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.\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,*C,*M,*wr,*wi,z=1.0;
      22           1 :   PetscReal      re,im,nrm,*pbc;
      23           1 :   PetscInt       i,j,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          10 :   for (i=0;i<n-1;i++) K[i+i*ld] = 2.0*n;
      54           1 :   K[n-1+(n-1)*ld] = 1.0*n;
      55          10 :   for (i=1;i<n;i++) {
      56           9 :     K[i+(i-1)*ld] = -1.0*n;
      57           9 :     K[(i-1)+i*ld] = -1.0*n;
      58             :   }
      59           1 :   PetscCall(DSRestoreArray(ds,DS_MAT_E0,&K));
      60           1 :   PetscCall(DSGetArray(ds,DS_MAT_E1,&C));
      61           1 :   C[n-1+(n-1)*ld] = 2.0*PETSC_PI/z;
      62           1 :   PetscCall(DSRestoreArray(ds,DS_MAT_E1,&C));
      63           1 :   PetscCall(DSGetArray(ds,DS_MAT_E2,&M));
      64          10 :   for (i=0;i<n-1;i++) M[i+i*ld] = -4.0*PETSC_PI*PETSC_PI/n;
      65           1 :   M[i+i*ld] = -2.0*PETSC_PI*PETSC_PI/n;
      66           1 :   PetscCall(DSRestoreArray(ds,DS_MAT_E2,&M));
      67             : 
      68           1 :   if (verbose) {
      69           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n"));
      70           0 :     PetscCall(DSView(ds,viewer));
      71             :   }
      72             : 
      73             :   /* Solve */
      74           1 :   PetscCall(PetscMalloc2(d*n,&wr,d*n,&wi));
      75           1 :   PetscCall(DSGetSlepcSC(ds,&sc));
      76           1 :   sc->comparison    = SlepcCompareLargestReal;
      77           1 :   sc->comparisonctx = NULL;
      78           1 :   sc->map           = NULL;
      79           1 :   sc->mapobj        = NULL;
      80           1 :   PetscCall(DSSolve(ds,wr,wi));
      81           1 :   PetscCall(DSSort(ds,wr,wi,NULL,NULL,NULL));
      82           1 :   if (verbose) {
      83           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n"));
      84           0 :     PetscCall(DSView(ds,viewer));
      85             :   }
      86             : 
      87             :   /* Print polynomial coefficients */
      88           1 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Polynomial coefficients (alpha,beta,gamma) =\n"));
      89           1 :   PetscCall(DSPEPGetCoefficients(ds,&pbc));
      90           4 :   for (j=0;j<3;j++) {
      91          12 :     for (i=0;i<d+1;i++) PetscCall(PetscViewerASCIIPrintf(viewer,"  %.5f",(double)pbc[j+3*i]));
      92           3 :     PetscCall(PetscViewerASCIIPrintf(viewer,"\n"));
      93             :   }
      94           1 :   PetscCall(PetscFree(pbc));
      95             : 
      96             :   /* Print eigenvalues */
      97           1 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n"));
      98          21 :   for (i=0;i<d*n;i++) {
      99             : #if defined(PETSC_USE_COMPLEX)
     100          20 :     re = PetscRealPart(wr[i]);
     101          20 :     im = PetscImaginaryPart(wr[i]);
     102             : #else
     103             :     re = wr[i];
     104             :     im = wi[i];
     105             : #endif
     106          20 :     if (PetscAbs(im)<1e-10) PetscCall(PetscViewerASCIIPrintf(viewer,"  %.5f\n",(double)re));
     107          20 :     else PetscCall(PetscViewerASCIIPrintf(viewer,"  %.5f%+.5fi\n",(double)re,(double)im));
     108             :   }
     109             : 
     110             :   /* Eigenvectors */
     111           1 :   PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL));  /* all eigenvectors */
     112           1 :   PetscCall(DSGetMat(ds,DS_MAT_X,&X));
     113           1 :   PetscCall(MatCreateVecs(X,NULL,&x0));
     114           1 :   PetscCall(MatGetColumnVector(X,x0,0));
     115           1 :   PetscCall(VecNorm(x0,NORM_2,&nrm));
     116           1 :   PetscCall(DSRestoreMat(ds,DS_MAT_X,&X));
     117           1 :   PetscCall(VecDestroy(&x0));
     118           1 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 1st vector = %.3f\n",(double)nrm));
     119           1 :   if (verbose) {
     120           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After vectors - - - - - - - - -\n"));
     121           0 :     PetscCall(DSView(ds,viewer));
     122             :   }
     123             : 
     124           1 :   PetscCall(PetscFree2(wr,wi));
     125           1 :   PetscCall(DSDestroy(&ds));
     126           1 :   PetscCall(SlepcFinalize());
     127             :   return 0;
     128             : }
     129             : 
     130             : /*TEST
     131             : 
     132             :    test:
     133             :       suffix: 1
     134             :       requires: !single
     135             : 
     136             : TEST*/