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

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

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

 46:   /* Generate constraints and attach them to X */
 47:   if (nc>0) {
 48:     PetscCall(VecDuplicateVecs(t,nc,&C));
 49:     for (j=0;j<nc;j++) {
 50:       for (i=0;i<=j;i++) PetscCall(VecSetValue(C[j],i,1.0,INSERT_VALUES));
 51:       PetscCall(VecAssemblyBegin(C[j]));
 52:       PetscCall(VecAssemblyEnd(C[j]));
 53:     }
 54:     PetscCall(BVInsertConstraints(X,&nc,C));
 55:     PetscCall(VecDestroyVecs(nc,&C));
 56:   }

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

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

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

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

 94:   PetscCall(MatDestroy(&M));
 95:   PetscCall(BVDestroy(&X));
 96:   PetscCall(VecDestroy(&t));
 97:   PetscCall(SlepcFinalize());
 98:   return 0;
 99: }

101: /*TEST

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

124: TEST*/