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

Actual source code: test4.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, changing the number of active columns.\n\n";

     24: #include <slepcbv.h>

     28: int main(int argc,char **argv)
     29: {
     31:   Vec            t,v;
     32:   Mat            Q,M;
     33:   BV             X,Y;
     34:   PetscInt       i,j,n=10,kx=6,lx=3,ky=5,ly=2;
     35:   PetscScalar    *q,*z;
     36:   PetscReal      nrm;
     37:   PetscViewer    view;
     38:   PetscBool      verbose,trans;

     40:   SlepcInitialize(&argc,&argv,(char*)0,help);
     41:   PetscOptionsGetInt(NULL,"-n",&n,NULL);
     42:   PetscOptionsGetInt(NULL,"-kx",&kx,NULL);
     43:   PetscOptionsGetInt(NULL,"-lx",&lx,NULL);
     44:   PetscOptionsGetInt(NULL,"-ky",&ky,NULL);
     45:   PetscOptionsGetInt(NULL,"-ly",&ly,NULL);
     46:   PetscOptionsHasName(NULL,"-verbose",&verbose);
     47:   PetscPrintf(PETSC_COMM_WORLD,"First BV with %D active columns (%D leading columns) of dimension %D.\n",kx,lx,n);
     48:   PetscPrintf(PETSC_COMM_WORLD,"Second BV with %D active columns (%D leading columns) of dimension %D.\n",ky,ly,n);

     50:   /* Create template vector */
     51:   VecCreate(PETSC_COMM_WORLD,&t);
     52:   VecSetSizes(t,PETSC_DECIDE,n);
     53:   VecSetFromOptions(t);

     55:   /* Create BV object X */
     56:   BVCreate(PETSC_COMM_WORLD,&X);
     57:   PetscObjectSetName((PetscObject)X,"X");
     58:   BVSetSizesFromVec(X,t,kx+2);  /* two extra columns to test active columns */
     59:   BVSetFromOptions(X);
     60:   BVSetActiveColumns(X,lx,kx);

     62:   /* Set up viewer */
     63:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
     64:   if (verbose) {
     65:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
     66:   }

     68:   /* Fill X entries */
     69:   for (j=0;j<kx+2;j++) {
     70:     BVGetColumn(X,j,&v);
     71:     VecSet(v,0.0);
     72:     for (i=0;i<4;i++) {
     73:       if (i+j<n) {
     74:         VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES);
     75:       }
     76:     }
     77:     VecAssemblyBegin(v);
     78:     VecAssemblyEnd(v);
     79:     BVRestoreColumn(X,j,&v);
     80:   }
     81:   if (verbose) {
     82:     BVView(X,view);
     83:   }

     85:   /* Create BV object Y */
     86:   BVCreate(PETSC_COMM_WORLD,&Y);
     87:   PetscObjectSetName((PetscObject)Y,"Y");
     88:   BVSetSizesFromVec(Y,t,ky+1);
     89:   BVSetFromOptions(Y);
     90:   BVSetActiveColumns(Y,ly,ky);

     92:   /* Fill Y entries */
     93:   for (j=0;j<ky+1;j++) {
     94:     BVGetColumn(Y,j,&v);
     95:     VecSet(v,(PetscScalar)(j+1)/4.0);
     96:     BVRestoreColumn(Y,j,&v);
     97:   }
     98:   if (verbose) {
     99:     BVView(Y,view);
    100:   }

    102:   /* Create Mat */
    103:   MatCreateSeqDense(PETSC_COMM_SELF,kx,ky,NULL,&Q);
    104:   PetscObjectSetName((PetscObject)Q,"Q");
    105:   MatDenseGetArray(Q,&q);
    106:   for (i=0;i<kx;i++)
    107:     for (j=0;j<ky;j++)
    108:       q[i+j*kx] = (i<j)? 2.0: -0.5;
    109:   MatDenseRestoreArray(Q,&q);
    110:   if (verbose) {
    111:     MatView(Q,NULL);
    112:   }

    114:   /* Test BVMult */
    115:   BVMult(Y,2.0,1.0,X,Q);
    116:   if (verbose) {
    117:     PetscPrintf(PETSC_COMM_WORLD,"After BVMult - - - - - - - - -\n");
    118:     BVView(Y,view);
    119:   }

    121:   /* Test BVMultVec */
    122:   BVGetColumn(Y,0,&v);
    123:   PetscMalloc1(kx-lx,&z);
    124:   z[0] = 2.0;
    125:   for (i=1;i<kx-lx;i++) z[i] = -0.5*z[i-1];
    126:   BVMultVec(X,-1.0,1.0,v,z);
    127:   PetscFree(z);
    128:   BVRestoreColumn(Y,0,&v);
    129:   if (verbose) {
    130:     PetscPrintf(PETSC_COMM_WORLD,"After BVMultVec - - - - - - -\n");
    131:     BVView(Y,view);
    132:   }

    134:   /* Test BVDot */
    135:   MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&M);
    136:   PetscObjectSetName((PetscObject)M,"M");
    137:   BVDot(X,Y,M);
    138:   if (verbose) {
    139:     PetscPrintf(PETSC_COMM_WORLD,"After BVDot - - - - - - - - -\n");
    140:     MatView(M,NULL);
    141:   }

    143:   /* Test BVDotVec */
    144:   BVGetColumn(Y,0,&v);
    145:   PetscMalloc1(kx-lx,&z);
    146:   BVDotVec(X,v,z);
    147:   BVRestoreColumn(Y,0,&v);
    148:   if (verbose) {
    149:     PetscPrintf(PETSC_COMM_WORLD,"After BVDotVec - - - - - - -\n");
    150:     VecCreateSeqWithArray(PETSC_COMM_SELF,1,kx-lx,z,&v);
    151:     PetscObjectSetName((PetscObject)v,"z");
    152:     VecView(v,view);
    153:     VecDestroy(&v);
    154:   }
    155:   PetscFree(z);

    157:   /* Test BVMultInPlace and BVScale */
    158:   PetscOptionsHasName(NULL,"-trans",&trans);
    159:   if (trans) {
    160:     Mat Qt;
    161:     MatTranspose(Q,MAT_INITIAL_MATRIX,&Qt);
    162:     BVMultInPlaceTranspose(X,Qt,lx+1,ky);
    163:     MatDestroy(&Qt);
    164:   } else {
    165:     BVMultInPlace(X,Q,lx+1,ky);
    166:   }
    167:   BVScale(X,2.0);
    168:   if (verbose) {
    169:     PetscPrintf(PETSC_COMM_WORLD,"After BVMultInPlace - - - - -\n");
    170:     BVView(X,view);
    171:   }

    173:   /* Test BVNorm */
    174:   BVNormColumn(X,lx,NORM_2,&nrm);
    175:   PetscPrintf(PETSC_COMM_WORLD,"2-Norm or X[%D] = %g\n",lx,(double)nrm);
    176:   BVNorm(X,NORM_FROBENIUS,&nrm);
    177:   PetscPrintf(PETSC_COMM_WORLD,"Frobenius Norm or X = %g\n",(double)nrm);

    179:   BVDestroy(&X);
    180:   BVDestroy(&Y);
    181:   MatDestroy(&Q);
    182:   MatDestroy(&M);
    183:   VecDestroy(&t);
    184:   SlepcFinalize();
    185:   return 0;
    186: }