Date: 2016-03-29T14:57:31+00:00

Actual source code: test3.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 BV operations with non-standard inner product.\n\n";

     24: #include <slepcbv.h>

     28: int main(int argc,char **argv)
     29: {
     31:   Vec            t,v;
     32:   Mat            B,M;
     33:   BV             X;
     34:   PetscInt       i,j,n=10,k=5,Istart,Iend;
     35:   PetscScalar    alpha;
     36:   PetscReal      nrm;
     37:   PetscViewer    view;
     38:   PetscBool      verbose;

     40:   SlepcInitialize(&argc,&argv,(char*)0,help);
     41:   PetscOptionsGetInt(NULL,"-n",&n,NULL);
     42:   PetscOptionsGetInt(NULL,"-k",&k,NULL);
     43:   PetscOptionsHasName(NULL,"-verbose",&verbose);
     44:   PetscPrintf(PETSC_COMM_WORLD,"Test BV with non-standard inner product (n=%D, k=%D).\n",n,k);

     46:   /* Create inner product matrix */
     47:   MatCreate(PETSC_COMM_WORLD,&B);
     48:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
     49:   MatSetFromOptions(B);
     50:   MatSetUp(B);
     51:   PetscObjectSetName((PetscObject)B,"B");

     53:   MatGetOwnershipRange(B,&Istart,&Iend);
     54:   for (i=Istart;i<Iend;i++) {
     55:     if (i>0) { MatSetValue(B,i,i-1,-1.0,INSERT_VALUES); }
     56:     if (i<n-1) { MatSetValue(B,i,i+1,-1.0,INSERT_VALUES); }
     57:     MatSetValue(B,i,i,2.0,INSERT_VALUES);
     58:   }
     59:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
     60:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
     61:   MatCreateVecs(B,&t,NULL);

     63:   /* Create BV object X */
     64:   BVCreate(PETSC_COMM_WORLD,&X);
     65:   PetscObjectSetName((PetscObject)X,"X");
     66:   BVSetSizesFromVec(X,t,k);
     67:   BVSetFromOptions(X);
     68:   BVSetMatrix(X,B,PETSC_FALSE);

     70:   /* Set up viewer */
     71:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
     72:   if (verbose) {
     73:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
     74:   }

     76:   /* Fill X entries */
     77:   for (j=0;j<k;j++) {
     78:     BVGetColumn(X,j,&v);
     79:     VecSet(v,0.0);
     80:     for (i=0;i<4;i++) {
     81:       if (i+j<n) {
     82:         VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES);
     83:       }
     84:     }
     85:     VecAssemblyBegin(v);
     86:     VecAssemblyEnd(v);
     87:     BVRestoreColumn(X,j,&v);
     88:   }
     89:   if (verbose) {
     90:     MatView(B,view);
     91:     BVView(X,view);
     92:   }

     94:   /* Test BVNormColumn */
     95:   BVNormColumn(X,0,NORM_2,&nrm);
     96:   PetscPrintf(PETSC_COMM_WORLD,"B-Norm or X[0] = %g\n",(double)nrm);

     98:   /* Test BVOrthogonalizeColumn */
     99:   for (j=0;j<k;j++) {
    100:     BVOrthogonalizeColumn(X,j,NULL,&nrm,NULL);
    101:     alpha = 1.0/nrm;
    102:     BVScaleColumn(X,j,alpha);
    103:   }
    104:   if (verbose) {
    105:     BVView(X,view);
    106:   }

    108:   /* Check orthogonality */
    109:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
    110:   BVDot(X,X,M);
    111:   MatShift(M,-1.0);
    112:   MatNorm(M,NORM_1,&nrm);
    113:   if (nrm<100*PETSC_MACHINE_EPSILON) {
    114:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
    115:   } else {
    116:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)nrm);
    117:   }

    119:   BVDestroy(&X);
    120:   MatDestroy(&M);
    121:   MatDestroy(&B);
    122:   VecDestroy(&t);
    123:   SlepcFinalize();
    124:   return 0;
    125: }