Date: 2023-09-05T10:18:31+00:00

Actual source code: test10.c
slepc-3.19.2 2023-09-05
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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 a user-defined convergence test in PEP (based on ex16.c).\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 <slepcpep.h>

     18: /*
     19:   MyConvergedRel - Convergence test relative to the norm of M (given in ctx).
     20: */
     21: PetscErrorCode MyConvergedRel(PEP pep,PetscScalar eigr,PetscScalar eigi,PetscReal res,PetscReal *errest,void *ctx)
     22: {
     23:   PetscReal norm = *(PetscReal*)ctx;

     25:   PetscFunctionBegin;
     26:   *errest = res/norm;
     27:   PetscFunctionReturn(PETSC_SUCCESS);
     28: }

     30: int main(int argc,char **argv)
     31: {
     32:   Mat            M,C,K,A[3];      /* problem matrices */
     33:   PEP            pep;             /* polynomial eigenproblem solver context */
     34:   PetscInt       N,n=10,m,Istart,Iend,II,nev,i,j;
     35:   PetscBool      flag;
     36:   PetscReal      norm;

     38:   PetscFunctionBeginUser;
     39:   PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));

     41:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
     42:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
     43:   if (!flag) m=n;
     44:   N = n*m;
     45:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nQuadratic Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m));

     47:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     48:      Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0
     49:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     51:   /* K is the 2-D Laplacian */
     52:   PetscCall(MatCreate(PETSC_COMM_WORLD,&K));
     53:   PetscCall(MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,N,N));
     54:   PetscCall(MatSetFromOptions(K));
     55:   PetscCall(MatSetUp(K));
     56:   PetscCall(MatGetOwnershipRange(K,&Istart,&Iend));
     57:   for (II=Istart;II<Iend;II++) {
     58:     i = II/n; j = II-i*n;
     59:     if (i>0) PetscCall(MatSetValue(K,II,II-n,-1.0,INSERT_VALUES));
     60:     if (i<m-1) PetscCall(MatSetValue(K,II,II+n,-1.0,INSERT_VALUES));
     61:     if (j>0) PetscCall(MatSetValue(K,II,II-1,-1.0,INSERT_VALUES));
     62:     if (j<n-1) PetscCall(MatSetValue(K,II,II+1,-1.0,INSERT_VALUES));
     63:     PetscCall(MatSetValue(K,II,II,4.0,INSERT_VALUES));
     64:   }
     65:   PetscCall(MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY));
     66:   PetscCall(MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY));

     68:   /* C is the 1-D Laplacian on horizontal lines */
     69:   PetscCall(MatCreate(PETSC_COMM_WORLD,&C));
     70:   PetscCall(MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,N,N));
     71:   PetscCall(MatSetFromOptions(C));
     72:   PetscCall(MatSetUp(C));
     73:   PetscCall(MatGetOwnershipRange(C,&Istart,&Iend));
     74:   for (II=Istart;II<Iend;II++) {
     75:     i = II/n; j = II-i*n;
     76:     if (j>0) PetscCall(MatSetValue(C,II,II-1,-1.0,INSERT_VALUES));
     77:     if (j<n-1) PetscCall(MatSetValue(C,II,II+1,-1.0,INSERT_VALUES));
     78:     PetscCall(MatSetValue(C,II,II,2.0,INSERT_VALUES));
     79:   }
     80:   PetscCall(MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY));
     81:   PetscCall(MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY));

     83:   /* M is a diagonal matrix */
     84:   PetscCall(MatCreate(PETSC_COMM_WORLD,&M));
     85:   PetscCall(MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,N,N));
     86:   PetscCall(MatSetFromOptions(M));
     87:   PetscCall(MatSetUp(M));
     88:   PetscCall(MatGetOwnershipRange(M,&Istart,&Iend));
     89:   for (II=Istart;II<Iend;II++) PetscCall(MatSetValue(M,II,II,(PetscReal)(II+1),INSERT_VALUES));
     90:   PetscCall(MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY));
     91:   PetscCall(MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY));

     93:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     94:                 Create the eigensolver and set various options
     95:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     97:   PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep));
     98:   A[0] = K; A[1] = C; A[2] = M;
     99:   PetscCall(PEPSetOperators(pep,3,A));
    100:   PetscCall(PEPSetProblemType(pep,PEP_HERMITIAN));
    101:   PetscCall(PEPSetDimensions(pep,4,20,PETSC_DEFAULT));

    103:   /* setup convergence test relative to the norm of M */
    104:   PetscCall(MatNorm(M,NORM_1,&norm));
    105:   PetscCall(PEPSetConvergenceTestFunction(pep,MyConvergedRel,&norm,NULL));
    106:   PetscCall(PEPSetFromOptions(pep));

    108:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    109:                       Solve the eigensystem
    110:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

    112:   PetscCall(PEPSolve(pep));
    113:   PetscCall(PEPGetDimensions(pep,&nev,NULL,NULL));
    114:   PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));

    116:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    117:                     Display solution and clean up
    118:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

    120:   PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL));
    121:   PetscCall(PEPDestroy(&pep));
    122:   PetscCall(MatDestroy(&M));
    123:   PetscCall(MatDestroy(&C));
    124:   PetscCall(MatDestroy(&K));
    125:   PetscCall(SlepcFinalize());
    126:   return 0;
    127: }

    129: /*TEST

    131:    testset:
    132:       requires: double
    133:       suffix: 1

    135: TEST*/