Date: 2022-08-09T09:05:27+00:00

Actual source code: test17.c
slepc-3.17.2 2022-08-09
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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;

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

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

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

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

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

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

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

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

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

    116: /*TEST

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

    136: TEST*/