 = t->getVertex(0);
+ MVertex* v2 = t->getVertex(1);
+ MVertex* v3 = t->getVertex(2);
+ for (double index: {-1.,1.}) {
+ if (vertexIndex[v1] == index
+ && vertexIndex[v2] == index
+ && vertexIndex[v3] == index) {
+ SPoint3 p = (v1->point()+v2->point()+v3->point()) * double(1./3.);
+ singularities.push_back({p,index});
+ /* remove from list of available singularities */
+ vertexIndex[v1] = 0.;
+ vertexIndex[v2] = 0.;
+ vertexIndex[v3] = 0.;
+ }
+ }
+ }
+ /* edge singularities */
+ for (MTriangle* t: triangles) {
+ for (size_t le = 0; le < 3; ++le) {
+ MVertex* v1 = t->getVertex(le);
+ MVertex* v2 = t->getVertex((le+1)%3);
+ for (double index: {-1.,1.}) {
+ if (vertexIndex[v1] == index
+ && vertexIndex[v2] == index) {
+ SPoint3 p = (v1->point()+v2->point()) * 0.5;
+ singularities.push_back({p,index});
+ /* remove from list of available singularities */
+ vertexIndex[v1] = 0.;
+ vertexIndex[v2] = 0.;
+ }
+ }
+ }
+ }
+ /* vertex singularities */
+ for (auto& kv: vertexIndex) if (kv.second != 0) {
+ singularities.push_back({kv.first->point(),kv.second});
+ }
+
+ Msg::Debug("detect cross field singularities: found %li singularities (%li triangles)",
+ singularities.size(), triangles.size());
+
+ if (addSingularitiesAtAcuteCorners) {
+ size_t nb = singularities.size();
+ unordered_map<MVertex*, double> cornerAngle;
+ unordered_map<MVertex*, std::vector<MTriangle*> > cornerToTris;
+ for (MTriangle* t: triangles) {
+ for (size_t le = 0; le < 3; ++le) {
+ MVertex* v2 = t->getVertex((le+1)%3);
+ if (v2->onWhat()->cast2Vertex() != NULL) {
+ MVertex* v1 = t->getVertex(le);
+ MVertex* v3 = t->getVertex((le+2)%3);
+ double agl = std::abs(angle3Vertices(v1,v2,v3));
+ cornerAngle[v2] += agl;
+ cornerToTris[v2].push_back(t);
+ }
+ }
+ }
+ for (const auto& kv: cornerAngle) {
+ MVertex* v = kv.first;
+ double agl = kv.second;
+ if (agl * 180. / M_PI < thresholdInDeg) {
+ std::vector<MTriangle*>& tris = cornerToTris[v];
+ if (tris.size() == 0) continue;
+ SPoint3 p(0.,0.,0.);
+ for (MTriangle* t: tris) {
+ p += t->barycenter();
+ }
+ p = p * double(1./double(tris.size()));
+ singularities.push_back({p,1});
+ }
+ }
+ if (singularities.size() > nb) {
+ Msg::Debug("detect cross field singularities: added %li artificial singularities at acute corners",
+ singularities.size()-nb);
+ }
+ }
+
+ return 0;
+}
diff --git a/contrib/QuadMeshingTools/qmtCrossField.h b/contrib/QuadMeshingTools/qmtCrossField.h
new file mode 100644
index 0000000000000000000000000000000000000000..70aac6a0a73a6e6711be02802a9ae2e0e7c5dfd4
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtCrossField.h
@@ -0,0 +1,133 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#pragma once
+
+#include <vector>
+#include <array>
+#include <unordered_map>
+#include <utility>
+#include "SPoint3.h"
+
+class MVertex;
+class MTriangle;
+class MLine;
+class GFace;
+
+/**
+ * @brief Compute a smooth boundary-aligned cross field by alternating
+ * heat diffusion and projection (also called the MBO method).
+ * The crosses are aligned with the lines.
+ * The crosses are sampled on the mesh edges (Crouzeix-Raviart)
+ * and are represented by the angle of one of the branch with the
+ * edge. Returned values are copied on the triangle for ease of
+ * use in other methods.
+ *
+ * @param[in] N symmetry invariance, N=4 for crosses, N=6 for asterisks
+ * @param[in] triangles Triangulation used for the Crouzeix-Raviart computation, must be connected
+ * @param[in] lines Boundary conditions (cross aligned, theta angle is 0), must be non-empty
+ * @param[out] triEdgeTheta The cross field, one angle (in radians) per triangle edge.
+ * It is the relative angle between the edge and one branch of the cross.
+ * i.e.: branch = cos(theta)*edge_tangent+sin(theta)*edge_ortho
+ * @param[in] nbDiffusionLevels Number of diffusion levels in the MBO algo.
+ * @param[in] thresholdNormConvergence Converence criteria inside each level
+ * @param[in] nbBoundaryExtensionLayer Extend the Dirichlet BCs inside (on X layers)
+ * to push singularities inside the faces.
+ * @param[in] verbosity 0: no log (except errors), 1: two lines, 2: one per level, 3+: details
+ *
+ * @return 0 if success
+ */
+int computeCrossFieldWithHeatEquation(
+ int N,
+ const std::vector<MTriangle*>& triangles,
+ const std::vector<MLine*>& lines,
+ std::vector<std::array<double,3> >& triEdgeTheta,
+ int nbDiffusionLevels = 5,
+ double thresholdNormConvergence = 1.e-3,
+ int nbBoundaryExtensionLayer = 1,
+ int verbosity = 1);
+
+/**
+ * @brief Compute the cross field conformal scaling by canceling the Lie bracket,
+ * in a least square sense (singularities are not used).
+ * The scaling defines the "intrinsic" cross field size map (up to a constant).
+ *
+ * @param[in] N symmetry invariance, N=4 for crosses, N=6 for asterisks
+ * @param[in] triangles Triangulation used to compute the cross field, and use to compute the scaling
+ * @param[in] triEdgeTheta The cross field, one angle per triangle edge, relative to the edge direction
+ * should be compatible with the result of computeCrossFieldWithHeatEquation()
+ * @param[out] scaling The conformal scaling, scalar field with one value per vertex (P1 FEM)
+ *
+ * @return 0 if success
+ */
+int computeCrossFieldConformalScaling(
+ int N,
+ const std::vector<MTriangle*>& triangles,
+ const std::vector<std::array<double,3> >& triEdgeTheta,
+ std::unordered_map<MVertex*,double>& scaling);
+
+
+/**
+ * @brief Compute a size map from the conformal scaling by adding an offset
+ * to get targetNumberOfQuads in the end (when integrating the sizemap).
+ *
+ * @param triangles Triangulation used to compute the conformal scaling
+ * @param targetNumberOfQuads The number of quads used to offset the scaling
+ * @param[in,out] scaling The size map to update with the offset
+ *
+ * @return 0 if success
+ */
+int computeQuadSizeMapFromCrossFieldConformalFactor(
+ const std::vector<MTriangle*>& triangles,
+ std::size_t targetNumberOfQuads,
+ std::unordered_map<MVertex*,double>& scaling);
+
+
+/**
+ * @brief Convert the edge-sampled cross field to a triangle-sampled cross field,
+ * by using Crouzeix-Raviart interpolation.
+ * Each triangle has 3 unit directions at its corner. This cross field is (slighly)
+ * dicontinuous at triangle interfaces.
+ *
+ * @param[in] N symmetry invariance, N=4 for crosses, N=6 for asterisks
+ * @param[in] triangles Triangulation used to compute cross field and size map
+ * @param[in] triEdgeTheta The cross field, one angle per triangle edge, relative to the edge direction
+ * should be compatible with the result of computeCrossFieldWithHeatEquation()
+ * @param[out] triangleDirections The cross field sampled at triangle corners, three vectors
+ * per triangle (one per corner). component ordering: [v1x,v1y,v1z,.., v3x,v3y,v3z]
+ *
+ * @return 0 if success
+ */
+int convertToPerTriangleCrossFieldDirections(
+ int N,
+ const std::vector<MTriangle*>& triangles,
+ const std::vector<std::array<double,3> >& triEdgeTheta,
+ std::vector<std::array<double,9> >& triangleDirections);
+
+/**
+ * @brief Detect the singularities in a cross field by adding angle differences around
+ * vertex one-rings
+ *
+ * @param[in] N symmetry invariance, N=4 for crosses, N=6 for asterisks
+ * @param[in] triangles Triangulation used to compute cross field and size map
+ * @param[in] triEdgeTheta The cross field, one angle per triangle edge, relative to the edge direction
+ * should be compatible with the result of computeCrossFieldWithHeatEquation()
+ * @param[in] addSingularitiesAtAcuteCorners If true, at singularity at corners whose angle is small
+ * @param[in] thresholdInDeg Corners are considered acute if inferior to this threshold, e.g. 30 (degrees)
+ * @param[out] singularities Cross field singularities, position and index (-1 for valence 5,
+ * +1 for valence 3)
+ *
+ * @return 0 if success
+ */
+int detectCrossFieldSingularities(
+ int N,
+ const std::vector<MTriangle*>& triangles,
+ const std::vector<std::array<double,3> >& triEdgeTheta,
+ bool addSingularitiesAtAcuteCorners,
+ double thresholdInDeg,
+ std::vector<std::pair<SPoint3,int> >& singularities);
+
diff --git a/contrib/QuadMeshingTools/qmtCurveQuantization.cpp b/contrib/QuadMeshingTools/qmtCurveQuantization.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..3357c83336c23e0eb0b92917eaa7eccf11430c69
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtCurveQuantization.cpp
@@ -0,0 +1,493 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#include "qmtSizeMap.h"
+
+/* System includes */
+#include <vector>
+#include <array>
+#include <unordered_map>
+#include <cstdint>
+#include <cmath>
+#include <queue>
+#include <algorithm>
+
+/* Gmsh includes */
+#include "Context.h"
+#include "GmshMessage.h"
+#include "OS.h"
+#include "GVertex.h"
+#include "GEdge.h"
+#include "GFace.h"
+#include "GModel.h"
+#include "MVertex.h"
+#include "MLine.h"
+#include "MTriangle.h"
+#include "meshGEdge.h"
+#include "BackgroundMesh.h"
+#include "gmsh.h" // debug
+
+/* QuadMeshingTools includes */
+#include "cppUtils.h"
+#include "qmtMeshUtils.h"
+#include "arrayGeometry.h"
+#include "geolog.h"
+
+using namespace CppUtils;
+using namespace ArrayGeometry;
+
+using std::vector;
+using std::pair;
+using std::unordered_map;
+
+namespace QMT {
+ constexpr int UNASSIGNED = -1;
+ constexpr int START = -2;
+
+
+ vec3 gedgeCenter(GEdge* ge) {
+ double t = 0.5*(ge->parBounds(0).low() + ge->parBounds(0).high());
+ GPoint p = ge->point(t);
+ return {p.x(),p.y(),p.z()};
+ }
+
+ /* See Campen et al. 2015 */
+ inline double quantization_weigth(const int node, const vector<double>& x_ideal, const vector<int>& n) {
+ const size_t Ne = n.size();
+ double current = (n[node] == UNASSIGNED) ? 0. : double(n[node]);
+ const double dp = x_ideal[node] - current;
+ if (1. <= dp) {
+ return 1./ (dp+1.);
+ } else if (0. <= dp && dp < 1.) {
+ return Ne / (dp+1.);
+ } else if (dp < 0.) {
+ return Ne*Ne / (1.-dp);
+ }
+ return DBL_MAX;
+ }
+
+ bool DBGPRINT = false;
+
+ bool tchordPropagation(
+ const vector<vector<vector<int> > >& node2side2nodes,
+ int nodeInit,
+ const vector<int>& n,
+ const vector<double>& x_ideal,
+ vector<int>& tchord) {
+
+
+ std::vector<int> parent(node2side2nodes.size(),UNASSIGNED);
+ std::vector<int> initialSide(node2side2nodes.size(),UNASSIGNED);
+
+ std::priority_queue<std::pair<double,int>, std::vector<std::pair<double,int> > > Q;
+ parent[nodeInit] = START;
+ Q.push({DBL_MAX,nodeInit});
+
+ std::vector<int> initialSideEnding(node2side2nodes[nodeInit].size(),UNASSIGNED);
+ if (initialSideEnding.size() == 0 || initialSideEnding.size() > 2) {
+ Msg::Error("wrong number of initial sides: %li", initialSideEnding.size());
+ return false;
+ }
+
+ while (Q.size() > 0) {
+ int node = Q.top().second;
+ Q.pop();
+ int parentNode = parent[node];
+ if (parentNode == UNASSIGNED) {
+ Msg::Error("parent not defined for node, should not happen");
+ return false;
+ }
+
+ int currentInitialSide = initialSide[node];
+ if (currentInitialSide != UNASSIGNED && initialSideEnding[currentInitialSide] != UNASSIGNED) {
+ if (DBGPRINT) {
+ DBG(nodeInit, node, parentNode, currentInitialSide, "side finished, continue");
+ }
+ continue;
+ }
+ if (DBGPRINT) {
+ DBG(nodeInit, node, parentNode, currentInitialSide);
+ }
+
+
+ /* Propagate on side which is not the origin (i.e. contains the parent) */
+ bool prop = false;
+ for (size_t s = 0; s < node2side2nodes[node].size(); ++s) {
+ if (node == nodeInit) currentInitialSide = s; /* first time */
+
+ auto& sideNodes = node2side2nodes[node][s];
+
+ if (DBGPRINT) {
+ DBG(nodeInit, node, parentNode, currentInitialSide, s, sideNodes);
+ }
+
+ if (inVector(parentNode, sideNodes)) continue;
+
+ for (auto& node2: sideNodes) {
+ if (DBGPRINT) {
+ DBG(" ", node2, parent[node2]);
+ }
+ if (parent[node2] != UNASSIGNED) continue; /* already visited */
+ double w = quantization_weigth(node2, x_ideal, n);
+ parent[node2] = node;
+ initialSide[node2] = currentInitialSide;
+ Q.push({w,node2});
+ prop = true;
+ if (DBGPRINT) {
+ DBG(" +", node2, w);
+ }
+ }
+
+ }
+ if (!prop && currentInitialSide != UNASSIGNED
+ && initialSideEnding[currentInitialSide] == UNASSIGNED) {
+ initialSideEnding[currentInitialSide] = node;
+ if (DBGPRINT) {
+ DBG(currentInitialSide, "end on", node);
+ }
+ }
+ }
+
+ /* Check endings of propagation */
+ if (DBGPRINT) {
+ DBG(initialSideEnding);
+ }
+ for (int& ending: initialSideEnding) if (ending == UNASSIGNED) {
+ if (DBGPRINT) {
+ DBG("return false");
+ }
+ return false;
+ }
+
+ /* Unroll sides */
+ tchord.clear();
+ for (int& ending: initialSideEnding) {
+ int node = ending;
+ while (node != START) {
+ tchord.push_back(node);
+ node = parent[node];
+ }
+ }
+ sort_unique(tchord);
+
+ return true;
+ }
+
+ bool solveQuantizationWithGreedyApproach(
+ const vector<pair<vector<GEdge*>,vector<GEdge*> > >& oppositeSides,
+ const unordered_map<GEdge*,double>& x_ideal,
+ unordered_map<GEdge*,int>& x) {
+
+ vector<pair<vector<int>,vector<int> > > oppositeSideTags(oppositeSides.size());;
+ for (size_t i = 0; i < oppositeSides.size(); ++i) {
+ for (size_t j = 0; j < oppositeSides[i].first.size(); ++j) {
+ oppositeSideTags[i].first.push_back(oppositeSides[i].first[j]->tag());
+ }
+ for (size_t j = 0; j < oppositeSides[i].second.size(); ++j) {
+ oppositeSideTags[i].second.push_back(oppositeSides[i].second[j]->tag());
+ }
+ }
+
+ int count = 0;
+ unordered_map<GEdge*,int> old2new;
+ vector<GEdge*> new2old;
+ for (auto& kv: oppositeSides) {
+ for (GEdge* ge: merge(kv.first,kv.second)) {
+ auto it = old2new.find(ge);
+ if (it == old2new.end()) {
+ old2new[ge] = count;
+ new2old.push_back(ge);
+ count += 1;
+ }
+ }
+ }
+
+ /* Build continuous data */
+ vector<double> c_x_ideal(count,0.);
+ for (auto& kv: x_ideal) {
+ c_x_ideal[old2new[kv.first]] = kv.second;
+ }
+
+ /* In the dual graph,
+ * - a GEdge is a node
+ * - the opposite GEdge in a GFace are edges */
+ vector<vector<vector<int> > > node2side2nodes(count);
+ for (auto& kv: oppositeSides) {
+ /* Create a new side for each node */
+ for (GEdge* ge: merge(kv.first,kv.second)) {
+ int node = old2new[ge];
+ node2side2nodes[node].resize(node2side2nodes[node].size()+1);
+ }
+
+ /* Fill the side with the opposite nodes */
+ for (GEdge* ge1: kv.first) {
+ int node1 = old2new[ge1];
+ for (GEdge* ge2: kv.second) {
+ int node2 = old2new[ge2];
+
+ node2side2nodes[node1].back().push_back(node2);
+ node2side2nodes[node2].back().push_back(node1);
+ }
+ }
+ }
+
+ /* Greedy assignement in the graph */
+ vector<int> n(count, UNASSIGNED);
+ vector<int> tchord;
+ int EXISTING_TRANSFINITE = 0;
+ int OTHERS = 1;
+ for (int pass: {EXISTING_TRANSFINITE,OTHERS}) {
+ /* Order the unassigned edges, shorter ideal length first */
+ std::priority_queue<std::pair<double,int>, std::vector<std::pair<double,int> >, std::greater<std::pair<double,int> > > Q;
+ if (pass == EXISTING_TRANSFINITE) {
+ for (int e0 = 0; e0 < count; ++e0) if (n[e0] == UNASSIGNED ) {
+ if (new2old[e0]->meshAttributes.method == MESH_TRANSFINITE) {
+ Q.push({c_x_ideal[e0],e0});
+ }
+ }
+ } else {
+ for (int e0 = 0; e0 < count; ++e0) if (n[e0] == UNASSIGNED ) {
+ Q.push({c_x_ideal[e0],e0});
+ }
+ }
+
+ while (Q.size() > 0) {
+ int e0 = Q.top().second;
+ Q.pop();
+ if (n[e0] != UNASSIGNED) continue;
+ tchord.clear();
+ bool ok = tchordPropagation(node2side2nodes, e0, n, c_x_ideal, tchord);
+ if (!ok || tchord.size() == 0) continue;
+
+ vector<int> nLinesImposedFromTransfinite;
+ double avgDiff = 0.;
+ double minDiff = DBL_MAX;
+ double maxDiff = 0.;
+ for (int e: tchord) {
+ double current = (n[e] == UNASSIGNED) ? 0. : double(n[e]);
+ avgDiff += (c_x_ideal[e]-current);
+ minDiff = std::min(minDiff,c_x_ideal[e]-current);
+ maxDiff = std::max(maxDiff,c_x_ideal[e]-current);
+ if (new2old[e]->meshAttributes.method == MESH_TRANSFINITE) {
+ nLinesImposedFromTransfinite.push_back(new2old[e]->meshAttributes.nbPointsTransfinite-1);
+ }
+ }
+ avgDiff /= double(tchord.size());
+ int increment = 0;
+ sort_unique(nLinesImposedFromTransfinite);
+ if (nLinesImposedFromTransfinite.size() == 1) {
+ increment = nLinesImposedFromTransfinite[0];
+ } else if (nLinesImposedFromTransfinite.size() > 1) {
+ Msg::Error("curve quantization: incoherent imposed transfinite constraints");
+ continue;
+ } else {
+ increment = int(std::round(minDiff));
+ if (increment <= 0.) increment = 1;
+ }
+ DBG(tchord, increment);
+ for (int e: tchord) {
+ if (n[e] == UNASSIGNED) {
+ n[e] = increment;
+ } else {
+ n[e] += increment;
+ }
+ }
+
+ // int e0tag = new2old[e0]->tag();
+ // vector<int> tchordTags;
+ // for (int a: tchord) tchordTags.push_back(new2old[a]->tag());
+ // DBG(e0tag, ok, tchordTags, avgDiff, increment);
+ // {
+ // for (int a: tchord) {
+ // vec3 pt = gedgeCenter(new2old[a]);
+ // GeoLog::add({pt},0.,"chord_"+std::to_string(e0tag));
+ // }
+ // }
+ }
+ }
+
+ GeoLog::flush();
+
+ DBG(c_x_ideal);
+ DBG(n);
+
+ for (size_t i = 0; i < n.size(); ++i) if (n[i] > 0){
+ x[new2old[i]] = n[i];
+ }
+
+ return true;
+ }
+}
+
+
+const std::string BMESH_NAME = "bmesh_quadqs";
+
+int initialCurveQuantization(GModel* gm, double maxDiffNbLines,
+ std::unordered_map<GFace*,vector<GVertex*> >& faceCorners
+ ) {
+ std::vector<GFace*> faces = model_faces(gm);
+ std::vector<GEdge*> edges = model_edges(gm);
+
+ Msg::Debug("initial curve quantization (%li curves) ...", edges.size());
+
+
+ /* Collect opposite sides in the CAD */
+ vector<pair<vector<GEdge*>,vector<GEdge*> > > oppositeSides;
+ std::unordered_map<GEdge*,double> x_ideal;
+
+ for (GFace* gf: faces) {
+ if (CTX::instance()->mesh.meshOnlyVisible && !gf->getVisibility()) continue;
+ if (CTX::instance()->debugSurface > 0 && gf->tag() != CTX::instance()->debugSurface) continue;
+
+ GFaceInfo info;
+ bool okf = fillGFaceInfo(gf, info);
+ if (!okf) {
+ Msg::Debug("initial curve quantization: no triangles available");
+ return -1;
+ }
+
+ std::vector<std::vector<std::vector<std::pair<GEdge*,bool> > > > loopSideEdgesAndInv;
+ bool oksl = faceOrderedSideLoops(gf, info, loopSideEdgesAndInv);
+ if (!oksl) {
+ Msg::Debug("initial curve quantization: failed to get face ordered side loops for face %i", gf->tag());
+ continue;
+ }
+
+ DBG(isTopologicalDisk(info),haveConcaveCorners(info),info.bdrValVertices[1].size());
+
+ /* Rectangular face with 4 convex corners */
+ if (isTopologicalDisk(info) && !haveConcaveCorners(info)
+ && info.bdrValVertices[1].size() == 4) {
+ vector<pair<vector<GEdge*>,vector<GEdge*> > > GFoppositeSides;
+ size_t NS = 0;
+ for (size_t k = 0; k < 2; ++k) { /* direction */
+ double len_a = 0.;
+ double len_b = 0.;
+ int nl_a = 0;
+ int nl_b = 0;
+ size_t Na = 0;
+ size_t Nb = 0;
+ vector<GEdge*> side_a;
+ vector<GEdge*> side_b;
+ for (auto& kv: loopSideEdgesAndInv[0][k]) {
+ GEdge* ge = kv.first;
+ len_a += ge->length();
+ int npts = meshGEdgeTargetNumberOfPoints(ge);
+ if (npts >= 2) {
+ nl_a += (npts-1);
+ auto it = x_ideal.find(ge);
+ if (it == x_ideal.end()) x_ideal[ge] = double(nl_a);
+ }
+ Na += 1;
+ side_a.push_back(ge);
+ }
+ for (auto& kv: loopSideEdgesAndInv[0][k+2]) {
+ GEdge* ge = kv.first;
+ len_b += ge->length();
+ int npts = meshGEdgeTargetNumberOfPoints(ge);
+ if (npts >= 2) {
+ nl_b += (npts-1);
+ auto it = x_ideal.find(ge);
+ if (it == x_ideal.end()) x_ideal[ge] = double(nl_b);
+ }
+ Nb += 1;
+ side_b.push_back(ge);
+ }
+
+ if (len_a == 0 || len_b == 0) continue;
+
+ /* Check the difference in terms of number of lines */
+ double nl_diff_rel = std::abs(double(nl_a-nl_b)) / (double(std::max(nl_a,nl_b)));
+ double len_diff_rel = std::abs(double(len_a-len_b)) / (double(std::max(len_a,len_b)));
+ if (nl_diff_rel <= maxDiffNbLines) {
+ /* Want equality on opposite sides */
+ GFoppositeSides.push_back({side_a,side_b});
+ NS += 1;
+ }
+ }
+
+ if (NS == 2) { /* transfinite face, both direction equal */
+ std::vector<GVertex*> corners;
+ for (size_t k = 0; k < 4; ++k) {
+ for (auto& kv: loopSideEdgesAndInv[0][k]) {
+ GEdge* ge = kv.first;
+ bool inv = kv.second;
+ GVertex* gv1 = inv ? ge->vertices()[1] : ge->vertices()[0];
+ bool isCorner1 = std::find( info.bdrValVertices[1].begin(), info.bdrValVertices[1].end(), gv1) !=
+ info.bdrValVertices[1].end();
+ if (isCorner1) {
+ corners.push_back(gv1);
+ }
+ }
+ }
+ if (corners.size() != 4) {
+ Msg::Debug("curve quantization: face %i, wrong number of corners", gf->tag());
+ continue;
+ }
+ append(oppositeSides,GFoppositeSides);
+ faceCorners[gf] = corners;
+ }
+ }
+ }
+
+ if (oppositeSides.size() == 0) return 0;
+
+ unordered_map<GEdge*,int> n;
+ bool okq = QMT::solveQuantizationWithGreedyApproach(oppositeSides, x_ideal, n);
+ if (!okq) {
+ Msg::Error("failed to solve quantization with greedy approach");
+ return -1;
+ }
+
+ /* Transfinite constraints on curve */
+ for (auto& kv: n) {
+ if (kv.second > 0) {
+ GEdge* ge = kv.first;
+ int nLines = kv.second;
+ if (ge->meshAttributes.method != MESH_TRANSFINITE) {
+ ge->meshAttributes.method = MESH_TRANSFINITE;
+ ge->meshAttributes.typeTransfinite = 4; /* use size map for positions */
+ ge->meshAttributes.nbPointsTransfinite = nLines + 1;
+ Msg::Debug("- set transfinite on curve %i (%i points)", ge->tag(), nLines+1);
+ }
+ }
+ }
+
+ return 0;
+}
+
+
+
+int setQuadqsTransfiniteConstraints(GModel* gm, double maxDiffNbLines) {
+ Msg::Debug("set quadqs transfinite constraints ...");
+
+ std::unordered_map<GFace*,vector<GVertex*> > faceCorners;
+
+ int si = initialCurveQuantization(gm, maxDiffNbLines, faceCorners);
+ if (si != 0) return si;
+
+ for (GFace* gf: gm->getFaces()) {
+ bool allTransfi = true;
+ for (GEdge* ge: gf->edges()) {
+ if (ge->meshAttributes.method != MESH_TRANSFINITE) allTransfi = false;
+ }
+ if (allTransfi) {
+ gf->meshAttributes.method = MESH_TRANSFINITE;
+ gf->meshAttributes.transfiniteArrangement = 1; /* Right */
+ gf->meshAttributes.recombine = 1;
+ gf->meshAttributes.recombineAngle = 45.;
+ auto it = faceCorners.find(gf);
+ if (it != faceCorners.end()) {
+ std::vector<GVertex*> corners = it->second;
+ gf->meshAttributes.corners = corners; /* warning: must be ordered ! */
+ }
+ Msg::Debug("- set transfinite on surface %i", gf->tag());
+ }
+ }
+
+ return 0;
+}
diff --git a/contrib/QuadMeshingTools/qmtCurveQuantization.h b/contrib/QuadMeshingTools/qmtCurveQuantization.h
new file mode 100644
index 0000000000000000000000000000000000000000..3640d28f0deb4c033ed0be1060af0cd57ad7ac35
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtCurveQuantization.h
@@ -0,0 +1,34 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#pragma once
+
+class GModel;
+
+/**
+ *
+ * WARNING: work in progress, NOT READY for generic usage
+ *
+ *
+ * @brief Determine the number of points on each GEdge
+ * for quad meshing. Try to match the opposite
+ * sides to get regular meshes.
+ * The GEdge meshing properties are changed and
+ * some GEdge are set to transfinite.
+ * The GFace whose boundary curves are all transfinite
+ * are set to transfinite.
+ * Requires a mesh. Use the existing GFace meshes
+ * or a background mesh if available.
+ *
+ * @param gm The model containing the curves
+ * @param maxDiffNbLines Two opposite sides are constrained to the
+ * same number of lines if their relative difference
+ * is inferior to this threshold.
+ *
+ * @return 0 if success
+ */
+int setQuadqsTransfiniteConstraints(GModel* gm, double maxDiffNbLines = 0.25);
diff --git a/contrib/QuadMeshingTools/qmtDiskQuadrangulationRemeshing.cpp b/contrib/QuadMeshingTools/qmtDiskQuadrangulationRemeshing.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..50017e4d440b51dcec1e8eb83f8ee39c5365c2fd
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtDiskQuadrangulationRemeshing.cpp
@@ -0,0 +1,488 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#include "qmtDiskQuadrangulationRemeshing.h"
+
+/* System includes */
+// #include <vector>
+// #include <array>
+// #include <unordered_map>
+// #include <cstdint>
+// #include <cmath>
+// #include <queue>
+// #include <algorithm>
+
+/* Gmsh includes */
+#include "GmshMessage.h"
+#include "OS.h"
+#include "GVertex.h"
+#include "GEdge.h"
+#include "GFace.h"
+#include "GModel.h"
+#include "MVertex.h"
+#include "MLine.h"
+#include "MElement.h"
+#include "MTriangle.h"
+#include "MQuadrangle.h"
+#include "BackgroundMesh.h"
+#include "StringUtils.h"
+
+/* QuadMeshingTools includes */
+#include "cppUtils.h"
+#include "qmtMeshUtils.h"
+#include "qmtMeshGeometryOptimization.h"
+#include "dataDiskQuadrangulationsSplit.hpp" // list of disk quadrangulations as many strings
+
+using namespace CppUtils;
+
+constexpr bool PARANO_QUALITY = false;
+
+namespace QMT {
+ using id = uint32_t;
+ using id4 = std::array<id,4>;
+
+ struct vidHash {
+ size_t operator()(const std::vector<id>& p) const noexcept {
+ uint32_t hash = 0;
+ for (size_t i = 0; i < p.size(); ++i) {
+ hash += p[i];
+ hash += hash << 10;
+ hash ^= hash >> 6;
+ }
+ hash += hash << 3;
+ hash ^= hash >> 11;
+ hash += hash << 15;
+ return hash;
+ }
+ };
+
+ using std::vector;
+ using std::unordered_map; /* robin_hood unordered_map much faster */
+ using Quadrangulation = std::vector< std::array<id,4> >;
+
+ vector<vector<Quadrangulation> > B_disk_quadrangulations;
+ vector<unordered_map<vector<id>, vector<id>, vidHash > > B_BVL_ids;
+
+ bool load_disk_quadrangulations_from_raw_data() {
+ if (B_disk_quadrangulations.size() != 0) return false;
+
+ Msg::Info("loading disk quadrangulations ...");
+ B_disk_quadrangulations.reserve(20);
+ B_BVL_ids.reserve(20);
+ // std::string data(disk_quadrangulations);
+ std::string data;
+ diskQuadrangulationConcat(data);
+ vector<std::string> lines = SplitString(data,'\n');
+ Quadrangulation qdrl;
+ vector<std::string> numbers;
+ vector<id> bdrValLoop;
+ for (size_t i = 0; i < lines.size(); ++i) {
+ numbers = SplitString(lines[i],' ');
+ if (numbers.size() < 7) continue;
+ size_t B = std::stoi(numbers[0]);
+ size_t I = std::stoi(numbers[1]);
+ size_t Q = std::stoi(numbers[2]);
+ if (numbers.size() != 3 + 4 * Q) {
+ Msg::Warning("load_disk_quadrangulations | wrong sizes: B=%li, I=%li, Q=%li and numbers.size = %li",
+ B, I, Q, numbers.size());
+ continue;
+ }
+ qdrl.resize(Q);
+ for (size_t j = 0; j < Q; ++j) {
+ for (size_t lv = 0; lv < 4; ++lv) {
+ qdrl[j][lv] = std::stoi(numbers[3 + 4 * j + lv]);
+ }
+ }
+
+ if (B >= B_disk_quadrangulations.size()) {
+ B_disk_quadrangulations.resize(B+1);
+ B_disk_quadrangulations[B].reserve(1000);
+ B_BVL_ids.resize(B+1);
+ }
+
+ id qId = B_disk_quadrangulations[B].size();
+ B_disk_quadrangulations[B].push_back(qdrl);
+
+ /* Assumes:
+ * - first B vertices are on the boundary
+ * - canonical valence ordering according to boundary valence loop
+ * (should be compatible with the generator) */
+ bdrValLoop.clear();
+ bdrValLoop.resize(B,0);
+ for (size_t j = 0; j < Q; ++j) for (size_t lv = 0; lv < 4; ++lv){
+ id v = qdrl[j][lv];
+ if (v < B) bdrValLoop[v] += 1;
+ }
+ B_BVL_ids[B][bdrValLoop].push_back(qId);
+ }
+ Msg::Info("%li disk quadrangulations loaded", lines.size());
+ return true;
+ }
+
+ bool computeQuadMeshValences(const vector<id4>& quads, vector<int>& valence) {
+ valence.clear();
+ valence.reserve(quads.size()*4);
+ for (size_t f = 0; f < quads.size(); ++f) for (size_t lv = 0; lv < 4; ++lv) {
+ size_t v = quads[f][lv];
+ if (v >= valence.size()) valence.resize(v+1,0);
+ valence[v] += 1;
+ }
+ return true;
+ }
+
+ double computeIrregularity(
+ const vector<id4>& quads,
+ const vector<int>& valence,
+ const std::vector<int>& bndIdealValence,
+ const std::vector<std::pair<int,int> >& bndAllowedValenceRange)
+ {
+ double irregularity = 0.;
+ /* Boundary vertices */
+ for (size_t bv = 0; bv < bndIdealValence.size(); ++bv) {
+ if (valence[bv] < bndAllowedValenceRange[bv].first) return DBL_MAX;
+ if (valence[bv] > bndAllowedValenceRange[bv].second) return DBL_MAX;
+ if (bndIdealValence[bv] <= 1 && valence[bv] >= 2) { /* probably making a 6+ ... */
+ irregularity += 1000;
+ } else {
+ irregularity += 10*std::pow(bndIdealValence[bv]-valence[bv],2);
+ }
+ }
+ /* Interior vertices */
+ for (size_t iv = bndIdealValence.size(); iv < valence.size(); ++iv) {
+ irregularity += std::pow(4-valence[iv],2);
+ }
+ return irregularity;
+ }
+
+
+ bool computeBestMatchingConfiguration(
+ const vector<id4>& quads,
+ const vector<int>& valence,
+ const vector<int>& bndIdealValence,
+ const vector<std::pair<int,int> >& bndAllowedValenceRange,
+ int& rotation,
+ double& irregularity)
+ {
+ double best = DBL_MAX;
+ int rot = 0;
+ vector<int> biv = bndIdealValence;
+ vector<std::pair<int,int>> bav = bndAllowedValenceRange;
+
+ /* Initial config */
+ {
+ double irreg = computeIrregularity(quads, valence, biv, bav);
+ if (irreg < best) {
+ best = irreg;
+ rotation = rot;
+ }
+ }
+
+ /* Forward rotation */
+ for (size_t r = 1; r < biv.size(); ++r) {
+ rot += 1;
+ std::rotate(biv.begin(),biv.begin()+1,biv.end());
+ std::rotate(bav.begin(),bav.begin()+1,bav.end());
+ double irreg = computeIrregularity(quads, valence, biv, bav);
+ if (irreg < best) {
+ best = irreg;
+ rotation = rot;
+ }
+ }
+
+ /* Try in reverse order */
+ rot = 0;
+ biv = bndIdealValence;
+ bav = bndAllowedValenceRange;
+ std::reverse(biv.begin(),biv.end());
+ std::reverse(bav.begin(),bav.end());
+ for (size_t r = 1; r < biv.size(); ++r) {
+ rot -= 1;
+ std::rotate(biv.begin(),biv.begin()+1,biv.end());
+ std::rotate(bav.begin(),bav.begin()+1,bav.end());
+ double irreg = computeIrregularity(quads, valence, biv, bav);
+ if (irreg < best) {
+ best = irreg;
+ rotation = rot;
+ }
+ }
+
+ irregularity = best;
+ return (best != DBL_MAX);
+ }
+
+ /* WARNING: GFace is not modified, just the "floating" MVertex
+ * and MQuadrangle are created, they must be inserted in the GFace
+ * later is the pattern is kept.
+ * The vertex positions are random ! Need geometric smoothing after */
+ bool getDiskQuadrangulationRemeshing(
+ GFace* gf,
+ const std::vector<MVertex*>& bnd,
+ int rotation, /* rotation to apply to input */
+ const std::vector<id4>& quads, /* pattern */
+ std::vector<MVertex*> & newVertices, /* new vertices inside the cavity */
+ std::vector<MElement*> & newElements /* new quads inside the cavity */
+ ) {
+ if (bnd.size() < 4) return false;
+
+ const double EPS_RANDOM = 1.e-16;
+
+ std::vector<MVertex*> bndr = bnd;
+ if (rotation > 0) {
+ std::rotate(bndr.begin(),bndr.begin()+(size_t)rotation,bndr.end());
+ } else if (rotation < 0) {
+ std::reverse(bndr.begin(),bndr.end());
+ std::rotate(bndr.begin(),bndr.begin()+(size_t) std::abs(rotation),bndr.end());
+ }
+
+ /* Default position/uv for new vertices */
+ SPoint3 defaultPoint;
+ SPoint2 defaultParam;
+ size_t num = (size_t) -1;
+ for (MVertex* v: bnd) {
+ if (v->onWhat() == gf && v->getNum() < num) {
+ defaultPoint = v->point();
+ v->getParameter(0,defaultParam[0]);
+ v->getParameter(1,defaultParam[1]);
+ num = v->getNum();
+ }
+ }
+ if (num == (size_t) -1) { /* No bdr vertex inside face */
+ defaultPoint = bndr[0]->point();
+ reparamMeshVertexOnFace(bndr[0], gf, defaultParam);
+ }
+
+ size_t count = 1;
+ unordered_map<id,MVertex*> pv2mv;
+ for (size_t f = 0; f < quads.size(); ++f) {
+ std::array<MVertex*,4> vert;
+ for (size_t lv = 0; lv < 4; ++lv) {
+ size_t pv = quads[f][lv];
+ if (pv < bndr.size()) {
+ vert[lv] = bndr[pv];
+ } else {
+ auto it = pv2mv.find(pv);
+ if (it == pv2mv.end()) {
+ SVector3 p = defaultPoint;
+ p.data()[0] += count * EPS_RANDOM;
+ p.data()[1] += count * EPS_RANDOM;
+ p.data()[2] += count * EPS_RANDOM;
+ double uv[2] = {defaultParam.x(),defaultParam.y()};
+ uv[0] = uv[0] + count * EPS_RANDOM;
+ uv[1] = uv[1] + count * EPS_RANDOM;
+ MVertex *mv = new MFaceVertex(p.x(),p.y(),p.z(),gf,uv[0],uv[1]);
+ pv2mv[pv] = mv;
+ vert[lv] = mv;
+ newVertices.push_back(mv);
+ count += 1;
+ } else {
+ vert[lv] = it->second;
+ }
+ }
+ }
+ if (rotation < 0) { /* revert quad to keep coherent orientation */
+ std::reverse(vert.begin(),vert.end());
+ }
+ MQuadrangle *q = new MQuadrangle (vert[0],vert[1],vert[2],vert[3]);
+ newElements.push_back(q);
+ }
+
+ /* Ensure coherent orientation between the new mesh and the boundary */
+ bool oko = orientElementsAccordingToBoundarySegment(bnd[0],bnd[1], newElements);
+ if (!oko) {
+ Msg::Error("getDiskQuadrangulationRemeshing: bdr quad edge not found, weird");
+ return false;
+ }
+
+ return true;
+ }
+
+ bool smallCavitySmoothing(GFaceMeshPatch& patch,
+ SurfaceProjector* sp, bool invertNormalsForQuality,
+ GeomOptimStats& stats) {
+ if (patch.intVertices.size() == 0) {
+ computeSICN(patch.elements, stats.sicnMinBefore, stats.sicnAvgBefore);
+ computeSICN(patch.elements, stats.sicnMinAfter, stats.sicnAvgAfter);
+ return true;
+ }
+
+
+ bool cadInitOk = false;
+ if (haveNiceParametrization(patch.gf)) {
+ PatchGeometryBackup backup(patch);
+ /* Try pure UV smoothing in parameter space */
+ int s0 = patchOptimizeGeometryGlobal(patch, stats);
+ if (stats.sicnMinAfter > 0.) {
+ cadInitOk = true;
+ } else {
+ backup.restore();
+ }
+ }
+
+ /* Kernel smoothing (in parameter space or in 3D space with proj.) */
+ GeomOptimOptions opt;
+ opt.invertCADNormals = invertNormalsForQuality;
+ opt.localLocking = true;
+ opt.dxLocalMax = 1.e-5;
+ opt.outerLoopIterMax = 100;
+ opt.timeMax = 0.25 * double(patch.intVertices.size());
+ if (cadInitOk) {
+ opt.force3DwithProjection = false;
+ opt.useDmoIfSICNbelow = 0.5;
+ } else {
+ opt.sp = sp;
+ opt.force3DwithProjection = true;
+ }
+
+ bool okk = patchOptimizeGeometryWithKernel(patch, opt, stats);
+ return okk;
+ }
+
+}
+
+using namespace QMT;
+
+int initDiskQuadrangulations() {
+ bool ok = load_disk_quadrangulations_from_raw_data();
+ if (!ok) return -1;
+ return 0;
+}
+
+int remeshLocalWithDiskQuadrangulation(
+ GFace* gf,
+ const std::vector<MElement*>& elements,
+ const std::vector<MVertex*>& intVertices,
+ const std::vector<MVertex*>& bdrVertices,
+ const std::vector<int>& bndIdealValence,
+ const std::vector<std::pair<int,int> >& bndAllowedValenceRange,
+ const std::vector<MElement*>& neighborsForGeometry,
+ double minSICNrequired,
+ bool invertNormalsForQuality,
+ SurfaceProjector* sp,
+ GFaceMeshDiff& diff) {
+ if (QMT::B_disk_quadrangulations.size() == 0) {
+ Msg::Error("Missing disk quadrangulation database, call initDiskQuadrangulations() before");
+ return -1;
+ }
+ if (bdrVertices.size() == 0) {
+ Msg::Error("disk quadrangulation remeshing: no boundary vertices", bdrVertices.size());
+ return -1;
+ }
+
+
+ /* Get disk quadrangulations with the same boundary size */
+ const vector<vector<id4> >* small_patterns = NULL;
+ if (bdrVertices.size() < B_disk_quadrangulations.size() && B_disk_quadrangulations[bdrVertices.size()].size() > 0) {
+ small_patterns = &(B_disk_quadrangulations[bdrVertices.size()]);
+ } else {
+ // TODO: a simple remeshing by using parallel quads ?
+ Msg::Warning("disk quadrangulation remeshing: no pattern for input boundary loop size (%li bdr vertices)",
+ bdrVertices.size());
+ return -1;
+ }
+ const vector<vector<id4> >& qmeshes = *small_patterns;
+
+
+ /* For each disk quadrangulation, compute vertex valence and
+ * check matching with input patch, considering all rotations.
+ * Store the compatible matchings with their irregularity score. */
+ vector<int> valence;
+ std::vector<std::pair<double,std::pair<size_t,int> > > irregularity_pattern_rotation;
+ for (size_t i = 0; i < qmeshes.size(); ++i) {
+ const vector<id4>& quads = qmeshes[i];
+ computeQuadMeshValences(quads, valence);
+ double irregularity = DBL_MAX;
+ int rotation = 0;
+ bool found = computeBestMatchingConfiguration(quads, valence, bndIdealValence, bndAllowedValenceRange, rotation, irregularity);
+ if (found) {
+ irregularity_pattern_rotation.push_back({irregularity,{i,rotation}});
+ }
+ }
+ if (irregularity_pattern_rotation.size() == 0) {
+ Msg::Debug("disk quadrangulation remeshing: no pattern matching input allowed valence range (%li bdr vertices)",
+ bdrVertices.size());
+ return -1; /* no pattern matching allowed valence range */
+ }
+ std::sort(irregularity_pattern_rotation.begin(),irregularity_pattern_rotation.end());
+
+ /* Keep the best pattern for which it is possible to find a
+ * untangled and sufficient quality geometry */
+ size_t N = 5; /* maximum number of pattern tested */
+ if (irregularity_pattern_rotation.size() < N) N = irregularity_pattern_rotation.size();
+
+ bool geometryOk = false;
+ for (size_t i = 0; i < N; ++i) {
+ size_t no = irregularity_pattern_rotation[i].second.first;
+ int rotation = irregularity_pattern_rotation[i].second.second;
+ const vector<id4>& quads = qmeshes[no];
+
+ /* New GFace mesh patch */
+ GFaceMeshPatch patch;
+ patch.gf = gf;
+ patch.bdrVertices = {bdrVertices};
+
+ bool ok = getDiskQuadrangulationRemeshing(gf, bdrVertices,
+ rotation, quads, patch.intVertices, patch.elements);
+ if (!ok) {
+ Msg::Debug("disk quandrangulation remeshing: failed to remesh small cavity");
+ continue;
+ }
+ Msg::Debug("disk quadrangulation remeshing: try %li/%li, dq=[%li,%i], %li bdr, %i->%i int vertices, %i->%i quads",
+ i, N, no, rotation, patch.bdrVertices.front().size(), intVertices.size(), patch.intVertices.size(), elements.size(), patch.elements.size());
+
+ /* Try to only move the interior vertices (in general, it is not enough) */
+ {
+ GeomOptimStats stats;
+ bool oks = smallCavitySmoothing(patch, sp, invertNormalsForQuality, stats);
+ if (oks && stats.sicnMinAfter > minSICNrequired) {
+ geometryOk = true;
+ diff.after = patch; /* set the diff output ! */
+ break;
+ }
+ }
+
+ /* Try to move the interior and bdr vertices (which are not on CAD curve/corner) */
+ {
+ std::vector<MElement*> largerElements = patch.elements;
+ append(largerElements, neighborsForGeometry);
+ GFaceMeshPatch largerPatch;
+ bool okp = patchFromElements(gf, largerElements, largerPatch);
+ if (!okp || largerPatch.intVertices.size() == 0) continue;
+
+ PatchGeometryBackup bdrBackup(largerPatch);
+
+ Msg::Debug("try smoothing the extended cavity (%li -> %li free vertices)",
+ patch.intVertices.size(), largerPatch.intVertices.size());
+
+ GeomOptimStats stats;
+ bool oks = smallCavitySmoothing(largerPatch, sp, invertNormalsForQuality, stats);
+ if (oks && stats.sicnMinAfter > minSICNrequired) {
+ geometryOk = true;
+ diff.after = patch; /* set the diff output (the patch, not the largerPatch) ! */
+ break;
+ } else {
+ /* restore boundary positions */
+ bdrBackup.restore();
+ }
+ }
+ }
+
+ if (!geometryOk) {
+ Msg::Debug("disk quadrangulation remeshing: failed to find valid geometry (%li bdr vertices)",
+ bdrVertices.size());
+ return -1;
+ }
+
+ /* set the diff input */
+ diff.gf = gf;
+ diff.before.gf = gf;
+ diff.before.elements = elements;
+ diff.before.intVertices = intVertices;
+ diff.before.bdrVertices = {bdrVertices};
+
+
+ return 0;
+}
diff --git a/contrib/QuadMeshingTools/qmtDiskQuadrangulationRemeshing.h b/contrib/QuadMeshingTools/qmtDiskQuadrangulationRemeshing.h
new file mode 100644
index 0000000000000000000000000000000000000000..6094b862d99bbee760c677940ac9c4fbe548c55d
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtDiskQuadrangulationRemeshing.h
@@ -0,0 +1,58 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#pragma once
+
+#include "qmtMeshUtils.h"
+
+
+class SurfaceProjector;
+
+/**
+ * @brief Parse the disk quadrangulation list at runtime.
+ * Must be called one-time before using remeshLocalWithDiskQuadrangulation()
+ *
+ * @return 0 if success
+ */
+int initDiskQuadrangulations();
+
+/**
+ * @brief Look for the best topological disk quadrangulation remeshing
+ * which match the allowed valence ranges.
+ * Requires that the disk quadrangulation data is initialized, see initDiskQuadrangulations()
+ * The GFace mesh is not changed, the changes are stored in the diff
+ * which can executed by the caller.
+ *
+ * @param[in] gf CAD face containing the elements
+ * @param[in] elements Elements (triangles or quads) in the input patch. May be empty
+ * @param[in] intVertices Interior vertices in the input patch. May be empty
+ * @param[in] bdrVertices Patch ordered boundary vertex loop, minimum 4 vertices
+ * @param[in] bndIdealValence The ideal inside quad valence for the boundary corners
+ * @param[in] bndAllowedValenceRange The allowed range of inside quad valence
+ * @param[in] neighborsForGeometry Adjacent elements that may be used for geometry untangling
+ * @param[in] minSICNafer Minimum SICN quality required in the remeshed patch.
+ * Compared after geometry untangling/smoothing.
+ * @param[in] invertNormalsForQuality The CAD normals are used to compute signed quality.
+ * This flag invert invert the CAD normals in the measure.
+ * @param[in] sp If not nullptr, the surface projector is used instead of the CAD parametrization
+ * in the smoothing. Required if there is no surface parametrization.
+ * @param[out] diff The mesh diff (to the GFace) containing the remeshing candidate
+ *
+ * @return 0 if a valid remeshing has been found
+ */
+int remeshLocalWithDiskQuadrangulation(
+ GFace* gf,
+ const std::vector<MElement*>& elements,
+ const std::vector<MVertex*>& intVertices,
+ const std::vector<MVertex*>& bdrVertices,
+ const std::vector<int>& bndIdealValence,
+ const std::vector<std::pair<int,int> >& bndAllowedValenceRange,
+ const std::vector<MElement*>& neighborsForGeometry,
+ double minSICNafer,
+ bool invertNormalsForQuality,
+ SurfaceProjector* sp,
+ GFaceMeshDiff& diff);
diff --git a/contrib/QuadMeshingTools/qmtMeshGeometryOptimization.cpp b/contrib/QuadMeshingTools/qmtMeshGeometryOptimization.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..2414658d913f36cc232f0a49351c87fecbb5ffae
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtMeshGeometryOptimization.cpp
@@ -0,0 +1,1581 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#include "qmtMeshGeometryOptimization.h"
+
+/* System includes */
+// #include <vector>
+// #include <array>
+// #include <unordered_map>
+// #include <cstdint>
+// #include <cmath>
+// #include <queue>
+// #include <algorithm>
+
+/* Gmsh includes */
+#include "GmshMessage.h"
+#include "OS.h"
+#include "GVertex.h"
+#include "GEdge.h"
+#include "GFace.h"
+#include "GModel.h"
+#include "MVertex.h"
+#include "MLine.h"
+#include "MElement.h"
+#include "MTriangle.h"
+#include "MQuadrangle.h"
+#include "robin_hood.h"
+#include "meshOctreeLibOL.h"
+#include "Context.h"
+#include "gmsh.h" // api
+
+/* QuadMeshingTools includes */
+#include "cppUtils.h"
+#include "qmtMeshUtils.h"
+#include "arrayGeometry.h"
+#include "geolog.h"
+
+#if defined(HAVE_EIGEN)
+#include<Eigen/SparseLU>
+#include<Eigen/IterativeLinearSolvers>
+#endif
+
+constexpr bool DBG_VIZU_K = false;
+constexpr bool DBG_VIZU_G = false;
+
+using namespace CppUtils;
+using namespace ArrayGeometry;
+
+using std::vector;
+using vec4 = std::array<double,4>;
+using vec5 = std::array<double,5>;
+
+template <typename Key, typename T, typename Hash = robin_hood::hash<Key>,
+ typename KeyEqual = std::equal_to<Key>, size_t MaxLoadFactor100 = 80>
+ using unordered_map = robin_hood::detail::Table<true, MaxLoadFactor100, Key, T, Hash, KeyEqual>;
+
+template <typename Key, typename Hash = robin_hood::hash<Key>, typename KeyEqual = std::equal_to<Key>,
+ size_t MaxLoadFactor100 = 80>
+ using unordered_set = robin_hood::detail::Table<true, MaxLoadFactor100, Key, void, Hash, KeyEqual>;
+
+namespace QMT {
+ constexpr size_t NO_SIZE_T = (size_t) -1;
+
+ bool SHOW_QUALITY = false; /* Debug only */
+
+ inline bool kernelWinslowSpecialStencil(const vec3 ptsStencil[8], vec3& newPos) {
+ /* Stencil:
+ * 6---1---4
+ * | | |
+ * 2--- ---0
+ * | | |
+ * 7---3---5
+ */
+ /* warning: 2D stencil but 3D coordinates */
+ const double hx = 1.;
+ const double hy = 1.;
+
+ /* 1. Compute the winslow coefficients (alpha_i, beta_i in the Karman paper) */
+ /* a. Compute first order derivatives of the position */
+ vec3 r_i[2];
+ r_i[0] = 1./hx * (ptsStencil[0] - ptsStencil[2]);
+ r_i[1] = 1./hy * (ptsStencil[1] - ptsStencil[3]);
+ /* b. Compute the alpha_i coefficients */
+ const double alpha_0 = dot(r_i[1],r_i[1]);
+ const double alpha_1 = dot(r_i[0],r_i[0]);
+ /* c. Compute the beta coefficient */
+ const double beta = dot(r_i[0],r_i[1]);
+
+ /* cross derivative */
+ const vec3 u_xy = 1./(4.*hx*hy) * (ptsStencil[4]+ptsStencil[7]-ptsStencil[6]-ptsStencil[5]);
+
+ /* 2. Compute the "winslow new position" */
+ const double denom = 2. * alpha_0 / (hx*hx) + 2. * alpha_1 / (hy*hy);
+ if (std::abs(denom) < 1.e-18) return false;
+ newPos = 1. / denom * (
+ alpha_0/(hx*hx) * (ptsStencil[0] + ptsStencil[2])
+ + alpha_1/(hy*hy) * (ptsStencil[1] + ptsStencil[3])
+ - 2. * beta * u_xy
+ );
+ return true;
+ }
+
+ inline bool kernelWinslow(const std::array<vec3,8>& stencil, vec3& newPos) {
+ /* Continuous ordering in input stencil */
+ const std::array<uint32_t,8> o2n = {0, 2, 4, 6, 1, 7, 3, 5};
+ const std::array<vec3,8> winStencil = {
+ stencil[o2n[0]], stencil[o2n[1]], stencil[o2n[2]], stencil[o2n[3]],
+ stencil[o2n[4]], stencil[o2n[5]], stencil[o2n[6]], stencil[o2n[7]]};
+ return kernelWinslowSpecialStencil(winStencil.data(), newPos);
+ }
+
+ bool kernelLaplacian(const std::vector<vec3>& points, vec3& newPos) {
+ const size_t N = points.size();
+ if (N == 0) return false;
+ newPos = {0.,0.,0.};
+ for (size_t i = 0; i < N; ++i) {
+ newPos = newPos + points[i];
+ }
+ newPos = 1./double(N) * newPos;
+ return true;
+ }
+
+ bool kernelAngleBased(const vec3& center, const std::vector<vec3>& points, vec3& newPos) {
+ const size_t N = points.size();
+ std::vector<vec3> rotated(N);
+ std::vector<double> angles(N);
+ double sum_angle = 0.;
+ for (size_t i = 0; i < N; ++i) {
+ const vec3& prev = points[(N+i-1)%N];
+ const vec3& cur = points[i];
+ const vec3& next = points[(i+1)%N];
+ vec3 oldDir = (center - cur);
+ double len = length(oldDir);
+ if (len == 0.) return false;
+ vec3 d1 = prev-cur;
+ if (length2(d1) == 0.) return false;
+ vec3 d2 = next-cur;
+ if (length2(d2) == 0.) return false;
+ normalize(d1);
+ normalize(d2);
+ vec3 newDir = d1+d2;
+ if (length2(newDir) == 0.) return false;
+ normalize(newDir);
+ if (dot(newDir,oldDir) < 0.) {
+ newDir = -1. * newDir;
+ }
+ rotated[i] = cur + len * newDir;
+ normalize(oldDir);
+ double agl = angleVectorsAlreadyNormalized(newDir,oldDir);
+ angles[i] = agl;
+ sum_angle += agl;
+ }
+ if (sum_angle == 0.) return false;
+ newPos.data()[0] = 0.;
+ newPos.data()[1] = 0.;
+ newPos.data()[2] = 0.;
+ for (size_t i = 0; i < N; ++i) {
+ double w = angles[i] / sum_angle;
+ // double w = 1./double(N);
+ newPos = newPos + w * rotated[i];
+ }
+ return true;
+ }
+
+ std::array<vec3,8> fillStencilRegular(
+ size_t v,
+ const std::vector<vec3>& points,
+ const std::vector<size_t>& one_ring_first,
+ const std::vector<uint32_t>& one_ring_values) {
+ return std::array<vec3,8>{
+ points[one_ring_values[one_ring_first[v]+0]],
+ points[one_ring_values[one_ring_first[v]+1]],
+ points[one_ring_values[one_ring_first[v]+2]],
+ points[one_ring_values[one_ring_first[v]+3]],
+ points[one_ring_values[one_ring_first[v]+4]],
+ points[one_ring_values[one_ring_first[v]+5]],
+ points[one_ring_values[one_ring_first[v]+6]],
+ points[one_ring_values[one_ring_first[v]+7]]
+ };
+ }
+
+ void fillStencilIrregular(
+ size_t v,
+ const std::vector<vec3>& points,
+ const std::vector<size_t>& one_ring_first,
+ const std::vector<uint32_t>& one_ring_values,
+ std::vector<vec3>& stencil,
+ bool oneOverTwo = false) {
+ if (oneOverTwo) {
+ size_t n = (one_ring_first[v+1]-one_ring_first[v])/2;
+ stencil.resize(n);
+ for (size_t i = 0; i < stencil.size(); ++i) {
+ stencil[i] = points[one_ring_values[one_ring_first[v]+2*i]];
+ }
+ } else {
+ stencil.resize(one_ring_first[v+1]-one_ring_first[v]);
+ for (size_t i = 0; i < stencil.size(); ++i) {
+ stencil[i] = points[one_ring_values[one_ring_first[v]+i]];
+ }
+ }
+ }
+
+ double stencilAverageLength(const std::array<vec3,8>& stencil) {
+ double avg = 0.;
+ const uint32_t N = stencil.size();
+ for (uint32_t i = 0; i < N; ++i) {
+ const vec3& p0 = stencil[i];
+ const vec3& p1 = stencil[(i+1)%N];
+ avg += length(p1-p0);
+ }
+ avg /= double(N);
+ return avg;
+ }
+
+ double stencilAverageLength(const std::vector<vec3>& stencil) {
+ double avg = 0.;
+ const uint32_t N = stencil.size();
+ for (uint32_t i = 0; i < N; ++i) {
+ const vec3& p0 = stencil[i];
+ const vec3& p1 = stencil[(i+1)%N];
+ avg += length(p1-p0);
+ }
+ avg /= double(N);
+ return avg;
+ }
+
+ /* p0, p1, p2, p3: the four (ordered and oriented) corners
+ * Quad normal reference computed from the corners. Element should not
+ * be inverted or too tangled */
+ inline double quad_shape_ln(const vec3& p0, const vec3& p1, const vec3& p2, const vec3& p3) {
+ /* Based on Sandia Verdict document */
+ constexpr double EPS = 1.e-16;
+ constexpr double EPS2 = EPS*EPS;
+ const vec3 L0 = p1 - p0;
+ const vec3 L1 = p2 - p1;
+ const vec3 L2 = p3 - p2;
+ const vec3 L3 = p0 - p3;
+ const vec3 X1 = L0 - L2;
+ const vec3 X2 = L1 - L3;
+ vec3 Nc = cross(X1,X2);
+ const double lenNc_sq = length2(Nc);
+ if (lenNc_sq < EPS2) return -1.;
+ normalize(Nc);
+ const double len0_sq = length2(L0);
+ const double len1_sq = length2(L1);
+ const double len2_sq = length2(L2);
+ const double len3_sq = length2(L3);
+ if (len0_sq < EPS2 || len1_sq < EPS2 || len2_sq < EPS2 || len3_sq < EPS2) return 0.;
+ const vec3 N0 = cross(L3,L0);
+ const vec3 N1 = cross(L0,L1);
+ const vec3 N2 = cross(L1,L2);
+ const vec3 N3 = cross(L2,L3);
+ const double a0 = dot(Nc,N0); /* bad if non planar quad ? */
+ const double a1 = dot(Nc,N1);
+ const double a2 = dot(Nc,N2);
+ const double a3 = dot(Nc,N3);
+ const double q0 = a0/(len3_sq+len0_sq);
+ const double q1 = a1/(len0_sq+len1_sq);
+ const double q2 = a2/(len1_sq+len2_sq);
+ const double q3 = a3/(len2_sq+len3_sq);
+ if (SHOW_QUALITY && (q0 < 0 || q1 < 0 || q2 < 0 || q3 < 0)) {
+ vec3 mid = (p0+p1+p2+p3)*0.25;
+ DBG(q0,q1,q2,q3);
+ GeoLog::add(mid,Nc,"Nc");
+ GeoLog::add(p0,N0,"Ni");
+ GeoLog::add(p1,N1,"Ni");
+ GeoLog::add(p2,N2,"Ni");
+ GeoLog::add(p3,N3,"Ni");
+ GeoLog::add({p0,p1,p2,p3},0.,"quad");
+ GeoLog::flush();
+ gmsh::fltk::run();
+ abort();
+ }
+ return 2.*std::min(std::min(q0,q1),std::min(q2,q3));
+ }
+
+
+ inline double stencilQualitySICNmin(
+ const vec3& center,
+ const std::array<vec3,8>& stencil,
+ double breakIfBelowThreshold = -DBL_MAX) {
+ double qmin = DBL_MAX;
+ constexpr uint32_t N = 4;
+ for (uint32_t i = 0; i < N; ++i) {
+ const vec3& p0 = stencil[2*i+0];
+ const vec3& p1 = stencil[2*i+1];
+ const size_t i2 = (2*i+2)%(2*N);
+ const vec3& p2 = stencil[i2];
+ const double q = quad_shape_ln(p0,p1,p2,center);
+ qmin = std::min(q,qmin);
+ if (qmin < breakIfBelowThreshold) return qmin;
+ }
+ return qmin;
+ }
+
+ inline double stencilQualitySICNmin(
+ const vec3& center,
+ const std::vector<vec3>& stencil,
+ double breakIfBelowThreshold = -DBL_MAX) {
+ if (stencil.size() % 2 != 0) return -DBL_MAX;
+ double qmin = DBL_MAX;
+ const uint32_t N = stencil.size() / 2;
+ for (uint32_t i = 0; i < N; ++i) {
+ const vec3& p0 = stencil[2*i+0];
+ const vec3& p1 = stencil[2*i+1];
+ const size_t i2 = (2*i+2)%(2*N);
+ const vec3& p2 = stencil[i2];
+ const double q = quad_shape_ln(p0,p1,p2,center);
+ qmin = std::min(q,qmin);
+ if (qmin < breakIfBelowThreshold) return qmin;
+ }
+ return qmin;
+ }
+
+ struct OneRing {
+ vec5* p_uv = NULL;
+ uint32_t n = 0;
+ vec2 jump = {{0.,0.}};
+ vec3 range = {{0.,0.,0.}};
+ };
+
+
+ bool buildCondensedStructure(
+ const std::vector<MVertex*>& freeVertices,
+ const std::vector<MElement*>& elements,
+ unordered_map<MVertex*,size_t>& old2new,
+ std::vector<vector<size_t> >& v2v) {
+ /* Build the old2new mapping */
+ size_t vcount = 0;
+ for (MVertex* v: freeVertices) {
+ old2new[v] = vcount;
+ vcount += 1;
+ }
+ size_t nInterior = vcount;
+ if (nInterior == 0) return true; /* nothing to smooth */
+ v2v.resize(nInterior);
+ for (MElement* f: elements) {
+ for (size_t le = 0; le < 4; ++le) {
+ MVertex* vs[2] = {
+ f->getVertex(le),
+ f->getVertex((le+1)%4)
+ };
+ size_t nvs[2];
+ for (size_t lv = 0; lv < 2; ++lv) {
+ MVertex* v = vs[lv];
+ size_t nv = NO_SIZE_T;
+ auto it = old2new.find(v);
+ if (it == old2new.end()) {
+ old2new[v] = vcount;
+ nv = vcount;
+ vcount += 1;
+ } else {
+ nv = it->second;
+ }
+ nvs[lv] = nv;
+ }
+ if (nvs[0] < nInterior) v2v[old2new[vs[0]]].push_back(old2new[vs[1]]);
+ if (nvs[1] < nInterior) v2v[old2new[vs[1]]].push_back(old2new[vs[0]]);
+ }
+ constexpr bool addDiags = false;
+ if (addDiags) {
+ for (size_t d = 0; d < 2; ++d) {
+ MVertex* vs[2] = {
+ f->getVertex(d),
+ f->getVertex((d+2)%4)
+ };
+ size_t nvs[2] = {old2new[vs[0]],old2new[vs[1]]};
+ if (nvs[0] < nInterior) v2v[old2new[vs[0]]].push_back(old2new[vs[1]]);
+ if (nvs[1] < nInterior) v2v[old2new[vs[1]]].push_back(old2new[vs[0]]);
+ }
+ }
+ }
+ return true;
+ }
+
+ bool buildCondensedStructure(
+ const std::vector<MElement*>& elements,
+ const std::vector<MVertex*>& freeVertices,
+ unordered_map<MVertex*,uint32_t>& old2new,
+ std::vector<MVertex*>& new2old,
+ std::vector<std::array<uint32_t,4> >& quads,
+ std::vector<std::vector<uint32_t> >& v2q,
+ std::vector<std::vector<uint32_t> >& oneRings,
+ std::vector<std::array<double,3> >& points
+ ) {
+ new2old.reserve(2*freeVertices.size());
+ v2q.reserve(2*freeVertices.size());
+ points.reserve(2*freeVertices.size());
+
+ size_t vcount = 0;
+ for (MVertex* v: freeVertices) {
+ old2new[v] = vcount;
+ vec3 pt = SVector3(v->point());
+ points.push_back(pt);
+ new2old.push_back(v);
+ vcount += 1;
+ }
+
+ v2q.resize(vcount);
+ quads.resize(elements.size());
+ for (size_t f = 0; f < elements.size(); ++f) {
+ MElement* q = elements[f];
+ if (q->getNumVertices() != 4) {
+ Msg::Error("buildCondensedStructure: element is not a quad");
+ return false;
+ }
+ for (size_t lv = 0; lv < 4; ++lv) {
+ MVertex* v = q->getVertex(lv);
+ auto it = old2new.find(v);
+ size_t nv;
+ if (it == old2new.end()) {
+ old2new[v] = vcount;
+ new2old.push_back(v);
+ nv = vcount;
+ vcount += 1;
+ vec3 pt = SVector3(v->point());
+ points.push_back(pt);
+ if (nv >= v2q.size()) {
+ v2q.resize(nv+1);
+ }
+ } else {
+ nv = it->second;
+ }
+ quads[f][lv] = nv;
+ v2q[nv].push_back(f);
+ }
+ }
+ points.shrink_to_fit();
+ quads.shrink_to_fit();
+ new2old.shrink_to_fit();
+ v2q.shrink_to_fit();
+
+ /* Build the one rings for the free vertices */
+ oneRings.resize(freeVertices.size());
+ vector<MElement*> adjQuads;
+ for (size_t v = 0; v < freeVertices.size(); ++v) {
+ adjQuads.resize(v2q[v].size());
+ for (size_t lq = 0; lq < v2q[v].size(); ++lq) {
+ adjQuads[lq] = elements[v2q[v][lq]];
+ }
+ std::vector<MVertex*> bnd;
+ bool okb = buildBoundary(adjQuads, bnd);
+ if (!okb) {
+ Msg::Error("buildCondensedStructure: failed to build boundary for stencil");
+ return false;
+ }
+ if (bnd.back() == bnd.front()) bnd.pop_back();
+
+ /* Be sure the first vertex on the boundary is edge-connected to v */
+ /* Start of the stencil */
+ MVertex* vp = freeVertices[v];
+ MVertex* v0 = NULL;
+ for (MElement* e: adjQuads) {
+ size_t N = e->getNumVertices();
+ for (size_t j = 0; j < N; ++j) {
+ MVertex* a = e->getVertex(j);
+ MVertex* b = e->getVertex((j+1)%N);
+ if (a == vp) {
+ v0 = b;
+ break;
+ } else if (b == vp) {
+ v0 = a;
+ break;
+ }
+ }
+ if (v0 != NULL) break;
+ }
+ if (v0 == NULL) {
+ Msg::Warning("buildCondensedStructure: failed to found v0");
+ return false;
+ }
+ for (size_t j = 0; j < bnd.size(); ++j) {
+ if (bnd[j] == v0 && j > 0) {
+ std::rotate(bnd.begin(),bnd.begin()+j,bnd.end());
+ }
+ }
+ if (bnd.front() != v0) {
+ Msg::Warning("buildCondensedStructure: wrong start");
+ return false;
+ }
+ if (bnd.size() < 6 || bnd.size() % 2 != 0) {
+ Msg::Warning("buildCondensedStructure: wrong boundary, size %li", bnd.size());
+ return false;
+ }
+
+ oneRings[v].resize(bnd.size());
+ for (size_t j = 0; j < bnd.size(); ++j) {
+ auto it = old2new.find(bnd[j]);
+ if (it != old2new.end()) {
+ oneRings[v][j] = it->second;
+ } else {
+ Msg::Error("buildCondensedStructure: vertex not found in old2new");
+ return false;
+ }
+ }
+ }
+
+ return true;
+ }
+
+ bool buildUVSmoothingDataStructures(
+ GFace* gf,
+ const std::vector<MElement*>& elements,
+ const std::vector<MVertex*>& freeVertices,
+ std::vector<vec5>& point_uv,
+ std::vector<size_t>& one_ring_first,
+ std::vector<uint32_t>& one_ring_values,
+ std::vector<MVertex*>& new2old) {
+
+ unordered_map<MVertex*,uint32_t> old2new;
+ std::vector<std::array<uint32_t,4> > quads;
+ std::vector<std::vector<uint32_t> > v2q;
+ std::vector<std::vector<uint32_t> > oneRings;
+ std::vector<std::array<double,3> > points;
+ bool okc = buildCondensedStructure(elements,freeVertices,old2new,new2old,
+ quads,v2q,oneRings,points);
+ if (!okc) {
+ Msg::Warning("buildCondensedStructure: failed to build condensed representation");
+ return false;
+ }
+
+ /* Get associated uv in GFace */
+ std::vector<std::array<double,2> > uvs(old2new.size(),{DBL_MAX,DBL_MAX});
+ for (size_t i = 0; i < elements.size(); ++i) {
+ std::vector<SPoint2> quad_uvs = paramOnElement(gf, elements[i]);
+ for (size_t lv = 0; lv < 4; ++lv) {
+ size_t v = quads[i][lv];
+ if (uvs[v][0] == DBL_MAX) {
+ uvs[v][0] = quad_uvs[lv][0];
+ uvs[v][1] = quad_uvs[lv][1];
+ }
+ }
+ }
+
+ /* Compact 3D + uv */
+ point_uv.resize(points.size());
+ for (size_t i = 0; i < points.size(); ++i) {
+ point_uv[i][0] = points[i][0];
+ point_uv[i][1] = points[i][1];
+ point_uv[i][2] = points[i][2];
+ point_uv[i][3] = uvs[i][0];
+ point_uv[i][4] = uvs[i][1];
+ }
+
+ /* One ring adjacencies in contiguous memory */
+ compress(oneRings, one_ring_first, one_ring_values);
+
+ return true;
+ }
+
+ bool getContinuousUVOnLoop(
+ GFace* gf,
+ const std::vector<MVertex*>& bndOrdered,
+ std::vector<SPoint2>& bndUvs) {
+ if (bndOrdered.size() < 3) return false;
+
+ /* If periodic parametrization, get periods */
+ double Ts[2] = {0.,0.};
+ if (gf->periodic(0)) Ts[0] = gf->period(0);
+ if (gf->periodic(1)) Ts[1] = gf->period(1);
+
+ /* Get start point on the loop, inside GFace if possible */
+ size_t i0 = 0;
+ for (size_t i = 0; i < bndOrdered.size(); ++i) {
+ MVertex* v = bndOrdered[i];
+ if (v->onWhat() == gf) {
+ i0 = i;
+ break;
+ }
+ }
+
+ /* Get all the parameters on the loop */
+ bndUvs.resize(bndOrdered.size());
+ reparamMeshVertexOnFace(bndOrdered[i0],gf,bndUvs[i0],true);
+ SPoint2 prevUV = bndUvs[i0];
+
+ double gapMax[2] = {0.,0.};
+ const size_t N = bndOrdered.size();
+ for (size_t k = 1; k < N; ++k) {
+ size_t i = (i0+k)%N;
+ MVertex* v = bndOrdered[i];
+ bool okr = reparamMeshVertexOnFaceWithRef(gf, v, prevUV, bndUvs[i]);
+ if (!okr) return false;
+
+ gapMax[0] = std::max(gapMax[0],std::abs(bndUvs[i].data()[0] - prevUV.data()[0]));
+ gapMax[1] = std::max(gapMax[1],std::abs(bndUvs[i].data()[1] - prevUV.data()[1]));
+ prevUV = bndUvs[i];
+ }
+ gapMax[0] = std::max(gapMax[0],std::abs(bndUvs.front().data()[0] - bndUvs.back().data()[0]));
+ gapMax[1] = std::max(gapMax[1],std::abs(bndUvs.front().data()[1] - bndUvs.back().data()[1]));
+
+ if (Ts[0] > 0 && gapMax[0] > 0.5 * Ts[0]) {
+ Msg::Debug("getContinuousUVOnLoop: reject because gap on boundary: %f (period %f)", gapMax[0], Ts[0]);
+ return false;
+ }
+ if (Ts[1] > 0 && gapMax[1] > 0.5 * Ts[1]) {
+ Msg::Debug("getContinuousUVOnLoop: reject because gap on boundary: %f (period %f)", gapMax[1], Ts[1]);
+ return false;
+ }
+
+ return true;
+ }
+
+ bool solveLaplaceLinearSystem(
+ size_t nInterior,
+ const vector<vector<size_t> >& v2v, vector<SPoint2>& uvs) {
+ if (nInterior > 100) {
+ Msg::Debug("... solve laplace linear system (%li unknowns) ...", nInterior);
+ }
+
+#if defined(HAVE_EIGEN)
+ size_t N = uvs.size();
+ Eigen::VectorXd x_u(N), x_v(N), b_u(N), b_v(N);
+ Eigen::SparseMatrix<double> A(N,N);
+ b_u.fill(0.);
+ b_v.fill(0.);
+ double PENALTY = 1.e8;
+
+ std::vector<Eigen::Triplet<double, size_t> > triplets;
+ for (size_t v = 0; v < uvs.size(); ++v) {
+ if (v < nInterior) {
+ triplets.push_back({v,v,1.});
+ if (v2v[v].size() == 0) continue;
+ double sum = double(v2v[v].size());
+ for (size_t v2: v2v[v]) {
+ triplets.push_back({v,v2,-1./sum});
+ }
+ } else { /* fixed value */
+ triplets.push_back({v,v,PENALTY});
+ b_u[v] = PENALTY * uvs[v][0];
+ b_v[v] = PENALTY * uvs[v][1];
+ }
+ }
+ A.setFromTriplets(triplets.begin(),triplets.end());
+
+ bool solveOk = true;
+ { /* Try SparseLU */
+ Eigen::SparseLU<Eigen::SparseMatrix<double> > solver;
+ solver.analyzePattern(A);
+ solver.factorize(A);
+ x_u = solver.solve(b_u);
+ if (solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("failed to solve linear system with SparseLU (%li variables)", N);
+ solveOk = false;
+ }
+ x_v = solver.solve(b_v);
+ if (solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("failed to solve linear system with SparseLU (%li variables)", N);
+ solveOk = false;
+ }
+ }
+ if (!solveOk) { /* Try least square */
+ solveOk = true;
+ Eigen::LeastSquaresConjugateGradient<Eigen::SparseMatrix<double> > solver;
+ solver.compute(A);
+ x_u = solver.solve(b_u);
+ if (solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("failed to solve linear system with least-square (%li variables)", N);
+ solveOk = false;
+ }
+ x_v = solver.solve(b_v);
+ if (solver.info() != Eigen::ComputationInfo::Success) {
+ Msg::Warning("failed to solve linear system with least-square (%li variables)", N);
+ solveOk = false;
+ }
+ }
+
+ for (size_t v = 0; v < nInterior; ++v) {
+ uvs[v][0] = x_u[v];
+ uvs[v][1] = x_v[v];
+ }
+ if (!solveOk) {
+ Msg::Error("failed to solve linear system to solve uv");
+ return false;
+ }
+
+#else
+ Msg::Error("solveLaplaceLinearSystem requires the EIGEN module");
+ return -1;
+#endif
+ return true;
+ }
+
+
+ /* p0, p1, p2, p3: the four (ordered and oriented) corners
+ * N: reference normal (normalized) */
+ inline double quad_shape(const vec3& p0, const vec3& p1, const vec3& p2, const vec3& p3, const vec3& N) {
+ /* Based on Sandia Verdict document */
+ constexpr double EPS = 1.e-16;
+ constexpr double EPS2 = EPS*EPS;
+ const vec3 L0 = p1 - p0;
+ const vec3 L1 = p2 - p1;
+ const vec3 L2 = p3 - p2;
+ const vec3 L3 = p0 - p3;
+ const double len0_sq = length2(L0);
+ const double len1_sq = length2(L1);
+ const double len2_sq = length2(L2);
+ const double len3_sq = length2(L3);
+ if (len0_sq < EPS2 || len1_sq < EPS2 || len2_sq < EPS2 || len3_sq < EPS2) return -1.;
+ const vec3 N0 = cross(L3,L0);
+ const vec3 N1 = cross(L0,L1);
+ const vec3 N2 = cross(L1,L2);
+ const vec3 N3 = cross(L2,L3);
+ const double a0 = dot(N,N0); /* bad if non planar quad ? */
+ const double a1 = dot(N,N1);
+ const double a2 = dot(N,N2);
+ const double a3 = dot(N,N3);
+ const double q0 = a0/(len3_sq+len0_sq);
+ const double q1 = a1/(len0_sq+len1_sq);
+ const double q2 = a2/(len1_sq+len2_sq);
+ const double q3 = a3/(len2_sq+len3_sq);
+ if (SHOW_QUALITY && (q0 < 0 || q1 < 0 || q2 < 0 || q3 < 0)) {
+ DBG("------");
+ DBG(len0_sq, len1_sq, len2_sq, len3_sq);
+ DBG(N);
+ DBG(N0,N1,N2,N3);
+ DBG(q0,q1,q2,q3);
+ vec3 mid = (p0+p1+p2+p3)*0.25;
+ GeoLog::add(mid,N,"Ni");
+ GeoLog::add(p0,N0,"Ni");
+ GeoLog::add(p1,N1,"Ni");
+ GeoLog::add(p2,N2,"Ni");
+ GeoLog::add(p3,N3,"Ni");
+ GeoLog::add({p0,p1,p2,p3},0.,"quad");
+ GeoLog::flush();
+ gmsh::fltk::run();
+ abort();
+ }
+ return 2.*std::min(std::min(q0,q1),std::min(q2,q3));
+ }
+
+ inline double computeQualityQuadOneRing(const vec5& v, const OneRing& ring, const vec3& normal,
+ double breakIfBelowThreshold = -DBL_MAX) {
+ if (ring.n % 2 != 0) return -DBL_MAX;
+ double qmin = DBL_MAX;
+ const vec3 p = {v[0],v[1],v[2]};
+ for (uint32_t i = 0; i < ring.n / 2; ++i) {
+ const vec3 p0 = { ring.p_uv[2*i+0][0], ring.p_uv[2*i+0][1], ring.p_uv[2*i+0][2] };
+ const vec3 p1 = { ring.p_uv[2*i+1][0], ring.p_uv[2*i+1][1], ring.p_uv[2*i+1][2] };
+ const size_t i2 = (2*i+2)%ring.n;
+ const vec3 p2 = { ring.p_uv[i2][0], ring.p_uv[i2][1], ring.p_uv[i2][2] };
+ const double q = quad_shape(p0,p1,p2,p,normal);
+ qmin = std::min(q,qmin);
+ if (qmin < breakIfBelowThreshold) return qmin;
+ }
+ return qmin;
+ }
+
+ inline double dist_abs(double a, double b) {
+ return std::abs(a-b);
+ }
+
+ inline vec2 uv_adjust_jump(vec2 uv, const vec2& uv_ref, const vec2& jump) {
+ for (uint32_t d = 0; d < 2; ++d) if (jump[d] != 0.) {
+ if (uv[d] < uv_ref[d]) {
+ double cand = uv[d] + jump[d];
+ while (dist_abs(cand,uv_ref[d]) < dist_abs(uv[d], uv_ref[d])) {
+ uv[d] = cand;
+ cand = uv[d] + jump[d];
+ }
+ } else {
+ double cand = uv[d] - jump[d];
+ while (dist_abs(cand,uv_ref[d]) < dist_abs(uv[d], uv_ref[d])) {
+ uv[d] = cand;
+ cand = uv[d] - jump[d];
+ }
+ }
+ }
+ return uv;
+ }
+
+ inline double abs_diff_wperiod(double a, double b, double T) {
+ if (T == 0.) return std::abs(a-b);
+ return std::abs(fmod(a-b,T));
+ }
+
+ inline vec2 getDeltaUV(const vec5& v, const OneRing& ring) {
+ constexpr bool useBboxUV = false;
+ bool periodic = (ring.jump[0] != 0. || ring.jump[1] != 0.);
+ if (useBboxUV) {
+ const vec2 uv_0 = {v[3],v[4]};
+ double u_range[2] = {DBL_MAX,-DBL_MAX};
+ double v_range[2] = {DBL_MAX,-DBL_MAX};
+ for (uint32_t i = 0; i < ring.n; ++i) {
+ vec2 uv_i = {ring.p_uv[i][3],ring.p_uv[i][4]};
+ if (periodic) uv_i = uv_adjust_jump(uv_i, uv_0, ring.jump);
+ u_range[0] = std::min(u_range[0],uv_i[0]);
+ u_range[1] = std::max(u_range[1],uv_i[0]);
+ v_range[0] = std::min(v_range[0],uv_i[1]);
+ v_range[1] = std::max(v_range[1],uv_i[1]);
+ }
+ const double du = u_range[1] - u_range[0];
+ const double dv = v_range[1] - v_range[0];
+ return {du,dv};
+ } else {
+ bool periodic = (ring.jump[0] != 0. || ring.jump[1] != 0.);
+ const vec2 uv_0 = {v[3],v[4]};
+ double du = 0.;
+ double dv = 0.;
+ // DBG(uv_0, ring.jump);
+ for (uint32_t i = 0; i < ring.n; ++i) {
+ double duc = abs_diff_wperiod(ring.p_uv[i][3],ring.p_uv[(i+1)%ring.n][3], ring.jump[0]);
+ double dvc = abs_diff_wperiod(ring.p_uv[i][4],ring.p_uv[(i+1)%ring.n][4], ring.jump[1]);
+ if (ring.jump[0] > 0. && duc > 0.5 * ring.jump[0]) duc = 0.;
+ if (ring.jump[1] > 0. && dvc > 0.5 * ring.jump[1]) dvc = 0.;
+ du = std::max(du,duc);
+ dv = std::max(dv,dvc);
+ }
+ return {2.*du,2.*dv};
+ }
+ }
+
+ inline double getRingDispMax(const vec5& v, const OneRing& ring) {
+ double dMax2 = 0.;
+ for (uint32_t i = 0; i < ring.n; ++i) {
+ vec3 p_i = {ring.p_uv[i][0], ring.p_uv[i][1], ring.p_uv[i][2]};
+ vec3 p_n = {ring.p_uv[(i+1)%ring.n][0], ring.p_uv[(i+1)%ring.n][1], ring.p_uv[(i+1)%ring.n][2]};
+ dMax2 = std::max(dMax2, length2(p_i-p_n));
+ }
+ return std::sqrt(dMax2);
+ }
+
+ inline vec4 getGrid(const vec5& v, vec2 deltaUV, size_t n, double w) {
+ const vec2 uv_0 = {v[3],v[4]};
+ const vec4 grid = {
+ uv_0[0] - w * deltaUV[0], /* grid_u_min */
+ uv_0[1] - w * deltaUV[1], /* grid_v_min */
+ uv_0[0] + w * deltaUV[0], /* grid_u_max */
+ uv_0[1] + w * deltaUV[1] /* grid_v_max */
+ };
+ return grid;
+ }
+
+ vec5 dmoOptimizeVertexPosition(GFace* gf, vec5 v, const OneRing& ring, size_t n, size_t nIter,
+ vec3 normal, double& qmax) {
+ double w = 0.5;
+ if (qmax == DBL_MAX || qmax == -DBL_MAX) {
+ /* Only compute input quality if not given */
+ qmax = computeQualityQuadOneRing(v, ring, normal);
+ }
+ vec5 vmax = v;
+ vec2 deltaUV = getDeltaUV(v, ring);
+
+ /* Sanity check on the UV variation */
+ if (ring.jump[0] > 0. && deltaUV[0] > 0.5*ring.jump[0]) return v;
+ if (ring.jump[1] > 0. && deltaUV[1] > 0.5*ring.jump[1]) return v;
+ if (deltaUV[0] > 0.05 * ring.range[0]) return v;
+ if (deltaUV[1] > 0.05 * ring.range[1]) return v;
+
+ const bool checkDisplacement = ring.jump[0] != 0. || ring.jump[1] != 0.;
+ const double dispMax = checkDisplacement ? getRingDispMax(v, ring) : 0.;
+
+ for (size_t iter = 0; iter < nIter; ++iter) {
+ vec4 grid = getGrid(v, deltaUV, n, w);
+ SPoint2 uv;
+ for (size_t i = 0; i < n; ++i) {
+ uv.data()[0] = double(i)/double(n-1)*grid[0] + double(n-1-i)/double(n-1)*grid[2];
+ for (size_t j = 0; j < n; ++j) {
+ uv.data()[1] = double(j)/double(n-1)*grid[1] + double(n-1-j)/double(n-1)*grid[3];
+ GPoint newPos = gf->point(uv);
+ if (!newPos.succeeded()) continue;
+ if (checkDisplacement) {
+ double disp = length(vec3{newPos.x(),newPos.y(),newPos.z()} - vec3{v[0],v[1],v[2]});
+ // if (disp > 1 || dispMax > 1) {
+ // // DBG(disp, dispMax, v, deltaUV, uv, ring.jump);
+ // // abort();
+ // //gmsh::fltk::run();
+ // //abort();
+ // }
+ if (disp > dispMax) continue;
+ }
+ const vec5 v2 = {newPos.x(),newPos.y(),newPos.z(),uv.data()[0],uv.data()[1]};
+ double q2 = computeQualityQuadOneRing(v2, ring, normal, qmax);
+ if (q2 > qmax) {
+ vmax = v2;
+ qmax = q2;
+ }
+ }
+ }
+ w = w * 2./double(n-1);
+ }
+
+ return vmax;
+ }
+}
+using namespace QMT;
+
+
+void computeSICN(const std::vector<MElement*>& elements, double& sicnMin, double& sicnAvg) {
+ sicnMin = DBL_MAX;
+ sicnAvg = 0.;
+ for (size_t i = 0; i < elements.size(); ++i) {
+ double q = elements[i]->minSICNShapeMeasure();
+ if (std::isnan(q)) {
+ q = -1.;
+ }
+ sicnMin = std::min(sicnMin, q);
+ sicnAvg += q;
+ }
+ if (elements.size() > 0) sicnAvg /= double(elements.size());
+}
+
+int patchOptimizeGeometryGlobal(
+ GFaceMeshPatch& patch,
+ GeomOptimStats& stats) {
+ GFace* gf = patch.gf;
+ if (gf == NULL) return -1;
+ if (!gf->haveParametrization()) {
+ Msg::Debug("optimize geometry global: face %i have no parametrization", gf->tag());
+ return -2;
+ }
+ if (patch.bdrVertices.size() != 1) {
+ Msg::Debug("optimize geometry global: patch has multiple boundary loops (%li)", patch.bdrVertices.size());
+ return -1;
+ }
+ if (patch.intVertices.size() == 0) {
+ Msg::Debug("optimize geometry global: no interior vertices (%li bdr vertices, %li elements)",
+ patch.bdrVertices.front().size(), patch.elements.size());
+ return -1;
+ }
+
+ bool debugCreateViews = DBG_VIZU_G;
+ if (Msg::GetVerbosity() >= 999
+ && CTX::instance()->debugSurface == patch.gf->tag()) {
+ debugCreateViews = true;
+ }
+ const int rdi = (int)(((double)rand()/RAND_MAX)*1e4); /* only to get a random name for debugging */
+
+ double t1 = Cpu();
+
+ unordered_map<MVertex*,size_t> old2new;
+ std::vector<vector<size_t> > v2v;
+ bool oks = buildCondensedStructure(patch.intVertices, patch.elements, old2new, v2v);
+ if (!oks) {
+ Msg::Debug("optimize geometry global: failed to build edge graph");
+ return -1;
+ }
+
+
+ /* uvs/v2v: first all the free vertices, then the bdr vertices */
+ vector<SPoint2> uvs(old2new.size(),SPoint2(DBL_MAX,DBL_MAX));
+ /* Interior vertices initialized to (0,0) */
+ size_t nInterior = patch.intVertices.size();
+ for (size_t v = 0; v < nInterior; ++v) {
+ sort_unique(v2v[v]);
+ uvs[v] = SPoint2(0.,0.);
+ }
+
+ /* Boundary vertices */
+ for (size_t loop = 0; loop < patch.bdrVertices.size(); ++loop) {
+ vector<SPoint2> bndUvs;
+ bool okl = getContinuousUVOnLoop(gf, patch.bdrVertices[loop], bndUvs);
+ if (!okl) {
+ Msg::Debug("optimize geometry global: failed to get continuous UV on boundary loop");
+ return -2;
+ }
+ for (size_t i = 0; i < patch.bdrVertices[loop].size(); ++i){
+ MVertex* v = patch.bdrVertices[loop][i];
+ auto it = old2new.find(v);
+ if (it == old2new.end()) {
+ Msg::Error("optimize geometry global: bdr vertex not found in old2new");
+ return -1;
+ }
+ size_t idx = it->second;
+ if (uvs[idx].x() != DBL_MAX) continue;
+ uvs[idx] = bndUvs[i];
+ double dist = std::pow(bndUvs[(i+1)%bndUvs.size()].x() - bndUvs[i].x(),2)
+ + std::pow(bndUvs[(i+1)%bndUvs.size()].y() - bndUvs[i].y(),2);
+ dist = std::sqrt(dist);
+ }
+ }
+
+ computeSICN(patch.elements, stats.sicnMinBefore, stats.sicnAvgBefore);
+
+ /* Laplacian smoothing via linear system */
+ bool ok = solveLaplaceLinearSystem(nInterior, v2v, uvs);
+ if (!ok) {
+ Msg::Warning("optimize geometry global: failed to solve linear system");
+ return -1;
+ }
+
+ if (debugCreateViews) {
+ GeoLog::add(patch.elements, "optim_Duv_IN_"+std::to_string(rdi) + "_" + std::to_string(stats.sicnAvgBefore));
+ }
+
+ /* Apply CAD mapping */
+ for (MVertex* v: patch.intVertices) {
+ size_t idx = old2new[v];
+ SPoint2 uv = uvs[idx];
+ v->setParameter(0,uv[0]);
+ v->setParameter(1,uv[1]);
+ GPoint p = gf->point(uv);
+ if (p.succeeded()) {
+ v->setXYZ(p.x(),p.y(),p.z());
+ } else {
+ Msg::Error("optimize geometry global: CAD evaluation failed on face %i at uv=(%f,%f)",gf->tag(),uv[0],uv[1]);
+ }
+ }
+
+ computeSICN(patch.elements, stats.sicnMinAfter, stats.sicnAvgAfter);
+
+ if (debugCreateViews) {
+ GeoLog::add(patch.elements, "optim_Duv_OUT_"+std::to_string(rdi) + "_" + std::to_string(stats.sicnAvgAfter));
+ }
+
+ double t2 = Cpu();
+ stats.timeCpu = t2 - t1;
+ stats.nFree = patch.intVertices.size();
+ stats.nLock = patch.bdrVertices.front().size();
+
+ Msg::Debug("optimize geometry global (UV Laplacian): %li/%li free vertices, %li elements, SICN min: %.3f -> %.3f, SICN avg: %.3f -> %.3f, time: %.3fsec",
+ patch.intVertices.size(), patch.intVertices.size()+patch.bdrVertices.front().size(), patch.elements.size(),
+ stats.sicnMinBefore, stats.sicnMinAfter, stats.sicnAvgBefore, stats.sicnAvgAfter, stats.timeCpu);
+
+
+ return 0;
+}
+
+bool kernelLoopWithParametrization(
+ GFaceMeshPatch& patch,
+ const GeomOptimOptions& opt,
+ GeomOptimStats& stats) {
+
+ GFace* gf = patch.gf;
+ if (!gf->haveParametrization()) {
+ Msg::Error("optimize geometry kernel: face %i have no parametrization", gf->tag());
+ return false;
+ }
+
+ /* Data for smoothing */
+ std::vector<vec5> point_uv;
+ std::vector<size_t> one_ring_first;
+ std::vector<uint32_t> one_ring_values;
+ std::vector<MVertex*> new2old;
+ bool okb = buildUVSmoothingDataStructures(gf, patch.elements, patch.intVertices, point_uv,
+ one_ring_first, one_ring_values, new2old);
+ if (!okb) {
+ Msg::Error("optimize geometry kernel: failed to build adjacency datastructures");
+ return -1;
+ }
+ OneRing ring;
+ std::vector<vec5> ringGeometric(10);
+ if (gf->periodic(0)) ring.jump[0] = gf->period(0);
+ if (gf->periodic(1)) ring.jump[1] = gf->period(1);
+ ring.range[0] = gf->parBounds(0).high()-gf->parBounds(0).low();
+ ring.range[1] = gf->parBounds(1).high()-gf->parBounds(1).low();
+ ring.p_uv = ringGeometric.data();
+ const double sign = opt.invertCADNormals ? -1. : 1.;
+
+ size_t dmo_grid_width = 8;
+ size_t dmo_grid_depth = 3;
+ if (!haveNiceParametrization(gf)) {
+ dmo_grid_width = 12;
+ dmo_grid_depth = 4;
+ }
+
+ /* Initialization: all vertices unlocked */
+ std::vector<bool> locked(patch.intVertices.size(),false);
+ if (opt.qualityRangeTechnique) {
+ std::fill(locked.begin(),locked.end(),true);
+ }
+
+ /* Explicit smoothing loop */
+ const size_t nFree = patch.intVertices.size();
+ for (size_t iter = 0; iter < opt.outerLoopIterMax; ++iter) {
+ size_t nMoved = 0;
+ double iterQmin = 1.;
+
+ /* Loop over interior vertices */
+ for (size_t v = 0; v < nFree; ++v) {
+
+ /* Fill the OneRing geometric information */
+ ring.n = one_ring_first[v+1]-one_ring_first[v];
+ if (ring.n >= ringGeometric.size()) {
+ ringGeometric.resize(ring.n);
+ ring.p_uv = ringGeometric.data();
+ }
+ for (size_t lv = 0; lv < ring.n; ++lv) {
+ ring.p_uv[lv] = point_uv[one_ring_values[one_ring_first[v]+lv]];
+ }
+
+
+ /* Current position, normal and quality */
+ vec5 pos = point_uv[v];
+ vec3 normal = sign * gf->normal(SPoint2(pos[3],pos[4]));
+ if (length2(normal) == 0.) {
+ Msg::Warning("optimize geometry kernel: CAD normal length is 0 !");
+ continue;
+ }
+ normalize(normal);
+ double quality = computeQualityQuadOneRing(pos, ring, normal);
+
+ if (opt.qualityRangeTechnique && iter == 0) {
+ /* First iteration: unlocked low quality vertices */
+ if (quality < opt.qualityRangeMin) {
+ locked[v] = false;
+ } else {
+ continue;
+ }
+ }
+ if (opt.qualityRangeTechnique && quality > opt.qualityRangeMax) {
+ locked[v] = true;
+ continue;
+ }
+
+ /* Optimize vertex position with DMO (adaptive grid sampling) */
+ if (opt.qualityRangeTechnique || quality < opt.useDmoIfSICNbelow) {
+ vec5 newPos = dmoOptimizeVertexPosition(gf, pos, ring, dmo_grid_width, dmo_grid_depth, normal, quality);
+ point_uv[v] = newPos;
+ iterQmin = std::min(iterQmin,quality);
+ nMoved += 1;
+ }
+
+ if (opt.qualityRangeTechnique) {
+ if (quality > opt.qualityRangeTechnique) {
+ locked[v] = true;
+ continue;
+ } else { /* Unlock neighbors ! */
+ for (size_t lv = 0; lv < ring.n; ++lv) {
+ uint32_t v2 = one_ring_values[one_ring_first[v]+lv];
+ if (v2 < nFree) locked[v2] = false;
+ }
+ }
+ } else {
+ // TODO: lock vertex is local dx reduction
+ }
+ }
+ // DBG(iter, nMoved, iterQmin);
+ }
+
+ /* Update the positions */
+ for (size_t i = 0; i < patch.intVertices.size(); ++i) {
+ new2old[i]->setParameter(0,point_uv[i][3]);
+ new2old[i]->setParameter(1,point_uv[i][4]);
+ new2old[i]->setXYZ(point_uv[i][0],point_uv[i][1],point_uv[i][2]);
+ }
+
+ return true;
+}
+
+bool movePointWithKernelAndProjection(
+ uint32_t v,
+ const std::vector<std::array<double,3> >& points,
+ const std::vector<size_t>& one_ring_first,
+ const std::vector<uint32_t>& one_ring_values,
+ bool project,
+ SurfaceProjector* sp,
+ vec3& newPos,
+ vec2& newUv)
+{
+ if (project && sp == nullptr) {
+ Msg::Error("cannot project with surface projector");
+ return false;
+ }
+
+ size_t n = one_ring_first[v+1] - one_ring_first[v];
+ GPoint proj;
+ double stDx = 0.;
+ if (n == 8) { /* regular vertex */
+ /* Extract geometric stencil */
+ std::array<vec3,8> stencil = fillStencilRegular(v, points, one_ring_first, one_ring_values);
+
+ /* Smoothing (in 3D, not on surface) */
+ bool ok = kernelWinslow(stencil, newPos);
+ if (!ok) return false;
+
+ if (project) { /* Projection on surface */
+ proj = sp->closestPoint(newPos.data(), false, false);
+ if (!proj.succeeded()) {
+ Msg::Debug("kernel smoothing: projection failed");
+ return false;
+ }
+ newPos = {proj.x(),proj.y(),proj.z()};
+ newUv = {proj.u(),proj.v()};
+ }
+ } else { /* irregular vertex */
+ std::vector<vec3> stencilIrreg(8);
+
+ /* Extract geometric stencil */
+ constexpr bool oneOverTwo = true; /* angle-based does not use diagonals */
+ fillStencilIrregular(v, points, one_ring_first, one_ring_values, stencilIrreg, oneOverTwo);
+
+ /* Smoothing (in 3D, not on surface) */
+ bool ok = kernelAngleBased(points[v], stencilIrreg, newPos);
+ if (!ok) return false;
+
+ if (project) { /* Projection on surface */
+ proj = sp->closestPoint(newPos.data(), false, false);
+ if (!proj.succeeded()) {
+ Msg::Debug("kernel smoothing: projection failed");
+ return false;
+ }
+ newPos = {proj.x(),proj.y(),proj.z()};
+ newUv = {proj.u(),proj.v()};
+ }
+ }
+ return true;
+}
+
+bool kernelLoopWithProjection(
+ GFaceMeshPatch& patch,
+ const GeomOptimOptions& opt,
+ GeomOptimStats& stats) {
+ GFace* gf = patch.gf;
+ if (opt.sp == nullptr) {
+ Msg::Error("kernel loop with projection: no surface projector");
+ return false;
+ }
+
+ /* Data for smoothing */
+ std::vector<size_t> one_ring_first;
+ std::vector<uint32_t> one_ring_values;
+ std::vector<MVertex*> new2old;
+ unordered_map<MVertex*,uint32_t> old2new;
+ std::vector<std::array<double,3> > points;
+ {
+ std::vector<std::array<uint32_t,4> > quads;
+ std::vector<std::vector<uint32_t> > v2q;
+ std::vector<std::vector<uint32_t> > oneRings;
+ bool okc = buildCondensedStructure(patch.elements,patch.intVertices,
+ old2new,new2old, quads,v2q,oneRings,points);
+ if (!okc) {
+ Msg::Error("buildCondensedStructure: failed to build condensed representation");
+ return false;
+ }
+ compress(oneRings, one_ring_first, one_ring_values);
+ }
+ const size_t nFree = patch.intVertices.size();
+
+ std::vector<std::array<double,2> > point_uvs;
+ if (gf->haveParametrization()) {
+ point_uvs.resize(points.size());
+ for (size_t v = 0; v < nFree; ++v) {
+ new2old[v]->getParameter(0,point_uvs[v][0]);
+ new2old[v]->getParameter(1,point_uvs[v][1]);
+ }
+ }
+
+ /* Local sizes */
+ vector<double> localAvgSize(nFree,0.);
+ for (size_t v = 0; v < nFree; ++v) {
+ size_t n = one_ring_first[v+1] - one_ring_first[v];
+ if (n == 0) continue;
+ for (size_t lv = 0; lv < n; ++lv) {
+ uint32_t v2 = one_ring_values[one_ring_first[v]+lv];
+ localAvgSize[v] += length(points[v]-points[v2]);
+ }
+ localAvgSize[v] /= double(n);
+ }
+
+ bool project = true;
+ if (gf->geomType() == GFace::GeomType::Plane) project = false;
+
+ /* Initialization: all vertices unlocked */
+ std::vector<bool> locked(patch.intVertices.size(),false);
+
+ /* Explicit smoothing loop */
+ double t0 = Cpu();
+ double sum_dx0 = 0;
+ std::vector<vec3> stencilIrreg(10);
+ for (size_t iter = 0; iter < opt.outerLoopIterMax; ++iter) {
+ size_t nMoved = 0;
+
+ double sum_dx = 0.;
+ /* Loop over interior vertices */
+ for (size_t v = 0; v < nFree; ++v) {
+ if (locked[v]) continue;
+
+ vec3 newPos = points[v];
+ vec2 newUv;
+ if (point_uvs.size()) { newUv = point_uvs[v]; }
+
+ bool ok = movePointWithKernelAndProjection(v, points, one_ring_first, one_ring_values,
+ project, opt.sp, newPos, newUv);
+ if (ok) {
+ double dx = length(newPos - points[v]);
+ sum_dx += dx;
+ /* Modify the coordinates */
+ points[v] = newPos;
+ point_uvs[v] = newUv;
+ if (opt.localLocking && dx < opt.dxLocalMax*localAvgSize[v]) {
+ locked[v] = true;
+ } else {
+ nMoved += 1;
+ }
+ } else {
+ locked[v] = true;
+ }
+ }
+
+ if (iter == 0) {
+ sum_dx0 = sum_dx;
+ } else {
+ if (sum_dx < opt.dxGlobalMax * sum_dx0) break;
+ if (nMoved == 0) break;
+ }
+
+ if (Cpu() - t0 > opt.timeMax) break;
+ }
+
+ /* Update the positions */
+ for (size_t i = 0; i < patch.intVertices.size(); ++i) {
+ MVertex* v = new2old[i];
+ v->setXYZ(points[i][0],points[i][1],points[i][2]);
+ if (point_uvs.size()) {
+ v->setParameter(0,point_uvs[i][0]);
+ v->setParameter(1,point_uvs[i][1]);
+
+ SPoint3 query = v->point();
+ GPoint proj = gf->closestPoint(query, point_uvs[i].data());
+ if (proj.succeeded()) {
+ v->setXYZ(proj.x(),proj.y(),proj.z());
+ v->setParameter(0,proj.u());
+ v->setParameter(1,proj.v());
+ }
+ }
+ }
+
+ return true;
+}
+
+
+size_t nbVerticesOnBoundary(const GFaceMeshPatch& patch) {
+ size_t n = 0;
+ for (size_t i = 0; i < patch.bdrVertices.size(); ++i)
+ n += patch.bdrVertices[i].size();
+ return n;
+}
+
+bool patchOptimizeGeometryWithKernel(
+ GFaceMeshPatch& patch,
+ const GeomOptimOptions& opt,
+ GeomOptimStats& stats) {
+
+ /* Debug visualization */
+ bool debugCreateViews = DBG_VIZU_K;
+ if (Msg::GetVerbosity() >= 999
+ && CTX::instance()->debugSurface == patch.gf->tag()) {
+ debugCreateViews = true;
+ }
+ const int rdi = (int)(((double)rand()/RAND_MAX)*1e4); /* only to get a random name for debugging */
+
+
+ GFace* gf = patch.gf;
+ if (gf == NULL || patch.elements.size() == 0) return false;
+ if (patch.intVertices.size() == 0) return false;
+
+ stats.sicnMinBefore = -1.; /* if no element */
+ stats.sicnAvgBefore = -1.;
+ double t1 = Cpu();
+ computeSICN(patch.elements, stats.sicnMinBefore, stats.sicnAvgBefore);
+
+ if (patch.intVertices.size() == 0) {
+ Msg::Debug("optimize geometry kernel: no interior vertices (%li elements)",
+ patch.elements.size());
+ stats.sicnMinAfter = stats.sicnMinBefore;
+ stats.sicnAvgAfter = stats.sicnAvgBefore;
+ return true;
+ }
+
+ PatchGeometryBackup* backup = nullptr;
+ if (opt.withBackup) {
+ backup = new PatchGeometryBackup(patch);
+ }
+
+ bool useParam = gf->haveParametrization();
+ if (opt.sp != nullptr) useParam = false;
+ if (opt.force3DwithProjection) useParam = false;
+
+ if (debugCreateViews) {
+ std::string method = "K" + (useParam ? std::string("uv") : std::string("3d+p"));
+ GeoLog::add(patch.elements, "optim_"+method+"_IN_"+std::to_string(rdi) + "_" + std::to_string(stats.sicnAvgBefore));
+ }
+
+ if (useParam) {
+ bool okl = kernelLoopWithParametrization(patch, opt, stats);
+ if (!okl) {
+ Msg::Warning("optimize geometry kernel: the loop with param. failed (%li elements)",
+ patch.elements.size());
+ return -1;
+ }
+ } else {
+ bool okl = kernelLoopWithProjection(patch, opt, stats);
+ if (!okl) {
+ Msg::Warning("optimize geometry kernel: the loop with projection failed (%li elements)",
+ patch.elements.size());
+ return -1;
+ }
+ }
+
+ /* Statistics */
+ computeSICN(patch.elements, stats.sicnMinAfter, stats.sicnAvgAfter);
+
+ bool cancel = false;
+
+ if (opt.withBackup && backup && stats.sicnMinAfter < stats.sicnMinBefore) {
+ Msg::Debug("optimize geometry kernel: restore patch geometry with backup", patch.elements.size());
+ backup->restore();
+ stats.sicnMinAfter = stats.sicnMinBefore;
+ stats.sicnAvgAfter = stats.sicnAvgBefore;
+ cancel = true;
+ }
+
+ /* Debug visualization */
+ if (debugCreateViews) {
+ std::string method = "K" + (useParam ? std::string("uv") : std::string("3d+p"));
+ GeoLog::add(patch.elements, "optim_"+method+"_OUT_"+std::to_string(rdi) + "_" + std::to_string(stats.sicnAvgAfter));
+ GeoLog::flush();
+ }
+
+ double t2 = Cpu();
+ stats.timeCpu = t2 - t1;
+ stats.nFree = patch.intVertices.size();
+ stats.nLock = nbVerticesOnBoundary(patch);
+
+ if (backup) delete backup;
+
+ if (cancel) return true;
+
+ if (useParam) {
+ Msg::Debug("optimize geometry kernel (using CAD param): %li/%li free vertices, %li elements, SICN min: %.3f -> %.3f, SICN avg: %.3f -> %.3f, time: %.3fsec",
+ patch.intVertices.size(), stats.nFree + stats.nLock, patch.elements.size(),
+ stats.sicnMinBefore, stats.sicnMinAfter, stats.sicnAvgBefore, stats.sicnAvgAfter, stats.timeCpu);
+ } else {
+ Msg::Debug("optimize geometry kernel (using triangulation): %li/%li free vertices, %li elements, SICN min: %.3f -> %.3f, SICN avg: %.3f -> %.3f, time: %.3fsec",
+ patch.intVertices.size(), stats.nFree + stats.nLock, patch.elements.size(),
+ stats.sicnMinBefore, stats.sicnMinAfter, stats.sicnAvgBefore, stats.sicnAvgAfter, stats.timeCpu);
+ }
+
+ return true;
+}
+
+bool patchProjectOnSurface(GFaceMeshPatch& patch, SurfaceProjector* sp) {
+ Msg::Debug("patch surface projection (%i vertices) ...", patch.intVertices.size());
+ bool useParam = patch.gf->haveParametrization();
+ for (MVertex* v: patch.intVertices) {
+ GPoint proj;
+ if (sp != nullptr) {
+ /* Triangulation projection */
+ proj = sp->closestPoint(v->point().data(),false,false);
+ if (proj.succeeded()) {
+ v->setXYZ(proj.x(),proj.y(),proj.z());
+ }
+ if (useParam) {
+ /* CAD projection */
+ double uv[2] = {proj.u(),proj.v()};
+ GPoint proj2 = patch.gf->closestPoint(v->point(),uv);
+ if (proj2.succeeded()) {
+ v->setXYZ(proj2.x(),proj2.y(),proj2.z());
+ v->setParameter(0,proj2.u());
+ v->setParameter(1,proj2.v());
+ }
+ }
+ } else if (useParam) {
+ double uv[2];
+ v->getParameter(0,uv[0]);
+ v->getParameter(1,uv[1]);
+ /* CAD projection */
+ GPoint proj2 = patch.gf->closestPoint(v->point(),uv);
+ if (proj2.succeeded()) {
+ v->setXYZ(proj2.x(),proj2.y(),proj2.z());
+ v->setParameter(0,proj2.u());
+ v->setParameter(1,proj2.v());
+ }
+ } else {
+ Msg::Error("patch projection: no parametrization and no surface projector");
+ return false;
+ }
+ }
+ return true;
+}
+
+bool optimizeGeometryQuadMesh(GFace* gf, SurfaceProjector* sp, double timeMax)
+{
+ if (!gf->haveParametrization() && sp == nullptr) {
+ Msg::Error("optimize geometry: face %i, no CAD and no surface projector", gf->tag());
+ return false;
+ }
+
+ if (gf->quadrangles.size() == 0) {
+ Msg::Error("optimize geometry: face %i, no quads", gf->tag());
+ return false;
+ }
+
+ bool forceEvenIfBadBoundary = true;
+ GFaceMeshPatch patch;
+ bool okp = patchFromQuads(gf, gf->quadrangles, patch, forceEvenIfBadBoundary);
+ if (!okp) {
+ Msg::Warning("optimize geometry: face %i, failed to build patch", gf->tag());
+ return false;
+ }
+
+ bool debugCreateViews = DBG_VIZU_G;
+ if (Msg::GetVerbosity() >= 999
+ && CTX::instance()->debugSurface == patch.gf->tag()) {
+ debugCreateViews = true;
+ }
+ const int rdi = (int)(((double)rand()/RAND_MAX)*1e4); /* only to get a random name for debugging */
+
+ int countMax = 3;
+ bool running = true;
+ size_t niter = 50;
+ int count = 0;
+ if (gf->geomType() == GEntity::Plane) {
+ /* Much faster projection, we can smooth */
+ niter = 100;
+ }
+
+ double t0 = Cpu();
+
+ while (running && count < countMax) {
+ running = false;
+ count += 1;
+ if (Cpu() - t0 > timeMax) {
+ Msg::Debug("optimize geometry: face %i, reached time limit", gf->tag());
+ break;
+ }
+
+ PatchGeometryBackup backup(patch);
+
+ double minSICNb = DBL_MAX;
+ double avgSICNb = 0.;
+ computeSICN(patch.elements, minSICNb, avgSICNb);
+
+ if (debugCreateViews) {
+ std::string method = "GFace_K";
+ GeoLog::add(patch.elements, "optim_"+method+"_IN_"+std::to_string(rdi) + "_" + std::to_string(minSICNb));
+ }
+
+ GeomOptimStats stats;
+ GeomOptimOptions opt;
+ opt.sp = sp;
+ opt.outerLoopIterMax = niter;
+ opt.timeMax = timeMax;
+ opt.localLocking = true;
+ opt.dxGlobalMax = 1.e-3;
+ opt.dxLocalMax = 1.e-5;
+ opt.force3DwithProjection = true;
+ opt.withBackup = false;
+ double t1 = Cpu();
+ bool okk = kernelLoopWithProjection(patch, opt, stats);
+ if (!okk) {
+ return false;
+ }
+ double etime = Cpu() - t1;
+
+ double minSICNa = DBL_MAX;
+ double avgSICNa = 0.;
+ computeSICN(patch.elements, minSICNa, avgSICNa);
+
+ bool keep = true;
+ if (minSICNa < minSICNb && avgSICNa < avgSICNb) keep = false;
+ if (minSICNa < 0.1 && minSICNa < minSICNb) keep = false;
+ if (minSICNa < 0.75 * minSICNb) keep = false;
+
+ if (debugCreateViews) {
+ std::string method = "GFace_K";
+ GeoLog::add(patch.elements, "optim_"+method+"_OUT_"+std::to_string(rdi) + "_" + std::to_string(minSICNa) + "_keep=" + std::to_string(keep));
+ }
+
+ if (keep) {
+ Msg::Debug("- Face %i: kernel smoothing (Mix Winslow/Angle, explicit with projections, %li vertices, %li iter max, %.3f sec), SICN min: %f -> %f, avg: %f -> %f",
+ gf->tag(),gf->mesh_vertices.size(), niter,etime,minSICNb,minSICNa,avgSICNb,avgSICNa);
+ if (minSICNa >= minSICNb && 0.99*avgSICNa > avgSICNb && etime < 1) {
+ niter *= 1.5;
+ running = true;
+ }
+ } else {
+ Msg::Debug("- Face %i: worst quality after global smoothing (Mix Winslow/Angle, explicit, %li iter max), roll back (SICN min: %f -> %f, avg: %f -> %f)",
+ gf->tag(),niter,minSICNb,minSICNa,avgSICNb,avgSICNa);
+ backup.restore();
+ break;
+ }
+ }
+
+ return true;
+}
diff --git a/contrib/QuadMeshingTools/qmtMeshGeometryOptimization.h b/contrib/QuadMeshingTools/qmtMeshGeometryOptimization.h
new file mode 100644
index 0000000000000000000000000000000000000000..cdebf5df510fc1ab732dd18bcda4dca0ef29b07f
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtMeshGeometryOptimization.h
@@ -0,0 +1,122 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#pragma once
+
+#include <float.h>
+#include "qmtMeshUtils.h"
+
+class SurfaceProjector;
+
+/**
+ * @brief Mesh optimization statistics
+ */
+struct GeomOptimStats {
+ size_t nFree = 0;
+ size_t nLock = 0;
+ double timeCpu = 0.;
+ size_t outerLoopIter = 0;
+ double sicnMinBefore = 0.;
+ double sicnMinAfter = 0.;
+ double sicnAvgBefore = 0.;
+ double sicnAvgAfter = 0.;
+ void print();
+};
+
+/**
+ * @brief Optimize the vertex position inside a patch by
+ * smoothing the CAD parametric coordinates with
+ * a Laplacian solver: Du=0, Dv=0
+ * The patch boundary is fixed.
+ * Use direct solver and arithmetric average to ensure
+ * maximum principle.
+ * Not always applicable: if no param, if the patch contains a CAD uv singularity
+ *
+ * @param[in,out] patch The mesh patch to smooth. The new positions and uv are directly updated
+ * in the MVertex instances.
+ * @param[out] stats Some statistics on the smoothing
+ *
+ * @return 0 if success
+ */
+int patchOptimizeGeometryGlobal(
+ GFaceMeshPatch& patch,
+ GeomOptimStats& stats);
+
+/**
+ * @brief Options for the kernel-based explicit untangling/smoothing.
+ * Kernels:
+ * - DMO (brute-force uv sampling) if low quality
+ * - Winslow if regular vertex
+ * - Angle-based smoothing is irregular vertex
+ */
+struct GeomOptimOptions {
+ double useDmoIfSICNbelow = 0.1; /* use the DMO kernel if SICN quality below threshold */
+ size_t outerLoopIterMax = 100; /* maximum number of loops over all vertices */
+ double timeMax = DBL_MAX; /* stop smoothing is timeMax elapsed */
+ bool invertCADNormals = false; /* invert the CAD normals for the quality computation */
+ SurfaceProjector* sp = nullptr; /* if present, surface projection is used instead of CAD */
+ double smartMinThreshold = -DBL_MAX; /* do not displace if inducing min(SICN) < smartMinThreshold */
+ bool qualityRangeTechnique = false;
+ bool localLocking = false; /* Lock if small displacement, unlocked neighbors else */
+ double dxLocalMax = 1.e-5; /* lock a vertex if dx < dxLocalMax * local_size */
+ double dxGlobalMax = 1.e-5; /* stop if sum(dx) < dxGlobalMax * sum(dx_0) */
+ double qualityRangeMin = 0.5;
+ double qualityRangeMax = 0.8;
+ bool withBackup = true; /* save the geometry before, restore if quality decreased */
+ bool force3DwithProjection = false;
+};
+
+/**
+ * @brief Optimize the mesh by iteratively moving the vertices (explicit approach).
+ * The patch boundary is fixed.
+ * Require a parametrization on the face.
+ *
+ * @param[in,out] patch The mesh patch to smooth. The new positions and uv are directly updated
+ * in the MVertex instances.
+ * @param[in] opt The optimization parameters
+ * @param[out] stats Some statistics on the smoothing
+ *
+ * @return true if success
+ */
+bool patchOptimizeGeometryWithKernel(
+ GFaceMeshPatch& patch,
+ const GeomOptimOptions& opt,
+ GeomOptimStats& stats);
+
+/**
+ * @brief Compute minimum and average SICN quality of elements
+ *
+ * @param[in] elements The elements on which to measure the quality
+ * @param[out] sicnMin Minimum element SICN quality
+ * @param[out] sicnAvg Average element SICN quality
+ */
+void computeSICN(const std::vector<MElement*>& elements, double& sicnMin, double& sicnAvg);
+
+
+/**
+ * @brief Project the patch interior vertices on the surface.
+ * If no parametrization, only the SurfaceProjector is used.
+ * If param, the SurfaceProjector is used as a initial guess.
+ *
+ * @param patch The patch containing the vertices
+ * @param sp If not nullptr, use it to project
+ *
+ * @return true if success
+ */
+bool patchProjectOnSurface(GFaceMeshPatch& patch, SurfaceProjector* sp = nullptr);
+
+/**
+ * @brief High-level function which try to make good parameter choices
+ * automatically.
+ *
+ * @param gf The face containing the quad mesh to smooth
+ * @param sp Surface projector (faster than CAD projection)
+ * @param timeMax Time budget for the smoothing
+ *
+ * @return true if success
+ */
+bool optimizeGeometryQuadMesh(GFace* gf, SurfaceProjector* sp = nullptr, double timeMax = DBL_MAX);
diff --git a/contrib/QuadMeshingTools/qmtMeshUtils.cpp b/contrib/QuadMeshingTools/qmtMeshUtils.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..079b85e53e14a1bef3e8fc570f1af696de1c8154
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtMeshUtils.cpp
@@ -0,0 +1,1419 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#include "qmtMeshUtils.h"
+
+/* System includes */
+#include <vector>
+#include <array>
+#include <unordered_map>
+#include <unordered_set>
+#include <cstdint>
+#include <cmath>
+#include <algorithm>
+#include <queue>
+
+/* Gmsh includes */
+#include "GmshMessage.h"
+#include "OS.h"
+#include "GVertex.h"
+#include "GEdge.h"
+#include "GFace.h"
+#include "GModel.h"
+#include "MVertex.h"
+#include "MLine.h"
+#include "MTriangle.h"
+#include "MQuadrangle.h"
+#include "robin_hood.h"
+#include "meshOctreeLibOL.h"
+#include "BackgroundMesh.h"
+
+// /* QuadMeshingTools includes */
+#include "cppUtils.h"
+#include "arrayGeometry.h"
+#include "geolog.h"
+#include "gmsh.h"
+#include "row_echelon_integer.hpp"
+
+using namespace CppUtils;
+using std::unordered_map;
+using std::unordered_set;
+using std::vector;
+
+std::vector<GFace*> model_faces(const GModel* gm) {
+ std::vector<GFace*> faces;
+ for(GModel::fiter it = gm->firstFace(); it != gm->lastFace(); ++it) {
+ faces.push_back(*it);
+ }
+ return faces;
+}
+
+std::vector<GEdge*> face_edges(const GFace* gf) {
+ std::vector<GEdge*> edges;
+ for (GEdge* ge: gf->edges()) {
+ edges.push_back(ge);
+ }
+ GFace* gfc = const_cast<GFace*>(gf);
+ for (GEdge* ge: gfc->embeddedEdges()) {
+ edges.push_back(ge);
+ }
+ sort_unique(edges);
+ return edges;
+}
+
+std::vector<GEdge*> model_edges(const GModel* gm) {
+ std::vector<GEdge*> edges;
+ std::vector<GFace*> faces = model_faces(gm);
+ for (GFace* gf: faces) append(edges,face_edges(gf));
+ sort_unique(edges);
+ return edges;
+}
+
+bool haveNiceParametrization(GFace* gf) {
+ if (!gf->haveParametrization()) return false;
+ if (gf->geomType() == GFace::GeomType::Sphere) return false;
+
+ // if (gf->periodic(0) || gf->periodic(1)) return false;
+
+ return true;
+}
+
+bool buildVertexToVertexMap(
+ const std::vector<MTriangle*>& triangles,
+ std::unordered_map<MVertex*,std::vector<MVertex*> >& v2v) {
+ v2v.clear();
+ v2v.rehash(3*triangles.size());
+
+ size_t N = 3;
+ for (MTriangle* f: triangles) {
+ for (size_t le = 0; le < N; ++le) {
+ MVertex* v1 = f->getVertex(le);
+ MVertex* v2 = f->getVertex((le+1)%N);
+ v2v[v1].push_back(v2);
+ v2v[v2].push_back(v1);
+ }
+ }
+ for (auto& kv: v2v) {
+ sort_unique(kv.second);
+ }
+
+ return true;
+}
+
+bool buildBoundary (const std::vector<MElement*>& elements, std::vector<MVertex*>& bnd){
+ std::vector<MEdge> eds,veds;
+
+ for (MElement* e: elements) {
+ for (size_t j=0;j<(size_t)e->getNumEdges();j++){
+ eds.push_back(e->getEdge(j));
+ }
+ }
+
+ MEdgeLessThan melt;
+ std::sort(eds.begin(),eds.end(), melt);
+ for(size_t i=0;i<eds.size();i++){
+ if (i != eds.size()-1 && eds[i] == eds[i+1])i++;
+ else veds.push_back(eds[i]);
+ }
+
+ std::vector<std::vector<MVertex *> > vsorted;
+ bool oks = SortEdgeConsecutive(veds, vsorted);
+ if (!oks) {
+ return false;
+ }
+ if (vsorted.empty()){
+ return false;
+ }
+ else if (vsorted.size() > 1){
+ Msg::Debug("buildBoundary(): %li loops instead of one\n",vsorted.size());
+ return false;
+ }
+
+ /* Reverse vertices if necessary, to keep coherent with elements orientation */
+ {
+ MEdge e = veds[0];
+ MVertex* v1 = e.getVertex(0);
+ MVertex* v2 = e.getVertex(1);
+ auto it = std::find(vsorted[0].begin(),vsorted[0].end(),v1);
+ if (it == vsorted[0].end()) {
+ Msg::Error("buildBoundary(): vertex not found in sorted vertices, weird");
+ return false;
+ }
+ size_t i = it - vsorted[0].begin();
+ size_t i_next = (i+1)%vsorted[0].size();
+ size_t i_prev = (i-1+vsorted[0].size())%vsorted[0].size();
+ if (vsorted[0][i_next] == v2) {
+ // good ordering
+ } else if (vsorted[0][i_prev] == v2) { // apply reverse
+ std::reverse(vsorted[0].begin(),vsorted[0].end());
+ } else {
+ Msg::Error("buildBoundary(): second vertex not found in adjacent sorted vertices, weird");
+ return false;
+ }
+ }
+ bnd = vsorted[0];
+ return true;
+}
+
+bool buildBoundaries(const std::vector<MElement*>& elements, std::vector<std::vector<MVertex*> >& loops) {
+ loops.clear();
+ std::vector<MEdge> eds,veds;
+
+ for (MElement* e: elements) {
+ for (size_t j=0;j<(size_t)e->getNumEdges();j++){
+ eds.push_back(e->getEdge(j));
+ }
+ }
+
+ MEdgeLessThan melt;
+ std::sort(eds.begin(),eds.end(), melt);
+ for(size_t i=0;i<eds.size();i++){
+ if (i != eds.size()-1 && eds[i] == eds[i+1])i++;
+ else veds.push_back(eds[i]);
+ }
+
+ if (veds.size() == 0) return true; /* No boundary, e.g. sphere */
+
+ std::vector<std::vector<MVertex *> > vsorted;
+ bool oks = SortEdgeConsecutive(veds, vsorted);
+ if (!oks || vsorted.empty()) {
+ return false;
+ }
+
+ /* Reverse vertices if necessary, to keep coherent with elements orientation */
+ for (size_t l = 0; l < vsorted.size(); ++l) {
+ std::vector<MVertex*>& loop = vsorted[l];
+ /* Find a MEdge on the loop */
+ MVertex* a = nullptr;
+ MVertex* b = nullptr;
+ for (MEdge e: veds) {
+ MVertex* v1 = e.getVertex(0);
+ MVertex* v2 = e.getVertex(1);
+ auto it = std::find(loop.begin(),loop.end(),v1);
+ if (it != loop.end()) {
+ /* v1 from the MEdge found on the loop */
+ a = v1;
+ b = v2;
+ break;
+ }
+ }
+ if (a == nullptr || b == nullptr) {
+ Msg::Error("buildBoundaries(): vertex not found in sorted vertices, weird");
+ return false;
+ }
+
+ auto it = std::find(loop.begin(),loop.end(),a);
+ size_t i = it - loop.begin();
+ size_t i_next = (i+1)%loop.size();
+ size_t i_prev = (i-1+loop.size())%loop.size();
+ if (loop[i_next] == b) {
+ // good ordering
+ } else if (loop[i_prev] == b) { // apply reverse
+ std::reverse(loop.begin(),loop.end());
+ } else {
+ Msg::Error("buildBoundaries(): second vertex not found in adjacent sorted vertices, weird");
+ return false;
+ }
+ }
+
+ loops = vsorted;
+ return true;
+}
+
+bool getConnectedComponents(const std::vector<MElement*>& elements,
+ std::vector<std::vector<MElement*> >& components) {
+ components.clear();
+
+ unordered_map<MVertex *, std::vector<MElement *> > v2q;
+ for (MElement* e: elements) {
+ for (size_t lv = 0; lv < e->getNumVertices(); ++lv) {
+ v2q[e->getVertex(lv)].push_back(e);
+ }
+ }
+
+ unordered_map<MElement*,int> color;
+ int no = 0;
+ for (MElement* e0: elements) {
+ auto it = color.find(e0);
+ if (it != color.end()) continue;
+ no += 1;
+
+ std::vector<MElement*> current;
+ std::queue<MElement*> Q;
+ color[e0] = no;
+ Q.push(e0);
+ current.push_back(e0);
+
+ while (Q.size() > 0) {
+ MElement* e = Q.front();
+ Q.pop();
+ for (size_t lv = 0; lv < e->getNumVertices(); ++lv) {
+ MVertex* v = e->getVertex(lv);
+ auto it = v2q.find(v);
+ if (it == v2q.end()) continue;
+ for (MElement* e2: it->second) if (e2 != e) {
+ auto it2 = color.find(e2);
+ if (it2 == color.end()) {
+ color[e2] = no;
+ Q.push(e2);
+ current.push_back(e2);
+ }
+ }
+ }
+ }
+
+ sort_unique(current);
+ components.push_back(current);
+ }
+
+ return true;
+}
+
+bool patchFromElements(GFace* gf, const std::vector<MElement*>& elements, GFaceMeshPatch& patch, bool forceEvenIfBadBoundary) {
+ patch.gf = gf;
+ bool okb = buildBoundaries(elements, patch.bdrVertices);
+ if (!okb) {
+ if (forceEvenIfBadBoundary) {
+ /* Boundaries are not manifold, put all vertices in a unordered loop */
+ patch.bdrVertices.resize(1);
+ patch.bdrVertices[0].clear();
+ for (MElement* e: elements) {
+ for (size_t lv = 0; lv < e->getNumVertices(); ++lv) {
+ MVertex* v = e->getVertex(lv);
+ if (v->onWhat() != gf) {
+ patch.bdrVertices[0].push_back(v);
+ }
+ }
+ }
+ sort_unique(patch.bdrVertices[0]);
+ } else {
+ return false;
+ }
+ }
+
+ /* Ensure no repetition in the boundary loops */
+ for (std::vector<MVertex*>& loop: patch.bdrVertices) {
+ if (loop.back() == loop.front()) loop.pop_back();
+ }
+
+ patch.intVertices.reserve(4*elements.size());
+ for (MElement* e: elements) {
+ if (e == nullptr) {
+ Msg::Error("patchFromElements: given MElement* is nullptr");
+ return false;
+ }
+ for (size_t lv = 0; lv < e->getNumVertices(); ++lv) {
+ patch.intVertices.push_back(e->getVertex(lv));
+ }
+ }
+ std::vector<MVertex*> bdr;
+ for (size_t i = 0; i < patch.bdrVertices.size(); ++i) append(bdr, patch.bdrVertices[i]);
+ patch.intVertices = difference(patch.intVertices, bdr);
+
+ /* Vertices associated to embedded GVertex/GEdge in GFace */
+ patch.embVertices.clear();
+ for (MVertex* v: patch.intVertices) {
+ if (v->onWhat()->cast2Face() == nullptr) { /* MVertex assigned to GVertex or GEdge */
+ patch.embVertices.push_back(v);
+ }
+ }
+ if (patch.embVertices.size() > 0) {
+ patch.intVertices = difference(patch.intVertices, patch.embVertices);
+ }
+
+ patch.elements = elements;
+
+ return true;
+}
+
+bool patchFromQuads(GFace* gf, const std::vector<MQuadrangle*>& quads, GFaceMeshPatch& patch, bool forceEvenIfBadBoundary) {
+ std::vector<MElement*> elts = dynamic_cast_vector<MQuadrangle*,MElement*>(quads);
+ return patchFromElements(gf, elts, patch, forceEvenIfBadBoundary);
+}
+
+struct as2Hash {
+ size_t operator()(std::array<size_t,2> p) const noexcept {
+ return size_t(p[0]) << 32 | p[1];
+ }
+};
+
+bool patchIsTopologicallyValid(const GFaceMeshPatch& patch) {
+ std::unordered_map<std::array<size_t,2>, size_t, as2Hash> edgeVal;
+ for (MElement* f: patch.elements) {
+ size_t n = f->getNumVertices();
+ for (size_t lv = 0; lv < n; ++lv) {
+ MVertex* v = f->getVertex(lv);
+ MVertex* v2 = f->getVertex((lv+1)%n);
+ if (v->getNum() < v2->getNum()) {
+ std::array<size_t,2> vpair = {v->getNum(),v2->getNum()};
+ edgeVal[vpair] += 1;
+ } else {
+ std::array<size_t,2> vpair = {v2->getNum(),v->getNum()};
+ edgeVal[vpair] += 1;
+ }
+ }
+ }
+
+ for (auto& kv: edgeVal) {
+ if (kv.second > 2) {
+ Msg::Debug("patchIsTopologicallyValid | edge (%i,%i) non manifold, valence = %i", kv.first[0],kv.first[1], kv.second);
+ return false;
+ }
+ }
+
+ return true;
+}
+
+bool GFaceMeshDiff::execute(bool verifyPatchTopology) {
+ if (gf != before.gf || gf != after.gf) return false;
+ if (after.elements.size() == 0) return false;
+ if (done) return false;
+ if (verifyPatchTopology) {
+ bool ok = patchIsTopologicallyValid(after);
+ if (!ok) return false;
+ }
+ if (before.bdrVertices.size() != after.bdrVertices.size()) {
+ Msg::Error("GFaceMeshDiff::execute(): different boundary size before/after, should not happen");
+ return false;
+ }
+
+ /* Replace the interior vertices */
+ while (before.intVertices.size() > 0) {
+ MVertex* ov = before.intVertices.back();
+ before.intVertices.pop_back();
+ auto it = std::find(gf->mesh_vertices.begin(),gf->mesh_vertices.end(), ov);
+ if (it == gf->mesh_vertices.end()) {
+ Msg::Error("GFaceMeshDiff::execute(): vertex %li (entity dim=%i) not found in gf->mesh_vertices (size %li), should NEVER happen, memory corrupted",
+ ov->getNum(), ov->onWhat()->dim(), gf->mesh_vertices.size());
+ if (Msg::GetVerbosity() >= 99) {
+ gmsh::initialize();
+ GeoLog::add(ov->point(),0.,"bad_property_v" + std::to_string(ov->getNum()));
+ GeoLog::flush();
+ gmsh::fltk::run();
+ }
+ abort();
+ }
+ if (after.intVertices.size() > 0) {
+ /* Replace old vertex by new one, in place */
+ MVertex* nv = after.intVertices.back();
+ after.intVertices.pop_back();
+ *it = nv;
+ } else {
+ it = gf->mesh_vertices.erase(it);
+ }
+ delete ov;
+ }
+ /* Append remaining vertices */
+ while (after.intVertices.size() > 0) {
+ MVertex* nv = after.intVertices.back();
+ after.intVertices.pop_back();
+ gf->addMeshVertex(nv);
+ }
+
+ /* Replace the elements */
+ while (before.elements.size() > 0) {
+ MElement* oe = before.elements.back();
+ before.elements.pop_back();
+ MQuadrangle* oq = dynamic_cast<MQuadrangle*>(oe);
+ MTriangle* ot = dynamic_cast<MTriangle*>(oe);
+ if (oq != nullptr) {
+ auto it = std::find(gf->quadrangles.begin(),gf->quadrangles.end(), oq);
+ if (it == gf->quadrangles.end()) {
+ Msg::Error("GFaceMeshDiff::execute(): quad not found in gf->quadrangles, should NEVER happen, memory corrupted");
+ abort();
+ }
+ if (after.elements.size() > 0) {
+ /* Replace old quad by new one, in place */
+ MQuadrangle* nq = dynamic_cast<MQuadrangle*>(after.elements.back());
+ if (nq != nullptr) {
+ after.elements.pop_back();
+ *it = nq;
+ } else {
+ it = gf->quadrangles.erase(it);
+ }
+ } else {
+ it = gf->quadrangles.erase(it);
+ }
+ delete oq;
+ } else if (ot != nullptr) {
+ auto it = std::find(gf->triangles.begin(),gf->triangles.end(), ot);
+ if (it == gf->triangles.end()) {
+ Msg::Error("GFaceMeshDiff::execute(): quad not found in gf->triangles, should NEVER happen, memory corrupted");
+ abort();
+ }
+ if (after.elements.size() > 0) {
+ /* Replace old triangle by new one, in place */
+ MTriangle* nt = dynamic_cast<MTriangle*>(after.elements.back());
+ if (nt != nullptr) {
+ after.elements.pop_back();
+ *it = nt;
+ } else {
+ it = gf->triangles.erase(it);
+ }
+ } else {
+ it = gf->triangles.erase(it);
+ }
+ delete ot;
+ } else {
+ Msg::Error("GFaceMeshDiff::execute(): element is not MQuadrangle and not MTriangle, should NEVER happen, memory corrupted");
+ abort();
+ }
+ }
+ /* Append remaining elements */
+ while (after.elements.size() > 0) {
+ MElement* ne = after.elements.back();
+ after.elements.pop_back();
+ gf->addElement(ne->getType(), ne);
+ }
+
+ done = true;
+ return true;
+}
+
+GFaceMeshDiff::~GFaceMeshDiff() {
+ if (done) {
+ /* execute() should have already cleared these vectors, just doing by security */
+ for (MVertex* v: before.intVertices) if (v != nullptr) {
+ delete v;
+ v = nullptr;
+ }
+ for (MElement* e: before.elements) if (e != nullptr) {
+ delete e;
+ e = nullptr;
+ }
+ } else {
+ for (MVertex* v: after.intVertices) if (v != nullptr) {
+ delete v;
+ v = nullptr;
+ }
+ for (MElement* e: after.elements) if (e != nullptr) {
+ delete e;
+ e = nullptr;
+ }
+ }
+}
+
+PatchGeometryBackup::PatchGeometryBackup(GFaceMeshPatch& p, bool includeBoundary) {
+ for (MVertex* v: p.intVertices) {
+ SPoint2 uv(DBL_MAX,DBL_MAX);
+ GFace* gf = dynamic_cast<GFace*>(v->onWhat());
+ if (gf != nullptr) {
+ MFaceVertex* mfv = dynamic_cast<MFaceVertex*>(v);
+ if (mfv != nullptr) {
+ mfv->getParameter(0,uv.data()[0]);
+ mfv->getParameter(1,uv.data()[1]);
+ }
+ }
+ old[v] = {uv,v->point()};
+ }
+ if (includeBoundary) {
+ for (std::vector<MVertex*>& bdr : p.bdrVertices) {
+ for (MVertex* v: bdr) {
+ SPoint2 uv(DBL_MAX,DBL_MAX);
+ GFace* gf = dynamic_cast<GFace*>(v->onWhat());
+ if (gf != nullptr) {
+ MFaceVertex* mfv = dynamic_cast<MFaceVertex*>(v);
+ if (mfv != nullptr) {
+ mfv->getParameter(0,uv.data()[0]);
+ mfv->getParameter(1,uv.data()[1]);
+ }
+ }
+ old[v] = {uv,v->point()};
+ }
+ }
+ }
+}
+
+bool PatchGeometryBackup::restore() {
+ for (auto& kv: old) {
+ MVertex* v = kv.first;
+ SPoint2 uv = kv.second.first;
+ SPoint3 pt = kv.second.second;
+ if (uv.x() != DBL_MAX) {
+ v->setParameter(0,uv.x());
+ v->setParameter(1,uv.y());
+ }
+ v->setXYZ(pt.x(),pt.y(),pt.z());
+ }
+ return true;
+}
+
+MVertex* centerOfElements(const std::vector<MElement*>& elements) {
+ if (elements.size() == 0) return NULL;
+
+ std::map<std::array<MVertex*,2>,size_t> vPairCount;
+ unordered_map<MVertex*, unordered_set<MVertex*> > v2v;
+ for (MElement* f: elements) {
+ size_t N = f->getNumEdges();
+ for (size_t le = 0; le < N; ++le) {
+ MVertex* v1 = f->getVertex(le);
+ MVertex* v2 = f->getVertex((le+1)%N);
+ v2v[v1].insert(v2);
+ v2v[v2].insert(v1);
+ std::array<MVertex*,2> vPair = {v1,v2};
+ if (v2 < v1) {
+ vPair = {v2,v1};
+ }
+ vPairCount[vPair] += 1;
+ }
+ }
+
+ /* Init from boundary */
+ unordered_map<MVertex*,double> dist;
+ std::priority_queue<std::pair<double,MVertex*>, std::vector<std::pair<double,MVertex*> >, std::greater<std::pair<double,MVertex*> > > Q;
+ for (const auto& kv: vPairCount) if (kv.second == 1) {
+ dist[kv.first[0]] = 0.;
+ dist[kv.first[1]] = 0.;
+ Q.push({0.,kv.first[0]});
+ Q.push({0.,kv.first[1]});
+ }
+
+ /* Dijkstra propagation */
+ while (Q.size() > 0) {
+ MVertex* v = Q.top().second;
+ double cdist = Q.top().first;
+ Q.pop();
+ for (MVertex* v2: v2v[v]) {
+ double w_ij = v->distance(v2);
+ auto it = dist.find(v2);
+ if (it == dist.end() || cdist + w_ij < it->second) {
+ double new_dist = cdist + w_ij;
+ dist[v2] = cdist + w_ij;
+ Q.push({new_dist,v2});
+ }
+ }
+ }
+
+ double dmax = 0.;
+ MVertex* center = NULL;
+ for (const auto& kv: dist) {
+ if (kv.second > dmax) {
+ dmax = kv.second;
+ center = kv.first;
+ }
+ }
+ return center;
+}
+
+bool setVertexGFaceUV(GFace* gf, MVertex* v, double uv[2]) {
+ bool onGf = (dynamic_cast<GFace*>(v->onWhat()) == gf);
+ if (onGf) {
+ v->getParameter(0,uv[0]);
+ v->getParameter(1,uv[1]);
+ return true;
+ } else {
+ GEdge* ge = dynamic_cast<GEdge*>(v->onWhat());
+ if (ge != NULL) {
+ double t;
+ v->getParameter(0,t);
+ SPoint2 uvp = ge->reparamOnFace(gf, t, -1);
+ uv[0] = uvp.x();
+ uv[1] = uvp.y();
+ return true;
+ } else {
+ GVertex* gv = dynamic_cast<GVertex*>(v->onWhat());
+ if (gv != NULL) {
+ SPoint2 uvp = gv->reparamOnFace(gf,0);
+ uv[0] = uvp.x();
+ uv[1] = uvp.y();
+ return true;
+ }
+ }
+ }
+ uv[0] = 0.;
+ uv[1] = 0.;
+ return false;
+}
+
+bool orientElementsAccordingToBoundarySegment(MVertex* a, MVertex* b, std::vector<MElement*>& elements) {
+ int reorient = 0;
+ for (MElement* e: elements) {
+ size_t n = e->getNumVertices();
+ for (size_t lv = 0; lv < n; ++lv) {
+ MVertex* v0 = e->getVertex(lv);
+ MVertex* v1 = e->getVertex((lv+1)%n);
+ if (v0 == a && v1 == b) {
+ reorient = -1;
+ break;
+ } else if (v0 == b && v1 == a) {
+ reorient = 1;
+ break;
+ }
+ }
+ if (reorient != 0) break;
+ }
+ if (reorient == 1) {
+ for (MElement* e: elements) {
+ e->reverse();
+ }
+ } else if (reorient == 0) {
+ Msg::Error("orientElementsAccordingToBoundarySegment: bdr quad edge not found, weird");
+ return false;
+ }
+ return true;
+}
+
+void getAllParametersWithPeriodJump(MVertex *v, GFace *gf, std::vector<SPoint2> ¶ms)
+{
+ params.clear();
+
+ if(gf->geomType() == GEntity::DiscreteSurface) {
+ params.push_back(gf->parFromPoint(SPoint3(v->x(), v->y(), v->z())));
+ return;
+ }
+
+ if(v->onWhat()->dim() == 0) {
+ GVertex *gv = (GVertex *)v->onWhat();
+ std::vector<GEdge *> const &ed = gv->edges();
+ bool seam = false;
+ for(auto it = ed.begin(); it != ed.end(); it++) {
+ if((*it)->isSeam(gf)) {
+ Range<double> range = (*it)->parBounds(0);
+ if(gv == (*it)->getBeginVertex()) {
+ params.push_back((*it)->reparamOnFace(gf, range.low(), -1));
+ params.push_back((*it)->reparamOnFace(gf, range.low(), 1));
+ }
+ if(gv == (*it)->getEndVertex()) {
+ params.push_back((*it)->reparamOnFace(gf, range.high(), -1));
+ params.push_back((*it)->reparamOnFace(gf, range.high(), 1));
+ }
+ if(gv != (*it)->getBeginVertex() && gv != (*it)->getEndVertex()) {
+ Msg::Warning("Strange!");
+ }
+ seam = true;
+ }
+ }
+ if(!seam) params.push_back(gv->reparamOnFace(gf, 1));
+ }
+ else if(v->onWhat()->dim() == 1) {
+ GEdge *ge = (GEdge *)v->onWhat();
+ if(!ge->haveParametrization()) return;
+ double UU;
+ v->getParameter(0, UU);
+ if(UU == 0.0) UU = ge->parFromPoint(v->point());
+ params.push_back(ge->reparamOnFace(gf, UU, 1));
+ if(ge->isSeam(gf)) params.push_back(ge->reparamOnFace(gf, UU, -1));
+ }
+ else {
+ double UU, VV;
+ if(v->onWhat() == gf && v->getParameter(0, UU) && v->getParameter(1, VV)) {
+ params.push_back(SPoint2(UU, VV));
+ if (gf->periodic(0) && gf->periodic(1)) {
+ double Tu = gf->period(0);
+ double Tv = gf->period(1);
+ params.push_back(SPoint2(UU+Tu, VV+Tv));
+ params.push_back(SPoint2(UU+Tu, VV-Tv));
+ params.push_back(SPoint2(UU-Tu, VV+Tv));
+ params.push_back(SPoint2(UU-Tu, VV-Tv));
+ } else if (gf->periodic(0)) {
+ double Tu = gf->period(0);
+ params.push_back(SPoint2(UU+Tu, VV));
+ params.push_back(SPoint2(UU-Tu, VV));
+ } else if (gf->periodic(1)) {
+ double Tv = gf->period(1);
+ params.push_back(SPoint2(UU, VV+Tv));
+ params.push_back(SPoint2(UU, VV-Tv));
+ }
+ }
+ }
+}
+
+bool reparamMeshVertexOnFaceWithRef(GFace* gf, MVertex* v, const SPoint2& ref, SPoint2& param) {
+ std::vector<SPoint2> p1s;
+ getAllParametersWithPeriodJump(v, gf, p1s);
+ if (p1s.size() == 0) {
+ return false;
+ } else if (p1s.size() == 0) {
+ param = p1s[0];
+ return true;
+ }
+
+ double dmin2 = DBL_MAX;
+ for (size_t i = 0; i < p1s.size(); ++i) {
+ const SPoint2& uv = p1s[i];
+ double d2 = std::pow(uv.x()-ref.x(),2)+ std::pow(uv.y()-ref.y(),2);
+ if (d2 < dmin2) {
+ dmin2 = d2;
+ param = uv;
+ }
+ }
+ return true;
+}
+
+std::vector<SPoint2> paramOnElement(GFace* gf, MElement* t) {
+ if (t == nullptr) return {};
+ const size_t n = t->getNumVertices();
+ std::vector<SPoint2> uvs(n,SPoint2(0.,0.));
+
+ bool reparam = false;
+ for (size_t lv = 0; lv < n; ++lv) {
+ MVertex* v = t->getVertex(lv);
+ bool onGf = (dynamic_cast<GFace*>(v->onWhat()) == gf);
+ if (onGf) {
+ v->getParameter(0,uvs[lv][0]);
+ v->getParameter(1,uvs[lv][1]);
+ } else {
+ reparam = true;
+ }
+ }
+
+ if (reparam) {
+ bool found = false;
+ for (size_t lv = 0; lv < n; ++lv) {
+ MVertex* v = t->getVertex(lv);
+ bool onGf = (dynamic_cast<GFace*>(v->onWhat()) == gf);
+ if (onGf) {
+ v->getParameter(0,uvs[lv][0]);
+ v->getParameter(1,uvs[lv][1]);
+ for (size_t k = 1; k < n; ++k) {
+ MVertex* v2 = t->getVertex((lv+k)%n);
+ reparamMeshVertexOnFaceWithRef(gf, v2, uvs[lv], uvs[(lv+k)%n]);
+ }
+ found = true;
+ break;
+ }
+ }
+ if (!found) {
+ /* Element with no vertex inside the GFace, difficult to get
+ * good UV parametrization, we use center projection to get
+ * a initial guess */
+ SPoint3 center = t->barycenter();
+ double initialGuess[2] = {0.,0.};
+ GPoint proj = gf->closestPoint(center,initialGuess);
+ if (proj.succeeded()) {
+ SPoint2 ref(proj.u(),proj.v());
+ for (size_t k = 0; k < n; ++k) {
+ MVertex* v = t->getVertex(k);
+ reparamMeshVertexOnFaceWithRef(gf, v, ref, uvs[k]);
+ }
+ } else {
+ Msg::Error("parametrization not found for element");
+ }
+ }
+ }
+ return uvs;
+}
+
+std::vector<MTriangle*> trianglesFromQuads(const std::vector<MQuadrangle*>& quads) {
+ std::vector<MTriangle*> tris;
+ tris.reserve(2*quads.size());
+ for (MQuadrangle* q: quads) {
+ MTriangle *t11 = new MTriangle(q->getVertex(0), q->getVertex(1), q->getVertex(2));
+ MTriangle *t12 = new MTriangle(q->getVertex(0), q->getVertex(2), q->getVertex(3));
+ tris.push_back(t11);
+ tris.push_back(t12);
+ }
+ return tris;
+}
+
+bool getGFaceTriangles(GFace* gf, std::vector<MTriangle*>& triangles, bool& requireDelete) {
+ triangles.clear();
+ requireDelete = false;
+
+ /* Existing pure tri or pure quad mesh on the GFace */
+ if (gf->triangles.size() > 0 && gf->quadrangles.size() == 0) {
+ triangles = gf->triangles;
+ requireDelete = false;
+ return true;
+ } else if (gf->triangles.size() == 0 && gf->quadrangles.size() > 0) {
+ triangles = trianglesFromQuads(gf->quadrangles);
+ requireDelete = true;
+ return true;
+ }
+
+ /* Check if there is the quadqs background mesh */
+ const std::string BMESH_NAME = "bmesh_quadqs";
+ if (backgroudMeshExists(BMESH_NAME)) {
+ GlobalBackgroundMesh& bmesh = getBackgroundMesh(BMESH_NAME);
+ auto it = bmesh.faceBackgroundMeshes.find(gf);
+ if (it != bmesh.faceBackgroundMeshes.end() && it->second.triangles.size() > 0) {
+ /* Get pointers to triangles in the background mesh */
+ triangles.resize(it->second.triangles.size());
+ for (size_t i = 0; i < it->second.triangles.size(); ++i) {
+ triangles[i] = &(it->second.triangles[i]);
+ }
+ requireDelete = false;
+ return true;
+ }
+ }
+
+ /* Check if there is another background mesh */
+ for (auto& bmesh: global_bmeshes) {
+ auto it = bmesh->faceBackgroundMeshes.find(gf);
+ if (it != bmesh->faceBackgroundMeshes.end() && it->second.triangles.size() > 0) {
+ /* Get pointers to triangles in the background mesh */
+ triangles.resize(it->second.triangles.size());
+ for (size_t i = 0; i < it->second.triangles.size(); ++i) {
+ triangles[i] = &(it->second.triangles[i]);
+ }
+ requireDelete = false;
+ return true;
+ }
+ }
+
+ return false;
+}
+
+bool fillSurfaceProjector(GFace* gf, SurfaceProjector* sp) {
+ if (sp == nullptr) {
+ Msg::Error("fillSurfaceProjector: given SurfaceProjector* is null !");
+ abort();
+ }
+
+ if (gf->geomType() == GFace::GeomType::Sphere) {
+ bool oka = sp->setAnalyticalProjection(gf);
+ return oka;
+ }
+
+ bool deleteTheTris = false;
+ std::vector<MTriangle*> triangles;
+ bool okgt = getGFaceTriangles(gf, triangles, deleteTheTris);
+ if (!okgt) {
+ Msg::Error("fillSurfaceProjector: case not supported, no triangles");
+ return false;
+ }
+
+ bool oki = sp->initialize(gf, triangles);
+ if (!oki) {
+ Msg::Error("failed to initialize the surface projector");
+ }
+
+ if (deleteTheTris) {
+ for (MTriangle* t: triangles) delete t;
+ }
+
+ return true;
+}
+
+int surfaceEulerCharacteristicDiscrete(const std::vector<MTriangle*>& triangles) {
+ if (triangles.size() == 0) {
+ Msg::Error("no triangulation for face, cannot compute discrete Euler characteristic");
+ return std::numeric_limits<int>::max();
+ }
+ std::vector<size_t> vertices;
+ std::vector<std::array<size_t,2> > edges;
+ vertices.reserve(3*triangles.size());
+ edges.reserve(3*triangles.size());
+ for (MTriangle* t: triangles) {
+ for (size_t lv = 0; lv < 3; ++lv) {
+ size_t v1 = t->getVertex(lv)->getNum();
+ size_t v2 = t->getVertex((lv+1)%3)->getNum();
+ std::array<size_t,2> vPair = {v1,v2};
+ if (v1 > v2) vPair = {v2,v1};
+ edges.push_back(vPair);
+ vertices.push_back(v1);
+ }
+ }
+ sort_unique(vertices);
+ sort_unique(edges);
+ int S = triangles.size();
+ int E = edges.size();
+ int V = vertices.size();
+ return V - E + S;
+}
+
+inline void normalize_accurate(SVector3& a) {
+ double amp = std::abs(a.data()[0]);
+ amp = std::max(amp,std::abs(a.data()[1]));
+ amp = std::max(amp,std::abs(a.data()[2]));
+ if (amp == 0.) {
+ return;
+ }
+ a = amp * a;
+ a.normalize();
+}
+
+inline double angleVectors(SVector3 a, SVector3 b) {
+ if (a.normSq() == 0. || b.normSq() == 0.) return DBL_MAX;
+ normalize_accurate(a);
+ normalize_accurate(b);
+ return acos(ArrayGeometry::clamp(dot(a,b),-1.,1.));
+}
+
+bool fillGFaceInfo(GFace* gf, GFaceInfo& info, const std::vector<MTriangle*>& triangles) {
+ info.gf = gf;
+ info.chi = 0;
+ info.cornerIsNonManifold.clear();
+ for (auto& a: info.bdrValVertices) a.clear();
+ info.intSumVal3mVal5 = 0;
+
+ /* Compute geometric info */
+ robin_hood::unordered_map<GVertex*,std::vector<MElement*> > corner2tris;
+ robin_hood::unordered_map<GVertex*,double> corner2angle;
+ for (MTriangle* t: triangles) {
+ for (size_t lv = 0; lv < 3; ++lv) {
+ MVertex* v = t->getVertex(lv);
+ GVertex* gv = v->onWhat()->cast2Vertex();
+ if (gv != nullptr) {
+ MVertex* vPrev = t->getVertex((3+lv-1)%3);
+ MVertex* vNext = t->getVertex((lv+1)%3);
+ SVector3 pNext = vNext->point();
+ SVector3 pPrev = vPrev->point();
+ SVector3 pCurr = v->point();
+ double agl = angleVectors(pNext-pCurr,pPrev-pCurr);
+ corner2tris[gv].push_back(t);
+ corner2angle[gv] += agl;
+ }
+ }
+ }
+ robin_hood::unordered_set<GVertex*> boundaryCADcorners;
+ for (GEdge* ge: gf->edges()) for (GVertex* gv: ge->vertices()) {
+ boundaryCADcorners.insert(gv);
+ }
+
+ for (const auto& kv: corner2tris) {
+ GVertex* gv = kv.first;
+ /* Check if corner is manifold */
+ {
+ auto it = boundaryCADcorners.find(gv);
+ if (it == boundaryCADcorners.end()) continue; /* ignore interior GVertex */
+ }
+ std::vector<MElement*> elts = kv.second;
+ std::vector<MVertex*> bnd;
+ bool okb = buildBoundary(elts, bnd);
+ if (!okb) {
+ info.cornerIsNonManifold.insert(gv);
+ continue;
+ }
+ double angle = corner2angle[gv];
+ double angle_deg = 180. / M_PI * angle;
+ if (angle_deg < 90. + 45.) {
+ info.bdrValVertices[1].insert(gv);
+ } else if (angle_deg < 180. + 45.) {
+ info.bdrValVertices[2].insert(gv);
+ } else if (angle_deg < 270. + 45.) {
+ info.bdrValVertices[3].insert(gv);
+ } else if (angle_deg < 360.) {
+ info.bdrValVertices[4].insert(gv);
+ } else {
+ Msg::Warning("CAD vertex (surf=%i,node=%i) has angle = %f deg (interior node ?)", gf->tag(), gv->tag(), angle_deg);
+ continue;
+ }
+ }
+ info.chi = surfaceEulerCharacteristicDiscrete(triangles);
+
+ /* discrete topological relations between irregular vertices:
+ * sum3m5 = n_val3 - n_val5 = 4 \chi + m_val3 - m_val1 + 2 m_val4 */
+ info.intSumVal3mVal5 = 4*info.chi + int(info.bdrValVertices[3].size())
+ - int(info.bdrValVertices[1].size()) + 2 * int(info.bdrValVertices[4].size());
+
+ return true;
+
+}
+
+bool fillGFaceInfo(GFace* gf, GFaceInfo& info) {
+ info.gf = gf;
+ info.chi = 0;
+ info.cornerIsNonManifold.clear();
+ for (auto& a: info.bdrValVertices) a.clear();
+ info.intSumVal3mVal5 = 0;
+
+
+ bool deleteTheTris = false;
+ std::vector<MTriangle*> triangles;
+ bool okgt = getGFaceTriangles(gf, triangles, deleteTheTris);
+ if (!okgt) {
+ Msg::Error("fillSurfaceProjector: case not supported, no triangles");
+ return false;
+ }
+
+ bool okr = fillGFaceInfo(gf, info, triangles);
+
+ if (deleteTheTris) {
+ for (MTriangle* t: triangles) delete t;
+ }
+
+ return okr;
+}
+
+bool isTopologicalDisk(const GFaceInfo& info) {
+ return info.chi == 1;
+}
+
+bool haveConcaveCorners(const GFaceInfo& info) {
+ if (info.bdrValVertices[3].size() > 0 || info.bdrValVertices[4].size() > 0) {
+ return true;
+ }
+ return false;
+}
+
+bool faceOrderedSideLoops(GFace* gf, const GFaceInfo& info,
+ std::vector<std::vector<std::vector<std::pair<GEdge*,bool> > > >& loopSideEdgesAndInv) {
+ if (info.gf != gf) return false;
+ loopSideEdgesAndInv.clear();
+
+ std::unordered_set<GVertex*> isCorner;
+ for (GVertex* gv: info.bdrValVertices[1]) isCorner.insert(gv);
+ for (GVertex* gv: info.bdrValVertices[3]) isCorner.insert(gv);
+ for (GVertex* gv: info.bdrValVertices[4]) isCorner.insert(gv);
+
+ const std::vector<GEdge *>& edges = gf->edges();
+ std::unordered_map<GVertex*, std::vector<GEdge*> > v2e;
+ for (GEdge* ge: edges) {
+ for (GVertex* gv: ge->vertices()) v2e[gv].push_back(ge);
+ }
+ for (auto& kv: v2e) sort_unique(kv.second);
+
+
+ std::unordered_set<GEdge*> visited;
+
+ int withCorner = 0;
+ int withoutCorner = 1;
+ for (int pass: {withCorner, withoutCorner}) {
+ for (GEdge* e0: edges) {
+ bool already = (visited.find(e0) != visited.end());
+ if (already) continue;
+
+ if (e0->periodic(0)) {
+ /* New loop with a single periodic GEdge */
+ loopSideEdgesAndInv.resize(loopSideEdgesAndInv.size()+1);
+ loopSideEdgesAndInv.back() = { { {e0,false} } };
+ visited.insert(e0);
+ continue;
+ }
+
+ GVertex* v1 = e0->vertices()[0];
+ GVertex* v2 = e0->vertices()[1];
+ if (pass == withCorner) {
+ bool v1IsCorner = (isCorner.find(v1) != isCorner.end());
+ if (!v1IsCorner) continue;
+ }
+
+ /* New loop */
+ loopSideEdgesAndInv.resize(loopSideEdgesAndInv.size()+1);
+
+
+ if (pass == withoutCorner) { /* New side from no corner */
+ loopSideEdgesAndInv.back().resize(loopSideEdgesAndInv.back().size()+1);
+ }
+
+ size_t infLoop = 0;
+ GVertex* v = v1;
+ GEdge* e = e0;
+ bool inv = false;
+ do {
+ infLoop += 1;
+ if (infLoop > 1e6) {
+ Msg::Warning("infinite loop in edges of face %i, cancel simple quad mesh", gf->tag());
+ return -1;
+ }
+ bool vIsCorner = (isCorner.find(v) != isCorner.end());
+ if (vIsCorner) { /* new side in current loop */
+ loopSideEdgesAndInv.back().resize(loopSideEdgesAndInv.back().size()+1);
+ }
+ v1 = e->vertices()[0];
+ v2 = e->vertices()[1];
+
+ inv = (v == v2);
+
+ loopSideEdgesAndInv.back().back().push_back({e,inv});
+
+ visited.insert(e);
+
+ GVertex* v_next = NULL;
+ if (v2 != v) {
+ v_next = v2;
+ } else {
+ v_next = v1;
+ }
+ GEdge* e_next = NULL;
+ if (v2e[v_next].size() == 2) {
+ e_next = (v2e[v_next][0] != e) ? v2e[v_next][0] : v2e[v_next][1];
+ } else {
+ Msg::Warning("non manifold edge loop around face %li, cancel simple quad mesh", gf->tag());
+ return -1;
+ }
+
+ e = e_next;
+ v = v_next;
+ } while (e != e0);
+ }
+ }
+
+ // Msg::Warning("- Face %i: %li loops", gf->tag(), loopSideEdgesAndInv.size());
+ // for (size_t i = 0; i < loopSideEdgesAndInv.size(); ++i) {
+ // Msg::Warning("- loop %li: %li sides", i, loopSideEdgesAndInv[i].size());
+ // for (size_t j = 0; j < loopSideEdgesAndInv[i].size(); ++j) {
+ // Msg::Warning("- side %li: %li edges ", j, loopSideEdgesAndInv[i][j].size());
+ // }
+ // }
+
+ return true;
+}
+
+bool appendCADStatistics(GModel* gm, std::unordered_map<std::string,double>& stats, const std::string& prefix) {
+ stats[prefix+"n_corners"] = double(gm->getVertices().size());
+ stats[prefix+"n_curves"] = double(model_edges(gm).size());
+ stats[prefix+"n_faces"] = double(model_faces(gm).size());
+ stats[prefix+"n_volumes"] = double(gm->getRegions().size());
+ return true;
+}
+
+bool appendQuadMeshStatistics(GModel* gm, std::unordered_map<std::string,double>& stats, const std::string& prefix) {
+ Msg::Debug("compute quad mesh statistics ...");
+ /* Stats on regularity of vertices */
+ std::vector<MQuadrangle*> all_quads;
+ {
+ std::vector<int> nValFace(10,0);
+ std::vector<int> nValCurve(10,0);
+ std::vector<int> nValCorner(10,0);
+ double nVert = 0.; /* repetition on shared GVertex / GEdge */
+ double nQuad = 0.;
+ for (GFace* gf: model_faces(gm)) {
+ append(all_quads,gf->quadrangles);
+ unordered_map<MVertex *, std::vector<MElement *> > adj;
+ for (MQuadrangle* f: gf->quadrangles) {
+ nQuad += 1.;
+ for (size_t lv = 0; lv < 4; ++lv) {
+ MVertex* v = f->getVertex(lv);
+ adj[v].push_back(f);
+ }
+ }
+ for (auto& kv: adj) {
+ nVert += 1.;
+ MVertex* v = kv.first;
+ GEntity* ent = v->onWhat();
+ bool onCorner = (dynamic_cast<GVertex*>(ent) != NULL);
+ bool onCurve = (dynamic_cast<GEdge*>(ent) != NULL);
+ bool onFace = (dynamic_cast<GFace*>(ent) != NULL);
+ int val = (int) kv.second.size();
+ if (onCorner) {
+ if ((size_t)val >= nValCorner.size()) nValCorner.resize(val+1);
+ nValCorner[val] += 1;
+ } else if (onCurve) {
+ if ((size_t)val >= nValCurve.size()) nValCurve.resize(val+1);
+ nValCurve[val] += 1;
+ } else if (onFace) {
+ if ((size_t)val >= nValFace.size()) nValFace.resize(val+1);
+ nValFace[val] += 1;
+ }
+ }
+ }
+ double regular = 0.;
+ double irregular = 0.;
+ double very_irregular = 0.;
+ double val3 = 0.;
+ double val5 = 0.;
+ for (size_t val = 0; val < nValCurve.size(); ++val) {
+ if (val == 2) {
+ regular += double(nValCurve[val]);
+ } else if (val == 1 || val == 3){
+ irregular += double(nValCurve[val]);
+ } else {
+ very_irregular += double(nValCurve[val]);
+ }
+ }
+ for (size_t val = 0; val < nValFace.size(); ++val) {
+ if (val == 4) {
+ regular += double(nValFace[val]);
+ } else if (val == 3) {
+ irregular += double(nValFace[val]);
+ val3 += double(nValFace[val]);
+ } else if (val == 5) {
+ irregular += double(nValFace[val]);
+ val5 += double(nValFace[val]);
+ } else {
+ very_irregular += double(nValFace[val]);
+ }
+ }
+ stats[prefix+"n_quads"] = nQuad;
+ stats[prefix+"n_vertices"] = nVert;
+ stats[prefix+"n_regular"] = regular;
+ stats[prefix+"n_irregular"] = irregular;
+ stats[prefix+"n_very_irregular"] = very_irregular;
+ stats[prefix+"n_val3"] = val3;
+ stats[prefix+"n_val5"] = val5;
+ }
+
+ /* Quality stats */
+ if (all_quads.size() > 0){
+ std::vector<double> quality(all_quads.size());
+ std::vector<double> edgeLen(4*all_quads.size());
+ double edge_len_min = DBL_MAX;
+ double edge_len_avg = 0.;
+ double edge_len_max = 0.;
+ double edge_n = 0.;
+ double avg = 0.;
+ for (size_t f = 0; f < all_quads.size(); ++f) {
+ quality[f] = all_quads[f]->minSICNShapeMeasure();
+ avg += quality[f];
+ for (size_t le = 0; le < 4; ++le) {
+ SPoint3 p1 = all_quads[f]->getVertex(le)->point();
+ SPoint3 p2 = all_quads[f]->getVertex((le+1)%4)->point();
+ double len = p1.distance(p2);
+ edgeLen[4*f+le] = len;
+ edge_len_min = std::min(edge_len_min, len);
+ edge_len_max = std::max(edge_len_max, len);
+ edge_len_avg += len;
+ edge_n += 1.;
+ }
+ }
+ avg /= quality.size();
+ edge_len_avg /= edge_n;
+ std::sort(quality.begin(),quality.end());
+ std::sort(edgeLen.begin(),edgeLen.end());
+ stats[prefix+"SICN_min"] = quality[0];
+ stats[prefix+"SICN_avg"] = avg;
+ stats[prefix+"SICN_max"] = quality.back();
+ stats[prefix+"SICN_med"] = quality[size_t(0.50*double(quality.size()))];
+ // stats[prefix+"SICN_01% <"] = quality[size_t(0.01*double(quality.size()))];
+ // stats[prefix+"SICN_10% <"] = quality[size_t(0.10*double(quality.size()))];
+ // stats[prefix+"SICN_25% <"] = quality[size_t(0.25*double(quality.size()))];
+ // stats[prefix+"SICN_50% <"] = quality[size_t(0.50*double(quality.size()))];
+ // stats[prefix+"SICN_75% <"] = quality[size_t(0.75*double(quality.size()))];
+ // stats[prefix+"SICN_90% <"] = quality[size_t(0.90*double(quality.size()))];
+ // stats[prefix+"SICN_99% <"] = quality[size_t(0.99*double(quality.size()))];
+
+ stats[prefix+"edge_min"] = edgeLen.front();
+ stats[prefix+"edge_avg"] = edge_len_avg;
+ stats[prefix+"edge_med"] = edgeLen[size_t(0.5*double(edgeLen.size()))];
+ stats[prefix+"edge_max"] = edgeLen.back();
+ }
+
+
+ return true;
+}
+
+void printStatistics(const unordered_map<std::string,double>& stats, const std::string& title) {
+ std::vector<std::string> keys;
+ for (auto& kv: stats) keys.push_back(kv.first);
+ std::sort(keys.begin(),keys.end());
+ Msg::Info("%s", title.c_str());;
+ for (std::string key: keys) {
+ double val = stats.at(key);
+ if (std::trunc(val) == val) {
+ Msg::Info("- %s: %i", key.c_str(),int(val));
+ } else {
+ Msg::Info("- %s: %f", key.c_str(),val);
+ }
+ }
+}
+
+void writeStatistics(const unordered_map<std::string,double>& stats, const std::string& path) {
+ std::vector<std::string> keys;
+ for (auto& kv: stats) keys.push_back(kv.first);
+ std::sort(keys.begin(),keys.end());
+
+ std::ofstream out(path);
+ out << "{\n";
+ for (size_t i = 0; i < keys.size(); ++i) {
+ std::string key = keys[i];
+ double val = stats.at(key);
+ if (std::trunc(val) == val) {
+ out << "\"" << key << "\"" << ": " << int(val);
+ } else {
+ out << "\"" << key << "\"" << ": " << val;
+ }
+ if ((int)i < (int)keys.size()-1) {
+ out << ",\n";
+ } else {
+ out << "\n";
+ }
+ }
+ out << "}\n";
+ out.close();
+}
+
+void errorAndAbortIfNegativeElement(GFace* gf, const std::vector<MElement*>& elts, const std::string& msg) {
+ Msg::Debug("errorAndAbortIfNegativeElement ... (! SLOW !)");
+ double vmin = DBL_MAX;
+ for (MElement* e: elts) {
+ double q = e->minSICNShapeMeasure();
+ vmin = std::min(vmin,q);
+ }
+ if (vmin < 0.) {
+ Msg::Error("Face %i, negative element (in %li tested): SICN min = %.3f. %s", gf->tag(), elts.size(), vmin, msg.c_str());
+ abort();
+ }
+}
+
+void errorAndAbortIfInvalidVertex(MVertex* v, const std::string& msg) {
+ size_t numMax = GModel::current()->getMaxVertexNumber();
+ if (v == nullptr) {
+ Msg::Error("Invalid vertex: v = %p | %s",
+ v, msg.c_str());
+ abort();
+ }
+ if (v->getNum() > numMax) {
+ Msg::Error("Invalid vertex: v = %p, num = %li > numMax=%li | %s",
+ v, v->getNum(), numMax, msg.c_str());
+ abort();
+ }
+ GEntity* ge = v->onWhat();
+ if (ge == nullptr) {
+ Msg::Error("Invalid vertex: v = %p, num = %li has no entity | %s",
+ v, v->getNum(), msg.c_str());
+ abort();
+ }
+ auto it = std::find(ge->mesh_vertices.begin(),ge->mesh_vertices.end(),v);
+ if (it == ge->mesh_vertices.end()) {
+ Msg::Error("Invalid vertex: v = %p, num = %li, not found in its entity mesh_vertices (dim %i, tag %i) | %s",
+ v, v->getNum(), ge->dim(), ge->tag(), msg.c_str());
+ abort();
+ }
+}
+
+void errorAndAbortIfInvalidVertexInElements(const std::vector<MElement*>& elts, const std::string& msg) {
+ Msg::Debug("errorAndAbortIfInvalidVertexInElements ... (! SLOW !)");
+ size_t numMax = GModel::current()->getMaxVertexNumber();
+ for (MElement* e: elts) {
+ if (e == nullptr) continue;
+ for (size_t lv = 0; lv < e->getNumVertices(); ++lv) {
+ MVertex* v = e->getVertex(lv);
+ if (v == nullptr) {
+ Msg::Error("Element %li (dim %i), invalid vertex: lv = %li: v = %p | %s",
+ e->getNum(), e->getDim(), lv, v, msg.c_str());
+ abort();
+ }
+ if (v->getNum() > numMax) {
+ Msg::Error("Element %li (dim %i), invalid vertex: lv = %li: v = %p, num = %li > numMax=%li | %s",
+ e->getNum(), e->getDim(), lv, v, v->getNum(), numMax, msg.c_str());
+ abort();
+ }
+ GEntity* ge = v->onWhat();
+ if (ge == nullptr) {
+ Msg::Error("Element %li (dim %i), invalid vertex: lv = %li: v = %p, num = %li has no entity | %s",
+ e->getNum(), e->getDim(), lv, v, v->getNum(), msg.c_str());
+ abort();
+ }
+ auto it = std::find(ge->mesh_vertices.begin(),ge->mesh_vertices.end(),v);
+ if (it == ge->mesh_vertices.end()) {
+ Msg::Error("Element %li (dim %i), invalid vertex: lv = %li: v = %p, num = %li, not found in its entity mesh_vertices (dim %i, tag %i) | %s",
+ e->getNum(), e->getDim(), lv, v, v->getNum(), ge->dim(), ge->tag(), msg.c_str());
+ abort();
+ }
+
+ // // this ones require to rebuild vertex cache
+ // MVertex* v2 = GModel::current()->getMeshVertexByTag(v->getNum());
+ // if (v2 != v) {
+ // Msg::Error("Element %li (dim %i), invalid vertex: lv = %li: v = %p, num = %li -> getMeshVertexByTag -> v = %p | %s",
+ // e->getNum(), e->getDim(), lv, v, v->getNum(), v2, msg.c_str());
+ // abort();
+ // }
+ }
+ }
+}
+
+void errorAndAbortIfInvalidVertexInModel(GModel* gm, const std::string& msg) {
+ Msg::Debug("errorAndAbortIfInvalidVertexInModel ... (! SLOW !)");
+ for (GVertex* gv: gm->getVertices()) {
+ for (MVertex* v: gv->mesh_vertices) {
+ errorAndAbortIfInvalidVertex(v, msg);
+ }
+ }
+ for (GEdge* ge: model_edges(gm)) {
+ errorAndAbortIfInvalidVertexInElements(dynamic_cast_vector<MLine*,MElement*>(ge->lines), msg);
+ }
+ for (GFace* gf: model_faces(gm)) {
+ errorAndAbortIfInvalidVertexInElements(dynamic_cast_vector<MTriangle*,MElement*>(gf->triangles), msg);
+ errorAndAbortIfInvalidVertexInElements(dynamic_cast_vector<MQuadrangle*,MElement*>(gf->quadrangles), msg);
+ }
+}
+
+std::string randomIdentifier() {
+ return std::to_string(rand());
+}
diff --git a/contrib/QuadMeshingTools/qmtMeshUtils.h b/contrib/QuadMeshingTools/qmtMeshUtils.h
new file mode 100644
index 0000000000000000000000000000000000000000..ebdde427dd480b8a01580ed70ac19164a4d11119
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtMeshUtils.h
@@ -0,0 +1,151 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#pragma once
+
+#include <set>
+#include <vector>
+#include <string>
+#include <unordered_map>
+#include "SPoint2.h"
+#include "SPoint3.h"
+
+
+class GModel;
+class GVertex;
+class GFace;
+class GEdge;
+class MTriangle;
+class MQuadrangle;
+class MVertex;
+class MElement;
+class SurfaceProjector;
+
+std::vector<GFace*> model_faces(const GModel* gm);
+std::vector<GEdge*> face_edges(const GFace* gf);
+std::vector<GEdge*> model_edges(const GModel* gm);
+
+bool haveNiceParametrization(GFace* gf);
+
+bool buildVertexToVertexMap(
+ const std::vector<MTriangle*>& triangles,
+ std::unordered_map<MVertex*,std::vector<MVertex*> >& v2v);
+
+
+struct GFaceMeshPatch {
+ /* Warning: simple container for pointers, memory not managed by this struct.
+ * The GFaceMeshDiff wrapper is doing some memory management for the content. */
+ GFace* gf = nullptr;
+ /* bdrVertices are the ordered boundary loops, there is only one
+ * if patch is a topological disk */
+ std::vector<std::vector<MVertex*> > bdrVertices;
+ std::vector<MVertex*> intVertices; /* interior free vertices */
+ std::vector<MVertex*> embVertices; /* fixed vertices inside patch */
+ std::vector<MElement*> elements;
+};
+
+
+bool buildBoundary (const std::vector<MElement*>& elements, std::vector<MVertex*>& bnd);
+bool buildBoundaries(const std::vector<MElement*>& elements, std::vector<std::vector<MVertex*> >& loops);
+bool patchFromElements(GFace* gf, const std::vector<MElement*>& elements, GFaceMeshPatch& patch, bool forceEvenIfBadBoundary = false);
+bool patchFromQuads(GFace* gf, const std::vector<MQuadrangle*>& quads, GFaceMeshPatch& patch, bool forceEvenIfBadBoundary = false);
+
+
+void sicnQuality(const GFaceMeshPatch& patch, double& sicnMin, double& sicnAvg);
+
+bool patchIsTopologicallyValid(const GFaceMeshPatch& patch);
+
+bool getConnectedComponents(const std::vector<MElement*>& elements,
+ std::vector<std::vector<MElement*> >& components);
+
+bool setVertexGFaceUV(GFace* gf, MVertex* v, double uv[2]);
+
+MVertex* centerOfElements(const std::vector<MElement*>& elements);
+
+bool orientElementsAccordingToBoundarySegment(MVertex* a, MVertex* b, std::vector<MElement*>& elements);
+
+bool reparamMeshVertexOnFaceWithRef(GFace* gf, MVertex* v, const SPoint2& ref, SPoint2& param);
+
+std::vector<SPoint2> paramOnElement(GFace* gf, MElement* e);
+
+/* warning: triangles are allocated, should be delete by the caller */
+std::vector<MTriangle*> trianglesFromQuads(const std::vector<MQuadrangle*>& quads);
+
+bool getGFaceTriangles(GFace* gf, std::vector<MTriangle*>& triangles, bool& requireDelete);
+
+
+bool fillSurfaceProjector(GFace* gf, SurfaceProjector* sp);
+
+int surfaceEulerCharacteristicDiscrete(const std::vector<MTriangle*>& triangles);
+
+struct GFaceInfo {
+ GFace* gf = NULL;
+ int chi = 0;
+ std::set<GVertex*> cornerIsNonManifold;
+ std::array<std::set<GVertex*>,5> bdrValVertices;
+ int intSumVal3mVal5 = 0;
+};
+
+bool fillGFaceInfo(GFace* gf, GFaceInfo& info, const std::vector<MTriangle*>& triangles);
+bool fillGFaceInfo(GFace* gf, GFaceInfo& info);
+
+bool isTopologicalDisk(const GFaceInfo& info);
+bool haveConcaveCorners(const GFaceInfo& info);
+
+bool faceOrderedSideLoops(GFace* gf, const GFaceInfo& info,
+ std::vector<std::vector<std::vector<std::pair<GEdge*,bool> > > >& loopSideEdgesAndInv);
+
+bool appendCADStatistics(GModel* gm, std::unordered_map<std::string,double>& stats, const std::string& prefix = "CAD_");
+bool appendQuadMeshStatistics(GModel* gm, std::unordered_map<std::string,double>& stats, const std::string& prefix = "Mesh_");
+void printStatistics(const std::unordered_map<std::string,double>& stats, const std::string& title = "Statistics:");
+void writeStatistics(const std::unordered_map<std::string,double>& stats, const std::string& path); /* json format */
+
+void errorAndAbortIfNegativeElement(GFace* gf, const std::vector<MElement*>& elts, const std::string& msg = "");
+void errorAndAbortIfInvalidVertexInElements(const std::vector<MElement*>& elts, const std::string& msg = "");
+void errorAndAbortIfInvalidVertexInModel(GModel* gm, const std::string& msg = "");
+
+std::string randomIdentifier();
+
+struct GFaceMeshDiff {
+ GFace* gf = nullptr;
+ GFaceMeshPatch before;
+ GFaceMeshPatch after;
+ bool done = false;
+
+ /**
+ * @brief Update the GFace with the new vertices/elements
+ * and remove/delete the old ones.
+ *
+ * @param[in] verifyPatchTopology Check if the patch after is manifold
+ *
+ * @return true if success
+ */
+ bool execute(bool verifyPatchTopology = false);
+
+ /**
+ * @brief Destructor, delete/remove the new or old components
+ * depending on the value of the variable done.
+ */
+ ~GFaceMeshDiff();
+};
+
+
+/**
+ * @brief Store the geometry (uv + 3D) of a GFaceMeshPatch.
+ * Useful to restore the initial geometry after trying
+ * various smoothing operations that were not successful.
+ */
+struct PatchGeometryBackup {
+ std::vector<MVertex*> vertices;
+ std::vector<SPoint2> UVs;
+ std::vector<SPoint3> positions;
+ std::unordered_map<MVertex*,std::pair<SPoint2,SPoint3> > old;
+
+ PatchGeometryBackup(GFaceMeshPatch& p, bool includeBoundary = false);
+ bool restore();
+};
+
diff --git a/contrib/QuadMeshingTools/qmtQuadCavityRemeshing.cpp b/contrib/QuadMeshingTools/qmtQuadCavityRemeshing.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..055ecb3d3aa0ea07577bbca1567e9836c492f52b
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtQuadCavityRemeshing.cpp
@@ -0,0 +1,2968 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#include "qmtQuadCavityRemeshing.h"
+
+/* System includes */
+// #include <vector>
+// #include <array>
+// #include <unordered_map>
+// #include <cstdint>
+// #include <cmath>
+#include <queue>
+#include <unordered_set>
+// #include <algorithm>
+
+/* Gmsh includes */
+#include "GmshMessage.h"
+#include "OS.h"
+#include "GVertex.h"
+#include "GEdge.h"
+#include "GFace.h"
+#include "GModel.h"
+#include "MVertex.h"
+#include "MLine.h"
+#include "MElement.h"
+#include "MTriangle.h"
+#include "MQuadrangle.h"
+#include "BackgroundMesh.h"
+#include "StringUtils.h"
+#include "meshOctreeLibOL.h"
+#include "gmsh.h" // api
+
+/* QuadMeshingTools includes */
+#include "cppUtils.h"
+#include "qmtMeshUtils.h"
+#include "qmtMeshGeometryOptimization.h"
+#include "row_echelon_integer.hpp"
+#include "geolog.h"
+#include "robin_hood.h" // fast unordered_set and unordered_map
+
+using namespace CppUtils;
+
+const size_t PATTERN_QUAD_REGULAR = 0;
+const size_t PATTERN_TRIANGLE = 1;
+const size_t PATTERN_PENTAGON = 2;
+const size_t PATTERN_QUAD_DIAG35 = 3;
+const size_t PATTERN_QUAD_ALIGNED35 = 4;
+const size_t PATTERN_QUAD_CHORD_UTURN = 5;
+const size_t PATTERN_2CORNERS = 6;
+const size_t PATTERN_1CORNER = 7;
+const size_t PATTERN_DISK = 8;
+
+size_t patternNumberOfCorners(size_t pId) {
+ switch (pId) {
+ case PATTERN_QUAD_REGULAR:
+ return 4;
+ case PATTERN_TRIANGLE:
+ return 3;
+ case PATTERN_PENTAGON:
+ return 5;
+ case PATTERN_QUAD_DIAG35:
+ return 4;
+ case PATTERN_QUAD_ALIGNED35:
+ return 4;
+ case PATTERN_QUAD_CHORD_UTURN:
+ return 4;
+ case PATTERN_2CORNERS:
+ return 2;
+ case PATTERN_1CORNER:
+ return 1;
+ case PATTERN_DISK:
+ return 0;
+ default:
+ Msg::Error("patternNumberOfCorners: pattern not supported");
+ };
+ return 0;
+}
+
+
+namespace QMT {
+ using std::vector;
+ using std::array;
+
+
+ /* robin_hood hash sets and maps are much faster than the STL version */
+ // using std::unordered_map;
+ // using std::unordered_set;
+
+ template <typename Key, typename T, typename Hash = robin_hood::hash<Key>,
+ typename KeyEqual = std::equal_to<Key>, size_t MaxLoadFactor100 = 80>
+ using unordered_map = robin_hood::detail::Table<true, MaxLoadFactor100, Key, T, Hash, KeyEqual>;
+
+ template <typename Key, typename Hash = robin_hood::hash<Key>, typename KeyEqual = std::equal_to<Key>,
+ size_t MaxLoadFactor100 = 80>
+ using unordered_set = robin_hood::detail::Table<true, MaxLoadFactor100, Key, void, Hash, KeyEqual>;
+
+ /* hash_combine from boost */
+ template <class T>
+ inline void hash_combine(std::size_t& seed, const T& v)
+ {
+ std::hash<T> hasher;
+ seed ^= hasher(v) + 0x9e3779b9 + (seed<<6) + (seed>>2);
+ }
+
+
+ using id = uint32_t;
+ using id2 = std::array<id,2>;
+ using id4 = std::array<id,4>;
+
+ constexpr bool DBG_VERBOSE = false;
+
+ /* Quad meshes of patterns, known at compile time
+ * These patterns must be CONVEX
+ * WARNING: orientation of quads must be coherent ! */
+ const std::vector<std::pair<size_t,std::vector<id4> > > quad_meshes = {
+ /* regular quad patch */
+ {PATTERN_QUAD_REGULAR,{{0,1,2,3}}},
+
+ /* triangular patch with one val3 singularity */
+ {PATTERN_TRIANGLE,{{0,1,6,5},{1,2,3,6},{3,4,5,6}}},
+
+ /* pentagonal patch with one val5 singularity */
+ {PATTERN_PENTAGON,{{0, 1, 2, 3}, {0, 5, 4, 1}, {0, 7, 6, 5}, {0, 9, 8, 7}, {0, 3, 10, 9}}},
+
+ /* quad patch with one val3 and one val5 singularities (on diagonal) */
+ {PATTERN_QUAD_DIAG35,{{0, 1, 2, 3}, {0, 5, 4, 1}, {0, 7, 6, 5}, {0, 9, 8, 7}, {0, 3, 10, 9}, {8, 9, 10, 11}}},
+
+ /* quad patch with one val3, one val5 singularities and two regular inside (3-5 pair for size transition) */
+ {PATTERN_QUAD_ALIGNED35,{{0, 1, 2, 3}, {0, 5, 4, 1}, {0, 7, 6, 5}, {0, 9, 8, 7}, {0, 3, 10, 9}, {9, 10, 12, 11}, {3, 13, 12, 10}, {8, 9, 11, 14}, {2, 15, 13, 3}}},
+
+ /* quad patch with two val3, two val5 inside, size transition by having a chord making a U-turn */
+ {PATTERN_QUAD_CHORD_UTURN,{{0, 1, 2, 3}, {0, 5, 4, 1}, {0, 7, 6, 5}, {0, 9, 8, 7}, {0, 3, 10, 9}, {9, 10, 12, 11}, {9, 11, 14, 13}, {8, 9, 13, 15}, {6, 7, 8, 15}}},
+
+ /* patch with two corners, two val3 singularities inside (good for eye shape) */
+ {PATTERN_2CORNERS,{{0, 1, 2, 3}, {0, 5, 4, 1}, {0, 3, 6, 5}, {4, 5, 6, 7}}},
+
+ /* patch with one corner, three val3 singularities inside and one regular vertiex */
+ {PATTERN_1CORNER,{{0,1,6,5},{1,2,7,6},{2,3,8,7},{3,4,9,8},{4,5,6,9},{6,7,8,9}}},
+
+ /* disk pattern (no corners) */
+ {PATTERN_DISK,{{0,1,6,5},{1,2,7,6},{2,3,4,7},{0,5,4,3},{4,5,6,7}}},
+ };
+
+ constexpr id NO_ID = (id) -1;
+ inline id2 sorted(id v1, id v2) { if (v1 < v2) { return {v1,v2}; } else { return {v2,v1}; } }
+ inline id2 sorted(id2 e) { if (e[0] < e[1]) { return {e[0],e[1]}; } else { return {e[1],e[0]}; } }
+
+ struct id2hash {
+ size_t operator()(const id2 &pr) const noexcept {
+ size_t seed = 0;
+ hash_combine(seed, robin_hood::hash_bytes(&(pr[0]), sizeof(id)));
+ hash_combine(seed, robin_hood::hash_bytes(&(pr[1]), sizeof(id)));
+ return seed;
+ }
+ };
+
+ struct vidHash {
+ size_t operator()(const std::vector<id>& p) const noexcept {
+ size_t seed = 0;
+ for (size_t i = 0; i < p.size(); ++i) {
+ hash_combine(seed, robin_hood::hash_bytes(&(p[i]), sizeof(id)));
+ }
+ return seed;
+ }
+ };
+
+ bool build_quad_chord(const vector<id4>& quadEdges, const vector<vector<id> >& e2f, id eStart, std::vector<id>& chordEdges) {
+ chordEdges.size();
+
+ vector<bool> visited(e2f.size(),false);
+
+ /* Init */
+ visited[eStart] = true;
+ std::queue<id> qq;
+ qq.push(eStart);
+
+ /* Propagation */
+ while (qq.size() > 0) {
+ id e = qq.front();
+ qq.pop();
+ chordEdges.push_back(e);
+
+ for (size_t lf = 0; lf < e2f[e].size(); ++lf) {
+ id f = e2f[e][lf];
+ id oe = NO_ID;
+ for (size_t le = 0; le < 4; ++le) {
+ if (quadEdges[f][le] == e) {
+ oe = quadEdges[f][(le+2)%4];
+ break;
+ }
+ }
+ if (oe == NO_ID) return false;
+ if (visited[oe]) continue;
+ visited[oe] = true;
+ qq.push(oe);
+ }
+ }
+
+ sort_unique(chordEdges);
+
+ return true;
+ }
+
+ double sum_sqrt(const vector<int>& values) {
+ double s = 0.;
+ for (const auto& v: values) s += sqrt(v);
+ return s;
+ }
+
+ bool all_strictly_positive(const vector<int>& values) {
+ for (const auto& v: values) if (v <= 0) return false;
+ return true;
+ }
+
+ /* Struct to interface with row_echelon_integer.hpp */
+ struct IMatrix {
+ /* Data */
+ int m;
+ int n;
+ std::vector<int> a;
+
+ /* Methods */
+ IMatrix(int m_, int n_): m(m_), n(n_) {
+ a.resize(m*n,0);
+ }
+
+ void set(int i, int j, int value) { a[i+j*m] = value; }
+ int get(int i, int j) const {return a[i+j*m]; }
+
+ int tansform_to_row_reduced_echelon() {
+ return i4mat_ref(m,n,a.data());
+ }
+
+ void print(const std::string& title = "IMatrix") {
+ i4mat_print(m, n, a.data(), title);
+ }
+
+ double solution_score(const std::vector<int>& x) {
+ if (x.size() != (size_t) n-1) return 0.;
+ for (int j = 0; j < n-1; ++j) {
+ if (x[j] == 0) return 0.;
+ }
+
+ /* Verify x is solution */
+ for (int i = 0; i < m; ++i) {
+ int sum = 0;
+ for (int j = 0; j < n-1; ++j) {
+ sum += x[j] * get(i,j);
+ }
+ sum += get(i,n-1);
+ if (sum != 0) { /* Not a solution */
+ return 0.;
+ }
+ }
+
+ return sum_sqrt(x);
+ }
+
+ double get_positive_solution_DFS(std::vector<int>& x, int& count, int count_limit, const std::vector<double>& x_ideal, int& ncalls) {
+ if (x.size() == 0) {
+ x.resize(n-1,0);
+ /* Check if a unknown is uncontrained. Happen with purely internal chords */
+ int sum_rhs = 0;
+ vector<bool> touched(x.size(),false);
+ for (int i = 0; i < m; ++i) {
+ for (int j = 0; j < n-1; ++j) {
+ int acoef = get(i,j);
+ if (acoef != 0) {
+ touched[j] = true;
+ }
+ }
+ sum_rhs += std::abs(get(i,n-1));
+ }
+ for (int j = 0; j < n-1; ++j) if (!touched[j]) {
+ x[j] = sum_rhs / (n-1);
+ if (x[j] < 0) x[j] = 1;
+ }
+ }
+
+ ncalls += 1;
+ if (ncalls > 1e7) {
+ Msg::Debug("get_positive_solution_DFS: infinite loop ? %i calls in recursion", ncalls);
+ return 0.;
+ }
+ if (all_strictly_positive(x)) count += 1;
+ if (count > count_limit) return 0.;
+
+ /* Stop condition: x is solution and has positive score */
+ double current_score = solution_score(x);
+ if (current_score > 0.) return current_score;
+
+
+ double best_score = 0.;
+ vector<int> best_x;
+ std::vector<int> undetermined;
+ /* Loop from last line to first line */
+ for (int i = m-1; i >= 0; --i) {
+ undetermined.clear();
+ /* Check line */
+ int total = -1 * get(i,n-1);
+ for (int j = 0; j < n-1; ++j) {
+ int w = get(i,j);
+ if (w != 0) {
+ if (x[j] == 0) {
+ undetermined.push_back(j);
+ } else {
+ total -= w * x[j];
+ }
+ }
+ }
+ if (undetermined.size() == 0) {
+ if (total == 0) {
+ continue;
+ } else {
+ return 0.;
+ }
+ }
+
+ /* Fix one value and make recursive call */
+ if (undetermined.size() == 1) {
+ int j = undetermined[0];
+ int w = get(i,j);
+ if (total % w == 0) {
+ int candidate = total / w;
+ if (candidate < 1) return 0.;
+ vector<int> x2 = x;
+ x2[j] = candidate;
+ double sub_score = get_positive_solution_DFS(x2, count, count_limit, x_ideal, ncalls);
+ if (sub_score > 0.) { /* Found a solution ! Return this one */
+ x = x2;
+ return sub_score;
+ }
+ }
+ } else {
+ double sum = 0.;
+ for (size_t k = 0; k < undetermined.size(); ++k) {
+ int j = undetermined[k];
+ int w = get(i,j);
+ sum += std::abs(w);
+ }
+ for (size_t k = 0; k < undetermined.size(); ++k) {
+ int j = undetermined[k];
+ int w = get(i,j);
+ double ideal_repartition = 1./sum * double(total);
+ int xmin = 1;
+ int xmax = int(double(total) / double(w));
+ if (xmax < xmin) return 0.;
+ if ((size_t)j < x_ideal.size()) {
+ ideal_repartition = x_ideal[j];
+ }
+
+ vector<std::pair<double,int> > prio_candidate;
+ if (xmax == xmin) {
+ prio_candidate.push_back({0.,xmin});
+ } else {
+ for (int candidate = xmin; candidate < xmax+1; ++candidate) {
+ double dist = std::pow(ideal_repartition-candidate,2);
+ prio_candidate.push_back({dist,candidate});
+ }
+ }
+
+ // TODO: better priority, see 2 corner cases
+ std::sort(prio_candidate.begin(),prio_candidate.end());
+ vector<int> x2;
+ for (size_t l = 0; l < prio_candidate.size(); ++l) {
+ int candidate = prio_candidate[l].second;
+ x2 = x;
+ x2[j] = candidate;
+ double sub_score = get_positive_solution_DFS(x2, count, count_limit, x_ideal, ncalls);
+ if (sub_score > 0.) { /* Found a solution ! Return this one */
+ x = x2;
+ return sub_score;
+ }
+ }
+ }
+ }
+ }
+ if (best_score > 0.) {
+ x = best_x;
+ return best_score;
+ }
+ return 0.;
+ }
+
+
+ };
+
+
+
+ struct QuadMeshPattern {
+ size_t patternId;
+ id n = 0;
+ vector<id2> edges;
+ vector<id4> quads; /* contains edge id's, not vertex ! */
+ vector<id4> qvertices;
+ vector<bool> vOnBdr;
+ vector<id> eChordId;
+ vector<vector<id> > v2e;
+ vector<vector<id> > e2f;
+ vector<vector<id> > chords;
+ vector<vector<id> > sides;
+ id ncorners;
+
+ bool load(size_t pId, const std::vector<id4>& quadVertices) {
+ patternId = pId;
+ ncorners = 0;
+ edges.reserve(2*quadVertices.size());
+ quads.reserve(quadVertices.size());
+ unordered_map<id2,id,id2hash> vpair2e;
+ n = 0;
+ for (size_t f = 0; f < quadVertices.size(); ++f) {
+ id4 quad;
+ for (size_t le = 0; le < 4; ++le) {
+ id v1 = quadVertices[f][le];
+ id v2 = quadVertices[f][(le+1)%4];
+ n = std::max(n,v1+1);
+ id2 oedge = {v1,v2};
+ id2 vpair = sorted(v1,v2);
+ auto it = vpair2e.find(vpair);
+ id e = 0;
+ if (it == vpair2e.end()) {
+ e = edges.size();
+ edges.push_back(oedge);
+ vpair2e[vpair] = e;
+ } else {
+ e = it->second;
+ }
+ quad[le] = e;
+ }
+ quads.push_back(quad);
+ qvertices.push_back(quadVertices[f]);
+ }
+ v2e.resize(n);
+ for (size_t e = 0; e < edges.size(); ++e) {
+ v2e[edges[e][0]].push_back(e);
+ v2e[edges[e][1]].push_back(e);
+ }
+ e2f.resize(edges.size());
+ for (size_t f = 0; f < quads.size(); ++f) {
+ for (size_t le = 0; le < 4; ++le) {
+ e2f[quads[f][le]].push_back(f);
+ }
+ }
+ vOnBdr.resize(n,false);
+ for (size_t e = 0; e < e2f.size(); ++e) if (e2f[e].size() == 1) {
+ vOnBdr[edges[e][0]] = true;
+ vOnBdr[edges[e][1]] = true;
+ }
+
+ { /* Build chords of the quad mesh */
+ chords.clear();
+ eChordId.resize(edges.size(),NO_ID);
+ vector<id> chordEdges;
+ for (size_t e = 0; e < edges.size(); ++e) if (eChordId[e] == NO_ID) {
+ chordEdges.clear();
+ bool ok = build_quad_chord(quads, e2f, e, chordEdges);
+ if (!ok) return false;
+ for (id e: chordEdges) {
+ eChordId[e] = chords.size();
+ }
+ chords.push_back(chordEdges);
+ }
+ }
+
+ { /* Build the boundary sides (seperated by convex corners) */
+ sides.clear();
+ vector<id>* cur_side = NULL;
+ for (id v0 = 0; v0 < n; ++v0) if (vOnBdr[v0] && v2e[v0].size() == 2) {
+ id v = v0;
+ id e = NO_ID;
+ do {
+ if (v2e[v].size() == 2) { /* concave corner */
+ sides.resize(sides.size()+1);
+ cur_side = &sides.back();
+ ncorners += 1;
+ }
+ for (id ee: v2e[v]) if (ee != e && e2f[ee].size() == 1) {
+ if (edges[ee][0] == v) { /* assume edges are ordered on bdr */
+ e = ee; break;
+ }
+ }
+ if (e == NO_ID) {
+ Msg::Error("load, edge not found !");
+ return false;
+ }
+ cur_side->push_back(e);
+ id v2 = (edges[e][0] != v) ? edges[e][0] : edges[e][1];
+ v = v2;
+ } while (v != v0);
+ break;
+ }
+ if (cur_side == NULL) { /* No convex corner, should be disk disk */
+ sides.resize(sides.size()+1);
+ cur_side = &sides.back();
+ for (id v0 = 0; v0 < n; ++v0) if (vOnBdr[v0] && v2e[v0].size() == 3) {
+ id v = v0;
+ id e = NO_ID;
+ do {
+ for (id ee: v2e[v]) if (ee != e && e2f[ee].size() == 1) {
+ if (edges[ee][0] == v) { /* assume edges are ordered on bdr */
+ e = ee; break;
+ }
+ }
+ if (e == NO_ID) {
+ Msg::Error("load, edge not found !");
+ return false;
+ }
+ cur_side->push_back(e);
+ id v2 = (edges[e][0] != v) ? edges[e][0] : edges[e][1];
+ v = v2;
+ } while (v != v0);
+ break;
+ }
+ }
+ if (cur_side == NULL) return false;
+ }
+
+ return true;
+ }
+ };
+
+ double patternIrregularity(const QuadMeshPattern& M) {
+ double irreg = 0.;
+ for (size_t i = 0; i < M.n; ++i) if (!M.vOnBdr[i]) {
+ irreg += std::pow(double(M.v2e[i].size())-4.,2);
+ }
+ return irreg;
+ }
+
+ double checkPatternMatching(const QuadMeshPattern& P, const std::vector<size_t>& sideSizes, vector<int>& slt) {
+ slt.clear();
+ size_t N = sideSizes.size();
+ bool possible = true;
+ for (size_t s = 0; s < N; ++s) {
+ if (sideSizes[s] < P.sides[s].size() + 1) {
+ /* on given side, less edges in the cavity than edges in the pattern */
+ possible = false; break;
+ }
+ }
+ if (!possible) return 0.;
+
+ int nvars = 0;
+ for (id v: P.eChordId) nvars = std::max(nvars,(int)v+1);
+ IMatrix mat(N,nvars+1);
+ for (size_t s = 0; s < N; ++s) {
+ for (size_t j = 0; j < P.sides[s].size(); ++j) {
+ id e = P.sides[s][j];
+ id var = P.eChordId[e];
+ mat.set(s,var,mat.get(s,var)+1);
+ }
+ mat.set(s,nvars,-1. * (sideSizes[s]-1));
+ }
+ mat.tansform_to_row_reduced_echelon();
+
+ // TODO IDEA
+ // - give ideal_repartition to the get_positive_solution_DFS() fct ?
+ // to control a bit the quantization
+ // - other idea: use row echelon to compute null space [x_kernel, ...] and find
+ // solution x0 + lambda * x_kernel that maximize an objective
+ // function ?
+ vector<double> ideal_repartition;
+ if (P.patternId == PATTERN_2CORNERS) {
+ ideal_repartition.resize(P.chords.size(),0);
+ size_t navg = (sideSizes[0] + sideSizes[1] - 2)/2;
+ for (size_t j = 0; j < P.chords.size(); ++j) {
+ if (P.chords[j].size() == 3) {
+ ideal_repartition[j] = 0.95 * navg;
+ } else if (P.chords[j].size() == 4) {
+ ideal_repartition[j] = 0.05 * navg;
+ } else {
+ Msg::Error("setting ideal_repartition for PATTERN_2CORNERS, should not happen");
+ }
+ }
+ } else if (P.patternId == PATTERN_DISK) {
+ // TODO: detect circular chord and use a smaller ideal_repartition on it
+ }
+ double score = 0.;
+ slt.clear();
+ int count = 0;
+ int count_limit = 100; /* limit on the number of solution tried in the DFS */
+ int ncalls = 0;
+ score = mat.get_positive_solution_DFS(slt, count, count_limit, ideal_repartition, ncalls);
+
+ return score;
+ }
+
+
+ double checkPatternMatchingWithRotations(const QuadMeshPattern& P, const std::vector<size_t>& sideSizes, int& rotation) {
+ size_t N = sideSizes.size();
+ if (P.sides.size() != N) return 0.;
+
+ vector<size_t> ssr = sideSizes;
+ vector<int> slt;
+
+ double best = 0.;
+ int rot = 0;
+
+ /* Initial config */
+ {
+ double match = checkPatternMatching(P, ssr, slt);
+ if (match > best) {
+ best = match;
+ rotation = rot;
+ }
+ }
+
+ /* Forward rotation */
+ for (size_t r = 1; r < ssr.size(); ++r) {
+ rot += 1;
+ std::rotate(ssr.begin(),ssr.begin()+1,ssr.end());
+ double match = checkPatternMatching(P, ssr, slt);
+ if (match > best) {
+ best = match;
+ rotation = rot;
+ }
+ }
+
+ /* Try in reverse order */
+ rot = 0;
+ ssr = sideSizes;
+ std::reverse(ssr.begin(),ssr.end());
+ for (size_t r = 1; r < ssr.size(); ++r) {
+ rot -= 1;
+ std::rotate(ssr.begin(),ssr.begin()+1,ssr.end());
+ double match = checkPatternMatching(P, ssr, slt);
+ if (match > best) {
+ best = match;
+ rotation = rot;
+ }
+ }
+
+
+ return best;
+ }
+
+ std::vector<MVertex*> createVertices (GFace* gf, MVertex *v1, MVertex *v2, int n,
+ std::vector<MVertex*>& newVertices){
+ bool haveParam = gf->haveParametrization();
+ std::vector<MVertex*> r;
+ r.push_back(v1);
+ double uv1[2] = {0.,0.};
+ double uv2[2] = {0.,0.};
+ if (haveParam) {
+ setVertexGFaceUV(gf, v1, uv1);
+ setVertexGFaceUV(gf, v2, uv2);
+ }
+ for (int i=1;i<n;i++){
+ double xi = (double)i/n;
+ SPoint3 p ((1.-xi)*v1->x()+xi*v2->x(),(1.-xi)*v1->y()+xi*v2->y(),(1.-xi)*v1->z()+xi*v2->z());
+ double uv[2] = {0.,0.};
+ if (haveParam) {
+ uv[0] = (1.-xi)*uv1[0]+xi*uv2[0];
+ uv[1] = (1.-xi)*uv1[1]+xi*uv2[1];
+ }
+ MVertex *vNew = new MFaceVertex(p.x(),p.y(),p.z(),gf,uv[0],uv[1]);
+ newVertices.push_back(vNew);
+ r.push_back(vNew);
+ }
+ r.push_back(v2);
+ return r;
+ }
+
+ std::vector<MVertex*> reverseVector (const std::vector<MVertex*> &v){
+ std::vector<MVertex*> r;
+ for (size_t i=0;i<v.size();i++)r.push_back(v[v.size() - 1 - i]);
+ return r;
+ }
+
+ void createQuadPatch (GFace* gf,
+ const std::vector<MVertex*> &s1,
+ const std::vector<MVertex*> &s2,
+ const std::vector<MVertex*> &s3,
+ const std::vector<MVertex*> &s4,
+ std::vector<MElement*>& newQuads,
+ std::vector<MVertex*>& newVertices){
+
+ bool haveParam = gf->haveParametrization();
+
+ std::vector<MVertex*> s3r = reverseVector(s3);
+ std::vector<MVertex*> s4r = reverseVector(s4);
+ std::vector< std::vector<MVertex*> > grid(s1.size());
+ for (size_t i = 0; i < grid.size(); ++i) grid[i].resize(s2.size(),NULL);
+ grid.front() = s4r;
+ grid.back() = s2;
+
+ /* Fill the interior with transfinite interpolation */
+ if (s1.size() > 2) {
+ SVector3 c00 = s1[0]->point();
+ SVector3 c10 = s2[0]->point();
+ SVector3 c11 = s3[0]->point();
+ SVector3 c01 = s4[0]->point();
+ for (size_t i=1; i < s1.size()-1; i++){
+ grid[i][0] = s1[i];
+ grid[i].back() = s3r[i];
+
+ if (s2.size() <= 2) continue;
+
+ double u = double(i) / double(s1.size()-1.);
+ SVector3 s1u = s1[i]->point();
+ SVector3 s3u = s3r[i]->point();
+
+ for (size_t j=1; j < s2.size()-1; j++){
+ double v = double(j) / double(s2.size()-1.);
+ SVector3 s2v = s2[j]->point();
+ SVector3 s4v = s4r[j]->point();
+
+ SVector3 p = (1.-v) * s1u + v * s3u + (1.-u) * s4v + u * s2v
+ - ((1.-u)*(1.-v)*c00 + u*v*c11 + u * (1.-v) * c10 + (1.-u)*v*c01);
+ double uv[2] = {0.,0.};
+ MVertex *vNew = new MFaceVertex(p.x(),p.y(),p.z(),gf,uv[0],uv[1]);
+ newVertices.push_back(vNew);
+ grid[i][j] = vNew;
+ }
+ }
+ }
+
+ for (size_t i=0;i<grid.size()-1;i++){
+ for (size_t j=0;j<grid[i].size()-1;j++){
+ MQuadrangle *q = new MQuadrangle (grid[i][j],grid[i+1][j],grid[i+1][j+1],grid[i][j+1]);
+ newQuads.push_back(q);
+ }
+ }
+ }
+
+
+ bool addQuadsAccordingToPattern(
+ const QuadMeshPattern& P,
+ const std::vector<int>& quantization,
+ GFace* gf,
+ const std::vector<std::vector<MVertex*> >& sides, /* vertices on the boundary, not changed */
+ std::vector<MVertex*>& newVertices, /* new vertices inside the cavity */
+ std::vector<MElement*>& newElements, /* new quads inside the cavity */
+ MVertex* oldCenter = NULL /* initial guess for new positions */
+ ) {
+ constexpr bool DBG_VIZU = false;
+ if (P.sides.size() != sides.size()) {
+ Msg::Error("wrong input sizes ... pattern: %li sides, input: %li sides", P.sides.size(),sides.size());
+ return false;
+ }
+
+ unordered_map<id2, std::vector<MVertex*>,id2hash> vpair2vertices;
+ std::vector<MVertex*> v2mv(P.n,NULL);
+ std::vector<MVertex*> vert;
+
+ /* Associate exising vertices to pattern sides */
+ SVector3 center(0.,0.,0.);
+ if (oldCenter) {
+ center = oldCenter->point();
+ } else {
+ double csum = 0.;
+ for (size_t s = 0; s < sides.size(); ++s) {
+ for (size_t k = 0; k < sides[s].size(); ++k) {
+ center += sides[s][k]->point();
+ csum += 1.;
+ }
+ }
+ if (csum == 0.) return false;
+ center = 1./csum * center;
+ }
+
+ for (size_t s = 0; s < P.sides.size(); ++s) {
+ size_t pos = 0;
+ size_t sp = 0;
+ for (size_t j = 0; j < P.sides[s].size(); ++j) {
+ sp += quantization[P.eChordId[P.sides[s][j]]];
+ }
+ if (sp + 1 != sides[s].size()) {
+ return false;
+ }
+ for (size_t j = 0; j < P.sides[s].size(); ++j) {
+ id e = P.sides[s][j];
+ int n_e = quantization[P.eChordId[e]];
+ vert.resize(n_e+1);
+ for (size_t k = 0; k < (size_t) n_e+1; ++k) {
+ if (pos+k>=sides[s].size()) {
+ Msg::Error("issue, pos=%li + k=%li = %li >= sides[s].size()=%li", pos, k, pos+k, sides[s].size());
+ return false;
+ }
+ vert[k] = sides[s][pos+k];
+ }
+ pos += n_e;
+ id v1 = P.edges[e][0];
+ id v2 = P.edges[e][1];
+ if (v2mv[v1] == NULL) v2mv[v1] = vert.front();
+ if (v2mv[v2] == NULL) v2mv[v2] = vert.back();
+
+ id2 vpair = sorted(v1,v2);
+ if (v1 < v2) {
+ vpair2vertices[vpair] = vert;
+ } else {
+ std::reverse(vert.begin(),vert.end());
+ vpair2vertices[vpair] = vert;
+ }
+ }
+ }
+
+ /* Create vertices on internal points */
+ for (size_t v = 0; v < P.n; ++v) if (!P.vOnBdr[v]) {
+ GPoint pp;
+ if (oldCenter) {
+ double uv[2];
+ oldCenter->getParameter(0,uv[0]);
+ oldCenter->getParameter(1,uv[1]);
+ pp = GPoint(center.x(),center.y(),center.z(),gf,uv[0],uv[1]);
+ } else {
+ pp = GPoint(center.x(),center.y(),center.z(),gf,0,0);
+ }
+
+ bool moveTowardBdr = true;
+ if (moveTowardBdr) {
+ double vsum = 10.; /* weight on center */
+ SVector3 avg(vsum*pp.x(),vsum*pp.y(),vsum*pp.z());
+ for (size_t e: P.v2e[v]) {
+ size_t v2 = (P.edges[e][0] != v) ? P.edges[e][0] : P.edges[e][1];
+ if (P.vOnBdr[v2]) {
+ SVector3 p2 = v2mv[v2]->point();
+ avg += p2;
+ vsum += 1;
+ }
+ }
+ if (vsum > 1) {
+ pp.x() = avg.x() / vsum;
+ pp.y() = avg.y() / vsum;
+ pp.z() = avg.z() / vsum;
+ }
+ }
+
+ double uv[2] = {0.,0.};
+ MVertex *sing = new MFaceVertex(pp.x(),pp.y(),pp.z(),gf,pp.u(),pp.v());
+ GPoint proj = gf->closestPoint(sing->point(),uv);
+ if (proj.succeeded()) {
+ sing->x() = proj.x();
+ sing->y() = proj.y();
+ sing->z() = proj.z();
+ sing->setParameter(0,proj.u());
+ sing->setParameter(1,proj.v());
+ }
+
+ newVertices.push_back(sing);
+ bool irregular = (P.v2e[v].size() != 4);
+ v2mv[v] = sing;
+ }
+
+ /* Create vertices on internal curves */
+ for (size_t e = 0; e < P.edges.size(); ++e) if (P.e2f[e].size() == 2) {
+ id v1 = P.edges[e][0];
+ id v2 = P.edges[e][1];
+ MVertex* mv1 = v2mv[v1];
+ MVertex* mv2 = v2mv[v2];
+ if (mv1 == NULL || mv2 == NULL) {
+ Msg::Error("MVertex* not found ?");
+ return false;
+ }
+ int n_e = quantization[P.eChordId[e]];
+ id2 vpair = sorted(v1,v2);
+ if (v1 < v2) {
+ vpair2vertices[vpair] = createVertices (gf, mv1, mv2, n_e, newVertices);
+ } else {
+ vpair2vertices[vpair] = createVertices (gf, mv2, mv1, n_e, newVertices);
+ }
+ }
+
+ /* Create vertices inside the quad patches */
+ for (size_t f = 0; f < P.quads.size(); ++f) {
+ std::vector<std::vector<MVertex*> > quadCurves(4);
+ for (size_t le = 0; le < 4; ++le) {
+ id v0 = P.qvertices[f][le];
+ id v1 = P.qvertices[f][(le+1)%4];
+ id2 vpair = sorted(v0,v1);
+ auto it = vpair2vertices.find(vpair);
+ if (it == vpair2vertices.end()) {
+ Msg::Error("MVertex* vector not found for vertex pair (edge in pattern)");
+ return false;
+ }
+ quadCurves[le] = it->second;
+ if (v1 < v0) {
+ std::reverse(quadCurves[le].begin(),quadCurves[le].end());
+ }
+ }
+ createQuadPatch(gf, quadCurves[0], quadCurves[1], quadCurves[2], quadCurves[3], newElements, newVertices);
+ }
+
+ return true;
+ }
+
+ void clearStuff(std::vector<MVertex*>& newVertices,
+ std::vector<MElement*>& newElements) {
+ for (MVertex*& v: newVertices) if (v != NULL) {
+ delete v;
+ v = NULL;
+ }
+ newVertices.clear();
+ for (MElement*& e: newElements) if (e != NULL) {
+ delete e;
+ e = NULL;
+ }
+ newElements.clear();
+ }
+
+ template<class T>
+ void remove_element_if_inside(const T& value, std::vector<T>& vec) {
+ auto it = std::find(vec.begin(),vec.end(),value);
+ if (it != vec.end()) {
+ vec.erase(it);
+ }
+ }
+
+ struct QuadqsContext {
+ bool optimizeTopology = true;
+ bool optimizeGeometry = true;
+ unordered_map<std::string,double> stats;
+ double timeoutQuadqsPerGFace = DBL_MAX;
+ double timeoutQuadqsPerGFaceCavity = DBL_MAX;
+ double timeoutGeomOptimPerGFace = DBL_MAX;
+ };
+
+ struct QuadqsGFaceContext {
+ /* Options (all timings in seconds) */
+ double timeoutQuadqsPerGFace = DBL_MAX;
+ double timeoutQuadqsPerGFaceCavity = DBL_MAX;
+ double timeoutGeomOptimPerGFace = DBL_MAX;
+ bool invertNormalsForQuality = false;
+ size_t nTryMaxPerVertex = 2;
+ size_t nTryCloseReset = 5;
+ SurfaceProjector* sp = nullptr;
+ /* Stats on execution */
+ double t0 = 0.;
+ size_t nSingCavityRemesh = 0;
+ size_t nQuadCavityRemesh = 0;
+ bool finished = false;
+
+ /* Functions */
+ QuadqsGFaceContext(const QuadqsContext& qqs) {
+ timeoutQuadqsPerGFace = qqs.timeoutQuadqsPerGFace;
+ timeoutQuadqsPerGFaceCavity = qqs.timeoutQuadqsPerGFaceCavity;
+ timeoutGeomOptimPerGFace = qqs.timeoutGeomOptimPerGFace;
+ t0 = Cpu();
+ }
+
+ double elapsedCpuTime() const {
+ return Cpu() - t0;
+ }
+ };
+
+ enum GrowthPolicy {
+ GROW_MINIMAL,
+ GROW_MAXIMAL,
+ };
+
+ const uint32_t NO_U32 = (uint32_t) -1;
+
+ struct RemeshableCavity {
+ std::vector<MElement*> elements;
+ std::vector<std::vector<MVertex*> > sides;
+ std::vector<MVertex*> intVertices;
+ double irregularityMeasure = 0;
+ uint32_t nIrregular = 0; // # irregular vertices outside allowed ones
+ std::pair<size_t,int> patternNoAndRot = {(size_t)-1,0};
+ };
+
+ struct GrowingCavity {
+ std::vector<bool> quadIsInside; /* fixed size: farmer.quads.size() */
+ std::vector<uint32_t> quadEdgeIsBdr; /* fixed size: 4*farmer.quads.size() */
+ unordered_set<uint32_t> verticesInt; /* growing with cavity */
+ unordered_set<uint32_t> verticesBdr; /* growing with cavity */
+ unordered_set<uint32_t> elements; /* growing with cavity */
+ /* nb of irregular vertices strictly inside cavity (include singularities) */
+ uint32_t nIrregInterior = 0;
+
+ void clear() {
+ quadIsInside.clear();
+ quadEdgeIsBdr.clear();
+ verticesInt.clear();
+ verticesBdr.clear();
+ elements.clear();
+ nIrregInterior = 0;
+ }
+ };
+
+ struct CavityFarmer { /* the guy who grows cavities */
+ public:
+ GFace* gf = nullptr;
+
+ /* contiguous representation of the GFace quad mesh */
+ std::vector<MVertex*> vertices;
+ unordered_map<MVertex*,uint32_t> vertexLocal;
+ std::vector<MQuadrangle*> quadrangles;
+ unordered_map<MQuadrangle*,uint32_t> quadLocal;
+ std::vector<std::array<uint32_t,4> > quads;
+
+ /* quad adjacency information */
+ std::vector<uint32_t> adjacent; /* adjacent[4*q1+le1] = 4*q2+le2 */
+ std::vector<uint32_t> v2q_first; /* vertex to quads */
+ std::vector<uint32_t> v2q_values; /* vertex to quads */
+
+ GrowingCavity cav; /* current cavity */
+ GrowingCavity cavBackup; /* potential extension */
+
+ /* growth constraints */
+ std::vector<bool> vertexForbidden;
+ std::vector<bool> quadEdgeForbidden;
+
+ public:
+ CavityFarmer(GFace* gf_):gf(gf_) {};
+
+ void clear() {
+ vertices.clear();
+ vertexLocal.clear();
+ quadrangles.clear();
+ quadLocal.clear();
+ quads.clear();
+ adjacent.clear();
+ v2q_first.clear();
+ v2q_values.clear();
+ vertexForbidden.clear();
+ quadEdgeForbidden.clear();
+ cav.clear();
+ cavBackup.clear();
+ }
+
+ void debug_show_cavity(const std::string& name, bool light = true) {
+ std::vector<MElement*> elts;
+ for (uint32_t f: cav.elements) {
+ elts.push_back(quadrangles[f]);
+ }
+ if (light) {
+ GeoLog::add(elts,name);
+ return;
+ }
+ GeoLog::add(elts,name+"_cav.elements");
+ std::vector<array<double,3> > interior;
+ std::vector<array<double,3> > bdr;
+ for (uint32_t v: cav.verticesInt) {
+ interior.push_back(vertices[v]->point());
+ }
+ for (uint32_t v: cav.verticesBdr) {
+ bdr.push_back(vertices[v]->point());
+ }
+ GeoLog::add(interior,0.,name+"_cav.verticesInt");
+ GeoLog::add(bdr,1.,name+"_cav.verticesBdr");
+
+ std::vector<MElement*> elts2;
+ for (size_t f = 0; f < quadrangles.size(); ++f) if (cav.quadIsInside[f]) {
+ elts2.push_back(quadrangles[f]);
+ }
+ GeoLog::add(elts2,name+"_cav.quadIsInside");
+ for (size_t f = 0; f < quadrangles.size(); ++f) {
+ for (size_t le = 0; le < 4; ++le) {
+ if (cav.quadEdgeIsBdr[4*f+le]) {
+ uint32_t v1 = quads[f][le];
+ uint32_t v2 = quads[f][(le+1)%4];
+ std::vector<array<double,3> > bdrEdges = {vertices[v1]->point(), vertices[v2]->point()};
+ GeoLog::add(bdrEdges,0.,name+"_cav.quadEdgeIsBdr");
+ }
+ }
+ }
+ GeoLog::flush();
+ }
+
+ bool updateFarmer(GFace* gf) {
+ /* assume coherent orientation of quads in GFace */
+ clear();
+ std::vector<uint32_t> valence;
+ vertices.reserve(2*gf->mesh_vertices.size());
+ valence.reserve(2*gf->mesh_vertices.size());
+ quads.reserve(gf->quadrangles.size());
+ quadrangles = gf->quadrangles;
+ for (size_t f = 0; f < quadrangles.size(); ++f) {
+ MQuadrangle* q = quadrangles[f];
+ quadLocal[q] = f;
+ array<uint32_t,4> quad;
+ for (size_t lv = 0; lv < 4; ++lv) {
+ MVertex* v = q->getVertex(lv);
+ auto it = vertexLocal.find(v);
+ if (it != vertexLocal.end()) {
+ uint32_t nv = it->second;
+ quad[lv] = nv;
+ valence[nv] += 1;
+ } else {
+ uint32_t nv = vertices.size();
+ vertices.push_back(v);
+ valence.push_back(1);
+ vertexLocal[v] = nv;
+ quad[lv] = nv;
+ }
+ }
+ quads.push_back(quad);
+ }
+
+ /* Build the vertex to quads adjacencies */
+ v2q_first.resize(vertices.size()+1,0);
+ for (uint32_t v = 0; v < vertices.size(); ++v) {
+ v2q_first[v+1] = v2q_first[v] + valence[v];
+ }
+ v2q_values.resize(v2q_first.back(), NO_U32);
+ for (uint32_t f = 0; f < quads.size(); ++f) {
+ for (uint32_t lv = 0; lv < 4; ++lv) {
+ const uint32_t v = quads[f][lv];
+ const uint32_t begin = v2q_first[v];
+ const uint32_t end = v2q_first[v+1];
+ bool foundSlot = false;
+ for (uint32_t pos = begin; pos < end; ++pos) {
+ if (v2q_values[pos] == NO_U32) {
+ v2q_values[pos] = f;
+ foundSlot = true;
+ break;
+ }
+ }
+ if (!foundSlot) {
+ Msg::Error("cavity farmer: no slot found !");
+ return false;
+ }
+ }
+ }
+
+ /* Build the quad to quads adjacencies */
+ adjacent.resize(4*quads.size(),NO_U32);
+ for (uint32_t f = 0; f < quads.size(); ++f) {
+ for (uint32_t le = 0; le < 4; ++le) {
+ if (adjacent[4*f+le] != NO_U32) continue;
+ const uint32_t v1 = quads[f][le];
+ const uint32_t v2 = quads[f][(le+1)%4];
+ const uint32_t begin = v2q_first[v1];
+ const uint32_t end = v2q_first[v1+1];
+ for (uint32_t pos = begin; pos < end; ++pos) {
+ const uint32_t f2 = v2q_values[pos];
+ for (uint32_t le2 = 0; le2 < 4; ++le2) {
+ const uint32_t av1 = quads[f2][le2];
+ const uint32_t av2 = quads[f2][(le2+1)%4];
+ if (av1 == v2 && av2 == v1) {
+ adjacent[4*f+le] = 4*f2+le2;
+ adjacent[4*f2+le2] = 4*f+le;
+ break;
+ }
+ }
+ if (adjacent[4*f+le] != NO_U32) break;
+ }
+ }
+ }
+
+ /* Embedded edges in faces */
+ for (GEdge* ge: gf->embeddedEdges()) {
+ unordered_set<id2,id2hash> embLines;
+ for (MLine* line: ge->lines) {
+ MVertex* v1 = line->getVertex(0);
+ MVertex* v2 = line->getVertex(1);
+ auto it1 = vertexLocal.find(v1);
+ auto it2 = vertexLocal.find(v2);
+ if (it1 == vertexLocal.end() || it2 == vertexLocal.end()) {
+ Msg::Debug("cavity farmer update: vertex of embedded line not found, weird");
+ continue;
+ }
+ id2 vpair = sorted(it1->second,it2->second);
+ embLines.insert(vpair);
+ }
+ if (embLines.size() == 0) continue;
+ if (quadEdgeForbidden.size() == 0) {
+ quadEdgeForbidden.resize(4*quads.size(),false);
+ for (uint32_t f = 0; f < quads.size(); ++f) {
+ for (uint32_t le = 0; le < 4; ++le) {
+ const uint32_t v1 = quads[f][le];
+ const uint32_t v2 = quads[f][(le+1)%4];
+ id2 vpair = sorted(v1,v2);
+ auto it = embLines.find(vpair);
+ if (it != embLines.end()) {
+ quadEdgeForbidden[4*f+le] = true;
+ }
+ }
+ }
+ }
+ }
+
+ return true;
+ }
+
+ bool vertexValence(uint32_t v, uint32_t& valIn, uint32_t& valOut, uint32_t* qOut = nullptr) {
+ valIn = 0;
+ valOut = 0;
+ if (v >= v2q_first.size()) {
+ Msg::Error("vertexValence: incoherent state");
+ return false;
+ }
+ const uint32_t begin = v2q_first[v];
+ const uint32_t end = v2q_first[v+1];
+ for (uint32_t pos = begin; pos < end; ++pos) {
+ const uint32_t f = v2q_values[pos];
+ if (f == NO_U32) continue;
+ if (cav.quadIsInside[f]) {
+ valIn += 1;
+ } else {
+ valOut += 1;
+ if (qOut != nullptr) {
+ *qOut = f;
+ }
+ }
+ }
+ return true;
+ }
+
+ /* slow, do not call often */
+ bool vertexAdjacentQuads(MVertex* vp, std::vector<MQuadrangle*>& adjQuads) {
+ auto it = vertexLocal.find(vp);
+ if (it == vertexLocal.end()) {
+ return false;
+ }
+ const uint32_t v = it->second;
+ const uint32_t begin = v2q_first[v];
+ const uint32_t end = v2q_first[v+1];
+ const uint32_t n = end-begin;
+ adjQuads.resize(n);
+ for (uint32_t i = 0; i < n; ++i) {
+ const uint32_t f = v2q_values[begin+i];
+ adjQuads[i] = quadrangles[f];
+ }
+ return adjQuads.size() > 0;
+ }
+
+ /* warning: when false is returned, the current cavity
+ * is no longer valid and it should be discarded
+ * or repaired by a external backup */
+ bool addQuads(const std::vector<uint32_t>& toAdd, bool checkForbidden = true) {
+ vector<uint32_t> touched;
+ touched.reserve(4*toAdd.size());
+ for (uint32_t f: toAdd) {
+ if (cav.quadIsInside[f] == false) {
+ cav.quadIsInside[f] = true;
+ cav.elements.insert(f);
+ } else {
+ Msg::Error("cavity farmer: quad already in cavity, should not happen");
+ return false;
+ }
+ for (size_t le = 0; le < 4; ++le) {
+ touched.push_back(quads[f][le]);
+ uint32_t opp = adjacent[4*f+le];
+ if (cav.quadEdgeIsBdr[4*f+le]) {
+ Msg::Error("cavity farmer: quad edge already cavity bdr, should not happen");
+ return false;
+ } else if (opp != NO_U32 && cav.quadEdgeIsBdr[opp]) {
+ /* adjacent quad was in cavity and boundary */
+
+ if (checkForbidden && quadEdgeForbidden.size() > 0) {
+ /* check if adding the quad would include a forbidden quad edge */
+ if (quadEdgeForbidden[4*f+le]) return false;
+ }
+
+ /* adjacent quad was in cavity and boundary => no longer boundary */
+ cav.quadEdgeIsBdr[opp] = false;
+ } else {
+ /* adjacent quad edge was not cavity bdr, this one becomes one */
+ cav.quadEdgeIsBdr[4*f+le] = true;
+ }
+ }
+ }
+ sort_unique(touched);
+
+ for (uint32_t v: touched) {
+ uint32_t valIn, valOut;
+ vertexValence(v, valIn, valOut);
+ if (valOut > 0) {
+ cav.verticesBdr.insert(v);
+ } else if (valOut == 0 && valIn > 0) {
+ MVertex* pv = vertices[v];
+ GFace* pgf = pv->onWhat()->cast2Face();
+ if (pgf != nullptr) { /* vertex inside GFace */
+ auto it = cav.verticesInt.find(v);
+ if (it == cav.verticesInt.end()) { /* New interior */
+ if (checkForbidden && vertexForbidden[v]) {
+ return false;
+ }
+ cav.verticesInt.insert(v);
+
+ if (valIn != 4) {
+ cav.nIrregInterior += 1;
+ }
+
+ /* remove from boundary*/
+ auto itb = cav.verticesBdr.find(v);
+ if (itb != cav.verticesBdr.end()) {
+ cav.verticesBdr.erase(itb);
+ }
+ }
+ } else { /* vertex on GFace boundary */
+ cav.verticesBdr.insert(v);
+ }
+ } else {
+ Msg::Error("cavity farmer: incoherent vertex state in addQuads");
+ return false;
+ }
+ }
+
+ return true;
+ }
+
+
+ double cavityIrregularity(uint32_t& nIrregular, uint32_t& nConvexCorners) {
+ nIrregular = 0;
+ nConvexCorners = 0;
+ double ir = 0.;
+ for (uint32_t v: cav.verticesInt) {
+ uint32_t valIn, valOut;
+ vertexValence(v, valIn, valOut);
+ if (valOut) {
+ Msg::Error("weird: cavity interior vertex has valence-out=%i",valOut);
+ }
+ if (valIn != 4) {
+ ir += std::pow(valIn-4.,2);
+ nIrregular += 1;
+ }
+ }
+ for (uint32_t v: cav.verticesBdr) {
+ uint32_t valIn, valOut;
+ vertexValence(v, valIn, valOut);
+ if (valIn == 1) {
+ nConvexCorners += 1;
+ } else if (valIn > 2) {
+ /* inside-valence 3+ on cavity boundary will be eliminated
+ * inside-valence 1 is a cavity corner, does not count as irregular here*/
+ nIrregular += 1;
+ ir += std::pow(valIn-2.,2);
+ }
+ }
+ return ir;
+ }
+
+ bool isValidConvexCavity() {
+ for (uint32_t v: cav.verticesBdr) {
+ uint32_t valIn, valOut;
+ vertexValence(v, valIn, valOut);
+ if (valOut == 1) {
+ MVertex* vp = vertices[v];
+ GFace* gf = vp->onWhat()->cast2Face();
+ if (gf != nullptr) {
+ /* Concave cavity corner, inside the surface mesh */
+ return false;
+ }
+ } else if (valOut >= 3) {
+ MVertex* vp = vertices[v];
+ GVertex* gv = vp->onWhat()->cast2Vertex();
+ if (gv != nullptr) {
+ /* CAD corner, valence is superior or equal to three, should not be absorbed in cavity */
+ return false;
+ }
+ } else if (valIn == 3 && valOut == 2 && vertexForbidden[v]) {
+ /* Would change a valence 5 singularity into a regular vertex */
+ return false;
+ }
+ }
+
+ return true;
+ }
+
+ bool convexify(bool checkForbidden = true) {
+ bool running = true;
+ while (running) {
+ running = false;
+ std::vector<uint32_t> quadsAtConcavities;
+ for (uint32_t v: cav.verticesBdr) {
+ uint32_t valIn, valOut;
+ uint32_t qOut = NO_U32;
+ vertexValence(v, valIn, valOut, &qOut);
+ /* Add exterior quad if cavity bdr vertex out-valence is one
+ * and cavity bdr vertex is inside the GFace */
+ if (valOut == 1) {
+ GFace* pgf = vertices[v]->onWhat()->cast2Face();
+ if (pgf == nullptr) continue;
+ quadsAtConcavities.push_back(qOut);
+ }
+ }
+ if (quadsAtConcavities.size() > 0) {
+ sort_unique(quadsAtConcavities);
+ bool oka = addQuads(quadsAtConcavities, checkForbidden);
+ if (!oka) return false;
+ running = true;
+ }
+ }
+ return isValidConvexCavity();
+ }
+
+ bool getCavitySides(uint32_t& Ncorners,
+ std::vector<std::vector<uint32_t> >& sides) {
+
+ /* Prepare the cavity boundary edges to make
+ * a continuous loop on them */
+ vector<uint32_t> pos2vertex;
+ vector<uint32_t> vertex2pos(vertices.size(),NO_U32); /* allocation outside ? */
+ vector<uint32_t> pos2nextVertex;
+ vector<bool> isCorner;
+ pos2vertex.reserve(cav.verticesBdr.size());
+ pos2vertex.reserve(cav.verticesBdr.size());
+ isCorner.reserve(cav.verticesBdr.size());
+ uint32_t v0 = NO_U32;
+
+ for (uint32_t v: cav.verticesBdr) {
+ uint32_t n = v2q_first[v+1]-v2q_first[v];
+ int edgeFound = 0;
+ for (uint32_t lq = 0; lq < n; ++lq) {
+ uint32_t q = v2q_values[v2q_first[v]+lq];
+ if (!cav.quadIsInside[q]) continue;
+ for (uint32_t le = 0; le < 4; ++le) {
+ if (quads[q][le] == v && cav.quadEdgeIsBdr[4*q+le]) {
+ edgeFound += 1;
+ if (edgeFound == 1) { /* edgeFound >= 2 means non manifold */
+ uint32_t v2 = quads[q][(le+1)%4];
+ if (vertex2pos[v] != NO_U32) {
+ Msg::Debug("cavity farmer: get sides, vertex already assigned, not manifold bdr loop");
+ return false;
+ }
+ vertex2pos[v] = pos2vertex.size();
+ pos2vertex.push_back(v);
+ pos2nextVertex.push_back(v2);
+ uint32_t valIn, valOut;
+ vertexValence(v, valIn, valOut);
+ if (valIn == 1) {
+ isCorner.push_back(true);
+ Ncorners += 1;
+ if (v0 == NO_U32) {
+ v0 = v;
+ } else {
+ /* deterministic choice of the start */
+ size_t num0 = vertices[v0]->getNum();
+ size_t num = vertices[v]->getNum();
+ if (num < num0) {
+ v0 = v;
+ }
+ }
+ } else {
+ isCorner.push_back(false);
+ }
+ }
+ }
+ }
+ }
+ if (edgeFound == 0) {
+ Msg::Error("cavity sides: cavity bdr edge not found around vertex %i, shoud NOT happen", v);
+ return false;
+ } else if (edgeFound >= 2) {
+ Msg::Debug("cavity sides: found %i cavity bdr edge, bdr loop is not manifold", edgeFound);
+ return false;
+ }
+ }
+ if (pos2vertex.size() == 0) {
+ return false;
+ }
+
+ if (v0 == NO_U32) {
+ /* No corner, the cavity is a disk */
+ v0 = pos2vertex[0];
+ sides.resize(1);
+ sides[0].push_back(v0);
+ }
+
+ /* Propagation along the boundary */
+ uint32_t nCornerVisited = 0;
+ uint32_t nVertexVisited = 0;
+ uint32_t v = v0;
+ uint32_t iter = 0;
+ while (true) {
+ iter += 1;
+ if (iter > 2 * cav.verticesBdr.size()) {
+ Msg::Warning("cavity farmer, get sides: infinite loop ? iter = %i but #bdr=%li, may happen if loop not manifold",
+ iter, cav.verticesBdr.size());
+ return false;
+ // debug_show_cavity("infinite_loop",false);
+ // gmsh::initialize();
+ // GeoLog::flush();
+ // gmsh::fltk::run();
+ // abort();
+ }
+
+ uint32_t pos = vertex2pos[v];
+ if (isCorner[pos]) {
+ nCornerVisited += 1;
+ sides.resize(sides.size()+1);
+ sides.back().push_back(v);
+ }
+
+ uint32_t v2 = pos2nextVertex[pos];
+ sides.back().push_back(v2);
+ v = v2;
+ nVertexVisited += 1;
+
+ if (v2 == v0) { /* closed the loop */
+ break;
+ }
+ }
+
+ if (nCornerVisited != Ncorners || nVertexVisited != cav.verticesBdr.size()) {
+ Msg::Debug("getCavitySides: not all cavity bdr corners/vertices were visited, bdr has multiple loops (i.e. not a topo. disk)");
+
+ // debug_show_cavity("bad_cav_" + std::to_string(nVertexVisited) + "!=" + std::to_string(cav.verticesBdr.size()));
+ // GeoLog::flush();
+
+ return false;
+ }
+
+ return true;
+ }
+
+ bool growCavityStep() {
+ std::vector<std::vector<uint32_t> > sides;
+ uint32_t Ncorners = 0;
+ bool oks = getCavitySides(Ncorners, sides);
+ if (!oks) {
+ if (DBG_VERBOSE) {Msg::Debug("cavity farmer: grow one side, failed to build cavity boundary");}
+ return false;
+ }
+
+ // For isotropic growth, we choose try the largest sides first,
+ // and we add the getNum of the first vertex for reproductibility. */
+ vector<std::pair<size_t,size_t> > sizeAndSide(sides.size());
+ for (size_t i = 0; i < sides.size(); ++i) {
+ size_t num = vertices[sides[i].front()]->getNum();
+ sizeAndSide[i] = {size_t(1e7*sides[i].size()+num),i};
+ }
+ std::sort(sizeAndSide.begin(),sizeAndSide.end());
+ std::reverse(sizeAndSide.begin(),sizeAndSide.end());
+
+ cavBackup = cav; /* to be able to restore if candidate is not good */
+
+ for (size_t k = 0; k < sizeAndSide.size(); ++k) {
+ size_t i = sizeAndSide[k].second;
+ if (sides[i].size() < 2) continue;
+ bool candidate = true;
+ /* Look at side interior vertices */
+ for (size_t j = 1; j < sides[i].size()-1; ++j) {
+ uint32_t v = sides[i][j];
+ /* Check if side is touching a growth limit */
+ if (vertexForbidden[v]) {
+ candidate = false;
+ break;
+ }
+ /* Check if touching a CAD corner */
+ MVertex* pv = vertices[v];
+ GVertex* gv = dynamic_cast<GVertex*>(pv->onWhat());
+ if (gv != nullptr) { /* side touching CAD corner */
+ candidate = false;
+ break;
+ }
+ }
+
+ if (candidate) {
+ /* Build the new convex cavity by expanding on the side
+ * and check if it is a valid */
+
+ /* Add the new quads */
+ size_t nAdded = 0;
+ std::vector<uint32_t> cQuads;
+ cQuads.reserve(4*sides[i].size());
+ if (sides[i].size() == 2) { /* Side is one edge */
+ uint32_t v1 = sides[i][0];
+ uint32_t v2 = sides[i][1];
+ const uint32_t begin = v2q_first[v1];
+ const uint32_t end = v2q_first[v1+1];
+ for (uint32_t pos = begin; pos < end; ++pos) {
+ const uint32_t f = v2q_values[pos];
+ if (!cav.quadIsInside[f]) {
+ for (size_t le = 0; le < 4; ++le) {
+ uint32_t qv1 = quads[f][le];
+ uint32_t qv2 = quads[f][(le+1)%4];
+ if ((qv1 == v1 && qv2 == v2) || (qv1 == v2 && qv2 == v1)) {
+ cQuads.push_back(f);
+ break;
+ }
+ }
+ }
+ if (cQuads.size() > 0) break;
+ }
+ } else { /* Take quads adjacent to interior side vertices */
+ for (size_t j = 1; j < sides[i].size()-1; ++j) {
+ uint32_t v = sides[i][j];
+
+ const uint32_t begin = v2q_first[v];
+ const uint32_t end = v2q_first[v+1];
+ for (uint32_t pos = begin; pos < end; ++pos) {
+ const uint32_t f = v2q_values[pos];
+ if (!cav.quadIsInside[f]) {
+ cQuads.push_back(f);
+ }
+ }
+ }
+ }
+ if (cQuads.size() == 0) continue;
+ sort_unique(cQuads);
+ bool oka = addQuads(cQuads);
+ if (!oka) { /* try next side */
+ if (DBG_VERBOSE) {
+ Msg::Debug("cavity grow one side: %li quads, side %i, FAILED to add %li quads",
+ cav.elements.size(), k, cQuads.size());}
+ cav = cavBackup;
+ continue;
+ }
+
+ /* Convexify the cavity */
+ bool okc = convexify();
+ if (!okc) { /* try next side */
+ if (DBG_VERBOSE) {
+ Msg::Debug("cavity grow one side: %li quads, side %i, FAILED to convexify after adding %li quads",
+ cav.elements.size(), k, cQuads.size());}
+ cav = cavBackup;
+ continue;
+ }
+
+ /* Extended cavity is good, keep it */
+ cavBackup.clear();
+
+ if (DBG_VERBOSE) {
+ Msg::Debug("cavity grow one side: %li quads, side %i, OK convexify (after adding %li quads)",
+ cav.elements.size(), k, cQuads.size());}
+
+ return true;
+ }
+ }
+ if (DBG_VERBOSE) {
+ Msg::Debug("cavity grow one side: %li quads, tried all sides, no extension possible",
+ cav.elements.size());}
+ cav = cavBackup;
+ return false;
+ }
+
+
+ bool growCavity(
+ const std::vector<MQuadrangle*>& quadsInit,
+ GrowthPolicy policy,
+ const std::vector<size_t>& patternsToCheck,
+ const unordered_map<size_t,size_t>& patternSizeLimits,
+ const unordered_set<MVertex*>& allowedIrregularVertices,
+ const unordered_set<MVertex*>& forbiddenIrregularVertices,
+ RemeshableCavity& rcav){
+
+ /* clear current cavity */
+ cav.clear();
+ cavBackup.clear();
+ cav.quadIsInside.resize(quads.size(),false);
+ cav.quadEdgeIsBdr.resize(4*quads.size(),false);
+
+ /* constrain the growth */
+ vertexForbidden.clear();
+ vertexForbidden.resize(vertices.size(),false);
+ for (MVertex* v: forbiddenIrregularVertices) {
+ if (allowedIrregularVertices.find(v) != allowedIrregularVertices.end()) {
+ continue;
+ }
+ auto it = vertexLocal.find(v);
+ if (it != vertexLocal.end()) vertexForbidden[it->second] = true;
+ }
+
+ /* initialize the cavity with given quads */
+ vector<uint32_t> lquads;
+ for (MQuadrangle* q: quadsInit) {
+ auto it = quadLocal.find(q);
+ if (it == quadLocal.end()) {
+ Msg::Error("cavity farmer: quad not found in farmer mesh");
+ return false;
+ }
+ lquads.push_back(it->second);
+ }
+ sort_unique(lquads);
+
+ bool oka = addQuads(lquads);
+ if (!oka) {
+ // Initialization may be rejected if it includes forbidden vertices or quad edges
+ // (e.g. around the vertex of an embedded line)
+ Msg::Debug("cavity remeshing: failed to initialize (%li quads)", lquads.size());
+ return false;
+ }
+
+ uint32_t lastNbIrregular = 0;
+ bool running = true;
+ uint32_t iter = 0;
+ while (running) {
+ iter += 1;
+ /* Grow the cavity on one of its sides */
+ bool okg = growCavityStep();
+ // if (false) {
+ // std::string name = "cav" + std::to_string(ccc) + "_it" + std::to_string(iter) + "_" + std::to_string(okg);
+ // debug_show_cavity(name, true);
+ // GeoLog::flush();
+ // }
+ if (!okg) {
+ if (DBG_VERBOSE) {Msg::Debug("------ grow cavity: iter %li, %li vertices, failed to grow cavity",
+ iter, cav.verticesInt.size() + cav.verticesBdr.size());}
+ break;
+ }
+
+ /* nb of irregular vertices in cavity, counting interior and boundary, and singularities */
+ uint32_t curCavityNirreg = 0;
+ uint32_t curNcorners = 0;
+ double curCavityIrregularity = cavityIrregularity(curCavityNirreg, curNcorners);
+ /* If no new irregular vertices, continue the growth */
+ if (curCavityNirreg <= lastNbIrregular) continue;
+
+ /* Check if the cavity is topologicaly remeshable with patterns */
+ std::vector<std::vector<uint32_t> > sides; /* same for the different pattern checks */
+ uint32_t Ncorners = 0;
+ double bestIrreg = DBL_MAX;
+ for (size_t pId: patternsToCheck) {
+ /* Check pattern size limit if any */
+ auto it = patternSizeLimits.find(pId);
+ if (it != patternSizeLimits.end() && cav.elements.size() > it->second)
+ continue;
+
+ if (patternNumberOfCorners(pId) != curNcorners) {
+ if (DBG_VERBOSE) {Msg::Debug("------ grow cavity: iter %li, %li quads, not right number of corners (%i)",
+ iter, cav.elements.size(), curNcorners);}
+ continue;
+ }
+
+ if (pId == PATTERN_QUAD_DIAG35 || pId == PATTERN_QUAD_ALIGNED35
+ || pId == PATTERN_QUAD_CHORD_UTURN) {
+ /* these patterns have two irregular vertices inside, no need to check
+ * if there are only two irregular vertices in current cavity */
+ if (curCavityNirreg <= 2) continue;
+ }
+
+ /* Get the sides to check if remeshable */
+ if (sides.size() == 0) { /* first time, same for the next pattern checks */
+ bool oks = getCavitySides(Ncorners, sides);
+ if (!oks) {
+ if (DBG_VERBOSE) {Msg::Debug("------ grow cavity: iter %li, %li quads, failed to build cavity boundary",
+ iter, cav.elements.size());}
+ break;
+ }
+ }
+
+ /* Number of vertices on each side, including extremities */
+ std::vector<size_t> sideSizes(sides.size());
+ for (size_t i = 0; i < sideSizes.size(); ++i) sideSizes[i] = sides[i].size();
+
+ if (pId == PATTERN_QUAD_REGULAR) {
+ /* two opposite sides must have same number of vertices, no need to check else */
+ if (sideSizes.size() != 4) continue;
+ if (sideSizes[0] != sideSizes[2] || sideSizes[1] != sideSizes[3]) continue;
+ }
+
+ /* Check if remeshable with pattern pId */
+ double irregAfterRemeshing = 0.; /* to ensure irregularity decrease with remeshing */
+ std::pair<size_t,int> par;
+ bool meshable = patchIsRemeshableWithQuadPattern({pId}, Ncorners, sideSizes, par, irregAfterRemeshing);
+
+ if (DBG_VERBOSE) {Msg::Debug("------ grow cavity: iter %li, %li quads, #sides=%li, #irregular=%i, cavityIrregularity=%f | CHECK pId %li: remeshability: %i, irregAfterRemeshing=%e (best was %e)",
+ iter, cav.elements.size(), sides.size(), curCavityNirreg, curCavityIrregularity, pId, meshable, irregAfterRemeshing, bestIrreg);}
+
+ if (!meshable) continue;
+ if (irregAfterRemeshing >= bestIrreg) {
+ if (DBG_VERBOSE) {Msg::Debug("------- discard because irregAfterRemeshing=%f >= bestIrreg=%f",
+ irregAfterRemeshing, bestIrreg);}
+ continue;
+ }
+ if (irregAfterRemeshing >= curCavityIrregularity) {
+ if (DBG_VERBOSE) {Msg::Debug("------- discard because irregAfterRemeshing=%f >= curCavityIrregularity=%f",
+ irregAfterRemeshing, curCavityIrregularity);}
+ continue;
+ }
+
+ { /* set last remeshable cavity */
+ if (DBG_VERBOSE) {Msg::Debug("------ grow cavity: iter %li, %li quads, set new remeshable cavity (irregAfterRemeshing=%f)",
+ iter, cav.elements.size(), irregAfterRemeshing);}
+ bestIrreg = irregAfterRemeshing;
+ lastNbIrregular = curCavityNirreg;
+
+ /* set last remeshable cavity */
+ rcav.irregularityMeasure = irregAfterRemeshing;
+ rcav.nIrregular = curCavityNirreg;
+ rcav.patternNoAndRot = par;
+ /* - convert local indices to gmsh elements */
+ rcav.elements.clear();
+ rcav.elements.reserve(cav.elements.size());
+ for (uint32_t f: cav.elements) {
+ rcav.elements.push_back(quadrangles[f]);
+ }
+ rcav.intVertices.clear();
+ rcav.intVertices.reserve(cav.verticesInt.size());
+ for (uint32_t v: cav.verticesInt) {
+ rcav.intVertices.push_back(vertices[v]);
+ }
+ rcav.sides.resize(sides.size());
+ for (size_t i = 0; i < sides.size(); ++i) {
+ rcav.sides[i].resize(sides[i].size());
+ for (size_t j = 0; j < sides[i].size(); ++j) {
+ rcav.sides[i][j] = vertices[sides[i][j]];
+ }
+ }
+
+ if (DBG_VERBOSE) {Msg::Debug("------ grow cavity: iter %li, %li quads, SET LAST remeshable cavity (#irreg = %li)",
+ iter, rcav.elements.size(), curCavityNirreg);}
+ }
+ }
+ if (policy == GROW_MINIMAL && bestIrreg != DBL_MAX && lastNbIrregular > 0) {
+ /* Found a remeshable cavity, return */
+ if (DBG_VERBOSE) {Msg::Debug("------ grow cavity: iter %li, %li quads, policy is MINIMAL growth, RETURN cavity",
+ iter, rcav.elements.size());}
+ return true;
+ }
+ }
+
+ if (lastNbIrregular > 0) {
+ if (DBG_VERBOSE) {Msg::Debug("------ grow cavity: iter %li, %li quads, MAXIMAL growth, RETURN cavity",
+ iter, rcav.elements.size());}
+ }
+
+ return lastNbIrregular > 0;
+ }
+
+ bool getCavityNeighbors(RemeshableCavity& rcav, std::vector<MElement*>& neighbors) {
+ neighbors.clear();
+ std::vector<uint32_t> bdr;
+ for (auto& side: rcav.sides) for (MVertex* v: side) {
+ auto it = vertexLocal.find(v);
+ if (it != vertexLocal.end()) {
+ bdr.push_back(it->second);
+ }
+ }
+ sort_unique(bdr);
+ for (uint32_t v: bdr) {
+ const uint32_t begin = v2q_first[v];
+ const uint32_t end = v2q_first[v+1];
+ for (uint32_t pos = begin; pos < end; ++pos) {
+ const uint32_t f = v2q_values[pos];
+ MElement* elt = quadrangles[f];
+ neighbors.push_back(elt);
+ }
+ }
+ neighbors = difference(neighbors,rcav.elements);
+ return true;
+ }
+ };
+
+ bool quadMeshIsMinimal(const CavityFarmer& farmer, const std::vector<std::pair<SPoint3,int> >& singularities) {
+ if (farmer.vertices.size() == 0) {
+ Msg::Error("quadMeshIsMinimal: farmer not initialized");
+ return false;
+ }
+ size_t nIrregInt = 0;
+ size_t nIrregBdr = 0;
+ for (uint32_t i = 0; i < farmer.vertices.size(); ++i) {
+ uint32_t val = farmer.v2q_first[i+1]-farmer.v2q_first[i];
+ MVertex* v = farmer.vertices[i];
+ if (v->onWhat()->cast2Face() != nullptr && val != 4) {
+ nIrregInt += 1;
+ } else if (v->onWhat()->cast2Edge() != nullptr && val != 2) {
+ nIrregBdr += 1;
+ }
+ }
+ if (nIrregBdr == 0 && nIrregInt == singularities.size()) return true;
+ return false;
+ }
+
+
+ bool remeshCavity(GFace* gf, RemeshableCavity& cav, QuadqsGFaceContext& ctx,
+ const std::vector<MElement*>& cavityNeighborsForSmoothing) {
+ /* Collect current patch components */
+ bool SHOW_REMESH_CAV = false;
+ static size_t ccount = 0;
+ if (SHOW_REMESH_CAV) {
+ ccount += 1;
+ std::string name = "cav" + std::to_string(ccount);
+ GeoLog::add(cav.elements,name+"_try");
+ }
+
+ /* Call the remeshing code */
+ const double minSICNafer = 0.1;
+ GFaceMeshDiff diff;
+ int st = remeshPatchWithQuadPattern(gf, cav.patternNoAndRot, cav.sides, cav.elements,
+ cav.intVertices, minSICNafer, ctx.invertNormalsForQuality, ctx.sp, diff);
+ if (st != 0) {
+ if (DBG_VERBOSE) {Msg::Debug("remesh cavity: %li quads, failed to remesh path with quad pattern",
+ cav.elements.size());}
+ return false;
+ }
+
+ /* Check the geometry quality before / after*/
+ double sicnMin, sicnAvg;
+ computeSICN(diff.before.elements, sicnMin, sicnAvg);
+ double sicnMinAfter, sicnAvgAfter;
+ computeSICN(diff.after.elements, sicnMinAfter, sicnAvgAfter);
+ if ((sicnMin > 0.3 && sicnAvg > 0.5) || sicnMinAfter > sicnMin) {
+ constexpr bool verifyTopology = true;
+ size_t neb = diff.before.elements.size();
+ size_t nea = diff.after.elements.size();
+ size_t nvb = diff.before.intVertices.size();
+ size_t nva = diff.after.intVertices.size();
+
+ if (SHOW_REMESH_CAV) {
+ std::string name = "cav" + std::to_string(ccount);
+ GeoLog::add(diff.after.elements,name+"_OK");
+ }
+
+ /* To smooth the interface between remeshed cavity and rest of the mesh,
+ * we collect the boundary (interior to the mesh) and its adjacent quads */
+ vector<MVertex*> toSmooth;
+ vector<MElement*> neighbors = cavityNeighborsForSmoothing;
+ {
+ /* Cavity boundary vertices, inside the surface, not changed by diff.execute() */
+ toSmooth.reserve(diff.after.bdrVertices.front().size());
+ for (MVertex* v: diff.after.bdrVertices.front()) {
+ GFace* gf = dynamic_cast<GFace*>(v->onWhat());
+ if (gf != nullptr) toSmooth.push_back(v);
+ }
+
+ /* New quads inside cavity, touching boundary, still present after execute() */
+ for (MElement* e: diff.after.elements) for (size_t lv = 0; lv < 4; ++lv) {
+ MVertex* v = e->getVertex(lv);
+ auto it = std::find(toSmooth.begin(),toSmooth.end(),v);
+ if (it != toSmooth.end()) {
+ neighbors.push_back(e);
+ break;
+ }
+ }
+ sort_unique(neighbors);
+ }
+
+ /* Modify the GFace mesh ! (and empty the diff content) */
+ bool oke = diff.execute(verifyTopology);
+ if (!oke) {
+ Msg::Error("remesh cavity: diff execute() failed, should not happen");
+ return false;
+ }
+
+ Msg::Debug("----V remeshed a cavity, %li -> %li quads, %li -> %li int. vertices, SICN min: %.3f -> %.3f",
+ neb, nea, nvb, nva, sicnMin, sicnMinAfter);
+
+ /* Boundary vertex smoothing, to get a smooth transition with the
+ * rest of the mesh after cavity remeshing */
+ {
+ GFaceMeshPatch patchBdr;
+ bool okp = patchFromElements(gf, neighbors, patchBdr);
+ if (okp) {
+ Msg::Debug("----P smooth cavity boundary (%li vertices, %li quads)",
+ patchBdr.intVertices.size(),patchBdr.elements.size());
+ GeomOptimStats stats;
+ GeomOptimOptions opt;
+ opt.sp = ctx.sp;
+ opt.outerLoopIterMax = 20.;
+ opt.timeMax = 10.;
+ opt.withBackup = true;
+ opt.invertCADNormals = ctx.invertNormalsForQuality;
+ opt.smartMinThreshold = 0.1;
+ opt.localLocking = true;
+ opt.dxLocalMax = 1.e-4;
+ patchOptimizeGeometryWithKernel(patchBdr, opt, stats);
+ }
+ }
+ Msg::Debug("---->");
+ return true;
+ } else {
+ Msg::Debug("----X reject cavity new geometry, SICN min: %.3f -> %.3f, avg: %.3f -> %.3f",
+ sicnMin, sicnMinAfter, sicnAvg, sicnAvgAfter);
+ if (SHOW_REMESH_CAV) {
+ std::string name = "cav" + std::to_string(ccount);
+ GeoLog::add(diff.after.elements,name+"_REJQ");
+ }
+ }
+
+ return false;
+ }
+
+ void assignSingularitiesToIrregularVertices(
+ GFace* gf,
+ const CavityFarmer& farmer,
+ const std::vector<std::pair<SPoint3,int> >& singularities,
+ std::vector<MVertex*>& irregularVertices) {
+ irregularVertices.clear();
+
+ /* Extract irregular vertices in face */
+ vector<MVertex*> nodeVal3;
+ vector<MVertex*> nodeVal5;
+
+ for (uint32_t i = 0; i < farmer.vertices.size(); ++i) {
+ uint32_t val = farmer.v2q_first[i+1]-farmer.v2q_first[i];
+ MVertex* v = farmer.vertices[i];
+ if (v->onWhat() != gf) continue;
+ if (val != 4) {
+ if (val == 3) {
+ nodeVal3.push_back(v);
+ } else if (val == 5) {
+ nodeVal5.push_back(v);
+ }
+ }
+ }
+
+ /* Assign singular vertices */
+ for (size_t i = 0; i < singularities.size(); ++i) {
+ int index = singularities[i].second;
+ vector<MVertex*>* verticesp;
+ if (index == 1) {
+ verticesp = &nodeVal3;
+ } else if (index == -1) {
+ verticesp = &nodeVal5;
+ } else {
+ Msg::Warning("cavity remeshing: face %i, singularity of index %i not supported", gf->tag(),index);
+ continue;
+ }
+ SPoint3 p = singularities[i].first;
+ vector<MVertex*>& vertices = *verticesp;
+ double dmin = DBL_MAX;
+ MVertex* best = nullptr;
+ for (size_t j = 0; j < vertices.size(); ++j) {
+ SVector3 p2 = vertices[j]->point();
+ double dist = vertices[j]->point().distance(p);
+ if (dist < dmin) {
+ dmin = dist;
+ best = vertices[j];
+ }
+ }
+ if (best != nullptr) {
+ irregularVertices.push_back(best);
+ } else {
+ Msg::Warning("- Face %i, singular node %i, failed to assign to irregular vertex", gf->tag(), i);
+ }
+ }
+ }
+
+ struct CavityStart {
+ std::vector<MQuadrangle*> quads;
+ SPoint3 center;
+
+ CavityStart(const std::vector<MQuadrangle*>& _qs) {
+ quads = _qs;
+ sort_unique(quads);
+ center = SPoint3(0.,0.,0.);
+ for (MQuadrangle* e: quads) {
+ center = center + e->barycenter();
+ }
+ if (quads.size() > 0) {
+ center = center * double(1./double(quads.size()));
+ }
+ }
+
+ bool operator==(CavityStart const& b) const {
+ return b.quads == quads;
+ }
+ };
+
+ struct CavityStartHash {
+ size_t operator()(const CavityStart& start) const noexcept {
+ size_t seed = 0;
+ for (MQuadrangle* a: start.quads) {
+ hash_combine(seed, robin_hood::hash_bytes(&a, sizeof(MQuadrangle*)));
+ }
+ return seed;
+ }
+ };
+
+ struct StartStats {
+ int nTry = 0;
+ int nTryMax = 0;
+ };
+
+ struct CavityRegulator {
+ unordered_map<CavityStart, StartStats, CavityStartHash> starts;
+
+ bool authorized(const CavityStart& start) {
+ auto it = starts.find(start);
+ if (it == starts.end()) {
+ return true;
+ } else {
+ if (it->second.nTry < it->second.nTryMax) return true;
+ }
+ return false;
+ }
+
+ void declare(const CavityStart& start, int nTryMaxIfFirstTime = 3) {
+ auto it = starts.find(start);
+ if (it != starts.end()) {
+ it->second.nTry += 1;
+ } else { /* new start */
+ StartStats st;
+ st.nTry = 1;
+ st.nTryMax = nTryMaxIfFirstTime;
+ starts[start] = st;
+ }
+ }
+
+ void decreaseCounterCloseStarts(const CavityFarmer& farmer,
+ const SPoint3& pos, size_t Nclose = 4) {
+ std::vector<std::pair<double,StartStats*> > dist_stats;
+ for (auto& kv: starts) {
+ bool stillExists = true;
+ for (MQuadrangle* q: kv.first.quads) {
+ if (farmer.quadLocal.find(q) == farmer.quadLocal.end()) {
+ stillExists = false;
+ break;
+ }
+ }
+ if (!stillExists) continue;
+ double dist = pos.distance(kv.first.center);
+ if (dist > 1.e-22) {
+ dist_stats.push_back({dist,&(kv.second)});
+ }
+ }
+ std::sort(dist_stats.begin(),dist_stats.end());
+ for (size_t i = 0; i < std::min(Nclose,dist_stats.size()); ++i) {
+ dist_stats[i].second->nTry -= 1;
+ }
+ }
+
+ };
+
+ bool remeshQuadrilateralCavities(GFace* gf,
+ const std::vector<std::pair<SPoint3,int> >& singularities,
+ const std::vector<size_t>& patternsToCheck,
+ const unordered_map<size_t,size_t>& patternSizeLimits,
+ CavityRegulator& regulator,
+ QuadqsGFaceContext& ctx)
+ {
+ if (ctx.finished) return true;
+
+ Msg::Debug("-- remeshing quadrilateral cavities (%i quads, %i patterns to check) ...",
+ gf->quadrangles.size(), patternsToCheck.size());
+ unordered_set<MVertex*> allowedIrregularVertices;
+ unordered_set<MVertex*> forbiddenIrregularVertices;
+ std::vector<MVertex*> singularVertices; /* to be preserved */
+ std::vector<SPoint3> repulsion; /* to distribute the cavities, add repulsion after remeshing */
+
+ size_t nbCavityRemeshed = 0;
+
+ /* for PASS_ALONG_GEDGES
+ * The queue contains the curves which are not loop */
+ std::queue<GEdge*> gedges;
+ for (GEdge* ge: gf->edges()) {
+ /* Ignore periodic curves */
+ if (ge->vertices().size() != 2) continue;
+ if (ge->periodic(0)) continue;
+ if (ge->vertices().front() == ge->vertices().back()) continue;
+ gedges.push(ge);
+ }
+
+ /* for PASS_FROM_CORNERS
+ * The queue contains the CAD corners which are not concave */
+ std::queue<GVertex*> gcorners;
+ for (GVertex* gv: gf->vertices()) {
+ gcorners.push(gv);
+ }
+
+ /* for PASS_FROM_IRREGULAR
+ * The priority queue contains the irregular vertices not associated
+ * to cross field singularity and a priority based on repulsion.
+ * Higher values appear first when doing Q.top() */
+ std::priority_queue<std::pair<double,MVertex*>, std::vector<std::pair<double,MVertex*> > > Qirreg;
+
+ CavityFarmer farmer(gf);
+
+ const size_t PASS_FROM_CORNERS = 1;
+ const size_t PASS_ALONG_GEDGES = 2;
+ const size_t PASS_FROM_IRREGULAR = 3;
+ for (size_t pass : {PASS_FROM_CORNERS, PASS_ALONG_GEDGES, PASS_FROM_IRREGULAR}) {
+ bool updateRequired = true;
+ bool inProgress = true;
+ while (inProgress
+ || (pass == PASS_FROM_CORNERS && gcorners.size() > 0)
+ || (pass == PASS_ALONG_GEDGES && gedges.size() > 0)
+ || (pass == PASS_FROM_IRREGULAR && Qirreg.size() > 0)) {
+ inProgress = false;
+
+ if (updateRequired) {
+ farmer.updateFarmer(gf);
+
+ if (quadMeshIsMinimal(farmer, singularities)) {
+ ctx.finished = true;
+ break;
+ }
+
+ /* Get vertices to preserve from cross field singularities */
+ assignSingularitiesToIrregularVertices(gf, farmer, singularities, singularVertices);
+ forbiddenIrregularVertices.clear();
+ for (MVertex* v: singularVertices) forbiddenIrregularVertices.insert(v);
+
+ if (pass == PASS_FROM_IRREGULAR) {
+ /* Update the queue */
+ while (!Qirreg.empty()) { /* empty the queue */
+ Qirreg.pop();
+ }
+ for (uint32_t i = 0; i < farmer.vertices.size(); ++i) {
+ uint32_t val = farmer.v2q_first[i+1]-farmer.v2q_first[i];
+ MVertex* v = farmer.vertices[i];
+ if (v->onWhat() != gf) continue;
+ if (val == 4) continue;
+ if (forbiddenIrregularVertices.find(v) != forbiddenIrregularVertices.end()) continue;
+
+ SPoint3 pt = v->point();
+ double prio = 0.;
+ for (const SPoint3& r: repulsion) {
+ prio += pt.distance(r);
+ }
+ /* deterministic offset for reproductibility */
+ double offsetR = 1.e-16*double(v->getNum());
+ Qirreg.push({prio+offsetR,v});
+ }
+ }
+
+ updateRequired = false;
+ }
+
+ /* Initialize a remeshing cavity */
+ std::vector<MQuadrangle*> quadsInit;
+ size_t nTryMax = 3;
+ GrowthPolicy policy;
+ MVertex* vIrreg = nullptr; /* only used with PASS_FROM_IRREGULAR */
+ if (pass == PASS_FROM_CORNERS) {
+ if (gcorners.empty()) continue;
+ policy = GROW_MAXIMAL;
+ nTryMax = 1;
+ allowedIrregularVertices.clear();
+ GVertex* gv = gcorners.front();
+ gcorners.pop();
+ for (MVertex* v: gv->mesh_vertices) {
+ std::vector<MQuadrangle*> adjQuads;
+ bool oka = farmer.vertexAdjacentQuads(v, adjQuads);
+ if (oka) {
+ append(quadsInit,adjQuads);
+ }
+ }
+ sort_unique(quadsInit);
+ if (quadsInit.size() == 0 || quadsInit.size() >= 3) continue; /* do not start from concave corners */
+ } else if (pass == PASS_ALONG_GEDGES) {
+ if (gedges.empty()) continue;
+ policy = GROW_MAXIMAL;
+ nTryMax = 1;
+ allowedIrregularVertices.clear();
+ /* Get adjacent to a GEdge not yet processed */
+ GEdge* ge = gedges.front();
+ gedges.pop();
+ for (MVertex* v: ge->mesh_vertices) {
+ std::vector<MQuadrangle*> adjQuads;
+ bool oka = farmer.vertexAdjacentQuads(v, adjQuads);
+ if (oka) {
+ append(quadsInit,adjQuads);
+ }
+ }
+ sort_unique(quadsInit);
+ } else if (pass == PASS_FROM_IRREGULAR) {
+ if (Qirreg.empty()) continue;
+ policy = GROW_MINIMAL;
+ nTryMax = 3;
+ vIrreg = Qirreg.top().second;
+ Qirreg.pop();
+ std::vector<MQuadrangle*> adjQuads;
+ bool oka = farmer.vertexAdjacentQuads(vIrreg, adjQuads);
+ if (oka) {
+ append(quadsInit,adjQuads);
+ } else {
+ Msg::Error("remesh quad cavity: vertex not found in adjacency map, should NEVER happen");
+ return false;
+ }
+ }
+ if (quadsInit.size() == 0) continue;
+
+
+ /* Check if not too many try already done */
+ CavityStart start(quadsInit);
+ if (!regulator.authorized(start)) {
+ continue;
+ }
+ regulator.declare(start,nTryMax);
+
+ Msg::Debug("---< start cavity with %i quads", quadsInit.size());
+
+ /* Grow a convex cavity containg irregular vertices to remove */
+ RemeshableCavity cav;
+ bool okg = farmer.growCavity(quadsInit, policy, patternsToCheck, patternSizeLimits,
+ allowedIrregularVertices, forbiddenIrregularVertices, cav);
+ if (!okg) {
+ continue;
+ }
+
+ Msg::Debug("---- found a topological cavity with %i quads, try geometrical remeshing", cav.elements.size());
+
+ std::vector<MElement*> neighbors;
+ farmer.getCavityNeighbors(cav, neighbors);
+
+ bool okr = remeshCavity(gf, cav, ctx, neighbors);
+ if (okr) {
+ /* GFace mesh has changed, need to update adjacency info (v2q is no longer usable) */
+ updateRequired = true;
+ inProgress = true;
+ nbCavityRemeshed += 1;
+ repulsion.push_back(start.center);
+ size_t NcloseUnlock = 4;
+ regulator.decreaseCounterCloseStarts(farmer,start.center, NcloseUnlock);
+ }
+ }
+
+ if (ctx.finished) break;
+ }
+
+ Msg::Debug("-- remeshed %i quadrilateral cavities", nbCavityRemeshed);
+
+ ctx.nQuadCavityRemesh += nbCavityRemeshed;
+
+ return true;
+ }
+
+ bool remeshSingularityCavities(GFace* gf,
+ const std::vector<std::pair<SPoint3,int> >& singularities,
+ const std::vector<size_t>& patternsToCheck,
+ const unordered_map<size_t,size_t>& patternSizeLimits,
+ CavityRegulator& regulator,
+ QuadqsGFaceContext& ctx)
+ {
+ if (ctx.finished) return true;
+
+ Msg::Debug("-- remeshing singularity cavities (face %i, %i quads, %i patterns to check) ...",
+ gf->tag(), gf->quadrangles.size(), patternsToCheck.size());
+ unordered_set<MVertex*> allowedIrregularVertices;
+ unordered_set<MVertex*> forbiddenIrregularVertices;
+ std::vector<MVertex*> singularVertices; /* to preserve */
+ std::vector<SPoint3> repulsion; /* to distribute the cavities, add repulsion after remeshing */
+
+ size_t nbCavityRemeshed = 0;
+
+ /* The priority queue contains the irregular vertices associated to
+ * cross field singularity and a priority based on repulsion.
+ * Higher values appear first when doing Q.top() */
+ std::priority_queue<std::pair<double,MVertex*>, std::vector<std::pair<double,MVertex*> > > Q;
+
+ CavityFarmer farmer(gf);
+
+ bool updateRequired = true;
+ bool inProgress = true;
+ while (inProgress || Q.size() > 0) {
+ inProgress = false;
+
+ if (updateRequired) {
+ farmer.updateFarmer(gf);
+
+ if (quadMeshIsMinimal(farmer, singularities)) {
+ ctx.finished = true;
+ break;
+ }
+
+ /* Get vertices to preserve from cross field singularities */
+ assignSingularitiesToIrregularVertices(gf, farmer, singularities, singularVertices);
+ forbiddenIrregularVertices.clear();
+ for (MVertex* v: singularVertices) forbiddenIrregularVertices.insert(v);
+
+ /* Update the queue */
+ while (!Q.empty()) { /* empty the queue */
+ Q.pop();
+ }
+ for (MVertex* v: singularVertices) {
+ SPoint3 pt = v->point();
+ double prio = 0.;
+ for (const SPoint3& r: repulsion) {
+ prio += pt.distance(r);
+ }
+ /* deterministic offset for reproductibility */
+ double offsetR = 1.e-16*double(v->getNum());
+ Q.push({prio+offsetR,v});
+ }
+
+ updateRequired = false;
+ }
+
+ /* Initialize a remeshing cavity */
+ if (Q.empty()) continue;
+ GrowthPolicy policy = GROW_MINIMAL;
+ if (singularities.size() == 1) policy = GROW_MAXIMAL;
+ MVertex* vSing = Q.top().second;
+ Q.pop();
+ std::vector<MQuadrangle*> quadsInit;
+ bool oka = farmer.vertexAdjacentQuads(vSing, quadsInit);
+ if (!oka) {
+ Msg::Error("remesh singularity cavity: vertex not found in adjacency map, should NEVER happen");
+ return false;
+ }
+ allowedIrregularVertices.clear();
+ allowedIrregularVertices.insert(vSing);
+
+ /* Check if not too many try already done */
+ CavityStart start(quadsInit);
+ if (!regulator.authorized(start)) {
+ continue;
+ }
+ int nTryMax = 3;
+ regulator.declare(start,nTryMax);
+
+ Msg::Debug("---< start cavity with %i quads adjacent to singularity vertex %li",
+ quadsInit.size(), vSing->getNum());
+
+ /* Grow a convex cavity containg irregular vertices to remove */
+ RemeshableCavity cav;
+ bool okg = farmer.growCavity(quadsInit, policy, patternsToCheck, patternSizeLimits,
+ allowedIrregularVertices, forbiddenIrregularVertices, cav);
+ if (!okg) {
+ continue;
+ }
+
+ Msg::Debug("---- found a topological cavity with %i quads, try geometrical remeshing", cav.elements.size());
+
+ std::vector<MElement*> neighbors;
+ farmer.getCavityNeighbors(cav, neighbors);
+
+ bool okr = remeshCavity(gf, cav, ctx, neighbors);
+
+ if (okr) {
+ /* GFace mesh has changed, need to update adjacency info (v2q is no longer usable) */
+ updateRequired = true;
+ inProgress = true;
+ nbCavityRemeshed += 1;
+ repulsion.push_back(start.center);
+ size_t NcloseUnlock = 4;
+ regulator.decreaseCounterCloseStarts(farmer,start.center, NcloseUnlock);
+ }
+ }
+
+ ctx.nSingCavityRemesh += nbCavityRemeshed;
+
+ Msg::Debug("-- remeshed %i singularity cavities", nbCavityRemeshed);
+
+ return true;
+ }
+
+
+ /* Global storage. Patterns are initialized at runtime, by the call to initQuadPatterns() */
+ std::vector<QuadMeshPattern> patterns;
+}
+
+using namespace QMT;
+
+int initQuadPatterns() {
+ if (patterns.size() != 0) return false;
+ {
+ Msg::Info("loading %li quad patterns", quad_meshes.size());
+ patterns.resize(quad_meshes.size());
+ for (size_t i = 0; i < quad_meshes.size(); ++i) {
+ bool ok = patterns[i].load(quad_meshes[i].first, quad_meshes[i].second);
+ if (!ok) {
+ Msg::Error("mesh quad patterns, failed to init pattern no %i", i);
+ }
+ }
+ }
+ return true;
+}
+
+std::vector<size_t> getAllLoadedPatterns() {
+ std::vector<size_t> pIds;
+ for (size_t i = 0; i < patterns.size(); ++i) {
+ pIds.push_back(patterns[i].patternId);
+ }
+ return pIds;
+}
+
+bool patchIsRemeshableWithQuadPattern(
+ const std::vector<size_t>& patternsToCheck,
+ size_t Ncorners,
+ const std::vector<size_t>& sideSizes,
+ std::pair<size_t,int>& patternNoAndRot,
+ double& irregularityMeasure) {
+ irregularityMeasure = DBL_MAX;
+ if (patterns.size() == 0) {
+ Msg::Error("Quad patterns are not loaded, please call initQuadPatterns() before");
+ return false;
+ }
+
+ vector<bool> check(patterns.size(),false);
+ for (size_t pId: patternsToCheck) check[pId] = true;
+
+ double irreg_min = DBL_MAX;
+ for (size_t i = 0; i < patterns.size(); ++i) if (check[i]) {
+ const QuadMeshPattern& P = patterns[i];
+ // DBG(" ", i, P.ncorners, P.sides.size());;
+ if (Ncorners != P.ncorners) continue;
+ if (sideSizes.size() != P.sides.size()) continue;
+
+ int rot = 0;
+ double score = checkPatternMatchingWithRotations(P, sideSizes, rot);
+ if (score > 0.) {
+ double irreg = patternIrregularity(P);
+ if (irreg < irreg_min) {
+ patternNoAndRot.first = i;
+ patternNoAndRot.second = rot;
+ irreg_min = irreg;
+ }
+ }
+ }
+
+ irregularityMeasure = irreg_min;
+ return (irreg_min != DBL_MAX);
+}
+
+int remeshPatchWithQuadPattern(
+ GFace* gf,
+ const std::pair<size_t,int>& patternNoAndRot,
+ const std::vector<std::vector<MVertex*> > & sides,
+ const std::vector<MElement*> & elements,
+ const std::vector<MVertex*>& intVertices,
+ double minSICNrequired,
+ bool invertNormalsForQuality,
+ SurfaceProjector* sp,
+ GFaceMeshDiff& diff) {
+ if (patterns.size() == 0) {
+ Msg::Error("Quad patterns are not loaded, please call initQuadPatterns() before");
+ return false;
+ }
+
+ size_t N = sides.size();
+ const QuadMeshPattern& P = patterns[patternNoAndRot.first];
+ int rot = patternNoAndRot.second;
+ if (P.sides.size() != N) {
+ Msg::Error("remesh patch with patterns: sides not matching, shoud not happen (pattern has %li sides, but %li sides in input) ...", P.sides.size(), N);
+ return -1;
+ }
+
+ /* Apply the rotation */
+ std::vector<std::vector<MVertex*> > sidesr = sides;
+ if (rot > 0) {
+ std::rotate(sidesr.begin(),sidesr.begin()+(size_t)rot,sidesr.end());
+ } else if (rot < 0) {
+ std::reverse(sidesr.begin(),sidesr.end());
+ std::rotate(sidesr.begin(),sidesr.begin()+(size_t) std::abs(rot),sidesr.end());
+ for (size_t i = 0; i <sidesr.size(); ++i) {
+ std::reverse(sidesr[i].begin(),sidesr[i].end());
+ }
+ }
+
+ /* Verify the given pattern and given sides are coherent */
+ vector<size_t> ssr(sidesr.size());
+ for (size_t i = 0; i < sidesr.size(); ++i) ssr[i] = sidesr[i].size();
+ vector<int> slt;
+ double match = checkPatternMatching(P, ssr, slt);
+ if (match <= 0.) {
+ Msg::Error("remesh patch with patterns: given pattern not matching given sides");
+ return -1;
+ }
+
+ /* Add the new vertices and quads in the GFace */
+ MVertex* oldCenter = centerOfElements(elements);
+
+ /* Generate new interior MVertex and MElement instances */
+ diff.gf = gf;
+ diff.after.gf = gf;
+ bool oka = addQuadsAccordingToPattern(P, slt, gf, sidesr, diff.after.intVertices, diff.after.elements, oldCenter);
+ if (!oka) {
+ Msg::Error("failed to add quads according to pattern, weird");
+ clearStuff(diff.after.intVertices, diff.after.elements);
+ return -1;
+ }
+
+ /* Ensure coherent orientation between the new mesh and the boundary.
+ * The reference orientation (a,b) is from the sides before applying
+ * rotation. */
+ MVertex* a = sides[0][0];
+ MVertex* b = sides[0][1];
+ bool oko = orientElementsAccordingToBoundarySegment(a, b, diff.after.elements);
+ if (!oko) {
+ Msg::Error("remesh quad with patterns: bdr quad edge not found, weird");
+ return false;
+ }
+
+ /* Build the old patch in the diff */
+ diff.before.gf = gf;
+ diff.before.intVertices = intVertices;
+ diff.before.elements = elements;
+ /* - build a continuous bdr loop from the sides */
+ diff.before.bdrVertices = {{sides.front().front()}};
+ for (auto& side: sides) for (MVertex* v: side) {
+ if (v != diff.before.bdrVertices.front().back()) {
+ diff.before.bdrVertices.front().push_back(v);
+ }
+ }
+ if (diff.before.bdrVertices.front().back() == diff.before.bdrVertices.front().front()) {
+ diff.before.bdrVertices.front().pop_back();
+ }
+ diff.after.bdrVertices = diff.before.bdrVertices; /* the new patch has the same bdr */
+
+ /* Determine the new patch geometry by smoothing on the surface */
+ GeomOptimStats stats;
+ int stGeoGlobal = -1;
+ if (gf->haveParametrization()) {
+ stGeoGlobal = patchOptimizeGeometryGlobal(diff.after, stats);
+ if (stGeoGlobal != 0) {
+ Msg::Debug("failed to optimize geometry with global UV smoothing");
+ }
+ }
+
+ if (!gf->haveParametrization() || stGeoGlobal != 0 || stats.sicnMinAfter < minSICNrequired) {
+ /* Project */
+ bool okp = patchProjectOnSurface(diff.after, sp);
+ if (!okp) {
+ Msg::Debug("failed to project geometry");
+ return -1;
+ }
+
+ /* Smooth with kernel */
+ GeomOptimOptions opt;
+ opt.sp = sp;
+ opt.invertCADNormals = invertNormalsForQuality;
+ opt.outerLoopIterMax = 100;
+ opt.timeMax = 0.5;
+ opt.localLocking = true;
+ opt.dxGlobalMax = 1.e-3;
+ opt.dxLocalMax = 1.e-5;
+ opt.withBackup = false;
+ patchOptimizeGeometryWithKernel(diff.after, opt, stats);
+ }
+
+ if (stats.sicnMinAfter < minSICNrequired) {
+ Msg::Debug("remesh patch with quad pattern: rejected because SICN min is %.3f", stats.sicnMinAfter);
+ return -1;
+ }
+
+ return 0;
+}
+
+
+int improveQuadMeshTopologyWithCavityRemeshing(GFace* gf,
+ const std::vector<std::pair<SPoint3,int> >& singularities,
+ bool invertNormalsForQuality) {
+
+ Msg::Info("- Face %i: optimize quad mesh topology (%i elements, %i cross field singularities) with cavity remeshing ...",
+ gf->tag(), gf->quadrangles.size(), singularities.size());
+ size_t nqb = gf->quadrangles.size();
+ size_t nvb = gf->mesh_vertices.size();
+
+
+ QuadqsContext qqs;
+ QuadqsGFaceContext ctx(qqs);
+ ctx.invertNormalsForQuality = invertNormalsForQuality;
+
+ bool alwaysBuildSurfaceProjector = true;
+ if (alwaysBuildSurfaceProjector || !haveNiceParametrization(gf)) {
+ ctx.sp = new SurfaceProjector();
+ bool okf = fillSurfaceProjector(gf, ctx.sp);
+ if (!okf) {
+ return false;
+ }
+ }
+
+
+ unordered_map<size_t,size_t> patternSizeLimits;
+ patternSizeLimits[PATTERN_QUAD_DIAG35] = 100;
+ patternSizeLimits[PATTERN_QUAD_ALIGNED35] = 200;
+ patternSizeLimits[PATTERN_QUAD_CHORD_UTURN] = 100;
+ vector<size_t> patternsToCheck;
+
+ /* For a given cavity start, we count the number of cavities
+ * that have been tried
+ * The count is reset when an another close cavity is remeshed.
+ * When a cavity is remeshed, its interior vertices are changed,
+ * so the count is automatically reset.
+ * (the content may be invalid, so it shoud not be used without checking existence) */
+ CavityRegulator regulator;
+
+ bool running = true;
+ while (running) {
+ running = false;
+ size_t ncrb = ctx.nQuadCavityRemesh + ctx.nSingCavityRemesh;
+
+ Msg::Debug("<< start cavity remeshing iteration");
+
+ /* 1st pass: check regular quad patch remeshing only */
+ patternsToCheck = {PATTERN_QUAD_REGULAR};
+ bool ok1 = remeshQuadrilateralCavities(gf, singularities, patternsToCheck, patternSizeLimits, regulator, ctx);
+ if (!ok1) {
+ Msg::Error("- Face %i: failed to remesh quadrilateral cavities", gf->tag());
+ return false;
+ }
+
+ /* 2d pass: remesh around cross field singularities */
+ patternsToCheck = {PATTERN_TRIANGLE,PATTERN_PENTAGON};
+ bool ok2 = remeshSingularityCavities(gf, singularities, patternsToCheck, patternSizeLimits, regulator,ctx);
+ if (!ok2) {
+ Msg::Error("- Face %i: failed to remesh singularity cavities", gf->tag());
+ return false;
+ }
+
+ /* 3d pass: check regular quad patches again (if unlocked by singularity remeshing) */
+ patternsToCheck = {PATTERN_QUAD_REGULAR};
+ bool ok3 = remeshQuadrilateralCavities(gf, singularities, patternsToCheck, patternSizeLimits, regulator, ctx);
+ if (!ok3) {
+ Msg::Error("- Face %i: failed to remesh quadrilateral cavities", gf->tag());
+ return false;
+ }
+
+ /* 4d pass: size transition patterns */
+ patternsToCheck = {PATTERN_QUAD_REGULAR, PATTERN_QUAD_DIAG35, PATTERN_QUAD_ALIGNED35, PATTERN_QUAD_CHORD_UTURN};
+ bool ok4 = remeshQuadrilateralCavities(gf, singularities, patternsToCheck, patternSizeLimits, regulator, ctx);
+ if (!ok4) {
+ Msg::Error("- Face %i: failed to remesh quadrilateral cavities", gf->tag());
+ return false;
+ }
+
+ size_t ncra = ctx.nQuadCavityRemesh + ctx.nSingCavityRemesh;
+ if (ncra > ncrb) { /* The mesh changed */
+ /* Smooth geometry (quick) */
+ double timeMax = 1.;
+ optimizeGeometryQuadMesh(gf, ctx.sp, timeMax);
+
+ /* Decrease the try counter, to enable a new try everywhere */
+ for (auto& kv: regulator.starts) if (kv.second.nTry > 0) {
+ kv.second.nTry -= 1;
+ }
+ }
+
+ /* Restart a full iteration if some cavities have been remeshed */
+ if (ncra > ncrb) running = true;
+ Msg::Debug(">> end of cavity remeshing iteration");
+
+ if (ctx.finished) {
+ Msg::Debug("quad mesh remeshing is finised (minimal number of irregular vertices)");
+ break;
+ }
+ }
+
+ if (ctx.sp) {
+ delete ctx.sp;
+ ctx.sp = nullptr;
+ }
+
+ Msg::Info("- Face %i: remeshed %i singular and %i quadrilateral cavities, %i -> %i quads, %i -> %i vertices",
+ gf->tag(), ctx.nSingCavityRemesh, ctx.nQuadCavityRemesh, nqb, gf->quadrangles.size(), nvb, gf->mesh_vertices.size());
+
+ return 0;
+}
+
+int meshFaceWithGlobalPattern(GFace* gf, bool invertNormalsForQuality, double minimumQualityRequired) {
+ GFaceInfo info;
+ bool okf = fillGFaceInfo(gf, info);
+ if (!okf) return -1;
+
+ /* Check if convex topological disk */
+ bool convexTopologicalDisk = isTopologicalDisk(info) && !haveConcaveCorners(info);
+ if (!convexTopologicalDisk) {
+ return -1;
+ }
+
+ Msg::Debug("- Face %i: is topological disk, try quad pattern meshing", gf->tag());
+
+ double t0 = Cpu();
+
+ /* Build the ordered sides */
+ const vector<GEdge *>& edges = gf->edges();
+ unordered_map<GVertex*,vector<GEdge*> > v2e;
+ for (GEdge* ge: edges) {
+ if (ge->periodic(0)) continue;
+ for (GVertex* gv: ge->vertices()) v2e[gv].push_back(ge);
+ }
+ for (auto& kv: v2e) { sort_unique(kv.second); }
+ std::set<GVertex*> corners = info.bdrValVertices[1];
+ bool disk = (corners.size() == 0 && info.bdrValVertices[2].size() > 0);
+
+ /* Sort CAD edges in sides */
+ vector<vector<GEdge*> > sides;
+ vector<vector<bool> > sidesInv;
+ for (GEdge* e0: edges) if (!e0->periodic(0)) {
+ GVertex* v1 = e0->vertices()[0];
+ GVertex* v2 = e0->vertices()[1];
+ bool v1IsCorner = (corners.find(v1) != corners.end());
+ if (!disk && !v1IsCorner) continue;
+ if (disk) {
+ sides.resize(1);
+ sidesInv.resize(1);
+ }
+
+ size_t infLoop = 0;
+ GVertex* v = v1;
+ GEdge* e = e0;
+ bool inv = false;
+ do {
+ infLoop += 1;
+ if (infLoop > 1e6) {
+ Msg::Warning("infinite loop in edges of face %i, cancel simple quad mesh", gf->tag());
+ return -1;
+ }
+ bool vIsCorner = (corners.find(v) != corners.end());
+ if (vIsCorner) {
+ sides.resize(sides.size()+1);
+ sidesInv.resize(sidesInv.size()+1);
+ }
+ v1 = e->vertices()[0];
+ v2 = e->vertices()[1];
+
+ inv = (v == v2);
+
+ sides.back().push_back(e);
+ sidesInv.back().push_back(inv);
+
+ GVertex* v_next = NULL;
+ if (v2 != v) {
+ v_next = v2;
+ } else {
+ v_next = v1;
+ }
+ GEdge* e_next = NULL;
+ if (v2e[v_next].size() == 2) {
+ e_next = (v2e[v_next][0] != e) ? v2e[v_next][0] : v2e[v_next][1];
+ } else {
+ Msg::Warning("non manifold edge loop around face %li, cancel simple quad mesh", gf->tag());
+ return -1;
+ }
+
+ e = e_next;
+ v = v_next;
+ } while (e != e0);
+ break;
+ }
+
+ if (disk && gf->edges().size() == 1 && gf->edges()[0]->periodic(0)) {
+ sides = {gf->edges()};
+ sidesInv = {{false}};
+ }
+
+ if (sides.size() == 0) {
+ Msg::Debug("face %i (%li edges), failed to build sides",gf->tag(),edges.size());
+ DBG(disk);
+ return -1;
+ }
+
+ /* Collect mesh vertices */
+ vector<vector<MVertex*> > sideVertices(sides.size());
+ for (size_t i = 0; i < sides.size(); ++i) {
+ for (size_t j = 0; j < sides[i].size(); ++j) {
+ GEdge* ge = sides[i][j];
+ bool inv = sidesInv[i][j];
+ GVertex* v1 = ge->vertices()[0];
+ GVertex* v2 = ge->vertices()[1];
+
+ /* Vertices from v1 to v2 */
+ vector<MVertex*> ge_vert;
+ {
+ std::vector<MEdge> medges(ge->lines.size());
+ for (size_t k = 0; k < ge->lines.size(); ++k) {
+ medges[k] = MEdge(ge->lines[k]->getVertex(0),ge->lines[k]->getVertex(1));
+ }
+ std::vector<std::vector<MVertex* > > gevs;
+ bool oks = SortEdgeConsecutive(medges, gevs);
+ if (!oks || gevs.size() != 1) return -1;
+ if (gevs[0].front() == v1->mesh_vertices[0]
+ && gevs[0].back() == v2->mesh_vertices[0]) {
+ ge_vert = gevs[0];
+ } else if (gevs[0].front() == v2->mesh_vertices[0]
+ && gevs[0].back() == v1->mesh_vertices[0]) {
+ ge_vert = gevs[0];
+ std::reverse(ge_vert.begin(),ge_vert.end());
+ } else {
+ Msg::Error("corner and edge vertices not matching");
+ return -1;
+ }
+ }
+
+ if (inv) {
+ std::reverse(ge_vert.begin(),ge_vert.end());
+ }
+ if (sideVertices[i].size() == 0) {
+ append(sideVertices[i], ge_vert);
+ } else {
+ if (sideVertices[i].back() == ge_vert[0]) {
+ sideVertices[i].pop_back();
+ }
+ append(sideVertices[i], ge_vert);
+ }
+ }
+ }
+
+ /* When there is just one side, two possible cases:
+ * - disk (all bdr vertices are quad-valence 2)
+ * - face with only one convex corner
+ */
+ if (sides.size() == 1) {
+ if (sides[0].size() < 1) {
+ Msg::Warning("not enough vertices on face loop for quad meshing (%li vert)", sides[0].size());
+ return -1;
+ }
+ if (disk) {
+ if (sides[0].front() == sides[0].back()) {
+ sides[0].pop_back();
+ }
+ } else {
+ if (sides[0].front() == sides[0].back()) {
+ sides[0].pop_back();
+ }
+ }
+ }
+
+
+ /* Pure topological check with side sizes */
+ std::vector<size_t> patternsToCheck = getAllLoadedPatterns();
+ std::vector<size_t> sideSizes(sideVertices.size());
+ for (size_t i = 0; i < sideSizes.size(); ++i) sideSizes[i] = sideVertices[i].size();
+
+ std::pair<size_t,int> patternNoAndRot;
+ size_t Ncorners = disk ? 0 : sideSizes.size();
+ double irreg;
+ bool meshable = patchIsRemeshableWithQuadPattern(patternsToCheck, Ncorners, sideSizes, patternNoAndRot, irreg);
+ if (!meshable) return -1;
+
+
+ /* Build the mesh, smooth and check the geometry quality */
+ std::vector<MElement*> oldElements;
+ oldElements.reserve(gf->quadrangles.size()+gf->triangles.size());
+ for (MElement* f: gf->triangles) oldElements.push_back(f);
+ for (MElement* f: gf->quadrangles) oldElements.push_back(f);
+ std::vector<MVertex*> oldVertices = gf->mesh_vertices;
+
+ /* SurfaceProjector, useful for smoothing */
+ SurfaceProjector* sp = new SurfaceProjector();
+ bool oksp = fillSurfaceProjector(gf, sp);
+ if (!oksp) {
+ delete sp;
+ sp = nullptr;
+ }
+
+ const double minSICNafer = -DBL_MAX; /* do not filter based on quality */
+ GFaceMeshDiff diff;
+ int st = remeshPatchWithQuadPattern(gf, patternNoAndRot, sideVertices, oldElements,
+ oldVertices, minSICNafer, invertNormalsForQuality, sp, diff);
+ if (st != 0) {
+ if (DBG_VERBOSE) {Msg::Debug("remesh cavity: %li quads, failed to remesh path with quad pattern",
+ oldElements.size());}
+ if (sp) delete sp;
+ return -1;
+ }
+
+ bool good = false;
+ double sicnMin, sicnAvg;
+ double sicnMinAfter, sicnAvgAfter;
+ size_t neb = diff.before.elements.size();
+ size_t nea = diff.after.elements.size();
+ size_t nvb = diff.before.intVertices.size();
+ size_t nva = diff.after.intVertices.size();
+ {
+
+ GeomOptimStats stats;
+ GeomOptimOptions opt;
+ opt.sp = sp;
+ opt.outerLoopIterMax = 100;
+ opt.timeMax = 3.;
+ opt.localLocking = true;
+ opt.dxGlobalMax = 1.e-3;
+ opt.dxLocalMax = 1.e-5;
+ opt.force3DwithProjection = true;
+ opt.withBackup = false;
+ bool oko = patchOptimizeGeometryWithKernel(diff.after, opt, stats);
+ if (!oko) {
+ if (sp) delete sp;
+ return -1;
+ }
+
+ computeSICN(diff.before.elements, sicnMin, sicnAvg);
+ computeSICN(diff.after.elements, sicnMinAfter, sicnAvgAfter);
+ if (sicnMinAfter > minimumQualityRequired) {
+ constexpr bool verifyTopology = true;
+ bool oke = diff.execute(verifyTopology);
+ if (oke) {
+ good = true;
+ } else {
+ Msg::Error("remesh cavity: diff execute() failed, should not happen");
+ }
+ } else {
+ Msg::Debug("- Face %i: pattern-based quad mesh REJECTED because SICN min %.3f < %.3f",
+ gf->tag(), sicnMinAfter, minimumQualityRequired);
+ }
+ }
+
+ if (good) {
+ Msg::Info("- Face %i: remeshed with a global pattern, %li -> %li quads, %i -> %i int. vertices, SICN min: %.3f -> %.3f, SICN avg: %.3f -> %.3f, time: %.3fs",
+ gf->tag(), neb, nea, nvb, nva, sicnMin, sicnMinAfter, sicnAvg, sicnAvgAfter, Cpu()-t0);
+ gf->meshStatistics.status = GFace::DONE;
+ }
+
+ if (sp) delete sp;
+
+ return good;
+}
diff --git a/contrib/QuadMeshingTools/qmtQuadCavityRemeshing.h b/contrib/QuadMeshingTools/qmtQuadCavityRemeshing.h
new file mode 100644
index 0000000000000000000000000000000000000000..fb3b417572784249853d2b09c2678f1107b5f48e
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtQuadCavityRemeshing.h
@@ -0,0 +1,132 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#pragma once
+
+#include "qmtMeshUtils.h"
+
+class SurfaceProjector;
+
+
+/**
+ * @brief Apply iterative cavity remeshing to the face mesh
+ * to reduce the number of irregular vertices which
+ * are not matching cross field singularities.
+ * The quad patterns must be loaded before (see initQuadPatterns()).
+ *
+ * @param[in,out] gf The face containing the quad mesh to improve
+ * @param[in] singularities Floating list of cross field singularities, specified by
+ * their position and their index (-1 for valence 5, +1 for valence 3)
+ * @param[in] invertNormalsForQuality The CAD normals are used to compute signed quality.
+ * This flag invert invert the CAD normals in the measure.
+ *
+ * @return 0 if success
+ */
+int improveQuadMeshTopologyWithCavityRemeshing(GFace* gf,
+ const std::vector<std::pair<SPoint3,int> >& singularities,
+ bool invertNormalsForQuality);
+
+/**
+ * @brief Consider the current face mesh as a global single cavity
+ * and try to mesh it with the exising patterns.
+ * The quad patterns must be loaded before (see initQuadPatterns()).
+ *
+ * @param[in,out] gf The face containing the quad mesh to improve
+ * @param[in] invertNormalsForQuality The CAD normals are used to compute signed quality.
+ * This flag invert invert the CAD normals in the measure.
+ * @param[in] minimumQualityRequired Minimum quality (SICN) required to accept a new quad mesh
+ *
+ * @return 0 if success
+ */
+int meshFaceWithGlobalPattern(GFace* gf, bool invertNormalsForQuality, double minimumQualityRequired);
+
+
+/* List of patterns */
+extern const size_t PATTERN_QUAD_REGULAR;
+extern const size_t PATTERN_TRIANGLE;
+extern const size_t PATTERN_PENTAGON;
+extern const size_t PATTERN_QUAD_DIAG35;
+extern const size_t PATTERN_QUAD_ALIGNED35;
+extern const size_t PATTERN_QUAD_CHORD_UTURN;
+extern const size_t PATTERN_2CORNERS;
+extern const size_t PATTERN_1CORNER;
+extern const size_t PATTERN_DISK;
+
+/**
+ * @return the number of corners in the input pattern
+ */
+size_t patternNumberOfCorners(size_t pId);
+
+/**
+ * @brief Initialize the pattern datastructures from raw meshes.
+ * Must be called one-time before using remeshPatchWithQuadPattern()
+ *
+ * @return 0 if success
+ */
+int initQuadPatterns();
+
+/**
+ * @brief Get a vector with all the patterns.
+ *
+ * @return the pattern identifiers (see the list of patterns)
+ */
+std::vector<size_t> getAllLoadedPatterns();
+
+/**
+ * @brief Check if there is a topological quad mesh matching
+ * a given boundary, in the specified patterns.
+ * Mesh geometry is totally ignored in this function.
+ *
+ * @param[in] patternsToCheck The list of patterns to try
+ * @param[in] Ncorners The number of corners in the patch
+ * @param[in] sideSizes The number of edges on each side
+ * @param[out] patternNoAndRot If found, the pattern identifier and its associated rotation
+ * @param[out] irregularityMeasure If round, the topological irregularity measure of the pattern
+ *
+ * @return true if a matching is found
+ */
+bool patchIsRemeshableWithQuadPattern(
+ const std::vector<size_t>& patternsToCheck,
+ size_t Ncorners,
+ const std::vector<size_t>& sideSizes,
+ std::pair<size_t,int>& patternNoAndRot,
+ double& irregularityMeasure);
+
+
+/**
+ * @brief Look for the best topological disk quadrangulation remeshing
+ * which match the allowed valence ranges.
+ * Requires that the disk quadrangulation data is initialized, see initDiskQuadrangulations()
+ * The GFace mesh is not changed, the changes are stored in the diff
+ * which can executed by the caller.
+ *
+ * @param[in] gf CAD face containing the elements
+ * @param[in] patternNoAndRot If found, the pattern identifier and its associated rotation
+ * @param[in] sides The vertices on each side. Must be compatible with the output of
+ * patchIsRemeshableWithQuadPattern()
+ * @param[in] elements The old elements in the patch, may be empty
+ * @param[in] intVertices The old interior vertices in the patch, may empty
+ * @param[in] minSICNrequired Minimum SICN quality required in the remeshed patch.
+ * Compared after geometry untangling/smoothing.
+ * @param[in] invertNormalsForQuality The CAD normals are used to compute signed quality.
+ * This flag invert invert the CAD normals in the measure.
+ * @param[in] sp If not nullptr, the surface projector is used instead of the CAD parametrization
+ * in the smoothing. Required if there is no surface parametrization.
+ * @param[out] diff The mesh diff (to the GFace) containing the remeshing candidate
+ *
+ * @return 0 if success
+ */
+int remeshPatchWithQuadPattern(
+ GFace* gf,
+ const std::pair<size_t,int>& patternNoAndRot,
+ const std::vector<std::vector<MVertex*> > & sides,
+ const std::vector<MElement*> & elements,
+ const std::vector<MVertex*>& intVertices,
+ double minSICNrequired,
+ bool invertNormalsForQuality,
+ SurfaceProjector* sp,
+ GFaceMeshDiff& diff);
diff --git a/contrib/QuadMeshingTools/qmtSizeMap.cpp b/contrib/QuadMeshingTools/qmtSizeMap.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..f7f427de478e4b9929fe5774278186bf16b08893
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtSizeMap.cpp
@@ -0,0 +1,243 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#include "qmtSizeMap.h"
+
+/* System includes */
+#include <vector>
+#include <array>
+#include <unordered_map>
+#include <cstdint>
+#include <cmath>
+#include <queue>
+#include <algorithm>
+
+/* Gmsh includes */
+#include "GmshMessage.h"
+#include "OS.h"
+#include "GVertex.h"
+#include "GEdge.h"
+#include "GFace.h"
+#include "GModel.h"
+#include "MVertex.h"
+#include "Context.h"
+#include "MLine.h"
+#include "MTriangle.h"
+#include "BackgroundMesh.h"
+#include "gmsh.h" // debug
+
+/* QuadMeshingTools includes */
+#include "cppUtils.h"
+#include "qmtMeshUtils.h"
+
+using namespace CppUtils;
+
+namespace QMT {
+
+ void setMinimum(MVertex* v, std::unordered_map<MVertex*,double>& minSize,
+ double value) {
+ auto it = minSize.find(v);
+ if (it == minSize.end()) {
+ minSize[v] = value;
+ } else if (value < it->second) {
+ it->second = value;
+ }
+ }
+
+ inline double distance2(const SPoint3& a, const SPoint3& b) {
+ const double dx = a.x() - b.x();
+ const double dy = a.y() - b.y();
+ const double dz = a.z() - b.z();
+ return dx*dx+dy*dy+dz*dz;
+ }
+
+ inline double distance_point_segment_squared(const SPoint3& query, const SPoint3& a, const SPoint3& b) {
+ const double l2 = distance2(a,b);
+ const double t = dot(query-a,b-a);
+ if (t <= 0. || l2 == 0.) {
+ return distance2(query,a);
+ } else if (t > l2) {
+ return distance2(query,b);
+ }
+ const double lambda = 1. - t / l2;
+ SPoint3 proj(lambda * a + (1. - lambda) * b);
+ return distance2(query,proj);
+ }
+
+ double distanceToLines(const SPoint3& query, const std::vector<MLine>& lines) {
+ // warning: not very efficient ...
+ double mdist2 = DBL_MAX;
+ for (const MLine& l: lines) {
+ const MVertex* v1 = l.getVertex(0);
+ const MVertex* v2 = l.getVertex(1);
+ mdist2 = std::min(mdist2,distance_point_segment_squared(query,v1->point(),v2->point()));
+ }
+ return std::sqrt(mdist2);
+ }
+
+ double distanceToGEdgeBackgroundMesh(const SPoint3& query, GlobalBackgroundMesh& gbm, GEdge* ge) {
+ auto it = gbm.edgeBackgroundMeshes.find(ge);
+ if (it == gbm.edgeBackgroundMeshes.end()) {
+ Msg::Error("curve %i not found in background mesh, cannot compute distance to it", ge->tag());
+ return DBL_MAX;
+ }
+ return distanceToLines(query,it->second.lines);
+ }
+}
+
+using namespace QMT;
+
+int computeMinimalSizeOnCurves(
+ GlobalBackgroundMesh& gbm,
+ std::unordered_map<MVertex*,double>& minSize) {
+ Msg::Debug("compute minimal size on curves (using background mesh) ...");
+ /* Important information: all mesh elements are queried in the GlobalBackgroundMesh,
+ * not in the current GModel ! */
+
+ GModel* gm = gbm.gm;
+ if (gm == NULL) return -1;
+
+ /* Initialize minimal size on vertex associated to GVertex
+ * prescribed size */
+ for (MVertex* v: gbm.mesh_vertices) {
+ GVertex* gv = dynamic_cast<GVertex*>(v->onWhat());
+ if (gv == NULL) continue;
+ /* Mesh size */
+ double size = gv->prescribedMeshSizeAtVertex();
+ if (size > 0 && size < 1.e22) setMinimum(v, minSize, size);
+ }
+
+ std::unordered_map<GVertex*,std::vector<GEdge*> > gv2ge;
+ for (GEdge* ge: model_edges(gm)) for (GVertex* gv: ge->vertices()) {
+ gv2ge[gv].push_back(ge);
+ }
+ for (auto& kv: gv2ge) sort_unique(kv.second);
+
+ /* On curve vertices, minimum size is minimum of:
+ * - existing size
+ * - curve length
+ * - distance of projection to non adjacent curves */
+ for (GFace* gf: model_faces(gm)) {
+ for (GEdge* ge: face_edges(gf)) {
+ auto it = gbm.edgeBackgroundMeshes.find(ge);
+ if (it == gbm.edgeBackgroundMeshes.end()) {
+ Msg::Error("curve %i not found in background mesh", ge->tag());
+ continue;
+ }
+
+ /* Collect curve vertices, including extremities */
+ std::vector<MVertex*> curve_vertices;
+ for (MLine& e: it->second.lines) for (size_t lv: {0,1}) {
+ MVertex* v = e.getVertex(lv);
+ curve_vertices.push_back(v);
+ }
+ sort_unique(curve_vertices);
+
+ /* Collect non-adjacent curves */
+ std::vector<GEdge*> curvesAjacent;
+ for (GVertex* gv: ge->vertices()) {
+ for (GEdge* ge2: gv2ge[gv]) if (ge2 != ge) {
+ curvesAjacent.push_back(ge2);
+
+ if (ge2->length() <= CTX::instance()->geom.tolerance) { /* yes CAD is annoying ... */
+ for (GVertex* gv2: ge2->vertices()) {
+ for (GEdge* ge3: gv2ge[gv2]) if (ge3 != ge) {
+ curvesAjacent.push_back(ge3);
+ }
+ }
+ }
+ }
+ }
+ sort_unique(curvesAjacent);
+
+ std::vector<GEdge*> curvesNotAdjacent;
+ for (GFace* gf: ge->faces()) for (GEdge* ge2: gf->edges()) if (ge2 != ge) {
+ curvesNotAdjacent.push_back(ge2);
+ }
+ curvesNotAdjacent = difference(curvesNotAdjacent,curvesAjacent);
+ sort_unique(curvesNotAdjacent);
+
+ double len = ge->length();
+ for (MVertex* v: curve_vertices) {
+ double vMin = len; /* curve length */
+
+ /* Size: minimum of projection to non-adj curves */
+ for (GEdge* ge2: curvesNotAdjacent) {
+ /* Warning: testing all MLine, slow, should have kdtree acceleration */
+ double dist = distanceToGEdgeBackgroundMesh(v->point(), gbm, ge2);
+ if (vMin > 0) vMin = std::min(vMin, dist);
+ }
+
+ if (vMin > 0 && vMin < 1.e22) setMinimum(v, minSize, vMin);
+ }
+ }
+ }
+
+ return 0;
+}
+
+int sizeMapOneWaySmoothing(
+ const std::vector<MTriangle*>& triangles,
+ std::unordered_map<MVertex*,double>& values,
+ double gradientMax) {
+ Msg::Debug("one way smoothing of scalar field (%li triangles, %li values) ...",
+ triangles.size(), values.size());
+ if (triangles.size() == 0) return -1;
+ if (gradientMax <= 0.) return -1;
+
+ std::unordered_map<MVertex*, std::vector<MVertex*> > v2v;
+ buildVertexToVertexMap(triangles, v2v);
+
+ std::priority_queue<std::pair<double,MVertex*>, std::vector<std::pair<double,MVertex*> >, std::greater<std::pair<double,MVertex*> > > Q;
+ for (const auto& kv: values) {
+ Q.push({kv.second,kv.first});
+ }
+
+ /* Dijkstra propagation */
+ while (Q.size() > 0) {
+ MVertex* v = Q.top().second;
+ double cdist = Q.top().first;
+ Q.pop();
+ for (MVertex* v2: v2v[v]) {
+ double w_ij = v->distance(v2) * (gradientMax-1.);
+ auto it = values.find(v2);
+ if (it == values.end() || cdist + w_ij < it->second) {
+ double new_value = cdist + w_ij;
+ auto it2 = values.find(v2);
+ if (it2 != values.end() && new_value > it2->second) {
+ /* No need to propagate in regions where sizemap is
+ * already sufficiently fine */
+ continue;
+ }
+ values[v2] = new_value;
+ Q.push({new_value,v2});
+ }
+ }
+ }
+
+ return 0;
+}
+
+void quantileFiltering(std::unordered_map<MVertex*,double>& scaling, double critera) {
+ std::vector<double> values(scaling.size());
+ size_t count = 0;
+ for (auto& kv: scaling) {
+ values[count] = kv.second;
+ count += 1;
+ }
+ std::sort(values.begin(),values.end());
+ size_t n = values.size();
+ double clamp_min = values[size_t(critera*double(n))];
+ double clamp_max = values[size_t((1.-critera)*double(n))];
+ for (auto& kv: scaling) {
+ if (kv.second < clamp_min) {
+ kv.second = clamp_min;
+ } else if (kv.second > clamp_max) {
+ kv.second = clamp_max;
+ }
+ }
+}
diff --git a/contrib/QuadMeshingTools/qmtSizeMap.h b/contrib/QuadMeshingTools/qmtSizeMap.h
new file mode 100644
index 0000000000000000000000000000000000000000..115d377bb5f8d363aa25035b679a31a7484176b7
--- /dev/null
+++ b/contrib/QuadMeshingTools/qmtSizeMap.h
@@ -0,0 +1,64 @@
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
+//
+// See the LICENSE.txt file for license information. Please report all
+// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
+//
+// Author: Maxence Reberol
+
+#pragma once
+
+#include <vector>
+#include <array>
+#include <unordered_map>
+#include <string>
+
+class MVertex;
+class MTriangle;
+class GModel;
+class GlobalBackgroundMesh;
+
+/**
+ * @brief Compute minimal size values on curve vertices. This the minimum of:
+ * - the current curve length
+ * - the distance to other non-adjacent curves
+ * - the prescribed mesh size
+ *
+ * @param[in] gbm Background mesh on which to compute the minimal sizes
+ * @param[out] minSize the minimal distance, for each MVertex of GVertex / GEdge
+ *
+ * @return 0 if success
+ */
+int computeMinimalSizeOnCurves(
+ GlobalBackgroundMesh& gbm,
+ std::unordered_map<MVertex*,double>& minSize);
+
+
+
+/**
+ * @brief One way smoothing to get a smooth scalar field where
+ * the gradient is inferior to gradientMax, the output
+ * verify:
+ * v2 = min(v2, v1 + gradientMax * d(x1,v2))
+ * for all edge v1-v2 in the triangles. The propagation is
+ * computed with a Dijkstra-like algorithm.
+ *
+ * @param triangles The triangulation on which to extract the edges for Dijkstra
+ * @param values The scalar field to smooth
+ * @param gradientMax The maximum gradient in the ouput, typical range is [1, 1.4]
+ * for meshing
+ *
+ * @return 0 if success
+ */
+int sizeMapOneWaySmoothing(
+ const std::vector<MTriangle*>& triangles,
+ std::unordered_map<MVertex*,double>& values,
+ double gradientMax = 1.2);
+
+
+/**
+ * @brief Remove extremities in the histogram
+ *
+ * @param scaling the values on which to apply the filtering
+ * @param critera keep values which are in [critera,1-critera] in the histogram
+ */
+void quantileFiltering(std::unordered_map<MVertex*,double>& scaling, double critera);
diff --git a/contrib/QuadMeshingTools/row_echelon_integer.cpp b/contrib/QuadMeshingTools/row_echelon_integer.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..41614965ca010214c13a75f555c91bc9bc919815
--- /dev/null
+++ b/contrib/QuadMeshingTools/row_echelon_integer.cpp
@@ -0,0 +1,1734 @@
+/* Author: John Burkardt
+ * Link: https://people.sc.fsu.edu/~jburkardt/cpp_src/row_echelon_integer/row_echelon_integer.html
+ * License: The computer code and data files made available on this web page are distributed under the GNU LGPL license.
+ * https://www.gnu.org/licenses/lgpl-3.0.en.html */
+
+# include <cmath>
+# include <cstdlib>
+# include <cstring>
+# include <ctime>
+# include <iomanip>
+# include <iostream>
+
+using namespace std;
+
+# include "row_echelon_integer.hpp"
+
+//****************************************************************************80
+
+int i4_gcd ( int i, int j )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4_GCD finds the greatest common divisor of two I4's.
+//
+// Discussion:
+//
+// Note that only the absolute values of I and J are
+// considered, so that the result is always nonnegative.
+//
+// If I or J is 0, I4_GCD is returned as max ( 1, abs ( I ), abs ( J ) ).
+//
+// If I and J have no common factor, I4_GCD is returned as 1.
+//
+// Otherwise, using the Euclidean algorithm, I4_GCD is the
+// greatest common divisor of I and J.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 25 March 2004
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int I, J, two numbers whose GCD is desired.
+//
+// Output, int I4_GCD, the greatest common divisor of I and J.
+//
+{
+ int p;
+ int q;
+ int r;
+//
+// Return immediately if either I or J is zero.
+//
+ if ( i == 0 )
+ {
+ q = i4_max ( 1, abs ( j ) );
+ return q;
+ }
+ else if ( j == 0 )
+ {
+ q = i4_max ( 1, abs ( i ) );
+ return q;
+ }
+//
+// Set IP to the larger of I and J, IQ to the smaller.
+// This way, we can alter IP and IQ as we go.
+//
+ p = i4_max ( abs ( i ), abs ( j ) );
+ q = i4_min ( abs ( i ), abs ( j ) );
+//
+// Carry out the Euclidean algorithm.
+//
+ for ( ; ; )
+ {
+ r = p % q;
+
+ if ( r == 0 )
+ {
+ break;
+ }
+ p = q;
+ q = r;
+ }
+
+ return q;
+}
+//****************************************************************************80
+
+int i4_max ( int i1, int i2 )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4_MAX returns the maximum of two I4's.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 13 October 1998
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int I1, I2, are two integers to be compared.
+//
+// Output, int I4_MAX, the larger of I1 and I2.
+//
+{
+ int value;
+
+ if ( i2 < i1 )
+ {
+ value = i1;
+ }
+ else
+ {
+ value = i2;
+ }
+ return value;
+}
+//****************************************************************************80
+
+int i4_min ( int i1, int i2 )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4_MIN returns the minimum of two I4's.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 13 October 1998
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int I1, I2, two integers to be compared.
+//
+// Output, int I4_MIN, the smaller of I1 and I2.
+//
+{
+ int value;
+
+ if ( i1 < i2 )
+ {
+ value = i1;
+ }
+ else
+ {
+ value = i2;
+ }
+ return value;
+}
+//****************************************************************************80
+
+void i4mat_print ( int m, int n, int a[], string title )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4MAT_PRINT prints an I4MAT.
+//
+// Discussion:
+//
+// An I4MAT is an MxN array of I4's, stored by (I,J) -> [I+J*M].
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 10 September 2009
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int M, the number of rows in A.
+//
+// Input, int N, the number of columns in A.
+//
+// Input, int A[M*N], the M by N matrix.
+//
+// Input, string TITLE, a title.
+//
+{
+ i4mat_print_some ( m, n, a, 1, 1, m, n, title );
+
+ return;
+}
+//****************************************************************************80
+
+void i4mat_print_some ( int m, int n, int a[], int ilo, int jlo, int ihi,
+ int jhi, string title )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4MAT_PRINT_SOME prints some of an I4MAT.
+//
+// Discussion:
+//
+// An I4MAT is an MxN array of I4's, stored by (I,J) -> [I+J*M].
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 20 August 2010
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int M, the number of rows of the matrix.
+// M must be positive.
+//
+// Input, int N, the number of columns of the matrix.
+// N must be positive.
+//
+// Input, int A[M*N], the matrix.
+//
+// Input, int ILO, JLO, IHI, JHI, designate the first row and
+// column, and the last row and column to be printed.
+//
+// Input, string TITLE, a title.
+//
+{
+# define INCX 10
+
+ int i;
+ int i2hi;
+ int i2lo;
+ int j;
+ int j2hi;
+ int j2lo;
+
+ cout << "\n";
+ cout << title << "\n";
+
+ if ( m <= 0 || n <= 0 )
+ {
+ cout << "\n";
+ cout << " (None)\n";
+ return;
+ }
+//
+// Print the columns of the matrix, in strips of INCX.
+//
+ for ( j2lo = jlo; j2lo <= jhi; j2lo = j2lo + INCX )
+ {
+ j2hi = j2lo + INCX - 1;
+ if ( n < j2hi )
+ {
+ j2hi = n;
+ }
+ if ( jhi < j2hi )
+ {
+ j2hi = jhi;
+ }
+
+ cout << "\n";
+//
+// For each column J in the current range...
+//
+// Write the header.
+//
+ cout << " Col:";
+ for ( j = j2lo; j <= j2hi; j++ )
+ {
+ cout << " " << setw(6) << j - 1;
+ }
+ cout << "\n";
+ cout << " Row\n";
+ cout << "\n";
+//
+// Determine the range of the rows in this strip.
+//
+ if ( 1 < ilo )
+ {
+ i2lo = ilo;
+ }
+ else
+ {
+ i2lo = 1;
+ }
+ if ( ihi < m )
+ {
+ i2hi = ihi;
+ }
+ else
+ {
+ i2hi = m;
+ }
+
+
+ for ( i = i2lo; i <= i2hi; i++ )
+ {
+//
+// Print out (up to INCX) entries in row I, that lie in the current strip.
+//
+ cout << setw(5) << i - 1 << ":";
+ for ( j = j2lo; j <= j2hi; j++ )
+ {
+ cout << " " << setw(6) << a[i-1+(j-1)*m];
+ }
+ cout << "\n";
+ }
+ }
+
+ return;
+# undef INCX
+}
+//****************************************************************************80
+
+int i4mat_ref ( int m, int n, int a[] )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4MAT_REF computes the integer row echelon form (IREF) of an I4MAT.
+//
+// Discussion:
+//
+// If a matrix A contains only integer entries, then when it is reduced
+// to row echelon form, it is likely that many entries will no longer
+// be integers, due to the elimination process.
+//
+// In some cases, tiny arithmetic errors in this elimination process can
+// result in spurious, tiny nonzero values which can invalidate the
+// calculation, particular if the elimination is being done in an effort
+// to determine the rank of the matrix. These serious errors can easily
+// occur in very small matrices, such as of size 7x10.
+//
+// If we, instead, insist on using only integer operations on an integer
+// matrix, we can guarantee that tiny roundoff errors will not cause
+// such problems. On the other hand, as the elimination process proceeds,
+// we may instead calculate integer matrix entries of increasingly
+// large, and then ultimately meaningless magnitude. I imagine this is
+// likely to happen for moderate size matrices of order 50x50, say, but
+// this is a huge improvement over the unreliability of the real
+// arithmetic case.
+//
+//
+// Thus, we define "integer row echelon form" (IREF).
+//
+//
+// A matrix is in integer row echelon form if:
+//
+// * The leading nonzero in each row is positive.
+//
+// * Each row has no common factor greater than 1.
+//
+// * The leading nonzero in each row occurs in a column to
+// the right of the leading nonzero in the previous row.
+//
+// * Rows which are entirely zero occur last.
+//
+// Example:
+//
+// Input matrix:
+//
+// 1 3 0 2 6 3 1
+// -2 -6 0 -2 -8 3 1
+// 3 9 0 0 6 6 2
+// -1 -3 0 1 0 9 3
+//
+// Output matrix:
+//
+// 1 3 0 2 6 3 1
+// 0 0 0 2 4 9 3
+// 0 0 0 0 0 3 1
+// 0 0 0 0 0 0 0
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 26 August 2018
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int M, N, the number of rows and columns of
+// the matrix A.
+//
+// Input/output, int A[M*N]. On input, the matrix to be
+// analyzed. On output, the IREF form of the matrix.
+//
+// Output, int I4MAT_REF, the pseudo-determinant.
+//
+{
+ int det;
+ int i;
+ int j;
+ int lead;
+ int r;
+ int *row;
+ int t;
+
+ det = 1;
+ lead = 0;
+
+ row = new int[n];
+
+ for ( r = 0; r < m; r++ )
+ {
+ if ( n - 1 < lead )
+ {
+ break;
+ }
+//
+// Start I at row R, and search for nonzero pivot entry A(I,LEAD).
+//
+ i = r;
+
+ while ( a[i+lead*m] == 0 )
+ {
+ i = i + 1;
+//
+// If reach last row, reset I to R, and increment LEAD.
+//
+ if ( m - 1 < i )
+ {
+ i = r;
+ lead = lead + 1;
+//
+// If reach last column, we can find no more pivots.
+//
+ if ( n - 1 < lead )
+ {
+ lead = -1;
+ break;
+ }
+ }
+ }
+
+ if ( lead < 0 )
+ {
+ break;
+ }
+//
+// Move pivot I into row R.
+//
+ if ( i != r )
+ {
+ for ( j = 0; j < n; j++ )
+ {
+ t = a[i+j*m];
+ a[i+j*m] = a[r+j*m];
+ a[r+j*m] = t;
+ }
+ }
+//
+// Ensure pivot is positive.
+//
+ if ( a[r+lead*m] < 0 )
+ {
+ for ( j = 0; j < n; j++ )
+ {
+ a[r+j*m] = - a[r+j*m];
+ }
+ det = - det;
+ }
+//
+// Update the pseudo-determinant.
+//
+ det = det * a[r+lead*m];
+//
+// Remove any common factor from row R.
+//
+ for ( j = 0; j < n; j++ )
+ {
+ row[j] = a[r+j*m];
+ }
+ i4vec_red ( n, row );
+ for ( j = 0; j < n; j++ )
+ {
+ a[r+j*m] = row[j];
+ }
+//
+// Use a multiple of A(R,LEAD) to eliminate A(R+1:M,LEAD).
+//
+ for ( i = r + 1; i < m; i++ )
+ {
+ t = a[i+lead*m];
+ for ( j = 0; j < n; j++ )
+ {
+ a[i+j*m] = a[r+lead*m] * a[i+j*m] - t * a[r+j*m];
+ }
+
+ for ( j = 0; j < n; j++ )
+ {
+ row[j] = a[i+j*m];
+ }
+ i4vec_red ( n, row );
+ for ( j = 0; j < n; j++ )
+ {
+ a[i+j*m] = row[j];
+ }
+ }
+ lead = lead + 1;
+ }
+
+ delete [] row;
+
+ return det;
+}
+//****************************************************************************80
+
+void i4mat_row_reduce ( int m, int n, int i, int a[] )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4MAT_ROW_REDUCE divides out common factors in row I of an I4MAT.
+//
+// Discussion:
+//
+// An I4MAT is an MxN array of I4's, stored by (I,J) -> [I+J*M].
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 27 August 2018
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int M, the number of rows in the matrix.
+//
+// Input, int N, the number of columns in the matrix.
+//
+// Input, int I, the row to be reduced. 0 <= I < M.
+//
+// Input/output, int A[M*N], on input, the matrix whose
+// row is to be reduced. On output, row I of the matrix has been reduced.
+//
+{
+ int j;
+ int *row;
+//
+// Remove factors common to a row.
+//
+ row = new int[n];
+
+ for ( j = 0; j < n; j++ )
+ {
+ row[j] = a[i+j*m];
+ }
+
+ i4vec_red ( n, row );
+
+ for ( j = 0; j < n; j++ )
+ {
+ a[i+j*m] = row[j];
+ }
+
+ delete [] row;
+
+ return;
+}
+//****************************************************************************80
+
+void i4mat_row_swap ( int m, int n, int a[], int i1, int i2 )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4MAT_ROW_SWAP swaps rows in an I4MAT.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 09 September 2018
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int M, N, the number of rows and columns.
+//
+// Input/output, int A[M*N].
+// On input, the matrix to be modified.
+// On output, two rows have been swapped.
+//
+// Input, int I1, I2, the indices of the rows.
+// 0 <= I1, I2 < M.
+//
+{
+ int j;
+ int t;
+
+ if ( i1 == i2 )
+ {
+ return;
+ }
+
+ if ( i1 < 0 || m <= i1 )
+ {
+ cout << "\n";
+ cout << "I4MAT_ROW_SWAP - Fatal error!\n";
+ cout <<" Row index 0 <= I1 < M required.\n";
+ exit ( 1 );
+ }
+
+ if ( i2 < 0 || m <= i2 )
+ {
+ cout << "\n";
+ cout << "I4MAT_ROW_SWAP - Fatal error!\n";
+ cout << " Row index 0 <= I2 < M required.\n";
+ exit ( 1 );
+ }
+
+ for ( j = 0; j < n; j++ )
+ {
+ t = a[i1+j*m];
+ a[i1+j*m] = a[i2+j*m];
+ a[i2+j*m] = t;
+ }
+
+ return;
+}
+//****************************************************************************80
+
+int i4mat_rref ( int m, int n, int a[] )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4MAT_RREF: the integer row reduced echelon form (IRREF) of an I4MAT.
+//
+// Discussion:
+//
+// If a matrix A contains only integer entries, then when it is reduced
+// to row echelon form, it is likely that many entries will no longer
+// be integers, due to the elimination process.
+//
+// In some cases, tiny arithmetic errors in this elimination process can
+// result in spurious, tiny nonzero values which can invalidate the
+// calculation, particular if the elimination is being done in an effort
+// to determine the rank of the matrix. These serious errors can easily
+// occur in very small matrices, such as of size 7x10.
+//
+// If we, instead, insist on using only integer operations on an integer
+// matrix, we can guarantee that tiny roundoff errors will not cause
+// such problems. On the other hand, as the elimination process proceeds,
+// we may instead calculate integer matrix entries of increasingly
+// large, and then ultimately meaningless magnitude. I imagine this is
+// likely to happen for moderate size matrices of order 50x50, say, but
+// this is a huge improvement over the unreliability of the real
+// arithmetic case.
+//
+//
+// Thus, we define "integer row reduced echelon form" (IRREF).
+//
+//
+// A matrix is in integer row reduced echelon form if:
+//
+// * The leading nonzero in each row is positive.
+//
+// * Each row has no common factor greater than 1.
+//
+// * The leading nonzero in each row occurs in a column to
+// the right of the leading nonzero in the previous row.
+//
+// * Rows which are entirely zero occur last.
+//
+// * When a row contains a leading nonzero in column J, then column J
+// is otherwise entirely zero.
+//
+// Example:
+//
+// Input matrix:
+//
+// 1 3 0 2 6 3 1
+// -2 -6 0 -2 -8 3 1
+// 3 9 0 0 6 6 2
+// -1 -3 0 1 0 9 3
+//
+// Output matrix:
+//
+// 1 3 0 0 2 0 0
+// 0 0 0 1 2 0 0
+// 0 0 0 0 0 3 1
+// 0 0 0 0 0 0 0
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 19 September 2018
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int M, N, the number of rows and columns of
+// the matrix A.
+//
+// Input/output, int A[M*N]. On input, the matrix to be
+// analyzed. On output, the IRREF form of the matrix.
+//
+// Output, int I4MAT_RREF, the pseudo-determinant.
+//
+{
+ int det;
+ int i;
+ int j;
+ int lead;
+ int r;
+ int *row;
+ int t;
+
+ det = 1;
+ lead = 0;
+
+ row = new int[n];
+
+ for ( r = 0; r < m; r++ )
+ {
+ if ( n - 1 < lead )
+ {
+ break;
+ }
+//
+// Start I at row R, and search for nonzero pivot entry A(I,LEAD).
+//
+ i = r;
+
+ while ( a[i+lead*m] == 0 )
+ {
+ i = i + 1;
+//
+// If reach last row, reset I to R, and increment LEAD.
+//
+ if ( m - 1 < i )
+ {
+ i = r;
+ lead = lead + 1;
+//
+// If reach last column, we can find no more pivots.
+//
+ if ( n - 1 < lead )
+ {
+ lead = -1;
+ break;
+ }
+ }
+ }
+
+ if ( lead < 0 )
+ {
+ break;
+ }
+//
+// Move pivot I into row R.
+//
+ if ( i != r )
+ {
+ for ( j = 0; j < n; j++ )
+ {
+ t = a[i+j*m];
+ a[i+j*m] = a[r+j*m];
+ a[r+j*m] = t;
+ }
+ }
+//
+// Ensure pivot is positive.
+//
+ if ( a[r+lead*m] < 0 )
+ {
+ for ( j = 0; j < n; j++ )
+ {
+ a[r+j*m] = - a[r+j*m];
+ }
+ det = - det;
+ }
+//
+// Update the pseudo-determinant.
+//
+ det = det * a[r+lead*m];
+//
+// Remove any common factor from row R.
+//
+ for ( j = 0; j < n; j++ )
+ {
+ row[j] = a[r+j*m];
+ }
+ i4vec_red ( n, row );
+ for ( j = 0; j < n; j++ )
+ {
+ a[r+j*m] = row[j];
+ }
+//
+// Use a multiple of A(R,LEAD) to eliminate A(1:M,LEAD).
+//
+ for ( i = 0; i < m; i++ )
+ {
+ if ( i != r )
+ {
+ t = a[i+lead*m];
+ for ( j = 0; j < n; j++ )
+ {
+ a[i+j*m] = a[r+lead*m] * a[i+j*m] - t * a[r+j*m];
+ }
+
+ for ( j = 0; j < n; j++ )
+ {
+ row[j] = a[i+j*m];
+ }
+ i4vec_red ( n, row );
+ for ( j = 0; j < n; j++ )
+ {
+ a[i+j*m] = row[j];
+ }
+ }
+ }
+ lead = lead + 1;
+ }
+
+ delete [] row;
+
+ return det;
+}
+//****************************************************************************80
+
+double *i4mat_u_solve ( int n, int a[], int b[] )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4MAT_U_SOLVE solves an upper triangular linear system.
+//
+// Discussion:
+//
+// An I4MAT is an MxN array of I4's, stored by (I,J) -> [I+J*M].
+//
+// Note that the solution is returned as a real vector.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 26 August 2018
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int N, the number of rows and columns of
+// the matrix A.
+//
+// Input, int A[N*N], the N by N upper triangular matrix.
+//
+// Input, int B[N], the right hand side of the linear system.
+//
+// Output, double I4MAT_U_SOLVE[N], the solution of the linear system.
+//
+{
+ int i;
+ int j;
+ double *x;
+//
+// Solve U * x = b.
+//
+ x = new double[n];
+
+ for ( i = n - 1; 0 <= i; i-- )
+ {
+ x[i] = ( double ) b[i];
+ for ( j = i + 1; j < n; j++ )
+ {
+ x[i] = x[i] - ( double ) a[i+j*n] * x[j];
+ }
+ x[i] = x[i] / ( double ) a[i+i*n];
+ }
+
+ return x;
+}
+//****************************************************************************80
+
+void i4vec_binary_next ( int n, int bvec[] )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4VEC_BINARY_NEXT generates the next binary vector.
+//
+// Discussion:
+//
+// The vectors have the order
+//
+// (0,0,...,0),
+// (0,0,...,1),
+// ...
+// (1,1,...,1)
+//
+// and the "next" vector after (1,1,...,1) is (0,0,...,0). That is,
+// we allow wrap around.
+//
+// Example:
+//
+// N = 3
+//
+// Input Output
+// ----- ------
+// 0 0 0 => 0 0 1
+// 0 0 1 => 0 1 0
+// 0 1 0 => 0 1 1
+// 0 1 1 => 1 0 0
+// 1 0 0 => 1 0 1
+// 1 0 1 => 1 1 0
+// 1 1 0 => 1 1 1
+// 1 1 1 => 0 0 0
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 31 March 2018
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int N, the dimension of the vectors.
+//
+// Input, int BVEC[N], the vector whose successor is desired.
+//
+// Output, int BVEC[N], the successor to the input vector.
+//
+{
+ int i;
+
+ for ( i = n - 1; 0 <= i; i-- )
+ {
+ if ( bvec[i] == 0 )
+ {
+ bvec[i] = 1;
+ return;
+ }
+ bvec[i] = 0;
+ }
+
+ return;
+}
+//****************************************************************************80
+
+bool i4vec_is_binary ( int n, int x[] )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4VEC_IS_BINARY is true if the entries in an I4VEC are all 0 or 1.
+//
+// Discussion:
+//
+// An I4VEC is a vector of I4's.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 31 March 2018
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int N, the number of entries in the vector.
+//
+// Input, int X[N], the vector to be checked.
+//
+// Output, bool I4VEC_IS_BINARY is true if all N elements of X
+// are 0 or 1.
+//
+{
+ int i;
+ bool value;
+
+ value = true;
+
+ for ( i = 0; i < n; i++ )
+ {
+ if ( x[i] != 0 && x[i] != 1 )
+ {
+ value = false;
+ break;
+ }
+ }
+
+ return value;
+}
+//****************************************************************************80
+
+bool i4vec_is_one ( int n, int x[] )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4VEC_IS_ONE is true if the entries in an I4VEC are all 1.
+//
+// Discussion:
+//
+// An I4VEC is a vector of I4's.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 31 March 2018
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int N, the number of entries in the vector.
+//
+// Input, int X[N], the vector to be checked.
+//
+// Output, bool I4VEC_IS_ONE is true if all N elements of X
+// are 1.
+//
+{
+ int i;
+ bool value;
+
+ value = true;
+
+ for ( i = 0; i < n; i++ )
+ {
+ if ( x[i] != 1 )
+ {
+ value = false;
+ break;
+ }
+ }
+
+ return value;
+}
+//****************************************************************************80
+
+void i4vec_print ( int n, int a[], string title )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4VEC_PRINT prints an I4VEC.
+//
+// Discussion:
+//
+// An I4VEC is a vector of I4's.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 14 November 2003
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int N, the number of components of the vector.
+//
+// Input, int A[N], the vector to be printed.
+//
+// Input, string TITLE, a title.
+//
+{
+ int i;
+
+ cout << "\n";
+ cout << title << "\n";
+ cout << "\n";
+ for ( i = 0; i < n; i++ )
+ {
+ cout << " " << setw(8) << i
+ << ": " << setw(8) << a[i] << "\n";
+ }
+ return;
+}
+//****************************************************************************80
+
+int i4vec_red ( int n, int a[] )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4VEC_RED divides out common factors in an I4VEC.
+//
+// Discussion:
+//
+// An I4VEC is a vector of I4's.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 25 September 2005
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int N, the number of entries in the vector.
+//
+// Input/output, int A[N], the vector to be reduced.
+// On output, the entries have no common factor
+// greater than 1.
+//
+// Output, int I4VEC_RED, the common factor that was divided out.
+//
+{
+ int factor;
+ int i;
+//
+// Find the smallest nonzero value.
+//
+ factor = 0;
+
+ for ( i = 0; i < n; i++ )
+ {
+ if ( a[i] != 0 )
+ {
+ if ( factor == 0 )
+ {
+ factor = abs ( a[i] );
+ }
+ else if ( abs ( a[i] ) < factor )
+ {
+ factor = abs ( a[i] );
+ }
+ }
+ }
+
+ if ( factor == 0 )
+ {
+ return factor;
+ }
+//
+// Find the greatest common factor of the entire vector.
+//
+ for ( i = 0; i < n; i++ )
+ {
+ factor = i4_gcd ( a[i], factor );
+ }
+
+ if ( factor == 1 )
+ {
+ return factor;
+ }
+//
+// Divide out the common factor.
+//
+ for ( i = 0; i < n; i++ )
+ {
+ a[i] = a[i] / factor;
+ }
+
+ return factor;
+}
+//****************************************************************************80
+
+void i4vec_transpose_print ( int n, int a[], string title )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// I4VEC_TRANSPOSE_PRINT prints an I4VEC "transposed".
+//
+// Discussion:
+//
+// An I4VEC is a vector of I4's.
+//
+// Example:
+//
+// A = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 }
+// TITLE = "My vector: "
+//
+// My vector: 1 2 3 4 5
+// 6 7 8 9 10
+// 11
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 03 July 2004
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int N, the number of components of the vector.
+//
+// Input, int A[N], the vector to be printed.
+//
+// Input, string TITLE, a title.
+//
+{
+ int i;
+ int ihi;
+ int ilo;
+ int title_len;
+
+ title_len = title.length ( );
+
+ if ( 0 < title_len )
+ {
+ cout << "\n";
+ cout << title << "\n";
+ }
+
+ if ( 0 < n )
+ {
+ for ( ilo = 1; ilo <= n; ilo = ilo + 5 )
+ {
+ ihi = ilo + 5 - 1;
+ if ( n < ihi )
+ {
+ ihi = n;
+ }
+ for ( i = ilo; i <= ihi; i++ )
+ {
+ cout << setw(12) << a[i-1];
+ }
+ cout << "\n";
+ }
+ }
+ else
+ {
+ cout << " (empty vector)\n";
+ }
+
+ return;
+}
+//****************************************************************************80
+
+void ksub_next4 ( int n, int k, int a[], bool &done )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// KSUB_NEXT4 generates the subsets of size K from a set of size N.
+//
+// Discussion:
+//
+// The subsets are generated one at a time.
+//
+// The routine should be used by setting DONE to TRUE, and then calling
+// repeatedly. Each call returns with DONE equal to FALSE, the array
+// A contains information defining a new subset. When DONE returns
+// equal to TRUE, there are no more subsets.
+//
+// There are ( N*(N-1)*...*(N+K-1)) / ( K*(K-1)*...*2*1) such subsets.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 23 August 2018
+//
+// Author:
+//
+// Original FORTRAN77 version by Albert Nijenhuis, Herbert Wilf.
+// C++ version by John Burkardt.
+//
+// Reference:
+//
+// Albert Nijenhuis, Herbert Wilf,
+// Combinatorial Algorithms for Computers and Calculators,
+// Second Edition,
+// Academic Press, 1978,
+// ISBN: 0-12-519260-6,
+// LC: QA164.N54.
+//
+// Parameters:
+//
+// Input, int N, the size of the entire set.
+//
+// Input, int K, the size of the desired subset. K must be
+// between 0 and N.
+//
+// Input/output, int A[K], contains information about
+// the subsets. On the first call with DONE = TRUE, the input contents
+// of A don't matter. Thereafter, the input value of A
+// should be the same as the output value of the previous call.
+// In other words, leave the array alone!
+// On output, as long as DONE is returned FALSE, A contains
+// information defining a subset of K elements of a set of N elements.
+// In other words, A will contain K distinct numbers (in order)
+// between 1 and N.
+//
+// Input/output, bool &DONE.
+// On the first call, DONE is an input quantity with a value
+// of TRUE which tells the program to initialize data and
+// return the first subset.
+// On return, DONE is an output quantity that is TRUE as long as
+// the routine is returning another subset, and FALSE when
+// there are no more.
+//
+{
+ int j;
+ int jsave;
+
+ if ( k < 0 )
+ {
+ cerr << "\n";
+ cerr << "KSUB_NEXT4 - Fatal error!\n";
+ cerr << " K = " << k << "\n";
+ cerr << " but 0 <= K is required!\n";
+ exit ( 1 );
+ }
+
+ if ( n < k )
+ {
+ cerr << "\n";
+ cerr << "KSUB_NEXT4 - Fatal error!\n";
+ cerr << " N = " << n << "\n";
+ cerr << " K = " << k << "\n";
+ cerr << " but K <= N is required!\n";
+ exit ( 1 );
+ }
+
+//
+// First call:
+//
+ if ( done )
+ {
+ for ( j = 0; j < k; j++ )
+ {
+ a[j] = j + 1;
+ }
+ done = false;
+ }
+//
+// Empty set returned on previous call.
+//
+ else if ( n == 0 || k == 0 )
+ {
+ done = true;
+ }
+//
+// Next call.
+//
+ else if ( a[0] < n - k + 1 )
+ {
+ jsave = k - 1;
+
+ for ( j = 0; j < k - 1; j++ )
+ {
+ if ( a[j] + 1 < a[j+1] )
+ {
+ jsave = j;
+ break;
+ }
+ }
+ for ( j = 0; j < jsave; j++ )
+ {
+ a[j] = j + 1;
+ }
+ a[jsave] = a[jsave] + 1;
+ done = false;
+ }
+ else
+ {
+ done = true;
+ }
+ return;
+}
+//****************************************************************************80
+
+bool r8vec_is_integer ( int n, double a[] )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// R8VEC_IS_INTEGER is TRUE if an R8VEC is integral.
+//
+// Discussion:
+//
+// An R8VEC is a vector of R8's.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 03 October 2005
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int N, the number of entries in A.
+//
+// Input, double A[N], the vector
+//
+// Output, bool R8VEC_IS_INTEGER, is TRUE if every entry is an integer.
+//
+{
+ int i;
+ bool value;
+
+ value = true;
+
+ for ( i = 0; i < n; i++ )
+ {
+ if ( a[i] != ( double ) ( int ) a[i] )
+ {
+ value = false;
+ break;
+ }
+ }
+ return value;
+}
+//****************************************************************************80
+
+void r8vec_print ( int n, double a[], string title )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// R8VEC_PRINT prints an R8VEC.
+//
+// Discussion:
+//
+// An R8VEC is a vector of R8's.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 16 August 2004
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int N, the number of components of the vector.
+//
+// Input, double A[N], the vector to be printed.
+//
+// Input, string TITLE, a title.
+//
+{
+ int i;
+
+ cout << "\n";
+ cout << title << "\n";
+ cout << "\n";
+ for ( i = 0; i < n; i++ )
+ {
+ cout << " " << setw(8) << i
+ << ": " << setw(14) << a[i] << "\n";
+ }
+
+ return;
+}
+//****************************************************************************80
+
+void r8vec_transpose_print ( int n, double a[], string title )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// R8VEC_TRANSPOSE_PRINT prints an R8VEC "transposed".
+//
+// Discussion:
+//
+// An R8VEC is a vector of R8's.
+//
+// Example:
+//
+// A = (/ 1.0, 2.1, 3.2, 4.3, 5.4, 6.5, 7.6, 8.7, 9.8, 10.9, 11.0 /)
+// TITLE = 'My vector: '
+//
+// My vector: 1.0 2.1 3.2 4.3 5.4
+// 6.5 7.6 8.7 9.8 10.9
+// 11.0
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 11 May 2014
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, int N, the number of components of the vector.
+//
+// Input, double A[N], the vector to be printed.
+//
+// Input, string TITLE, a title.
+//
+{
+ int i;
+ int ihi;
+ int ilo;
+ int title_length;
+
+ title_length = s_len_trim ( title );
+
+ for ( ilo = 0; ilo < n; ilo = ilo + 5 )
+ {
+ if ( ilo == 0 )
+ {
+ cout << title;
+ }
+ else
+ {
+ for ( i = 0; i < title_length; i++ )
+ {
+ cout << " ";
+ }
+ }
+ cout << " ";
+ ihi = i4_min ( ilo + 5, n );
+ for ( i = ilo; i < ihi; i++ )
+ {
+ cout << " " << setw(12) << a[i];
+ }
+ cout << "\n";
+ }
+
+ return;
+}
+//****************************************************************************80
+
+int s_len_trim ( string s )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// S_LEN_TRIM returns the length of a string to the last nonblank.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 05 July 2009
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, string S, a string.
+//
+// Output, int S_LEN_TRIM, the length of the string to the last nonblank.
+// If S_LEN_TRIM is 0, then the string is entirely blank.
+//
+{
+ int n;
+
+ n = s.length ( );
+
+ while ( 0 < n )
+ {
+ if ( s[n-1] != ' ' )
+ {
+ return n;
+ }
+ n = n - 1;
+ }
+
+ return n;
+}
+//****************************************************************************80
+
+void timestamp ( )
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// TIMESTAMP prints the current YMDHMS date as a time stamp.
+//
+// Example:
+//
+// 31 May 2001 09:45:54 AM
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 08 July 2009
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// None
+//
+{
+# define TIME_SIZE 40
+
+ static char time_buffer[TIME_SIZE];
+ const struct std::tm *tm_ptr;
+ std::time_t now;
+
+ now = std::time ( NULL );
+ tm_ptr = std::localtime ( &now );
+
+ std::strftime ( time_buffer, TIME_SIZE, "%d %B %Y %I:%M:%S %p", tm_ptr );
+
+ std::cout << time_buffer << "\n";
+
+ return;
+# undef TIME_SIZE
+}
+
diff --git a/contrib/QuadMeshingTools/row_echelon_integer.hpp b/contrib/QuadMeshingTools/row_echelon_integer.hpp
new file mode 100644
index 0000000000000000000000000000000000000000..3de8630c2a94134c0a58fb449004c36d41b92738
--- /dev/null
+++ b/contrib/QuadMeshingTools/row_echelon_integer.hpp
@@ -0,0 +1,31 @@
+/* Author: John Burkardt
+ * Link: https://people.sc.fsu.edu/~jburkardt/cpp_src/row_echelon_integer/row_echelon_integer.html
+ * License: The computer code and data files made available on this web page are distributed under the GNU LGPL license.
+ * https://www.gnu.org/licenses/lgpl-3.0.en.html */
+
+#include <string>
+
+int i4_gcd ( int i, int j );
+int i4_max ( int i1, int i2 );
+int i4_min ( int i1, int i2 );
+void i4mat_print ( int m, int n, int a[], std::string title );
+void i4mat_print_some ( int m, int n, int a[], int ilo, int jlo, int ihi,
+ int jhi, std::string title );
+int i4mat_ref ( int m, int n, int a[] );
+void i4mat_row_reduce ( int m, int n, int i, int a[] );
+void i4mat_row_swap ( int m, int n, int a[], int i, int r );
+int i4mat_rref ( int m, int n, int a[] );
+double *i4mat_u_solve ( int n, int a[], int b[] );
+void i4vec_binary_next ( int n, int bvec[] );
+bool i4vec_is_binary ( int n, int x[] );
+bool i4vec_is_one ( int n, int x[] );
+void i4vec_print ( int n, int a[], std::string title );
+int i4vec_red ( int n, int a[] );
+void i4vec_transpose_print ( int n, int a[], std::string title );
+void ksub_next4 ( int n, int k, int a[], bool &done );
+bool r8vec_is_integer ( int n, double a[] );
+void r8vec_print ( int n, double a[], std::string title );
+void r8vec_transpose_print ( int n, double a[], std::string title );
+int s_len_trim ( std::string s );
+void timestamp ( );
+
diff --git a/contrib/domhex/BGMBase.cpp b/contrib/domhex/BGMBase.cpp
index ebf8d7b58037a5f4f45bdb606dd3e4030fea9192..ab1fe842a851ddab58861b647069ee0e2d43a99b 100644
--- a/contrib/domhex/BGMBase.cpp
+++ b/contrib/domhex/BGMBase.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -31,7 +31,7 @@ void BGMBase::export_scalar(const std::string &filename,
elem = getElement(i);
nvertex = elem->getNumVertices();
type = elem->getType();
- const char *s = nullptr;
+ const char *s = 0;
switch(type) {
case TYPE_PNT: s = "SP"; break;
case TYPE_LIN: s = "SL"; break;
@@ -89,7 +89,7 @@ void BGMBase::export_vector(const std::string &filename,
elem = getElement(i);
nvertex = elem->getNumVertices();
type = elem->getType();
- const char *s = nullptr;
+ const char *s = 0;
switch(type) {
case TYPE_PNT: s = "VP"; break;
case TYPE_LIN: s = "VL"; break;
@@ -141,7 +141,7 @@ void BGMBase::export_tensor_as_vectors(
fprintf(f, "View \"Background Mesh\"{\n");
- auto it = _whatToPrint.begin();
+ TensorStorageType::const_iterator it = _whatToPrint.begin();
const char *s = "VP";
for(; it != _whatToPrint.end(); it++) { // for all vertices
@@ -158,7 +158,7 @@ void BGMBase::export_tensor_as_vectors(
}
BGMBase::BGMBase(int dim, GEntity *_gf)
- : octree(nullptr), gf(_gf), DIM(dim), order(1)
+ : octree(NULL), gf(_gf), DIM(dim), order(1)
{
}
@@ -166,7 +166,7 @@ BGMBase::~BGMBase() {}
bool BGMBase::inDomain(double u, double v, double w)
{
- return (findElement(u, v, w) != nullptr);
+ return (findElement(u, v, w) != NULL);
}
const MElement *BGMBase::findElement(double u, double v, double w, bool strict)
@@ -224,7 +224,7 @@ double BGMBase::size(const MVertex *v) { return get_nodal_value(v, sizeField); }
std::vector<double>
BGMBase::get_nodal_value(const MVertex *v, const VectorStorageType &data) const
{
- auto itfind = data.find(v);
+ VectorStorageType::const_iterator itfind = data.find(v);
if(itfind == data.end()) {
Msg::Error("Unknown vertex %d in BGMBase::get_nodal_value", v->getNum());
return std::vector<double>(3, 0.);
@@ -235,7 +235,7 @@ BGMBase::get_nodal_value(const MVertex *v, const VectorStorageType &data) const
double BGMBase::get_nodal_value(const MVertex *v,
const DoubleStorageType &data) const
{
- auto itfind = data.find(v);
+ DoubleStorageType::const_iterator itfind = data.find(v);
if(itfind == data.end()) {
Msg::Error("Unknown vertex %d in BGMBase::get_nodal_value", v->getNum());
return 0.;
@@ -250,7 +250,8 @@ BGMBase::get_nodal_values(const MElement *e,
std::vector<std::vector<double> > res(e->getNumVertices());
for(std::size_t i = 0; i < e->getNumVertices(); i++) {
- auto itfind = data.find(const_cast<MVertex *>(e->getVertex(i)));
+ VectorStorageType::const_iterator itfind =
+ data.find(const_cast<MVertex *>(e->getVertex(i)));
for(int j = 0; j < 3; j++) res[i].push_back((itfind->second)[j]);
}
return res;
diff --git a/contrib/domhex/BackgroundMesh2D.cpp b/contrib/domhex/BackgroundMesh2D.cpp
index 84999c89e7f2789c797ef74dc76464ae0d2d51f1..b9933e6a11b5d8359ab3e417f19ea3badad4198d 100644
--- a/contrib/domhex/BackgroundMesh2D.cpp
+++ b/contrib/domhex/BackgroundMesh2D.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -111,9 +111,13 @@ void backgroundMesh2D::reset(bool erase_2D3D)
create_face_mesh();
// computes the mesh sizes at nodes
- if(CTX::instance()->mesh.lcFromPoints) { computeSizeField(); }
+ if(CTX::instance()->mesh.lcFromPoints) {
+ computeSizeField();
+ }
else
- for(auto itv2 = _2Dto3D.begin(); itv2 != _2Dto3D.end(); ++itv2)
+ for(std::map<MVertex const *const, MVertex *>::iterator itv2 =
+ _2Dto3D.begin();
+ itv2 != _2Dto3D.end(); ++itv2)
sizeField[itv2->first] = CTX::instance()->mesh.lcMax;
// ensure that other criteria are fullfilled
@@ -130,7 +134,7 @@ void backgroundMesh2D::unset()
for(unsigned int i = 0; i < vertices.size(); i++) delete vertices[i];
for(unsigned int i = 0; i < getNumMeshElements(); i++) delete elements[i];
if(octree) delete octree;
- octree = nullptr;
+ octree = NULL;
}
void backgroundMesh2D::create_mesh_copy()
@@ -147,8 +151,8 @@ void backgroundMesh2D::create_mesh_copy()
MVertex *news[3];
for(int j = 0; j < 3; j++) {
MVertex *v = e->getVertex(j);
- auto it = _3Dto2D.find(v);
- MVertex *newv = nullptr;
+ std::map<MVertex const *const, MVertex *>::iterator it = _3Dto2D.find(v);
+ MVertex *newv = 0;
if(it == _3Dto2D.end()) {
SPoint2 p;
reparamMeshVertexOnFace(v, face, p);
@@ -207,13 +211,14 @@ void backgroundMesh2D::propagateValues(DoubleStorageType &dirichlet,
linearSystemCSRGmm<double> *_lsys = new linearSystemCSRGmm<double>;
_lsys->setGmres(1);
#else
- linearSystemFull<double> *_lsys = new linearSystemFull<double>;
+ linearSystemFull<double> *_lsys = new linearSystemFull<double>;
#endif
dofManager<double> myAssembler(_lsys);
// fix boundary conditions
- for(auto itv = dirichlet.begin(); itv != dirichlet.end(); ++itv) {
+ for(DoubleStorageType::iterator itv = dirichlet.begin();
+ itv != dirichlet.end(); ++itv) {
myAssembler.fixVertex(itv->first, 0, 1, itv->second);
}
@@ -232,7 +237,7 @@ void backgroundMesh2D::propagateValues(DoubleStorageType &dirichlet,
std::map<MVertex *, SPoint3> theMap;
if(in_parametric_plane) {
- for(auto it = vs.begin(); it != vs.end(); ++it) {
+ for(std::set<MVertex *>::iterator it = vs.begin(); it != vs.end(); ++it) {
SPoint2 p;
reparamMeshVertexOnFace(*it, face, p);
theMap[*it] = SPoint3((*it)->x(), (*it)->y(), (*it)->z());
@@ -240,11 +245,11 @@ void backgroundMesh2D::propagateValues(DoubleStorageType &dirichlet,
}
}
- for(auto it = vs.begin(); it != vs.end(); ++it)
+ for(std::set<MVertex *>::iterator it = vs.begin(); it != vs.end(); ++it)
myAssembler.numberVertex(*it, 0, 1);
// Assemble
- laplaceTerm l(nullptr, 1, &eval_diffusivity);
+ laplaceTerm l(0, 1, &eval_diffusivity);
for(unsigned int k = 0; k < face->triangles.size(); k++) {
MTriangle *t = face->triangles[k];
SElement se(t);
@@ -252,15 +257,17 @@ void backgroundMesh2D::propagateValues(DoubleStorageType &dirichlet,
}
// Solve
- if(myAssembler.sizeOfR()) { _lsys->systemSolve(); }
+ if(myAssembler.sizeOfR()) {
+ _lsys->systemSolve();
+ }
// save solution
- for(auto it = vs.begin(); it != vs.end(); ++it) {
+ for(std::set<MVertex *>::iterator it = vs.begin(); it != vs.end(); ++it) {
myAssembler.getDofValue(*it, 0, 1, dirichlet[*it]);
}
if(in_parametric_plane) {
- for(auto it = vs.begin(); it != vs.end(); ++it) {
+ for(std::set<MVertex *>::iterator it = vs.begin(); it != vs.end(); ++it) {
SPoint3 p = theMap[(*it)];
(*it)->setXYZ(p.x(), p.y(), p.z());
}
@@ -278,7 +285,7 @@ void backgroundMesh2D::computeSizeField()
}
std::vector<GEdge *> const &e = face->edges();
- auto it = e.begin();
+ std::vector<GEdge *>::const_iterator it = e.begin();
DoubleStorageType sizes;
for(; it != e.end(); ++it) {
@@ -292,7 +299,7 @@ void backgroundMesh2D::computeSizeField()
(v1->z() - v2->z()) * (v1->z() - v2->z()));
for(int k = 0; k < 2; k++) {
MVertex *v = (*it)->lines[i]->getVertex(k);
- auto itv = sizes.find(v);
+ DoubleStorageType::iterator itv = sizes.find(v);
if(itv == sizes.end())
sizes[v] = std::log(d);
else
@@ -306,7 +313,7 @@ void backgroundMesh2D::computeSizeField()
simpleFunction<double> ONE(1.0);
propagateValues(sizes, ONE);
- auto itv2 = _2Dto3D.begin();
+ std::map<MVertex const *const, MVertex *>::iterator itv2 = _2Dto3D.begin();
for(; itv2 != _2Dto3D.end(); ++itv2) {
MVertex const *const v_2D = itv2->first;
MVertex *v_3D = itv2->second;
@@ -323,7 +330,7 @@ inline double myAngle(const SVector3 &a, const SVector3 &b, const SVector3 &d)
void backgroundMesh2D::updateSizes()
{
- auto itv = sizeField.begin();
+ DoubleStorageType::iterator itv = sizeField.begin();
for(; itv != sizeField.end(); ++itv) {
SPoint2 p;
MVertex const *const v = _2Dto3D[itv->first];
@@ -364,14 +371,14 @@ void backgroundMesh2D::updateSizes()
}
const double _beta = 1.3;
for(int i = 0; i < 0; i++) {
- auto it = edges.begin();
+ std::set<MEdge, MEdgeLessThan>::iterator it = edges.begin();
for(; it != edges.end(); ++it) {
MVertex *v0 = it->getVertex(0);
MVertex *v1 = it->getVertex(1);
MVertex *V0 = _2Dto3D[v0];
MVertex *V1 = _2Dto3D[v1];
- auto s0 = sizeField.find(V0);
- auto s1 = sizeField.find(V1);
+ DoubleStorageType::iterator s0 = sizeField.find(V0);
+ DoubleStorageType::iterator s1 = sizeField.find(V1);
if(s0->second < s1->second)
s1->second = std::min(s1->second, _beta * s0->second);
else
@@ -473,7 +480,7 @@ void frameFieldBackgroundMesh2D::computeCrossField(
return;
}
std::vector<GEdge *> const &e = face->edges();
- auto it = e.begin();
+ std::vector<GEdge *>::const_iterator it = e.begin();
for(; it != e.end(); ++it) {
if(!(*it)->isSeam(face)) {
@@ -495,8 +502,8 @@ void frameFieldBackgroundMesh2D::computeCrossField(
double _angle = myAngle(t1, d1, n);
normalizeAngle(_angle);
for(int i = 0; i < 2; i++) {
- auto itc = _cosines4.find(v[i]);
- auto its = _sines4.find(v[i]);
+ DoubleStorageType::iterator itc = _cosines4.find(v[i]);
+ DoubleStorageType::iterator its = _sines4.find(v[i]);
if(itc != _cosines4.end()) {
itc->second = 0.5 * (itc->second + std::cos(4 * _angle));
its->second = 0.5 * (its->second + std::sin(4 * _angle));
@@ -513,7 +520,7 @@ void frameFieldBackgroundMesh2D::computeCrossField(
propagateValues(_cosines4, eval_diffusivity, false);
propagateValues(_sines4, eval_diffusivity, false);
- auto itv2 = _2Dto3D.begin();
+ std::map<MVertex const *const, MVertex *>::iterator itv2 = _2Dto3D.begin();
for(; itv2 != _2Dto3D.end(); ++itv2) {
MVertex const *const v_2D = itv2->first;
MVertex *v_3D = itv2->second;
@@ -574,7 +581,8 @@ void frameFieldBackgroundMesh2D::computeSmoothness()
// build vertex -> neighbors table
std::multimap<MVertex *, MVertex *> vertex2vertex;
- for(auto it = beginelements(); it != endelements(); it++) {
+ for(std::vector<MElement *>::iterator it = beginelements();
+ it != endelements(); it++) {
MElement *e = *it;
for(std::size_t i = 0; i < e->getNumVertices(); i++) {
MVertex *current = e->getVertex(i);
@@ -587,7 +595,8 @@ void frameFieldBackgroundMesh2D::computeSmoothness()
}
// compute smoothness
- for(auto it = beginvertices(); it != endvertices(); it++) {
+ for(std::vector<MVertex *>::iterator it = beginvertices();
+ it != endvertices(); it++) {
MVertex *v = *it;
double angle_current = angle(v);
// compare to all neighbors...
@@ -596,8 +605,8 @@ void frameFieldBackgroundMesh2D::computeSmoothness()
range = vertex2vertex.equal_range(v);
double minangle, totalangle = 0.;
int N = 0;
- for(auto itneighbor = range.first; itneighbor != range.second;
- itneighbor++) {
+ for(std::multimap<MVertex *, MVertex *>::iterator itneighbor = range.first;
+ itneighbor != range.second; itneighbor++) {
N++;
minangle = M_PI / 2;
MVertex *v_nb = itneighbor->second;
@@ -627,7 +636,8 @@ void frameFieldBackgroundMesh2D::exportCrossField(const std::string &filename)
deltas[0] = 0.;
deltas[1] = M_PI;
- for(auto it = beginvertices(); it != endvertices(); it++) {
+ for(std::vector<MVertex *>::iterator it = beginvertices();
+ it != endvertices(); it++) {
MVertex *v = *it;
double angle_current = angle(v);
GPoint p = get_GPoint_from_MVertex(v);
@@ -725,7 +735,9 @@ bool frameFieldBackgroundMesh2D::compute_RK_infos(double u, double v, double x,
FieldManager *fields = gf->model()->getFields();
if(fields->getBackgroundField() > 0) {
Field *f = fields->get(fields->getBackgroundField());
- if(!f->isotropic()) { (*f)(x, y, z, infos.metricField, gf); }
+ if(!f->isotropic()) {
+ (*f)(x, y, z, infos.metricField, gf);
+ }
else {
L = (*f)(x, y, z, gf);
infos.metricField = SMetric3(1. / (L * L));
diff --git a/contrib/domhex/BackgroundMesh2D.h b/contrib/domhex/BackgroundMesh2D.h
index be68e1706775e3c6984d4454a9c52362053d5b67..db26ec1a49f76928863f7e00f2da7c901801e220 100644
--- a/contrib/domhex/BackgroundMesh2D.h
+++ b/contrib/domhex/BackgroundMesh2D.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
diff --git a/contrib/domhex/BackgroundMesh3D.cpp b/contrib/domhex/BackgroundMesh3D.cpp
index b1be0546a065e5574ebd1a27707ae70132273e1b..a26fe88b4b6e62031f56242229fbeadd792443c1 100644
--- a/contrib/domhex/BackgroundMesh3D.cpp
+++ b/contrib/domhex/BackgroundMesh3D.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -69,7 +69,8 @@ void backgroundMesh3D::computeSizeField()
MVertex *v;
MElement *e;
- for(auto it = faces.begin(); it != faces.end(); it++) { // for all GFace
+ for(std::vector<GFace *>::iterator it = faces.begin(); it != faces.end();
+ it++) { // for all GFace
GFace *face = *it;
frameFieldBackgroundMesh2D *bgm2d =
dynamic_cast<frameFieldBackgroundMesh2D *>(BGMManager::get(face));
@@ -117,7 +118,7 @@ void backgroundMesh3D::propagateValues(DoubleStorageType &dirichlet,
linearSystemCSRGmm<double> *lsys = new linearSystemCSRGmm<double>;
lsys->setGmres(1);
#else
- linearSystemFull<double> *lsys = new linearSystemFull<double>;
+ linearSystemFull<double> *lsys = new linearSystemFull<double>;
#endif
size_t i;
@@ -148,7 +149,9 @@ void backgroundMesh3D::propagateValues(DoubleStorageType &dirichlet,
for(it = interior.begin(); it != interior.end(); it++) {
it2 = dirichlet.find(*it);
- if(it2 == dirichlet.end()) { assembler.numberVertex(*it, 0, 1); }
+ if(it2 == dirichlet.end()) {
+ assembler.numberVertex(*it, 0, 1);
+ }
}
for(i = 0; i < gr->tetrahedra.size(); i++) {
@@ -157,7 +160,7 @@ void backgroundMesh3D::propagateValues(DoubleStorageType &dirichlet,
count2 = 0;
volume = 0.0;
- laplaceTerm term(nullptr, 1, &eval_diffusivity);
+ laplaceTerm term(0, 1, &eval_diffusivity);
for(i = 0; i < gr->tetrahedra.size(); i++) {
SElement se(gr->tetrahedra[i]);
term.addToMatrix(assembler, &se);
@@ -167,7 +170,9 @@ void backgroundMesh3D::propagateValues(DoubleStorageType &dirichlet,
// printf("number of tetrahedra = %d\n",count2);
// printf("volume = %f\n",volume);
- if(assembler.sizeOfR()) { lsys->systemSolve(); }
+ if(assembler.sizeOfR()) {
+ lsys->systemSolve();
+ }
for(it = interior.begin(); it != interior.end(); it++) {
assembler.getDofValue(*it, 0, 1, val);
@@ -214,7 +219,7 @@ MElementOctree *backgroundMesh3D::getOctree()
GRegion *gr = dynamic_cast<GRegion *>(gf);
if(!gr) {
Msg::Error("Entity is not a region in background mesh");
- return nullptr;
+ return 0;
}
Msg::Debug("Rebuilding BackgroundMesh element octree");
std::vector<MElement *> copy(gr->tetrahedra.begin(), gr->tetrahedra.end());
@@ -229,7 +234,7 @@ MVertex *backgroundMesh3D::get_nearest_neighbor(const double *xyz,
// using the octree instead of ANN, faster.
MElement *elem = const_cast<MElement *>(findElement(xyz[0], xyz[1], xyz[2]));
- if(!elem) return nullptr;
+ if(!elem) return NULL;
std::vector<MVertex *> candidates(elem->getNumVertices());
std::vector<double> distances(elem->getNumVertices());
@@ -239,7 +244,8 @@ MVertex *backgroundMesh3D::get_nearest_neighbor(const double *xyz,
candidates[i] = v;
distances[i] = p.distance(v->point());
}
- auto itmax = std::max_element(distances.begin(), distances.end());
+ std::vector<double>::iterator itmax =
+ std::max_element(distances.begin(), distances.end());
return candidates[std::distance(distances.begin(), itmax)];
// map<double,MVertex*> distances;
@@ -283,7 +289,9 @@ frameFieldBackgroundMesh3D::frameFieldBackgroundMesh3D(GRegion *_gr)
initiate_ANN_research();
initiate_crossfield();
- if(smooth_the_crossfield) { computeCrossField(); }
+ if(smooth_the_crossfield) {
+ computeCrossField();
+ }
else {
computeSmoothnessOnlyFromBoundaries();
}
@@ -305,8 +313,8 @@ void frameFieldBackgroundMesh3D::initiate_ANN_research()
dataPtsBnd = annAllocPts(maxPts, 3);
int i = 0;
MVertex *v;
- for(auto it = listOfBndVertices.begin(); it != listOfBndVertices.end();
- it++) {
+ for(std::set<MVertex *>::iterator it = listOfBndVertices.begin();
+ it != listOfBndVertices.end(); it++) {
v = *it;
for(int k = 0; k < 3; ++k) dataPtsBnd[i][k] = (v->point())[k];
++i;
@@ -329,22 +337,23 @@ void frameFieldBackgroundMesh3D::computeSmoothnessOnlyFromBoundaries()
double mean_angle = 0.;
std::vector<double> vectorial_smoothness(3);
- for(auto it_vertex = vert2elem.begin(); it_vertex != vert2elem.end();
- it_vertex++) { // for all vertices
+ for(vert2elemtype::iterator it_vertex = vert2elem.begin();
+ it_vertex != vert2elem.end(); it_vertex++) { // for all vertices
themap.clear();
neighbors.clear();
MVertex const *current = it_vertex->first;
std::pair<graphtype::const_iterator, graphtype::iterator> range =
graph.equal_range(current);
- auto itgraph = range.first;
+ graphtype::const_iterator itgraph = range.first;
for(; itgraph != range.second; itgraph++) { // for all neighbors
neighbors.insert(itgraph->second.second);
}
- for(auto it = neighbors.begin(); it != neighbors.end(); it++) {
+ for(std::set<MVertex const *>::iterator it = neighbors.begin();
+ it != neighbors.end(); it++) {
themap.insert(std::make_pair(1., *it));
}
- auto itcurrent = crossField.find(current);
+ TensorStorageType::iterator itcurrent = crossField.find(current);
STensor3 &ref = itcurrent->second;
crossFieldSmoothness[current] =
@@ -377,8 +386,8 @@ void frameFieldBackgroundMesh3D::computeCrossField()
std::map<MVertex const *const, bool> vertex_is_still;
std::map<MVertex const *const, double> vertex_movement;
- for(auto it_vertex = vert2elem.begin(); it_vertex != vert2elem.end();
- it_vertex++) {
+ for(vert2elemtype::iterator it_vertex = vert2elem.begin();
+ it_vertex != vert2elem.end(); it_vertex++) {
MVertex const *const current = it_vertex->first;
vertex_is_still[current] = current->onWhat()->dim() <= 2;
@@ -388,8 +397,8 @@ void frameFieldBackgroundMesh3D::computeCrossField()
// OLD - NEW COMPARISON
std::map<MVertex const *, double> vertex_to_rank;
- for(auto it_vertex = vert2elem.begin(); it_vertex != vert2elem.end();
- it_vertex++) { // for all vertices
+ for(vert2elemtype::iterator it_vertex = vert2elem.begin();
+ it_vertex != vert2elem.end(); it_vertex++) { // for all vertices
// vertex_to_rank[it_vertex->first] = 0.;
vertex_to_rank[it_vertex->first] = 1.;
rank.insert(std::make_pair(0., it_vertex->first));
@@ -434,7 +443,7 @@ void frameFieldBackgroundMesh3D::computeCrossField()
continue;
}
- auto itcurrent = crossField.find(current);
+ TensorStorageType::iterator itcurrent = crossField.find(current);
STensor3 &ref = itcurrent->second;
if(verbose)
std::cout << "-------------------- working on point "
@@ -445,7 +454,7 @@ void frameFieldBackgroundMesh3D::computeCrossField()
std::pair<graphtype::iterator, graphtype::iterator> range =
graph.equal_range(current);
- auto itgraph = range.first;
+ graphtype::iterator itgraph = range.first;
bool all_neighbors_still = true; // if nothing has changed since previous
// iteration: nothing to do !
for(; itgraph != range.second; itgraph++) { // for all neighbors
@@ -494,7 +503,8 @@ void frameFieldBackgroundMesh3D::computeCrossField()
// iterations, convergence of the local cavity...
for(; Nlocaliter < 20; Nlocaliter++) {
- auto it_neighbors_to_trust = neighbors_to_trust.begin();
+ std::multimap<double, MVertex const *>::iterator it_neighbors_to_trust =
+ neighbors_to_trust.begin();
crossFieldSmoothness[current] =
compare_to_neighbors(current->point(), ref, it_neighbors_to_trust,
neighbors_to_trust.end(), mean_axis, mean_angle,
@@ -567,15 +577,15 @@ void frameFieldBackgroundMesh3D::computeCrossField()
} // end Niter iterations
// also computes smoothness for boundary points
- for(auto it_vertex = vert2elem.begin(); it_vertex != vert2elem.end();
- it_vertex++) {
+ for(vert2elemtype::iterator it_vertex = vert2elem.begin();
+ it_vertex != vert2elem.end(); it_vertex++) {
MVertex const *const current = it_vertex->first;
if(current->onWhat()->dim() <= 2) {
- auto itcurrent = crossField.find(current);
+ TensorStorageType::iterator itcurrent = crossField.find(current);
STensor3 &ref = itcurrent->second;
std::pair<graphtype::iterator, graphtype::iterator> range =
graph.equal_range(current);
- auto itgraph = range.first;
+ graphtype::iterator itgraph = range.first;
std::multimap<double, MVertex const *> neighbors_to_trust;
itgraph = range.first;
@@ -622,7 +632,8 @@ void frameFieldBackgroundMesh3D::initiate_crossfield()
std::vector<GFace *> faces = gr->faces();
// here, not using the gm2D since we are interested by the new 2D vertices,
// not the old (now erased) ones... alternative would be to reset the 2DBGM...
- for(auto it = faces.begin(); it != faces.end(); it++) { // for all GFace
+ for(std::vector<GFace *>::iterator it = faces.begin(); it != faces.end();
+ it++) { // for all GFace
GFace *face = *it;
frameFieldBackgroundMesh2D *bgm2d =
dynamic_cast<frameFieldBackgroundMesh2D *>(BGMManager::get(face));
@@ -640,7 +651,7 @@ void frameFieldBackgroundMesh3D::initiate_crossfield()
v = e->getVertex(iv);
// if already done: continue
- auto itfind = crossField.find(v);
+ TensorStorageType::iterator itfind = crossField.find(v);
if(itfind != crossField.end()) continue;
STensor3 cf;
@@ -662,7 +673,7 @@ void frameFieldBackgroundMesh3D::initiate_crossfield()
// if not in volume: continue
if(v->onWhat()->dim() <= 2) continue;
// if already done: continue
- auto itfind = crossField.find(v);
+ TensorStorageType::iterator itfind = crossField.find(v);
if(itfind != crossField.end()) continue;
MVertex *closer_on_bnd = get_nearest_neighbor_on_boundary(v);
crossField[v] =
@@ -694,7 +705,7 @@ frameFieldBackgroundMesh3D::get_nearest_neighbor_on_boundary(MVertex *v,
delete[] dists;
annDeallocPt(q);
- auto it = listOfBndVertices.begin();
+ std::set<MVertex *>::iterator it = listOfBndVertices.begin();
std::advance(it, i);
return (*it);
#else
@@ -811,7 +822,7 @@ const MElement *backgroundMesh3D::getElement(unsigned int i) const
GRegion *gr = dynamic_cast<GRegion *>(gf);
if(!gr) {
Msg::Error("Entity is not a region in background mesh");
- return nullptr;
+ return 0;
}
return gr->getMeshElement(i);
}
@@ -835,8 +846,8 @@ void frameFieldBackgroundMesh3D::build_neighbors(const int &max_recursion_level)
std::multimap<int, MVertex const *> proximity;
// int counter=0;
- for(auto it_vertex = vert2elem.begin(); it_vertex != vert2elem.end();
- it_vertex++) { // for all vertices
+ for(vert2elemtype::iterator it_vertex = vert2elem.begin();
+ it_vertex != vert2elem.end(); it_vertex++) { // for all vertices
MVertex const *const current_vertex = it_vertex->first;
visited.clear();
visited_elements.clear();
@@ -848,7 +859,8 @@ void frameFieldBackgroundMesh3D::build_neighbors(const int &max_recursion_level)
get_recursive_neighbors(start, visited, visited_elements, proximity,
max_recursion_level);
- for(auto it1 = proximity.begin(); it1 != proximity.end(); it1++) {
+ for(std::multimap<int, MVertex const *>::iterator it1 = proximity.begin();
+ it1 != proximity.end(); it1++) {
graph.insert(std::make_pair(current_vertex,
std::make_pair(it1->first, it1->second)));
}
@@ -887,16 +899,16 @@ void frameFieldBackgroundMesh3D::get_recursive_neighbors(
std::set<MVertex const *> new_vertices;
- for(auto it_start = start.begin(); it_start != start.end();
- it_start++) { // for all initial vertices
+ for(std::set<MVertex const *>::iterator it_start = start.begin();
+ it_start != start.end(); it_start++) { // for all initial vertices
MVertex const *current = *it_start;
// std::cout << "get_recursive_neighbors : on vertex " <<
// current->getNum()
// << " (" << current << ")" << std::endl;
- auto itfind = vert2elem.find(current);
+ vert2elemtype::iterator itfind = vert2elem.find(current);
if(itfind == vert2elem.end()) continue;
- auto it_elem = itfind->second.begin();
+ std::set<MElement *>::iterator it_elem = itfind->second.begin();
for(; it_elem != itfind->second.end();
it_elem++) { // for all connected elements
@@ -931,7 +943,7 @@ double frameFieldBackgroundMesh3D::compare_to_neighbors(
{
for(int i = 0; i < 3; i++) mean_axis(i) = 0.;
- auto it = itbegin;
+ std::multimap<double, MVertex const *>::iterator it = itbegin;
SVector3 rotation_axis;
double minimum_angle;
@@ -1001,11 +1013,11 @@ double frameFieldBackgroundMesh3D::compare_to_neighbors(
M_PI * 4.; // APPROXIMATELY between 0 (not smooth) and 1 (smooth),
// (sometimes <0, always > 1).
- auto itan = all_angle.begin();
- auto itpond = ponderations_vec.begin();
+ std::vector<double>::iterator itan = all_angle.begin();
+ std::vector<double>::iterator itpond = ponderations_vec.begin();
- for(auto ita = all_axis.begin(); ita != all_axis.end();
- ita++, itan++, itpond++) {
+ for(std::vector<SVector3>::iterator ita = all_axis.begin();
+ ita != all_axis.end(); ita++, itan++, itpond++) {
// mean_axis += ((*ita)*(*itan));
mean_axis += ((*ita) * (*itan)) * (*itpond);
}
@@ -1264,7 +1276,7 @@ void frameFieldBackgroundMesh3D::exportVectorialSmoothness(
const MElement *e = getElement(ie);
for(std::size_t iv = 0; iv < e->getNumVertices(); iv++) {
const MVertex *v = e->getVertex(iv);
- auto itfind = done.find(v);
+ std::set<const MVertex *>::iterator itfind = done.find(v);
if(itfind != done.end()) continue;
done.insert(v);
STensor3 cf;
diff --git a/contrib/domhex/BackgroundMesh3D.h b/contrib/domhex/BackgroundMesh3D.h
index 8fbe6a64bf864a5671d268fb5156ea2eb0552e1f..d3b6a7f4f1094fb37ba703768662c3cc16346363 100644
--- a/contrib/domhex/BackgroundMesh3D.h
+++ b/contrib/domhex/BackgroundMesh3D.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
diff --git a/contrib/domhex/BackgroundMeshManager.cpp b/contrib/domhex/BackgroundMeshManager.cpp
index 485a74c9aff90b364f8ec339af97c4ef106a4b15..c59bae0dd911a4bc4ca6fa6c9c74e04669b54dd3 100644
--- a/contrib/domhex/BackgroundMeshManager.cpp
+++ b/contrib/domhex/BackgroundMeshManager.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -13,7 +13,7 @@
std::map<GEntity *, BGMBase *> BGMManager::data =
std::map<GEntity *, BGMBase *>();
-BGMBase *BGMManager::latest2Dbgm = nullptr;
+BGMBase *BGMManager::latest2Dbgm = NULL;
bool BGMManager::use_cross_field = true;
void BGMManager::set_use_cross_field(bool b)
@@ -26,8 +26,10 @@ void BGMManager::set_use_cross_field(bool b)
BGMBase *BGMManager::get(GRegion *gf)
{
- auto itfind = data.find(gf);
- if(itfind != data.end()) { return itfind->second; }
+ std::map<GEntity *, BGMBase *>::iterator itfind = data.find(gf);
+ if(itfind != data.end()) {
+ return itfind->second;
+ }
BGMBase *bgm = use_cross_field ? new frameFieldBackgroundMesh3D(gf) :
new backgroundMesh3D(gf);
@@ -38,7 +40,7 @@ BGMBase *BGMManager::get(GRegion *gf)
BGMBase *BGMManager::get(GFace *gf)
{
- auto itfind = data.find(gf);
+ std::map<GEntity *, BGMBase *>::iterator itfind = data.find(gf);
if(itfind != data.end()) {
latest2Dbgm = itfind->second;
return itfind->second;
diff --git a/contrib/domhex/BackgroundMeshManager.h b/contrib/domhex/BackgroundMeshManager.h
index 6dcabb59c4e7aed72d58d093c32c90a7a7636d92..eb95ae3c1e9f8f4de3b85243cdf4cf2b7fd079d7 100644
--- a/contrib/domhex/BackgroundMeshManager.h
+++ b/contrib/domhex/BackgroundMeshManager.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
diff --git a/contrib/domhex/CMakeLists.txt b/contrib/domhex/CMakeLists.txt
index 611213c0cae367690afc834bd3db0c0b0e423cf9..958c2c932d8fd85d0c3ecd8fe8e1bd69d84d101f 100644
--- a/contrib/domhex/CMakeLists.txt
+++ b/contrib/domhex/CMakeLists.txt
@@ -1,4 +1,4 @@
-# Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+# Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
#
# See the LICENSE.txt file for license information. Please report all
# issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
diff --git a/contrib/domhex/ThinLayer.cpp b/contrib/domhex/ThinLayer.cpp
index fd85ecfd4b1be23e4483e7fd5f3e2a970a3f8022..f578f44d1609175ede868847cfe1005b6a7c3336 100644
--- a/contrib/domhex/ThinLayer.cpp
+++ b/contrib/domhex/ThinLayer.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -66,7 +66,9 @@ void ThinLayer::perform()
void ThinLayer::checkOppositeTriangles()
{
// all endTriangle will be set to active or not
- for(auto it1 = VertexToCorresp.begin(); it1 != VertexToCorresp.end(); it1++) {
+ for(std::map<MVertex *, std::vector<CorrespVertices *> >::iterator it1 =
+ VertexToCorresp.begin();
+ it1 != VertexToCorresp.end(); it1++) {
std::vector<CorrespVertices *> vecCorr = (*it1).second;
for(unsigned int i = 0; i < vecCorr.size(); i++) {
CorrespVertices *currentCorr = vecCorr[i];
@@ -74,9 +76,12 @@ void ThinLayer::checkOppositeTriangles()
MVertex *endP0 = currentEndTri.v[0];
MVertex *endP1 = currentEndTri.v[1];
MVertex *endP2 = currentEndTri.v[2];
- auto it2 = VertexToCorresp.find(endP0);
- auto it3 = VertexToCorresp.find(endP1);
- auto it4 = VertexToCorresp.find(endP2);
+ std::map<MVertex *, std::vector<CorrespVertices *> >::iterator it2 =
+ VertexToCorresp.find(endP0);
+ std::map<MVertex *, std::vector<CorrespVertices *> >::iterator it3 =
+ VertexToCorresp.find(endP1);
+ std::map<MVertex *, std::vector<CorrespVertices *> >::iterator it4 =
+ VertexToCorresp.find(endP2);
(*it1).second[i]->setEndTriangleActive(false);
if(it2 != VertexToCorresp.end()) {
if(it3 != VertexToCorresp.end()) {
@@ -97,7 +102,9 @@ void ThinLayer::checkOppositeTriangles()
void ThinLayer::fillvecOfThinSheets()
{
- for(auto it1 = VertexToCorresp.begin(); it1 != VertexToCorresp.end(); it1++) {
+ for(std::map<MVertex *, std::vector<CorrespVertices *> >::iterator it1 =
+ VertexToCorresp.begin();
+ it1 != VertexToCorresp.end(); it1++) {
std::vector<CorrespVertices *> vecCorr = (*it1).second;
for(unsigned int i = 0; i < vecCorr.size(); i++) {
CorrespVertices *currentCorr = vecCorr[i];
@@ -110,7 +117,8 @@ void ThinLayer::fillvecOfThinSheets()
(*it1).second[i]->setTagMaster(-1);
faceXtet faceEndSlave = (*it1).second[i]->getEndTriangle();
for(unsigned int j = 0; j < 3; j++) {
- auto it2 = VertexToCorresp.find(faceEndSlave.v[j]);
+ std::map<MVertex *, std::vector<CorrespVertices *> >::iterator it2 =
+ VertexToCorresp.find(faceEndSlave.v[j]);
if(it2 != VertexToCorresp.end()) {
if(faceEndSlave.v[j]->onWhat()->dim() == 2) {
(*it2).second[0]->setTagMaster(
@@ -129,7 +137,8 @@ void ThinLayer::fillvecOfThinSheets()
for(std::size_t k = 0; k < surroundingTet[j]->getNumVertices();
k++) {
MVertex *ToInsertTmp = surroundingTet[j]->getVertex(k);
- auto it2 = VertexToCorresp.find(ToInsertTmp);
+ std::map<MVertex *, std::vector<CorrespVertices *> >::iterator
+ it2 = VertexToCorresp.find(ToInsertTmp);
if(ToInsertTmp->onWhat()->tag() == VToDo->onWhat()->tag()) {
// TODO: OR that onwhat -> dim <, for edges
if(it2 != VertexToCorresp.end()) {
@@ -142,7 +151,9 @@ void ThinLayer::fillvecOfThinSheets()
(*it2).second[0]->setTagMaster(-1);
faceXtet faceEndSlave2 = (*it2).second[0]->getEndTriangle();
for(unsigned int j = 0; j < 3; j++) {
- auto it3 = VertexToCorresp.find(faceEndSlave2.v[j]);
+ std::map<MVertex *,
+ std::vector<CorrespVertices *> >::iterator it3 =
+ VertexToCorresp.find(faceEndSlave2.v[j]);
if(it3 != VertexToCorresp.end()) {
if(faceEndSlave2.v[j]->onWhat()->dim() == 2) {
(*it3).second[0]->setTagMaster(
@@ -171,12 +182,12 @@ std::map<MVertex *, double> ThinLayer::computeAllDistToOppSide()
// std::vector<MElement*> crackElements;
std::set<MVertex *> BoundaryVertices;
- for(auto itr = m->firstRegion(); itr != m->lastRegion(); itr++) {
+ for(GModel::riter itr = m->firstRegion(); itr != m->lastRegion(); itr++) {
GRegion *rTmp = (*itr);
for(unsigned int i = 0; i < rTmp->tetrahedra.size(); i++) {
MTet4 *tet4Tmp = TetToTet4[rTmp->tetrahedra[i]];
for(unsigned int j = 0; j < 4; j++) {
- if(tet4Tmp->getNeigh(j) == nullptr) {
+ if(tet4Tmp->getNeigh(j) == 0) {
// find the 4th point,and fill the two vector of the boundary triangle
faceXtet fxtTmp(tet4Tmp, j);
for(int k = 0; k < 3; k++) {
@@ -192,7 +203,8 @@ std::map<MVertex *, double> ThinLayer::computeAllDistToOppSide()
}
}
}
- for(auto it = BoundaryVertices.begin(); it != BoundaryVertices.end(); it++) {
+ for(std::set<MVertex *>::iterator it = BoundaryVertices.begin();
+ it != BoundaryVertices.end(); it++) {
MVertex *toCompute = (*it);
double resultTmp = computeDistToOppSide(toCompute);
AllDistToOppSide[toCompute] = resultTmp;
@@ -213,14 +225,14 @@ double ThinLayer::computeDistToOppSide(MVertex *v)
MTet4 *PastTet = FirstTet;
SPoint3 CurrentPos = SPoint3(v->x(), v->y(), v->z());
SPoint3 LastPos = CurrentPos;
- int *CurrentTri = nullptr;
+ int *CurrentTri = 0;
CorrespVertices CVTemp;
CVTemp.setStartPoint(v);
CVTemp.setStartNormal(InteriorNormal);
FindNewPoint((&CurrentPos), CurrentTri, CurrentTet, InteriorNormal);
faceXtet fxtCV(CurrentTet, (*CurrentTri));
// while(CurrentTet->getNeigh((*CurrentTri)) != 0){
- while(CurrentTet != nullptr) {
+ while(CurrentTet != 0) {
PastTet = CurrentTet;
faceXtet fxtCVtmp(PastTet, (*CurrentTri));
FindNewPoint((&CurrentPos), CurrentTri, CurrentTet, InteriorNormal);
@@ -267,7 +279,7 @@ SVector3 ThinLayer::computeInteriorNormal(MVertex *v)
for(unsigned int i = 0; i < currentVecTet.size(); i++) {
MTet4 *tet4Tmp = TetToTet4[currentVecTet[i]];
for(int j = 0; j < 4; j++) {
- if(tet4Tmp->getNeigh(j) == nullptr) {
+ if(tet4Tmp->getNeigh(j) == 0) {
// find the 4th point,and fill the two vector of the boundary triangle
faceXtet fxtTmp(tet4Tmp, j);
for(int k = 0; k < 4; k++) {
@@ -376,7 +388,7 @@ SVector3 ThinLayer::computeInteriorNormal(MVertex *v)
MTet4 *ThinLayer::getTetFromPoint(MVertex *v, const SVector3 &InteriorNormal)
{
- MTet4 *TetToGet = nullptr;
+ MTet4 *TetToGet = 0;
std::vector<MTetrahedron *> currentVecTet = VertexToTets[v];
for(unsigned int i = 0; i < currentVecTet.size(); i++) {
std::vector<SVector3> vecDir;
@@ -407,7 +419,9 @@ MTet4 *ThinLayer::getTetFromPoint(MVertex *v, const SVector3 &InteriorNormal)
ThinLayer::IsPositivOrientation(vecDir[2], vecDir[0], InteriorNormal);
if(isPositiv1) {
if(isPositiv2) {
- if(isPositiv3) { TetToGet = TetToTet4[currentVecTet[i]]; }
+ if(isPositiv3) {
+ TetToGet = TetToTet4[currentVecTet[i]];
+ }
}
}
}
@@ -422,7 +436,9 @@ bool ThinLayer::IsPositivOrientation(const SVector3 &a, const SVector3 &b,
a.x() * b.y() - a.y() * b.x());
double ProdScal =
ProdVec.x() * c.x() + ProdVec.y() * c.y() + ProdVec.z() * c.z();
- if(ProdScal >= 0.0) { result = true; }
+ if(ProdScal >= 0.0) {
+ result = true;
+ }
return result;
}
@@ -531,7 +547,7 @@ void ThinLayer::FindNewPoint(SPoint3 *CurrentPoint, int *CurrentTri,
void ThinLayer::fillVertexToTets()
{
GModel *m = GModel::current();
- for(auto itr = m->firstRegion(); itr != m->lastRegion(); itr++) {
+ for(GModel::riter itr = m->firstRegion(); itr != m->lastRegion(); itr++) {
GRegion *rTmp = (*itr);
for(unsigned int i = 0; i < rTmp->tetrahedra.size(); i++) {
MTetrahedron *elem = rTmp->tetrahedra[i];
@@ -545,7 +561,7 @@ void ThinLayer::fillVertexToTets()
}
}
}
- for(auto itr = m->firstRegion(); itr != m->lastRegion(); itr++) {
+ for(GModel::riter itr = m->firstRegion(); itr != m->lastRegion(); itr++) {
GRegion *rTmp = (*itr);
for(unsigned int i = 0; i < rTmp->tetrahedra.size(); i++) {
MTetrahedron *elem = rTmp->tetrahedra[i];
@@ -561,7 +577,7 @@ void ThinLayer::fillTetToTet4()
GModel *m = GModel::current();
std::vector<MTet4 *> vecAllTet4;
vecAllTet4.clear();
- for(auto itr = m->firstRegion(); itr != m->lastRegion(); itr++) {
+ for(GModel::riter itr = m->firstRegion(); itr != m->lastRegion(); itr++) {
GRegion *rTmp = (*itr);
for(unsigned int i = 0; i < rTmp->tetrahedra.size(); i++) {
MTetrahedron *elem = rTmp->tetrahedra[i];
diff --git a/contrib/domhex/ThinLayer.h b/contrib/domhex/ThinLayer.h
index 57bc60d363fe97517c684c4c7fd22d9b1e38f04f..487e6ef33b52ef4bc3b6a5ed6f71ef108699be32 100644
--- a/contrib/domhex/ThinLayer.h
+++ b/contrib/domhex/ThinLayer.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -18,7 +18,7 @@ struct faceXtet {
MVertex *v[3], *unsorted[3];
MTet4 *t1;
int i1;
- faceXtet(MTet4 *_t = nullptr, int iFac = 0) : t1(_t), i1(iFac)
+ faceXtet(MTet4 *_t = 0, int iFac = 0) : t1(_t), i1(iFac)
{
MVertex *v0 = t1->tet()->getVertex(faces[iFac][0]);
MVertex *v1 = t1->tet()->getVertex(faces[iFac][1]);
@@ -30,9 +30,8 @@ struct faceXtet {
v[0] = std::min(std::min(v0, v1), v2);
v[2] = std::max(std::max(v0, v1), v2);
- v[1] = (v0 != v[0] && v0 != v[2]) ? v0 :
- (v1 != v[0] && v1 != v[2]) ? v1 :
- v2;
+ v[1] =
+ (v0 != v[0] && v0 != v[2]) ? v0 : (v1 != v[0] && v1 != v[2]) ? v1 : v2;
//
// std::sort(v, v + 3);
}
diff --git a/contrib/domhex/cross3D.h b/contrib/domhex/cross3D.h
index 803b9ffa89daa97f5d467f20d9bea7b34eb158a1..a8efcd4459098bdad353e18320606fc6fe95ece9 100644
--- a/contrib/domhex/cross3D.h
+++ b/contrib/domhex/cross3D.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -552,12 +552,16 @@ double computeSetSmoothness(std::vector<cross3D> S)
}
}
// on a trouve le quat approprie
- for(unsigned int j = 0; j < 4; j++) { qmean[j] += qTmp[j]; }
+ for(unsigned int j = 0; j < 4; j++) {
+ qmean[j] += qTmp[j];
+ }
}
double normQt = sqrt(qmean[0] * qmean[0] + qmean[1] * qmean[1] +
qmean[2] * qmean[2] + qmean[3] * qmean[3]);
if(normQt != 0.0) {
- for(unsigned int j = 0; j < 4; j++) { qmean[j] = qmean[j] / normQt; }
+ for(unsigned int j = 0; j < 4; j++) {
+ qmean[j] = qmean[j] / normQt;
+ }
}
for(it1 = S.begin(); it1 != S.end(); it1++) {
// pour chaque element du set
@@ -568,7 +572,9 @@ double computeSetSmoothness(std::vector<cross3D> S)
// on trouve la cross appropriee
Qtn qTmpi = cTmp.get(i).correspQuat();
double prodVeci = 0.0;
- for(unsigned int j = 0; j < 4; j++) { prodVeci += qmean[j] * qTmpi.v[j]; }
+ for(unsigned int j = 0; j < 4; j++) {
+ prodVeci += qmean[j] * qTmpi.v[j];
+ }
if(prodVeci >= 0.0) {
if(prodVeci > prodVecMin) {
prodVecMin = prodVeci;
@@ -585,7 +591,9 @@ double computeSetSmoothness(std::vector<cross3D> S)
}
}
// on a trouve le quat approprie
- if(prodVecMin < result) { result = prodVecMin; }
+ if(prodVecMin < result) {
+ result = prodVecMin;
+ }
}
return result;
}
diff --git a/contrib/domhex/directions3D.cpp b/contrib/domhex/directions3D.cpp
index 35d403c4ea772010d9cb358d56f5457b9377a36e..df2de3a073579c408ed63e0eee73d17523627f2c 100644
--- a/contrib/domhex/directions3D.cpp
+++ b/contrib/domhex/directions3D.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -116,7 +116,9 @@ STensor3 Frame_field::search(double x, double y, double z)
ANNidxArray indices;
ANNdistArray distances;
- if(field.size() <= 1) { return STensor3(1.0); }
+ if(field.size() <= 1) {
+ return STensor3(1.0);
+ }
query = annAllocPt(3);
query[0] = x;
@@ -139,7 +141,9 @@ STensor3 Frame_field::search(double x, double y, double z)
#endif
if(fabs(sqrt(distance2) - sqrt(distance1)) < e2) {
- if(labels[index2] < labels[index1]) { return field[index2].second; }
+ if(labels[index2] < labels[index1]) {
+ return field[index2].second;
+ }
else {
return field[index1].second;
}
@@ -174,7 +178,9 @@ STensor3 Frame_field::combine(double x, double y, double z)
val2 = fabs(dot(vec, vec2));
val3 = fabs(dot(vec, vec3));
- if(val1 <= val2 && val1 <= val3) { other = vec1; }
+ if(val1 <= val2 && val1 <= val3) {
+ other = vec1;
+ }
else if(val2 <= val1 && val2 <= val3) {
other = vec2;
}
@@ -340,7 +346,8 @@ int Frame_field::build_vertex_to_vertices(GEntity *gr, int onWhat,
MVertex *pVertex = pElem->getVertex(j);
if(onWhat > 0 && pVertex->onWhat()->dim() != onWhat) continue;
- auto it = vertex_to_vertices.find(pVertex);
+ std::map<MVertex *, std::set<MVertex *> >::iterator it =
+ vertex_to_vertices.find(pVertex);
if(it != vertex_to_vertices.end()) {
for(unsigned int k = 1; k < n; k++)
it->second.insert(pElem->getVertex((j + k) % n));
@@ -366,7 +373,8 @@ int Frame_field::build_vertex_to_elements(GEntity *gr, bool initialize)
unsigned int n = pElem->getNumVertices();
for(unsigned int j = 0; j < n; j++) {
MVertex *pVertex = pElem->getVertex(j);
- auto it = vertex_to_elements.find(pVertex);
+ std::map<MVertex *, std::set<MElement *> >::iterator it =
+ vertex_to_elements.find(pVertex);
if(it != vertex_to_elements.end())
it->second.insert(pElem);
else {
@@ -392,7 +400,8 @@ void Frame_field::build_listVertices(GEntity *gr, int dim, bool initialize)
}
if(initialize) listVertices.clear();
- for(auto it = list.begin(); it != list.end(); it++) {
+ for(std::set<MVertex *>::const_iterator it = list.begin(); it != list.end();
+ it++) {
listVertices.push_back(*it);
}
}
@@ -421,7 +430,7 @@ void Frame_field::deleteAnnData()
#if defined(HAVE_ANN)
if(annTree && annTree->thePoints()) delete annTree->thePoints();
if(annTree) delete annTree;
- annTree = nullptr;
+ annTree = NULL;
#endif
}
@@ -455,7 +464,8 @@ void Frame_field::initFace(GFace *gf)
it != vertex_to_elements.end(); it++) {
std::set<MElement *> elements = it->second;
SVector3 Area = SVector3(0, 0, 0);
- for(auto iter = elements.begin(); iter != elements.end(); iter++) {
+ for(std::set<MElement *>::const_iterator iter = elements.begin();
+ iter != elements.end(); iter++) {
MElement *pElem = *iter;
int n = pElem->getNumVertices();
int i;
@@ -474,7 +484,7 @@ void Frame_field::initFace(GFace *gf)
}
Area.normalize(); // average normal over neighbour face elements
STensor3 m = convert(cross3D(Area));
- auto iter = crossField.find(it->first);
+ std::map<MVertex *, STensor3>::iterator iter = crossField.find(it->first);
if(iter == crossField.end())
crossField.insert(std::pair<MVertex *, STensor3>(it->first, m));
else
@@ -487,7 +497,8 @@ void Frame_field::initFace(GFace *gf)
// of gf
std::vector<GEdge *> const &edges = gf->edges();
vertex_to_elements.clear();
- for(auto it = edges.begin(); it != edges.end(); it++) {
+ for(std::vector<GEdge *>::const_iterator it = edges.begin();
+ it != edges.end(); it++) {
build_vertex_to_elements(*it, false);
}
@@ -506,7 +517,7 @@ void Frame_field::initFace(GFace *gf)
SVector3 tangent = edg1.scaledTangent() + edg2.scaledTangent();
tangent.normalize();
- auto iter = crossField.find(pVertex);
+ std::map<MVertex *, STensor3>::iterator iter = crossField.find(pVertex);
if(iter == crossField.end()) {
std::cout << "This should not happen: cross not found 1" << std::endl;
exit(1);
@@ -538,7 +549,7 @@ void Frame_field::initFace(GFace *gf)
MVertex *pVertex0 = it->first;
if(pVertex0->onWhat()->dim() != 2) continue;
- auto iter = crossField.find(pVertex0);
+ std::map<MVertex *, STensor3>::iterator iter = crossField.find(pVertex0);
cross3D y;
if(iter == crossField.end()) {
std::cout << "This should not happen: cross not found 2" << std::endl;
@@ -628,7 +639,8 @@ double Frame_field::findBarycenter(
SVector3 T = SVector3(0.), dT;
double temp = 0.;
energy = 0;
- for(auto it = list.begin(); it != list.end(); ++it) {
+ for(std::set<MVertex *>::const_iterator it = list.begin(); it != list.end();
+ ++it) {
MVertex *pVertex = *it;
if(pVertex->getNum() == pVertex0->getNum())
std::cout << "This should not happen!" << std::endl;
@@ -701,18 +713,26 @@ void Frame_field::buildSmoothness()
MVertex *v0 = entities[i]->mesh_vertices[j];
V1.insert(v0);
std::vector<MVertex *> v0vec = Neighbours[v0];
- for(unsigned int k = 0; k < v0vec.size(); k++) { V1.insert(v0vec[k]); }
- for(auto itSet = V1.begin(); itSet != V1.end(); itSet++) {
+ for(unsigned int k = 0; k < v0vec.size(); k++) {
+ V1.insert(v0vec[k]);
+ }
+ for(std::set<MVertex *>::iterator itSet = V1.begin(); itSet != V1.end();
+ itSet++) {
MVertex *vTmp = (*itSet);
V2.insert(vTmp);
v0vec = Neighbours[vTmp];
- for(unsigned int k = 0; k < v0vec.size(); k++) { V2.insert(v0vec[k]); }
+ for(unsigned int k = 0; k < v0vec.size(); k++) {
+ V2.insert(v0vec[k]);
+ }
}
- for(auto itSet = V2.begin(); itSet != V2.end(); itSet++) {
+ for(std::set<MVertex *>::iterator itSet = V2.begin(); itSet != V2.end();
+ itSet++) {
MVertex *vTmp = (*itSet);
V3.insert(vTmp);
v0vec = Neighbours[vTmp];
- for(unsigned int k = 0; k < v0vec.size(); k++) { V3.insert(v0vec[k]); }
+ for(unsigned int k = 0; k < v0vec.size(); k++) {
+ V3.insert(v0vec[k]);
+ }
}
// we have all three set here, time to compute the smoothnesses for each
// one
@@ -722,19 +742,22 @@ void Frame_field::buildSmoothness()
double S1 = 0.0;
double S2 = 0.0;
double S3 = 0.0;
- for(auto itSet = V1.begin(); itSet != V1.end(); itSet++) {
+ for(std::set<MVertex *>::iterator itSet = V1.begin(); itSet != V1.end();
+ itSet++) {
MVertex *vTmp = (*itSet);
STensor3 tTmp = crossField[vTmp];
cross3D cTmp = cross3D(tTmp);
C1.push_back(cTmp);
}
- for(auto itSet = V2.begin(); itSet != V2.end(); itSet++) {
+ for(std::set<MVertex *>::iterator itSet = V2.begin(); itSet != V2.end();
+ itSet++) {
MVertex *vTmp = (*itSet);
STensor3 tTmp = crossField[vTmp];
cross3D cTmp = cross3D(tTmp);
C2.push_back(cTmp);
}
- for(auto itSet = V3.begin(); itSet != V3.end(); itSet++) {
+ for(std::set<MVertex *>::iterator itSet = V3.begin(); itSet != V3.end();
+ itSet++) {
MVertex *vTmp = (*itSet);
STensor3 tTmp = crossField[vTmp];
cross3D cTmp = cross3D(tTmp);
@@ -785,7 +808,7 @@ double Frame_field::smooth()
iter != vertex_to_vertices.end(); ++iter) {
// MVertex* pVertex0 = iter->first;
SVector3 T(0, 0, 0);
- auto itA = crossField.find(iter->first);
+ std::map<MVertex *, STensor3>::iterator itA = crossField.find(iter->first);
if(itA == crossField.end()) {
std::cout << "This should not happen" << std::endl;
exit(1);
@@ -851,12 +874,13 @@ void Frame_field::recur_connect_vert(FILE *fi, int count, MVertex *v,
count++;
- for(auto it = v2v.lower_bound(v); it != v2v.upper_bound(v); ++it) {
+ for(std::multimap<MVertex *, MVertex *>::iterator it = v2v.lower_bound(v);
+ it != v2v.upper_bound(v); ++it) {
MVertex *nextV = it->second;
if(touched.find(nextV) == touched.end()) {
// compute dot product (N0,R0,A0) dot (Ni,Ri,Ai)^T
// where N,R,A are the 3 directions
- auto iter = crossField.find(nextV);
+ std::map<MVertex *, STensor3>::iterator iter = crossField.find(nextV);
STensor3 nextCross = iter->second;
STensor3 nextCrossT = nextCross.transpose();
STensor3 prod = cross.operator*=(nextCrossT);
@@ -888,7 +912,9 @@ void Frame_field::recur_connect_vert(FILE *fi, int count, MVertex *v,
// create new cross
fullMatrix<double> newmat(3, 3);
for(int i = 0; i < 3; i++) {
- for(int j = 0; j < 3; j++) { newmat(i, j) = nextCross(Id(i), j); }
+ for(int j = 0; j < 3; j++) {
+ newmat(i, j) = nextCross(Id(i), j);
+ }
}
STensor3 newcross(0.0);
@@ -945,7 +971,8 @@ void Frame_field::continuousCrossField(GRegion *gr, GFace *gf)
iter != vertex_to_vertices.end(); ++iter) {
MVertex *v = iter->first;
std::set<MVertex *> mySet = iter->second;
- for(auto it = mySet.begin(); it != mySet.end(); ++it) {
+ for(std::set<MVertex *>::iterator it = mySet.begin(); it != mySet.end();
+ ++it) {
v2v.insert(std::make_pair(v, *it));
}
}
@@ -953,7 +980,7 @@ void Frame_field::continuousCrossField(GRegion *gr, GFace *gf)
// recursive loop
MVertex *beginV = gf->getMeshVertex(0);
std::set<MVertex *> touched;
- auto iter = crossField.find(beginV);
+ std::map<MVertex *, STensor3>::iterator iter = crossField.find(beginV);
STensor3 bCross = iter->second;
FILE *fi = Fopen("cross_recur.pos", "w");
@@ -1019,7 +1046,8 @@ void Frame_field::save_dist(const std::string &filename)
std::ofstream file(filename.c_str());
file << "View \"Distance\" {\n";
- for(auto it = crossDist.begin(); it != crossDist.end(); it++) {
+ for(std::map<MEdge, double, MEdgeLessThan>::iterator it = crossDist.begin();
+ it != crossDist.end(); it++) {
MVertex *pVerta = it->first.getVertex(0);
MVertex *pVertb = it->first.getVertex(1);
double value = it->second * 180. / M_PI;
@@ -1090,7 +1118,8 @@ void Frame_field::save_energy(GRegion *gr, const std::string &filename)
matvec(inv, gsf[nod1], grd1);
matvec(inv, gsf[nod2], grd2);
SVector3 esf = sf[nod1] * SVector3(grd2) - sf[nod2] * SVector3(grd1);
- auto it = crossDist.find(pTet->getEdge(k));
+ std::map<MEdge, double, MEdgeLessThan>::iterator it =
+ crossDist.find(pTet->getEdge(k));
sum += it->second * esf;
// sum += (pTet->getVertex(nod2)->z() - pTet->getVertex(nod1)->z()) *
// esf;
@@ -1225,7 +1254,9 @@ void Size_field::solve(GRegion *gr)
for(it = interior.begin(); it != interior.end(); it++) {
it2 = boundary.find(*it);
- if(it2 == boundary.end()) { assembler.numberVertex(*it, 0, 1); }
+ if(it2 == boundary.end()) {
+ assembler.numberVertex(*it, 0, 1);
+ }
}
for(i = 0; i < gr->tetrahedra.size(); i++) {
@@ -1235,7 +1266,7 @@ void Size_field::solve(GRegion *gr)
count2 = 0;
volume = 0.0;
simpleFunction<double> ONE(1.0);
- laplaceTerm term(nullptr, 1, &ONE);
+ laplaceTerm term(0, 1, &ONE);
for(i = 0; i < gr->tetrahedra.size(); i++) {
SElement se(gr->tetrahedra[i]);
term.addToMatrix(assembler, &se);
@@ -1245,7 +1276,9 @@ void Size_field::solve(GRegion *gr)
// printf("number of tetrahedra = %d\n",count2);
// printf("volume = %f\n",volume);
- if(assembler.sizeOfR()) { system->systemSolve(); }
+ if(assembler.sizeOfR()) {
+ system->systemSolve();
+ }
for(it = interior.begin(); it != interior.end(); it++) {
assembler.getDofValue(*it, 0, 1, val);
@@ -1272,7 +1305,7 @@ double Size_field::search(double x, double y, double z)
element = (MElement *)octree->find(x, y, z, 3, true);
- if(element != nullptr) {
+ if(element != NULL) {
temp1[0] = x;
temp1[1] = y;
temp1[2] = z;
@@ -1321,9 +1354,13 @@ void Size_field::print_field(GRegion *gr)
// y = (it->first)->y();
// z = (it->first)->z();
- if(it->second > max) { max = it->second; }
+ if(it->second > max) {
+ max = it->second;
+ }
- if(it->second < min) { min = it->second; }
+ if(it->second < min) {
+ min = it->second;
+ }
// printf("x = %f, y = %f, z = %f, mesh size = %f\n",x,y,z,it->second);
}
@@ -1512,7 +1549,7 @@ bool Nearest_point::search(double x, double y, double z, SVector3 &vec)
delete[] indices;
delete[] distances;
- if(vicinity[index] != nullptr) {
+ if(vicinity[index] != NULL) {
found = closest(vicinity[index], SPoint3(x, y, z));
}
else {
@@ -1643,7 +1680,9 @@ double Nearest_point::clamp(double x, double min, double max)
val = x;
- if(val < min) { val = min; }
+ if(val < min) {
+ val = min;
+ }
else if(val > max) {
val = max;
}
diff --git a/contrib/domhex/directions3D.h b/contrib/domhex/directions3D.h
index 7ffdc4eac2f9960306248a0b4324cb95a4660236..3e692e17412ca5157be7b56560e10c792f2d732b 100644
--- a/contrib/domhex/directions3D.h
+++ b/contrib/domhex/directions3D.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
diff --git a/contrib/domhex/meshGFaceQuadrilateralize.cpp b/contrib/domhex/meshGFaceQuadrilateralize.cpp
index 809ff8dfdf3d94d5287f2166119ca362c38fb32e..ddd0928283f2e736b310f74633ac06d2b73b6698 100644
--- a/contrib/domhex/meshGFaceQuadrilateralize.cpp
+++ b/contrib/domhex/meshGFaceQuadrilateralize.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -352,7 +352,9 @@ bool edgeFront::formQuad(BDS_Edge *e, BDS_Edge *left, BDS_Edge *right)
BDS_Point *p = toUpdate[i];
for(std::list<BDS_Edge *>::iterator itp = p->edges.begin();
itp != p->edges.end(); ++itp) {
- if(inFront(*itp)) { updateStatus(*itp); }
+ if(inFront(*itp)) {
+ updateStatus(*itp);
+ }
}
}
return true;
diff --git a/contrib/domhex/meshGFaceQuadrilateralize.h b/contrib/domhex/meshGFaceQuadrilateralize.h
index 2d831af9da2892e3b24149a31f1a62df6dc30ee1..c00642d5dd4158378e4c651bf4f33a6af16e6643 100644
--- a/contrib/domhex/meshGFaceQuadrilateralize.h
+++ b/contrib/domhex/meshGFaceQuadrilateralize.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
diff --git a/contrib/domhex/pointInsertion.cpp b/contrib/domhex/pointInsertion.cpp
index 64b92cc86f4ef2ab4070973f97c33d408fd20a22..3103eb028b5455a5bb3bd8c4482ba7b5873d6414 100644
--- a/contrib/domhex/pointInsertion.cpp
+++ b/contrib/domhex/pointInsertion.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -26,195 +26,6 @@
bool old_algo_hexa() { return true; }
-template <typename T>
-void print_nodal_info(const std::string &filename,
- std::map<MVertex *, T> const &map)
-{
- std::ofstream out(filename.c_str());
-
- out << "View \"\"{" << std::endl;
- for(auto it = map.begin(); it != map.end(); it++) {
- MVertex *v = it->first;
- out << "SP( " << v->x() << "," << v->y() << "," << v->z() << "){"
- << it->second << "};" << std::endl;
- }
- out << "};" << std::endl;
-
- out.close();
-}
-
-bool shoot(const SPoint2 &start, const SPoint2 &dir, const double &h,
- SPoint2 &res)
-{
- const int RK = 1;
-
- if(RK == 1) {
- res = start + (dir * h);
- // std::cout << "(" << start[0] << "," <<start[1] << ") -> (" << res[0]
- // << ","
- // <<res[1] << ") " << std::endl;
- return true;
- }
-
- return false;
-}
-
-bool computeFourNeighbors(frameFieldBackgroundMesh2D *bgm,
- MVertex *v_center, // the vertex for which we want to
- // generate 4 neighbors (real
- // vertex (xyz), not parametric!)
- SPoint2 &midpoint,
- bool goNonLinear, // do we compute the position in
- // the real surface which is
- // nonlinear
- SPoint2 newP[4][NUMDIR], // look into other directions
- SMetric3 &metricField) // the mesh metric
-{
- // we assume that v is on surface gf, and backgroundMesh2D has been created
- // based on gf
-
- // get BGM and GFace
- GFace *gf = dynamic_cast<GFace *>(bgm->getBackgroundGEntity());
-
- // get the parametric coordinates of the point on the surface
- reparamMeshVertexOnFace(v_center, gf, midpoint);
-
- // get RK info on midpoint (infos in two directions...)
- RK_form infos;
- bgm->compute_RK_infos(midpoint[0], midpoint[1], v_center->x(), v_center->y(),
- v_center->z(), infos);
- metricField = infos.metricField;
-
- // shoot in four directions
- SPoint2 param_vec;
- double h;
- for(int i = 0; i < 4; i++) { // in four directions
- switch(i) {
- case 0:
- param_vec = infos.paramt1;
- h = infos.paramh.first;
- break;
- case 1:
- param_vec = infos.paramt2;
- h = infos.paramh.second;
- break;
- case 2:
- param_vec = infos.paramt1 * -1.;
- h = infos.paramh.first;
- break;
- case 3:
- param_vec = infos.paramt2 * -1.;
- h = infos.paramh.second;
- break;
- }
- shoot(midpoint, param_vec, h, newP[i][0]);
- // std::cout << "(" << midpoint[0] << "," <<midpoint[1] << ") -> (" <<
- // newP[i][0][0] << "," << newP[i][0][1] << ") " << std::endl;
- }
-
- // the following comes from surfaceFiller.cpp...
- const double EPS = 1.e-7;
- for(int j = 0; j < 2; j++) {
- for(int i = 0; i < 4; i++) {
- newP[i][0][j] += (EPS * (double)rand() / RAND_MAX);
- }
- }
-
- // We could stop here. Yet, if the metric varies a lot, we can solve a
- // nonlinear problem in order to find a better approximation in the real
- // surface
- if(1 && goNonLinear) {
- double L = infos.localsize;
- double newPoint[4][2];
- for(int j = 0; j < 2; j++) {
- for(int i = 0; i < 4; i++) { newPoint[i][j] = newP[i][0][j]; }
- }
- double ERR[4];
- for(int i = 0; i < 4; i++) { //
- // if (newPoint[i][0] < rangeU.low())newPoint[i][0] = rangeU.low();
- // if (newPoint[i][0] > rangeU.high())newPoint[i][0] = rangeU.high();
- // if (newPoint[i][1] < rangeV.low())newPoint[i][1] = rangeV.low();
- // if (newPoint[i][1] > rangeV.high())newPoint[i][1] = rangeV.high();
- GPoint pp = gf->point(newP[i][0]);
- double D = sqrt((pp.x() - v_center->x()) * (pp.x() - v_center->x()) +
- (pp.y() - v_center->y()) * (pp.y() - v_center->y()) +
- (pp.z() - v_center->z()) * (pp.z() - v_center->z()));
- ERR[i] = 100 * fabs(D - L) / (D + L);
- // printf("L = %12.5E D = %12.5E ERR =
- // %12.5E\n",L,D,100*fabs(D-L)/(D+L));
- }
-
- surfaceFunctorGFace ss(gf);
- SVector3 dirs[4] = {infos.t1 * (-1.0), infos.t2 * (-1.0), infos.t1 * (1.0),
- infos.t2 * (1.0)};
- for(int i = 0; i < 4; i++) {
- if(ERR[i] > 12) {
- double uvt[3] = {newPoint[i][0], newPoint[i][1], 0.0};
- // printf("Intersecting with circle N = %g %g %g dir = %g %g %g R
- // = %g p = %g %g
- // %g\n",n.x(),n.y(),n.z(),dirs[i].x(),dirs[i].y(),dirs[i].z(),L,
- // v_center->x(),v_center->y(),v_center->z());
- curveFunctorCircle cf(
- dirs[i], infos.normal,
- SVector3(v_center->x(), v_center->y(), v_center->z()), L);
- if(intersectCurveSurface(cf, ss, uvt, infos.paramh.first * 1.e-3)) {
- GPoint pp = gf->point(SPoint2(uvt[0], uvt[1]));
- double D = sqrt((pp.x() - v_center->x()) * (pp.x() - v_center->x()) +
- (pp.y() - v_center->y()) * (pp.y() - v_center->y()) +
- (pp.z() - v_center->z()) * (pp.z() - v_center->z()));
- double DP =
- sqrt((newPoint[i][0] - uvt[0]) * (newPoint[i][0] - uvt[0]) +
- (newPoint[i][1] - uvt[1]) * (newPoint[i][1] - uvt[1]));
- double newErr = 100 * fabs(D - L) / (D + L);
- // if (v_center->onWhat() != gf && gf->tag() == 3){
- // crossField2d::normalizeAngle (uvt[2]);
- // printf("INTERSECT angle = %g DP %g\n",uvt[2],DP);
- // }
- if(newErr < 1 && DP < .1) {
- // printf("%12.5E vs %12.5E : %12.5E %12.5E vs %12.5E %12.5E
- // \n",ERR[i],newErr,newPoint[i][0],newPoint[i][1],uvt[0],uvt[1]);
- newPoint[i][0] = uvt[0];
- newPoint[i][1] = uvt[1];
- }
- // printf("OK\n");
- }
- else {
- Msg::Debug("Cannot put a new point on Surface %d", gf->tag());
- // printf("NOT OK\n");
- }
- }
- }
-
- // return the four new vertices
- for(int i = 0; i < 4; i++) {
- newP[i][0] = SPoint2(newPoint[i][0], newPoint[i][1]);
- }
- }
-
- return true;
-}
-
-void computeTwoNeighbors(frameFieldBackgroundMesh3D *bgm, MVertex *parent,
- std::vector<MVertex *> &spawns, SVector3 dir, double h)
-{
- // using approximate size, RK1...
- double x = parent->x();
- double y = parent->y();
- double z = parent->z();
- double newx, newy, newz;
- GRegion *gr = dynamic_cast<GRegion *>(bgm->getBackgroundGEntity());
-
- newx = x + h * dir(0);
- newy = y + h * dir(1);
- newz = z + h * dir(2);
- spawns[0] = new MVertex(newx, newy, newz, gr, 0);
-
- newx = x - h * dir(0);
- newy = y - h * dir(1);
- newz = z - h * dir(2);
- spawns[1] = new MVertex(newx, newy, newz, gr, 0);
-}
-
void computeSixNeighbors(frameFieldBackgroundMesh3D *bgm, MVertex *parent,
std::vector<MVertex *> &spawns, STensor3 dir, double h)
{
@@ -245,199 +56,11 @@ Filler2D::Filler2D() {}
Filler2D::~Filler2D()
{
- std::cout << "FILLER2D timing:" << std::endl;
- std::cout << " ------- CUMULATIVE TIME2D bgm & smoothing : "
- << time_bgm_and_smoothing << " s." << std::endl;
- std::cout << " ------- CUMULATIVE TIME2D inserting points : "
- << time_insertion << " s." << std::endl;
- std::cout << " ------- TOTAL 2D TIME (new) : "
- << time_bgm_and_smoothing + time_insertion << " s." << std::endl;
}
void Filler2D::pointInsertion2D(GFace *gf, std::vector<MVertex *> &packed,
std::vector<SMetric3> &metrics)
{
- // NB/ do not use the mesh in GFace, use the one in backgroundMesh2D!
-
- // if(debug) std::cout << " ------------------ OLD -------------------" <<
- // std::endl; stringstream ssa;
- //// ssa << "oldbgm_angles_" << gf->tag() << ".pos";
- //// backgroundMesh::current()->print(ssa.str(),gf,1);
- // ssa << "oldbgm_sizes_" << gf->tag() << ".pos";
- // backgroundMesh::current()->print(ssa.str(),gf,0);
- //
- //
- //
- //
- // if(debug) std::cout << " ------------------ NEW -------------------" <<
- // std::endl; backgroundMesh2D *bgm2 =
- // dynamic_cast<backgroundMesh2D*>(BGMManager::get(gf)); stringstream ss2;
- // ss2 << "basebg_sizefield_" << gf->tag() << ".pos";
- // bgm2->exportSizeField(ss2.str());
- //
- //
- //
- // return;
- //
-
- BGMManager::set_use_cross_field(true);
-
- const bool goNonLinear = true;
- const bool debug = false;
- const bool export_stuff = true;
-
- if(debug) std::cout << "ENTERING POINTINSERTION2D" << std::endl;
-
- double a;
-
- // acquire background mesh
- if(debug) std::cout << "pointInsertion2D: recover BGM" << std::endl;
- a = Cpu();
- frameFieldBackgroundMesh2D *bgm =
- dynamic_cast<frameFieldBackgroundMesh2D *>(BGMManager::get(gf));
- time_bgm_and_smoothing += (Cpu() - a);
-
- if(!bgm) {
- Msg::Error("BGM dynamic cast failed in filler2D::pointInsertion2D");
- return;
- }
-
- // export BGM size field
- if(export_stuff) {
- std::cout << "pointInsertion2D: export size field " << std::endl;
- std::stringstream ss;
- ss << "bg2D_sizefield_" << gf->tag() << ".pos";
- bgm->exportSizeField(ss.str());
-
- std::cout << "pointInsertion2D : export crossfield " << std::endl;
- std::stringstream sscf;
- sscf << "bg2D_crossfield_" << gf->tag() << ".pos";
- bgm->exportCrossField(sscf.str());
-
- std::cout << "pointInsertion2D : export smoothness " << std::endl;
- std::stringstream sss;
- sss << "bg2D_smoothness_" << gf->tag() << ".pos";
- bgm->exportSmoothness(sss.str());
- }
-
- // point insertion algorithm:
- a = Cpu();
-
- // for debug check...
- int priority_counter = 0;
- std::map<MVertex *, int> vert_priority;
-
- // get all the boundary vertices
- if(debug) std::cout << "pointInsertion2D : get bnd vertices " << std::endl;
- std::set<MVertex *> bnd_vertices = bgm->get_vertices_of_maximum_dim(1);
-
- // put boundary vertices in a fifo queue
- std::set<smoothness_point_pair,
- compareSurfacePointWithExclusionRegionPtr_Smoothness>
- fifo;
- std::vector<surfacePointWithExclusionRegion *> vertices;
-
- // initiate the rtree
- if(debug) std::cout << "pointInsertion2D : initiate RTree " << std::endl;
- RTree<surfacePointWithExclusionRegion *, double, 2, double> rtree;
- SMetric3 metricField(1.0);
- SPoint2 newp[4][NUMDIR];
- auto it = bnd_vertices.begin();
-
- for(; it != bnd_vertices.end(); ++it) {
- SPoint2 midpoint;
- computeFourNeighbors(bgm, *it, midpoint, goNonLinear, newp, metricField);
- surfacePointWithExclusionRegion *sp =
- new surfacePointWithExclusionRegion(*it, newp, midpoint, metricField);
-
- smoothness_point_pair mp;
- mp.ptr = sp;
- mp.rank = (1. - bgm->get_smoothness(midpoint[0], midpoint[1]));
- fifo.insert(mp);
-
- vertices.push_back(sp);
- double _min[2], _max[2];
- sp->minmax(_min, _max);
- rtree.Insert(_min, _max, sp);
- }
-
- // ---------- main loop -----------------
- while(!fifo.empty()) {
- if(debug)
- std::cout << " -------- fifo.size() = " << fifo.size() << std::endl;
- int count_nbaddedpt = 0;
-
- surfacePointWithExclusionRegion *parent = (*fifo.begin()).ptr;
- fifo.erase(fifo.begin());
-
- for(int dir = 0; dir < NUMDIR; dir++) {
- for(int i = 0; i < 4; i++) {
- if(!inExclusionZone(parent->_p[i][dir], rtree, vertices)) {
- GPoint gp = gf->point(parent->_p[i][dir]);
- MFaceVertex *v =
- new MFaceVertex(gp.x(), gp.y(), gp.z(), gf, gp.u(), gp.v());
- SPoint2 midpoint;
- computeFourNeighbors(bgm, v, midpoint, goNonLinear, newp,
- metricField);
- surfacePointWithExclusionRegion *sp =
- new surfacePointWithExclusionRegion(v, newp, midpoint, metricField,
- parent);
- smoothness_point_pair mp;
- mp.ptr = sp;
- mp.rank = (1. - bgm->get_smoothness(gp.u(), gp.v()));
-
- if(debug) vert_priority[v] = priority_counter++;
-
- fifo.insert(mp);
- vertices.push_back(sp);
- double _min[2], _max[2];
- sp->minmax(_min, _max);
- rtree.Insert(_min, _max, sp);
-
- if(debug) {
- std::cout << " adding node (" << sp->_v->x() << "," << sp->_v->y()
- << "," << sp->_v->z() << ")" << std::endl;
- std::cout
- << " ----------------------------- sub --- fifo.size() = "
- << fifo.size() << std::endl;
- }
- count_nbaddedpt++;
- }
- }
- }
- if(debug)
- std::cout << "////////// nbre of added point: " << count_nbaddedpt
- << std::endl;
- }
- time_insertion += (Cpu() - a);
-
- if(debug) {
- std::stringstream ss;
- ss << "priority_" << gf->tag() << ".pos";
- print_nodal_info(ss.str().c_str(), vert_priority);
- ss.clear();
- }
-
- // add the vertices as additional vertices in the
- // surface mesh
- char ccc[256];
- sprintf(ccc, "points%d.pos", gf->tag());
- FILE *f = Fopen(ccc, "w");
- if(f) {
- fprintf(f, "View \"\"{\n");
- for(unsigned int i = 0; i < vertices.size(); i++) {
- vertices[i]->print(f, i);
- if(vertices[i]->_v->onWhat() == gf) {
- packed.push_back(vertices[i]->_v);
- metrics.push_back(vertices[i]->_meshMetric);
- SPoint2 midpoint;
- reparamMeshVertexOnFace(vertices[i]->_v, gf, midpoint);
- }
- delete vertices[i];
- }
- fprintf(f, "};");
- fclose(f);
- }
}
bool Filler3D::treat_region(GRegion *gr)
@@ -533,7 +156,8 @@ bool Filler3D::treat_region(GRegion *gr)
MElement *element;
MVertex *vertex;
std::vector<GFace *> faces = gr->faces();
- for(auto it = faces.begin(); it != faces.end(); it++) {
+ for(std::vector<GFace *>::iterator it = faces.begin(); it != faces.end();
+ it++) {
GFace *gf = *it;
// int limit = code_kesskessai(gf->tag());
for(unsigned int i = 0; i < gf->getNumMeshElements(); i++) {
@@ -548,7 +172,7 @@ bool Filler3D::treat_region(GRegion *gr)
}
int geodim;
- for(auto it = temp.begin(); it != temp.end(); it++) {
+ for(std::set<MVertex *>::iterator it = temp.begin(); it != temp.end(); it++) {
geodim = (*it)->onWhat()->dim();
if((geodim == 0) || (geodim == 1) || (geodim == 2))
boundary_vertices.push_back(*it);
@@ -579,7 +203,9 @@ bool Filler3D::treat_region(GRegion *gr)
bgm->eval_approximate_crossfield(closest, svp->cf);
fifo->insert(svp);
- if(debug) { smoothness_forplot[svp->v] = svp->rank; }
+ if(debug) {
+ smoothness_forplot[svp->v] = svp->rank;
+ }
}
else {
STensor3 temp;
@@ -621,16 +247,9 @@ bool Filler3D::treat_region(GRegion *gr)
// }
std::vector<MVertex *> spawns;
- if(!use_vectorial_smoothness) {
- spawns.resize(6);
- computeSixNeighbors(bgm, parent, spawns, fifo->get_first_crossfield(),
- fifo->get_first_size());
- }
- else {
- spawns.resize(2);
- computeTwoNeighbors(bgm, parent, spawns, fifo->get_first_direction(),
- fifo->get_first_size());
- }
+ spawns.resize(6);
+ computeSixNeighbors(bgm, parent, spawns, fifo->get_first_crossfield(),
+ fifo->get_first_size());
fifo->erase_first();
// std::cout << "while, fifo->size()=" << fifo->size() << " parent=(" <<
@@ -709,7 +328,9 @@ bool Filler3D::treat_region(GRegion *gr)
}
}
}
- if(!spawn_created) { delete individual; }
+ if(!spawn_created) {
+ delete individual;
+ }
} // end loop on spawns
}
@@ -717,18 +338,6 @@ bool Filler3D::treat_region(GRegion *gr)
time_insert_points += (Cpu() - a);
- // --- output ---
- if(debug) {
- std::stringstream ss;
- ss << "priority_3D_" << gr->tag() << ".pos";
- print_nodal_info(ss.str().c_str(), vert_priority);
- ss.clear();
-
- std::stringstream sss;
- sss << "smoothness_3D_" << gr->tag() << ".pos";
- print_nodal_info(sss.str().c_str(), smoothness_forplot);
- sss.clear();
- }
// ------- meshing using new points
std::cout << "tets in gr before= " << gr->tetrahedra.size() << std::endl;
diff --git a/contrib/domhex/pointInsertion.h b/contrib/domhex/pointInsertion.h
index 2b99ca620213c6389cde1c8a5152e2e2b1a47eb5..70a8b20f174e32a9c0fae3b487727da3189f6c0f 100644
--- a/contrib/domhex/pointInsertion.h
+++ b/contrib/domhex/pointInsertion.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
diff --git a/contrib/domhex/pointInsertionRTreeTools.cpp b/contrib/domhex/pointInsertionRTreeTools.cpp
index 3c62d1adf5f3a464aefc14bf76abc782f4fcdf3c..9dc1759a791358c413cdd11ad1fc2faf373a005b 100644
--- a/contrib/domhex/pointInsertionRTreeTools.cpp
+++ b/contrib/domhex/pointInsertionRTreeTools.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -12,32 +12,34 @@
#include "GEntity.h"
#include "fullMatrix.h"
-surfacePointWithExclusionRegion::surfacePointWithExclusionRegion(
- MVertex *v, SPoint2 p[4][NUMDIR], SPoint2 &_mp, SMetric3 &meshMetric,
- surfacePointWithExclusionRegion *father)
+surfacePointWithExclusionRegion::surfacePointWithExclusionRegion(MVertex *v, SPoint2 p[8], SPoint2 &_mp, SMetric3 &meshMetric,
+ surfacePointWithExclusionRegion *father)
{
_v = v;
_meshMetric = meshMetric;
_center = _mp;
- for(int i = 0; i < 4; i++)
- _q[i] = _center + (p[i][0] + p[(i + 1) % 4][0] - _center * 2) * FACTOR;
- for(int i = 0; i < 4; i++)
- for(int j = 0; j < NUMDIR; j++) _p[i][j] = p[i][j];
+ for(int i = 0; i < 4; i++){
+ _q[i] = _center + (p[i] + p[(i + 1) % 4] - _center * 2) * FACTOR;
+ // printf("%g %g vs %g %g\n",_q[i].x(),_q[i].y(),p[i+4].x(),p[i+4].y());
+ // _q[i] = p[i+4];
+ }
+ for(int i = 0; i < 4; i++)_p[i] = p[i];
if(!father) {
- fullMatrix<double> V(3, 3);
- fullVector<double> S(3);
- meshMetric.eig(V, S);
- double l = std::max(std::max(S(0), S(1)), S(2));
- _distanceSummed = sqrt(1 / (l * l));
+ _father = NULL;
}
else {
- _distanceSummed = father->_distanceSummed + distance(father->_v, _v);
+ _father = father->_v;
}
}
-bool surfacePointWithExclusionRegion::inExclusionZone(const SPoint2 &p)
+bool surfacePointWithExclusionRegion::inExclusionZone(const SPoint2 &p, MVertex *parent)
{
+ if (_father == parent) {
+ // printf("parent = me\n");
+ return false;
+ }
+
double mat[2][2];
double b[2], uv[2];
mat[0][0] = _q[1].x() - _q[0].x();
@@ -76,59 +78,40 @@ void surfacePointWithExclusionRegion::minmax(double _min[2],
void surfacePointWithExclusionRegion::print(FILE *f, int i)
{
+ // fprintf(f, "SP(%g,%g,%g){%d};\n", _v->x(), _v->y(), _v->z(), i);
+ // return;
fprintf(f, "SP(%g,%g,%g){%d};\n", _center.x(), _center.y(), 0.0, i);
fprintf(f, "SQ(%g,%g,%g,%g,%g,%g,%g,%g,%g,%g,%g,%g){%d,%d,%d,%d};\n",
_q[0].x(), _q[0].y(), 0.0, _q[1].x(), _q[1].y(), 0.0, _q[2].x(),
_q[2].y(), 0.0, _q[3].x(), _q[3].y(), 0.0, i, i, i, i);
+
}
-my_wrapper::my_wrapper(const SPoint2 &sp) : _tooclose(false), _p(sp) {}
-
bool rtree_callback(surfacePointWithExclusionRegion *neighbour, void *point)
{
my_wrapper *w = static_cast<my_wrapper *>(point);
- if(neighbour->inExclusionZone(w->_p)) {
+ if(neighbour->inExclusionZone(w->_p, w->_parent)) {
w->_tooclose = true;
return false;
}
-
return true;
}
bool inExclusionZone(
+ MVertex *parent,
SPoint2 &p,
- RTree<surfacePointWithExclusionRegion *, double, 2, double> &rtree,
- std::vector<surfacePointWithExclusionRegion *> &all)
+ RTree<surfacePointWithExclusionRegion *, double, 2, double> &rtree)
{
- // should assert that the point is inside the domain
- // OLD BGM
- if(old_algo_hexa()) {
- if(!backgroundMesh::current()->inDomain(p.x(), p.y(), 0)) return true;
- }
- else {
- // NEW BGM
- if(!BGMManager::current2D()->inDomain(p.x(), p.y(), 0)) return true;
- }
-
- my_wrapper w(p);
+ my_wrapper w(p, parent);
double _min[2] = {p.x() - 1.e-1, p.y() - 1.e-1},
_max[2] = {p.x() + 1.e-1, p.y() + 1.e-1};
rtree.Search(_min, _max, rtree_callback, &w);
return w._tooclose;
-
- for(unsigned int i = 0; i < all.size(); ++i) {
- if(all[i]->inExclusionZone(p)) {
- // printf("%g %g is in exclusion zone of %g
- // %g\n",p.x(),p.y(),all[i]._center.x(),all[i]._center.y());
- return true;
- }
- }
- return false;
}
-frameFieldBackgroundMesh3D *Wrapper3D::bgmesh = nullptr;
+frameFieldBackgroundMesh3D *Wrapper3D::bgmesh = NULL;
double infinity_distance_3D(const MVertex *v1, const MVertex *v2, STensor3 &cf)
{
diff --git a/contrib/domhex/pointInsertionRTreeTools.h b/contrib/domhex/pointInsertionRTreeTools.h
index 32498f9b963017867bd0dc26b89db0c4449529cd..39cead2d0e2174573da428e91e304e0165752322 100644
--- a/contrib/domhex/pointInsertionRTreeTools.h
+++ b/contrib/domhex/pointInsertionRTreeTools.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -14,15 +14,16 @@
#include "STensor3.h"
#include "BackgroundMesh3D.h"
#include "GEntity.h"
+#include "GFace.h"
#include "rtree.h"
static const double k1 = 0.61; // k1*h is the minimal distance between two nodes
static const double k2 = 0.5; // k2*h is the minimal distance to the boundary
static const double sqrt3 = 1.73205081;
-static const double FACTOR = .71;
+static const double FACTOR = .61;
-static const int NUMDIR = 1;
-static const double DIRS[NUMDIR] = {0.0};
+//static const int NUMDIR = 1;
+//static const double DIRS[NUMDIR] = {0.0};
// static const int NUMDIR = 3;
// static const double DIRS [NUMDIR] = {0.0, M_PI/20.,-M_PI/20.};
@@ -30,11 +31,11 @@ static const double DIRS[NUMDIR] = {0.0};
class surfacePointWithExclusionRegion {
public:
MVertex *_v;
+ MVertex *_father;
SPoint2 _center;
- SPoint2 _p[4][NUMDIR];
+ SPoint2 _p[4];
SPoint2 _q[4];
SMetric3 _meshMetric;
- double _distanceSummed;
/*
+ p3
p4 |
@@ -43,11 +44,11 @@ public:
+ p1
*/
- surfacePointWithExclusionRegion(
- MVertex *v, SPoint2 p[4][NUMDIR], SPoint2 &_mp, SMetric3 &meshMetric,
- surfacePointWithExclusionRegion *father = nullptr);
+ surfacePointWithExclusionRegion(MVertex *v, SPoint2 p[8],
+ SPoint2 &_mp, SMetric3 &meshMetric,
+ surfacePointWithExclusionRegion *father = 0);
- bool inExclusionZone(const SPoint2 &p);
+ bool inExclusionZone(const SPoint2 &p, MVertex *v);
void minmax(double _min[2], double _max[2]) const;
void print(FILE *f, int i);
};
@@ -55,47 +56,18 @@ public:
class my_wrapper {
public:
bool _tooclose;
+ MVertex *_parent;
SPoint2 _p;
- my_wrapper(const SPoint2 &sp);
+ my_wrapper(const SPoint2 &sp, MVertex *parent) :
+ _p(sp), _parent(parent), _tooclose(false){}
};
-struct smoothness_point_pair {
- double rank;
- surfacePointWithExclusionRegion *ptr;
-};
-
-class compareSurfacePointWithExclusionRegionPtr_Smoothness {
-public:
- inline bool operator()(const smoothness_point_pair &a,
- const smoothness_point_pair &b) const
- {
- if(a.rank == b.rank) {
- if(a.ptr->_distanceSummed > b.ptr->_distanceSummed) return false;
- if(a.ptr->_distanceSummed < b.ptr->_distanceSummed) return true;
- return a.ptr < b.ptr;
- }
- return (a.rank < b.rank);
- }
-};
-
-class compareSurfacePointWithExclusionRegionPtr {
-public:
- inline bool operator()(const surfacePointWithExclusionRegion *a,
- const surfacePointWithExclusionRegion *b) const
- {
- if(a->_distanceSummed > b->_distanceSummed) return false;
- if(a->_distanceSummed < b->_distanceSummed) return true;
- return a < b;
- }
-};
+ bool rtree_callback(surfacePointWithExclusionRegion *neighbour,
+ void *point);
-extern bool rtree_callback(surfacePointWithExclusionRegion *neighbour,
- void *point);
-
-extern bool inExclusionZone(
- SPoint2 &p,
- RTree<surfacePointWithExclusionRegion *, double, 2, double> &rtree,
- std::vector<surfacePointWithExclusionRegion *> &all);
+bool inExclusionZone(MVertex *parent,
+ SPoint2 &p,
+ RTree<surfacePointWithExclusionRegion *, double, 2, double> &rtree);
class Wrapper3D {
private:
@@ -107,14 +79,9 @@ private:
bool ok;
public:
- Wrapper3D()
- : individual(nullptr), parent(nullptr), size(nullptr), cf(nullptr),
- vec(nullptr), ok(true)
- {
- }
+ Wrapper3D() : individual(0), parent(0), size(0), cf(0), vec(0), ok(true) {}
Wrapper3D(MVertex *_i, MVertex *_p)
- : individual(_i), parent(_p), size(nullptr), cf(nullptr), vec(nullptr),
- ok(true)
+ : individual(_i), parent(_p), size(0), cf(0), vec(0), ok(true)
{
}
~Wrapper3D() {}
@@ -146,7 +113,7 @@ extern void fill_min_max(double x, double y, double z, double h, double *min,
// listOfPoints AND in RTree: larger memory footprint but less CPU time...
class smoothness_vertex_pair {
public:
- smoothness_vertex_pair() : rank(0.), size(0.), v(nullptr), dir(0), layer(0) {}
+ smoothness_vertex_pair() : rank(0.), size(0.), v(0), dir(0), layer(0) {}
~smoothness_vertex_pair() {}
STensor3 cf;
SVector3 direction;
diff --git a/contrib/domhex/simple3D.cpp b/contrib/domhex/simple3D.cpp
index 88770a91bbe64e05cbc21d8df6708a37ff36a71f..9161546102349c2d87e2a9d715b45a191752c156 100644
--- a/contrib/domhex/simple3D.cpp
+++ b/contrib/domhex/simple3D.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -282,7 +282,9 @@ void Filler::treat_model()
for(it = model->firstRegion(); it != model->lastRegion(); it++) {
gr = *it;
- if(gr->getNumMeshElements() > 0) { treat_region(gr); }
+ if(gr->getNumMeshElements() > 0) {
+ treat_region(gr);
+ }
}
}
@@ -345,15 +347,21 @@ void Filler::treat_region(GRegion *gr)
}
for(it = temp.begin(); it != temp.end(); it++) {
- if((*it)->onWhat()->dim() == 0) { boundary_vertices.push_back(*it); }
+ if((*it)->onWhat()->dim() == 0) {
+ boundary_vertices.push_back(*it);
+ }
}
for(it = temp.begin(); it != temp.end(); it++) {
- if((*it)->onWhat()->dim() == 1) { boundary_vertices.push_back(*it); }
+ if((*it)->onWhat()->dim() == 1) {
+ boundary_vertices.push_back(*it);
+ }
}
for(it = temp.begin(); it != temp.end(); it++) {
- if((*it)->onWhat()->dim() == 2) { boundary_vertices.push_back(*it); }
+ if((*it)->onWhat()->dim() == 2) {
+ boundary_vertices.push_back(*it);
+ }
}
std::queue<Node *> fifo;
@@ -386,7 +394,9 @@ void Filler::treat_region(GRegion *gr)
}
std::vector<Node *> spawns(6);
- for(int i = 0; i < 6; i++) { spawns[i] = new Node(); }
+ for(int i = 0; i < 6; i++) {
+ spawns[i] = new Node();
+ }
create_spawns(gr, octree, parent, spawns);
@@ -423,7 +433,9 @@ void Filler::treat_region(GRegion *gr)
if(!ok2) delete individual;
}
- if(count % 100 == 0) { printf("%d\n", count); }
+ if(count % 100 == 0) {
+ printf("%d\n", count);
+ }
count++;
}
@@ -489,7 +501,9 @@ Metric Filler::get_metric(double x, double y, double z, GEntity *ge)
manager = ge->model()->getFields();
if(manager->getBackgroundField() > 0) {
field = manager->get(manager->getBackgroundField());
- if(field) { (*field)(x, y, z, temp, ge); }
+ if(field) {
+ (*field)(x, y, z, temp, ge);
+ }
}
m.set_m11(v1.x());
@@ -522,7 +536,9 @@ double Filler::get_size(double x, double y, double z, GEntity *ge)
manager = ge->model()->getFields();
if(manager->getBackgroundField() > 0) {
field = manager->get(manager->getBackgroundField());
- if(field) { h = (*field)(x, y, z, ge); }
+ if(field) {
+ h = (*field)(x, y, z, ge);
+ }
}
return h;
@@ -532,7 +548,7 @@ bool Filler::inside_domain(MElementOctree *octree, double x, double y, double z)
{
MElement *element;
element = (MElement *)octree->find(x, y, z, 3, true);
- if(element != nullptr)
+ if(element != NULL)
return 1;
else
return 0;
@@ -558,8 +574,8 @@ bool Filler::far_from_boundary(MElementOctree *octree, Node *node)
e5 = (MElement *)octree->find(x, y, z + k2 * h, 3, true);
e6 = (MElement *)octree->find(x, y, z - k2 * h, 3, true);
- if(e1 != nullptr && e2 != nullptr && e3 != nullptr && e4 != nullptr &&
- e5 != nullptr && e6 != nullptr)
+ if(e1 != NULL && e2 != NULL && e3 != NULL && e4 != NULL && e5 != NULL &&
+ e6 != NULL)
return 1;
else
return 0;
@@ -668,14 +684,18 @@ double Filler::improvement(GEntity *ge, MElementOctree *octree,
y = point.y() + h1 * direction.y();
z = point.z() + h1 * direction.z();
- if(inside_domain(octree, x, y, z)) { h2 = get_size(x, y, z); }
+ if(inside_domain(octree, x, y, z)) {
+ h2 = get_size(x, y, z);
+ }
else
h2 = h1;
coeffA = 1.0;
coeffB = 0.16;
- if(h2 > h1) { average = coeffA * h1 + (1.0 - coeffA) * h2; }
+ if(h2 > h1) {
+ average = coeffA * h1 + (1.0 - coeffA) * h2;
+ }
else {
average = coeffB * h1 + (1.0 - coeffB) * h2;
}
diff --git a/contrib/domhex/simple3D.h b/contrib/domhex/simple3D.h
index f5e703d88d33f38d0a52a9ac3613aa9f3ba43694..0e244e61ba5a3526445e186e91f502442d6a10e5 100644
--- a/contrib/domhex/simple3D.h
+++ b/contrib/domhex/simple3D.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
diff --git a/contrib/domhex/surfaceFiller.cpp b/contrib/domhex/surfaceFiller.cpp
index 003bb90d58065c0ed5829474407a46432a63c208..663ee8b8cb0346330ce190a0054c767cb3723b7d 100644
--- a/contrib/domhex/surfaceFiller.cpp
+++ b/contrib/domhex/surfaceFiller.cpp
@@ -16,6 +16,7 @@
#include "rtree.h"
#include "MVertex.h"
#include "MElement.h"
+#include "MLine.h"
#include "BackgroundMesh.h"
#include "intersectCurveSurface.h"
#include "pointInsertionRTreeTools.h"
@@ -42,31 +43,26 @@ bool compute4neighbors(
GFace *gf, // the surface
MVertex *v_center, // the wertex for which we wnt to generate 4 neighbors
SPoint2 &midpoint,
- bool goNonLinear, // do we compute the position in the real surface which is
- // nonlinear
- SPoint2 newP[4][NUMDIR], // look into other directions
- SMetric3 &metricField, FILE *crossf = nullptr) // the mesh metric
+ SPoint2 newP[8], // look into other directions
+ SMetric3 &metricField,// the mesh metric
+ Field *f,
+ double du,
+ double dv,
+ double mult)
{
// we assume that v is on surface gf
// get the parameter of the point on the surface
reparamMeshVertexOnFace(v_center, gf, midpoint);
-
- double L =
- backgroundMesh::current()->operator()(midpoint[0], midpoint[1], 0.0);
+
+ midpoint = SPoint2(midpoint.x() + du,midpoint.y() + dv);
+
+ SVector3 t1;
+ (*f)(v_center->x(), v_center->y(), v_center->z(), t1, gf);
+ double L = t1.norm()*mult;
+ // printf("L = %12.5E\n",L);
metricField = SMetric3(1. / (L * L));
- FieldManager *fields = gf->model()->getFields();
- if(fields->getBackgroundField() > 0) {
- Field *f = fields->get(fields->getBackgroundField());
- if(!f->isotropic()) {
- (*f)(v_center->x(), v_center->y(), v_center->z(), metricField, gf);
- }
- else {
- L = (*f)(v_center->x(), v_center->y(), v_center->z(), gf);
- metricField = SMetric3(1. / (L * L));
- }
- }
-
+
// get the unit normal at that point
Pair<SVector3, SVector3> der =
gf->firstDer(SPoint2(midpoint[0], midpoint[1]));
@@ -74,691 +70,358 @@ bool compute4neighbors(
SVector3 s2 = der.second();
SVector3 n = crossprod(s1, s2);
n.normalize();
-
- double M = dot(s1, s1);
- double N = dot(s2, s2);
- double E = dot(s1, s2);
-
- // compute the first fundamental form i.e. the metric tensor at the point
- // M_{ij} = s_i \cdot s_j
- double metric[2][2] = {{M, E}, {E, N}};
-
- SVector3 basis_u = s1;
- basis_u.normalize();
- SVector3 basis_v = crossprod(n, basis_u);
-
- for(int DIR = 0; DIR < NUMDIR; DIR++) {
- double quadAngle =
- backgroundMesh::current()->getAngle(midpoint[0], midpoint[1], 0) +
- DIRS[DIR];
-
- // normalize vector t1 that is tangent to gf at midpoint
- SVector3 t1 = basis_u * cos(quadAngle) + basis_v * sin(quadAngle);
- t1.normalize();
-
- // compute the second direction t2 and normalize (t1,t2,n) is the tangent
- // frame
- SVector3 t2 = crossprod(n, t1);
- t2.normalize();
- if(DIR == 0 && crossf)
- fprintf(crossf, "VP(%g,%g,%g) {%g,%g,%g};\n", v_center->x(),
- v_center->y(), v_center->z(), t1.x(), t1.y(), t1.z());
- if(DIR == 0 && crossf)
- fprintf(crossf, "VP(%g,%g,%g) {%g,%g,%g};\n", v_center->x(),
- v_center->y(), v_center->z(), t2.x(), t2.y(), t2.z());
- if(DIR == 0 && crossf)
- fprintf(crossf, "VP(%g,%g,%g) {%g,%g,%g};\n", v_center->x(),
- v_center->y(), v_center->z(), -t1.x(), -t1.y(), -t1.z());
- if(DIR == 0 && crossf)
- fprintf(crossf, "VP(%g,%g,%g) {%g,%g,%g};\n", v_center->x(),
- v_center->y(), v_center->z(), -t2.x(), -t2.y(), -t2.z());
-
- double size_1 = sqrt(1. / dot(t1, metricField, t1));
- double size_2 = sqrt(1. / dot(t2, metricField, t2));
-
- // compute covariant coordinates of t1 and t2
- // t1 = a s1 + b s2 -->
- // t1 . s1 = a M + b E
- // t1 . s2 = a E + b N --> solve the 2 x 2 system
- // and get covariant coordinates a and b
- double rhs1[2] = {dot(t1, s1), dot(t1, s2)}, covar1[2];
- bool singular = false;
- if(!sys2x2(metric, rhs1, covar1)) {
- Msg::Info("Argh surface %d %g %g %g -- %g %g %g -- %g %g", gf->tag(),
- s1.x(), s1.y(), s1.z(), s2.x(), s2.y(), s2.z(), size_1, size_2);
- covar1[1] = 1.0;
- covar1[0] = 0.0;
- singular = true;
- }
- double rhs2[2] = {dot(t2, s1), dot(t2, s2)}, covar2[2];
- if(!sys2x2(metric, rhs2, covar2)) {
- Msg::Info("Argh surface %d %g %g %g -- %g %g %g", gf->tag(), s1.x(),
- s1.y(), s1.z(), s2.x(), s2.y(), s2.z());
- covar2[0] = 1.0;
- covar2[1] = 0.0;
- singular = true;
- }
-
- // transform the sizes with respect to the metric
- // consider a vector v of size 1 in the parameter plane
- // its length is sqrt (v^T M v) --> if I want a real size
- // of size1 in direction v, it should be sqrt(v^T M v) * size1
- double l1 = sqrt(covar1[0] * covar1[0] + covar1[1] * covar1[1]);
- double l2 = sqrt(covar2[0] * covar2[0] + covar2[1] * covar2[1]);
-
- covar1[0] /= l1;
- covar1[1] /= l1;
- covar2[0] /= l2;
- covar2[1] /= l2;
-
- double size_param_1 =
- size_1 / sqrt(M * covar1[0] * covar1[0] + 2 * E * covar1[1] * covar1[0] +
- N * covar1[1] * covar1[1]);
- double size_param_2 =
- size_2 / sqrt(M * covar2[0] * covar2[0] + 2 * E * covar2[1] * covar2[0] +
- N * covar2[1] * covar2[1]);
- if(singular) {
- size_param_1 = size_param_2 = std::min(size_param_1, size_param_2);
- }
-
- const double EPS = 1.e-7;
- double r1 = EPS * (double)rand() / RAND_MAX;
- double r2 = EPS * (double)rand() / RAND_MAX;
- double r3 = EPS * (double)rand() / RAND_MAX;
- double r4 = EPS * (double)rand() / RAND_MAX;
- double r5 = EPS * (double)rand() / RAND_MAX;
- double r6 = EPS * (double)rand() / RAND_MAX;
- double r7 = EPS * (double)rand() / RAND_MAX;
- double r8 = EPS * (double)rand() / RAND_MAX;
- double newPoint[4][2] = {{midpoint[0] - covar1[0] * size_param_1 + r1,
- midpoint[1] - covar1[1] * size_param_1 + r2},
- {midpoint[0] - covar2[0] * size_param_2 + r3,
- midpoint[1] - covar2[1] * size_param_2 + r4},
- {midpoint[0] + covar1[0] * size_param_1 + r5,
- midpoint[1] + covar1[1] * size_param_1 + r6},
- {midpoint[0] + covar2[0] * size_param_2 + r7,
- midpoint[1] + covar2[1] * size_param_2 + r8}};
- // We could stop here. Yet, if the metric varies a lot, we can solve
- // a nonlinear problem in order to find a better approximation in the real
- // surface
- double ERR[4];
- for(int i = 0; i < 4; i++) {
- GPoint pp = gf->point(SPoint2(newPoint[i][0], newPoint[i][1]));
- double D = sqrt((pp.x() - v_center->x()) * (pp.x() - v_center->x()) +
- (pp.y() - v_center->y()) * (pp.y() - v_center->y()) +
- (pp.z() - v_center->z()) * (pp.z() - v_center->z()));
- ERR[i] = 100 * fabs(D - L) / (D + L);
- }
-
- if(1 && goNonLinear) {
- surfaceFunctorGFace ss(gf); //
- SVector3 dirs[4] = {t1 * (-1.0), t2 * (-1.0), t1 * (1.0), t2 * (1.0)}; //
- for(int i = 0; i < 4; i++) { //
- if(ERR[i] > 12) {
- double uvt[3] = {newPoint[i][0], newPoint[i][1], 0.0}; //
- curveFunctorCircle cf(
- dirs[i], n, SVector3(v_center->x(), v_center->y(), v_center->z()),
- L);
- if(intersectCurveSurface(cf, ss, uvt, size_param_1 * 1.e-3)) { //
- GPoint pp = gf->point(SPoint2(uvt[0], uvt[1]));
- double D =
- sqrt((pp.x() - v_center->x()) * (pp.x() - v_center->x()) +
- (pp.y() - v_center->y()) * (pp.y() - v_center->y()) +
- (pp.z() - v_center->z()) * (pp.z() - v_center->z()));
- double DP =
- sqrt((newPoint[i][0] - uvt[0]) * (newPoint[i][0] - uvt[0]) +
- (newPoint[i][1] - uvt[1]) * (newPoint[i][1] - uvt[1]));
- double newErr = 100 * fabs(D - L) / (D + L);
- if(newErr < 1 && DP < .1) {
- newPoint[i][0] = uvt[0];
- newPoint[i][1] = uvt[1];
- }
- }
- else {
- Msg::Debug("Cannot put a new point on Surface %d", gf->tag());
- }
- }
- }
- }
-
- // return the four new vertices
- for(int i = 0; i < 4; i++) {
- newP[i][DIR] = SPoint2(newPoint[i][0], newPoint[i][1]);
- }
- }
- return true;
-}
-
-// recover element around vertex v and interpolate smoothness on this element...
-double get_smoothness(MVertex *v, GFace *gf,
- const std::map<MVertex *, double> &vertices2smoothness)
-{
- // recover element around MVertex v
- SPoint3 sp3(v->x(), v->y(), v->z());
- SPoint2 param_point;
- reparamMeshVertexOnFace(v, gf, param_point);
- MElement *elem = backgroundMesh::current()->getMeshElementByCoord(
- param_point[0], param_point[1], 0.);
- if(!elem) {
- elem = backgroundMesh::current()->getMeshElementByCoord(
- param_point[0], param_point[1], 0., false);
- if(!elem)
- Msg::Warning("No element found for coordinate (%g, %g, %g)", sp3.x(),
- sp3.y(), sp3.z());
- }
-
- // recover element's vertices:
- std::vector<MVertex *> localvertices;
- localvertices.reserve(elem->getNumVertices());
-
- for(std::size_t ivert = 0; ivert < elem->getNumVertices(); ivert++) {
- MVertex *temp = elem->getVertex(ivert);
- localvertices.push_back(temp);
- }
-
- // recover parametrisation uvw
- double uvw[3], xyz[3];
- xyz[0] = param_point[0];
- xyz[1] = param_point[1];
- xyz[2] = 0.;
- elem->xyz2uvw(xyz, uvw);
-
- // interpolate :
- double val[3];
- int i = 0;
- for(auto it = localvertices.begin(); it != localvertices.end(); it++) {
- MVertex *localv = *it;
- auto itfind = vertices2smoothness.find(localv);
- if(itfind == vertices2smoothness.end()) {
- Msg::Warning("Background vertex not found");
- return 0;
- }
- val[i++] = itfind->second;
- }
- double res = elem->interpolate(val, uvw[0], uvw[1], uvw[2]);
- return res;
-}
-
-void print_nodal_info_int(const std::string &filename,
- std::map<MVertex *, int> &mapp)
-{
- std::ofstream out(filename.c_str());
-
- out << "View \"\"{" << std::endl;
- for(auto it = mapp.begin(); it != mapp.end(); it++) {
- MVertex *v = it->first;
- out << "SP( " << v->x() << "," << v->y() << "," << v->z() << "){"
- << it->second << "};" << std::endl;
- ;
- }
- out << "};" << std::endl;
-
- out.close();
-}
-
-void print_nodal_info_double(const std::string &filename,
- std::map<MVertex *, double> &mapp)
-{
- std::ofstream out(filename.c_str());
-
- out << "View \"\"{" << std::endl;
- for(auto it = mapp.begin(); it != mapp.end(); it++) {
- MVertex *v = it->first;
- out << "SP( " << v->x() << "," << v->y() << "," << v->z() << "){"
- << it->second << "};" << std::endl;
- ;
- }
- out << "};" << std::endl;
-
- out.close();
-}
-
-void export_point(surfacePointWithExclusionRegion *sp, int DIR, FILE *crossf,
- GFace *gf)
-{
- // get the unit normal at that point
- Pair<SVector3, SVector3> der = gf->firstDer(sp->_center);
- SVector3 s1 = der.first();
- SVector3 s2 = der.second();
- SVector3 n = crossprod(s1, s2);
- n.normalize();
- SVector3 basis_u = s1;
- basis_u.normalize();
- SVector3 basis_v = crossprod(n, basis_u);
-
- double quadAngle =
- backgroundMesh::current()->getAngle(sp->_center[0], sp->_center[1], 0) +
- DIRS[DIR];
-
- // normalize vector t1 that is tangent to gf at midpoint
- SVector3 t1 = basis_u * cos(quadAngle) + basis_v * sin(quadAngle);
+ t1 -= n*dot(t1,n);
t1.normalize();
-
- // compute the second direction t2 and normalize (t1,t2,n) is the tangent
- // frame
- SVector3 t2 = crossprod(n, t1);
- t2.normalize();
-
- // double scale = DIR+1.;
- SMetric3 metricField;
- double L =
- backgroundMesh::current()->operator()(sp->_center[0], sp->_center[1], 0.0);
- metricField = SMetric3(1. / (L * L));
- FieldManager *fields = gf->model()->getFields();
- if(fields->getBackgroundField() > 0) {
- Field *f = fields->get(fields->getBackgroundField());
- if(!f->isotropic()) {
- (*f)(sp->_v->x(), sp->_v->y(), sp->_v->z(), metricField, gf);
- }
- else {
- L = (*f)(sp->_v->x(), sp->_v->y(), sp->_v->z(), gf);
- metricField = SMetric3(1. / (L * L));
- }
- }
- double size_1 = sqrt(1. / dot(t1, metricField, t1));
- double size_2 = sqrt(1. / dot(t2, metricField, t2));
-
- if(crossf) {
- fprintf(crossf, "VP(%g,%g,%g) {%g,%g,%g};\n", sp->_v->x(), sp->_v->y(),
- sp->_v->z(), t1.x() * size_1, t1.y() * size_1, t1.z() * size_1);
- fprintf(crossf, "VP(%g,%g,%g) {%g,%g,%g};\n", sp->_v->x(), sp->_v->y(),
- sp->_v->z(), t2.x() * size_2, t2.y() * size_2, t2.z() * size_2);
- fprintf(crossf, "VP(%g,%g,%g) {%g,%g,%g};\n", sp->_v->x(), sp->_v->y(),
- sp->_v->z(), -t1.x() * size_1, -t1.y() * size_1, -t1.z() * size_1);
- fprintf(crossf, "VP(%g,%g,%g) {%g,%g,%g};\n", sp->_v->x(), sp->_v->y(),
- sp->_v->z(), -t2.x() * size_2, -t2.y() * size_2, -t2.z() * size_2);
- }
-}
-
-bool get_local_sizes_and_directions(const MVertex *v_center,
- const SPoint2 &midpoint, const int DIR,
- GFace *gf, double (&covar1)[2],
- double (&covar2)[2], double &size_param_1,
- double &size_param_2, double &L,
- SVector3 &t1, SVector3 &t2, SVector3 &n,
- FILE *crossf = nullptr)
-{
- // bool get_RK_stuff(const MVertex *v_center, const SPoint2 &midpoint, const
- // int DIR, GFace* gf, double (&covar1)[2], double (&covar2)[2], double
- // &size_param_1, double &size_param_2, double &L, SVector3 &t1, SVector3 &t2,
- // SVector3 &n, FILE *crossf, const SVector3 &previous_t1, const SVector3
- // &previous_t2, bool use_previous_basis=false, bool export_cross=true){
-
- // !!!!!!!!!!!! check if point is in domain (for RK !!!)
- if(!backgroundMesh::current()->inDomain(midpoint.x(), midpoint.y(), 0))
- return false;
-
- SMetric3 metricField;
- L = backgroundMesh::current()->operator()(midpoint[0], midpoint[1], 0.0);
- metricField = SMetric3(1. / (L * L));
- FieldManager *fields = gf->model()->getFields();
- if(fields->getBackgroundField() > 0) {
- Field *f = fields->get(fields->getBackgroundField());
- if(!f->isotropic()) {
- (*f)(v_center->x(), v_center->y(), v_center->z(), metricField, gf);
- }
- else {
- L = (*f)(v_center->x(), v_center->y(), v_center->z(), gf);
- metricField = SMetric3(1. / (L * L));
- }
- }
-
- // get the unit normal at that point
- Pair<SVector3, SVector3> der =
- gf->firstDer(SPoint2(midpoint[0], midpoint[1]));
- SVector3 s1 = der.first();
- SVector3 s2 = der.second();
- n = crossprod(s1, s2);
- n.normalize();
-
+
double M = dot(s1, s1);
double N = dot(s2, s2);
double E = dot(s1, s2);
-
+
// compute the first fundamental form i.e. the metric tensor at the point
// M_{ij} = s_i \cdot s_j
double metric[2][2] = {{M, E}, {E, N}};
-
- SVector3 basis_u = s1;
- basis_u.normalize();
- SVector3 basis_v = crossprod(n, basis_u);
-
- double quadAngle =
- backgroundMesh::current()->getAngle(midpoint[0], midpoint[1], 0) +
- DIRS[DIR];
- // double quadAngle = atan2(midpoint[0],midpoint[1]);
-
- // normalize vector t1 that is tangent to gf at midpoint
- t1 = basis_u * cos(quadAngle) + basis_v * sin(quadAngle);
- t1.normalize();
-
+
// compute the second direction t2 and normalize (t1,t2,n) is the tangent
// frame
- t2 = crossprod(n, t1);
+ SVector3 t2 = crossprod(n, t1);
t2.normalize();
-
- double size_1 = sqrt(1. / dot(t1, metricField, t1));
- double size_2 = sqrt(1. / dot(t2, metricField, t2));
-
- if(crossf) {
- if(DIR == 0 && crossf)
- fprintf(crossf, "VP(%g,%g,%g) {%g,%g,%g};\n", v_center->x(),
- v_center->y(), v_center->z(), t1.x() * size_1, t1.y() * size_1,
- t1.z() * size_1);
- if(DIR == 0 && crossf)
- fprintf(crossf, "VP(%g,%g,%g) {%g,%g,%g};\n", v_center->x(),
- v_center->y(), v_center->z(), t2.x() * size_2, t2.y() * size_2,
- t2.z() * size_2);
- if(DIR == 0 && crossf)
- fprintf(crossf, "VP(%g,%g,%g) {%g,%g,%g};\n", v_center->x(),
- v_center->y(), v_center->z(), -t1.x() * size_1, -t1.y() * size_1,
- -t1.z() * size_1);
- if(DIR == 0 && crossf)
- fprintf(crossf, "VP(%g,%g,%g) {%g,%g,%g};\n", v_center->x(),
- v_center->y(), v_center->z(), -t2.x() * size_2, -t2.y() * size_2,
- -t2.z() * size_2);
- }
-
+
// compute covariant coordinates of t1 and t2
// t1 = a s1 + b s2 -->
// t1 . s1 = a M + b E
// t1 . s2 = a E + b N --> solve the 2 x 2 system
// and get covariant coordinates a and b
- double rhs1[2] = {dot(t1, s1), dot(t1, s2)};
+ double rhs1[2] = {dot(t1, s1)*L, dot(t1, s2)*L}, covar1[2];
bool singular = false;
if(!sys2x2(metric, rhs1, covar1)) {
- Msg::Info("Argh surface %d %g %g %g -- %g %g %g -- %g %g", gf->tag(),
- s1.x(), s1.y(), s1.z(), s2.x(), s2.y(), s2.z(), size_1, size_2);
+ Msg::Debug("surface filler: SINGULAR AT %g %g",midpoint.x(),midpoint.y());
+ return false;
covar1[1] = 1.0;
covar1[0] = 0.0;
singular = true;
}
- double rhs2[2] = {dot(t2, s1), dot(t2, s2)};
+ double rhs2[2] = {dot(t2, s1)*L, dot(t2, s2)*L}, covar2[2];
if(!sys2x2(metric, rhs2, covar2)) {
- Msg::Info("Argh surface %d %g %g %g -- %g %g %g", gf->tag(), s1.x(), s1.y(),
- s1.z(), s2.x(), s2.y(), s2.z());
+ Msg::Debug("surface filler: SINGULAR AT %g %g",midpoint.x(),midpoint.y());
+ return false;
covar2[0] = 1.0;
covar2[1] = 0.0;
singular = true;
}
-
- // transform the sizes with respect to the metric
- // consider a vector v of size 1 in the parameter plane
- // its length is sqrt (v^T M v) --> if I want a real size
- // of size1 in direction v, it should be sqrt(v^T M v) * size1
- double l1 = sqrt(covar1[0] * covar1[0] + covar1[1] * covar1[1]);
- double l2 = sqrt(covar2[0] * covar2[0] + covar2[1] * covar2[1]);
-
- covar1[0] /= l1;
- covar1[1] /= l1;
- covar2[0] /= l2;
- covar2[1] /= l2;
-
- size_param_1 =
- size_1 / sqrt(M * covar1[0] * covar1[0] + 2 * E * covar1[1] * covar1[0] +
- N * covar1[1] * covar1[1]);
- size_param_2 =
- size_2 / sqrt(M * covar2[0] * covar2[0] + 2 * E * covar2[1] * covar2[0] +
- N * covar2[1] * covar2[1]);
- if(singular) {
- size_param_1 = size_param_2 = std::min(size_param_1, size_param_2);
+
+ // compute the corners of the box as well
+ double LSQR = L ;
+ SVector3 b1 = t1+t2;
+ b1.normalize();
+ SVector3 b2 = t1-t2;
+ b2.normalize();
+
+ double rhs3[2] = {dot(b1, s1)*LSQR, dot(b1, s2)*LSQR}, covar3[2];
+ if(!sys2x2(metric, rhs3, covar3)) {
+ covar3[1] = 1.e22;
+ covar3[0] = 0.0;
+ singular = true;
}
-
- return true;
-}
-
-// using fifo based on smoothness criteria
-void packingOfParallelogramsSmoothness(GFace *gf,
- std::vector<MVertex *> &packed,
- std::vector<SMetric3> &metrics)
-{
- Msg::Info("Packing of parallelograms: new algorithm based on smoothness");
- const bool goNonLinear = true;
-
- const bool debug = (Msg::GetVerbosity() == 99);
-
- // build vertex -> neighbors table
- std::multimap<MVertex *, MVertex *> vertex2vertex;
- for(auto it = backgroundMesh::current()->begin_triangles();
- it != backgroundMesh::current()->end_triangles(); it++) {
- MElement *e = *it;
- for(std::size_t i = 0; i < e->getNumVertices(); i++) {
- MVertex *current = e->getVertex(i);
- for(std::size_t j = 0; j < e->getNumVertices(); j++) {
- if(i == j) continue;
- MVertex *neighbor = e->getVertex(j);
- vertex2vertex.insert(std::make_pair(current, neighbor));
- }
- }
+ double rhs4[2] = {dot(b2, s1)*LSQR, dot(b2, s2)*LSQR}, covar4[2];
+ if(!sys2x2(metric, rhs4, covar4)) {
+ covar4[0] = 1.e22;
+ covar4[1] = 0.0;
+ singular = true;
}
-
- // build table vertex->smoothness
- std::map<MVertex *, double> vertices2smoothness;
- std::map<MVertex *, double> smoothness_essai;
- for(auto it = backgroundMesh::current()->begin_vertices();
- it != backgroundMesh::current()->end_vertices(); it++) {
- MVertex *v = *it;
-
- SPoint2 param_point(v->x(), v->y());
- GPoint gpt = gf->point(param_point);
- MVertex v_real(gpt.x(), gpt.y(), gpt.z());
- SVector3 t1, t2, n;
- double covar1[2], covar2[2], L, size_param_1, size_param_2;
- get_local_sizes_and_directions(&v_real, param_point, 0, gf, covar1, covar2,
- size_param_1, size_param_2, L, t1, t2, n);
-
- // compare to all neighbors...
- std::pair<std::multimap<MVertex *, MVertex *>::iterator,
- std::multimap<MVertex *, MVertex *>::iterator>
- range = vertex2vertex.equal_range(v);
- SVector3 t1_nb, t2_nb, n_nb;
- double covar1_nb[2], covar2_nb[2], L_nb, size_param_1_nb, size_param_2_nb;
- double maxprod, angle = 0.;
- int N = 0;
- for(auto itneighbor = range.first; itneighbor != range.second;
- itneighbor++) {
- N++;
- maxprod = 0.;
- MVertex *v_nb = itneighbor->second;
- SPoint2 param_point_nb(v_nb->x(), v_nb->y());
- GPoint gpt_nb = gf->point(param_point_nb);
- MVertex v_real_nb(gpt_nb.x(), gpt_nb.y(), gpt_nb.z());
- get_local_sizes_and_directions(&v_real_nb, param_point_nb, 0, gf,
- covar1_nb, covar2_nb, size_param_1_nb,
- size_param_2_nb, L_nb, t1_nb, t2_nb, n_nb);
- // angle comparison...
- maxprod = std::max(maxprod, fabs(t1[0] * t1_nb[0] + t1[1] * t1_nb[1]));
- maxprod = std::max(maxprod, fabs(t1[0] * t2_nb[0] + t1[1] * t2_nb[1]));
- angle += fabs(acos(std::max(std::min(maxprod, 1.), -1.)));
- }
- angle /= N;
- vertices2smoothness[v] = angle;
+
+
+ double size_1 = sqrt (covar1[0]*covar1[0]+covar1[1]*covar1[1]);
+ double size_2 = sqrt (covar2[0]*covar2[0]+covar2[1]*covar2[1]);
+
+ // if (singular){
+ // }
+
+
+ double newPoint[8][2] = {{midpoint[0] - covar1[0],
+ midpoint[1] - covar1[1]},
+ {midpoint[0] - covar2[0],
+ midpoint[1] - covar2[1]},
+ {midpoint[0] + covar1[0],
+ midpoint[1] + covar1[1]},
+ {midpoint[0] + covar2[0],
+ midpoint[1] + covar2[1]},
+ {midpoint[0] - covar3[0],
+ midpoint[1] - covar3[1]},
+ {midpoint[0] - covar4[0],
+ midpoint[1] - covar4[1]},
+ {midpoint[0] + covar3[0],
+ midpoint[1] + covar3[1]},
+ {midpoint[0] + covar4[0],
+ midpoint[1] + covar4[1]}};
+
+ SVector3 dirs[8] = {t1 * (-1.0), t2 * (-1.0), t1 * (1.0), t2 * (1.0),
+ b1 * (-1.0), b2 * (-1.0), b1 * (1.0), b2 * (1.0) };
+ SVector3 orthodirs[8] = {t2 * (-1.0), t1 * (-1.0), t2 * (1.0), t1 * (1.0),
+ b2 * (-1.0), b1 * (-1.0), b2 * (1.0), b1 * (1.0) };
+ double LS[8] = {L,L,L,L,LSQR,LSQR,LSQR,LSQR};
+
+ SPoint3 ppx (v_center->x(),v_center->y(),v_center->z());
+ surfaceFunctorGFace ss(gf);
+ for(int i = 0; i < 8; i++) {
+ newP[i] = SPoint2(newPoint[i][0], newPoint[i][1]);
+ GPoint pp = gf->point(newP[i]);
+ SPoint3 px (pp.x(),pp.y(),pp.z());
+ SVector3 test = px - ppx;
+ double L2 = test.norm();
+ double DIFF_ANG = fabs(dot(orthodirs[i],test)) / L2;
+ double DIFF_L = fabs(L2-LS[i]);
+ if (singular || DIFF_L > .1*LS[i] || DIFF_ANG > .1){
+ curveFunctorCircle cf(dirs[i], n, SVector3(v_center->x(), v_center->y(), v_center->z()), LS[i]);
+ double uvt[3] = {newPoint[i][0], newPoint[i][1], 0.0}; //
+ if(intersectCurveSurface(cf, ss, uvt, size_1 * 1.e-6)) {
+ pp = gf->point(SPoint2(uvt[0], uvt[1]));
+ px = SPoint3 (pp.x(),pp.y(),pp.z());
+ test = px - ppx;
+ L2 = test.norm();
+ double DIFF_ANG2 = fabs(dot(orthodirs[i],test)) / L2;
+ double DIFF_L2 = fabs(L2-LS[i]);
+ newPoint[i][0]=uvt[0];
+ newPoint[i][1]=uvt[1];
+ if (DIFF_L2 <= DIFF_L && DIFF_ANG2 <= DIFF_ANG){
+ }
+ else{
+ Msg::Debug("Difficult to find a point %lu L %g vs %g (ps %12.5E) ",i,L,L2,DIFF_ANG2);
}
-
- // --------------- export de smoothness comme elements....
- // -----------------------
- if(debug) {
- std::stringstream ss;
- ss << "backgroundmesh_element_smoothness_" << gf->tag() << ".pos";
- std::ofstream out(ss.str().c_str());
- out << "View \"directions\" {" << std::endl;
- for(auto it = backgroundMesh::current()->begin_triangles();
- it != backgroundMesh::current()->end_triangles(); it++) {
- MElement *e = *it;
- std::vector<MVertex *> nodes;
- std::vector<double> smoothtemp;
- for(int i = 0; i < 3; i++) {
- MVertex *v = e->getVertex(i);
- nodes.push_back(v);
- smoothtemp.push_back(vertices2smoothness[v]);
- }
- out << "ST(";
- for(int i = 0; i < 3; i++) {
- GPoint pp = gf->point(SPoint2(nodes[i]->x(), nodes[i]->y()));
- out << pp.x() << "," << pp.y() << "," << pp.z();
- if(i != 2) out << ",";
}
- out << "){";
- for(int i = 0; i < 3; i++) {
- out << (1. - (smoothtemp[i] / M_PI * 4.));
- if(i != 2) out << ",";
+ else{
+ SPoint3 p_test (v_center->x() + dirs[i].x() * LS[i],
+ v_center->y() + dirs[i].y() * LS[i],
+ v_center->z() + dirs[i].z() * LS[i]);
+ pp = gf->closestPoint(p_test ,uvt);
+ if (pp.succeeded()){
+ newPoint[i][0] = pp.u();
+ newPoint[i][1] = pp.v();
+ }
+ else
+ Msg::Debug("Impossible to intersect with a circle of radius %g",L);
}
- out << "};" << std::endl;
- }
- out << "};" << std::endl;
- out.close();
+ }
}
- // --------------- END ----------------
+
+ return true;
+}
- // for debug check...
- int priority_counter = 0;
- std::map<MVertex *, int> vert_priority;
+// at crossfield singularities, directions are undefined
+// we draw a circle around
+// static void createSingularPatches (GFace *gf, std::map<MVertex *, int> &s, Field *f, std::vector<MVertex*> &toInsert){
+
+// FILE *_f = fopen("patches.pos","w");
+// fprintf(_f,"View \"\"{\n");
+// for (std::map<MVertex *, int>::iterator it = s.begin();it != s.end() ; ++it){
+// SPoint2 midpoint;
+// SPoint2 newP[8];
+// SMetric3 metricField;
+// compute4neighbors(gf, it->first, midpoint, newP, metricField, f, 0, 0, it->second == 5 ? .25 : 1);
+// //the 8 points (I know, it's strange ...)
+// // 2
+// // 7 6
+// // 1 3
+// // 4 5
+// // 0
+
+// // get the unit normal at that point
+// Pair<SVector3, SVector3> der =
+// gf->firstDer(SPoint2(midpoint[0], midpoint[1]));
+// SVector3 s1 = der.first();
+// SVector3 s2 = der.second();
+// SVector3 n = crossprod(s1, s2);
+// n.normalize();
+
+// int loop [8] = {0,4,1,7,2,6,3,5};
+// SVector3 t0[8],t1[8];
+// GPoint p0[8];
+// std::vector<double> dots;
+// std::vector<SPoint3> pts;
+// for (int i=0;i<8;i++){
+// p0[i] = gf->point(newP[loop[i]]);
+// (*f)(p0[i].x(), p0[i].y(),p0[i].z(),t0[i], gf);
+// t0[i] -= n*dot(t0[i],n);
+// t0[i].normalize();
+// t1[i] = crossprod(n, t0[i]);
+// t1[i].normalize();
+// }
+// int nSamples = 30;
+// SPoint3 p(it->first->x(),it->first->y(),it->first->z());
+// for (int i=0;i<8;i++){
+// SVector3 t0i = t0[i];
+// SVector3 t1i = t1[i];
+// SVector3 t0n = t0[(i+1)%8];
+// SVector3 t1n = t1[(i+1)%8];
+// if (fabs(dot(t0i,t0n)) < fabs(dot(t0i,t1n))){
+// SVector3 temp_ = t0n;
+// t0n = t1n;
+// t1n = temp_;
+// }
+// if (dot(t0i,t0n) < 0)t0n = t0n * (-1.0);
+// if (dot(t1i,t1n) < 0)t1n = t1n * (-1.0);
+
+// GPoint pi = p0[i];
+// GPoint pn = p0[(i+1)%8];
+// fprintf(_f,"SP(%g,%g,%g){%d};\n",
+// pi.x(),pi.y(),pi.z(),i);
+// for (int j=0;j<nSamples;j++){
+// double xi = (double)j/(nSamples);
+// SPoint3 pij (pi.x()*(1-xi)+pn.x()*xi,pi.y()*(1-xi)+pn.y()*xi,pi.z()*(1-xi)+pn.z()*xi);
+// SVector3 vij = p-pij;
+// pts.push_back (pij);
+// vij.normalize();
+// SVector3 v0 = t0i*(1-xi) + t0n*xi;
+// SVector3 v1 = t1i*(1-xi) + t1n*xi;
+// v0.normalize();
+// v1.normalize();
+// double dot0 = fabs(dot(v0,vij));
+// double dot1 = fabs(dot(v1,vij));
+// dots.push_back(std::max(dot0,dot1));
+// fprintf(_f,"VP(%g,%g,%g){%g,%g,%g};\n",
+// pij.x(),pij.y(),pij.z(),
+// dot0*v0.x(),dot0*v0.y(),dot0*v0.z());
+// fprintf(_f,"VP(%g,%g,%g){%g,%g,%g};\n",
+// pij.x(),pij.y(),pij.z(),
+// dot1*v1.x(),dot1*v1.y(),dot1*v1.z());
+// }
+// }
+
+// int nbMax = 0;
+// for (size_t i=0;i<pts.size();i++){
+// double V0 = dots[i];
+// double V1 = dots[(i+1)%pts.size()];
+// double V2 = dots[(i+2)%pts.size()];
+// if (V1 > V0 && V1 > V2){
+// double uvt[2] = {0,0};
+// GPoint pp = gf->closestPoint(pts[i] ,uvt);
+// MFaceVertex *vv = new MFaceVertex (pp.x(),pp.y(),pp.z(),gf,pp.u(),pp.v());
+// toInsert.push_back(vv);
+// nbMax++;
+// }
+// }
+// if (nbMax == it-> second)printf("singularity %lu has a good set of %d sampling points\n",it->first->getNum(),nbMax);
+// else {
+// toInsert.resize(toInsert.size() - nbMax);
+// printf("singularity %lu has a bad set of %d vs %d sampling points\n",it->first->getNum(),nbMax,it->second);
+// }
+// }
+
+// fprintf(_f,"};\n");
+// fclose(_f);
+
+// }
+
+
+
+static bool outBounds(SPoint2 p, double minu, double maxu, double minv, double maxv){
+ if (p.x() > maxu || p.x() < minu || p.y() > maxv || p.y() < minv){
+ // printf("OUT BOUND %g %g\n",p.x(),p.y());
+ return true;
+
+ }
+ return false;
+}
- // get all the boundary vertices
- std::set<MVertex *> bnd_vertices;
- for(unsigned int i = 0; i < gf->getNumMeshElements(); i++) {
- MElement *element = gf->getMeshElement(i);
- for(std::size_t j = 0; j < element->getNumVertices(); j++) {
- MVertex *vertex = element->getVertex(j);
- if(vertex->onWhat()->dim() < 2) bnd_vertices.insert(vertex);
- }
- }
+static bool close2sing(std::vector<MVertex*> &s, GFace *gf, SPoint2 p, Field *f){
+
+ if (s.empty())return false;
+ GPoint gp = gf->point(p);
+ SVector3 t1;
+ (*f)(gp.x(), gp.y(), gp.z(), t1, gf);
+ double L = t1.norm();
+
+ for (size_t i=0;i<s.size();i++){
+ MVertex *v = s[i];
+ double d = sqrt ((v->x()-gp.x())*(v->x()-gp.x())+
+ (v->y()-gp.y())*(v->y()-gp.y())+
+ (v->z()-gp.z())*(v->z()-gp.z()));
+ if (d < FACTOR*L)return true;
+ }
+ return false;
+}
- // --------- put boundary vertices in a fifo queue ---------------
- std::set<smoothness_point_pair,
- compareSurfacePointWithExclusionRegionPtr_Smoothness>
- fifo;
- std::vector<surfacePointWithExclusionRegion *> vertices;
- // put the RTREE
- RTree<surfacePointWithExclusionRegion *, double, 2, double> rtree;
- SMetric3 metricField(1.0);
- SPoint2 newp[4][NUMDIR];
- auto it = bnd_vertices.begin();
-
- char NAME[345];
- sprintf(NAME, "crossReal%d.pos", gf->tag());
- FILE *crossf = nullptr;
- if(debug) { crossf = Fopen(NAME, "w"); }
- if(crossf) fprintf(crossf, "View \"\"{\n");
- for(; it != bnd_vertices.end(); ++it) {
- SPoint2 midpoint;
- // compute4neighbors_RK2 (gf, *it, midpoint, goNonLinear, newp,
- // metricField,crossf);
- compute4neighbors(gf, *it, midpoint, goNonLinear, newp, metricField,
- crossf);
- surfacePointWithExclusionRegion *sp =
- new surfacePointWithExclusionRegion(*it, newp, midpoint, metricField);
- smoothness_point_pair mp;
- mp.ptr = sp;
- mp.rank = get_smoothness(*it, gf, vertices2smoothness);
- fifo.insert(mp);
-
- if(debug) { smoothness_essai[*it] = mp.rank; }
-
- vertices.push_back(sp);
- double _min[2], _max[2];
- sp->minmax(_min, _max);
- rtree.Insert(_min, _max, sp);
- if(crossf) export_point(sp, 0, crossf, gf);
- }
- // ---------- main loop -----------------
- while(!fifo.empty()) {
- surfacePointWithExclusionRegion *parent = (*fifo.begin()).ptr;
- fifo.erase(fifo.begin());
- int count_nbaddedpt = 0;
- for(int dir = 0; dir < NUMDIR; dir++) {
- for(int i = 0; i < 4; i++) {
- if(!inExclusionZone(parent->_p[i][dir], rtree, vertices)) {
- GPoint gp = gf->point(parent->_p[i][dir]);
- MFaceVertex *v =
- new MFaceVertex(gp.x(), gp.y(), gp.z(), gf, gp.u(), gp.v());
- SPoint2 midpoint;
- // compute4neighbors_RK2 (gf, v, midpoint, goNonLinear, newp,
- // metricField,crossf);
- compute4neighbors(gf, v, midpoint, goNonLinear, newp, metricField,
- crossf);
- surfacePointWithExclusionRegion *sp =
- new surfacePointWithExclusionRegion(v, newp, midpoint, metricField,
- parent);
- smoothness_point_pair mp;
- mp.ptr = sp;
- mp.rank = get_smoothness(v, gf, vertices2smoothness);
-
- if(debug) {
- smoothness_essai[v] = mp.rank;
- vert_priority[v] = priority_counter++;
- }
- fifo.insert(mp);
- vertices.push_back(sp);
- double _min[2], _max[2];
- sp->minmax(_min, _max);
- rtree.Insert(_min, _max, sp);
- if(crossf) export_point(sp, dir, crossf, gf);
-
- count_nbaddedpt++;
- }
+static void findPhysicalGroupsForSingularities(GFace *gf,
+ std::map<MVertex *, int> &temp)
+{
+
+ std::set<GVertex *, GEntityPtrLessThan> emb = gf->embeddedVertices();
+ if (emb.empty())return;
+
+ std::map<int, std::vector<GEntity *> > groups[4];
+ gf->model()->getPhysicalGroups(groups);
+ for(std::map<int, std::vector<GEntity *> >::iterator it = groups[0].begin();
+ it != groups[0].end(); ++it) {
+ std::string name = gf->model()->getPhysicalName(0, it->first);
+ if(name == "SINGULARITY_OF_INDEX_THREE") {
+ for(size_t j = 0; j < it->second.size(); j++) {
+ if (emb.find((GVertex*)it->second[j]) != emb.end()){
+ if(!it->second[j]->mesh_vertices.empty())
+ temp[it->second[j]->mesh_vertices[0]] = 3;
+ }
}
}
- }
- if(crossf) {
- fprintf(crossf, "};\n");
- fclose(crossf);
- }
-
- if(debug) {
- std::stringstream ss;
- ss << "priority_" << gf->tag() << ".pos";
- print_nodal_info_int(ss.str().c_str(), vert_priority);
- ss.clear();
- ss << "smoothness_test_" << gf->tag() << ".pos";
- print_nodal_info_double(ss.str().c_str(), smoothness_essai);
- }
-
- // add the vertices as additional vertices in the surface mesh
- char ccc[256];
- sprintf(ccc, "points%d.pos", gf->tag());
- FILE *f = nullptr;
- if(debug) { f = Fopen(ccc, "w"); }
- if(f) fprintf(f, "View \"\"{\n");
- for(unsigned int i = 0; i < vertices.size(); i++) {
- if(f) vertices[i]->print(f, i);
- if(vertices[i]->_v->onWhat() == gf) {
- packed.push_back(vertices[i]->_v);
- metrics.push_back(vertices[i]->_meshMetric);
- SPoint2 midpoint;
- reparamMeshVertexOnFace(vertices[i]->_v, gf, midpoint);
+ else if(name == "SINGULARITY_OF_INDEX_FIVE") {
+ for(size_t j = 0; j < it->second.size(); j++) {
+ if (emb.find((GVertex*)it->second[j]) != emb.end()){
+ if(!it->second[j]->mesh_vertices.empty())
+ temp[it->second[j]->mesh_vertices[0]] = 5;
+ }
+ }
+ }
+ else if(name == "SINGULARITY_OF_INDEX_SIX") {
+ for(size_t j = 0; j < it->second.size(); j++) {
+ if (emb.find((GVertex*)it->second[j]) != emb.end()){
+ if(!it->second[j]->mesh_vertices.empty())
+ temp[it->second[j]->mesh_vertices[0]] = 6;
+ }
+ }
}
- delete vertices[i];
- }
- if(f) {
- fprintf(f, "};");
- fclose(f);
}
}
-// fills a surface with points in order to build a nice quad mesh
void packingOfParallelograms(GFace *gf, std::vector<MVertex *> &packed,
std::vector<SMetric3> &metrics)
{
- // PE MODIF
- // packingOfParallelogramsSmoothness(gf,packed,metrics);
- // return;
- // END PE MODIF
-
- const bool debug = (Msg::GetVerbosity() == 99);
-
- const bool goNonLinear = true;
- if(debug) {
- std::stringstream ssa;
- ssa << "oldbgm_angles_" << gf->tag() << ".pos";
- backgroundMesh::current()->print(ssa.str(), gf, 1);
+ FILE *f = NULL;
+ FILE *f2 = NULL;
+ if(Msg::GetVerbosity() == 99) {
+ char ccc[256];
+ sprintf(ccc, "points%d.pos", gf->tag());
+ f = Fopen(ccc, "w");
+ sprintf(ccc, "e_points%d.pos", gf->tag());
+ f2 = Fopen(ccc, "w");
+ if(f) fprintf(f, "View \"\"{\n");
+ if(f2) fprintf(f2, "View \"\"{\n");
+ }
+
+ FieldManager *fields = gf->model()->getFields();
+ Field *cross_field = NULL;
+ SVector3 t1;
+ double L;
+ if(fields->getBackgroundField() > 0) {
+ cross_field = fields->get(fields->getBackgroundField());
+ if(cross_field->numComponents() != 3) {// we hae a true scaled cross fields !!
+ Msg::Error ("Packing of Parallelograms require a scaled cross field");
+ Msg::Error ("Do first gmsh yourmeshname.msh -crossfield to create yourmeshname_scaled_crossfield.pos");
+ Msg::Error ("Then do yourmeshname.geo -bgm yourmeshname_scaled_crossfield.pos");
+ return;
+ }
+ }
+ else {
+ Msg::Error ("Packing of Parallelograms require a scaled cross field");
+ Msg::Error ("Do first gmsh yourmeshname.msh -crossfield to create yourmeshname_scaled_crossfield.pos");
+ Msg::Error ("Then do yourmeshname.geo -bgm yourmeshname_scaled_crossfield.pos");
+ return;
}
+
+ const bool goNonLinear = true;
+
// get all the boundary vertices
- std::set<MVertex *> bnd_vertices;
+ std::set<MVertex *, MVertexPtrLessThan> bnd_vertices;
for(unsigned int i = 0; i < gf->getNumMeshElements(); i++) {
MElement *element = gf->getMeshElement(i);
for(std::size_t j = 0; j < element->getNumVertices(); j++) {
@@ -767,77 +430,115 @@ void packingOfParallelograms(GFace *gf, std::vector<MVertex *> &packed,
}
}
+ // Renormalize size map taking into account quantization...
+ double globalMult = 1.0;
+
// put boundary vertices in a fifo queue
- std::set<surfacePointWithExclusionRegion *,
- compareSurfacePointWithExclusionRegionPtr>
- fifo;
+ std::queue<surfacePointWithExclusionRegion *> fifo;
std::vector<surfacePointWithExclusionRegion *> vertices;
// put the RTREE
RTree<surfacePointWithExclusionRegion *, double, 2, double> rtree;
SMetric3 metricField(1.0);
- SPoint2 newp[4][NUMDIR];
- auto it = bnd_vertices.begin();
-
- char NAME[345];
- sprintf(NAME, "crossReal%d.pos", gf->tag());
- FILE *crossf = nullptr;
- if(debug) { crossf = Fopen(NAME, "w"); }
- if(crossf) fprintf(crossf, "View \"\"{\n");
+ SPoint2 newp[8];
+ std::set<MVertex *, MVertexPtrLessThan>::iterator it = bnd_vertices.begin();
+
+ double maxu = -1.e22,minu = 1.e22;
+ double maxv = -1.e22,minv = 1.e22;
+
+ std::vector<MVertex*> singularities;
for(; it != bnd_vertices.end(); ++it) {
+
+ int NP = 1;
SPoint2 midpoint;
- compute4neighbors(gf, *it, midpoint, goNonLinear, newp, metricField,
- crossf);
- surfacePointWithExclusionRegion *sp =
- new surfacePointWithExclusionRegion(*it, newp, midpoint, metricField);
- fifo.insert(sp);
- vertices.push_back(sp);
- double _min[2], _max[2];
- sp->minmax(_min, _max);
- rtree.Insert(_min, _max, sp);
+ double du[4] = {0,0,0,0}, dv[4]= {0,0,0,0};
+
+ for (int i=0;i<2;i++){
+ if (gf->periodic(i)){
+ reparamMeshVertexOnFace(*it, gf, midpoint);
+ Range<double> bnds = gf->parBounds(i);
+ // if (1 || midpoint[i] == bnds.low()){
+ if (i == 0)
+ du[NP] = bnds.high() - bnds.low();
+ else
+ dv[NP] = bnds.high() - bnds.low();
+ NP++;
+ // }
+ // else if (midpoint[i] == bnds.high()){
+ if (i == 0)
+ du[NP] = -(bnds.high() - bnds.low());
+ else
+ dv[NP] = -(bnds.high() - bnds.low());
+ NP++;
+ // }
+ }
+ }
+ for (int i=0;i<NP;i++){
+ bool singular = !compute4neighbors(gf, *it, midpoint, newp, metricField, cross_field, du[i],dv[i],globalMult );
+ if (!singular){
+ surfacePointWithExclusionRegion *sp =
+ new surfacePointWithExclusionRegion(*it, newp, midpoint, metricField);
+ minu = std::min(midpoint.x(),minu);
+ maxu = std::max(midpoint.x(),maxu);
+ minv = std::min(midpoint.y(),minv);
+ maxv = std::max(midpoint.y(),maxv);
+ vertices.push_back(sp);
+ fifo.push(sp);
+ double _min[2], _max[2];
+ sp->minmax(_min, _max);
+ rtree.Insert(_min, _max, sp);
+ }
+ else{
+ singularities.push_back(*it);
+ break;
+ }
+ }
}
- // printf("initially : %d vertices in the domain\n",vertices.size());
-
+ // printf("bounds = %g %g %g %g \n",minu,maxu,minv,maxv);
+
while(!fifo.empty()) {
- surfacePointWithExclusionRegion *parent = *fifo.begin();
- fifo.erase(fifo.begin());
- for(int dir = 0; dir < NUMDIR; dir++) {
- int countOK = 0;
- for(int i = 0; i < 4; i++) {
- if(!inExclusionZone(parent->_p[i][dir], rtree, vertices)) {
- countOK++;
- GPoint gp = gf->point(parent->_p[i][dir]);
- MFaceVertex *v =
- new MFaceVertex(gp.x(), gp.y(), gp.z(), gf, gp.u(), gp.v());
- SPoint2 midpoint;
- compute4neighbors(gf, v, midpoint, goNonLinear, newp, metricField,
- crossf);
- surfacePointWithExclusionRegion *sp =
- new surfacePointWithExclusionRegion(v, newp, midpoint, metricField,
- parent);
- fifo.insert(sp);
- vertices.push_back(sp);
- double _min[2], _max[2];
- sp->minmax(_min, _max);
- rtree.Insert(_min, _max, sp);
- }
+ // printf("%d vertices in the domain\n",vertices.size());
+ // if (vertices.size() > 5000)break;
+ surfacePointWithExclusionRegion *parent = fifo.front();
+ fifo.pop();
+ for(int i = 0; i < 4; i++) {
+ if(!close2sing (singularities,gf,parent->_p[i],cross_field)
+ && !inExclusionZone(parent->_v, parent->_p[i], rtree) &&
+ !outBounds(parent->_p[i],minu,maxu,minv,maxv)&&
+ gf->containsParam(parent->_p[i]))
+ {
+ GPoint gp = gf->point(parent->_p[i]);
+ MFaceVertex *v =
+ new MFaceVertex(gp.x(), gp.y(), gp.z(), gf, gp.u(), gp.v());
+ SPoint2 midpoint;
+ compute4neighbors(gf, v, midpoint, newp, metricField, cross_field,0, 0, globalMult);
+ surfacePointWithExclusionRegion *sp =
+ new surfacePointWithExclusionRegion(v, newp, midpoint, metricField, parent);
+ fifo.push(sp);
+ vertices.push_back(sp);
+ double _min[2], _max[2];
+ sp->minmax(_min, _max);
+ rtree.Insert(_min, _max, sp);
+ }
+ else{
+ if(Msg::GetVerbosity() == 99) {
+ GPoint gp = gf->point(parent->_p[i]);
+ MFaceVertex *v =
+ new MFaceVertex(gp.x(), gp.y(), gp.z(), gf, gp.u(), gp.v());
+ SPoint2 midpoint;
+ compute4neighbors(gf, v, midpoint, newp, metricField, cross_field, 0, 0 , globalMult);
+ surfacePointWithExclusionRegion *sp =
+ new surfacePointWithExclusionRegion(v, newp, midpoint, metricField,parent);
+ if (!gf->containsParam(parent->_p[i]))
+ sp->print(f2, i);
+ // printf("AI\n");
+ }
}
- if(countOK) break;
}
}
- if(crossf) {
- fprintf(crossf, "};\n");
- fclose(crossf);
- }
// add the vertices as additional vertices in the surface mesh
- char ccc[256];
- sprintf(ccc, "points%d.pos", gf->tag());
- FILE *f = nullptr;
- if(debug) { f = Fopen(ccc, "w"); }
- if(f) fprintf(f, "View \"\"{\n");
for(unsigned int i = 0; i < vertices.size(); i++) {
- // if(vertices[i]->_v->onWhat() != gf)
- if(f) vertices[i]->print(f, i);
+ if (f)vertices[i]->print(f, i);
if(vertices[i]->_v->onWhat() == gf) {
packed.push_back(vertices[i]->_v);
metrics.push_back(vertices[i]->_meshMetric);
@@ -846,166 +547,85 @@ void packingOfParallelograms(GFace *gf, std::vector<MVertex *> &packed,
}
delete vertices[i];
}
- if(f) {
+ if (f){
+ fprintf(f2, "};");
+ fclose(f2);
fprintf(f, "};");
fclose(f);
}
}
-// fills a surface with points in order to build a nice quad mesh
-void packingOfParallelogramsConstrained(
- GFace *gf, const std::set<MVertex *> &constr_vertices,
- std::vector<MVertex *> &packed, std::vector<SMetric3> &metrics)
-{
-// PE MODIF
-// packingOfParallelogramsSmoothness(gf,packed,metrics);
-// return;
-// END PE MODIF
-#if defined(HAVE_RTREE)
-
- std::cout << " inside packingOfParallelogramsConstrained" << std::endl;
- const bool goNonLinear = true;
-
- // FILE *f = Fopen ("parallelograms.pos","w");
-
- // get all the boundary vertices
- std::set<MVertex *> bnd_vertices;
- for(unsigned int i = 0; i < gf->getNumMeshElements(); i++) {
- MElement *element = gf->getMeshElement(i);
- for(int j = 0; j < element->getNumVertices(); j++) {
- MVertex *vertex = element->getVertex(j);
- if(vertex->onWhat()->dim() < 2) bnd_vertices.insert(vertex);
+/* OLD STUFF
+
+ double uvt[3] = {newPoint[0], newPoint[1], 0.0};
+ curveFunctorCircle cc(n2, n1, middle, d);
+ surfaceFunctorGFace ss(gf);
+
+ if(intersectCurveSurface(cc, ss, uvt, d * 1.e-8)) {
+ // if(gf->containsParam(SPoint2(uvt[0], uvt[1]))) {
+ newPoint[0] = uvt[0];
+ newPoint[1] = uvt[1];
+ return true;
+ // }
+ }
+
+
+ surfaceFunctorGFace ss(gf); //
+ SVector3 dirs[4] = {t1 * (-1.0), t2 * (-1.0), t1 * (1.0), t2 * (1.0)}; //
+ for(int i = 0; i < 4; i++) { //
+ double uvt[3] = {newPoint[i][0], newPoint[i][1], 0.0}; //
+
+ curveFunctorCircle cf(
+ dirs[i], n, SVector3(v_center->x(), v_center->y(), v_center->z()),
+ L);
+ if(intersectCurveSurface(cf, ss, uvt, size_1 * 1.e-2)) { //
+ GPoint pp = gf->point(SPoint2(uvt[0], uvt[1]));
+ double D =
+ sqrt((pp.x() - v_center->x()) * (pp.x() - v_center->x()) +
+ (pp.y() - v_center->y()) * (pp.y() - v_center->y()) +
+ (pp.z() - v_center->z()) * (pp.z() - v_center->z()));
+ double DP =
+ sqrt((newPoint[i][0] - uvt[0]) * (newPoint[i][0] - uvt[0]) +
+ (newPoint[i][1] - uvt[1]) * (newPoint[i][1] - uvt[1]));
+ double newErr = 100 * fabs(D - L) / (D + L);
+ if(newErr < 1 && DP < .1) {
+ newPoint[i][0] = uvt[0];
+ newPoint[i][1] = uvt[1];
+ }
+ else {
+ SPoint3 test (v_center->x() + dirs[i].x() * L,
+ v_center->y() + dirs[i].y() * L,
+ v_center->z() + dirs[i].z() * L);
+
+
+ GPoint pp = gf->closestPoint(test,uvt);
+ if (pp.succeeded()){
+ newPoint[i][0] = pp.u();
+ newPoint[i][1] = pp.v();
+ }
+ else return false;
+ }
}
- }
- std::cout << " got all the boundary vertices" << std::endl;
-
- // put boundary vertices in a fifo queue
- std::set<surfacePointWithExclusionRegion *,
- compareSurfacePointWithExclusionRegionPtr>
- fifo;
- std::vector<surfacePointWithExclusionRegion *> vertices;
- // put the RTREE
- RTree<surfacePointWithExclusionRegion *, double, 2, double> rtree;
- SMetric3 metricField(1.0);
- SPoint2 newp[4][NUMDIR];
- std::set<MVertex *>::iterator it = bnd_vertices.begin();
-
- char NAME[345];
- sprintf(NAME, "crossReal%d.pos", gf->tag());
- FILE *crossf = NULL;
- if(debug) { crossf = Fopen(NAME, "w"); }
- if(crossf) fprintf(crossf, "View \"\"{\n");
- std::cout << " entering first for" << std::endl;
- for(; it != bnd_vertices.end(); ++it) {
- SPoint2 midpoint;
- compute4neighbors(gf, *it, midpoint, goNonLinear, newp, metricField,
- crossf);
- surfacePointWithExclusionRegion *sp =
- new surfacePointWithExclusionRegion(*it, newp, midpoint, metricField);
- fifo.insert(sp);
- vertices.push_back(sp);
- double _min[2], _max[2];
- sp->minmax(_min, _max);
- rtree.Insert(_min, _max, sp);
- }
-
- std::set<MVertex *>::iterator it_constr = constr_vertices.begin();
- std::cout << " entering second for" << std::endl;
- for(; it_constr != constr_vertices.end(); ++it_constr) {
- SPoint2 midpoint;
- std::cout << "going to test out parameterisation of the new point"
- << std::endl;
- double para0, para1;
- (*it_constr)->getParameter(0, para0);
- (*it_constr)->getParameter(1, para1);
- std::cout << " point tested: para 1 " << para0 << " and para 2 "
- << para1 << std::endl;
- std::cout << " going to compute4neighbors" << std::endl;
- compute4neighbors(gf, *it_constr, midpoint, goNonLinear, newp, metricField,
- crossf);
- std::cout << " going to surfacePointWithExclusionRegion"
- << std::endl;
- surfacePointWithExclusionRegion *sp = new surfacePointWithExclusionRegion(
- *it_constr, newp, midpoint, metricField);
- std::cout << " done surfacePointWithExclusionRegion" << std::endl;
- fifo.insert(sp);
- vertices.push_back(sp);
- double _min[2], _max[2];
- sp->minmax(_min, _max);
- rtree.Insert(_min, _max, sp);
- }
-
- // printf("initially : %d vertices in the domain\n",vertices.size());
-
- std::cout << " entering while" << std::endl;
- while(!fifo.empty()) {
- surfacePointWithExclusionRegion *parent = *fifo.begin();
- fifo.erase(fifo.begin());
- for(int dir = 0; dir < NUMDIR; dir++) {
- int countOK = 0;
- for(int i = 0; i < 4; i++) {
- if(!inExclusionZone(parent->_p[i][dir], rtree, vertices)) {
- countOK++;
- GPoint gp = gf->point(parent->_p[i][dir]);
- MFaceVertex *v =
- new MFaceVertex(gp.x(), gp.y(), gp.z(), gf, gp.u(), gp.v());
- std::cout << "going to test out parameterisation of the new point"
- << std::endl;
- double para0, para1;
- v->getParameter(0, para0);
- v->getParameter(1, para1);
- std::cout << " point tested: para 1 " << para0
- << " and para 2 " << para1 << std::endl;
- SPoint2 midpoint;
- compute4neighbors(gf, v, midpoint, goNonLinear, newp, metricField,
- crossf);
- surfacePointWithExclusionRegion *sp =
- new surfacePointWithExclusionRegion(v, newp, midpoint, metricField,
- parent);
- fifo.insert(sp);
- vertices.push_back(sp);
- double _min[2], _max[2];
- sp->minmax(_min, _max);
- rtree.Insert(_min, _max, sp);
- }
+ else {
+ SPoint3 test (v_center->x() + dirs[i].x() * L,
+ v_center->y() + dirs[i].y() * L,
+ v_center->z() + dirs[i].z() * L);
+
+
+ GPoint pp = gf->closestPoint(test,uvt);
+ if (pp.succeeded()){
+ newPoint[i][0] = pp.u();
+ newPoint[i][1] = pp.v();
}
- if(countOK) break;
+ else return false;
}
}
- std::cout << " entering if" << std::endl;
- if(crossf) {
- fprintf(crossf, "};\n");
- fclose(crossf);
- }
- // add the vertices as additional vertices in the surface mesh
- char ccc[256];
- sprintf(ccc, "points%d.pos", gf->tag());
- FILE *f = NULL;
- if(debug) { f = Fopen(ccc, "w"); }
- if(f) fprintf(f, "View \"\"{\n");
- std::cout << " entering another for" << std::endl;
- for(unsigned int i = 0; i < vertices.size(); i++) {
- if(f) vertices[i]->print(f, i);
- if(vertices[i]->_v->onWhat() == gf) {
- packed.push_back(vertices[i]->_v);
- metrics.push_back(vertices[i]->_meshMetric);
- SPoint2 midpoint;
- reparamMeshVertexOnFace(vertices[i]->_v, gf, midpoint);
- std::cout << "going to test out parameterisation of the REPARAM point"
- << std::endl;
- double para0, para1;
- vertices[i]->_v->getParameter(0, para0);
- vertices[i]->_v->getParameter(1, para1);
- std::cout << " point tested: para 1 " << para0
- << " and para 2 " << para1 << std::endl;
- }
- delete vertices[i];
+
+ // return the four new vertices
+ for(int i = 0; i < 4; i++) {
+ newP[i] = SPoint2(newPoint[i][0], newPoint[i][1]);
}
- if(f) {
- fprintf(f, "};");
- fclose(f);
- }
- // delete rtree;
-#endif
-}
+ return true;
+
+ */
diff --git a/contrib/domhex/surfaceFiller.h b/contrib/domhex/surfaceFiller.h
index 48e4ec7946ae8d9fb4e668023f3d1adcfb0c1deb..32e209f7b6e3ddd65b58da9f851d1c2d7313d222 100644
--- a/contrib/domhex/surfaceFiller.h
+++ b/contrib/domhex/surfaceFiller.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -14,13 +14,7 @@
class GFace;
class MVertex;
-void packingOfParallelogramsSmoothness(GFace *gf,
- std::vector<MVertex *> &packed,
- std::vector<SMetric3> &metrics);
void packingOfParallelograms(GFace *gf, std::vector<MVertex *> &packed,
std::vector<SMetric3> &metrics);
-void packingOfParallelogramsConstrained(
- GFace *gf, const std::set<MVertex *> &constr_vertices,
- std::vector<MVertex *> &packed, std::vector<SMetric3> &metrics);
#endif
diff --git a/contrib/domhex/yamakawa.cpp b/contrib/domhex/yamakawa.cpp
index 6cfe3281f41a5d4097284230faa7750021af8c57..984700b7b14f85ec4dfda49b4b24ae6fb9f128ba 100644
--- a/contrib/domhex/yamakawa.cpp
+++ b/contrib/domhex/yamakawa.cpp
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -93,7 +93,8 @@ namespace {
bool inclusion(MVertex *v1, MVertex *v2, MVertex *v3,
const std::set<MElement *> &tets)
{
- for(auto it = tets.begin(); it != tets.end(); it++) {
+ for(std::set<MElement *>::const_iterator it = tets.begin();
+ it != tets.end(); it++) {
if(tet_contains_vertex(*it, v1) && tet_contains_vertex(*it, v2) &&
tet_contains_vertex(*it, v3)) {
return true;
@@ -392,7 +393,8 @@ namespace {
{
TetMeshConnectivity::TetSet tets_around_v =
tet_mesh.tets_around_vertex(vertex);
- for(auto tet = tets_around_v.begin(); tet != tets_around_v.end(); ++tet) {
+ for(TetMeshConnectivity::TetSet::const_iterator tet = tets_around_v.begin();
+ tet != tets_around_v.end(); ++tet) {
if(hex_contains_tet(hex, *tet)) { result.insert(*tet); }
}
}
@@ -411,7 +413,7 @@ namespace {
MVertex *v = tet->getVertex(i);
if(v != v1 && v != v2 && v != v3) { return v; }
}
- return nullptr;
+ return NULL;
}
// Among the input tetrahedra find the first tet that contains v1, v2, and v3
@@ -422,21 +424,22 @@ namespace {
MVertex *find(MVertex *v1, MVertex *v2, MVertex *v3, MVertex *v4,
const std::set<MElement *> &tets)
{
- for(auto it = tets.begin(); it != tets.end(); it++) {
+ for(std::set<MElement *>::const_iterator it = tets.begin();
+ it != tets.end(); it++) {
MElement *tet = *it;
if(tet_contains_vertex(tet, v1) && tet_contains_vertex(tet, v2) &&
tet_contains_vertex(tet, v3) && !tet_contains_vertex(tet, v4)) {
return last_tet_vertex(tet, v1, v2, v3);
}
}
- return nullptr;
+ return NULL;
}
template <class T>
bool find_value_in_multiset(const std::multiset<T> &set, const T &value,
T &value_in_set)
{
- auto it = set.find(value);
+ typename std::multiset<T>::const_iterator it = set.find(value);
for(; it != set.end() && it->get_hash() == value.get_hash(); ++it) {
if(value.same_vertices(*it)) {
value_in_set = *it;
@@ -450,7 +453,7 @@ namespace {
template <class T>
bool find_value_in_multiset(const std::multiset<T> &set, const T &value)
{
- auto it = set.find(value);
+ typename std::multiset<T>::const_iterator it = set.find(value);
for(; it != set.end() && it->get_hash() == value.get_hash(); ++it) {
if(value.same_vertices(*it)) { return true; }
}
@@ -491,25 +494,29 @@ void export_gregion_mesh(GRegion *gr, const string &filename)
map<MVertex *, int> vertices;
int counterv = 1;
- for(auto it = gr->tetrahedra.begin(); it != gr->tetrahedra.end(); it++) {
+ for(vector<MTetrahedron *>::iterator it = gr->tetrahedra.begin();
+ it != gr->tetrahedra.end(); it++) {
for(std::size_t i = 0; i < (*it)->getNumVertices(); i++) {
vertices.insert(make_pair((*it)->getVertex(i), counterv));
counterv++;
}
}
- for(auto it = gr->hexahedra.begin(); it != gr->hexahedra.end(); it++) {
+ for(vector<MHexahedron *>::iterator it = gr->hexahedra.begin();
+ it != gr->hexahedra.end(); it++) {
for(std::size_t i = 0; i < (*it)->getNumVertices(); i++) {
vertices.insert(make_pair((*it)->getVertex(i), counterv));
counterv++;
}
}
- for(auto it = gr->prisms.begin(); it != gr->prisms.end(); it++) {
+ for(vector<MPrism *>::iterator it = gr->prisms.begin();
+ it != gr->prisms.end(); it++) {
for(std::size_t i = 0; i < (*it)->getNumVertices(); i++) {
vertices.insert(make_pair((*it)->getVertex(i), counterv));
counterv++;
}
}
- for(auto it = gr->pyramids.begin(); it != gr->pyramids.end(); it++) {
+ for(vector<MPyramid *>::iterator it = gr->pyramids.begin();
+ it != gr->pyramids.end(); it++) {
for(std::size_t i = 0; i < (*it)->getNumVertices(); i++) {
vertices.insert(make_pair((*it)->getVertex(i), counterv));
counterv++;
@@ -524,7 +531,8 @@ void export_gregion_mesh(GRegion *gr, const string &filename)
<< "$Nodes" << endl
<< vertices.size() << endl;
// write vertices
- for(auto it = vertices.begin(); it != vertices.end(); it++)
+ for(map<MVertex *, int>::iterator it = vertices.begin(); it != vertices.end();
+ it++)
out << it->second << " " << it->first->x() << " " << it->first->y() << " "
<< it->first->z() << endl;
out << "$EndNodes" << endl
@@ -535,7 +543,8 @@ void export_gregion_mesh(GRegion *gr, const string &filename)
// write elems
int counter = 1;
- for(auto it = gr->tetrahedra.begin(); it != gr->tetrahedra.end(); it++) {
+ for(vector<MTetrahedron *>::iterator it = gr->tetrahedra.begin();
+ it != gr->tetrahedra.end(); it++) {
out << counter << " 4 2 0 26";
for(std::size_t i = 0; i < (*it)->getNumVertices(); i++) {
MVertex *v = (*it)->getVertex(i);
@@ -544,7 +553,8 @@ void export_gregion_mesh(GRegion *gr, const string &filename)
out << endl;
counter++;
}
- for(auto it = gr->hexahedra.begin(); it != gr->hexahedra.end(); it++) {
+ for(vector<MHexahedron *>::iterator it = gr->hexahedra.begin();
+ it != gr->hexahedra.end(); it++) {
out << counter << " 5 2 0 26";
for(std::size_t i = 0; i < (*it)->getNumVertices(); i++) {
MVertex *v = (*it)->getVertex(i);
@@ -553,7 +563,8 @@ void export_gregion_mesh(GRegion *gr, const string &filename)
out << endl;
counter++;
}
- for(auto it = gr->prisms.begin(); it != gr->prisms.end(); it++) {
+ for(vector<MPrism *>::iterator it = gr->prisms.begin();
+ it != gr->prisms.end(); it++) {
out << counter << " 6 2 0 26";
for(std::size_t i = 0; i < (*it)->getNumVertices(); i++) {
MVertex *v = (*it)->getVertex(i);
@@ -562,7 +573,8 @@ void export_gregion_mesh(GRegion *gr, const string &filename)
out << endl;
counter++;
}
- for(auto it = gr->pyramids.begin(); it != gr->pyramids.end(); it++) {
+ for(vector<MPyramid *>::iterator it = gr->pyramids.begin();
+ it != gr->pyramids.end(); it++) {
out << counter << " 7 2 0 26";
for(std::size_t i = 0; i < (*it)->getNumVertices(); i++) {
MVertex *v = (*it)->getVertex(i);
@@ -593,7 +605,10 @@ bool compare_hex_ptr_by_quality(Hex *a, Hex *b)
Recombinator::~Recombinator()
{
- for(auto it = potential.begin(); it != potential.end(); it++) { delete *it; }
+ for(std::vector<Hex *>::iterator it = potential.begin();
+ it != potential.end(); it++) {
+ delete *it;
+ }
}
void Recombinator::execute()
@@ -602,8 +617,8 @@ void Recombinator::execute()
// Backup the current mesh
model->writeMSH("beforeyamakawa.msh");
- for(auto region_itr = model->firstRegion(); region_itr != model->lastRegion();
- region_itr++) {
+ for(GModel::riter region_itr = model->firstRegion();
+ region_itr != model->lastRegion(); region_itr++) {
GRegion *region = *region_itr;
if(region->getNumMeshElements() > 0) { execute(region); }
@@ -632,7 +647,8 @@ void Recombinator::print_all_potential_hex() const
std::cout
<< "__________________________ START POT HEX LISTING ____________________ "
<< endl;
- for(auto it = potential.begin(); it != potential.end(); it++) {
+ for(std::vector<Hex *>::const_iterator it = potential.begin();
+ it != potential.end(); it++) {
cout << "--- Potential hex : " << *(*it) << " " << (*it)->get_quality()
<< endl;
}
@@ -706,13 +722,13 @@ void Recombinator::pattern1()
remove_values_from_set(bin3, added);
added.resize(7);
- for(auto it1 = bin1.begin(); it1 != bin1.end(); it1++) {
+ for(vertex_set_itr it1 = bin1.begin(); it1 != bin1.end(); it1++) {
MVertex *p = *it1;
added[4] = p;
- for(auto it2 = bin2.begin(); it2 != bin2.end(); it2++) {
+ for(vertex_set_itr it2 = bin2.begin(); it2 != bin2.end(); it2++) {
MVertex *q = *it2;
added[5] = q;
- for(auto it3 = bin3.begin(); it3 != bin3.end(); it3++) {
+ for(vertex_set_itr it3 = bin3.begin(); it3 != bin3.end(); it3++) {
MVertex *r = *it3;
added[6] = r;
if(p != q && p != r && q != r) {
@@ -721,7 +737,8 @@ void Recombinator::pattern1()
tet_mesh.vertices_around_vertices(p, q, r, bin4);
remove_values_from_set(bin4, added);
- for(auto it4 = bin4.begin(); it4 != bin4.end(); it4++) {
+ for(std::set<MVertex *>::iterator it4 = bin4.begin();
+ it4 != bin4.end(); it4++) {
MVertex *s = *it4;
Hex *hex = new Hex(a, b, q, c, d, p, s, r);
@@ -768,10 +785,10 @@ void Recombinator::pattern2()
MVertex *s = find(a, b, d, c, verif);
MVertex *p = find(b, c, d, a, verif);
- if(s != nullptr && p != nullptr) {
+ if(s != NULL && p != NULL) {
MVertex *r = find(s, b, d, a, verif);
MVertex *q = find(p, b, d, c, verif);
- if(r != nullptr && q != nullptr) {
+ if(r != 0 && q != 0) {
// 2 possible hexes
Hex *hex = new Hex(a, s, b, c, d, r, q, p);
add_or_free_potential_hex(hex);
@@ -815,12 +832,11 @@ void Recombinator::pattern3()
MVertex *bA = find(a, c, b, d, verif2);
MVertex *bB = find(a, c, d, b, verif2);
- if(fA != nullptr && fB != nullptr && bA != nullptr && bB != nullptr &&
- fA != fB && bA != bB) {
+ if(fA != 0 && fB != 0 && bA != 0 && bB != 0 && fA != fB && bA != bB) {
if(scalar(fA, fB, a, b) > scalar(fA, fB, b, c) &&
scalar(bA, bB, a, b) > scalar(bA, bB, b, c)) {
- MVertex *p = nullptr;
- MVertex *q = nullptr;
+ MVertex *p = NULL;
+ MVertex *q = NULL;
if(distance(fA, b, c) < distance(fB, b, c)) {
p = fA;
q = fB;
@@ -830,8 +846,8 @@ void Recombinator::pattern3()
q = fA;
}
- MVertex *r = nullptr;
- MVertex *s = nullptr;
+ MVertex *r = NULL;
+ MVertex *s = NULL;
if(distance(bA, b, c) < distance(bB, b, c)) {
r = bA;
s = bB;
@@ -860,8 +876,8 @@ void Recombinator::pattern3()
} // copy paste alert
else if(scalar(fA, fB, a, b) <= scalar(fA, fB, b, c) &&
scalar(bA, bB, a, b) <= scalar(bA, bB, b, c)) {
- MVertex *p = nullptr;
- MVertex *q = nullptr;
+ MVertex *p = NULL;
+ MVertex *q = NULL;
if(distance(fA, a, b) < distance(fB, a, b)) {
p = fA;
q = fB;
@@ -870,8 +886,8 @@ void Recombinator::pattern3()
p = fB;
q = fA;
}
- MVertex *r = nullptr;
- MVertex *s = nullptr;
+ MVertex *r = NULL;
+ MVertex *s = NULL;
if(distance(bA, a, b) < distance(bB, a, b)) {
r = bA;
s = bB;
@@ -919,9 +935,10 @@ void add_hex_to_region(GRegion *region, const Hex &hex)
bool Recombinator::are_all_tets_free(const std::set<MElement *> &tets) const
{
- for(auto it = tets.begin(); it != tets.end(); it++) {
+ for(std::set<MElement *>::const_iterator it = tets.begin(); it != tets.end();
+ it++) {
MElement *tet = *it;
- auto it2 = markings.find(tet);
+ std::map<MElement *, bool>::const_iterator it2 = markings.find(tet);
if(it2->second == true) { return false; }
}
return true;
@@ -929,8 +946,9 @@ bool Recombinator::are_all_tets_free(const std::set<MElement *> &tets) const
void Recombinator::mark_tets(const std::set<MElement *> &tets)
{
- for(auto it = tets.begin(); it != tets.end(); ++it) {
- auto it2 = markings.find(*it);
+ for(std::set<MElement *>::const_iterator it = tets.begin(); it != tets.end();
+ ++it) {
+ std::map<MElement *, bool>::iterator it2 = markings.find(*it);
it2->second = true;
}
}
@@ -938,7 +956,8 @@ void Recombinator::mark_tets(const std::set<MElement *> &tets)
void remove_slivers(std::set<MElement *> &tets, const Hex &hex,
std::set<MElement *> &slivers)
{
- for(auto it = tets.begin(); it != tets.end(); ++it) {
+ for(std::set<MElement *>::iterator it = tets.begin(); it != tets.end();
+ ++it) {
if(is_combinatorially_sliver(*it, hex)) {
slivers.insert(*it);
tets.erase(it);
@@ -955,7 +974,7 @@ void Recombinator::delete_marked_tets_in_region() const
current_region->tetrahedra.clear();
for(unsigned int i = 0; i < copy_tets.size(); i++) {
MElement *element = (MElement *)(copy_tets[i]);
- auto it2 = markings.find(element);
+ std::map<MElement *, bool>::const_iterator it2 = markings.find(element);
if(it2->second == false) {
current_region->tetrahedra.push_back(copy_tets[i]);
}
@@ -1058,7 +1077,8 @@ void Recombinator::build_tuples()
std::vector<GFace *> faces = current_region->faces();
- for(auto it = faces.begin(); it != faces.end(); it++) {
+ for(std::vector<GFace *>::iterator it = faces.begin(); it != faces.end();
+ it++) {
GFace *gf = *it;
for(unsigned int i = 0; i < gf->getNumMeshElements(); i++) {
@@ -1104,7 +1124,8 @@ void Recombinator::create_quads_on_boundary()
void Recombinator::delete_quad_triangles_in_boundary() const
{
std::vector<GFace *> faces = current_region->faces();
- for(auto it = faces.begin(); it != faces.end(); it++) {
+ for(std::vector<GFace *>::iterator it = faces.begin(); it != faces.end();
+ it++) {
GFace *gf = *it;
std::vector<MElement *> triangles_to_keep;
triangles_to_keep.reserve(gf->triangles.size());
@@ -1267,11 +1288,11 @@ bool Recombinator::faces_statuquo(MVertex *a, MVertex *b, MVertex *c,
Tuple tuple1(a, b, c);
Tuple tuple2(c, d, a);
- auto it1 = tuples.find(tuple1);
- auto it2 = tuples.find(tuple2);
+ std::multiset<Tuple>::iterator it1 = tuples.find(tuple1);
+ std::multiset<Tuple>::iterator it2 = tuples.find(tuple2);
- GFace *gf1 = nullptr;
- GFace *gf2 = nullptr;
+ GFace *gf1 = NULL;
+ GFace *gf2 = NULL;
while(it1 != tuples.end() && it1->get_hash() == tuple1.get_hash()) {
if(tuple1.same_vertices(*it1)) { gf1 = it1->get_gf(); }
@@ -1286,7 +1307,7 @@ bool Recombinator::faces_statuquo(MVertex *a, MVertex *b, MVertex *c,
assert((gf1 == NULL && gf2 == NULL) || (gf1 != NULL && gf2 != NULL));
- if(gf1 != nullptr && gf2 != nullptr) {
+ if(gf1 != NULL && gf2 != NULL) {
if(gf1 != gf2) { return false; }
else
return true;
@@ -1298,11 +1319,11 @@ bool Recombinator::faces_statuquo(MVertex *a, MVertex *b, MVertex *c,
Tuple tuple1(a, b, d);
Tuple tuple2(b, c, d);
- auto it1 = tuples.find(tuple1);
- auto it2 = tuples.find(tuple2);
+ std::multiset<Tuple>::iterator it1 = tuples.find(tuple1);
+ std::multiset<Tuple>::iterator it2 = tuples.find(tuple2);
- GFace *gf1 = nullptr;
- GFace *gf2 = nullptr;
+ GFace *gf1 = NULL;
+ GFace *gf2 = NULL;
while(it1 != tuples.end() && it1->get_hash() == tuple1.get_hash()) {
if(tuple1.same_vertices(*it1)) { gf1 = it1->get_gf(); }
@@ -1314,7 +1335,7 @@ bool Recombinator::faces_statuquo(MVertex *a, MVertex *b, MVertex *c,
it2++;
}
- if(gf1 != nullptr && gf2 != nullptr) {
+ if(gf1 != NULL && gf2 != NULL) {
if(gf1 != gf2) { return false; }
else
return true;
@@ -1960,7 +1981,7 @@ void Supplementary::create_quads_on_boundary(MVertex *a, MVertex *b, MVertex *c,
std::multiset<Tuple>::iterator it1;
std::multiset<Tuple>::iterator it2;
- gf1 = nullptr;
+ gf1 = NULL;
// gf2 = NULL;
tuple1 = Tuple(a, b, c);
@@ -2654,8 +2675,8 @@ bool Supplementary::faces_statuquo(MVertex *a, MVertex *b, MVertex *c,
bool ok = 1;
- gf1 = nullptr;
- gf2 = nullptr;
+ gf1 = NULL;
+ gf2 = NULL;
Tuple tuple1(a, b, c);
Tuple tuple2(c, d, a);
@@ -2744,7 +2765,7 @@ void Supplementary::build_vertex_to_vertices(GRegion *gr)
MVertex *c = element->getVertex((j + 2) % 4);
MVertex *d = element->getVertex((j + 3) % 4);
- auto it = vertex_to_vertices.find(a);
+ Vertex2Vertices::iterator it = vertex_to_vertices.find(a);
if(it != vertex_to_vertices.end()) {
it->second.insert(b);
it->second.insert(c);
@@ -2774,7 +2795,7 @@ void Supplementary::build_vertex_to_tetrahedra(GRegion *gr)
for(std::size_t j = 0; j < element->getNumVertices(); j++) {
MVertex *getVertex = element->getVertex(j);
- auto it = vertex_to_tetrahedra.find(getVertex);
+ Vertex2Elements::iterator it = vertex_to_tetrahedra.find(getVertex);
if(it != vertex_to_tetrahedra.end()) { it->second.insert(element); }
else {
bin.clear();
@@ -3061,7 +3082,7 @@ void PostOp::executeNew(GRegion *gr)
std::set<MElement *> potential;
find_tetrahedra(f.get_a(), f.get_b(), f.get_c(), potential);
- auto it = potential.begin();
+ element_set_itr it = potential.begin();
while(it != potential.end()) {
if(tetrahedra.find(*it) == tetrahedra.end())
potential.erase(it++);
@@ -3226,7 +3247,7 @@ MVertex *PostOp::otherVertexQuadFace(MFace &f, MVertex *v1, MVertex *v2,
MVertex *v3)
{
int n = 0;
- MVertex *v = nullptr;
+ MVertex *v = 0;
for(int i = 0; i < 4; ++i) {
if(f.getVertex(i) != v1 && f.getVertex(i) != v2 && f.getVertex(i) != v3) {
++n;
@@ -3234,7 +3255,7 @@ MVertex *PostOp::otherVertexQuadFace(MFace &f, MVertex *v1, MVertex *v2,
}
}
if(n == 1) return v;
- return nullptr;
+ return NULL;
}
void PostOp::matchQuadFace(MFace &f, MVertex *v1, MVertex *v2, MVertex *v3)
@@ -3563,7 +3584,7 @@ void PostOp::split_pyramids(GRegion *gr)
std::set<MElement *> otherPyr;
find_pyramids_from_quad(a, b, c, d, otherPyr);
if(otherPyr.size() == 2) {
- auto myit = otherPyr.begin();
+ element_set_itr myit = otherPyr.begin();
MElement *other = *myit;
if(other == element) { other = *(++myit); }
// TODO test also quality of tet after split of other pyr ?
@@ -4094,7 +4115,7 @@ void PostOp::pyramids2(MVertex *a, MVertex *b, MVertex *c, MVertex *d,
// y = (diagA->y() + diagB->y())/2.0;
// z = (diagA->z() + diagB->z())/2.0;
- mid = nullptr;
+ mid = 0;
movables.clear();
if(tetrahedra.size() > 0 || pyramids.size() > 0) {
@@ -4176,7 +4197,7 @@ void PostOp::pyramids2(MVertex *a, MVertex *b, MVertex *c, MVertex *d,
MVertex *Nin = other(*it, diagA, diagB, Nout);
// N1 = other(*it,diagA,diagB);
- if(Nout != nullptr && Nin != nullptr) {
+ if(Nout != 0 && Nin != 0) {
Ns.insert(N1);
Ns.insert(N2);
@@ -4221,7 +4242,7 @@ void PostOp::pyramids2(MVertex *a, MVertex *b, MVertex *c, MVertex *d,
build_vertex_to_pyramids(temp2);
MVertex *NoutDiag = findInTriFace(diagA, diagB, nDiagA, nDiagB, *it);
- MVertex *NoutNDiag = nullptr;
+ MVertex *NoutNDiag = NULL;
for(int iV = 0; iV < 5; iV++) {
MVertex *v = (*it)->getVertex(iV);
if(v != a && v != b && v != c && v != d && v != NoutDiag) {
@@ -4485,7 +4506,7 @@ void PostOp::create_quads_on_boundary(MVertex *a, MVertex *b, MVertex *c,
std::multiset<Tuple>::iterator it1;
std::multiset<Tuple>::iterator it2;
- gf1 = nullptr;
+ gf1 = NULL;
// gf2 = NULL;
tuple1 = Tuple(a, b, c);
@@ -4661,7 +4682,7 @@ bool PostOp::different(MVertex *v1, MVertex *v2, MVertex *v3, MVertex *v4)
MVertex *PostOp::other(MElement *element, MVertex *v1, MVertex *v2)
{
- MVertex *pointer = nullptr;
+ MVertex *pointer = NULL;
for(std::size_t i = 0; i < element->getNumVertices(); i++) {
MVertex *getVertex = element->getVertex(i);
@@ -4676,7 +4697,7 @@ MVertex *PostOp::other(MElement *element, MVertex *v1, MVertex *v2)
MVertex *PostOp::other(MElement *element, MVertex *v1, MVertex *v2, MVertex *v3)
{
- MVertex *pointer = nullptr;
+ MVertex *pointer = NULL;
for(std::size_t i = 0; i < element->getNumVertices(); i++) {
MVertex *getVertex = element->getVertex(i);
@@ -4800,13 +4821,13 @@ MVertex *PostOp::findInTriFace(MVertex *in0, MVertex *in1, MVertex *out0,
if(face.getVertex(iV) != in0 && face.getVertex(iV) != in1)
return face.getVertex(iV);
}
- return nullptr;
+ return NULL;
}
MVertex *PostOp::find(MVertex *v1, MVertex *v2, MVertex *v3, MVertex *v4,
MElement *element)
{
- MVertex *pointer = nullptr;
+ MVertex *pointer = NULL;
for(std::size_t i = 0; i < element->getNumVertices(); i++) {
MVertex *getVertex = element->getVertex(i);
@@ -5033,7 +5054,7 @@ void PostOp::build_vertex_to_tetrahedra(MElement *element)
for(std::size_t i = 0; i < element->getNumVertices(); i++) {
MVertex *getVertex = element->getVertex(i);
- auto it = vertex_to_tetrahedra.find(getVertex);
+ Vertex2Elements::iterator it = vertex_to_tetrahedra.find(getVertex);
if(it != vertex_to_tetrahedra.end()) { it->second.insert(element); }
else {
bin.clear();
@@ -5049,7 +5070,7 @@ void PostOp::erase_vertex_to_tetrahedra(MElement *element)
for(std::size_t i = 0; i < element->getNumVertices(); i++) {
MVertex *getVertex = element->getVertex(i);
- auto it = vertex_to_tetrahedra.find(getVertex);
+ Vertex2Elements::iterator it = vertex_to_tetrahedra.find(getVertex);
if(it != vertex_to_tetrahedra.end()) { it->second.erase(element); }
}
}
@@ -5071,7 +5092,7 @@ void PostOp::build_vertex_to_pyramids(MElement *element)
for(std::size_t i = 0; i < element->getNumVertices(); i++) {
MVertex *getVertex = element->getVertex(i);
- auto it = vertex_to_pyramids.find(getVertex);
+ Vertex2Elements::iterator it = vertex_to_pyramids.find(getVertex);
if(it != vertex_to_pyramids.end()) { it->second.insert(element); }
else {
bin.clear();
@@ -5087,7 +5108,7 @@ void PostOp::erase_vertex_to_pyramids(MElement *element)
for(std::size_t i = 0; i < element->getNumVertices(); i++) {
MVertex *getVertex = element->getVertex(i);
- auto it = vertex_to_pyramids.find(getVertex);
+ Vertex2Elements::iterator it = vertex_to_pyramids.find(getVertex);
if(it != vertex_to_pyramids.end()) { it->second.erase(element); }
}
}
@@ -5109,7 +5130,7 @@ void PostOp::build_vertex_to_hexPrism(MElement *element)
for(std::size_t i = 0; i < element->getNumVertices(); i++) {
MVertex *getVertex = element->getVertex(i);
- auto it = vertex_to_hexPrism.find(getVertex);
+ Vertex2Elements::iterator it = vertex_to_hexPrism.find(getVertex);
if(it != vertex_to_hexPrism.end()) { it->second.insert(element); }
else {
bin.clear();
@@ -5125,7 +5146,7 @@ void PostOp::erase_vertex_to_hexPrism(MElement *element)
for(std::size_t i = 0; i < element->getNumVertices(); i++) {
MVertex *getVertex = element->getVertex(i);
- auto it = vertex_to_hexPrism.find(getVertex);
+ Vertex2Elements::iterator it = vertex_to_hexPrism.find(getVertex);
if(it != vertex_to_hexPrism.end()) { it->second.erase(element); }
}
}
@@ -5176,19 +5197,20 @@ void export_the_clique_graphviz_format(cliques_compatibility_graph<T> &cl,
{
ofstream out(filename.c_str());
out << "Graph G {" << endl;
- auto it_all = cl.allQ.rbegin();
+ typename multimap<int, set<T> >::reverse_iterator it_all = cl.allQ.rbegin();
for(int i = 0; i < clique_number; i++) { it_all++; }
// int clique_size = it_all->second.size();
- auto ithex = it_all->second.begin();
- auto ithexen = it_all->second.end();
+ typename set<T>::iterator ithex = it_all->second.begin();
+ typename set<T>::iterator ithexen = it_all->second.end();
int counter = 1;
map<T, int> visited_hex;
multimap<int, int> done;
// export all hex
- auto itgraph = cl.begin_graph();
+ typename cliques_compatibility_graph<T>::graph::const_iterator itgraph =
+ cl.begin_graph();
typename cliques_compatibility_graph<T>::graph_data::const_iterator
itgraphdata;
@@ -5196,7 +5218,7 @@ void export_the_clique_graphviz_format(cliques_compatibility_graph<T> &cl,
T firsthex = itgraph->second.first;
// if (!post_check_validation(firsthex)) continue;
- auto itfind = visited_hex.find(firsthex);
+ typename map<T, int>::iterator itfind = visited_hex.find(firsthex);
int num1 = 0;
if(itfind == visited_hex.end()) {
num1 = counter;
@@ -5222,7 +5244,8 @@ void export_the_clique_graphviz_format(cliques_compatibility_graph<T> &cl,
bool found = false;
pair<multimap<int, int>::iterator, multimap<int, int>::iterator> range =
done.equal_range(num1);
- for(auto it = range.first; it != range.second; it++) {
+ for(multimap<int, int>::iterator it = range.first; it != range.second;
+ it++) {
if(it->second == num2) {
found = true;
break;
@@ -5238,7 +5261,7 @@ void export_the_clique_graphviz_format(cliques_compatibility_graph<T> &cl,
// export chosen hex with different color
for(; ithex != ithexen;
ithex++) { // brutal post-check: random pickup of hexahedra in clique
- auto itfind = visited_hex.find(*ithex);
+ typename map<T, int>::iterator itfind = visited_hex.find(*ithex);
if(itfind == visited_hex.end()) {
cout << "graph export: should not happen ! " << endl;
throw;
@@ -5278,9 +5301,10 @@ void clique_stop_criteria<T>::export_corresponding_mesh(
set<MElement *> hexs;
map<MVertex *, int> vertices;
int counterv = 1;
- auto it = hex_to_tet.begin();
+ typename map<T, std::set<MElement *> >::const_iterator it =
+ hex_to_tet.begin();
for(; it != hex_to_tet.end(); it++) {
- auto itt = it->second.begin();
+ std::set<MElement *>::const_iterator itt = it->second.begin();
for(; itt != it->second.end(); itt++) {
tets.insert(*itt);
for(int i = 0; i < 4; i++) {
@@ -5291,8 +5315,10 @@ void clique_stop_criteria<T>::export_corresponding_mesh(
}
// create MHexahedron, remove included tets from set "tets"
- for(auto it = clique.begin(); it != clique.end(); it++) {
- auto itfind = hex_to_tet.find(*it);
+ for(typename graph_data_no_hash::const_iterator it = clique.begin();
+ it != clique.end(); it++) {
+ typename map<T, std::set<MElement *> >::const_iterator itfind =
+ hex_to_tet.find(*it);
if(itfind == hex_to_tet.end()) {
cout << "clique_stop_criteria::void export_corresponding_mesh : not "
"found !!!"
@@ -5300,8 +5326,8 @@ void clique_stop_criteria<T>::export_corresponding_mesh(
throw;
}
// remove tets
- for(auto ittet = itfind->second.begin(); ittet != itfind->second.end();
- ittet++) {
+ for(set<MElement *>::const_iterator ittet = itfind->second.begin();
+ ittet != itfind->second.end(); ittet++) {
tets.erase(*ittet);
}
// create MHexahedron
@@ -5331,7 +5357,8 @@ void clique_stop_criteria<T>::export_corresponding_mesh(
<< "$Nodes" << endl
<< vertices.size() << endl;
// write vertices
- for(auto it = vertices.begin(); it != vertices.end(); it++) {
+ for(map<MVertex *, int>::iterator it = vertices.begin(); it != vertices.end();
+ it++) {
out << it->second << " " << it->first->x() << " " << it->first->y() << " "
<< it->first->z() << endl;
outtets << it->second << " " << it->first->x() << " " << it->first->y()
@@ -5346,7 +5373,7 @@ void clique_stop_criteria<T>::export_corresponding_mesh(
// write hexs
int counter = 1;
int countertets = 1;
- for(auto it = hexs.begin(); it != hexs.end(); it++) {
+ for(set<MElement *>::iterator it = hexs.begin(); it != hexs.end(); it++) {
out << counter << " 5 2 0 26";
for(std::size_t i = 0; i < (*it)->getNumVertices(); i++) {
MVertex *v = (*it)->getVertex(i);
@@ -5356,7 +5383,7 @@ void clique_stop_criteria<T>::export_corresponding_mesh(
counter++;
}
// write tets
- for(auto it = tets.begin(); it != tets.end(); it++) {
+ for(set<MElement *>::iterator it = tets.begin(); it != tets.end(); it++) {
out << counter << " 4 2 0 26";
outtets << counter << " 4 2 0 26";
for(std::size_t i = 0; i < (*it)->getNumVertices(); i++) {
@@ -5388,16 +5415,18 @@ bool clique_stop_criteria<T>::stop(const graph_data_no_hash &clique) const
set<MElement *> thetets;
// set<MElement*> slivers;
- for(auto it = clique.begin(); it != clique.end(); it++) {
- auto itfind = hex_to_tet.find(*it);
+ for(typename graph_data_no_hash::const_iterator it = clique.begin();
+ it != clique.end(); it++) {
+ typename map<T, std::set<MElement *> >::const_iterator itfind =
+ hex_to_tet.find(*it);
if(itfind == hex_to_tet.end()) {
cout << "clique_stop_criteria::bool stop : not found !!!" << endl;
throw;
}
// total += (itfind->second.size());
// cout << "volumes=" << endl;
- for(auto ittet = itfind->second.begin(); ittet != itfind->second.end();
- ittet++) {
+ for(set<MElement *>::const_iterator ittet = itfind->second.begin();
+ ittet != itfind->second.end(); ittet++) {
// set<MElement*>::iterator itfindtet = thetets.find(*ittet);
// if (itfindtet!=thetets.end()){
// cout << "Tet " << *ittet << " already done !!!" << endl;
@@ -5410,14 +5439,16 @@ bool clique_stop_criteria<T>::stop(const graph_data_no_hash &clique) const
// to be sure, adding volume criteria...
vector<double> volumes;
- for(auto it = thetets.begin(); it != thetets.end(); it++) {
+ for(set<MElement *>::iterator it = thetets.begin(); it != thetets.end();
+ it++) {
volumes.push_back((*it)->getVolume());
}
int meanvolume =
(std::accumulate(volumes.begin(), volumes.end(), 0)) / volumes.size();
int nb_slivers = 0;
double threshold = 1.e-3 * meanvolume;
- for(auto it = thetets.begin(); it != thetets.end(); it++) {
+ for(set<MElement *>::iterator it = thetets.begin(); it != thetets.end();
+ it++) {
if((*it)->getVolume() < threshold) { nb_slivers++; }
}
@@ -5455,7 +5486,7 @@ template <class T> void cliques_compatibility_graph<T>::find_cliques()
{
// init
graph_data s;
- for(auto it = G.begin(); it != G.end(); it++) {
+ for(typename graph::iterator it = G.begin(); it != G.end(); it++) {
s.insert(make_pair(it->first, it->second.first));
}
find_cliques(s, 0);
@@ -5514,7 +5545,8 @@ template <class T> void cliques_compatibility_graph<T>::store_clique(int n)
}
}
if(store_it) {
- auto itstore = allQ.insert(make_pair(Q.size(), set<T>()));
+ typename multimap<int, set<T> >::iterator itstore =
+ allQ.insert(make_pair(Q.size(), set<T>()));
itstore->second.insert(Q.begin(), Q.end());
// for (typename graph_data_no_hash::iterator it = Q.begin(); it != Q.end();
// it++) {
@@ -5583,7 +5615,7 @@ void cliques_compatibility_graph<T>::find_cliques(graph_data &subgraph, int n)
return;
}
if(subgraph.size() == 1) {
- auto ittemp = subgraph.begin();
+ typename graph_data::iterator ittemp = subgraph.begin();
T u = ittemp->second;
Q.insert(u);
store_clique(n);
@@ -5622,7 +5654,7 @@ void cliques_compatibility_graph<T>::find_cliques(graph_data &subgraph, int n)
black.clear();
if(white.size() > 0) {
- auto ittemp = white.begin();
+ typename graph_data::iterator ittemp = white.begin();
u = ittemp->second;
u_key = ittemp->first;
fill_black_set(u, u_key, subgraph, black); // building the black set only
@@ -5637,7 +5669,7 @@ void cliques_compatibility_graph<T>::erase_entry(graph_data &subgraph, T &u,
pair<typename graph_data::iterator, typename graph_data::iterator> range =
subgraph.equal_range(key);
- auto it = range.first;
+ typename graph_data::iterator it = range.first;
for(; it != range.second; it++) {
if(it->second == u) {
subgraph.erase(it);
@@ -5655,7 +5687,8 @@ void cliques_compatibility_graph<T>::choose_u(const graph_data &subgraph, T &u,
hash_key &u_key)
{
double valuemax = -DBL_MAX;
- for(auto it = subgraph.begin(); it != subgraph.end(); it++) {
+ for(typename graph_data::const_iterator it = subgraph.begin();
+ it != subgraph.end(); it++) {
double value = function_to_maximize_for_u(it->second, it->first, subgraph);
if(value > valuemax) {
valuemax = value;
@@ -5674,7 +5707,7 @@ void cliques_compatibility_graph<T>::split_set_BW(const T &u,
{
// splitting set subgraph into white and black nodes
white.insert(make_pair(u_key, u));
- auto it = subgraph.begin();
+ typename graph_data::const_iterator it = subgraph.begin();
for(; it != subgraph.end(); it++) {
if(u == (it->second)) continue;
if(!compatibility(u, u_key, it->second, it->first))
@@ -5691,7 +5724,7 @@ void cliques_compatibility_graph<T>::fill_black_set(const T &u,
graph_data &black)
{
// filling black set
- auto it = subgraph.begin();
+ typename graph_data::const_iterator it = subgraph.begin();
for(; it != subgraph.end(); it++) {
if(u == (it->second)) continue;
if(compatibility(u, u_key, it->second, it->first))
@@ -5707,7 +5740,8 @@ double cliques_compatibility_graph<T>::function_to_maximize_for_u(
const T &u, const hash_key &u_key, const graph_data &subgraph)
{
int counter = 0;
- for(auto it = subgraph.begin(); it != subgraph.end(); it++) {
+ for(typename graph_data::const_iterator it = subgraph.begin();
+ it != subgraph.end(); it++) {
if((it->second) == u) continue;
if(compatibility(u, u_key, it->second, it->first)) counter++;
}
@@ -5724,15 +5758,15 @@ bool cliques_compatibility_graph<T>::compatibility(const T &u,
// Find u data
pair<typename graph::const_iterator, typename graph::const_iterator>
range_ukey = G.equal_range(u_key);
- auto itfind_u = range_ukey.first;
+ typename graph::const_iterator itfind_u = range_ukey.first;
for(; itfind_u != range_ukey.second; itfind_u++) {
if(itfind_u->second.first == u) break;
}
// Check if v is in u data
pair<typename graph_data::const_iterator, typename graph_data::const_iterator>
range_vkey = itfind_u->second.second.equal_range(v_key);
- for(auto itfind_v = range_vkey.first; itfind_v != range_vkey.second;
- itfind_v++) {
+ for(typename graph_data::const_iterator itfind_v = range_vkey.first;
+ itfind_v != range_vkey.second; itfind_v++) {
if(itfind_v->second == v) { return true; }
}
return false;
@@ -5796,7 +5830,8 @@ bool PEEntity::hasVertex(MVertex *v) const
bool PEEntity::same_vertices(const PEEntity *t) const
{
- for(auto it = vertices.begin(); it != vertices.end(); it++) {
+ for(vector<MVertex *>::const_iterator it = vertices.begin();
+ it != vertices.end(); it++) {
if(!(t->hasVertex(*it))) return false;
}
return true;
@@ -5903,7 +5938,7 @@ void Recombinator_Graph::fill_tet_to_hex_table(Hex *hex)
// non, c'est pas toujours le cas !!! ???
set<MVertex *> vertices;
- for(auto it = parts.begin(); it != parts.end(); it++) {
+ for(element_set_itr it = parts.begin(); it != parts.end(); it++) {
element = *it;
for(int i = 0; i < 4; i++) { vertices.insert(element->getVertex(i)); }
}
@@ -5932,7 +5967,8 @@ void Recombinator_Graph::fill_tet_to_hex_table(Hex *hex)
// deviennent b c d a, on a une rotation et un hex tout pourri... mais qui a
// même hash et mêmes noeuds ?!?! now, check if the hex already exists...
if(!bypass) {
- auto itfind = find_the_created_potential_hex(hex, created_potential_hex);
+ graph_data::const_iterator itfind =
+ find_the_created_potential_hex(hex, created_potential_hex);
if(itfind != created_potential_hex.end()) {
delete hex;
if(very_verbose)
@@ -5954,7 +5990,7 @@ void Recombinator_Graph::fill_tet_to_hex_table(Hex *hex)
// counting the number of triangular external faces. If different from 12,
// discard the hex ! if not, build the face/hex table
std::multimap<unsigned long long, pair<PETriangle *, int> > faces_temp;
- for(auto it_tet = parts.begin(); it_tet != parts.end();
+ for(element_set_itr it_tet = parts.begin(); it_tet != parts.end();
it_tet++) { // for all tets
for(int i = 0; i < 4; i++) { // for all faces
MFace f = (*it_tet)->getFace(i);
@@ -5963,8 +5999,10 @@ void Recombinator_Graph::fill_tet_to_hex_table(Hex *hex)
}
int count = 0;
- auto it_face = faces_temp.begin();
- auto it_faceen = faces_temp.end();
+ std::multimap<unsigned long long, pair<PETriangle *, int> >::iterator
+ it_face = faces_temp.begin();
+ std::multimap<unsigned long long, pair<PETriangle *, int> >::iterator
+ it_faceen = faces_temp.end();
for(; it_face != it_faceen; it_face++) // counting
if(it_face->second.second == 1) count++;
@@ -5993,7 +6031,7 @@ void Recombinator_Graph::fill_tet_to_hex_table(Hex *hex)
// might be a source of the above problem... but I am quite unsure. JP.
created_potential_hex.insert(make_pair(hex->get_hash(), hex));
add_edges(hex);
- for(auto it = parts.begin(); it != parts.end(); it++) {
+ for(element_set_itr it = parts.begin(); it != parts.end(); it++) {
element = *it;
tet_to_hex[element].insert(hex);
hex_to_tet[hex].insert(element);
@@ -6056,11 +6094,11 @@ void Recombinator_Graph::execute_blossom(unsigned int max_nb_cliques,
Recombinator_Graph::~Recombinator_Graph()
{
- for(auto it = triangular_faces.begin(); it != triangular_faces.end(); it++) {
+ for(iter it = triangular_faces.begin(); it != triangular_faces.end(); it++) {
delete it->second;
}
- for(auto it = edges_and_diagonals.begin(); it != edges_and_diagonals.end();
- it++) {
+ for(linemap::iterator it = edges_and_diagonals.begin();
+ it != edges_and_diagonals.end(); it++) {
delete it->second;
}
@@ -6097,10 +6135,11 @@ void Recombinator_Graph::createBlossomInfo(GRegion *gr)
cout << "recover blossom info" << endl;
- for(auto it = faces.begin(); it != faces.end(); it++) {
+ for(std::vector<GFace *>::iterator it = faces.begin(); it != faces.end();
+ it++) {
gf = *it;
- auto it_quad = gf->quadrangles.begin();
+ std::vector<MQuadrangle *>::iterator it_quad = gf->quadrangles.begin();
for(; it_quad != gf->quadrangles.end(); it_quad++) {
element = *it_quad;
@@ -6284,7 +6323,7 @@ PETriangle *Recombinator_Graph::get_triangle(MElement *element, int i, int j,
v.push_back(element->getVertex(j));
v.push_back(element->getVertex(k));
t = new PETriangle(v);
- auto itfind = find_the_triangle(t, triangular_faces);
+ citer itfind = find_the_triangle(t, triangular_faces);
if(itfind == triangular_faces.end()) {
itfind = triangular_faces.insert(make_pair(t->get_hash(), t));
}
@@ -6401,8 +6440,8 @@ void Recombinator_Graph::merge_clique(GRegion *gr,
cliques_losses_graph<Hex *> &cl,
int clique_number)
{
- auto it_all = cl.allQ.rbegin();
- auto it_allen = cl.allQ.rend();
+ multimap<int, set<Hex *> >::reverse_iterator it_all = cl.allQ.rbegin();
+ multimap<int, set<Hex *> >::reverse_iterator it_allen = cl.allQ.rend();
int clique_counter = 0;
std::set<MElement *> parts;
// int clique_size = 0;
@@ -6414,8 +6453,8 @@ void Recombinator_Graph::merge_clique(GRegion *gr,
// cout << "--------------------- clique " << clique_counter << " made of ";
// clique_size = it_all->second.size();
- auto ithex = it_all->second.begin();
- auto ithexen = it_all->second.end();
+ set<Hex *>::iterator ithex = it_all->second.begin();
+ set<Hex *>::iterator ithexen = it_all->second.end();
double quality = 0.;
int count = 0;
@@ -6441,7 +6480,7 @@ bool Recombinator_Graph::merge_hex(GRegion *gr, Hex *hex)
MHexahedron *h = new MHexahedron(hex->vertices());
gr->addHexahedron(h);
- auto it_tet_to_remove = hex_to_tet[hex].begin();
+ std::set<MElement *>::iterator it_tet_to_remove = hex_to_tet[hex].begin();
std::vector<MTetrahedron *>::iterator itfind_tet_region;
for(; it_tet_to_remove != hex_to_tet[hex].end(); it_tet_to_remove++) {
itfind_tet_region = std::find(gr->tetrahedra.begin(), gr->tetrahedra.end(),
@@ -6474,8 +6513,8 @@ void Recombinator_Graph::export_tets(set<MElement *> &tetset, Hex *hex,
ofstream out(ss.str().c_str());
out << "View \"hex tets parts\" {" << endl;
- auto it = tetset.begin();
- auto iten = tetset.end();
+ element_set_itr it = tetset.begin();
+ element_set_itr iten = tetset.end();
int count = 0;
for(; it != iten; it++, count++) {
out << "SS(";
@@ -6505,8 +6544,8 @@ void Recombinator_Graph::export_single_hex_tet(Hex *hex, const string &s)
ofstream out(ss.str().c_str());
out << "View \"hex tets\" {" << endl;
- auto it = hex_to_tet[hex].begin();
- auto iten = hex_to_tet[hex].end();
+ element_set_itr it = hex_to_tet[hex].begin();
+ element_set_itr iten = hex_to_tet[hex].end();
int count = 0;
for(; it != iten; it++, count++) {
out << "SS(";
@@ -6570,8 +6609,8 @@ void Recombinator_Graph::export_single_hex_faces(Hex *hex, const string &s)
ofstream out(ss.str().c_str());
out << "View \"hex faces\" {" << endl;
- auto it = hex_to_faces[hex].begin();
- auto iten = hex_to_faces[hex].end();
+ std::set<PETriangle *>::iterator it = hex_to_faces[hex].begin();
+ std::set<PETriangle *>::iterator iten = hex_to_faces[hex].end();
int count = 0;
for(; it != iten; it++, count++) {
out << "ST(";
@@ -6600,7 +6639,7 @@ void Recombinator_Graph::export_hex_init_degree(
ss << ".pos";
ofstream out(ss.str().c_str());
- auto it = chosen_hex.begin();
+ std::vector<Hex *>::const_iterator it = chosen_hex.begin();
out << "View \"hex\" {" << endl;
for(; it != chosen_hex.end(); it++) {
out << "SH(";
@@ -6609,7 +6648,7 @@ void Recombinator_Graph::export_hex_init_degree(
out << v->x() << "," << v->y() << "," << v->z();
if(n != 7) out << ",";
}
- auto itfind = init_degree.find(*it);
+ map<Hex *, int>::const_iterator itfind = init_degree.find(*it);
out << "){";
for(int n = 0; n < 8; n++) {
out << itfind->second;
@@ -6654,7 +6693,7 @@ void Recombinator_Graph::export_all_hex(int &file, GRegion *gr)
ssinit << ".pos";
ofstream out(ss.str().c_str());
- auto it = gr->hexahedra.begin();
+ std::vector<MHexahedron *>::iterator it = gr->hexahedra.begin();
int i = 1;
out << "View \"hex\" {" << endl;
for(; it != gr->hexahedra.end(); it++, i++) {
@@ -6688,9 +6727,9 @@ bool Recombinator_Graph::is_not_good_enough(Hex *hex)
// tetrahedra For the entry to be added the hex also have to be good_enough
void Recombinator_Graph::create_indirect_neighbors_graph()
{
- auto it_tet = tet_to_hex.begin();
+ std::map<MElement *, std::set<Hex *> >::iterator it_tet = tet_to_hex.begin();
for(; it_tet != tet_to_hex.end(); it_tet++) {
- auto it_hex1 = it_tet->second.begin();
+ std::set<Hex *>::iterator it_hex1 = it_tet->second.begin();
for(; it_hex1 != it_tet->second.end(); it_hex1++) {
Hex *hex = *it_hex1;
@@ -6700,7 +6739,7 @@ void Recombinator_Graph::create_indirect_neighbors_graph()
continue;
}
if(is_not_good_enough(hex)) { continue; }
- auto itfind_graph = find_hex_in_graph(hex);
+ graph::iterator itfind_graph = find_hex_in_graph(hex);
if(itfind_graph == incompatibility_graph.end()) {
// Add the hex to the graph
itfind_graph = incompatibility_graph.insert(
@@ -6709,7 +6748,7 @@ void Recombinator_Graph::create_indirect_neighbors_graph()
}
// Link the hex as incompatible to all the good enough hex
// that share the current tet
- for(auto it_hex2 = it_tet->second.begin();
+ for(std::set<Hex *>::iterator it_hex2 = it_tet->second.begin();
it_hex2 != it_tet->second.end(); it_hex2++) {
Hex *hex2 = *it_hex2;
if(hex != hex2 && !is_not_good_enough(hex2)) {
@@ -6727,7 +6766,7 @@ Recombinator_Graph::find_the_created_potential_hex(
{
std::pair<graph_data::const_iterator, graph_data::const_iterator> range =
list.equal_range(hex->get_hash());
- for(auto it = range.first; it != range.second; it++) {
+ for(graph_data::const_iterator it = range.first; it != range.second; it++) {
Hex *candidate = it->second;
if(candidate->same_vertices(hex)) { return it; }
}
@@ -6743,7 +6782,9 @@ Recombinator_Graph::find_the_triangle(
std::multimap<unsigned long long, pair<PETriangle *, int> >::iterator,
std::multimap<unsigned long long, pair<PETriangle *, int> >::iterator>
range = list.equal_range(t->get_hash());
- for(auto it = range.first; it != range.second; it++) {
+ for(std::multimap<unsigned long long, pair<PETriangle *, int> >::iterator it =
+ range.first;
+ it != range.second; it++) {
PETriangle *candidate = it->second.first;
if(candidate->same_vertices(t)) {
it->second.second++;
@@ -6757,7 +6798,7 @@ Recombinator_Graph::citer
Recombinator_Graph::find_the_triangle(PETriangle *t, const trimap &list)
{
std::pair<citer, citer> range = list.equal_range(t->get_hash());
- for(auto it = range.first; it != range.second; it++) {
+ for(citer it = range.first; it != range.second; it++) {
if(it->second->same_vertices(t)) return it;
}
return list.end();
@@ -6768,7 +6809,7 @@ Recombinator_Graph::find_the_line(PELine *t, const linemap &list)
{
std::pair<linemap::const_iterator, linemap::const_iterator> range =
list.equal_range(t->get_hash());
- for(auto it = range.first; it != range.second; it++) {
+ for(linemap::const_iterator it = range.first; it != range.second; it++) {
if(it->second->same_vertices(t)) return it;
}
return list.end();
@@ -6780,7 +6821,7 @@ void Recombinator_Graph::export_direct_neighbor_table(int max)
ss << "neighbors_table";
ofstream out(ss.str().c_str());
- auto it = ndegree.begin();
+ std::multimap<int, Hex *>::iterator it = ndegree.begin();
int counter = 0;
out << " n neighbors_rank hex* quality" << endl;
@@ -6818,7 +6859,8 @@ void Recombinator_Graph::export_direct_neighbor_table(int max)
void print_stats_graph(const Recombinator_Graph::graph &in)
{
int total = 0;
- for(auto it = in.begin(); it != in.end(); it++) {
+ for(Recombinator_Graph::graph::const_iterator it = in.begin(); it != in.end();
+ it++) {
total += it->second.second.size();
}
size_t nb_entries = in.size();
@@ -6843,7 +6885,9 @@ void Recombinator_Graph::create_losses_graph(GRegion *gr)
// common) but DO NOT pass the compatibility tests)
void Recombinator_Graph::create_direct_neighbors_incompatibility_graph()
{
- for(auto it_hex = hex_to_tet.begin(); it_hex != hex_to_tet.end(); it_hex++) {
+ for(std::map<Hex *, std::set<MElement *> >::iterator it_hex =
+ hex_to_tet.begin();
+ it_hex != hex_to_tet.end(); it_hex++) {
Hex *hex = it_hex->first;
if(is_not_good_enough(hex)) {
// Why is it even there in the first place? JP
@@ -6851,7 +6895,7 @@ void Recombinator_Graph::create_direct_neighbors_incompatibility_graph()
}
// Find or create the hex data in the incompatibility graph
- auto itfind_graph = find_hex_in_graph(hex);
+ graph::iterator itfind_graph = find_hex_in_graph(hex);
if(itfind_graph == incompatibility_graph.end()) {
incompatibility_graph.insert(
make_pair(hex->get_hash(), make_pair(hex, graph_data())));
@@ -6864,12 +6908,13 @@ void Recombinator_Graph::create_direct_neighbors_incompatibility_graph()
std::vector<Hex *> visited_hex;
// Check compatibility with the that share an facet with hex
const std::set<PETriangle *> &hex_faces = hex_to_faces[hex];
- for(auto it_faces = hex_faces.begin(); it_faces != hex_faces.end();
- it_faces++) {
+ for(std::set<PETriangle *>::const_iterator it_faces = hex_faces.begin();
+ it_faces != hex_faces.end(); it_faces++) {
PETriangle *face = *it_faces;
const std::set<Hex *> &hex_sharing_triangle = faces_to_hex[face];
- for(auto it_neighbors = hex_sharing_triangle.begin();
+ for(std::set<Hex *>::const_iterator it_neighbors =
+ hex_sharing_triangle.begin();
it_neighbors != hex_sharing_triangle.end(); it_neighbors++) {
Hex *other_hex = *it_neighbors;
if(other_hex == hex) continue;
@@ -6888,11 +6933,12 @@ void Recombinator_Graph::create_direct_neighbors_incompatibility_graph()
// change following...
const std::set<PELine *> &hex_edges = hex_to_edges[hex];
- for(auto it_line = hex_edges.begin(); it_line != hex_edges.end();
- it_line++) {
+ for(std::set<PELine *>::const_iterator it_line = hex_edges.begin();
+ it_line != hex_edges.end(); it_line++) {
PELine *line = *it_line;
const std::set<Hex *> &hex_sharing_edge = edges_to_hex[line];
- for(auto it_neighbors = hex_sharing_edge.begin();
+ for(std::set<Hex *>::const_iterator it_neighbors =
+ hex_sharing_edge.begin();
it_neighbors != hex_sharing_edge.end(); it_neighbors++) {
Hex *other_hex = *it_neighbors;
if(other_hex == hex) continue;
@@ -6961,7 +7007,8 @@ void Recombinator_Graph::add_face(
v.push_back(b);
v.push_back(c);
PETriangle *q = new PETriangle(v);
- auto itfind = find_the_triangle(q, f);
+ std::multimap<unsigned long long, pair<PETriangle *, int> >::iterator itfind =
+ find_the_triangle(q, f);
if(itfind == f.end()) { f.insert(make_pair(q->get_hash(), make_pair(q, 1))); }
else {
delete q;
@@ -6975,7 +7022,7 @@ void Recombinator_Graph::add_face(MVertex *a, MVertex *b, MVertex *c, Hex *hex)
v.push_back(b);
v.push_back(c);
PETriangle *q = new PETriangle(v);
- auto itfind = find_the_triangle(q, triangular_faces);
+ citer itfind = find_the_triangle(q, triangular_faces);
if(itfind == triangular_faces.end()) {
itfind = triangular_faces.insert(make_pair(q->get_hash(), q));
}
@@ -7012,7 +7059,7 @@ void Recombinator_Graph::fill_edges_table(
// see if already exists or not...
PELine *l = new PELine(edge);
- auto itfind = find_the_line(l, edges_and_diagonals);
+ linemap::const_iterator itfind = find_the_line(l, edges_and_diagonals);
if(itfind == edges_and_diagonals.end()) {
itfind = edges_and_diagonals.insert(make_pair(l->get_hash(), l));
}
@@ -7034,7 +7081,7 @@ Recombinator_Graph::find_hex_in_graph(Hex *hex)
incompatibility_graph.equal_range(hex->get_hash());
if(range.first == range.second) return incompatibility_graph.end();
- auto it = range.first;
+ graph::iterator it = range.first;
for(; it != range.second; it++) {
if(it->second.first == hex) { return it; }
}
@@ -7048,7 +7095,7 @@ Recombinator_Graph::find_hex_in_graphrow(Hex *hex, graph_data &row)
row.equal_range(hex->get_hash());
if(range.first == range.second) return row.end();
- auto it = range.first;
+ graph_data::iterator it = range.first;
for(; it != range.second; it++) {
if(it->second == hex) { return it; }
}
@@ -7057,17 +7104,17 @@ Recombinator_Graph::find_hex_in_graphrow(Hex *hex, graph_data &row)
bool Recombinator_Graph::find_hex_couple_in_graph(Hex *hex, Hex *other_hex)
{
- auto it = find_hex_in_graph(hex);
+ graph::iterator it = find_hex_in_graph(hex);
if(it == incompatibility_graph.end()) return false;
- auto itt = find_hex_in_graphrow(other_hex, it->second.second);
+ graph_data::iterator itt = find_hex_in_graphrow(other_hex, it->second.second);
if(itt == it->second.second.end()) return false;
return true;
}
void Recombinator_Graph::add_graph_entry(Hex *hex, Hex *other_hex)
{
- auto itfind_graph = find_hex_in_graph(hex);
+ graph::iterator itfind_graph = find_hex_in_graph(hex);
if(itfind_graph == incompatibility_graph.end()) {
itfind_graph = incompatibility_graph.insert(
@@ -7086,11 +7133,13 @@ void Recombinator_Graph::compute_hex_ranks()
{
create_faces_connectivity();
- for(auto it = hex_to_faces.begin(); it != hex_to_faces.end(); it++) {
+ for(std::map<Hex *, set<PETriangle *> >::iterator it = hex_to_faces.begin();
+ it != hex_to_faces.end(); it++) {
Hex *hex = it->first;
// Count the number of facets on boundary for the hex
int boundary_count = 0.;
- for(auto itf = it->second.begin(); itf != it->second.end(); itf++) {
+ for(set<PETriangle *>::iterator itf = it->second.begin();
+ itf != it->second.end(); itf++) {
PETriangle *face = *itf;
if(faces_connectivity[face] == 1) boundary_count += 1.;
}
@@ -7105,7 +7154,9 @@ void Recombinator_Graph::compute_hex_ranks()
// Complex way to get the number of tets around a triangular facet
void Recombinator_Graph::create_faces_connectivity()
{
- for(auto it_tet = tet_to_hex.begin(); it_tet != tet_to_hex.end(); it_tet++) {
+ for(std::map<MElement *, std::set<Hex *> >::iterator it_tet =
+ tet_to_hex.begin();
+ it_tet != tet_to_hex.end(); it_tet++) {
add_face_connectivity(it_tet->first, 0, 1, 2);
add_face_connectivity(it_tet->first, 0, 1, 3);
add_face_connectivity(it_tet->first, 0, 2, 3);
@@ -7123,7 +7174,7 @@ void Recombinator_Graph::add_face_connectivity(MElement *tet, int i, int j,
v.push_back(tet->getVertex(j));
v.push_back(tet->getVertex(k));
t = new PETriangle(v);
- auto itfind = find_the_triangle(t, triangular_faces);
+ citer itfind = find_the_triangle(t, triangular_faces);
if(itfind != triangular_faces.end()) { faces_connectivity[itfind->second]++; }
delete t;
}
@@ -7132,13 +7183,15 @@ void Recombinator_Graph::compute_hex_ranks_blossom()
{
create_faces_connectivity();
- for(auto it = hex_to_faces.begin(); it != hex_to_faces.end(); it++) {
+ for(map<Hex *, set<PETriangle *> >::iterator it = hex_to_faces.begin();
+ it != hex_to_faces.end(); it++) {
Hex *hex = it->first;
double nb_faces_on_boundary = 0.;
- for(auto face = it->second.begin(); face != it->second.end(); face++) {
+ for(set<PETriangle *>::iterator face = it->second.begin();
+ face != it->second.end(); face++) {
if(faces_connectivity[*face] == 1) nb_faces_on_boundary += 1.;
}
- auto itfind = hex_ranks.find(hex);
+ map<Hex *, vector<double> >::iterator itfind = hex_ranks.find(hex);
if(itfind == hex_ranks.end())
hex_ranks.insert(make_pair(hex, vector<double>(3)));
hex_ranks[hex][0] = nb_faces_on_boundary;
@@ -7179,14 +7232,14 @@ PETriangle *Recombinator_Graph::get_triangle(MVertex *a, MVertex *b, MVertex *c)
v.push_back(b);
v.push_back(c);
PETriangle *t = new PETriangle(v);
- auto it_find_tri = find_the_triangle(t, triangular_faces);
+ citer it_find_tri = find_the_triangle(t, triangular_faces);
delete t;
return (it_find_tri->second);
}
bool Recombinator_Graph::is_blossom_pair(PETriangle *t1, PETriangle *t2)
{
- auto itfind = blossom_info.find(t1);
+ tripair::iterator itfind = blossom_info.find(t1);
if(itfind != blossom_info.end()) {
if(t2 == itfind->second) return true;
}
diff --git a/contrib/domhex/yamakawa.h b/contrib/domhex/yamakawa.h
index 1ffb80da657bebba55fc1842fcdbfd69a20cf83b..71be39101d39ae6a66d260b26e1f007f31d4277c 100644
--- a/contrib/domhex/yamakawa.h
+++ b/contrib/domhex/yamakawa.h
@@ -1,4 +1,4 @@
-// Gmsh - Copyright (C) 1997-2021 C. Geuzaine, J.-F. Remacle
+// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
@@ -75,7 +75,7 @@ public:
else {
cout << "Hex: unknown vertex number " << i << endl;
throw;
- return nullptr;
+ return NULL;
}
}
const std::vector<MVertex *> &vertices() const { return vertices_; }
@@ -104,7 +104,7 @@ public:
bool contains(MVertex *v) const { return vertex_index(v) != -1; }
unsigned long long get_hash()
{
- if(hash == 0. && vertices_[0] != nullptr) { set_hash(); }
+ if(hash == 0. && vertices_[0] != NULL) { set_hash(); }
return hash;
}
bool operator<(const Hex &hex) const
@@ -121,7 +121,7 @@ private:
unsigned long long hash;
public:
- Facet() : a(nullptr), b(nullptr), c(nullptr), hash(0.)
+ Facet() : a(NULL), b(NULL), c(NULL), hash(0.)
{
num[0] = -1;
num[1] = -1;
@@ -176,7 +176,7 @@ private:
void compute_hash() { hash = a->getNum() + b->getNum(); }
public:
- Diagonal() : a(nullptr), b(nullptr), hash(){};
+ Diagonal() : a(NULL), b(NULL), hash(){};
Diagonal(MVertex *a2, MVertex *b2) : a(a2), b(b2) { compute_hash(); }
~Diagonal(){};
MVertex *get_a() const { return a; }
@@ -206,15 +206,15 @@ private:
public:
Tuple()
- : vertex1(nullptr), vertex2(nullptr), vertex3(nullptr), element(nullptr),
- gf(nullptr), hash(0)
+ : vertex1(NULL), vertex2(NULL), vertex3(NULL), element(NULL), gf(NULL),
+ hash(0)
{
}
Tuple(MVertex *const a, MVertex *const b, MVertex *const c,
MElement *const element2, GFace *const gf2)
- : vertex1(nullptr), vertex2(nullptr), vertex3(nullptr), element(element2),
- gf(gf2), hash(a->getNum() + b->getNum() + c->getNum())
+ : vertex1(NULL), vertex2(NULL), vertex3(NULL), element(element2), gf(gf2),
+ hash(a->getNum() + b->getNum() + c->getNum())
{
MVertex *tmp[3] = {a, b, c};
std::sort(tmp, tmp + 3);
@@ -224,8 +224,8 @@ public:
}
Tuple(MVertex *const a, MVertex *const b, MVertex *const c)
- : vertex1(nullptr), vertex2(nullptr), vertex3(nullptr), element(nullptr),
- gf(nullptr), hash(a->getNum() + b->getNum() + c->getNum())
+ : vertex1(NULL), vertex2(NULL), vertex3(NULL), element(NULL), gf(NULL),
+ hash(a->getNum() + b->getNum() + c->getNum())
{
MVertex *tmp[3] = {a, b, c};
std::sort(tmp, tmp + 3);
@@ -331,7 +331,8 @@ private:
MVertex *b = tet->getVertex((j + 1) % 4);
MVertex *c = tet->getVertex((j + 2) % 4);
MVertex *d = tet->getVertex((j + 3) % 4);
- auto it = vertex_to_vertices_.find(a);
+ std::map<MVertex *, std::set<MVertex *> >::iterator it =
+ vertex_to_vertices_.find(a);
if(it != vertex_to_vertices_.end()) {
it->second.insert(b);
it->second.insert(c);
@@ -356,7 +357,8 @@ private:
MElement *tet = region->getMeshElement(i);
for(unsigned int j = 0; j < 4; j++) {
MVertex *getVertex = tet->getVertex(j);
- auto it = vertex_to_elements_.find(getVertex);
+ std::map<MVertex *, std::set<MElement *> >::iterator it =
+ vertex_to_elements_.find(getVertex);
if(it != vertex_to_elements_.end()) { it->second.insert(tet); }
else {
std::set<MElement *> bin;
@@ -381,7 +383,7 @@ public:
typedef std::map<MVertex *, std::set<MVertex *> > Vertex2Vertices;
typedef std::map<MVertex *, std::set<MElement *> > Vertex2Elements;
- Recombinator() : current_region(nullptr), hex_threshold_quality(0.6){};
+ Recombinator() : current_region(NULL), hex_threshold_quality(0.6){};
virtual ~Recombinator();
virtual void execute();
diff --git a/contrib/mobile/Android/app/build.gradle b/contrib/mobile/Android/app/build.gradle
index fc4758b2ed363291895ba843945903cadb93bc1b..7c3bf89d9527be6ddcf3f66e18d602ead2e75962 100644
--- a/contrib/mobile/Android/app/build.gradle
+++ b/contrib/mobile/Android/app/build.gradle
@@ -5,7 +5,7 @@ android {
defaultConfig {
applicationId "org.geuz.onelab"
- minSdkVersion 16
+ minSdkVersion 23
targetSdkVersion 29
ndk.abiFilters "arm64-v8a"
}
diff --git a/contrib/mobile/Android/app/src/main/AndroidManifest.xml b/contrib/mobile/Android/app/src/main/AndroidManifest.xml
index 078345354dbe1608fe7688592d802a88597f8195..8af3a4e70df0c214c517dc96ca98bc117d8703a9 100644
--- a/contrib/mobile/Android/app/src/main/AndroidManifest.xml
+++ b/contrib/mobile/Android/app/src/main/AndroidManifest.xml
@@ -1,10 +1,10 @@
<manifest xmlns:android="http://schemas.android.com/apk/res/android"
package="org.geuz.onelab"
android:versionName="2.3.4"
- android:versionCode="53"
+ android:versionCode="58"
android:installLocation="auto" >
- <uses-sdk android:minSdkVersion="16"
+ <uses-sdk android:minSdkVersion="23"
android:targetSdkVersion="29" />
<uses-permission android:name="android.permission.WRITE_EXTERNAL_STORAGE"/>
<uses-permission android:name="android.permission.VIBRATE"/>
diff --git a/contrib/mobile/Android/app/src/main/java/org/geuz/onelab/AboutActivity.java b/contrib/mobile/Android/app/src/main/java/org/geuz/onelab/AboutActivity.java
index 44913c3a5b3d0e7c2f2e3104d460cddd8ef466c0..029db83b54e8098f74fb6d425482941af6e34cdd 100644
--- a/contrib/mobile/Android/app/src/main/java/org/geuz/onelab/AboutActivity.java
+++ b/contrib/mobile/Android/app/src/main/java/org/geuz/onelab/AboutActivity.java
@@ -59,7 +59,7 @@ public class AboutActivity extends Activity {
_webview.loadDataWithBaseURL(
"",
"<html><head><style type=\"text/css\">" + css +
- " h3 { text-align: center; } </style></head><h3>Onelab/Mobile</h3> <h4>Running an existing model</h4> <p> The list of available models appears when you launch the app. Selecting a model will load it. You can then press <b>Run</b> to launch a simulation with the default set of parameters. When available, additional information about a model can be obtained by long-pressing on the model description and selecting <b>Visit model website</b>.</p> <h4>Modifying a model</h4> <p>To run a model with different parameters, press <b>Parameters</b> and modify any of the presets. Then press <b>Run</b> again: all the simulation steps will be performed with the new parameter values. To restore the preset parameters values, press <b>Reset</b>. </p> <p> Advanced users can also directly edit the model input files: long-press on the model description and select <b>Edit model files</b>. </p> <p> To free up space, temporary model files (meshes, solution files) can be removed by long-pressing on the model description and selecting <b>Clear results</b>. </p> <p> To completey remove a model, long-press on the model description and select <b>Remove</b>. </p> <h4>Sharing a model</h4> <p> To share a model by email, long-press on the model description and select <b>Email model files</b>. </p> <h4>Installing a new model</h4> <p> To install a new model: <ol> <li>Put all the model files (.pro, .geo) in a directory, which should also contain a file named <code>infos.xml</code> with the model information: <pre>\n<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<models>\n <model>\n <title>Model title</title>\n <summary>Model summary</summary>\n <file type=\"pro\">main_pro_file.pro</file>\n <preview type=\"png\">128x128_pixel_screenshot.png</preview>\n <url>http://model_website.com</url>\n </model>\n</models>\n</pre><li>Zip the directory. <li>Open the .zip file on your device, e.g. by copying it on an SD card, through Google Drive or by emailing it to yourself and opening the attachment; or by putting it on a web server and downloading the file on the device with Chrome. <li>Refresh the list of models: the new model will be extracted alongside Onelab/Mobile\'s built-in models.</ol> <p style=\"padding-top: 2em;\">Visit <a href=\"http://onelab.info/\">http://onelab.info/</a> for more information.</p> </body></html>",
+ " h3 { text-align: center; } </style></head><h3>Onelab/Mobile</h3> <h4>Running an existing model</h4> <p> The list of available models appears when you launch the app. Selecting a model will load it. You can then press <b>Run</b> to launch a simulation with the default set of parameters. When available, additional information about a model can be obtained by long-pressing on the model description and selecting <b>Visit model website</b>.</p> <h4>Modifying a model</h4> <p>To run a model with different parameters, press <b>Parameters</b> and modify any of the presets. Then press <b>Run</b> again: all the simulation steps will be performed with the new parameter values. To restore the preset parameters values, press <b>Reset</b>. </p> <p> Advanced users can also directly edit the model input files: long-press on the model description and select <b>Edit model files</b>. </p> <p> To free up space, temporary model files (meshes, solution files) can be removed by long-pressing on the model description and selecting <b>Clear results</b>. </p> <p> To completey remove a model, long-press on the model description and select <b>Remove</b>. </p> <h4>Sharing a model</h4> <p> To share a model by email, long-press on the model description and select <b>Email model files</b>. </p> <h4>Installing a new model</h4> <p> To install a new model: <ol> <li>Put all the model files (.pro, .geo) in a directory, which should also contain a file named <code>infos.xml</code> with the model information: <pre>\n<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<models>\n <model>\n <title>Model title</title>\n <summary>Model summary</summary>\n <file type=\"pro\">main_pro_file.pro</file>\n <preview type=\"png\">128x128_pixel_screenshot.png</preview>\n <url>http://model_website.com</url>\n </model>\n</models>\n</pre><li>Zip the directory. <li>Open the .zip file on your device, e.g. by copying it on an SD card, through Google Drive or by emailing it to yourself and opening the attachment; or by putting it on a web server and downloading the file on the device with Chrome. <li>Refresh the list of models: the new model will be extracted alongside Onelab/Mobile\'s built-in models.</ol> <p style=\"padding-top: 2em;\">Visit <a href=\"https://onelab.info/\">https://onelab.info/</a> for more information.</p> </body></html>",
"text/html", "UTF-8", "");
}
else {
@@ -105,7 +105,7 @@ public class AboutActivity extends Activity {
"<p>Copyright (C) 2014-2021 Christophe Geuzaine and Maxime Graulich, ";
aboutOnelab += "University of Liège</p>";
aboutOnelab +=
- "<p>Visit <a href=\"http://onelab.info/\">http://onelab.info/</a> ";
+ "<p>Visit <a href=\"https://onelab.info/\">https://onelab.info/</a> ";
aboutOnelab += "for more information</p>";
aboutOnelab +=
"<p> </p><p>This version of Onelab/Mobile contains:</p></center>";
diff --git a/contrib/mobile/Android/build.gradle b/contrib/mobile/Android/build.gradle
index 97f835e50c66183f5ff1927148ed88fad7e98afa..fc82e6802c828bd7928343f5c4552fe11c2a01ab 100644
--- a/contrib/mobile/Android/build.gradle
+++ b/contrib/mobile/Android/build.gradle
@@ -5,7 +5,7 @@ buildscript {
jcenter()
}
dependencies {
- classpath 'com.android.tools.build:gradle:3.5.3'
+ classpath 'com.android.tools.build:gradle:4.0.0'
}
}
diff --git a/contrib/mobile/drawContext.cpp b/contrib/mobile/drawContext.cpp
index 4fb577ea993acb5de162b5b5acf441a35a8b976e..961bc7f28f027f14ca8578fada738e31a7f23749 100644
--- a/contrib/mobile/drawContext.cpp
+++ b/contrib/mobile/drawContext.cpp
@@ -47,8 +47,8 @@ drawContext::drawContext(float fontFactor, bool retina)
static void checkGlError(const char *op)
{
- // for (GLint error = glGetError(); error; error = glGetError())
- // Msg::Error("%s: glError (0x%x)",op,error);
+ for (GLint error = glGetError(); error; error = glGetError())
+ printf("*** %s: glError (0x%x)\n", op, error);
}
void drawContext::load(std::string filename)
@@ -1175,7 +1175,11 @@ int onelab_cb(std::string action)
if(action == "reset") {
onelab::server::instance()->clear();
- onelabUtils::runGmshClient(action, true);
+ try {
+ onelabUtils::runGmshClient(action, true);
+ } catch(...) {
+ printf("*** runGmshClient() exception\n");
+ }
action = "check";
}
@@ -1189,7 +1193,11 @@ int onelab_cb(std::string action)
do {
// run Gmsh (only if necessary)
- onelabUtils::runGmshClient(action, true);
+ try {
+ onelabUtils::runGmshClient(action, true);
+ } catch(...) {
+ printf("*** runGmshClient() exception\n");
+ }
// run GetDP (always -- to not confuse the user)
onelab::string o("GetDP/Action", action);
@@ -1225,11 +1233,12 @@ int onelab_cb(std::string action)
try {
getdp(args, onelab::server::instance());
} catch(...) {
- Msg::Error("Calculation was aborted");
+ printf("*** getdp() exception\n");
}
} while(action == "compute" && !onelabStop &&
(onelabUtils::incrementLoop("3") || onelabUtils::incrementLoop("2") ||
onelabUtils::incrementLoop("1")));
+
onelabStop = false;
locked = false;
return onelab::server::instance()->getChanged();
diff --git a/contrib/mobile/iOS/Onelab/AboutViewController.mm b/contrib/mobile/iOS/Onelab/AboutViewController.mm
index aea6fba0fc6b57232664bc32548e12659f2bdf90..c28f35b787034c778345dfe113790248129bf13a 100644
--- a/contrib/mobile/iOS/Onelab/AboutViewController.mm
+++ b/contrib/mobile/iOS/Onelab/AboutViewController.mm
@@ -78,15 +78,15 @@
@"h3>Version %@<p>Copyright (C) 2014-2021 Christophe "
@"Geuzaine and Maxime Graulich, University of "
@"Liège</p><p>Visit <a "
- @"href=\"http://onelab.info/\">http://onelab.info/</a> for "
+ @"href=\"https://onelab.info/\">https://onelab.info/</a> for "
@"more information</p><p style=\"padding-top: 35px;\">This "
@"version of Onelab/Mobile "
@"contains:</p><h3>Gmsh</h3>Version %s (<i>Build date:</i> "
@"%s)<p>Copyright (C) 1997-2021 Christophe Geuzaine and "
@"Jean-François Remacle</p><p><a "
- @"href=\"http://geuz.org/gmsh/CREDITS.txt\">Credits</"
+ @"href=\"https://gmsh.info/CREDITS.txt\">Credits</"
@"a> and <a "
- @"href=\"http://geuz.org/gmsh/LICENSE.txt\">licensing "
+ @"href=\"https://gmsh.info/LICENSE.txt\">licensing "
@"information</a></p><p><i>Build options:</i> "
@"%s</p><p>Visit <a "
@"href=\"https://gmsh.info/\">https://gmsh.info</a> for more "
@@ -94,9 +94,9 @@
@"date:</i> %s)<p>Copyright (C) 1997-2021 Patrick Dular "
@"and Christophe Geuzaine, University of "
@"Liège</p><p><a "
- @"href=\"http://geuz.org/getdp/CREDITS.txt\">Credits</"
+ @"href=\"https://getdp.info/CREDITS.txt\">Credits</"
@"a> and <a "
- @"href=\"http://geuz.org/getdp/LICENSE.txt\">licensing "
+ @"href=\"https://getdp.info/LICENSE.txt\">licensing "
@"information</a></p><p><i>Build options:</i> "
@"%s</p><p>Visit <a "
@"href=\"https://getdp.info\">https://getdp.info</a> for "
@@ -160,7 +160,7 @@
@"Safari. <li>Refresh the list of models: the new model "
@"will be extracted alongside Onelab/Mobile\'s built-in "
@"models.</ol> <p style=\"padding-top: 2em;\">Visit <a "
- @"href=\"http://onelab.info/\">http://onelab.info/</a> for "
+ @"href=\"https://onelab.info/\">https://onelab.info/</a> for "
@"more information.</p> </body></html>",
css]
baseURL:[[NSBundle mainBundle] bundleURL]];
diff --git a/contrib/mobile/iOS/Onelab/Onelab-Info.plist b/contrib/mobile/iOS/Onelab/Onelab-Info.plist
index 4caada0751170c69ee6c81054f98660fee4c2217..39d0b292eaf5b5f0077a057718c4cbfdd842f59b 100644
--- a/contrib/mobile/iOS/Onelab/Onelab-Info.plist
+++ b/contrib/mobile/iOS/Onelab/Onelab-Info.plist
@@ -30,7 +30,7 @@
<key>CFBundleName</key><string>${PRODUCT_NAME}</string>
<key>CFBundlePackageType</key><string>APPL</string>
<key>CFBundleShortVersionString</key><string>2.3.4</string>
- <key>CFBundleVersion</key><string>53</string>
+ <key>CFBundleVersion</key><string>56</string>
<key>CFBundleSignature</key><string>????</string>
<key>LSRequiresIPhoneOS</key><true/>
<key>UIFileSharingEnabled</key><true/>
diff --git a/contrib/mobile/iOS/Onelab/OptionsViewController.mm b/contrib/mobile/iOS/Onelab/OptionsViewController.mm
index 0d73bd302f4c4255f16a48f8afe7d3c6af955d91..2e8b4628067a6c20b9a8880e5ab34475ee1a2933 100644
--- a/contrib/mobile/iOS/Onelab/OptionsViewController.mm
+++ b/contrib/mobile/iOS/Onelab/OptionsViewController.mm
@@ -138,7 +138,8 @@
- (UITableViewCell *)tableView:(UITableView *)tableView
cellForRowAtIndexPath:(NSIndexPath *)indexPath
{
- UITableViewCell *cell = [tableView cellForRowAtIndexPath:indexPath];
+ UITableViewCell *cell =
+ [tableView dequeueReusableCellWithIdentifier:@"postproCell"];
if(cell == nil) {
cell = [[UITableViewCell alloc] initWithStyle:UITableViewCellStyleDefault
reuseIdentifier:@"postproCell"];
@@ -148,88 +149,79 @@
cell = [[UITableViewCell alloc] initWithStyle:UITableViewCellStyleDefault
reuseIdentifier:@"postproCell"];
}
+
+ [cell setSelectionStyle:UITableViewCellSelectionStyleNone];
[cell
setFrame:CGRectMake(cell.frame.origin.x, cell.frame.origin.x,
tableView.frame.size.width, cell.frame.size.height)];
switch(indexPath.section) {
case 0: {
- [cell setSelectionStyle:UITableViewCellSelectionStyleNone];
- UISwitch *showHideOptions =
+ UISwitch *showHide =
[[UISwitch alloc] initWithFrame:CGRectMake(15, 6.5, 100, 30)];
- UILabel *lblOptions = [[UILabel alloc]
- initWithFrame:CGRectMake(25 + (showHideOptions.frame.size.width), 8,
+ UILabel *label = [[UILabel alloc]
+ initWithFrame:CGRectMake(25 + (showHide.frame.size.width), 8,
(tableView.frame.size.width -
- (showHideOptions.frame.size.width) - 50),
+ (showHide.frame.size.width) - 50),
30)];
// set font size at 90% of default size
- lblOptions.font = [lblOptions.font fontWithSize:(0.9 * lblOptions.font.pointSize)];
+ label.font =
+ [label.font fontWithSize:(0.9 * label.font.pointSize)];
if(indexPath.row == 0) {
- [lblOptions setText:@"Show geometry points"];
- [showHideOptions setOn:(CTX::instance()->geom.points)];
- [showHideOptions addTarget:self
+ [label setText:@"Show geometry points"];
+ [showHide setOn:(CTX::instance()->geom.points)];
+ [showHide addTarget:self
action:@selector(setShowGeomPoints:)
forControlEvents:UIControlEventValueChanged];
}
else if(indexPath.row == 1) {
- [lblOptions setText:@"Show geometry curves"];
- [showHideOptions setOn:(CTX::instance()->geom.curves)];
- [showHideOptions addTarget:self
+ [label setText:@"Show geometry curves"];
+ [showHide setOn:(CTX::instance()->geom.curves)];
+ [showHide addTarget:self
action:@selector(setShowGeomCurves:)
forControlEvents:UIControlEventValueChanged];
}
else if(indexPath.row == 2) {
- [lblOptions setText:@"Show mesh surface edges"];
- [showHideOptions setOn:(CTX::instance()->mesh.surfaceEdges)];
- [showHideOptions addTarget:self
+ [label setText:@"Show mesh surface edges"];
+ [showHide setOn:(CTX::instance()->mesh.surfaceEdges)];
+ [showHide addTarget:self
action:@selector(setShowMeshSurfaceEdges:)
forControlEvents:UIControlEventValueChanged];
}
else if(indexPath.row == 3) {
- [lblOptions setText:@"Show mesh volume edges"];
- [showHideOptions setOn:CTX::instance()->mesh.volumeEdges];
- [showHideOptions addTarget:self
+ [label setText:@"Show mesh volume edges"];
+ [showHide setOn:CTX::instance()->mesh.volumeEdges];
+ [showHide addTarget:self
action:@selector(setShowMeshVolumeEdges:)
forControlEvents:UIControlEventValueChanged];
}
- [cell addSubview:showHideOptions];
- [cell addSubview:lblOptions];
+ [cell.contentView addSubview:showHide];
+ [cell.contentView addSubview:label];
} break;
case 1: {
- NSArray *rows = [tableView indexPathsForVisibleRows];
- for(NSIndexPath *mIndexpath in rows)
- if(![mIndexpath isEqual:indexPath]) {
- UITableViewCell *tmp = [tableView cellForRowAtIndexPath:indexPath];
- for(UIView *tmpv in tmp.subviews)
- for(UIView *v in tmpv.subviews)
- if([v isKindOfClass:[UISwitch class]])
- [(UISwitch *)v setOn:PView::list[v.tag]->getOptions()->visible];
- }
-
- [cell setSelectionStyle:UITableViewCellSelectionStyleGray];
int i = (int)(PView::list.size() - 1 - indexPath.row);
cell.accessoryType = UITableViewCellAccessoryDisclosureIndicator;
UISwitch *showHide =
[[UISwitch alloc] initWithFrame:CGRectMake(15, 6.5, 100, 30)];
- UILabel *lbl = [[UILabel alloc]
+ UILabel *label = [[UILabel alloc]
initWithFrame:CGRectMake(25 + (showHide.frame.size.width), 8,
(tableView.frame.size.width -
showHide.frame.size.width - 50),
30)];
// set font size at 90% of default size
- lbl.font = [lbl.font fontWithSize:(0.9 * lbl.font.pointSize)];
+ label.font = [label.font fontWithSize:(0.9 * label.font.pointSize)];
[showHide setOn:(PView::list[i]->getOptions()->visible == 1)];
[showHide setTag:i];
[showHide addTarget:self
action:@selector(PViewVisible:)
forControlEvents:UIControlEventValueChanged];
- [lbl setBackgroundColor:[UIColor clearColor]];
- [lbl setText:[Utils getStringFromCString:PView::list[i]
+ [label setBackgroundColor:[UIColor clearColor]];
+ [label setText:[Utils getStringFromCString:PView::list[i]
->getData()
->getName()
.c_str()]];
- [cell addSubview:showHide];
- [cell addSubview:lbl];
+ [cell.contentView addSubview:showHide];
+ [cell.contentView addSubview:label];
} break;
}
return cell;
diff --git a/contrib/mobile/iOS/Onelab/ParametersViewController.mm b/contrib/mobile/iOS/Onelab/ParametersViewController.mm
index 5b181d414c2397e16e254a042c0b5631e04a13e9..14ac83284526a64f9d883ecb85b7c00abf4f3c90 100644
--- a/contrib/mobile/iOS/Onelab/ParametersViewController.mm
+++ b/contrib/mobile/iOS/Onelab/ParametersViewController.mm
@@ -411,25 +411,25 @@ NSInteger compareParameter(id p1, id p2, void *context)
cellForRowAtIndexPath:(NSIndexPath *)indexPath
{
// get the param with his name
- static NSString *CellIdentifier = @"parameterCell";
if(indexPath.section >= _sections.count)
return [[UITableViewCell alloc] initWithStyle:UITableViewCellStyleDefault
- reuseIdentifier:CellIdentifier];
+ reuseIdentifier:@"parameterCell"];
NSMutableArray *sectionContent =
[_sections objectAtIndex:[indexPath section]];
if(indexPath.row >= sectionContent.count)
return [[UITableViewCell alloc] initWithStyle:UITableViewCellStyleDefault
- reuseIdentifier:CellIdentifier];
+ reuseIdentifier:@"parameterCell"];
Parameter *tmp = [sectionContent objectAtIndex:[indexPath row]];
-
- UITableViewCell *cell = [tableView cellForRowAtIndexPath:indexPath];
- if(cell == nil)
+ UITableViewCell *cell =
+ [tableView dequeueReusableCellWithIdentifier:@"parameterCell"];
+ if(cell == nil) {
cell = [[UITableViewCell alloc] initWithStyle:UITableViewCellStyleDefault
- reuseIdentifier:CellIdentifier];
+ reuseIdentifier:@"parameterCell"];
+ }
else {
cell = nil;
cell = [[UITableViewCell alloc] initWithStyle:UITableViewCellStyleDefault
- reuseIdentifier:CellIdentifier];
+ reuseIdentifier:@"parameterCell"];
}
float lm = 20.; // left margin
@@ -437,39 +437,48 @@ NSInteger compareParameter(id p1, id p2, void *context)
float h2 = cell.frame.size.height / 2.;
[cell setSelectionStyle:UITableViewCellSelectionStyleNone];
- [tmp setLabelFrame:CGRectMake(lm, 5, ww, h2)];
- [cell addSubview:[tmp getLabel]];
if([tmp isKindOfClass:[ParameterStringList class]]) {
ParameterStringList *param = (ParameterStringList *)tmp;
- [param setFrame:CGRectMake(lm, h2 + 10, ww, h2)];
- [cell addSubview:[param getUIView]];
+ [param setLabelFrame:CGRectMake(lm, 5, ww, h2)];
+ [param setFrame:CGRectMake(lm, h2 + 15, ww, h2)];
+ [cell.contentView addSubview:[param getLabel]];
+ [cell.contentView addSubview:[param getUIView]];
}
else if([tmp isKindOfClass:[ParameterNumberList class]]) {
ParameterNumberList *param = (ParameterNumberList *)tmp;
- [param setFrame:CGRectMake(lm, h2 + 10, ww, h2)];
- [cell addSubview:[param getUIView]];
+ [param setLabelFrame:CGRectMake(lm, 5, ww, h2)];
+ [param setFrame:CGRectMake(lm, h2 + 15, ww, h2)];
+ [cell.contentView addSubview:[param getLabel]];
+ [cell.contentView addSubview:[param getUIView]];
}
else if([tmp isKindOfClass:[ParameterNumberCheckbox class]]) {
ParameterNumberCheckbox *param = (ParameterNumberCheckbox *)tmp;
[param
setLabelFrame:CGRectMake(85, 12, tableView.frame.size.width - 100, h2)];
- [param setFrame:CGRectMake(lm, 6.5, ww, cell.frame.size.height)];
- [cell addSubview:[param getCheckbox]];
+ [param setFrame:CGRectMake(lm, 6.5, ww, cell.frame.size.height - 6.5)];
+ [cell.contentView addSubview:[param getLabel]];
+ [cell.contentView addSubview:[param getCheckbox]];
}
else if([tmp isKindOfClass:[ParameterNumberStepper class]]) {
ParameterNumberStepper *param = (ParameterNumberStepper *)tmp;
+ [param setLabelFrame:CGRectMake(lm, 5, ww, h2)];
[param setFrame:CGRectMake(lm, h2 + 10, ww, h2)];
- [cell addSubview:[param getStepper]];
+ [cell.contentView addSubview:[param getLabel]];
+ [cell.contentView addSubview:[param getStepper]];
}
else if([tmp isKindOfClass:[ParameterNumberRange class]]) {
ParameterNumberRange *param = (ParameterNumberRange *)tmp;
- [param setFrame:CGRectMake(lm, h2 + 10, ww, h2)];
- [cell addSubview:[param getSlider]];
+ [param setLabelFrame:CGRectMake(lm, 5, ww, h2)];
+ [param setFrame:CGRectMake(lm, h2 + 15, ww, h2)];
+ [cell.contentView addSubview:[param getLabel]];
+ [cell.contentView addSubview:[param getSlider]];
}
else if([tmp isKindOfClass:[ParameterNumberTextbox class]]) {
ParameterNumberTextbox *param = (ParameterNumberTextbox *)tmp;
+ [param setLabelFrame:CGRectMake(lm, 5, ww, h2)];
[param setFrame:CGRectMake(lm, h2 + 10, ww, h2)];
- [cell addSubview:[param getTextbox]];
+ [cell.contentView addSubview:[param getLabel]];
+ [cell.contentView addSubview:[param getTextbox]];
}
return cell;
diff --git a/contrib/mobile/utils/android_build.sh b/contrib/mobile/utils/android_build.sh
index c6070a9685e1516ef86503fced749d30891289a9..2fdcae4f59f737a56ee68cbc5c1cde56f41c493b 100755
--- a/contrib/mobile/utils/android_build.sh
+++ b/contrib/mobile/utils/android_build.sh
@@ -4,7 +4,7 @@ appname=Onelab
enable_occ=1
enable_simulator=0
version=2.3.4
-build=53 # must be incremented for each submitted build
+build=58 # must be incremented for each submitted build
while [[ $# -gt 0 ]]; do
key="$1"
diff --git a/contrib/mobile/utils/ios_build.sh b/contrib/mobile/utils/ios_build.sh
index d119a5705cd8c7e954712a610c73795cf93da4d1..82fcdf7d7ef3e94988550e1b268bffcd74dbccbc 100755
--- a/contrib/mobile/utils/ios_build.sh
+++ b/contrib/mobile/utils/ios_build.sh
@@ -6,7 +6,7 @@ enable_simulator=0
#buildtype=Debug
buildtype=Release
version=2.3.4
-build=53 # must be incremented for each submitted build
+build=56 # must be incremented for each submitted build
while [[ $# -gt 0 ]]; do
key="$1"
@@ -46,7 +46,7 @@ iphoneos_version_min="-target arm64-apple-ios9.0" # iOS 13 SDK
if [ $enable_simulator != 0 ]; then
ios=iossimulator
iphoneos=iphonesimulator
- iphoneos_version_min=
+ iphoneos_version_min="-target x86_64-apple-ios9.0" # iOS 14 SDK
fi
gmsh_git="${HOME}/src/gmsh/"
@@ -126,6 +126,8 @@ if [ $enable_simulator != 0 ]; then
# change blas/lapack for simulator
sed -e "s|lastKnownFileType = archive.ar; name = libf2cblas.a; path = ${appname}/frameworks/petsc.framework/libf2cblas.a;|lastKnownFileType = wrapper.framework; name = Accelerate.framework; path = System/Library/Frameworks/Accelerate.framework;|" -i "" $gmsh_git/contrib/mobile/build_iossimulator_${appname}/${appname}/${appname}.xcodeproj/project.pbxproj;
sed -e "s|lastKnownFileType = archive.ar; name = libf2clapack.a; path = ${appname}/frameworks/petsc.framework/libf2clapack.a;|lastKnownFileType = wrapper.framework; name = Accelerate.framework; path = System/Library/Frameworks/Accelerate.framework;|" -i "" $gmsh_git/contrib/mobile/build_iossimulator_${appname}/${appname}/${appname}.xcodeproj/project.pbxproj;
+ # change VALID_ARCHS
+ sed -e "s|VALID_ARCHS = arm64|VALID_ARCHS = x86_64|" -i "" $gmsh_git/contrib/mobile/build_iossimulator_${appname}/${appname}/${appname}.xcodeproj/project.pbxproj;
fi
# TODO:
diff --git a/contrib/onelab/python/onelab.py b/contrib/onelab/python/onelab.py
index fdf5c7d45d12753b79a4da8f700b23f441e3f4a0..026c3b2d05486838ae446ab62170459036b1c7ae 100755
--- a/contrib/onelab/python/onelab.py
+++ b/contrib/onelab/python/onelab.py
@@ -126,6 +126,8 @@ class client :
_GMSH_PARSE_STRING = 21
_GMSH_PARAMETER = 23
_GMSH_PARAMETER_QUERY = 24
+ _GMSH_PARAMETER_QUERY_ALL = 25
+ _GMSH_PARAMETER_QUERY_END = 26
_GMSH_CONNECT = 27
_GMSH_OLPARSE = 28
_GMSH_PARAMETER_NOT_FOUND = 29
@@ -194,6 +196,16 @@ class client :
elif t == self._GMSH_PARAMETER_NOT_FOUND and warn_if_not_found :
print ('Unknown parameter %s' %(param.name))
+ def _getAllParameters(self, type, lst) :
+ if not self.socket :
+ return
+ self._send(self._GMSH_PARAMETER_QUERY_ALL,
+ _parameter(type, name='dummy').tochar())
+ (t, msg) = self._receive()
+ while t == self._GMSH_PARAMETER_QUERY_ALL:
+ lst.append(_parameter(type, name='dummy').fromchar(msg))
+ (t, msg) = self._receive()
+
def defineNumber(self, name, **param):
if 'value' in param :
param["values"] = [param["value"]]
@@ -289,6 +301,16 @@ class client :
self._getParameter(param, warn_if_not_found)
return param.values
+ def getAllParameters(self):
+ lst = []
+ self._getAllParameters('number', lst)
+ self._getAllParameters('string', lst)
+ dic = {}
+ for p in lst:
+ dic[p.name] = {a[0]: getattr(p, a[0])
+ for a in _parameter._members[p.type]}
+ return dic
+
def getNumberChoices(self, name, warn_if_not_found=True):
param = _parameter('number', name=name)
self._getParameter(param, warn_if_not_found)
diff --git a/demos/api/custom_gui.cpp b/demos/api/custom_gui.cpp
index 9d4824ad5e2ffc25e0f7f4eb8efeacaf43e24c42..762dcfc70aed2b2d872f85c15e5469c4d1b8134c 100644
--- a/demos/api/custom_gui.cpp
+++ b/demos/api/custom_gui.cpp
@@ -1,5 +1,6 @@
#include <cmath>
#include <thread>
+#include <set>
#include "gmsh.h"
// This example shows how to implement a custom user interface running
@@ -45,6 +46,49 @@ void compute(const std::string &arg)
gmsh::fltk::awake("update");
}
+bool checkForEvent(const std::string ¶meters)
+{
+ std::vector<std::string> action;
+ gmsh::onelab::getString("ONELAB/Action", action);
+ if(action.empty()) {
+ }
+ else if(action[0] == "should compute") {
+ gmsh::onelab::setString("ONELAB/Action", {""});
+ gmsh::onelab::setString("ONELAB/Button", {"Stop!", "should stop"});
+ // force interface update (to show the new button label)
+ gmsh::fltk::update();
+ // start computationally intensive calculations in their own threads
+ std::vector<double> v;
+ gmsh::onelab::getNumber("My App/Number of threads", v);
+ int n = v.size() ? static_cast<int>(v[0]) : 1;
+ for(unsigned int i = 0; i < n; i++) {
+ std::thread t(compute, "My App/Thread " + std::to_string(i + 1));
+ t.detach();
+ }
+ }
+ else if(action[0] == "should stop") {
+ stop_computation = true;
+ }
+ else if(action[0] == "done computing") {
+ // should not detach threads, and join them all here
+ gmsh::onelab::setString("ONELAB/Action", {""});
+ gmsh::onelab::setString("ONELAB/Button", {"Do it!", "should compute"});
+ gmsh::fltk::update();
+ stop_computation = false;
+ }
+ else if(action[0] == "reset") {
+ // user clicked on "Reset database"
+ gmsh::onelab::setString("ONELAB/Action", {""});
+ gmsh::onelab::set(parameters);
+ gmsh::fltk::update();
+ }
+ else if(action[0] == "check") {
+ // could perform action here after each change in ONELAB parameters,
+ // e.g. rebuild a CAD model, update other parameters, ...
+ }
+ return true;
+}
+
int main(int argc, char **argv)
{
gmsh::initialize();
@@ -69,55 +113,12 @@ int main(int argc, char **argv)
gmsh::onelab::set(parameters);
// create the graphical user interface
- gmsh::fltk::initialize();
-
- while(1) {
- // check if GUI has been closed
- if(!gmsh::fltk::isAvailable()) break;
-
- // wait for an event
- gmsh::fltk::wait();
-
- // check if the user clicked on the custom ONELAB button by examining the
- // value of the "ONELAB/Action" parameter
- std::vector<std::string> action;
- gmsh::onelab::getString("ONELAB/Action", action);
- if(action.empty()) { continue; }
- else if(action[0] == "should compute") {
- gmsh::onelab::setString("ONELAB/Action", {""});
- gmsh::onelab::setString("ONELAB/Button", {"Stop!", "should stop"});
- // force interface update (to show the new button label)
- gmsh::fltk::update();
- // start computationally intensive calculations in their own threads
- std::vector<double> v;
- gmsh::onelab::getNumber("My App/Number of threads", v);
- int n = v.size() ? static_cast<int>(v[0]) : 1;
- for(unsigned int i = 0; i < n; i++) {
- std::thread t(compute, "My App/Thread " + std::to_string(i + 1));
- t.detach();
- }
- }
- else if(action[0] == "should stop") {
- stop_computation = true;
- }
- else if(action[0] == "done computing") {
- // should not detach threads, and join them all here
- gmsh::onelab::setString("ONELAB/Action", {""});
- gmsh::onelab::setString("ONELAB/Button", {"Do it!", "should compute"});
- gmsh::fltk::update();
- stop_computation = false;
- }
- else if(action[0] == "reset") {
- // user clicked on "Reset database"
- gmsh::onelab::setString("ONELAB/Action", {""});
- gmsh::onelab::set(parameters);
- gmsh::fltk::update();
- }
- else if(action[0] == "check") {
- // could perform action here after each change in ONELAB parameters,
- // e.g. rebuild a CAD model, update other parameters, ...
- continue;
- }
+ std::set<std::string> args(argv, argv + argc);
+ if(!args.count("-nopopup")) {
+ gmsh::fltk::initialize();
+ // wait for events until the GUI is closed
+ while(gmsh::fltk::isAvailable() && checkForEvent(parameters))
+ gmsh::fltk::wait();
}
gmsh::finalize();
diff --git a/demos/api/custom_gui.py b/demos/api/custom_gui.py
index df5232e8bdda0a0d548b6138bc7a7a2e6b2c13da..def58f26b4cb9413f0745e70bce18eacf668b818 100644
--- a/demos/api/custom_gui.py
+++ b/demos/api/custom_gui.py
@@ -70,23 +70,13 @@ def compute(arg):
return
-# create the graphical user interface
-if '-nopopup' not in sys.argv:
- gmsh.fltk.initialize()
-
-while 1:
- # check if GUI has been closed
- if gmsh.fltk.isAvailable() == 0:
- break
-
- # wait for an event
- gmsh.fltk.wait()
-
- # check if the user clicked on the custom ONELAB button by examining the
- # value of the "ONELAB/Action" parameter
+def checkForEvent():
+ # check if an action is requested
action = gmsh.onelab.getString("ONELAB/Action")
+ global stop_computation
if len(action) < 1:
- continue
+ # no action requested
+ pass
elif action[0] == "should compute":
gmsh.onelab.setString("ONELAB/Action", [""])
gmsh.onelab.setString("ONELAB/Button", ["Stop!", "should stop"])
@@ -113,6 +103,15 @@ while 1:
elif action[0] == "check":
# could perform action here after each change in ONELAB parameters,
# e.g. rebuild a CAD model, update other parameters, ...
- continue
+ pass
+ return 1
+
+
+# create the graphical user interface
+if "-nopopup" not in sys.argv:
+ gmsh.fltk.initialize()
+ # wait for events until the GUI is closed
+ while gmsh.fltk.isAvailable() and checkForEvent():
+ gmsh.fltk.wait()
gmsh.finalize()
diff --git a/demos/api/onelab_data.py b/demos/api/onelab_data.py
deleted file mode 100644
index 4279a7fc70f2c819682b1d6b1adf2842c238b994..0000000000000000000000000000000000000000
--- a/demos/api/onelab_data.py
+++ /dev/null
@@ -1,18 +0,0 @@
-import gmsh
-import sys
-
-if len(sys.argv) < 2:
- print("Usage: " + sys.argv[0] + " file [options]")
- exit(0)
-
-gmsh.initialize()
-
-gmsh.open(sys.argv[1])
-
-# attempts to run a client selected when opening the file (e.g. a .pro file)
-gmsh.onelab.run()
-
-json = gmsh.onelab.get()
-print(json)
-
-gmsh.finalize()
diff --git a/demos/api/onelab_run.py b/demos/api/onelab_run.py
new file mode 100644
index 0000000000000000000000000000000000000000..75c0e1838e21a6a6512715142184230a879be6f6
--- /dev/null
+++ b/demos/api/onelab_run.py
@@ -0,0 +1,37 @@
+import gmsh
+import threading
+import sys
+
+# This shows how ONELAB clients that communicate with the ONELAB server through
+# sockets can be executed using the Gmsh API, by explicitely specying the
+# command to run the client
+
+# One such example is the GetDP finite element solver (https://getdp.info).
+
+# Provided that the getdp executable is in your path, running this example in
+# the getdp/demos directory will launch two getdp clients concurrently, that
+# will both exchange data with the ONELAB server
+
+gmsh.initialize()
+
+# set a parameter in the onelab database
+gmsh.onelab.setNumber('Parameters/Materials/hc', [920000. / 2.])
+
+# run the getdp client (which will connect through a socket), by forcing the
+# value of murCore
+def compute(name, value):
+ cmd = 'getdp magnet.pro -solve Magnetostatics_phi -setnumber murCore {}'
+ gmsh.onelab.run(name, cmd.format(value))
+ return
+
+# run the two calculations in parallel
+t1 = threading.Thread(target=compute, args=('my first getdp', 20))
+t1.start()
+t2 = threading.Thread(target=compute, args=('my second getdp', 1000))
+t2.start()
+
+# wait for the 2 calculations to stop
+t1.join()
+t2.join()
+
+gmsh.finalize()
diff --git a/demos/api/onelab_data.c b/demos/api/onelab_run_auto.c
similarity index 91%
rename from demos/api/onelab_data.c
rename to demos/api/onelab_run_auto.c
index 068108327837e108e72920f58371c548a29fc428..cb9123da9c8bd5a05e076712a1bf9b0be24bf94a 100644
--- a/demos/api/onelab_data.c
+++ b/demos/api/onelab_run_auto.c
@@ -25,8 +25,6 @@ int main(int argc, char **argv)
gmshOpen(argv[1], &ierr); chk(ierr);
- /* attempts to run a client selected when opening the file (e.g. a .pro
- file) */
gmshOnelabRun("", "", &ierr); chk(ierr);
gmshOnelabGet(&json, "json", "", &ierr); chk(ierr);
diff --git a/demos/api/onelab_data.cpp b/demos/api/onelab_run_auto.cpp
similarity index 81%
rename from demos/api/onelab_data.cpp
rename to demos/api/onelab_run_auto.cpp
index 0bb41a9cc3a193fe469612d7cd7eda453400b405..9dc3006424817cd35f92fe71a51f22953eb3d7d1 100644
--- a/demos/api/onelab_data.cpp
+++ b/demos/api/onelab_run_auto.cpp
@@ -12,7 +12,6 @@ int main(int argc, char **argv)
gmsh::open(argv[1]);
- // attempts to run a client selected when opening the file (e.g. a .pro file)
gmsh::onelab::run();
std::string json;
diff --git a/demos/api/onelab_run_auto.py b/demos/api/onelab_run_auto.py
new file mode 100644
index 0000000000000000000000000000000000000000..e933ebba4f1b6138721ea8668ec8e0596acb2300
--- /dev/null
+++ b/demos/api/onelab_run_auto.py
@@ -0,0 +1,31 @@
+import gmsh
+import sys
+
+# This shows how ONELAB clients that communicate with the ONELAB server through
+# sockets can be executed using the Gmsh API, using client information stored in
+# the "Solver.Name?", "Solver.Extension?" and ""Solver.Executable?" Gmsh options
+
+# By default Gmsh defines Solver.Name0 = "GetDP" and Solver.Extension0 = ".pro".
+# Provided that Solver.Executable0 points to the GetDP executable, if you open a
+# file with the ".pro" extension with gmsh.open(), then call gmsh.onelab.run(),
+# the getdp solver will be run.
+
+# If Solver.Executable0 is not set, you can set it using
+#
+# gmsh.option.setString('Solver.Executable0', '/path/to/getdp')
+
+if len(sys.argv) < 2:
+ print("Usage: " + sys.argv[0] + " file [options]")
+ exit(0)
+
+gmsh.initialize()
+
+gmsh.open(sys.argv[1])
+
+# attempts to run a client selected when opening the file (e.g. a .pro file)
+gmsh.onelab.run()
+
+json = gmsh.onelab.get()
+print(json)
+
+gmsh.finalize()
diff --git a/demos/api/prepro.py b/demos/api/prepro.py
index 291d2ea76317322d66b20d6d3653972c090f8f8e..1236171ba7913853819234cda305ef3d5ef6a2f4 100644
--- a/demos/api/prepro.py
+++ b/demos/api/prepro.py
@@ -19,15 +19,15 @@ if len(sys.argv) > 1:
# - "ONELAB Context/Surface Template/"
# - "ONELAB Context/Volume Template/"
#
-# Double- (or right-) clicking on an entity in the GUI will then pop-up a
-# context window where instances of these variables for the given entity can be
-# edited. For example, if the "ONELAB Context/Curve Template/0Boundary
-# condition" exists, double-clicking on curve 123 in the model (or in the
-# visibility browser) will create "ONELAB Context/Curve 123/0Boundary condition"
-# (or "ONELAB Context/Physical Curve 1000/0Boundary condition" depending on the
-# choice in the context window, if curve 123 belongs to the physical curve
-# 1000). The context window is also shown automatically when a new physical
-# group is created in the GUI.
+# Double-clicking on an entity in the GUI will then pop-up a context window
+# where instances of these variables for the given entity can be edited. For
+# example, if the "ONELAB Context/Curve Template/0Boundary condition" exists,
+# double-clicking on curve 123 in the model (or in the visibility browser) will
+# create "ONELAB Context/Curve 123/0Boundary condition" (or "ONELAB
+# Context/Physical Curve 1000/0Boundary condition" depending on the choice in
+# the context window, if curve 123 belongs to the physical curve 1000). The
+# context window is also shown automatically when a new physical group is
+# created in the GUI.
#
# As usual, every time the ONELAB database is changed the "ONELAB/Action"
# parameter is set to "check", which gives the Python code the opportunity to
diff --git a/demos/api/terrain_bspline.py b/demos/api/terrain_bspline.py
index 0d879fa308b7121392ed99c48e6048d2f58833cc..b28cc20d59a51d3e5a28c8c6915b664beb67c7d5 100644
--- a/demos/api/terrain_bspline.py
+++ b/demos/api/terrain_bspline.py
@@ -36,7 +36,7 @@ gmsh.onelab.set("""[
]""")
def setMeshConstraint():
- if gmsh.onelab.getNumber('Parameters/Full-hex mesh?') == 1:
+ if gmsh.onelab.getNumber('Parameters/Full-hex mesh?')[0] == 1:
NN = 30
for c in gmsh.model.getEntities(1):
gmsh.model.mesh.setTransfiniteCurve(c[1], NN)
@@ -58,6 +58,8 @@ def checkForEvent():
setMeshConstraint()
return 1
+setMeshConstraint()
+
if "-nopopup" not in sys.argv:
gmsh.fltk.initialize()
while gmsh.fltk.isAvailable() and checkForEvent():
diff --git a/doc/gmsh.1 b/doc/gmsh.1
index 6abd478c6cf5075be1b98ae762dfac6a61567ff5..39e7919dc4035dcb4e8d0a28550100dbf4810ab0 100644
--- a/doc/gmsh.1
+++ b/doc/gmsh.1
@@ -1,4 +1,4 @@
-.TH Gmsh 1 "05 November 2020" "4.7" "Gmsh Manual Pages"
+.TH Gmsh 1 "03 March 2021" "4.8" "Gmsh Manual Pages"
.UC 4
.\" ********************************************************************
.SH NAME
diff --git a/doc/gmsh.html b/doc/gmsh.html
index 74f18dff9075f966df944fcf0b886993e7d3da61..4eb896fc6fcc0f3e5962580d8b973e904d039cd1 100644
--- a/doc/gmsh.html
+++ b/doc/gmsh.html
@@ -98,21 +98,21 @@ Public License (GPL)</a>:
<ul>
<li>
<div class="highlight">
- Current stable release (version 4.7.1, 16 November 2020):
+ Current stable release (version 4.8.0, 2 March 2021):
<ul>
<li>Download Gmsh for
- <a href="bin/Windows/gmsh-4.7.1-Windows64.zip">Windows 64-bit</a>,
- <a href="bin/Windows/gmsh-4.7.1-Windows32.zip">Windows 32-bit</a>,
- <a href="bin/Linux/gmsh-4.7.1-Linux64.tgz">Linux 64-bit</a>,
- <a href="bin/Linux/gmsh-4.7.1-Linux32.tgz">Linux 32-bit</a> or
- <a href="bin/MacOSX/gmsh-4.7.1-MacOSX.dmg">MacOS</a>
- <li>Download the <a href="src/gmsh-4.7.1-source.tgz">source code</a>
+ <a href="bin/Windows/gmsh-4.8.0-Windows64.zip">Windows 64-bit</a>,
+ <a href="bin/Windows/gmsh-4.8.0-Windows32.zip">Windows 32-bit</a>,
+ <a href="bin/Linux/gmsh-4.8.0-Linux64.tgz">Linux 64-bit</a>,
+ <a href="bin/Linux/gmsh-4.8.0-Linux32.tgz">Linux 32-bit</a> or
+ <a href="bin/MacOSX/gmsh-4.8.0-MacOSX.dmg">MacOS</a>
+ <li>Download the <a href="src/gmsh-4.8.0-source.tgz">source code</a>
<li>Download the Software Development Kit (SDK) for
- <a href="bin/Windows/gmsh-4.7.1-Windows64-sdk.zip">Windows 64-bit</a>,
- <a href="bin/Windows/gmsh-4.7.1-Windows32-sdk.zip">Windows 32-bit</a>,
- <a href="bin/Linux/gmsh-4.7.1-Linux64-sdk.tgz">Linux 64-bit</a>,
- <a href="bin/Linux/gmsh-4.7.1-Linux32-sdk.tgz">Linux 32-bit</a> or
- <a href="bin/MacOSX/gmsh-4.7.1-MacOSX-sdk.tgz">MacOS</a>
+ <a href="bin/Windows/gmsh-4.8.0-Windows64-sdk.zip">Windows 64-bit</a>,
+ <a href="bin/Windows/gmsh-4.8.0-Windows32-sdk.zip">Windows 32-bit</a>,
+ <a href="bin/Linux/gmsh-4.8.0-Linux64-sdk.tgz">Linux 64-bit</a>,
+ <a href="bin/Linux/gmsh-4.8.0-Linux32-sdk.tgz">Linux 32-bit</a> or
+ <a href="bin/MacOSX/gmsh-4.8.0-MacOSX-sdk.tgz">MacOS</a>
<li>Download both Gmsh and the SDK with pip: '<code>pip install --upgrade
<a href="https://pypi.org/project/gmsh/">gmsh</a></code>'
</ul>
diff --git a/doc/texinfo/cmake_options.texi b/doc/texinfo/cmake_options.texi
index 7c43067a059ba4df6345cde5b91a991681f5f841..c8a0c492ca706795e5d92bb59db4eeef3f3d87c0 100644
--- a/doc/texinfo/cmake_options.texi
+++ b/doc/texinfo/cmake_options.texi
@@ -114,6 +114,8 @@ Enable Poppler for displaying PDF documents (experimental) (default: OFF)
Enable private API (default: OFF)
@item ENABLE_PRO
Enable PRO extensions (default: ON)
+@item ENABLE_QUADMESHINGTOOLS
+Enable QuadMeshingTools extensions (default: ON)
@item ENABLE_QUADTRI
Enable QuadTri structured meshing extensions (default: ON)
@item ENABLE_REVOROPT
diff --git a/doc/texinfo/gmsh.texi b/doc/texinfo/gmsh.texi
index d32c502ca5765d9bd316b19a31ed01b6d3b293b6..5367aa71ca9a396ea8c2d381880a4118a4bc95db 100644
--- a/doc/texinfo/gmsh.texi
+++ b/doc/texinfo/gmsh.texi
@@ -2093,12 +2093,15 @@ be defined separately). Likewise, a curve loop defining a hole should not
have any curves in common with another curve loop defining a hole in the
same surface (in which case the two curve loops should be combined).
-@item Surface ( @var{expression} ) = @{ @var{expression-list} @} < In Sphere @{ @var{expression} @} >;
+@item Surface ( @var{expression} ) = @{ @var{expression-list} @} < In Sphere @{ @var{expression} @}, Using Point @{ @var{expression-list} @} >;
Creates a surface filling. With the built-in kernel, the first curve
-loop should be composed of either three or four curves. With the
-built-in kernel, the optional @code{In Sphere} argument forces the
-surface to be a spherical patch (the extra parameter gives the tag of
-the center of the sphere).
+loop should be composed of either three or four curves, the surface is
+constructed using transfinite interpolation, and the optional @code{In
+Sphere} argument forces the surface to be a spherical patch (the extra
+parameter gives the tag of the center of the sphere). With the
+OpenCASCADE kernel, a BSpline surface is constructucted by optimization
+to match the bounding curves, as well as the (optional) points provided
+after @code{Using Point}.
@item BSpline Surface ( @var{expression} ) = @{ @var{expression-list} @};
Creates a BSpline surface filling. Only a single curve loop made of 2, 3
@@ -6086,6 +6089,7 @@ problems. For example, on Linux you can use
@code{valgrind --leak-check=full gmsh file.geo -3}.
@c macOS: (gdb) set env DYLD_INSERT_LIBRARIES /usr/lib/libgmalloc.dylib
@c export LD_PRELOAD=libnjamd.so kill -USR1
+@c macOS: (lldb) env DYLD_INSERT_LIBRARIES=/usr/lib/libgmalloc.dylib
@end itemize
@c -------------------------------------------------------------------------
diff --git a/doc/texinfo/opt_general.texi b/doc/texinfo/opt_general.texi
index ee08683be93572f07c55fa5b074b9c27030f783d..4a468fcce607ed0c9322761057e01f6bbe434041 100644
--- a/doc/texinfo/opt_general.texi
+++ b/doc/texinfo/opt_general.texi
@@ -38,12 +38,12 @@ Saved in: @code{General.OptionsFileName}
@item General.BuildInfo
Gmsh build information (read-only)@*
-Default value: @code{"Version: 4.8.0-git-e3eb5cdb2; License: GNU General Public License; Build OS: MacOSX-sdk; Build date: 20210218; Build host: MacBook-Pro-Christophe.local; Build options: 64Bit ALGLIB ANN Bamg Blas[petsc] Blossom Cairo Cgns DIntegration Dlopen DomHex Eigen Fltk GMP Gmm Hxt Jpeg Kbipack Lapack[petsc] MathEx Med Mesh Metis Mmg Mpeg Netgen ONELAB ONELABMetamodel OpenCASCADE OpenCASCADE-CAF OpenGL OpenMP[Homebrew] OptHom P4est PETSc Parasolid ParasolidSTEP Parser Plugins Png Post QuadTri Solver TetGen/BR TouchBar Voro++ Zlib; FLTK version: 1.4.0; PETSc version: 3.14.4 (complex arithmtic); OCC version: 7.6.0; MED version: 4.1.0; Packaged by: geuzaine; Web site: https://gmsh.info; Issue tracker: https://gitlab.onelab.info/gmsh/gmsh/issues"}@*
+Default value: @code{"Version: 4.8.0-git-392ddd331; License: GNU General Public License; Build OS: MacOSX-sdk; Build date: 20210301; Build host: MBP-Christophe; Build options: 64Bit ALGLIB ANN Bamg Blossom Cairo Cgns DIntegration Dlopen DomHex Eigen Fltk GMP Gmm Hxt Jpeg Kbipack MathEx Med Mesh Metis Mmg Mpeg Netgen ONELAB ONELABMetamodel OpenCASCADE OpenCASCADE-CAF OpenGL OpenMP OptHom Parasolid ParasolidSTEP Parser Plugins Png Post QuadTri Solver TetGen/BR TouchBar Voro++ Zlib; FLTK version: 1.4.0; OCC version: 7.6.0; MED version: 4.1.0; Packaged by: geuzaine; Web site: https://gmsh.info; Issue tracker: https://gitlab.onelab.info/gmsh/gmsh/issues"}@*
Saved in: @code{-}
@item General.BuildOptions
Gmsh build options (read-only)@*
-Default value: @code{"64Bit ALGLIB ANN Bamg Blas[petsc] Blossom Cairo Cgns DIntegration Dlopen DomHex Eigen Fltk GMP Gmm Hxt Jpeg Kbipack Lapack[petsc] MathEx Med Mesh Metis Mmg Mpeg Netgen ONELAB ONELABMetamodel OpenCASCADE OpenCASCADE-CAF OpenGL OpenMP[Homebrew] OptHom P4est PETSc Parasolid ParasolidSTEP Parser Plugins Png Post QuadTri Solver TetGen/BR TouchBar Voro++ Zlib"}@*
+Default value: @code{"64Bit ALGLIB ANN Bamg Blossom Cairo Cgns DIntegration Dlopen DomHex Eigen Fltk GMP Gmm Hxt Jpeg Kbipack MathEx Med Mesh Metis Mmg Mpeg Netgen ONELAB ONELABMetamodel OpenCASCADE OpenCASCADE-CAF OpenGL OpenMP OptHom Parasolid ParasolidSTEP Parser Plugins Png Post QuadTri Solver TetGen/BR TouchBar Voro++ Zlib"}@*
Saved in: @code{-}
@item General.DefaultFileName
@@ -168,7 +168,7 @@ Saved in: @code{General.SessionFileName}
@item General.Version
Gmsh version (read-only)@*
-Default value: @code{"4.8.0-git-e3eb5cdb2"}@*
+Default value: @code{"4.8.0-git-392ddd331"}@*
Saved in: @code{-}
@item General.WatchFilePattern
diff --git a/doc/texinfo/opt_mesh.texi b/doc/texinfo/opt_mesh.texi
index 91e08e5f0085669618855d2b03d0cdf0f3187c76..3efc3587f74a043dad22138bebffb4390a28dc73 100644
--- a/doc/texinfo/opt_mesh.texi
+++ b/doc/texinfo/opt_mesh.texi
@@ -236,6 +236,16 @@ Maximum angle between edges/faces within layers of BL triangles/tets for the det
Default value: @code{0.523599}@*
Saved in: @code{General.OptionsFileName}
+@item Mesh.IgnoreParametrization
+Skip parametrization section when reading meshes in the MSH4 format.@*
+Default value: @code{0}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.IgnorePeriodicity
+Skip periodic node section and skip periodic boundary alignement step when reading meshes in the MSH2 format.@*
+Default value: @code{1}@*
+Saved in: @code{General.OptionsFileName}
+
@item Mesh.LabelSampling
Label sampling rate (display one label every `LabelSampling' elements)@*
Default value: @code{1}@*
@@ -421,86 +431,6 @@ Import MED meshes in the current model, even if several MED mesh names exist@*
Default value: @code{0}@*
Saved in: @code{General.OptionsFileName}
-@item Mesh.PartitionHexWeight
-Weight of hexahedral element for METIS load balancing (-1: automatic)@*
-Default value: @code{-1}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionLineWeight
-Weight of line element for METIS load balancing (-1: automatic)@*
-Default value: @code{-1}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionPrismWeight
-Weight of prismatic element (wedge) for METIS load balancing (-1: automatic)@*
-Default value: @code{-1}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionPyramidWeight
-Weight of pyramidal element for METIS load balancing (-1: automatic)@*
-Default value: @code{-1}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionQuadWeight
-Weight of quadrangle for METIS load balancing (-1: automatic)@*
-Default value: @code{-1}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionTrihedronWeight
-Weight of trihedron element for METIS load balancing (-1: automatic)@*
-Default value: @code{0}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionTetWeight
-Weight of tetrahedral element for METIS load balancing (-1: automatic)@*
-Default value: @code{-1}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionTriWeight
-Weight of triangle element for METIS load balancing (-1: automatic)@*
-Default value: @code{-1}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionCreateTopology
-Create boundary representation of partitions@*
-Default value: @code{1}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionCreatePhysicals
-Create physical groups for partitions, based on existing physical groups@*
-Default value: @code{1}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionCreateGhostCells
-Create ghost cells, i.e. create for each partition a ghost entity containing elements connected to neighboring partitions by at least one node.@*
-Default value: @code{0}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionSplitMeshFiles
-Write one file for each mesh partition@*
-Default value: @code{0}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionTopologyFile
-Write a .pro file with the partition topology@*
-Default value: @code{0}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionOldStyleMsh2
-Write partitioned meshes in MSH2 format using old style (i.e. by not referencing new partitioned entities, except on partition boundaries), for backward compatibility@*
-Default value: @code{1}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.PartitionConvertMsh2
-When reading partitioned meshes in MSH2 format, create new partition entities@*
-Default value: @code{1}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.ReparamMaxTriangles
-Maximum number of triangles in a single parametrization patch@*
-Default value: @code{250000}@*
-Saved in: @code{General.OptionsFileName}
-
@item Mesh.NbHexahedra
Number of hexahedra in the current mesh (read-only)@*
Default value: @code{0}@*
@@ -596,6 +526,86 @@ Optimize the mesh using Netgen to improve the quality of tetrahedral elements@*
Default value: @code{0}@*
Saved in: @code{General.OptionsFileName}
+@item Mesh.PartitionHexWeight
+Weight of hexahedral element for METIS load balancing (-1: automatic)@*
+Default value: @code{-1}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionLineWeight
+Weight of line element for METIS load balancing (-1: automatic)@*
+Default value: @code{-1}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionPrismWeight
+Weight of prismatic element (wedge) for METIS load balancing (-1: automatic)@*
+Default value: @code{-1}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionPyramidWeight
+Weight of pyramidal element for METIS load balancing (-1: automatic)@*
+Default value: @code{-1}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionQuadWeight
+Weight of quadrangle for METIS load balancing (-1: automatic)@*
+Default value: @code{-1}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionTrihedronWeight
+Weight of trihedron element for METIS load balancing (-1: automatic)@*
+Default value: @code{0}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionTetWeight
+Weight of tetrahedral element for METIS load balancing (-1: automatic)@*
+Default value: @code{-1}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionTriWeight
+Weight of triangle element for METIS load balancing (-1: automatic)@*
+Default value: @code{-1}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionCreateTopology
+Create boundary representation of partitions@*
+Default value: @code{1}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionCreatePhysicals
+Create physical groups for partitions, based on existing physical groups@*
+Default value: @code{1}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionCreateGhostCells
+Create ghost cells, i.e. create for each partition a ghost entity containing elements connected to neighboring partitions by at least one node.@*
+Default value: @code{0}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionSplitMeshFiles
+Write one file for each mesh partition@*
+Default value: @code{0}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionTopologyFile
+Write a .pro file with the partition topology@*
+Default value: @code{0}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionOldStyleMsh2
+Write partitioned meshes in MSH2 format using old style (i.e. by not referencing new partitioned entities, except on partition boundaries), for backward compatibility@*
+Default value: @code{1}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PartitionConvertMsh2
+When reading partitioned meshes in MSH2 format, create new partition entities@*
+Default value: @code{1}@*
+Saved in: @code{General.OptionsFileName}
+
+@item Mesh.PreserveNumberingMsh2
+Preserve element numbering in MSH2 format (will break meshes with multiple physical groups for a single elementary entity)@*
+Default value: @code{0}@*
+Saved in: @code{General.OptionsFileName}
+
@item Mesh.Prisms
Display mesh prisms?@*
Default value: @code{1}@*
@@ -656,18 +666,8 @@ Seed of pseudo-random number generator@*
Default value: @code{1}@*
Saved in: @code{General.OptionsFileName}
-@item Mesh.PreserveNumberingMsh2
-Preserve element numbering in MSH2 format (will break meshes with multiple physical groups for a single elementary entity)@*
-Default value: @code{0}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.IgnoreParametrization
-Skip parametrization section when reading meshes in the MSH4 format.@*
-Default value: @code{0}@*
-Saved in: @code{General.OptionsFileName}
-
-@item Mesh.IgnorePeriodicity
-Skip periodic node section and skip periodic boundary alignement step when reading meshes in the MSH2 format.@*
+@item Mesh.ReadGroupsOfElements
+Read groups of elements in UNV meshes (this will discard the elementary entity tags inferred from the element section)@*
Default value: @code{1}@*
Saved in: @code{General.OptionsFileName}
@@ -711,6 +711,11 @@ Renumber nodes and elements in a continuous sequence after mesh generation@*
Default value: @code{1}@*
Saved in: @code{General.OptionsFileName}
+@item Mesh.ReparamMaxTriangles
+Maximum number of triangles in a single parametrization patch@*
+Default value: @code{250000}@*
+Saved in: @code{General.OptionsFileName}
+
@item Mesh.SaveAll
Save all elements, even if they don't belong to physical groups (for some mesh formats, this removes physical groups altogether)@*
Default value: @code{0}@*
@@ -732,7 +737,7 @@ Default value: @code{0}@*
Saved in: @code{General.OptionsFileName}
@item Mesh.SaveGroupsOfElements
-Save groups of elements for each physical group (for INP mesh format)@*
+Save groups of elements for each physical group (for UNV and INP mesh format)@*
Default value: @code{1}@*
Saved in: @code{General.OptionsFileName}
diff --git a/doc/texinfo/version.texi b/doc/texinfo/version.texi
index 8ee7f59b92047c8d7c2bdad711f9d20329438fb1..0f54b62333de475377a6e1f544ed3911ec371cc5 100644
--- a/doc/texinfo/version.texi
+++ b/doc/texinfo/version.texi
@@ -1,4 +1,4 @@
@c This file was generated by cmake: do not edit manually!
-@set GMSH-VERSION 4.8.0 (development version)
+@set GMSH-VERSION 4.8.1 (development version)
@set GITLAB-PREFIX https://gitlab.onelab.info/gmsh/gmsh/blob/master
diff --git a/tutorial/c++/t1.cpp b/tutorial/c++/t1.cpp
index 43a9e2c2124df6ced2a8c21f2cbaa4c109df18c9..1d5f1d61c336456fd0be1ac699e47b4f1e73971b 100644
--- a/tutorial/c++/t1.cpp
+++ b/tutorial/c++/t1.cpp
@@ -145,8 +145,8 @@ int main(int argc, char **argv)
// `.msh4' extension.
// To visualize the model we can run the graphical user interface with
- // `gmsh::fltk::run()'. Here we run it only if the "-nopopup" is not provided
- // in the command line arguments:
+ // `gmsh::fltk::run()'. Here we run it only if "-nopopup" is not provided in
+ // the command line arguments:
std::set<std::string> args(argv, argv + argc);
if(!args.count("-nopopup")) gmsh::fltk::run();
diff --git a/tutorial/c++/t10.cpp b/tutorial/c++/t10.cpp
index ad3d3a9dc6615733d3617aa74c6a4e4c926984e7..fe5701cd55a3bb709668ca69fb550d3da550de88 100644
--- a/tutorial/c++/t10.cpp
+++ b/tutorial/c++/t10.cpp
@@ -95,13 +95,13 @@ int main(int argc, char **argv)
gmsh::model::mesh::field::setNumber(6, "XMax", 0.6);
gmsh::model::mesh::field::setNumber(6, "YMin", 0.3);
gmsh::model::mesh::field::setNumber(6, "YMax", 0.6);
+ gmsh::model::mesh::field::setNumber(6, "Thickness", 0.3);
// Many other types of fields are available: see the reference manual for a
// complete list. You can also create fields directly in the graphical user
// interface by selecting `Define->Size fields' in the `Mesh' module.
- // Finally, let's use the minimum of all the fields as the background mesh
- // field:
+ // Let's use the minimum of all the fields as the background mesh field:
gmsh::model::mesh::field::add("Min", 7);
gmsh::model::mesh::field::setNumbers(7, "FieldsList", {2, 3, 5, 6});
@@ -141,6 +141,14 @@ int main(int argc, char **argv)
// This will prevent over-refinement due to small mesh sizes on the boundary.
+ // Finally, while the default "Frontal-Delaunay" 2D meshing algorithm
+ // (Mesh.Algorithm = 6) usually leads to the highest quality meshes, the
+ // "Delaunay" algorithm (Mesh.Algorithm = 5) will handle complex mesh size
+ // fields better - in particular size fields with large element size
+ // gradients:
+
+ gmsh::option::setNumber("Mesh.Algorithm", 5);
+
gmsh::model::mesh::generate(2);
gmsh::write("t10.msh");
diff --git a/tutorial/python/t1.py b/tutorial/python/t1.py
index 50e42ef85a03dd528acbbc4412ec17f186adda81..3ea52a0a9a5c5f4bf7d905299bb37812964af7d0 100644
--- a/tutorial/python/t1.py
+++ b/tutorial/python/t1.py
@@ -144,8 +144,8 @@ gmsh.write("t1.msh")
# extension.
# To visualize the model we can run the graphical user interface with
-# `gmsh.fltk.run()'. Here we run it only if the "-nopopup" is not provided in
-# the command line arguments:
+# `gmsh.fltk.run()'. Here we run it only if "-nopopup" is not provided in the
+# command line arguments:
if '-nopopup' not in sys.argv:
gmsh.fltk.run()
diff --git a/tutorial/python/t10.py b/tutorial/python/t10.py
index d0702c8c6687116a4e319af496a4f2d14f5cf5be..de5808d79c81ebe1bd817058e1846c901d8dc0bf 100644
--- a/tutorial/python/t10.py
+++ b/tutorial/python/t10.py
@@ -89,12 +89,13 @@ gmsh.model.mesh.field.setNumber(6, "XMin", 0.3)
gmsh.model.mesh.field.setNumber(6, "XMax", 0.6)
gmsh.model.mesh.field.setNumber(6, "YMin", 0.3)
gmsh.model.mesh.field.setNumber(6, "YMax", 0.6)
+gmsh.model.mesh.field.setNumber(6, "Thickness", 0.3)
# Many other types of fields are available: see the reference manual for a
# complete list. You can also create fields directly in the graphical user
# interface by selecting `Define->Size fields' in the `Mesh' module.
-# Finally, let's use the minimum of all the fields as the background mesh field:
+# Let's use the minimum of all the fields as the background mesh field:
gmsh.model.mesh.field.add("Min", 7)
gmsh.model.mesh.field.setNumbers(7, "FieldsList", [2, 3, 5, 6])
@@ -132,6 +133,13 @@ gmsh.option.setNumber("Mesh.MeshSizeFromCurvature", 0)
# This will prevent over-refinement due to small mesh sizes on the boundary.
+# Finally, while the default "Frontal-Delaunay" 2D meshing algorithm
+# (Mesh.Algorithm = 6) usually leads to the highest quality meshes, the
+# "Delaunay" algorithm (Mesh.Algorithm = 5) will handle complex mesh size fields
+# better - in particular size fields with large element size gradients:
+
+gmsh.option.setNumber("Mesh.Algorithm", 5)
+
gmsh.model.mesh.generate(2)
gmsh.write("t10.msh")
diff --git a/tutorial/t10.geo b/tutorial/t10.geo
index 4b14edafe56e8a05b16205bdaa3c9399078020cd..685245a75840d85fec97c5a708fd7626ac4b59e1 100644
--- a/tutorial/t10.geo
+++ b/tutorial/t10.geo
@@ -74,13 +74,13 @@ Field[6].XMin = 0.3;
Field[6].XMax = 0.6;
Field[6].YMin = 0.3;
Field[6].YMax = 0.6;
+Field[6].Thickness = 0.3;
// Many other types of fields are available: see the reference manual for a
// complete list. You can also create fields directly in the graphical user
// interface by selecting `Define->Size fields' in the `Mesh' module.
-// Finally, let's use the minimum of all the fields as the background mesh size
-// field
+// Let's use the minimum of all the fields as the background mesh size field
Field[7] = Min;
Field[7].FieldsList = {2, 3, 5, 6};
Background Field = 7;
@@ -109,3 +109,10 @@ Mesh.MeshSizeFromPoints = 0;
Mesh.MeshSizeFromCurvature = 0;
// This will prevent over-refinement due to small mesh sizes on the boundary.
+
+// Finally, while the default "Frontal-Delaunay" 2D meshing algorithm
+// (Mesh.Algorithm = 6) usually leads to the highest quality meshes, the
+// "Delaunay" algorithm (Mesh.Algorithm = 5) will handle complex mesh size
+// fields better - in particular size fields with large element size gradients:
+
+Mesh.Algorithm = 5;
diff --git a/utils/docker/Dockerfile.ubuntu20.04 b/utils/docker/Dockerfile.ubuntu20.04
index 6d2ed143c8526a8a4386b98bb849c686f16d99ad..bf14c3c066c1c93f76bc0d8f72e7ca386694adb7 100644
--- a/utils/docker/Dockerfile.ubuntu20.04
+++ b/utils/docker/Dockerfile.ubuntu20.04
@@ -2,19 +2,21 @@ FROM ubuntu:20.04
ENV DEBIAN_FRONTEND noninteractive
-RUN apt-get update && apt-get install -y apt-utils git curl cmake g++ gfortran python3 python3-numpy python3-scipy python3-pip swig clang-tidy emacs-nox valgrind texlive texlive-latex-recommended texinfo libreoffice fonts-cmu petsc-dev slepc-dev python3-dev libopenblas-dev libfltk1.3-dev libfreetype6-dev libgl1-mesa-dev libxi-dev libxmu-dev mesa-common-dev tcl-dev tk-dev libhdf5-dev libcgns-dev libxft-dev libxinerama-dev libxcursor-dev libxfixes-dev libocct-foundation-dev libocct-data-exchange-dev libocct-ocaf-dev libopenmpi-dev libboost-dev && apt-get clean
+RUN apt-get update && apt-get install -y apt-utils git curl cmake g++ gfortran python3 python3-numpy python3-scipy python3-pip swig clang-tidy emacs-nox valgrind texlive texlive-latex-recommended texinfo libreoffice fonts-cmu petsc-dev slepc-dev python3-dev libopenblas-dev libfltk1.3-dev libfreetype6-dev libgl1-mesa-dev libxi-dev libxmu-dev mesa-common-dev tcl-dev tk-dev libhdf5-dev libcgns-dev libxft-dev libxinerama-dev libxcursor-dev libxfixes-dev libocct-foundation-dev libocct-data-exchange-dev libocct-ocaf-dev libopenmpi-dev libboost-dev cargo clang gcovr && apt-get clean
RUN pip3 install twine
# to convert a .fodt document, simply run
# soffice --headless --convert-to pdf Tutorials.fodt
-RUN apt-get update && apt-get install -y cargo && apt-get clean
RUN cargo install --root /opt/cargo mdbook --version "^0.3.7"
# mmg
RUN git clone https://github.com/MmgTools/mmg.git && cd mmg && mkdir build && cd build && cmake -DBUILD_SHARED_LIBS=1 .. && make -j8 && make install && cd .. && rm -rf mmg
+# libomp with ThreadSanitizer support (see https://gitlab.onelab.info/gmsh/gmsh/-/issues/1250)
+RUN git clone https://github.com/llvm/llvm-project && cd llvm-project && mkdir build && cd build && cmake -DLIBOMP_TSAN_SUPPORT=1 ../openmp && cmake --build . --target install
+
# "docker build --build-arg REBUILD_GMSH=somethingnew"
ARG REBUILD_GMSH=