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Test case of inverse shape values field 9157/head
authorMartin Kronbichler <kronbichler@lnm.mw.tum.de>
Mon, 9 Dec 2019 11:51:37 +0000 (12:51 +0100)
committerMartin Kronbichler <kronbichler@lnm.mw.tum.de>
Mon, 9 Dec 2019 12:05:15 +0000 (13:05 +0100)
tests/matrix_free/shape_info_inverse.cc [new file with mode: 0644] patch | blob
tests/matrix_free/shape_info_inverse.output [new file with mode: 0644] patch | blob

diff --git a/tests/matrix_free/shape_info_inverse.cc b/tests/matrix_free/shape_info_inverse.cc
new file mode 100644 (file)
index 0000000..be98ff8
--- /dev/null
+++ b/tests/matrix_free/shape_info_inverse.cc
@@ -0,0 +1,122 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2019 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+
+// test the correctness of the inverse_shape_values field of
+// internal::MatrixFreeFunctions::ShapeInfo
+
+#include <deal.II/fe/fe_dgq.h>
+#include <deal.II/fe/fe_q.h>
+
+#include <deal.II/lac/full_matrix.h>
+
+#include <deal.II/matrix_free/shape_info.h>
+
+#include <iostream>
+
+#include "../tests.h"
+
+std::ofstream logfile("output");
+
+
+template <int dim>
+void
+test(const FiniteElement<dim> &fe,
+     const Quadrature<1> &     quad,
+     const std::string &       quadrature_name)
+{
+  internal::MatrixFreeFunctions::ShapeInfo<double> shape_info;
+  shape_info.reinit(quad, fe, 0);
+  deallog << "Testing " << fe.get_name() << " with " << quadrature_name << "("
+          << quad.size() << ")" << std::endl;
+  deallog << "shape values: " << std::endl;
+  for (unsigned int i = 0; i < shape_info.fe_degree + 1; ++i)
+    {
+      for (unsigned int q = 0; q < quad.size(); ++q)
+        deallog << std::setw(15) << shape_info.shape_values[i * quad.size() + q]
+                << " ";
+      deallog << std::endl;
+    }
+  deallog << "inverse shape values: " << std::endl;
+  for (unsigned int i = 0; i < shape_info.fe_degree + 1; ++i)
+    {
+      for (unsigned int q = 0; q < quad.size(); ++q)
+        deallog << std::setw(15)
+                << shape_info.inverse_shape_values[i * quad.size() + q] << " ";
+      deallog << std::endl;
+    }
+  deallog << "inverse shapes' * shapes: " << std::endl;
+  for (unsigned int i = 0; i < quad.size(); ++i)
+    {
+      for (unsigned int j = 0; j < quad.size(); ++j)
+        {
+          double sum = 0;
+          for (unsigned int k = 0; k < shape_info.fe_degree + 1; ++k)
+            sum += shape_info.inverse_shape_values[k * quad.size() + i] *
+                   shape_info.shape_values[k * quad.size() + j];
+          deallog << std::setw(15) << sum << " ";
+        }
+      deallog << std::endl;
+    }
+  deallog << "inverse shapes * shapes': " << std::endl;
+  for (unsigned int i = 0; i < shape_info.fe_degree + 1; ++i)
+    {
+      for (unsigned int j = 0; j < shape_info.fe_degree + 1; ++j)
+        {
+          double sum = 0;
+          for (unsigned int k = 0; k < quad.size(); ++k)
+            sum += shape_info.inverse_shape_values[i * quad.size() + k] *
+                   shape_info.shape_values[j * quad.size() + k];
+          deallog << std::setw(15) << sum << " ";
+        }
+      deallog << std::endl;
+    }
+}
+
+
+int
+main()
+{
+  initlog();
+  deallog << std::setprecision(9);
+  test(FE_DGQ<1>(1), QGauss<1>(2), "QGauss");
+  test(FE_DGQ<1>(1), QGauss<1>(3), "QGauss");
+  test(FE_DGQ<1>(3), QGauss<1>(2), "QGauss");
+  test(FE_DGQ<1>(3), QGauss<1>(4), "QGauss");
+  test(FE_DGQ<1>(3), QGauss<1>(5), "QGauss");
+  test(FE_DGQ<1>(8), QGauss<1>(7), "QGauss");
+  test(FE_DGQ<1>(8), QGauss<1>(9), "QGauss");
+  test(FE_DGQ<1>(8), QGauss<1>(12), "QGauss");
+  test(FE_DGQHermite<1>(1), QGauss<1>(2), "QGauss");
+  test(FE_DGQHermite<1>(1), QGauss<1>(3), "QGauss");
+  test(FE_DGQHermite<1>(3), QGauss<1>(2), "QGauss");
+  test(FE_DGQHermite<1>(3), QGauss<1>(4), "QGauss");
+  test(FE_DGQHermite<1>(3), QGauss<1>(5), "QGauss");
+  test(FE_DGQHermite<1>(8), QGauss<1>(7), "QGauss");
+  test(FE_DGQHermite<1>(8), QGauss<1>(9), "QGauss");
+  test(FE_DGQHermite<1>(8), QGauss<1>(12), "QGauss");
+  test(FE_DGQArbitraryNodes<1>(QGauss<1>(9)), QGauss<1>(9), "QGauss");
+  test(FE_DGQArbitraryNodes<1>(QGauss<1>(9)), QGauss<1>(12), "QGauss");
+  test(FE_DGQ<1>(3), QGaussLobatto<1>(4), "QGaussLobatto");
+  test(FE_DGQ<1>(3), QGaussLobatto<1>(5), "QGaussLobatto");
+  test(FE_Q<1>(3), QGauss<1>(4), "QGauss");
+  test(FE_Q<1>(3), QGauss<1>(5), "QGauss");
+
+  test(FE_DGQ<2>(3), QGauss<1>(4), "QGauss");
+  test(FE_DGQ<2>(3), QGauss<1>(5), "QGauss");
+  test(FE_Q<2>(3), QGauss<1>(4), "QGauss");
+  test(FE_Q<2>(3), QGauss<1>(5), "QGauss");
+}
diff --git a/tests/matrix_free/shape_info_inverse.output b/tests/matrix_free/shape_info_inverse.output
new file mode 100644 (file)
index 0000000..3909ac9
--- /dev/null
+++ b/tests/matrix_free/shape_info_inverse.output
@@ -0,0 +1,684 @@
+
+DEAL::Testing FE_DGQ<1>(1) with QGauss(2)
+DEAL::shape values: 
+DEAL::0.788675135     0.211324865     
+DEAL::0.211324865     0.788675135     
+DEAL::inverse shape values: 
+DEAL::1.36602540      -0.366025404    
+DEAL::-0.366025404    1.36602540      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.00000000      0.00000000      
+DEAL::5.55111512e-17  1.00000000      
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      5.55111512e-17  
+DEAL::0.00000000      1.00000000      
+DEAL::Testing FE_DGQ<1>(1) with QGauss(3)
+DEAL::shape values: 
+DEAL::0.887298335     0.500000000     0.112701665     
+DEAL::0.112701665     0.500000000     0.887298335     
+DEAL::inverse shape values: 
+DEAL::0.923275002     0.444444444     -0.367719447    
+DEAL::-0.367719447    0.444444444     0.923275002     
+DEAL::inverse shapes' * shapes: 
+DEAL::0.777777778     0.277777778     -0.222222222    
+DEAL::0.444444444     0.444444444     0.444444444     
+DEAL::-0.222222222    0.277777778     0.777777778     
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -5.55111512e-17 
+DEAL::-6.93889390e-17 1.00000000      
+DEAL::Testing FE_DGQ<1>(3) with QGauss(2)
+DEAL::shape values: 
+DEAL::0.131445856     0.0352208109    
+DEAL::0.954581020     -0.121247687    
+DEAL::-0.121247687    0.954581020     
+DEAL::0.0352208109    0.131445856     
+DEAL::inverse shape values: 
+DEAL::0.0188747757    0.981125224     
+DEAL::1.48976241      -0.489762411    
+DEAL::-0.489762411    1.48976241      
+DEAL::0.981125224     0.0188747757    
+DEAL::inverse shapes' * shapes: 
+DEAL::1.51851852      -0.518518519    
+DEAL::-0.518518519    1.51851852      
+DEAL::inverse shapes * shapes': 
+DEAL::0.0370370370    -0.100941661    0.934274995     0.129629630     
+DEAL::0.178573266     1.48148148      -0.648148148    -0.0119065990   
+DEAL::-0.0119065990   -0.648148148    1.48148148      0.178573266     
+DEAL::0.129629630     0.934274995     -0.100941661    0.0370370370    
+DEAL::Testing FE_DGQ<1>(3) with QGauss(4)
+DEAL::shape values: 
+DEAL::0.629943166     -0.0706947953   -0.0348213172   0.0470015178    
+DEAL::0.472558747     0.972976186     0.132539926     -0.149503431    
+DEAL::-0.149503431    0.132539926     0.972976186     0.472558747     
+DEAL::0.0470015178    -0.0348213172   -0.0706947953   0.629943166     
+DEAL::inverse shape values: 
+DEAL::1.52678813      -0.813632449    0.400761520     -0.113917196    
+DEAL::0.102442037     1.00158549      -0.136437118    0.0324095916    
+DEAL::0.0324095916    -0.136437118    1.00158549      0.102442037     
+DEAL::-0.113917196    0.400761520     -0.813632449    1.52678813      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.00000000      4.25007252e-17  0.00000000      -2.77555756e-17 
+DEAL::6.93889390e-18  1.00000000      1.04083409e-17  5.55111512e-17  
+DEAL::-6.24500451e-17 -9.02056208e-17 1.00000000      -1.11022302e-16 
+DEAL::0.00000000      6.93889390e-18  0.00000000      1.00000000      
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -3.26128013e-16 -1.73472348e-16 1.38777878e-17  
+DEAL::-4.33680869e-18 1.00000000      5.20417043e-18  -3.46944695e-18 
+DEAL::1.47451495e-17  -9.54097912e-17 1.00000000      2.77555756e-17  
+DEAL::-2.77555756e-17 1.66533454e-16  2.22044605e-16  1.00000000      
+DEAL::Testing FE_DGQ<1>(3) with QGauss(5)
+DEAL::shape values: 
+DEAL::0.740028950     0.0864900503    -0.125000000    0.0259464471    0.0364234415    
+DEAL::0.338258799     0.978118936     0.625000000     -0.0905554331   -0.114711190    
+DEAL::-0.114711190    -0.0905554331   0.625000000     0.978118936     0.338258799     
+DEAL::0.0364234415    0.0259464471    -0.125000000    0.0864900503    0.740028950     
+DEAL::inverse shape values: 
+DEAL::1.28941203      -0.151162376    -0.426666667    0.474054364     -0.185637354    
+DEAL::-0.0100043193   0.740467570     0.426666667     -0.230691563    0.0735616456    
+DEAL::0.0735616456    -0.230691563    0.426666667     0.740467570     -0.0100043193   
+DEAL::-0.185637354    0.474054364     -0.426666667    -0.151162376    1.28941203      
+DEAL::inverse shapes' * shapes: 
+DEAL::0.935618289     0.0902578610    -0.0982485060   0.0902578610    -0.0643817113   
+DEAL::0.182334732     0.744381711     0.278248506     -0.255618289    0.182334732     
+DEAL::-0.235906041    0.330720856     0.640000000     0.330720856     -0.235906041    
+DEAL::0.182334732     -0.255618289    0.278248506     0.744381711     0.182334732     
+DEAL::-0.0643817113   0.0902578610    -0.0982485060   0.0902578610    0.935618289     
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -1.73472348e-17 0.00000000      0.00000000      
+DEAL::2.03830008e-17  1.00000000      -6.59194921e-17 6.93889390e-18  
+DEAL::8.89045781e-18  -1.08637058e-16 1.00000000      -3.20923843e-17 
+DEAL::-6.93889390e-17 3.33066907e-16  -3.33066907e-16 1.00000000      
+DEAL::Testing FE_DGQ<1>(8) with QGauss(7)
+DEAL::shape values: 
+DEAL::0.320613076     -0.0714863388   0.0198438864    0.00000000      -0.00838665716  0.0106096230    -0.00837135217  
+DEAL::0.807029174     0.285033101     -0.0582666730   0.00000000     0.0220424240    -0.0274783254   0.0215412175    
+DEAL::-0.188643039    0.902755372     0.136604120     0.00000000      -0.0342245986   0.0409438180    -0.0315417244   
+DEAL::0.0983329399    -0.172433798    0.974484761     0.00000000     0.0541476004    -0.0590697461   0.0439117888    
+DEAL::-0.0628720800   0.0911262946    -0.106244863    1.00000000      -0.106244863    0.0911262946    -0.0628720800   
+DEAL::0.0439117888    -0.0590697461   0.0541476004    0.00000000      0.974484761     -0.172433798    0.0983329399    
+DEAL::-0.0315417244   0.0409438180    -0.0342245986   0.00000000     0.136604120     0.902755372     -0.188643039    
+DEAL::0.0215412175    -0.0274783254   0.0220424240    0.00000000      -0.0582666730   0.285033101     0.807029174     
+DEAL::-0.00837135217  0.0106096230    -0.00838665716  0.00000000     0.0198438864    -0.0714863388   0.320613076     
+DEAL::inverse shape values: 
+DEAL::1.40436954      -0.437558718    -0.176481446    0.514285714     -0.564535161    0.389097875     -0.129177808    
+DEAL::0.668362110     0.366095901     0.0496221594    -0.210697944    0.234910897     -0.162082835    0.0537897112    
+DEAL::-0.117649885    1.00952994      0.0470878798    0.163587989     -0.190501703    0.131499528     -0.0435537463   
+DEAL::0.0622829176    -0.219150674    1.20128085      -0.145628507    0.186894410     -0.127620862    0.0419418640    
+DEAL::-0.0465644803   0.145788119     -0.232036139    1.26562500      -0.232036139    0.145788119     -0.0465644803   
+DEAL::0.0419418640    -0.127620862    0.186894410     -0.145628507    1.20128085      -0.219150674    0.0622829176    
+DEAL::-0.0435537463   0.131499528     -0.190501703    0.163587989     0.0470878798    1.00952994      -0.117649885    
+DEAL::0.0537897112    -0.162082835    0.234910897     -0.210697944    0.0496221594    0.366095901     0.668362110     
+DEAL::-0.129177808    0.389097875     -0.564535161    0.514285714     -0.176481446    -0.437558718    1.40436954      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.02634845      -0.0381892370   0.0445251315    -0.0465644803   0.0445251315    -0.0381892370   0.0263484516    
+DEAL::-0.0824940207   1.11956618      -0.139403149    0.145788119     -0.139403149    0.119566180     -0.0824940207   
+DEAL::0.131297352     -0.190301342    1.22187383      -0.232036139    0.221873830     -0.190301342    0.131297352     
+DEAL::-0.150303566    0.217848798     -0.253991626    1.26562500      -0.253991626    0.217848798     -0.150303566    
+DEAL::0.131297352     -0.190301342    0.221873830     -0.232036139    1.22187383      -0.190301342    0.131297352     
+DEAL::-0.0824940207   0.119566180     -0.139403149    0.145788119     -0.139403149    1.11956618      -0.0824940207   
+DEAL::0.0263484516    -0.0381892370   0.0445251315    -0.0465644803   0.0445251315    -0.0381892370   1.02634845      
+DEAL::inverse shapes * shapes': 
+DEAL::0.487980769     0.993013332     -0.644714481    -0.0176573481   0.508424908     -0.551968155    0.242339308     0.0779342319    -0.0953525641   
+DEAL::0.184959425     0.651636320     0.194819131     0.0756067985    -0.267740352    0.272565653     -0.132168636    -0.0110451593   0.0313668192    
+DEAL::-0.105595847    0.181308198     0.953262501     -0.159754896    0.292937966     -0.274847936    0.144338025     -0.0158041081   -0.0158439038   
+DEAL::0.0562005392    -0.0736658109   -0.0584333636   1.23404349      -0.331267831    0.288982775     -0.149642644    0.0204251078    0.0133577407    
+DEAL::-0.0260729667   0.00737181150   0.124077170     -0.279053900    1.34735577      -0.279053900    0.124077170     0.00737181150   -0.0260729667   
+DEAL::0.0133577407    0.0204251078    -0.149642644    0.288982775     -0.331267831    1.23404349      -0.0584333636   -0.0736658109   0.0562005392    
+DEAL::-0.0158439038   -0.0158041081   0.144338025     -0.274847936    0.292937966     -0.159754896    0.953262501     0.181308198     -0.105595847    
+DEAL::0.0313668192    -0.0110451593   -0.132168636    0.272565653     -0.267740352    0.0756067985    0.194819131     0.651636320     0.184959425     
+DEAL::-0.0953525641   0.0779342319    0.242339308     -0.551968155    0.508424908     -0.0176573481   -0.644714481    0.993013332     0.487980769     
+DEAL::Testing FE_DGQ<1>(8) with QGauss(9)
+DEAL::shape values: 
+DEAL::0.524442912     -0.129284795    0.0482092238    -0.0159529856   0.00000000      0.00814056828   -0.0115528655   0.0115459290    -0.00848413477  
+DEAL::0.595856699     0.811952022     -0.158860383    0.0457215782    0.00000000     -0.0214973299   0.0300671432    -0.0298095982   0.0218199783    
+DEAL::-0.180412629    0.419554984     0.918238283     -0.0960255456   0.00000000      0.0338418479    -0.0454045835   0.0440413517    -0.0319053624   
+DEAL::0.0974630497    -0.158301539    0.263027508     0.979571052     0.00000000     -0.0553850762   0.0674085266    -0.0624300935   0.0442952766    
+DEAL::-0.0630757895   0.0927317390    -0.111132852    0.121585891     1.00000000      0.121585891     -0.111132852    0.0927317390    -0.0630757895   
+DEAL::0.0442952766    -0.0624300935   0.0674085266    -0.0553850762   0.00000000      0.979571052     0.263027508     -0.158301539    0.0974630497    
+DEAL::-0.0319053624   0.0440413517    -0.0454045835   0.0338418479    0.00000000     -0.0960255456   0.918238283     0.419554984     -0.180412629    
+DEAL::0.0218199783    -0.0298095982   0.0300671432    -0.0214973299   0.00000000      0.0457215782    -0.158860383    0.811952022     0.595856699     
+DEAL::-0.00848413477  0.0115459290    -0.0115528655   0.00814056828   0.00000000     -0.0159529856   0.0482092238    -0.129284795    0.524442912     
+DEAL::inverse shape values: 
+DEAL::1.58491942      -1.00568289     0.737396941     -0.553219335    0.406349206     -0.282299494    0.176709911     -0.0898136794   0.0256399118    
+DEAL::0.271949448     0.953852810     -0.366964613    0.239449524     -0.166477388    0.112584159     -0.0694545570   0.0350192723    -0.00995865459  
+DEAL::-0.0373575132   0.223616862     0.962340237     -0.228162474    0.129254707     -0.0804102667   0.0475853146    -0.0234734165   0.00660654971   
+DEAL::0.00857590523   -0.0358533510   0.117139501     0.989059293     -0.115064499    0.0559215426    -0.0300204387   0.0141396481    -0.00389760115  
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::-0.00389760115  0.0141396481    -0.0300204387   0.0559215426    -0.115064499    0.989059293     0.117139501     -0.0358533510   0.00857590523   
+DEAL::0.00660654971   -0.0234734165   0.0475853146    -0.0804102667   0.129254707     -0.228162474    0.962340237     0.223616862     -0.0373575132   
+DEAL::-0.00995865459  0.0350192723    -0.0694545570   0.112584159     -0.166477388    0.239449524     -0.366964613    0.953852810     0.271949448     
+DEAL::0.0256399118    -0.0898136794   0.176709911     -0.282299494    0.406349206     -0.553219335    0.737396941     -1.00568289     1.58491942      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.00000000      5.69206141e-17  -1.08962318e-17 -2.76471554e-18 0.00000000      -4.87890978e-19 -1.30104261e-18 0.00000000      3.46944695e-18  
+DEAL::4.40186082e-17  1.00000000      -9.56266316e-17 1.29020059e-17  0.00000000      -2.16840434e-18 9.54097912e-18  0.00000000      0.00000000      
+DEAL::-2.08166817e-17 -6.28837260e-17 1.00000000      -1.92987987e-17 0.00000000      -1.30104261e-18 5.20417043e-18  1.04083409e-17  1.38777878e-17  
+DEAL::2.81892565e-17  7.50267903e-17  -8.97719399e-17 1.00000000      0.00000000      2.16840434e-17  -4.33680869e-17 2.77555756e-17  -5.55111512e-17 
+DEAL::-2.21177243e-17 -1.73472348e-17 -1.73472348e-18 9.97465999e-18  1.00000000      -1.82145965e-17 -1.04083409e-17 -6.93889390e-18 5.55111512e-17  
+DEAL::5.29090660e-17  3.12250226e-17  -2.34187669e-17 1.38777878e-17  0.00000000      1.00000000      -5.20417043e-17 4.16333634e-17  -5.55111512e-17 
+DEAL::-1.21430643e-17 5.20417043e-18  1.73472348e-17  1.73472348e-18  0.00000000      -1.21430643e-17 1.00000000      -2.77555756e-17 1.66533454e-16  
+DEAL::1.21430643e-17  -3.46944695e-18 0.00000000      -1.73472348e-18 0.00000000      1.04083409e-17  -4.85722573e-17 1.00000000      -1.11022302e-16 
+DEAL::-3.46944695e-18 3.46944695e-18  -1.04083409e-17 0.00000000      0.00000000      -6.93889390e-18 2.77555756e-17  -2.77555756e-17 1.00000000      
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -1.33790548e-16 -3.12250226e-17 6.04984812e-17  -2.03830008e-17 3.42607887e-17  -3.55618313e-17 1.90819582e-17  -1.04083409e-17 
+DEAL::1.85669622e-17  1.00000000      -1.74014449e-17 3.27429056e-17  -1.98408998e-17 3.74049750e-17  -5.20417043e-18 1.12757026e-17  -8.67361738e-19 
+DEAL::8.36868552e-18  -5.75711354e-17 1.00000000      9.75781955e-18  -1.02999206e-17 -2.29850861e-17 1.30104261e-17  -4.33680869e-18 0.00000000      
+DEAL::-1.70761842e-18 -1.36609474e-17 -1.57209315e-18 1.00000000      -8.07730619e-18 1.69135539e-17  -7.91467586e-18 4.77048956e-18  -2.16840434e-18 
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::-1.19262239e-18 2.95445092e-18  -3.79470760e-19 -1.24683250e-18 -2.49366500e-18 1.00000000      -1.32272665e-17 -2.60208521e-18 -8.67361738e-19 
+DEAL::-2.49366500e-18 -3.90312782e-18 -4.77048956e-18 -2.55871713e-17 -1.77809156e-17 -5.85469173e-17 1.00000000      -1.38777878e-17 6.93889390e-18  
+DEAL::3.03576608e-18  -6.07153217e-18 3.29597460e-17  1.73472348e-18  0.00000000      4.51028104e-17  -2.08166817e-17 1.00000000      -2.77555756e-17 
+DEAL::-6.93889390e-18 1.38777878e-17  -3.46944695e-17 -2.77555756e-17 5.55111512e-17  -1.11022302e-16 0.00000000      -1.11022302e-16 1.00000000      
+DEAL::Testing FE_DGQ<1>(8) with QGauss(12)
+DEAL::shape values: 
+DEAL::0.702031429     0.0186036035    -0.102052536    0.0585894230    0.00211090276   -0.0321525333   0.0249956691    -0.000975592561 -0.0152324888   0.0132674050    -0.000936793434 -0.00653273690  
+DEAL::0.386259687     0.998777666     0.441387251     -0.188891438    -0.00612341396  0.0886372636    -0.0669778690   0.00256960645   0.0396867750    -0.0343282227   0.00241365498   0.0167951676    
+DEAL::-0.133704961    -0.0247113682   0.796217803     0.845826317     0.0135611742    -0.160198496    0.110194230     -0.00401449063  -0.0601128826   0.0510144479    -0.00354629885  -0.0245344006   
+DEAL::0.0739198029    0.0116439007    -0.203858245    0.380852053     0.999692252     0.417541951     -0.203391820    0.00644721407   0.0898401043    -0.0731906843   0.00497094007   0.0339971308    
+DEAL::-0.0482311177   -0.00721530500  0.111542781     -0.150557864    -0.0132676525   0.821351604     0.821351604     -0.0132676525   -0.150557864    0.111542781     -0.00721530500  -0.0482311177   
+DEAL::0.0339971308    0.00497094007   -0.0731906843   0.0898401043    0.00644721407   -0.203391820    0.417541951     0.999692252     0.380852053     -0.203858245    0.0116439007    0.0739198029    
+DEAL::-0.0245344006   -0.00354629885  0.0510144479    -0.0601128826   -0.00401449063  0.110194230     -0.160198496    0.0135611742    0.845826317     0.796217803     -0.0247113682   -0.133704961    
+DEAL::0.0167951676    0.00241365498   -0.0343282227   0.0396867750    0.00256960645   -0.0669778690   0.0886372636    -0.00612341396  -0.188891438    0.441387251     0.998777666     0.386259687     
+DEAL::-0.00653273690  -0.000936793434 0.0132674050    -0.0152324888   -0.000975592561 0.0249956691    -0.0321525333   0.00211090276   0.0585894230    -0.102052536    0.0186036035    0.702031429     
+DEAL::inverse shape values: 
+DEAL::1.28488812      -0.124805733    -0.499584932    0.593051903     -0.279509195    -0.140378802    0.372200207     -0.305453446    0.0531164203    0.164983111     -0.200032661    0.0815250121    
+DEAL::0.0721600049    0.725861264     0.390671631     -0.299294449    0.113142319     0.0728031330    -0.161469600    0.125407046     -0.0186844856   -0.0694726128   0.0820335776    -0.0331578288   
+DEAL::0.00648599228   -0.0721064253   0.492418396     0.678272631     -0.0830188524   -0.0983028592   0.147081657     -0.0979667864   0.00784865156   0.0579044199    -0.0638621299   0.0252453063    
+DEAL::-0.0161606609   0.0592156877    -0.119266640    0.176766938     0.757963839     0.258380393     -0.188187397    0.0885174861    0.00609926195   -0.0588875315   0.0571558055    -0.0215971808   
+DEAL::0.0192013185    -0.0557871603   0.0722671610    -0.0373455007   -0.0896185414   0.591282723     0.591282723     -0.0896185414   -0.0373455007   0.0722671610    -0.0557871603   0.0192013185    
+DEAL::-0.0215971808   0.0571558055    -0.0588875315   0.00609926195   0.0885174861    -0.188187397    0.258380393     0.757963839     0.176766938     -0.119266640    0.0592156877    -0.0161606609   
+DEAL::0.0252453063    -0.0638621299   0.0579044199    0.00784865156   -0.0979667864   0.147081657     -0.0983028592   -0.0830188524   0.678272631     0.492418396     -0.0721064253   0.00648599228   
+DEAL::-0.0331578288   0.0820335776    -0.0694726128   -0.0186844856   0.125407046     -0.161469600    0.0728031330    0.113142319     -0.299294449    0.390671631     0.725861264     0.0721600049    
+DEAL::0.0815250121    -0.200032661    0.164983111     0.0531164203    -0.305453446    0.372200207     -0.140378802    -0.279509195    0.593051903     -0.499584932    -0.124805733    1.28488812      
+DEAL::inverse shapes' * shapes: 
+DEAL::0.924473344     0.0951350668    -0.0835866069   0.0520751215    -0.0144574044   -0.0154989189   0.0284339698    -0.0223261379   0.00272662466   0.0197737125    -0.0337473450   0.0306371624    
+DEAL::0.215656754     0.726422037     0.244504824     -0.159182710    0.0552823933    0.0296500318    -0.0697484632   0.0587459442    -0.0107017439   -0.0466859679   0.0832770998    -0.0765001081   
+DEAL::-0.283631350    0.366001218     0.659705797     0.243090674     -0.117909390    0.00849918782   0.0538957578    -0.0595237826   0.0212571049    0.0324792497    -0.0698845970   0.0670974091    
+DEAL::0.224269062     -0.302421409    0.308524628     0.736451810     0.189398760     -0.108917729    0.0409102145    0.00399493461   -0.0245782798   0.0269789880    -0.0203315829   0.0117426045    
+DEAL::-0.0715563742   0.120704204     -0.171984321    0.217668736     0.758095161     0.230354800     -0.177893991    0.0927214781    0.00459122522   -0.0868222396   0.128266560     -0.110502372    
+DEAL::-0.0818544215   0.0690785899    0.0132281962    -0.133567328    0.245798939     0.694851851     0.285463290     -0.189820896    0.0501687660    0.0838837396    -0.162499842    0.150168290     
+DEAL::0.150168290     -0.162499842    0.0838837396    0.0501687660    -0.189820896    0.285463290     0.694851851     0.245798939     -0.133567328    0.0132281962    0.0690785899    -0.0818544215   
+DEAL::-0.110502372    0.128266560     -0.0868222396   0.00459122522   0.0927214781    -0.177893991    0.230354800     0.758095161     0.217668736     -0.171984321    0.120704204     -0.0715563742   
+DEAL::0.0117426045    -0.0203315829   0.0269789880    -0.0245782798   0.00399493461   0.0409102145    -0.108917729    0.189398760     0.736451810     0.308524628     -0.302421409    0.224269062     
+DEAL::0.0670974091    -0.0698845970   0.0324792497    0.0212571049    -0.0595237826   0.0538957578    0.00849918782   -0.117909390    0.243090674     0.659705797     0.366001218     -0.283631350    
+DEAL::-0.0765001081   0.0832770998    -0.0466859679   -0.0107017439   0.0587459442    -0.0697484632   0.0296500318    0.0552823933    -0.159182710    0.244504824     0.726422037     0.215656754     
+DEAL::0.0306371624    -0.0337473450   0.0197737125    0.00272662466   -0.0223261379   0.0284339698    -0.0154989189   -0.0144574044   0.0520751215    -0.0835866069   0.0951350668    0.924473344     
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -3.53016227e-16 1.17961196e-16  7.94069671e-16  -5.81132364e-16 5.17814958e-16  -2.42861287e-17 1.38777878e-17  5.55111512e-16  
+DEAL::-4.74338450e-17 1.00000000      2.54787511e-17  -3.46727855e-16 2.25947733e-16  -2.31585584e-16 3.38271078e-17  -3.46944695e-18 -2.22044605e-16 
+DEAL::2.94631940e-17  2.00035301e-17  1.00000000      3.62340366e-16  -1.44632570e-16 2.31151903e-16  -2.64545330e-17 3.46944695e-18  1.70002901e-16  
+DEAL::2.90566182e-17  -6.03900610e-17 3.69062420e-16  1.00000000      -6.13658430e-17 -1.65882932e-16 -2.42861287e-17 1.90819582e-17  -1.68268177e-16 
+DEAL::6.80336863e-18  -2.75929453e-17 -2.10335221e-17 -1.25225351e-16 1.00000000      4.96130914e-16  -9.80118764e-17 -4.33680869e-18 1.47451495e-16  
+DEAL::3.28513258e-17  -9.40545385e-17 1.96945325e-16  -2.32452946e-16 6.90745204e-16  1.00000000      -3.88144378e-16 2.34187669e-16  -2.32452946e-16 
+DEAL::-1.72252620e-17 3.43556563e-17  -1.31540829e-16 8.00954355e-17  -2.92463536e-16 -3.49546780e-16 1.00000000      -2.35055031e-16 2.32452946e-16  
+DEAL::3.46944695e-18  -1.84314369e-17 1.35091591e-16  -8.50014503e-17 2.35488712e-16  3.84241250e-16  -3.22658567e-16 1.00000000      -3.05311332e-16 
+DEAL::1.38777878e-17  -3.46944695e-18 -2.15105711e-16 1.17961196e-16  -6.03683770e-16 -8.46545056e-16 5.27355937e-16  -2.77555756e-16 1.00000000      
+DEAL::Testing FE_DGQHermite<1>(1) with QGauss(2)
+DEAL::shape values: 
+DEAL::0.788675135     0.211324865     
+DEAL::0.211324865     0.788675135     
+DEAL::inverse shape values: 
+DEAL::1.36602540      -0.366025404    
+DEAL::-0.366025404    1.36602540      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.00000000      1.11022302e-16  
+DEAL::0.00000000      1.00000000      
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      0.00000000      
+DEAL::1.11022302e-16  1.00000000      
+DEAL::Testing FE_DGQHermite<1>(1) with QGauss(3)
+DEAL::shape values: 
+DEAL::0.887298335     0.500000000     0.112701665     
+DEAL::0.112701665     0.500000000     0.887298335     
+DEAL::inverse shape values: 
+DEAL::0.923275002     0.444444444     -0.367719447    
+DEAL::-0.367719447    0.444444444     0.923275002     
+DEAL::inverse shapes' * shapes: 
+DEAL::0.777777778     0.277777778     -0.222222222    
+DEAL::0.444444444     0.444444444     0.444444444     
+DEAL::-0.222222222    0.277777778     0.777777778     
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      5.55111512e-17  
+DEAL::-4.16333634e-17 1.00000000      
+DEAL::Testing FE_DGQHermite<1>(3) with QGauss(2)
+DEAL::shape values: 
+DEAL::0.161947973     -0.0786146394   
+DEAL::0.722952207     0.193714460     
+DEAL::0.193714460     0.722952207     
+DEAL::-0.0786146394   0.161947973     
+DEAL::inverse shape values: 
+DEAL::0.0188747757    0.981125224     
+DEAL::2.64319418      -1.64319418     
+DEAL::-1.64319418     2.64319418      
+DEAL::0.981125224     0.0188747757    
+DEAL::inverse shapes' * shapes: 
+DEAL::1.51851852      -0.518518519    
+DEAL::-0.518518519    1.51851852      
+DEAL::inverse shapes * shapes': 
+DEAL::-0.0740740741   0.203703704     0.712962963     0.157407407     
+DEAL::0.557239057     1.59259259      -0.675925926    -0.473905724    
+DEAL::-0.473905724    -0.675925926    1.59259259      0.557239057     
+DEAL::0.157407407     0.712962963     0.203703704     -0.0740740741   
+DEAL::Testing FE_DGQHermite<1>(3) with QGauss(4)
+DEAL::shape values: 
+DEAL::0.655519600     -0.0695924227   -0.146475301    -0.0108804475   
+DEAL::0.330687489     0.814753849     0.401313875     0.0246733590    
+DEAL::0.0246733590    0.401313875     0.814753849     0.330687489     
+DEAL::-0.0108804475   -0.146475301    -0.0695924227   0.655519600     
+DEAL::inverse shape values: 
+DEAL::1.52678813      -0.813632449    0.400761520     -0.113917196    
+DEAL::-0.0270343487   1.69676154      -0.947796738    0.278069550     
+DEAL::0.278069550     -0.947796738    1.69676154      -0.0270343487   
+DEAL::-0.113917196    0.400761520     -0.813632449    1.52678813      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.00000000      2.77555756e-17  -6.24500451e-17 1.38777878e-17  
+DEAL::-6.62664368e-16 1.00000000      -4.30211422e-16 0.00000000      
+DEAL::3.46944695e-16  1.17961196e-15  1.00000000      -1.11022302e-16 
+DEAL::-6.59194921e-17 -3.33066907e-16 2.22044605e-16  1.00000000      
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      1.33573708e-16  -2.63677968e-16 2.22044605e-16  
+DEAL::-1.09287579e-16 1.00000000      6.10622664e-16  -3.88578059e-16 
+DEAL::2.07299455e-16  -8.64109131e-17 1.00000000      4.47558657e-16  
+DEAL::-3.81639165e-17 -2.08166817e-17 0.00000000      1.00000000      
+DEAL::Testing FE_DGQHermite<1>(3) with QGauss(5)
+DEAL::shape values: 
+DEAL::0.759237720     0.113800731     -0.187500000    -0.0901205841   -0.00514008955  
+DEAL::0.234367070     0.751019065     0.687500000     0.225300788     0.0115352991    
+DEAL::0.0115352991    0.225300788     0.687500000     0.751019065     0.234367070     
+DEAL::-0.00514008955  -0.0901205841   -0.187500000    0.113800731     0.759237720     
+DEAL::inverse shape values: 
+DEAL::1.28941203      -0.151162376    -0.426666667    0.474054364     -0.185637354    
+DEAL::-0.207017818    1.31873094      0.349090909     -0.825944389    0.365140358     
+DEAL::0.365140358     -0.825944389    0.349090909     1.31873094      -0.207017818    
+DEAL::-0.185637354    0.474054364     -0.426666667    -0.151162376    1.28941203      
+DEAL::inverse shapes' * shapes: 
+DEAL::0.935618289     0.0902578610    -0.0982485060   0.0902578610    -0.0643817113   
+DEAL::0.182334732     0.744381711     0.278248506     -0.255618289    0.182334732     
+DEAL::-0.235906041    0.330720856     0.640000000     0.330720856     -0.235906041    
+DEAL::0.182334732     -0.255618289    0.278248506     0.744381711     0.182334732     
+DEAL::-0.0643817113   0.0902578610    -0.0982485060   0.0902578610    0.935618289     
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      5.01335085e-16  7.63278329e-17  8.32667268e-17  
+DEAL::-6.72205347e-18 1.00000000      1.38777878e-16  -2.22044605e-16 
+DEAL::1.73038667e-16  6.11923706e-16  1.00000000      2.22044605e-16  
+DEAL::-9.54097912e-18 -2.06432094e-16 -1.66533454e-16 1.00000000      
+DEAL::Testing FE_DGQHermite<1>(8) with QGauss(7)
+DEAL::shape values: 
+DEAL::0.303602615     -0.0772560446   0.0244110344    0.00000000      -0.0114539402   0.0171629335    0.00865284609   
+DEAL::0.613880272     0.215536663     -0.0512200702   0.00000000     0.0216472298    -0.0319888075   -0.0160286911   
+DEAL::0.131737430     1.00974065      0.127270528     0.00000000      -0.0320103749   0.0447465155    0.0218935297    
+DEAL::-0.0830590508   -0.228145975    0.988337808     0.00000000     0.0627230791    -0.0797464923   -0.0376162159   
+DEAL::0.0569372647    0.129950554     -0.129705294    1.00000000      -0.129705294    0.129950554     0.0569372647    
+DEAL::-0.0376162159   -0.0797464923   0.0627230791    0.00000000      0.988337808     -0.228145975    -0.0830590508   
+DEAL::0.0218935297    0.0447465155    -0.0320103749   0.00000000     0.127270528     1.00974065      0.131737430     
+DEAL::-0.0160286911   -0.0319888075   0.0216472298    0.00000000      -0.0512200702   0.215536663     0.613880272     
+DEAL::0.00865284609   0.0171629335    -0.0114539402   0.00000000     0.0244110344    -0.0772560446   0.303602615     
+DEAL::inverse shape values: 
+DEAL::1.40436954      -0.437558718    -0.176481446    0.514285714     -0.564535161    0.389097875     -0.129177808    
+DEAL::1.02497501      -0.208876654    0.518729083     -0.708880309    0.667775715     -0.434837825    0.141114982     
+DEAL::-0.116901115    1.01391412      0.0401799051    0.166289353     -0.191902942    0.132154752     -0.0437340698   
+DEAL::0.0638149479    -0.226290253    1.19313389      -0.126825540    0.179477295     -0.124375032    0.0410646943    
+DEAL::-0.0465644803   0.145788119     -0.232036139    1.26562500      -0.232036139    0.145788119     -0.0465644803   
+DEAL::0.0410646943    -0.124375032    0.179477295     -0.126825540    1.19313389      -0.226290253    0.0638149479    
+DEAL::-0.0437340698   0.132154752     -0.191902942    0.166289353     0.0401799051    1.01391412      -0.116901115    
+DEAL::0.141114982     -0.434837825    0.667775715     -0.708880309    0.518729083     -0.208876654    1.02497501      
+DEAL::-0.129177808    0.389097875     -0.564535161    0.514285714     -0.176481446    -0.437558718    1.40436954      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.02634845      -0.0381892370   0.0445251315    -0.0465644803   0.0445251315    -0.0381892370   0.0263484516    
+DEAL::-0.0824940207   1.11956618      -0.139403149    0.145788119     -0.139403149    0.119566180     -0.0824940207   
+DEAL::0.131297352     -0.190301342    1.22187383      -0.232036139    0.221873830     -0.190301342    0.131297352     
+DEAL::-0.150303566    0.217848798     -0.253991626    1.26562500      -0.253991626    0.217848798     -0.150303566    
+DEAL::0.131297352     -0.190301342    0.221873830     -0.232036139    1.22187383      -0.190301342    0.131297352     
+DEAL::-0.0824940207   0.119566180     -0.139403149    0.145788119     -0.139403149    1.11956618      -0.0824940207   
+DEAL::0.0263484516    -0.0381892370   0.0445251315    -0.0465644803   0.0445251315    -0.0381892370   1.02634845      
+DEAL::inverse shapes * shapes': 
+DEAL::0.467892684     0.754247355     -0.246620079    -0.252821021    0.676707907     -0.664995927    0.320838318     0.0211471221    -0.0763963601   
+DEAL::0.326094081     0.583725569     -0.0476084751   0.546454010     -0.880033342    0.758111394     -0.339006030    -0.0398175542   0.0920803469    
+DEAL::-0.108753861    0.137033720     1.02460262      -0.202829921    0.325754791     -0.290121507    0.144780594     -0.0182243543   -0.0122420857   
+DEAL::0.0621472711    -0.0635059280   -0.0786483044   1.24517728      -0.344458065    0.292831473     -0.144255827    0.0212525154    0.00945959012   
+DEAL::-0.0263073890   0.00578241620   0.124474157     -0.283151993    1.35840562      -0.283151993    0.124474157     0.00578241620   -0.0263073890   
+DEAL::0.00945959012   0.0212525154    -0.144255827    0.292831473     -0.344458065    1.24517728      -0.0786483044   -0.0635059280   0.0621472711    
+DEAL::-0.0122420857   -0.0182243543   0.144780594     -0.290121507    0.325754791     -0.202829921    1.02460262      0.137033720     -0.108753861    
+DEAL::0.0920803469    -0.0398175542   -0.339006030    0.758111394     -0.880033342    0.546454010     -0.0476084751   0.583725569     0.326094081     
+DEAL::-0.0763963601   0.0211471221    0.320838318     -0.664995927    0.676707907     -0.252821021    -0.246620079    0.754247355     0.467892684     
+DEAL::Testing FE_DGQHermite<1>(8) with QGauss(9)
+DEAL::shape values: 
+DEAL::0.512003853     -0.147169650    0.0543419343    -0.0147870486   0.00000000      0.00815184159   -0.0162588123   0.0297287648    0.00395852853   
+DEAL::0.453051529     0.618601211     -0.127038722    0.0303276819    0.00000000     -0.0154757593   0.0304435780    -0.0552449004   -0.00732920617  
+DEAL::0.0568242688    0.734911404     0.858936606     -0.0659712528   0.00000000      0.0233101034    -0.0433646230   0.0763877479    0.00999183676   
+DEAL::-0.0371541113   -0.333374882    0.301859915     0.972414618     0.00000000     -0.0472944958   0.0795912815    -0.133698911    -0.0171187150   
+DEAL::0.0257720164    0.209859214     -0.138511158    0.109324311     1.00000000      0.109324311     -0.138511158    0.209859214     0.0257720164    
+DEAL::-0.0171187150   -0.133698911    0.0795912815    -0.0472944958   0.00000000      0.972414618     0.301859915     -0.333374882    -0.0371541113   
+DEAL::0.00999183676   0.0763877479    -0.0433646230   0.0233101034    0.00000000     -0.0659712528   0.858936606     0.734911404     0.0568242688    
+DEAL::-0.00732920617  -0.0552449004   0.0304435780    -0.0154757593   0.00000000      0.0303276819    -0.127038722    0.618601211     0.453051529     
+DEAL::0.00395852853   0.0297287648    -0.0162588123   0.00815184159   0.00000000     -0.0147870486   0.0543419343    -0.147169650    0.512003853     
+DEAL::inverse shape values: 
+DEAL::1.58491942      -1.00568289     0.737396941     -0.553219335    0.406349206     -0.282299494    0.176709911     -0.0898136794   0.0256399118    
+DEAL::0.420412422     1.10903894      -0.953176755    0.748196415     -0.560102960    0.392851906     -0.247204557    0.126007849     -0.0360232601   
+DEAL::-0.0382391604   0.229826543     0.959049963     -0.231487620    0.131389118     -0.0817932074   0.0484189867    -0.0238885013   0.00672387797   
+DEAL::0.00728242501   -0.0303663591   0.0981703225    0.993846171     -0.100207834    0.0483368438    -0.0258845291   0.0121783294    -0.00335536912  
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::-0.00335536912  0.0121783294    -0.0258845291   0.0483368438    -0.100207834    0.993846171     0.0981703225    -0.0303663591   0.00728242501   
+DEAL::0.00672387797   -0.0238885013   0.0484189867    -0.0817932074   0.131389118     -0.231487620    0.959049963     0.229826543     -0.0382391604   
+DEAL::-0.0360232601   0.126007849     -0.247204557    0.392851906     -0.560102960    0.748196415     -0.953176755    1.10903894      0.420412422     
+DEAL::0.0256399118    -0.0898136794   0.176709911     -0.282299494    0.406349206     -0.553219335    0.737396941     -1.00568289     1.58491942      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.00000000      4.44522891e-18  2.39066579e-17  4.06575815e-18  0.00000000      1.62630326e-19  9.75781955e-18  5.63785130e-18  3.46944695e-18  
+DEAL::1.62250855e-16  1.00000000      7.15573434e-17  -1.60461922e-17 0.00000000      4.77048956e-18  -2.08166817e-17 3.46944695e-17  -6.93889390e-18 
+DEAL::-1.05818132e-16 8.23993651e-17  1.00000000      5.83300769e-17  0.00000000      -6.50521303e-18 3.81639165e-17  -6.93889390e-18 1.38777878e-17  
+DEAL::6.31005664e-17  1.56125113e-17  3.03576608e-17  1.00000000      0.00000000      -1.21430643e-17 -1.38777878e-17 -6.93889390e-17 2.77555756e-17  
+DEAL::-1.86482774e-17 3.12250226e-17  -3.81639165e-17 -7.32920669e-17 1.00000000      2.08166817e-17  6.93889390e-17  9.02056208e-17  -5.55111512e-17 
+DEAL::7.80625564e-17  3.46944695e-17  4.85722573e-17  2.34187669e-17  0.00000000      1.00000000      -3.46944695e-18 -1.24900090e-16 -5.55111512e-17 
+DEAL::-2.03830008e-17 1.38777878e-17  -2.25514052e-17 -5.72458747e-17 0.00000000      -5.55111512e-17 1.00000000      1.11022302e-16  5.55111512e-17  
+DEAL::2.08166817e-17  -3.46944695e-18 3.12250226e-17  5.03069808e-17  0.00000000      -8.50014503e-17 6.24500451e-17  1.00000000      0.00000000      
+DEAL::3.46944695e-18  1.38777878e-17  6.93889390e-18  -6.93889390e-18 0.00000000      -1.04083409e-17 0.00000000      -2.77555756e-17 1.00000000      
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      5.16622335e-16  -2.46655994e-17 -4.16442054e-16 2.06757354e-16  -6.55942314e-17 1.47234655e-16  -1.73472348e-17 4.16333634e-17  
+DEAL::9.83642421e-17  1.00000000      7.10152423e-18  4.43221848e-16  -2.23128807e-16 7.93635990e-17  -2.02095285e-16 2.42861287e-17  -3.12250226e-17 
+DEAL::7.66395411e-18  1.01643954e-18  1.00000000      -7.47150822e-17 5.64869332e-17  2.33103467e-18  3.35018471e-17  1.25767452e-17  7.80625564e-18  
+DEAL::2.23955511e-18  5.71577833e-18  3.58870919e-17  1.00000000      -3.43149988e-17 -2.11690474e-17 -2.41506034e-17 3.36102673e-17  -1.53956708e-17 
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::3.62530101e-19  -4.52654407e-18 -1.00288701e-18 8.61940727e-18  -1.63714528e-17 1.00000000      -9.80118764e-17 -4.16333634e-17 5.63785130e-18  
+DEAL::3.74049750e-18  1.02999206e-17  -1.68051337e-18 -2.74303150e-17 9.69276742e-17  -4.18502039e-17 1.00000000      2.08166817e-17  -1.04083409e-17 
+DEAL::7.15573434e-18  -1.82145965e-17 2.51534904e-17  3.20923843e-17  -5.37764278e-17 -1.68268177e-16 -2.04697370e-16 1.00000000      2.77555756e-17  
+DEAL::-9.54097912e-18 6.93889390e-18  -4.16333634e-17 3.81639165e-17  -9.71445147e-17 1.04083409e-16  5.55111512e-17  1.11022302e-16  1.00000000      
+DEAL::Testing FE_DGQHermite<1>(8) with QGauss(12)
+DEAL::shape values: 
+DEAL::0.694023335     -0.00290176391  -0.111577467    0.0657664392    0.00506770931   -0.0343667339   0.0274435730    -0.00256557000  -0.0208945313   0.0234179044    0.0206463010    0.00147609129   
+DEAL::0.293594858     0.760434922     0.335420670     -0.150638255    -0.0105125719   0.0679486578    -0.0528238989   0.00485857858   0.0391639893    -0.0436065781   -0.0382920676   -0.00273204003  
+DEAL::0.0203827944    0.368788536     0.964201705     0.776839388     0.0243929893    -0.122523476    0.0843462516    -0.00724418593  -0.0560149218   0.0607771684    0.0525481579    0.00371965465   
+DEAL::-0.0136445177   -0.209797606    -0.294331791    0.425349720     1.00283951      0.402732035     -0.193733653    0.0144150642    0.103514462     -0.107699504    -0.0909206296   -0.00636033330  
+DEAL::0.00954015744   0.139494151     0.173397893     -0.183086290    -0.0312515214   0.820977244     0.820977244     -0.0312515214   -0.183086290    0.173397893     0.139494151     0.00954015744   
+DEAL::-0.00636033330  -0.0909206296   -0.107699504    0.103514462     0.0144150642    -0.193733653    0.402732035     1.00283951      0.425349720     -0.294331791    -0.209797606    -0.0136445177   
+DEAL::0.00371965465   0.0525481579    0.0607771684    -0.0560149218   -0.00724418593  0.0843462516    -0.122523476    0.0243929893    0.776839388     0.964201705     0.368788536     0.0203827944    
+DEAL::-0.00273204003  -0.0382920676   -0.0436065781   0.0391639893    0.00485857858   -0.0528238989   0.0679486578    -0.0105125719   -0.150638255    0.335420670     0.760434922     0.293594858     
+DEAL::0.00147609129   0.0206463010    0.0234179044    -0.0208945313   -0.00256557000  0.0274435730    -0.0343667339   0.00506770931   0.0657664392    -0.111577467    -0.00290176391  0.694023335     
+DEAL::inverse shape values: 
+DEAL::1.28488812      -0.124805733    -0.499584932    0.593051903     -0.279509195    -0.140378802    0.372200207     -0.305453446    0.0531164203    0.164983111     -0.200032661    0.0815250121    
+DEAL::0.107561409     1.04432027      0.168052577     -0.677267194    0.469252465     0.0418049930    -0.398191119    0.382593246     -0.0988613135   -0.175359062    0.233726853     -0.0976331178   
+DEAL::0.00527959371   -0.0690275053   0.496048231     0.674977192     -0.0864970952   -0.0969578207   0.147548053     -0.0989698380   0.00836421074   0.0580873261    -0.0642983432   0.0254459960    
+DEAL::-0.0181496962   0.0637442775    -0.120578612    0.161734805     0.757046414     0.273651602     -0.185696827    0.0831323916    0.00866105913   -0.0579638226   0.0550723030    -0.0206538945   
+DEAL::0.0192013185    -0.0557871603   0.0722671610    -0.0373455007   -0.0896185414   0.591282723     0.591282723     -0.0896185414   -0.0373455007   0.0722671610    -0.0557871603   0.0192013185    
+DEAL::-0.0206538945   0.0550723030    -0.0579638226   0.00866105913   0.0831323916    -0.185696827    0.273651602     0.757046414     0.161734805     -0.120578612    0.0637442775    -0.0181496962   
+DEAL::0.0254459960    -0.0642983432   0.0580873261    0.00836421074   -0.0989698380   0.147548053     -0.0969578207   -0.0864970952   0.674977192     0.496048231     -0.0690275053   0.00527959371   
+DEAL::-0.0976331178   0.233726853     -0.175359062    -0.0988613135   0.382593246     -0.398191119    0.0418049930    0.469252465     -0.677267194    0.168052577     1.04432027      0.107561409     
+DEAL::0.0815250121    -0.200032661    0.164983111     0.0531164203    -0.305453446    0.372200207     -0.140378802    -0.279509195    0.593051903     -0.499584932    -0.124805733    1.28488812      
+DEAL::inverse shapes' * shapes: 
+DEAL::0.924473344     0.0951350668    -0.0835866069   0.0520751215    -0.0144574044   -0.0154989189   0.0284339698    -0.0223261379   0.00272662466   0.0197737125    -0.0337473450   0.0306371624    
+DEAL::0.215656754     0.726422037     0.244504824     -0.159182710    0.0552823933    0.0296500318    -0.0697484632   0.0587459442    -0.0107017439   -0.0466859679   0.0832770998    -0.0765001081   
+DEAL::-0.283631350    0.366001218     0.659705797     0.243090674     -0.117909390    0.00849918782   0.0538957578    -0.0595237826   0.0212571049    0.0324792497    -0.0698845970   0.0670974091    
+DEAL::0.224269062     -0.302421409    0.308524628     0.736451810     0.189398760     -0.108917729    0.0409102145    0.00399493461   -0.0245782798   0.0269789880    -0.0203315829   0.0117426045    
+DEAL::-0.0715563742   0.120704204     -0.171984321    0.217668736     0.758095161     0.230354800     -0.177893991    0.0927214781    0.00459122522   -0.0868222396   0.128266560     -0.110502372    
+DEAL::-0.0818544215   0.0690785899    0.0132281962    -0.133567328    0.245798939     0.694851851     0.285463290     -0.189820896    0.0501687660    0.0838837396    -0.162499842    0.150168290     
+DEAL::0.150168290     -0.162499842    0.0838837396    0.0501687660    -0.189820896    0.285463290     0.694851851     0.245798939     -0.133567328    0.0132281962    0.0690785899    -0.0818544215   
+DEAL::-0.110502372    0.128266560     -0.0868222396   0.00459122522   0.0927214781    -0.177893991    0.230354800     0.758095161     0.217668736     -0.171984321    0.120704204     -0.0715563742   
+DEAL::0.0117426045    -0.0203315829   0.0269789880    -0.0245782798   0.00399493461   0.0409102145    -0.108917729    0.189398760     0.736451810     0.308524628     -0.302421409    0.224269062     
+DEAL::0.0670974091    -0.0698845970   0.0324792497    0.0212571049    -0.0595237826   0.0538957578    0.00849918782   -0.117909390    0.243090674     0.659705797     0.366001218     -0.283631350    
+DEAL::-0.0765001081   0.0832770998    -0.0466859679   -0.0107017439   0.0587459442    -0.0697484632   0.0296500318    0.0552823933    -0.159182710    0.244504824     0.726422037     0.215656754     
+DEAL::0.0306371624    -0.0337473450   0.0197737125    0.00272662466   -0.0223261379   0.0284339698    -0.0154989189   -0.0144574044   0.0520751215    -0.0835866069   0.0951350668    0.924473344     
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -2.57172755e-16 -2.70128971e-16 4.35307172e-16  -3.02383986e-16 5.59665161e-16  1.15575952e-16  6.59194921e-17  6.10622664e-16  
+DEAL::-1.19370659e-16 1.00000000      4.87294666e-16  -4.62195386e-16 4.21429384e-16  -6.51171825e-16 -2.35922393e-16 -1.00613962e-16 -7.35522754e-16 
+DEAL::1.10453096e-18  1.17080282e-16  1.00000000      2.49420710e-16  -7.80896615e-17 2.48770188e-16  8.33751471e-17  5.11743425e-17  2.01227923e-16  
+DEAL::2.33069586e-17  -2.76674842e-17 2.33645568e-16  1.00000000      -1.37070260e-16 -2.16623594e-16 -3.82723367e-17 1.47451495e-17  -1.96023753e-16 
+DEAL::-7.31836466e-19 -2.01255028e-17 -4.14707331e-17 -1.91171948e-16 1.00000000      4.83012068e-16  2.17924637e-17  6.76542156e-17  1.64798730e-16  
+DEAL::4.23482592e-17  -1.04381564e-16 1.62047567e-16  -1.63375715e-16 6.87194442e-16  1.00000000      -2.66659524e-16 1.10154941e-16  -2.93168267e-16 
+DEAL::-3.23024485e-17 4.94802766e-17  -5.65919653e-17 2.54109884e-18  -2.61245290e-16 -3.61500109e-16 1.00000000      -1.90819582e-17 2.92300906e-16  
+DEAL::5.70832444e-17  -6.10947924e-17 1.69569220e-16  -2.04588950e-16 7.49834222e-16  2.79290480e-16  -7.78457160e-16 1.00000000      -7.63278329e-16 
+DEAL::-5.91974386e-17 1.17093835e-16  -1.63064007e-16 1.61329283e-16  -5.13478149e-16 -5.68989300e-16 6.03683770e-16  -4.99600361e-16 1.00000000      
+DEAL::Testing FE_DGQArbitraryNodes<1>(QGauss(9)) with QGauss(9)
+DEAL::shape values: 
+DEAL::1.00000000      0.00000000     0.00000000      0.00000000     0.00000000      0.00000000     0.00000000      0.00000000     0.00000000      
+DEAL::0.00000000      1.00000000      0.00000000     0.00000000      0.00000000     0.00000000      0.00000000     0.00000000      0.00000000     
+DEAL::0.00000000     0.00000000      1.00000000      0.00000000     0.00000000      0.00000000     0.00000000      0.00000000     0.00000000      
+DEAL::0.00000000      0.00000000     0.00000000      1.00000000      0.00000000     0.00000000      0.00000000     0.00000000      0.00000000     
+DEAL::0.00000000     0.00000000      0.00000000     0.00000000      1.00000000      0.00000000     0.00000000      0.00000000     0.00000000      
+DEAL::0.00000000      0.00000000     0.00000000      0.00000000     0.00000000      1.00000000      0.00000000     0.00000000      0.00000000     
+DEAL::0.00000000     0.00000000      0.00000000     0.00000000      0.00000000     0.00000000      1.00000000      0.00000000     0.00000000      
+DEAL::0.00000000      0.00000000     0.00000000      0.00000000     0.00000000      0.00000000     0.00000000      1.00000000      0.00000000     
+DEAL::0.00000000     0.00000000      0.00000000     0.00000000      0.00000000     0.00000000      0.00000000     0.00000000      1.00000000      
+DEAL::inverse shape values: 
+DEAL::1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      0.00000000      1.00000000      
+DEAL::Testing FE_DGQArbitraryNodes<1>(QGauss(9)) with QGauss(12)
+DEAL::shape values: 
+DEAL::1.22270582      0.302034400     -0.0718986778   0.0116256893    0.00964475148   -0.0144602620   0.0111478083    -0.00433387523  -0.00284642633  0.00820134686   -0.0103313660   0.00840363400   
+DEAL::-0.367903565    0.928356398     0.704381569     -0.0581715540   -0.0404105419   0.0560357992    -0.0414351268   0.0157162452    0.0101647804    -0.0290047136   0.0363234615    -0.0294570176   
+DEAL::0.251412470     -0.375865764    0.514479334     0.960099964     0.133222118     -0.141072282    0.0932335416    -0.0333380069   -0.0208329847   0.0582184605    -0.0720146396   0.0580384323    
+DEAL::-0.184661092    0.247119015     -0.236952730    0.124682587     0.984274771     0.453704942     -0.200887674    0.0619762098    0.0359813472    -0.0965107325   0.116654835     -0.0929527955   
+DEAL::0.134414114     -0.172276341    0.149086143     -0.0607034025   -0.126751672    0.783733254     0.783733254     -0.126751672    -0.0607034025   0.149086143     -0.172276341    0.134414114     
+DEAL::-0.0929527955   0.116654835     -0.0965107325   0.0359813472    0.0619762098    -0.200887674    0.453704942     0.984274771     0.124682587     -0.236952730    0.247119015     -0.184661092    
+DEAL::0.0580384323    -0.0720146396   0.0582184605    -0.0208329847   -0.0333380069   0.0932335416    -0.141072282    0.133222118     0.960099964     0.514479334     -0.375865764    0.251412470     
+DEAL::-0.0294570176   0.0363234615    -0.0290047136   0.0101647804    0.0157162452    -0.0414351268   0.0560357992    -0.0404105419   -0.0581715540   0.704381569     0.928356398     -0.367903565    
+DEAL::0.00840363400   -0.0103313660   0.00820134686   -0.00284642633  -0.00433387523  0.0111478083    -0.0144602620   0.00964475148   0.0116256893    -0.0718986778   0.302034400     1.22270582      
+DEAL::inverse shape values: 
+DEAL::0.709713841     0.397411236     -0.141611895    0.0290615707    0.0277083289    -0.0443280058   0.0341736625    -0.0124507553   -0.00711541637  0.0161534024    -0.0135938188   0.00487784982   
+DEAL::-0.0960761205   0.549564452     0.624175877     -0.0654231125   -0.0522316967   0.0772836755    -0.0571466623   0.0203136635    0.0114319031    -0.0257020391   0.0215026075    -0.00769254836  
+DEAL::0.0455102881    -0.154233238    0.316015394     0.748476719     0.119359530     -0.134866845    0.0891324178    -0.0298689804   -0.0162410214   0.0357602891    -0.0295505792   0.0105060253    
+DEAL::-0.0278902854   0.0846069738    -0.121438617    0.0811002958    0.735786661     0.361902685     -0.160240240    0.0463298155    0.0234042136    -0.0494618899   0.0399395109    -0.0140391242   
+DEAL::0.0192013185    -0.0557871603   0.0722671610    -0.0373455007   -0.0896185414   0.591282723     0.591282723     -0.0896185414   -0.0373455007   0.0722671610    -0.0557871603   0.0192013185    
+DEAL::-0.0140391242   0.0399395109    -0.0494618899   0.0234042136    0.0463298155    -0.160240240    0.361902685     0.735786661     0.0811002958    -0.121438617    0.0846069738    -0.0278902854   
+DEAL::0.0105060253    -0.0295505792   0.0357602891    -0.0162410214   -0.0298689804   0.0891324178    -0.134866845    0.119359530     0.748476719     0.316015394     -0.154233238    0.0455102881    
+DEAL::-0.00769254836  0.0215026075    -0.0257020391   0.0114319031    0.0203136635    -0.0571466623   0.0772836755    -0.0522316967   -0.0654231125   0.624175877     0.549564452     -0.0960761205   
+DEAL::0.00487784982   -0.0135938188   0.0161534024    -0.00711541637  -0.0124507553   0.0341736625    -0.0443280058   0.0277083289    0.0290615707    -0.141611895    0.397411236     0.709713841     
+DEAL::inverse shapes' * shapes: 
+DEAL::0.924473344     0.0951350668    -0.0835866069   0.0520751215    -0.0144574044   -0.0154989189   0.0284339698    -0.0223261379   0.00272662466   0.0197737125    -0.0337473450   0.0306371624    
+DEAL::0.215656754     0.726422037     0.244504824     -0.159182710    0.0552823933    0.0296500318    -0.0697484632   0.0587459442    -0.0107017439   -0.0466859679   0.0832770998    -0.0765001081   
+DEAL::-0.283631350    0.366001218     0.659705797     0.243090674     -0.117909390    0.00849918782   0.0538957578    -0.0595237826   0.0212571049    0.0324792497    -0.0698845970   0.0670974091    
+DEAL::0.224269062     -0.302421409    0.308524628     0.736451810     0.189398760     -0.108917729    0.0409102145    0.00399493461   -0.0245782798   0.0269789880    -0.0203315829   0.0117426045    
+DEAL::-0.0715563742   0.120704204     -0.171984321    0.217668736     0.758095161     0.230354800     -0.177893991    0.0927214781    0.00459122522   -0.0868222396   0.128266560     -0.110502372    
+DEAL::-0.0818544215   0.0690785899    0.0132281962    -0.133567328    0.245798939     0.694851851     0.285463290     -0.189820896    0.0501687660    0.0838837396    -0.162499842    0.150168290     
+DEAL::0.150168290     -0.162499842    0.0838837396    0.0501687660    -0.189820896    0.285463290     0.694851851     0.245798939     -0.133567328    0.0132281962    0.0690785899    -0.0818544215   
+DEAL::-0.110502372    0.128266560     -0.0868222396   0.00459122522   0.0927214781    -0.177893991    0.230354800     0.758095161     0.217668736     -0.171984321    0.120704204     -0.0715563742   
+DEAL::0.0117426045    -0.0203315829   0.0269789880    -0.0245782798   0.00399493461   0.0409102145    -0.108917729    0.189398760     0.736451810     0.308524628     -0.302421409    0.224269062     
+DEAL::0.0670974091    -0.0698845970   0.0324792497    0.0212571049    -0.0595237826   0.0538957578    0.00849918782   -0.117909390    0.243090674     0.659705797     0.366001218     -0.283631350    
+DEAL::-0.0765001081   0.0832770998    -0.0466859679   -0.0107017439   0.0587459442    -0.0697484632   0.0296500318    0.0552823933    -0.159182710    0.244504824     0.726422037     0.215656754     
+DEAL::0.0306371624    -0.0337473450   0.0197737125    0.00272662466   -0.0223261379   0.0284339698    -0.0154989189   -0.0144574044   0.0520751215    -0.0835866069   0.0951350668    0.924473344     
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      7.12320827e-17  9.70360944e-17  4.56449115e-17  5.20417043e-18  7.17741838e-17  9.97465999e-18  -3.66460334e-17 5.81132364e-17  
+DEAL::4.75829228e-17  1.00000000      -3.30681663e-18 -2.52619106e-17 -4.11996826e-18 -1.08420217e-16 -2.49366500e-17 6.15826834e-17  -9.19403442e-17 
+DEAL::2.70101866e-17  9.59518923e-18  1.00000000      2.18791998e-16  -6.07153217e-17 2.07299455e-16  9.10729825e-18  -8.02309608e-17 1.17961196e-16  
+DEAL::1.15196481e-17  -1.08962318e-17 1.82688066e-16  1.00000000      -8.71698547e-17 -1.87783816e-16 -7.19910243e-17 1.22298005e-16  -1.73472348e-16 
+DEAL::2.71050543e-18  3.90312782e-18  -2.77555756e-17 -6.67868538e-17 1.00000000      4.58834359e-16  9.36750677e-17  -1.71737624e-16 2.22044605e-16  
+DEAL::1.74014449e-17  -5.24753851e-17 1.69569220e-16  -1.87783816e-16 5.02202446e-16  1.00000000      -6.16694196e-16 4.16333634e-16  -3.67761377e-16 
+DEAL::2.76471554e-18  -1.79977561e-17 6.50521303e-18  -7.54604712e-17 1.23165367e-16  -7.25114413e-16 1.00000000      -3.95516953e-16 5.34294831e-16  
+DEAL::-1.70219741e-17 6.15826834e-17  -1.17961196e-16 2.09901541e-16  -3.00107161e-16 6.97358837e-16  -6.41847686e-16 1.00000000      -1.01307851e-15 
+DEAL::5.89805982e-17  -2.08166817e-16 3.81639165e-16  -6.80011603e-16 9.15933995e-16  -1.41553436e-15 1.69309011e-15  -2.22044605e-15 1.00000000      
+DEAL::Testing FE_DGQ<1>(3) with QGaussLobatto(4)
+DEAL::shape values: 
+DEAL::1.00000000      0.00000000     0.00000000      0.00000000     
+DEAL::0.00000000      1.00000000      0.00000000     0.00000000      
+DEAL::0.00000000     0.00000000      1.00000000      0.00000000     
+DEAL::0.00000000      0.00000000     0.00000000      1.00000000      
+DEAL::inverse shape values: 
+DEAL::1.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      1.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      1.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      1.00000000      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      1.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      1.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      1.00000000      
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      0.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      1.00000000      0.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      1.00000000      0.00000000      
+DEAL::0.00000000      0.00000000      0.00000000      1.00000000      
+DEAL::Testing FE_DGQ<1>(3) with QGaussLobatto(5)
+DEAL::shape values: 
+DEAL::1.00000000      0.236379096     -0.125000000    0.0493351899    0.00000000     
+DEAL::0.00000000      0.879946468     0.625000000     -0.165660753    0.00000000      
+DEAL::0.00000000     -0.165660753    0.625000000     0.879946468     0.00000000     
+DEAL::0.00000000      0.0493351899    -0.125000000    0.236379096     1.00000000      
+DEAL::inverse shape values: 
+DEAL::0.800000000     0.466666667     -0.533333333    0.466666667     -0.200000000    
+DEAL::-0.0894427191   0.711524369     0.533333333     -0.244857702    0.0894427191    
+DEAL::0.0894427191    -0.244857702    0.533333333     0.711524369     -0.0894427191   
+DEAL::-0.200000000    0.466666667     -0.533333333    0.466666667     0.800000000     
+DEAL::inverse shapes' * shapes: 
+DEAL::0.800000000     0.0857142857    -0.0750000000   0.0857142857    -0.200000000    
+DEAL::0.466666667     0.800000000     0.175000000     -0.200000000    0.466666667     
+DEAL::-0.533333333    0.228571429     0.800000000     0.228571429     -0.533333333    
+DEAL::0.466666667     -0.200000000    0.175000000     0.800000000     0.466666667     
+DEAL::-0.200000000    0.0857142857    -0.0750000000   0.0857142857    0.800000000     
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -1.38777878e-17 -5.55111512e-17 2.77555756e-17  
+DEAL::5.89805982e-17  1.00000000      -2.22044605e-16 2.77555756e-17  
+DEAL::-6.93889390e-18 -2.08166817e-16 1.00000000      -2.77555756e-17 
+DEAL::-4.16333634e-17 4.71844785e-16  -3.33066907e-16 1.00000000      
+DEAL::Testing FE_Q<1>(3) with QGauss(4)
+DEAL::shape values: 
+DEAL::0.629943166     -0.0706947953   -0.0348213172   0.0470015178    
+DEAL::0.472558747     0.972976186     0.132539926     -0.149503431    
+DEAL::-0.149503431    0.132539926     0.972976186     0.472558747     
+DEAL::0.0470015178    -0.0348213172   -0.0706947953   0.629943166     
+DEAL::inverse shape values: 
+DEAL::1.52678813      -0.813632449    0.400761520     -0.113917196    
+DEAL::0.102442037     1.00158549      -0.136437118    0.0324095916    
+DEAL::0.0324095916    -0.136437118    1.00158549      0.102442037     
+DEAL::-0.113917196    0.400761520     -0.813632449    1.52678813      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.00000000      4.25007252e-17  0.00000000      -2.77555756e-17 
+DEAL::6.93889390e-18  1.00000000      1.04083409e-17  5.55111512e-17  
+DEAL::-6.24500451e-17 -9.02056208e-17 1.00000000      -1.11022302e-16 
+DEAL::0.00000000      6.93889390e-18  0.00000000      1.00000000      
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -3.26128013e-16 -1.73472348e-16 1.38777878e-17  
+DEAL::-4.33680869e-18 1.00000000      5.20417043e-18  -3.46944695e-18 
+DEAL::1.47451495e-17  -9.54097912e-17 1.00000000      2.77555756e-17  
+DEAL::-2.77555756e-17 1.66533454e-16  2.22044605e-16  1.00000000      
+DEAL::Testing FE_Q<1>(3) with QGauss(5)
+DEAL::shape values: 
+DEAL::0.740028950     0.0864900503    -0.125000000    0.0259464471    0.0364234415    
+DEAL::0.338258799     0.978118936     0.625000000     -0.0905554331   -0.114711190    
+DEAL::-0.114711190    -0.0905554331   0.625000000     0.978118936     0.338258799     
+DEAL::0.0364234415    0.0259464471    -0.125000000    0.0864900503    0.740028950     
+DEAL::inverse shape values: 
+DEAL::1.28941203      -0.151162376    -0.426666667    0.474054364     -0.185637354    
+DEAL::-0.0100043193   0.740467570     0.426666667     -0.230691563    0.0735616456    
+DEAL::0.0735616456    -0.230691563    0.426666667     0.740467570     -0.0100043193   
+DEAL::-0.185637354    0.474054364     -0.426666667    -0.151162376    1.28941203      
+DEAL::inverse shapes' * shapes: 
+DEAL::0.935618289     0.0902578610    -0.0982485060   0.0902578610    -0.0643817113   
+DEAL::0.182334732     0.744381711     0.278248506     -0.255618289    0.182334732     
+DEAL::-0.235906041    0.330720856     0.640000000     0.330720856     -0.235906041    
+DEAL::0.182334732     -0.255618289    0.278248506     0.744381711     0.182334732     
+DEAL::-0.0643817113   0.0902578610    -0.0982485060   0.0902578610    0.935618289     
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -1.73472348e-17 0.00000000      0.00000000      
+DEAL::2.03830008e-17  1.00000000      -6.59194921e-17 6.93889390e-18  
+DEAL::8.89045781e-18  -1.08637058e-16 1.00000000      -3.20923843e-17 
+DEAL::-6.93889390e-17 3.33066907e-16  -3.33066907e-16 1.00000000      
+DEAL::Testing FE_DGQ<2>(3) with QGauss(4)
+DEAL::shape values: 
+DEAL::0.629943166     -0.0706947953   -0.0348213172   0.0470015178    
+DEAL::0.472558747     0.972976186     0.132539926     -0.149503431    
+DEAL::-0.149503431    0.132539926     0.972976186     0.472558747     
+DEAL::0.0470015178    -0.0348213172   -0.0706947953   0.629943166     
+DEAL::inverse shape values: 
+DEAL::1.52678813      -0.813632449    0.400761520     -0.113917196    
+DEAL::0.102442037     1.00158549      -0.136437118    0.0324095916    
+DEAL::0.0324095916    -0.136437118    1.00158549      0.102442037     
+DEAL::-0.113917196    0.400761520     -0.813632449    1.52678813      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.00000000      5.46437895e-17  5.20417043e-18  -2.77555756e-17 
+DEAL::5.55111512e-17  1.00000000      1.38777878e-17  5.55111512e-17  
+DEAL::-2.77555756e-17 -1.24900090e-16 1.00000000      0.00000000      
+DEAL::0.00000000      6.93889390e-18  0.00000000      1.00000000      
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -2.25514052e-16 -1.66533454e-16 1.38777878e-17  
+DEAL::-5.42101086e-18 1.00000000      3.46944695e-18  -3.46944695e-18 
+DEAL::1.38777878e-17  -1.19695920e-16 1.00000000      2.77555756e-17  
+DEAL::-2.77555756e-17 2.22044605e-16  3.33066907e-16  1.00000000      
+DEAL::Testing FE_DGQ<2>(3) with QGauss(5)
+DEAL::shape values: 
+DEAL::0.740028950     0.0864900503    -0.125000000    0.0259464471    0.0364234415    
+DEAL::0.338258799     0.978118936     0.625000000     -0.0905554331   -0.114711190    
+DEAL::-0.114711190    -0.0905554331   0.625000000     0.978118936     0.338258799     
+DEAL::0.0364234415    0.0259464471    -0.125000000    0.0864900503    0.740028950     
+DEAL::inverse shape values: 
+DEAL::1.28941203      -0.151162376    -0.426666667    0.474054364     -0.185637354    
+DEAL::-0.0100043193   0.740467570     0.426666667     -0.230691563    0.0735616456    
+DEAL::0.0735616456    -0.230691563    0.426666667     0.740467570     -0.0100043193   
+DEAL::-0.185637354    0.474054364     -0.426666667    -0.151162376    1.28941203      
+DEAL::inverse shapes' * shapes: 
+DEAL::0.935618289     0.0902578610    -0.0982485060   0.0902578610    -0.0643817113   
+DEAL::0.182334732     0.744381711     0.278248506     -0.255618289    0.182334732     
+DEAL::-0.235906041    0.330720856     0.640000000     0.330720856     -0.235906041    
+DEAL::0.182334732     -0.255618289    0.278248506     0.744381711     0.182334732     
+DEAL::-0.0643817113   0.0902578610    -0.0982485060   0.0902578610    0.935618289     
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -6.93889390e-17 -4.16333634e-17 0.00000000      
+DEAL::1.34441069e-17  1.00000000      -1.00613962e-16 6.93889390e-18  
+DEAL::1.24141149e-17  -1.22514845e-16 1.00000000      -2.34187669e-17 
+DEAL::-6.93889390e-17 3.60822483e-16  -2.77555756e-16 1.00000000      
+DEAL::Testing FE_Q<2>(3) with QGauss(4)
+DEAL::shape values: 
+DEAL::0.629943166     -0.0706947953   -0.0348213172   0.0470015178    
+DEAL::0.472558747     0.972976186     0.132539926     -0.149503431    
+DEAL::-0.149503431    0.132539926     0.972976186     0.472558747     
+DEAL::0.0470015178    -0.0348213172   -0.0706947953   0.629943166     
+DEAL::inverse shape values: 
+DEAL::1.52678813      -0.813632449    0.400761520     -0.113917196    
+DEAL::0.102442037     1.00158549      -0.136437118    0.0324095916    
+DEAL::0.0324095916    -0.136437118    1.00158549      0.102442037     
+DEAL::-0.113917196    0.400761520     -0.813632449    1.52678813      
+DEAL::inverse shapes' * shapes: 
+DEAL::1.00000000      5.46437895e-17  5.20417043e-18  -2.77555756e-17 
+DEAL::5.55111512e-17  1.00000000      1.38777878e-17  5.55111512e-17  
+DEAL::-2.77555756e-17 -1.24900090e-16 1.00000000      0.00000000      
+DEAL::0.00000000      6.93889390e-18  0.00000000      1.00000000      
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -2.25514052e-16 -1.66533454e-16 1.38777878e-17  
+DEAL::-5.42101086e-18 1.00000000      3.46944695e-18  -3.46944695e-18 
+DEAL::1.38777878e-17  -1.19695920e-16 1.00000000      2.77555756e-17  
+DEAL::-2.77555756e-17 2.22044605e-16  3.33066907e-16  1.00000000      
+DEAL::Testing FE_Q<2>(3) with QGauss(5)
+DEAL::shape values: 
+DEAL::0.740028950     0.0864900503    -0.125000000    0.0259464471    0.0364234415    
+DEAL::0.338258799     0.978118936     0.625000000     -0.0905554331   -0.114711190    
+DEAL::-0.114711190    -0.0905554331   0.625000000     0.978118936     0.338258799     
+DEAL::0.0364234415    0.0259464471    -0.125000000    0.0864900503    0.740028950     
+DEAL::inverse shape values: 
+DEAL::1.28941203      -0.151162376    -0.426666667    0.474054364     -0.185637354    
+DEAL::-0.0100043193   0.740467570     0.426666667     -0.230691563    0.0735616456    
+DEAL::0.0735616456    -0.230691563    0.426666667     0.740467570     -0.0100043193   
+DEAL::-0.185637354    0.474054364     -0.426666667    -0.151162376    1.28941203      
+DEAL::inverse shapes' * shapes: 
+DEAL::0.935618289     0.0902578610    -0.0982485060   0.0902578610    -0.0643817113   
+DEAL::0.182334732     0.744381711     0.278248506     -0.255618289    0.182334732     
+DEAL::-0.235906041    0.330720856     0.640000000     0.330720856     -0.235906041    
+DEAL::0.182334732     -0.255618289    0.278248506     0.744381711     0.182334732     
+DEAL::-0.0643817113   0.0902578610    -0.0982485060   0.0902578610    0.935618289     
+DEAL::inverse shapes * shapes': 
+DEAL::1.00000000      -6.93889390e-17 -4.16333634e-17 0.00000000      
+DEAL::1.34441069e-17  1.00000000      -1.00613962e-16 6.93889390e-18  
+DEAL::1.24141149e-17  -1.22514845e-16 1.00000000      -2.34187669e-17 
+DEAL::-6.93889390e-17 3.60822483e-16  -2.77555756e-16 1.00000000      
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