1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
|
% Copyright (C) 2005-2016 Julien Pommier.
%
% This file is a part of GetFEM++
%
% GetFEM++ is free software; you can redistribute it and/or modify it
% under the terms of the GNU Lesser General Public License as published
% by the Free Software Foundation; either version 3 of the License, or
% (at your option) any later version along with the GCC Runtime Library
% Exception either version 3.1 or (at your option) any later version.
% This program is distributed in the hope that it will be useful, but
% WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
% or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
% License and GCC Runtime Library Exception for more details.
% You should have received a copy of the GNU Lesser General Public License
% along with this program; if not, write to the Free Software Foundation,
% Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA.
function check_mesh_fem(iverbose,idebug)
global gverbose;
global gdebug;
if (nargin >= 1),
gverbose = iverbose;
if (nargin == 2),
gdebug = idebug;
else
gdebug = 0;
end;
else
gverbose = 0;
end;
s=['BEGIN POINTS LIST' 10,...
'POINT 0 0 0 0' 10,...
'POINT 1 -4 6 2' 10,...
'POINT 2 0 6 0' 10,...
'POINT 3 0 2 0' 10,...
'POINT 4 -2 6 2' 10,...
'POINT 5 0 4 0' 10,...
'POINT 6 -1.5 4.5 .5' 10,...
'POINT 7 1 2 0' 10,...
'POINT 8 1.5 1.5 0' 10,...
'POINT 9 5 5 0' 10,...
'POINT 10 2 1 0' 10,...
'POINT 11 6 3 0' 10,...
'POINT 12 2 0 0' 10,...
'POINT 13 6 0 0' 10,...
'POINT 14 2 4 0' 10,...
'POINT 15 4 2 0' 10,...
'POINT 46 4 4 0' 10,...
'POINT 17 3 6 0' 10,...
'POINT 18 2 -2 2' 10,...
'POINT 19 2 -2 -2' 10,...
'POINT 20 6 -2 2' 10,...
'POINT 21 6 -2 -2' 10,...
'POINT 22 2 -1 1' 10,...
'POINT 23 2 -2.5 0' 10,...
'POINT 24 2 -1 -1' 10,...
'POINT 25 6 -1 1' 10,...
'POINT 26 6 -2.5 0' 10,...
'POINT 27 6 -1 -1 ' 10,...
'POINT 28 -1 6 -1 ' 10,...
'POINT 29 -1 2 -1' 10,...
'POINT 30 +1 6 -2' 10,...
'POINT 31 +1 2 -2' 10,...
'POINT 32 0 6 -3' 10,...
'POINT 33 0 2 -3' 10,...
'POINT 34 2 -5 -2' 10,...
'POINT 35 2 -4 0' 10,...
'POINT 36 4 -5 2' 10,...
'POINT 37 6 -5 -2' 10,...
'POINT 38 6 -5 0' 10,...
'POINT 49 6 -5 2' 10,...
'END POINTS LIST' 10,...
'BEGIN MESH STRUCTURE DESCRIPTION' 10,...
'CONVEX 0 GT_PK(2,2) 1 4 2 6 5 3' 10,...
'CONVEX 1 GT_QK(2,1) 2 17 3 7' 10,...
'CONVEX 2 GT_QK(2,2) 7 8 10 14 46 15 17 9 11' 10,...
'CONVEX 3 GT_QK(2,1) 10 12 11 13' 10,...
'CONVEX 4 GT_PRODUCT(GT_PK(2,2),GT_PK(1,1)) 12 22 18 24 23 19 13 25 20 27 26 21' 10,...
'CONVEX 5 GT_PRODUCT(GT_PK(1,1),GT_PK(1,3)) 2 3 28 29 30 31 32 33' 10,...
'CONVEX 8 GT_PRODUCT(GT_QK(2,1),GT_PK(1,2)) 19 21 34 37 23 26 35 38 18 20 36 49' 10,...
'END MESH STRUCTURE DESCRIPTION' 10,...
'BEGIN MESH_FEM' 10,...
' CONVEX 0 FEM_PK(2,2)' 10,...
' CONVEX 1 FEM_QK(2,2)' 10,...
' CONVEX 2 FEM_QK(2,3)' 10,...
' CONVEX 3 FEM_QK(2,2)' 10,...
' CONVEX 4 FEM_PRODUCT(FEM_PK(2,2),FEM_PK(1,2))' 10,...
' CONVEX 5 FEM_PRODUCT(FEM_PK(1,2),FEM_PK(1,3))' 10,...
' CONVEX 8 FEM_PRODUCT(FEM_QK(2,3),FEM_PK(1,2))' 10,...
'END MESH_FEM\n'];
m=gf_mesh('from string',s);
mf=gf_mesh_fem('from string',s,m);
s2=gf_mesh_fem_get(mf,'char');
mf2=gf_mesh_fem('from string',s2,m);
gf_mesh_fem_get(mf,'nbdof');
gf_mesh_fem_get(mf2,'nbdof');
N=gf_mesh_get(m,'dim');
npt=gf_mesh_get(m,'nbpts');
gfassert('N==3 & npt==40');
ncv=gf_mesh_get(m,'nbcvs');
gfassert('ncv==7');
lastcv=gf_mesh_get(m, 'max cvid');
gfassert('lastcv==9');
lastpid=gf_mesh_get(m, 'max pid');
gfassert('lastpid==50');
[d,c]=gf_mesh_get(mf, 'pid from cvid',[2 6]);
gfassert('c==[1 5 13]');
gfassert('d==[3 18 4 8 3 4 29 30 31 32 33 34]');
[d,c]=gf_mesh_get(mf, 'pid from cvid',1:gf_mesh_get(m,'max cvid'));
[d,c]=gf_mesh_get(mf, 'pid from cvid');
for i=[-1 0 -10],
asserterr('gf_mesh_get(m, ''pid from cvid'',i)');
end;
P=gf_mesh_get(m,'pts');
V=gf_mesh_get(m, 'pid from coords', P);
pid=gf_mesh_get(m,'pid');
find(V~=-1)
pid
P
gf_mesh_get(m, 'char')
gfassert('find(V~=-1)==pid');
a=gf_mesh_get(m, 'faces from pid', pid);
b=[1 1 1 2 1 3 2 1 2 2 2 3 2 4 6 1 6 2 6 3 6 4 3 1 3 2 3 3 3 4 4 ...
1 4 2 4 3 4 4 5 1 5 2 5 3 5 4 5 5 9 1 9 2 9 3 9 4 9 5 9 6];
gfassert('a(:)==b(:)');
for i=[-1 0 48 49]
asserterr('gf_mesh_get(m, ''faces from pid'', i)');
end;
a=gf_mesh_get(m, 'outer faces');
b = [5 2 5 3 5 4 5 5 9 1 9 2 9 3 9 5 9 6];
gfassert('a(:)==b(:)');
a=gf_mesh_get(m, 'outer faces',[4 5]);
gfassert('a(:)==[5 1 5 2 5 3 5 4 5 5]''');
asserterr('gf_mesh_get(m, ''outer faces'',[4 6 7 8])');
asserterr('gf_mesh_get(m, ''outer faces'',[0])');
E=gf_mesh_get(m, 'edges');
asserterr('gf_mesh_get(m, ''edges'',[0])');
E=gf_mesh_get(m, 'curved edges',10);
E=gf_mesh_get(m, 'curved edges',8);
asserterr('gf_mesh_get(m, ''curved edges'',-1)');
gfassert('abs(sum(sum(sum(E)))-1.872e3) < 2');
asserterr('gf_mesh_get(m, ''triangulated surface'', 3)');
Z=gf_mesh_get(m, 'triangulated surface', 4,gf_mesh_get(m, 'outer faces',[4 5]));
% gfassert('size(Z)==[9 160]');
gfassert('size(Z)==[9 128]');
Z=gf_mesh_get(m, 'curved edges', 4, gf_mesh_get(m, 'outer faces',[4 5]));
ZZ=gf_mesh_get(m, 'curved edges', 4, [4 5]);
for i=0:7
if (i > 0 & i < 7),
n=gf_mesh_get(m, 'normal of face', 5, 3, i);
gfassert('norm(n-[0 0.7071 0.7071]) < 1e-3');
nn(i,:)=gf_mesh_get(m, 'normal of face', 5, 1, i);
else
asserterr('gf_mesh_get(m, ''normal of face'', 5, 3, i)');
end;
end;
zz=[0 0 0 0 0 0 -0.894427 -1 -0.894427 -0.894427 -1 -0.894427 0.447214 0 -0.447214 0.447214 0 -0.447214];
gfassert('norm(nn(:)''-zz)<1e-5'); %8.9465e-07
asserterr('gf_mesh_get(m, ''normal of faces'', [1 -1])');
N=gf_mesh_get(m, 'normal of faces', gf_mesh_get(m, 'outer faces',[5 9]));
s2=gf_mesh_get(m,'char');
gfassert('length(s2)>500');
m2=gf_mesh('from string',s);
gf_mesh_fem_get(mf,'nbdof') % should be 99 or 100 (element 0 and 1 are not really neigbhor but can be viewed as such)
d=gf_mesh_fem_get(mf,'basic dof from cv',[1 5])
gfassert(['d==[1 2 3 4 5 6 38 41 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58]']);
d=gf_mesh_fem_get(mf,'basic dof from cv',[1 5;1 2])
gfassert('d==[3 5 6 38 41 43 46 48 51 53 56 58]');
d=gf_mesh_fem_get(mf,'basic dof from cvid',5)
gfassert('d==[38 44 45 46 47 48 41 49 50 51 52 53 43 54 55 56 57 58]');
s2=gf_mesh_get(mf,'char');
gfassert('length(s2)>500');
m2=gf_mesh('from string',s);
mf2=gf_mesh_fem('from string',s);
mf3=gf_mesh_fem('from string',s,m2);
gf_mesh_fem_set(mf2,'qdim',2);
s2=gf_mesh_fem_get(mf2,'char')
s3=gf_mesh_get(mf2,'char')
% ~bug here: doesn't work if s2 and s3 are reversed
mf2=gf_mesh_fem('from string',[s3 s2]);
d=gf_mesh_fem_get(mf2,'basic dof from cv',[1 5]);
% dd=[1 2 3 4 5 6 7 8 9 10 11 12 73 74 79 80 83 84 85 86 87 88 89 90 91 92 ...
% 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 ...
% 112 113 114];
% gfassert('d==dd');
d=gf_mesh_fem_get(mf2,'basic dof from cv',[1 5;1 2]);
% dd=[5 6 9 10 11 12 73 74 79 80 83 84 89 90 93 94 99 100 103 104 109 110 113 ...
% 114];
% gfassert('d==dd');
d=gf_mesh_fem_get(mf2,'basic dof from cvid',5);
% dd=[73 74 85 86 87 88 89 90 91 92 93 94 79 80 95 96 97 98 99 100 101 102 ...
% 103 104 83 84 105 106 107 108 109 110 111 112 113 114];
% gfassert('d==dd');
[f,c]=gf_mesh_get(mf2, 'geotrans');
gfassert('c(2)==c(4)');
fs1=gf_geotrans_get(f(c(6)),'char');
gfassert('fs1==''GT_PRODUCT(GT_PK(1,1),GT_PK(1,3))''');
[f,c]=gf_mesh_get(mf2, 'cvstruct');
gfassert('c(2)==c(4)');
[f,c]=gf_mesh_fem_get(mf2, 'fem');
gfassert('c(2)==c(4)');
fs1=gf_fem_get(f(c(5)),'char');
gfassert('fs1==''FEM_PRODUCT(FEM_PK(2,2),FEM_PK(1,2))''');
% [f,c]=gf_mesh_fem_get(mf2, 'integ');
% gfassert('c(2)==c(3)');
% fs1=gf_integ_get(f(c(3)),'char');
% gfassert('fs1==''IM_QUAD(5)''');
%test for non conformal dof
m = gf_mesh('triangles grid',[0:.5:1], [0:.5:1]);
mf_u = gf_mesh_fem(m,2);
mf_d = gf_mesh_fem(m,1);
gf_mesh_fem_set(mf_u,'fem',gf_fem('FEM_PK(2,1)'),[1:5 7]);
gf_mesh_fem_set(mf_u,'fem',gf_fem('FEM_PK(2,3)'),8);
gf_mesh_fem_set(mf_d,'fem',gf_fem('FEM_PK(2,1)'));
gf_mesh_set(m, 'boundary', 3, [1 1 1; 1 2 3]);
gf_mesh_set(m, 'boundary', 7, [3 4; 3 2]);
cl=[1:5 7 8];
asserterr('gf_mesh_fem_get(mf_u, ''non conformal basic dof'')');
d=gf_mesh_fem_get(mf_u, 'non conformal basic dof',cl);
%gf_plot_mesh(mf_u, 'dof', 'on');
gfassert('d==[11 12 13 14 15 16 21 22]');
f=gf_mesh_fem_get(mf2, 'fem');
f5=gf_mesh_fem_get(mf2, 'fem',5);
asserterr('gf_mesh_fem_get(mf_u, ''fem of cvs'')');
asserterr('gf_mesh_fem_get(mf_u, ''fem of cvs'',7)');
asserterr('gf_mesh_fem_get(mf_u, ''fem of cvs'',6)');
gf_mesh_fem_get(mf_u, 'is_lagrangian',cl);
gf_mesh_fem_get(mf_u, 'is equivalent',cl);
gf_mesh_fem_get(mf_u, 'is_polynomial',cl);
me=gf_eltm('base', f5);
% ME=gf_mesh_fem_get(mf2,'eltm',me,5);
% MME=[-0.0444444 1.15556 0.0222222 1.15556 1.24444 0.0222222 -0.177778 4.62222,...
% 0.0888889 4.62222 4.97778 0.0888889 -0.0444444 1.15556 0.0222222 1.15556,...
% 1.24444 0.0222222]';
% gfassert('norm(ME-MME)<1e-4');
m=gf_mesh_fem_get(mf2,'linked_mesh');
oo=gf_mesh_get(mf2,'outer faces');
oo=oo(:,find(oo(2,:)~=0));
gf_mesh_set(m,'boundary',51,oo);
o=gf_mesh_get(m,'boundary',51);
gfassert('size(o)==size(oo) & sum(sum(o))==sum(sum(oo))');
o=gf_mesh_get(mf2,'boundary',1);
gfassert('isempty(o)');
gf_mesh_set(gf_mesh_fem_get(mf2,'linked mesh'),'boundary',1,oo(:,1));
o=gf_mesh_get(mf2,'boundary',1);
gfassert('o==oo(:,1)');
o=gf_mesh_get(mf2,'boundaries');
gfassert('o==[1 51]');
gf_mesh_set(gf_mesh_fem_get(mf2,'linked mesh'),'delete boundary',1);
o=gf_mesh_get(mf2,'boundary',1);
gfassert('isempty(o)');
o=gf_mesh_get(mf2,'boundaries');
gfassert('o==51');
% test region intersect/merge/setdiff
R1 = [1 2 5 6 6 6; 1 2 1 2 3 2];
gf_mesh_set(m,'region', 10, R1);
r1 = gf_mesh_get(m, 'region', 10);
R2 = [5 6 3 4 6; 1 3 1 2 1];
gf_mesh_set(m,'region', 11, R2);
r2 = gf_mesh_get(m, 'region', 11);
gf_mesh_set(m,'region merge', 11, 10);
rr=gf_mesh_get(m,'region',11);
RR=union(R1',R2','rows')';
gfassert('rr==RR');
gf_mesh_set(m,'region', 11, R2);
gf_mesh_set(m,'region subtract', 11, 10);
rr=gf_mesh_get(m,'region',11);
RR=setdiff(R2',R1','rows')';
gfassert('rr==RR');
gf_mesh_set(m,'region', 11, R2);
gf_mesh_set(m,'region intersect', 11, 10);
rr=gf_mesh_get(m,'region',11);
RR=intersect(R2',R1','rows')';
gfassert('rr==RR');
asserterr('gf_mesh_set(m, ''del point'', [3])');
o=gf_mesh_get(m,'pid from cvid', 3);
gfassert('o==[8 9 11 15 47 16 18 10 12]');
gf_mesh_set(m,'del convex',3);
gf_mesh_set(m,'del convex',2);
c=[2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25,...
26 27 28 29 30 31 32 33 34 35 36 37 38 39 47 50];
d=gf_mesh_get(m,'pid');
gfassert('d(:)==c(:)');
d=gf_mesh_fem_get(mf2,'basic dof on region', 0:100);
% test for optimize_structure
maxpid=gf_mesh_get(m,'max pid');
maxcvid=gf_mesh_get(m,'max cvid');
np=gf_mesh_get(m,'nbpts');
ncv=gf_mesh_get(m,'nbcvs');
gfassert('np < maxpid');
gfassert('ncv < maxcvid');
gf_mesh_set(m,'optimize structure');
maxpid=gf_mesh_get(m,'max pid');
maxcvid=gf_mesh_get(m,'max cvid');
gfassert('np == maxpid');
gfassert('ncv == maxcvid');
gf_mesh_set(m,'del convex',2);
disp('-----------------------------PLOP---------------------------------');
disp('-----------------------------PLOP---------------------------------');
% test gradient/hessian
m=gfMesh('empty',2);
%gf_mesh_set(m,'add convex',gfGeoTrans('GT_PK(2,2)'),...
%[0 0; .6 0; 1.2 0; 0 .4; .6 .4; 0 0.8]');
gf_mesh_set(m,'add convex',gfGeoTrans('GT_PK(2,1)'),[1 1; 1.1 0;0.9 1.3]');
mf=gfMeshFem(m);
gf_mesh_fem_set(mf, 'classical fem', 4); %'gfFem('FEM_PK(2,3)'));
U=rand(3, mf.nbdof());
%U(1) = 1;
DU=gf_compute(mf, U, 'gradient', mf);
D2U=gf_compute(mf, DU, 'gradient', mf);
D2U2=gf_compute(mf, U, 'hessian', mf);
gfassert('max(max(abs(D2U(:)-D2U2(:)))) < 1e-9');
|
