--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2020 - 2021 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.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+// Test ReferenceCell::volume(). Like the test without _q, but using
+// ReferenceCell::get_gauss_type_quadrature() instead.
+
+
+#include <deal.II/base/quadrature_lib.h>
+
+#include <deal.II/fe/fe_nothing.h>
+#include <deal.II/fe/fe_values.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/tria.h>
+
+#include "../tests.h"
+
+using namespace dealii;
+
+template <int dim>
+void
+test(const ReferenceCell &reference_cell)
+{
+ Triangulation<dim> triangulation;
+ GridGenerator::reference_cell(triangulation, reference_cell);
+
+ const Quadrature<dim> q = reference_cell.get_gauss_type_quadrature<dim>(2);
+ const FE_Nothing<dim> fe(reference_cell);
+
+ // Set up the objects to compute an integral on the reference cell
+ FEValues<dim> fe_values(fe, q, update_JxW_values);
+ fe_values.reinit(triangulation.begin_active());
+
+ double volume = 0;
+ for (unsigned int i = 0; i < q.size(); ++i)
+ volume += fe_values.JxW(i);
+
+ deallog << "ReferenceCell: " << reference_cell.to_string() << std::endl;
+ deallog << " computed volume = " << volume << std::endl;
+ deallog << " self-reported volume = " << reference_cell.volume()
+ << std::endl;
+
+ Assert(std::fabs(volume - reference_cell.volume()) < 1e-12,
+ ExcInternalError());
+}
+
+int
+main()
+{
+ initlog();
+
+ {
+ deallog.push("1D");
+ test<1>(ReferenceCells::Line);
+ deallog.pop();
+ }
+
+ {
+ deallog.push("2D");
+ test<2>(ReferenceCells::Quadrilateral);
+ test<2>(ReferenceCells::Triangle);
+ deallog.pop();
+ }
+
+ {
+ deallog.push("3D");
+ test<3>(ReferenceCells::Tetrahedron);
+ test<3>(ReferenceCells::Pyramid);
+ test<3>(ReferenceCells::Wedge);
+ test<3>(ReferenceCells::Hexahedron);
+ deallog.pop();
+ }
+}
--- /dev/null
+
+DEAL:1D::ReferenceCell: Line
+DEAL:1D:: computed volume = 1.00000
+DEAL:1D:: self-reported volume = 1.00000
+DEAL:2D::ReferenceCell: Quad
+DEAL:2D:: computed volume = 1.00000
+DEAL:2D:: self-reported volume = 1.00000
+DEAL:2D::ReferenceCell: Tri
+DEAL:2D:: computed volume = 0.500000
+DEAL:2D:: self-reported volume = 0.500000
+DEAL:3D::ReferenceCell: Tet
+DEAL:3D:: computed volume = 0.166667
+DEAL:3D:: self-reported volume = 0.166667
+DEAL:3D::ReferenceCell: Pyramid
+DEAL:3D:: computed volume = 1.33333
+DEAL:3D:: self-reported volume = 1.33333
+DEAL:3D::ReferenceCell: Wedge
+DEAL:3D:: computed volume = 0.500000
+DEAL:3D:: self-reported volume = 0.500000
+DEAL:3D::ReferenceCell: Hex
+DEAL:3D:: computed volume = 1.00000
+DEAL:3D:: self-reported volume = 1.00000
--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2020 - 2021 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.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+// Test ReferenceCell::barycenter(). Like the test without _q, but using
+// ReferenceCell::get_gauss_type_quadrature() instead.
+
+#include <deal.II/base/quadrature_lib.h>
+
+#include <deal.II/fe/fe_nothing.h>
+#include <deal.II/fe/fe_values.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/tria.h>
+
+#include "../tests.h"
+
+using namespace dealii;
+
+template <int dim>
+void
+test(const ReferenceCell &reference_cell)
+{
+ Triangulation<dim> triangulation;
+ GridGenerator::reference_cell(triangulation, reference_cell);
+
+ const Quadrature<dim> q = reference_cell.get_gauss_type_quadrature<dim>(2);
+ const FE_Nothing<dim> fe(reference_cell);
+
+ // Set up the objects to compute an integral on the reference cell
+ FEValues<dim> fe_values(fe, q, update_JxW_values | update_quadrature_points);
+ fe_values.reinit(triangulation.begin_active());
+
+ double volume = 0;
+ Point<dim> barycenter;
+ for (unsigned int i = 0; i < q.size(); ++i)
+ {
+ volume += fe_values.JxW(i);
+ barycenter += fe_values.quadrature_point(i) * fe_values.JxW(i);
+ }
+ barycenter /= volume;
+
+ deallog << "ReferenceCell: " << reference_cell.to_string() << std::endl;
+ deallog << " computed barycenter = " << barycenter << std::endl;
+ deallog << " self-reported barycenter = " << reference_cell.barycenter<dim>()
+ << std::endl;
+
+ Assert((barycenter - reference_cell.barycenter<dim>()).norm() <= 1e-12,
+ ExcInternalError());
+}
+
+int
+main()
+{
+ initlog();
+
+ {
+ deallog.push("1D");
+ test<1>(ReferenceCells::Line);
+ deallog.pop();
+ }
+
+ {
+ deallog.push("2D");
+ test<2>(ReferenceCells::Quadrilateral);
+ test<2>(ReferenceCells::Triangle);
+ deallog.pop();
+ }
+
+ {
+ deallog.push("3D");
+ test<3>(ReferenceCells::Tetrahedron);
+ test<3>(ReferenceCells::Pyramid);
+ test<3>(ReferenceCells::Wedge);
+ test<3>(ReferenceCells::Hexahedron);
+ deallog.pop();
+ }
+}
--- /dev/null
+
+DEAL:1D::ReferenceCell: Line
+DEAL:1D:: computed barycenter = 0.500000
+DEAL:1D:: self-reported barycenter = 0.500000
+DEAL:2D::ReferenceCell: Quad
+DEAL:2D:: computed barycenter = 0.500000 0.500000
+DEAL:2D:: self-reported barycenter = 0.500000 0.500000
+DEAL:2D::ReferenceCell: Tri
+DEAL:2D:: computed barycenter = 0.333333 0.333333
+DEAL:2D:: self-reported barycenter = 0.333333 0.333333
+DEAL:3D::ReferenceCell: Tet
+DEAL:3D:: computed barycenter = 0.250000 0.250000 0.250000
+DEAL:3D:: self-reported barycenter = 0.250000 0.250000 0.250000
+DEAL:3D::ReferenceCell: Pyramid
+DEAL:3D:: computed barycenter = 0 0 0.250000
+DEAL:3D:: self-reported barycenter = 0.00000 0.00000 0.250000
+DEAL:3D::ReferenceCell: Wedge
+DEAL:3D:: computed barycenter = 0.333333 0.333333 0.500000
+DEAL:3D:: self-reported barycenter = 0.333333 0.333333 0.500000
+DEAL:3D::ReferenceCell: Hex
+DEAL:3D:: computed barycenter = 0.500000 0.500000 0.500000
+DEAL:3D:: self-reported barycenter = 0.500000 0.500000 0.500000