Actual source code: test13.c

      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

      6:    This file is part of SLEPc.
      7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
      8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      9: */

     11: static char help[] = "Test DSHEP with block size larger than one.\n\n";

     13: #include <slepcds.h>

     15: int main(int argc,char **argv)
     16: {
     17:   DS             ds;
     18:   SlepcSC        sc;
     19:   PetscScalar    *A,*eig;
     20:   PetscInt       i,j,n,ld,bs,maxbw=3,nblks=8;
     21:   PetscViewer    viewer;
     22:   PetscBool      verbose;

     24:   PetscFunctionBeginUser;
     25:   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
     26:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-maxbw",&maxbw,NULL));
     27:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-nblks",&nblks,NULL));
     28:   n = maxbw*nblks;
     29:   bs = maxbw;
     30:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a block HEP Dense System - dimension %" PetscInt_FMT " (bandwidth=%" PetscInt_FMT ", blocks=%" PetscInt_FMT ").\n",n,maxbw,nblks));
     31:   PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));

     33:   /* Create DS object */
     34:   PetscCall(DSCreate(PETSC_COMM_WORLD,&ds));
     35:   PetscCall(DSSetType(ds,DSHEP));
     36:   PetscCall(DSSetMethod(ds,3));   /* Select block divide-and-conquer */
     37:   PetscCall(DSSetBlockSize(ds,bs));
     38:   PetscCall(DSSetFromOptions(ds));
     39:   ld = n;
     40:   PetscCall(DSAllocate(ds,ld));
     41:   PetscCall(DSSetDimensions(ds,n,0,0));

     43:   /* Set up viewer */
     44:   PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
     45:   PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL));
     46:   PetscCall(DSView(ds,viewer));
     47:   PetscCall(PetscViewerPopFormat(viewer));
     48:   if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));

     50:   /* Fill with a symmetric band Toeplitz matrix */
     51:   PetscCall(DSGetArray(ds,DS_MAT_A,&A));
     52:   for (i=0;i<n;i++) A[i+i*ld]=2.0;
     53:   for (j=1;j<=bs;j++) {
     54:     for (i=0;i<n-j;i++) { A[i+(i+j)*ld]=1.0; A[(i+j)+i*ld]=1.0; }
     55:   }
     56:   PetscCall(DSRestoreArray(ds,DS_MAT_A,&A));
     57:   PetscCall(DSSetState(ds,DS_STATE_RAW));
     58:   if (verbose) {
     59:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n"));
     60:     PetscCall(DSView(ds,viewer));
     61:   }

     63:   /* Solve */
     64:   PetscCall(PetscMalloc1(n,&eig));
     65:   PetscCall(DSGetSlepcSC(ds,&sc));
     66:   sc->comparison    = SlepcCompareSmallestReal;
     67:   sc->comparisonctx = NULL;
     68:   sc->map           = NULL;
     69:   sc->mapobj        = NULL;
     70:   PetscCall(DSSolve(ds,eig,NULL));
     71:   PetscCall(DSSort(ds,eig,NULL,NULL,NULL,NULL));
     72:   if (verbose) {
     73:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n"));
     74:     PetscCall(DSView(ds,viewer));
     75:   }

     77:   /* Print eigenvalues */
     78:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n"));
     79:   for (i=0;i<n;i++) PetscCall(PetscViewerASCIIPrintf(viewer,"  %.5f\n",(double)PetscRealPart(eig[i])));

     81:   PetscCall(PetscFree(eig));
     82:   PetscCall(DSDestroy(&ds));
     83:   PetscCall(SlepcFinalize());
     84:   return 0;
     85: }

     87: /*TEST

     89:    test:
     90:       suffix: 1
     91:       requires: !complex !single

     93:    test:
     94:       suffix: 2
     95:       args: -nblks 1
     96:       requires: !complex

     98: TEST*/