Actual source code: test1.c

      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-, 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=PETSC_SMALL;
     22:   PetscInt          N,n=45,m,Istart,Iend,II,i,j,nconv;
     23:   PetscBool         flag,skiporth=PETSC_FALSE;
     24:   EPSPowerShiftType variant;

     26:   PetscFunctionBeginUser;
     27:   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
     28:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
     29:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
     30:   if (!flag) m=n;
     31:   N = n*m;
     32:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized Symmetric Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));
     33:   PetscCall(PetscOptionsGetBool(NULL,NULL,"-skiporth",&skiporth,NULL));

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

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

     43:   PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
     44:   PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N));
     45:   PetscCall(MatSetFromOptions(B));

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

     58:   PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
     59:   PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
     60:   PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
     61:   PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
     62:   PetscCall(MatCreateVecs(B,&v,NULL));

     64:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     65:                 Create the eigensolver and set various options
     66:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     68:   PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
     69:   PetscCall(EPSSetOperators(eps,A,B));
     70:   PetscCall(EPSSetProblemType(eps,EPS_GHEP));
     71:   PetscCall(EPSSetTolerances(eps,tol,PETSC_CURRENT));
     72:   PetscCall(EPSSetConvergenceTest(eps,EPS_CONV_NORM));
     73:   PetscCall(EPSSetFromOptions(eps));

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

     86:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     87:                       Solve the eigensystem
     88:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     90:   PetscCall(EPSSolve(eps));

     92:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     93:                     Display solution and clean up
     94:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

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

    108:   PetscCall(EPSDestroy(&eps));
    109:   PetscCall(MatDestroy(&A));
    110:   PetscCall(MatDestroy(&B));
    111:   PetscCall(VecDestroy(&v));
    112:   PetscCall(SlepcFinalize());
    113:   return 0;
    114: }

    116: /*TEST

    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

    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

    205:    testset:
    206:       requires: !single
    207:       args: -eps_tol 1e-10 -st_type sinvert -st_ksp_type preonly -st_pc_type cholesky
    208:       test:
    209:          suffix: 2
    210:          args: -eps_interval .1,1.1
    211:       test:
    212:          suffix: 2_open
    213:          args: -eps_interval -inf,1.1
    214:       test:
    215:          suffix: 2_parallel
    216:          requires: mumps !complex
    217:          nsize: 3
    218:          args: -eps_interval .1,1.1 -eps_krylovschur_partitions 2 -st_pc_factor_mat_solver_type mumps -st_mat_mumps_icntl_13 1
    219:          output_file: output/test1_2.out

    221:    test:
    222:       suffix: 3
    223:       requires: !single
    224:       args: -n 18 -eps_type power -eps_conv_rel -eps_nev 3

    226:    test:
    227:       suffix: 4
    228:       requires: !single
    229:       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}}

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

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

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

    284:    testset:
    285:       args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type sor -mat_type aijcusparse
    286:       requires: cuda
    287:       output_file: output/test1_5.out
    288:       test:
    289:          suffix: 8_rqcg
    290:          args: -eps_type rqcg
    291:       test:
    292:          suffix: 8_lobpcg
    293:          args: -eps_type lobpcg -eps_lobpcg_blocksize 3

    295:    testset:
    296:       nsize: 2
    297:       args: -n 18 -eps_nev 7 -eps_ncv 32 -ds_parallel synchronized
    298:       filter: grep -v "orthogonality" | sed -e "s/[+-]0\.0*i//g" | sed -e "s/0.61338/0.61339/g"
    299:       output_file: output/test1_9.out
    300:       test:
    301:          suffix: 9_ks_ghep
    302:          args: -eps_gen_hermitian -st_pc_type redundant -st_type sinvert
    303:       test:
    304:          suffix: 9_ks_gnhep
    305:          args: -eps_gen_non_hermitian -st_pc_type redundant -st_type sinvert
    306:       test:
    307:          suffix: 9_ks_ghiep
    308:          args: -eps_gen_indefinite -st_pc_type redundant -st_type sinvert
    309:          requires: !single
    310:       test:
    311:          suffix: 9_lobpcg_ghep
    312:          args: -eps_gen_hermitian -eps_type lobpcg -eps_max_it 200 -eps_lobpcg_blocksize 6
    313:          requires: !single
    314:          timeoutfactor: 2
    315:       test:
    316:          suffix: 9_jd_gnhep
    317:          args: -eps_gen_non_hermitian -eps_type jd -eps_target 0 -eps_ncv 64
    318:          requires: !single
    319:          timeoutfactor: 2

    321:    test:
    322:       suffix: 10_feast
    323:       args: -n 25 -eps_type feast -eps_interval .95,1.1 -eps_conv_rel -eps_tol 1e-6
    324:       requires: feast

    326:    testset:
    327:       args: -n 18 -eps_nev 4 -eps_max_it 1500 -mat_type aijhipsparse
    328:       requires: hip !single
    329:       output_file: output/test1_1.out
    330:       test:
    331:          suffix: 11
    332:          args: -eps_type {{krylovschur arnoldi gd jd}}
    333:       test:
    334:          suffix: 11_subspace
    335:          args: -eps_type subspace -eps_conv_rel
    336:       test:
    337:          suffix: 11_ks_sinvert
    338:          args: -st_type sinvert -eps_target 22
    339:       test:
    340:          suffix: 11_lanczos
    341:          args: -eps_type lanczos -eps_lanczos_reorthog full
    342:       test:
    343:          suffix: 11_ciss
    344:          args: -eps_type ciss -rg_interval_endpoints 20.8,22 -st_pc_factor_mat_solver_type hipsparse
    345:          output_file: output/test1_1_ciss.out

    347:    testset:
    348:       args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type sor -mat_type aijhipsparse
    349:       requires: hip
    350:       output_file: output/test1_5.out
    351:       test:
    352:          suffix: 12_rqcg
    353:          args: -eps_type rqcg
    354:       test:
    355:          suffix: 12_lobpcg
    356:          args: -eps_type lobpcg -eps_lobpcg_blocksize 3

    358: TEST*/