Date: 2026-05-01T10:02:30+00:00

Actual source code: test32.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 a GHEP problem with symmetric matrices.\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:   KSP            ksp;
     21:   PC             pc;
     22:   PCType         pctype;
     23:   PetscInt       N,n=45,m,Istart,Iend,II,i,j;
     24:   PetscBool      flag;

     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));

     34:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     35:      Compute the matrices that define the eigensystem, Ax=kBx
     36:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

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

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

     46:   PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
     47:   for (II=Istart;II<Iend;II++) {
     48:     i = II/n; j = II-i*n;
     49:     if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
     50:     if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
     51:     if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
     52:     if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
     53:     PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
     54:     PetscCall(MatSetValue(B,II,II,2.0/PetscLogScalar(II+2),INSERT_VALUES));
     55:   }
     56:   PetscCall(MatSetValue(B,0,1,0.4,INSERT_VALUES));
     57:   PetscCall(MatSetValue(B,1,0,0.4,INSERT_VALUES));

     59:   PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
     60:   PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
     61:   PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
     62:   PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));

     64:   PetscCall(MatSetOption(A,MAT_SYMMETRIC,PETSC_TRUE));
     65:   PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
     66:   PetscCall(MatSetOption(B,MAT_SYMMETRIC,PETSC_TRUE));
     67:   PetscCall(MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE));

     69:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     70:                 Create the eigensolver and solve the problem
     71:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     73:   PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
     74:   PetscCall(EPSSetOperators(eps,A,B));
     75:   PetscCall(EPSSetProblemType(eps,EPS_GHEP));
     76:   PetscCall(EPSSetFromOptions(eps));
     77:   PetscCall(EPSSetUp(eps));
     78:   PetscCall(EPSGetST(eps,&st));
     79:   PetscCall(STGetKSP(st,&ksp));
     80:   PetscCall(KSPGetPC(ksp,&pc));
     81:   PetscCall(PCGetType(pc,&pctype));
     82:   PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using %s for the PC\n",pctype));
     83:   PetscCall(EPSSolve(eps));
     84:   PetscCall(EPSErrorView(eps,EPS_ERROR_BACKWARD,NULL));

     86:   PetscCall(EPSDestroy(&eps));
     87:   PetscCall(MatDestroy(&A));
     88:   PetscCall(MatDestroy(&B));
     89:   PetscCall(SlepcFinalize());
     90:   return 0;
     91: }

     93: /*TEST

     95:    test:
     96:       suffix: 1
     97:       args: -n 18 -eps_nev 3 -st_type sinvert -eps_target 1.02

     99:    test:
    100:       suffix: 2
    101:       args: -n 18 -eps_type ciss -rg_interval_endpoints 1.0,1.2
    102:       requires: !single

    104:    testset:
    105:       nsize: {{1 4}}
    106:       args: -n 8 -eps_nev 60 -st_pc_type redundant
    107:       filter: grep -v Using
    108:       requires: !single
    109:       output_file: output/test32_3.out
    110:       test:
    111:          suffix: 3
    112:       test:
    113:          suffix: 3_gnhep
    114:          args: -eps_gen_non_hermitian

    116:    testset:
    117:       nsize: {{1 4}}
    118:       args: -n 8 -eps_nev 64 -st_pc_type redundant
    119:       filter: grep -v Using
    120:       requires: !single
    121:       output_file: output/test32_4.out
    122:       test:
    123:          suffix: 4
    124:       test:
    125:          suffix: 4_gnhep
    126:          args: -eps_gen_non_hermitian

    128:    testset:
    129:       requires: !single
    130:       args: -eps_tol 1e-10 -st_type sinvert -st_ksp_type preonly -st_pc_type cholesky -eps_interval .8,1.1 -eps_krylovschur_partitions 2
    131:       output_file: output/test32_5.out
    132:       nsize: 3
    133:       filter: grep -v Using
    134:       test:
    135:          suffix: 5_redundant
    136:          args: -st_pc_type redundant -st_redundant_pc_type cholesky
    137:       test:
    138:          suffix: 5_mumps
    139:          requires: mumps !complex
    140:          args: -st_pc_factor_mat_solver_type mumps -st_mat_mumps_icntl_13 1
    141:       test:
    142:          suffix: 5_superlu
    143:          requires: superlu_dist
    144:          args: -st_pc_factor_mat_solver_type superlu_dist -st_mat_superlu_dist_rowperm NOROWPERM
    145:          timeoutfactor: 10

    147: TEST*/