Line data Source code
1 : /*
2 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3 : SLEPc - Scalable Library for Eigenvalue Problem Computations
4 : Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
5 :
6 : This file is part of SLEPc.
7 : SLEPc is distributed under a 2-clause BSD license (see LICENSE).
8 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
9 : */
10 :
11 : static char help[] = "Tests B-orthonormality of eigenvectors in a GHEP problem.\n\n";
12 :
13 : #include <slepceps.h>
14 :
15 47 : int main(int argc,char **argv)
16 : {
17 47 : Mat A,B; /* matrices */
18 47 : EPS eps; /* eigenproblem solver context */
19 47 : ST st;
20 47 : Vec *X,v;
21 47 : PetscReal lev=0.0,tol=PETSC_SMALL;
22 47 : PetscInt N,n=45,m,Istart,Iend,II,i,j,nconv;
23 47 : PetscBool flag,skiporth=PETSC_FALSE;
24 47 : EPSPowerShiftType variant;
25 :
26 47 : PetscFunctionBeginUser;
27 47 : PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
28 47 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
29 47 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
30 47 : if (!flag) m=n;
31 47 : N = n*m;
32 47 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized Symmetric Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
33 47 : PetscCall(PetscOptionsGetBool(NULL,NULL,"-skiporth",&skiporth,NULL));
34 :
35 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
36 : Compute the matrices that define the eigensystem, Ax=kBx
37 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
38 :
39 47 : PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
40 47 : PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
41 47 : PetscCall(MatSetFromOptions(A));
42 :
43 47 : PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
44 47 : PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N));
45 47 : PetscCall(MatSetFromOptions(B));
46 :
47 47 : PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
48 17057 : for (II=Istart;II<Iend;II++) {
49 17010 : i = II/n; j = II-i*n;
50 17010 : if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
51 17010 : if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
52 17010 : if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
53 17010 : if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
54 17010 : PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
55 17010 : PetscCall(MatSetValue(B,II,II,2.0/PetscLogScalar(II+2),INSERT_VALUES));
56 : }
57 :
58 47 : PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
59 47 : PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
60 47 : PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
61 47 : PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
62 47 : PetscCall(MatCreateVecs(B,&v,NULL));
63 :
64 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
65 : Create the eigensolver and set various options
66 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
67 :
68 47 : PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
69 47 : PetscCall(EPSSetOperators(eps,A,B));
70 47 : PetscCall(EPSSetProblemType(eps,EPS_GHEP));
71 47 : PetscCall(EPSSetTolerances(eps,tol,PETSC_CURRENT));
72 47 : PetscCall(EPSSetConvergenceTest(eps,EPS_CONV_NORM));
73 47 : PetscCall(EPSSetFromOptions(eps));
74 :
75 : /* illustrate how to extract parameters from specific solver types */
76 47 : PetscCall(PetscObjectTypeCompare((PetscObject)eps,EPSPOWER,&flag));
77 47 : if (flag) {
78 4 : PetscCall(EPSGetST(eps,&st));
79 4 : PetscCall(PetscObjectTypeCompare((PetscObject)st,STSHIFT,&flag));
80 4 : if (flag) {
81 1 : PetscCall(EPSPowerGetShiftType(eps,&variant));
82 1 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Type of shifts used during power iteration: %s\n",EPSPowerShiftTypes[variant]));
83 : }
84 : }
85 :
86 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
87 : Solve the eigensystem
88 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
89 :
90 47 : PetscCall(EPSSolve(eps));
91 :
92 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
93 : Display solution and clean up
94 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
95 :
96 47 : PetscCall(EPSGetTolerances(eps,&tol,NULL));
97 47 : PetscCall(EPSErrorView(eps,EPS_ERROR_BACKWARD,NULL));
98 47 : PetscCall(EPSGetConverged(eps,&nconv));
99 47 : if (nconv>1) {
100 47 : PetscCall(VecDuplicateVecs(v,nconv,&X));
101 723 : for (i=0;i<nconv;i++) PetscCall(EPSGetEigenvector(eps,i,X[i],NULL));
102 47 : if (!skiporth) PetscCall(VecCheckOrthonormality(X,nconv,NULL,nconv,B,NULL,&lev));
103 47 : if (lev<10*tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n"));
104 6 : else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)lev));
105 47 : PetscCall(VecDestroyVecs(nconv,&X));
106 : }
107 :
108 47 : PetscCall(EPSDestroy(&eps));
109 47 : PetscCall(MatDestroy(&A));
110 47 : PetscCall(MatDestroy(&B));
111 47 : PetscCall(VecDestroy(&v));
112 47 : PetscCall(SlepcFinalize());
113 : return 0;
114 : }
115 :
116 : /*TEST
117 :
118 : testset:
119 : args: -n 18 -eps_nev 4 -eps_max_it 1500
120 : requires: !single
121 : output_file: output/test1_1.out
122 : test:
123 : suffix: 1
124 : args: -eps_type {{krylovschur arnoldi gd jd lapack}}
125 : test:
126 : suffix: 1_subspace
127 : args: -eps_type subspace -eps_conv_rel
128 : test:
129 : suffix: 1_ks_nopurify
130 : args: -eps_purify 0
131 : test:
132 : suffix: 1_ks_trueres
133 : args: -eps_true_residual
134 : test:
135 : suffix: 1_ks_sinvert
136 : args: -st_type sinvert -eps_target 22
137 : test:
138 : suffix: 1_ks_cayley
139 : args: -st_type cayley -eps_target 22
140 : test:
141 : suffix: 1_lanczos
142 : args: -eps_type lanczos -eps_lanczos_reorthog full
143 : test:
144 : suffix: 1_gd2
145 : args: -eps_type gd -eps_gd_double_expansion
146 : test:
147 : suffix: 1_gd_borth
148 : args: -eps_type gd -eps_gd_borth
149 : test:
150 : suffix: 1_jd_borth
151 : args: -eps_type jd -eps_jd_borth
152 : test:
153 : suffix: 1_lobpcg
154 : args: -eps_type lobpcg -st_shift 22 -eps_largest_real
155 : test:
156 : suffix: 1_hpddm
157 : requires: hpddm
158 : args: -eps_type lobpcg -st_shift 22 -eps_largest_real -st_pc_type lu -st_ksp_type hpddm
159 : test:
160 : suffix: 1_cholesky
161 : args: -mat_type sbaij
162 : test:
163 : suffix: 1_scalapack
164 : nsize: {{1 2 3}}
165 : requires: scalapack
166 : args: -eps_type scalapack
167 : test:
168 : suffix: 1_elpa
169 : nsize: {{1 2 3}}
170 : requires: elpa
171 : args: -eps_type elpa
172 : filter: grep -v "Buffering level"
173 : test:
174 : suffix: 1_elemental
175 : nsize: {{1 2}}
176 : requires: elemental
177 : args: -eps_type elemental
178 :
179 : testset:
180 : args: -n 18 -eps_type ciss -rg_interval_endpoints 20.8,22
181 : requires: !single
182 : output_file: output/test1_1_ciss.out
183 : test:
184 : suffix: 1_ciss
185 : args: -eps_ciss_extraction {{ritz hankel}}
186 : test:
187 : suffix: 1_ciss_ksps
188 : args: -eps_ciss_usest 0 -eps_ciss_integration_points 12
189 : test:
190 : suffix: 1_ciss_gnhep
191 : args: -eps_gen_non_hermitian -skiporth
192 : test:
193 : suffix: 1_ciss_trapezoidal
194 : args: -eps_ciss_quadrule trapezoidal -eps_ciss_integration_points 24 -eps_ciss_extraction hankel -eps_ciss_delta 1e-10 -eps_tol 5e-11 -skiporth
195 : test:
196 : suffix: 1_ciss_cuda
197 : args: -mat_type aijcusparse -st_pc_factor_mat_solver_type cusparse
198 : requires: cuda
199 : test:
200 : suffix: 1_ciss_hip
201 : args: -mat_type aijhipsparse -st_pc_factor_mat_solver_type hipsparse
202 : requires: hip
203 :
204 : testset:
205 : requires: !single
206 : args: -eps_tol 1e-10 -st_type sinvert -st_ksp_type preonly -st_pc_type cholesky
207 : test:
208 : suffix: 2
209 : args: -eps_interval .1,1.1
210 : test:
211 : suffix: 2_open
212 : args: -eps_interval -inf,1.1
213 : test:
214 : suffix: 2_parallel
215 : requires: mumps !complex
216 : nsize: 3
217 : args: -eps_interval .1,1.1 -eps_krylovschur_partitions 2 -st_pc_factor_mat_solver_type mumps -st_mat_mumps_icntl_13 1
218 : output_file: output/test1_2.out
219 :
220 : test:
221 : suffix: 3
222 : requires: !single
223 : args: -n 18 -eps_type power -eps_conv_rel -eps_nev 3
224 :
225 : test:
226 : suffix: 4
227 : requires: !single
228 : args: -n 18 -eps_type power -eps_conv_rel -eps_nev 3 -st_type sinvert -eps_target 1.149 -eps_power_shift_type {{constant rayleigh wilkinson}}
229 :
230 : testset:
231 : args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type icc
232 : output_file: output/test1_5.out
233 : test:
234 : suffix: 5_rqcg
235 : args: -eps_type rqcg
236 : test:
237 : suffix: 5_lobpcg
238 : args: -eps_type lobpcg -eps_lobpcg_blocksize 3
239 : test:
240 : suffix: 5_hpddm
241 : args: -eps_type lobpcg -eps_lobpcg_blocksize 3 -st_pc_type lu -st_ksp_type hpddm
242 : requires: hpddm
243 : test:
244 : suffix: 5_blopex
245 : args: -eps_type blopex -eps_conv_abs -st_shift 0.1
246 : requires: blopex
247 :
248 : testset:
249 : args: -n 18 -eps_nev 12 -eps_mpd 8 -eps_max_it 3000
250 : requires: !single
251 : output_file: output/test1_6.out
252 : test:
253 : suffix: 6
254 : args: -eps_type {{krylovschur arnoldi gd}}
255 : test:
256 : suffix: 6_lanczos
257 : args: -eps_type lanczos -eps_lanczos_reorthog full
258 : test:
259 : suffix: 6_subspace
260 : args: -eps_type subspace -eps_conv_rel
261 :
262 : testset:
263 : args: -n 18 -eps_nev 4 -eps_max_it 1500 -mat_type aijcusparse
264 : requires: cuda !single
265 : output_file: output/test1_1.out
266 : test:
267 : suffix: 7
268 : args: -eps_type {{krylovschur arnoldi gd jd}}
269 : test:
270 : suffix: 7_subspace
271 : args: -eps_type subspace -eps_conv_rel
272 : test:
273 : suffix: 7_ks_sinvert
274 : args: -st_type sinvert -eps_target 22
275 : test:
276 : suffix: 7_lanczos
277 : args: -eps_type lanczos -eps_lanczos_reorthog full
278 : test:
279 : suffix: 7_ciss
280 : args: -eps_type ciss -rg_interval_endpoints 20.8,22 -st_pc_factor_mat_solver_type cusparse
281 : output_file: output/test1_1_ciss.out
282 :
283 : testset:
284 : args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type sor -mat_type aijcusparse
285 : requires: cuda
286 : output_file: output/test1_5.out
287 : test:
288 : suffix: 8_rqcg
289 : args: -eps_type rqcg
290 : test:
291 : suffix: 8_lobpcg
292 : args: -eps_type lobpcg -eps_lobpcg_blocksize 3
293 :
294 : testset:
295 : nsize: 2
296 : args: -n 18 -eps_nev 7 -eps_ncv 32 -ds_parallel synchronized
297 : filter: grep -v "orthogonality" | sed -e "s/[+-]0\.0*i//g" | sed -e "s/0.61338/0.61339/g"
298 : output_file: output/test1_9.out
299 : test:
300 : suffix: 9_ks_ghep
301 : args: -eps_gen_hermitian -st_pc_type redundant -st_type sinvert
302 : test:
303 : suffix: 9_ks_gnhep
304 : args: -eps_gen_non_hermitian -st_pc_type redundant -st_type sinvert
305 : test:
306 : suffix: 9_ks_ghiep
307 : args: -eps_gen_indefinite -st_pc_type redundant -st_type sinvert
308 : requires: !single
309 : test:
310 : suffix: 9_lobpcg_ghep
311 : args: -eps_gen_hermitian -eps_type lobpcg -eps_max_it 200 -eps_lobpcg_blocksize 6
312 : requires: !single
313 : timeoutfactor: 2
314 : test:
315 : suffix: 9_jd_gnhep
316 : args: -eps_gen_non_hermitian -eps_type jd -eps_target 0 -eps_ncv 64
317 : requires: !single
318 : timeoutfactor: 2
319 :
320 : test:
321 : suffix: 10_feast
322 : args: -n 25 -eps_type feast -eps_interval .95,1.1 -eps_conv_rel -eps_tol 1e-6
323 : requires: feast
324 :
325 : testset:
326 : args: -n 18 -eps_nev 4 -eps_max_it 1500 -mat_type aijhipsparse
327 : requires: hip !single
328 : output_file: output/test1_1.out
329 : test:
330 : suffix: 11
331 : args: -eps_type {{krylovschur arnoldi gd jd}}
332 : test:
333 : suffix: 11_subspace
334 : args: -eps_type subspace -eps_conv_rel
335 : test:
336 : suffix: 11_ks_sinvert
337 : args: -st_type sinvert -eps_target 22
338 : test:
339 : suffix: 11_lanczos
340 : args: -eps_type lanczos -eps_lanczos_reorthog full
341 : test:
342 : suffix: 11_ciss
343 : args: -eps_type ciss -rg_interval_endpoints 20.8,22 -st_pc_factor_mat_solver_type hipsparse
344 : output_file: output/test1_1_ciss.out
345 :
346 : testset:
347 : args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type sor -mat_type aijhipsparse
348 : requires: hip
349 : output_file: output/test1_5.out
350 : test:
351 : suffix: 12_rqcg
352 : args: -eps_type rqcg
353 : test:
354 : suffix: 12_lobpcg
355 : args: -eps_type lobpcg -eps_lobpcg_blocksize 3
356 :
357 : TEST*/
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