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number_lookups.C
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1// The libMesh Finite Element Library.
2// Copyright (C) 2002-2026 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner
3
4// This library is free software; you can redistribute it and/or
5// modify it under the terms of the GNU Lesser General Public
6// License as published by the Free Software Foundation; either
7// version 2.1 of the License, or (at your option) any later version.
8
9// This library is distributed in the hope that it will be useful,
10// but WITHOUT ANY WARRANTY; without even the implied warranty of
11// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
12// Lesser General Public License for more details.
13
14// You should have received a copy of the GNU Lesser General Public
15// License along with this library; if not, write to the Free Software
16// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
17
18
19// Local includes
20#include "libmesh/number_lookups.h"
21
22namespace libMesh
23{
24
25// These numbers need to go up to at least maximum_totalorder - 2
26
27// triangular_number_*: indices for triangle interiors
28const unsigned char triangular_number_row[] = {
29 0,
30 1, 1,
31 2, 2, 2,
32 3, 3, 3, 3,
33 4, 4, 4, 4, 4,
34 5, 5, 5, 5, 5, 5,
35 6, 6, 6, 6, 6, 6, 6,
36 7, 7, 7, 7, 7, 7, 7, 7,
37 8, 8, 8, 8, 8, 8, 8, 8, 8,
38 9, 9, 9, 9, 9, 9, 9, 9, 9, 9
39};
40
41const unsigned char triangular_number_column[] = {
42 0,
43 0, 1,
44 0, 1, 2,
45 0, 1, 2, 3,
46 0, 1, 2, 3, 4,
47 0, 1, 2, 3, 4, 5,
48 0, 1, 2, 3, 4, 5, 6,
49 0, 1, 2, 3, 4, 5, 6, 7,
50 0, 1, 2, 3, 4, 5, 6, 7, 8,
51 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
52};
53
54
55// square_number_*: indices for square interiors, cube faces
56const unsigned char square_number_column[] = {
57 0,
58 0, 1, 1,
59 0, 1, 2, 2, 2,
60 0, 1, 2, 3, 3, 3, 3,
61 0, 1, 2, 3, 4, 4, 4, 4, 4,
62 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
63 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
64 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
65 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
66 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9
67};
68
69const unsigned char square_number_row[] = {
70 0,
71 1, 1, 0,
72 2, 2, 2, 1, 0,
73 3, 3, 3, 3, 2, 1, 0,
74 4, 4, 4, 4, 4, 3, 2, 1, 0,
75 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
76 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
77 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
78 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
79 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
80};
81
82
83// cube_number_*: indices for cube interiors
84const unsigned char cube_number_column[] = {
85 0,
86
87 0, 1, 1,
88 0, 1, 1,
89 0,
90
91 0, 1, 2, 2, 2,
92 0, 1, 2, 2, 2,
93 0, 1, 2, 2, 2,
94 0, 1, 1,
95 0,
96
97 0, 1, 2, 3, 3, 3, 3,
98 0, 1, 2, 3, 3, 3, 3,
99 0, 1, 2, 3, 3, 3, 3,
100 0, 1, 2, 3, 3, 3, 3,
101 0, 1, 2, 2, 2,
102 0, 1, 1,
103 0,
104
105 0, 1, 2, 3, 4, 4, 4, 4, 4,
106 0, 1, 2, 3, 4, 4, 4, 4, 4,
107 0, 1, 2, 3, 4, 4, 4, 4, 4,
108 0, 1, 2, 3, 4, 4, 4, 4, 4,
109 0, 1, 2, 3, 4, 4, 4, 4, 4,
110 0, 1, 2, 3, 3, 3, 3,
111 0, 1, 2, 2, 2,
112 0, 1, 1,
113 0,
114
115 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
116 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
117 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
118 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
119 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
120 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
121 0, 1, 2, 3, 4, 4, 4, 4, 4,
122 0, 1, 2, 3, 3, 3, 3,
123 0, 1, 2, 2, 2,
124 0, 1, 1,
125 0,
126
127 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
128 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
129 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
130 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
131 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
132 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
133 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
134 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
135 0, 1, 2, 3, 4, 4, 4, 4, 4,
136 0, 1, 2, 3, 3, 3, 3,
137 0, 1, 2, 2, 2,
138 0, 1, 1,
139 0,
140
141 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
142 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
143 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
144 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
145 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
146 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
147 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
148 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
149 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
150 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
151 0, 1, 2, 3, 4, 4, 4, 4, 4,
152 0, 1, 2, 3, 3, 3, 3,
153 0, 1, 2, 2, 2,
154 0, 1, 1,
155 0,
156
157 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
158 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
159 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
160 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
161 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
162 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
163 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
164 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
165 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
166 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
167 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
168 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
169 0, 1, 2, 3, 4, 4, 4, 4, 4,
170 0, 1, 2, 3, 3, 3, 3,
171 0, 1, 2, 2, 2,
172 0, 1, 1,
173 0,
174
175 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
176 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
177 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
178 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
179 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
180 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
181 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
182 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
183 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
184 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
185 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8,
186 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7,
187 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6,
188 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 5,
189 0, 1, 2, 3, 4, 4, 4, 4, 4,
190 0, 1, 2, 3, 3, 3, 3,
191 0, 1, 2, 2, 2,
192 0, 1, 1,
193 0
194};
195
196const unsigned char cube_number_row[] = {
197 0,
198
199 1, 1, 0,
200 1, 1, 0,
201 0,
202
203 2, 2, 2, 1, 0,
204 2, 2, 2, 1, 0,
205 2, 2, 2, 1, 0,
206 1, 1, 0,
207 0,
208
209 3, 3, 3, 3, 2, 1, 0,
210 3, 3, 3, 3, 2, 1, 0,
211 3, 3, 3, 3, 2, 1, 0,
212 3, 3, 3, 3, 2, 1, 0,
213 2, 2, 2, 1, 0,
214 1, 1, 0,
215 0,
216
217 4, 4, 4, 4, 4, 3, 2, 1, 0,
218 4, 4, 4, 4, 4, 3, 2, 1, 0,
219 4, 4, 4, 4, 4, 3, 2, 1, 0,
220 4, 4, 4, 4, 4, 3, 2, 1, 0,
221 4, 4, 4, 4, 4, 3, 2, 1, 0,
222 3, 3, 3, 3, 2, 1, 0,
223 2, 2, 2, 1, 0,
224 1, 1, 0,
225 0,
226
227 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
228 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
229 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
230 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
231 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
232 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
233 4, 4, 4, 4, 4, 3, 2, 1, 0,
234 3, 3, 3, 3, 2, 1, 0,
235 2, 2, 2, 1, 0,
236 1, 1, 0,
237 0,
238
239 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
240 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
241 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
242 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
243 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
244 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
245 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
246 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
247 4, 4, 4, 4, 4, 3, 2, 1, 0,
248 3, 3, 3, 3, 2, 1, 0,
249 2, 2, 2, 1, 0,
250 1, 1, 0,
251 0,
252
253 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
254 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
255 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
256 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
257 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
258 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
259 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
260 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
261 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
262 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
263 4, 4, 4, 4, 4, 3, 2, 1, 0,
264 3, 3, 3, 3, 2, 1, 0,
265 2, 2, 2, 1, 0,
266 1, 1, 0,
267 0,
268
269 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
270 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
271 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
272 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
273 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
274 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
275 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
276 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
277 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
278 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
279 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
280 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
281 4, 4, 4, 4, 4, 3, 2, 1, 0,
282 3, 3, 3, 3, 2, 1, 0,
283 2, 2, 2, 1, 0,
284 1, 1, 0,
285 0,
286
287 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
288 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
289 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
290 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
291 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
292 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
293 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
294 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
295 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
296 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0,
297 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 6, 5, 4, 3, 2, 1, 0,
298 7, 7, 7, 7, 7, 7, 7, 7, 6, 5, 4, 3, 2, 1, 0,
299 6, 6, 6, 6, 6, 6, 6, 5, 4, 3, 2, 1, 0,
300 5, 5, 5, 5, 5, 5, 4, 3, 2, 1, 0,
301 4, 4, 4, 4, 4, 3, 2, 1, 0,
302 3, 3, 3, 3, 2, 1, 0,
303 2, 2, 2, 1, 0,
304 1, 1, 0,
305 0
306};
307
308const unsigned char cube_number_page[] = {
309 0,
310
311 0, 0, 0,
312 1, 1, 1,
313 1,
314
315 0, 0, 0, 0, 0,
316 1, 1, 1, 1, 1,
317 2, 2, 2, 2, 2,
318 2, 2, 2,
319 2,
320
321 0, 0, 0, 0, 0, 0, 0,
322 1, 1, 1, 1, 1, 1, 1,
323 2, 2, 2, 2, 2, 2, 2,
324 3, 3, 3, 3, 3, 3, 3,
325 3, 3, 3, 3, 3,
326 3, 3, 3,
327 3,
328
329 0, 0, 0, 0, 0, 0, 0, 0, 0,
330 1, 1, 1, 1, 1, 1, 1, 1, 1,
331 2, 2, 2, 2, 2, 2, 2, 2, 2,
332 3, 3, 3, 3, 3, 3, 3, 3, 3,
333 4, 4, 4, 4, 4, 4, 4, 4, 4,
334 4, 4, 4, 4, 4, 4, 4,
335 4, 4, 4, 4, 4,
336 4, 4, 4,
337 4,
338
339 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
340 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
341 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
342 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
343 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
344 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
345 5, 5, 5, 5, 5, 5, 5, 5, 5,
346 5, 5, 5, 5, 5, 5, 5,
347 5, 5, 5, 5, 5,
348 5, 5, 5,
349 5,
350
351 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
352 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
353 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
354 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
355 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
356 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
357 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
358 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
359 6, 6, 6, 6, 6, 6, 6, 6, 6,
360 6, 6, 6, 6, 6, 6, 6,
361 6, 6, 6, 6, 6,
362 6, 6, 6,
363 6,
364
365 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
366 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
367 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
368 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
369 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
370 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
371 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
372 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
373 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
374 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
375 7, 7, 7, 7, 7, 7, 7, 7, 7,
376 7, 7, 7, 7, 7, 7, 7,
377 7, 7, 7, 7, 7,
378 7, 7, 7,
379 7,
380
381 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
382 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
383 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
384 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
385 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
386 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
387 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
388 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
389 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
390 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
391 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
392 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
393 8, 8, 8, 8, 8, 8, 8, 8, 8,
394 8, 8, 8, 8, 8, 8, 8,
395 8, 8, 8, 8, 8,
396 8, 8, 8,
397 8,
398
399 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
400 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
401 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
402 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
403 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
404 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
405 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
406 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
407 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
408 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
409 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
410 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
411 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
412 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
413 9, 9, 9, 9, 9, 9, 9, 9, 9,
414 9, 9, 9, 9, 9, 9, 9,
415 9, 9, 9, 9, 9,
416 9, 9, 9,
417 9
418};
419
420// tetrahedral_number_*: indices for tetrahedron interiors
421const unsigned char tetrahedral_number_column[] = {
422 0,
423
424 0, 1,
425 0,
426
427 0, 1, 2,
428 0, 1,
429 0,
430
431 0, 1, 2, 3,
432 0, 1, 2,
433 0, 1,
434 0,
435
436 0, 1, 2, 3, 4,
437 0, 1, 2, 3,
438 0, 1, 2,
439 0, 1,
440 0,
441
442 0, 1, 2, 3, 4, 5,
443 0, 1, 2, 3, 4,
444 0, 1, 2, 3,
445 0, 1, 2,
446 0, 1,
447 0,
448
449 0, 1, 2, 3, 4, 5, 6,
450 0, 1, 2, 3, 4, 5,
451 0, 1, 2, 3, 4,
452 0, 1, 2, 3,
453 0, 1, 2,
454 0, 1,
455 0,
456
457 0, 1, 2, 3, 4, 5, 6, 7,
458 0, 1, 2, 3, 4, 5, 6,
459 0, 1, 2, 3, 4, 5,
460 0, 1, 2, 3, 4,
461 0, 1, 2, 3,
462 0, 1, 2,
463 0, 1,
464 0,
465
466 0, 1, 2, 3, 4, 5, 6, 7, 8,
467 0, 1, 2, 3, 4, 5, 6, 7,
468 0, 1, 2, 3, 4, 5, 6,
469 0, 1, 2, 3, 4, 5,
470 0, 1, 2, 3, 4,
471 0, 1, 2, 3,
472 0, 1, 2,
473 0, 1,
474 0,
475
476 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
477 0, 1, 2, 3, 4, 5, 6, 7, 8,
478 0, 1, 2, 3, 4, 5, 6, 7,
479 0, 1, 2, 3, 4, 5, 6,
480 0, 1, 2, 3, 4, 5,
481 0, 1, 2, 3, 4,
482 0, 1, 2, 3,
483 0, 1, 2,
484 0, 1,
485 0
486};
487
488const unsigned char tetrahedral_number_row[] = {
489 0,
490
491 1, 1,
492 1,
493
494 2, 2, 2,
495 2, 2,
496 2,
497
498 3, 3, 3, 3,
499 3, 3, 3,
500 3, 3,
501 3,
502
503 4, 4, 4, 4, 4,
504 4, 4, 4, 4,
505 4, 4, 4,
506 4, 4,
507 4,
508
509 5, 5, 5, 5, 5,
510 5, 5, 5, 5,
511 5, 5, 5,
512 5, 5,
513 5,
514
515 6, 6, 6, 6, 6, 6,
516 6, 6, 6, 6, 6,
517 6, 6, 6, 6,
518 6, 6, 6,
519 6, 6,
520 6,
521
522 7, 7, 7, 7, 7, 7, 7,
523 7, 7, 7, 7, 7, 7,
524 7, 7, 7, 7, 7,
525 7, 7, 7, 7,
526 7, 7, 7,
527 7, 7,
528 7,
529
530 8, 8, 8, 8, 8, 8, 8, 8,
531 8, 8, 8, 8, 8, 8, 8,
532 8, 8, 8, 8, 8, 8,
533 8, 8, 8, 8, 8,
534 8, 8, 8, 8,
535 8, 8, 8,
536 8, 8,
537 8,
538
539 9, 9, 9, 9, 9, 9, 9, 9, 9,
540 9, 9, 9, 9, 9, 9, 9, 9,
541 9, 9, 9, 9, 9, 9, 9,
542 9, 9, 9, 9, 9, 9,
543 9, 9, 9, 9, 9,
544 9, 9, 9, 9,
545 9, 9, 9,
546 9, 9,
547 9
548};
549
550const unsigned char tetrahedral_number_page[] = {
551 0,
552
553 0, 0,
554 1,
555
556 0, 0, 0,
557 1, 1,
558 2,
559
560 0, 0, 0, 0,
561 1, 1, 1,
562 2, 2,
563 3,
564
565 0, 0, 0, 0, 0,
566 1, 1, 1, 1,
567 2, 2, 2,
568 3, 3,
569 4,
570
571 0, 0, 0, 0, 0, 0,
572 1, 1, 1, 1, 1,
573 2, 2, 2, 2,
574 3, 3, 3,
575 4, 4,
576 5,
577
578 0, 0, 0, 0, 0, 0, 0,
579 1, 1, 1, 1, 1, 1,
580 2, 2, 2, 2, 2,
581 3, 3, 3, 3,
582 4, 4, 4,
583 5, 5,
584 6,
585
586 0, 0, 0, 0, 0, 0, 0, 0,
587 1, 1, 1, 1, 1, 1, 1,
588 2, 2, 2, 2, 2, 2,
589 3, 3, 3, 3, 3,
590 4, 4, 4, 4,
591 5, 5, 5,
592 6, 6,
593 7,
594
595 0, 0, 0, 0, 0, 0, 0, 0, 0,
596 1, 1, 1, 1, 1, 1, 1, 1,
597 2, 2, 2, 2, 2, 2, 2,
598 3, 3, 3, 3, 3, 3,
599 4, 4, 4, 4, 4,
600 5, 5, 5, 5,
601 6, 6, 6,
602 7, 7,
603 8,
604
605 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
606 1, 1, 1, 1, 1, 1, 1, 1, 1,
607 2, 2, 2, 2, 2, 2, 2, 2,
608 3, 3, 3, 3, 3, 3, 3,
609 4, 4, 4, 4, 4, 4,
610 5, 5, 5, 5, 5,
611 6, 6, 6, 6,
612 7, 7, 7,
613 8, 8,
614 9
615};
616
617// prism_number_*: indices for prism interiors
618//
619// These are split into a linear and a triangular index, rather than
620// into three linear indices
621const unsigned char prism_number_triangle[] = {
622
623 0,
624 0,
625
626 1, 2,
627 1, 2,
628 0,
629 1, 2,
630
631 3, 4, 5,
632 3, 4, 5,
633 3, 4, 5,
634 0,
635 1, 2,
636 3, 4, 5,
637
638 6, 7, 8, 9,
639 6, 7, 8, 9,
640 6, 7, 8, 9,
641 6, 7, 8, 9,
642 0,
643 1, 2,
644 3, 4, 5,
645 6, 7, 8, 9,
646
647 10, 11, 12, 13, 14,
648 10, 11, 12, 13, 14,
649 10, 11, 12, 13, 14,
650 10, 11, 12, 13, 14,
651 10, 11, 12, 13, 14,
652 0,
653 1, 2,
654 3, 4, 5,
655 6, 7, 8, 9,
656 10, 11, 12, 13, 14,
657
658 15, 16, 17, 18, 19, 20,
659 15, 16, 17, 18, 19, 20,
660 15, 16, 17, 18, 19, 20,
661 15, 16, 17, 18, 19, 20,
662 15, 16, 17, 18, 19, 20,
663 15, 16, 17, 18, 19, 20,
664 15, 16, 17, 18, 19, 20,
665 0,
666 1, 2,
667 3, 4, 5,
668 6, 7, 8, 9,
669 10, 11, 12, 13, 14,
670 15, 16, 17, 18, 19, 20,
671
672 21, 22, 23, 24, 25, 26, 27,
673 21, 22, 23, 24, 25, 26, 27,
674 21, 22, 23, 24, 25, 26, 27,
675 21, 22, 23, 24, 25, 26, 27,
676 21, 22, 23, 24, 25, 26, 27,
677 21, 22, 23, 24, 25, 26, 27,
678 21, 22, 23, 24, 25, 26, 27,
679 21, 22, 23, 24, 25, 26, 27,
680 0,
681 1, 2,
682 3, 4, 5,
683 6, 7, 8, 9,
684 10, 11, 12, 13, 14,
685 15, 16, 17, 18, 19, 20,
686 21, 22, 23, 24, 25, 26, 27,
687
688 28, 29, 30, 31, 32, 33, 34, 35,
689 28, 29, 30, 31, 32, 33, 34, 35,
690 28, 29, 30, 31, 32, 33, 34, 35,
691 28, 29, 30, 31, 32, 33, 34, 35,
692 28, 29, 30, 31, 32, 33, 34, 35,
693 28, 29, 30, 31, 32, 33, 34, 35,
694 28, 29, 30, 31, 32, 33, 34, 35,
695 28, 29, 30, 31, 32, 33, 34, 35,
696 28, 29, 30, 31, 32, 33, 34, 35,
697 0,
698 1, 2,
699 3, 4, 5,
700 6, 7, 8, 9,
701 10, 11, 12, 13, 14,
702 15, 16, 17, 18, 19, 20,
703 21, 22, 23, 24, 25, 26, 27,
704 28, 29, 30, 31, 32, 33, 34, 35,
705
706 36, 37, 38, 39, 40, 41, 42, 43, 44,
707 36, 37, 38, 39, 40, 41, 42, 43, 44,
708 36, 37, 38, 39, 40, 41, 42, 43, 44,
709 36, 37, 38, 39, 40, 41, 42, 43, 44,
710 36, 37, 38, 39, 40, 41, 42, 43, 44,
711 36, 37, 38, 39, 40, 41, 42, 43, 44,
712 36, 37, 38, 39, 40, 41, 42, 43, 44,
713 36, 37, 38, 39, 40, 41, 42, 43, 44,
714 36, 37, 38, 39, 40, 41, 42, 43, 44,
715 0,
716 1, 2,
717 3, 4, 5,
718 6, 7, 8, 9,
719 10, 11, 12, 13, 14,
720 15, 16, 17, 18, 19, 20,
721 21, 22, 23, 24, 25, 26, 27,
722 28, 29, 30, 31, 32, 33, 34, 35,
723 36, 37, 38, 39, 40, 41, 42, 43, 44
724};
725
726const unsigned char prism_number_page[] = {
727 0,
728 1,
729
730 0, 0,
731 1, 1,
732 2,
733 2, 2,
734
735 0, 0, 0,
736 1, 1, 1,
737 2, 2, 2,
738 3,
739 3, 3,
740 3, 3, 3,
741
742 0, 0, 0, 0,
743 1, 1, 1, 1,
744 2, 2, 2, 2,
745 3, 3, 3, 3,
746 4,
747 4, 4,
748 4, 4, 4,
749 4, 4, 4, 4,
750
751 0, 0, 0, 0, 0,
752 1, 1, 1, 1, 1,
753 2, 2, 2, 2, 2,
754 3, 3, 3, 3, 3,
755 4, 4, 4, 4, 4,
756 5,
757 5, 5,
758 5, 5, 5,
759 5, 5, 5, 5,
760 5, 5, 5, 5, 5,
761
762 0, 0, 0, 0, 0, 0,
763 1, 1, 1, 1, 1, 1,
764 2, 2, 2, 2, 2, 2,
765 3, 3, 3, 3, 3, 3,
766 4, 4, 4, 4, 4, 4,
767 5, 5, 5, 5, 5, 5,
768 6,
769 6, 6,
770 6, 6, 6,
771 6, 6, 6, 6,
772 6, 6, 6, 6, 6,
773 6, 6, 6, 6, 6, 6,
774
775 0, 0, 0, 0, 0, 0, 0,
776 1, 1, 1, 1, 1, 1, 1,
777 2, 2, 2, 2, 2, 2, 2,
778 3, 3, 3, 3, 3, 3, 3,
779 4, 4, 4, 4, 4, 4, 4,
780 5, 5, 5, 5, 5, 5, 5,
781 6, 6, 6, 6, 6, 6, 6,
782 7,
783 7, 7,
784 7, 7, 7,
785 7, 7, 7, 7,
786 7, 7, 7, 7, 7,
787 7, 7, 7, 7, 7, 7,
788 7, 7, 7, 7, 7, 7, 7,
789
790 0, 0, 0, 0, 0, 0, 0, 0,
791 1, 1, 1, 1, 1, 1, 1, 1,
792 2, 2, 2, 2, 2, 2, 2, 2,
793 3, 3, 3, 3, 3, 3, 3, 3,
794 4, 4, 4, 4, 4, 4, 4, 4,
795 5, 5, 5, 5, 5, 5, 5, 5,
796 6, 6, 6, 6, 6, 6, 6, 6,
797 7, 7, 7, 7, 7, 7, 7, 7,
798 8,
799 8, 8,
800 8, 8, 8,
801 8, 8, 8, 8,
802 8, 8, 8, 8, 8,
803 8, 8, 8, 8, 8, 8,
804 8, 8, 8, 8, 8, 8, 8,
805 8, 8, 8, 8, 8, 8, 8, 8,
806
807 0, 0, 0, 0, 0, 0, 0, 0, 0,
808 1, 1, 1, 1, 1, 1, 1, 1, 1,
809 2, 2, 2, 2, 2, 2, 2, 2, 2,
810 3, 3, 3, 3, 3, 3, 3, 3, 3,
811 4, 4, 4, 4, 4, 4, 4, 4, 4,
812 5, 5, 5, 5, 5, 5, 5, 5, 5,
813 6, 6, 6, 6, 6, 6, 6, 6, 6,
814 7, 7, 7, 7, 7, 7, 7, 7, 7,
815 8, 8, 8, 8, 8, 8, 8, 8, 8,
816 9,
817 9, 9,
818 9, 9, 9,
819 9, 9, 9, 9,
820 9, 9, 9, 9, 9,
821 9, 9, 9, 9, 9, 9,
822 9, 9, 9, 9, 9, 9, 9,
823 9, 9, 9, 9, 9, 9, 9, 9,
824 9, 9, 9, 9, 9, 9, 9, 9, 9
825};
826
827} // namespace libMesh
The libMesh namespace provides an interface to certain functionality in the library.
const unsigned char tetrahedral_number_column[]
const unsigned char tetrahedral_number_row[]
const unsigned char prism_number_triangle[]
const unsigned char prism_number_page[]
const unsigned char triangular_number_row[]
const unsigned char cube_number_row[]
const unsigned char cube_number_page[]
const unsigned char cube_number_column[]
const unsigned char square_number_row[]
const unsigned char square_number_column[]
const unsigned char triangular_number_column[]
const unsigned char tetrahedral_number_page[]