--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2016 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+// Check SphericalManifold on faces.
+
+#include "../tests.h"
+
+#include <deal.II/base/utilities.h>
+#include <deal.II/base/qprojector.h>
+#include <deal.II/grid/tria.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/fe/mapping_q_generic.h>
+#include <deal.II/fe/mapping_manifold.h>
+#include <deal.II/fe/fe_values.h>
+#include <deal.II/grid/manifold_lib.h>
+
+// Check that the spherical manifold finds the right intermediate
+// points both using face quadratures, as well as using face
+// quadratures projected to cells.
+
+#include <numeric>
+
+template<int dim, int spacedim>
+void test()
+{
+ deallog << "dim=" << dim << ", spacedim=" << spacedim << std::endl;
+
+ Triangulation<dim, spacedim> triangulation;
+
+ GridGenerator::hyper_cube (triangulation, 2.0, 4.0);
+
+ typename Triangulation<dim,spacedim>::active_cell_iterator
+ cell = triangulation.begin_active();
+
+ // Center and radius of the Ball
+ Point<spacedim> center = cell->center();
+ double radius = center.distance(cell->vertex(0));
+
+ static const SphericalManifold<dim,spacedim> manifold(cell->center());
+
+ triangulation.set_all_manifold_ids(0);
+ triangulation.set_manifold (0, manifold);
+
+ const QGauss<dim-1> face_quad(3);
+
+ const FE_Q<dim-1> face_fe_q(1);
+
+ // Compute the points with the faces
+ deallog << "Face quadratures ("
+ << face_quad.size() * GeometryInfo<dim>::faces_per_cell
+ << ")" << std::endl;
+
+ for(unsigned int f=0; f<GeometryInfo<dim>::faces_per_cell; ++f) {
+ std::vector<Point<spacedim> > vertices;
+ std::vector<double> weights(GeometryInfo<dim>::vertices_per_face);
+
+ for(unsigned int i=0; i<GeometryInfo<dim>::vertices_per_face; ++i)
+ vertices.push_back(cell->face(f)->vertex(i));
+
+ for (unsigned int i=0; i<face_quad.size(); ++i)
+ {
+ for(unsigned int v=0; v<weights.size(); ++v)
+ weights[v] = face_fe_q.shape_value(v, face_quad.point(i));
+
+ deallog << manifold.get_new_point(Quadrature<spacedim>(vertices, weights))
+ << std::endl;
+ }
+ }
+
+ // Project the face quads
+ Quadrature<dim> quad = QProjector<dim>::project_to_all_faces(face_quad);
+
+ deallog << "Face quadratures projected on cell "
+ << "(" << quad.size() << ")" << std::endl;
+
+ std::vector<Point<spacedim> > vertices;
+ for(unsigned int i=0; i<GeometryInfo<dim>::vertices_per_cell; ++i)
+ vertices.push_back(cell->vertex(i));
+
+ // Used to compute weights.
+ FE_Q<dim> fe_q(1);
+
+ std::vector<double> weights(GeometryInfo<dim>::vertices_per_cell);
+
+ for (unsigned int i=0; i<quad.size(); ++i)
+ {
+ for(unsigned int v=0; v<weights.size(); ++v)
+ weights[v] = fe_q.shape_value(v, quad.point(i));
+
+ deallog << manifold.get_new_point(Quadrature<spacedim>(vertices, weights))
+ << std::endl;
+ }
+
+ // for(unsigned int f=0; f<GeometryInfo<dim>::faces_per_cell; ++f) {
+ // std::vector<Point<spacedim> > vertices;
+ // std::vector<double> weights(GeometryInfo<dim>::vertices_per_face);
+
+ // for(unsigned int i=0; i<GeometryInfo<dim>::vertices_per_face; ++i)
+ // vertices.push_back(cell->face(f)->vertex(i));
+
+ // for (unsigned int i=0; i<face_quad.size(); ++i)
+ // {
+ // for(unsigned int v=0; v<weights.size(); ++v)
+ // weights[v] = face_fe_q.shape_value(v, face_quad.point(i));
+
+ // deallog << manifold.get_new_point(Quadrature<spacedim>(vertices, weights))
+ // << std::endl;
+ // }
+ // }
+}
+
+
+int
+main()
+{
+ std::ofstream logfile ("output");
+ deallog.attach(logfile);
+ deallog.threshold_double(1.e-10);
+
+ test<2,2>();
+ test<2,3>();
+
+ // stest<3,3>();
+
+ return 0;
+}
+
+
+
--- /dev/null
+
+DEAL::dim=2, spacedim=2
+DEAL::Face quadratures (12)
+DEAL::1.83952 2.19174
+DEAL::1.58579 3.00000
+DEAL::1.83952 3.80826
+DEAL::4.16048 2.19174
+DEAL::4.41421 3.00000
+DEAL::4.16048 3.80826
+DEAL::2.19174 1.83952
+DEAL::3.00000 1.58579
+DEAL::3.80826 1.83952
+DEAL::2.19174 4.16048
+DEAL::3.00000 4.41421
+DEAL::3.80826 4.16048
+DEAL::Face quadratures projected on cell (12)
+DEAL::1.83952 2.19174
+DEAL::1.58579 3.00000
+DEAL::1.83952 3.80826
+DEAL::4.16048 2.19174
+DEAL::4.41421 3.00000
+DEAL::4.16048 3.80826
+DEAL::2.19174 1.83952
+DEAL::3.00000 1.58579
+DEAL::3.80826 1.83952
+DEAL::2.19174 4.16048
+DEAL::3.00000 4.41421
+DEAL::3.80826 4.16048
+DEAL::dim=2, spacedim=3
+DEAL::Face quadratures (12)
+DEAL::1.88197 2.13397 0.00000
+DEAL::1.58579 3.00000 0.00000
+DEAL::1.88197 3.86603 0.00000
+DEAL::4.11803 2.13397 0.00000
+DEAL::4.41421 3.00000 0.00000
+DEAL::4.11803 3.86603 0.00000
+DEAL::2.13397 1.88197 0.00000
+DEAL::3.00000 1.58579 0.00000
+DEAL::3.86603 1.88197 0.00000
+DEAL::2.13397 4.11803 0.00000
+DEAL::3.00000 4.41421 0.00000
+DEAL::3.86603 4.11803 0.00000
+DEAL::Face quadratures projected on cell (12)
+DEAL::1.88197 2.13397 0.00000
+DEAL::1.58579 3.00000 0.00000
+DEAL::1.88197 3.86603 0.00000
+DEAL::4.11803 2.13397 0.00000
+DEAL::4.41421 3.00000 0.00000
+DEAL::4.11803 3.86603 0.00000
+DEAL::2.13397 1.88197 0.00000
+DEAL::3.00000 1.58579 0.00000
+DEAL::3.86603 1.88197 0.00000
+DEAL::2.13397 4.11803 0.00000
+DEAL::3.00000 4.41421 0.00000
+DEAL::3.86603 4.11803 0.00000