Actual source code: test17.c

slepc-3.18.2 2023-01-26
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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 bi-orthogonalization functions.\n\n";

 13: #include <slepcbv.h>

 15: int main(int argc,char **argv)
 16: {
 17:   BV             X,Y;
 18:   Mat            M;
 19:   Vec            v,t;
 20:   PetscInt       i,j,n=20,k=7;
 21:   PetscViewer    view;
 22:   PetscBool      verbose;
 23:   PetscReal      norm,condn=1.0;
 24:   PetscScalar    alpha;

 27:   SlepcInitialize(&argc,&argv,(char*)0,help);
 28:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
 29:   PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
 30:   PetscOptionsGetReal(NULL,NULL,"-condn",&condn,NULL);
 32:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
 33:   PetscPrintf(PETSC_COMM_WORLD,"Test BV bi-orthogonalization with %" PetscInt_FMT " columns of length %" PetscInt_FMT ".\n",k,n);
 34:   if (condn>1.0) PetscPrintf(PETSC_COMM_WORLD," - Using random BVs with condition number = %g\n",(double)condn);

 36:   /* Create template vector */
 37:   VecCreate(PETSC_COMM_WORLD,&t);
 38:   VecSetSizes(t,PETSC_DECIDE,n);
 39:   VecSetFromOptions(t);

 41:   /* Create BV object X */
 42:   BVCreate(PETSC_COMM_WORLD,&X);
 43:   PetscObjectSetName((PetscObject)X,"X");
 44:   BVSetSizesFromVec(X,t,k);
 45:   BVSetFromOptions(X);

 47:   /* Set up viewer */
 48:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
 49:   if (verbose) PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);

 51:   /* Fill X entries */
 52:   if (condn==1.0) {
 53:     for (j=0;j<k;j++) {
 54:       BVGetColumn(X,j,&v);
 55:       VecSet(v,0.0);
 56:       for (i=0;i<=n/2;i++) {
 57:         if (i+j<n) {
 58:           alpha = (3.0*i+j-2)/(2*(i+j+1));
 59: #if defined(PETSC_USE_COMPLEX)
 60:           alpha += (1.2*i+j-2)/(0.1*(i+j+1))*PETSC_i;
 61: #endif
 62:           VecSetValue(v,i+j,alpha,INSERT_VALUES);
 63:         }
 64:       }
 65:       VecAssemblyBegin(v);
 66:       VecAssemblyEnd(v);
 67:       BVRestoreColumn(X,j,&v);
 68:     }
 69:   } else BVSetRandomCond(X,condn);
 70:   if (verbose) BVView(X,view);

 72:   /* Create Y and fill its entries */
 73:   BVDuplicate(X,&Y);
 74:   PetscObjectSetName((PetscObject)Y,"Y");
 75:   if (condn==1.0) {
 76:     for (j=0;j<k;j++) {
 77:       BVGetColumn(Y,j,&v);
 78:       VecSet(v,0.0);
 79:       for (i=PetscMin(n,2+(2*j)%6);i<PetscMin(n,6+(3*j)%9);i++) {
 80:         if (i%5 && i!=j) {
 81:           alpha = (1.5*i+j)/(2.2*(i-j));
 82:           VecSetValue(v,i+j,alpha,INSERT_VALUES);
 83:         }
 84:       }
 85:       VecAssemblyBegin(v);
 86:       VecAssemblyEnd(v);
 87:       BVRestoreColumn(Y,j,&v);
 88:     }
 89:   } else BVSetRandomCond(Y,condn);
 90:   if (verbose) BVView(Y,view);

 92:   /* Test BVBiorthonormalizeColumn */
 93:   for (j=0;j<k;j++) BVBiorthonormalizeColumn(X,Y,j,NULL);
 94:   if (verbose) {
 95:     BVView(X,view);
 96:     BVView(Y,view);
 97:   }

 99:   /* Check orthogonality */
100:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
101:   PetscObjectSetName((PetscObject)M,"M");
102:   BVDot(X,Y,M);
103:   if (verbose) MatView(M,view);
104:   MatShift(M,-1.0);
105:   MatNorm(M,NORM_1,&norm);
106:   if (norm<200*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Level of bi-orthogonality < 200*eps\n");
107:   else PetscPrintf(PETSC_COMM_WORLD,"Level of bi-orthogonality: %g\n",(double)norm);

109:   MatDestroy(&M);
110:   BVDestroy(&X);
111:   BVDestroy(&Y);
112:   VecDestroy(&t);
113:   SlepcFinalize();
114:   return 0;
115: }

117: /*TEST

119:    testset:
120:       output_file: output/test17_1.out
121:       test:
122:          suffix: 1
123:          args: -bv_type {{vecs contiguous svec mat}} -bv_orthog_type cgs
124:          requires: double
125:       test:
126:          suffix: 1_cuda
127:          args: -bv_type svec -vec_type cuda -bv_orthog_type cgs
128:          requires: cuda
129:       test:
130:          suffix: 2
131:          args: -bv_type {{vecs contiguous svec mat}} -bv_orthog_type mgs
132:       test:
133:          suffix: 2_cuda
134:          args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
135:          requires: cuda

137: TEST*/