Date: 2022-03-31T15:29:13+00:00

Actual source code: test18.c
slepc-3.17.0 2022-03-31
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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[] = "Symmetric-indefinite eigenproblem.\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;             /* problem matrices */
     21:   EPS            eps;             /* eigenproblem solver context */
     22:   PetscInt       N,n=10,m,Istart,Iend,II,nev,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:   if (!flag) m=n;
     29:   N = n*m;
     30:   PetscPrintf(PETSC_COMM_WORLD,"\nSymmetric-indefinite eigenproblem, N=%" PetscInt_FMT "\n\n",N);

     32:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     33:           Compute the matrices that define the eigensystem, Ax=kBx
     34:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

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

     41:   MatCreate(PETSC_COMM_WORLD,&B);
     42:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N);
     43:   MatSetFromOptions(B);
     44:   MatSetUp(B);

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

     57:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     58:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
     59:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
     60:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);

     62:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     63:                 Create the eigensolver and set various options
     64:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     66:   EPSCreate(PETSC_COMM_WORLD,&eps);
     67:   EPSSetOperators(eps,A,B);
     68:   EPSSetProblemType(eps,EPS_GHIEP);
     69:   EPSSetFromOptions(eps);

     71:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     72:                       Solve the eigensystem
     73:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     75:   EPSSolve(eps);
     76:   EPSGetDimensions(eps,&nev,NULL,NULL);
     77:   PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev);

     79:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     80:                     Display solution and clean up
     81:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     83:   /* show detailed info unless -terse option is given by user */
     84:   PetscOptionsHasName(NULL,NULL,"-terse",&terse);
     85:   if (terse) EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);
     86:   else {
     87:     PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL);
     88:     EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD);
     89:     EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD);
     90:     PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD);
     91:   }

     93:   EPSDestroy(&eps);
     94:   MatDestroy(&A);
     95:   MatDestroy(&B);
     96:   SlepcFinalize();
     97:   return 0;
     98: }

    100: /*TEST

    102:    testset:
    103:       args: -eps_nev 4 -eps_ncv 12 -terse -st_type sinvert -eps_krylovschur_restart .3
    104:       requires: !single
    105:       output_file: output/test18_1.out
    106:       test:
    107:          suffix: 1_ks
    108:       test:
    109:          suffix: 1_ks_gnhep
    110:          args: -eps_gen_non_hermitian
    111:       test:
    112:          suffix: 2_cuda_ks
    113:          args: -mat_type aijcusparse
    114:          requires: cuda
    115:       test:
    116:          suffix: 2_cuda_ks_gnhep
    117:          args: -eps_gen_non_hermitian -mat_type aijcusparse
    118:          requires: cuda

    120:    test:
    121:       suffix: 2
    122:       args: -n 10 -m 11 -eps_type {{gd jd}} -eps_target 0.2 -eps_harmonic -eps_nev 2 -eps_ncv 11 -terse
    123:       requires: !single
    124:       filter: sed -e "s/[+-]0\.0*i//g"

    126: TEST*/