GCC Code Coverage Report


Directory: ./
File: src/eps/tests/test1.c
Date: 2026-09-29 04:16:25
Exec Total Coverage
Lines: 66 66 100.0%
Functions: 1 1 100.0%
Branches: 218 320 68.1%

Line Branch Exec Source
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
15 530 int main(int argc,char **argv)
16 {
17 530 Mat A,B; /* matrices */
18 530 EPS eps; /* eigenproblem solver context */
19 530 ST st;
20 530 Vec *X,v;
21 530 PetscReal lev=0.0,tol=PETSC_SMALL;
22 530 PetscInt N,n=45,m,Istart,Iend,II,i,j,nconv;
23 530 PetscBool flag,skiporth=PETSC_FALSE;
24 530 EPSPowerShiftType variant;
25
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530 PetscFunctionBeginUser;
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530 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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530 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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530 PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
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530 if (!flag) m=n;
31 530 N = n*m;
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530 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized Symmetric Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
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530 PetscCall(PetscOptionsGetBool(NULL,NULL,"-skiporth",&skiporth,NULL));
34
35 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
36 Compute the matrices that define the eigensystem, Ax=kBx
37 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
38
39
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530 PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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530 PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
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530 PetscCall(MatSetFromOptions(A));
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530 PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
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530 PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N));
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530 PetscCall(MatSetFromOptions(B));
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530 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
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187640 for (II=Istart;II<Iend;II++) {
49 187110 i = II/n; j = II-i*n;
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187110 if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
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187110 if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
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187110 if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
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187110 if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
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187110 PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
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187110 PetscCall(MatSetValue(B,II,II,2.0/PetscLogScalar(II+2),INSERT_VALUES));
56 }
57
58
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530 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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530 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
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530 PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
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530 PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
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530 PetscCall(MatCreateVecs(B,&v,NULL));
63
64 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
65 Create the eigensolver and set various options
66 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
67
68
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530 PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
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530 PetscCall(EPSSetOperators(eps,A,B));
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530 PetscCall(EPSSetProblemType(eps,EPS_GHEP));
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530 PetscCall(EPSSetTolerances(eps,tol,PETSC_CURRENT));
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530 PetscCall(EPSSetConvergenceTest(eps,EPS_CONV_NORM));
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530 PetscCall(EPSSetFromOptions(eps));
74
75 /* illustrate how to extract parameters from specific solver types */
76
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530 PetscCall(PetscObjectTypeCompare((PetscObject)eps,EPSPOWER,&flag));
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530 if (flag) {
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40 PetscCall(EPSGetST(eps,&st));
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40 PetscCall(PetscObjectTypeCompare((PetscObject)st,STSHIFT,&flag));
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40 if (flag) {
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10 PetscCall(EPSPowerGetShiftType(eps,&variant));
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10 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
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530 PetscCall(EPSSolve(eps));
91
92 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
93 Display solution and clean up
94 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
95
96
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530 PetscCall(EPSGetTolerances(eps,&tol,NULL));
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530 PetscCall(EPSErrorView(eps,EPS_ERROR_BACKWARD,NULL));
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530 PetscCall(EPSGetConverged(eps,&nconv));
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530 if (nconv>1) {
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530 PetscCall(VecDuplicateVecs(v,nconv,&X));
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17390 for (i=0;i<nconv;i++) PetscCall(EPSGetEigenvector(eps,i,X[i],NULL));
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530 if (!skiporth) PetscCall(VecCheckOrthonormality(X,nconv,NULL,nconv,B,NULL,&lev));
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530 if (lev<10*tol) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n"));
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60 else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)lev));
105
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530 PetscCall(VecDestroyVecs(nconv,&X));
106 }
107
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530 PetscCall(EPSDestroy(&eps));
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530 PetscCall(MatDestroy(&A));
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530 PetscCall(MatDestroy(&B));
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530 PetscCall(VecDestroy(&v));
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530 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 !__float128
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 requires: !__float128
190 test:
191 suffix: 1_ciss_gnhep
192 args: -eps_gen_non_hermitian -skiporth
193 test:
194 suffix: 1_ciss_trapezoidal
195 args: -eps_ciss_quadrule trapezoidal -eps_ciss_integration_points 24 -eps_ciss_extraction hankel -eps_ciss_delta 1e-10 -eps_tol 5e-11 -skiporth
196 test:
197 suffix: 1_ciss_cuda
198 args: -mat_type aijcusparse -st_pc_factor_mat_solver_type cusparse
199 requires: cuda
200 test:
201 suffix: 1_ciss_hip
202 args: -mat_type aijhipsparse -st_pc_factor_mat_solver_type hipsparse
203 requires: hip
204 test:
205 suffix: 1_ciss_kokkos
206 TODO: CISS crashes with kokkos
207 args: -mat_type aijkokkos -st_pc_factor_mat_solver_type kokkos
208 requires: hip kokkos_kernels
209
210 testset:
211 requires: !single
212 args: -eps_tol 1e-10 -st_type sinvert -st_ksp_type preonly -st_pc_type cholesky
213 test:
214 suffix: 2
215 args: -eps_interval .1,1.1
216 test:
217 suffix: 2_open
218 args: -eps_interval -inf,1.1
219 test:
220 suffix: 2_parallel
221 requires: mumps !complex
222 nsize: 3
223 args: -eps_interval .1,1.1 -eps_krylovschur_partitions 2 -st_pc_factor_mat_solver_type mumps -st_mat_mumps_icntl_13 1
224 output_file: output/test1_2.out
225
226 test:
227 suffix: 3
228 requires: !single
229 args: -n 18 -eps_type power -eps_conv_rel -eps_nev 3
230
231 test:
232 suffix: 4
233 requires: !single
234 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}}
235
236 testset:
237 args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type icc
238 output_file: output/test1_5.out
239 test:
240 suffix: 5_rqcg
241 args: -eps_type rqcg
242 test:
243 suffix: 5_lobpcg
244 args: -eps_type lobpcg -eps_lobpcg_blocksize 3
245 test:
246 suffix: 5_hpddm
247 args: -eps_type lobpcg -eps_lobpcg_blocksize 3 -st_pc_type lu -st_ksp_type hpddm
248 requires: hpddm
249 test:
250 suffix: 5_blopex
251 args: -eps_type blopex -eps_conv_abs -st_shift 0.1
252 requires: blopex
253
254 testset:
255 args: -n 18 -eps_nev 12 -eps_mpd 8 -eps_max_it 3000
256 requires: !single
257 output_file: output/test1_6.out
258 test:
259 suffix: 6
260 args: -eps_type {{krylovschur arnoldi gd}}
261 test:
262 suffix: 6_lanczos
263 args: -eps_type lanczos -eps_lanczos_reorthog full
264 test:
265 suffix: 6_subspace
266 args: -eps_type subspace -eps_conv_rel
267
268 testset:
269 args: -n 18 -eps_nev 4 -eps_max_it 1500 -mat_type aijcusparse
270 requires: cuda !single
271 output_file: output/test1_1.out
272 test:
273 suffix: 7
274 args: -eps_type {{krylovschur arnoldi gd jd}}
275 test:
276 suffix: 7_subspace
277 args: -eps_type subspace -eps_conv_rel
278 test:
279 suffix: 7_ks_sinvert
280 args: -st_type sinvert -eps_target 22
281 test:
282 suffix: 7_lanczos
283 args: -eps_type lanczos -eps_lanczos_reorthog full
284 test:
285 suffix: 7_ciss
286 args: -eps_type ciss -rg_interval_endpoints 20.8,22 -st_pc_factor_mat_solver_type cusparse
287 output_file: output/test1_1_ciss.out
288
289 testset:
290 args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type sor -mat_type aijcusparse
291 requires: cuda
292 output_file: output/test1_5.out
293 test:
294 suffix: 8_rqcg
295 args: -eps_type rqcg
296 test:
297 suffix: 8_lobpcg
298 args: -eps_type lobpcg -eps_lobpcg_blocksize 3
299
300 testset:
301 nsize: 2
302 args: -n 18 -eps_nev 7 -eps_ncv 32 -ds_parallel synchronized
303 filter: grep -v "orthogonality" | sed -e "s/[+-]0\.0*i//g" | sed -e "s/0.61338/0.61339/g"
304 output_file: output/test1_9.out
305 test:
306 suffix: 9_ks_ghep
307 args: -eps_gen_hermitian -st_pc_type redundant -st_type sinvert
308 test:
309 suffix: 9_ks_gnhep
310 args: -eps_gen_non_hermitian -st_pc_type redundant -st_type sinvert
311 test:
312 suffix: 9_ks_ghiep
313 args: -eps_gen_indefinite -st_pc_type redundant -st_type sinvert
314 requires: !single
315 test:
316 suffix: 9_lobpcg_ghep
317 args: -eps_gen_hermitian -eps_type lobpcg -eps_max_it 200 -eps_lobpcg_blocksize 6
318 requires: !single
319 timeoutfactor: 2
320 test:
321 suffix: 9_jd_gnhep
322 args: -eps_gen_non_hermitian -eps_type jd -eps_target 0 -eps_ncv 64
323 requires: !single
324 timeoutfactor: 2
325
326 test:
327 suffix: 10_feast
328 args: -n 25 -eps_type feast -eps_interval .95,1.1 -eps_conv_rel -eps_tol 1e-6
329 requires: feast
330
331 testset:
332 args: -n 18 -eps_nev 4 -eps_max_it 1500 -mat_type aijhipsparse
333 requires: hip !single
334 output_file: output/test1_1.out
335 test:
336 suffix: 11
337 args: -eps_type {{krylovschur arnoldi gd jd}}
338 test:
339 suffix: 11_subspace
340 args: -eps_type subspace -eps_conv_rel
341 test:
342 suffix: 11_ks_sinvert
343 args: -st_type sinvert -eps_target 22
344 test:
345 suffix: 11_lanczos
346 args: -eps_type lanczos -eps_lanczos_reorthog full
347 test:
348 suffix: 11_ciss
349 args: -eps_type ciss -rg_interval_endpoints 20.8,22 -st_pc_factor_mat_solver_type hipsparse
350 output_file: output/test1_1_ciss.out
351
352 testset:
353 args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type sor -mat_type aijhipsparse
354 requires: hip
355 output_file: output/test1_5.out
356 test:
357 suffix: 12_rqcg
358 args: -eps_type rqcg
359 test:
360 suffix: 12_lobpcg
361 args: -eps_type lobpcg -eps_lobpcg_blocksize 3
362
363 TEST*/
364