Date: 2021-02-01T14:41:45+00:00

Actual source code: test3.c
slepc-3.14.2 2021-02-01
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2020, 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 compact storage.\n\n";

     13: #include <slepcds.h>

     15: int main(int argc,char **argv)
     16: {
     18:   DS             ds;
     19:   SlepcSC        sc;
     20:   PetscReal      *T;
     21:   PetscScalar    *eig;
     22:   PetscInt       i,n=10,l=2,k=5,ld;
     23:   PetscViewer    viewer;
     24:   PetscBool      verbose,extrarow;

     26:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
     27:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     28:   PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type HEP with compact storage - dimension %D.\n",n);
     29:   PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL);
     30:   PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
     31:   if (l>n || k>n || l>k) SETERRQ(PETSC_COMM_WORLD,1,"Wrong value of dimensions");
     32:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
     33:   PetscOptionsHasName(NULL,NULL,"-extrarow",&extrarow);

     35:   /* Create DS object */
     36:   DSCreate(PETSC_COMM_WORLD,&ds);
     37:   DSSetType(ds,DSHEP);
     38:   DSSetFromOptions(ds);
     39:   ld = n+2;  /* test leading dimension larger than n */
     40:   DSAllocate(ds,ld);
     41:   DSSetDimensions(ds,n,0,l,k);
     42:   DSSetCompact(ds,PETSC_TRUE);
     43:   DSSetExtraRow(ds,extrarow);

     45:   /* Set up viewer */
     46:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer);
     47:   PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL);
     48:   DSView(ds,viewer);
     49:   PetscViewerPopFormat(viewer);
     50:   PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);

     52:   /* Fill arrow-tridiagonal matrix */
     53:   DSGetArrayReal(ds,DS_MAT_T,&T);
     54:   for (i=0;i<n;i++) T[i] = (PetscReal)(i+1);
     55:   for (i=l;i<n-1;i++) T[i+ld] = 1.0;
     56:   if (extrarow) T[n-1+ld] = 1.0;
     57:   DSRestoreArrayReal(ds,DS_MAT_T,&T);
     58:   if (l==0 && k==0) {
     59:     DSSetState(ds,DS_STATE_INTERMEDIATE);
     60:   } else {
     61:     DSSetState(ds,DS_STATE_RAW);
     62:   }
     63:   PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n");
     64:   DSView(ds,viewer);

     66:   /* Solve */
     67:   PetscMalloc1(n,&eig);
     68:   DSGetSlepcSC(ds,&sc);
     69:   sc->comparison    = SlepcCompareLargestMagnitude;
     70:   sc->comparisonctx = NULL;
     71:   sc->map           = NULL;
     72:   sc->mapobj        = NULL;
     73:   DSSolve(ds,eig,NULL);
     74:   DSSort(ds,eig,NULL,NULL,NULL,NULL);
     75:   if (extrarow) { DSUpdateExtraRow(ds); }
     76:   if (verbose) {
     77:     PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n");
     78:     DSView(ds,viewer);
     79:   }

     81:   /* Print eigenvalues */
     82:   PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n");
     83:   for (i=0;i<n;i++) {
     84:     PetscViewerASCIIPrintf(viewer,"  %.5f\n",(double)PetscRealPart(eig[i]));
     85:   }

     87:   PetscFree(eig);
     88:   DSDestroy(&ds);
     89:   SlepcFinalize();
     90:   return ierr;
     91: }

     93: /*TEST

     95:    test:
     96:       suffix: 1
     97:       requires: !single
     98:       args: -n 9 -ds_method {{0 1 2}}
     99:       filter: grep -v "solving the problem"

    101: TEST*/