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 DSPEP with complex eigenvalues.\n\n";
      12             : 
      13             : #include <slepcds.h>
      14             : 
      15           1 : int main(int argc,char **argv)
      16             : {
      17           1 :   DS             ds;
      18           1 :   SlepcSC        sc;
      19           1 :   Mat            X;
      20           1 :   Vec            x0;
      21           1 :   PetscScalar    *K,*M,*wr,*wi;
      22           1 :   PetscReal      re,im,nrm;
      23           1 :   PetscInt       i,n=10,d=2,ld;
      24           1 :   PetscViewer    viewer;
      25           1 :   PetscBool      verbose;
      26             : 
      27           1 :   PetscFunctionBeginUser;
      28           1 :   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
      29           1 :   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
      30           1 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type PEP - n=%" PetscInt_FMT ".\n",n));
      31           1 :   PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
      32             : 
      33             :   /* Create DS object */
      34           1 :   PetscCall(DSCreate(PETSC_COMM_WORLD,&ds));
      35           1 :   PetscCall(DSSetType(ds,DSPEP));
      36           1 :   PetscCall(DSSetFromOptions(ds));
      37           1 :   PetscCall(DSPEPSetDegree(ds,d));
      38             : 
      39             :   /* Set dimensions */
      40           1 :   ld = n+2;  /* test leading dimension larger than n */
      41           1 :   PetscCall(DSAllocate(ds,ld));
      42           1 :   PetscCall(DSSetDimensions(ds,n,0,0));
      43             : 
      44             :   /* Set up viewer */
      45           1 :   PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
      46           1 :   PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL));
      47           1 :   PetscCall(DSView(ds,viewer));
      48           1 :   PetscCall(PetscViewerPopFormat(viewer));
      49           1 :   if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
      50             : 
      51             :   /* Fill matrices */
      52           1 :   PetscCall(DSGetArray(ds,DS_MAT_E0,&K));
      53           8 :   for (i=0;i<n;i++) K[i+i*ld] = 2.0;
      54           7 :   for (i=1;i<n;i++) {
      55           6 :     K[i+(i-1)*ld] = -1.0;
      56           6 :     K[(i-1)+i*ld] = -1.0;
      57             :   }
      58           1 :   PetscCall(DSRestoreArray(ds,DS_MAT_E0,&K));
      59           1 :   PetscCall(DSGetArray(ds,DS_MAT_E2,&M));
      60           8 :   for (i=0;i<n;i++) M[i+i*ld] = 1.0;
      61           1 :   PetscCall(DSRestoreArray(ds,DS_MAT_E2,&M));
      62             : 
      63           1 :   if (verbose) {
      64           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n"));
      65           0 :     PetscCall(DSView(ds,viewer));
      66             :   }
      67             : 
      68             :   /* Solve */
      69           1 :   PetscCall(PetscMalloc2(d*n,&wr,d*n,&wi));
      70           1 :   PetscCall(DSGetSlepcSC(ds,&sc));
      71           1 :   sc->comparison    = SlepcCompareLargestImaginary;
      72           1 :   sc->comparisonctx = NULL;
      73           1 :   sc->map           = NULL;
      74           1 :   sc->mapobj        = NULL;
      75           1 :   PetscCall(DSSolve(ds,wr,wi));
      76           1 :   PetscCall(DSSort(ds,wr,wi,NULL,NULL,NULL));
      77           1 :   if (verbose) {
      78           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n"));
      79           0 :     PetscCall(DSView(ds,viewer));
      80             :   }
      81             : 
      82             :   /* Print eigenvalues */
      83           1 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n"));
      84          15 :   for (i=0;i<d*n;i++) {
      85             : #if defined(PETSC_USE_COMPLEX)
      86          14 :     re = PetscRealPart(wr[i]);
      87          14 :     im = PetscImaginaryPart(wr[i]);
      88             : #else
      89             :     re = wr[i];
      90             :     im = wi[i];
      91             : #endif
      92          14 :     if (PetscAbs(im)<1e-10) PetscCall(PetscViewerASCIIPrintf(viewer,"  %.5f\n",(double)re));
      93          14 :     else PetscCall(PetscViewerASCIIPrintf(viewer,"  %.5f%+.5fi\n",(double)re,(double)im));
      94             :   }
      95             : 
      96             :   /* Eigenvectors */
      97           1 :   PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL));  /* all eigenvectors */
      98           1 :   PetscCall(DSGetMat(ds,DS_MAT_X,&X));
      99           1 :   PetscCall(MatCreateVecs(X,NULL,&x0));
     100           1 :   PetscCall(MatGetColumnVector(X,x0,1));
     101           1 :   PetscCall(VecNorm(x0,NORM_2,&nrm));
     102           1 :   PetscCall(DSRestoreMat(ds,DS_MAT_X,&X));
     103           1 :   PetscCall(VecDestroy(&x0));
     104           1 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 2nd column of X = %.3f\n",(double)nrm));
     105           1 :   if (verbose) {
     106           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After vectors - - - - - - - - -\n"));
     107           0 :     PetscCall(DSView(ds,viewer));
     108             :   }
     109             : 
     110           1 :   PetscCall(PetscFree2(wr,wi));
     111           1 :   PetscCall(DSDestroy(&ds));
     112           1 :   PetscCall(SlepcFinalize());
     113             :   return 0;
     114             : }
     115             : 
     116             : /*TEST
     117             : 
     118             :    test:
     119             :       suffix: 1
     120             :       args: -n 7
     121             :       requires: !complex
     122             :       filter: sed -e 's/-0.00000/0.00000/'
     123             : 
     124             :    test:
     125             :       suffix: 1_complex
     126             :       args: -n 7
     127             :       requires: complex
     128             :       filter: sed -e 's/-0.00000/0.00000/'
     129             : 
     130             : TEST*/