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Add a test.
authorWolfgang Bangerth <bangerth@colostate.edu>
Mon, 4 Dec 2017 18:00:01 +0000 (11:00 -0700)
committerWolfgang Bangerth <bangerth@colostate.edu>
Mon, 4 Dec 2017 18:00:01 +0000 (11:00 -0700)
tests/vector_tools/boundaries_complex.cc [new file with mode: 0644] patch | blob
tests/vector_tools/boundaries_complex.output [new file with mode: 0644] patch | blob

diff --git a/tests/vector_tools/boundaries_complex.cc b/tests/vector_tools/boundaries_complex.cc
new file mode 100644 (file)
index 0000000..86fd083
--- /dev/null
+++ b/tests/vector_tools/boundaries_complex.cc
@@ -0,0 +1,183 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2000 - 2015 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 at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+
+/* Author: Wolfgang Bangerth, University of Heidelberg, 2001 */
+/* Purpose: check interpolation and projection of boundary values.
+   Like the boundaries.cc test, but for complex-valued objects
+ */
+
+
+
+#include "../tests.h"
+#include <deal.II/base/function_lib.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/lac/vector.h>
+#include <deal.II/grid/tria.h>
+#include <deal.II/grid/tria_iterator.h>
+#include <deal.II/grid/tria_boundary_lib.h>
+#include <deal.II/dofs/dof_accessor.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/dofs/dof_tools.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_system.h>
+#include <deal.II/fe/mapping_q.h>
+#include <deal.II/numerics/vector_tools.h>
+
+
+
+template <int dim>
+class MySquareFunction : public Function<dim,std::complex<double>>
+{
+public:
+  MySquareFunction () : Function<dim,std::complex<double>>(2) {}
+
+  virtual std::complex<double> value (const Point<dim>   &p,
+                                      const unsigned int  component) const
+  {
+    return std::complex<double>(100*(component+1)*p.square()*std::sin(p.square()), 0);
+  }
+
+  virtual void   vector_value (const Point<dim>   &p,
+                               Vector<std::complex<double>>     &values) const
+  {
+    for (unsigned int d=0; d<this->n_components; ++d)
+      values(d) = value(p,d);
+  }
+};
+
+
+template <int dim>
+const Quadrature<dim-1> &
+boundary_q (const DoFHandler<dim> &)
+{
+  static const QGauss<dim-1> q(4);
+  return q;
+}
+
+
+void write_map (const std::map<types::global_dof_index,std::complex<double>> &bv)
+{
+  for (std::map<types::global_dof_index,std::complex<double>>::const_iterator
+       i=bv.begin(); i!=bv.end(); ++i)
+    deallog << i->first << ' ' << i->second <<std::endl;
+}
+
+
+
+
+template <int dim>
+void
+check ()
+{
+  Triangulation<dim> tr;
+  if (dim==2)
+    {
+      GridGenerator::hyper_ball(tr, Point<dim>(), 1);
+    }
+  else
+    GridGenerator::hyper_cube(tr, -1./std::sqrt(static_cast<double>(dim)),1./std::sqrt(static_cast<double>(dim)));
+  static const HyperBallBoundary<dim> boundary;
+  if (dim != 1)
+    {
+      tr.set_boundary (0, boundary);
+    }
+  tr.refine_global (1);
+  tr.begin_active()->set_refine_flag ();
+  tr.execute_coarsening_and_refinement ();
+  if (dim==1)
+    tr.refine_global(2);
+
+  // use a cubic mapping to make
+  // things a little more complicated
+  MappingQ<dim> mapping(3);
+
+
+  // list of finite elements for
+  // which we want check, and
+  // associated list of boundary
+  // value functions
+  std::vector<const FiniteElement<dim>*> fe_list;
+  std::vector<const Function<dim,std::complex<double>>*> function_list;
+
+  // FE1: a system of a quadratic and
+  // a linear element
+  fe_list.push_back (new FESystem<dim> (FE_Q<dim>(2), 1, FE_Q<dim>(1), 1));
+  function_list.push_back (new MySquareFunction<dim>());
+
+  // FE2: a linear element, to make
+  // things simple
+  fe_list.push_back (new FE_Q<dim> (1));
+  function_list.push_back (new Functions::ConstantFunction<dim,std::complex<double>>(std::complex<double>(1,0)));
+
+  // check all of them
+  for (unsigned int i=0; i<fe_list.size(); ++i)
+    {
+      const FiniteElement<dim> &fe = *fe_list[i];
+
+      DoFHandler<dim> dof(tr);
+      dof.distribute_dofs(fe);
+
+      typename FunctionMap<dim,std::complex<double>>::type function_map;
+      function_map[0] = function_list[i];
+
+      // interpolate boundary values
+      deallog << "Interpolated boundary values" << std::endl;
+      std::map<types::global_dof_index,std::complex<double>> interpolated_bv;
+      VectorTools::interpolate_boundary_values (mapping, dof, function_map,
+                                                interpolated_bv, std::vector<bool>());
+      write_map (interpolated_bv);
+
+      // // project boundary values
+      // // presently this is not
+      // // implemented for 3d
+      // if (dim != 3)
+      //   {
+      //     deallog << "Projected boundary values" << std::endl;
+      //     std::map<types::global_dof_index,double> projected_bv;
+      //     VectorTools::project_boundary_values (mapping, dof, function_map,
+      //                                           boundary_q(dof), projected_bv);
+      //     write_map (projected_bv);
+      //   };
+    };
+
+
+  // delete objects now no more needed
+  for (unsigned int i=0; i<fe_list.size(); ++i)
+    {
+      delete fe_list[i];
+      delete function_list[i];
+    };
+}
+
+
+int main ()
+{
+  initlog();
+  deallog << std::setprecision (2);
+  deallog << std::fixed;
+
+  deallog.push ("1d");
+  check<1> ();
+  deallog.pop ();
+  deallog.push ("2d");
+  check<2> ();
+  deallog.pop ();
+  deallog.push ("3d");
+  check<3> ();
+  deallog.pop ();
+}
diff --git a/tests/vector_tools/boundaries_complex.output b/tests/vector_tools/boundaries_complex.output
new file mode 100644 (file)
index 0000000..73086f2
--- /dev/null
+++ b/tests/vector_tools/boundaries_complex.output
@@ -0,0 +1,268 @@
+
+DEAL:1d::Interpolated boundary values
+DEAL:1d::14 (84.15,0.00)
+DEAL:1d::15 (168.29,0.00)
+DEAL:1d::Interpolated boundary values
+DEAL:1d::5 (1.00,0.00)
+DEAL:2d::Interpolated boundary values
+DEAL:2d::0 (84.15,0.00)
+DEAL:2d::1 (168.29,0.00)
+DEAL:2d::2 (84.15,0.00)
+DEAL:2d::3 (168.29,0.00)
+DEAL:2d::10 (84.09,0.00)
+DEAL:2d::29 (84.15,0.00)
+DEAL:2d::30 (168.29,0.00)
+DEAL:2d::31 (84.15,0.00)
+DEAL:2d::32 (168.29,0.00)
+DEAL:2d::35 (84.09,0.00)
+DEAL:2d::45 (84.15,0.00)
+DEAL:2d::46 (168.29,0.00)
+DEAL:2d::49 (84.09,0.00)
+DEAL:2d::78 (84.15,0.00)
+DEAL:2d::79 (168.29,0.00)
+DEAL:2d::83 (84.09,0.00)
+DEAL:2d::86 (84.15,0.00)
+DEAL:2d::87 (168.29,0.00)
+DEAL:2d::91 (84.09,0.00)
+DEAL:2d::98 (84.15,0.00)
+DEAL:2d::99 (168.29,0.00)
+DEAL:2d::102 (84.09,0.00)
+DEAL:2d::108 (84.09,0.00)
+DEAL:2d::112 (84.15,0.00)
+DEAL:2d::113 (168.29,0.00)
+DEAL:2d::120 (84.14,0.00)
+DEAL:2d::126 (84.14,0.00)
+DEAL:2d::Interpolated boundary values
+DEAL:2d::0 (1.00,0.00)
+DEAL:2d::1 (1.00,0.00)
+DEAL:2d::8 (1.00,0.00)
+DEAL:2d::9 (1.00,0.00)
+DEAL:2d::12 (1.00,0.00)
+DEAL:2d::19 (1.00,0.00)
+DEAL:2d::21 (1.00,0.00)
+DEAL:2d::23 (1.00,0.00)
+DEAL:2d::25 (1.00,0.00)
+DEAL:3d::Interpolated boundary values
+DEAL:3d::0 (84.15,0.00)
+DEAL:3d::1 (168.29,0.00)
+DEAL:3d::2 (84.15,0.00)
+DEAL:3d::3 (168.29,0.00)
+DEAL:3d::4 (84.15,0.00)
+DEAL:3d::5 (168.29,0.00)
+DEAL:3d::6 (84.15,0.00)
+DEAL:3d::7 (168.29,0.00)
+DEAL:3d::8 (84.15,0.00)
+DEAL:3d::9 (168.29,0.00)
+DEAL:3d::10 (84.15,0.00)
+DEAL:3d::11 (168.29,0.00)
+DEAL:3d::14 (84.15,0.00)
+DEAL:3d::15 (168.29,0.00)
+DEAL:3d::16 (84.09,0.00)
+DEAL:3d::17 (84.13,0.00)
+DEAL:3d::18 (84.13,0.00)
+DEAL:3d::19 (84.09,0.00)
+DEAL:3d::21 (84.09,0.00)
+DEAL:3d::22 (84.09,0.00)
+DEAL:3d::24 (84.09,0.00)
+DEAL:3d::25 (84.13,0.00)
+DEAL:3d::27 (84.09,0.00)
+DEAL:3d::29 (84.03,0.00)
+DEAL:3d::30 (84.03,0.00)
+DEAL:3d::32 (84.03,0.00)
+DEAL:3d::35 (84.15,0.00)
+DEAL:3d::36 (168.29,0.00)
+DEAL:3d::37 (84.15,0.00)
+DEAL:3d::38 (168.29,0.00)
+DEAL:3d::39 (84.15,0.00)
+DEAL:3d::40 (168.29,0.00)
+DEAL:3d::41 (84.15,0.00)
+DEAL:3d::42 (168.29,0.00)
+DEAL:3d::43 (84.15,0.00)
+DEAL:3d::44 (168.29,0.00)
+DEAL:3d::45 (84.15,0.00)
+DEAL:3d::46 (168.29,0.00)
+DEAL:3d::47 (84.13,0.00)
+DEAL:3d::48 (84.09,0.00)
+DEAL:3d::49 (84.09,0.00)
+DEAL:3d::50 (84.13,0.00)
+DEAL:3d::51 (84.09,0.00)
+DEAL:3d::54 (84.09,0.00)
+DEAL:3d::55 (84.09,0.00)
+DEAL:3d::56 (84.13,0.00)
+DEAL:3d::57 (84.09,0.00)
+DEAL:3d::58 (84.03,0.00)
+DEAL:3d::61 (84.03,0.00)
+DEAL:3d::62 (84.03,0.00)
+DEAL:3d::65 (84.15,0.00)
+DEAL:3d::66 (168.29,0.00)
+DEAL:3d::67 (84.15,0.00)
+DEAL:3d::68 (168.29,0.00)
+DEAL:3d::69 (84.13,0.00)
+DEAL:3d::70 (84.13,0.00)
+DEAL:3d::71 (84.09,0.00)
+DEAL:3d::72 (84.09,0.00)
+DEAL:3d::73 (84.13,0.00)
+DEAL:3d::74 (84.03,0.00)
+DEAL:3d::75 (84.03,0.00)
+DEAL:3d::76 (84.03,0.00)
+DEAL:3d::79 (84.15,0.00)
+DEAL:3d::80 (168.29,0.00)
+DEAL:3d::81 (84.15,0.00)
+DEAL:3d::82 (168.29,0.00)
+DEAL:3d::83 (84.15,0.00)
+DEAL:3d::84 (168.29,0.00)
+DEAL:3d::85 (84.15,0.00)
+DEAL:3d::86 (168.29,0.00)
+DEAL:3d::87 (84.15,0.00)
+DEAL:3d::88 (168.29,0.00)
+DEAL:3d::89 (84.09,0.00)
+DEAL:3d::90 (84.09,0.00)
+DEAL:3d::91 (84.13,0.00)
+DEAL:3d::92 (84.09,0.00)
+DEAL:3d::93 (84.13,0.00)
+DEAL:3d::94 (84.09,0.00)
+DEAL:3d::95 (84.13,0.00)
+DEAL:3d::96 (84.09,0.00)
+DEAL:3d::97 (84.09,0.00)
+DEAL:3d::99 (84.03,0.00)
+DEAL:3d::101 (84.03,0.00)
+DEAL:3d::104 (84.03,0.00)
+DEAL:3d::106 (84.15,0.00)
+DEAL:3d::107 (168.29,0.00)
+DEAL:3d::108 (84.15,0.00)
+DEAL:3d::109 (168.29,0.00)
+DEAL:3d::110 (84.13,0.00)
+DEAL:3d::111 (84.13,0.00)
+DEAL:3d::112 (84.09,0.00)
+DEAL:3d::113 (84.13,0.00)
+DEAL:3d::114 (84.09,0.00)
+DEAL:3d::115 (84.03,0.00)
+DEAL:3d::116 (84.03,0.00)
+DEAL:3d::118 (84.03,0.00)
+DEAL:3d::120 (84.15,0.00)
+DEAL:3d::121 (168.29,0.00)
+DEAL:3d::122 (84.15,0.00)
+DEAL:3d::123 (168.29,0.00)
+DEAL:3d::124 (84.13,0.00)
+DEAL:3d::125 (84.09,0.00)
+DEAL:3d::126 (84.13,0.00)
+DEAL:3d::127 (84.13,0.00)
+DEAL:3d::128 (84.09,0.00)
+DEAL:3d::129 (84.03,0.00)
+DEAL:3d::131 (84.03,0.00)
+DEAL:3d::132 (84.03,0.00)
+DEAL:3d::134 (84.15,0.00)
+DEAL:3d::135 (168.29,0.00)
+DEAL:3d::136 (84.13,0.00)
+DEAL:3d::137 (84.13,0.00)
+DEAL:3d::138 (84.13,0.00)
+DEAL:3d::139 (84.03,0.00)
+DEAL:3d::140 (84.03,0.00)
+DEAL:3d::141 (84.03,0.00)
+DEAL:3d::143 (84.15,0.00)
+DEAL:3d::144 (168.29,0.00)
+DEAL:3d::145 (84.15,0.00)
+DEAL:3d::146 (168.29,0.00)
+DEAL:3d::147 (84.15,0.00)
+DEAL:3d::148 (168.29,0.00)
+DEAL:3d::149 (84.15,0.00)
+DEAL:3d::150 (168.29,0.00)
+DEAL:3d::151 (84.15,0.00)
+DEAL:3d::152 (168.29,0.00)
+DEAL:3d::153 (84.15,0.00)
+DEAL:3d::154 (168.29,0.00)
+DEAL:3d::155 (84.15,0.00)
+DEAL:3d::156 (168.29,0.00)
+DEAL:3d::159 (84.15,0.00)
+DEAL:3d::160 (84.14,0.00)
+DEAL:3d::161 (84.15,0.00)
+DEAL:3d::162 (84.14,0.00)
+DEAL:3d::163 (84.14,0.00)
+DEAL:3d::165 (84.14,0.00)
+DEAL:3d::167 (84.15,0.00)
+DEAL:3d::168 (84.14,0.00)
+DEAL:3d::169 (84.14,0.00)
+DEAL:3d::171 (84.14,0.00)
+DEAL:3d::173 (84.14,0.00)
+DEAL:3d::175 (84.14,0.00)
+DEAL:3d::178 (84.15,0.00)
+DEAL:3d::179 (168.29,0.00)
+DEAL:3d::180 (84.15,0.00)
+DEAL:3d::181 (168.29,0.00)
+DEAL:3d::184 (84.14,0.00)
+DEAL:3d::185 (84.15,0.00)
+DEAL:3d::186 (84.14,0.00)
+DEAL:3d::188 (84.14,0.00)
+DEAL:3d::190 (84.14,0.00)
+DEAL:3d::193 (84.14,0.00)
+DEAL:3d::195 (84.14,0.00)
+DEAL:3d::198 (84.15,0.00)
+DEAL:3d::199 (168.29,0.00)
+DEAL:3d::200 (84.15,0.00)
+DEAL:3d::201 (168.29,0.00)
+DEAL:3d::204 (84.15,0.00)
+DEAL:3d::205 (84.14,0.00)
+DEAL:3d::206 (84.14,0.00)
+DEAL:3d::207 (84.14,0.00)
+DEAL:3d::210 (84.14,0.00)
+DEAL:3d::212 (84.14,0.00)
+DEAL:3d::215 (84.14,0.00)
+DEAL:3d::220 (84.14,0.00)
+DEAL:3d::221 (84.14,0.00)
+DEAL:3d::227 (84.14,0.00)
+DEAL:3d::230 (84.15,0.00)
+DEAL:3d::231 (168.29,0.00)
+DEAL:3d::232 (84.15,0.00)
+DEAL:3d::233 (168.29,0.00)
+DEAL:3d::236 (84.14,0.00)
+DEAL:3d::238 (84.14,0.00)
+DEAL:3d::240 (84.15,0.00)
+DEAL:3d::241 (84.14,0.00)
+DEAL:3d::242 (84.14,0.00)
+DEAL:3d::244 (84.14,0.00)
+DEAL:3d::246 (84.14,0.00)
+DEAL:3d::253 (84.14,0.00)
+DEAL:3d::255 (84.14,0.00)
+DEAL:3d::258 (84.14,0.00)
+DEAL:3d::264 (84.14,0.00)
+DEAL:3d::267 (84.14,0.00)
+DEAL:3d::269 (84.14,0.00)
+DEAL:3d::Interpolated boundary values
+DEAL:3d::0 (1.00,0.00)
+DEAL:3d::1 (1.00,0.00)
+DEAL:3d::2 (1.00,0.00)
+DEAL:3d::3 (1.00,0.00)
+DEAL:3d::4 (1.00,0.00)
+DEAL:3d::5 (1.00,0.00)
+DEAL:3d::7 (1.00,0.00)
+DEAL:3d::8 (1.00,0.00)
+DEAL:3d::9 (1.00,0.00)
+DEAL:3d::10 (1.00,0.00)
+DEAL:3d::11 (1.00,0.00)
+DEAL:3d::12 (1.00,0.00)
+DEAL:3d::13 (1.00,0.00)
+DEAL:3d::14 (1.00,0.00)
+DEAL:3d::15 (1.00,0.00)
+DEAL:3d::16 (1.00,0.00)
+DEAL:3d::17 (1.00,0.00)
+DEAL:3d::18 (1.00,0.00)
+DEAL:3d::19 (1.00,0.00)
+DEAL:3d::20 (1.00,0.00)
+DEAL:3d::21 (1.00,0.00)
+DEAL:3d::22 (1.00,0.00)
+DEAL:3d::23 (1.00,0.00)
+DEAL:3d::24 (1.00,0.00)
+DEAL:3d::25 (1.00,0.00)
+DEAL:3d::26 (1.00,0.00)
+DEAL:3d::27 (1.00,0.00)
+DEAL:3d::28 (1.00,0.00)
+DEAL:3d::29 (1.00,0.00)
+DEAL:3d::30 (1.00,0.00)
+DEAL:3d::31 (1.00,0.00)
+DEAL:3d::32 (1.00,0.00)
+DEAL:3d::34 (1.00,0.00)
+DEAL:3d::35 (1.00,0.00)
+DEAL:3d::37 (1.00,0.00)
+DEAL:3d::38 (1.00,0.00)
+DEAL:3d::41 (1.00,0.00)
+DEAL:3d::42 (1.00,0.00)
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