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 DSSVD 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,sigma;
      20           6 :   PetscScalar    *U,*w,d;
      21           6 :   PetscInt       i,n=10,m,l=2,k=5,ld;
      22           6 :   PetscViewer    viewer;
      23           6 :   PetscBool      verbose,extrarow;
      24             : 
      25           6 :   PetscFunctionBeginUser;
      26           6 :   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
      27           6 :   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
      28           6 :   m = n;
      29           6 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type SVD with compact storage - dimension %" PetscInt_FMT "x%" PetscInt_FMT ".\n",n,m));
      30           6 :   PetscCall(PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL));
      31           6 :   PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL));
      32           6 :   PetscCheck(l<=n && k<=n && l<=k,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"Wrong value of dimensions");
      33           6 :   PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
      34           6 :   PetscCall(PetscOptionsHasName(NULL,NULL,"-extrarow",&extrarow));
      35             : 
      36             :   /* Create DS object */
      37           6 :   PetscCall(DSCreate(PETSC_COMM_WORLD,&ds));
      38           6 :   PetscCall(DSSetType(ds,DSSVD));
      39           6 :   PetscCall(DSSetFromOptions(ds));
      40           6 :   ld = n+2;  /* test leading dimension larger than n */
      41           6 :   PetscCall(DSAllocate(ds,ld));
      42           6 :   PetscCall(DSSetDimensions(ds,n,l,k));
      43           6 :   PetscCall(DSSVDSetDimensions(ds,m));
      44           6 :   PetscCall(DSSetCompact(ds,PETSC_TRUE));
      45           6 :   PetscCall(DSSetExtraRow(ds,extrarow));
      46             : 
      47             :   /* Set up viewer */
      48           6 :   PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
      49           6 :   PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL));
      50           6 :   PetscCall(DSView(ds,viewer));
      51           6 :   PetscCall(PetscViewerPopFormat(viewer));
      52           6 :   PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
      53             : 
      54             :   /* Fill upper arrow-bidiagonal matrix */
      55           6 :   PetscCall(DSGetArrayReal(ds,DS_MAT_T,&T));
      56          66 :   for (i=0;i<n;i++) T[i] = (PetscReal)(i+1);
      57          52 :   for (i=l;i<n-1;i++) T[i+ld] = 1.0;
      58           6 :   if (extrarow) T[n-1+ld] = 1.0;
      59           6 :   PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&T));
      60           6 :   if (l==0 && k==0) PetscCall(DSSetState(ds,DS_STATE_INTERMEDIATE));
      61           4 :   else PetscCall(DSSetState(ds,DS_STATE_RAW));
      62           6 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n"));
      63           6 :   PetscCall(DSView(ds,viewer));
      64             : 
      65             :   /* Solve */
      66           6 :   PetscCall(PetscMalloc1(n,&w));
      67           6 :   PetscCall(DSGetSlepcSC(ds,&sc));
      68           6 :   sc->comparison    = SlepcCompareLargestReal;
      69           6 :   sc->comparisonctx = NULL;
      70           6 :   sc->map           = NULL;
      71           6 :   sc->mapobj        = NULL;
      72           6 :   PetscCall(DSSolve(ds,w,NULL));
      73           6 :   PetscCall(DSSort(ds,w,NULL,NULL,NULL,NULL));
      74           6 :   if (extrarow) PetscCall(DSUpdateExtraRow(ds));
      75           6 :   if (verbose) {
      76           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n"));
      77           0 :     PetscCall(DSView(ds,viewer));
      78             :   }
      79             : 
      80             :   /* Print singular values */
      81           6 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed singular values =\n"));
      82          66 :   for (i=0;i<n;i++) {
      83          60 :     sigma = PetscRealPart(w[i]);
      84          60 :     PetscCall(PetscViewerASCIIPrintf(viewer,"  %.5f\n",(double)sigma));
      85             :   }
      86             : 
      87           6 :   if (extrarow) {
      88             :     /* Check that extra row is correct */
      89           2 :     PetscCall(DSGetArrayReal(ds,DS_MAT_T,&T));
      90           2 :     PetscCall(DSGetArray(ds,DS_MAT_U,&U));
      91           2 :     d = 0.0;
      92          18 :     for (i=l;i<n;i++) d += T[i+ld]-U[n-1+i*ld];
      93           2 :     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)));
      94           2 :     PetscCall(DSRestoreArrayReal(ds,DS_MAT_T,&T));
      95           2 :     PetscCall(DSRestoreArray(ds,DS_MAT_U,&U));
      96             :   }
      97           6 :   PetscCall(PetscFree(w));
      98           6 :   PetscCall(DSDestroy(&ds));
      99           6 :   PetscCall(SlepcFinalize());
     100             :   return 0;
     101             : }
     102             : 
     103             : /*TEST
     104             : 
     105             :    test:
     106             :       args: -ds_method {{0 1}}
     107             :       suffix: 1
     108             :       filter: grep -v "solving the problem"
     109             :       requires: !single
     110             : 
     111             :    test:
     112             :       args: -l 0 -k 0 -ds_method {{0 1}}
     113             :       suffix: 2
     114             :       filter: grep -v "solving the problem"
     115             :       requires: !single
     116             : 
     117             :    test:
     118             :       args: -extrarow -ds_method {{0 1}}
     119             :       suffix: 3
     120             :       filter: grep -v "solving the problem"
     121             :       requires: !single
     122             : 
     123             : TEST*/