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 pseudo-orthogonalization.\n\n";
      12             : 
      13             : #include <slepcds.h>
      14             : 
      15           1 : int main(int argc,char **argv)
      16             : {
      17           1 :   DS             ds;
      18           1 :   PetscReal      *s,*ns;
      19           1 :   PetscScalar    *A;
      20           1 :   PetscInt       i,j,n=10;
      21           1 :   PetscViewer    viewer;
      22           1 :   PetscBool      verbose;
      23             : 
      24           1 :   PetscFunctionBeginUser;
      25           1 :   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
      26           1 :   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
      27           1 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test pseudo-orthogonalization for GHIEP - dimension %" PetscInt_FMT ".\n",n));
      28           1 :   PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
      29             : 
      30             :   /* Create DS object */
      31           1 :   PetscCall(DSCreate(PETSC_COMM_WORLD,&ds));
      32           1 :   PetscCall(DSSetType(ds,DSGHIEP));
      33           1 :   PetscCall(DSSetFromOptions(ds));
      34           1 :   PetscCall(DSAllocate(ds,n));
      35           1 :   PetscCall(DSSetDimensions(ds,n,0,0));
      36             : 
      37             :   /* Set up viewer */
      38           1 :   PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
      39           1 :   if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
      40             : 
      41             :   /* Fill with a symmetric Toeplitz matrix */
      42           1 :   PetscCall(DSGetArray(ds,DS_MAT_A,&A));
      43          11 :   for (i=0;i<n;i++) A[i+i*n]=2.0;
      44           3 :   for (j=1;j<3;j++) {
      45          19 :     for (i=0;i<n-j;i++) { A[i+(i+j)*n]=1.0; A[(i+j)+i*n]=1.0; }
      46             :   }
      47           3 :   for (j=1;j<3;j++) { A[0+j*n]=-1.0*(j+2); A[j+0*n]=-1.0*(j+2); }
      48           1 :   PetscCall(DSRestoreArray(ds,DS_MAT_A,&A));
      49           1 :   PetscCall(DSSetState(ds,DS_STATE_RAW));
      50           1 :   if (verbose) {
      51           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n"));
      52           0 :     PetscCall(DSView(ds,viewer));
      53             :   }
      54             : 
      55             :   /* Signature matrix */
      56           1 :   PetscCall(PetscMalloc2(n,&s,n,&ns));
      57           1 :   s[0] = -1.0;
      58           9 :   for (i=1;i<n-1;i++) s[i]=1.0;
      59           1 :   s[n-1] = -1.0;
      60             : 
      61             :   /* Orthogonalize and show signature */
      62           1 :   PetscCall(DSPseudoOrthogonalize(ds,DS_MAT_A,n,s,NULL,ns));
      63           1 :   if (verbose) {
      64           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After pseudo-orthogonalize - - - - - - - - -\n"));
      65           0 :     PetscCall(DSView(ds,viewer));
      66             :   }
      67           1 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Resulting signature:\n"));
      68          11 :   for (i=0;i<n;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"%g\n",(double)ns[i]));
      69           1 :   PetscCall(PetscFree2(s,ns));
      70             : 
      71           1 :   PetscCall(DSDestroy(&ds));
      72           1 :   PetscCall(SlepcFinalize());
      73             :   return 0;
      74             : }
      75             : 
      76             : /*TEST
      77             : 
      78             :    test:
      79             :       suffix: 1
      80             : 
      81             : TEST*/