Implement divergence for FEPointEvaluation

diff --git a/include/deal.II/matrix_free/fe_point_evaluation.h b/include/deal.II/matrix_free/fe_point_evaluation.h
index ef56931f7e4b1d41494b72c7b2a54f1fcc017793..faf53a02ddce9c259769fbf87318b4aebc403038 100644 (file)
--- a/include/deal.II/matrix_free/fe_point_evaluation.h
+++ b/include/deal.II/matrix_free/fe_point_evaluation.h
@@ -745,6 +745,34 @@ public:
   void
   submit_gradient(const gradient_type &, const unsigned int point_index);
 
+  /**
+   * Return the divergence in real coordinates at the point with index
+   * `point_index` after a call to FEPointEvaluation::evaluate() with
+   * EvaluationFlags::gradients set, or the divergence that has been stored
+   * there with a call to FEPointEvaluationBase::submit_divergence(). This
+   * functions only makes sense for a vector field with dim components.
+   */
+  Number
+  get_divergence(const unsigned int point_index) const;
+
+  /**
+   * Write a contribution that is tested by the divergence to the field
+   * containing the values on points with the given `point_index`. Access to
+   * the same field as through get_divergence(). If applied before the function
+   * FEPointEvaluation::integrate(EvaluationFlags::gradients) is called,
+   * this specifies what is tested by all basis function gradients on the
+   * current cell and integrated over.
+   *
+   * @note This operation writes the data to the same field as
+   * submit_gradient(). As a consequence, only one of these functions can be
+   * used. In case several terms of this kind appear in a weak form, the
+   * contribution of a potential call to this function must be added into the
+   * diagonal of the rank-2 tensor contribution passed to submit_gradient(),
+   * in order not to overwrite information.
+   */
+  void
+  submit_divergence(const Number &value, const unsigned int point_index);
+
   /**
    * Return the Jacobian of the transformation on the current cell with the
    * given point index. Prerequisite: This class needs to be constructed with
@@ -2118,6 +2146,20 @@ FEPointEvaluationBase<n_components_, dim, spacedim, Number>::get_gradient(
 
 
 
+template <int n_components_, int dim, int spacedim, typename Number>
+inline Number
+FEPointEvaluationBase<n_components_, dim, spacedim, Number>::get_divergence(
+  const unsigned int point_index) const
+{
+  static_assert(n_components == dim,
+                "Only makes sense for a vector field with dim components");
+
+  AssertIndexRange(point_index, values.size());
+  return trace(gradients[point_index]);
+}
+
+
+
 template <int n_components_, int dim, int spacedim, typename Number>
 inline void
 FEPointEvaluationBase<n_components_, dim, spacedim, Number>::submit_value(
@@ -2142,6 +2184,23 @@ FEPointEvaluationBase<n_components_, dim, spacedim, Number>::submit_gradient(
 
 
 
+template <int n_components_, int dim, int spacedim, typename Number>
+inline void
+FEPointEvaluationBase<n_components_, dim, spacedim, Number>::submit_divergence(
+  const Number      &value,
+  const unsigned int point_index)
+{
+  static_assert(n_components == dim,
+                "Only makes sense for a vector field with dim components");
+
+  AssertIndexRange(point_index, n_q_points);
+  gradients[point_index] = gradient_type();
+  for (unsigned int d = 0; d < dim; ++d)
+    gradients[point_index][d][d] = value;
+}
+
+
+
 template <int n_components_, int dim, int spacedim, typename Number>
 inline DerivativeForm<1, dim, spacedim, Number>
 FEPointEvaluationBase<n_components_, dim, spacedim, Number>::jacobian(

diff --git a/tests/matrix_free/point_evaluation_34.cc b/tests/matrix_free/point_evaluation_34.cc
new file mode 100644 (file)
index 0000000..aa5c7d1
--- /dev/null
+++ b/tests/matrix_free/point_evaluation_34.cc
@@ -0,0 +1,151 @@
+// ------------------------------------------------------------------------
+//
+// SPDX-License-Identifier: LGPL-2.1-or-later
+// Copyright (C) 2020 - 2024 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// Part of the source code is dual licensed under Apache-2.0 WITH
+// LLVM-exception OR LGPL-2.1-or-later. Detailed license information
+// governing the source code and code contributions can be found in
+// LICENSE.md and CONTRIBUTING.md at the top level directory of deal.II.
+//
+// ------------------------------------------------------------------------
+
+
+// check FEPointEvaluation for vector-valued FE_Q and MappingQ by
+// comparing to the output of FEValues with the same settings for divergence
+
+#include <deal.II/base/function_lib.h>
+
+#include <deal.II/dofs/dof_handler.h>
+
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_system.h>
+#include <deal.II/fe/fe_values.h>
+#include <deal.II/fe/mapping_q.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/tria.h>
+
+#include <deal.II/lac/vector.h>
+
+#include <deal.II/matrix_free/fe_point_evaluation.h>
+
+#include <deal.II/numerics/vector_tools.h>
+
+#include <iostream>
+
+#include "../tests.h"
+
+
+
+template <int dim>
+class MyFunction : public Function<dim>
+{
+public:
+  MyFunction()
+    : Function<dim>(dim)
+  {}
+
+  double
+  value(const Point<dim> &p, const unsigned int component) const override
+  {
+    return component + p[component];
+  }
+};
+
+
+
+template <int dim>
+void
+test(const unsigned int degree)
+{
+  Triangulation<dim> tria;
+
+  if (dim > 1)
+    GridGenerator::hyper_shell(tria, Point<dim>(), 0.5, 1, 6);
+  else
+    GridGenerator::subdivided_hyper_cube(tria, 2, 0, 1);
+
+  MappingQ<dim> mapping(degree);
+  deallog << "Mapping of degree " << degree << std::endl;
+
+  std::vector<Point<dim>> unit_points;
+  for (unsigned int i = 0; i < 13; ++i)
+    {
+      Point<dim> p;
+      for (unsigned int d = 0; d < dim; ++d)
+        p[d] = static_cast<double>(i) / 17. + 0.015625 * d;
+      unit_points.push_back(p);
+    }
+
+  FESystem<dim> fe(FE_Q<dim>(degree), dim);
+  FEValues<dim> fe_values(mapping,
+                          fe,
+                          Quadrature<dim>(unit_points),
+                          update_values | update_gradients);
+
+  DoFHandler<dim> dof_handler(tria);
+  dof_handler.distribute_dofs(fe);
+  Vector<double> vector(dof_handler.n_dofs());
+
+  FEPointEvaluation<dim, dim> evaluator(mapping,
+                                        fe,
+                                        update_values | update_gradients);
+
+  VectorTools::interpolate(mapping, dof_handler, MyFunction<dim>(), vector);
+
+  std::vector<double>         solution_values(fe.dofs_per_cell);
+  std::vector<Tensor<2, dim>> function_gradients(unit_points.size());
+
+  const FEValuesExtractors::Vector extractor(0);
+
+  for (const auto &cell : dof_handler.active_cell_iterators())
+    {
+      fe_values.reinit(cell);
+      fe_values[extractor].get_function_gradients(vector, function_gradients);
+
+      cell->get_dof_values(vector,
+                           solution_values.begin(),
+                           solution_values.end());
+
+      evaluator.reinit(cell, unit_points);
+      evaluator.evaluate(solution_values, EvaluationFlags::gradients);
+
+      deallog << "Cell with center " << cell->center(true) << std::endl;
+      for (unsigned int i = 0; i < function_gradients.size(); ++i)
+        deallog << mapping.transform_unit_to_real_cell(cell, unit_points[i])
+                << ": "
+                << " error div "
+                << (evaluator.get_divergence(i) - trace(function_gradients[i]))
+                << std::endl;
+      deallog << std::endl;
+
+      for (unsigned int i = 0; i < unit_points.size(); ++i)
+        {
+          evaluator.submit_divergence(evaluator.get_divergence(i), i);
+        }
+
+      evaluator.test_and_sum(solution_values,
+                             EvaluationFlags::values |
+                               EvaluationFlags::gradients);
+
+      for (const auto i : solution_values)
+        deallog << i << ' ';
+      deallog << std::endl;
+    }
+}
+
+
+
+int
+main()
+{
+  initlog();
+  deallog << std::setprecision(10);
+
+  test<2>(2);
+  test<2>(6);
+  test<3>(5);
+}

diff --git a/tests/matrix_free/point_evaluation_34.output b/tests/matrix_free/point_evaluation_34.output
new file mode 100644 (file)
index 0000000..e2d2195
--- /dev/null
+++ b/tests/matrix_free/point_evaluation_34.output
@@ -0,0 +1,292 @@
+
+DEAL::Mapping of degree 2
+DEAL::Cell with center 0.6495190528 0.3750000000
+DEAL::0.9921875000 0.000000000:  error div -4.440892099e-16
+DEAL::0.9591965610 0.06332871922:  error div 0.000000000
+DEAL::0.9234265460 0.1210574346:  error div 1.332267630e-15
+DEAL::0.8851608469 0.1733497625:  error div 0.000000000
+DEAL::0.8446828558 0.2203693193:  error div 8.881784197e-16
+DEAL::0.8022759646 0.2622797217:  error div -4.440892099e-16
+DEAL::0.7582235654 0.2992445859:  error div -4.440892099e-16
+DEAL::0.7128090500 0.3314275284:  error div 4.440892099e-16
+DEAL::0.6663158106 0.3589921657:  error div 0.000000000
+DEAL::0.6190272391 0.3821021142:  error div 0.000000000
+DEAL::0.5712267275 0.4009209903:  error div 4.440892099e-16
+DEAL::0.5231976677 0.4156124105:  error div -4.440892099e-16
+DEAL::0.4752234518 0.4263399913:  error div -4.440892099e-16
+DEAL::
+DEAL::40.43908227 -13.14205648 -3.578883014 -5.553533126 8.227958848 3.957009142 -5.147953684 0.1900059757 -36.59105791 -33.60797647 -3.649829180 18.82975583 38.97984559 37.66060963 -21.71143866 -22.33452975 -16.96772425 14.00071525 
+DEAL::Cell with center 4.592425497e-17 0.7500000000
+DEAL::0.4960937500 0.8592595803:  error div -1.776356839e-15
+DEAL::0.4247540009 0.8623529487:  error div 1.776356839e-15
+DEAL::0.3568744593 0.8602395646:  error div -1.110223025e-15
+DEAL::0.2924551254 0.8532466611:  error div 1.332267630e-15
+DEAL::0.2314959991 0.8417014709:  error div -4.440892099e-16
+DEAL::0.1739970804 0.8259312270:  error div 8.881784197e-16
+DEAL::0.1199583694 0.8062631623:  error div 8.881784197e-16
+DEAL::0.06937986592 0.7830245096:  error div -8.881784197e-16
+DEAL::0.02226157007 0.7565425018:  error div 4.440892099e-16
+DEAL::-0.02139651817 0.7271443718:  error div 1.332267630e-15
+DEAL::-0.06159439879 0.6951573525:  error div 4.440892099e-16
+DEAL::-0.09833207180 0.6609086767:  error div -8.881784197e-16
+DEAL::-0.1316095372 0.6247255774:  error div -1.110223025e-15
+DEAL::
+DEAL::31.60089591 28.45024431 3.020059261 -5.876170170 0.6871089836 9.104125955 -2.738526844 -4.363255680 10.80983244 -48.49277394 -18.13196148 6.254033124 -13.12512187 52.58784133 8.486550812 -29.96992230 -20.60883721 -7.694122623 
+DEAL::Cell with center -0.6495190528 0.3750000000
+DEAL::-0.4960937500 0.8592595803:  error div 0.000000000
+DEAL::-0.5344425601 0.7990242294:  error div -4.440892099e-16
+DEAL::-0.5665520866 0.7391821301:  error div -8.881784197e-16
+DEAL::-0.5927057215 0.6798968986:  error div 4.440892099e-16
+DEAL::-0.6131868567 0.6213321516:  error div 4.440892099e-16
+DEAL::-0.6282788842 0.5636515054:  error div 4.440892099e-16
+DEAL::-0.6382651960 0.5070185764:  error div 0.000000000
+DEAL::-0.6434291841 0.4515969812:  error div 0.000000000
+DEAL::-0.6440542406 0.3975503361:  error div -4.440892099e-16
+DEAL::-0.6404237573 0.3450422576:  error div 0.000000000
+DEAL::-0.6328211262 0.2942363621:  error div 8.881784197e-16
+DEAL::-0.6215297395 0.2452962662:  error div 0.000000000
+DEAL::-0.6068329890 0.1983855861:  error div -4.440892099e-16
+DEAL::
+DEAL::-8.838186362 41.59230079 6.598942275 -0.3226370441 -7.540849864 5.147116812 2.409426840 -4.553261656 47.40089035 -14.88479747 -14.48213230 -12.57572270 -52.10496745 14.92723170 30.19798947 -7.635392559 -3.641112952 -21.69483787 
+DEAL::Cell with center -0.6495190528 -0.3750000000
+DEAL::-0.9921875000 1.215079246e-16:  error div -8.881784197e-16
+DEAL::-0.9591965610 -0.06332871922:  error div -8.881784197e-16
+DEAL::-0.9234265460 -0.1210574346:  error div 0.000000000
+DEAL::-0.8851608469 -0.1733497625:  error div -4.440892099e-16
+DEAL::-0.8446828558 -0.2203693193:  error div 4.440892099e-16
+DEAL::-0.8022759646 -0.2622797217:  error div 6.661338148e-16
+DEAL::-0.7582235654 -0.2992445859:  error div 4.440892099e-16
+DEAL::-0.7128090500 -0.3314275284:  error div 8.881784197e-16
+DEAL::-0.6663158106 -0.3589921657:  error div 0.000000000
+DEAL::-0.6190272391 -0.3821021142:  error div -2.220446049e-16
+DEAL::-0.5712267275 -0.4009209903:  error div -4.440892099e-16
+DEAL::-0.5231976677 -0.4156124105:  error div 0.000000000
+DEAL::-0.4752234518 -0.4263399913:  error div 4.440892099e-16
+DEAL::
+DEAL::-40.43908227 13.14205648 3.578883014 5.553533126 -8.227958848 -3.957009142 5.147953684 -0.1900059757 36.59105791 33.60797647 3.649829180 -18.82975583 -38.97984559 -37.66060963 21.71143866 22.33452975 16.96772425 -14.00071525 
+DEAL::Cell with center -1.377727649e-16 -0.7500000000
+DEAL::-0.4960937500 -0.8592595803:  error div 4.440892099e-16
+DEAL::-0.4247540009 -0.8623529487:  error div 0.000000000
+DEAL::-0.3568744593 -0.8602395646:  error div 0.000000000
+DEAL::-0.2924551254 -0.8532466611:  error div 0.000000000
+DEAL::-0.2314959991 -0.8417014709:  error div 0.000000000
+DEAL::-0.1739970804 -0.8259312270:  error div -4.440892099e-16
+DEAL::-0.1199583694 -0.8062631623:  error div 0.000000000
+DEAL::-0.06937986592 -0.7830245096:  error div 0.000000000
+DEAL::-0.02226157007 -0.7565425018:  error div 0.000000000
+DEAL::0.02139651817 -0.7271443718:  error div 2.220446049e-16
+DEAL::0.06159439879 -0.6951573525:  error div 0.000000000
+DEAL::0.09833207180 -0.6609086767:  error div 0.000000000
+DEAL::0.1316095372 -0.6247255774:  error div 4.440892099e-16
+DEAL::
+DEAL::-31.60089591 -28.45024431 -3.020059261 5.876170170 -0.6871089836 -9.104125955 2.738526844 4.363255680 -10.80983244 48.49277394 18.13196148 -6.254033124 13.12512187 -52.58784133 -8.486550812 29.96992230 20.60883721 7.694122623 
+DEAL::Cell with center 0.6495190528 -0.3750000000
+DEAL::0.4960937500 -0.8592595803:  error div -4.440892099e-16
+DEAL::0.5344425601 -0.7990242294:  error div 0.000000000
+DEAL::0.5665520866 -0.7391821301:  error div 2.220446049e-16
+DEAL::0.5927057215 -0.6798968986:  error div 0.000000000
+DEAL::0.6131868567 -0.6213321516:  error div 0.000000000
+DEAL::0.6282788842 -0.5636515054:  error div 0.000000000
+DEAL::0.6382651960 -0.5070185764:  error div 0.000000000
+DEAL::0.6434291841 -0.4515969812:  error div 4.440892099e-16
+DEAL::0.6440542406 -0.3975503361:  error div 4.440892099e-16
+DEAL::0.6404237573 -0.3450422576:  error div -4.440892099e-16
+DEAL::0.6328211262 -0.2942363621:  error div -4.440892099e-16
+DEAL::0.6215297395 -0.2452962662:  error div 0.000000000
+DEAL::0.6068329890 -0.1983855861:  error div 0.000000000
+DEAL::
+DEAL::8.838186362 -41.59230079 -6.598942275 0.3226370441 7.540849864 -5.147116812 -2.409426840 4.553261656 -47.40089035 14.88479747 14.48213230 12.57572270 52.10496745 -14.92723170 -30.19798947 7.635392559 3.641112952 21.69483787 
+DEAL::Mapping of degree 6
+DEAL::Cell with center 0.6495190528 0.3750000000
+DEAL::0.9921875000 0.000000000:  error div 4.440892099e-16
+DEAL::0.9609496573 0.05926936446:  error div 8.881784197e-16
+DEAL::0.9262895583 0.1146994816:  error div -2.220446049e-15
+DEAL::0.8885607198 0.1661007475:  error div -2.664535259e-15
+DEAL::0.8481266485 0.2133123969:  error div 2.220446049e-15
+DEAL::0.8053586039 0.2562030323:  error div -8.881784197e-16
+DEAL::0.7606333492 0.2946709691:  error div -3.996802889e-15
+DEAL::0.7143309018 0.3286444014:  error div 1.776356839e-15
+DEAL::0.6668322927 0.3580813945:  error div -4.440892099e-16
+DEAL::0.6185173440 0.3829697098:  error div -4.440892099e-16
+DEAL::0.5697624746 0.4033264664:  error div -4.440892099e-16
+DEAL::0.5209385434 0.4191976473:  error div -1.998401444e-15
+DEAL::0.4724087397 0.4306574530:  error div -1.110223025e-15
+DEAL::
+DEAL::72.47419682 -28.69804634 -0.5069382993 -1.657454901 1.503297318 0.4407982935 0.1189932662 0.2078487287 -90.39478470 27.01168973 -12.98846675 6.820324511 -3.977180634 -35.68884217 13.49952615 -8.276121052 4.040959801 -1.179507597 1.594914421 -2.357453772 2.259305601 -0.4106621894 -0.3444527209 1.371264282 -3.015891094 5.206884629 -2.810840246 -0.5842311852 21.62376025 -11.53327891 5.940156084 -3.155214556 1.395517657 42.74208791 -22.10278160 14.47083125 -9.281051417 4.480070457 -1.957424479 2.631080717 -2.798382233 2.363930619 -0.3767260301 -1.272867047 2.563346958 -5.241406318 5.258503380 -0.6831943295 34.16261919 44.18603351 -19.19047313 9.748377128 -4.402810300 -66.63460975 15.58035993 39.43434872 -16.17409053 6.662701694 23.50669951 -50.69095348 9.860172623 24.49605049 -6.844675706 -10.06052897 15.69060512 -26.47388354 -38.85024200 1.371957491 5.233160721 -7.220337084 8.160687683 -7.594599263 1.107228191 24.31108334 33.70930717 -21.25458994 12.78979753 -3.969403419 -52.72676371 19.05761880 53.77886708 -26.67623628 8.759645631 25.28036818 -67.06265450 19.27227662 61.18429822 -15.97301061 -11.69944513 24.27966182 -69.19793741 6.293768675 8.698309460 3.445112830 -7.162953608 15.76731345 -16.64435943 1.950038693 
+DEAL::Cell with center 4.592425497e-17 0.7500000000
+DEAL::0.4960937500 0.8592595803:  error div -1.376676551e-14
+DEAL::0.4291460533 0.8618414972:  error div 1.065814104e-14
+DEAL::0.3638121143 0.8595400296:  error div -6.661338148e-16
+DEAL::0.3004328929 0.8525665299:  error div 7.993605777e-15
+DEAL::0.2393293696 0.8411554217:  error div 1.776356839e-15
+DEAL::0.1808009674 0.8255625263:  error div -1.776356839e-15
+DEAL::0.1251241296 0.8060632879:  error div 8.881784197e-16
+DEAL::0.07255105048 0.7829509083:  error div 3.996802889e-15
+DEAL::0.02330856204 0.7565344028:  error div -1.332267630e-15
+DEAL::-0.02240282557 0.7271365875:  error div 1.332267630e-15
+DEAL::-0.06440972863 0.6950920104:  error div 0.000000000
+DEAL::-0.1025665400 0.6607448360:  error div 2.220446049e-15
+DEAL::-0.1367559248 0.6244466961:  error div -4.440892099e-16
+DEAL::
+DEAL::61.09033558 48.41547240 1.181928900 -1.267748896 0.3699061388 1.522292813 -0.1205056461 0.2069755557 -14.28994840 1.814912280 0.6730977022 -0.08941158821 -0.9671067740 -96.12860100 30.14257258 -15.38640269 7.927054189 -4.034093263 -0.3900924933 1.433111416 -3.379641563 2.228927964 0.3337326876 2.066868546 -3.549560401 4.560058360 -1.761064011 -0.5904203993 -26.20385382 13.37493091 -9.562029436 6.460019023 -3.182095998 40.09776966 -21.03950332 12.37974170 -7.373021668 3.448588971 0.1236229593 -0.9043832256 3.139999907 -3.372032204 0.4033006300 -2.331612848 3.560256219 -5.044173262 4.676475659 -0.6678514771 -3.972706171 -7.100099599 8.811778268 -6.202101003 1.236199049 12.34541196 -8.714202048 -26.85669071 15.01525303 -4.254724798 -10.14009130 32.73248571 -11.76019483 -40.73913133 10.41069511 5.101752208 -13.18150137 46.69022992 -24.87568456 -6.846978217 -0.3669748696 2.593131249 -9.574550156 10.61713846 -1.135168952 41.74123775 55.12088110 -27.24673221 14.83724100 -5.797647277 -84.07064667 23.02179690 61.04058132 -27.34529142 10.14989174 32.99758303 -77.43098070 18.17529829 51.80635113 -13.91416835 -14.56239623 25.72829355 -57.52602439 -30.49841217 5.537304770 6.254606541 -9.834472143 14.95101957 -14.89929561 1.933907088 
+DEAL::Cell with center -0.6495190528 0.3750000000
+DEAL::-0.4960937500 0.8592595803:  error div -1.332267630e-15
+DEAL::-0.5318036039 0.8025721327:  error div 2.886579864e-15
+DEAL::-0.5624774440 0.7448405480:  error div 6.883382753e-15
+DEAL::-0.5881278268 0.6864657824:  error div 1.554312234e-15
+DEAL::-0.6087972789 0.6278430248:  error div -2.220446049e-16
+DEAL::-0.6245576365 0.5693594940:  error div -2.664535259e-15
+DEAL::-0.6355092196 0.5113923188:  error div -8.881784197e-16
+DEAL::-0.6417798513 0.4543065070:  error div -4.884981308e-15
+DEAL::-0.6435237306 0.3984530082:  error div -4.440892099e-16
+DEAL::-0.6409201696 0.3441668777:  error div -4.440892099e-16
+DEAL::-0.6341722033 0.2917655439:  error div -1.332267630e-15
+DEAL::-0.6235050834 0.2415471888:  error div -1.110223025e-15
+DEAL::-0.6091646645 0.1937892431:  error div -2.220446049e-15
+DEAL::
+DEAL::-11.38386124 77.11351874 1.688867200 0.3897060052 -1.133391179 1.081494520 -0.2394989123 -0.0008731729295 76.10483630 -25.19677745 13.66156445 -6.909736099 3.010073860 -60.43975883 16.64304643 -7.110281634 3.886094388 -2.854585666 -1.985006914 3.790565188 -5.638947163 2.639590154 0.6781854085 0.6956042643 -0.5336693076 -0.6468262693 1.049776235 -0.006189214115 -47.82761407 24.90820982 -15.50218552 9.615233579 -4.577613655 -2.644318254 1.063278280 -2.091089555 1.908029749 -1.031481486 2.081047438 -3.535463943 5.938382140 -5.735962823 0.7800266601 -1.058745801 0.9969092615 0.1972330560 -0.5820277217 0.01534285241 -38.13532536 -51.28613311 28.00225140 -15.95047813 5.639009348 78.98002171 -24.29456198 -66.29103944 31.18934356 -10.91742649 -33.64679082 83.42343918 -21.62036745 -65.23518182 17.25537082 15.16228118 -28.87210649 73.16411346 13.97455744 -8.218935708 -5.600135590 9.813468333 -17.73523784 18.21173772 -2.242397142 17.43015441 21.41157393 -5.992142274 2.047443475 -1.828243858 -31.34388296 3.964178102 7.261714237 -0.6690551428 1.390246109 7.717214848 -10.36832620 -1.096978331 -9.377947093 2.058842264 -2.862951099 1.448631725 11.67191302 -36.79218085 -3.161004690 2.809493711 -2.671518534 -0.8162938793 1.745063819 -0.01613160588 
+DEAL::Cell with center -0.6495190528 -0.3750000000
+DEAL::-0.9921875000 1.215079246e-16:  error div 4.884981308e-15
+DEAL::-0.9609496573 -0.05926936446:  error div -3.996802889e-15
+DEAL::-0.9262895583 -0.1146994816:  error div 8.881784197e-16
+DEAL::-0.8885607198 -0.1661007475:  error div 2.664535259e-15
+DEAL::-0.8481266485 -0.2133123969:  error div 2.220446049e-16
+DEAL::-0.8053586039 -0.2562030323:  error div -1.776356839e-15
+DEAL::-0.7606333492 -0.2946709691:  error div 0.000000000
+DEAL::-0.7143309018 -0.3286444014:  error div -1.332267630e-15
+DEAL::-0.6668322927 -0.3580813945:  error div 1.554312234e-15
+DEAL::-0.6185173440 -0.3829697098:  error div -4.440892099e-16
+DEAL::-0.5697624746 -0.4033264664:  error div 2.664535259e-15
+DEAL::-0.5209385434 -0.4191976473:  error div 8.881784197e-16
+DEAL::-0.4724087397 -0.4306574530:  error div -1.554312234e-15
+DEAL::
+DEAL::-72.47419682 28.69804634 0.5069382993 1.657454901 -1.503297318 -0.4407982935 -0.1189932662 -0.2078487287 90.39478470 -27.01168973 12.98846675 -6.820324511 3.977180634 35.68884217 -13.49952615 8.276121052 -4.040959801 1.179507597 -1.594914421 2.357453772 -2.259305601 0.4106621894 0.3444527209 -1.371264282 3.015891094 -5.206884629 2.810840246 0.5842311852 -21.62376025 11.53327891 -5.940156084 3.155214556 -1.395517657 -42.74208791 22.10278160 -14.47083125 9.281051417 -4.480070457 1.957424479 -2.631080717 2.798382233 -2.363930619 0.3767260301 1.272867047 -2.563346958 5.241406318 -5.258503380 0.6831943295 -34.16261919 -44.18603351 19.19047313 -9.748377128 4.402810300 66.63460975 -15.58035993 -39.43434872 16.17409053 -6.662701694 -23.50669951 50.69095348 -9.860172623 -24.49605049 6.844675706 10.06052897 -15.69060512 26.47388354 38.85024200 -1.371957491 -5.233160721 7.220337084 -8.160687683 7.594599263 -1.107228191 -24.31108334 -33.70930717 21.25458994 -12.78979753 3.969403419 52.72676371 -19.05761880 -53.77886708 26.67623628 -8.759645631 -25.28036818 67.06265450 -19.27227662 -61.18429822 15.97301061 11.69944513 -24.27966182 69.19793741 -6.293768675 -8.698309460 -3.445112830 7.162953608 -15.76731345 16.64435943 -1.950038693 
+DEAL::Cell with center -1.377727649e-16 -0.7500000000
+DEAL::-0.4960937500 -0.8592595803:  error div 2.886579864e-15
+DEAL::-0.4291460533 -0.8618414972:  error div 2.220446049e-16
+DEAL::-0.3638121143 -0.8595400296:  error div -8.881784197e-16
+DEAL::-0.3004328929 -0.8525665299:  error div 4.440892099e-16
+DEAL::-0.2393293696 -0.8411554217:  error div -2.220446049e-16
+DEAL::-0.1808009674 -0.8255625263:  error div 8.881784197e-16
+DEAL::-0.1251241296 -0.8060632879:  error div 0.000000000
+DEAL::-0.07255105048 -0.7829509083:  error div 4.440892099e-16
+DEAL::-0.02330856204 -0.7565344028:  error div -4.440892099e-16
+DEAL::0.02240282557 -0.7271365875:  error div -2.220446049e-16
+DEAL::0.06440972863 -0.6950920104:  error div 0.000000000
+DEAL::0.1025665400 -0.6607448360:  error div 0.000000000
+DEAL::0.1367559248 -0.6244466961:  error div 0.000000000
+DEAL::
+DEAL::-61.09033558 -48.41547240 -1.181928900 1.267748896 -0.3699061388 -1.522292813 0.1205056461 -0.2069755557 14.28994840 -1.814912280 -0.6730977022 0.08941158821 0.9671067740 96.12860100 -30.14257258 15.38640269 -7.927054189 4.034093263 0.3900924933 -1.433111416 3.379641563 -2.228927964 -0.3337326876 -2.066868546 3.549560401 -4.560058360 1.761064011 0.5904203993 26.20385382 -13.37493091 9.562029436 -6.460019023 3.182095998 -40.09776966 21.03950332 -12.37974170 7.373021668 -3.448588971 -0.1236229593 0.9043832256 -3.139999907 3.372032204 -0.4033006300 2.331612848 -3.560256219 5.044173262 -4.676475659 0.6678514771 3.972706171 7.100099599 -8.811778268 6.202101003 -1.236199049 -12.34541196 8.714202048 26.85669071 -15.01525303 4.254724798 10.14009130 -32.73248571 11.76019483 40.73913133 -10.41069511 -5.101752208 13.18150137 -46.69022992 24.87568456 6.846978217 0.3669748696 -2.593131249 9.574550156 -10.61713846 1.135168952 -41.74123775 -55.12088110 27.24673221 -14.83724100 5.797647277 84.07064667 -23.02179690 -61.04058132 27.34529142 -10.14989174 -32.99758303 77.43098070 -18.17529829 -51.80635113 13.91416835 14.56239623 -25.72829355 57.52602439 30.49841217 -5.537304770 -6.254606541 9.834472143 -14.95101957 14.89929561 -1.933907088 
+DEAL::Cell with center 0.6495190528 -0.3750000000
+DEAL::0.4960937500 -0.8592595803:  error div -3.108624469e-15
+DEAL::0.5318036039 -0.8025721327:  error div -8.881784197e-16
+DEAL::0.5624774440 -0.7448405480:  error div -1.110223025e-15
+DEAL::0.5881278268 -0.6864657824:  error div 8.881784197e-16
+DEAL::0.6087972789 -0.6278430248:  error div -2.220446049e-16
+DEAL::0.6245576365 -0.5693594940:  error div 2.220446049e-16
+DEAL::0.6355092196 -0.5113923188:  error div -4.440892099e-16
+DEAL::0.6417798513 -0.4543065070:  error div 1.776356839e-15
+DEAL::0.6435237306 -0.3984530082:  error div -4.440892099e-16
+DEAL::0.6409201696 -0.3441668777:  error div -1.332267630e-15
+DEAL::0.6341722033 -0.2917655439:  error div 0.000000000
+DEAL::0.6235050834 -0.2415471888:  error div -8.881784197e-16
+DEAL::0.6091646645 -0.1937892431:  error div 0.000000000
+DEAL::
+DEAL::11.38386124 -77.11351874 -1.688867200 -0.3897060052 1.133391179 -1.081494520 0.2394989123 0.0008731729295 -76.10483630 25.19677745 -13.66156445 6.909736099 -3.010073860 60.43975883 -16.64304643 7.110281634 -3.886094388 2.854585666 1.985006914 -3.790565188 5.638947163 -2.639590154 -0.6781854085 -0.6956042643 0.5336693076 0.6468262693 -1.049776235 0.006189214115 47.82761407 -24.90820982 15.50218552 -9.615233579 4.577613655 2.644318254 -1.063278280 2.091089555 -1.908029749 1.031481486 -2.081047438 3.535463943 -5.938382140 5.735962823 -0.7800266601 1.058745801 -0.9969092615 -0.1972330560 0.5820277217 -0.01534285241 38.13532536 51.28613311 -28.00225140 15.95047813 -5.639009348 -78.98002171 24.29456198 66.29103944 -31.18934356 10.91742649 33.64679082 -83.42343918 21.62036745 65.23518182 -17.25537082 -15.16228118 28.87210649 -73.16411346 -13.97455744 8.218935708 5.600135590 -9.813468333 17.73523784 -18.21173772 2.242397142 -17.43015441 -21.41157393 5.992142274 -2.047443475 1.828243858 31.34388296 -3.964178102 -7.261714237 0.6690551428 -1.390246109 -7.717214848 10.36832620 1.096978331 9.377947093 -2.058842264 2.862951099 -1.448631725 -11.67191302 36.79218085 3.161004690 -2.809493711 2.671518534 0.8162938793 -1.745063819 0.01613160588 
+DEAL::Mapping of degree 5
+DEAL::Cell with center 0.000000000 0.000000000 -0.7500000000
+DEAL::-0.5759520655 -0.5527659841 -0.5759520655:  error div 1.287858709e-14
+DEAL::-0.5254898676 -0.5029040719 -0.6187865537:  error div 1.776356839e-15
+DEAL::-0.4685426073 -0.4464599093 -0.6616551149:  error div 2.664535259e-15
+DEAL::-0.4051542510 -0.3835292107 -0.7012978956:  error div -8.881784197e-16
+DEAL::-0.3359932318 -0.3148223149 -0.7343028440:  error div 7.105427358e-15
+DEAL::-0.2623766962 -0.2416891159 -0.7575161861:  error div -4.440892099e-16
+DEAL::-0.1861925434 -0.1660412603 -0.7684224851:  error div 4.440892099e-16
+DEAL::-0.1097387169 -0.09019150189 -0.7654365722:  error div 1.776356839e-15
+DEAL::-0.03550798632 -0.01663873419 -0.7480737719:  error div 4.440892099e-16
+DEAL::0.03404970570 0.05216906594 -0.7169856075:  error div 4.440892099e-16
+DEAL::0.09675558003 0.1140621810 -0.6738655685:  error div 3.552713679e-15
+DEAL::0.1508930055 0.1673387801 -0.6212435337:  error div -3.552713679e-15
+DEAL::0.1953394317 0.2108952300 -0.5621980946:  error div 3.108624469e-15
+DEAL::
+DEAL::-45.67157914 -46.53325504 -2.068074737 0.8348957380 -0.09532651776 -0.9633263277 -0.8345368420 0.1603056763 -1.013453123 0.005756013500 -0.006607020107 -0.03529240929 0.1850623775 0.08990767029 1.665052024 0.01947580086 -0.007493459673 -0.05126982728 -0.008029135729 0.02528101291 -0.02691637522 -0.01410647934 -0.007667259290 -0.05613489327 -22.89434937 6.910351820 -3.730682568 2.262327557 4.215135877 -1.465696159 0.8437603914 -0.4347420533 -30.92222755 7.820323240 -4.717050564 2.758947574 0.06031374472 -0.03981475574 0.2232484563 -0.005458274959 -0.4300922937 -0.03963878537 0.05600936470 0.02907161946 -0.8687456531 -0.3102057714 -0.2200729718 0.1211003290 15.81018712 -6.614264500 3.810648535 -2.249622555 -3.802870882 0.7037654821 -0.4063439868 0.2594043287 -21.78786784 7.205176036 -4.349605430 2.610367587 -0.02918263592 -0.1326327474 0.09724976192 -0.002817210573 -0.1890214953 0.07321505180 0.1183575424 0.02365471135 -0.6521803180 -0.2153590991 -0.1119171540 0.1182762681 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+DEAL::Cell with center 0.7500000000 0.000000000 -4.163336342e-17
+DEAL::0.5879922187 -0.5879922187 -0.5412602679:  error div -1.776356839e-15
+DEAL::0.6317656581 -0.5359927398 -0.4904247681:  error div 1.776356839e-15
+DEAL::0.6752050943 -0.4774156808 -0.4328300536:  error div 4.440892099e-16
+DEAL::0.7149693757 -0.4123477836 -0.3686646352:  error div -3.996802889e-15
+DEAL::0.7476112822 -0.3415220448 -0.2987437738:  error div 5.329070518e-15
+DEAL::0.7699931685 -0.2663289165 -0.2245218407:  error div -8.881784197e-16
+DEAL::0.7796633598 -0.1887262238 -0.1480024603:  error div 1.776356839e-15
+DEAL::0.7751382896 -0.1110685560 -0.07156802410:  error div 0.000000000
+DEAL::0.7560592058 -0.03588516627 0.002241853775:  error div -3.552713679e-15
+DEAL::0.7232127397 0.03436118254 0.07097021235:  error div 1.332267630e-15
+DEAL::0.6784217227 0.09750269006 0.1324691326:  error div -4.440892099e-15
+DEAL::0.6243263560 0.1518546010 0.1850850191:  error div 3.108624469e-15
+DEAL::0.5640861853 0.1963417794 0.2277818661:  error div -1.332267630e-15
+DEAL::
+DEAL::-2.098804971 -41.85130650 -44.50091305 0.9100038663 0.8274450967 -0.08797263257 -1.760841437 0.9832144189 0.7954501743 0.03085671617 0.006704693768 -0.005144520924 0.8733884706 -1.450367654 -0.4945836261 0.04849602008 0.01936809089 -0.007665057891 -0.02260524190 0.02337802336 0.03608519609 0.05595685108 -0.01188213757 -0.002329231558 -49.15590888 14.66614477 -8.238909653 4.762823597 29.26259239 -8.173885435 4.553666439 -2.667715660 22.27752121 -6.931716905 3.589340375 -2.160727045 0.3326895010 -0.06338938615 -0.1195977126 -0.1170794583 0.3927063635 0.1323039001 0.2182200437 -0.01524690162 -0.3035963039 -0.01314239421 -0.09437188334 0.008050850153 18.64615426 -7.149788463 4.028435119 -2.465690118 16.82213763 -6.484571590 3.758565157 -2.229869791 -3.311626372 0.5684129516 -0.4408033356 0.2390280843 -0.02231014458 -0.2650997684 -0.1969096796 -0.1088514793 0.3399094182 -0.03249653652 0.02482667921 -0.008589540856 -0.09018817045 -0.02982977684 -0.1392445423 0.01234112560 -1.247385655 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-9.319549873 5.207610049 -1.871617575 27.14363544 1.025852035 -15.87519246 6.031966878 -0.5670661953 -7.670707373 -30.24150628 3.629167268 1.369689055 0.8013607577 5.145873257 -0.3681416501 -3.197661922 -1.051146115 -10.45194908 1.178510101 -6.861060838 30.18918374 23.60412285 -2.722596857 -2.462782999 12.02548133 1.593633058 -4.019115285 -0.2570436173 -2.190818260 -24.01236625 -2.437173328 2.304413385 -1.531375715 1.193318442 -0.1293441215 1.681599481 -7.809068462 -1.516653854 -0.3554519791 0.3028425333 -1.678803492 35.19988551 3.195705088 0.2129004436 0.1247327283 -0.1658277341 0.1941744830 
+DEAL::Cell with center 0.000000000 -4.163336342e-17 0.7500000000
+DEAL::-0.5879922187 -0.5412602679 0.5879922187:  error div 9.325873407e-15
+DEAL::-0.5359927398 -0.4904247681 0.6317656581:  error div -5.329070518e-15
+DEAL::-0.4774156808 -0.4328300536 0.6752050943:  error div 6.661338148e-15
+DEAL::-0.4123477836 -0.3686646352 0.7149693757:  error div 7.105427358e-15
+DEAL::-0.3415220448 -0.2987437738 0.7476112822:  error div -5.329070518e-15
+DEAL::-0.2663289165 -0.2245218407 0.7699931685:  error div -2.220446049e-15
+DEAL::-0.1887262238 -0.1480024603 0.7796633598:  error div -1.332267630e-15
+DEAL::-0.1110685560 -0.07156802410 0.7751382896:  error div -1.332267630e-14
+DEAL::-0.03588516627 0.002241853775 0.7560592058:  error div -3.996802889e-15
+DEAL::0.03436118254 0.07097021235 0.7232127397:  error div 7.105427358e-15
+DEAL::0.09750269006 0.1324691326 0.6784217227:  error div 7.105427358e-15
+DEAL::0.1518546010 0.1850850191 0.6243263560:  error div -9.325873407e-15
+DEAL::0.1963417794 0.2277818661 0.5640861853:  error div -4.440892099e-15
+DEAL::
+DEAL::-41.85130650 -44.50091305 -2.098804971 0.8274450967 -0.08797263257 0.9100038663 0.9832144189 0.7954501743 -1.760841437 0.006704693768 -0.005144520924 0.03085671617 -1.450367654 -0.4945836261 0.8733884706 0.01936809089 -0.007665057891 0.04849602008 0.02337802336 0.03608519609 -0.02260524190 -0.01188213757 -0.002329231558 0.05595685108 29.26259239 -8.173885435 4.553666439 -2.667715660 22.27752121 -6.931716905 3.589340375 -2.160727045 -49.15590888 14.66614477 -8.238909653 4.762823597 0.3927063635 0.1323039001 0.2182200437 -0.01524690162 -0.3035963039 -0.01314239421 -0.09437188334 0.008050850153 0.3326895010 -0.06338938615 -0.1195977126 -0.1170794583 16.82213763 -6.484571590 3.758565157 -2.229869791 -3.311626372 0.5684129516 -0.4408033356 0.2390280843 18.64615426 -7.149788463 4.028435119 -2.465690118 0.3399094182 -0.03249653652 0.02482667921 -0.008589540856 -0.09018817045 -0.02982977684 -0.1392445423 0.01234112560 -0.02231014458 -0.2650997684 -0.1969096796 -0.1088514793 0.8637237942 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6.377847812 -3.708369824 18.94318924 -16.67316155 3.814559501 -1.471441818 -8.629973933 4.805070404 10.80098156 -0.3113237147 4.485467861 -1.795409473 -1.099333297 -0.3037242326 13.31029634 -9.319549873 5.207610049 -1.871617575 27.14363544 1.025852035 -15.87519246 6.031966878 -0.5670661953 -7.670707373 -30.24150628 3.629167268 1.369689055 0.8013607577 5.145873257 -0.3681416501 -3.197661922 -1.051146115 -10.45194908 1.178510101 -6.861060838 30.18918374 23.60412285 -2.722596857 -2.462782999 12.02548133 1.593633058 -4.019115285 -0.2570436173 -2.190818260 -24.01236625 -2.437173328 2.304413385 -1.531375715 1.193318442 -0.1293441215 1.681599481 -7.809068462 -1.516653854 -0.3554519791 0.3028425333 -1.678803492 35.19988551 3.195705088 0.2129004436 0.1247327283 -0.1658277341 0.1941744830 18.79750570 23.91281520 -8.791680111 4.576320490 -64.33436253 -23.60743580 -1.839531027 0.3502575108 20.64818128 10.32543522 6.234345251 -2.049228565 -12.47431235 -1.042088719 -3.885534774 -0.7506578646 41.79042957 72.34533232 -13.15422752 7.016148986 -42.76174117 13.31992285 28.27496992 -12.03907620 8.485800218 -71.49878193 -16.75652300 5.205246572 -0.8593434691 23.21616632 7.002939333 1.876369555 -9.815200766 -9.783230469 -20.87625106 0.2015567543 -0.3354370357 43.02724834 68.72500767 -8.913990288 6.708272438 -33.38687949 -9.853190575 7.652034451 -0.7340423087 5.526647081 -51.65512577 -5.667554585 5.485577112 4.148999335 -2.455270233 -0.5181099863 -2.326196225 -13.81648863 -2.434871594 3.427675377 -1.529308602 10.14678115 6.231965855 -3.289465111 -1.557892393 1.222213071 -14.86617641 -4.641924053 
+DEAL::Cell with center -0.7500000000 0.000000000 0.000000000
+DEAL::-0.6012515503 -0.5766780283 -0.5531118850:  error div -1.154631946e-14
+DEAL::-0.6458946236 -0.5236491363 -0.5006487306:  error div -4.884981308e-15
+DEAL::-0.6898189280 -0.4638689601 -0.4413495827:  error div -5.329070518e-15
+DEAL::-0.7296048967 -0.3975220470 -0.3754490693:  error div 4.884981308e-15
+DEAL::-0.7617762381 -0.3254496235 -0.3038288032:  error div 2.664535259e-15
+DEAL::-0.7832188522 -0.2491480826 -0.2280163559:  error div 2.664535259e-15
+DEAL::-0.7915521155 -0.1706669598 -0.1500833118:  error div 2.664535259e-15
+DEAL::-0.7854001879 -0.09242877894 -0.07246518026:  error div -2.220446049e-15
+DEAL::-0.7645345314 -0.01700078778 0.002266559507:  error div 8.881784197e-16
+DEAL::-0.7298790026 0.05314854421 0.07164727507:  error div -4.440892099e-16
+DEAL::-0.6833856700 0.1158765656 0.1335451305:  error div 8.881784197e-16
+DEAL::-0.6278029298 0.1695497377 0.1863429372:  error div 3.996802889e-15
+DEAL::-0.5663675440 0.2131627953 0.2290556314:  error div -1.332267630e-15
+DEAL::
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2.070739530 -7.507613382 5.042977163 -5.905325202 0.9566051103 4.020588779 -19.75679312 -29.00219994 5.739437470 -0.6758627950 6.499788820 2.103945515 -0.06384035593 -1.822814684 -7.832804057 -1.912855933 -0.8446274521 -0.2463660537 28.49526851 9.381944905 -0.6533172921 -10.44569617 28.08691065 -1.684656593 -20.82042990 0.3815066733 -2.652873518 -4.924037236 -3.467365779 1.320629737 2.309290440 0.7961149852 0.2600933410 -1.408379629 -7.596664163 -2.808357120 0.1230632064 -0.06935434402 -0.03052912724 34.26336971 -1.985334352 -0.005236914489 0.02078968560 5.501490996 -0.1328548189 
+DEAL::Cell with center 0.000000000 -0.7500000000 -4.163336342e-17
+DEAL::-0.5879922187 -0.5879922187 -0.5412602679:  error div 1.332267630e-15
+DEAL::-0.5359927398 -0.6317656581 -0.4904247681:  error div 5.773159728e-15
+DEAL::-0.4774156808 -0.6752050943 -0.4328300536:  error div 4.440892099e-16
+DEAL::-0.4123477836 -0.7149693757 -0.3686646352:  error div -4.440892099e-15
+DEAL::-0.3415220448 -0.7476112822 -0.2987437738:  error div 5.329070518e-15
+DEAL::-0.2663289165 -0.7699931685 -0.2245218407:  error div 8.881784197e-16
+DEAL::-0.1887262238 -0.7796633598 -0.1480024603:  error div 3.552713679e-15
+DEAL::-0.1110685560 -0.7751382896 -0.07156802410:  error div 1.776356839e-15
+DEAL::-0.03588516627 -0.7560592058 0.002241853775:  error div -1.776356839e-15
+DEAL::0.03436118254 -0.7232127397 0.07097021235:  error div -4.440892099e-16
+DEAL::0.09750269006 -0.6784217227 0.1324691326:  error div 1.332267630e-15
+DEAL::0.1518546010 -0.6243263560 0.1850850191:  error div 2.664535259e-15
+DEAL::0.1963417794 -0.5640861853 0.2277818661:  error div -3.552713679e-15
+DEAL::
+DEAL::-41.85130650 2.098804971 -44.50091305 0.8274450967 -0.9100038663 -0.08797263257 0.9832144189 1.760841437 0.7954501743 0.006704693768 -0.03085671617 -0.005144520924 -1.450367654 -0.8733884706 -0.4945836261 0.01936809089 -0.04849602008 -0.007665057891 0.02337802336 0.02260524190 0.03608519609 -0.01188213757 -0.05595685108 -0.002329231558 29.26259239 -8.173885435 4.553666439 -2.667715660 49.15590888 -14.66614477 8.238909653 -4.762823597 22.27752121 -6.931716905 3.589340375 -2.160727045 0.3927063635 0.1323039001 0.2182200437 -0.01524690162 -0.3326895010 0.06338938615 0.1195977126 0.1170794583 -0.3035963039 -0.01314239421 -0.09437188334 0.008050850153 16.82213763 -6.484571590 3.758565157 -2.229869791 -18.64615426 7.149788463 -4.028435119 2.465690118 -3.311626372 0.5684129516 -0.4408033356 0.2390280843 0.3399094182 -0.03249653652 0.02482667921 -0.008589540856 0.02231014458 0.2650997684 0.1969096796 0.1088514793 -0.09018817045 -0.02982977684 -0.1392445423 0.01234112560 0.8637237942 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1.217495416 -0.8589651525 -0.9322717604 0.09048261792 0.09748464145 0.004283665025 6.051610880 4.762672564 -1.759356659 0.8892753631 -4.572948389 -7.457284024 -0.3224805338 -0.06161512394 -0.2108324409 3.981450393 1.615673000 -0.4181021869 -0.1266732978 -0.7635882405 -1.085769776 -0.4338685792 -7.316204361 4.069587933 -1.378038264 0.8346620049 -0.08700122207 3.369284130 -0.4571505972 0.05822595710 -0.1300539240 -0.6507168791 -4.017263129 0.2698233028 0.2372476460 0.07882720555 0.5583328080 -0.007521256290 1.798519535 -0.04447452634 -0.04623810054 -0.08339898815 -0.6128875268 -2.228696094 1.056702683 -0.1516320324 -0.2549271934 0.08198685024 1.323712655 -1.828887380 -0.05623712744 0.1476763539 1.019828215 -0.2291412019 1.999600763 1.384294202 -0.6091352457 -0.06127093057 -0.9857657614 -4.443039517 -1.127226835 0.9178378307 -0.4112917301 3.196294000 2.141608134 -0.8450673078 -0.3850722174 0.1141356959 -3.414689261 -1.044701448 -0.8240036151 0.5682975661 -0.2435333456 0.09068610328 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13.31029634 -9.319549873 5.207610049 -1.871617575 27.14363544 1.025852035 -15.87519246 6.031966878 -0.5670661953 -7.670707373 -30.24150628 3.629167268 1.369689055 0.8013607577 5.145873257 -0.3681416501 -3.197661922 -1.051146115 -10.45194908 1.178510101 -6.861060838 30.18918374 23.60412285 -2.722596857 -2.462782999 12.02548133 1.593633058 -4.019115285 -0.2570436173 -2.190818260 -24.01236625 -2.437173328 2.304413385 -1.531375715 1.193318442 -0.1293441215 1.681599481 -7.809068462 -1.516653854 -0.3554519791 0.3028425333 -1.678803492 35.19988551 3.195705088 0.2129004436 0.1247327283 -0.1658277341 0.1941744830 
+DEAL::Cell with center 0.000000000 0.7500000000 0.000000000
+DEAL::-0.5766780283 0.6012515503 -0.5531118850:  error div -5.329070518e-15
+DEAL::-0.5236491363 0.6458946236 -0.5006487306:  error div -7.549516567e-15
+DEAL::-0.4638689601 0.6898189280 -0.4413495827:  error div -6.661338148e-15
+DEAL::-0.3975220470 0.7296048967 -0.3754490693:  error div -1.776356839e-15
+DEAL::-0.3254496235 0.7617762381 -0.3038288032:  error div 3.552713679e-15
+DEAL::-0.2491480826 0.7832188522 -0.2280163559:  error div -8.881784197e-16
+DEAL::-0.1706669598 0.7915521155 -0.1500833118:  error div 2.220446049e-15
+DEAL::-0.09242877894 0.7854001879 -0.07246518026:  error div 3.996802889e-15
+DEAL::-0.01700078778 0.7645345314 0.002266559507:  error div -8.881784197e-16
+DEAL::0.05314854421 0.7298790026 0.07164727507:  error div 4.440892099e-16
+DEAL::0.1158765656 0.6833856700 0.1335451305:  error div -8.881784197e-16
+DEAL::0.1695497377 0.6278029298 0.1863429372:  error div 0.000000000
+DEAL::0.2131627953 0.5663675440 0.2290556314:  error div 2.220446049e-15
+DEAL::
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