From a0f55af03b88da017ecad160a7014c76e194e1fc Mon Sep 17 00:00:00 2001
From: Wolfgang Bangerth <bangerth@colostate.edu>
Date: Wed, 30 Aug 2017 11:15:03 -0600
Subject: [PATCH] Add a test.

---
 .../data_out_postprocessor_vector_03.cc       |  349 ++++
 .../data_out_postprocessor_vector_03.output   | 1428 +++++++++++++++++
 2 files changed, 1777 insertions(+)
 create mode 100644 tests/numerics/data_out_postprocessor_vector_03.cc
 create mode 100644 tests/numerics/data_out_postprocessor_vector_03.output

diff --git a/tests/numerics/data_out_postprocessor_vector_03.cc b/tests/numerics/data_out_postprocessor_vector_03.cc
new file mode 100644
index 0000000000..aff1949873
--- /dev/null
+++ b/tests/numerics/data_out_postprocessor_vector_03.cc
@@ -0,0 +1,349 @@
+/* ---------------------------------------------------------------------
+ *
+ * Copyright (C) 2000 - 2016 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.
+ *
+ * ---------------------------------------------------------------------
+ */
+
+
+// a slightly modified version of step-6 that tests the postprocessor
+// discussed in the documentation of DataPostprocessorVector
+
+
+#include "../tests.h"
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/base/function.h>
+#include <deal.II/base/logstream.h>
+#include <deal.II/lac/vector.h>
+#include <deal.II/lac/full_matrix.h>
+#include <deal.II/lac/sparse_matrix.h>
+#include <deal.II/lac/dynamic_sparsity_pattern.h>
+#include <deal.II/lac/solver_cg.h>
+#include <deal.II/lac/precondition.h>
+#include <deal.II/grid/tria.h>
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/tria_accessor.h>
+#include <deal.II/grid/tria_iterator.h>
+#include <deal.II/grid/manifold_lib.h>
+#include <deal.II/dofs/dof_accessor.h>
+#include <deal.II/dofs/dof_tools.h>
+#include <deal.II/fe/fe_values.h>
+#include <deal.II/numerics/vector_tools.h>
+#include <deal.II/numerics/matrix_tools.h>
+#include <deal.II/numerics/data_out.h>
+
+#include <fstream>
+#include <iostream>
+
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/grid/grid_out.h>
+
+
+#include <deal.II/lac/constraint_matrix.h>
+
+#include <deal.II/grid/grid_refinement.h>
+
+#include <deal.II/numerics/error_estimator.h>
+
+using namespace dealii;
+
+
+
+template <int dim>
+class Step6
+{
+public:
+  Step6 ();
+  ~Step6 ();
+
+  void run ();
+
+private:
+  void setup_system ();
+  void assemble_system ();
+  void solve ();
+  void refine_grid ();
+  void output_results (const unsigned int cycle) const;
+
+  Triangulation<dim>   triangulation;
+
+  DoFHandler<dim>      dof_handler;
+  FE_Q<dim>            fe;
+
+  ConstraintMatrix     constraints;
+
+  SparsityPattern      sparsity_pattern;
+  SparseMatrix<double> system_matrix;
+
+  Vector<double>       solution;
+  Vector<double>       system_rhs;
+};
+
+
+
+template <int dim>
+double coefficient (const Point<dim> &p)
+{
+  if (p.square() < 0.5*0.5)
+    return 20;
+  else
+    return 1;
+}
+
+
+
+
+
+template <int dim>
+Step6<dim>::Step6 ()
+  :
+  dof_handler (triangulation),
+  fe (2)
+{}
+
+
+
+template <int dim>
+Step6<dim>::~Step6 ()
+{
+  dof_handler.clear ();
+}
+
+
+
+template <int dim>
+void Step6<dim>::setup_system ()
+{
+  dof_handler.distribute_dofs (fe);
+
+  solution.reinit (dof_handler.n_dofs());
+  system_rhs.reinit (dof_handler.n_dofs());
+
+
+  constraints.clear ();
+  DoFTools::make_hanging_node_constraints (dof_handler,
+                                           constraints);
+
+
+  VectorTools::interpolate_boundary_values (dof_handler,
+                                            0,
+                                            ZeroFunction<dim>(),
+                                            constraints);
+
+
+  constraints.close ();
+
+  DynamicSparsityPattern dsp(dof_handler.n_dofs());
+  DoFTools::make_sparsity_pattern(dof_handler,
+                                  dsp,
+                                  constraints,
+                                  /*keep_constrained_dofs = */ false);
+
+  sparsity_pattern.copy_from(dsp);
+
+  system_matrix.reinit (sparsity_pattern);
+}
+
+
+
+template <int dim>
+void Step6<dim>::assemble_system ()
+{
+  const QGauss<dim>  quadrature_formula(3);
+
+  FEValues<dim> fe_values (fe, quadrature_formula,
+                           update_values    |  update_gradients |
+                           update_quadrature_points  |  update_JxW_values);
+
+  const unsigned int   dofs_per_cell = fe.dofs_per_cell;
+  const unsigned int   n_q_points    = quadrature_formula.size();
+
+  FullMatrix<double>   cell_matrix (dofs_per_cell, dofs_per_cell);
+  Vector<double>       cell_rhs (dofs_per_cell);
+
+  std::vector<types::global_dof_index> local_dof_indices (dofs_per_cell);
+
+  typename DoFHandler<dim>::active_cell_iterator
+  cell = dof_handler.begin_active(),
+  endc = dof_handler.end();
+  for (; cell!=endc; ++cell)
+    {
+      cell_matrix = 0;
+      cell_rhs = 0;
+
+      fe_values.reinit (cell);
+
+      for (unsigned int q_index=0; q_index<n_q_points; ++q_index)
+        {
+          const double current_coefficient = coefficient<dim>
+                                             (fe_values.quadrature_point (q_index));
+          for (unsigned int i=0; i<dofs_per_cell; ++i)
+            {
+              for (unsigned int j=0; j<dofs_per_cell; ++j)
+                cell_matrix(i,j) += (current_coefficient *
+                                     fe_values.shape_grad(i,q_index) *
+                                     fe_values.shape_grad(j,q_index) *
+                                     fe_values.JxW(q_index));
+
+              cell_rhs(i) += (fe_values.shape_value(i,q_index) *
+                              1.0 *
+                              fe_values.JxW(q_index));
+            }
+        }
+
+      cell->get_dof_indices (local_dof_indices);
+      constraints.distribute_local_to_global (cell_matrix,
+                                              cell_rhs,
+                                              local_dof_indices,
+                                              system_matrix,
+                                              system_rhs);
+    }
+}
+
+
+
+
+template <int dim>
+void Step6<dim>::solve ()
+{
+  SolverControl      solver_control (1000, 1e-12);
+  SolverCG<>         solver (solver_control);
+
+  PreconditionSSOR<> preconditioner;
+  preconditioner.initialize(system_matrix, 1.2);
+
+  solver.solve (system_matrix, solution, system_rhs,
+                preconditioner);
+
+  constraints.distribute (solution);
+}
+
+
+
+template <int dim>
+void Step6<dim>::refine_grid ()
+{
+  Vector<float> estimated_error_per_cell (triangulation.n_active_cells());
+
+  KellyErrorEstimator<dim>::estimate (dof_handler,
+                                      QGauss<dim-1>(3),
+                                      typename FunctionMap<dim>::type(),
+                                      solution,
+                                      estimated_error_per_cell);
+
+  GridRefinement::refine_and_coarsen_fixed_number (triangulation,
+                                                   estimated_error_per_cell,
+                                                   0.3, 0.03);
+
+  triangulation.execute_coarsening_and_refinement ();
+}
+
+
+template <int dim>
+class HeatFluxPostprocessor : public DataPostprocessorVector<dim>
+{
+public:
+  HeatFluxPostprocessor ()
+    :
+    // like above, but now also make sure that DataOut provides
+    // us with coordinates of the evaluation points:
+    DataPostprocessorVector<dim> ("heatflux",
+                                  update_gradients | update_quadrature_points)
+  {}
+
+  virtual
+  void
+  evaluate_scalar_field (const DataPostprocessorInputs::Scalar<dim> &input_data,
+                         std::vector<Vector<double> >               &computed_quantities) const
+  {
+    AssertDimension (input_data.solution_gradients.size(),
+                     computed_quantities.size());
+
+    for (unsigned int p=0; p<input_data.solution_gradients.size(); ++p)
+      {
+        AssertDimension (computed_quantities[p].size(), dim);
+        for (unsigned int d=0; d<dim; ++d)
+          // like above, but also multiply the gradients with
+          // the coefficient evaluated at the current point:
+          computed_quantities[p][d]
+            = coefficient (input_data.evaluation_points[p]) *
+              input_data.solution_gradients[p][d];
+      }
+  }
+};
+
+
+
+template <int dim>
+void Step6<dim>::output_results (const unsigned int cycle) const
+{
+}
+
+
+
+template <int dim>
+void Step6<dim>::run ()
+{
+  for (unsigned int cycle=0; cycle<4; ++cycle)
+    {
+      deallog << "Cycle " << cycle << ':' << std::endl;
+
+      if (cycle == 0)
+        {
+          GridGenerator::hyper_ball (triangulation);
+
+          static const SphericalManifold<dim> boundary;
+          triangulation.set_all_manifold_ids_on_boundary(0);
+          triangulation.set_manifold (0, boundary);
+
+          triangulation.refine_global (1);
+        }
+      else
+        refine_grid ();
+
+
+      deallog << "   Number of active cells:       "
+              << triangulation.n_active_cells()
+              << std::endl;
+
+      setup_system ();
+
+      deallog << "   Number of degrees of freedom: "
+              << dof_handler.n_dofs()
+              << std::endl;
+
+      assemble_system ();
+      solve ();
+    }
+
+  HeatFluxPostprocessor<dim> heatflux_postprocessor;
+
+  DataOut<dim> data_out;
+
+  data_out.attach_dof_handler (dof_handler);
+  data_out.add_data_vector (solution, "solution");
+  data_out.add_data_vector (solution, heatflux_postprocessor);
+  data_out.build_patches ();
+
+  data_out.write_gnuplot (deallog.get_file_stream());
+}
+
+
+
+int main ()
+{
+  initlog ();
+
+  Step6<2> laplace_problem_2d;
+  laplace_problem_2d.run ();
+}
diff --git a/tests/numerics/data_out_postprocessor_vector_03.output b/tests/numerics/data_out_postprocessor_vector_03.output
new file mode 100644
index 0000000000..09e73b82fc
--- /dev/null
+++ b/tests/numerics/data_out_postprocessor_vector_03.output
@@ -0,0 +1,1428 @@
+
+DEAL::Cycle 0:
+DEAL::   Number of active cells:       20
+DEAL::   Number of degrees of freedom: 89
+DEAL:cg::Starting value 0.351647
+DEAL:cg::Convergence step 22 value 3.77522e-13
+DEAL::Cycle 1:
+DEAL::   Number of active cells:       44
+DEAL::   Number of degrees of freedom: 209
+DEAL:cg::Starting value 0.271387
+DEAL:cg::Convergence step 30 value 5.55301e-13
+DEAL::Cycle 2:
+DEAL::   Number of active cells:       92
+DEAL::   Number of degrees of freedom: 449
+DEAL:cg::Starting value 0.203851
+DEAL:cg::Convergence step 51 value 3.79839e-13
+DEAL::Cycle 3:
+DEAL::   Number of active cells:       200
+DEAL::   Number of degrees of freedom: 921
+DEAL:cg::Starting value 0.151971
+DEAL:cg::Convergence step 71 value 7.39437e-13
+# This file was generated by the deal.II library.
+
+
+#
+# For a description of the GNUPLOT format see the GNUPLOT manual.
+#
+# <x> <y> <solution> <heatflux> <heatflux> 
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-- 
2.39.5