Date: 2021-02-01T14:41:59+00:00

Actual source code: test2.c
slepc-3.14.2 2021-02-01
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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 multiple calls to EPSSolve with the same matrix.\n\n";

     13: #include <slepceps.h>

     15: int main(int argc,char **argv)
     16: {
     17:   Mat            A;           /* problem matrix */
     18:   EPS            eps;         /* eigenproblem solver context */
     19:   ST             st;
     20:   PetscReal      tol=PetscMax(1000*PETSC_MACHINE_EPSILON,1e-9);
     21:   PetscInt       n=30,i,Istart,Iend;
     22:   PetscBool      flg;
     24:   EPSLanczosReorthogType reorth;

     26:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;

     28:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     29:   PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian Eigenproblem, n=%D\n\n",n);

     31:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     32:      Compute the operator matrix that defines the eigensystem, Ax=kx
     33:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     35:   MatCreate(PETSC_COMM_WORLD,&A);
     36:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n);
     37:   MatSetFromOptions(A);
     38:   MatSetUp(A);

     40:   MatGetOwnershipRange(A,&Istart,&Iend);
     41:   for (i=Istart;i<Iend;i++) {
     42:     if (i>0) { MatSetValue(A,i,i-1,-1.0,INSERT_VALUES); }
     43:     if (i<n-1) { MatSetValue(A,i,i+1,-1.0,INSERT_VALUES); }
     44:     MatSetValue(A,i,i,2.0,INSERT_VALUES);
     45:   }
     46:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     47:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);

     49:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     50:                         Create the eigensolver
     51:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     52:   EPSCreate(PETSC_COMM_WORLD,&eps);
     53:   EPSSetOperators(eps,A,NULL);
     54:   EPSSetProblemType(eps,EPS_HEP);
     55:   EPSSetTolerances(eps,tol,PETSC_DEFAULT);
     56:   EPSSetFromOptions(eps);

     58:   /* illustrate how to extract parameters from specific solver types */
     59:   PetscObjectTypeCompare((PetscObject)eps,EPSLANCZOS,&flg);
     60:   if (flg) {
     61:     EPSLanczosGetReorthog(eps,&reorth);
     62:     PetscPrintf(PETSC_COMM_WORLD,"Reorthogonalization type used in Lanczos: %s\n",EPSLanczosReorthogTypes[reorth]);
     63:   }

     65:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     66:                     Solve for largest eigenvalues
     67:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     68:   EPSSetWhichEigenpairs(eps,EPS_LARGEST_REAL);
     69:   EPSSolve(eps);
     70:   PetscPrintf(PETSC_COMM_WORLD," - - - Largest eigenvalues - - -\n");
     71:   EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);

     73:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     74:                     Solve for smallest eigenvalues
     75:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     76:   EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL);
     77:   EPSSolve(eps);
     78:   PetscPrintf(PETSC_COMM_WORLD," - - - Smallest eigenvalues - - -\n");
     79:   EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);

     81:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     82:                     Solve for interior eigenvalues (target=2.1)
     83:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     84:   EPSSetWhichEigenpairs(eps,EPS_TARGET_MAGNITUDE);
     85:   EPSSetTarget(eps,2.1);
     86:   PetscObjectTypeCompare((PetscObject)eps,EPSLANCZOS,&flg);
     87:   if (flg) {
     88:     EPSGetST(eps,&st);
     89:     STSetType(st,STSINVERT);
     90:   } else {
     91:     PetscObjectTypeCompare((PetscObject)eps,EPSKRYLOVSCHUR,&flg);
     92:     if (!flg) {
     93:       PetscObjectTypeCompare((PetscObject)eps,EPSARNOLDI,&flg);
     94:     }
     95:     if (flg) {
     96:       EPSSetExtraction(eps,EPS_HARMONIC);
     97:     }
     98:   }
     99:   EPSSolve(eps);
    100:   PetscPrintf(PETSC_COMM_WORLD," - - - Interior eigenvalues - - -\n");
    101:   EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);

    103:   EPSDestroy(&eps);
    104:   MatDestroy(&A);
    105:   SlepcFinalize();
    106:   return ierr;
    107: }

    109: /*TEST

    111:    testset:
    112:       args: -eps_nev 4
    113:       requires: !single
    114:       output_file: output/test2_1.out
    115:       test:
    116:          suffix: 1
    117:          args: -eps_type {{arnoldi gd jd lapack}}
    118:       test:
    119:          suffix: 1_gd2
    120:          args: -eps_type gd -eps_gd_double_expansion
    121:          timeoutfactor: 2
    122:       test:
    123:          suffix: 1_krylovschur
    124:          args: -eps_type krylovschur -eps_krylovschur_locking {{0 1}}
    125:       test:
    126:          suffix: 1_scalapack
    127:          requires: scalapack
    128:          args: -eps_type scalapack
    129:       test:
    130:          suffix: 1_elpa
    131:          requires: elpa
    132:          args: -eps_type elpa
    133:       test:
    134:          suffix: 1_elemental
    135:          requires: elemental
    136:          args: -eps_type elemental

    138:    testset:
    139:       args: -eps_type lanczos -eps_nev 4
    140:       requires: !single
    141:       filter: grep -v "Lanczos"
    142:       output_file: output/test2_1.out
    143:       test:
    144:          suffix: 2
    145:          args: -eps_lanczos_reorthog {{local full selective periodic partial}}

    147:    testset:
    148:       args: -n 32 -eps_nev 4
    149:       requires: !single
    150:       output_file: output/test2_3.out
    151:       test:
    152:          nsize: 2
    153:          suffix: 3
    154:          args: -eps_type {{krylovschur lapack}}
    155:       test:
    156:          nsize: 2
    157:          suffix: 3_gd
    158:          args: -eps_type gd -eps_gd_krylov_start
    159:          timeoutfactor: 2
    160:       test:
    161:          suffix: 3_jd
    162:          args: -eps_type jd -eps_jd_krylov_start -eps_ncv 18

    164:    testset:
    165:       args: -eps_nev 4 -mat_type aijcusparse
    166:       requires: cuda !single
    167:       output_file: output/test2_1.out
    168:       test:
    169:          suffix: 4_cuda
    170:          args: -eps_type {{krylovschur arnoldi gd jd}}

    172: TEST*/