From 3dff92a78722b1471a0e508cb0c8af4dba27f70a Mon Sep 17 00:00:00 2001 From: Peter Munch Date: Tue, 19 Jan 2021 10:23:23 +0100 Subject: [PATCH] Enable VtkFlags::write_higher_order_cells for triangles --- .../numerics/data_out_dof_data.templates.h | 125 +- source/base/data_out_base.cc | 77 +- tests/simplex/data_out_write_vtk_01.cc | 72 +- ...rite_vtk_01.with_simplex_support=on.output | 3536 +++++++++++------ tests/simplex/data_out_write_vtk_02.cc | 164 + ...rite_vtk_02.with_simplex_support=on.output | 1571 ++++++++ 6 files changed, 4278 insertions(+), 1267 deletions(-) create mode 100644 tests/simplex/data_out_write_vtk_02.cc create mode 100644 tests/simplex/data_out_write_vtk_02.with_simplex_support=on.output diff --git a/include/deal.II/numerics/data_out_dof_data.templates.h b/include/deal.II/numerics/data_out_dof_data.templates.h index 9e56b71f62..e666c5d751 100644 --- a/include/deal.II/numerics/data_out_dof_data.templates.h +++ b/include/deal.II/numerics/data_out_dof_data.templates.h @@ -83,6 +83,121 @@ namespace internal + /** + * Generate evalution points on a simplex with arbitrary number of + * subdivisions. + */ + template + inline std::vector> + generate_simplex_evaluation_points(const unsigned int n_subdivisions) + { + (void)n_subdivisions; + + Assert(false, ExcNotImplemented()); + + return {}; + } + + + + /** + * Helper function to create evaluation points recursively with + * subdivisions=0,1,2 being the base case: + * + + * |\ + * + +-+ + * |\ |\|\ + * + +-+ +-+-+ + * |\ |\|\ |\|\|\ + * + +-+ +-+-+ +-+-+-+ + * |\ |\|\ |\|\|\ |\|\|\|\ + * + +-+ +-+-+ +-+-+-+ +-+-+-+-+ + * + * 0 1 2 3 4 + * ^ ^ | | + * | | | | + * +--------------------------+ | + * | | + * +--------------------------------+ + */ + inline void + generate_simplex_evaluation_points_recursively( + const std::vector> &bounding_vertices, + const unsigned int n_subdivisions, + std::vector> & evaluation_points) + { + if (n_subdivisions == 0) + { + evaluation_points.push_back(bounding_vertices[0]); + return; + } + + for (const auto &p : bounding_vertices) + evaluation_points.push_back(p); + + if (n_subdivisions == 1) + return; + + // Helper functions to create intermediate points between p0 and p1 with + // n_subdivisions. This function appends these new points to the vector + // evaluation_points but also returns the points as a vector to be able + // to easily access specific points on the line. + const auto generate_inbetween_points = [&](const Point<2> &p0, + const Point<2> &p1) { + std::vector> line_points; + + for (unsigned int i = 1; i < n_subdivisions; ++i) + line_points.push_back(p0 + (p1 - p0) / n_subdivisions * i); + + evaluation_points.insert(evaluation_points.end(), + line_points.begin(), + line_points.end()); + + return line_points; + }; + + const auto line_points_0 = + generate_inbetween_points(bounding_vertices[0], bounding_vertices[1]); + const auto line_points_1 = + generate_inbetween_points(bounding_vertices[1], bounding_vertices[2]); + const auto line_points_2 = + generate_inbetween_points(bounding_vertices[2], bounding_vertices[0]); + + if (n_subdivisions == 2) + return; + + generate_simplex_evaluation_points_recursively( + // create new inner triangle (see ASCII art above) + {{Point<2>(line_points_0[line_points_0.size() - 2][0], + line_points_1[0][1]), + Point<2>(line_points_0[0][0], + line_points_1[line_points_1.size() - 2][1]), + Point<2>(line_points_0[0][0], line_points_1[0][1])}}, + n_subdivisions - 3, + evaluation_points); + } + + + + /** + * Specialization for triangles. + */ + template <> + inline std::vector> + generate_simplex_evaluation_points(const unsigned int n_subdivisions) + { + std::vector> evalution_points; + + generate_simplex_evaluation_points_recursively( + {{Point<2>(0.0, 0.0), Point<2>(1.0, 0.0), Point<2>(0.0, 1.0)}}, + n_subdivisions, + evalution_points); + + return evalution_points; + } + + + /** * Set up vectors of FEValues and FEFaceValues needed inside of * ParallelDataBase and return the maximum number of quadrature points @@ -140,9 +255,13 @@ namespace internal if (needs_simplex_setup) { - quadrature_simplex = std::make_unique>( - Simplex::FE_P(n_subdivisions) - .get_unit_support_points()); + if (dim == 2) + quadrature_simplex = std::make_unique>( + generate_simplex_evaluation_points(n_subdivisions)); + else + quadrature_simplex = std::make_unique>( + Simplex::FE_P(n_subdivisions) + .get_unit_support_points()); } if (needs_hypercube_setup) diff --git a/source/base/data_out_base.cc b/source/base/data_out_base.cc index 66d97d7f2e..0c129c5985 100644 --- a/source/base/data_out_base.cc +++ b/source/base/data_out_base.cc @@ -627,6 +627,11 @@ namespace vtk_cell_id[0] = cell_type_by_dim[dim]; vtk_cell_id[1] = 1; } + else if (patch.reference_cell_type == ReferenceCell::Type::Tri) + { + vtk_cell_id[0] = VTK_LAGRANGE_TRIANGLE; + vtk_cell_id[1] = 1; + } else { Assert(false, ExcNotImplemented()); @@ -2730,36 +2735,54 @@ namespace DataOutBase for (const auto &patch : patches) { - const unsigned int n_subdivisions = patch.n_subdivisions; - const unsigned int n = n_subdivisions + 1; + if (patch.reference_cell_type != + ReferenceCell::Type::get_hypercube()) + { + connectivity.resize(patch.data.n_cols()); - cell_order.fill(n_subdivisions); - connectivity.resize(Utilities::fixed_power(n)); - - // Length of loops in all dimensons - const unsigned int n1 = (dim > 0) ? n_subdivisions : 0; - const unsigned int n2 = (dim > 1) ? n_subdivisions : 0; - const unsigned int n3 = (dim > 2) ? n_subdivisions : 0; - // Offsets of outer loops - const unsigned int d1 = 1; - const unsigned int d2 = n; - const unsigned int d3 = n * n; - for (unsigned int i3 = 0; i3 <= n3; ++i3) - for (unsigned int i2 = 0; i2 <= n2; ++i2) - for (unsigned int i1 = 0; i1 <= n1; ++i1) - { - const unsigned int local_index = i3 * d3 + i2 * d2 + i1 * d1; - const unsigned int connectivity_index = - vtk_point_index_from_ijk(i1, i2, i3, cell_order); - connectivity[connectivity_index] = local_index; - } + for (unsigned int i = 0; i < patch.data.n_cols(); ++i) + connectivity[i] = i; - out.template write_high_order_cell(count++, - first_vertex_of_patch, - connectivity); + out.template write_high_order_cell(count++, + first_vertex_of_patch, + connectivity); - // finally update the number of the first vertex of this patch - first_vertex_of_patch += Utilities::fixed_power(n); + first_vertex_of_patch += patch.data.n_cols(); + } + else + { + const unsigned int n_subdivisions = patch.n_subdivisions; + const unsigned int n = n_subdivisions + 1; + + cell_order.fill(n_subdivisions); + connectivity.resize(Utilities::fixed_power(n)); + + // Length of loops in all dimensons + const unsigned int n1 = (dim > 0) ? n_subdivisions : 0; + const unsigned int n2 = (dim > 1) ? n_subdivisions : 0; + const unsigned int n3 = (dim > 2) ? n_subdivisions : 0; + // Offsets of outer loops + const unsigned int d1 = 1; + const unsigned int d2 = n; + const unsigned int d3 = n * n; + for (unsigned int i3 = 0; i3 <= n3; ++i3) + for (unsigned int i2 = 0; i2 <= n2; ++i2) + for (unsigned int i1 = 0; i1 <= n1; ++i1) + { + const unsigned int local_index = + i3 * d3 + i2 * d2 + i1 * d1; + const unsigned int connectivity_index = + vtk_point_index_from_ijk(i1, i2, i3, cell_order); + connectivity[connectivity_index] = local_index; + } + + out.template write_high_order_cell(count++, + first_vertex_of_patch, + connectivity); + + // finally update the number of the first vertex of this patch + first_vertex_of_patch += Utilities::fixed_power(n); + } } out.flush_cells(); diff --git a/tests/simplex/data_out_write_vtk_01.cc b/tests/simplex/data_out_write_vtk_01.cc index 1e81b95402..0886b0fc42 100644 --- a/tests/simplex/data_out_write_vtk_01.cc +++ b/tests/simplex/data_out_write_vtk_01.cc @@ -54,7 +54,9 @@ public: template void -test(const FiniteElement &fe, const unsigned int n_components) +test(const FiniteElement &fe, + const unsigned int n_components, + const bool do_high_order) { Triangulation tria; GridGenerator::subdivided_hyper_cube_with_simplices(tria, dim == 2 ? 4 : 2); @@ -79,9 +81,15 @@ test(const FiniteElement &fe, const unsigned int n_components) static unsigned int counter = 0; - for (unsigned int n_subdivisions = 1; n_subdivisions <= 2; ++n_subdivisions) + for (unsigned int n_subdivisions = 1; + n_subdivisions <= (do_high_order ? 3 : 2); + ++n_subdivisions) { + DataOutBase::VtkFlags flags; + flags.write_higher_order_cells = do_high_order; + DataOut data_out; + data_out.set_flags(flags); data_out.attach_dof_handler(dof_handler); data_out.add_data_vector(solution, "solution"); @@ -90,8 +98,9 @@ test(const FiniteElement &fe, const unsigned int n_components) data_out.build_patches(mapping, n_subdivisions); #if false - std::ofstream output("test." + std::to_string(dim) + "." + std::to_string(counter++) + ".vtk"); - data_out.write_vtk(output); + std::ofstream output("test." + std::to_string(dim) + "." + + std::to_string(counter++) + ".vtk"); + data_out.write_vtk(output); #else data_out.write_vtk(deallog.get_file_stream()); #endif @@ -103,24 +112,39 @@ main() { initlog(); - { - const unsigned int dim = 2; - test(Simplex::FE_P(2) /*=degree*/, 1); - test(FESystem(Simplex::FE_P(2 /*=degree*/), dim), dim); - test(FESystem(Simplex::FE_P(2 /*=degree*/), - dim, - Simplex::FE_P(1 /*=degree*/), - 1), - dim + 1); - } - { - const unsigned int dim = 3; - test(Simplex::FE_P(2) /*=degree*/, 1); - test(FESystem(Simplex::FE_P(2 /*=degree*/), dim), dim); - test(FESystem(Simplex::FE_P(2 /*=degree*/), - dim, - Simplex::FE_P(1 /*=degree*/), - 1), - dim + 1); - } + for (unsigned int i = 0; i < 2; ++i) + { + const bool do_high_order = (i == 1); + + if (do_high_order) + { + const unsigned int dim = 2; + test(Simplex::FE_P(2) /*=degree*/, 1, do_high_order); + test(FESystem(Simplex::FE_P(2 /*=degree*/), dim), + dim, + do_high_order); + test(FESystem(Simplex::FE_P(2 /*=degree*/), + dim, + Simplex::FE_P(1 /*=degree*/), + 1), + dim + 1, + do_high_order); + } + + if (do_high_order == + false /*TODO: higher-order output not working for 3D*/) + { + const unsigned int dim = 3; + test(Simplex::FE_P(2) /*=degree*/, 1, do_high_order); + test(FESystem(Simplex::FE_P(2 /*=degree*/), dim), + dim, + do_high_order); + test(FESystem(Simplex::FE_P(2 /*=degree*/), + dim, + Simplex::FE_P(1 /*=degree*/), + 1), + dim + 1, + do_high_order); + } + } } diff --git a/tests/simplex/data_out_write_vtk_01.with_simplex_support=on.output b/tests/simplex/data_out_write_vtk_01.with_simplex_support=on.output index 019eb34953..40bff84ef9 100644 --- a/tests/simplex/data_out_write_vtk_01.with_simplex_support=on.output +++ b/tests/simplex/data_out_write_vtk_01.with_simplex_support=on.output @@ -4,1170 +4,6 @@ ASCII DATASET UNSTRUCTURED_GRID -POINTS 96 double -0.00000 0.00000 0 -0.250000 0.00000 0 -0.00000 0.250000 0 -0.250000 0.250000 0 -0.00000 0.250000 0 -0.250000 0.00000 0 -0.250000 0.00000 0 -0.500000 0.00000 0 -0.250000 0.250000 0 -0.500000 0.250000 0 -0.250000 0.250000 0 -0.500000 0.00000 0 -0.500000 0.00000 0 -0.750000 0.00000 0 -0.500000 0.250000 0 -0.750000 0.250000 0 -0.500000 0.250000 0 -0.750000 0.00000 0 -0.750000 0.00000 0 -1.00000 0.00000 0 -0.750000 0.250000 0 -1.00000 0.250000 0 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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. +// +// --------------------------------------------------------------------- + + + +// Test DataOut::write_vtk() for simplex meshes. + +#include + +#include +#include +#include + +#include +#include +#include + +#include +#include + +#include +#include +#include + +#include "../tests.h" + +#include "./simplex_grids.h" + +using namespace dealii; + +template +class RightHandSideFunction : public Function +{ +public: + RightHandSideFunction(const unsigned int n_components) + : Function(n_components) + {} + + virtual double + value(const Point &p, const unsigned int component = 0) const + { + return p[component % dim] * p[component % dim]; + } +}; + +template +void +test(const FiniteElement &fe_0, + const FiniteElement &fe_1, + const unsigned int n_components, + const bool do_high_order) +{ + const unsigned int degree = fe_0.tensor_degree(); + + hp::FECollection fe(fe_0, fe_1); + + hp::QCollection quadrature(Simplex::QGauss(degree + 1), + QGauss(degree + 1)); + + hp::MappingCollection mapping( + MappingFE(Simplex::FE_P(1)), + MappingQGeneric(1)); + + Triangulation tria; + GridGenerator::subdivided_hyper_cube_with_simplices_mix(tria, + dim == 2 ? 4 : 2); + + DoFHandler dof_handler(tria); + + for (const auto &cell : dof_handler.active_cell_iterators()) + { + if (cell->is_locally_owned() == false) + continue; + + if (cell->reference_cell_type() == ReferenceCell::Type::Tri) + cell->set_active_fe_index(0); + else if (cell->reference_cell_type() == ReferenceCell::Type::Quad) + cell->set_active_fe_index(1); + else + Assert(false, ExcNotImplemented()); + } + + dof_handler.distribute_dofs(fe); + + Vector solution(dof_handler.n_dofs()); + + AffineConstraints dummy; + dummy.close(); + + VectorTools::project(mapping, + dof_handler, + dummy, + quadrature, + RightHandSideFunction(n_components), + solution); + + static unsigned int counter = 0; + + for (unsigned int n_subdivisions = 1; + n_subdivisions <= (do_high_order ? 4 : 2); + ++n_subdivisions) + { + DataOutBase::VtkFlags flags; + flags.write_higher_order_cells = do_high_order; + + DataOut data_out; + data_out.set_flags(flags); + + data_out.attach_dof_handler(dof_handler); + data_out.add_data_vector(solution, "solution"); + + + data_out.build_patches(mapping, n_subdivisions); + +#if false + std::ofstream output("test." + std::to_string(dim) + "." + + std::to_string(counter++) + ".vtk"); + data_out.write_vtk(output); +#else + data_out.write_vtk(deallog.get_file_stream()); +#endif + } +} + +int +main() +{ + initlog(); + + for (unsigned int i = 0; i < 2; ++i) + { + const bool do_high_order = (i == 1); + + if (true) + { + const unsigned int dim = 2; + test(Simplex::FE_P(2), FE_Q(2), 1, do_high_order); + + continue; // TODO + + test(FESystem(Simplex::FE_P(2), dim), + FESystem(FE_Q(2), dim), 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