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Add a test for complex-valued tensors.
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// --------------------------------------------------------------------- | ||
// | ||
// Copyright (C) 2017 - 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. | ||
// | ||
// --------------------------------------------------------------------- | ||
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// Like the _05 test, just for tensor-valued quantities. | ||
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#include <deal.II/base/logstream.h> | ||
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#include <deal.II/dofs/dof_accessor.h> | ||
#include <deal.II/dofs/dof_handler.h> | ||
#include <deal.II/dofs/dof_tools.h> | ||
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#include <deal.II/fe/fe_q.h> | ||
#include <deal.II/fe/fe_system.h> | ||
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#include <deal.II/grid/grid_generator.h> | ||
#include <deal.II/grid/tria.h> | ||
#include <deal.II/grid/tria_iterator.h> | ||
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#include <deal.II/lac/block_vector.h> | ||
#include <deal.II/lac/vector.h> | ||
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#include <deal.II/numerics/data_out.h> | ||
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#include <fstream> | ||
#include <iomanip> | ||
#include <string> | ||
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#include "../tests.h" | ||
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template <int dim> | ||
void | ||
check() | ||
{ | ||
Triangulation<dim> tria; | ||
GridGenerator::hyper_cube(tria, 0., 1.); | ||
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// Create a vector-valued finite element | ||
FESystem<dim> fe(FE_Q<dim>(1), dim * dim); | ||
DoFHandler<dim> dof_handler(tria); | ||
dof_handler.distribute_dofs(fe); | ||
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// Pick a special solution function: constant in space, but one | ||
// where the individual tensor components have the form c-c*i | ||
// (counting components from 1, for uniqueness of components). This | ||
// allows us to check that the ordering of components in the output | ||
// file is correct. | ||
// | ||
// For example, in 2d, the ordering of output components should then | ||
// be | ||
// [1 2 3 4] [-1 -2 -3 -4] | ||
// where [...] indicates which components jointly form a tensor. | ||
Vector<std::complex<double>> v(dof_handler.n_dofs()); | ||
for (unsigned int i = 0; i < v.size(); ++i) | ||
v(i) = std::complex<double>(1, -1) * double(i % fe.n_components() + 1); | ||
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DataOut<dim> data_out; | ||
data_out.attach_dof_handler(dof_handler); | ||
data_out.add_data_vector( | ||
v, | ||
std::vector<std::string>(dim * dim, "tensor_field"), | ||
DataOut<dim>::type_dof_data, | ||
std::vector<DataComponentInterpretation::DataComponentInterpretation>( | ||
dim * dim, DataComponentInterpretation::component_is_part_of_tensor)); | ||
data_out.build_patches(); | ||
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data_out.write_gnuplot(deallog.get_file_stream()); | ||
} | ||
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int | ||
main() | ||
{ | ||
initlog(); | ||
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try | ||
{ | ||
check<1>(); | ||
check<2>(); | ||
check<3>(); | ||
} | ||
catch (std::exception &exc) | ||
{ | ||
deallog << std::endl | ||
<< std::endl | ||
<< "----------------------------------------------------" | ||
<< std::endl; | ||
deallog << "Exception on processing: " << std::endl | ||
<< exc.what() << std::endl | ||
<< "Aborting!" << std::endl | ||
<< "----------------------------------------------------" | ||
<< std::endl; | ||
return 1; | ||
} | ||
catch (...) | ||
{ | ||
deallog << std::endl | ||
<< std::endl | ||
<< "----------------------------------------------------" | ||
<< std::endl; | ||
deallog << "Unknown exception!" << std::endl | ||
<< "Aborting!" << std::endl | ||
<< "----------------------------------------------------" | ||
<< std::endl; | ||
return 1; | ||
} | ||
} |
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# This file was generated by the deal.II library. | ||
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# | ||
# For a description of the GNUPLOT format see the GNUPLOT manual. | ||
# | ||
# <x> <tensor_field_re> <tensor_field_im> | ||
0.00000 1.00000 -1.00000 | ||
1.00000 1.00000 -1.00000 | ||
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# This file was generated by the deal.II library. | ||
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# | ||
# For a description of the GNUPLOT format see the GNUPLOT manual. | ||
# | ||
# <x> <y> <tensor_field_re> <tensor_field_re> <tensor_field_re> <tensor_field_re> <tensor_field_im> <tensor_field_im> <tensor_field_im> <tensor_field_im> | ||
0.00000 0.00000 1.00000 2.00000 3.00000 4.00000 -1.00000 -2.00000 -3.00000 -4.00000 | ||
1.00000 0.00000 1.00000 2.00000 3.00000 4.00000 -1.00000 -2.00000 -3.00000 -4.00000 | ||
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0.00000 1.00000 1.00000 2.00000 3.00000 4.00000 -1.00000 -2.00000 -3.00000 -4.00000 | ||
1.00000 1.00000 1.00000 2.00000 3.00000 4.00000 -1.00000 -2.00000 -3.00000 -4.00000 | ||
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# This file was generated by the deal.II library. | ||
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# | ||
# For a description of the GNUPLOT format see the GNUPLOT manual. | ||
# | ||
# <x> <y> <z> <tensor_field_re> <tensor_field_re> <tensor_field_re> <tensor_field_re> <tensor_field_re> <tensor_field_re> <tensor_field_re> <tensor_field_re> <tensor_field_re> <tensor_field_im> <tensor_field_im> <tensor_field_im> <tensor_field_im> <tensor_field_im> <tensor_field_im> <tensor_field_im> <tensor_field_im> <tensor_field_im> | ||
0.00000 0.00000 0.00000 1.00000 2.00000 3.00000 4.00000 5.00000 6.00000 7.00000 8.00000 9.00000 -1.00000 -2.00000 -3.00000 -4.00000 -5.00000 -6.00000 -7.00000 -8.00000 -9.00000 | ||
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