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

Actual source code: test5.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 indefinite 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:   Vec            omega;
     34:   BV             X,Y;
     35:   PetscInt       i,j,n=10,k=5,Istart,Iend;
     36:   PetscScalar    alpha;
     37:   PetscReal      nrm;
     38:   PetscViewer    view;
     39:   PetscBool      verbose;

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

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

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

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

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

     75:   /* Fill X entries */
     76:   for (j=0;j<k;j++) {
     77:     BVGetColumn(X,j,&v);
     78:     VecSet(v,-1.0);
     79:     for (i=0;i<4;i++) {
     80:       if (i+j<n) {
     81:         VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES);
     82:       }
     83:     }
     84:     VecAssemblyBegin(v);
     85:     VecAssemblyEnd(v);
     86:     BVRestoreColumn(X,j,&v);
     87:   }
     88:   if (verbose) {
     89:     MatView(B,view);
     90:     BVView(X,view);
     91:   }

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

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

    107:   /* Create a copy on Y */
    108:   BVDuplicate(X,&Y);
    109:   PetscObjectSetName((PetscObject)Y,"Y");
    110:   BVCopy(X,Y);

    112:   /* Check orthogonality */
    113:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
    114:   BVDot(Y,Y,M);
    115:   VecCreateSeq(PETSC_COMM_SELF,k,&omega);
    116:   BVGetSignature(Y,omega);
    117:   VecScale(omega,-1.0);
    118:   MatDiagonalSet(M,omega,ADD_VALUES);
    119:   VecDestroy(&omega);
    120:   MatNorm(M,NORM_1,&nrm);
    121:   if (nrm<100*PETSC_MACHINE_EPSILON) {
    122:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
    123:   } else {
    124:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)nrm);
    125:   }

    127:   BVDestroy(&X);
    128:   BVDestroy(&Y);
    129:   MatDestroy(&M);
    130:   MatDestroy(&B);
    131:   VecDestroy(&t);
    132:   SlepcFinalize();
    133:   return 0;
    134: }