Date: 2026-05-01T10:02:14+00:00

Actual source code: test5.c

      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,NULL,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: 1_hip
    150:          args: -bv_type {{svec mat}} -mat_type aijhipsparse
    151:          requires: hip
    152:       test:
    153:          suffix: 2
    154:          args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
    155:       test:
    156:          suffix: 2_cuda
    157:          args: -bv_type {{svec mat}} -mat_type aijcusparse -bv_orthog_type mgs
    158:          requires: cuda
    159:       test:
    160:          suffix: 2_hip
    161:          args: -bv_type {{svec mat}} -mat_type aijhipsparse -bv_orthog_type mgs
    162:          requires: hip

    164: TEST*/