Date: 2022-03-31T15:28:58+00:00

Actual source code: test6.c
slepc-3.17.0 2022-03-31
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

      6:    This file is part of SLEPc.
      7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
      8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      9: */

     11: static char help[] = "Test BV orthogonalization functions with constraints.\n\n";

     13: #include <slepcbv.h>

     15: int main(int argc,char **argv)
     16: {
     17:   BV             X;
     18:   Mat            M;
     19:   Vec            v,t,*C;
     20:   PetscInt       i,j,n=20,k=8,nc=2,nloc;
     21:   PetscViewer    view;
     22:   PetscBool      verbose;
     23:   PetscReal      norm;
     24:   PetscScalar    alpha;

     26:   SlepcInitialize(&argc,&argv,(char*)0,help);
     27:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     28:   PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
     29:   PetscOptionsGetInt(NULL,NULL,"-nc",&nc,NULL);
     30:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
     31:   PetscPrintf(PETSC_COMM_WORLD,"Test BV orthogonalization with %" PetscInt_FMT " columns + %" PetscInt_FMT " constraints, of length %" PetscInt_FMT ".\n",k,nc,n);

     33:   /* Create template vector */
     34:   VecCreate(PETSC_COMM_WORLD,&t);
     35:   VecSetSizes(t,PETSC_DECIDE,n);
     36:   VecSetFromOptions(t);
     37:   VecGetLocalSize(t,&nloc);

     39:   /* Create BV object X */
     40:   BVCreate(PETSC_COMM_WORLD,&X);
     41:   PetscObjectSetName((PetscObject)X,"X");
     42:   BVSetSizes(X,nloc,n,k);
     43:   BVSetFromOptions(X);

     45:   /* Generate constraints and attach them to X */
     46:   if (nc>0) {
     47:     VecDuplicateVecs(t,nc,&C);
     48:     for (j=0;j<nc;j++) {
     49:       for (i=0;i<=j;i++) VecSetValue(C[j],i,1.0,INSERT_VALUES);
     50:       VecAssemblyBegin(C[j]);
     51:       VecAssemblyEnd(C[j]);
     52:     }
     53:     BVInsertConstraints(X,&nc,C);
     54:     VecDestroyVecs(nc,&C);
     55:   }

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

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

     77:   /* Test BVOrthogonalizeColumn */
     78:   for (j=0;j<k;j++) {
     79:     BVOrthogonalizeColumn(X,j,NULL,&norm,NULL);
     80:     alpha = 1.0/norm;
     81:     BVScaleColumn(X,j,alpha);
     82:   }
     83:   if (verbose) BVView(X,view);

     85:   /* Check orthogonality */
     86:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
     87:   BVDot(X,X,M);
     88:   MatShift(M,-1.0);
     89:   MatNorm(M,NORM_1,&norm);
     90:   if (norm<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
     91:   else PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);

     93:   MatDestroy(&M);
     94:   BVDestroy(&X);
     95:   VecDestroy(&t);
     96:   SlepcFinalize();
     97:   return 0;
     98: }

    100: /*TEST

    102:    testset:
    103:       output_file: output/test6_1.out
    104:       test:
    105:          suffix: 1
    106:          args: -bv_type {{vecs contiguous svec mat}shared output}
    107:       test:
    108:          suffix: 1_cuda
    109:          args: -bv_type svec -vec_type cuda
    110:          requires: cuda
    111:       test:
    112:          suffix: 2
    113:          nsize: 2
    114:          args: -bv_type {{vecs contiguous svec mat}shared output}
    115:       test:
    116:          suffix: 3
    117:          args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
    118:       test:
    119:          suffix: 3_cuda
    120:          args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
    121:          requires: cuda

    123: TEST*/