Date: 2016-03-29T14:57:32+00:00

Actual source code: test9.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 matrix projection.\n\n";

     24: #include <slepcbv.h>

     28: int main(int argc,char **argv)
     29: {
     31:   Vec            t,v;
     32:   Mat            B,G,H0,H1;
     33:   BV             X,Y,Z;
     34:   PetscInt       i,j,n=20,kx=6,lx=3,ky=5,ly=2,Istart,Iend,col[5];
     35:   PetscScalar    alpha,value[] = { -1, 1, 1, 1, 1 };
     36:   PetscViewer    view;
     37:   PetscReal      norm;
     38:   PetscBool      verbose;

     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,"Test BV projection (n=%D).\n",n);
     48:   PetscPrintf(PETSC_COMM_WORLD,"X has %D active columns (%D leading columns).\n",kx,lx);
     49:   PetscPrintf(PETSC_COMM_WORLD,"Y has %D active columns (%D leading columns).\n",ky,ly);

     51:   /* Set up viewer */
     52:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
     53:   if (verbose) {
     54:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
     55:   }

     57:   /* Create non-symmetric matrix G (Toeplitz) */
     58:   MatCreate(PETSC_COMM_WORLD,&G);
     59:   MatSetSizes(G,PETSC_DECIDE,PETSC_DECIDE,n,n);
     60:   MatSetFromOptions(G);
     61:   MatSetUp(G);
     62:   PetscObjectSetName((PetscObject)G,"G");

     64:   MatGetOwnershipRange(G,&Istart,&Iend);
     65:   for (i=Istart;i<Iend;i++) {
     66:     col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
     67:     if (i==0) {
     68:       MatSetValues(G,1,&i,PetscMin(4,n-i),col+1,value+1,INSERT_VALUES);
     69:     } else {
     70:       MatSetValues(G,1,&i,PetscMin(5,n-i+1),col,value,INSERT_VALUES);
     71:     }
     72:   }
     73:   MatAssemblyBegin(G,MAT_FINAL_ASSEMBLY);
     74:   MatAssemblyEnd(G,MAT_FINAL_ASSEMBLY);
     75:   if (verbose) {
     76:     MatView(G,view);
     77:   }

     79:   /* Create symmetric matrix B (1-D Laplacian) */
     80:   MatCreate(PETSC_COMM_WORLD,&B);
     81:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
     82:   MatSetFromOptions(B);
     83:   MatSetUp(B);
     84:   PetscObjectSetName((PetscObject)B,"B");

     86:   MatGetOwnershipRange(B,&Istart,&Iend);
     87:   for (i=Istart;i<Iend;i++) {
     88:     if (i>0) { MatSetValue(B,i,i-1,-1.0,INSERT_VALUES); }
     89:     if (i<n-1) { MatSetValue(B,i,i+1,-1.0,INSERT_VALUES); }
     90:     MatSetValue(B,i,i,2.0,INSERT_VALUES);
     91:   }
     92:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
     93:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
     94:   MatCreateVecs(B,&t,NULL);
     95:   if (verbose) {
     96:     MatView(B,view);
     97:   }

     99:   /* Create BV object X */
    100:   BVCreate(PETSC_COMM_WORLD,&X);
    101:   PetscObjectSetName((PetscObject)X,"X");
    102:   BVSetSizesFromVec(X,t,kx+2);  /* two extra columns to test active columns */
    103:   BVSetFromOptions(X);

    105:   /* Fill X entries */
    106:   for (j=0;j<kx+2;j++) {
    107:     BVGetColumn(X,j,&v);
    108:     VecSet(v,0.0);
    109:     for (i=0;i<4;i++) {
    110:       if (i+j<n) {
    111: #if defined(PETSC_USE_COMPLEX)
    112:         alpha = (PetscReal)(3*i+j-2)+(PetscReal)(2*i)*PETSC_i;
    113: #else
    114:         alpha = (PetscReal)(3*i+j-2);
    115: #endif
    116:         VecSetValue(v,i+j,alpha,INSERT_VALUES);
    117:       }
    118:     }
    119:     VecAssemblyBegin(v);
    120:     VecAssemblyEnd(v);
    121:     BVRestoreColumn(X,j,&v);
    122:   }
    123:   if (verbose) {
    124:     BVView(X,view);
    125:   }

    127:   /* Duplicate BV object and store Z=G*X */
    128:   BVDuplicate(X,&Z);
    129:   PetscObjectSetName((PetscObject)Z,"Z");
    130:   BVSetActiveColumns(X,0,kx);
    131:   BVMatMult(X,G,Z);
    132:   BVSetActiveColumns(X,lx,kx);
    133:   BVSetActiveColumns(Z,lx,kx);

    135:   /* Create BV object Y */
    136:   BVCreate(PETSC_COMM_WORLD,&Y);
    137:   PetscObjectSetName((PetscObject)Y,"Y");
    138:   BVSetSizesFromVec(Y,t,ky+1);
    139:   BVSetFromOptions(Y);
    140:   BVSetActiveColumns(Y,ly,ky);

    142:   /* Fill Y entries */
    143:   for (j=0;j<ky+1;j++) {
    144:     BVGetColumn(Y,j,&v);
    145: #if defined(PETSC_USE_COMPLEX)
    146:     alpha = (PetscReal)(j+1)/4.0-(PetscReal)j*PETSC_i;
    147: #else
    148:     alpha = (PetscReal)(j+1)/4.0;
    149: #endif
    150:     VecSet(v,(PetscScalar)(j+1)/4.0);
    151:     BVRestoreColumn(Y,j,&v);
    152:   }
    153:   if (verbose) {
    154:     BVView(Y,view);
    155:   }

    157:   /* Test BVMatProject for non-symmetric matrix G */
    158:   MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H0);
    159:   PetscObjectSetName((PetscObject)H0,"H0");
    160:   BVMatProject(X,G,Y,H0);
    161:   if (verbose) {
    162:     MatView(H0,view);
    163:   }

    165:   /* Test BVMatProject with previously stored G*X */
    166:   MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H1);
    167:   PetscObjectSetName((PetscObject)H1,"H1");
    168:   BVMatProject(Z,NULL,Y,H1);
    169:   if (verbose) {
    170:     MatView(H1,view);
    171:   }

    173:   /* Check that H0 and H1 are equal */
    174:   MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN);
    175:   MatNorm(H0,NORM_1,&norm);
    176:   if (norm<10*PETSC_MACHINE_EPSILON) {
    177:     PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n");
    178:   } else {
    179:     PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm);
    180:   }
    181:   MatDestroy(&H0);
    182:   MatDestroy(&H1);

    184:   /* Test BVMatProject for symmetric matrix B with orthogonal projection */
    185:   MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H0);
    186:   PetscObjectSetName((PetscObject)H0,"H0");
    187:   BVMatProject(X,B,X,H0);
    188:   if (verbose) {
    189:     MatView(H0,view);
    190:   }

    192:   /* Repeat previous test with symmetry flag set */
    193:   MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE);
    194:   MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H1);
    195:   PetscObjectSetName((PetscObject)H1,"H1");
    196:   BVMatProject(X,B,X,H1);
    197:   if (verbose) {
    198:     MatView(H1,view);
    199:   }

    201:   /* Check that H0 and H1 are equal */
    202:   MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN);
    203:   MatNorm(H0,NORM_1,&norm);
    204:   if (norm<10*PETSC_MACHINE_EPSILON) {
    205:     PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n");
    206:   } else {
    207:     PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm);
    208:   }
    209:   MatDestroy(&H0);
    210:   MatDestroy(&H1);

    212:   BVDestroy(&X);
    213:   BVDestroy(&Y);
    214:   BVDestroy(&Z);
    215:   MatDestroy(&B);
    216:   MatDestroy(&G);
    217:   VecDestroy(&t);
    218:   SlepcFinalize();
    219:   return 0;
    220: }