--- /dev/null
+//---------------------------- mapping_01.cc ---------------------------
+// $Id: bem.cc 22693 2010-11-11 20:11:47Z kanschat $
+// Version: $Name$
+//
+// Copyright (C) 2010 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.
+//
+//---------------------------- mapping_01.cc ---------------------------
+
+
+// test mapping surfaces in higher dimensions. when we use the MappingQ1
+// class, each 1d cell in 2d space is mapped to a straight line and so all
+// cell normals should be parallel. likewise, if the four vertices of a 2d
+// cell in 3d space are in a plane, then the cell normal vectors at all
+// quadrature points of the same cell should be parallel, even though the true
+// surface is curved
+
+#include "../tests.h"
+
+#include <base/quadrature_lib.h>
+#include <grid/tria.h>
+#include <grid/grid_generator.h>
+#include <grid/tria_boundary_lib.h>
+#include <grid/grid_out.h>
+#include <grid/grid_tools.h>
+#include <fe/fe_values.h>
+#include <fe/fe_q.h>
+#include <fe/mapping_q1.h>
+
+
+template <int dim>
+void test ()
+{
+ deallog << "Testing hyper_ball in dim: " << dim << "..."<< std::endl;
+
+ Triangulation<dim> volume_mesh;
+ GridGenerator::hyper_ball(volume_mesh);
+
+ const HyperBallBoundary<dim-1,dim> surface_description;
+ Triangulation<dim-1,dim> boundary_mesh;
+ boundary_mesh.set_boundary (0, surface_description);
+
+ GridTools::extract_boundary_mesh (volume_mesh, boundary_mesh);
+
+ QGauss<dim-1> quadrature(2);
+ MappingQ1<dim-1,dim> mapping;
+ FE_Q<dim-1,dim> fe (1);
+
+ FEValues<dim-1,dim> fe_values (mapping, fe, quadrature, update_cell_normal_vectors);
+
+ for (typename Triangulation<dim-1,dim>::active_cell_iterator
+ cell = boundary_mesh.begin_active(); cell != boundary_mesh.end();
+ ++cell)
+ {
+ deallog << "Cell = " << cell
+ << ", with center at " << cell->center()
+ << std::endl;
+ fe_values.reinit (cell);
+
+ for (unsigned int q=0; q<quadrature.size(); ++q)
+ deallog << " cell_normal[" << q << "] = "
+ << fe_values.cell_normal_vector(q)
+ << std::endl;
+ }
+}
+
+
+
+int main ()
+{
+ std::ofstream logfile("mapping_01/output");
+ deallog.attach(logfile);
+ deallog.depth_console(0);
+
+ test<2> ();
+ test<3> ();
+
+ return 0;
+}
--- /dev/null
+
+DEAL::Testing hyper_ball in dim: 2...
+DEAL::Cell = 0.0, with center at 0.00000 -0.707107
+DEAL:: cell_normal[0] = 0.00000 1.00000
+DEAL:: cell_normal[1] = 0.00000 1.00000
+DEAL::Cell = 0.1, with center at -0.707107 0.00000
+DEAL:: cell_normal[0] = 1.00000 0.00000
+DEAL:: cell_normal[1] = 1.00000 0.00000
+DEAL::Cell = 0.2, with center at 0.707107 0.00000
+DEAL:: cell_normal[0] = -1.00000 0.00000
+DEAL:: cell_normal[1] = -1.00000 0.00000
+DEAL::Cell = 0.3, with center at 0.00000 0.707107
+DEAL:: cell_normal[0] = 0.00000 -1.00000
+DEAL:: cell_normal[1] = 0.00000 -1.00000
+DEAL::Testing hyper_ball in dim: 3...
+DEAL::Cell = 0.0, with center at 0.00000 0.00000 -0.577350
+DEAL:: cell_normal[0] = 0.00000 0.00000 1.00000
+DEAL:: cell_normal[1] = 0.00000 0.00000 1.00000
+DEAL:: cell_normal[2] = 0.00000 0.00000 1.00000
+DEAL:: cell_normal[3] = 0.00000 0.00000 1.00000
+DEAL::Cell = 0.1, with center at 0.577350 0.00000 0.00000
+DEAL:: cell_normal[0] = -1.00000 0.00000 0.00000
+DEAL:: cell_normal[1] = -1.00000 0.00000 0.00000
+DEAL:: cell_normal[2] = -1.00000 0.00000 0.00000
+DEAL:: cell_normal[3] = -1.00000 0.00000 0.00000
+DEAL::Cell = 0.2, with center at 0.00000 0.00000 0.577350
+DEAL:: cell_normal[0] = 0.00000 0.00000 -1.00000
+DEAL:: cell_normal[1] = 0.00000 0.00000 -1.00000
+DEAL:: cell_normal[2] = 0.00000 0.00000 -1.00000
+DEAL:: cell_normal[3] = 0.00000 0.00000 -1.00000
+DEAL::Cell = 0.3, with center at -0.577350 0.00000 0.00000
+DEAL:: cell_normal[0] = 1.00000 0.00000 0.00000
+DEAL:: cell_normal[1] = 1.00000 0.00000 0.00000
+DEAL:: cell_normal[2] = 1.00000 0.00000 0.00000
+DEAL:: cell_normal[3] = 1.00000 0.00000 0.00000
+DEAL::Cell = 0.4, with center at 0.00000 -0.577350 0.00000
+DEAL:: cell_normal[0] = 0.00000 1.00000 0.00000
+DEAL:: cell_normal[1] = 0.00000 1.00000 0.00000
+DEAL:: cell_normal[2] = 0.00000 1.00000 0.00000
+DEAL:: cell_normal[3] = 0.00000 1.00000 0.00000
+DEAL::Cell = 0.5, with center at 0.00000 0.577350 0.00000
+DEAL:: cell_normal[0] = 0.00000 -1.00000 0.00000
+DEAL:: cell_normal[1] = 0.00000 -1.00000 0.00000
+DEAL:: cell_normal[2] = 0.00000 -1.00000 0.00000
+DEAL:: cell_normal[3] = 0.00000 -1.00000 0.00000