--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2018 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+#include "../tests.h"
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/lac/vector.h>
+#include <deal.II/grid/tria.h>
+#include <deal.II/grid/tria_iterator.h>
+#include <deal.II/dofs/dof_accessor.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_out.h>
+#include <deal.II/grid/grid_tools.h>
+#include <deal.II/grid/manifold_lib.h>
+#include <deal.II/fe/mapping_cartesian.h>
+#include <deal.II/fe/mapping_q1.h>
+#include <deal.II/fe/mapping_q_eulerian.h>
+#include <deal.II/fe/mapping_fe_field.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_values.h>
+#include <deal.II/fe/fe.h>
+#include <deal.II/fe/fe_bernstein.h>
+#include <deal.II/fe/fe_system.h>
+#include <deal.II/numerics/vector_tools.h>
+
+#include <vector>
+#include <string>
+#include <sstream>
+
+#define PRECISION 2
+
+template <int dim, int spacedim>
+void test(const unsigned int degree)
+{
+ deallog << "dim = " << dim << ", spacedim = " << spacedim << std::endl;
+ deallog << "degree = " << degree << std::endl;
+
+ Triangulation<dim,spacedim> tria;
+ GridGenerator::hyper_cube(tria, 0., 1.);
+ tria.refine_global (1);
+ tria.begin_active()->set_refine_flag();
+ tria.execute_coarsening_and_refinement();
+
+ FE_Q<dim,spacedim> fe(degree);
+ FESystem<dim,spacedim> fe_sys(fe, spacedim);
+
+ DoFHandler<dim,spacedim> dof_sys(tria);
+ dof_sys.distribute_dofs(fe_sys);
+
+ Vector<double> euler;
+ euler.reinit(dof_sys.n_dofs());
+ const ComponentMask mask(spacedim, true);
+
+ VectorTools::get_position_vector(dof_sys, euler, mask);
+
+ // By using MappingQEulerian with the position vector, we are making everything
+ // bigger by a factor 2.
+ MappingQEulerian<dim,Vector<double>, spacedim> map_fe(degree, dof_sys, euler);
+
+ deallog << "Min diameter : " << GridTools::minimal_cell_diameter(tria) << std::endl
+ << "Max diameter : " << GridTools::maximal_cell_diameter(tria) << std::endl
+ << "Min mapped diameter : " << GridTools::minimal_cell_diameter(tria,map_fe) << std::endl
+ << "Max mapped diameter : " << GridTools::maximal_cell_diameter(tria,map_fe) << std::endl;
+}
+
+int main()
+{
+ initlog();
+
+ for (unsigned int d=1; d<4; ++d)
+ {
+ test<2,2>(d);
+ test<2,3>(d);
+ test<3,3>(d);
+ }
+}
--- /dev/null
+
+DEAL::dim = 2, spacedim = 2
+DEAL::degree = 1
+DEAL::Min diameter : 0.353553
+DEAL::Max diameter : 0.707107
+DEAL::Min mapped diameter : 0.707107
+DEAL::Max mapped diameter : 1.41421
+DEAL::dim = 2, spacedim = 3
+DEAL::degree = 1
+DEAL::Min diameter : 0.353553
+DEAL::Max diameter : 0.707107
+DEAL::Min mapped diameter : 0.707107
+DEAL::Max mapped diameter : 1.41421
+DEAL::dim = 3, spacedim = 3
+DEAL::degree = 1
+DEAL::Min diameter : 0.433013
+DEAL::Max diameter : 0.866025
+DEAL::Min mapped diameter : 0.866025
+DEAL::Max mapped diameter : 1.73205
+DEAL::dim = 2, spacedim = 2
+DEAL::degree = 2
+DEAL::Min diameter : 0.353553
+DEAL::Max diameter : 0.707107
+DEAL::Min mapped diameter : 0.707107
+DEAL::Max mapped diameter : 1.41421
+DEAL::dim = 2, spacedim = 3
+DEAL::degree = 2
+DEAL::Min diameter : 0.353553
+DEAL::Max diameter : 0.707107
+DEAL::Min mapped diameter : 0.707107
+DEAL::Max mapped diameter : 1.41421
+DEAL::dim = 3, spacedim = 3
+DEAL::degree = 2
+DEAL::Min diameter : 0.433013
+DEAL::Max diameter : 0.866025
+DEAL::Min mapped diameter : 0.866025
+DEAL::Max mapped diameter : 1.73205
+DEAL::dim = 2, spacedim = 2
+DEAL::degree = 3
+DEAL::Min diameter : 0.353553
+DEAL::Max diameter : 0.707107
+DEAL::Min mapped diameter : 0.707107
+DEAL::Max mapped diameter : 1.41421
+DEAL::dim = 2, spacedim = 3
+DEAL::degree = 3
+DEAL::Min diameter : 0.353553
+DEAL::Max diameter : 0.707107
+DEAL::Min mapped diameter : 0.707107
+DEAL::Max mapped diameter : 1.41421
+DEAL::dim = 3, spacedim = 3
+DEAL::degree = 3
+DEAL::Min diameter : 0.433013
+DEAL::Max diameter : 0.866025
+DEAL::Min mapped diameter : 0.866025
+DEAL::Max mapped diameter : 1.73205