Nektar++
TestGetCoords.cpp
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1///////////////////////////////////////////////////////////////////////////////
2//
3// File: TestGetCoords.cpp
4//
5// For more information, please see: http://www.nektar.info
6//
7// The MIT License
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9// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
10// Department of Aeronautics, Imperial College London (UK), and Scientific
11// Computing and Imaging Institute, University of Utah (USA).
12//
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30//
31// Description:
32//
33///////////////////////////////////////////////////////////////////////////////
34
35#include <LocalRegions/HexExp.h>
36#include <SpatialDomains/MeshGraph.h>
37#include <boost/test/tools/floating_point_comparison.hpp>
38#include <boost/test/unit_test.hpp>
39
40namespace Nektar::HexExpTests
41{
42SpatialDomains::SegGeomSharedPtr CreateSegGeom(
43 unsigned int id, SpatialDomains::PointGeomSharedPtr v0,
44 SpatialDomains::PointGeomSharedPtr v1)
45{
46 SpatialDomains::PointGeomSharedPtr vertices[] = {v0, v1};
47 SpatialDomains::SegGeomSharedPtr result(
48 new SpatialDomains::SegGeom(id, 3, vertices));
49 return result;
50}
51
52SpatialDomains::HexGeomSharedPtr CreateHex(
53 SpatialDomains::PointGeomSharedPtr v0,
54 SpatialDomains::PointGeomSharedPtr v1,
55 SpatialDomains::PointGeomSharedPtr v2,
56 SpatialDomains::PointGeomSharedPtr v3,
57 SpatialDomains::PointGeomSharedPtr v4,
58 SpatialDomains::PointGeomSharedPtr v5,
59 SpatialDomains::PointGeomSharedPtr v6,
60 SpatialDomains::PointGeomSharedPtr v7)
61{
62 Nektar::SpatialDomains::SegGeomSharedPtr e0 = CreateSegGeom(0, v0, v1);
63 Nektar::SpatialDomains::SegGeomSharedPtr e1 = CreateSegGeom(1, v1, v2);
64 Nektar::SpatialDomains::SegGeomSharedPtr e2 = CreateSegGeom(2, v2, v3);
65 Nektar::SpatialDomains::SegGeomSharedPtr e3 = CreateSegGeom(3, v3, v0);
66 Nektar::SpatialDomains::SegGeomSharedPtr e4 = CreateSegGeom(4, v0, v4);
67 Nektar::SpatialDomains::SegGeomSharedPtr e5 = CreateSegGeom(5, v1, v5);
68 Nektar::SpatialDomains::SegGeomSharedPtr e6 = CreateSegGeom(6, v2, v6);
69 Nektar::SpatialDomains::SegGeomSharedPtr e7 = CreateSegGeom(7, v3, v7);
70 Nektar::SpatialDomains::SegGeomSharedPtr e8 = CreateSegGeom(8, v4, v5);
71 Nektar::SpatialDomains::SegGeomSharedPtr e9 = CreateSegGeom(9, v5, v6);
72 Nektar::SpatialDomains::SegGeomSharedPtr e10 = CreateSegGeom(10, v6, v7);
73 Nektar::SpatialDomains::SegGeomSharedPtr e11 = CreateSegGeom(11, v4, v7);
74
75 Nektar::SpatialDomains::SegGeomSharedPtr
76 edgesF0[Nektar::SpatialDomains::QuadGeom::kNedges] = {e0, e1, e2, e3};
77 Nektar::SpatialDomains::SegGeomSharedPtr
78 edgesF1[Nektar::SpatialDomains::QuadGeom::kNedges] = {e0, e5, e8, e4};
79 Nektar::SpatialDomains::SegGeomSharedPtr
80 edgesF2[Nektar::SpatialDomains::QuadGeom::kNedges] = {e1, e6, e9, e5};
81 Nektar::SpatialDomains::SegGeomSharedPtr
82 edgesF3[Nektar::SpatialDomains::QuadGeom::kNedges] = {e2, e6, e10, e7};
83 Nektar::SpatialDomains::SegGeomSharedPtr
84 edgesF4[Nektar::SpatialDomains::QuadGeom::kNedges] = {e3, e7, e11, e4};
85 Nektar::SpatialDomains::SegGeomSharedPtr
86 edgesF5[Nektar::SpatialDomains::QuadGeom::kNedges] = {e8, e9, e10, e11};
87
88 Nektar::SpatialDomains::QuadGeomSharedPtr face0(
89 new SpatialDomains::QuadGeom(0, edgesF0));
90 Nektar::SpatialDomains::QuadGeomSharedPtr face1(
91 new SpatialDomains::QuadGeom(1, edgesF1));
92 Nektar::SpatialDomains::QuadGeomSharedPtr face2(
93 new SpatialDomains::QuadGeom(2, edgesF2));
94 Nektar::SpatialDomains::QuadGeomSharedPtr face3(
95 new SpatialDomains::QuadGeom(3, edgesF3));
96 Nektar::SpatialDomains::QuadGeomSharedPtr face4(
97 new SpatialDomains::QuadGeom(4, edgesF4));
98 Nektar::SpatialDomains::QuadGeomSharedPtr face5(
99 new SpatialDomains::QuadGeom(5, edgesF5));
100
101 Nektar::SpatialDomains::QuadGeomSharedPtr qfaces[] = {face0, face1, face2,
102 face3, face4, face5};
103 SpatialDomains::HexGeomSharedPtr hexGeom(
104 new SpatialDomains::HexGeom(0, qfaces));
105 return hexGeom;
106}
107
108BOOST_AUTO_TEST_CASE(TestHexExpThatIsStdRegion)
109{
110 SpatialDomains::PointGeomSharedPtr v0(
111 new SpatialDomains::PointGeom(3u, 0u, -1.0, -1.0, -1.0));
112 SpatialDomains::PointGeomSharedPtr v1(
113 new SpatialDomains::PointGeom(3u, 1u, 1.0, -1.0, -1.0));
114 SpatialDomains::PointGeomSharedPtr v2(
115 new SpatialDomains::PointGeom(3u, 2u, 1.0, 1.0, -1.0));
116 SpatialDomains::PointGeomSharedPtr v3(
117 new SpatialDomains::PointGeom(3u, 3u, -1.0, 1.0, -1.0));
118 SpatialDomains::PointGeomSharedPtr v4(
119 new SpatialDomains::PointGeom(3u, 4u, -1.0, -1.0, 1.0));
120 SpatialDomains::PointGeomSharedPtr v5(
121 new SpatialDomains::PointGeom(3u, 5u, 1.0, -1.0, 1.0));
122 SpatialDomains::PointGeomSharedPtr v6(
123 new SpatialDomains::PointGeom(3u, 6u, 1.0, 1.0, 1.0));
124 SpatialDomains::PointGeomSharedPtr v7(
125 new SpatialDomains::PointGeom(3u, 7u, -1.0, 1.0, 1.0));
126
127 SpatialDomains::HexGeomSharedPtr hexGeom =
128 CreateHex(v0, v1, v2, v3, v4, v5, v6, v7);
129
130 Nektar::LibUtilities::PointsType quadPointsTypeDir1 =
131 Nektar::LibUtilities::eGaussLobattoLegendre;
132 Nektar::LibUtilities::BasisType basisTypeDir1 =
133 Nektar::LibUtilities::eModified_A;
134 unsigned int numQuadPoints = 6;
135 const Nektar::LibUtilities::PointsKey quadPointsKeyDir1(numQuadPoints,
136 quadPointsTypeDir1);
137 const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
138 quadPointsKeyDir1);
139
140 Nektar::LocalRegions::HexExpSharedPtr hexExp =
141 MemoryManager<Nektar::LocalRegions::HexExp>::AllocateSharedPtr(
142 basisKeyDir1, basisKeyDir1, basisKeyDir1, hexGeom);
143
144 Array<OneD, NekDouble> c0 = Array<OneD, NekDouble>(hexExp->GetTotPoints());
145 Array<OneD, NekDouble> c1 = Array<OneD, NekDouble>(hexExp->GetTotPoints());
146 Array<OneD, NekDouble> c2 = Array<OneD, NekDouble>(hexExp->GetTotPoints());
147 hexExp->GetCoords(c0, c1, c2);
148 std::shared_ptr<StdRegions::StdHexExp> stdHex =
149 std::dynamic_pointer_cast<StdRegions::StdHexExp>(hexExp);
150 stdHex->GetCoords(c0, c1, c2);
151 double epsilon = 1.0e-8;
152 BOOST_CHECK_CLOSE(c0[0], -1.0, epsilon);
153 BOOST_CHECK_CLOSE(c0[1], -0.76505532392946474, epsilon);
154 BOOST_CHECK_CLOSE(c0[2], -0.28523151648064510, epsilon);
155 BOOST_CHECK_CLOSE(c0[3], 0.28523151648064510, epsilon);
156 BOOST_CHECK_CLOSE(c0[4], 0.76505532392946474, epsilon);
157 BOOST_CHECK_CLOSE(c0[5], 1.0, epsilon);
158}
159
160BOOST_AUTO_TEST_CASE(TestScaledAndTranslatedHexExp)
161{
162 SpatialDomains::PointGeomSharedPtr v0(
163 new SpatialDomains::PointGeom(3u, 0u, 0.0, 0.0, 0.0));
164 SpatialDomains::PointGeomSharedPtr v1(
165 new SpatialDomains::PointGeom(3u, 1u, 0.5, 0.0, 0.0));
166 SpatialDomains::PointGeomSharedPtr v2(
167 new SpatialDomains::PointGeom(3u, 2u, 0.5, 0.5, 0.0));
168 SpatialDomains::PointGeomSharedPtr v3(
169 new SpatialDomains::PointGeom(3u, 3u, 0.0, 0.5, 0.0));
170 SpatialDomains::PointGeomSharedPtr v4(
171 new SpatialDomains::PointGeom(3u, 4u, 0.0, 0.0, 0.5));
172 SpatialDomains::PointGeomSharedPtr v5(
173 new SpatialDomains::PointGeom(3u, 5u, 0.5, 0.0, 0.5));
174 SpatialDomains::PointGeomSharedPtr v6(
175 new SpatialDomains::PointGeom(3u, 6u, 0.5, 0.5, 0.5));
176 SpatialDomains::PointGeomSharedPtr v7(
177 new SpatialDomains::PointGeom(3u, 7u, 0.0, 0.5, 0.5));
178
179 SpatialDomains::HexGeomSharedPtr hexGeom =
180 CreateHex(v0, v1, v2, v3, v4, v5, v6, v7);
181
182 Nektar::LibUtilities::PointsType quadPointsTypeDir1 =
183 Nektar::LibUtilities::eGaussLobattoLegendre;
184 Nektar::LibUtilities::BasisType basisTypeDir1 =
185 Nektar::LibUtilities::eModified_A;
186 unsigned int numQuadPoints = 6;
187 const Nektar::LibUtilities::PointsKey quadPointsKeyDir1(numQuadPoints,
188 quadPointsTypeDir1);
189 const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
190 quadPointsKeyDir1);
191
192 Nektar::LocalRegions::HexExpSharedPtr hexExp =
193 MemoryManager<Nektar::LocalRegions::HexExp>::AllocateSharedPtr(
194 basisKeyDir1, basisKeyDir1, basisKeyDir1, hexGeom);
195
196 Array<OneD, NekDouble> c0 = Array<OneD, NekDouble>(hexExp->GetTotPoints());
197 Array<OneD, NekDouble> c1 = Array<OneD, NekDouble>(hexExp->GetTotPoints());
198 Array<OneD, NekDouble> c2 = Array<OneD, NekDouble>(hexExp->GetTotPoints());
199 hexExp->GetCoords(c0, c1, c2);
200
201 double epsilon = 1.0e-8;
202 BOOST_CHECK_EQUAL(c0[0], 0.0);
203 BOOST_CHECK_CLOSE(c0[1], .05873616902, epsilon);
204 BOOST_CHECK_CLOSE(c0[2], .17869212088, epsilon);
205 BOOST_CHECK_CLOSE(c0[3], .32130787912, epsilon);
206 BOOST_CHECK_CLOSE(c0[4], .44126383098, epsilon);
207 BOOST_CHECK_CLOSE(c0[5], .5, epsilon);
208}
209} // namespace Nektar::HexExpTests
Nektar::LibUtilities::BasisKey
Describes the specification for a Basis.
Definition: Basis.h:45
Nektar::LibUtilities::PointsKey
Defines a specification for a set of points.
Definition: Points.h:50
Nektar::MemoryManager::AllocateSharedPtr
static std::shared_ptr< DataType > AllocateSharedPtr(const Args &...args)
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:166
Nektar::SpatialDomains::QuadGeom::kNedges
static const int kNedges
Definition: QuadGeom.h:74
Nektar::HexExpTests::CreateHex
SpatialDomains::HexGeomSharedPtr CreateHex(SpatialDomains::PointGeomSharedPtr v0, SpatialDomains::PointGeomSharedPtr v1, SpatialDomains::PointGeomSharedPtr v2, SpatialDomains::PointGeomSharedPtr v3, SpatialDomains::PointGeomSharedPtr v4, SpatialDomains::PointGeomSharedPtr v5, SpatialDomains::PointGeomSharedPtr v6, SpatialDomains::PointGeomSharedPtr v7)
Definition: TestGetCoords.cpp:52
Nektar::HexExpTests::CreateSegGeom
SpatialDomains::SegGeomSharedPtr CreateSegGeom(unsigned int id, SpatialDomains::PointGeomSharedPtr v0, SpatialDomains::PointGeomSharedPtr v1)
Definition: TestGetCoords.cpp:42
Nektar::HexExpTests::BOOST_AUTO_TEST_CASE
BOOST_AUTO_TEST_CASE(TestHexExpThatIsStdRegion)
Definition: TestGetCoords.cpp:108
Nektar::LibUtilities::eGaussLobattoLegendre
@ eGaussLobattoLegendre
1D Gauss-Lobatto-Legendre quadrature points
Definition: PointsType.h:51
Nektar::LibUtilities::eModified_A
@ eModified_A
Principle Modified Functions .
Definition: BasisType.h:48
Nektar::LocalRegions::HexExpSharedPtr
std::shared_ptr< HexExp > HexExpSharedPtr
Definition: HexExp.h:258
Nektar::SpatialDomains::QuadGeomSharedPtr
std::shared_ptr< QuadGeom > QuadGeomSharedPtr
Definition: HexGeom.h:45
Nektar::SpatialDomains::HexGeomSharedPtr
std::shared_ptr< HexGeom > HexGeomSharedPtr
Definition: HexGeom.h:84
Nektar::SpatialDomains::SegGeomSharedPtr
std::shared_ptr< SegGeom > SegGeomSharedPtr
Definition: Geometry2D.h:59
Nektar::SpatialDomains::PointGeomSharedPtr
std::shared_ptr< PointGeom > PointGeomSharedPtr
Definition: Geometry.h:57
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