Actual source code: test8.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[] = "Test NEP view and monitor functionality.\n\n";

     13: #include <slepcnep.h>

     15: int main(int argc,char **argv)
     16: {
     17:   Mat                A[3];
     18:   FN                 f[3];
     19:   NEP                nep;
     20:   Vec                xr,xi;
     21:   PetscScalar        kr,ki,coeffs[3];
     22:   PetscInt           n=6,i,Istart,Iend,nconv,its;
     23:   PetscReal          errest;
     24:   PetscBool          checkfile;
     25:   char               filename[PETSC_MAX_PATH_LEN];
     26:   PetscViewer        viewer;

     28:   PetscFunctionBeginUser;
     29:   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
     30:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nDiagonal Nonlinear Eigenproblem, n=%" PetscInt_FMT "\n\n",n));

     32:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     33:         Generate the matrices
     34:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     36:   PetscCall(MatCreate(PETSC_COMM_WORLD,&A[0]));
     37:   PetscCall(MatSetSizes(A[0],PETSC_DECIDE,PETSC_DECIDE,n,n));
     38:   PetscCall(MatSetFromOptions(A[0]));
     39:   PetscCall(MatGetOwnershipRange(A[0],&Istart,&Iend));
     40:   for (i=Istart;i<Iend;i++) PetscCall(MatSetValue(A[0],i,i,i+1,INSERT_VALUES));
     41:   PetscCall(MatAssemblyBegin(A[0],MAT_FINAL_ASSEMBLY));
     42:   PetscCall(MatAssemblyEnd(A[0],MAT_FINAL_ASSEMBLY));

     44:   PetscCall(MatCreate(PETSC_COMM_WORLD,&A[1]));
     45:   PetscCall(MatSetSizes(A[1],PETSC_DECIDE,PETSC_DECIDE,n,n));
     46:   PetscCall(MatSetFromOptions(A[1]));
     47:   for (i=Istart;i<Iend;i++) PetscCall(MatSetValue(A[1],i,i,-1.5,INSERT_VALUES));
     48:   PetscCall(MatAssemblyBegin(A[1],MAT_FINAL_ASSEMBLY));
     49:   PetscCall(MatAssemblyEnd(A[1],MAT_FINAL_ASSEMBLY));

     51:   PetscCall(MatCreate(PETSC_COMM_WORLD,&A[2]));
     52:   PetscCall(MatSetSizes(A[2],PETSC_DECIDE,PETSC_DECIDE,n,n));
     53:   PetscCall(MatSetFromOptions(A[2]));
     54:   for (i=Istart;i<Iend;i++) PetscCall(MatSetValue(A[2],i,i,-1.0/(i+1),INSERT_VALUES));
     55:   PetscCall(MatAssemblyBegin(A[2],MAT_FINAL_ASSEMBLY));
     56:   PetscCall(MatAssemblyEnd(A[2],MAT_FINAL_ASSEMBLY));

     58:   /*
     59:      Functions: f0=1.0, f1=lambda, f2=lambda^2
     60:   */
     61:   PetscCall(FNCreate(PETSC_COMM_WORLD,&f[0]));
     62:   PetscCall(FNSetType(f[0],FNRATIONAL));
     63:   coeffs[0] = 1.0;
     64:   PetscCall(FNRationalSetNumerator(f[0],1,coeffs));

     66:   PetscCall(FNCreate(PETSC_COMM_WORLD,&f[1]));
     67:   PetscCall(FNSetType(f[1],FNRATIONAL));
     68:   coeffs[0] = 1.0; coeffs[1] = 0.0;
     69:   PetscCall(FNRationalSetNumerator(f[1],2,coeffs));

     71:   PetscCall(FNCreate(PETSC_COMM_WORLD,&f[2]));
     72:   PetscCall(FNSetType(f[2],FNRATIONAL));
     73:   coeffs[0] = 1.0; coeffs[1] = 0.0; coeffs[2] = 0.0;
     74:   PetscCall(FNRationalSetNumerator(f[2],3,coeffs));

     76:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     77:                       Create the NEP solver
     78:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     79:   PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep));
     80:   PetscCall(PetscObjectSetName((PetscObject)nep,"nep"));
     81:   PetscCall(NEPSetSplitOperator(nep,3,A,f,SAME_NONZERO_PATTERN));
     82:   PetscCall(NEPSetTarget(nep,1.1));
     83:   PetscCall(NEPSetWhichEigenpairs(nep,NEP_TARGET_MAGNITUDE));
     84:   PetscCall(NEPSetFromOptions(nep));

     86:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     87:                 Solve the eigensystem and display solution
     88:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     89:   PetscCall(NEPSolve(nep));
     90:   PetscCall(NEPGetConverged(nep,&nconv));
     91:   PetscCall(NEPGetIterationNumber(nep,&its));
     92:   PetscCall(PetscPrintf(PETSC_COMM_WORLD," %" PetscInt_FMT " converged eigenpairs after %" PetscInt_FMT " iterations\n",nconv,its));
     93:   if (nconv>0) {
     94:     PetscCall(MatCreateVecs(A[0],&xr,&xi));
     95:     PetscCall(NEPGetEigenpair(nep,0,&kr,&ki,xr,xi));
     96:     PetscCall(VecDestroy(&xr));
     97:     PetscCall(VecDestroy(&xi));
     98:     PetscCall(NEPGetErrorEstimate(nep,0,&errest));
     99:   }
    100:   PetscCall(NEPErrorView(nep,NEP_ERROR_BACKWARD,NULL));

    102:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    103:                    Check file containing the eigenvalues
    104:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    105:   PetscCall(PetscOptionsGetString(NULL,NULL,"-checkfile",filename,sizeof(filename),&checkfile));
    106:   if (checkfile) {
    107: #if defined(PETSC_HAVE_COMPLEX)
    108:     PetscComplex *eigs,eval;
    109:     PetscCall(PetscMalloc1(nconv,&eigs));
    110:     PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD,filename,FILE_MODE_READ,&viewer));
    111:     PetscCall(PetscViewerBinaryRead(viewer,eigs,nconv,NULL,PETSC_COMPLEX));
    112:     PetscCall(PetscViewerDestroy(&viewer));
    113:     for (i=0;i<nconv;i++) {
    114:       PetscCall(NEPGetEigenpair(nep,i,&kr,&ki,NULL,NULL));
    115: #if defined(PETSC_USE_COMPLEX)
    116:       eval = kr;
    117: #else
    118:       eval = PetscCMPLX(kr,ki);
    119: #endif
    120:       PetscCheck(eval==eigs[i],PETSC_COMM_WORLD,PETSC_ERR_FILE_UNEXPECTED,"Eigenvalues in the file do not match");
    121:     }
    122:     PetscCall(PetscFree(eigs));
    123: #else
    124:     SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,"The -checkfile option requires C99 complex numbers");
    125: #endif
    126:   }

    128:   PetscCall(NEPDestroy(&nep));
    129:   PetscCall(MatDestroy(&A[0]));
    130:   PetscCall(MatDestroy(&A[1]));
    131:   PetscCall(MatDestroy(&A[2]));
    132:   PetscCall(FNDestroy(&f[0]));
    133:   PetscCall(FNDestroy(&f[1]));
    134:   PetscCall(FNDestroy(&f[2]));
    135:   PetscCall(SlepcFinalize());
    136:   return 0;
    137: }

    139: /*TEST

    141:    test:
    142:       suffix: 1
    143:       args: -nep_type slp -nep_target -.5 -nep_error_backward ::ascii_info_detail -nep_view_values -nep_error_absolute ::ascii_matlab -nep_monitor_all -nep_converged_reason -nep_view
    144:       filter: grep -v "tolerance" | grep -v "problem type" | sed -e "s/[+-]0\.0*i//g" -e "s/+0i//" -e "s/[+-][0-9]\.[0-9]*e-[0-9]*i//g" -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
    145:       requires: double

    147:    test:
    148:       suffix: 2
    149:       args: -nep_type rii -nep_target -.5 -nep_rii_hermitian -nep_monitor -nep_view_values ::ascii_matlab
    150:       filter: sed -e "s/[+-][0-9]\.[0-9]*e-[0-9]*i//" -e "s/([0-9]\.[0-9]*e[+-]\([0-9]*\))/(removed)/g"
    151:       requires: double

    153:    test:
    154:       suffix: 3
    155:       args: -nep_type slp -nep_nev 4 -nep_view_values binary:myvalues.bin -checkfile myvalues.bin -nep_error_relative ::ascii_matlab
    156:       filter: sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
    157:       requires: double c99_complex

    159:    test:
    160:       suffix: 4
    161:       args: -nep_type slp -nep_nev 4 -nep_monitor draw::draw_lg -nep_monitor_all draw::draw_lg -nep_view_values draw -draw_save myeigen.ppm -draw_virtual
    162:       requires: x double

    164: TEST*/