Date: 2016-03-29T14:57:30+00:00

Actual source code: test2.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 orthogonalization functions.\n\n";

     24: #include <slepcbv.h>

     28: int main(int argc,char **argv)
     29: {
     31:   BV             X,Y,Z;
     32:   Mat            M,R;
     33:   Vec            v,t,e;
     34:   PetscInt       i,j,n=20,k=8;
     35:   PetscViewer    view;
     36:   PetscBool      verbose;
     37:   PetscReal      norm;
     38:   PetscScalar    alpha;

     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 orthogonalization with %D columns of length %D.\n",k,n);

     46:   /* Create template vector */
     47:   VecCreate(PETSC_COMM_WORLD,&t);
     48:   VecSetSizes(t,PETSC_DECIDE,n);
     49:   VecSetFromOptions(t);

     51:   /* Create BV object X */
     52:   BVCreate(PETSC_COMM_WORLD,&X);
     53:   PetscObjectSetName((PetscObject)X,"X");
     54:   BVSetSizesFromVec(X,t,k);
     55:   BVSetFromOptions(X);

     57:   /* Set up viewer */
     58:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
     59:   if (verbose) {
     60:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
     61:   }

     63:   /* Fill X entries */
     64:   for (j=0;j<k;j++) {
     65:     BVGetColumn(X,j,&v);
     66:     VecSet(v,0.0);
     67:     for (i=0;i<=n/2;i++) {
     68:       if (i+j<n) {
     69:         alpha = (3.0*i+j-2)/(2*(i+j+1));
     70:         VecSetValue(v,i+j,alpha,INSERT_VALUES);
     71:       }
     72:     }
     73:     VecAssemblyBegin(v);
     74:     VecAssemblyEnd(v);
     75:     BVRestoreColumn(X,j,&v);
     76:   }
     77:   if (verbose) {
     78:     BVView(X,view);
     79:   }

     81:   /* Create copies on Y and Z */
     82:   BVDuplicate(X,&Y);
     83:   PetscObjectSetName((PetscObject)Y,"Y");
     84:   BVCopy(X,Y);
     85:   BVDuplicate(X,&Z);
     86:   PetscObjectSetName((PetscObject)Z,"Z");
     87:   BVCopy(X,Z);

     89:   /* Test BVOrthogonalizeColumn */
     90:   for (j=0;j<k;j++) {
     91:     BVOrthogonalizeColumn(X,j,NULL,&norm,NULL);
     92:     alpha = 1.0/norm;
     93:     BVScaleColumn(X,j,alpha);
     94:   }
     95:   if (verbose) {
     96:     BVView(X,view);
     97:   }

     99:   /* Check orthogonality */
    100:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
    101:   BVDot(X,X,M);
    102:   MatShift(M,-1.0);
    103:   MatNorm(M,NORM_1,&norm);
    104:   if (norm<100*PETSC_MACHINE_EPSILON) {
    105:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
    106:   } else {
    107:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
    108:   }

    110:   /* Test BVOrthogonalize */
    111:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&R);
    112:   PetscObjectSetName((PetscObject)R,"R");
    113:   BVOrthogonalize(Y,R);
    114:   if (verbose) {
    115:     BVView(Y,view);
    116:     MatView(R,view);
    117:   }

    119:   /* Check orthogonality */
    120:   BVDot(Y,Y,M);
    121:   MatShift(M,-1.0);
    122:   MatNorm(M,NORM_1,&norm);
    123:   if (norm<100*PETSC_MACHINE_EPSILON) {
    124:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
    125:   } else {
    126:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
    127:   }

    129:   /* Check residual */
    130:   BVMult(Z,-1.0,1.0,Y,R);
    131:   BVNorm(Z,NORM_FROBENIUS,&norm);
    132:   if (norm<100*PETSC_MACHINE_EPSILON) {
    133:     PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR|| < 100*eps\n");
    134:   } else {
    135:     PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR||: %g\n",(double)norm);
    136:   }

    138:   /* Test BVOrthogonalizeVec */
    139:   VecDuplicate(t,&e);
    140:   VecSet(e,1.0);
    141:   BVOrthogonalizeVec(X,e,NULL,&norm,NULL);
    142:   PetscPrintf(PETSC_COMM_WORLD,"Norm of ones(n,1) after orthogonalizing against X: %g\n",(double)norm);

    144:   MatDestroy(&M);
    145:   MatDestroy(&R);
    146:   BVDestroy(&X);
    147:   BVDestroy(&Y);
    148:   BVDestroy(&Z);
    149:   VecDestroy(&e);
    150:   VecDestroy(&t);
    151:   SlepcFinalize();
    152:   return 0;
    153: }