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+//-----------------------------------------------------------------------------
+// $Id: data_out_base_pvd.cc 25569 2012-05-30 12:53:31Z bangerth $
+// Version: $Name$
+//
+// Copyright (C) 2006, 2007, 2010, 2012 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.
+//
+//-----------------------------------------------------------------------------
+
+
+// on a somewhat deformed cube, verify that if we push forward a bunch
+// of points from the reference to the real cell and then call
+// Mapping::transform_unit_to_real_cell that we get the same point as
+// we had in the beginning.
#include "../tests.h"
template<int dim, int spacedim>
void test_real_to_unit_cell()
{
-
- Triangulation<dim, spacedim> triangulation;
- GridGenerator::hyper_cube (triangulation);
+ deallog << "dim=" << dim << ", spacedim=" << spacedim << std::endl;
+ Triangulation<dim, spacedim> triangulation;
+ GridGenerator::hyper_cube (triangulation);
const unsigned int n_points = 5;
-
-
std::vector< Point<dim> > unit_points(Utilities::fixed_power<dim>(n_points));
-
switch (dim)
{
-
case 1:
for (unsigned int x=0; x<n_points;++x)
unit_points[x][0] = double(x)/double(n_points);
break;
-
+
case 2:
for (unsigned int x=0; x<n_points;++x)
for (unsigned int y=0; y<n_points;++y)
}
break;
}
-
-
+
+
MappingQ1< dim, spacedim > map;
-
- typename Triangulation<dim, spacedim >::active_cell_iterator cell = triangulation.begin_active();
+ typename Triangulation<dim, spacedim >::active_cell_iterator
+ cell = triangulation.begin_active();
//Move a vertex a little bit
const unsigned int n_dx = 5;
Point<spacedim> direction;
for (unsigned int j=0; j<spacedim;++j)
direction[j]=dx;
-
+
+ // in a loop, make the cell more
+ // and more distorted
for (unsigned int j=0; j<n_dx;++j)
{
+ deallog << "Vertex displacement: " << double(j)*direction << std::endl;
cell->vertex(0) = double(j)*direction;
- deallog << "Vertex displacement: " << j*dx << std::endl << std::endl;
- for (unsigned int i=0; i<Utilities::fixed_power<dim>(n_points);++i)
+
+ for (unsigned int i=0; i<unit_points.size();++i)
{
-
- Point<spacedim> p = map.transform_unit_to_real_cell(cell,unit_points[i]);
- Point<dim> p_unit = map.transform_real_to_unit_cell(cell,p);
- // deallog << "Orig :" << unit_points[i] << std::endl;
- // deallog << "p :" << p << std::endl;
- // deallog << "p_unit :" << p_unit << std::endl;
- deallog << "Distance: " << unit_points[i].distance(p_unit) << std::endl << std::endl;
+ // for each of the points,
+ // verify that if we apply
+ // the forward map and then
+ // pull back that we get
+ // the same point again
+ const Point<spacedim> p = map.transform_unit_to_real_cell(cell,unit_points[i]);
+ const Point<dim> p_unit = map.transform_real_to_unit_cell(cell,p);
+ Assert (unit_points[i].distance(p_unit) < 1e-10,
+ ExcInternalError());
}
- deallog << std::endl << std::endl;
}
+ deallog << "OK" << std::endl;
}
int
main()
{
- std::ofstream logfile ("mapping_real_to_unit/output");
+ std::ofstream logfile ("mapping_real_to_unit_q1/output");
deallog.attach(logfile);
deallog.depth_console(0);
deallog.threshold_double(1.e-10);
test_real_to_unit_cell<1,1>();
test_real_to_unit_cell<2,2>();
test_real_to_unit_cell<3,3>();
-
+
test_real_to_unit_cell<1,2>();
// test_real_to_unit_cell<1,3>();
test_real_to_unit_cell<2,3>();
-
+
return 0;
}
--- /dev/null
+
+DEAL::dim=1, spacedim=1
+DEAL::Vertex displacement: 0.00000
+DEAL::Vertex displacement: 0.0800000
+DEAL::Vertex displacement: 0.160000
+DEAL::Vertex displacement: 0.240000
+DEAL::Vertex displacement: 0.320000
+DEAL::OK
+DEAL::dim=2, spacedim=2
+DEAL::Vertex displacement: 0.00000 0.00000
+DEAL::Vertex displacement: 0.0800000 0.0800000
+DEAL::Vertex displacement: 0.160000 0.160000
+DEAL::Vertex displacement: 0.240000 0.240000
+DEAL::Vertex displacement: 0.320000 0.320000
+DEAL::OK
+DEAL::dim=3, spacedim=3
+DEAL::Vertex displacement: 0.00000 0.00000 0.00000
+DEAL::Vertex displacement: 0.0800000 0.0800000 0.0800000
+DEAL::Vertex displacement: 0.160000 0.160000 0.160000
+DEAL::Vertex displacement: 0.240000 0.240000 0.240000
+DEAL::Vertex displacement: 0.320000 0.320000 0.320000
+DEAL::OK
+DEAL::dim=1, spacedim=2
+DEAL::Vertex displacement: 0.00000 0.00000
+DEAL::Vertex displacement: 0.0800000 0.0800000
+DEAL::Vertex displacement: 0.160000 0.160000
+DEAL::Vertex displacement: 0.240000 0.240000
+DEAL::Vertex displacement: 0.320000 0.320000
+DEAL::OK
+DEAL::dim=2, spacedim=3
+DEAL::Vertex displacement: 0.00000 0.00000 0.00000
+DEAL::Vertex displacement: 0.0800000 0.0800000 0.0800000
+DEAL::Vertex displacement: 0.160000 0.160000 0.160000
+DEAL::Vertex displacement: 0.240000 0.240000 0.240000
+DEAL::Vertex displacement: 0.320000 0.320000 0.320000
+DEAL::OK