Date: 2023-01-26T12:18:18+00:00

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*/