Date: 2022-08-09T09:05:38+00:00

Actual source code: test28.c
slepc-3.17.2 2022-08-09
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      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 multiple calls to EPSSolve with different matrix of different size.\n\n"
     12:   "The command line options are:\n"
     13:   "  -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
     14:   "  -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n";

     16: #include <slepceps.h>

     18: int main(int argc,char **argv)
     19: {
     20:   Mat            A,B;
     21:   EPS            eps;
     22:   PetscInt       N,n=10,m=11,Istart,Iend,II,nev=3,i,j;
     23:   PetscBool      flag,terse;

     25:   SlepcInitialize(&argc,&argv,(char*)0,help);
     26:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     27:   PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag);
     28:   N = n*m;
     29:   PetscPrintf(PETSC_COMM_WORLD,"\n2-D Laplacian Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m);

     31:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     32:                 Create the 2-D Laplacian with coarse mesh
     33:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     35:   MatCreate(PETSC_COMM_WORLD,&A);
     36:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);
     37:   MatSetFromOptions(A);
     38:   MatSetUp(A);
     39:   MatGetOwnershipRange(A,&Istart,&Iend);
     40:   for (II=Istart;II<Iend;II++) {
     41:     i = II/n; j = II-i*n;
     42:     if (i>0) MatSetValue(A,II,II-n,-1.0,INSERT_VALUES);
     43:     if (i<m-1) MatSetValue(A,II,II+n,-1.0,INSERT_VALUES);
     44:     if (j>0) MatSetValue(A,II,II-1,-1.0,INSERT_VALUES);
     45:     if (j<n-1) MatSetValue(A,II,II+1,-1.0,INSERT_VALUES);
     46:     MatSetValue(A,II,II,4.0,INSERT_VALUES);
     47:   }
     48:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     49:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);

     51:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     52:         Create the eigensolver, set options and solve the eigensystem
     53:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     55:   EPSCreate(PETSC_COMM_WORLD,&eps);
     56:   EPSSetOperators(eps,A,NULL);
     57:   EPSSetProblemType(eps,EPS_HEP);
     58:   EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL);
     59:   EPSSetDimensions(eps,nev,PETSC_DEFAULT,PETSC_DEFAULT);
     60:   EPSSetFromOptions(eps);

     62:   EPSSolve(eps);

     64:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     65:                     Display solution of first solve
     66:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     68:   PetscOptionsHasName(NULL,NULL,"-terse",&terse);
     69:   if (terse) EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);
     70:   else {
     71:     PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL);
     72:     EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD);
     73:     EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD);
     74:     PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD);
     75:   }

     77:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     78:                Create the 2-D Laplacian with finer mesh
     79:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     81:   n *= 2;
     82:   m *= 2;
     83:   N = n*m;
     84:   PetscPrintf(PETSC_COMM_WORLD,"\n2-D Laplacian Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m);

     86:   MatCreate(PETSC_COMM_WORLD,&B);
     87:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N);
     88:   MatSetFromOptions(B);
     89:   MatSetUp(B);
     90:   MatGetOwnershipRange(B,&Istart,&Iend);
     91:   for (II=Istart;II<Iend;II++) {
     92:     i = II/n; j = II-i*n;
     93:     if (i>0) MatSetValue(B,II,II-n,-1.0,INSERT_VALUES);
     94:     if (i<m-1) MatSetValue(B,II,II+n,-1.0,INSERT_VALUES);
     95:     if (j>0) MatSetValue(B,II,II-1,-1.0,INSERT_VALUES);
     96:     if (j<n-1) MatSetValue(B,II,II+1,-1.0,INSERT_VALUES);
     97:     MatSetValue(B,II,II,4.0,INSERT_VALUES);
     98:   }
     99:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
    100:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);

    102:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    103:        Solve again, calling EPSReset() since matrix size has changed
    104:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

    106:   /*EPSReset(eps);*/  /* not required, will be called in EPSSetOperators() */
    107:   EPSSetOperators(eps,B,NULL);
    108:   EPSSolve(eps);

    110:   if (terse) EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);
    111:   else {
    112:     PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL);
    113:     EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD);
    114:     EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD);
    115:     PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD);
    116:   }

    118:   EPSDestroy(&eps);
    119:   MatDestroy(&A);
    120:   MatDestroy(&B);
    121:   SlepcFinalize();
    122:   return 0;
    123: }

    125: /*TEST

    127:    testset:
    128:       requires: !single
    129:       output_file: output/test28_1.out
    130:       test:
    131:          suffix: 1
    132:          args: -eps_type {{krylovschur arnoldi gd jd rqcg lobpcg lapack}} -terse
    133:       test:
    134:          suffix: 1_lanczos
    135:          args: -eps_type lanczos -eps_lanczos_reorthog local -terse

    137:    test:
    138:       suffix: 2
    139:       args: -eps_type {{power subspace}} -eps_target 8 -st_type sinvert -terse

    141:    testset:
    142:       args: -eps_interval 0.5,0.67 -terse
    143:       output_file: output/test28_3.out
    144:       test:
    145:          suffix: 3
    146:          args: -st_type sinvert -st_pc_type cholesky
    147:          requires: !single
    148:       test:
    149:          suffix: 3_evsl
    150:          nsize: {{1 2}}
    151:          args: -eps_type evsl -eps_evsl_dos_method lanczos
    152:          requires: evsl

    154: TEST*/