--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2009 - 2013 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.
+//
+// ---------------------------------------------------------------------
+
+
+
+// tests that assembly in parallel works properly even when using two separate
+// loops on the same constraint matrix, otherwise similar to
+// assemble_matrix_parallel_01
+
+#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/base/utilities.h>
+#include <deal.II/base/work_stream.h>
+#include <deal.II/base/graph_coloring.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/solver_cg.h>
+#include <deal.II/lac/precondition.h>
+#include <deal.II/grid/tria.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/grid_refinement.h>
+#include <deal.II/dofs/dof_accessor.h>
+#include <deal.II/dofs/dof_tools.h>
+#include <deal.II/lac/constraint_matrix.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/numerics/vector_tools.h>
+#include <deal.II/numerics/matrix_tools.h>
+#include <deal.II/numerics/error_estimator.h>
+#include <deal.II/lac/compressed_simple_sparsity_pattern.h>
+#include <deal.II/hp/dof_handler.h>
+#include <deal.II/hp/fe_values.h>
+
+#include <fstream>
+#include <iostream>
+#include <complex>
+
+std::ofstream logfile("output");
+
+using namespace dealii;
+
+
+namespace Assembly
+{
+ namespace Scratch
+ {
+ template <int dim>
+ struct Data
+ {
+ Data (const hp::FECollection<dim> &fe,
+ const hp::QCollection<dim> &quadrature)
+ :
+ hp_fe_values(fe,
+ quadrature,
+ update_values | update_gradients |
+ update_quadrature_points | update_JxW_values)
+ {}
+
+ Data (const Data &data)
+ :
+ hp_fe_values(data.hp_fe_values.get_mapping_collection(),
+ data.hp_fe_values.get_fe_collection(),
+ data.hp_fe_values.get_quadrature_collection(),
+ data.hp_fe_values.get_update_flags())
+ {}
+
+ hp::FEValues<dim> hp_fe_values;
+ };
+ }
+
+ namespace Copy
+ {
+ struct Data
+ {
+ Data (bool second_test = false)
+ :
+ second_test (second_test)
+ {}
+
+ Data (const Data &data)
+ :
+ second_test (data.second_test)
+ {}
+
+ std::vector<types::global_dof_index> local_dof_indices;
+ FullMatrix<double> local_matrix;
+ Vector<double> local_rhs;
+ const bool second_test;
+ };
+ }
+}
+
+template <int dim>
+class LaplaceProblem
+{
+public:
+ LaplaceProblem ();
+ ~LaplaceProblem ();
+
+ void run ();
+
+private:
+ void setup_system ();
+ void test_equality ();
+ void assemble_reference ();
+ void assemble_test ();
+ void assemble_test_1();
+ void assemble_test_2();
+ void solve ();
+ void create_coarse_grid ();
+ void postprocess ();
+
+ void local_assemble (const typename hp::DoFHandler<dim>::active_cell_iterator &cell,
+ Assembly::Scratch::Data<dim> &scratch,
+ Assembly::Copy::Data &data);
+ void copy_local_to_global (const Assembly::Copy::Data &data);
+
+ std::vector<types::global_dof_index>
+ get_conflict_indices (typename hp::DoFHandler<dim>::active_cell_iterator const &cell) const;
+
+ Triangulation<dim> triangulation;
+
+ hp::DoFHandler<dim> dof_handler;
+ hp::FECollection<dim> fe_collection;
+ hp::QCollection<dim> quadrature_collection;
+ hp::QCollection<dim-1> face_quadrature_collection;
+
+ ConstraintMatrix constraints;
+
+ SparsityPattern sparsity_pattern;
+ SparseMatrix<double> reference_matrix;
+ SparseMatrix<double> test_matrix;
+ SparseMatrix<double> test_matrix_2;
+
+ Vector<double> solution;
+ Vector<double> reference_rhs;
+ Vector<double> test_rhs;
+ Vector<double> test_rhs_2;
+
+ std::vector<std::vector<typename hp::DoFHandler<dim>::active_cell_iterator> > graph;
+
+ const unsigned int max_degree;
+};
+
+
+
+template <int dim>
+class BoundaryValues : public Function<dim>
+{
+public:
+ BoundaryValues () : Function<dim> () {}
+
+ virtual double value (const Point<dim> &p,
+ const unsigned int component) const;
+};
+
+
+template <int dim>
+double
+BoundaryValues<dim>::value (const Point<dim> &p,
+ const unsigned int /*component*/) const
+{
+ double sum = 0;
+ for (unsigned int d=0; d<dim; ++d)
+ sum += std::sin(deal_II_numbers::PI*p[d]);
+ return sum;
+}
+
+
+template <int dim>
+class RightHandSide : public Function<dim>
+{
+public:
+ RightHandSide () : Function<dim> () {}
+
+ virtual double value (const Point<dim> &p,
+ const unsigned int component) const;
+};
+
+
+template <int dim>
+double
+RightHandSide<dim>::value (const Point<dim> &p,
+ const unsigned int /*component*/) const
+{
+ double product = 1;
+ for (unsigned int d=0; d<dim; ++d)
+ product *= (p[d]+1);
+ return product;
+}
+
+
+template <int dim>
+LaplaceProblem<dim>::LaplaceProblem ()
+ :
+ dof_handler (triangulation),
+ max_degree (5)
+{
+ if (dim == 2)
+ for (unsigned int degree=2; degree<=max_degree; ++degree)
+ {
+ fe_collection.push_back (FE_Q<dim>(degree));
+ quadrature_collection.push_back (QGauss<dim>(degree+1));
+ face_quadrature_collection.push_back (QGauss<dim-1>(degree+1));
+ }
+ else
+ for (unsigned int degree=1; degree<max_degree-1; ++degree)
+ {
+ fe_collection.push_back (FE_Q<dim>(degree));
+ quadrature_collection.push_back (QGauss<dim>(degree+1));
+ face_quadrature_collection.push_back (QGauss<dim-1>(degree+1));
+ }
+}
+
+
+template <int dim>
+LaplaceProblem<dim>::~LaplaceProblem ()
+{
+ dof_handler.clear ();
+}
+
+
+
+template <int dim>
+std::vector<types::global_dof_index>
+LaplaceProblem<dim>::
+get_conflict_indices (typename hp::DoFHandler<dim>::active_cell_iterator const &cell) const
+{
+ std::vector<types::global_dof_index> local_dof_indices(cell->get_fe().dofs_per_cell);
+ cell->get_dof_indices(local_dof_indices);
+
+ constraints.resolve_indices(local_dof_indices);
+ return local_dof_indices;
+}
+
+template <int dim>
+void LaplaceProblem<dim>::setup_system ()
+{
+ reference_matrix.clear();
+ test_matrix.clear();
+ dof_handler.distribute_dofs (fe_collection);
+
+ solution.reinit (dof_handler.n_dofs());
+ reference_rhs.reinit (dof_handler.n_dofs());
+ test_rhs.reinit (dof_handler.n_dofs());
+ test_rhs_2.reinit (dof_handler.n_dofs());
+
+ constraints.clear ();
+
+ DoFTools::make_hanging_node_constraints (dof_handler, constraints);
+
+ // add boundary conditions as inhomogeneous constraints here, do it after
+ // having added the hanging node constraints in order to be consistent and
+ // skip dofs that are already constrained (i.e., are hanging nodes on the
+ // boundary in 3D). In contrast to step-27, we choose a sine function.
+ VectorTools::interpolate_boundary_values (dof_handler,
+ 0,
+ BoundaryValues<dim>(),
+ constraints);
+ constraints.close ();
+
+ graph = GraphColoring::make_graph_coloring(dof_handler.begin_active(),dof_handler.end(),
+ static_cast<std_cxx1x::function<std::vector<types::global_dof_index>
+ (typename hp::DoFHandler<dim>::active_cell_iterator const &)> >
+ (std_cxx1x::bind(&LaplaceProblem<dim>::get_conflict_indices, this,std_cxx1x::_1)));
+
+
+ CompressedSimpleSparsityPattern csp (dof_handler.n_dofs(),
+ dof_handler.n_dofs());
+ DoFTools::make_sparsity_pattern (dof_handler, csp,
+ constraints, false);
+ sparsity_pattern.copy_from (csp);
+
+ reference_matrix.reinit (sparsity_pattern);
+ test_matrix.reinit (sparsity_pattern);
+ test_matrix_2.reinit (sparsity_pattern);
+}
+
+
+
+template <int dim>
+void
+LaplaceProblem<dim>::local_assemble (const typename hp::DoFHandler<dim>::active_cell_iterator &cell,
+ Assembly::Scratch::Data<dim> &scratch,
+ Assembly::Copy::Data &data)
+{
+ const unsigned int dofs_per_cell = cell->get_fe().dofs_per_cell;
+
+ data.local_matrix.reinit (dofs_per_cell, dofs_per_cell);
+ data.local_matrix = 0;
+
+ data.local_rhs.reinit (dofs_per_cell);
+ data.local_rhs = 0;
+
+ scratch.hp_fe_values.reinit (cell);
+
+ const FEValues<dim> &fe_values = scratch.hp_fe_values.get_present_fe_values ();
+
+ const RightHandSide<dim> rhs_function;
+
+ for (unsigned int q_point=0;
+ q_point<fe_values.n_quadrature_points;
+ ++q_point)
+ {
+ const double scale_mat = data.second_test ? numbers::PI : 1.;
+ const double rhs_value = rhs_function.value(fe_values.quadrature_point(q_point),0);
+ for (unsigned int i=0; i<dofs_per_cell; ++i)
+ {
+ for (unsigned int j=0; j<dofs_per_cell; ++j)
+ data.local_matrix(i,j) += (scale_mat *
+ fe_values.shape_grad(i,q_point) *
+ fe_values.shape_grad(j,q_point) *
+ fe_values.JxW(q_point));
+
+ data.local_rhs(i) += (fe_values.shape_value(i,q_point) *
+ rhs_value * scale_mat *
+ fe_values.JxW(q_point));
+ }
+ }
+
+ data.local_dof_indices.resize (dofs_per_cell);
+ cell->get_dof_indices (data.local_dof_indices);
+}
+
+
+
+template <int dim>
+void
+LaplaceProblem<dim>::copy_local_to_global (const Assembly::Copy::Data &data)
+{
+ if (data.second_test)
+ constraints.distribute_local_to_global(data.local_matrix, data.local_rhs,
+ data.local_dof_indices,
+ test_matrix_2, test_rhs_2);
+ else
+ constraints.distribute_local_to_global(data.local_matrix, data.local_rhs,
+ data.local_dof_indices,
+ test_matrix, test_rhs);
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_reference ()
+{
+ test_matrix = 0;
+ test_rhs = 0;
+
+ Assembly::Copy::Data copy_data;
+ Assembly::Scratch::Data<dim> assembly_data(fe_collection, quadrature_collection);
+
+ for (unsigned int color=0; color<graph.size(); ++color)
+ for (typename std::vector<typename hp::DoFHandler<dim>::active_cell_iterator>::const_iterator p = graph[color].begin();
+ p != graph[color].end(); ++p)
+ {
+ local_assemble(*p, assembly_data, copy_data);
+ copy_local_to_global(copy_data);
+ }
+
+ reference_matrix.add(1., test_matrix);
+ reference_rhs = test_rhs;
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_test_1 ()
+{
+ test_matrix = 0;
+ test_rhs = 0;
+
+ WorkStream::
+ run (graph,
+ std_cxx1x::bind (&LaplaceProblem<dim>::
+ local_assemble,
+ this,
+ std_cxx1x::_1,
+ std_cxx1x::_2,
+ std_cxx1x::_3),
+ std_cxx1x::bind (&LaplaceProblem<dim>::
+ copy_local_to_global,
+ this,
+ std_cxx1x::_1),
+ Assembly::Scratch::Data<dim>(fe_collection, quadrature_collection),
+ Assembly::Copy::Data (),
+ 1);
+}
+
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_test_2 ()
+{
+ test_matrix_2 = 0;
+ test_rhs_2 = 0;
+
+ WorkStream::
+ run (graph,
+ std_cxx1x::bind (&LaplaceProblem<dim>::
+ local_assemble,
+ this,
+ std_cxx1x::_1,
+ std_cxx1x::_2,
+ std_cxx1x::_3),
+ std_cxx1x::bind (&LaplaceProblem<dim>::
+ copy_local_to_global,
+ this,
+ std_cxx1x::_1),
+ Assembly::Scratch::Data<dim>(fe_collection, quadrature_collection),
+ Assembly::Copy::Data (true),
+ 1);
+}
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_test()
+{
+ // start two tasks that each run an assembly
+ Threads::TaskGroup<void> tasks;
+ tasks += Threads::new_task (&LaplaceProblem<dim>::assemble_test_1,
+ *this);
+ tasks += Threads::new_task (&LaplaceProblem<dim>::assemble_test_2,
+ *this);
+ tasks.join_all();
+
+ test_matrix.add(-1, reference_matrix);
+ const double frobenius_norm = test_matrix.frobenius_norm();
+
+ // the data should add up exactly (unfortunately, there is some roundoff due
+ // to the cell similarity detection, but there should not be any similarity
+ // for the hypershell geometry)
+ deallog << "log error in matrix norm: " << std::log(frobenius_norm) << std::endl;
+ test_rhs.add(-1., reference_rhs);
+ deallog << "log error in vector norm: " << std::log(test_rhs.l2_norm()) << std::endl;
+
+ test_matrix_2.add(-numbers::PI, reference_matrix);
+ deallog << "absolute error matrix assembly 2: " << test_matrix_2.frobenius_norm() << std::endl;
+ test_rhs_2.add(-numbers::PI, reference_rhs);
+ deallog << "absolute error vector assembly 2: " << test_rhs_2.l2_norm() << std::endl;
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::postprocess ()
+{
+ Vector<float> estimated_error_per_cell (triangulation.n_active_cells());
+ for (unsigned int i=0; i<estimated_error_per_cell.size(); ++i)
+ estimated_error_per_cell(i) = i;
+
+ GridRefinement::refine_and_coarsen_fixed_number (triangulation,
+ estimated_error_per_cell,
+ 0.3, 0.03);
+ triangulation.execute_coarsening_and_refinement ();
+
+ for (typename hp::DoFHandler<dim>::active_cell_iterator cell = dof_handler.begin_active();
+ cell != dof_handler.end(); ++cell)
+ cell->set_active_fe_index (rand() % fe_collection.size());
+}
+
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::run ()
+{
+ for (unsigned int cycle=0; cycle<3; ++cycle)
+ {
+ if (cycle == 0)
+ {
+ GridGenerator::hyper_shell(triangulation,
+ Point<dim>(),
+ 0.5, 1., (dim==3) ? 96 : 12, false);
+ triangulation.refine_global(2);
+ }
+
+ setup_system ();
+
+ assemble_reference ();
+ assemble_test ();
+
+ if (cycle < 2)
+ postprocess ();
+ }
+}
+
+
+
+int main ()
+{
+ deallog << std::setprecision (2);
+ logfile << std::setprecision (2);
+ deallog.attach(logfile);
+ deallog.depth_console(0);
+ deallog.threshold_double(1.e-8);
+
+ {
+ deallog.push("2d");
+ LaplaceProblem<2> laplace_problem;
+ laplace_problem.run ();
+ deallog.pop();
+ }
+}
+
--- /dev/null
+
+DEAL:2d::log error in matrix norm: -inf
+DEAL:2d::log error in vector norm: -inf
+DEAL:2d::absolute error matrix assembly 2: 0
+DEAL:2d::absolute error vector assembly 2: 0
+DEAL:2d::log error in matrix norm: -inf
+DEAL:2d::log error in vector norm: -inf
+DEAL:2d::absolute error matrix assembly 2: 0
+DEAL:2d::absolute error vector assembly 2: 0
+DEAL:2d::log error in matrix norm: -inf
+DEAL:2d::log error in vector norm: -inf
+DEAL:2d::absolute error matrix assembly 2: 0
+DEAL:2d::absolute error vector assembly 2: 0
-// same as assemble_matrix_parallel, but now for a BlockSparseMatrix
+// same as assemble_matrix_parallel_01, but now for a BlockSparseMatrix
#include "../tests.h"
--- /dev/null
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2009 - 2013 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.
+//
+// ---------------------------------------------------------------------
+
+
+
+// same as assemble_matrix_parallel_02, but using a constraint that should
+// create conflicts on most cells (similar to mean value constraint)
+
+#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/base/utilities.h>
+#include <deal.II/base/work_stream.h>
+#include <deal.II/base/graph_coloring.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/solver_cg.h>
+#include <deal.II/lac/precondition.h>
+#include <deal.II/grid/tria.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/grid_refinement.h>
+#include <deal.II/dofs/dof_accessor.h>
+#include <deal.II/dofs/dof_tools.h>
+#include <deal.II/lac/constraint_matrix.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/numerics/vector_tools.h>
+#include <deal.II/numerics/matrix_tools.h>
+#include <deal.II/numerics/error_estimator.h>
+#include <deal.II/lac/compressed_simple_sparsity_pattern.h>
+#include <deal.II/hp/dof_handler.h>
+#include <deal.II/hp/fe_values.h>
+
+#include <fstream>
+#include <iostream>
+#include <complex>
+
+std::ofstream logfile("output");
+
+using namespace dealii;
+
+
+namespace Assembly
+{
+ namespace Scratch
+ {
+ template <int dim>
+ struct Data
+ {
+ Data (const hp::FECollection<dim> &fe,
+ const hp::QCollection<dim> &quadrature)
+ :
+ hp_fe_values(fe,
+ quadrature,
+ update_values | update_gradients |
+ update_quadrature_points | update_JxW_values)
+ {}
+
+ Data (const Data &data)
+ :
+ hp_fe_values(data.hp_fe_values.get_mapping_collection(),
+ data.hp_fe_values.get_fe_collection(),
+ data.hp_fe_values.get_quadrature_collection(),
+ data.hp_fe_values.get_update_flags())
+ {}
+
+ hp::FEValues<dim> hp_fe_values;
+ };
+ }
+
+ namespace Copy
+ {
+ struct Data
+ {
+ Data (bool second_test = false)
+ :
+ second_test (second_test)
+ {}
+
+ Data (const Data &data)
+ :
+ second_test (data.second_test)
+ {}
+
+ std::vector<types::global_dof_index> local_dof_indices;
+ FullMatrix<double> local_matrix;
+ Vector<double> local_rhs;
+ const bool second_test;
+ };
+ }
+}
+
+template <int dim>
+class LaplaceProblem
+{
+public:
+ LaplaceProblem ();
+ ~LaplaceProblem ();
+
+ void run ();
+
+private:
+ void setup_system ();
+ void test_equality ();
+ void assemble_reference ();
+ void assemble_test ();
+ void assemble_test_1();
+ void assemble_test_2();
+ void solve ();
+ void create_coarse_grid ();
+ void postprocess ();
+
+ void local_assemble (const typename hp::DoFHandler<dim>::active_cell_iterator &cell,
+ Assembly::Scratch::Data<dim> &scratch,
+ Assembly::Copy::Data &data);
+ void copy_local_to_global (const Assembly::Copy::Data &data);
+
+ std::vector<types::global_dof_index>
+ get_conflict_indices (typename hp::DoFHandler<dim>::active_cell_iterator const &cell) const;
+
+ Triangulation<dim> triangulation;
+
+ hp::DoFHandler<dim> dof_handler;
+ hp::FECollection<dim> fe_collection;
+ hp::QCollection<dim> quadrature_collection;
+ hp::QCollection<dim-1> face_quadrature_collection;
+
+ ConstraintMatrix constraints;
+
+ SparsityPattern sparsity_pattern;
+ SparseMatrix<double> reference_matrix;
+ SparseMatrix<double> test_matrix;
+ SparseMatrix<double> test_matrix_2;
+
+ Vector<double> solution;
+ Vector<double> reference_rhs;
+ Vector<double> test_rhs;
+ Vector<double> test_rhs_2;
+
+ std::vector<std::vector<typename hp::DoFHandler<dim>::active_cell_iterator> > graph;
+
+ const unsigned int max_degree;
+};
+
+
+
+template <int dim>
+class BoundaryValues : public Function<dim>
+{
+public:
+ BoundaryValues () : Function<dim> () {}
+
+ virtual double value (const Point<dim> &p,
+ const unsigned int component) const;
+};
+
+
+template <int dim>
+double
+BoundaryValues<dim>::value (const Point<dim> &p,
+ const unsigned int /*component*/) const
+{
+ double sum = 0;
+ for (unsigned int d=0; d<dim; ++d)
+ sum += std::sin(deal_II_numbers::PI*p[d]);
+ return sum;
+}
+
+
+template <int dim>
+class RightHandSide : public Function<dim>
+{
+public:
+ RightHandSide () : Function<dim> () {}
+
+ virtual double value (const Point<dim> &p,
+ const unsigned int component) const;
+};
+
+
+template <int dim>
+double
+RightHandSide<dim>::value (const Point<dim> &p,
+ const unsigned int /*component*/) const
+{
+ double product = 1;
+ for (unsigned int d=0; d<dim; ++d)
+ product *= (p[d]+1);
+ return product;
+}
+
+
+template <int dim>
+LaplaceProblem<dim>::LaplaceProblem ()
+ :
+ dof_handler (triangulation),
+ max_degree (5)
+{
+ if (dim == 2)
+ for (unsigned int degree=2; degree<=max_degree; ++degree)
+ {
+ fe_collection.push_back (FE_Q<dim>(degree));
+ quadrature_collection.push_back (QGauss<dim>(degree+1));
+ face_quadrature_collection.push_back (QGauss<dim-1>(degree+1));
+ }
+ else
+ for (unsigned int degree=1; degree<max_degree-1; ++degree)
+ {
+ fe_collection.push_back (FE_Q<dim>(degree));
+ quadrature_collection.push_back (QGauss<dim>(degree+1));
+ face_quadrature_collection.push_back (QGauss<dim-1>(degree+1));
+ }
+}
+
+
+template <int dim>
+LaplaceProblem<dim>::~LaplaceProblem ()
+{
+ dof_handler.clear ();
+}
+
+
+
+template <int dim>
+std::vector<types::global_dof_index>
+LaplaceProblem<dim>::
+get_conflict_indices (typename hp::DoFHandler<dim>::active_cell_iterator const &cell) const
+{
+ std::vector<types::global_dof_index> local_dof_indices(cell->get_fe().dofs_per_cell);
+ cell->get_dof_indices(local_dof_indices);
+
+ constraints.resolve_indices(local_dof_indices);
+ return local_dof_indices;
+}
+
+template <int dim>
+void LaplaceProblem<dim>::setup_system ()
+{
+ reference_matrix.clear();
+ test_matrix.clear();
+ dof_handler.distribute_dofs (fe_collection);
+
+ solution.reinit (dof_handler.n_dofs());
+ reference_rhs.reinit (dof_handler.n_dofs());
+ test_rhs.reinit (dof_handler.n_dofs());
+ test_rhs_2.reinit (dof_handler.n_dofs());
+
+ constraints.clear ();
+
+ // add a constraint that expands over most of the domain, which should
+ // create many conflicts
+ constraints.add_line(3);
+ for (unsigned int i=5; i<dof_handler.n_dofs(); i+=11)
+ constraints.add_entry(3, i, -0.5);
+
+ DoFTools::make_hanging_node_constraints (dof_handler, constraints);
+
+ // add boundary conditions as inhomogeneous constraints here, do it after
+ // having added the hanging node constraints in order to be consistent and
+ // skip dofs that are already constrained (i.e., are hanging nodes on the
+ // boundary in 3D). In contrast to step-27, we choose a sine function.
+ VectorTools::interpolate_boundary_values (dof_handler,
+ 0,
+ BoundaryValues<dim>(),
+ constraints);
+ constraints.close ();
+
+ graph = GraphColoring::make_graph_coloring(dof_handler.begin_active(),dof_handler.end(),
+ static_cast<std_cxx1x::function<std::vector<types::global_dof_index>
+ (typename hp::DoFHandler<dim>::active_cell_iterator const &)> >
+ (std_cxx1x::bind(&LaplaceProblem<dim>::get_conflict_indices, this,std_cxx1x::_1)));
+
+
+ CompressedSimpleSparsityPattern csp (dof_handler.n_dofs(),
+ dof_handler.n_dofs());
+ DoFTools::make_sparsity_pattern (dof_handler, csp,
+ constraints, false);
+ sparsity_pattern.copy_from (csp);
+
+ reference_matrix.reinit (sparsity_pattern);
+ test_matrix.reinit (sparsity_pattern);
+ test_matrix_2.reinit (sparsity_pattern);
+}
+
+
+
+template <int dim>
+void
+LaplaceProblem<dim>::local_assemble (const typename hp::DoFHandler<dim>::active_cell_iterator &cell,
+ Assembly::Scratch::Data<dim> &scratch,
+ Assembly::Copy::Data &data)
+{
+ const unsigned int dofs_per_cell = cell->get_fe().dofs_per_cell;
+
+ data.local_matrix.reinit (dofs_per_cell, dofs_per_cell);
+ data.local_matrix = 0;
+
+ data.local_rhs.reinit (dofs_per_cell);
+ data.local_rhs = 0;
+
+ scratch.hp_fe_values.reinit (cell);
+
+ const FEValues<dim> &fe_values = scratch.hp_fe_values.get_present_fe_values ();
+
+ const RightHandSide<dim> rhs_function;
+
+ for (unsigned int q_point=0;
+ q_point<fe_values.n_quadrature_points;
+ ++q_point)
+ {
+ const double scale_mat = data.second_test ? numbers::PI : 1.;
+ const double rhs_value = rhs_function.value(fe_values.quadrature_point(q_point),0);
+ for (unsigned int i=0; i<dofs_per_cell; ++i)
+ {
+ for (unsigned int j=0; j<dofs_per_cell; ++j)
+ data.local_matrix(i,j) += (scale_mat *
+ fe_values.shape_grad(i,q_point) *
+ fe_values.shape_grad(j,q_point) *
+ fe_values.JxW(q_point));
+
+ data.local_rhs(i) += (fe_values.shape_value(i,q_point) *
+ rhs_value * scale_mat *
+ fe_values.JxW(q_point));
+ }
+ }
+
+ data.local_dof_indices.resize (dofs_per_cell);
+ cell->get_dof_indices (data.local_dof_indices);
+}
+
+
+
+template <int dim>
+void
+LaplaceProblem<dim>::copy_local_to_global (const Assembly::Copy::Data &data)
+{
+ if (data.second_test)
+ constraints.distribute_local_to_global(data.local_matrix, data.local_rhs,
+ data.local_dof_indices,
+ test_matrix_2, test_rhs_2);
+ else
+ constraints.distribute_local_to_global(data.local_matrix, data.local_rhs,
+ data.local_dof_indices,
+ test_matrix, test_rhs);
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_reference ()
+{
+ test_matrix = 0;
+ test_rhs = 0;
+
+ Assembly::Copy::Data copy_data;
+ Assembly::Scratch::Data<dim> assembly_data(fe_collection, quadrature_collection);
+
+ for (unsigned int color=0; color<graph.size(); ++color)
+ for (typename std::vector<typename hp::DoFHandler<dim>::active_cell_iterator>::const_iterator p = graph[color].begin();
+ p != graph[color].end(); ++p)
+ {
+ local_assemble(*p, assembly_data, copy_data);
+ copy_local_to_global(copy_data);
+ }
+
+ reference_matrix.add(1., test_matrix);
+ reference_rhs = test_rhs;
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_test_1 ()
+{
+ test_matrix = 0;
+ test_rhs = 0;
+
+ WorkStream::
+ run (graph,
+ std_cxx1x::bind (&LaplaceProblem<dim>::
+ local_assemble,
+ this,
+ std_cxx1x::_1,
+ std_cxx1x::_2,
+ std_cxx1x::_3),
+ std_cxx1x::bind (&LaplaceProblem<dim>::
+ copy_local_to_global,
+ this,
+ std_cxx1x::_1),
+ Assembly::Scratch::Data<dim>(fe_collection, quadrature_collection),
+ Assembly::Copy::Data (),
+ 1);
+}
+
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_test_2 ()
+{
+ test_matrix_2 = 0;
+ test_rhs_2 = 0;
+
+ WorkStream::
+ run (graph,
+ std_cxx1x::bind (&LaplaceProblem<dim>::
+ local_assemble,
+ this,
+ std_cxx1x::_1,
+ std_cxx1x::_2,
+ std_cxx1x::_3),
+ std_cxx1x::bind (&LaplaceProblem<dim>::
+ copy_local_to_global,
+ this,
+ std_cxx1x::_1),
+ Assembly::Scratch::Data<dim>(fe_collection, quadrature_collection),
+ Assembly::Copy::Data (true),
+ 1);
+}
+
+template <int dim>
+void LaplaceProblem<dim>::assemble_test()
+{
+ // start two tasks that each run an assembly
+ Threads::TaskGroup<void> tasks;
+ tasks += Threads::new_task (&LaplaceProblem<dim>::assemble_test_1,
+ *this);
+ tasks += Threads::new_task (&LaplaceProblem<dim>::assemble_test_2,
+ *this);
+ tasks.join_all();
+
+ test_matrix.add(-1, reference_matrix);
+ const double frobenius_norm = test_matrix.frobenius_norm();
+
+ // the data should add up exactly (unfortunately, there is some roundoff due
+ // to the cell similarity detection, but there should not be any similarity
+ // for the hypershell geometry)
+ deallog << "log error in matrix norm: " << std::log(frobenius_norm) << std::endl;
+ test_rhs.add(-1., reference_rhs);
+ deallog << "log error in vector norm: " << std::log(test_rhs.l2_norm()) << std::endl;
+
+ test_matrix_2.add(-numbers::PI, reference_matrix);
+ deallog << "absolute error matrix assembly 2: " << test_matrix_2.frobenius_norm() << std::endl;
+ test_rhs_2.add(-numbers::PI, reference_rhs);
+ deallog << "absolute error vector assembly 2: " << test_rhs_2.l2_norm() << std::endl;
+}
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::postprocess ()
+{
+ Vector<float> estimated_error_per_cell (triangulation.n_active_cells());
+ for (unsigned int i=0; i<estimated_error_per_cell.size(); ++i)
+ estimated_error_per_cell(i) = i;
+
+ GridRefinement::refine_and_coarsen_fixed_number (triangulation,
+ estimated_error_per_cell,
+ 0.3, 0.03);
+ triangulation.execute_coarsening_and_refinement ();
+
+ for (typename hp::DoFHandler<dim>::active_cell_iterator cell = dof_handler.begin_active();
+ cell != dof_handler.end(); ++cell)
+ cell->set_active_fe_index (rand() % fe_collection.size());
+}
+
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::run ()
+{
+ for (unsigned int cycle=0; cycle<3; ++cycle)
+ {
+ if (cycle == 0)
+ {
+ GridGenerator::hyper_shell(triangulation,
+ Point<dim>(),
+ 0.5, 1., (dim==3) ? 96 : 12, false);
+ triangulation.refine_global(2);
+ }
+
+ setup_system ();
+
+ assemble_reference ();
+ assemble_test ();
+
+ if (cycle < 2)
+ postprocess ();
+ }
+}
+
+
+
+int main ()
+{
+ deallog << std::setprecision (2);
+ logfile << std::setprecision (2);
+ deallog.attach(logfile);
+ deallog.depth_console(0);
+ deallog.threshold_double(1.e-8);
+
+ {
+ deallog.push("2d");
+ LaplaceProblem<2> laplace_problem;
+ laplace_problem.run ();
+ deallog.pop();
+ }
+}
+
--- /dev/null
+
+DEAL:2d::log error in matrix norm: -inf
+DEAL:2d::log error in vector norm: -inf
+DEAL:2d::absolute error matrix assembly 2: 0
+DEAL:2d::absolute error vector assembly 2: 0
+DEAL:2d::log error in matrix norm: -inf
+DEAL:2d::log error in vector norm: -inf
+DEAL:2d::absolute error matrix assembly 2: 0
+DEAL:2d::absolute error vector assembly 2: 0
+DEAL:2d::log error in matrix norm: -inf
+DEAL:2d::log error in vector norm: -inf
+DEAL:2d::absolute error matrix assembly 2: 0
+DEAL:2d::absolute error vector assembly 2: 0