Also compute gradients of Jacobians on faces

diff --git a/doc/news/changes.h b/doc/news/changes.h
index b687662028e8564f32930bebde2cdf697153c126..7491822f11a27221bd472a1fd347e53cea3abb8d 100644 (file)
--- a/doc/news/changes.h
+++ b/doc/news/changes.h
@@ -90,6 +90,13 @@ inconvenience this causes.
 
 
 <ol>
+  <li> New: FEFaceValues and FESubfaceValues can now also compute
+  gradients of the Jacobian of the transformation from unit to real cell,
+  controlled by update_jacobian_grads.
+  <br>
+  (Martin Kronbichler, 2015/08/08)
+  </li>
+
   <li> New: There is now a function MemoryConsumption::memory_consumption()
   for std_cxx11::unique_ptr arguments.
   <br>

diff --git a/source/fe/fe_values.cc b/source/fe/fe_values.cc
index 6f18dc0fbec5962485741b7e1ca66fdc3e4b30cb..a5a19d25fb075795cc8fee94a931b588349662a6 100644 (file)
--- a/source/fe/fe_values.cc
+++ b/source/fe/fe_values.cc
@@ -3709,9 +3709,6 @@ void FEFaceValues<dim,spacedim>::do_reinit (const unsigned int face_no)
   const typename Triangulation<dim,spacedim>::cell_iterator cell=*this->present_cell;
   this->present_face_index=cell->face_index(face_no);
 
-  Assert(!(this->update_flags & update_jacobian_grads),
-         ExcNotImplemented());
-
   this->get_mapping().fill_fe_face_values(*this->present_cell,
                                           face_no,
                                           this->quadrature,
@@ -3943,9 +3940,6 @@ void FESubfaceValues<dim,spacedim>::do_reinit (const unsigned int face_no,
       this->present_face_index=subface_index;
     }
 
-  Assert(!(this->update_flags & update_jacobian_grads),
-         ExcNotImplemented());
-
   // now ask the mapping and the finite element to do the actual work
   this->get_mapping().fill_fe_subface_values(*this->present_cell,
                                              face_no,

diff --git a/source/fe/mapping_q1.cc b/source/fe/mapping_q1.cc
index 4d9bde09b6b3186d0a7ce755c463712a1339ddc6..58cfd8ceb30f60e49507b27df874b8cc33cb9d40 100644 (file)
--- a/source/fe/mapping_q1.cc
+++ b/source/fe/mapping_q1.cc
@@ -835,6 +835,54 @@ namespace internal
           }
 
     }
+
+    /**
+     * Update the Hessian of the transformation from unit to real cell, the
+     * Jacobian gradients.
+     *
+     * Skip the computation if possible as indicated by the first argument.
+     */
+    template <int dim, int spacedim>
+    void
+    maybe_update_jacobian_grads (const CellSimilarity::Similarity                                   cell_similarity,
+                                 const typename dealii::MappingQ1<dim,spacedim>::DataSetDescriptor  data_set,
+                                 const typename dealii::MappingQ1<dim,spacedim>::InternalData      &data,
+                                 std::vector<DerivativeForm<2,dim,spacedim> >                      &jacobian_grads)
+    {
+      const UpdateFlags update_flags(data.current_update_flags());
+      if (update_flags & update_jacobian_grads)
+        {
+          const unsigned int n_q_points = jacobian_grads.size();
+
+          if (cell_similarity != CellSimilarity::translation)
+            {
+              for (unsigned int point=0; point<n_q_points; ++point)
+                {
+                  const Tensor<2,dim> *second =
+                    &data.second_derivative(point+data_set, 0);
+                  double result [spacedim][dim][dim];
+                  for (unsigned int i=0; i<spacedim; ++i)
+                    for (unsigned int j=0; j<dim; ++j)
+                      for (unsigned int l=0; l<dim; ++l)
+                        result[i][j][l] = (second[0][j][l] *
+                                           data.mapping_support_points[0][i]);
+                  for (unsigned int k=1; k<data.n_shape_functions; ++k)
+                    for (unsigned int i=0; i<spacedim; ++i)
+                      for (unsigned int j=0; j<dim; ++j)
+                        for (unsigned int l=0; l<dim; ++l)
+                          result[i][j][l]
+                          += (second[k][j][l]
+                              *
+                              data.mapping_support_points[k][i]);
+
+                  for (unsigned int i=0; i<spacedim; ++i)
+                    for (unsigned int j=0; j<dim; ++j)
+                      for (unsigned int l=0; l<dim; ++l)
+                        jacobian_grads[point][i][j][l] = result[i][j][l];
+                }
+            }
+        }
+    }
   }
 }
 
@@ -991,50 +1039,6 @@ fill_fe_values (const typename Triangulation<dim,spacedim>::cell_iterator &cell,
           output_data.jacobians[point] = data.contravariant[point];
     }
 
-  // calculate values of the derivatives of the Jacobians. do it here, since
-  // we only do it for cells, not faces.
-  if (update_flags & update_jacobian_grads)
-    {
-      AssertDimension (output_data.jacobian_grads.size(), n_q_points);
-
-      if (cell_similarity != CellSimilarity::translation)
-        {
-
-          std::fill(output_data.jacobian_grads.begin(),
-                    output_data.jacobian_grads.end(),
-                    DerivativeForm<2,dim,spacedim>());
-
-
-          const unsigned int data_set = DataSetDescriptor::cell();
-
-          for (unsigned int point=0; point<n_q_points; ++point)
-            {
-              const Tensor<2,dim> *second =
-                &data.second_derivative(point+data_set, 0);
-              double result [spacedim][dim][dim];
-              for (unsigned int i=0; i<spacedim; ++i)
-                for (unsigned int j=0; j<dim; ++j)
-                  for (unsigned int l=0; l<dim; ++l)
-                    result[i][j][l] = (second[0][j][l] *
-                                       data.mapping_support_points[0][i]);
-              for (unsigned int k=1; k<data.n_shape_functions; ++k)
-                for (unsigned int i=0; i<spacedim; ++i)
-                  for (unsigned int j=0; j<dim; ++j)
-                    for (unsigned int l=0; l<dim; ++l)
-                      result[i][j][l]
-                      += (second[k][j][l]
-                          *
-                          data.mapping_support_points[k][i]);
-
-              // never touch any data for j=dim in case dim<spacedim, so it
-              // will always be zero as it was initialized
-              for (unsigned int i=0; i<spacedim; ++i)
-                for (unsigned int j=0; j<dim; ++j)
-                  for (unsigned int l=0; l<dim; ++l)
-                    output_data.jacobian_grads[point][i][j][l] = result[i][j][l];
-            }
-        }
-    }
   // copy values from InternalData to vector given by reference
   if (update_flags & update_inverse_jacobians)
     {
@@ -1044,6 +1048,11 @@ fill_fe_values (const typename Triangulation<dim,spacedim>::cell_iterator &cell,
           output_data.inverse_jacobians[point] = data.covariant[point].transpose();
     }
 
+  internal::maybe_update_jacobian_grads<dim,spacedim> (cell_similarity,
+                                                       DataSetDescriptor::cell (),
+                                                       data,
+                                                       output_data.jacobian_grads);
+
   return cell_similarity;
 }
 
@@ -1220,6 +1229,10 @@ namespace internal
       maybe_update_Jacobians<dim,spacedim> (CellSimilarity::none,
                                             data_set,
                                             data);
+      maybe_update_jacobian_grads<dim,spacedim> (CellSimilarity::none,
+                                                 data_set,
+                                                 data,
+                                                 output_data.jacobian_grads);
       maybe_compute_face_data (mapping,
                                cell, face_no, subface_no, quadrature.size(),
                                quadrature.get_weights(), data,

diff --git a/tests/fe/jacobians.cc b/tests/fe/jacobians.cc
index f9427a0c03de726328d8e26a9b6ac5a1d3821eed..696de2341218887a3e93f057673b43c7d0c4e8e1 100644 (file)
--- a/tests/fe/jacobians.cc
+++ b/tests/fe/jacobians.cc
@@ -14,8 +14,8 @@
 // ---------------------------------------------------------------------
 
 
-// Show the Jacobians and inverse Jacobians on hyperball with one quadrature
-// point
+// Show the Jacobians, inverse Jacobians, and Jacobian gradients on hyperball
+// with one quadrature point
 
 #include "../tests.h"
 #include <deal.II/base/quadrature_lib.h>
@@ -44,7 +44,8 @@ void test()
     quad_p(d) = 0.42 + 0.11 * d;
   Quadrature<dim> quad(quad_p);
   FEValues<dim> fe_val (mapping, dummy, quad,
-                        update_jacobians | update_inverse_jacobians);
+                        update_jacobians | update_inverse_jacobians |
+                        update_jacobian_grads);
   deallog << dim << "d Jacobians:" << std::endl;
   typename Triangulation<dim>::active_cell_iterator
   cell = tria.begin_active(), endc = tria.end();
@@ -72,6 +73,21 @@ void test()
       deallog << std::endl;
     }
   deallog << std::endl;
+
+  deallog << dim << "d Jacobian gradients:" << std::endl;
+  cell = tria.begin_active();
+  endc = tria.end();
+  for ( ; cell != endc; ++cell)
+    {
+      fe_val.reinit (cell);
+
+      for (unsigned int d=0; d<dim; ++d)
+        for (unsigned int e=0; e<dim; ++e)
+          for (unsigned int f=0; f<dim; ++f)
+            deallog << fe_val.jacobian_grad(0)[d][e][f] << " ";
+      deallog << std::endl;
+    }
+  deallog << std::endl;
 }
 
 
@@ -79,7 +95,7 @@ int
 main()
 {
   std::ofstream logfile ("output");
-  deallog << std::setprecision(4) << std::fixed;
+  deallog << std::setprecision(8) << std::fixed;
   deallog.attach(logfile);
   deallog.depth_console(0);
   deallog.threshold_double(1.e-10);
@@ -89,6 +105,3 @@ main()
 
   return 0;
 }
-
-
-

diff --git a/tests/fe/jacobians.output b/tests/fe/jacobians.output
index 7a8e9489addf83873a65f595d1b35ce8f38aa3c8..a29f3a7cd38d862f2b8fc9eae8ed01dd48784210 100644 (file)
--- a/tests/fe/jacobians.output
+++ b/tests/fe/jacobians.output
@@ -1,33 +1,49 @@
 
 DEAL::2d Jacobians:
-DEAL::0.9742 0.0664 -0.0313 0.5814 
-DEAL::0.6710 0.0173 -0.0272 1.0693 
-DEAL::0.5858 0 0 0.5858 
-DEAL::0.0313 -0.5814 0.9742 0.0664 
-DEAL::-0.0272 1.0693 -0.6710 -0.0173 
+DEAL::0.97416533 0.06643545 -0.03128628 0.58141017 
+DEAL::0.67100687 0.01733694 -0.02724953 1.06933838 
+DEAL::0.58578644 0 0 0.58578644 
+DEAL::0.03128628 -0.58141017 0.97416533 0.06643545 
+DEAL::-0.02724953 1.06933838 -0.67100687 -0.01733694 
 DEAL::
 DEAL::2d inverse Jacobians:
-DEAL::1.0228 -0.1169 0.0550 1.7137 
-DEAL::1.4893 -0.0241 0.0380 0.9345 
-DEAL::1.7071 0 0 1.7071 
-DEAL::0.1169 1.0228 -1.7137 0.0550 
-DEAL::-0.0241 -1.4893 0.9345 -0.0380 
+DEAL::1.02276649 -0.11686749 0.05503611 1.71366741 
+DEAL::1.48931714 -0.02414596 0.03795168 0.93454238 
+DEAL::1.70710678 0 0 1.70710678 
+DEAL::0.11686749 1.02276649 -1.71366741 0.05503611 
+DEAL::-0.02414596 -1.48931714 0.93454238 -0.03795168 
+DEAL::
+DEAL::2d Jacobian gradients:
+DEAL::-0.00204199 -0.83033717 -0.83033717 -0.04134342 0.39107846 0.10981715 0.10981715 -0.63752903 
+DEAL::-0.90847214 -0.06185307 -0.06185307 0.57789806 0.02659837 -0.90774034 -0.90774034 -0.00223032 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::-0.39107846 -0.10981715 -0.10981715 0.63752903 -0.00204199 -0.83033717 -0.83033717 -0.04134342 
+DEAL::0.02659837 -0.90774034 -0.90774034 -0.00223032 0.90847214 0.06185307 0.06185307 -0.57789806 
 DEAL::
 DEAL::3d Jacobians:
-DEAL::0.4226 0 0 0 0.4226 0 0 0 0.4226 
-DEAL::0.7165 0.0006 0.0634 0.0006 0.7162 -0.0222 -0.0141 0.0052 0.4802 
-DEAL::0.0201 -0.5556 -0.0358 0.8018 0.0685 0.0034 0.0038 -0.1227 0.8074 
-DEAL::0.8018 0.0685 0.0034 0.0038 -0.1227 0.8074 0.0201 -0.5556 -0.0358 
-DEAL::0.6859 0.0119 0.0572 -0.0304 0.9075 -0.0021 -0.1524 -0.0021 0.9114 
-DEAL::0.8018 0.0685 0.0034 -0.0201 0.5556 0.0358 0.0038 -0.1227 0.8074 
-DEAL::-0.0304 0.9075 -0.0021 -0.6859 -0.0119 -0.0572 -0.1524 -0.0021 0.9114 
+DEAL::0.42264973 0 0 0 0.42264973 0 0 0 0.42264973 
+DEAL::0.71650265 0.00057392 0.06336402 0.00057925 0.71615833 -0.02222757 -0.01407354 0.00523990 0.48019279 
+DEAL::0.02009773 -0.55557232 -0.03579057 0.80181573 0.06854119 0.00343503 0.00375449 -0.12266862 0.80741050 
+DEAL::0.80181573 0.06854119 0.00343503 0.00375449 -0.12266862 0.80741050 0.02009773 -0.55557232 -0.03579057 
+DEAL::0.68594812 0.01191353 0.05718759 -0.03037115 0.90754836 -0.00214412 -0.15238827 -0.00211580 0.91136026 
+DEAL::0.80181573 0.06854119 0.00343503 -0.02009773 0.55557232 0.03579057 0.00375449 -0.12266862 0.80741050 
+DEAL::-0.03037115 0.90754836 -0.00214412 -0.68594812 -0.01191353 -0.05718759 -0.15238827 -0.00211580 0.91136026 
 DEAL::
 DEAL::3d inverse Jacobians:
-DEAL::2.3660 0 0 0 2.3660 0 0 0 2.3660 
-DEAL::1.3921 0.0002 -0.1837 0.0001 1.3959 0.0646 0.0408 -0.0152 2.0764 
-DEAL::0.1531 1.2433 0.0015 -1.7770 0.0449 -0.0790 -0.2707 0.0010 1.2265 
-DEAL::1.2433 0.0015 0.1531 0.0449 -0.0790 -1.7770 0.0010 1.2265 -0.2707 
-DEAL::1.4370 -0.0191 -0.0902 0.0487 1.1012 -0.0005 0.2404 -0.0006 1.0822 
-DEAL::1.2433 -0.1531 0.0015 0.0449 1.7770 -0.0790 0.0010 0.2707 1.2265 
-DEAL::-0.0191 -1.4370 -0.0902 1.1012 -0.0487 -0.0005 -0.0006 -0.2404 1.0822 
+DEAL::2.36602540 0 0 0 2.36602540 0 0 0 2.36602540 
+DEAL::1.39206023 0.00022835 -0.18367925 0.00014028 1.39586654 0.06459453 0.04079711 -0.01522512 2.07640876 
+DEAL::0.15305951 1.24332587 0.00149519 -1.77697103 0.04490999 -0.07895994 -0.27068418 0.00104160 1.22652416 
+DEAL::1.24332587 0.00149519 0.15305951 0.04490999 -0.07895994 -1.77697103 0.00104160 1.22652416 -0.27068418 
+DEAL::1.43695022 -0.01907339 -0.09021307 0.04865553 1.10122987 -0.00046230 0.24038497 -0.00063265 1.08217535 
+DEAL::1.24332587 -0.15305951 0.00149519 0.04490999 1.77697103 -0.07895994 0.00104160 0.27068418 1.22652416 
+DEAL::-0.01907339 -1.43695022 -0.09021307 1.10122987 -0.04865553 -0.00046230 -0.00063265 -0.24038497 1.08217535 
+DEAL::
+DEAL::3d Jacobian gradients:
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0.00137395 -0.00717231 -0.79419777 -0.00717231 0.01913055 -0.00149076 -0.79419777 -0.00149076 -0.04004959 -0.00724068 0.01930659 -0.00052463 0.01930659 -0.00070680 -0.74156764 -0.00052463 -0.74156764 0.01902151 0.17591921 0.00109594 0.04186023 0.00109594 0.17466345 -0.01561922 0.04186023 -0.01561922 -0.55167180 
+DEAL::-0.25122164 -0.07828991 -0.00750963 -0.07828991 0.93587546 0.13995856 -0.00750963 0.13995856 -0.25564696 -0.01036284 -0.85760495 -0.04324137 -0.85760495 -0.12000055 -0.01202929 -0.04324137 -0.01202929 0.02453591 -0.04693108 -0.01316991 0.02699113 -0.01316991 0.14532022 -0.87698852 0.02699113 -0.87698852 0.00740082 
+DEAL::-0.01036284 -0.85760495 -0.04324137 -0.85760495 -0.12000055 -0.01202929 -0.04324137 -0.01202929 0.02453591 -0.04693108 -0.01316991 0.02699113 -0.01316991 0.14532022 -0.87698852 0.02699113 -0.87698852 0.00740082 -0.25122164 -0.07828991 -0.00750963 -0.07828991 0.93587546 0.13995856 -0.00750963 0.13995856 -0.25564696 
+DEAL::-1.37058893 -0.05160788 -0.24996159 -0.05160788 0.39711769 -0.00510516 -0.24996159 -0.00510516 0.40848276 0.04774078 -1.01187322 0.00879803 -1.01187322 -0.00078284 -0.07147435 0.00879803 -0.07147435 -0.01531514 0.34545125 0.01080303 -1.06671725 0.01080303 -0.07052681 -0.01516606 -1.06671725 -0.01516606 -0.00035074 
+DEAL::-0.01036284 -0.85760495 -0.04324137 -0.85760495 -0.12000055 -0.01202929 -0.04324137 -0.01202929 0.02453591 0.25122164 0.07828991 0.00750963 0.07828991 -0.93587546 -0.13995856 0.00750963 -0.13995856 0.25564696 -0.04693108 -0.01316991 0.02699113 -0.01316991 0.14532022 -0.87698852 0.02699113 -0.87698852 0.00740082 
+DEAL::0.04774078 -1.01187322 0.00879803 -1.01187322 -0.00078284 -0.07147435 0.00879803 -0.07147435 -0.01531514 1.37058893 0.05160788 0.24996159 0.05160788 -0.39711769 0.00510516 0.24996159 0.00510516 -0.40848276 0.34545125 0.01080303 -1.06671725 0.01080303 -0.07052681 -0.01516606 -1.06671725 -0.01516606 -0.00035074 
 DEAL::

diff --git a/tests/fe/jacobians_face.cc b/tests/fe/jacobians_face.cc
index 3b03eb2fb68571686e313ea7e495acb00646d88b..2a7dbe1c6787b5ecd4a6b7bb81e4142945c4b479 100644 (file)
--- a/tests/fe/jacobians_face.cc
+++ b/tests/fe/jacobians_face.cc
@@ -45,9 +45,11 @@ void test()
     quad_p(d) = 0.42 + 0.11 * d;
   Quadrature<dim-1> quad(quad_p);
   FEFaceValues<dim> fe_val (mapping, dummy, quad,
-                            update_jacobians | update_inverse_jacobians);
+                            update_jacobians | update_inverse_jacobians |
+                            update_jacobian_grads);
   FESubfaceValues<dim> fe_sub_val (mapping, dummy, quad,
-                                   update_jacobians | update_inverse_jacobians);
+                                   update_jacobians | update_inverse_jacobians |
+                                   update_jacobian_grads);
   deallog << dim << "d Jacobians:" << std::endl;
   typename Triangulation<dim>::active_cell_iterator
   cell = tria.begin_active(), endc = tria.end();
@@ -104,6 +106,36 @@ void test()
 
     }
   deallog << std::endl;
+
+  deallog << dim << "d Jacobian gradients:" << std::endl;
+  cell = tria.begin_active();
+  endc = tria.end();
+  for ( ; cell != endc; ++cell)
+    for (unsigned int f=0; f<GeometryInfo<dim>::faces_per_cell; ++f)
+      {
+        fe_val.reinit (cell, f);
+
+        for (unsigned int d=0; d<dim; ++d)
+          for (unsigned int e=0; e<dim; ++e)
+            for (unsigned int f=0; f<dim; ++f)
+              deallog << fe_val.jacobian_grad(0)[d][e][f] << " ";
+        deallog << std::endl;
+
+        // Also check the Jacobian with FESubfaceValues
+        if (cell->at_boundary(f) == false &&
+            cell->neighbor(f)->level() < cell->level())
+          {
+            fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f),
+                              cell->neighbor_of_coarser_neighbor(f).second);
+
+            for (unsigned int d=0; d<dim; ++d)
+              for (unsigned int e=0; e<dim; ++e)
+                for (unsigned int f=0; f<dim; ++f)
+                  deallog << fe_sub_val.jacobian_grad(0)[d][e][f] << " ";
+            deallog << std::endl;
+          }
+      }
+  deallog << std::endl;
 }
 
 
@@ -111,7 +143,7 @@ int
 main()
 {
   std::ofstream logfile ("output");
-  deallog << std::setprecision(4) << std::fixed;
+  deallog << std::setprecision(8) << std::fixed;
   deallog.attach(logfile);
   deallog.depth_console(0);
   deallog.threshold_double(1.e-10);

diff --git a/tests/fe/jacobians_face.output b/tests/fe/jacobians_face.output
index 7c4bebce0fe14d26395e94bb1f089bc2cf4bcc04..6846c5b81ba5e66f6dbe39bb849cb344860c9e7a 100644 (file)
--- a/tests/fe/jacobians_face.output
+++ b/tests/fe/jacobians_face.output
@@ -1,301 +1,451 @@
 
 DEAL::2d Jacobians:
-DEAL::1.2396 -0.1855 0.1241 1.5579 
-DEAL::0.5337 0 0.0751 0.5858 
-DEAL::0.4142 -0.2889 0.4142 1.0601 
-DEAL::0.4142 0.2889 -0.4142 1.0601 
-DEAL::0.5858 0 0 0.5858 
-DEAL::0.5858 0 0 0.5858 
-DEAL::0.5858 0 0 0.5858 
-DEAL::0.5858 0 0 0.5858 
-DEAL::0.2889 -0.4142 1.0601 0.4142 
-DEAL::-0.2889 -0.4142 1.0601 -0.4142 
-DEAL::0.1855 -1.2396 1.5579 0.1241 
-DEAL::0 -0.5337 0.5858 0.0751 
-DEAL::0.1241 1.5579 -1.2396 0.1855 
-DEAL::0.0751 0.5858 -0.5337 0 
-DEAL::0.4142 1.0601 -0.4142 0.2889 
-DEAL::-0.4142 1.0601 -0.4142 -0.2889 
-DEAL::0.5904 0.2071 -0.3010 0.2071 
-DEAL::0.4142 -0.6003 0.4142 1.1510 
-DEAL::0.6484 0 -0.1611 0.3536 
-DEAL::0.7056 0.2097 -0.3449 0.4656 
-DEAL::0.5000 0.1332 -0.1464 0.2971 
-DEAL::0.6484 0 0.1611 0.3536 
-DEAL::0.5904 -0.2071 0.3010 0.2071 
-DEAL::0.6003 -0.4142 1.1510 0.4142 
-DEAL::0.7428 -0.1629 0.2551 0.4947 
-DEAL::0.5000 -0.0979 0.1464 0.3214 
-DEAL::0.4130 0.2071 -0.0849 0.2071 
-DEAL::0.4142 -0.1053 0.4142 0.8181 
-DEAL::0.4130 0 -0.0849 0.3536 
-DEAL::0.5000 0.1201 -0.1464 0.2686 
-DEAL::0.2929 0.1201 0 0.2686 
-DEAL::0.5858 0 0 0.5858 
-DEAL::0.4130 0 0.0849 0.3536 
-DEAL::0.4130 -0.2071 0.0849 0.2071 
-DEAL::0.1053 -0.4142 0.8181 0.4142 
-DEAL::0.5000 -0.0870 0.1464 0.2920 
-DEAL::0.2929 -0.0870 0 0.2920 
-DEAL::0.5858 0 0 0.5858 
+DEAL::1.23963445 -0.18547181 0.12412324 1.55786718 
+DEAL::0.53368238 0 0.07513814 0.58578644 
+DEAL::0.41421356 -0.28894903 0.41421356 1.06007883 
+DEAL::0.41421356 0.28894903 -0.41421356 1.06007883 
+DEAL::0.58578644 0 0 0.58578644 
+DEAL::0.58578644 0 0 0.58578644 
+DEAL::0.58578644 0 0 0.58578644 
+DEAL::0.58578644 0 0 0.58578644 
+DEAL::0.28894903 -0.41421356 1.06007883 0.41421356 
+DEAL::-0.28894903 -0.41421356 1.06007883 -0.41421356 
+DEAL::0.18547181 -1.23963445 1.55786718 0.12412324 
+DEAL::0 -0.53368238 0.58578644 0.07513814 
+DEAL::0.12412324 1.55786718 -1.23963445 0.18547181 
+DEAL::0.07513814 0.58578644 -0.53368238 0 
+DEAL::0.41421356 1.06007883 -0.41421356 0.28894903 
+DEAL::-0.41421356 1.06007883 -0.41421356 -0.28894903 
+DEAL::0.59041686 0.20710678 -0.30101918 0.20710678 
+DEAL::0.41421356 -0.60030292 0.41421356 1.15104508 
+DEAL::0.64835562 0 -0.16114263 0.35355339 
+DEAL::0.70557057 0.20974632 -0.34485147 0.46555678 
+DEAL::0.50000000 0.13315220 -0.14644661 0.29709503 
+DEAL::0.64835562 0 0.16114263 0.35355339 
+DEAL::0.59041686 -0.20710678 0.30101918 0.20710678 
+DEAL::0.60030292 -0.41421356 1.15104508 0.41421356 
+DEAL::0.74276054 -0.16287016 0.25506692 0.49467915 
+DEAL::0.50000000 -0.09790993 0.14644661 0.32139848 
+DEAL::0.41301515 0.20710678 -0.08493903 0.20710678 
+DEAL::0.41421356 -0.10529159 0.41421356 0.81807057 
+DEAL::0.41301515 0 -0.08493903 0.35355339 
+DEAL::0.50000000 0.12012193 -0.14644661 0.26861436 
+DEAL::0.29289322 0.12012193 0 0.26861436 
+DEAL::0.58578644 0 0 0.58578644 
+DEAL::0.41301515 0 0.08493903 0.35355339 
+DEAL::0.41301515 -0.20710678 0.08493903 0.20710678 
+DEAL::0.10529159 -0.41421356 0.81807057 0.41421356 
+DEAL::0.50000000 -0.08698485 0.14644661 0.29204581 
+DEAL::0.29289322 -0.08698485 0 0.29204581 
+DEAL::0.58578644 0 0 0.58578644 
 DEAL::
 DEAL::2d inverse Jacobians:
-DEAL::0.7972 0.0949 -0.0635 0.6343 
-DEAL::1.8738 0 -0.2403 1.7071 
-DEAL::1.8971 0.5171 -0.7413 0.7413 
-DEAL::1.8971 -0.5171 0.7413 0.7413 
-DEAL::1.7071 0 0 1.7071 
-DEAL::1.7071 0 0 1.7071 
-DEAL::1.7071 0 0 1.7071 
-DEAL::1.7071 0 0 1.7071 
-DEAL::0.7413 0.7413 -1.8971 0.5171 
-DEAL::-0.7413 0.7413 -1.8971 -0.5171 
-DEAL::0.0635 0.6343 -0.7972 0.0949 
-DEAL::0.2403 1.7071 -1.8738 0 
-DEAL::0.0949 -0.7972 0.6343 0.0635 
-DEAL::0 -1.8738 1.7071 0.2403 
-DEAL::0.5171 -1.8971 0.7413 0.7413 
-DEAL::-0.5171 -1.8971 0.7413 -0.7413 
-DEAL::1.1218 -1.1218 1.6305 3.1980 
-DEAL::1.5867 0.8275 -0.5710 0.5710 
-DEAL::1.5424 0 0.7030 2.8284 
-DEAL::1.1615 -0.5233 0.8604 1.7603 
-DEAL::1.7679 -0.7923 0.8715 2.9754 
-DEAL::1.5424 0 -0.7030 2.8284 
-DEAL::1.1218 1.1218 -1.6305 3.1980 
-DEAL::0.5710 0.5710 -1.5867 0.8275 
-DEAL::1.2096 0.3982 -0.6237 1.8162 
-DEAL::1.8362 0.5594 -0.8367 2.8565 
-DEAL::2.0082 -2.0082 0.8236 4.0048 
-DEAL::2.1389 0.2753 -1.0830 1.0830 
-DEAL::2.4212 0 0.5817 2.8284 
-DEAL::1.7684 -0.7908 0.9641 3.2917 
-DEAL::3.4142 -1.5268 0 3.7228 
-DEAL::1.7071 0 0 1.7071 
-DEAL::2.4212 0 -0.5817 2.8284 
-DEAL::2.0082 2.0082 -0.8236 4.0048 
-DEAL::1.0830 1.0830 -2.1389 0.2753 
-DEAL::1.8395 0.5479 -0.9224 3.1494 
-DEAL::3.4142 1.0169 0 3.4241 
-DEAL::1.7071 0 0 1.7071 
+DEAL::0.79718629 0.09490898 -0.06351591 0.63434136 
+DEAL::1.87377370 0 -0.24034676 1.70710678 
+DEAL::1.89711181 0.51710175 -0.74127453 0.74127453 
+DEAL::1.89711181 -0.51710175 0.74127453 0.74127453 
+DEAL::1.70710678 0 0 1.70710678 
+DEAL::1.70710678 0 0 1.70710678 
+DEAL::1.70710678 0 0 1.70710678 
+DEAL::1.70710678 0 0 1.70710678 
+DEAL::0.74127453 0.74127453 -1.89711181 0.51710175 
+DEAL::-0.74127453 0.74127453 -1.89711181 -0.51710175 
+DEAL::0.06351591 0.63434136 -0.79718629 0.09490898 
+DEAL::0.24034676 1.70710678 -1.87377370 0 
+DEAL::0.09490898 -0.79718629 0.63434136 0.06351591 
+DEAL::0 -1.87377370 1.70710678 0.24034676 
+DEAL::0.51710175 -1.89711181 0.74127453 0.74127453 
+DEAL::-0.51710175 -1.89711181 0.74127453 -0.74127453 
+DEAL::1.12178547 -1.12178547 1.63045818 3.19796894 
+DEAL::1.58670272 0.82751084 -0.57098875 0.57098875 
+DEAL::1.54236343 0 0.70297871 2.82842712 
+DEAL::1.16152683 -0.52330025 0.86037676 1.76034199 
+DEAL::1.76792606 -0.79235000 0.87146116 2.97535453 
+DEAL::1.54236343 0 -0.70297871 2.82842712 
+DEAL::1.12178547 1.12178547 -1.63045818 3.19796894 
+DEAL::0.57098875 0.57098875 -1.58670272 0.82751084 
+DEAL::1.20957041 0.39824384 -0.62367982 1.81616949 
+DEAL::1.83616594 0.55936445 -0.83665697 2.85652558 
+DEAL::2.00821688 -2.00821688 0.82361379 4.00481334 
+DEAL::2.13891922 0.27529435 -1.08299868 1.08299868 
+DEAL::2.42121868 0 0.58168294 2.82842712 
+DEAL::1.76837908 -0.79080328 0.96410752 3.29166896 
+DEAL::3.41421356 -1.52680571 0 3.72280920 
+DEAL::1.70710678 0 0 1.70710678 
+DEAL::2.42121868 0 -0.58168294 2.82842712 
+DEAL::2.00821688 2.00821688 -0.82361379 4.00481334 
+DEAL::1.08299868 1.08299868 -2.13891922 0.27529435 
+DEAL::1.83952492 0.54789621 -0.92243125 3.14937729 
+DEAL::3.41421356 1.01691184 0 3.42412029 
+DEAL::1.70710678 0 0 1.70710678 
+DEAL::
+DEAL::2d Jacobian gradients:
+DEAL::-1.84633620 0.54214837 0.54214837 2.31839763 -0.17634636 -1.51354439 -1.51354439 0.29875970 
+DEAL::0.43443205 0.07846884 0.07846884 0 0.07837616 -0.93340477 -0.93340477 0 
+DEAL::0 1.03088442 1.03088442 0.57789806 0 -0.66806882 -0.66806882 0.03717203 
+DEAL::0 -1.03088442 -1.03088442 0.57789806 0 -0.66806882 -0.66806882 -0.03717203 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::-0.57789806 -1.03088442 -1.03088442 0 0.03717203 -0.66806882 -0.66806882 0 
+DEAL::-0.57789806 1.03088442 1.03088442 0 -0.03717203 -0.66806882 -0.66806882 0 
+DEAL::-2.31839763 -0.54214837 -0.54214837 1.84633620 0.29875970 -1.51354439 -1.51354439 -0.17634636 
+DEAL::0 -0.07846884 -0.07846884 -0.43443205 0 -0.93340477 -0.93340477 0.07837616 
+DEAL::-0.17634636 -1.51354439 -1.51354439 0.29875970 1.84633620 -0.54214837 -0.54214837 -2.31839763 
+DEAL::0.07837616 -0.93340477 -0.93340477 0 -0.43443205 -0.07846884 -0.07846884 0 
+DEAL::0 -0.66806882 -0.66806882 0.03717203 0 -1.03088442 -1.03088442 -0.57789806 
+DEAL::0 -0.66806882 -0.66806882 -0.03717203 0 1.03088442 1.03088442 -0.57789806 
+DEAL::0.06235292 -0.08471018 -0.08471018 0 0.13804815 0.38807799 0.38807799 0 
+DEAL::0 2.00320701 2.00320701 1.20060584 0 -0.15024142 -0.15024142 0.53519273 
+DEAL::0.05352461 -0.29141850 -0.29141850 0 0.14170495 -0.11096004 -0.11096004 0 
+DEAL::0.26791486 -0.23410942 -0.23410942 -0.20605054 0.54645813 0.31136944 0.31136944 -0.43821988 
+DEAL::0 -0.21170570 -0.21170570 0.05286230 0 0.17060309 0.17060309 0.10129638 
+DEAL::-0.05352461 -0.29141850 -0.29141850 0 0.14170495 0.11096004 0.11096004 0 
+DEAL::-0.06235292 -0.08471018 -0.08471018 0 0.13804815 -0.38807799 -0.38807799 0 
+DEAL::-1.20060584 -2.00320701 -2.00320701 0 0.53519273 -0.15024142 -0.15024142 0 
+DEAL::-0.19695983 -0.34281858 -0.34281858 0.16416851 0.57584866 -0.04892231 -0.04892231 -0.45556798 
+DEAL::0 -0.22743992 -0.22743992 -0.03424807 0 -0.13261732 -0.13261732 0.10900665 
+DEAL::0 -0.20710678 -0.20710678 0 0 0.14644661 0.14644661 0 
+DEAL::0 0.36695330 0.36695330 0.21058318 0 -0.90934959 -0.90934959 0.04775839 
+DEAL::0 -0.20710678 -0.20710678 0 0 0.14644661 0.14644661 0 
+DEAL::0 -0.20710678 -0.20710678 0 0 0.14644661 0.14644661 0 
+DEAL::0 -0.20710678 -0.20710678 0 0 0.14644661 0.14644661 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 -0.20710678 -0.20710678 0 0 -0.14644661 -0.14644661 0 
+DEAL::0 -0.20710678 -0.20710678 0 0 -0.14644661 -0.14644661 0 
+DEAL::-0.21058318 -0.36695330 -0.36695330 0 0.04775839 -0.90934959 -0.90934959 0 
+DEAL::0 -0.20710678 -0.20710678 0 0 -0.14644661 -0.14644661 0 
+DEAL::0 -0.20710678 -0.20710678 0 0 -0.14644661 -0.14644661 0 
+DEAL::0 0 0 0 0 0 0 0 
 DEAL::
 DEAL::3d Jacobians:
-DEAL::0.8135 -0.0139 0.4404 -0.0123 0.7662 0.0586 -0.1278 -0.0139 0.4404 
-DEAL::0.8135 0.0139 -0.4404 0.0123 0.7662 0.0586 0.1278 -0.0139 0.4404 
-DEAL::0.8487 0.0077 -0.0231 0.0077 0.9111 0.4803 0.0077 -0.2042 0.4803 
-DEAL::0.8487 -0.0077 -0.0231 -0.0077 0.9111 -0.4803 0.0077 0.2042 0.4803 
-DEAL::1.5498 0.0063 0.1758 0.0093 1.6994 -0.0880 -0.1757 0.0651 1.6471 
-DEAL::0.4226 0 0.0764 0 0.4226 -0.0323 0 0 0.5391 
-DEAL::0.2042 -0.4803 -0.0077 0.9111 0.4803 0.0077 0.0077 -0.0231 0.8487 
-DEAL::-0.2042 -0.4803 -0.0077 0.9111 -0.4803 -0.0077 -0.0077 -0.0231 0.8487 
-DEAL::-0.0651 -1.6471 0.1757 1.6994 -0.0880 0.0093 0.0063 0.1758 1.5498 
-DEAL::0 -0.5391 0 0.4226 0.0864 0 0 -0.0286 0.4226 
-DEAL::0.0139 -0.4404 0.1278 0.7662 0.0586 -0.0123 -0.0139 0.4404 0.8135 
-DEAL::0.0139 -0.4404 -0.1278 0.7662 0.0586 0.0123 0.0139 -0.4404 0.8135 
-DEAL::0.9111 0.4803 0.0077 0.0077 -0.0231 0.8487 0.2042 -0.4803 -0.0077 
-DEAL::0.8204 -0.4404 0.0139 0.0134 0.0586 0.7662 -0.1278 -0.4404 0.0139 
-DEAL::1.6994 -0.0880 0.0093 0.0063 0.1758 1.5498 -0.0651 -1.6471 0.1757 
-DEAL::0.4226 0.0864 0 0 -0.0286 0.4226 0 -0.5391 0 
-DEAL::0.7662 0.0586 -0.0123 -0.0139 0.4404 0.8135 0.0139 -0.4404 0.1278 
-DEAL::0.7662 0.0586 0.0123 0.0139 -0.4404 0.8135 0.0139 -0.4404 -0.1278 
-DEAL::1.6471 -0.1757 0.0651 0.1758 1.5498 0.0063 -0.0880 0.0093 1.6994 
-DEAL::0.5391 0 0 0.0764 0.4226 0 -0.0323 0 0.4226 
-DEAL::0.4404 -0.1278 -0.0139 0.4404 0.8135 -0.0139 0.0586 -0.0123 0.7662 
-DEAL::0.4404 0.1278 -0.0139 -0.4404 0.8135 0.0139 0.0586 0.0123 0.7662 
-DEAL::0.4404 -0.0139 -0.1278 0.0586 0.7662 -0.0134 0.4404 -0.0139 0.8204 
-DEAL::0.4803 0.0077 0.2042 -0.0231 0.8487 -0.0077 -0.4803 -0.0077 0.9111 
-DEAL::0.8204 0.4404 -0.0139 -0.1278 0.4404 -0.0139 -0.0134 0.0586 0.7662 
-DEAL::0.9111 -0.4803 -0.0077 0.2042 0.4803 0.0077 -0.0077 -0.0231 0.8487 
-DEAL::1.6994 -0.0880 0.0093 0.0651 1.6471 -0.1757 0.0063 0.1758 1.5498 
-DEAL::0.4226 -0.0323 0 0 0.5391 0 0 0.0764 0.4226 
-DEAL::0.8487 -0.0231 0.0075 0.0077 0.4803 -0.2042 0.0077 0.4803 0.9092 
-DEAL::0.7662 0.0586 0.0123 -0.0139 0.4404 0.1278 0.0139 -0.4404 0.8135 
-DEAL::0.1758 1.5498 0.0063 -1.6471 0.1757 -0.0651 -0.0880 0.0093 1.6994 
-DEAL::-0.0286 0.4226 0 -0.5391 0 0 0.0864 0 0.4226 
-DEAL::0.4404 0.8135 -0.0139 -0.4404 0.1278 0.0139 0.0586 -0.0123 0.7662 
-DEAL::-0.4803 0.9092 -0.0077 -0.4803 -0.2042 -0.0077 -0.0231 -0.0075 0.8487 
-DEAL::-0.0231 0.8487 0.0077 -0.4803 -0.0077 0.2042 0.4803 0.0077 0.9111 
-DEAL::0.0586 0.7662 0.0134 -0.4404 0.0139 -0.1278 -0.4404 0.0139 0.8204 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4796 0 0 0.2569 0.4226 0 0.2223 0 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4226 0.2223 0 0 0.4796 0 0 0.2569 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4226 0 0.2569 0 0.4226 0.2223 0 0 0.4796 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0 -0.4796 0 0.4226 0.2761 0 0 0.2067 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4226 -0.2478 0 0 0.4737 0 0 0.2543 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4226 0 -0.1895 0 0.4226 0.2320 0 0 0.4968 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4968 0 0 -0.1895 0.4226 0 0.2320 0 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2067 0.4226 0 -0.4796 0 0 0.2761 0 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4226 0 0.2543 0 0.4226 -0.2478 0 0 0.4737 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0 -0.4968 0 0.4226 -0.2068 0 0 0.2127 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::-0.2316 0.4226 0 -0.4737 0 0 0.2720 0 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4226 0 -0.1875 0 0.4226 -0.2582 0 0 0.4902 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4737 0 0 0.2543 0.4226 0 -0.2478 0 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4226 0.2320 0 0 0.4968 0 0 -0.1895 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4226 0.2761 0 0 0.2067 0.4226 0 -0.4796 0 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0 -0.4737 0 0.4226 0.2720 0 0 -0.2316 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4226 -0.2582 0 0 0.4902 0 0 -0.1875 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4226 -0.2068 0 0 0.2127 0.4226 0 -0.4968 0 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4902 0 0 -0.1875 0.4226 0 -0.2582 0 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2127 0.4226 0 -0.4968 0 0 -0.2068 0 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4226 0.2720 0 0 -0.2316 0.4226 0 -0.4737 0 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0 -0.4902 0 0.4226 -0.2035 0 0 -0.2381 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::-0.2381 0.4226 0 -0.4902 0 0 -0.2035 0 0.4226 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.2113 0 0 0 0.2113 0 0 0 0.2113 
-DEAL::0.4226 -0.2035 0 0 -0.2381 0.4226 0 -0.4902 0 
+DEAL::0.81350031 -0.01391837 0.44040642 -0.01226796 0.76623426 0.05864280 -0.12782348 -0.01391837 0.44040642 
+DEAL::0.81350031 0.01391837 -0.44040642 0.01226796 0.76623426 0.05864280 0.12782348 -0.01391837 0.44040642 
+DEAL::0.84873518 0.00765757 -0.02313163 0.00771271 0.91107165 0.48026545 0.00771271 -0.20424138 0.48026545 
+DEAL::0.84873518 -0.00765757 -0.02313163 -0.00771271 0.91107165 -0.48026545 0.00771271 0.20424138 0.48026545 
+DEAL::1.54975902 0.00633378 0.17578641 0.00928390 1.69941646 -0.08802805 -0.17567935 0.06510834 1.64714337 
+DEAL::0.42264973 0 0.07640727 0 0.42264973 -0.03234765 0 0 0.53910786 
+DEAL::0.20424138 -0.48026545 -0.00771271 0.91107165 0.48026545 0.00771271 0.00765757 -0.02313163 0.84873518 
+DEAL::-0.20424138 -0.48026545 -0.00771271 0.91107165 -0.48026545 -0.00771271 -0.00765757 -0.02313163 0.84873518 
+DEAL::-0.06510834 -1.64714337 0.17567935 1.69941646 -0.08802805 0.00928390 0.00633378 0.17578641 1.54975902 
+DEAL::0 -0.53910786 0 0.42264973 0.08635470 0 0 -0.02861737 0.42264973 
+DEAL::0.01391837 -0.44040642 0.12782348 0.76623426 0.05864280 -0.01226796 -0.01391837 0.44040642 0.81350031 
+DEAL::0.01391837 -0.44040642 -0.12782348 0.76623426 0.05864280 0.01226796 0.01391837 -0.44040642 0.81350031 
+DEAL::0.91107165 0.48026545 0.00771271 0.00765757 -0.02313163 0.84873518 0.20424138 -0.48026545 -0.00771271 
+DEAL::0.82044863 -0.44040642 0.01391837 0.01337969 0.05864280 0.76623426 -0.12782348 -0.44040642 0.01391837 
+DEAL::1.69941646 -0.08802805 0.00928390 0.00633378 0.17578641 1.54975902 -0.06510834 -1.64714337 0.17567935 
+DEAL::0.42264973 0.08635470 0 0 -0.02861737 0.42264973 0 -0.53910786 0 
+DEAL::0.76623426 0.05864280 -0.01226796 -0.01391837 0.44040642 0.81350031 0.01391837 -0.44040642 0.12782348 
+DEAL::0.76623426 0.05864280 0.01226796 0.01391837 -0.44040642 0.81350031 0.01391837 -0.44040642 -0.12782348 
+DEAL::1.64714337 -0.17567935 0.06510834 0.17578641 1.54975902 0.00633378 -0.08802805 0.00928390 1.69941646 
+DEAL::0.53910786 0 0 0.07640727 0.42264973 0 -0.03234765 0 0.42264973 
+DEAL::0.44040642 -0.12782348 -0.01391837 0.44040642 0.81350031 -0.01391837 0.05864280 -0.01226796 0.76623426 
+DEAL::0.44040642 0.12782348 -0.01391837 -0.44040642 0.81350031 0.01391837 0.05864280 0.01226796 0.76623426 
+DEAL::0.44040642 -0.01391837 -0.12782348 0.05864280 0.76623426 -0.01337969 0.44040642 -0.01391837 0.82044863 
+DEAL::0.48026545 0.00771271 0.20424138 -0.02313163 0.84873518 -0.00765757 -0.48026545 -0.00771271 0.91107165 
+DEAL::0.82044863 0.44040642 -0.01391837 -0.12782348 0.44040642 -0.01391837 -0.01337969 0.05864280 0.76623426 
+DEAL::0.91107165 -0.48026545 -0.00771271 0.20424138 0.48026545 0.00771271 -0.00765757 -0.02313163 0.84873518 
+DEAL::1.69941646 -0.08802805 0.00928390 0.06510834 1.64714337 -0.17567935 0.00633378 0.17578641 1.54975902 
+DEAL::0.42264973 -0.03234765 0 0 0.53910786 0 0 0.07640727 0.42264973 
+DEAL::0.84873518 -0.02313163 0.00754376 0.00771271 0.48026545 -0.20424138 0.00771271 0.48026545 0.90917487 
+DEAL::0.76623426 0.05864280 0.01226796 -0.01391837 0.44040642 0.12782348 0.01391837 -0.44040642 0.81350031 
+DEAL::0.17578641 1.54975902 0.00633378 -1.64714337 0.17567935 -0.06510834 -0.08802805 0.00928390 1.69941646 
+DEAL::-0.02861737 0.42264973 0 -0.53910786 0 0 0.08635470 0 0.42264973 
+DEAL::0.44040642 0.81350031 -0.01391837 -0.44040642 0.12782348 0.01391837 0.05864280 -0.01226796 0.76623426 
+DEAL::-0.48026545 0.90917487 -0.00771271 -0.48026545 -0.20424138 -0.00771271 -0.02313163 -0.00754376 0.84873518 
+DEAL::-0.02313163 0.84873518 0.00765757 -0.48026545 -0.00771271 0.20424138 0.48026545 0.00771271 0.91107165 
+DEAL::0.05864280 0.76623426 0.01337969 -0.44040642 0.01391837 -0.12782348 -0.44040642 0.01391837 0.82044863 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.47964215 0 0 0.25693002 0.42264973 0 0.22230805 0 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.42264973 0.22230805 0 0 0.47964215 0 0 0.25693002 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.42264973 0 0.25693002 0 0.42264973 0.22230805 0 0 0.47964215 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0 -0.47964215 0 0.42264973 0.27613207 0 0 0.20674777 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.42264973 -0.24779904 0 0 0.47367981 0 0 0.25431533 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.42264973 0 -0.18954257 0 0.42264973 0.23197941 0 0 0.49679008 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.49679008 0 0 -0.18954257 0.42264973 0 0.23197941 0 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.20674777 0.42264973 0 -0.47964215 0 0 0.27613207 0 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.42264973 0 0.25431533 0 0.42264973 -0.24779904 0 0 0.47367981 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0 -0.49679008 0 0.42264973 -0.20680010 0 0 0.21266741 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::-0.23160365 0.42264973 0 -0.47367981 0 0 0.27203859 0 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.42264973 0 -0.18752406 0 0.42264973 -0.25822136 0 0 0.49017924 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.47367981 0 0 0.25431533 0.42264973 0 -0.24779904 0 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.42264973 0.23197941 0 0 0.49679008 0 0 -0.18954257 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.42264973 0.27613207 0 0 0.20674777 0.42264973 0 -0.47964215 0 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0 -0.47367981 0 0.42264973 0.27203859 0 0 -0.23160365 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.42264973 -0.25822136 0 0 0.49017924 0 0 -0.18752406 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.42264973 -0.20680010 0 0 0.21266741 0.42264973 0 -0.49679008 0 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.49017924 0 0 -0.18752406 0.42264973 0 -0.25822136 0 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21266741 0.42264973 0 -0.49679008 0 0 -0.20680010 0 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.42264973 0.27203859 0 0 -0.23160365 0.42264973 0 -0.47367981 0 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0 -0.49017924 0 0.42264973 -0.20345256 0 0 -0.23812112 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::-0.23812112 0.42264973 0 -0.49017924 0 0 -0.20345256 0 0.42264973 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 
+DEAL::0.42264973 -0.20345256 0 0 -0.23812112 0.42264973 0 -0.49017924 0 
 DEAL::
 DEAL::3d inverse Jacobians:
-DEAL::1.0623 0 -1.0623 -0.0066 1.3019 -0.1668 0.3081 0.0411 1.9570 
-DEAL::1.0623 0 1.0623 0.0066 1.3019 -0.1668 -0.3081 0.0411 1.9570 
-DEAL::1.1777 0.0023 0.0544 0 0.8966 -0.8966 -0.0189 0.3813 1.7000 
-DEAL::1.1777 -0.0023 0.0544 0 0.8966 0.8966 -0.0189 -0.3813 1.7000 
-DEAL::0.6375 0.0002 -0.0680 0.0000 0.5872 0.0314 0.0680 -0.0232 0.5986 
-DEAL::2.3660 0 -0.3353 0 2.3660 0.1420 0 0 1.8549 
-DEAL::0.8966 0.8966 0 -1.7000 0.3813 -0.0189 -0.0544 0.0023 1.1777 
-DEAL::-0.8966 0.8966 0 -1.7000 -0.3813 -0.0189 -0.0544 -0.0023 1.1777 
-DEAL::-0.0314 0.5872 0.0000 -0.5986 -0.0232 0.0680 0.0680 0.0002 0.6375 
-DEAL::0.3790 2.3660 0 -1.8549 0 0 -0.1256 0 2.3660 
-DEAL::0.1668 1.3019 -0.0066 -1.9570 0.0411 0.3081 1.0623 0 1.0623 
-DEAL::0.1668 1.3019 0.0066 -1.9570 0.0411 -0.3081 -1.0623 0 1.0623 
-DEAL::0.8966 0 0.8966 0.3813 -0.0189 -1.7000 0.0023 1.1777 -0.0544 
-DEAL::1.0545 0 -1.0545 -0.3059 0.0411 -1.9592 0.0050 1.3019 0.1684 
-DEAL::0.5872 0.0000 -0.0314 -0.0232 0.0680 -0.5986 0.0002 0.6375 0.0680 
-DEAL::2.3660 0 0.3790 0 0 -1.8549 0 2.3660 -0.1256 
-DEAL::1.3019 -0.0066 0.1668 0.0411 0.3081 -1.9570 0 1.0623 1.0623 
-DEAL::1.3019 0.0066 0.1668 0.0411 -0.3081 -1.9570 0 1.0623 -1.0623 
-DEAL::0.5986 0.0680 -0.0232 -0.0680 0.6375 0.0002 0.0314 0.0000 0.5872 
-DEAL::1.8549 0 0 -0.3353 2.3660 0 0.1420 0 2.3660 
-DEAL::1.9570 0.3081 0.0411 -1.0623 1.0623 0 -0.1668 -0.0066 1.3019 
-DEAL::1.9570 -0.3081 0.0411 1.0623 1.0623 0 -0.1668 0.0066 1.3019 
-DEAL::1.9592 0.0411 0.3059 -0.1684 1.3019 -0.0050 -1.0545 0 1.0545 
-DEAL::1.7000 -0.0189 -0.3813 0.0544 1.1777 -0.0023 0.8966 0 0.8966 
-DEAL::1.0545 -1.0545 0 0.3059 1.9592 0.0411 -0.0050 -0.1684 1.3019 
-DEAL::0.8966 0.8966 0 -0.3813 1.7000 -0.0189 -0.0023 0.0544 1.1777 
-DEAL::0.5872 0.0314 0.0000 -0.0232 0.5986 0.0680 0.0002 -0.0680 0.6375 
-DEAL::2.3660 0.1420 0 0 1.8549 0 0 -0.3353 2.3660 
-DEAL::1.1777 0.0543 0.0024 -0.0189 1.6994 0.3819 0 -0.8981 0.8981 
-DEAL::1.3019 -0.1668 0.0066 0.0411 1.9570 -0.3081 0 1.0623 1.0623 
-DEAL::0.0680 -0.5986 -0.0232 0.6375 0.0680 0.0002 0.0000 -0.0314 0.5872 
-DEAL::0 -1.8549 0 2.3660 -0.1256 0 0 0.3790 2.3660 
-DEAL::0.3081 -1.9570 0.0411 1.0623 1.0623 0 -0.0066 0.1668 1.3019 
-DEAL::-0.3819 -1.6994 -0.0189 0.8981 -0.8981 0 -0.0024 -0.0543 1.1777 
-DEAL::-0.0189 -1.7000 0.3813 1.1777 -0.0544 0.0023 0 0.8966 0.8966 
-DEAL::0.0411 -1.9592 -0.3059 1.3019 0.1684 0.0050 0 -1.0545 1.0545 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.0849 0 0 -1.2674 2.3660 0 -1.0966 0 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.3660 -1.0966 0 0 2.0849 0 0 -1.2674 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.3660 0 -1.2674 0 2.3660 -1.0966 0 0 2.0849 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::1.3621 2.3660 0 -2.0849 0 0 1.0199 0 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.3660 1.2378 0 0 2.1111 0 0 -1.2703 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.3660 0 0.9027 0 2.3660 -1.1048 0 0 2.0129 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.0129 0 0 0.9027 2.3660 0 -1.1048 0 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::0 -2.0849 0 2.3660 1.0199 0 0 1.3621 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.3660 0 -1.2703 0 2.3660 1.2378 0 0 2.1111 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::-0.9849 2.3660 0 -2.0129 0 0 1.0129 0 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::0 -2.1111 0 2.3660 -1.1569 0 0 1.3588 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.3660 0 0.9052 0 2.3660 1.2464 0 0 2.0401 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.1111 0 0 -1.2703 2.3660 0 1.2378 0 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.3660 -1.1048 0 0 2.0129 0 0 0.9027 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.3660 0 1.3621 0 0 -2.0849 0 2.3660 1.0199 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::1.3588 2.3660 0 -2.1111 0 0 -1.1569 0 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.3660 1.2464 0 0 2.0401 0 0 0.9052 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.3660 0 -0.9849 0 0 -2.0129 0 2.3660 1.0129 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.0401 0 0 0.9052 2.3660 0 1.2464 0 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::0 -2.0129 0 2.3660 1.0129 0 0 -0.9849 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.3660 0 1.3588 0 0 -2.1111 0 2.3660 -1.1569 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::-0.9820 2.3660 0 -2.0401 0 0 -1.1494 0 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::0 -2.0401 0 2.3660 -1.1494 0 0 -0.9820 2.3660 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::4.7321 0 0 0 4.7321 0 0 0 4.7321 
-DEAL::2.3660 0 -0.9820 0 0 -2.0401 0 2.3660 -1.1494 
+DEAL::1.06233372 0 -1.06233372 -0.00657316 1.30193488 -0.16678741 0.30812381 0.04114567 1.95702733 
+DEAL::1.06233372 0 1.06233372 0.00657316 1.30193488 -0.16678741 -0.30812381 0.04114567 1.95702733 
+DEAL::1.17770835 0.00230150 0.05442195 0 0.89660927 -0.89660927 -0.01891314 0.38126200 1.70000893 
+DEAL::1.17770835 -0.00230150 0.05442195 0 0.89660927 0.89660927 -0.01891314 -0.38126200 1.70000893 
+DEAL::0.63754862 0.00023014 -0.06802816 0.00003928 0.58723492 0.03137932 0.06799746 -0.02318770 0.59861565 
+DEAL::2.36602540 0 -0.33533464 0 2.36602540 0.14196671 0 0 1.85491639 
+DEAL::0.89660927 0.89660927 0 -1.70000893 0.38126200 -0.01891314 -0.05442195 0.00230150 1.17770835 
+DEAL::-0.89660927 0.89660927 0 -1.70000893 -0.38126200 -0.01891314 -0.05442195 -0.00230150 1.17770835 
+DEAL::-0.03137932 0.58723492 0.00003928 -0.59861565 -0.02318770 0.06799746 0.06802816 0.00023014 0.63754862 
+DEAL::0.37899171 2.36602540 0 -1.85491639 0 0 -0.12559531 0 2.36602540 
+DEAL::0.16678741 1.30193488 -0.00657316 -1.95702733 0.04114567 0.30812381 1.06233372 0 1.06233372 
+DEAL::0.16678741 1.30193488 0.00657316 -1.95702733 0.04114567 -0.30812381 -1.06233372 0 1.06233372 
+DEAL::0.89660927 0 0.89660927 0.38126200 -0.01891314 -1.70000893 0.00230150 1.17770835 -0.05442195 
+DEAL::1.05454962 0 -1.05454962 -0.30591432 0.04114567 -1.95923683 0.00499864 1.30193488 0.16836194 
+DEAL::0.58723492 0.00003928 -0.03137932 -0.02318770 0.06799746 -0.59861565 0.00023014 0.63754862 0.06802816 
+DEAL::2.36602540 0 0.37899171 0 0 -1.85491639 0 2.36602540 -0.12559531 
+DEAL::1.30193488 -0.00657316 0.16678741 0.04114567 0.30812381 -1.95702733 0 1.06233372 1.06233372 
+DEAL::1.30193488 0.00657316 0.16678741 0.04114567 -0.30812381 -1.95702733 0 1.06233372 -1.06233372 
+DEAL::0.59861565 0.06799746 -0.02318770 -0.06802816 0.63754862 0.00023014 0.03137932 0.00003928 0.58723492 
+DEAL::1.85491639 0 0 -0.33533464 2.36602540 0 0.14196671 0 2.36602540 
+DEAL::1.95702733 0.30812381 0.04114567 -1.06233372 1.06233372 0 -0.16678741 -0.00657316 1.30193488 
+DEAL::1.95702733 -0.30812381 0.04114567 1.06233372 1.06233372 0 -0.16678741 0.00657316 1.30193488 
+DEAL::1.95923683 0.04114567 0.30591432 -0.16836194 1.30193488 -0.00499864 -1.05454962 0 1.05454962 
+DEAL::1.70000893 -0.01891314 -0.38126200 0.05442195 1.17770835 -0.00230150 0.89660927 0 0.89660927 
+DEAL::1.05454962 -1.05454962 0 0.30591432 1.95923683 0.04114567 -0.00499864 -0.16836194 1.30193488 
+DEAL::0.89660927 0.89660927 0 -0.38126200 1.70000893 -0.01891314 -0.00230150 0.05442195 1.17770835 
+DEAL::0.58723492 0.03137932 0.00003928 -0.02318770 0.59861565 0.06799746 0.00023014 -0.06802816 0.63754862 
+DEAL::2.36602540 0.14196671 0 0 1.85491639 0 0 -0.33533464 2.36602540 
+DEAL::1.17770835 0.05429765 0.00242580 -0.01891314 1.69936136 0.38190957 0 -0.89813671 0.89813671 
+DEAL::1.30193488 -0.16678741 0.00657316 0.04114567 1.95702733 -0.30812381 0 1.06233372 1.06233372 
+DEAL::0.06799746 -0.59861565 -0.02318770 0.63754862 0.06802816 0.00023014 0.00003928 -0.03137932 0.58723492 
+DEAL::0 -1.85491639 0 2.36602540 -0.12559531 0 0 0.37899171 2.36602540 
+DEAL::0.30812381 -1.95702733 0.04114567 1.06233372 1.06233372 0 -0.00657316 0.16678741 1.30193488 
+DEAL::-0.38190957 -1.69936136 -0.01891314 0.89813671 -0.89813671 0 -0.00242580 -0.05429765 1.17770835 
+DEAL::-0.01891314 -1.70000893 0.38126200 1.17770835 -0.05442195 0.00230150 0 0.89660927 0.89660927 
+DEAL::0.04114567 -1.95923683 -0.30591432 1.30193488 0.16836194 0.00499864 0 -1.05454962 1.05454962 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.08488766 0 0 -1.26740939 2.36602540 0 -1.09662275 0 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.36602540 -1.09662275 0 0 2.08488766 0 0 -1.26740939 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.36602540 0 -1.26740939 0 2.36602540 -1.09662275 0 0 2.08488766 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::1.36213110 2.36602540 0 -2.08488766 0 0 1.01986550 0 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.36602540 1.23775345 0 0 2.11113071 0 0 -1.27030225 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.36602540 0 0.90272038 0 2.36602540 -1.10483122 0 0 2.01292265 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.01292265 0 0 0.90272038 2.36602540 0 -1.10483122 0 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::0 -2.08488766 0 2.36602540 1.01986550 0 0 1.36213110 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.36602540 0 -1.27030225 0 2.36602540 1.23775345 0 0 2.11113071 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::-0.98491156 2.36602540 0 -2.01292265 0 0 1.01285538 0 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::0 -2.11113071 0 2.36602540 -1.15685766 0 0 1.35882972 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.36602540 0 0.90515195 0 2.36602540 1.24639776 0 0 2.04007008 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.11113071 0 0 -1.27030225 2.36602540 0 1.23775345 0 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.36602540 -1.10483122 0 0 2.01292265 0 0 0.90272038 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.36602540 0 1.36213110 0 0 -2.08488766 0 2.36602540 1.01986550 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::1.35882972 2.36602540 0 -2.11113071 0 0 -1.15685766 0 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.36602540 1.24639776 0 0 2.04007008 0 0 0.90515195 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.36602540 0 -0.98491156 0 0 -2.01292265 0 2.36602540 1.01285538 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.04007008 0 0 0.90515195 2.36602540 0 1.24639776 0 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::0 -2.01292265 0 2.36602540 1.01285538 0 0 -0.98491156 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.36602540 0 1.35882972 0 0 -2.11113071 0 2.36602540 -1.15685766 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::-0.98203654 2.36602540 0 -2.04007008 0 0 -1.14937673 0 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::0 -2.04007008 0 2.36602540 -1.14937673 0 0 -0.98203654 2.36602540 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 
+DEAL::2.36602540 0 -0.98203654 0 0 -2.04007008 0 2.36602540 -1.14937673 
+DEAL::
+DEAL::3d Jacobian gradients:
+DEAL::-0.02643148 0.03004810 -0.89081368 0.03004810 0.17397969 0.04885453 -0.89081368 0.04885453 -0.28361854 0.02453591 0.15443348 0.04296177 0.15443348 -0.00099692 -0.73298331 0.04296177 -0.73298331 -0.02018433 0.25564696 -0.02682012 0.49985198 -0.02682012 0.17397969 0.04885453 0.49985198 0.04885453 -0.28361854 
+DEAL::0.02643148 0.03004810 -0.89081368 0.03004810 -0.17397969 -0.04885453 -0.89081368 -0.04885453 0.28361854 0.02453591 -0.15443348 -0.04296177 -0.15443348 -0.00099692 -0.73298331 -0.04296177 -0.73298331 -0.02018433 0.25564696 0.02682012 -0.49985198 0.02682012 0.17397969 0.04885453 -0.49985198 0.04885453 -0.28361854 
+DEAL::-0.00108887 0.25526554 -0.77077242 0.25526554 -0.01531514 -0.03142155 -0.77077242 -0.03142155 0.01298562 0.25709041 -0.01610367 -0.02751667 -0.01610367 0.00125264 -0.68284691 -0.02751667 -0.68284691 -0.40415342 0.25709041 0.01823272 -0.02751667 0.01823272 0.40848276 0.89271996 -0.02751667 0.89271996 -0.40415342 
+DEAL::-0.00108887 -0.25526554 -0.77077242 -0.25526554 -0.01531514 0.03142155 -0.77077242 0.03142155 0.01298562 -0.25709041 -0.01610367 0.02751667 -0.01610367 -0.00125264 -0.68284691 0.02751667 -0.68284691 0.40415342 0.25709041 -0.01823272 -0.02751667 -0.01823272 0.40848276 -0.89271996 -0.02751667 -0.89271996 -0.40415342 
+DEAL::0.28729173 -0.07826379 -2.15979794 -0.07826379 0.21112596 -0.02143230 -2.15979794 -0.02143230 -0.31127040 -0.11604872 0.30841953 -0.03628009 0.30841953 -0.21360499 -2.92366182 -0.03628009 -2.92366182 0.18660499 2.19599189 0.02244116 0.59482489 0.02244116 2.17027806 -0.22013128 0.59482489 -0.22013128 -3.09504876 
+DEAL::0 0 -0.94908266 0 0 -0.00325549 -0.94908266 -0.00325549 0.11251211 0 0 -0.00573181 0 0 -1.07652151 -0.00573181 -1.07652151 -0.07524420 0 0 0.07798633 0 0 -0.02888820 0.07798633 -0.02888820 0.87897774 
+DEAL::-0.40848276 -0.89271996 -0.01823272 -0.89271996 0.40415342 0.02751667 -0.01823272 0.02751667 -0.25709041 0.00125264 -0.68284691 -0.01610367 -0.68284691 -0.40415342 -0.02751667 -0.01610367 -0.02751667 0.25709041 -0.01531514 -0.03142155 0.25526554 -0.03142155 0.01298562 -0.77077242 0.25526554 -0.77077242 -0.00108887 
+DEAL::-0.40848276 0.89271996 0.01823272 0.89271996 0.40415342 0.02751667 0.01823272 0.02751667 -0.25709041 -0.00125264 -0.68284691 -0.01610367 -0.68284691 0.40415342 0.02751667 -0.01610367 0.02751667 -0.25709041 -0.01531514 0.03142155 -0.25526554 0.03142155 0.01298562 -0.77077242 -0.25526554 -0.77077242 -0.00108887 
+DEAL::-2.17027806 0.22013128 -0.02244116 0.22013128 3.09504876 -0.59482489 -0.02244116 -0.59482489 -2.19599189 -0.21360499 -2.92366182 0.30841953 -2.92366182 0.18660499 -0.03628009 0.30841953 -0.03628009 -0.11604872 0.21112596 -0.02143230 -0.07826379 -0.02143230 -0.31127040 -2.15979794 -0.07826379 -2.15979794 0.28729173 
+DEAL::0 -0.07798633 0 -0.07798633 -0.87897774 0.02888820 0 0.02888820 0 0 -1.06689191 0 -1.06689191 0.20048545 -0.00565150 0 -0.00565150 0 0 -0.00328170 0 -0.00328170 -0.04225420 -0.95307715 0 -0.95307715 0 
+DEAL::-0.17397969 -0.04885453 0.02682012 -0.04885453 0.28361854 -0.49985198 0.02682012 -0.49985198 -0.25564696 -0.00099692 -0.73298331 0.15443348 -0.73298331 -0.02018433 0.04296177 0.15443348 0.04296177 0.02453591 0.17397969 0.04885453 0.03004810 0.04885453 -0.28361854 -0.89081368 0.03004810 -0.89081368 -0.02643148 
+DEAL::-0.17397969 -0.04885453 -0.02682012 -0.04885453 0.28361854 0.49985198 -0.02682012 0.49985198 -0.25564696 -0.00099692 -0.73298331 -0.15443348 -0.73298331 -0.02018433 -0.04296177 -0.15443348 -0.04296177 0.02453591 -0.17397969 -0.04885453 0.03004810 -0.04885453 0.28361854 -0.89081368 0.03004810 -0.89081368 0.02643148 
+DEAL::0.00125264 -0.68284691 -0.01610367 -0.68284691 -0.40415342 -0.02751667 -0.01610367 -0.02751667 0.25709041 -0.01531514 -0.03142155 0.25526554 -0.03142155 0.01298562 -0.77077242 0.25526554 -0.77077242 -0.00108887 -0.40848276 -0.89271996 -0.01823272 -0.89271996 0.40415342 0.02751667 -0.01823272 0.02751667 -0.25709041 
+DEAL::0.06812144 -0.91562243 0.03461186 -0.91562243 0.28361854 -0.04885453 0.03461186 -0.04885453 -0.17397969 0.02675938 -0.04693117 -0.16759993 -0.04693117 -0.02018433 -0.73298331 -0.16759993 -0.73298331 -0.00099692 -0.25564696 0.49985198 -0.02682012 0.49985198 0.28361854 -0.04885453 -0.02682012 -0.04885453 -0.17397969 
+DEAL::-0.21360499 -2.92366182 0.30841953 -2.92366182 0.18660499 -0.03628009 0.30841953 -0.03628009 -0.11604872 0.21112596 -0.02143230 -0.07826379 -0.02143230 -0.31127040 -2.15979794 -0.07826379 -2.15979794 0.28729173 -2.17027806 0.22013128 -0.02244116 0.22013128 3.09504876 -0.59482489 -0.02244116 -0.59482489 -2.19599189 
+DEAL::0 -1.06689191 0 -1.06689191 0.20048545 -0.00565150 0 -0.00565150 0 0 -0.00328170 0 -0.00328170 -0.04225420 -0.95307715 0 -0.95307715 0 0 -0.07798633 0 -0.07798633 -0.87897774 0.02888820 0 0.02888820 0 
+DEAL::-0.00099692 -0.73298331 0.15443348 -0.73298331 -0.02018433 0.04296177 0.15443348 0.04296177 0.02453591 0.17397969 0.04885453 0.03004810 0.04885453 -0.28361854 -0.89081368 0.03004810 -0.89081368 -0.02643148 -0.17397969 -0.04885453 0.02682012 -0.04885453 0.28361854 -0.49985198 0.02682012 -0.49985198 -0.25564696 
+DEAL::-0.00099692 -0.73298331 -0.15443348 -0.73298331 -0.02018433 -0.04296177 -0.15443348 -0.04296177 0.02453591 -0.17397969 -0.04885453 0.03004810 -0.04885453 0.28361854 -0.89081368 0.03004810 -0.89081368 0.02643148 -0.17397969 -0.04885453 -0.02682012 -0.04885453 0.28361854 0.49985198 -0.02682012 0.49985198 -0.25564696 
+DEAL::-3.09504876 0.59482489 -0.22013128 0.59482489 2.19599189 0.02244116 -0.22013128 0.02244116 2.17027806 -0.31127040 -2.15979794 -0.02143230 -2.15979794 0.28729173 -0.07826379 -0.02143230 -0.07826379 0.21112596 0.18660499 -0.03628009 -2.92366182 -0.03628009 -0.11604872 0.30841953 -2.92366182 0.30841953 -0.21360499 
+DEAL::0.87897774 0.07798633 -0.02888820 0.07798633 0 0 -0.02888820 0 0 0.11251211 -0.94908266 -0.00325549 -0.94908266 0 0 -0.00325549 0 0 -0.07524420 -0.00573181 -1.07652151 -0.00573181 0 0 -1.07652151 0 0 
+DEAL::-0.28361854 0.49985198 0.04885453 0.49985198 0.25564696 -0.02682012 0.04885453 -0.02682012 0.17397969 -0.28361854 -0.89081368 0.04885453 -0.89081368 -0.02643148 0.03004810 0.04885453 0.03004810 0.17397969 -0.02018433 0.04296177 -0.73298331 0.04296177 0.02453591 0.15443348 -0.73298331 0.15443348 -0.00099692 
+DEAL::-0.28361854 -0.49985198 0.04885453 -0.49985198 0.25564696 0.02682012 0.04885453 0.02682012 0.17397969 0.28361854 -0.89081368 -0.04885453 -0.89081368 0.02643148 0.03004810 -0.04885453 0.03004810 -0.17397969 -0.02018433 -0.04296177 -0.73298331 -0.04296177 0.02453591 -0.15443348 -0.73298331 -0.15443348 -0.00099692 
+DEAL::-0.28361854 0.04885453 0.49985198 0.04885453 0.17397969 -0.02682012 0.49985198 -0.02682012 0.25564696 -0.02018433 -0.73298331 0.04693117 -0.73298331 -0.00099692 0.16759993 0.04693117 0.16759993 0.02675938 -0.28361854 0.04885453 -0.91562243 0.04885453 0.17397969 0.03461186 -0.91562243 0.03461186 -0.06812144 
+DEAL::-0.40415342 -0.02751667 -0.89271996 -0.02751667 0.25709041 -0.01823272 -0.89271996 -0.01823272 0.40848276 0.01298562 -0.77077242 0.03142155 -0.77077242 -0.00108887 -0.25526554 0.03142155 -0.25526554 -0.01531514 0.40415342 0.02751667 -0.68284691 0.02751667 -0.25709041 -0.01610367 -0.68284691 -0.01610367 -0.00125264 
+DEAL::-0.06812144 -0.91562243 0.03461186 -0.91562243 -0.28361854 0.04885453 0.03461186 0.04885453 0.17397969 0.25564696 0.49985198 -0.02682012 0.49985198 -0.28361854 0.04885453 -0.02682012 0.04885453 0.17397969 0.02675938 0.04693117 0.16759993 0.04693117 -0.02018433 -0.73298331 0.16759993 -0.73298331 -0.00099692 
+DEAL::-0.00125264 -0.68284691 -0.01610367 -0.68284691 0.40415342 0.02751667 -0.01610367 0.02751667 -0.25709041 0.40848276 -0.89271996 -0.01823272 -0.89271996 -0.40415342 -0.02751667 -0.01823272 -0.02751667 0.25709041 -0.01531514 0.03142155 -0.25526554 0.03142155 0.01298562 -0.77077242 -0.25526554 -0.77077242 -0.00108887 
+DEAL::-0.21360499 -2.92366182 0.30841953 -2.92366182 0.18660499 -0.03628009 0.30841953 -0.03628009 -0.11604872 2.17027806 -0.22013128 0.02244116 -0.22013128 -3.09504876 0.59482489 0.02244116 0.59482489 2.19599189 0.21112596 -0.02143230 -0.07826379 -0.02143230 -0.31127040 -2.15979794 -0.07826379 -2.15979794 0.28729173 
+DEAL::0 -1.07652151 0 -1.07652151 -0.07524420 -0.00573181 0 -0.00573181 0 0 -0.02888820 0 -0.02888820 0.87897774 0.07798633 0 0.07798633 0 0 -0.00325549 0 -0.00325549 0.11251211 -0.94908266 0 -0.94908266 0 
+DEAL::-0.00108887 -0.77077242 0.25149939 -0.77077242 0.01298562 -0.03948038 0.25149939 -0.03948038 -0.01508752 0.25709041 -0.02751667 0.01823272 -0.02751667 -0.40415342 0.89271996 0.01823272 0.89271996 0.40848276 0.25709041 -0.02751667 -0.01564680 -0.02751667 -0.40415342 -0.81716081 -0.01564680 -0.81716081 0.01263333 
+DEAL::-0.00099692 -0.73298331 -0.15443348 -0.73298331 -0.02018433 -0.04296177 -0.15443348 -0.04296177 0.02453591 0.17397969 0.04885453 0.02682012 0.04885453 -0.28361854 -0.49985198 0.02682012 -0.49985198 0.25564696 -0.17397969 -0.04885453 0.03004810 -0.04885453 0.28361854 -0.89081368 0.03004810 -0.89081368 0.02643148 
+DEAL::-0.31127040 -2.15979794 -0.02143230 -2.15979794 0.28729173 -0.07826379 -0.02143230 -0.07826379 0.21112596 3.09504876 -0.59482489 0.22013128 -0.59482489 -2.19599189 -0.02244116 0.22013128 -0.02244116 -2.17027806 0.18660499 -0.03628009 -2.92366182 -0.03628009 -0.11604872 0.30841953 -2.92366182 0.30841953 -0.21360499 
+DEAL::-0.04225420 -0.95307715 -0.00328170 -0.95307715 0 0 -0.00328170 0 0 -0.87897774 0.02888820 -0.07798633 0.02888820 0 0 -0.07798633 0 0 0.20048545 -0.00565150 -1.06689191 -0.00565150 0 0 -1.06689191 0 0 
+DEAL::-0.28361854 -0.89081368 0.04885453 -0.89081368 -0.02643148 0.03004810 0.04885453 0.03004810 0.17397969 0.28361854 -0.49985198 -0.04885453 -0.49985198 -0.25564696 0.02682012 -0.04885453 0.02682012 -0.17397969 -0.02018433 0.04296177 -0.73298331 0.04296177 0.02453591 0.15443348 -0.73298331 0.15443348 -0.00099692 
+DEAL::0.40415342 -0.81716081 0.02751667 -0.81716081 -0.01263333 -0.01564680 0.02751667 -0.01564680 -0.25709041 0.40415342 0.89271996 0.02751667 0.89271996 -0.40848276 0.01823272 0.02751667 0.01823272 -0.25709041 0.01298562 0.03948038 -0.77077242 0.03948038 -0.01508752 -0.25149939 -0.77077242 -0.25149939 -0.00108887 
+DEAL::0.01298562 -0.77077242 -0.03142155 -0.77077242 -0.00108887 0.25526554 -0.03142155 0.25526554 -0.01531514 0.40415342 0.02751667 -0.89271996 0.02751667 -0.25709041 -0.01823272 -0.89271996 -0.01823272 -0.40848276 -0.40415342 -0.02751667 -0.68284691 -0.02751667 0.25709041 -0.01610367 -0.68284691 -0.01610367 0.00125264 
+DEAL::-0.02018433 -0.73298331 -0.04693117 -0.73298331 -0.00099692 -0.16759993 -0.04693117 -0.16759993 0.02675938 0.28361854 -0.04885453 0.49985198 -0.04885453 -0.17397969 -0.02682012 0.49985198 -0.02682012 -0.25564696 0.28361854 -0.04885453 -0.91562243 -0.04885453 -0.17397969 0.03461186 -0.91562243 0.03461186 0.06812144 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0.54605963 0.24864496 0.18681987 0.24864496 0 0 0.18681987 0 0 0.26637736 -0.81608670 0.08192707 -0.81608670 0 0 0.08192707 0 0 0.35602618 0.14023479 -0.86572412 0.14023479 0 0 -0.86572412 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 -0.86572412 0 -0.86572412 0.35602618 0.14023479 0 0.14023479 0 0 0.18681987 0 0.18681987 0.54605963 0.24864496 0 0.24864496 0 0 0.08192707 0 0.08192707 0.26637736 -0.81608670 0 -0.81608670 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 -0.81608670 0 0 0.08192707 -0.81608670 0.08192707 0.26637736 0 0 0.14023479 0 0 -0.86572412 0.14023479 -0.86572412 0.35602618 0 0 0.24864496 0 0 0.18681987 0.24864496 0.18681987 0.54605963 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 -0.24864496 0 -0.24864496 -0.54605963 -0.18681987 0 -0.18681987 0 0 -0.81516872 0 -0.81516872 0.43619691 0.12826238 0 0.12826238 0 0 0.08583479 0 0.08583479 0.21841379 -0.83705776 0 -0.83705776 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 -0.83302117 0 -0.83302117 -0.37593015 -0.15112370 0 -0.15112370 0 0 -0.21066921 0 -0.21066921 0.51414291 0.23924169 0 0.23924169 0 0 -0.09238584 0 -0.09238584 0.25313802 -0.80957560 0 -0.80957560 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 -0.86594085 0 0 -0.06324646 -0.86594085 -0.06324646 -0.22375384 0 0 -0.10154933 0 0 -0.89343917 -0.10154933 -0.89343917 0.42019831 0 0 -0.18005325 0 0 0.20713957 -0.18005325 0.20713957 0.64046101 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0.64046101 -0.18005325 0.20713957 -0.18005325 0 0 0.20713957 0 0 -0.22375384 -0.86594085 -0.06324646 -0.86594085 0 0 -0.06324646 0 0 0.42019831 -0.10154933 -0.89343917 -0.10154933 0 0 -0.89343917 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0.21841379 -0.83705776 0.08583479 -0.83705776 0 0 0.08583479 0 0 -0.54605963 -0.18681987 -0.24864496 -0.18681987 0 0 -0.24864496 0 0 0.43619691 0.12826238 -0.81516872 0.12826238 0 0 -0.81516872 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 -0.80957560 0 0 -0.09238584 -0.80957560 -0.09238584 0.25313802 0 0 -0.15112370 0 0 -0.83302117 -0.15112370 -0.83302117 -0.37593015 0 0 0.23924169 0 0 -0.21066921 0.23924169 -0.21066921 0.51414291 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0.18005325 0 0.18005325 -0.64046101 -0.20713957 0 -0.20713957 0 0 -0.91291723 0 -0.91291723 -0.37637647 -0.10488959 0 -0.10488959 0 0 -0.06215622 0 -0.06215622 0.24940632 -0.85786109 0 -0.85786109 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::-0.23270093 -0.81965260 -0.09450329 -0.81965260 0 0 -0.09450329 0 0 -0.51414291 0.21066921 -0.23924169 0.21066921 0 0 -0.23924169 0 0 0.40987944 -0.14463630 -0.80872832 -0.14463630 0 0 -0.80872832 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 -0.85764253 0 0 0.07132048 -0.85764253 0.07132048 -0.21306033 0 0 0.10943440 0 0 -0.85526057 0.10943440 -0.85526057 -0.44401686 0 0 -0.17324398 0 0 -0.23358292 -0.17324398 -0.23358292 0.60371825 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0.51414291 0.23924169 -0.21066921 0.23924169 0 0 -0.21066921 0 0 0.25313802 -0.80957560 -0.09238584 -0.80957560 0 0 -0.09238584 0 0 -0.37593015 -0.15112370 -0.83302117 -0.15112370 0 0 -0.83302117 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 -0.89343917 0 -0.89343917 0.42019831 -0.10154933 0 -0.10154933 0 0 0.20713957 0 0.20713957 0.64046101 -0.18005325 0 -0.18005325 0 0 -0.06324646 0 -0.06324646 -0.22375384 -0.86594085 0 -0.86594085 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 -0.81516872 0 -0.81516872 0.43619691 0.12826238 0 0.12826238 0 0 0.08583479 0 0.08583479 0.21841379 -0.83705776 0 -0.83705776 0 0 -0.24864496 0 -0.24864496 -0.54605963 -0.18681987 0 -0.18681987 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 -0.23924169 0 -0.23924169 -0.51414291 0.21066921 0 0.21066921 0 0 -0.80872832 0 -0.80872832 0.40987944 -0.14463630 0 -0.14463630 0 0 -0.09450329 0 -0.09450329 -0.23270093 -0.81965260 0 -0.81965260 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 -0.85526057 0 -0.85526057 -0.44401686 0.10943440 0 0.10943440 0 0 -0.23358292 0 -0.23358292 0.60371825 -0.17324398 0 -0.17324398 0 0 0.07132048 0 0.07132048 -0.21306033 -0.85764253 0 -0.85764253 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 -0.91291723 0 -0.91291723 -0.37637647 -0.10488959 0 -0.10488959 0 0 -0.06215622 0 -0.06215622 0.24940632 -0.85786109 0 -0.85786109 0 0 0.18005325 0 0.18005325 -0.64046101 -0.20713957 0 -0.20713957 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0.60371825 -0.17324398 -0.23358292 -0.17324398 0 0 -0.23358292 0 0 -0.21306033 -0.85764253 0.07132048 -0.85764253 0 0 0.07132048 0 0 -0.44401686 0.10943440 -0.85526057 0.10943440 0 0 -0.85526057 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0.24940632 -0.85786109 -0.06215622 -0.85786109 0 0 -0.06215622 0 0 -0.64046101 -0.20713957 0.18005325 -0.20713957 0 0 0.18005325 0 0 -0.37637647 -0.10488959 -0.91291723 -0.10488959 0 0 -0.91291723 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 -0.80872832 0 -0.80872832 0.40987944 -0.14463630 0 -0.14463630 0 0 -0.09450329 0 -0.09450329 -0.23270093 -0.81965260 0 -0.81965260 0 0 -0.23924169 0 -0.23924169 -0.51414291 0.21066921 0 0.21066921 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0.17324398 0 0.17324398 -0.60371825 0.23358292 0 0.23358292 0 0 -0.90100117 0 -0.90100117 -0.35392919 0.11827975 0 0.11827975 0 0 0.06843342 0 0.06843342 -0.26625377 -0.83866871 0 -0.83866871 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::-0.26625377 -0.83866871 0.06843342 -0.83866871 0 0 0.06843342 0 0 -0.60371825 0.23358292 0.17324398 0.23358292 0 0 0.17324398 0 0 -0.35392919 0.11827975 -0.90100117 0.11827975 0 0 -0.90100117 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
+DEAL::0 -0.90100117 0 -0.90100117 -0.35392919 0.11827975 0 0.11827975 0 0 0.06843342 0 0.06843342 -0.26625377 -0.83866871 0 -0.83866871 0 0 0.17324398 0 0.17324398 -0.60371825 0.23358292 0 0.23358292 0 
 DEAL::

diff --git a/tests/fe/jacobians_face_cartesian.cc b/tests/fe/jacobians_face_cartesian.cc
index 98611f4fb63a6f6f09289756dcdeb8a069b110ed..56d4c5e5569fd5357c07dfd28f116bb04b13e2eb 100644 (file)
--- a/tests/fe/jacobians_face_cartesian.cc
+++ b/tests/fe/jacobians_face_cartesian.cc
@@ -14,9 +14,9 @@
 // ---------------------------------------------------------------------
 
 
-// Show the Jacobians and inverse Jacobians of FEFaceValues and
-// FESubfaceValues on a Cartesian mesh with MappingCartesian with one
-// quadrature point
+// Show the Jacobians, inverse Jacobians, and Jacobian gradients of
+// FEFaceValues and FESubfaceValues on a Cartesian mesh with MappingCartesian
+// with one quadrature point
 
 #include "../tests.h"
 #include <deal.II/base/quadrature_lib.h>
@@ -44,9 +44,11 @@ void test()
     quad_p(d) = 0.42 + 0.11 * d;
   Quadrature<dim-1> quad(quad_p);
   FEFaceValues<dim> fe_val (mapping, dummy, quad,
-                            update_jacobians | update_inverse_jacobians);
+                            update_jacobians | update_inverse_jacobians |
+                            update_jacobian_grads);
   FESubfaceValues<dim> fe_sub_val (mapping, dummy, quad,
-                                   update_jacobians | update_inverse_jacobians);
+                                   update_jacobians | update_inverse_jacobians |
+                                   update_jacobian_grads);
   deallog << dim << "d Jacobians:" << std::endl;
   typename Triangulation<dim>::active_cell_iterator
   cell = tria.begin_active(), endc = tria.end();
@@ -103,6 +105,36 @@ void test()
 
     }
   deallog << std::endl;
+
+  deallog << dim << "d Jacobian gradients:" << std::endl;
+  cell = tria.begin_active();
+  endc = tria.end();
+  for ( ; cell != endc; ++cell)
+    for (unsigned int f=0; f<GeometryInfo<dim>::faces_per_cell; ++f)
+      {
+        fe_val.reinit (cell, f);
+
+        for (unsigned int d=0; d<dim; ++d)
+          for (unsigned int e=0; e<dim; ++e)
+            for (unsigned int f=0; f<dim; ++f)
+              deallog << fe_val.jacobian_grad(0)[d][e][f] << " ";
+        deallog << std::endl;
+
+        // Also check the Jacobian with FESubfaceValues
+        if (cell->at_boundary(f) == false &&
+            cell->neighbor(f)->level() < cell->level())
+          {
+            fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f),
+                              cell->neighbor_of_coarser_neighbor(f).second);
+
+            for (unsigned int d=0; d<dim; ++d)
+              for (unsigned int e=0; e<dim; ++e)
+                for (unsigned int f=0; f<dim; ++f)
+                  deallog << fe_sub_val.jacobian_grad(0)[d][e][f] << " ";
+            deallog << std::endl;
+          }
+      }
+  deallog << std::endl;
 }
 
 
@@ -110,7 +142,7 @@ int
 main()
 {
   std::ofstream logfile ("output");
-  deallog << std::setprecision(4) << std::fixed;
+  deallog << std::setprecision(8) << std::fixed;
   deallog.attach(logfile);
   deallog.depth_console(0);
   deallog.threshold_double(1.e-10);

diff --git a/tests/fe/jacobians_face_cartesian.output b/tests/fe/jacobians_face_cartesian.output
index 7df785fb1b6c8ca00344fd6235c3d141d96c6a9f..b0bd9c32f3653f2a0e01977f84966773e6b99529 100644 (file)
--- a/tests/fe/jacobians_face_cartesian.output
+++ b/tests/fe/jacobians_face_cartesian.output
@@ -1,277 +1,415 @@
 
 DEAL::2d Jacobians:
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.5000 0 0 0.5000 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.2500 0 0 0.2500 
-DEAL::0.5000 0 0 0.5000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.50000000 0 0 0.50000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.25000000 0 0 0.25000000 
+DEAL::0.50000000 0 0 0.50000000 
 DEAL::
 DEAL::2d inverse Jacobians:
-DEAL::2.0000 0 0 2.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::2.0000 0 0 2.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::4.0000 0 0 4.0000 
-DEAL::2.0000 0 0 2.0000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::4.00000000 0 0 4.00000000 
+DEAL::2.00000000 0 0 2.00000000 
+DEAL::
+DEAL::2d Jacobian gradients:
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
+DEAL::0 0 0 0 0 0 0 0 
 DEAL::
 DEAL::3d Jacobians:
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.2500 0 0 0 0.2500 0 0 0 0.2500 
-DEAL::0.5000 0 0 0 0.5000 0 0 0 0.5000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
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+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
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+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
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+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
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+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.25000000 0 0 0 0.25000000 0 0 0 0.25000000 
+DEAL::0.25000000 0 0 0 0.25000000 0 0 0 0.25000000 
+DEAL::0.25000000 0 0 0 0.25000000 0 0 0 0.25000000 
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+DEAL::0.25000000 0 0 0 0.25000000 0 0 0 0.25000000 
+DEAL::0.25000000 0 0 0 0.25000000 0 0 0 0.25000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.25000000 0 0 0 0.25000000 0 0 0 0.25000000 
+DEAL::0.25000000 0 0 0 0.25000000 0 0 0 0.25000000 
+DEAL::0.25000000 0 0 0 0.25000000 0 0 0 0.25000000 
+DEAL::0.25000000 0 0 0 0.25000000 0 0 0 0.25000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
+DEAL::0.25000000 0 0 0 0.25000000 0 0 0 0.25000000 
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+DEAL::0.25000000 0 0 0 0.25000000 0 0 0 0.25000000 
+DEAL::0.50000000 0 0 0 0.50000000 0 0 0 0.50000000 
 DEAL::
 DEAL::3d inverse Jacobians:
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::4.0000 0 0 0 4.0000 0 0 0 4.0000 
-DEAL::2.0000 0 0 0 2.0000 0 0 0 2.0000 
+DEAL::2.00000000 0 0 0 2.00000000 0 0 0 2.00000000 
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