Date: 2021-09-20T09:44:10+00:00

Actual source code: test8.c
slepc-3.15.2 2021-09-20
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2021, 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;
     28:   PetscErrorCode     ierr;

     30:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
     31:   PetscPrintf(PETSC_COMM_WORLD,"\nDiagonal Nonlinear Eigenproblem, n=%D\n\n",n);

     33:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     34:         Generate the matrices
     35:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     37:   MatCreate(PETSC_COMM_WORLD,&A[0]);
     38:   MatSetSizes(A[0],PETSC_DECIDE,PETSC_DECIDE,n,n);
     39:   MatSetFromOptions(A[0]);
     40:   MatSetUp(A[0]);
     41:   MatGetOwnershipRange(A[0],&Istart,&Iend);
     42:   for (i=Istart;i<Iend;i++) {
     43:     MatSetValue(A[0],i,i,i+1,INSERT_VALUES);
     44:   }
     45:   MatAssemblyBegin(A[0],MAT_FINAL_ASSEMBLY);
     46:   MatAssemblyEnd(A[0],MAT_FINAL_ASSEMBLY);

     48:   MatCreate(PETSC_COMM_WORLD,&A[1]);
     49:   MatSetSizes(A[1],PETSC_DECIDE,PETSC_DECIDE,n,n);
     50:   MatSetFromOptions(A[1]);
     51:   MatSetUp(A[1]);
     52:   for (i=Istart;i<Iend;i++) {
     53:     MatSetValue(A[1],i,i,-1.5,INSERT_VALUES);
     54:   }
     55:   MatAssemblyBegin(A[1],MAT_FINAL_ASSEMBLY);
     56:   MatAssemblyEnd(A[1],MAT_FINAL_ASSEMBLY);

     58:   MatCreate(PETSC_COMM_WORLD,&A[2]);
     59:   MatSetSizes(A[2],PETSC_DECIDE,PETSC_DECIDE,n,n);
     60:   MatSetFromOptions(A[2]);
     61:   MatSetUp(A[2]);
     62:   for (i=Istart;i<Iend;i++) {
     63:     MatSetValue(A[2],i,i,-1.0/(i+1),INSERT_VALUES);
     64:   }
     65:   MatAssemblyBegin(A[2],MAT_FINAL_ASSEMBLY);
     66:   MatAssemblyEnd(A[2],MAT_FINAL_ASSEMBLY);

     68:   /*
     69:      Functions: f0=1.0, f1=lambda, f2=lambda^2
     70:   */
     71:   FNCreate(PETSC_COMM_WORLD,&f[0]);
     72:   FNSetType(f[0],FNRATIONAL);
     73:   coeffs[0] = 1.0;
     74:   FNRationalSetNumerator(f[0],1,coeffs);

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

     81:   FNCreate(PETSC_COMM_WORLD,&f[2]);
     82:   FNSetType(f[2],FNRATIONAL);
     83:   coeffs[0] = 1.0; coeffs[1] = 0.0; coeffs[2] = 0.0;
     84:   FNRationalSetNumerator(f[2],3,coeffs);

     86:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     87:                       Create the NEP solver
     88:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     89:   NEPCreate(PETSC_COMM_WORLD,&nep);
     90:   PetscObjectSetName((PetscObject)nep,"nep");
     91:   NEPSetSplitOperator(nep,3,A,f,SAME_NONZERO_PATTERN);
     92:   NEPSetTarget(nep,1.1);
     93:   NEPSetWhichEigenpairs(nep,NEP_TARGET_MAGNITUDE);
     94:   NEPSetFromOptions(nep);

     96:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     97:                 Solve the eigensystem and display solution
     98:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     99:   NEPSolve(nep);
    100:   NEPGetConverged(nep,&nconv);
    101:   NEPGetIterationNumber(nep,&its);
    102:   PetscPrintf(PETSC_COMM_WORLD," %D converged eigenpairs after %D iterations\n",nconv,its);
    103:   if (nconv>0) {
    104:     MatCreateVecs(A[0],&xr,&xi);
    105:     NEPGetEigenpair(nep,0,&kr,&ki,xr,xi);
    106:     VecDestroy(&xr);
    107:     VecDestroy(&xi);
    108:     NEPGetErrorEstimate(nep,0,&errest);
    109:   }
    110:   NEPErrorView(nep,NEP_ERROR_BACKWARD,NULL);

    112:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    113:                    Check file containing the eigenvalues
    114:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    115:   PetscOptionsGetString(NULL,NULL,"-checkfile",filename,sizeof(filename),&checkfile);
    116:   if (checkfile) {
    117:     PetscMalloc1(nconv,&eigs);
    118:     PetscViewerBinaryOpen(PETSC_COMM_WORLD,filename,FILE_MODE_READ,&viewer);
    119:     PetscViewerBinaryRead(viewer,eigs,nconv,NULL,PETSC_COMPLEX);
    120:     PetscViewerDestroy(&viewer);
    121:     for (i=0;i<nconv;i++) {
    122:       NEPGetEigenpair(nep,i,&kr,&ki,NULL,NULL);
    123: #if defined(PETSC_USE_COMPLEX)
    124:       eval = kr;
    125: #else
    126:       eval = PetscCMPLX(kr,ki);
    127: #endif
    128:       if (eval!=eigs[i]) SETERRQ(PETSC_COMM_WORLD,1,"Eigenvalues in the file do not match");
    129:     }
    130:     PetscFree(eigs);
    131:   }

    133:   NEPDestroy(&nep);
    134:   MatDestroy(&A[0]);
    135:   MatDestroy(&A[1]);
    136:   MatDestroy(&A[2]);
    137:   FNDestroy(&f[0]);
    138:   FNDestroy(&f[1]);
    139:   FNDestroy(&f[2]);
    140:   SlepcFinalize();
    141:   return ierr;
    142: }

    144: /*TEST

    146:    test:
    147:       suffix: 1
    148:       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
    149:       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"
    150:       requires: double

    152:    test:
    153:       suffix: 2
    154:       args: -nep_type rii -nep_target -.5 -nep_rii_hermitian -nep_monitor -nep_view_values ::ascii_matlab
    155:       filter: sed -e "s/[+-][0-9]\.[0-9]*e-[0-9]*i//" -e "s/([0-9]\.[0-9]*e[+-]\([0-9]*\))/(removed)/g"
    156:       requires: double

    158:    test:
    159:       suffix: 3
    160:       args: -nep_type slp -nep_nev 4 -nep_view_values binary:myvalues.bin -checkfile myvalues.bin -nep_error_relative ::ascii_matlab
    161:       filter: sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
    162:       requires: double

    164:    test:
    165:       suffix: 4
    166:       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
    167:       requires: double

    169: TEST*/