--- /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.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+// similar to utilities_14, test
+// Utilities::inverse_Hilbert_space_filling_curve in 3D for point on the planes
+// with bits=2.
+// the test output is made to be exactly the same as utilities_14
+
+// 3 | 5---6 9---10
+// | | | | |
+// 2 | 4 7---8 11
+// | | |
+// 1 | 3---2 13--12
+// | | |
+// 0 | 0---1 14--15
+// |
+// ------------------
+// 0 1 2 3
+
+#include <deal.II/base/utilities.h>
+
+#include "../tests.h"
+
+
+void
+test(const unsigned int plane = 1)
+{
+ Assert(plane < 3, ExcInternalError());
+ const std::vector<Point<2>> points = {Point<2>(0, 0),
+ Point<2>(1, 0),
+ Point<2>(1, 1),
+ Point<2>(0, 1),
+ Point<2>(0, 2),
+ Point<2>(0, 3),
+ Point<2>(1, 3),
+ Point<2>(1, 2),
+ Point<2>(2, 2),
+ Point<2>(2, 3),
+ Point<2>(3, 3),
+ Point<2>(3, 2),
+ Point<2>(3, 1),
+ Point<2>(2, 1),
+ Point<2>(2, 0),
+ Point<2>(3, 0)};
+
+ std::vector<Point<3>> points_degenerate(points.size());
+ for (unsigned int i = 0; i < points.size(); ++i)
+ {
+ unsigned int eff_d = 0;
+ for (unsigned int d = 0; d < 3; ++d)
+ if (d != plane)
+ {
+ points_degenerate[i][d] = points[i][eff_d];
+ ++eff_d;
+ }
+ }
+
+
+ const int bit_depth = 2;
+ const auto res =
+ Utilities::inverse_Hilbert_space_filling_curve(points_degenerate,
+ bit_depth);
+
+ deallog << plane << ":" << std::endl;
+ for (const auto &p : res)
+ {
+ AssertThrow(p[0] == 0, ExcInternalError());
+ deallog << p[1] << " " << p[2] << " "
+ << Utilities::pack_integers<3>(p, bit_depth) << std::endl;
+ }
+ deallog << std::endl;
+}
+
+int
+main()
+{
+ initlog();
+
+ test(0);
+ test(1);
+ test(2);
+}
--- /dev/null
+
+DEAL::0:
+DEAL::0 0 0
+DEAL::0 1 1
+DEAL::0 2 2
+DEAL::0 3 3
+DEAL::1 0 4
+DEAL::1 1 5
+DEAL::1 2 6
+DEAL::1 3 7
+DEAL::2 0 8
+DEAL::2 1 9
+DEAL::2 2 10
+DEAL::2 3 11
+DEAL::3 0 12
+DEAL::3 1 13
+DEAL::3 2 14
+DEAL::3 3 15
+DEAL::
+DEAL::1:
+DEAL::0 0 0
+DEAL::0 1 1
+DEAL::0 2 2
+DEAL::0 3 3
+DEAL::1 0 4
+DEAL::1 1 5
+DEAL::1 2 6
+DEAL::1 3 7
+DEAL::2 0 8
+DEAL::2 1 9
+DEAL::2 2 10
+DEAL::2 3 11
+DEAL::3 0 12
+DEAL::3 1 13
+DEAL::3 2 14
+DEAL::3 3 15
+DEAL::
+DEAL::2:
+DEAL::0 0 0
+DEAL::0 1 1
+DEAL::0 2 2
+DEAL::0 3 3
+DEAL::1 0 4
+DEAL::1 1 5
+DEAL::1 2 6
+DEAL::1 3 7
+DEAL::2 0 8
+DEAL::2 1 9
+DEAL::2 2 10
+DEAL::2 3 11
+DEAL::3 0 12
+DEAL::3 1 13
+DEAL::3 2 14
+DEAL::3 3 15
+DEAL::
--- /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.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+// test Utilities::inverse_Hilbert_space_filling_curve in (effectively) 1D
+// take utilities_16 input and put on a coordinate line in 3D.
+// output is made exactly the same as in utilities_16
+
+#include <deal.II/base/utilities.h>
+
+#include "../tests.h"
+
+
+void
+test(unsigned int plane = 1)
+{
+ Assert(plane < 3, ExcInternalError());
+ const std::vector<Point<1>> points = {
+ Point<1>(1), Point<1>(0), Point<1>(13), Point<1>(-2), Point<1>(22)};
+
+ std::vector<Point<3>> points_degenerate(points.size());
+ for (unsigned int i = 0; i < points.size(); ++i)
+ points_degenerate[i][plane] = points[i][0];
+
+ const int bit_depth = 5;
+ const auto res =
+ Utilities::inverse_Hilbert_space_filling_curve(points_degenerate,
+ bit_depth);
+
+ std::vector<unsigned int> index(points.size());
+ for (unsigned int i = 0; i < index.size(); ++i)
+ index[i] = i;
+
+ std::sort(index.begin(),
+ index.end(),
+ [&](const unsigned int &a, const unsigned int &b) {
+ AssertIndexRange(a, res.size());
+ AssertIndexRange(b, res.size());
+ return std::lexicographical_compare(res[a].begin(),
+ res[a].end(),
+ res[b].begin(),
+ res[b].end());
+ });
+
+ deallog << plane << ":" << std::endl;
+ for (const auto ind : index)
+ {
+ AssertThrow(res[ind][0] == 0, ExcInternalError());
+ AssertThrow(res[ind][1] == 0, ExcInternalError());
+ deallog << points[ind][0] << std::endl;
+ }
+ deallog << std::endl;
+}
+
+int
+main()
+{
+ initlog();
+
+ test(0);
+ test(1);
+ test(2);
+}
--- /dev/null
+
+DEAL::0:
+DEAL::-2.00000
+DEAL::0.00000
+DEAL::1.00000
+DEAL::13.0000
+DEAL::22.0000
+DEAL::
+DEAL::1:
+DEAL::-2.00000
+DEAL::0.00000
+DEAL::1.00000
+DEAL::13.0000
+DEAL::22.0000
+DEAL::
+DEAL::2:
+DEAL::-2.00000
+DEAL::0.00000
+DEAL::1.00000
+DEAL::13.0000
+DEAL::22.0000
+DEAL::
--- /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.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+// test Utilities::inverse_Hilbert_space_filling_curve with
+// effective dimension == 0
+
+#include <deal.II/base/utilities.h>
+
+#include "../tests.h"
+
+
+template <int dim>
+void
+test()
+{
+ deallog << "dim=" << dim << std::endl;
+ const std::vector<Point<dim>> points_degenerate = {Point<dim>(),
+ Point<dim>(),
+ Point<dim>()};
+
+ const int bit_depth = 5;
+ const auto res =
+ Utilities::inverse_Hilbert_space_filling_curve(points_degenerate,
+ bit_depth);
+
+ for (unsigned int i = 0; i < res.size(); ++i)
+ {
+ for (unsigned int d = 0; d < dim; ++d)
+ deallog << " " << res[i][d];
+
+ deallog << std::endl;
+ }
+}
+
+int
+main()
+{
+ initlog();
+
+ test<1>();
+ test<2>();
+ test<3>();
+}
--- /dev/null
+
+DEAL::dim=1
+DEAL:: 0
+DEAL:: 1
+DEAL:: 2
+DEAL::dim=2
+DEAL:: 0 0
+DEAL:: 0 1
+DEAL:: 0 2
+DEAL::dim=3
+DEAL:: 0 0 0
+DEAL:: 0 0 1
+DEAL:: 0 0 2