From 46c6b8c15dd2afc2ecce1da9ca44bcfa7f02ea5b Mon Sep 17 00:00:00 2001
From: Martin Kronbichler <kronbichler@lnm.mw.tum.de>
Date: Mon, 7 Jun 2021 19:25:41 +0200
Subject: [PATCH] Fix MappingQCache::get_vertices()

---
 .../changes/minor/20210607MartinKronbichler   |    5 +
 include/deal.II/fe/mapping_q_cache.h          |    8 +
 source/fe/mapping_q_cache.cc                  |   22 +
 tests/mappings/mapping_q_cache_08.cc          |  114 +
 tests/mappings/mapping_q_cache_08.output      | 4491 +++++++++++++++++
 5 files changed, 4640 insertions(+)
 create mode 100644 doc/news/changes/minor/20210607MartinKronbichler
 create mode 100644 tests/mappings/mapping_q_cache_08.cc
 create mode 100644 tests/mappings/mapping_q_cache_08.output

diff --git a/doc/news/changes/minor/20210607MartinKronbichler b/doc/news/changes/minor/20210607MartinKronbichler
new file mode 100644
index 0000000000..0c4ff8fed9
--- /dev/null
+++ b/doc/news/changes/minor/20210607MartinKronbichler
@@ -0,0 +1,5 @@
+Fixed: MappingQCache::get_vertices() would previously always return the actual
+vertices, ignoring a possible displacement that is possible with this
+class. This is now fixed.
+<br>
+(Martin Kronbichler, 2021/06/07)
diff --git a/include/deal.II/fe/mapping_q_cache.h b/include/deal.II/fe/mapping_q_cache.h
index 0349d11166..2a29154d4c 100644
--- a/include/deal.II/fe/mapping_q_cache.h
+++ b/include/deal.II/fe/mapping_q_cache.h
@@ -203,6 +203,14 @@ public:
              const MGLevelObject<VectorType> &vectors,
              const bool vector_describes_relative_displacement);
 
+  /**
+   * @copydoc Mapping<dim,spacedim>::get_vertices()
+   */
+  virtual boost::container::small_vector<Point<spacedim>,
+                                         GeometryInfo<dim>::vertices_per_cell>
+  get_vertices(const typename Triangulation<dim, spacedim>::cell_iterator &cell)
+    const override;
+
   /**
    * Return the memory consumption (in bytes) of the cache.
    */
diff --git a/source/fe/mapping_q_cache.cc b/source/fe/mapping_q_cache.cc
index 4cfba57b6d..b28872e246 100644
--- a/source/fe/mapping_q_cache.cc
+++ b/source/fe/mapping_q_cache.cc
@@ -741,6 +741,28 @@ MappingQCache<dim, spacedim>::compute_mapping_support_points(
 
 
 
+template <int dim, int spacedim>
+boost::container::small_vector<Point<spacedim>,
+                               GeometryInfo<dim>::vertices_per_cell>
+MappingQCache<dim, spacedim>::get_vertices(
+  const typename Triangulation<dim, spacedim>::cell_iterator &cell) const
+{
+  Assert(support_point_cache.get() != nullptr,
+         ExcMessage("Must call MappingQCache::initialize() before "
+                    "using it or after mesh has changed!"));
+
+  Assert(uses_level_info || cell->is_active(), ExcInternalError());
+
+  AssertIndexRange(cell->level(), support_point_cache->size());
+  AssertIndexRange(cell->index(), (*support_point_cache)[cell->level()].size());
+  const auto ptr = (*support_point_cache)[cell->level()][cell->index()].begin();
+  return boost::container::small_vector<Point<spacedim>,
+                                        GeometryInfo<dim>::vertices_per_cell>(
+    ptr, ptr + cell->n_vertices());
+}
+
+
+
 //--------------------------- Explicit instantiations -----------------------
 #include "mapping_q_cache.inst"
 
diff --git a/tests/mappings/mapping_q_cache_08.cc b/tests/mappings/mapping_q_cache_08.cc
new file mode 100644
index 0000000000..43a564eade
--- /dev/null
+++ b/tests/mappings/mapping_q_cache_08.cc
@@ -0,0 +1,114 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2019 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+// Test MappingQCache::get_vertices()
+
+#include <deal.II/fe/fe_nothing.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_values.h>
+#include <deal.II/fe/mapping_q_cache.h>
+#include <deal.II/fe/mapping_q_generic.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/tria.h>
+
+#include "../tests.h"
+
+template <int dim>
+void
+do_test(const unsigned int degree)
+{
+  Triangulation<dim> tria;
+  if (dim > 1)
+    GridGenerator::hyper_ball(tria);
+  else
+    GridGenerator::hyper_cube(tria, -1, 1);
+
+  MappingQGeneric<dim> mapping(degree);
+  MappingQCache<dim>   mapping_cache(degree);
+  Point<dim>           shift;
+  for (unsigned int d = 0; d < dim; ++d)
+    shift[d] = -0.5 + 0.1 * d;
+
+  FE_Q<dim> fe_q(degree);
+
+  const auto position_lambda =
+    [&](const typename Triangulation<dim>::cell_iterator &cell)
+    -> std::vector<Point<dim>> {
+    FE_Nothing<dim> fe;
+    FEValues<dim>   fe_values(mapping,
+                            fe,
+                            Quadrature<dim>(fe_q.get_unit_support_points()),
+                            update_quadrature_points);
+
+    std::vector<Point<dim>> support_points_moved(fe_q.dofs_per_cell);
+    fe_values.reinit(cell);
+    for (unsigned int i = 0; i < fe_q.dofs_per_cell; ++i)
+      {
+        const Point<dim> point  = fe_values.quadrature_point(i);
+        Point<dim>       out    = point + shift;
+        support_points_moved[i] = out;
+      }
+    return support_points_moved;
+  };
+
+  mapping_cache.initialize(tria, position_lambda);
+
+  deallog << "Testing degree " << degree << " in " << dim << "D" << std::endl;
+  for (const auto &cell : tria.cell_iterators())
+    {
+      deallog << "vertices on cell " << cell->id() << std::endl;
+      for (const auto vertex : cell->vertex_indices())
+        deallog << cell->vertex(vertex) << std::endl;
+      const auto &mapping_vertices = mapping_cache.get_vertices(cell);
+      deallog << "vertices given mapping" << std::endl;
+      for (const auto &vertex : mapping_vertices)
+        deallog << vertex << std::endl;
+      deallog << std::endl;
+    }
+  deallog << std::endl;
+
+  tria.refine_global(1);
+  mapping_cache.initialize(tria, position_lambda);
+
+  deallog << "Testing degree " << degree << " in " << dim << "D" << std::endl;
+  for (const auto &cell : tria.active_cell_iterators())
+    {
+      deallog << "vertices on cell " << cell->id() << std::endl;
+      for (const auto vertex : cell->vertex_indices())
+        deallog << cell->vertex(vertex) << std::endl;
+      const auto &mapping_vertices = mapping_cache.get_vertices(cell);
+      deallog << "vertices given mapping" << std::endl;
+      for (const auto &vertex : mapping_vertices)
+        deallog << vertex << std::endl;
+      deallog << std::endl;
+    }
+  deallog << std::endl;
+}
+
+
+int
+main()
+{
+  initlog();
+  do_test<1>(1);
+  do_test<1>(3);
+  do_test<2>(1);
+  do_test<2>(3);
+  do_test<2>(4);
+  do_test<3>(1);
+  do_test<3>(2);
+  do_test<3>(3);
+}
diff --git a/tests/mappings/mapping_q_cache_08.output b/tests/mappings/mapping_q_cache_08.output
new file mode 100644
index 0000000000..20047acbc7
--- /dev/null
+++ b/tests/mappings/mapping_q_cache_08.output
@@ -0,0 +1,4491 @@
+
+DEAL::Testing degree 1 in 1D
+DEAL::vertices on cell 0_0:
+DEAL::-1.00000
+DEAL::1.00000
+DEAL::vertices given mapping
+DEAL::-1.50000
+DEAL::0.500000
+DEAL::
+DEAL::
+DEAL::Testing degree 1 in 1D
+DEAL::vertices on cell 0_1:0
+DEAL::-1.00000
+DEAL::0.00000
+DEAL::vertices given mapping
+DEAL::-1.50000
+DEAL::-0.500000
+DEAL::
+DEAL::vertices on cell 0_1:1
+DEAL::0.00000
+DEAL::1.00000
+DEAL::vertices given mapping
+DEAL::-0.500000
+DEAL::0.500000
+DEAL::
+DEAL::
+DEAL::Testing degree 3 in 1D
+DEAL::vertices on cell 0_0:
+DEAL::-1.00000
+DEAL::1.00000
+DEAL::vertices given mapping
+DEAL::-1.50000
+DEAL::0.500000
+DEAL::
+DEAL::
+DEAL::Testing degree 3 in 1D
+DEAL::vertices on cell 0_1:0
+DEAL::-1.00000
+DEAL::0.00000
+DEAL::vertices given mapping
+DEAL::-1.50000
+DEAL::-0.500000
+DEAL::
+DEAL::vertices on cell 0_1:1
+DEAL::0.00000
+DEAL::1.00000
+DEAL::vertices given mapping
+DEAL::-0.500000
+DEAL::0.500000
+DEAL::
+DEAL::
+DEAL::Testing degree 1 in 2D
+DEAL::vertices on cell 0_0:
+DEAL::-0.707107 -0.707107
+DEAL::0.707107 -0.707107
+DEAL::-0.292893 -0.292893
+DEAL::0.292893 -0.292893
+DEAL::vertices given mapping
+DEAL::-1.20711 -1.10711
+DEAL::0.207107 -1.10711
+DEAL::-0.792893 -0.692893
+DEAL::-0.207107 -0.692893
+DEAL::
+DEAL::vertices on cell 1_0:
+DEAL::-0.707107 -0.707107
+DEAL::-0.292893 -0.292893
+DEAL::-0.707107 0.707107
+DEAL::-0.292893 0.292893
+DEAL::vertices given mapping
+DEAL::-1.20711 -1.10711
+DEAL::-0.792893 -0.692893
+DEAL::-1.20711 0.307107
+DEAL::-0.792893 -0.107107
+DEAL::
+DEAL::vertices on cell 2_0:
+DEAL::-0.292893 -0.292893
+DEAL::0.292893 -0.292893
+DEAL::-0.292893 0.292893
+DEAL::0.292893 0.292893
+DEAL::vertices given mapping
+DEAL::-0.792893 -0.692893
+DEAL::-0.207107 -0.692893
+DEAL::-0.792893 -0.107107
+DEAL::-0.207107 -0.107107
+DEAL::
+DEAL::vertices on cell 3_0:
+DEAL::0.707107 -0.707107
+DEAL::0.707107 0.707107
+DEAL::0.292893 -0.292893
+DEAL::0.292893 0.292893
+DEAL::vertices given mapping
+DEAL::0.207107 -1.10711
+DEAL::0.207107 0.307107
+DEAL::-0.207107 -0.692893
+DEAL::-0.207107 -0.107107
+DEAL::
+DEAL::vertices on cell 4_0:
+DEAL::-0.707107 0.707107
+DEAL::-0.292893 0.292893
+DEAL::0.707107 0.707107
+DEAL::0.292893 0.292893
+DEAL::vertices given mapping
+DEAL::-1.20711 0.307107
+DEAL::-0.792893 -0.107107
+DEAL::0.207107 0.307107
+DEAL::-0.207107 -0.107107
+DEAL::
+DEAL::
+DEAL::Testing degree 1 in 2D
+DEAL::vertices on cell 0_1:0
+DEAL::-0.707107 -0.707107
+DEAL::-1.11022e-16 -1.00000
+DEAL::-0.500000 -0.500000
+DEAL::-5.55112e-17 -0.646447
+DEAL::vertices given mapping
+DEAL::-1.20711 -1.10711
+DEAL::-0.500000 -1.40000
+DEAL::-1.00000 -0.900000
+DEAL::-0.500000 -1.04645
+DEAL::
+DEAL::vertices on cell 0_1:1
+DEAL::-1.11022e-16 -1.00000
+DEAL::0.707107 -0.707107
+DEAL::-5.55112e-17 -0.646447
+DEAL::0.500000 -0.500000
+DEAL::vertices given mapping
+DEAL::-0.500000 -1.40000
+DEAL::0.207107 -1.10711
+DEAL::-0.500000 -1.04645
+DEAL::0.00000 -0.900000
+DEAL::
+DEAL::vertices on cell 0_1:2
+DEAL::-0.500000 -0.500000
+DEAL::-5.55112e-17 -0.646447
+DEAL::-0.292893 -0.292893
+DEAL::0.00000 -0.292893
+DEAL::vertices given mapping
+DEAL::-1.00000 -0.900000
+DEAL::-0.500000 -1.04645
+DEAL::-0.792893 -0.692893
+DEAL::-0.500000 -0.692893
+DEAL::
+DEAL::vertices on cell 0_1:3
+DEAL::-5.55112e-17 -0.646447
+DEAL::0.500000 -0.500000
+DEAL::0.00000 -0.292893
+DEAL::0.292893 -0.292893
+DEAL::vertices given mapping
+DEAL::-0.500000 -1.04645
+DEAL::0.00000 -0.900000
+DEAL::-0.500000 -0.692893
+DEAL::-0.207107 -0.692893
+DEAL::
+DEAL::vertices on cell 1_1:0
+DEAL::-0.707107 -0.707107
+DEAL::-0.500000 -0.500000
+DEAL::-1.00000 -1.11022e-16
+DEAL::-0.646447 -5.55112e-17
+DEAL::vertices given mapping
+DEAL::-1.20711 -1.10711
+DEAL::-1.00000 -0.900000
+DEAL::-1.50000 -0.400000
+DEAL::-1.14645 -0.400000
+DEAL::
+DEAL::vertices on cell 1_1:1
+DEAL::-0.500000 -0.500000
+DEAL::-0.292893 -0.292893
+DEAL::-0.646447 -5.55112e-17
+DEAL::-0.292893 0.00000
+DEAL::vertices given mapping
+DEAL::-1.00000 -0.900000
+DEAL::-0.792893 -0.692893
+DEAL::-1.14645 -0.400000
+DEAL::-0.792893 -0.400000
+DEAL::
+DEAL::vertices on cell 1_1:2
+DEAL::-1.00000 -1.11022e-16
+DEAL::-0.646447 -5.55112e-17
+DEAL::-0.707107 0.707107
+DEAL::-0.500000 0.500000
+DEAL::vertices given mapping
+DEAL::-1.50000 -0.400000
+DEAL::-1.14645 -0.400000
+DEAL::-1.20711 0.307107
+DEAL::-1.00000 0.100000
+DEAL::
+DEAL::vertices on cell 1_1:3
+DEAL::-0.646447 -5.55112e-17
+DEAL::-0.292893 0.00000
+DEAL::-0.500000 0.500000
+DEAL::-0.292893 0.292893
+DEAL::vertices given mapping
+DEAL::-1.14645 -0.400000
+DEAL::-0.792893 -0.400000
+DEAL::-1.00000 0.100000
+DEAL::-0.792893 -0.107107
+DEAL::
+DEAL::vertices on cell 2_1:0
+DEAL::-0.292893 -0.292893
+DEAL::0.00000 -0.292893
+DEAL::-0.292893 0.00000
+DEAL::0.00000 0.00000
+DEAL::vertices given mapping
+DEAL::-0.792893 -0.692893
+DEAL::-0.500000 -0.692893
+DEAL::-0.792893 -0.400000
+DEAL::-0.500000 -0.400000
+DEAL::
+DEAL::vertices on cell 2_1:1
+DEAL::0.00000 -0.292893
+DEAL::0.292893 -0.292893
+DEAL::0.00000 0.00000
+DEAL::0.292893 0.00000
+DEAL::vertices given mapping
+DEAL::-0.500000 -0.692893
+DEAL::-0.207107 -0.692893
+DEAL::-0.500000 -0.400000
+DEAL::-0.207107 -0.400000
+DEAL::
+DEAL::vertices on cell 2_1:2
+DEAL::-0.292893 0.00000
+DEAL::0.00000 0.00000
+DEAL::-0.292893 0.292893
+DEAL::0.00000 0.292893
+DEAL::vertices given mapping
+DEAL::-0.792893 -0.400000
+DEAL::-0.500000 -0.400000
+DEAL::-0.792893 -0.107107
+DEAL::-0.500000 -0.107107
+DEAL::
+DEAL::vertices on cell 2_1:3
+DEAL::0.00000 0.00000
+DEAL::0.292893 0.00000
+DEAL::0.00000 0.292893
+DEAL::0.292893 0.292893
+DEAL::vertices given mapping
+DEAL::-0.500000 -0.400000
+DEAL::-0.207107 -0.400000
+DEAL::-0.500000 -0.107107
+DEAL::-0.207107 -0.107107
+DEAL::
+DEAL::vertices on cell 3_1:0
+DEAL::0.707107 -0.707107
+DEAL::1.00000 -1.11022e-16
+DEAL::0.500000 -0.500000
+DEAL::0.646447 -5.55112e-17
+DEAL::vertices given mapping
+DEAL::0.207107 -1.10711
+DEAL::0.500000 -0.400000
+DEAL::0.00000 -0.900000
+DEAL::0.146447 -0.400000
+DEAL::
+DEAL::vertices on cell 3_1:1
+DEAL::1.00000 -1.11022e-16
+DEAL::0.707107 0.707107
+DEAL::0.646447 -5.55112e-17
+DEAL::0.500000 0.500000
+DEAL::vertices given mapping
+DEAL::0.500000 -0.400000
+DEAL::0.207107 0.307107
+DEAL::0.146447 -0.400000
+DEAL::0.00000 0.100000
+DEAL::
+DEAL::vertices on cell 3_1:2
+DEAL::0.500000 -0.500000
+DEAL::0.646447 -5.55112e-17
+DEAL::0.292893 -0.292893
+DEAL::0.292893 0.00000
+DEAL::vertices given mapping
+DEAL::0.00000 -0.900000
+DEAL::0.146447 -0.400000
+DEAL::-0.207107 -0.692893
+DEAL::-0.207107 -0.400000
+DEAL::
+DEAL::vertices on cell 3_1:3
+DEAL::0.646447 -5.55112e-17
+DEAL::0.500000 0.500000
+DEAL::0.292893 0.00000
+DEAL::0.292893 0.292893
+DEAL::vertices given mapping
+DEAL::0.146447 -0.400000
+DEAL::0.00000 0.100000
+DEAL::-0.207107 -0.400000
+DEAL::-0.207107 -0.107107
+DEAL::
+DEAL::vertices on cell 4_1:0
+DEAL::-0.707107 0.707107
+DEAL::-0.500000 0.500000
+DEAL::-1.11022e-16 1.00000
+DEAL::-5.55112e-17 0.646447
+DEAL::vertices given mapping
+DEAL::-1.20711 0.307107
+DEAL::-1.00000 0.100000
+DEAL::-0.500000 0.600000
+DEAL::-0.500000 0.246447
+DEAL::
+DEAL::vertices on cell 4_1:1
+DEAL::-0.500000 0.500000
+DEAL::-0.292893 0.292893
+DEAL::-5.55112e-17 0.646447
+DEAL::0.00000 0.292893
+DEAL::vertices given mapping
+DEAL::-1.00000 0.100000
+DEAL::-0.792893 -0.107107
+DEAL::-0.500000 0.246447
+DEAL::-0.500000 -0.107107
+DEAL::
+DEAL::vertices on cell 4_1:2
+DEAL::-1.11022e-16 1.00000
+DEAL::-5.55112e-17 0.646447
+DEAL::0.707107 0.707107
+DEAL::0.500000 0.500000
+DEAL::vertices given mapping
+DEAL::-0.500000 0.600000
+DEAL::-0.500000 0.246447
+DEAL::0.207107 0.307107
+DEAL::0.00000 0.100000
+DEAL::
+DEAL::vertices on cell 4_1:3
+DEAL::-5.55112e-17 0.646447
+DEAL::0.00000 0.292893
+DEAL::0.500000 0.500000
+DEAL::0.292893 0.292893
+DEAL::vertices given mapping
+DEAL::-0.500000 0.246447
+DEAL::-0.500000 -0.107107
+DEAL::0.00000 0.100000
+DEAL::-0.207107 -0.107107
+DEAL::
+DEAL::
+DEAL::Testing degree 3 in 2D
+DEAL::vertices on cell 0_0:
+DEAL::-0.707107 -0.707107
+DEAL::0.707107 -0.707107
+DEAL::-0.292893 -0.292893
+DEAL::0.292893 -0.292893
+DEAL::vertices given mapping
+DEAL::-1.20711 -1.10711
+DEAL::0.207107 -1.10711
+DEAL::-0.792893 -0.692893
+DEAL::-0.207107 -0.692893
+DEAL::
+DEAL::vertices on cell 1_0:
+DEAL::-0.707107 -0.707107
+DEAL::-0.292893 -0.292893
+DEAL::-0.707107 0.707107
+DEAL::-0.292893 0.292893
+DEAL::vertices given mapping
+DEAL::-1.20711 -1.10711
+DEAL::-0.792893 -0.692893
+DEAL::-1.20711 0.307107
+DEAL::-0.792893 -0.107107
+DEAL::
+DEAL::vertices on cell 2_0:
+DEAL::-0.292893 -0.292893
+DEAL::0.292893 -0.292893
+DEAL::-0.292893 0.292893
+DEAL::0.292893 0.292893
+DEAL::vertices given mapping
+DEAL::-0.792893 -0.692893
+DEAL::-0.207107 -0.692893
+DEAL::-0.792893 -0.107107
+DEAL::-0.207107 -0.107107
+DEAL::
+DEAL::vertices on cell 3_0:
+DEAL::0.707107 -0.707107
+DEAL::0.707107 0.707107
+DEAL::0.292893 -0.292893
+DEAL::0.292893 0.292893
+DEAL::vertices given mapping
+DEAL::0.207107 -1.10711
+DEAL::0.207107 0.307107
+DEAL::-0.207107 -0.692893
+DEAL::-0.207107 -0.107107
+DEAL::
+DEAL::vertices on cell 4_0:
+DEAL::-0.707107 0.707107
+DEAL::-0.292893 0.292893
+DEAL::0.707107 0.707107
+DEAL::0.292893 0.292893
+DEAL::vertices given mapping
+DEAL::-1.20711 0.307107
+DEAL::-0.792893 -0.107107
+DEAL::0.207107 0.307107
+DEAL::-0.207107 -0.107107
+DEAL::
+DEAL::
+DEAL::Testing degree 3 in 2D
+DEAL::vertices on cell 0_1:0
+DEAL::-0.707107 -0.707107
+DEAL::-1.11022e-16 -1.00000
+DEAL::-0.500000 -0.500000
+DEAL::-5.55112e-17 -0.646447
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+DEAL::-5.55112e-17 0.100000
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+DEAL::
+DEAL::Testing degree 4 in 2D
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+DEAL::0.207107 0.307107
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+DEAL::
+DEAL::Testing degree 4 in 2D
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+DEAL::-0.707107 -0.707107
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+DEAL::vertices given mapping
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+DEAL::-0.707107 0.707107
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+DEAL::vertices given mapping
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+DEAL::0.00000 0.100000
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+DEAL::
+DEAL::Testing degree 1 in 3D
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+DEAL::0.211325 -0.211325 -0.211325
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+DEAL::0.211325 0.211325 -0.211325
+DEAL::-0.211325 -0.211325 0.211325
+DEAL::0.211325 -0.211325 0.211325
+DEAL::-0.211325 0.211325 0.211325
+DEAL::0.211325 0.211325 0.211325
+DEAL::vertices given mapping
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+DEAL::-0.288675 -0.611325 -0.511325
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+DEAL::-0.288675 -0.188675 -0.511325
+DEAL::-0.711325 -0.611325 -0.0886751
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+DEAL::-0.577350 0.577350 -0.577350
+DEAL::0.577350 0.577350 -0.577350
+DEAL::-0.211325 -0.211325 -0.211325
+DEAL::0.211325 -0.211325 -0.211325
+DEAL::-0.211325 0.211325 -0.211325
+DEAL::0.211325 0.211325 -0.211325
+DEAL::vertices given mapping
+DEAL::-1.07735 -0.977350 -0.877350
+DEAL::0.0773503 -0.977350 -0.877350
+DEAL::-1.07735 0.177350 -0.877350
+DEAL::0.0773503 0.177350 -0.877350
+DEAL::-0.711325 -0.611325 -0.511325
+DEAL::-0.288675 -0.611325 -0.511325
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+DEAL::vertices on cell 2_0:
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+DEAL::0.211325 -0.211325 -0.211325
+DEAL::0.211325 0.211325 -0.211325
+DEAL::0.577350 -0.577350 0.577350
+DEAL::0.577350 0.577350 0.577350
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+DEAL::vertices given mapping
+DEAL::0.0773503 -0.977350 -0.877350
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+DEAL::
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+DEAL::0.211325 0.211325 0.211325
+DEAL::vertices given mapping
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+DEAL::-0.711325 -0.611325 -0.0886751
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+DEAL::-0.711325 -0.188675 -0.0886751
+DEAL::-0.288675 -0.188675 -0.0886751
+DEAL::
+DEAL::vertices on cell 4_0:
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+DEAL::-0.577350 0.577350 -0.577350
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+DEAL::-0.577350 0.577350 0.577350
+DEAL::-0.211325 0.211325 0.211325
+DEAL::vertices given mapping
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+DEAL::-1.07735 0.177350 0.277350
+DEAL::-0.711325 -0.188675 -0.0886751
+DEAL::
+DEAL::vertices on cell 5_0:
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+DEAL::0.211325 -0.211325 -0.211325
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+DEAL::0.211325 -0.211325 0.211325
+DEAL::vertices given mapping
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+DEAL::-0.711325 -0.611325 -0.0886751
+DEAL::-0.288675 -0.611325 -0.0886751
+DEAL::
+DEAL::vertices on cell 6_0:
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+DEAL::vertices given mapping
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+DEAL::0.0773503 0.177350 -0.877350
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+DEAL::0.0773503 0.177350 0.277350
+DEAL::-0.288675 -0.188675 -0.0886751
+DEAL::
+DEAL::
+DEAL::Testing degree 1 in 3D
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+DEAL::vertices given mapping
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+DEAL::
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+DEAL::
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+DEAL::
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+DEAL::2.77556e-17 -0.605662 -5.55112e-17
+DEAL::vertices given mapping
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+DEAL::-1.20711 -1.10711 -0.300000
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+DEAL::-0.500000 -1.00566 -0.300000
+DEAL::
+DEAL::vertices on cell 5_1:1
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+DEAL::0.394338 -0.394338 -0.394338
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+DEAL::2.77556e-17 -0.605662 -5.55112e-17
+DEAL::0.459216 -0.459216 0.00000
+DEAL::vertices given mapping
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+DEAL::-0.500000 -0.859216 -0.759216
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+DEAL::-0.500000 -1.40000 -0.300000
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+DEAL::-0.0407842 -0.859216 -0.300000
+DEAL::
+DEAL::vertices on cell 5_1:2
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+DEAL::-0.211325 -0.211325 -0.211325
+DEAL::0.00000 -0.211325 -0.211325
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+DEAL::2.77556e-17 -0.605662 -5.55112e-17
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+DEAL::0.00000 -0.211325 0.00000
+DEAL::vertices given mapping
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+DEAL::-0.711325 -0.611325 -0.511325
+DEAL::-0.500000 -0.611325 -0.511325
+DEAL::-0.959216 -0.859216 -0.300000
+DEAL::-0.500000 -1.00566 -0.300000
+DEAL::-0.711325 -0.611325 -0.300000
+DEAL::-0.500000 -0.611325 -0.300000
+DEAL::
+DEAL::vertices on cell 5_1:3
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+DEAL::0.00000 -0.211325 -0.211325
+DEAL::0.211325 -0.211325 -0.211325
+DEAL::2.77556e-17 -0.605662 -5.55112e-17
+DEAL::0.459216 -0.459216 0.00000
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+DEAL::0.211325 -0.211325 0.00000
+DEAL::vertices given mapping
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+DEAL::-0.500000 -0.611325 -0.511325
+DEAL::-0.288675 -0.611325 -0.511325
+DEAL::-0.500000 -1.00566 -0.300000
+DEAL::-0.0407842 -0.859216 -0.300000
+DEAL::-0.500000 -0.611325 -0.300000
+DEAL::-0.288675 -0.611325 -0.300000
+DEAL::
+DEAL::vertices on cell 5_1:4
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+DEAL::-0.459216 -0.459216 0.00000
+DEAL::2.77556e-17 -0.605662 -5.55112e-17
+DEAL::-0.577350 -0.577350 0.577350
+DEAL::0.00000 -0.707107 0.707107
+DEAL::-0.394338 -0.394338 0.394338
+DEAL::0.00000 -0.459216 0.459216
+DEAL::vertices given mapping
+DEAL::-1.20711 -1.10711 -0.300000
+DEAL::-0.500000 -1.40000 -0.300000
+DEAL::-0.959216 -0.859216 -0.300000
+DEAL::-0.500000 -1.00566 -0.300000
+DEAL::-1.07735 -0.977350 0.277350
+DEAL::-0.500000 -1.10711 0.407107
+DEAL::-0.894338 -0.794338 0.0943376
+DEAL::-0.500000 -0.859216 0.159216
+DEAL::
+DEAL::vertices on cell 5_1:5
+DEAL::0.00000 -1.00000 0.00000
+DEAL::0.707107 -0.707107 0.00000
+DEAL::2.77556e-17 -0.605662 -5.55112e-17
+DEAL::0.459216 -0.459216 0.00000
+DEAL::0.00000 -0.707107 0.707107
+DEAL::0.577350 -0.577350 0.577350
+DEAL::0.00000 -0.459216 0.459216
+DEAL::0.394338 -0.394338 0.394338
+DEAL::vertices given mapping
+DEAL::-0.500000 -1.40000 -0.300000
+DEAL::0.207107 -1.10711 -0.300000
+DEAL::-0.500000 -1.00566 -0.300000
+DEAL::-0.0407842 -0.859216 -0.300000
+DEAL::-0.500000 -1.10711 0.407107
+DEAL::0.0773503 -0.977350 0.277350
+DEAL::-0.500000 -0.859216 0.159216
+DEAL::-0.105662 -0.794338 0.0943376
+DEAL::
+DEAL::vertices on cell 5_1:6
+DEAL::-0.459216 -0.459216 0.00000
+DEAL::2.77556e-17 -0.605662 -5.55112e-17
+DEAL::-0.211325 -0.211325 0.00000
+DEAL::0.00000 -0.211325 0.00000
+DEAL::-0.394338 -0.394338 0.394338
+DEAL::0.00000 -0.459216 0.459216
+DEAL::-0.211325 -0.211325 0.211325
+DEAL::0.00000 -0.211325 0.211325
+DEAL::vertices given mapping
+DEAL::-0.959216 -0.859216 -0.300000
+DEAL::-0.500000 -1.00566 -0.300000
+DEAL::-0.711325 -0.611325 -0.300000
+DEAL::-0.500000 -0.611325 -0.300000
+DEAL::-0.894338 -0.794338 0.0943376
+DEAL::-0.500000 -0.859216 0.159216
+DEAL::-0.711325 -0.611325 -0.0886751
+DEAL::-0.500000 -0.611325 -0.0886751
+DEAL::
+DEAL::vertices on cell 5_1:7
+DEAL::2.77556e-17 -0.605662 -5.55112e-17
+DEAL::0.459216 -0.459216 0.00000
+DEAL::0.00000 -0.211325 0.00000
+DEAL::0.211325 -0.211325 0.00000
+DEAL::0.00000 -0.459216 0.459216
+DEAL::0.394338 -0.394338 0.394338
+DEAL::0.00000 -0.211325 0.211325
+DEAL::0.211325 -0.211325 0.211325
+DEAL::vertices given mapping
+DEAL::-0.500000 -1.00566 -0.300000
+DEAL::-0.0407842 -0.859216 -0.300000
+DEAL::-0.500000 -0.611325 -0.300000
+DEAL::-0.288675 -0.611325 -0.300000
+DEAL::-0.500000 -0.859216 0.159216
+DEAL::-0.105662 -0.794338 0.0943376
+DEAL::-0.500000 -0.611325 -0.0886751
+DEAL::-0.288675 -0.611325 -0.0886751
+DEAL::
+DEAL::vertices on cell 6_1:0
+DEAL::-0.577350 0.577350 -0.577350
+DEAL::-0.394338 0.394338 -0.394338
+DEAL::0.00000 0.707107 -0.707107
+DEAL::0.00000 0.459216 -0.459216
+DEAL::-0.707107 0.707107 0.00000
+DEAL::-0.459216 0.459216 0.00000
+DEAL::0.00000 1.00000 0.00000
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::vertices given mapping
+DEAL::-1.07735 0.177350 -0.877350
+DEAL::-0.894338 -0.00566243 -0.694338
+DEAL::-0.500000 0.307107 -1.00711
+DEAL::-0.500000 0.0592158 -0.759216
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+DEAL::-0.500000 0.600000 -0.300000
+DEAL::-0.500000 0.205662 -0.300000
+DEAL::
+DEAL::vertices on cell 6_1:1
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+DEAL::-0.211325 0.211325 -0.211325
+DEAL::0.00000 0.459216 -0.459216
+DEAL::0.00000 0.211325 -0.211325
+DEAL::-0.459216 0.459216 0.00000
+DEAL::-0.211325 0.211325 0.00000
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::0.00000 0.211325 0.00000
+DEAL::vertices given mapping
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+DEAL::-0.711325 -0.188675 -0.511325
+DEAL::-0.500000 0.0592158 -0.759216
+DEAL::-0.500000 -0.188675 -0.511325
+DEAL::-0.959216 0.0592158 -0.300000
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+DEAL::-0.500000 -0.188675 -0.300000
+DEAL::
+DEAL::vertices on cell 6_1:2
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+DEAL::0.577350 0.577350 -0.577350
+DEAL::0.394338 0.394338 -0.394338
+DEAL::0.00000 1.00000 0.00000
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::0.707107 0.707107 0.00000
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+DEAL::vertices given mapping
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+DEAL::0.0773503 0.177350 -0.877350
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+DEAL::0.207107 0.307107 -0.300000
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+DEAL::
+DEAL::vertices on cell 6_1:3
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+DEAL::0.211325 0.211325 -0.211325
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::0.00000 0.211325 0.00000
+DEAL::0.459216 0.459216 0.00000
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+DEAL::vertices given mapping
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+DEAL::-0.105662 -0.00566243 -0.694338
+DEAL::-0.288675 -0.188675 -0.511325
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+DEAL::
+DEAL::vertices on cell 6_1:4
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+DEAL::0.00000 1.00000 0.00000
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::-0.577350 0.577350 0.577350
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+DEAL::vertices given mapping
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+DEAL::-1.07735 0.177350 0.277350
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+DEAL::
+DEAL::vertices on cell 6_1:5
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+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::0.00000 0.211325 0.00000
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+DEAL::-0.211325 0.211325 0.211325
+DEAL::0.00000 0.459216 0.459216
+DEAL::0.00000 0.211325 0.211325
+DEAL::vertices given mapping
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+DEAL::-0.711325 -0.188675 -0.300000
+DEAL::-0.500000 0.205662 -0.300000
+DEAL::-0.500000 -0.188675 -0.300000
+DEAL::-0.894338 -0.00566243 0.0943376
+DEAL::-0.711325 -0.188675 -0.0886751
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+DEAL::-0.500000 -0.188675 -0.0886751
+DEAL::
+DEAL::vertices on cell 6_1:6
+DEAL::0.00000 1.00000 0.00000
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+DEAL::0.459216 0.459216 0.00000
+DEAL::0.00000 0.707107 0.707107
+DEAL::0.00000 0.459216 0.459216
+DEAL::0.577350 0.577350 0.577350
+DEAL::0.394338 0.394338 0.394338
+DEAL::vertices given mapping
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+DEAL::0.207107 0.307107 -0.300000
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+DEAL::-0.500000 0.307107 0.407107
+DEAL::-0.500000 0.0592158 0.159216
+DEAL::0.0773503 0.177350 0.277350
+DEAL::-0.105662 -0.00566243 0.0943376
+DEAL::
+DEAL::vertices on cell 6_1:7
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+DEAL::0.459216 0.459216 0.00000
+DEAL::0.211325 0.211325 0.00000
+DEAL::0.00000 0.459216 0.459216
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+DEAL::0.211325 0.211325 0.211325
+DEAL::vertices given mapping
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+DEAL::-0.500000 -0.188675 -0.300000
+DEAL::-0.0407842 0.0592158 -0.300000
+DEAL::-0.288675 -0.188675 -0.300000
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+DEAL::-0.500000 -0.188675 -0.0886751
+DEAL::-0.105662 -0.00566243 0.0943376
+DEAL::-0.288675 -0.188675 -0.0886751
+DEAL::
+DEAL::
+DEAL::Testing degree 2 in 3D
+DEAL::vertices on cell 0_0:
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+DEAL::0.211325 -0.211325 -0.211325
+DEAL::-0.211325 0.211325 -0.211325
+DEAL::0.211325 0.211325 -0.211325
+DEAL::-0.211325 -0.211325 0.211325
+DEAL::0.211325 -0.211325 0.211325
+DEAL::-0.211325 0.211325 0.211325
+DEAL::0.211325 0.211325 0.211325
+DEAL::vertices given mapping
+DEAL::-0.711325 -0.611325 -0.511325
+DEAL::-0.288675 -0.611325 -0.511325
+DEAL::-0.711325 -0.188675 -0.511325
+DEAL::-0.288675 -0.188675 -0.511325
+DEAL::-0.711325 -0.611325 -0.0886751
+DEAL::-0.288675 -0.611325 -0.0886751
+DEAL::-0.711325 -0.188675 -0.0886751
+DEAL::-0.288675 -0.188675 -0.0886751
+DEAL::
+DEAL::vertices on cell 1_0:
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+DEAL::0.577350 -0.577350 -0.577350
+DEAL::-0.577350 0.577350 -0.577350
+DEAL::0.577350 0.577350 -0.577350
+DEAL::-0.211325 -0.211325 -0.211325
+DEAL::0.211325 -0.211325 -0.211325
+DEAL::-0.211325 0.211325 -0.211325
+DEAL::0.211325 0.211325 -0.211325
+DEAL::vertices given mapping
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+DEAL::0.0773503 -0.977350 -0.877350
+DEAL::-1.07735 0.177350 -0.877350
+DEAL::0.0773503 0.177350 -0.877350
+DEAL::-0.711325 -0.611325 -0.511325
+DEAL::-0.288675 -0.611325 -0.511325
+DEAL::-0.711325 -0.188675 -0.511325
+DEAL::-0.288675 -0.188675 -0.511325
+DEAL::
+DEAL::vertices on cell 2_0:
+DEAL::0.577350 -0.577350 -0.577350
+DEAL::0.577350 0.577350 -0.577350
+DEAL::0.211325 -0.211325 -0.211325
+DEAL::0.211325 0.211325 -0.211325
+DEAL::0.577350 -0.577350 0.577350
+DEAL::0.577350 0.577350 0.577350
+DEAL::0.211325 -0.211325 0.211325
+DEAL::0.211325 0.211325 0.211325
+DEAL::vertices given mapping
+DEAL::0.0773503 -0.977350 -0.877350
+DEAL::0.0773503 0.177350 -0.877350
+DEAL::-0.288675 -0.611325 -0.511325
+DEAL::-0.288675 -0.188675 -0.511325
+DEAL::0.0773503 -0.977350 0.277350
+DEAL::0.0773503 0.177350 0.277350
+DEAL::-0.288675 -0.611325 -0.0886751
+DEAL::-0.288675 -0.188675 -0.0886751
+DEAL::
+DEAL::vertices on cell 3_0:
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+DEAL::0.577350 -0.577350 0.577350
+DEAL::-0.211325 -0.211325 0.211325
+DEAL::0.211325 -0.211325 0.211325
+DEAL::-0.577350 0.577350 0.577350
+DEAL::0.577350 0.577350 0.577350
+DEAL::-0.211325 0.211325 0.211325
+DEAL::0.211325 0.211325 0.211325
+DEAL::vertices given mapping
+DEAL::-1.07735 -0.977350 0.277350
+DEAL::0.0773503 -0.977350 0.277350
+DEAL::-0.711325 -0.611325 -0.0886751
+DEAL::-0.288675 -0.611325 -0.0886751
+DEAL::-1.07735 0.177350 0.277350
+DEAL::0.0773503 0.177350 0.277350
+DEAL::-0.711325 -0.188675 -0.0886751
+DEAL::-0.288675 -0.188675 -0.0886751
+DEAL::
+DEAL::vertices on cell 4_0:
+DEAL::-0.577350 -0.577350 -0.577350
+DEAL::-0.211325 -0.211325 -0.211325
+DEAL::-0.577350 0.577350 -0.577350
+DEAL::-0.211325 0.211325 -0.211325
+DEAL::-0.577350 -0.577350 0.577350
+DEAL::-0.211325 -0.211325 0.211325
+DEAL::-0.577350 0.577350 0.577350
+DEAL::-0.211325 0.211325 0.211325
+DEAL::vertices given mapping
+DEAL::-1.07735 -0.977350 -0.877350
+DEAL::-0.711325 -0.611325 -0.511325
+DEAL::-1.07735 0.177350 -0.877350
+DEAL::-0.711325 -0.188675 -0.511325
+DEAL::-1.07735 -0.977350 0.277350
+DEAL::-0.711325 -0.611325 -0.0886751
+DEAL::-1.07735 0.177350 0.277350
+DEAL::-0.711325 -0.188675 -0.0886751
+DEAL::
+DEAL::vertices on cell 5_0:
+DEAL::-0.577350 -0.577350 -0.577350
+DEAL::0.577350 -0.577350 -0.577350
+DEAL::-0.211325 -0.211325 -0.211325
+DEAL::0.211325 -0.211325 -0.211325
+DEAL::-0.577350 -0.577350 0.577350
+DEAL::0.577350 -0.577350 0.577350
+DEAL::-0.211325 -0.211325 0.211325
+DEAL::0.211325 -0.211325 0.211325
+DEAL::vertices given mapping
+DEAL::-1.07735 -0.977350 -0.877350
+DEAL::0.0773503 -0.977350 -0.877350
+DEAL::-0.711325 -0.611325 -0.511325
+DEAL::-0.288675 -0.611325 -0.511325
+DEAL::-1.07735 -0.977350 0.277350
+DEAL::0.0773503 -0.977350 0.277350
+DEAL::-0.711325 -0.611325 -0.0886751
+DEAL::-0.288675 -0.611325 -0.0886751
+DEAL::
+DEAL::vertices on cell 6_0:
+DEAL::-0.577350 0.577350 -0.577350
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+DEAL::vertices given mapping
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+DEAL::-0.500000 -1.00566 -0.300000
+DEAL::-1.07735 -0.977350 0.277350
+DEAL::-0.500000 -1.10711 0.407107
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+DEAL::
+DEAL::vertices on cell 5_1:5
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+DEAL::2.77556e-17 -0.605662 -5.55112e-17
+DEAL::0.459216 -0.459216 0.00000
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+DEAL::vertices given mapping
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+DEAL::-0.500000 -1.00566 -0.300000
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+DEAL::-0.500000 -1.10711 0.407107
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+DEAL::
+DEAL::vertices on cell 5_1:6
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+DEAL::-0.211325 -0.211325 0.00000
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+DEAL::vertices given mapping
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+DEAL::-0.711325 -0.611325 -0.0886751
+DEAL::-0.500000 -0.611325 -0.0886751
+DEAL::
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+DEAL::vertices given mapping
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+DEAL::
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+DEAL::0.00000 0.707107 -0.707107
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+DEAL::-0.707107 0.707107 0.00000
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+DEAL::0.00000 1.00000 0.00000
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::vertices given mapping
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+DEAL::
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+DEAL::
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+DEAL::0.211325 0.211325 -0.211325
+DEAL::2.77556e-17 0.605662 5.55112e-17
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+DEAL::vertices given mapping
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+DEAL::
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+DEAL::vertices given mapping
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+DEAL::vertices given mapping
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+DEAL::
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+DEAL::vertices given mapping
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+DEAL::0.0773503 0.177350 0.277350
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+DEAL::
+DEAL::vertices on cell 6_1:7
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+DEAL::0.00000 0.459216 0.459216
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+DEAL::vertices given mapping
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+DEAL::-0.288675 -0.188675 -0.0886751
+DEAL::
+DEAL::
+DEAL::Testing degree 3 in 3D
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+DEAL::0.211325 -0.211325 -0.211325
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+DEAL::0.211325 0.211325 0.211325
+DEAL::vertices given mapping
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+DEAL::-0.711325 -0.188675 -0.511325
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+DEAL::-0.711325 -0.188675 -0.0886751
+DEAL::-0.288675 -0.188675 -0.0886751
+DEAL::
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+DEAL::0.211325 0.211325 -0.211325
+DEAL::vertices given mapping
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+DEAL::0.0773503 -0.977350 -0.877350
+DEAL::-1.07735 0.177350 -0.877350
+DEAL::0.0773503 0.177350 -0.877350
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+DEAL::-0.711325 -0.188675 -0.511325
+DEAL::-0.288675 -0.188675 -0.511325
+DEAL::
+DEAL::vertices on cell 2_0:
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+DEAL::0.211325 0.211325 -0.211325
+DEAL::0.577350 -0.577350 0.577350
+DEAL::0.577350 0.577350 0.577350
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+DEAL::0.211325 0.211325 0.211325
+DEAL::vertices given mapping
+DEAL::0.0773503 -0.977350 -0.877350
+DEAL::0.0773503 0.177350 -0.877350
+DEAL::-0.288675 -0.611325 -0.511325
+DEAL::-0.288675 -0.188675 -0.511325
+DEAL::0.0773503 -0.977350 0.277350
+DEAL::0.0773503 0.177350 0.277350
+DEAL::-0.288675 -0.611325 -0.0886751
+DEAL::-0.288675 -0.188675 -0.0886751
+DEAL::
+DEAL::vertices on cell 3_0:
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+DEAL::-0.211325 -0.211325 0.211325
+DEAL::0.211325 -0.211325 0.211325
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+DEAL::-0.211325 0.211325 0.211325
+DEAL::0.211325 0.211325 0.211325
+DEAL::vertices given mapping
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+DEAL::0.0773503 -0.977350 0.277350
+DEAL::-0.711325 -0.611325 -0.0886751
+DEAL::-0.288675 -0.611325 -0.0886751
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+DEAL::0.0773503 0.177350 0.277350
+DEAL::-0.711325 -0.188675 -0.0886751
+DEAL::-0.288675 -0.188675 -0.0886751
+DEAL::
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+DEAL::-0.577350 -0.577350 0.577350
+DEAL::-0.211325 -0.211325 0.211325
+DEAL::-0.577350 0.577350 0.577350
+DEAL::-0.211325 0.211325 0.211325
+DEAL::vertices given mapping
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+DEAL::-0.711325 -0.611325 -0.511325
+DEAL::-1.07735 0.177350 -0.877350
+DEAL::-0.711325 -0.188675 -0.511325
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+DEAL::-0.711325 -0.611325 -0.0886751
+DEAL::-1.07735 0.177350 0.277350
+DEAL::-0.711325 -0.188675 -0.0886751
+DEAL::
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+DEAL::0.211325 -0.211325 -0.211325
+DEAL::-0.577350 -0.577350 0.577350
+DEAL::0.577350 -0.577350 0.577350
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+DEAL::0.211325 -0.211325 0.211325
+DEAL::vertices given mapping
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+DEAL::0.0773503 -0.977350 -0.877350
+DEAL::-0.711325 -0.611325 -0.511325
+DEAL::-0.288675 -0.611325 -0.511325
+DEAL::-1.07735 -0.977350 0.277350
+DEAL::0.0773503 -0.977350 0.277350
+DEAL::-0.711325 -0.611325 -0.0886751
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+DEAL::
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+DEAL::0.577350 0.577350 -0.577350
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+DEAL::-0.577350 0.577350 0.577350
+DEAL::-0.211325 0.211325 0.211325
+DEAL::0.577350 0.577350 0.577350
+DEAL::0.211325 0.211325 0.211325
+DEAL::vertices given mapping
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+DEAL::-0.711325 -0.188675 -0.511325
+DEAL::0.0773503 0.177350 -0.877350
+DEAL::-0.288675 -0.188675 -0.511325
+DEAL::-1.07735 0.177350 0.277350
+DEAL::-0.711325 -0.188675 -0.0886751
+DEAL::0.0773503 0.177350 0.277350
+DEAL::-0.288675 -0.188675 -0.0886751
+DEAL::
+DEAL::
+DEAL::Testing degree 3 in 3D
+DEAL::vertices on cell 0_1:0
+DEAL::-0.211325 -0.211325 -0.211325
+DEAL::0.00000 -0.211325 -0.211325
+DEAL::-0.211325 0.00000 -0.211325
+DEAL::0.00000 0.00000 -0.211325
+DEAL::-0.211325 -0.211325 0.00000
+DEAL::0.00000 -0.211325 0.00000
+DEAL::-0.211325 0.00000 0.00000
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+DEAL::vertices given mapping
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+DEAL::-0.500000 -0.611325 -0.511325
+DEAL::-0.711325 -0.400000 -0.511325
+DEAL::-0.500000 -0.400000 -0.511325
+DEAL::-0.711325 -0.611325 -0.300000
+DEAL::-0.500000 -0.611325 -0.300000
+DEAL::-0.711325 -0.400000 -0.300000
+DEAL::-0.500000 -0.400000 -0.300000
+DEAL::
+DEAL::vertices on cell 0_1:1
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+DEAL::0.211325 -0.211325 -0.211325
+DEAL::0.00000 0.00000 -0.211325
+DEAL::0.211325 0.00000 -0.211325
+DEAL::0.00000 -0.211325 0.00000
+DEAL::0.211325 -0.211325 0.00000
+DEAL::0.00000 0.00000 -1.38778e-17
+DEAL::0.211325 0.00000 0.00000
+DEAL::vertices given mapping
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+DEAL::-0.288675 -0.611325 -0.511325
+DEAL::-0.500000 -0.400000 -0.511325
+DEAL::-0.288675 -0.400000 -0.511325
+DEAL::-0.500000 -0.611325 -0.300000
+DEAL::-0.288675 -0.611325 -0.300000
+DEAL::-0.500000 -0.400000 -0.300000
+DEAL::-0.288675 -0.400000 -0.300000
+DEAL::
+DEAL::vertices on cell 0_1:2
+DEAL::-0.211325 0.00000 -0.211325
+DEAL::0.00000 0.00000 -0.211325
+DEAL::-0.211325 0.211325 -0.211325
+DEAL::0.00000 0.211325 -0.211325
+DEAL::-0.211325 0.00000 0.00000
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+DEAL::-0.211325 0.211325 0.00000
+DEAL::0.00000 0.211325 0.00000
+DEAL::vertices given mapping
+DEAL::-0.711325 -0.400000 -0.511325
+DEAL::-0.500000 -0.400000 -0.511325
+DEAL::-0.711325 -0.188675 -0.511325
+DEAL::-0.500000 -0.188675 -0.511325
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+DEAL::-0.500000 -1.00566 -0.300000
+DEAL::-0.0407842 -0.859216 -0.300000
+DEAL::-0.500000 -0.611325 -0.300000
+DEAL::-0.288675 -0.611325 -0.300000
+DEAL::-0.500000 -0.859216 0.159216
+DEAL::-0.105662 -0.794338 0.0943376
+DEAL::-0.500000 -0.611325 -0.0886751
+DEAL::-0.288675 -0.611325 -0.0886751
+DEAL::
+DEAL::vertices on cell 6_1:0
+DEAL::-0.577350 0.577350 -0.577350
+DEAL::-0.394338 0.394338 -0.394338
+DEAL::0.00000 0.707107 -0.707107
+DEAL::0.00000 0.459216 -0.459216
+DEAL::-0.707107 0.707107 0.00000
+DEAL::-0.459216 0.459216 0.00000
+DEAL::0.00000 1.00000 0.00000
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::vertices given mapping
+DEAL::-1.07735 0.177350 -0.877350
+DEAL::-0.894338 -0.00566243 -0.694338
+DEAL::-0.500000 0.307107 -1.00711
+DEAL::-0.500000 0.0592158 -0.759216
+DEAL::-1.20711 0.307107 -0.300000
+DEAL::-0.959216 0.0592158 -0.300000
+DEAL::-0.500000 0.600000 -0.300000
+DEAL::-0.500000 0.205662 -0.300000
+DEAL::
+DEAL::vertices on cell 6_1:1
+DEAL::-0.394338 0.394338 -0.394338
+DEAL::-0.211325 0.211325 -0.211325
+DEAL::0.00000 0.459216 -0.459216
+DEAL::0.00000 0.211325 -0.211325
+DEAL::-0.459216 0.459216 0.00000
+DEAL::-0.211325 0.211325 0.00000
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::0.00000 0.211325 0.00000
+DEAL::vertices given mapping
+DEAL::-0.894338 -0.00566243 -0.694338
+DEAL::-0.711325 -0.188675 -0.511325
+DEAL::-0.500000 0.0592158 -0.759216
+DEAL::-0.500000 -0.188675 -0.511325
+DEAL::-0.959216 0.0592158 -0.300000
+DEAL::-0.711325 -0.188675 -0.300000
+DEAL::-0.500000 0.205662 -0.300000
+DEAL::-0.500000 -0.188675 -0.300000
+DEAL::
+DEAL::vertices on cell 6_1:2
+DEAL::0.00000 0.707107 -0.707107
+DEAL::0.00000 0.459216 -0.459216
+DEAL::0.577350 0.577350 -0.577350
+DEAL::0.394338 0.394338 -0.394338
+DEAL::0.00000 1.00000 0.00000
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::0.707107 0.707107 0.00000
+DEAL::0.459216 0.459216 0.00000
+DEAL::vertices given mapping
+DEAL::-0.500000 0.307107 -1.00711
+DEAL::-0.500000 0.0592158 -0.759216
+DEAL::0.0773503 0.177350 -0.877350
+DEAL::-0.105662 -0.00566243 -0.694338
+DEAL::-0.500000 0.600000 -0.300000
+DEAL::-0.500000 0.205662 -0.300000
+DEAL::0.207107 0.307107 -0.300000
+DEAL::-0.0407842 0.0592158 -0.300000
+DEAL::
+DEAL::vertices on cell 6_1:3
+DEAL::0.00000 0.459216 -0.459216
+DEAL::0.00000 0.211325 -0.211325
+DEAL::0.394338 0.394338 -0.394338
+DEAL::0.211325 0.211325 -0.211325
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::0.00000 0.211325 0.00000
+DEAL::0.459216 0.459216 0.00000
+DEAL::0.211325 0.211325 0.00000
+DEAL::vertices given mapping
+DEAL::-0.500000 0.0592158 -0.759216
+DEAL::-0.500000 -0.188675 -0.511325
+DEAL::-0.105662 -0.00566243 -0.694338
+DEAL::-0.288675 -0.188675 -0.511325
+DEAL::-0.500000 0.205662 -0.300000
+DEAL::-0.500000 -0.188675 -0.300000
+DEAL::-0.0407842 0.0592158 -0.300000
+DEAL::-0.288675 -0.188675 -0.300000
+DEAL::
+DEAL::vertices on cell 6_1:4
+DEAL::-0.707107 0.707107 0.00000
+DEAL::-0.459216 0.459216 0.00000
+DEAL::0.00000 1.00000 0.00000
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::-0.577350 0.577350 0.577350
+DEAL::-0.394338 0.394338 0.394338
+DEAL::0.00000 0.707107 0.707107
+DEAL::0.00000 0.459216 0.459216
+DEAL::vertices given mapping
+DEAL::-1.20711 0.307107 -0.300000
+DEAL::-0.959216 0.0592158 -0.300000
+DEAL::-0.500000 0.600000 -0.300000
+DEAL::-0.500000 0.205662 -0.300000
+DEAL::-1.07735 0.177350 0.277350
+DEAL::-0.894338 -0.00566243 0.0943376
+DEAL::-0.500000 0.307107 0.407107
+DEAL::-0.500000 0.0592158 0.159216
+DEAL::
+DEAL::vertices on cell 6_1:5
+DEAL::-0.459216 0.459216 0.00000
+DEAL::-0.211325 0.211325 0.00000
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::0.00000 0.211325 0.00000
+DEAL::-0.394338 0.394338 0.394338
+DEAL::-0.211325 0.211325 0.211325
+DEAL::0.00000 0.459216 0.459216
+DEAL::0.00000 0.211325 0.211325
+DEAL::vertices given mapping
+DEAL::-0.959216 0.0592158 -0.300000
+DEAL::-0.711325 -0.188675 -0.300000
+DEAL::-0.500000 0.205662 -0.300000
+DEAL::-0.500000 -0.188675 -0.300000
+DEAL::-0.894338 -0.00566243 0.0943376
+DEAL::-0.711325 -0.188675 -0.0886751
+DEAL::-0.500000 0.0592158 0.159216
+DEAL::-0.500000 -0.188675 -0.0886751
+DEAL::
+DEAL::vertices on cell 6_1:6
+DEAL::0.00000 1.00000 0.00000
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::0.707107 0.707107 0.00000
+DEAL::0.459216 0.459216 0.00000
+DEAL::0.00000 0.707107 0.707107
+DEAL::0.00000 0.459216 0.459216
+DEAL::0.577350 0.577350 0.577350
+DEAL::0.394338 0.394338 0.394338
+DEAL::vertices given mapping
+DEAL::-0.500000 0.600000 -0.300000
+DEAL::-0.500000 0.205662 -0.300000
+DEAL::0.207107 0.307107 -0.300000
+DEAL::-0.0407842 0.0592158 -0.300000
+DEAL::-0.500000 0.307107 0.407107
+DEAL::-0.500000 0.0592158 0.159216
+DEAL::0.0773503 0.177350 0.277350
+DEAL::-0.105662 -0.00566243 0.0943376
+DEAL::
+DEAL::vertices on cell 6_1:7
+DEAL::2.77556e-17 0.605662 5.55112e-17
+DEAL::0.00000 0.211325 0.00000
+DEAL::0.459216 0.459216 0.00000
+DEAL::0.211325 0.211325 0.00000
+DEAL::0.00000 0.459216 0.459216
+DEAL::0.00000 0.211325 0.211325
+DEAL::0.394338 0.394338 0.394338
+DEAL::0.211325 0.211325 0.211325
+DEAL::vertices given mapping
+DEAL::-0.500000 0.205662 -0.300000
+DEAL::-0.500000 -0.188675 -0.300000
+DEAL::-0.0407842 0.0592158 -0.300000
+DEAL::-0.288675 -0.188675 -0.300000
+DEAL::-0.500000 0.0592158 0.159216
+DEAL::-0.500000 -0.188675 -0.0886751
+DEAL::-0.105662 -0.00566243 0.0943376
+DEAL::-0.288675 -0.188675 -0.0886751
+DEAL::
+DEAL::
-- 
2.39.5