Date: 2022-03-31T15:29:33+00:00

Actual source code: test8.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[] = "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:   PetscComplex       *eigs,eval;
     23:   PetscInt           n=6,i,Istart,Iend,nconv,its;
     24:   PetscReal          errest;
     25:   PetscBool          checkfile;
     26:   char               filename[PETSC_MAX_PATH_LEN];
     27:   PetscViewer        viewer;

     29:   SlepcInitialize(&argc,&argv,(char*)0,help);
     30:   PetscPrintf(PETSC_COMM_WORLD,"\nDiagonal Nonlinear Eigenproblem, n=%" PetscInt_FMT "\n\n",n);

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

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

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

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

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

     69:   FNCreate(PETSC_COMM_WORLD,&f[1]);
     70:   FNSetType(f[1],FNRATIONAL);
     71:   coeffs[0] = 1.0; coeffs[1] = 0.0;
     72:   FNRationalSetNumerator(f[1],2,coeffs);

     74:   FNCreate(PETSC_COMM_WORLD,&f[2]);
     75:   FNSetType(f[2],FNRATIONAL);
     76:   coeffs[0] = 1.0; coeffs[1] = 0.0; coeffs[2] = 0.0;
     77:   FNRationalSetNumerator(f[2],3,coeffs);

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

     89:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     90:                 Solve the eigensystem and display solution
     91:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     92:   NEPSolve(nep);
     93:   NEPGetConverged(nep,&nconv);
     94:   NEPGetIterationNumber(nep,&its);
     95:   PetscPrintf(PETSC_COMM_WORLD," %" PetscInt_FMT " converged eigenpairs after %" PetscInt_FMT " iterations\n",nconv,its);
     96:   if (nconv>0) {
     97:     MatCreateVecs(A[0],&xr,&xi);
     98:     NEPGetEigenpair(nep,0,&kr,&ki,xr,xi);
     99:     VecDestroy(&xr);
    100:     VecDestroy(&xi);
    101:     NEPGetErrorEstimate(nep,0,&errest);
    102:   }
    103:   NEPErrorView(nep,NEP_ERROR_BACKWARD,NULL);

    105:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    106:                    Check file containing the eigenvalues
    107:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    108:   PetscOptionsGetString(NULL,NULL,"-checkfile",filename,sizeof(filename),&checkfile);
    109:   if (checkfile) {
    110:     PetscMalloc1(nconv,&eigs);
    111:     PetscViewerBinaryOpen(PETSC_COMM_WORLD,filename,FILE_MODE_READ,&viewer);
    112:     PetscViewerBinaryRead(viewer,eigs,nconv,NULL,PETSC_COMPLEX);
    113:     PetscViewerDestroy(&viewer);
    114:     for (i=0;i<nconv;i++) {
    115:       NEPGetEigenpair(nep,i,&kr,&ki,NULL,NULL);
    116: #if defined(PETSC_USE_COMPLEX)
    117:       eval = kr;
    118: #else
    119:       eval = PetscCMPLX(kr,ki);
    120: #endif
    122:     }
    123:     PetscFree(eigs);
    124:   }

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

    137: /*TEST

    139:    test:
    140:       suffix: 1
    141:       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
    142:       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"
    143:       requires: double

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

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

    157:    test:
    158:       suffix: 4
    159:       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
    160:       requires: double

    162: TEST*/