From: bangerth Date: Fri, 5 Dec 2008 22:48:21 +0000 (+0000) Subject: Add the codim_one tests. For some reason, svn doesn't let me merge this directory... X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=b85fb90870e1036cd618a1890eff4311933954a5;p=dealii-svn.git Add the codim_one tests. For some reason, svn doesn't let me merge this directory so I explicitly check it out here and add it; unfortunately, this destroys the history, but that can be gotten from the branch archive. git-svn-id: https://svn.dealii.org/trunk@17868 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/tests/codim_one/10-jul-08-report b/tests/codim_one/10-jul-08-report new file mode 100644 index 0000000000..f757062f3f --- /dev/null +++ b/tests/codim_one/10-jul-08-report @@ -0,0 +1,101 @@ +ADVANCEMENTS INTRODUCED IN THE DEAL.II LIBRARY TO IMPLEMENT BOUNDARY ELEMENT METHOD PROBLEMS + + Up till now the library was capable of handling n-dimensional cells in an n-dimensional space (for instance, in two dimensions a +quadrilateral can be a cell, but not a segment or a piece of a curve). This is a reasonable choice as long as one has to solve FEM problems, +but it makes very complicate, if not impossible, implementing Boundary Element Method (BEM) problems. In brief, formulating a problem in BEM +consists in finding a suitable transformation of the equations used that allows one to express and solve the problem just on the boundary of +the domain and then to extend this boundary solution to the whole domain. One can show, for instance, that the 3d exterior Laplace equation +can be transformed into an integral equation on the boundary surface, solved there and then extended to the rest of the space (by the way, +this method can be used to study the irrotational flow around an obstacle without meshing the entire fluid around it, but just meshing the +surface of the obstacle). So, the great advantage that the BEM offers is the significant reduction of the number of degrees of freedom. On +the other hand, the integral operators used in the boundary equations give rise to full matrices, so one needs to find some proper way to +approximate these operators and obtain diagonal-predominant matrices. + In order to exploit what the library already offered without writing new code, a new template parameter "spacedim" was added +to each class that needed it. As one may expect, the first one was the class Triangulation which was changed into +Triangulation and then all the others listed at the end of this document were modified. With this change, if one wanted to +create an object representing a surface in 3d space one would write: + +Triangulation<2,3> surface; + +The declaration of the new parameter was made in such a way that if one does not specify it, the compiler assumes it has the default value dim +(if one writes Triangulation<2> it is the same as writing Triangulation<2,2>), so that all the existing examples and programs need not be +modified if one wants to use this new version. Notice that a declaration such as A_Class<1,3>, altough being legal, is not usable +because none of the deal.II functions has been implemented for this case (just the <1,2> and <2,3> cases were considered). + What follows is a description of each of the new tests added to the library testsuite in order to show the new functionalities (they can be +found in the tests/codim_one subdirectory). + + +TEST grid_in_out + It shows the way to use GridIn and GridOut classes with meshes written in UCD format that are stored in codim_one/grids. It is not possible +now to create meshes with functions in the library, one has to create them before and then pass them to the library. + +TEST data_out + A basic test showing the functionality of the DataOut class (here vertex numbers are written in a vtk file). + +TEST grid_refinement + It uses the HyperBallBoundary class to show how a hyperspherical mesh can be refined. The class internal function execute_refinement was +specialized for the cases Triangulation<1,2> and Triangulation<2,3>, basically reusing the code written for Triangulation<2> and +Triangulation<3>, respectively. + +TEST mapping_q1 + It calculates the points in real space corresponding to the quadrature points on the reference element. The inverse function, that is +mapping.transform_real_to_unit_cell, has not been written for the moment, because it is not needed. An exception is thrown if this function is +called by any mapping class object. + +TEST surface + This test was used to verify the correct calculation of the surface of a hypersphere and of the normal vector in a point of the cell. In +order to calculate an integral on a line or on a surface, one needs to calculate the jacobian of the transformation from the reference +element to the real one. If dim=spacedim one just needs to compute the modulus of the determinant of the jacobian and consider it as a factor +of the integrating function. On the other hand, if dim is different from spacedim, the jacobian is a rectangular matrix and one should +calculate the Gram determinant of this matrix and then use it as a factor in the integration. In the code added (see the fill_fe_values +function in mapping_q1.cc) a general way to calculate the Gram determinant is not implemented since in the <1,2> case it coincides with the +norm of the jacobian (which in this case is a vector) and in the <2,3> case it is the modulus of the cross product of the two first rows of +the jacobian. The normals can then be easily calculated in both cases. Perhaps a more general way to calculate the Gram determinant would be +more useful in the long run. As can be seen, no modification is needed for the quadrature classes. Notice, however, that only continuous Q +element can be used up to now, even if there is a partial implementation of discontinuous ones which are needed since they are commonly used +in BEM problems (at least constants). + +TESTS interpolation, projection, projection_dgp + Adaptation of the existing function VectorTools::interpolate and VectorTools::project to the newly created classes. No other functions in +VectorTools than interpolate and project have been modified for use with codimension one problems. Discontinous elements (fe_dgp) were +implemented without calling the functions compute_embedding_matrices and compute_projection_matrices in the constructors, so no passage +of information between meshes of different refinement level is possible. + +TEST gradients + This test calculates the directional derivative of a simple function (a polynomial) projected on the finite element space in order to +verify that the covariant matrix is calculated properly. In fact, one needs this matrix to obtain the gradients of the shape functions and +then one uses these gradients in order to calculate the gradient of the projected function. Finally, the scalar product of this latter +gradient with the tangential taken at the midpoint of the cell is made so as to obtain the desired directional derivative (in the <2,3> case +the tangential with z component equal to zero is chosen out of the tangent plane). + Here follow some details about the calculation of the covariant matrix. Since the contravariant matrix is rectangular, as described above, +also the covariant matrix turns out to be rectangular (in fact, it is the left inverse of the contravariant matrix, see the compute_fill +function in mapping_q1.cc). Finally, two specializations for the transform_covariant functions have been added, one for the <1,2> case, the +other for the <2,3> case. + Notice also that DGQ elements have been used, also if in a very basic way. Further testing on these elements is evidently needed. Their +implementation in the codimension 1 case is also partial, since in the class constructor 2 functions, namely compute_embedding_matrices and +compute_projection_matrices, were excluded, apparently without consequences at least in the case of constants. Anyway, no passage +of information between meshes of different refinement level is possible. + +TEST integrate_log + A test for the class QGaussLog that here is used to integrate f(x)*log(x-a) on a given interval (a,b). The weights have been explicitly +inserted in the definition of the class, but a method to calculate them as the one described in Numerical Recipes will be implemented as soon +as possible. It is not easy to find the points and weights for a formula on a general interval (a,b) and the ones given here work for the +integration on the interval (0,1) with the singularity either in 0 or in 1. However, with a simple change of variable one can easily extend +the interval, as explained in the documentation and shown in the test, but the singularity still remains in one of the extrema. If the +singularity is in the middle of the interval, one can always decide to integrate separately the right and the left interval (in fact, it is +possible to revert points and weights if the boolean variable revert in the constructor is set to true, so that one can integrate +f(x)*ln(a-x) ). + + +ALPHABETICAL LIST OF THE MOST IMPORTANT CLASSES THAT HAVE BEEN MODIFIED + +DataOut +DoFHandler +FE_DGP (partial) +FE_DGQ (partial) +FE_Q +FEValues +GridIn +MappingQ1 +Triangulation +VectorTools \ No newline at end of file diff --git a/tests/codim_one/Makefile b/tests/codim_one/Makefile new file mode 100644 index 0000000000..6efeeab122 --- /dev/null +++ b/tests/codim_one/Makefile @@ -0,0 +1,49 @@ +############################################################ +# $Id: Makefile 16047 2008-05-07 16:51:50Z heltai $ +# Copyright (C) 2000, 2001, 2002, 2003, 2005, 2006, 2007, 2008 by the deal.II authors +############################################################ + +############################################################ +# Include general settings for including DEAL libraries +############################################################ + +include ../Makefile.paths +include $D/common/Make.global_options +debug-mode = on + +libraries = $(lib-deal2-1d.g) \ + $(lib-deal2-2d.g) \ + $(lib-deal2-3d.g) \ + $(lib-lac.g) \ + $(lib-base.g) + +default: run-tests + +############################################################ + +tests_x = grid* \ + mapping* \ + interpolation* \ + surface* \ + data_out* \ + projection*\ + integrate_log*\ + gradients*\ + tensor_matrix_conversion*\ + bem*\ + + + +# from above list of regular expressions, generate the real set of +# tests +expand = $(shell echo $(addsuffix .cc,$(1)) \ + | $(PERL) -pi -e 's/\.cc//g;') +tests = $(call expand,$(tests_x)) + + +############################################################ + + +include ../Makefile.rules +include Makefile.depend +include Makefile.tests diff --git a/tests/codim_one/bem.cc b/tests/codim_one/bem.cc new file mode 100644 index 0000000000..327790dc00 --- /dev/null +++ b/tests/codim_one/bem.cc @@ -0,0 +1,740 @@ +//---------------------------- bem.cc --------------------------- +// $Id: testsuite.html 13373 2006-07-13 13:12:08Z kanschat $ +// Version: $Name$ +// +// Copyright (C) 2005, 2008 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- bem.cc --------------------------- + + +// calculation of the solution of laplace equation in the external +// domain the Boundary Element Method (implemented only for 2d +// problems). + +#include "../tests.h" +#include +#include + +// all include files you need here + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +std::ofstream logfile("bem/output"); + +template +class BEM { + +public: + + BEM(); + + void run(); + +private: + + void make_dofs(); + void assemble_system(); + void solve(); + void output_results(); + + void read_grid(std::string filename); + void write_grid(std::string filename); + + + Triangulation tria; + FE_DGQ fe; + DoFHandler dof_handler; + + // finite elements used to smoothen + // the solution (from piecewise + // constant to continuous piecewise + // quadratic) + FE_Q fe_q; + DoFHandler dof_handler_q; + + FullMatrix system_matrix; + + Vector solution, + smooth_solution, + system_rhs, + tangential_derivative, + tangential_velocity, + error; + + Point velocity; + + + +}; + +template +BEM::BEM() + : + fe(0), + dof_handler(tria), + fe_q(1), + dof_handler_q(tria) +{ + velocity[0] = 1.; +} + +template +void +BEM::run() +{ + deallog.attach(logfile); + deallog.depth_console(0); + + ConvergenceTable table; + + if (spacedim == 2) + { + + + read_grid("grids/circle_R10.inp"); + + Point p; + HyperBallBoundary boundary(p,10.); + tria.set_boundary(1, boundary); + + // works up to cycle<9, but for testin purpose, we stop at 4 + for(unsigned int cycle=0; cycle<4; ++cycle) + { + + tria.set_boundary(1, boundary); + tria.refine_global(1); + + double side_length = + tria.begin_active()->vertex(0).norm() // CIRCLE RADIUS + *2*sin( numbers::PI / tria.n_active_cells() ), + global_error = 0.; + + table.add_value("cycle", cycle); + table.add_value("cells", tria.n_active_cells()); + + make_dofs(); + assemble_system(); + solve(); + output_results(); + + tria.set_boundary(1); + + +// std::cout +// << "solution" +// << std::endl; +// for(unsigned int i=0; i +void +BEM::make_dofs() +{ + dof_handler.distribute_dofs(fe); + dof_handler_q.distribute_dofs(fe_q); + + system_matrix.reinit(dof_handler.n_dofs(), dof_handler.n_dofs()); + solution.reinit (dof_handler.n_dofs()); + system_rhs.reinit (dof_handler.n_dofs()); +} + +template +void +BEM::assemble_system() +{ + const QGauss quadrature_formula(2); + const QGaussLog<1> qlog(1); + FEValues + fe_values_i (fe, quadrature_formula, + update_JxW_values | + update_cell_normal_vectors | + update_quadrature_points ), + fe_values_j (fe, quadrature_formula, + update_JxW_values | + update_cell_normal_vectors | + update_quadrature_points ); + + const unsigned int dofs_per_cell = fe.dofs_per_cell; + const unsigned int n_q_points = quadrature_formula.size(); + + // The following two matrices will + // be subtracted to obtain the + // system matrix. + FullMatrix DLP_matrix(dof_handler.n_dofs()); // DLP stands for double layer potential + FullMatrix mass_matrix(dof_handler.n_dofs()); + + FullMatrix cell_mass_matrix (dofs_per_cell, dofs_per_cell); + FullMatrix cell_DLP_matrix (dofs_per_cell, dofs_per_cell); + Vector cell_rhs (dofs_per_cell); + + std::vector< Point > cell_normals_i, cell_normals_j; + + std::vector local_dof_indices_i (dofs_per_cell); + std::vector local_dof_indices_j (dofs_per_cell); + + +// std::cout +// << "no. of cells: "<< tria.n_active_cells()<< std::endl +// << "no. of dofs: "<< dof_handler.n_dofs()<< std::endl +// << "dofs per cell: "<< dofs_per_cell<< std::endl +// << "side length (r=10): "<< 10 * 2*sin(numbers::PI/tria.n_cells())<::active_cell_iterator + cell_i = dof_handler.begin_active(), + cell_j = dof_handler.begin_active(), + endc = dof_handler.end(); + + // cycle on i index + for (; cell_i!=endc; ++cell_i) + { + + fe_values_i.reinit (cell_i); + cell_normals_i = fe_values_i.get_cell_normal_vectors(); + cell_i->get_dof_indices (local_dof_indices_i); + +// if (cell_i->index()%100==0) +// std::cout +// << cell_i->index()<< " || "; +// << cell_i->vertex(0)<< " || " +// << velocity*cell_normals_i[0] << "; " +// << local_dof_indices_i[0] +// << std::endl; + + cell_DLP_matrix = 0.; + cell_mass_matrix = 0.; + + + + + // assembling of the right hand side + Point + a_unit(0.), + b_unit(1.); + Point + A = fe_values_i.get_mapping(). + transform_unit_to_real_cell(cell_i, + a_unit), + B = fe_values_i.get_mapping(). + transform_unit_to_real_cell(cell_i, + b_unit); + + cell_rhs = 0.; + + + // In order to obtain the Gram + // determinant it is used JxW and + // then it is divided by the weight. + // Both the jacobian and the normals + // are constant on the cell, so they + // are taken in the first quadrature + // point. + double constant_factor = + - pow(fe_values_i.JxW (0)/fe_values_i.get_quadrature().weight(0), 2) + / numbers::PI + * velocity*cell_normals_i[0]; + + // These are constant on the cell so + // there is no need to loop on + // quadrature points. Besides, the + // cell_rhs vector element index is + // chosen = 0 because it is actually + // a 1x1 matrix. There should be a + // loop over cell dofs, but this is + // necessary just for higher degree + // elements. + cell_rhs(0) += + constant_factor + *( + log( A.distance(B) ) + 8.*qlog.weight(0) + ); + // A Gauss integration is performed to compute the + // integrals on K_i X K_j in the case when i!=j. + // cycle on j index + for (cell_j=dof_handler.begin_active(); cell_j!=endc; ++cell_j) + { + fe_values_j.reinit (cell_j); + cell_normals_j = fe_values_j.get_cell_normal_vectors(); + cell_j->get_dof_indices (local_dof_indices_j); + + if (cell_j != cell_i) + { + // The mass matrix has only diagonal + // elements. + mass_matrix(cell_i->index(), cell_j->index())= 0.; + + // with constant elements there is + // only 1 dof per cell, so there is + // no real cycle over cell dofs + for (unsigned int a=0; aindex()==0) && (cell_j->index()==5) ) +// std::cout +// << "("<< cell_i->index()<<","<index()<<"; " +// <index()<< " -- " +// << cell_rhs(i); + } + for (unsigned int a=0; aindex(), cell_i->index()) + += + fe_values_i.JxW(q_point_i); + + // The double layer potential matrix + // has no diagonal terms since the + // scalar product between the cell + // normal and the difference + // x-y<\tt> is always zero. This + // is because, if x<\tt> and + // y<\tt> are on the same + // element and the element is a + // straight segment, their + // difference is always orthogonal + // to the cell normal. + DLP_matrix(cell_i->index(), cell_i->index()) = 0.; + } + + cell_DLP_matrix = 0.; + +// std::cout +// << cell_DLP_matrix(0,0)<< " - "; + + } + +// std::cout +// << cell_rhs(0)< table_indices(dof_handler.n_dofs(), dof_handler.n_dofs()); + + system_matrix.add( + 1, mass_matrix, + -1, DLP_matrix + ); + +// std::cout +// << "rhs"<< std::endl; +// for (unsigned int i=0; i +void +BEM::solve() +{ + + SolverControl solver_control(1000, 1e-12); + SolverCG<> cg(solver_control); + + cg.solve( system_matrix, + solution, + system_rhs, + PreconditionIdentity() ); + + // Smoothen the piecewise constant + // solution to a continuous piecewise + // quadratic function. + smooth_solution.reinit(dof_handler_q.n_dofs()); + + FETools::interpolate( dof_handler, + solution, + dof_handler_q, + smooth_solution); + + // Calculate the tangential derivative + // of the smoothened potential, that + // is the tangential component of the + // perturbation induced in the + // velocity. + tangential_derivative.reinit(dof_handler_q.n_dofs()); + tangential_velocity.reinit(dof_handler_q.n_dofs()); + error.reinit(dof_handler_q.n_dofs()); + QMidpoint q_midpoint; + QTrapez q_trapez; + const QIterated q_iterated(q_midpoint, 1); + + FEValues fe_values_q(fe_q, + q_iterated, + update_values | + update_gradients | + update_cell_normal_vectors ); + + std::vector< Point > cell_normals(q_iterated.n_quadrature_points); + std::vector< Point > cell_tangentials(q_iterated.n_quadrature_points); + std::vector local_dof_indices (fe_q.dofs_per_cell); + + typename DoFHandler::active_cell_iterator + cell = dof_handler_q.begin_active(), + endc = dof_handler_q.end(); + for (; cell!=endc; ++cell) + { + fe_values_q.reinit(cell); + cell->get_dof_indices (local_dof_indices); + +//QUADRATIC INTERPOLATION OF THE POTENTIAL +// std::cout +// << "indices - "; +// for(unsigned int i=0; i > gradient(q_iterated.n_quadrature_points); + for(unsigned int pnt=0; pntindex() +// << std::endl; + + + for(unsigned int pnt=0; pntindex())= + contract( + gradient[pnt], + cell_tangentials[pnt] + ) + + + contract(velocity, + cell_tangentials[0] + ); + error(cell->index())= + tangential_derivative(cell->index()) + - + 2. * velocity[0] + * sin (numbers::PI/2. - (1./2.+cell->index()) * 2.*numbers::PI/tria.n_active_cells() ); + tangential_velocity(cell->index())= + contract(velocity, + cell_tangentials[0] + ); + + } + +// // for(unsigned int pnt=0; pntindex()) +// << std::endl; + } + + +// DataOut > dataout; +// dataout.attach_dof_handler(dof_handler_q); +// dataout.add_data_vector(smooth_solution, "quadratic_potential"); +// dataout.build_patches(fe_q.degree); +// char outname[50]; +// sprintf(outname, "bem/bem_gradient.vtk"); +// std::ofstream file(outname); +// dataout.write_vtk(file); +// dataout.write_vtk(logfile); + + + +} + +template +void +BEM::output_results() +{ + + DataOut > dataout; + dataout.attach_dof_handler(dof_handler_q); + dataout.add_data_vector(smooth_solution, "linear_potential"); + dataout.add_data_vector(tangential_derivative, "tangential_velocity"); + dataout.add_data_vector(error, "error"); + dataout.build_patches(); +// dataout.build_patches(fe_q.degree); + dataout.write_vtk(logfile); + +} + +template +void +BEM::read_grid(std::string filename) +{ + GridIn gi; + gi.attach_triangulation (tria); + std::ifstream in (filename.c_str()); + gi.read_ucd (in); +} + + +template +void +BEM::write_grid(std::string filename) +{ + GridOut grid_out; + grid_out.set_flags (GridOutFlags::Ucd(true)); + grid_out.write_ucd (tria, logfile); + grid_out.write_msh (tria, logfile); +} + +int main () +{ + + BEM<2> bem; + bem.run(); + + return 0; +} + diff --git a/tests/codim_one/bem/cmp/generic b/tests/codim_one/bem/cmp/generic new file mode 100644 index 0000000000..acfb94a973 --- /dev/null +++ b/tests/codim_one/bem/cmp/generic @@ -0,0 +1,993 @@ + +DEAL:cg::Starting value 161.547 +DEAL:cg::Convergence step 3 value 3.41038e-14 +# vtk DataFile Version 3.0 +#This file was generated +ASCII +DATASET UNSTRUCTURED_GRID + +POINTS 40 double +0.00000 10.0000 0 +3.09017 9.51057 0 +3.09017 9.51057 0 +5.87785 8.09017 0 +5.87785 8.09017 0 +8.09017 5.87785 0 +8.09017 5.87785 0 +9.51057 3.09017 0 +9.51057 3.09017 0 +10.0000 0.00000 0 +10.0000 0.00000 0 +9.51057 -3.09017 0 +9.51057 -3.09017 0 +8.09017 -5.87785 0 +8.09017 -5.87785 0 +5.87785 -8.09017 0 +5.87785 -8.09017 0 +3.09017 -9.51057 0 +3.09017 -9.51057 0 +0.00000 -10.0000 0 +0.00000 -10.0000 0 +-3.09017 -9.51057 0 +-3.09017 -9.51057 0 +-5.87785 -8.09017 0 +-5.87785 -8.09017 0 +-8.09017 -5.87785 0 +-8.09017 -5.87785 0 +-9.51057 -3.09017 0 +-9.51057 -3.09017 0 +-10.0000 0.00000 0 +-10.0000 0.00000 0 +-9.51057 3.09017 0 +-9.51057 3.09017 0 +-8.09017 5.87785 0 +-8.09017 5.87785 0 +-5.87785 8.09017 0 +-5.87785 8.09017 0 +-3.09017 9.51057 0 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b/tests/codim_one/bem_integration.cc new file mode 100644 index 0000000000..125d9c5763 --- /dev/null +++ b/tests/codim_one/bem_integration.cc @@ -0,0 +1,234 @@ +//---------------------------- bem_integration.cc --------------------------- +// $Id: testsuite.html 13373 2006-07-13 13:12:08Z manigrasso $ +// Version: $Name$ +// +// Copyright (C) 2005 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- bem_integration.cc --------------------------- + + +// + + +#include "../tests.h" +#include +#include + +// all include files you need here + +#include +#include +#include +#include +#include +#include +//#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include +#include +#include + +using namespace std; + +ofstream logfile("bem_integration/output"); + + +template +class LaplaceKernelIntegration +{ +public: + + LaplaceKernelIntegration(); + ~LaplaceKernelIntegration(); + + void run(); + + void compute_SD_integral_on_cell(vector &dst, + typename DoFHandler::active_cell_iterator &cell, + const Point &point); + +private: + double term_S(const Point<3> &r, + const Point<3> &a1, + const Point<3> &a2, + const Point<3> &n, + const double &rn_c); + + double term_D(const Point<3> &r, + const Point<3> &a1, + const Point<3> &a2); + + SmartPointer > fe_values; +}; + +template <> +LaplaceKernelIntegration<2>::LaplaceKernelIntegration() +{ + static FE_DGP<2,3> fe(0); + vector > qps(5); + qps[0] = Point<2>(0,0); + qps[1] = Point<2>(0,1); + qps[2] = Point<2>(1,0); + qps[3] = Point<2>(1,1); + qps[4] = Point<2>(.5,.5); + vector ws(5,1.); + static Quadrature<2> quadrature(qps, ws); + fe_values = new FEValues<2,3>(fe,quadrature, + update_values | + update_jacobians ); +} + +template +LaplaceKernelIntegration::~LaplaceKernelIntegration() { + FEValues *fp = fe_values; + fe_values = 0; + delete fp; +} + + +template <> +void +LaplaceKernelIntegration<2>::compute_SD_integral_on_cell(vector &dst, + DoFHandler<2,3>::active_cell_iterator &cell, + const Point<3> &point) +{ + Assert(dst.size() == 2, + ExcDimensionMismatch(dst.size(), 2)); + fe_values->reinit(cell); + vector > jacobians = fe_values->get_jacobians(); + Point<3> r,a1,a2,n,r_c,n_c; + r_c = point-cell->center(); + n_c = jacobians[4][2]; + double rn_c = r_c*n_c; + vector i_S(4); + vector i_D(4); + for (unsigned int q_point=0; q_point < 4; ++q_point) + { + r = point-cell->vertex(q_point); + a1 = jacobians[q_point][0]; + a2 = jacobians[q_point][1]; + n = jacobians[q_point][2]; + i_S[q_point]=term_S(r,a1,a2,n,rn_c); + i_D[q_point]=term_D(r,a1,a2); + } + dst[0] = (i_S[3]-i_S[1]-i_S[2]+i_S[0]); + dst[1] = (i_D[3]-i_D[1]-i_D[2]+i_D[0]); + +} + +template +double +LaplaceKernelIntegration::term_S (const Point<3> &r, + const Point<3> &a1, + const Point<3> &a2, + const Point<3> &n, + const double &rn_c) +{ + Point<3> ra1, ra2, a12; + + cross_product(ra1,r,a1); + cross_product(ra2,r,a2); + cross_product(a12,a1,a2); + + double integral = + -1./2./numbers::PI + *( + - ra1*n/a1.norm() * asinh( r*a1/ra1.norm() ) + + ra2*n/a2.norm() * asinh( r*a2/ra2.norm() ) + + rn_c * atan( ra1*ra2 / (r.norm()* (r*(a12)))) + ); + + return integral; + +} + +template +double +LaplaceKernelIntegration::term_D (const Point<3> &r, + const Point<3> &a1, + const Point<3> &a2) +{ + Point<3> ra1, ra2, a12; + + cross_product(ra1,r,a1); + cross_product(ra2,r,a2); + cross_product(a12,a1,a2); + + double integral = 1./2./numbers::PI + *atan( ra1*ra2 / (r.norm()* (r*(a12)))); + + return integral; + +} + + +double +integration(Point<3> point) +{ + Triangulation<2,3> square; + GridGenerator::hyper_cube<2,3>(square,0,2); + DoFHandler<2,3> dof_handler(square); + static const FE_DGP<2,3> fe(0); + dof_handler.distribute_dofs(fe); + + DoFHandler<2,3>::active_cell_iterator + cell = dof_handler.begin_active(); + + LaplaceKernelIntegration<2> laplace; + vector integrals(2); + laplace.compute_SD_integral_on_cell(integrals, + cell, + point); + return integrals[0]; + +} + + + +int main() +{ + + deallog.attach(logfile); + deallog.depth_console(0); + deallog< point(.5, .5, 0); + double true_result= -3.163145629/numbers::PI; + deallog<< "Error on " << point + << " : " << integration(point)-true_result <(3, 3, 0); + true_result= -.2306783616; + deallog<< "Error on " << point + << " : " << integration(point)-true_result <(1.5, .5, 0); + true_result= -1.006860525; + deallog<< "Error on " << point + << " : " << integration(point)-true_result < +#include + +// all include files needed for the program + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + +#include +#include + +std::ofstream logfile("data_out/output"); + + +template +void test(std::string filename) { + + Triangulation triangulation; + GridIn gi; + + gi.attach_triangulation (triangulation); + std::ifstream in (filename.c_str()); + gi.read_ucd (in); + + FE_Q fe (1); + DoFHandler dof_handler (triangulation); + + dof_handler.distribute_dofs (fe); + + // Output the vertex numbering + Vector numbering(dof_handler.n_dofs()); + for(unsigned int i=0; i > dataout; + dataout.attach_dof_handler(dof_handler); + dataout.add_data_vector(numbering, "numbering"); + dataout.build_patches(); + dataout.write_vtk(logfile); +} + + + +int main () +{ + deallog.attach(logfile); + deallog.depth_console(0); + deallog << "Test<1,2>" << std::endl; + test<1,2>("grids/circle_2.inp"); + + deallog << "Test<2,3>" << std::endl; + test<2,3>("grids/sphere_2.inp"); + + return 0; +} diff --git a/tests/codim_one/data_out/cmp/generic b/tests/codim_one/data_out/cmp/generic new file mode 100644 index 0000000000..d133ed0829 --- /dev/null +++ b/tests/codim_one/data_out/cmp/generic @@ -0,0 +1,1951 @@ + +DEAL::Test<1,2> +# vtk DataFile Version 3.0 +#This file was generated +ASCII +DATASET UNSTRUCTURED_GRID + +POINTS 62 double +0.00000 1.00000 0 +0.201299 0.979530 0 +0.201299 0.979530 0 +0.394356 0.918958 0 +0.394356 0.918958 0 +0.571268 0.820763 0 +0.571268 0.820763 0 +0.724793 0.688967 0 +0.724793 0.688967 0 +0.848644 0.528964 0 +0.848644 0.528964 0 +0.937752 0.347305 0 +0.937752 0.347305 0 +0.988468 0.151428 0 +0.988468 0.151428 0 +0.998717 -0.0506492 0 +0.998717 -0.0506492 0 +0.968077 -0.250653 0 +0.968077 -0.250653 0 +0.897805 -0.440394 0 +0.897805 -0.440394 0 +0.790776 -0.612106 0 +0.790776 -0.612106 0 +0.651372 -0.758758 0 +0.651372 -0.758758 0 +0.485302 -0.874347 0 +0.485302 -0.874347 0 +0.299363 -0.954139 0 +0.299363 -0.954139 0 +0.101168 -0.994869 0 +0.101168 -0.994869 0 +-0.101168 -0.994869 0 +-0.101168 -0.994869 0 +-0.299363 -0.954139 0 +-0.299363 -0.954139 0 +-0.485302 -0.874347 0 +-0.485302 -0.874347 0 +-0.651372 -0.758758 0 +-0.651372 -0.758758 0 +-0.790776 -0.612106 0 +-0.790776 -0.612106 0 +-0.897805 -0.440394 0 +-0.897805 -0.440394 0 +-0.968077 -0.250653 0 +-0.968077 -0.250653 0 +-0.998717 -0.0506492 0 +-0.998717 -0.0506492 0 +-0.988468 0.151428 0 +-0.988468 0.151428 0 +-0.937752 0.347305 0 +-0.937752 0.347305 0 +-0.848644 0.528964 0 +-0.848644 0.528964 0 +-0.724793 0.688967 0 +-0.724793 0.688967 0 +-0.571268 0.820763 0 +-0.571268 0.820763 0 +-0.394356 0.918958 0 +-0.394356 0.918958 0 +-0.201299 0.979530 0 +-0.201299 0.979530 0 +0.00000 1.00000 0 + +CELLS 31 93 +2 0 1 +2 2 3 +2 4 5 +2 6 7 +2 8 9 +2 10 11 +2 12 13 +2 14 15 +2 16 17 +2 18 19 +2 20 21 +2 22 23 +2 24 25 +2 26 27 +2 28 29 +2 30 31 +2 32 33 +2 34 35 +2 36 37 +2 38 39 +2 40 41 +2 42 43 +2 44 45 +2 46 47 +2 48 49 +2 50 51 +2 52 53 +2 54 55 +2 56 57 +2 58 59 +2 60 61 + +CELL_TYPES 31 + 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 +POINT_DATA 62 +SCALARS numbering double 1 +LOOKUP_TABLE default +0.00000 0.00000 1.00000 1.00000 2.00000 2.00000 3.00000 3.00000 4.00000 4.00000 5.00000 5.00000 6.00000 6.00000 7.00000 7.00000 8.00000 8.00000 9.00000 9.00000 10.0000 10.0000 11.0000 11.0000 12.0000 12.0000 13.0000 13.0000 14.0000 14.0000 15.0000 15.0000 16.0000 16.0000 17.0000 17.0000 18.0000 18.0000 19.0000 19.0000 20.0000 20.0000 21.0000 21.0000 22.0000 22.0000 23.0000 23.0000 24.0000 24.0000 25.0000 25.0000 26.0000 26.0000 27.0000 27.0000 28.0000 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manigrasso $ +// Version: $Name$ +// +// Copyright (C) 2005, 2008 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- template.cc --------------------------- + + +// Controls that the covariant matrix is calculated properly. It uses +// a Q1 finite element to calculate the scalar product of the gradient +// of a projected function (a monomial) with the tangential to the +// cell surface taken in the cell midpoint. The result obtained is +// compared with the exact one in the <1,2> case. + +#include "../tests.h" +#include +#include +#include + +// all include files needed for the program + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + + + +std::ofstream logfile("gradients/output"); + +template +void test(std::string filename) + +{ + Triangulation triangulation; + GridIn gi; + + gi.attach_triangulation (triangulation); + std::ifstream in (filename.c_str()); + gi.read_ucd (in); + + const QMidpoint q_midpoint; + + + // finite elements used for the + // projection + const FE_Q fe (1); + DoFHandler dof_handler (triangulation); + dof_handler.distribute_dofs (fe); + FEValues fe_values (fe, q_midpoint, + update_values | + update_JxW_values | + update_cell_normal_vectors | + update_gradients); + + // finite elements used for the + // graphical representation with + // data_out + const FE_DGQ fe_help(0); + DoFHandler dof_handler_help (triangulation); + dof_handler_help.distribute_dofs (fe_help); + FEValues fe_values_help (fe_help, q_midpoint, + update_cell_normal_vectors); + + deallog + << "no. of cells "<< triangulation.n_cells() < projected_one(dof_handler.n_dofs()); + +// Functions::CosineFunction cosine; + + Tensor<1,spacedim> exp; + exp[0]=1; + exp[1]=0; + if(spacedim==3) + exp[2]=0; + Functions::Monomial monomial(exp); + + const QGauss quad(5); + ConstraintMatrix constraints; + constraints.close(); + VectorTools::project(dof_handler, constraints, quad, monomial, projected_one); + + + // calculate its gradient + + const unsigned int dofs_per_cell = fe.dofs_per_cell; + + FullMatrix cell_matrix (dofs_per_cell, dofs_per_cell); + + std::vector< Point > cell_normals(q_midpoint.n_quadrature_points); + std::vector< Point > cell_tangentials(q_midpoint.n_quadrature_points); + std::vector shape_directional_derivative(dofs_per_cell); + Vector projected_directional_derivative(triangulation.n_cells()); + + std::vector local_dof_indices (fe.dofs_per_cell); + + typename DoFHandler::active_cell_iterator + cell = dof_handler.begin_active(), + endc = dof_handler.end(); + + for (; cell!=endc; ++cell) + { + + fe_values.reinit(cell); + cell-> get_dof_indices (local_dof_indices); + cell_normals = fe_values.get_cell_normal_vectors(); + + // The cell tangential is calculated + // in the midpoint of the cell. For + // the <2,3> case the tangential with + // z component = 0 is chosen out of + // the plane tangential to the + // element surface. + cell_tangentials[0][0] = cell_normals[0][1] + / sqrt( pow(cell_normals[0][0],2) + pow(cell_normals[0][1],2) ); + cell_tangentials[0][1] = -cell_normals[0][0] + / sqrt( pow(cell_normals[0][0],2) + pow(cell_normals[0][1],2) ); + if (spacedim == 3) + cell_tangentials[0][2]=0.; + + for (unsigned int i=0; iindex()) + += + projected_one(local_dof_indices[i]) + * + shape_directional_derivative[i]; + } + + deallog + << "cell no. " + << cell->index()<< "; " + << "dir.deriv. " + << projected_directional_derivative(cell->index())<< "; "<index()+.5) / triangulation.n_cells() ) + << std::endl; + + + } + + // write graphical output + DataOut > dataout; + dataout.attach_dof_handler(dof_handler_help); + dataout.add_data_vector(projected_directional_derivative, "derivative"); + dataout.build_patches(); + dataout.write_vtk(logfile); +} + + + +int main () +{ + deallog.attach(logfile); + deallog.depth_console(0); + + deallog<<"Test <1,2>"<("grids/circle_4.inp"); + + deallog<"<("grids/sphere_1.inp"); + +// test<2,3>("grids/sphere_2.inp"); +// test<2,3>("grids/sphere_3.inp"); +// test<2,3>("grids/sphere_4.inp"); + + return 0; +} + diff --git a/tests/codim_one/gradients/cmp/generic b/tests/codim_one/gradients/cmp/generic new file mode 100644 index 0000000000..4453a0583d --- /dev/null +++ b/tests/codim_one/gradients/cmp/generic @@ -0,0 +1,1310 @@ + +DEAL::Test <1,2> +DEAL::no. of cells 126 +DEAL::no. of dofs 126 +DEAL::no. of dofs per cell 2 +DEAL::no. of help dofs 126 +DEAL::no. of help dofs per cell 1 +DEAL::cell no. 0; dir.deriv. 0.999689; +DEAL::exact solution 0.999689 +DEAL::cell no. 1; dir.deriv. 0.997204; +DEAL::exact solution 0.997204 +DEAL::cell no. 2; dir.deriv. 0.992239; +DEAL::exact solution 0.992239 +DEAL::cell no. 3; dir.deriv. 0.984808; +DEAL::exact solution 0.984808 +DEAL::cell no. 4; dir.deriv. 0.974928; +DEAL::exact solution 0.974928 +DEAL::cell no. 5; dir.deriv. 0.962624; +DEAL::exact solution 0.962624 +DEAL::cell no. 6; dir.deriv. 0.947927; +DEAL::exact solution 0.947927 +DEAL::cell no. 7; dir.deriv. 0.930874; +DEAL::exact solution 0.930874 +DEAL::cell no. 8; dir.deriv. 0.911506; +DEAL::exact solution 0.911506 +DEAL::cell no. 9; dir.deriv. 0.889872; +DEAL::exact solution 0.889872 +DEAL::cell no. 10; dir.deriv. 0.866025; +DEAL::exact solution 0.866025 +DEAL::cell no. 11; dir.deriv. 0.840026; +DEAL::exact solution 0.840026 +DEAL::cell no. 12; dir.deriv. 0.811938; +DEAL::exact solution 0.811938 +DEAL::cell no. 13; dir.deriv. 0.781831; +DEAL::exact solution 0.781831 +DEAL::cell no. 14; dir.deriv. 0.749781; +DEAL::exact solution 0.749781 +DEAL::cell no. 15; dir.deriv. 0.715867; +DEAL::exact solution 0.715867 +DEAL::cell no. 16; dir.deriv. 0.680173; +DEAL::exact solution 0.680173 +DEAL::cell no. 17; dir.deriv. 0.642788; +DEAL::exact solution 0.642788 +DEAL::cell no. 18; dir.deriv. 0.603804; +DEAL::exact solution 0.603804 +DEAL::cell no. 19; dir.deriv. 0.563320; +DEAL::exact solution 0.563320 +DEAL::cell no. 20; dir.deriv. 0.521435; +DEAL::exact solution 0.521435 +DEAL::cell no. 21; dir.deriv. 0.478254; +DEAL::exact solution 0.478254 +DEAL::cell no. 22; dir.deriv. 0.433884; +DEAL::exact solution 0.433884 +DEAL::cell no. 23; dir.deriv. 0.388435; +DEAL::exact solution 0.388435 +DEAL::cell no. 24; dir.deriv. 0.342020; +DEAL::exact solution 0.342020 +DEAL::cell no. 25; dir.deriv. 0.294755; +DEAL::exact solution 0.294755 +DEAL::cell no. 26; dir.deriv. 0.246757; +DEAL::exact solution 0.246757 +DEAL::cell no. 27; dir.deriv. 0.198146; +DEAL::exact solution 0.198146 +DEAL::cell no. 28; dir.deriv. 0.149042; +DEAL::exact solution 0.149042 +DEAL::cell no. 29; dir.deriv. 0.0995678; +DEAL::exact solution 0.0995678 +DEAL::cell no. 30; dir.deriv. 0.0498459; +DEAL::exact solution 0.0498459 +DEAL::cell no. 31; dir.deriv. 0; +DEAL::exact solution 6.12323e-17 +DEAL::cell no. 32; dir.deriv. -0.0498459; +DEAL::exact solution -0.0498459 +DEAL::cell no. 33; dir.deriv. -0.0995678; +DEAL::exact solution -0.0995678 +DEAL::cell no. 34; dir.deriv. -0.149042; +DEAL::exact solution -0.149042 +DEAL::cell no. 35; dir.deriv. -0.198146; +DEAL::exact solution -0.198146 +DEAL::cell no. 36; dir.deriv. -0.246757; +DEAL::exact solution -0.246757 +DEAL::cell no. 37; dir.deriv. -0.294755; +DEAL::exact solution -0.294755 +DEAL::cell no. 38; dir.deriv. -0.342020; +DEAL::exact solution -0.342020 +DEAL::cell no. 39; dir.deriv. -0.388435; +DEAL::exact solution -0.388435 +DEAL::cell no. 40; dir.deriv. -0.433884; +DEAL::exact solution 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+//---------------------------- template.cc --------------------------- +// $Id: testsuite.html 13373 2006-07-13 13:12:08Z kanschat $ +// Version: $Name$ +// +// Copyright (C) 2005, 2008 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- template.cc --------------------------- + + +// a short (a few lines) description of what the program does + +#include "../tests.h" +#include +#include + +// all include files you need here + +#include +#include +#include + +#include + +std::ofstream logfile("grid_in_out/output"); + +template +void test(std::string filename) { + Triangulation tria; + GridIn gi; + gi.attach_triangulation (tria); + std::ifstream in (filename.c_str()); + gi.read_ucd (in); + + GridOut grid_out; + grid_out.set_flags (GridOutFlags::Ucd(true)); + grid_out.write_ucd (tria, logfile); + grid_out.write_msh (tria, logfile); +} + +int main () +{ + deallog.attach(logfile); + deallog.depth_console(0); + + test<1,2>("grids/circle_1.inp"); + test<2,3>("grids/square.inp"); + test<2,3>("grids/sphere_1.inp"); + + return 0; +} + diff --git a/tests/codim_one/grid_in_out/cmp/generic b/tests/codim_one/grid_in_out/cmp/generic new file mode 100644 index 0000000000..f2a5105f2b --- /dev/null +++ b/tests/codim_one/grid_in_out/cmp/generic @@ -0,0 +1,534 @@ + +# This file was generated by the deal.II library. + + +# +# For a description of the UCD format see the AVS Developer's guide. +# +10 10 0 0 0 +1 0.00000 1.00000 0 +2 0.587785 0.809017 0 +3 0.951057 0.309017 0 +4 0.951057 -0.309017 0 +5 0.587785 -0.809017 0 +6 0.00000 -1.00000 0 +7 -0.587785 -0.809017 0 +8 -0.951057 -0.309017 0 +9 -0.951057 0.309017 0 +10 -0.587785 0.809017 0 +1 1 line 1 2 +2 1 line 2 3 +3 1 line 3 4 +4 1 line 4 5 +5 1 line 5 6 +6 1 line 6 7 +7 1 line 7 8 +8 1 line 8 9 +9 1 line 9 10 +10 1 line 10 1 +$NOD +10 +1 0.00000 1.00000 0 +2 0.587785 0.809017 0 +3 0.951057 0.309017 0 +4 0.951057 -0.309017 0 +5 0.587785 -0.809017 0 +6 0.00000 -1.00000 0 +7 -0.587785 -0.809017 0 +8 -0.951057 -0.309017 0 +9 -0.951057 0.309017 0 +10 -0.587785 0.809017 0 +$ENDNOD +$ELM 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Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- template.cc --------------------------- + + +// a short (a few lines) description of what the program does + +#include "../tests.h" +#include +#include + +// all include files you need here + +#include +#include +#include +#include + +#include +#include + +std::ofstream logfile("grid_refinement/output"); + +template +void test(std::string filename) { + HyperBallBoundary boundary; + Triangulation tria; + tria.set_boundary(1, boundary); + GridIn gi; + gi.attach_triangulation (tria); + std::ifstream in (filename.c_str()); + gi.read_ucd (in); + + GridOut grid_out; + grid_out.set_flags (GridOutFlags::Ucd(true)); + for(unsigned int cycle=0; cycle<3; ++cycle) { + tria.refine_global(1); + grid_out.write_msh (tria, logfile); + } +} + +int main () +{ + deallog.attach(logfile); + deallog.depth_console(0); + + deallog << "Test<1,2>" << std::endl; + test<1,2>("grids/circle_1.inp"); + + deallog << std::endl << "Test<1,2>" << std::endl; + test<2,3>("grids/sphere_1.inp"); + + return 0; +} + diff --git a/tests/codim_one/grid_refinement/cmp/generic b/tests/codim_one/grid_refinement/cmp/generic new file mode 100644 index 0000000000..93d96271a7 --- /dev/null +++ b/tests/codim_one/grid_refinement/cmp/generic @@ -0,0 +1,18134 @@ + +DEAL::Test<1,2> +$NOD +20 +1 0.00000 1.00000 0 +2 0.587785 0.809017 0 +3 0.951057 0.309017 0 +4 0.951057 -0.309017 0 +5 0.587785 -0.809017 0 +6 0.00000 -1.00000 0 +7 -0.587785 -0.809017 0 +8 -0.951057 -0.309017 0 +9 -0.951057 0.309017 0 +10 -0.587785 0.809017 0 +11 0.309017 0.951057 0 +12 0.809017 0.587785 0 +13 1.00000 0.00000 0 +14 0.809017 -0.587785 0 +15 0.309017 -0.951057 0 +16 -0.309017 -0.951057 0 +17 -0.809017 -0.587785 0 +18 -1.00000 0.00000 0 +19 -0.809017 0.587785 0 +20 -0.309017 0.951057 0 +$ENDNOD +$ELM +20 +1 1 1 0 2 1 11 +2 1 1 0 2 11 2 +3 1 1 0 2 2 12 +4 1 1 0 2 12 3 +5 1 1 0 2 3 13 +6 1 1 0 2 13 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quad 5075 5076 5077 6972 +5512 1 quad 6255 6351 6253 6254 +5513 1 quad 6917 6702 6813 6963 +5514 1 quad 6812 6701 6702 6917 +5515 1 quad 6821 6822 6823 6899 diff --git a/tests/codim_one/grids/square.inp b/tests/codim_one/grids/square.inp new file mode 100644 index 0000000000..fdf7a75ae9 --- /dev/null +++ b/tests/codim_one/grids/square.inp @@ -0,0 +1,20 @@ +# This file was generated by the deal.II library. +# Date = 2008/5/9 +# Time = 10:28:37 +# +# For a description of the UCD format see the AVS Developer's guide. +# +9 4 0 0 0 +1 0 0 0 +2 1 0 0 +3 0 1 0 +4 1 1 0 +5 2 0 0 +6 2 1 0 +7 2 2 0 +8 1 2 0 +9 0 2 0 +1 0 quad 1 2 4 3 +2 0 quad 2 5 6 4 +3 0 quad 4 6 7 8 +4 0 quad 4 8 9 3 diff --git a/tests/codim_one/integrate_log.cc b/tests/codim_one/integrate_log.cc new file mode 100644 index 0000000000..2558b9e503 --- /dev/null +++ b/tests/codim_one/integrate_log.cc @@ -0,0 +1,172 @@ +//---------------------------- template.cc --------------------------- +// $Id: testsuite.html 13373 2006-07-13 13:12:08Z manigrasso $ +// Version: $Name$ +// +// Copyright (C) 2005 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- template.cc --------------------------- + + +// integrates the function ln(x-a)*f(x), where f(x) is a power of x on the interval [a,b]. +// dim=1 only. + +#include "../tests.h" +#include +#include + +// all include files needed for the program + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + + +#include +#include + +#include + +std::ofstream logfile("integrate_log/output"); + +double test(const unsigned int n, + const unsigned int exponent, + const double a, + const double b) +{ + + const QGaussLog<1> qlog(n); + const QGauss<1> qgauss(7); + + Tensor<1,1> exp; + exp[0]=exponent; + Functions::Monomial<1> monomial(exp); + + Triangulation<1> tria; + GridGenerator::hyper_cube(tria,a,b); + + FE_Q<1> feq(1); + + DoFHandler<1> dh(tria); + + FEValues<1> fe_values(feq, qlog, update_JxW_values | update_quadrature_points), + fev_help(feq, qgauss, update_JxW_values | update_quadrature_points); + + + dh.distribute_dofs(feq); + + double integral=0; + + DoFHandler<1>::active_cell_iterator cell=dh.begin_active(), + endc=dh.end(); + + for(; cell!=endc; ++cell) + { + fe_values.reinit(cell); + fev_help.reinit(cell); + for(unsigned int i=0; i= b) + c = factorial(a) + / factorial(b) + / factorial(a-b); + else + deallog<<"Error: in Newton binomial the first integer must be greater or equal to the second."; + + return c; +} + +int main() +{ + deallog.attach(logfile); + deallog.depth_console(0); + deallog< +#include + +// all include files needed for the program + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + +#include +#include + +std::ofstream logfile("interpolation/output"); + + +template +void test(std::string filename, unsigned int n) { + + Triangulation triangulation; + GridIn gi; + + gi.attach_triangulation (triangulation); + std::ifstream in (filename.c_str()); + gi.read_ucd (in); + + FE_Q fe (n); + DoFHandler dof_handler (triangulation); + + dof_handler.distribute_dofs (fe); + + // Now we interpolate the constant function on the mesh, and check + // that this is consistent with what we expect. + Vector real_one(dof_handler.n_dofs()); + Vector interpolated_one(dof_handler.n_dofs()); + for(unsigned int i=0; i constant(1.); + VectorTools::interpolate(dof_handler, constant, interpolated_one); + + real_one.add(-1, interpolated_one); + + deallog << "L2 Norm of difference: " + << real_one.l2_norm() << std::endl + << "Linfty Norm of difference: " + << real_one.linfty_norm() << std::endl; +} + + + +int main () +{ + deallog.attach(logfile); + deallog.depth_console(0); + + for(unsigned int n=1; n<8; ++n) + { + deallog << "Test<1,2>, finite element q_" << n << std::endl; + test<1,2>("grids/circle_2.inp",n); + + deallog << "Test<1,2>, finite element q_" << n << std::endl; + test<2,3>("grids/sphere_2.inp",n); + } + return 0; +} diff --git a/tests/codim_one/interpolation/cmp/generic b/tests/codim_one/interpolation/cmp/generic new file mode 100644 index 0000000000..93dfdbbffd --- /dev/null +++ b/tests/codim_one/interpolation/cmp/generic @@ -0,0 +1,43 @@ + +DEAL::Test<1,2>, finite element q_1 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_1 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_2 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_2 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_3 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_3 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_4 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_4 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_5 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_5 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_6 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_6 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_7 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 +DEAL::Test<1,2>, finite element q_7 +DEAL::L2 Norm of difference: 0 +DEAL::Linfty Norm of difference: 0 diff --git a/tests/codim_one/interpolation_2.cc b/tests/codim_one/interpolation_2.cc new file mode 100644 index 0000000000..5f311d4c0c --- /dev/null +++ b/tests/codim_one/interpolation_2.cc @@ -0,0 +1,88 @@ +//---------------------------- template.cc --------------------------- +// $Id: testsuite.html 13373 2006-07-13 13:12:08Z manigrasso $ +// Version: $Name$ +// +// Copyright (C) 2005, 2008 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- template.cc --------------------------- + + +// calculates the surface of a sphere + +#include "../tests.h" +#include +#include + +// all include files needed for the program + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include + + +std::ofstream logfile("interpolation_2/output"); + + +template +void test(std::string filename) { + + Triangulation triangulation; + GridIn gi; + + gi.attach_triangulation (triangulation); + std::ifstream in (filename.c_str()); + gi.read_ucd (in); + + FE_Q fe (1); + DoFHandler dof_handler (triangulation); + + dof_handler.distribute_dofs (fe); + + // Now we interpolate the constant function on the mesh, and check + // that this is consistent with what we expect. + Vector interpolated_one(dof_handler.n_dofs()); + + Functions::CosineFunction cosine; + VectorTools::interpolate(dof_handler, cosine, interpolated_one); + + DataOut > dataout; + dataout.attach_dof_handler(dof_handler); + dataout.add_data_vector(interpolated_one, "numbering"); + dataout.build_patches(); + dataout.write_vtk(logfile); +} + + + +int main () +{ + deallog.attach(logfile); + deallog.depth_console(0); + + deallog << "Test<1,2>" << std::endl; + test<1,2>("grids/circle_2.inp"); + + deallog << "Test<1,2>" << std::endl; + test<2,3>("grids/sphere_2.inp"); + + return 0; +} diff --git a/tests/codim_one/interpolation_2/cmp/generic b/tests/codim_one/interpolation_2/cmp/generic new file mode 100644 index 0000000000..8c066e6616 --- /dev/null +++ b/tests/codim_one/interpolation_2/cmp/generic @@ -0,0 +1,1951 @@ + +DEAL::Test<1,2> +# vtk DataFile Version 3.0 +#This file was generated +ASCII +DATASET UNSTRUCTURED_GRID + +POINTS 62 double +0.00000 1.00000 0 +0.201299 0.979530 0 +0.201299 0.979530 0 +0.394356 0.918958 0 +0.394356 0.918958 0 +0.571268 0.820763 0 +0.571268 0.820763 0 +0.724793 0.688967 0 +0.724793 0.688967 0 +0.848644 0.528964 0 +0.848644 0.528964 0 +0.937752 0.347305 0 +0.937752 0.347305 0 +0.988468 0.151428 0 +0.988468 0.151428 0 +0.998717 -0.0506492 0 +0.998717 -0.0506492 0 +0.968077 -0.250653 0 +0.968077 -0.250653 0 +0.897805 -0.440394 0 +0.897805 -0.440394 0 +0.790776 -0.612106 0 +0.790776 -0.612106 0 +0.651372 -0.758758 0 +0.651372 -0.758758 0 +0.485302 -0.874347 0 +0.485302 -0.874347 0 +0.299363 -0.954139 0 +0.299363 -0.954139 0 +0.101168 -0.994869 0 +0.101168 -0.994869 0 +-0.101168 -0.994869 0 +-0.101168 -0.994869 0 +-0.299363 -0.954139 0 +-0.299363 -0.954139 0 +-0.485302 -0.874347 0 +-0.485302 -0.874347 0 +-0.651372 -0.758758 0 +-0.651372 -0.758758 0 +-0.790776 -0.612106 0 +-0.790776 -0.612106 0 +-0.897805 -0.440394 0 +-0.897805 -0.440394 0 +-0.968077 -0.250653 0 +-0.968077 -0.250653 0 +-0.998717 -0.0506492 0 +-0.998717 -0.0506492 0 +-0.988468 0.151428 0 +-0.988468 0.151428 0 +-0.937752 0.347305 0 +-0.937752 0.347305 0 +-0.848644 0.528964 0 +-0.848644 0.528964 0 +-0.724793 0.688967 0 +-0.724793 0.688967 0 +-0.571268 0.820763 0 +-0.571268 0.820763 0 +-0.394356 0.918958 0 +-0.394356 0.918958 0 +-0.201299 0.979530 0 +-0.201299 0.979530 0 +0.00000 1.00000 0 + +CELLS 31 93 +2 0 1 +2 2 3 +2 4 5 +2 6 7 +2 8 9 +2 10 11 +2 12 13 +2 14 15 +2 16 17 +2 18 19 +2 20 21 +2 22 23 +2 24 25 +2 26 27 +2 28 29 +2 30 31 +2 32 33 +2 34 35 +2 36 37 +2 38 39 +2 40 41 +2 42 43 +2 44 45 +2 46 47 +2 48 49 +2 50 51 +2 52 53 +2 54 55 +2 56 57 +2 58 59 +2 60 61 + +CELL_TYPES 31 + 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 +POINT_DATA 62 +SCALARS numbering double 1 +LOOKUP_TABLE default +6.12303e-17 6.12303e-17 0.0305550 0.0305550 0.103368 0.103368 0.173285 0.173285 0.196642 0.196642 0.158788 0.158788 0.0834524 0.0834524 0.0176029 0.0176029 0.00200973 0.00200973 0.0462882 0.0462882 0.123095 0.123095 0.184717 0.184717 0.192611 0.192611 0.141826 0.141826 0.0641634 0.0641634 0.00795761 0.00795761 0.00795761 0.00795761 0.0641634 0.0641634 0.141826 0.141826 0.192611 0.192611 0.184717 0.184717 0.123095 0.123095 0.0462882 0.0462882 0.00200973 0.00200973 0.0176029 0.0176029 0.0834524 0.0834524 0.158788 0.158788 0.196642 0.196642 0.173285 0.173285 0.103368 0.103368 0.0305550 0.0305550 +DEAL::Test<1,2> +# vtk DataFile Version 3.0 +#This file was generated +ASCII +DATASET UNSTRUCTURED_GRID + +POINTS 1460 double +0.00669937 0.000466175 0.999977 +0.199497 0.0116327 0.979829 +0.00461505 0.187078 0.982334 +0.190136 0.195195 0.962158 +0.00669937 0.000466175 0.999977 +0.00461505 0.187078 0.982334 +-0.182549 0.000741852 0.983196 +-0.182495 0.180430 0.966509 +0.0100420 -0.185333 0.982625 +0.00669937 0.000466175 0.999977 +-0.181661 -0.183137 0.966157 +-0.182549 0.000741852 0.983196 +0.0100420 -0.185333 0.982625 +0.203852 -0.178404 0.962609 +0.00669937 0.000466175 0.999977 +0.199497 0.0116327 0.979829 +0.200262 0.00155888 -0.979741 +0.197856 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0.0245554 0.0416045 0.0909278 0.0968182 0.0909278 0.0968182 0.154059 0.151749 0.0771628 0.118792 0.0599485 0.124628 0.0384108 0.0771628 0.00823931 0.0599485 0.0445769 0.109027 0.0540152 0.0960278 0.00217417 0.0445769 0.0234073 0.0540152 diff --git a/tests/codim_one/mapping_q1.cc b/tests/codim_one/mapping_q1.cc new file mode 100644 index 0000000000..301c9fe32c --- /dev/null +++ b/tests/codim_one/mapping_q1.cc @@ -0,0 +1,78 @@ + +//---------------------------- template.cc --------------------------- +// $Id: testsuite.html 13373 2006-07-13 13:12:08Z kanschat $ +// Version: $Name$ +// +// Copyright (C) 2005 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- template.cc --------------------------- + + +// computes points in real space starting from some quadrature points on the unit element + +#include "../tests.h" +#include +#include + +// all include files you need here + +#include +#include +#include +#include +#include +#include + +#include +#include + +std::ofstream logfile("mapping_q1/output"); + +template +void test(std::string filename) { + Triangulation tria; + GridIn gi; + gi.attach_triangulation (tria); + std::ifstream in (filename.c_str()); + gi.read_ucd (in); + + GridOut grid_out; + grid_out.set_flags (GridOutFlags::Ucd(true)); + grid_out.write_ucd (tria, logfile); + + QTrapez quad; + MappingQ1 mapping; + typename Triangulation::active_cell_iterator cell=tria.begin_active(), + endc=tria.end() ; + Point real; + Point unit; + for(;cell!=endc;++cell) + { + deallog< " << real << std::endl; + } + } + +} + +int main () +{ + deallog.attach(logfile); + deallog.depth_console(0); + + test<1,2>("grids/circle_1.inp"); + test<2,3>("grids/square.inp"); + test<2,3>("grids/sphere_1.inp"); + + return 0; +} + diff --git a/tests/codim_one/mapping_q1/cmp/generic b/tests/codim_one/mapping_q1/cmp/generic new file mode 100644 index 0000000000..b4333e524c --- /dev/null +++ b/tests/codim_one/mapping_q1/cmp/generic @@ -0,0 +1,849 @@ + +# This file was generated by the deal.II library. + + +# +# For a description of the UCD format see the AVS Developer's guide. +# +10 10 0 0 0 +1 0.00000 1.00000 0 +2 0.587785 0.809017 0 +3 0.951057 0.309017 0 +4 0.951057 -0.309017 0 +5 0.587785 -0.809017 0 +6 0.00000 -1.00000 0 +7 -0.587785 -0.809017 0 +8 -0.951057 -0.309017 0 +9 -0.951057 0.309017 0 +10 -0.587785 0.809017 0 +1 1 line 1 2 +2 1 line 2 3 +3 1 line 3 4 +4 1 line 4 5 +5 1 line 5 6 +6 1 line 6 7 +7 1 line 7 8 +8 1 line 8 9 +9 1 line 9 10 +10 1 line 10 1 +DEAL::0.0 +DEAL::0.00000 -> 0.00000 1.00000 +DEAL::1.00000 -> 0.587785 0.809017 +DEAL::0.1 +DEAL::0.00000 -> 0.587785 0.809017 +DEAL::1.00000 -> 0.951057 0.309017 +DEAL::0.2 +DEAL::0.00000 -> 0.951057 0.309017 +DEAL::1.00000 -> 0.951057 -0.309017 +DEAL::0.3 +DEAL::0.00000 -> 0.951057 -0.309017 +DEAL::1.00000 -> 0.587785 -0.809017 +DEAL::0.4 +DEAL::0.00000 -> 0.587785 -0.809017 +DEAL::1.00000 -> 0.00000 -1.00000 +DEAL::0.5 +DEAL::0.00000 -> 0.00000 -1.00000 +DEAL::1.00000 -> -0.587785 -0.809017 +DEAL::0.6 +DEAL::0.00000 -> -0.587785 -0.809017 +DEAL::1.00000 -> -0.951057 -0.309017 +DEAL::0.7 +DEAL::0.00000 -> -0.951057 -0.309017 +DEAL::1.00000 -> -0.951057 0.309017 +DEAL::0.8 +DEAL::0.00000 -> -0.951057 0.309017 +DEAL::1.00000 -> -0.587785 0.809017 +DEAL::0.9 +DEAL::0.00000 -> -0.587785 0.809017 +DEAL::1.00000 -> 0.00000 1.00000 +# This file was generated by the deal.II library. + + +# +# For a description of the UCD format see the AVS Developer's guide. +# +9 4 0 0 0 +1 0.00000 0.00000 0.00000 +2 1.00000 0.00000 0.00000 +3 0.00000 1.00000 0.00000 +4 1.00000 1.00000 0.00000 +5 2.00000 0.00000 0.00000 +6 2.00000 1.00000 0.00000 +7 2.00000 2.00000 0.00000 +8 1.00000 2.00000 0.00000 +9 0.00000 2.00000 0.00000 +1 0 quad 4 3 1 2 +2 0 quad 6 4 2 5 +3 0 quad 7 8 4 6 +4 0 quad 8 9 3 4 +DEAL::0.0 +DEAL::0.00000 0.00000 -> 1.00000 1.00000 0.00000 +DEAL::1.00000 0.00000 -> 0.00000 1.00000 0.00000 +DEAL::0.00000 1.00000 -> 1.00000 0.00000 0.00000 +DEAL::1.00000 1.00000 -> 0.00000 0.00000 0.00000 +DEAL::0.1 +DEAL::0.00000 0.00000 -> 2.00000 1.00000 0.00000 +DEAL::1.00000 0.00000 -> 1.00000 1.00000 0.00000 +DEAL::0.00000 1.00000 -> 2.00000 0.00000 0.00000 +DEAL::1.00000 1.00000 -> 1.00000 0.00000 0.00000 +DEAL::0.2 +DEAL::0.00000 0.00000 -> 2.00000 2.00000 0.00000 +DEAL::1.00000 0.00000 -> 1.00000 2.00000 0.00000 +DEAL::0.00000 1.00000 -> 2.00000 1.00000 0.00000 +DEAL::1.00000 1.00000 -> 1.00000 1.00000 0.00000 +DEAL::0.3 +DEAL::0.00000 0.00000 -> 1.00000 2.00000 0.00000 +DEAL::1.00000 0.00000 -> 0.00000 2.00000 0.00000 +DEAL::0.00000 1.00000 -> 1.00000 1.00000 0.00000 +DEAL::1.00000 1.00000 -> 0.00000 1.00000 0.00000 +# This file was generated by the deal.II library. + + +# +# For a description of the UCD format see the AVS Developer's guide. +# +108 106 0 0 0 +1 0.00178022 0.00931797 0.999955 +2 0.00349231 0.00461231 -0.999983 +3 0.342339 0.0465385 0.938423 +4 0.344411 -0.0231948 -0.938532 +5 0.263823 0.408120 0.873977 +6 0.363753 0.326848 -0.872270 +7 -0.0499119 0.322444 0.945272 +8 0.00809038 0.366486 -0.930389 +9 -0.349880 0.276923 0.894929 +10 -0.366349 0.350743 -0.861840 +11 -0.311977 0.00745462 0.950060 +12 -0.342360 -0.0100870 -0.939515 +13 -0.316292 -0.298937 0.900331 +14 -0.289183 -0.332580 -0.897643 +15 0.00679510 -0.328843 0.944360 +16 0.00385941 -0.311698 -0.950173 +17 0.354845 -0.314540 0.880426 +18 0.298350 -0.356878 -0.885226 +19 -0.581804 -0.238653 0.777527 +20 -0.518718 -0.0208746 0.854690 +21 -0.618273 0.185258 0.763818 +22 -0.655703 0.470729 0.590312 +23 -0.355505 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13 11 20 +10 1 quad 20 11 9 21 +11 1 quad 22 21 9 23 +12 1 quad 24 23 9 7 +13 1 quad 24 7 5 25 +14 1 quad 3 27 26 5 +15 1 quad 17 28 27 3 +16 1 quad 30 29 28 17 +17 1 quad 31 30 17 15 +18 1 quad 31 15 13 32 +19 1 quad 33 32 13 19 +20 1 quad 33 19 35 34 +21 1 quad 36 10 12 37 +22 1 quad 38 37 12 14 +23 1 quad 39 38 14 40 +24 1 quad 40 14 16 41 +25 1 quad 42 41 16 18 +26 1 quad 42 18 44 43 +27 1 quad 18 4 45 44 +28 1 quad 6 46 45 4 +29 1 quad 6 48 47 46 +30 1 quad 6 8 49 48 +31 1 quad 10 50 49 8 +32 1 quad 36 51 50 10 +33 1 quad 53 52 51 36 +34 1 quad 53 36 37 54 +35 1 quad 81 35 21 22 +36 1 quad 81 22 55 82 +37 1 quad 22 23 56 55 +38 1 quad 24 25 56 23 +39 1 quad 27 58 57 26 +40 1 quad 28 59 58 27 +41 1 quad 30 61 60 29 +42 1 quad 31 62 61 30 +43 1 quad 33 34 63 103 +44 1 quad 65 64 63 34 +45 1 quad 65 34 35 81 +46 1 quad 66 54 37 38 +47 1 quad 67 66 38 39 +48 1 quad 68 67 39 69 +49 1 quad 69 39 40 70 +50 1 quad 70 40 41 42 +51 1 quad 70 42 43 71 +52 1 quad 72 71 43 73 +53 1 quad 73 43 44 74 +54 1 quad 74 44 45 75 +55 1 quad 76 75 45 46 +56 1 quad 76 46 47 77 +57 1 quad 89 77 47 78 +58 1 quad 79 78 47 48 +59 1 quad 79 48 49 80 +60 1 quad 82 106 51 52 +61 1 quad 83 95 52 53 +62 1 quad 68 64 84 67 +63 1 quad 68 85 63 64 +64 1 quad 82 55 108 106 +65 1 quad 87 26 57 88 +66 1 quad 89 88 57 98 +67 1 quad 90 98 57 58 +68 1 quad 91 90 58 59 +69 1 quad 29 60 92 91 +70 1 quad 104 94 61 62 +71 1 quad 104 103 63 85 +72 1 quad 65 83 84 64 +73 1 quad 104 85 93 94 +74 1 quad 73 74 96 92 +75 1 quad 74 75 97 96 +76 1 quad 89 98 97 77 +77 1 quad 72 73 92 60 +78 1 quad 65 81 95 83 +79 1 quad 91 92 96 90 +80 1 quad 90 96 97 98 +81 1 quad 89 78 99 88 +82 1 quad 79 101 99 78 +83 1 quad 79 80 100 101 +84 1 quad 87 101 100 86 +85 1 quad 87 88 99 101 +86 1 quad 29 91 59 28 +87 1 quad 94 72 60 61 +88 1 quad 94 93 71 72 +89 1 quad 31 32 102 62 +90 1 quad 33 103 102 32 +91 1 quad 69 70 71 93 +92 1 quad 105 80 49 50 +93 1 quad 106 105 50 51 +94 1 quad 105 107 100 80 +95 1 quad 108 86 100 107 +96 1 quad 68 69 93 85 +97 1 quad 104 62 102 103 +98 1 quad 76 77 97 75 +99 1 quad 55 56 86 108 +100 1 quad 83 53 54 84 +101 1 quad 67 84 54 66 +102 1 quad 19 20 21 35 +103 1 quad 106 108 107 105 +104 1 quad 81 82 52 95 +105 1 quad 25 87 86 56 +106 1 quad 25 5 26 87 +DEAL::0.0 +DEAL::0.00000 0.00000 -> 0.00178022 0.00931797 0.999955 +DEAL::1.00000 0.00000 -> 0.342339 0.0465385 0.938423 +DEAL::0.00000 1.00000 -> -0.0499119 0.322444 0.945272 +DEAL::1.00000 1.00000 -> 0.263823 0.408120 0.873977 +DEAL::0.1 +DEAL::0.00000 0.00000 -> 0.00178022 0.00931797 0.999955 +DEAL::1.00000 0.00000 -> -0.0499119 0.322444 0.945272 +DEAL::0.00000 1.00000 -> -0.311977 0.00745462 0.950060 +DEAL::1.00000 1.00000 -> -0.349880 0.276923 0.894929 +DEAL::0.2 +DEAL::0.00000 0.00000 -> 0.00679510 -0.328843 0.944360 +DEAL::1.00000 0.00000 -> 0.00178022 0.00931797 0.999955 +DEAL::0.00000 1.00000 -> -0.316292 -0.298937 0.900331 +DEAL::1.00000 1.00000 -> -0.311977 0.00745462 0.950060 +DEAL::0.3 +DEAL::0.00000 0.00000 -> 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-0.886983 -0.329962 -0.323088 +DEAL::0.72 +DEAL::0.00000 0.00000 -> -0.249654 -0.920049 0.301963 +DEAL::1.00000 0.00000 -> -0.461518 -0.886803 0.0241058 +DEAL::0.00000 1.00000 -> 0.0699297 -0.989322 0.127877 +DEAL::1.00000 1.00000 -> -0.143988 -0.972315 -0.184038 +DEAL::0.73 +DEAL::0.00000 0.00000 -> 0.671511 -0.689556 -0.271267 +DEAL::1.00000 0.00000 -> 0.820909 -0.378965 -0.427193 +DEAL::0.00000 1.00000 -> 0.823247 -0.564669 0.0584194 +DEAL::1.00000 1.00000 -> 0.959996 -0.259541 -0.105098 +DEAL::0.74 +DEAL::0.00000 0.00000 -> 0.820909 -0.378965 -0.427193 +DEAL::1.00000 0.00000 -> 0.850590 -0.0521153 -0.523241 +DEAL::0.00000 1.00000 -> 0.959996 -0.259541 -0.105098 +DEAL::1.00000 1.00000 -> 0.966797 0.0718926 -0.245223 +DEAL::0.75 +DEAL::0.00000 0.00000 -> 0.850430 0.515922 -0.102922 +DEAL::1.00000 0.00000 -> 0.969530 0.235677 0.0668435 +DEAL::0.00000 1.00000 -> 0.863023 0.343845 -0.370084 +DEAL::1.00000 1.00000 -> 0.966797 0.0718926 -0.245223 +DEAL::0.76 +DEAL::0.00000 0.00000 -> 0.410092 -0.908811 -0.0767257 +DEAL::1.00000 0.00000 -> 0.671511 -0.689556 -0.271267 +DEAL::0.00000 1.00000 -> 0.577369 -0.777704 0.248639 +DEAL::1.00000 1.00000 -> 0.823247 -0.564669 0.0584194 +DEAL::0.77 +DEAL::0.00000 0.00000 -> -0.968869 -0.201841 0.143363 +DEAL::1.00000 0.00000 -> -0.922392 0.225124 0.313866 +DEAL::0.00000 1.00000 -> -0.984277 -0.0519672 -0.168814 +DEAL::1.00000 1.00000 -> -0.977511 0.209292 -0.0258734 +DEAL::0.78 +DEAL::0.00000 0.00000 -> 0.859439 -0.375019 0.347455 +DEAL::1.00000 0.00000 -> 0.823247 -0.564669 0.0584194 +DEAL::0.00000 1.00000 -> 0.972392 -0.0935506 0.213780 +DEAL::1.00000 1.00000 -> 0.959996 -0.259541 -0.105098 +DEAL::0.79 +DEAL::0.00000 0.00000 -> 0.972392 -0.0935506 0.213780 +DEAL::1.00000 0.00000 -> 0.959996 -0.259541 -0.105098 +DEAL::0.00000 1.00000 -> 0.969530 0.235677 0.0668435 +DEAL::1.00000 1.00000 -> 0.966797 0.0718926 -0.245223 +DEAL::0.80 +DEAL::0.00000 0.00000 -> 0.850430 0.515922 -0.102922 +DEAL::1.00000 0.00000 -> 0.655782 0.705401 -0.268995 +DEAL::0.00000 1.00000 -> 0.725490 0.663670 0.182225 +DEAL::1.00000 1.00000 -> 0.605130 0.795338 -0.0354306 +DEAL::0.81 +DEAL::0.00000 0.00000 -> 0.385544 0.848621 -0.362213 +DEAL::1.00000 0.00000 -> 0.368054 0.929539 -0.0222340 +DEAL::0.00000 1.00000 -> 0.655782 0.705401 -0.268995 +DEAL::1.00000 1.00000 -> 0.605130 0.795338 -0.0354306 +DEAL::0.82 +DEAL::0.00000 0.00000 -> 0.385544 0.848621 -0.362213 +DEAL::1.00000 0.00000 -> 0.0439654 0.916174 -0.398361 +DEAL::0.00000 1.00000 -> 0.368054 0.929539 -0.0222340 +DEAL::1.00000 1.00000 -> 0.0453701 0.996779 -0.0661311 +DEAL::0.83 +DEAL::0.00000 0.00000 -> 0.384841 0.827678 0.408468 +DEAL::1.00000 0.00000 -> 0.368054 0.929539 -0.0222340 +DEAL::0.00000 1.00000 -> -0.0526868 0.960179 0.274372 +DEAL::1.00000 1.00000 -> 0.0453701 0.996779 -0.0661311 +DEAL::0.84 +DEAL::0.00000 0.00000 -> 0.384841 0.827678 0.408468 +DEAL::1.00000 0.00000 -> 0.725490 0.663670 0.182225 +DEAL::0.00000 1.00000 -> 0.368054 0.929539 -0.0222340 +DEAL::1.00000 1.00000 -> 0.605130 0.795338 -0.0354306 +DEAL::0.85 +DEAL::0.00000 0.00000 -> 0.644255 -0.545349 0.536218 +DEAL::1.00000 0.00000 -> 0.859439 -0.375019 0.347455 +DEAL::0.00000 1.00000 -> 0.647206 -0.264372 0.715005 +DEAL::1.00000 1.00000 -> 0.818455 -0.202855 0.537571 +DEAL::0.86 +DEAL::0.00000 0.00000 -> 0.0699297 -0.989322 0.127877 +DEAL::1.00000 0.00000 -> 0.410092 -0.908811 -0.0767257 +DEAL::0.00000 1.00000 -> 0.245075 -0.866643 0.434590 +DEAL::1.00000 1.00000 -> 0.577369 -0.777704 0.248639 +DEAL::0.87 +DEAL::0.00000 0.00000 -> 0.0699297 -0.989322 0.127877 +DEAL::1.00000 0.00000 -> -0.143988 -0.972315 -0.184038 +DEAL::0.00000 1.00000 -> 0.410092 -0.908811 -0.0767257 +DEAL::1.00000 1.00000 -> 0.180294 -0.904820 -0.385740 +DEAL::0.88 +DEAL::0.00000 0.00000 -> -0.0136400 -0.623344 0.781828 +DEAL::1.00000 0.00000 -> -0.315086 -0.567457 0.760732 +DEAL::0.00000 1.00000 -> -0.0762364 -0.830976 0.551060 +DEAL::1.00000 1.00000 -> -0.299076 -0.738598 0.604174 +DEAL::0.89 +DEAL::0.00000 0.00000 -> -0.576157 -0.514159 0.635361 +DEAL::1.00000 0.00000 -> -0.482227 -0.749358 0.453784 +DEAL::0.00000 1.00000 -> -0.315086 -0.567457 0.760732 +DEAL::1.00000 1.00000 -> -0.299076 -0.738598 0.604174 +DEAL::0.90 +DEAL::0.00000 0.00000 -> -0.344524 -0.828036 -0.442335 +DEAL::1.00000 0.00000 -> -0.0527458 -0.777682 -0.626442 +DEAL::0.00000 1.00000 -> -0.143988 -0.972315 -0.184038 +DEAL::1.00000 1.00000 -> 0.180294 -0.904820 -0.385740 +DEAL::0.91 +DEAL::0.00000 0.00000 -> -0.290124 0.889598 -0.352767 +DEAL::1.00000 0.00000 -> 0.0439654 0.916174 -0.398361 +DEAL::0.00000 1.00000 -> -0.351416 0.677986 -0.645633 +DEAL::1.00000 1.00000 -> 0.0230305 0.697195 -0.716511 +DEAL::0.92 +DEAL::0.00000 0.00000 -> -0.570342 0.803635 -0.169944 +DEAL::1.00000 0.00000 -> -0.290124 0.889598 -0.352767 +DEAL::0.00000 1.00000 -> -0.669229 0.582943 -0.460771 +DEAL::1.00000 1.00000 -> -0.351416 0.677986 -0.645633 +DEAL::0.93 +DEAL::0.00000 0.00000 -> -0.290124 0.889598 -0.352767 +DEAL::1.00000 0.00000 -> -0.213036 0.970861 -0.109750 +DEAL::0.00000 1.00000 -> 0.0439654 0.916174 -0.398361 +DEAL::1.00000 1.00000 -> 0.0453701 0.996779 -0.0661311 +DEAL::0.94 +DEAL::0.00000 0.00000 -> -0.371668 0.922819 0.101334 +DEAL::1.00000 0.00000 -> -0.0526868 0.960179 0.274372 +DEAL::0.00000 1.00000 -> -0.213036 0.970861 -0.109750 +DEAL::1.00000 1.00000 -> 0.0453701 0.996779 -0.0661311 +DEAL::0.95 +DEAL::0.00000 0.00000 -> -0.627703 -0.738044 -0.247548 +DEAL::1.00000 0.00000 -> -0.344524 -0.828036 -0.442335 +DEAL::0.00000 1.00000 -> -0.461518 -0.886803 0.0241058 +DEAL::1.00000 1.00000 -> -0.143988 -0.972315 -0.184038 +DEAL::0.96 +DEAL::0.00000 0.00000 -> -0.249654 -0.920049 0.301963 +DEAL::1.00000 0.00000 -> -0.0762364 -0.830976 0.551060 +DEAL::0.00000 1.00000 -> -0.482227 -0.749358 0.453784 +DEAL::1.00000 1.00000 -> -0.299076 -0.738598 0.604174 +DEAL::0.97 +DEAL::0.00000 0.00000 -> 0.810912 0.188820 -0.553867 +DEAL::1.00000 0.00000 -> 0.863023 0.343845 -0.370084 +DEAL::0.00000 1.00000 -> 0.850590 -0.0521153 -0.523241 +DEAL::1.00000 1.00000 -> 0.966797 0.0718926 -0.245223 +DEAL::0.98 +DEAL::0.00000 0.00000 -> -0.550074 0.753033 0.361053 +DEAL::1.00000 0.00000 -> -0.227479 0.793528 0.564418 +DEAL::0.00000 1.00000 -> -0.371668 0.922819 0.101334 +DEAL::1.00000 1.00000 -> -0.0526868 0.960179 0.274372 +DEAL::0.99 +DEAL::0.00000 0.00000 -> -0.984277 -0.0519672 -0.168814 +DEAL::1.00000 0.00000 -> -0.893850 0.128655 -0.429512 +DEAL::0.00000 1.00000 -> -0.886983 -0.329962 -0.323088 +DEAL::1.00000 1.00000 -> -0.816819 -0.157920 -0.554859 +DEAL::0.100 +DEAL::0.00000 0.00000 -> -0.706419 -0.531732 -0.467153 +DEAL::1.00000 0.00000 -> -0.886983 -0.329962 -0.323088 +DEAL::0.00000 1.00000 -> -0.708921 -0.356642 -0.608471 +DEAL::1.00000 1.00000 -> -0.816819 -0.157920 -0.554859 +DEAL::0.101 +DEAL::0.00000 0.00000 -> -0.581804 -0.238653 0.777527 +DEAL::1.00000 0.00000 -> -0.518718 -0.0208746 0.854690 +DEAL::0.00000 1.00000 -> -0.789430 -0.0638458 0.610511 +DEAL::1.00000 1.00000 -> -0.618273 0.185258 0.763818 +DEAL::0.102 +DEAL::0.00000 0.00000 -> -0.570342 0.803635 -0.169944 +DEAL::1.00000 0.00000 -> -0.371668 0.922819 0.101334 +DEAL::0.00000 1.00000 -> -0.290124 0.889598 -0.352767 +DEAL::1.00000 1.00000 -> -0.213036 0.970861 -0.109750 +DEAL::0.103 +DEAL::0.00000 0.00000 -> -0.922392 0.225124 0.313866 +DEAL::1.00000 0.00000 -> -0.796328 0.599676 0.0790578 +DEAL::0.00000 1.00000 -> -0.977511 0.209292 -0.0258734 +DEAL::1.00000 1.00000 -> -0.883097 0.413202 -0.222268 +DEAL::0.104 +DEAL::0.00000 0.00000 -> 0.0849177 0.689837 0.718967 +DEAL::1.00000 0.00000 -> 0.384841 0.827678 0.408468 +DEAL::0.00000 1.00000 -> -0.227479 0.793528 0.564418 +DEAL::1.00000 1.00000 -> -0.0526868 0.960179 0.274372 +DEAL::0.105 +DEAL::0.00000 0.00000 -> 0.0849177 0.689837 0.718967 +DEAL::1.00000 0.00000 -> 0.263823 0.408120 0.873977 +DEAL::0.00000 1.00000 -> 0.384841 0.827678 0.408468 +DEAL::1.00000 1.00000 -> 0.590651 0.458181 0.664230 diff --git a/tests/codim_one/projection.cc b/tests/codim_one/projection.cc new file mode 100644 index 0000000000..6810489a60 --- /dev/null +++ b/tests/codim_one/projection.cc @@ -0,0 +1,97 @@ +//---------------------------- template.cc --------------------------- +// $Id: testsuite.html 13373 2006-07-13 13:12:08Z manigrasso $ +// Version: $Name$ +// +// Copyright (C) 2005, 2008 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- template.cc --------------------------- + + +// continous projection of a function on the surface of a hypersphere + +#include "../tests.h" +#include +#include + +// all include files needed for the program + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + +#include +#include + + +std::ofstream logfile("projection/output"); + + +template +void test(std::string filename, unsigned int n) { + + Triangulation triangulation; + GridIn gi; + + gi.attach_triangulation (triangulation); + std::ifstream in (filename.c_str()); + gi.read_ucd (in); + + FE_Q fe (n); + DoFHandler dof_handler (triangulation); + + dof_handler.distribute_dofs (fe); + + // Now we project the constant function on the mesh, and check + // that this is consistent with what we expect. + Vector projected_one(dof_handler.n_dofs()); + Vector error(dof_handler.n_dofs()); + + Functions::CosineFunction cosine; + QGauss quad(5); + ConstraintMatrix constraints; + constraints.close(); + VectorTools::project(dof_handler, constraints, quad, cosine, projected_one); + + DataOut > dataout; + dataout.attach_dof_handler(dof_handler); + dataout.add_data_vector(projected_one, "projection"); + dataout.build_patches(); + dataout.write_vtk(logfile); +} + + + +int main () +{ + deallog.attach(logfile); + deallog.depth_console(0); + + for (unsigned int n=1; n<5; n++) + { + deallog << "Test<1,2>, continous finite element q_" << n << std::endl; + test<1,2>("grids/circle_2.inp",n); + + deallog << "Test<2,3>, continous finite element q_" << n << std::endl; + test<2,3>("grids/sphere_2.inp",n); + } + return 0; +} diff --git a/tests/codim_one/projection/cmp/generic b/tests/codim_one/projection/cmp/generic new file mode 100644 index 0000000000..f76397285a --- /dev/null +++ b/tests/codim_one/projection/cmp/generic @@ -0,0 +1,7801 @@ + +DEAL::Test<1,2>, continous finite element q_1 +# vtk DataFile Version 3.0 +#This file was generated +ASCII +DATASET UNSTRUCTURED_GRID + +POINTS 62 double +0.00000 1.00000 0 +0.201299 0.979530 0 +0.201299 0.979530 0 +0.394356 0.918958 0 +0.394356 0.918958 0 +0.571268 0.820763 0 +0.571268 0.820763 0 +0.724793 0.688967 0 +0.724793 0.688967 0 +0.848644 0.528964 0 +0.848644 0.528964 0 +0.937752 0.347305 0 +0.937752 0.347305 0 +0.988468 0.151428 0 +0.988468 0.151428 0 +0.998717 -0.0506492 0 +0.998717 -0.0506492 0 +0.968077 -0.250653 0 +0.968077 -0.250653 0 +0.897805 -0.440394 0 +0.897805 -0.440394 0 +0.790776 -0.612106 0 +0.790776 -0.612106 0 +0.651372 -0.758758 0 +0.651372 -0.758758 0 +0.485302 -0.874347 0 +0.485302 -0.874347 0 +0.299363 -0.954139 0 +0.299363 -0.954139 0 +0.101168 -0.994869 0 +0.101168 -0.994869 0 +-0.101168 -0.994869 0 +-0.101168 -0.994869 0 +-0.299363 -0.954139 0 +-0.299363 -0.954139 0 +-0.485302 -0.874347 0 +-0.485302 -0.874347 0 +-0.651372 -0.758758 0 +-0.651372 -0.758758 0 +-0.790776 -0.612106 0 +-0.790776 -0.612106 0 +-0.897805 -0.440394 0 +-0.897805 -0.440394 0 +-0.968077 -0.250653 0 +-0.968077 -0.250653 0 +-0.998717 -0.0506492 0 +-0.998717 -0.0506492 0 +-0.988468 0.151428 0 +-0.988468 0.151428 0 +-0.937752 0.347305 0 +-0.937752 0.347305 0 +-0.848644 0.528964 0 +-0.848644 0.528964 0 +-0.724793 0.688967 0 +-0.724793 0.688967 0 +-0.571268 0.820763 0 +-0.571268 0.820763 0 +-0.394356 0.918958 0 +-0.394356 0.918958 0 +-0.201299 0.979530 0 +-0.201299 0.979530 0 +0.00000 1.00000 0 + +CELLS 31 93 +2 0 1 +2 2 3 +2 4 5 +2 6 7 +2 8 9 +2 10 11 +2 12 13 +2 14 15 +2 16 17 +2 18 19 +2 20 21 +2 22 23 +2 24 25 +2 26 27 +2 28 29 +2 30 31 +2 32 33 +2 34 35 +2 36 37 +2 38 39 +2 40 41 +2 42 43 +2 44 45 +2 46 47 +2 48 49 +2 50 51 +2 52 53 +2 54 55 +2 56 57 +2 58 59 +2 60 61 + +CELL_TYPES 31 + 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 +POINT_DATA 62 +SCALARS projection double 1 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0.0416046 0.101197 0.0968182 0.141058 0.0968182 0.141058 0.151749 0.179018 0.00217474 0.0234075 0.0245556 0.0416046 0.0245556 0.0416046 0.0909278 0.0968182 0.0909278 0.0968182 0.154059 0.151749 0.0771628 0.118792 0.0599486 0.124628 0.0384108 0.0771628 0.00823944 0.0599486 0.0445771 0.109027 0.0540152 0.0960278 0.00217474 0.0445771 0.0234075 0.0540152 diff --git a/tests/codim_one/projection_dgp.cc b/tests/codim_one/projection_dgp.cc new file mode 100644 index 0000000000..a2d9051d79 --- /dev/null +++ b/tests/codim_one/projection_dgp.cc @@ -0,0 +1,98 @@ +//---------------------------- template.cc --------------------------- +// $Id: testsuite.html 13373 2006-07-13 13:12:08Z manigrasso $ +// Version: $Name$ +// +// Copyright (C) 2005, 2008 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- template.cc --------------------------- + + +// projection of a function on the surface of a hypersphere +// with discontinous elements + +#include "../tests.h" +#include +#include + +// all include files needed for the program + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include + +#include +#include + + +std::ofstream logfile("projection_dgp/output"); + + +template +void test(std::string filename, unsigned int n) { + + Triangulation triangulation; + GridIn gi; + + gi.attach_triangulation (triangulation); + std::ifstream in (filename.c_str()); + gi.read_ucd (in); + + FE_DGP fe (n); + DoFHandler dof_handler (triangulation); + + dof_handler.distribute_dofs (fe); + + // Now we interpolate the constant function on the mesh, and check + // that this is consistent with what we expect. + Vector interpolated_one(dof_handler.n_dofs()); + Vector error(dof_handler.n_dofs()); + + Functions::CosineFunction cosine; + QGauss quad(5); + ConstraintMatrix constraints; + constraints.close(); + VectorTools::project(dof_handler, constraints, quad, cosine, interpolated_one); + + DataOut > dataout; + dataout.attach_dof_handler(dof_handler); + dataout.add_data_vector(interpolated_one, "numbering"); + dataout.build_patches(); + dataout.write_vtk(logfile); +} + + + +int main () +{ + deallog.attach(logfile); + deallog.depth_console(0); + + for (unsigned int n=1; n<5; n++) + { + deallog << "Test<1,2>, continous finite element q_" << n << std::endl; + test<1,2>("grids/circle_2.inp",n); + + deallog << "Test<2,3>, continous finite element q_" << n << std::endl; + test<2,3>("grids/sphere_2.inp",n); + } + return 0; +} diff --git a/tests/codim_one/projection_dgp/cmp/generic b/tests/codim_one/projection_dgp/cmp/generic new file mode 100644 index 0000000000..08f4053960 --- /dev/null +++ b/tests/codim_one/projection_dgp/cmp/generic @@ -0,0 +1,7801 @@ + +DEAL::Test<1,2>, continous finite element q_1 +# vtk DataFile Version 3.0 +#This file was generated +ASCII +DATASET UNSTRUCTURED_GRID + +POINTS 62 double +0.00000 1.00000 0 +0.201299 0.979530 0 +0.201299 0.979530 0 +0.394356 0.918958 0 +0.394356 0.918958 0 +0.571268 0.820763 0 +0.571268 0.820763 0 +0.724793 0.688967 0 +0.724793 0.688967 0 +0.848644 0.528964 0 +0.848644 0.528964 0 +0.937752 0.347305 0 +0.937752 0.347305 0 +0.988468 0.151428 0 +0.988468 0.151428 0 +0.998717 -0.0506492 0 +0.998717 -0.0506492 0 +0.968077 -0.250653 0 +0.968077 -0.250653 0 +0.897805 -0.440394 0 +0.897805 -0.440394 0 +0.790776 -0.612106 0 +0.790776 -0.612106 0 +0.651372 -0.758758 0 +0.651372 -0.758758 0 +0.485302 -0.874347 0 +0.485302 -0.874347 0 +0.299363 -0.954139 0 +0.299363 -0.954139 0 +0.101168 -0.994869 0 +0.101168 -0.994869 0 +-0.101168 -0.994869 0 +-0.101168 -0.994869 0 +-0.299363 -0.954139 0 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0.0416038 0.101197 0.0968183 0.141059 0.0968144 0.141058 0.151749 0.179022 0.00217396 0.0234072 0.0245555 0.0416050 0.0245517 0.0416058 0.0909265 0.0968225 0.0909222 0.0968185 0.154059 0.151755 0.0771628 0.118806 0.0599365 0.124629 0.0384113 0.0771660 0.00823651 0.0599479 0.0445654 0.109028 0.0540149 0.0960421 0.00216872 0.0445776 0.0234068 0.0540216 diff --git a/tests/codim_one/surface.cc b/tests/codim_one/surface.cc new file mode 100644 index 0000000000..b9b4ea9bec --- /dev/null +++ b/tests/codim_one/surface.cc @@ -0,0 +1,115 @@ +//---------------------------- template.cc --------------------------- +// $Id: testsuite.html 13373 2006-07-13 13:12:08Z manigrasso $ +// Version: $Name$ +// +// Copyright (C) 2005 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- template.cc --------------------------- + + +// calculates the measure of the surface of a hypersphere + +#include "../tests.h" +#include +#include + +// all include files needed for the program + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include + +std::ofstream logfile("surface/output"); + +// Computes the area and the outer normals of circles and spheres +// which are more and more refined, and prints the error on the +// output. +template +void test(std::string filename) { + + Triangulation triangulation; + GridIn gi; + + gi.attach_triangulation (triangulation); + std::ifstream in (filename.c_str()); + gi.read_ucd (in); + + const QGauss quadrature(2); + const FE_Q dummy_fe (1); + DoFHandler dof_handler (triangulation); + + FEValues fe_values (dummy_fe, quadrature, + update_JxW_values | + update_cell_normal_vectors | + update_quadrature_points); + + dof_handler.distribute_dofs (dummy_fe); + + double area = 0; + double normals = 0; + + typename DoFHandler::active_cell_iterator + cell = dof_handler.begin_active(), + endc = dof_handler.end(); + + std::vector > expectedcellnormals(fe_values.n_quadrature_points); + + for (; cell!=endc; ++cell) + { + fe_values.reinit (cell); + const std::vector > & cellnormals = fe_values.get_cell_normal_vectors(); + const std::vector > & quad_points = fe_values.get_quadrature_points(); + + for (unsigned int i=0; i"<("grids/circle_1.inp"); + test<1,2>("grids/circle_2.inp"); + test<1,2>("grids/circle_3.inp"); + test<1,2>("grids/circle_4.inp"); + + deallog<<"Test <2,3>"<("grids/sphere_1.inp"); + test<2,3>("grids/sphere_2.inp"); + test<2,3>("grids/sphere_3.inp"); + test<2,3>("grids/sphere_4.inp"); + + return 0; +} diff --git a/tests/codim_one/surface/cmp/generic b/tests/codim_one/surface/cmp/generic new file mode 100644 index 0000000000..0f50f8ea0e --- /dev/null +++ b/tests/codim_one/surface/cmp/generic @@ -0,0 +1,27 @@ + +DEAL::Test <1,2> +DEAL::Approximate measure of hyper sphere = 6.18034 +DEAL::Error = 0.102845 +DEAL::Average error in norms: 0.185172 +DEAL::Approximate measure of hyper sphere = 6.27244 +DEAL::Error = 0.0107493 +DEAL::Average error in norms: 0.0586351 +DEAL::Approximate measure of hyper sphere = 6.28058 +DEAL::Error = 0.00260371 +DEAL::Average error in norms: 0.0288054 +DEAL::Approximate measure of hyper sphere = 6.28253 +DEAL::Error = 0.000650989 +DEAL::Average error in norms: 0.0143971 +DEAL::Test <2,3> +DEAL::Approximate measure of hyper sphere = 12.1766 +DEAL::Error = 0.389728 +DEAL::Average error in norms: 0.143231 +DEAL::Approximate measure of hyper sphere = 12.4510 +DEAL::Error = 0.115385 +DEAL::Average error in norms: 0.0767183 +DEAL::Approximate measure of hyper sphere = 12.5384 +DEAL::Error = 0.0279804 +DEAL::Average error in norms: 0.0378600 +DEAL::Approximate measure of hyper sphere = 12.5589 +DEAL::Error = 0.00742861 +DEAL::Average error in norms: 0.0195407 diff --git a/tests/codim_one/tensor_matrix_conversion.cc b/tests/codim_one/tensor_matrix_conversion.cc new file mode 100644 index 0000000000..9efcfb0af4 --- /dev/null +++ b/tests/codim_one/tensor_matrix_conversion.cc @@ -0,0 +1,110 @@ +//---------------------------- template.cc --------------------------- +// $Id: testsuite.html 13373 2006-07-13 13:12:08Z kanschat $ +// Version: $Name$ +// +// Copyright (C) 2005 by the deal.II authors +// +// This file is subject to QPL and may not be distributed +// without copyright and license information. Please refer +// to the file deal.II/doc/license.html for the text and +// further information on this license. +// +//---------------------------- template.cc --------------------------- + + +// a short (a few lines) description of what the program does + +#include "../tests.h" +#include +#include + +// all include files you need here + +#include +#include + +std::ofstream logfile("tensor_matrix_conversion/output"); + + +template +void +fill_matrix(FullMatrix &A) +{ + for (unsigned int i=0; i +void +display_matrix(FullMatrix M) +{ + deallog< +void +fill_tensor_2(Tensor<2,b> &T) +{ + for (unsigned int i=0; i +void +display_tensor_2(Tensor<2,b> &T) +{ + deallog< A1(10,10); + Tensor<2,3> T1; + fill_tensor_2(T1); + + for (unsigned int n=0; n<3; n++) + for (unsigned int i=0; i<10-n; i++) + for (unsigned int j=0; j<10-n; j++) + { + A1.copy_from(T1,0,n,0,n,i,j); + display_matrix(A1); + A1 = 0; + } + + FullMatrix A2(3,3); + fill_matrix(A2); + Tensor<2,3> T2; + for (unsigned int n=0; n<3; n++) + for (unsigned int i=0; i<3-n; i++) + for (unsigned int j=0; j<3-n; j++) + { + A2.copy_to(T2,0,n,0,n,i,j); + display_tensor_2(T2); + T2 = 0; + } + + + + return 0; +} + diff --git a/tests/codim_one/tensor_matrix_conversion/cmp/generic b/tests/codim_one/tensor_matrix_conversion/cmp/generic new file mode 100644 index 0000000000..78e522ac01 --- /dev/null +++ b/tests/codim_one/tensor_matrix_conversion/cmp/generic @@ -0,0 +1,2752 @@ + +DEAL::10x10 matrix +DEAL::1.00000 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::10x10 matrix +DEAL::0 1.00000 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 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