From ea58a2e164d2a49ac31ba73384cfd66abaecab4c Mon Sep 17 00:00:00 2001 From: Rene Gassmoeller Date: Mon, 22 Nov 2021 11:18:03 -0500 Subject: [PATCH] Allow reusing mapping data in FEPointEvaluation --- .../deal.II/matrix_free/fe_point_evaluation.h | 96 +++++- tests/matrix_free/point_evaluation_15.cc | 163 ++++++++++ tests/matrix_free/point_evaluation_15.output | 195 ++++++++++++ tests/matrix_free/point_evaluation_16.cc | 163 ++++++++++ tests/matrix_free/point_evaluation_16.output | 292 ++++++++++++++++++ 5 files changed, 904 insertions(+), 5 deletions(-) create mode 100644 tests/matrix_free/point_evaluation_15.cc create mode 100644 tests/matrix_free/point_evaluation_15.output create mode 100644 tests/matrix_free/point_evaluation_16.cc create mode 100644 tests/matrix_free/point_evaluation_16.output diff --git a/include/deal.II/matrix_free/fe_point_evaluation.h b/include/deal.II/matrix_free/fe_point_evaluation.h index 32aadd9e0a..0ab23f57f8 100644 --- a/include/deal.II/matrix_free/fe_point_evaluation.h +++ b/include/deal.II/matrix_free/fe_point_evaluation.h @@ -388,7 +388,8 @@ namespace internal * realizations, however, there is a much more efficient implementation that * avoids the memory allocation and other expensive start-up cost of * FEValues. Currently, the functionality is specialized for mappings derived - * from MappingQ and for finite elements with tensor product structure + * from MappingQ and MappingCartesian and for finite elements with tensor + * product structure * that work with the @ref matrixfree module. In those cases, the cost implied * by this class is similar (or sometimes even somewhat lower) than using * `FEValues::reinit(cell)` followed by `FEValues::get_function_gradients`. @@ -430,7 +431,7 @@ public: /** * Set up the mapping information for the given cell, e.g., by computing the - * Jacobian of the mapping the given points if gradients of the functions + * Jacobian of the mapping for the given points if gradients of the functions * are requested. * * @param[in] cell An iterator to the current cell @@ -443,6 +444,42 @@ public: reinit(const typename Triangulation::cell_iterator &cell, const ArrayView> &unit_points); + /** + * Set up the mapping information for the given cell. This function is + * an alternative to the function with the same name above and uses + * a precomputed @p mapping_data object. This function can be used + * to avoid duplicated evaluation of the mapping if multiple + * FEPointEvaluation objects for the different components of the same FESystem + * are used. You can retrieve the mapping data from a FEPointEvaluation object + * using the get_mapping_data() function. + * + * @param[in] cell An iterator to the current cell + * + * @param[in] unit_points List of points in the reference locations of the + * current cell where the FiniteElement object should be + * evaluated/integrated in the evaluate() and integrate() functions. + * + * @param[in] mapping_data A mapping data object that is precomputed + * for the given cell and positions. + */ + void + reinit(const typename Triangulation::cell_iterator &cell, + const ArrayView> &unit_points, + const dealii::internal::FEValuesImplementation:: + MappingRelatedData &mapping_data); + + /** + * Returns the mapping data that was computed during the last call to + * the reinit() function. This can be useful if multiple FEPointEvaluation + * objects are used for multiple components of a FESystem. The mapping data + * can be retrieved from the first FEPointEvaluation object and subsequently + * passed to the other objects, avoiding the need to recompute the mapping + * data. + */ + const dealii::internal::FEValuesImplementation::MappingRelatedData & + get_mapping_data() const; + /** * This function interpolates the finite element solution, represented by * `solution_values`, on the cell and `unit_points` passed to reinit(). @@ -817,14 +854,54 @@ FEPointEvaluation::reinit( const typename Triangulation::cell_iterator &cell, const ArrayView> & unit_points) { - this->unit_points.resize(unit_points.size()); - std::copy(unit_points.begin(), unit_points.end(), this->unit_points.begin()); - + // If using the fast path, we need to precompute the mapping data. if (!poly.empty()) fill_mapping_data_for_generic_points(cell, unit_points, update_flags_mapping, mapping_data); + + // then call the other version of this function with the precomputed data + reinit(cell, unit_points, mapping_data); +} + + + +template +void +FEPointEvaluation::reinit( + const typename Triangulation::cell_iterator &cell, + const ArrayView> & unit_points, + const dealii::internal::FEValuesImplementation::MappingRelatedData + &precomputed_mapping_data) +{ + this->unit_points.resize(unit_points.size()); + std::copy(unit_points.begin(), unit_points.end(), this->unit_points.begin()); + + if (!poly.empty()) + { + // Check the mapping data for consistency. + if (update_flags_mapping & update_jacobians) + Assert(precomputed_mapping_data.jacobians.size() == unit_points.size(), + ExcDimensionMismatch(precomputed_mapping_data.jacobians.size(), + unit_points.size())); + if (update_flags_mapping & update_inverse_jacobians) + Assert(precomputed_mapping_data.inverse_jacobians.size() == + unit_points.size(), + ExcDimensionMismatch( + precomputed_mapping_data.inverse_jacobians.size(), + unit_points.size())); + + if (update_flags_mapping & update_quadrature_points) + Assert(precomputed_mapping_data.inverse_jacobians.size() == + unit_points.size(), + ExcDimensionMismatch( + precomputed_mapping_data.quadrature_points.size(), + unit_points.size())); + + mapping_data = precomputed_mapping_data; + } else { fe_values = std::make_shared>( @@ -854,6 +931,15 @@ FEPointEvaluation::reinit( } +template +const dealii::internal::FEValuesImplementation::MappingRelatedData & +FEPointEvaluation::get_mapping_data() const +{ + return mapping_data; +} + + template void diff --git a/tests/matrix_free/point_evaluation_15.cc b/tests/matrix_free/point_evaluation_15.cc new file mode 100644 index 0000000000..8383e3870e --- /dev/null +++ b/tests/matrix_free/point_evaluation_15.cc @@ -0,0 +1,163 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2021 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. +// +// --------------------------------------------------------------------- + + +// Check FEPointEvaluation::reinit with precomputed mapping +// information for a vector valued FE and MappingCartesian. +// This is a modified version of point_evaluation_13.cc. + +#include + +#include + +#include +#include +#include + +#include +#include + +#include + +#include + +#include + +#include + +#include "../tests.h" + + + +template +class MyFunction : public Function +{ +public: + MyFunction() + : Function(dim) + {} + + double + value(const Point &p, const unsigned int component) const override + { + return component + p[component]; + } +}; + + + +template +void +test() +{ + using namespace dealii; + Triangulation tria; + + GridGenerator::subdivided_hyper_cube(tria, 2, 0, 1); + + MappingCartesian mapping; + deallog << "Cartesian linear mapping" << std::endl; + + std::vector> unit_points; + for (unsigned int i = 0; i < 13; ++i) + { + Point p; + for (unsigned int d = 0; d < dim; ++d) + p[d] = static_cast(i) / 17. + 0.015625 * d; + unit_points.push_back(p); + } + + FESystem fe(FE_Q(2), dim); + DoFHandler dof_handler(tria); + dof_handler.distribute_dofs(fe); + Vector vector(dof_handler.n_dofs()); + + // Use the first evaluator to compute the values of the function + FEPointEvaluation evaluator1(mapping, + fe, + update_values | update_gradients); + + // The second evaluator will use the precomputed mapping information + // from evaluator1 to compute the values of the function + FEPointEvaluation evaluator2(mapping, + fe, + update_values | update_gradients); + + VectorTools::interpolate(mapping, dof_handler, MyFunction(), vector); + + std::vector solution_values(fe.dofs_per_cell); + std::vector solution_values2(fe.dofs_per_cell); + + FEValuesExtractors::Vector extractor(0); + + for (const auto &cell : dof_handler.active_cell_iterators()) + { + cell->get_dof_values(vector, + solution_values.begin(), + solution_values.end()); + + evaluator1.reinit(cell, unit_points); + evaluator1.evaluate(solution_values, + EvaluationFlags::values | EvaluationFlags::gradients); + + const auto &mapping_data = evaluator1.get_mapping_data(); + evaluator2.reinit(cell, unit_points, mapping_data); + evaluator2.evaluate(solution_values, + EvaluationFlags::values | EvaluationFlags::gradients); + + deallog << "Cell with center " << cell->center(true) << std::endl; + for (unsigned int i = 0; i < unit_points.size(); ++i) + deallog + << mapping.transform_unit_to_real_cell(cell, unit_points[i]) << ": " + << evaluator1.get_value(i) << " error value " + << (evaluator1.get_value(i) - evaluator2.get_value(i)).norm() + << " error grad " + << (evaluator1.get_gradient(i) - evaluator2.get_gradient(i)).norm() + << std::endl; + deallog << std::endl; + + for (unsigned int i = 0; i < unit_points.size(); ++i) + { + evaluator1.submit_value(evaluator1.get_value(i), i); + evaluator1.submit_gradient(evaluator1.get_gradient(i), i); + + evaluator2.submit_value(evaluator2.get_value(i), i); + evaluator2.submit_gradient(evaluator2.get_gradient(i), i); + } + + evaluator1.integrate(solution_values, + EvaluationFlags::values | + EvaluationFlags::gradients); + evaluator2.integrate(solution_values2, + EvaluationFlags::values | + EvaluationFlags::gradients); + + for (unsigned int i = 0; i < solution_values.size(); ++i) + deallog << solution_values[i] - solution_values2[i] << " "; + deallog << std::endl; + } +} + + + +int +main() +{ + initlog(); + deallog << std::setprecision(10); + + test<2>(); + test<3>(); +} diff --git a/tests/matrix_free/point_evaluation_15.output b/tests/matrix_free/point_evaluation_15.output new file mode 100644 index 0000000000..0a2facb0c2 --- 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a/tests/matrix_free/point_evaluation_16.cc b/tests/matrix_free/point_evaluation_16.cc new file mode 100644 index 0000000000..a7d8891b4f --- /dev/null +++ b/tests/matrix_free/point_evaluation_16.cc @@ -0,0 +1,163 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2021 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. +// +// --------------------------------------------------------------------- + + +// Check FEPointEvaluation::reinit with precomputed mapping +// information for a vector valued FE and MappingQ. +// This is a modified version of point_evaluation_03.cc. + + +#include + +#include + +#include +#include +#include + +#include +#include + +#include + +#include + +#include + +#include + +#include "../tests.h" + + + +template +class MyFunction : public Function +{ +public: + MyFunction() + : Function(dim) + {} + + double + value(const Point &p, const unsigned int component) const override + { + return component + p[component]; + } +}; + + + +template +void +test(const unsigned int degree) +{ + using namespace dealii; + Triangulation tria; + + if (dim > 1) + GridGenerator::hyper_shell(tria, Point(), 0.5, 1, 6); + else + GridGenerator::subdivided_hyper_cube(tria, 2, 0, 1); + + MappingQ mapping(degree); + deallog << "Mapping of degree " << degree << std::endl; + + std::vector> unit_points; + for (unsigned int i = 0; i < 13; ++i) + { + Point p; + for (unsigned int d = 0; d < dim; ++d) + p[d] = static_cast(i) / 17. + 0.015625 * d; + unit_points.push_back(p); + } + + FESystem fe(FE_Q(degree), dim); + DoFHandler dof_handler(tria); + dof_handler.distribute_dofs(fe); + Vector vector(dof_handler.n_dofs()); + + FEPointEvaluation evaluator(mapping, + fe, + update_values | update_gradients); + FEPointEvaluation evaluator2(mapping, + fe, + update_values | update_gradients); + + VectorTools::interpolate(mapping, dof_handler, MyFunction(), vector); + + std::vector solution_values(fe.dofs_per_cell); + std::vector solution_values2(fe.dofs_per_cell); + + FEValuesExtractors::Vector extractor(0); + + for (const auto &cell : dof_handler.active_cell_iterators()) + { + cell->get_dof_values(vector, + solution_values.begin(), + solution_values.end()); + + evaluator.reinit(cell, unit_points); + evaluator.evaluate(solution_values, + EvaluationFlags::values | EvaluationFlags::gradients); + + const auto &mapping_data = evaluator.get_mapping_data(); + evaluator2.reinit(cell, unit_points, mapping_data); + evaluator2.evaluate(solution_values, + EvaluationFlags::values | EvaluationFlags::gradients); + + deallog << "Cell with center " << cell->center(true) << std::endl; + for (unsigned int i = 0; i < unit_points.size(); ++i) + deallog + << mapping.transform_unit_to_real_cell(cell, unit_points[i]) << ": " + << evaluator.get_value(i) << " error value " + << (evaluator.get_value(i) - evaluator2.get_value(i)).norm() + << " error grad " + << (evaluator.get_gradient(i) - evaluator2.get_gradient(i)).norm() + << std::endl; + deallog << std::endl; + + for (unsigned int i = 0; i < unit_points.size(); ++i) + { + evaluator.submit_value(evaluator.get_value(i), i); + evaluator.submit_gradient(evaluator.get_gradient(i), i); + + evaluator2.submit_value(evaluator2.get_value(i), i); + evaluator2.submit_gradient(evaluator2.get_gradient(i), i); + } + + evaluator.integrate(solution_values, + EvaluationFlags::values | EvaluationFlags::gradients); + evaluator2.integrate(solution_values2, + EvaluationFlags::values | + EvaluationFlags::gradients); + + for (unsigned int i = 0; i < solution_values.size(); ++i) + deallog << solution_values[i] - solution_values2[i] << " "; + deallog << std::endl; + } +} + + + +int +main() +{ + initlog(); + deallog << std::setprecision(10); + + test<2>(2); + test<2>(6); + test<3>(5); +} diff --git a/tests/matrix_free/point_evaluation_16.output b/tests/matrix_free/point_evaluation_16.output new file mode 100644 index 0000000000..7bfabac180 --- /dev/null +++ b/tests/matrix_free/point_evaluation_16.output @@ -0,0 +1,292 @@ + +DEAL::Mapping of degree 2 +DEAL::Cell with center 0.6495190528 0.3750000000 +DEAL::0.9921875000 0.000000000: 0.9921875000 1.000000000 error value 0.000000000 error grad 0.000000000 +DEAL::0.9591965610 0.06332871922: 0.9591965610 1.063328719 error value 0.000000000 error grad 0.000000000 +DEAL::0.9234265460 0.1210574346: 0.9234265460 1.121057435 error value 0.000000000 error grad 0.000000000 +DEAL::0.8851608469 0.1733497625: 0.8851608469 1.173349762 error value 0.000000000 error grad 0.000000000 +DEAL::0.8446828558 0.2203693193: 0.8446828558 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