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

Actual source code: test27.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[] = "Illustrates feeding exact eigenvectors as initial vectors of a second solve.\n\n"
     12:   "Based on ex2.\n"
     13:   "The command line options are:\n"
     14:   "  -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
     15:   "  -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n";

     17: #include <slepceps.h>

     19: int main(int argc,char **argv)
     20: {
     21:   Mat            A;
     22:   EPS            eps;
     23:   PetscInt       N,n=10,m,Istart,Iend,II,nev,nconv,i,j,neigs=5;
     24:   PetscBool      flag,terse;
     25:   Vec            v,*X;

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

     35:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     36:                     Create the 2-D Laplacian
     37:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     39:   MatCreate(PETSC_COMM_WORLD,&A);
     40:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);
     41:   MatSetFromOptions(A);
     42:   MatSetUp(A);
     43:   MatGetOwnershipRange(A,&Istart,&Iend);
     44:   for (II=Istart;II<Iend;II++) {
     45:     i = II/n; j = II-i*n;
     46:     if (i>0) MatSetValue(A,II,II-n,-1.0,INSERT_VALUES);
     47:     if (i<m-1) MatSetValue(A,II,II+n,-1.0,INSERT_VALUES);
     48:     if (j>0) MatSetValue(A,II,II-1,-1.0,INSERT_VALUES);
     49:     if (j<n-1) MatSetValue(A,II,II+1,-1.0,INSERT_VALUES);
     50:     MatSetValue(A,II,II,4.0,INSERT_VALUES);
     51:   }
     52:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     53:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
     54:   MatCreateVecs(A,&v,NULL);

     56:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     57:                 Create the eigensolver and set various options
     58:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     60:   EPSCreate(PETSC_COMM_WORLD,&eps);
     61:   EPSSetOperators(eps,A,NULL);
     62:   EPSSetProblemType(eps,EPS_HEP);
     63:   EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL);
     64:   EPSSetDimensions(eps,neigs,PETSC_DEFAULT,PETSC_DEFAULT);
     65:   EPSSetFromOptions(eps);

     67:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     68:                 Solve the eigensystem for the first time
     69:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     71:   EPSSolve(eps);
     72:   EPSGetDimensions(eps,&nev,NULL,NULL);
     73:   PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev);

     75:   EPSGetConverged(eps,&nconv);
     77:   VecDuplicateVecs(v,neigs,&X);
     78:   for (i=0;i<neigs;i++) EPSGetEigenvector(eps,i,X[i],NULL);

     80:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     81:                     Display solution of first solve
     82:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     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:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     94:           Solve the eigensystem again, feeding the initial vectors
     95:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     97:   PetscPrintf(PETSC_COMM_WORLD," Solving again with eigenvectors as initial guesses\n");
     98:   EPSSetInitialSpace(eps,neigs,X);
     99:   EPSSolve(eps);

    101:   if (terse) EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);
    102:   else {
    103:     PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL);
    104:     EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD);
    105:     EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD);
    106:     PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD);
    107:   }

    109:   VecDestroy(&v);
    110:   VecDestroyVecs(neigs,&X);
    111:   EPSDestroy(&eps);
    112:   MatDestroy(&A);
    113:   SlepcFinalize();
    114:   return 0;
    115: }

    117: /*TEST

    119:    test:
    120:       suffix: 1
    121:       args: -eps_type {{gd jd rqcg lobpcg}} -terse

    123:    testset:
    124:       args: -eps_interval .17,1.3 -terse
    125:       filter: grep -v "requested"
    126:       output_file: output/test27_2.out
    127:       test:
    128:          suffix: 2
    129:          args: -st_type filter -st_filter_degree 150 -eps_nev 1
    130:          requires: !single
    131:       test:
    132:          suffix: 2_evsl
    133:          nsize: {{1 2}}
    134:          args: -eps_type evsl
    135:          requires: evsl

    137: TEST*/