Branch data Line data Source code
1 : : /* *****************************************************************
2 : : MESQUITE -- The Mesh Quality Improvement Toolkit
3 : :
4 : : Copyright 2006 Sandia National Laboratories. Developed at the
5 : : University of Wisconsin--Madison under SNL contract number
6 : : 624796. The U.S. Government and the University of Wisconsin
7 : : retain certain rights to this software.
8 : :
9 : : This library is free software; you can redistribute it and/or
10 : : modify it under the terms of the GNU Lesser General Public
11 : : License as published by the Free Software Foundation; either
12 : : version 2.1 of the License, or (at your option) any later version.
13 : :
14 : : This library is distributed in the hope that it will be useful,
15 : : but WITHOUT ANY WARRANTY; without even the implied warranty of
16 : : MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
17 : : Lesser General Public License for more details.
18 : :
19 : : You should have received a copy of the GNU Lesser General Public License
20 : : (lgpl.txt) along with this library; if not, write to the Free Software
21 : : Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
22 : :
23 : : (2006) [email protected]
24 : :
25 : : ***************************************************************** */
26 : :
27 : : /** \file IdealElements.cpp
28 : : * \brief
29 : : * \author Jason Kraftcheck
30 : : */
31 : :
32 : : #include "Mesquite.hpp"
33 : : #include "IdealElements.hpp"
34 : : #include "Vector3D.hpp"
35 : :
36 : : namespace MBMesquite
37 : : {
38 : :
39 : 31 : static Vector3D unit_quad[4] = { Vector3D( -0.5, -0.5, 0.0 ), Vector3D( 0.5, -0.5, 0.0 ), Vector3D( 0.5, 0.5, 0.0 ),
40 : 31 : Vector3D( -0.5, 0.5, 0.0 ) };
41 : :
42 : 31 : static Vector3D unit_hex[8] = { Vector3D( 0.5, -0.5, -0.5 ), Vector3D( 0.5, 0.5, -0.5 ), Vector3D( -0.5, 0.5, -0.5 ),
43 : : Vector3D( -0.5, -0.5, -0.5 ), Vector3D( 0.5, -0.5, 0.5 ), Vector3D( 0.5, 0.5, 0.5 ),
44 : 31 : Vector3D( -0.5, 0.5, 0.5 ), Vector3D( -0.5, -0.5, 0.5 ) };
45 : :
46 [ + + ]: 124 : static Vector3D unit_edge_tri[3];
47 [ + + ]: 155 : static Vector3D unit_edge_tet[4];
48 [ + + ]: 186 : static Vector3D unit_edge_pyr[5];
49 [ + + ]: 217 : static Vector3D unit_edge_wdg[6];
50 [ + + ]: 186 : static Vector3D unit_height_pyr[5];
51 : :
52 [ + + ]: 124 : static Vector3D unit_tri[3];
53 [ + + ]: 155 : static Vector3D unit_tet[4];
54 [ + + ]: 186 : static Vector3D unit_pyr[5];
55 [ + + ]: 217 : static Vector3D unit_wdg[6];
56 [ + + ]: 186 : static Vector3D unit_hex_pyr[5];
57 : :
58 : : static void init_tri( Vector3D* coords, double side );
59 : : static void init_tet( Vector3D* coords, double side );
60 : : static void init_pyr( Vector3D* coords, double side );
61 : : static void init_wdg( Vector3D* coords, double side );
62 : : static void init_hex_pyr( Vector3D* coords, double height );
63 : :
64 : : static const Vector3D* const* init_unit_edge( Vector3D** );
65 : : static const Vector3D* const* init_unit_elem( Vector3D** );
66 : :
67 : 0 : const Vector3D* unit_edge_element( EntityTopology ptype, bool punit_pyr )
68 : : {
69 : : static Vector3D* values[MIXED + 1];
70 [ # # ][ # # ]: 0 : static const Vector3D* const* data = init_unit_edge( values );
[ # # ][ # # ]
71 [ # # ][ # # ]: 0 : return ( ptype == PYRAMID && punit_pyr ) ? data[MIXED] : data[ptype];
72 : : }
73 : :
74 : 0 : const Vector3D* unit_element( EntityTopology ptype, bool punit_pyr )
75 : : {
76 : : static Vector3D* values[MIXED + 1];
77 [ # # ][ # # ]: 0 : static const Vector3D* const* data = init_unit_elem( values );
[ # # ][ # # ]
78 [ # # ][ # # ]: 0 : return ( ptype == PYRAMID && punit_pyr ) ? data[MIXED] : data[ptype];
79 : : }
80 : :
81 : 0 : static const Vector3D* const* init_unit_edge( Vector3D** ptr )
82 : : {
83 [ # # ]: 0 : for( unsigned i = 0; i < MIXED; ++i )
84 : 0 : ptr[i] = 0;
85 : :
86 : 0 : init_tri( unit_edge_tri, 1.0 );
87 : 0 : init_tet( unit_edge_tet, 1.0 );
88 : 0 : init_pyr( unit_edge_pyr, 1.0 );
89 : 0 : init_wdg( unit_edge_wdg, 1.0 );
90 : 0 : init_hex_pyr( unit_height_pyr, 1.0 );
91 : :
92 : 0 : ptr[TRIANGLE] = unit_edge_tri;
93 : 0 : ptr[QUADRILATERAL] = unit_quad;
94 : 0 : ptr[TETRAHEDRON] = unit_edge_tet;
95 : 0 : ptr[PYRAMID] = unit_edge_pyr;
96 : 0 : ptr[PRISM] = unit_edge_wdg;
97 : 0 : ptr[HEXAHEDRON] = unit_hex;
98 : 0 : ptr[MIXED] = unit_height_pyr;
99 : 0 : return ptr;
100 : : }
101 : :
102 : 0 : static const Vector3D* const* init_unit_elem( Vector3D** ptr )
103 : : {
104 [ # # ]: 0 : for( unsigned i = 0; i < MIXED; ++i )
105 : 0 : ptr[i] = 0;
106 : :
107 : 0 : init_tri( unit_tri, 2.0 * pow( 3.0, -0.25 ) );
108 : 0 : init_tet( unit_tet, MBMesquite::cbrt( 3.0 ) * sqrt( 2.0 ) );
109 : 0 : init_pyr( unit_pyr, pow( 18.0, 1.0 / 6.0 ) );
110 : 0 : init_wdg( unit_wdg, MBMesquite::cbrt( 4.0 ) * pow( 3.0, -1.0 / 6.0 ) );
111 : 0 : init_hex_pyr( unit_hex_pyr, MBMesquite::cbrt( 3.0 ) );
112 : :
113 : 0 : ptr[TRIANGLE] = unit_tri;
114 : 0 : ptr[QUADRILATERAL] = unit_quad;
115 : 0 : ptr[TETRAHEDRON] = unit_tet;
116 : 0 : ptr[PYRAMID] = unit_pyr;
117 : 0 : ptr[PRISM] = unit_wdg;
118 : 0 : ptr[HEXAHEDRON] = unit_hex;
119 : 0 : ptr[MIXED] = unit_hex_pyr;
120 : 0 : return ptr;
121 : : }
122 : :
123 : 0 : static void init_tri( Vector3D* coords, double side )
124 : : {
125 : 0 : const double third_height = side * sqrt( 3.0 ) / 6.0;
126 [ # # ]: 0 : coords[1] = Vector3D( -0.5 * side, -third_height, 0.0 );
127 [ # # ]: 0 : coords[2] = Vector3D( 0.5 * side, -third_height, 0.0 );
128 [ # # ]: 0 : coords[0] = Vector3D( 0.0, 2 * third_height, 0.0 );
129 : 0 : }
130 : :
131 : 0 : static void init_tet( Vector3D* coords, double side )
132 : : {
133 : 0 : const double height = side * sqrt( 2.0 / 3.0 );
134 : 0 : const double third_base = side * sqrt( 3.0 ) / 6.0;
135 [ # # ]: 0 : coords[0] = Vector3D( -0.5 * side, -third_base, -0.25 * height );
136 [ # # ]: 0 : coords[1] = Vector3D( 0.5 * side, -third_base, -0.25 * height );
137 [ # # ]: 0 : coords[2] = Vector3D( 0.0, 2 * third_base, -0.25 * height );
138 [ # # ]: 0 : coords[3] = Vector3D( 0.0, 0.0, 0.75 * height );
139 : 0 : }
140 : :
141 : 0 : static void init_pyr( Vector3D* coords, double side )
142 : : {
143 : 0 : const double height = side * sqrt( 2.0 ) * 0.5;
144 [ # # ]: 0 : coords[0] = Vector3D( 0.5 * side, -0.5 * side, -0.25 * height );
145 [ # # ]: 0 : coords[1] = Vector3D( 0.5 * side, 0.5 * side, -0.25 * height );
146 [ # # ]: 0 : coords[2] = Vector3D( -0.5 * side, 0.5 * side, -0.25 * height );
147 [ # # ]: 0 : coords[3] = Vector3D( -0.5 * side, -0.5 * side, -0.25 * height );
148 [ # # ]: 0 : coords[4] = Vector3D( 0.0, 0.0, 0.75 * height );
149 : 0 : }
150 : :
151 : 0 : static void init_wdg( Vector3D* coords, double side )
152 : : {
153 : 0 : const double third_height = side * sqrt( 3.0 ) / 6.0;
154 [ # # ]: 0 : coords[0] = Vector3D( -0.5 * side, -third_height, -0.5 * side );
155 [ # # ]: 0 : coords[1] = Vector3D( 0.5 * side, -third_height, -0.5 * side );
156 [ # # ]: 0 : coords[2] = Vector3D( 0.0, 2 * third_height, -0.5 * side );
157 [ # # ]: 0 : coords[3] = Vector3D( -0.5 * side, -third_height, 0.5 * side );
158 [ # # ]: 0 : coords[4] = Vector3D( 0.5 * side, -third_height, 0.5 * side );
159 [ # # ]: 0 : coords[5] = Vector3D( 0.0, 2 * third_height, 0.5 * side );
160 : 0 : }
161 : :
162 : 0 : static void init_hex_pyr( Vector3D* coords, double side )
163 : : {
164 [ # # ]: 0 : coords[0] = Vector3D( 0.5 * side, -0.5 * side, -0.25 * side );
165 [ # # ]: 0 : coords[1] = Vector3D( 0.5 * side, 0.5 * side, -0.25 * side );
166 [ # # ]: 0 : coords[2] = Vector3D( -0.5 * side, 0.5 * side, -0.25 * side );
167 [ # # ]: 0 : coords[3] = Vector3D( -0.5 * side, -0.5 * side, -0.25 * side );
168 [ # # ]: 0 : coords[4] = Vector3D( 0.0, 0.0, 0.75 * side );
169 : 0 : }
170 : :
171 [ + - ][ + - ]: 124 : } // namespace MBMesquite
|
