Actual source code: test2.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 DSHEP.\n\n";

     13: #include <slepcds.h>

     15: int main(int argc,char **argv)
     16: {
     17:   DS             ds;
     18:   SlepcSC        sc;
     19:   PetscScalar    *A,*X,*Q,*eig,d;
     20:   PetscReal      rnorm,aux;
     21:   PetscInt       i,j,n=10,ld;
     22:   PetscViewer    viewer;
     23:   PetscBool      verbose,extrarow;

     25:   PetscFunctionBeginUser;
     26:   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
     27:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
     28:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type HEP - dimension %" PetscInt_FMT ".\n",n));
     29:   PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
     30:   PetscCall(PetscOptionsHasName(NULL,NULL,"-extrarow",&extrarow));

     32:   /* Create DS object */
     33:   PetscCall(DSCreate(PETSC_COMM_WORLD,&ds));
     34:   PetscCall(DSSetType(ds,DSHEP));
     35:   PetscCall(DSSetFromOptions(ds));
     36:   ld = n+2;  /* test leading dimension larger than n */
     37:   PetscCall(DSAllocate(ds,ld));
     38:   PetscCall(DSSetDimensions(ds,n,0,0));
     39:   PetscCall(DSSetExtraRow(ds,extrarow));

     41:   /* Set up viewer */
     42:   PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
     43:   PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL));
     44:   PetscCall(DSView(ds,viewer));
     45:   PetscCall(PetscViewerPopFormat(viewer));
     46:   if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));

     48:   /* Fill with a symmetric Toeplitz matrix */
     49:   PetscCall(DSGetArray(ds,DS_MAT_A,&A));
     50:   for (i=0;i<n;i++) A[i+i*ld]=2.0;
     51:   for (j=1;j<3;j++) {
     52:     for (i=0;i<n-j;i++) { A[i+(i+j)*ld]=1.0; A[(i+j)+i*ld]=1.0; }
     53:   }
     54:   if (extrarow) { A[n+(n-2)*ld]=1.0; A[n+(n-1)*ld]=1.0; }
     55:   PetscCall(DSRestoreArray(ds,DS_MAT_A,&A));
     56:   PetscCall(DSSetState(ds,DS_STATE_RAW));
     57:   if (verbose) {
     58:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n"));
     59:     PetscCall(DSView(ds,viewer));
     60:   }

     62:   /* Solve */
     63:   PetscCall(PetscMalloc1(n,&eig));
     64:   PetscCall(DSGetSlepcSC(ds,&sc));
     65:   sc->comparison    = SlepcCompareLargestMagnitude;
     66:   sc->comparisonctx = NULL;
     67:   sc->map           = NULL;
     68:   sc->mapobj        = NULL;
     69:   PetscCall(DSSolve(ds,eig,NULL));
     70:   PetscCall(DSSort(ds,eig,NULL,NULL,NULL,NULL));
     71:   if (extrarow) PetscCall(DSUpdateExtraRow(ds));
     72:   if (verbose) {
     73:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n"));
     74:     PetscCall(DSView(ds,viewer));
     75:   }

     77:   /* Print eigenvalues */
     78:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n"));
     79:   for (i=0;i<n;i++) PetscCall(PetscViewerASCIIPrintf(viewer,"  %.5f\n",(double)PetscRealPart(eig[i])));

     81:   if (extrarow) {
     82:     /* Check that extra row is correct */
     83:     PetscCall(DSGetArray(ds,DS_MAT_A,&A));
     84:     PetscCall(DSGetArray(ds,DS_MAT_Q,&Q));
     85:     d = 0.0;
     86:     for (i=0;i<n;i++) d += A[n+i*ld]-Q[n-2+i*ld]-Q[n-1+i*ld];
     87:     if (PetscAbsScalar(d)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: there is a mismatch in the extra row of %g\n",(double)PetscAbsScalar(d)));
     88:     PetscCall(DSRestoreArray(ds,DS_MAT_A,&A));
     89:     PetscCall(DSRestoreArray(ds,DS_MAT_Q,&Q));
     90:   }

     92:   /* Eigenvectors */
     93:   j = 2;
     94:   PetscCall(DSVectors(ds,DS_MAT_X,&j,&rnorm));  /* third eigenvector */
     95:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Value of rnorm for 3rd vector = %.3f\n",(double)rnorm));
     96:   PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL));  /* all eigenvectors */
     97:   j = 0;
     98:   rnorm = 0.0;
     99:   PetscCall(DSGetArray(ds,DS_MAT_X,&X));
    100:   for (i=0;i<n;i++) {
    101:     aux = PetscAbsScalar(X[i+j*ld]);
    102:     rnorm += aux*aux;
    103:   }
    104:   PetscCall(DSRestoreArray(ds,DS_MAT_X,&X));
    105:   rnorm = PetscSqrtReal(rnorm);
    106:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 1st vector = %.3f\n",(double)rnorm));
    107:   if (verbose) {
    108:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After vectors - - - - - - - - -\n"));
    109:     PetscCall(DSView(ds,viewer));
    110:   }

    112:   PetscCall(PetscFree(eig));
    113:   PetscCall(DSDestroy(&ds));
    114:   PetscCall(SlepcFinalize());
    115:   return 0;
    116: }

    118: /*TEST

    120:    testset:
    121:       args: -n 12 -ds_method {{0 1 2}}
    122:       filter: grep -v "solving the problem" | sed -e "s/extrarow//"
    123:       output_file: output/test2_1.out
    124:       requires: !single
    125:       test:
    126:          suffix: 1
    127:       test:
    128:          suffix: 2
    129:          args: -extrarow

    131: TEST*/