// Copyright (c) 2010-2025, Lawrence Livermore National Security, LLC. Produced // at the Lawrence Livermore National Laboratory. All Rights reserved. See files // LICENSE and NOTICE for details. LLNL-CODE-806117. // // This file is part of the MFEM library. For more information and source code // availability visit https://mfem.org. // // MFEM is free software; you can redistribute it and/or modify it under the // terms of the BSD-3 license. We welcome feedback and contributions, see file // CONTRIBUTING.md for details. #include "mfem.hpp" #include "unit_tests.hpp" using namespace mfem; TEST_CASE("Element-wise construction", "[Mesh]") { SECTION("Quadrilateral") { const int numVertices = 9; const int numElements = 4; Mesh mesh(2, numVertices, numElements); // Add each vertex by coordinates for (int j=0; j<3; ++j) { for (int i=0; i<3; ++i) { mesh.AddVertex(i, j); } } // Add each element by vertices const int geom = Geometry::SQUARE; Array elvert(4); Element *el = mesh.NewElement(geom); elvert[0] = 0; elvert[1] = 1; elvert[2] = 4; elvert[3] = 3; el->SetVertices(elvert); REQUIRE(el->GetAttribute() == 1); mesh.AddElement(el); el = mesh.NewElement(geom); elvert[0] = 1; elvert[1] = 2; elvert[2] = 5; elvert[3] = 4; el->SetVertices(elvert); REQUIRE(el->GetAttribute() == 1); mesh.AddElement(el); el = mesh.NewElement(geom); elvert[0] = 3; elvert[1] = 4; elvert[2] = 7; elvert[3] = 6; el->SetVertices(elvert); REQUIRE(el->GetAttribute() == 1); mesh.AddElement(el); el = mesh.NewElement(geom); elvert[0] = 4; elvert[1] = 5; elvert[2] = 8; elvert[3] = 7; el->SetVertices(elvert); REQUIRE(el->GetAttribute() == 1); mesh.AddElement(el); mesh.FinalizeTopology(); REQUIRE(numVertices == mesh.GetNV()); REQUIRE(numElements == mesh.GetNE()); } } TEST_CASE("Gecko integration in MFEM", "[Mesh]") { Array perm; SECTION("Permutation from Gecko is valid") { Array elem_covered; SECTION("Hex meshes") { Mesh mesh = Mesh::MakeCartesian3D(3, 4, 5, Element::HEXAHEDRON); mesh.GetGeckoElementOrdering(perm); REQUIRE(perm.Size() == mesh.GetNE()); REQUIRE(perm.Min() == 0); REQUIRE(perm.Max() == mesh.GetNE() - 1); elem_covered.SetSize(perm.Size(), false); for (int i = 0; i < perm.Size(); ++i) { elem_covered[perm[i]] = true; } bool all_elems_covered = true; for (int i = 0; i < perm.Size(); ++i) { all_elems_covered &= elem_covered[i]; } REQUIRE(all_elems_covered); } SECTION("Tet meshes") { Mesh mesh = Mesh::MakeCartesian3D(5, 4, 3, Element::TETRAHEDRON); mesh.GetGeckoElementOrdering(perm); REQUIRE(perm.Size() == mesh.GetNE()); REQUIRE(perm.Min() == 0); REQUIRE(perm.Max() == mesh.GetNE() - 1); elem_covered.SetSize(perm.Size(), false); for (int i = 0; i < perm.Size(); ++i) { elem_covered[perm[i]] = true; } bool all_elems_covered = true; for (int i = 0; i < perm.Size(); ++i) { all_elems_covered &= elem_covered[i]; } REQUIRE(all_elems_covered); } } SECTION("Reorder preserves physical vertex locations") { Mesh mesh = Mesh::MakeCartesian3D(3, 4, 5, Element::HEXAHEDRON); Mesh mesh_reordered = Mesh::MakeCartesian3D(3, 4, 5, Element::HEXAHEDRON); mesh_reordered.GetGeckoElementOrdering(perm); mesh_reordered.ReorderElements(perm); for (int old_elid = 0; old_elid < perm.Size(); ++old_elid) { int new_elid = perm[old_elid]; Array old_dofs, new_dofs; mesh.GetElementVertices(old_elid, old_dofs); mesh_reordered.GetElementVertices(new_elid, new_dofs); for (int dofi = 0; dofi < old_dofs.Size(); ++dofi) { for (int d = 0; d < 3; ++d) { REQUIRE(mesh.GetVertex(old_dofs[dofi])[d] == mesh_reordered.GetVertex( new_dofs[dofi])[d]); } } } } } TEST_CASE("MakeSimplicial", "[Mesh]") { auto mesh_fname = GENERATE("../../data/star.mesh", "../../data/inline-quad.mesh", "../../data/inline-hex.mesh", "../../data/inline-wedge.mesh", "../../data/beam-wedge.mesh"); Mesh orig_mesh(mesh_fname, 1, 1); Mesh simplex_mesh = Mesh::MakeSimplicial(orig_mesh); Geometry::Type orig_geom = orig_mesh.GetTypicalElementGeometry(); int factor; switch (orig_geom) { case Geometry::SQUARE: factor = 2; break; case Geometry::PRISM: factor = 3; break; case Geometry::CUBE: factor = 6; break; default: factor = 1; } int dim = orig_mesh.Dimension(); Geometry::Type simplex_geom = (dim == 2) ? Geometry::TRIANGLE : Geometry::TETRAHEDRON; Array geoms; simplex_mesh.GetGeometries(simplex_mesh.Dimension(), geoms); REQUIRE(geoms.Size() == 1); REQUIRE(geoms[0] == simplex_geom); // Note: assuming no hex is subdivided into 5 tets. This can happen depending // on the original mesh, but it doesn't happen for these test cases. REQUIRE(simplex_mesh.GetNE() == orig_mesh.GetNE()*factor); } TEST_CASE("MakeNurbs", "[Mesh]") { Array intervals_array({1, 1, 1}); Vector intervals(intervals_array.GetData(), intervals_array.Size()); Array continuity({-1, 1, 1, -1}); { const KnotVector kv(2, intervals, continuity); REQUIRE(kv.GetNE() == 3); REQUIRE(kv.GetNCP() == 5); REQUIRE(kv.GetOrder() == 2); REQUIRE(kv.Size() == 8); } { const KnotVector kv(3, intervals, continuity); REQUIRE(kv.GetNE() == 3); REQUIRE(kv.GetNCP() == 8); REQUIRE(kv.GetOrder() == 3); REQUIRE(kv.Size() == 12); } const KnotVector kv(2, intervals, continuity); Array grev_pts({0.0, 1.0/6.0, 0.5, 5.0/6.0, 1.0}); Array patches; // Will build and test on multiple NURBS meshes. Cleans up and // resets the patches array, which is assumed to be initially // populated for the particular test case. const auto test_nurbs_extension = [&](Mesh& patch_topology) { NURBSExtension ne(&patch_topology, patches); Mesh mesh(ne); GridFunction *nodes = mesh.GetNodes(); REQUIRE(nodes != NULL); FiniteElementSpace *fe = nodes->FESpace(); REQUIRE(fe != NULL); SparseMatrix p(fe->GetNDofs(), fe->GetNDofs()); SparseMatrix r(fe->GetNDofs(), fe->GetNDofs()); for (int i = 0; i < fe->GetNDofs(); ++i) { p.Add(i, i, 1); r.Add(i, i, 1); } p.Finalize(); r.Finalize(); fe->SetProlongation(p); fe->SetRestriction(r); for (int i=0; i pts_2d(3 * kv.GetNCP() * kv.GetNCP()); int count = 0; for (int j = 0; j < kv.GetNCP(); ++j) for (int i = 0; i < kv.GetNCP(); ++i) { pts_2d[count + 0] = grev_pts[i]; pts_2d[count + 1] = grev_pts[j]; pts_2d[count + 2] = 1; count += 3; } patches.Append(new NURBSPatch(&kv, &kv, 3, pts_2d.GetData())); Mesh patch_topology_2d = Mesh::MakeCartesian2D(1, 1, Element::Type::QUADRILATERAL); test_nurbs_extension(patch_topology_2d); // Tri-variate 3D test: Array pts_3d(4 * kv.GetNCP() * kv.GetNCP() * kv.GetNCP()); count = 0; for (int k = 0; k < kv.GetNCP(); ++k) for (int j = 0; j < kv.GetNCP(); ++j) for (int i = 0; i < kv.GetNCP(); ++i) { pts_3d[count + 0] = grev_pts[i]; pts_3d[count + 1] = grev_pts[j]; pts_3d[count + 2] = grev_pts[k]; pts_3d[count + 3] = 1; count += 4; } patches.Append(new NURBSPatch(&kv, &kv, &kv, 4, pts_3d.GetData())); Mesh patch_topology_3d = Mesh::MakeCartesian3D(1, 1, 1, Element::Type::HEXAHEDRON); test_nurbs_extension(patch_topology_3d); }