--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2018 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.
+//
+// ---------------------------------------------------------------------
+
+
+// Same as matrix_free_matrix_vector_06b but uses varying coefficients
+
+#include <deal.II/base/function.h>
+
+#include "../tests.h"
+#include "create_mesh.h"
+
+std::ofstream logfile("output");
+
+#include "matrix_vector_common.h"
+
+template <int dim, int fe_degree>
+void
+test()
+{
+ if (fe_degree > 1)
+ return;
+ Triangulation<dim> tria;
+ create_mesh(tria);
+ tria.begin_active()->set_refine_flag();
+ tria.execute_coarsening_and_refinement();
+ typename Triangulation<dim>::active_cell_iterator cell, endc;
+ cell = tria.begin_active();
+ endc = tria.end();
+ for (; cell != endc; ++cell)
+ if (cell->center().norm() < 0.5)
+ cell->set_refine_flag();
+ tria.execute_coarsening_and_refinement();
+ tria.begin(tria.n_levels() - 1)->set_refine_flag();
+ tria.last()->set_refine_flag();
+ tria.execute_coarsening_and_refinement();
+ tria.refine_global(1);
+ cell = tria.begin_active();
+ for (unsigned int i = 0; i < 10 - 3 * dim; ++i)
+ {
+ cell = tria.begin_active();
+ endc = tria.end();
+ unsigned int counter = 0;
+ for (; cell != endc; ++cell, ++counter)
+ if (counter % (7 - i) == 0)
+ cell->set_refine_flag();
+ tria.execute_coarsening_and_refinement();
+ }
+
+ FE_Q<dim> fe(fe_degree);
+ DoFHandler<dim> dof(tria);
+ dof.distribute_dofs(fe);
+ AffineConstraints<double> constraints;
+ DoFTools::make_hanging_node_constraints(dof, constraints);
+ VectorTools::interpolate_boundary_values(dof,
+ 0,
+ Functions::ZeroFunction<dim>(),
+ constraints);
+ constraints.close();
+
+ do_test<dim,
+ fe_degree,
+ double,
+ LinearAlgebra::distributed::Vector<double, MemorySpace::CUDA>,
+ fe_degree + 1>(dof, constraints, tria.n_active_cells(), false);
+}
--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2018 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.
+//
+// ---------------------------------------------------------------------
+
+
+
+// Same test as matrix_free_matrix_vector_10 but using varying coefficient
+
+#include <deal.II/base/function.h>
+#include <deal.II/base/utilities.h>
+
+#include <deal.II/distributed/tria.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_values.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/manifold_lib.h>
+
+#include <deal.II/lac/affine_constraints.h>
+#include <deal.II/lac/trilinos_sparse_matrix.h>
+#include <deal.II/lac/trilinos_sparsity_pattern.h>
+
+#include <deal.II/numerics/vector_tools.h>
+
+#include <iostream>
+
+#include "../tests.h"
+#include "matrix_vector_mf.h"
+
+
+template <int dim>
+double
+VaryingCoefficient(const Point<dim> &p)
+{
+ return 10. / (0.05 + 2. * p.square());
+}
+
+
+template <int dim, int fe_degree>
+void
+test()
+{
+ typedef double Number;
+
+ parallel::distributed::Triangulation<dim> tria(MPI_COMM_WORLD);
+ GridGenerator::hyper_cube(tria);
+ tria.refine_global(1);
+ typename Triangulation<dim>::active_cell_iterator cell = tria.begin_active(),
+ endc = tria.end();
+ for (; cell != endc; ++cell)
+ if (cell->is_locally_owned())
+ if (cell->center().norm() < 0.2)
+ cell->set_refine_flag();
+ tria.execute_coarsening_and_refinement();
+ if (dim < 3 && fe_degree < 2)
+ tria.refine_global(2);
+ else
+ tria.refine_global(1);
+ if (tria.begin(tria.n_levels() - 1)->is_locally_owned())
+ tria.begin(tria.n_levels() - 1)->set_refine_flag();
+ if (tria.last()->is_locally_owned())
+ tria.last()->set_refine_flag();
+ tria.execute_coarsening_and_refinement();
+ cell = tria.begin_active();
+ for (unsigned int i = 0; i < 10 - 3 * dim; ++i)
+ {
+ cell = tria.begin_active();
+ unsigned int counter = 0;
+ for (; cell != endc; ++cell, ++counter)
+ if (cell->is_locally_owned())
+ if (counter % (7 - i) == 0)
+ cell->set_refine_flag();
+ tria.execute_coarsening_and_refinement();
+ }
+
+ FE_Q<dim> fe(fe_degree);
+ DoFHandler<dim> dof(tria);
+ dof.distribute_dofs(fe);
+
+ IndexSet owned_set = dof.locally_owned_dofs();
+ IndexSet relevant_set;
+ DoFTools::extract_locally_relevant_dofs(dof, relevant_set);
+
+ AffineConstraints<double> constraints(relevant_set);
+ DoFTools::make_hanging_node_constraints(dof, constraints);
+ VectorTools::interpolate_boundary_values(dof,
+ 0,
+ Functions::ZeroFunction<dim>(),
+ constraints);
+ constraints.close();
+
+ deallog << "Testing " << dof.get_fe().get_name() << std::endl;
+
+ MappingQGeneric<dim> mapping(fe_degree);
+ CUDAWrappers::MatrixFree<dim, Number> mf_data;
+ const QGauss<1> quad(fe_degree + 1);
+ typename CUDAWrappers::MatrixFree<dim, Number>::AdditionalData
+ additional_data;
+ additional_data.mapping_update_flags = update_values | update_gradients |
+ update_JxW_values |
+ update_quadrature_points;
+ mf_data.reinit(
+ mapping, dof, constraints, quad, MPI_COMM_WORLD, additional_data);
+
+ const unsigned int coef_size =
+ tria.n_locally_owned_active_cells() * std::pow(fe_degree + 1, dim);
+ MatrixFreeTest<dim,
+ fe_degree,
+ Number,
+ LinearAlgebra::distributed::Vector<Number, MemorySpace::CUDA>>
+ mf(mf_data, coef_size, false);
+ LinearAlgebra::distributed::Vector<Number, MemorySpace::CUDA> in_dev(
+ owned_set, MPI_COMM_WORLD);
+ LinearAlgebra::distributed::Vector<Number, MemorySpace::CUDA> out_dev(
+ owned_set, MPI_COMM_WORLD);
+
+ LinearAlgebra::ReadWriteVector<Number> rw_in(owned_set);
+ for (unsigned int i = 0; i < in_dev.local_size(); ++i)
+ {
+ const unsigned int glob_index = owned_set.nth_index_in_set(i);
+ if (constraints.is_constrained(glob_index))
+ continue;
+ rw_in.local_element(i) = random_value<double>();
+ }
+ in_dev.import(rw_in, VectorOperation::insert);
+ mf.vmult(out_dev, in_dev);
+
+ LinearAlgebra::distributed::Vector<Number, MemorySpace::Host> out_host(
+ owned_set, MPI_COMM_WORLD);
+ LinearAlgebra::ReadWriteVector<Number> rw_out(owned_set);
+ rw_out.import(out_dev, VectorOperation::insert);
+ out_host.import(rw_out, VectorOperation::insert);
+
+ // assemble trilinos sparse matrix with
+ // (\nabla v, \nabla u) + (v, coef * u) for
+ // reference
+ LinearAlgebra::distributed::Vector<Number, MemorySpace::Host> in_host(
+ owned_set, MPI_COMM_WORLD);
+ in_host.import(rw_in, VectorOperation::insert);
+ LinearAlgebra::distributed::Vector<Number, MemorySpace::Host> ref(
+ owned_set, MPI_COMM_WORLD);
+ TrilinosWrappers::SparseMatrix sparse_matrix;
+ {
+ TrilinosWrappers::SparsityPattern csp(owned_set, MPI_COMM_WORLD);
+ DoFTools::make_sparsity_pattern(dof,
+ csp,
+ constraints,
+ true,
+ Utilities::MPI::this_mpi_process(
+ MPI_COMM_WORLD));
+ csp.compress();
+ sparse_matrix.reinit(csp);
+ }
+ {
+ QGauss<dim> quadrature_formula(fe_degree + 1);
+
+ FEValues<dim> fe_values(dof.get_fe(),
+ quadrature_formula,
+ update_values | update_gradients |
+ update_quadrature_points | 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)
+ if (cell->is_locally_owned())
+ {
+ cell_matrix = 0;
+ fe_values.reinit(cell);
+
+ for (unsigned int q_point = 0; q_point < n_q_points; ++q_point)
+ {
+ const auto coef =
+ VaryingCoefficient<dim>(fe_values.quadrature_point(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) +
+ coef * 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);
+ }
+ }
+ sparse_matrix.compress(VectorOperation::add);
+
+ sparse_matrix.vmult(ref, in_host);
+ out_host -= ref;
+
+ const double diff_norm = out_host.linfty_norm();
+
+ deallog << "Norm of difference: " << diff_norm << std::endl << std::endl;
+}
+
+
+int
+main(int argc, char **argv)
+{
+ Utilities::MPI::MPI_InitFinalize mpi_initialization(
+ argc, argv, testing_max_num_threads());
+
+ unsigned int myid = Utilities::MPI::this_mpi_process(MPI_COMM_WORLD);
+ deallog.push(Utilities::int_to_string(myid));
+
+ init_cuda(true);
+
+ if (myid == 0)
+ {
+ initlog();
+ deallog << std::setprecision(4);
+
+ deallog.push("2d");
+ test<2, 1>();
+ deallog.pop();
+
+ deallog.push("3d");
+ test<3, 1>();
+ test<3, 2>();
+ deallog.pop();
+ }
+ else
+ {
+ test<2, 1>();
+ test<3, 1>();
+ test<3, 2>();
+ }
+}