number_lookups.C
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1 // The libMesh Finite Element Library.
2 // Copyright (C) 2002-2018 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 // square_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 } // namespace libMesh
const unsigned char triangular_number_row[]
const unsigned char cube_number_column[]
const unsigned char cube_number_row[]
const unsigned char square_number_column[]
const unsigned char cube_number_page[]
const unsigned char triangular_number_column[]
const unsigned char square_number_row[]