libMesh
number_lookups.C
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1 // The libMesh Finite Element Library.
2 // Copyright (C) 2002-2024 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 
22 namespace libMesh
23 {
24 
25 // These numbers need to go up to at least maximum_totalorder - 2
26 
27 // triangular_number_*: indices for triangle interiors
28 const 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 
41 const 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
56 const 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 
69 const 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
84 const 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 
196 const 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 
308 const 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
421 const 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 
488 const 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 
550 const 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
621 const 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 
726 const 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
const unsigned char prism_number_page[]
const unsigned char prism_number_triangle[]
const unsigned char triangular_number_row[]
const unsigned char tetrahedral_number_column[]
const unsigned char cube_number_column[]
The libMesh namespace provides an interface to certain functionality in the library.
const unsigned char tetrahedral_number_row[]
const unsigned char cube_number_row[]
const unsigned char tetrahedral_number_page[]
const unsigned char square_number_column[]
const unsigned char cube_number_page[]
const unsigned char triangular_number_column[]
const unsigned char square_number_row[]