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 with compact storage.\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      *T,*s,re,im;
      20           6 :   PetscScalar    *eigr,*eigi;
      21           6 :   PetscInt       i,n=10,l=2,k=5,ld;
      22           6 :   PetscViewer    viewer;
      23           6 :   PetscBool      verbose;
      24             : 
      25           6 :   PetscFunctionBeginUser;
      26           6 :   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
      27           6 :   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
      28           6 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type GHIEP with compact storage - dimension %" PetscInt_FMT ".\n",n));
      29           6 :   PetscCall(PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL));
      30           6 :   PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL));
      31           6 :   PetscCheck(l<=n && k<=n && l<=k,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"Wrong value of dimensions");
      32           6 :   PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
      33             : 
      34             :   /* Create DS object */
      35           6 :   PetscCall(DSCreate(PETSC_COMM_WORLD,&ds));
      36           6 :   PetscCall(DSSetType(ds,DSGHIEP));
      37           6 :   PetscCall(DSSetFromOptions(ds));
      38           6 :   ld = n+2;  /* test leading dimension larger than n */
      39           6 :   PetscCall(DSAllocate(ds,ld));
      40           6 :   PetscCall(DSSetDimensions(ds,n,l,k));
      41           6 :   PetscCall(DSSetCompact(ds,PETSC_TRUE));
      42             : 
      43             :   /* Set up viewer */
      44           6 :   PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
      45           6 :   PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL));
      46           6 :   PetscCall(DSView(ds,viewer));
      47           6 :   PetscCall(PetscViewerPopFormat(viewer));
      48           6 :   PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
      49             : 
      50             :   /* Fill arrow-tridiagonal matrix */
      51           6 :   PetscCall(DSGetArrayReal(ds,DS_MAT_T,&T));
      52           6 :   PetscCall(DSGetArrayReal(ds,DS_MAT_D,&s));
      53          51 :   for (i=0;i<n;i++) T[i] = (PetscReal)(i+1);
      54          18 :   for (i=k;i<n-1;i++) T[i+ld] = 1.0;
      55          15 :   for (i=l;i<k;i++) T[i+2*ld] = 1.0;
      56           6 :   T[2*ld+l+1] = -7; T[ld+k+1] = -7;
      57             :   /* Signature matrix */
      58          51 :   for (i=0;i<n;i++) s[i] = 1.0;
      59           6 :   s[l+1] = -1.0;
      60           6 :   s[k+1] = -1.0;
      61           6 :   PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&T));
      62           6 :   PetscCall(DSRestoreArrayReal(ds,DS_MAT_D,&s));
      63           6 :   if (l==0 && k==0) PetscCall(DSSetState(ds,DS_STATE_INTERMEDIATE));
      64           6 :   else PetscCall(DSSetState(ds,DS_STATE_RAW));
      65           6 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n"));
      66           6 :   PetscCall(DSView(ds,viewer));
      67             : 
      68             :   /* Solve */
      69           6 :   PetscCall(PetscCalloc2(n,&eigr,n,&eigi));
      70           6 :   PetscCall(DSGetSlepcSC(ds,&sc));
      71           6 :   sc->comparison    = SlepcCompareLargestMagnitude;
      72           6 :   sc->comparisonctx = NULL;
      73           6 :   sc->map           = NULL;
      74           6 :   sc->mapobj        = NULL;
      75           6 :   PetscCall(DSSolve(ds,eigr,eigi));
      76           6 :   PetscCall(DSSort(ds,eigr,eigi,NULL,NULL,NULL));
      77           6 :   if (verbose) {
      78           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n"));
      79           0 :     PetscCall(DSView(ds,viewer));
      80             :   }
      81             : 
      82             :   /* Print eigenvalues */
      83           6 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n"));
      84          51 :   for (i=0;i<n;i++) {
      85             : #if defined(PETSC_USE_COMPLEX)
      86             :     re = PetscRealPart(eigr[i]);
      87             :     im = PetscImaginaryPart(eigr[i]);
      88             : #else
      89          45 :     re = eigr[i];
      90          45 :     im = eigi[i];
      91             : #endif
      92          45 :     if (PetscAbs(im)<1e-10) PetscCall(PetscViewerASCIIPrintf(viewer,"  %.5f\n",(double)re));
      93          45 :     else PetscCall(PetscViewerASCIIPrintf(viewer,"  %.5f%+.5fi\n",(double)re,(double)im));
      94             :   }
      95           6 :   PetscCall(PetscFree2(eigr,eigi));
      96           6 :   PetscCall(DSDestroy(&ds));
      97           6 :   PetscCall(SlepcFinalize());
      98             :   return 0;
      99             : }
     100             : 
     101             : /*TEST
     102             : 
     103             :    test:
     104             :       suffix: 1
     105             :       requires: !single
     106             :       args: -ds_method {{0 1 2}}
     107             :       filter: grep -v "solving the problem"
     108             : 
     109             :    test:
     110             :       suffix: 2
     111             :       args: -n 5 -k 4 -l 4 -ds_method {{0 1 2}}
     112             :       filter: grep -v "solving the problem"
     113             : 
     114             : TEST*/