Actual source code: test1.c

slepc-3.14.1 2020-12-08
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  1: /*
  2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
  4:    Copyright (c) 2002-2020, Universitat Politecnica de Valencia, Spain

  6:    This file is part of SLEPc.
  7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
  8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  9: */

 11: static char help[] = "Tests B-orthonormality of eigenvectors in a GHEP problem.\n\n";

 13: #include <slepceps.h>

 15: int main(int argc,char **argv)
 16: {
 17:   Mat               A,B;        /* matrices */
 18:   EPS               eps;        /* eigenproblem solver context */
 19:   ST                st;
 20:   Vec               *X,v;
 21:   PetscReal         lev=0.0,tol=1000*PETSC_MACHINE_EPSILON;
 22:   PetscInt          N,n=45,m,Istart,Iend,II,i,j,nconv;
 23:   PetscBool         flag,skiporth=PETSC_FALSE;
 24:   EPSPowerShiftType variant;
 25:   PetscErrorCode    ierr;

 27:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
 28:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
 29:   PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag);
 30:   if (!flag) m=n;
 31:   N = n*m;
 32:   PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized Symmetric Eigenproblem, N=%D (%Dx%D grid)\n\n",N,n,m);
 33:   PetscOptionsGetBool(NULL,NULL,"-skiporth",&skiporth,NULL);

 35:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 36:      Compute the matrices that define the eigensystem, Ax=kBx
 37:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 39:   MatCreate(PETSC_COMM_WORLD,&A);
 40:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);
 41:   MatSetFromOptions(A);
 42:   MatSetUp(A);

 44:   MatCreate(PETSC_COMM_WORLD,&B);
 45:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N);
 46:   MatSetFromOptions(B);
 47:   MatSetUp(B);

 49:   MatGetOwnershipRange(A,&Istart,&Iend);
 50:   for (II=Istart;II<Iend;II++) {
 51:     i = II/n; j = II-i*n;
 52:     if (i>0) { MatSetValue(A,II,II-n,-1.0,INSERT_VALUES); }
 53:     if (i<m-1) { MatSetValue(A,II,II+n,-1.0,INSERT_VALUES); }
 54:     if (j>0) { MatSetValue(A,II,II-1,-1.0,INSERT_VALUES); }
 55:     if (j<n-1) { MatSetValue(A,II,II+1,-1.0,INSERT_VALUES); }
 56:     MatSetValue(A,II,II,4.0,INSERT_VALUES);
 57:     MatSetValue(B,II,II,2.0/PetscLogScalar(II+2),INSERT_VALUES);
 58:   }

 60:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
 61:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
 62:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
 63:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
 64:   MatCreateVecs(B,&v,NULL);

 66:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 67:                 Create the eigensolver and set various options
 68:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 70:   EPSCreate(PETSC_COMM_WORLD,&eps);
 71:   EPSSetOperators(eps,A,B);
 72:   EPSSetProblemType(eps,EPS_GHEP);
 73:   EPSSetTolerances(eps,tol,PETSC_DEFAULT);
 74:   EPSSetConvergenceTest(eps,EPS_CONV_NORM);
 75:   EPSSetFromOptions(eps);

 77:   /* illustrate how to extract parameters from specific solver types */
 78:   PetscObjectTypeCompare((PetscObject)eps,EPSPOWER,&flag);
 79:   if (flag) {
 80:     EPSGetST(eps,&st);
 81:     PetscObjectTypeCompare((PetscObject)st,STSHIFT,&flag);
 82:     if (flag) {
 83:       EPSPowerGetShiftType(eps,&variant);
 84:       PetscPrintf(PETSC_COMM_WORLD,"Type of shifts used during power iteration: %s\n",EPSPowerShiftTypes[variant]);
 85:     }
 86:   }

 88:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 89:                       Solve the eigensystem
 90:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 92:   EPSSolve(eps);

 94:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 95:                     Display solution and clean up
 96:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 98:   EPSGetTolerances(eps,&tol,NULL);
 99:   EPSErrorView(eps,EPS_ERROR_BACKWARD,NULL);
100:   EPSGetConverged(eps,&nconv);
101:   if (nconv>1) {
102:     VecDuplicateVecs(v,nconv,&X);
103:     for (i=0;i<nconv;i++) {
104:       EPSGetEigenvector(eps,i,X[i],NULL);
105:     }
106:     if (!skiporth) { VecCheckOrthonormality(X,nconv,NULL,nconv,B,NULL,&lev); }
107:     if (lev<10*tol) {
108:       PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n");
109:     } else {
110:       PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)lev);
111:     }
112:     VecDestroyVecs(nconv,&X);
113:   }

115:   EPSDestroy(&eps);
116:   MatDestroy(&A);
117:   MatDestroy(&B);
118:   VecDestroy(&v);
119:   SlepcFinalize();
120:   return ierr;
121: }

123: /*TEST

125:    testset:
126:       args: -n 18 -eps_nev 4 -eps_max_it 1500
127:       requires: !single
128:       output_file: output/test1_1.out
129:       test:
130:          suffix: 1
131:          args: -eps_type {{krylovschur arnoldi gd jd lapack}}
132:       test:
133:          suffix: 1_subspace
134:          args: -eps_type subspace -eps_conv_rel
135:       test:
136:          suffix: 1_ks_nopurify
137:          args: -eps_purify 0
138:       test:
139:          suffix: 1_ks_trueres
140:          args: -eps_true_residual
141:       test:
142:          suffix: 1_ks_sinvert
143:          args: -st_type sinvert -eps_target 22
144:       test:
145:          suffix: 1_ks_cayley
146:          args: -st_type cayley -eps_target 22
147:       test:
148:          suffix: 1_lanczos
149:          args: -eps_type lanczos -eps_lanczos_reorthog full
150:       test:
151:          suffix: 1_gd2
152:          args: -eps_type gd -eps_gd_double_expansion
153:       test:
154:          suffix: 1_gd_borth
155:          args: -eps_type gd -eps_gd_borth
156:       test:
157:          suffix: 1_jd_borth
158:          args: -eps_type jd -eps_jd_borth
159:       test:
160:          suffix: 1_lobpcg
161:          args: -eps_type lobpcg -st_shift 22 -eps_largest_real
162:       test:
163:          suffix: 1_hpddm
164:          requires: hpddm
165:          args: -eps_type lobpcg -st_shift 22 -eps_largest_real -st_pc_type lu -st_ksp_type hpddm
166:       test:
167:          suffix: 1_cholesky
168:          args: -mat_type sbaij
169:       test:
170:          suffix: 1_scalapack
171:          nsize: {{1 2 3}}
172:          requires: scalapack
173:          args: -eps_type scalapack
174:       test:
175:          suffix: 1_elpa
176:          nsize: {{1 2 3}}
177:          requires: elpa
178:          args: -eps_type elpa
179:          filter: grep -v "Buffering level"
180:       test:
181:          suffix: 1_elemental
182:          nsize: {{1 2}}
183:          requires: elemental
184:          args: -eps_type elemental

186:    testset:
187:       args: -n 18 -eps_type ciss -rg_interval_endpoints 20.8,22
188:       requires: double
189:       output_file: output/test1_1_ciss.out
190:       test:
191:          suffix: 1_ciss
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

200:    testset:
201:       requires: !single
202:       args: -eps_tol 1e-10 -st_type sinvert -st_ksp_type preonly -st_pc_type cholesky
203:       test:
204:          suffix: 2
205:          args: -eps_interval .1,1.1
206:       test:
207:          suffix: 2_open
208:          args: -eps_interval -inf,1.1
209:       test:
210:          suffix: 2_parallel
211:          requires: mumps !complex
212:          nsize: 3
213:          args: -eps_interval .1,1.1 -eps_krylovschur_partitions 2 -st_pc_factor_mat_solver_type mumps -mat_mumps_icntl_13 1
214:          output_file: output/test1_2.out

216:    test:
217:       suffix: 3
218:       requires: !single
219:       args: -n 18 -eps_type power -eps_conv_rel -eps_nev 3

221:    test:
222:       suffix: 4
223:       requires: !single
224:       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}}

226:    testset:
227:       args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type icc
228:       output_file: output/test1_5.out
229:       test:
230:          suffix: 5_rqcg
231:          args: -eps_type rqcg
232:       test:
233:          suffix: 5_lobpcg
234:          args: -eps_type lobpcg -eps_lobpcg_blocksize 3
235:       test:
236:          suffix: 5_hpddm
237:          args: -eps_type lobpcg -eps_lobpcg_blocksize 3 -st_pc_type lu -st_ksp_type hpddm
238:          requires: hpddm
239:       test:
240:          suffix: 5_blopex
241:          args: -eps_type blopex -eps_conv_abs -st_shift 0.1
242:          requires: blopex

244:    testset:
245:       args: -n 18 -eps_nev 12 -eps_mpd 8 -eps_max_it 3000
246:       requires: !single
247:       output_file: output/test1_6.out
248:       test:
249:          suffix: 6
250:          args: -eps_type {{krylovschur arnoldi gd}}
251:       test:
252:          suffix: 6_lanczos
253:          args: -eps_type lanczos -eps_lanczos_reorthog full
254:       test:
255:          suffix: 6_subspace
256:          args: -eps_type subspace -eps_conv_rel

258:    testset:
259:       args: -n 18 -eps_nev 4 -eps_max_it 1500 -mat_type aijcusparse
260:       requires: cuda !single
261:       output_file: output/test1_1.out
262:       test:
263:          suffix: 7
264:          args: -eps_type {{krylovschur arnoldi gd jd}}
265:       test:
266:          suffix: 7_subspace
267:          args: -eps_type subspace -eps_conv_rel
268:       test:
269:          suffix: 7_ks_sinvert
270:          args: -st_type sinvert -eps_target 22
271:       test:
272:          suffix: 7_lanczos
273:          args: -eps_type lanczos -eps_lanczos_reorthog full
274:       test:
275:          suffix: 7_ciss
276:          args: -eps_type ciss -rg_interval_endpoints 20.8,22 -st_pc_factor_mat_solver_type cusparse
277:          output_file: output/test1_1_ciss.out

279:    testset:
280:       args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type sor -mat_type aijcusparse
281:       requires: cuda
282:       output_file: output/test1_5.out
283:       test:
284:          suffix: 8_rqcg
285:          args: -eps_type rqcg
286:       test:
287:          suffix: 8_lobpcg
288:          args: -eps_type lobpcg -eps_lobpcg_blocksize 3

290:    testset:
291:       nsize: 2
292:       args: -n 18 -eps_nev 7 -eps_ncv 32 -ds_parallel synchronized
293:       filter: grep -v "orthogonality"
294:       output_file: output/test1_9.out
295:       test:
296:          suffix: 9_ks_ghep
297:          args: -eps_gen_hermitian -st_pc_type redundant -st_type sinvert
298:       test:
299:          suffix: 9_ks_gnhep
300:          args: -eps_gen_non_hermitian -st_pc_type redundant -st_type sinvert
301:       test:
302:          suffix: 9_ks_ghiep
303:          args: -eps_gen_indefinite -st_pc_type redundant -st_type sinvert
304:          requires: !single
305:       test:
306:          suffix: 9_lobpcg_ghep
307:          args: -eps_gen_hermitian -eps_type lobpcg -eps_max_it 200 -eps_lobpcg_blocksize 6
308:          timeoutfactor: 2
309:       test:
310:          suffix: 9_jd_gnhep
311:          args: -eps_gen_non_hermitian -eps_type jd -eps_target 0 -eps_ncv 64
312:          requires: !single
313:          timeoutfactor: 2

315:    test:
316:       suffix: 10_feast
317:       args: -n 25 -eps_type feast -eps_interval .95,1.1 -eps_conv_rel -eps_tol 1e-6
318:       requires: feast

320: TEST*/