Line data    Source code

       1             : /*
       2             :    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
       3             :    SLEPc - Scalable Library for Eigenvalue Problem Computations
       4             :    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
       5             : 
       6             :    This file is part of SLEPc.
       7             :    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
       8             :    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
       9             : */
      10             : 
      11             : static char help[] = "Test DSGHIEP.\n\n";
      12             : 
      13             : #include <slepcds.h>
      14             : 
      15           6 : int main(int argc,char **argv)
      16             : {
      17           6 :   DS             ds;
      18           6 :   SlepcSC        sc;
      19           6 :   PetscReal      re,im;
      20           6 :   PetscScalar    *A,*B,*Q,*eigr,*eigi,d;
      21           6 :   PetscInt       i,j,n=10,ld;
      22           6 :   PetscViewer    viewer;
      23           6 :   PetscBool      verbose,extrarow;
      24             : 
      25           6 :   PetscFunctionBeginUser;
      26           6 :   PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
      27           6 :   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
      28           6 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type GHIEP - dimension %" PetscInt_FMT ".\n",n));
      29           6 :   PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
      30           6 :   PetscCall(PetscOptionsHasName(NULL,NULL,"-extrarow",&extrarow));
      31             : 
      32             :   /* Create DS object */
      33           6 :   PetscCall(DSCreate(PETSC_COMM_WORLD,&ds));
      34           6 :   PetscCall(DSSetType(ds,DSGHIEP));
      35           6 :   PetscCall(DSSetFromOptions(ds));
      36           6 :   ld = n+2;  /* test leading dimension larger than n */
      37           6 :   PetscCall(DSAllocate(ds,ld));
      38           6 :   PetscCall(DSSetDimensions(ds,n,0,0));
      39           6 :   PetscCall(DSSetExtraRow(ds,extrarow));
      40             : 
      41             :   /* Set up viewer */
      42           6 :   PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
      43           6 :   PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL));
      44           6 :   PetscCall(DSView(ds,viewer));
      45           6 :   PetscCall(PetscViewerPopFormat(viewer));
      46           6 :   if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
      47             : 
      48             :   /* Fill with a symmetric Toeplitz matrix */
      49           6 :   PetscCall(DSGetArray(ds,DS_MAT_A,&A));
      50           6 :   PetscCall(DSGetArray(ds,DS_MAT_B,&B));
      51          66 :   for (i=0;i<n;i++) A[i+i*ld]=2.0;
      52          18 :   for (j=1;j<3;j++) {
      53         114 :     for (i=0;i<n-j;i++) { A[i+(i+j)*ld]=1.0; A[(i+j)+i*ld]=1.0; }
      54             :   }
      55          18 :   for (j=1;j<3;j++) { A[0+j*ld]=-1.0*(j+2); A[j+0*ld]=-1.0*(j+2); }
      56           6 :   if (extrarow) A[n+(n-1)*ld]=-1.0;
      57             :   /* Signature matrix */
      58          66 :   for (i=0;i<n;i++) B[i+i*ld]=1.0;
      59           6 :   B[0] = -1.0;
      60           6 :   B[n-1+(n-1)*ld] = -1.0;
      61           6 :   PetscCall(DSRestoreArray(ds,DS_MAT_A,&A));
      62           6 :   PetscCall(DSRestoreArray(ds,DS_MAT_B,&B));
      63           6 :   PetscCall(DSSetState(ds,DS_STATE_RAW));
      64           6 :   if (verbose) {
      65           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n"));
      66           0 :     PetscCall(DSView(ds,viewer));
      67             :   }
      68             : 
      69             :   /* Solve */
      70           6 :   PetscCall(PetscCalloc2(n,&eigr,n,&eigi));
      71           6 :   PetscCall(DSGetSlepcSC(ds,&sc));
      72           6 :   sc->comparison    = SlepcCompareLargestMagnitude;
      73           6 :   sc->comparisonctx = NULL;
      74           6 :   sc->map           = NULL;
      75           6 :   sc->mapobj        = NULL;
      76           6 :   PetscCall(DSSolve(ds,eigr,eigi));
      77           6 :   PetscCall(DSSort(ds,eigr,eigi,NULL,NULL,NULL));
      78           6 :   if (extrarow) PetscCall(DSUpdateExtraRow(ds));
      79             : 
      80           6 :   if (verbose) {
      81           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n"));
      82           0 :     PetscCall(DSView(ds,viewer));
      83             :   }
      84             : 
      85             :   /* Print eigenvalues */
      86           6 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n"));
      87          66 :   for (i=0;i<n;i++) {
      88             : #if defined(PETSC_USE_COMPLEX)
      89             :     re = PetscRealPart(eigr[i]);
      90             :     im = PetscImaginaryPart(eigr[i]);
      91             : #else
      92          60 :     re = eigr[i];
      93          60 :     im = eigi[i];
      94             : #endif
      95          60 :     if (PetscAbs(im)<1e-10) PetscCall(PetscViewerASCIIPrintf(viewer,"  %.5f\n",(double)re));
      96          60 :     else PetscCall(PetscViewerASCIIPrintf(viewer,"  %.5f%+.5fi\n",(double)re,(double)im));
      97             :   }
      98             : 
      99           6 :   if (extrarow) {
     100             :     /* Check that extra row is correct */
     101           3 :     PetscCall(DSGetArray(ds,DS_MAT_A,&A));
     102           3 :     PetscCall(DSGetArray(ds,DS_MAT_Q,&Q));
     103             :     d = 0.0;
     104          33 :     for (i=0;i<n;i++) d += A[n+i*ld]+Q[n-1+i*ld];
     105           3 :     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)));
     106           3 :     PetscCall(DSRestoreArray(ds,DS_MAT_A,&A));
     107           3 :     PetscCall(DSRestoreArray(ds,DS_MAT_Q,&Q));
     108             :   }
     109           6 :   PetscCall(PetscFree2(eigr,eigi));
     110           6 :   PetscCall(DSDestroy(&ds));
     111           6 :   PetscCall(SlepcFinalize());
     112             :   return 0;
     113             : }
     114             : 
     115             : /*TEST
     116             : 
     117             :    testset:
     118             :       args: -ds_method {{0 1 2}}
     119             :       filter: grep -v "solving the problem" | sed -e "s/extrarow//"
     120             :       output_file: output/test5_1.out
     121             :       requires: !single
     122             :       test:
     123             :          suffix: 1
     124             :       test:
     125             :          suffix: 2
     126             :          args: -extrarow
     127             : 
     128             : TEST*/