Date: 2022-11-02T11:46:58+00:00

Actual source code: test39.c
slepc-3.18.1 2022-11-02
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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 matrices of different local 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: /*
     19:    Create 2-D Laplacian matrix
     20: */
     21: PetscErrorCode Laplacian(MPI_Comm comm,PetscInt n,PetscInt m,PetscInt shift,Mat *A)
     22: {
     23:   PetscInt       N = n*m,i,j,II,Istart,Iend,nloc;
     24:   PetscMPIInt    rank;

     27:   MPI_Comm_rank(PETSC_COMM_WORLD,&rank);
     28:   nloc = PETSC_DECIDE;
     29:   PetscSplitOwnership(comm,&nloc,&N);
     30:   if (rank==0) nloc += shift;
     31:   else if (rank==1) nloc -= shift;

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

     51: int main(int argc,char **argv)
     52: {
     53:   Mat            A,B;
     54:   EPS            eps;
     55:   PetscInt       N,n=10,m=11,nev=3;
     56:   PetscMPIInt    size;
     57:   PetscBool      flag,terse;

     60:   SlepcInitialize(&argc,&argv,(char*)0,help);
     61:   MPI_Comm_size(PETSC_COMM_WORLD,&size);
     63:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     64:   PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag);
     65:   N = n*m;
     66:   PetscPrintf(PETSC_COMM_WORLD,"\n2-D Laplacian Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m);

     68:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     69:                 Create 2-D Laplacian matrices
     70:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     72:   Laplacian(PETSC_COMM_WORLD,n,m,1,&A);
     73:   Laplacian(PETSC_COMM_WORLD,n,m,-1,&B);

     75:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     76:         Create the eigensolver, set options and solve the eigensystem
     77:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     79:   PetscPrintf(PETSC_COMM_WORLD,"First solve:\n\n");
     80:   EPSCreate(PETSC_COMM_WORLD,&eps);
     81:   EPSSetOperators(eps,A,NULL);
     82:   EPSSetProblemType(eps,EPS_HEP);
     83:   EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL);
     84:   EPSSetDimensions(eps,nev,PETSC_DEFAULT,PETSC_DEFAULT);
     85:   EPSSetFromOptions(eps);

     87:   EPSSolve(eps);

     89:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     90:                     Display solution of first solve
     91:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     93:   PetscOptionsHasName(NULL,NULL,"-terse",&terse);
     94:   if (terse) EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);
     95:   else {
     96:     PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL);
     97:     EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD);
     98:     EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD);
     99:     PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD);
    100:   }

    102:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    103:                        Solve with second matrix
    104:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

    106:   PetscPrintf(PETSC_COMM_WORLD,"\nSecond solve:\n\n");
    107:   /* EPSReset(eps); */  /* not required, will be called in EPSSetOperators() */
    108:   EPSSetOperators(eps,B,NULL);
    109:   EPSSolve(eps);

    111:   if (terse) EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);
    112:   else {
    113:     PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL);
    114:     EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD);
    115:     EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD);
    116:     PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD);
    117:   }

    119:   EPSDestroy(&eps);
    120:   MatDestroy(&A);
    121:   MatDestroy(&B);
    122:   SlepcFinalize();
    123:   return 0;
    124: }

    126: /*TEST

    128:    testset:
    129:       nsize: 2
    130:       requires: !single
    131:       output_file: output/test39_1.out
    132:       test:
    133:          suffix: 1
    134:          args: -eps_type {{krylovschur arnoldi lobpcg lapack}} -terse
    135:       test:
    136:          suffix: 1_lanczos
    137:          args: -eps_type lanczos -eps_lanczos_reorthog local -terse

    139: TEST*/