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 operations with indefinite inner product.\n\n";

 13: #include <slepcbv.h>

 15: int main(int argc,char **argv)
 16: {
 17:   Vec            t,v,w,omega;
 18:   Mat            B,M;
 19:   BV             X,Y;
 20:   PetscInt       i,j,n=10,k=5,l,Istart,Iend;
 21:   PetscScalar    alpha;
 22:   PetscReal      nrm;
 23:   PetscViewer    view;
 24:   PetscBool      verbose;

 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(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
 31:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test BV with indefinite inner product (n=%" PetscInt_FMT ", k=%" PetscInt_FMT ").\n",n,k));

 33:   /* Create inner product matrix (standard involutionary permutation) */
 34:   PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
 35:   PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n));
 36:   PetscCall(MatSetFromOptions(B));
 37:   PetscCall(PetscObjectSetName((PetscObject)B,"B"));

 39:   PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
 40:   for (i=Istart;i<Iend;i++) PetscCall(MatSetValue(B,i,n-i-1,1.0,INSERT_VALUES));
 41:   PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
 42:   PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
 43:   PetscCall(MatCreateVecs(B,&t,NULL));

 45:   /* Create BV object X */
 46:   PetscCall(BVCreate(PETSC_COMM_WORLD,&X));
 47:   PetscCall(PetscObjectSetName((PetscObject)X,"X"));
 48:   PetscCall(BVSetSizesFromVec(X,t,k));
 49:   PetscCall(BVSetFromOptions(X));
 50:   PetscCall(BVSetMatrix(X,B,PETSC_TRUE));

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

 56:   /* Fill X entries */
 57:   l = -3;
 58:   for (j=0;j<k;j++) {
 59:     PetscCall(BVGetColumn(X,j,&v));
 60:     PetscCall(VecSet(v,-1.0));
 61:     for (i=0;i<n/2;i++) {
 62:       if (i+j<n) {
 63:         l = (l + 3*i+j-2) % n;
 64:         PetscCall(VecSetValue(v,i+j,(PetscScalar)l,INSERT_VALUES));
 65:       }
 66:     }
 67:     PetscCall(VecAssemblyBegin(v));
 68:     PetscCall(VecAssemblyEnd(v));
 69:     PetscCall(BVRestoreColumn(X,j,&v));
 70:   }
 71:   if (verbose) {
 72:     PetscCall(MatView(B,view));
 73:     PetscCall(BVView(X,view));
 74:   }

 76:   /* Test BVNormColumn */
 77:   PetscCall(BVNormColumn(X,0,NORM_2,&nrm));
 78:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"B-Norm of X[0] = %g\n",(double)nrm));

 80:   /* Test BVOrthogonalizeColumn */
 81:   for (j=0;j<k;j++) {
 82:     PetscCall(BVOrthogonalizeColumn(X,j,NULL,&nrm,NULL));
 83:     alpha = 1.0/nrm;
 84:     PetscCall(BVScaleColumn(X,j,alpha));
 85:   }
 86:   if (verbose) PetscCall(BVView(X,view));

 88:   /* Create a copy on Y */
 89:   PetscCall(BVDuplicate(X,&Y));
 90:   PetscCall(PetscObjectSetName((PetscObject)Y,"Y"));
 91:   PetscCall(BVCopy(X,Y));

 93:   /* Check orthogonality */
 94:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M));
 95:   PetscCall(BVDot(Y,Y,M));
 96:   PetscCall(VecCreateSeq(PETSC_COMM_SELF,k,&omega));
 97:   PetscCall(BVGetSignature(Y,omega));
 98:   PetscCall(VecScale(omega,-1.0));
 99:   PetscCall(MatDiagonalSet(M,omega,ADD_VALUES));
100:   PetscCall(MatNorm(M,NORM_1,&nrm));
101:   if (nrm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n"));
102:   else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)nrm));

104:   /* Test BVSetSignature */
105:   PetscCall(VecScale(omega,-1.0));
106:   PetscCall(BVSetSignature(Y,omega));
107:   PetscCall(VecDestroy(&omega));

109:   /* Test BVApplyMatrix */
110:   PetscCall(VecDuplicate(t,&w));
111:   PetscCall(BVGetColumn(X,0,&v));
112:   PetscCall(BVApplyMatrix(X,v,w));
113:   PetscCall(BVApplyMatrix(X,w,t));
114:   PetscCall(VecAXPY(t,-1.0,v));
115:   PetscCall(BVRestoreColumn(X,0,&v));
116:   PetscCall(VecNorm(t,NORM_2,&nrm));
117:   PetscCheck(PetscAbsReal(nrm)<10*PETSC_MACHINE_EPSILON,PETSC_COMM_WORLD,PETSC_ERR_FP,"Wrong value, nrm = %g",(double)nrm);

119:   PetscCall(BVApplyMatrixBV(X,Y));
120:   PetscCall(BVGetColumn(Y,0,&v));
121:   PetscCall(VecAXPY(w,-1.0,v));
122:   PetscCall(BVRestoreColumn(Y,0,&v));
123:   PetscCall(VecNorm(w,NORM_2,&nrm));
124:   PetscCheck(PetscAbsReal(nrm)<10*PETSC_MACHINE_EPSILON,PETSC_COMM_WORLD,PETSC_ERR_FP,"Wrong value, nrm = %g",(double)nrm);

126:   PetscCall(BVDestroy(&X));
127:   PetscCall(BVDestroy(&Y));
128:   PetscCall(MatDestroy(&M));
129:   PetscCall(MatDestroy(&B));
130:   PetscCall(VecDestroy(&w));
131:   PetscCall(VecDestroy(&t));
132:   PetscCall(SlepcFinalize());
133:   return 0;
134: }

136: /*TEST

138:    testset:
139:       output_file: output/test5_1.out
140:       args: -bv_orthog_refine always
141:       test:
142:          suffix: 1
143:          args: -bv_type {{vecs contiguous svec mat}shared output}
144:       test:
145:          suffix: 1_cuda
146:          args: -bv_type {{svec mat}} -mat_type aijcusparse
147:          requires: cuda
148:       test:
149:          suffix: 2
150:          args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
151:       test:
152:          suffix: 2_cuda
153:          args: -bv_type {{svec mat}} -mat_type aijcusparse -bv_orthog_type mgs
154:          requires: cuda

156: TEST*/