Date: 2016-03-29T14:57:03+00:00

Actual source code: test15.c
slepc-3.6.3 2016-03-29
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2015, Universitat Politecnica de Valencia, Spain

      6:    This file is part of SLEPc.

      8:    SLEPc is free software: you can redistribute it and/or modify it under  the
      9:    terms of version 3 of the GNU Lesser General Public License as published by
     10:    the Free Software Foundation.

     12:    SLEPc  is  distributed in the hope that it will be useful, but WITHOUT  ANY
     13:    WARRANTY;  without even the implied warranty of MERCHANTABILITY or  FITNESS
     14:    FOR  A  PARTICULAR PURPOSE. See the GNU Lesser General Public  License  for
     15:    more details.

     17:    You  should have received a copy of the GNU Lesser General  Public  License
     18:    along with SLEPc. If not, see <http://www.gnu.org/licenses/>.
     19:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     20: */

     22: static char help[] = "Test DSPEP.\n\n";

     24: #include <slepcds.h>

     28: int main(int argc,char **argv)
     29: {
     31:   DS             ds;
     32:   SlepcSC        sc;
     33:   PetscScalar    *K,*C,*M,*wr,*wi,z=1.0;
     34:   PetscReal      re,im;
     35:   PetscInt       i,n=10,d=2,ld;
     36:   PetscViewer    viewer;
     37:   PetscBool      verbose;

     39:   SlepcInitialize(&argc,&argv,(char*)0,help);
     40:   PetscOptionsGetInt(NULL,"-n",&n,NULL);
     41:   PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type PEP - n=%D.\n",n);
     42:   PetscOptionsHasName(NULL,"-verbose",&verbose);

     44:   /* Create DS object */
     45:   DSCreate(PETSC_COMM_WORLD,&ds);
     46:   DSSetType(ds,DSPEP);
     47:   DSSetFromOptions(ds);
     48:   DSPEPSetDegree(ds,d);

     50:   /* Set dimensions */
     51:   ld = n+2;  /* test leading dimension larger than n */
     52:   DSAllocate(ds,ld);
     53:   DSSetDimensions(ds,n,0,0,0);

     55:   /* Set up viewer */
     56:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer);
     57:   PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL);
     58:   DSView(ds,viewer);
     59:   PetscViewerPopFormat(viewer);
     60:   if (verbose) {
     61:     PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);
     62:   }

     64:   /* Fill matrices */
     65:   DSGetArray(ds,DS_MAT_E0,&K);
     66:   for (i=0;i<n-1;i++) K[i+i*ld] = 2.0*n;
     67:   K[n-1+(n-1)*ld] = 1.0*n;
     68:   for (i=1;i<n;i++) {
     69:     K[i+(i-1)*ld] = -1.0*n;
     70:     K[(i-1)+i*ld] = -1.0*n;
     71:   }
     72:   DSRestoreArray(ds,DS_MAT_E0,&K);
     73:   DSGetArray(ds,DS_MAT_E1,&C);
     74:   C[n-1+(n-1)*ld] = 2.0*PETSC_PI/z;
     75:   DSRestoreArray(ds,DS_MAT_E1,&C);
     76:   DSGetArray(ds,DS_MAT_E2,&M);
     77:   for (i=0;i<n-1;i++) M[i+i*ld] = -4.0*PETSC_PI*PETSC_PI/n;
     78:   M[i+i*ld] = -2.0*PETSC_PI*PETSC_PI/n;
     79:   DSRestoreArray(ds,DS_MAT_E2,&M);

     81:   if (verbose) {
     82:     PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n");
     83:     DSView(ds,viewer);
     84:   }

     86:   /* Solve */
     87:   PetscMalloc2(d*n,&wr,d*n,&wi);
     88:   DSGetSlepcSC(ds,&sc);
     89:   sc->comparison    = SlepcCompareLargestReal;
     90:   sc->comparisonctx = NULL;
     91:   sc->map           = NULL;
     92:   sc->mapobj        = NULL;
     93:   DSSolve(ds,wr,wi);
     94:   DSSort(ds,wr,wi,NULL,NULL,NULL);
     95:   if (verbose) {
     96:     PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n");
     97:     DSView(ds,viewer);
     98:   }

    100:   /* Print first eigenvalue */
    101:   PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n");
    102:   for (i=0;i<d*n;i++) {
    103: #if defined(PETSC_USE_COMPLEX)
    104:     re = PetscRealPart(wr[i]);
    105:     im = PetscImaginaryPart(wr[i]);
    106: #else
    107:     re = wr[i];
    108:     im = wi[i];
    109: #endif
    110:     if (PetscAbs(im)<1e-10) {
    111:       PetscViewerASCIIPrintf(viewer,"  %.5f\n",(double)re);
    112:     } else {
    113:       PetscViewerASCIIPrintf(viewer,"  %.5f%+.5fi\n",(double)re,(double)im);
    114:     }
    115:   }

    117:   PetscFree2(wr,wi);
    118:   DSDestroy(&ds);
    119:   SlepcFinalize();
    120:   return 0;
    121: }