--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2013 - 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.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+
+// this function tests the correctness of the implementation of matrix free
+// matrix-vector products for a special case of linear elements where all DoFs
+// are subject to constraints
+
+#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_values.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/manifold_lib.h>
+#include <deal.II/grid/tria.h>
+
+#include <deal.II/lac/affine_constraints.h>
+#include <deal.II/lac/dynamic_sparsity_pattern.h>
+#include <deal.II/lac/la_parallel_vector.h>
+#include <deal.II/lac/sparse_matrix.h>
+
+#include <deal.II/numerics/vector_tools.h>
+
+#include "../tests.h"
+#include "matrix_vector_mf.h"
+
+
+
+template <int dim,
+ int fe_degree,
+ typename Number,
+ typename VectorType = Vector<Number>,
+ int n_q_points_1d = fe_degree + 1>
+class MatrixFreeVariant
+{
+public:
+ typedef VectorizedArray<Number> vector_t;
+
+ MatrixFreeVariant(const MatrixFree<dim, Number> &data_in)
+ : data(data_in)
+ {}
+
+ void
+ vmult(VectorType &dst, const VectorType &src) const
+ {
+ const std::function<
+ void(const MatrixFree<dim, typename VectorType::value_type> &,
+ VectorType &,
+ const VectorType &,
+ const std::pair<unsigned int, unsigned int> &)>
+ wrap = helmholtz_operator<dim, fe_degree, VectorType, n_q_points_1d>;
+ data.cell_loop(wrap, dst, src, true);
+ for (auto i : data.get_constrained_dofs())
+ dst(i) += src(i);
+ }
+
+private:
+ const MatrixFree<dim, Number> &data;
+};
+
+
+
+template <int dim, int fe_degree>
+void
+test()
+{
+ Triangulation<dim> tria;
+ GridGenerator::hyper_cube(tria);
+
+ FE_Q<dim> fe(fe_degree);
+ DoFHandler<dim> dof(tria);
+ dof.distribute_dofs(fe);
+ AffineConstraints<double> constraints;
+ VectorTools::interpolate_boundary_values(dof,
+ 0,
+ ZeroFunction<dim>(),
+ constraints);
+ constraints.close();
+
+ deallog << "Testing " << dof.get_fe().get_name() << std::endl;
+
+ using number = double;
+
+ MatrixFree<dim, number> mf_data;
+ {
+ const QGauss<1> quad(fe_degree + 1);
+ typename MatrixFree<dim, number>::AdditionalData data;
+ data.tasks_parallel_scheme = MatrixFree<dim, number>::AdditionalData::none;
+ mf_data.reinit(dof, constraints, quad, data);
+ }
+
+ MatrixFreeVariant<dim,
+ fe_degree,
+ number,
+ LinearAlgebra::distributed::Vector<number>,
+ fe_degree + 1>
+ mf(mf_data);
+ LinearAlgebra::distributed::Vector<number> in(dof.n_dofs()),
+ out(dof.n_dofs());
+ LinearAlgebra::distributed::Vector<number> out_dist(in);
+
+ for (unsigned int i = 0; i < dof.n_dofs(); ++i)
+ {
+ const double entry = random_value<double>();
+ in(i) = entry;
+ }
+
+ out = in;
+ mf.vmult(out, in);
+
+ // assemble sparse matrix with (\nabla v, \nabla u) + (v, 10 * u)
+ SparsityPattern sparsity;
+ {
+ DynamicSparsityPattern csp(dof.n_dofs(), dof.n_dofs());
+ DoFTools::make_sparsity_pattern(dof, csp, constraints, true);
+ sparsity.copy_from(csp);
+ }
+ SparseMatrix<double> sparse_matrix(sparsity);
+ {
+ QGauss<dim> quadrature_formula(fe_degree + 1);
+
+ FEValues<dim> fe_values(dof.get_fe(),
+ quadrature_formula,
+ update_values | update_gradients |
+ update_JxW_values);
+
+ const unsigned int dofs_per_cell = dof.get_fe().dofs_per_cell;
+ const unsigned int n_q_points = quadrature_formula.size();
+
+ FullMatrix<double> cell_matrix(dofs_per_cell, dofs_per_cell);
+ std::vector<types::global_dof_index> local_dof_indices(dofs_per_cell);
+
+ typename DoFHandler<dim>::active_cell_iterator cell = dof.begin_active(),
+ endc = dof.end();
+ for (; cell != endc; ++cell)
+ {
+ cell_matrix = 0;
+ fe_values.reinit(cell);
+
+ for (unsigned int q_point = 0; q_point < n_q_points; ++q_point)
+ for (unsigned int i = 0; i < dofs_per_cell; ++i)
+ {
+ for (unsigned int j = 0; j < dofs_per_cell; ++j)
+ cell_matrix(i, j) += ((fe_values.shape_grad(i, q_point) *
+ fe_values.shape_grad(j, q_point) +
+ 10. * fe_values.shape_value(i, q_point) *
+ fe_values.shape_value(j, q_point)) *
+ fe_values.JxW(q_point));
+ }
+
+ cell->get_dof_indices(local_dof_indices);
+ constraints.distribute_local_to_global(cell_matrix,
+ local_dof_indices,
+ sparse_matrix);
+ }
+ }
+ // set matrix entries to constrained rows to 1 for consistency with
+ // matrix-free
+ for (unsigned int i = 0; i < dof.n_dofs(); ++i)
+ if (constraints.is_constrained(i))
+ sparse_matrix.set(i, i, 1);
+
+ sparse_matrix.vmult(out_dist, in);
+ out -= out_dist;
+ const double diff_norm = out.linfty_norm() / out_dist.linfty_norm();
+
+ deallog << "Norm of difference: " << diff_norm << std::endl << std::endl;
+}
+
+
+int
+main()
+{
+ initlog();
+ deallog << std::setprecision(3);
+
+ test<2, 1>();
+ test<3, 1>();
+}