Date: 2026-01-20T11:35:22+00:00

Actual source code: test16.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 tensor BV.\n\n";

     13: #include <slepcbv.h>

     15: int main(int argc,char **argv)
     16: {
     17:   Vec               t,v;
     18:   Mat               S,M,Q;
     19:   BV                U,V,UU;
     20:   PetscInt          i,ii,j,jj,n=10,k=6,l=3,d=3,deg,id,lds;
     21:   PetscScalar       *pS,*q;
     22:   PetscReal         norm;
     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(PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL));
     31:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-d",&d,NULL));
     32:   PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
     33:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test tensor BV of degree %" PetscInt_FMT " with %" PetscInt_FMT " columns of dimension %" PetscInt_FMT "*d.\n",d,k,n));

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

     40:   /* Create BV object U */
     41:   PetscCall(BVCreate(PETSC_COMM_WORLD,&U));
     42:   PetscCall(PetscObjectSetName((PetscObject)U,"U"));
     43:   PetscCall(BVSetSizesFromVec(U,t,k+d-1));
     44:   PetscCall(BVSetFromOptions(U));
     45:   PetscCall(PetscObjectSetName((PetscObject)U,"U"));

     47:   /* Fill first d columns of U */
     48:   for (j=0;j<d;j++) {
     49:     PetscCall(BVGetColumn(U,j,&v));
     50:     PetscCall(VecSet(v,0.0));
     51:     for (i=0;i<4;i++) {
     52:       if (i+j<n) PetscCall(VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES));
     53:     }
     54:     PetscCall(VecAssemblyBegin(v));
     55:     PetscCall(VecAssemblyEnd(v));
     56:     PetscCall(BVRestoreColumn(U,j,&v));
     57:   }

     59:   /* Create tensor BV */
     60:   PetscCall(BVCreateTensor(U,d,&V));
     61:   PetscCall(PetscObjectSetName((PetscObject)V,"V"));
     62:   PetscCall(BVTensorGetDegree(V,&deg));
     63:   PetscCheck(deg==d,PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Wrong degree");

     65:   /* Set up viewer */
     66:   PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view));
     67:   PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_INFO_DETAIL));
     68:   PetscCall(BVView(V,view));
     69:   PetscCall(PetscViewerPopFormat(view));
     70:   if (verbose) {
     71:     PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB));
     72:     PetscCall(BVView(V,view));
     73:   }

     75:   /* Build first column from previously introduced coefficients */
     76:   PetscCall(BVTensorBuildFirstColumn(V,d));
     77:   if (verbose) {
     78:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After building the first column - - - - -\n"));
     79:     PetscCall(BVView(V,view));
     80:   }

     82:   /* Test orthogonalization */
     83:   PetscCall(BVTensorGetFactors(V,&UU,&S));
     84:   PetscCall(BVGetActiveColumns(UU,NULL,&j));
     85:   PetscCall(BVGetSizes(UU,NULL,NULL,&id));
     86:   PetscCheck(id==k+d-1,PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Wrong dimensions");
     87:   lds = id*d;
     88:   for (jj=1;jj<k;jj++) {
     89:     /* set new orthogonal column in U */
     90:     PetscCall(BVGetColumn(UU,j,&v));
     91:     PetscCall(VecSet(v,0.0));
     92:     for (i=0;i<4;i++) {
     93:       if (i+j<n) PetscCall(VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES));
     94:     }
     95:     PetscCall(VecAssemblyBegin(v));
     96:     PetscCall(VecAssemblyEnd(v));
     97:     PetscCall(BVRestoreColumn(UU,j,&v));
     98:     PetscCall(BVOrthonormalizeColumn(UU,j,PETSC_TRUE,NULL,NULL));
     99:     j++;
    100:     PetscCall(BVSetActiveColumns(UU,0,j));
    101:     /* set new column of S */
    102:     PetscCall(MatDenseGetArray(S,&pS));
    103:     for (ii=0;ii<d;ii++) {
    104:       for (i=0;i<ii+jj+1;i++) {
    105:         pS[i+ii*id+jj*lds] = (PetscScalar)(2*ii+i+0.5*jj);
    106:       }
    107:     }
    108:     PetscCall(MatDenseRestoreArray(S,&pS));
    109:     PetscCall(BVOrthonormalizeColumn(V,jj,PETSC_TRUE,NULL,NULL));
    110:   }
    111:   PetscCall(BVTensorRestoreFactors(V,&UU,&S));
    112:   if (verbose) {
    113:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After orthogonalization - - - - -\n"));
    114:     PetscCall(BVView(V,view));
    115:   }

    117:   /* Check orthogonality */
    118:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M));
    119:   PetscCall(BVDot(V,V,M));
    120:   PetscCall(MatShift(M,-1.0));
    121:   PetscCall(MatNorm(M,NORM_1,&norm));
    122:   if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n"));
    123:   else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm));

    125:   /* Test BVTensorCompress */
    126:   PetscCall(BVSetActiveColumns(V,0,l));
    127:   PetscCall(BVTensorCompress(V,0));
    128:   if (verbose) {
    129:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After BVTensorCompress - - - - -\n"));
    130:     PetscCall(BVView(V,view));
    131:   }

    133:   /* Create Mat */
    134:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,l,NULL,&Q));
    135:   PetscCall(PetscObjectSetName((PetscObject)Q,"Q"));
    136:   PetscCall(MatDenseGetArray(Q,&q));
    137:   for (i=0;i<k;i++)
    138:     for (j=0;j<l;j++)
    139:       q[i+j*k] = (i<j)? 2.0: -0.5;
    140:   PetscCall(MatDenseRestoreArray(Q,&q));
    141:   if (verbose) PetscCall(MatView(Q,NULL));

    143:   /* Test BVMultInPlace */
    144:   PetscCall(BVMultInPlace(V,Q,1,l));
    145:   if (verbose) {
    146:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After BVMultInPlace - - - - -\n"));
    147:     PetscCall(BVView(V,view));
    148:   }

    150:   /* Test BVNorm */
    151:   PetscCall(BVNorm(V,NORM_1,&norm));
    152:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm: %g\n",(double)norm));

    154:   PetscCall(BVDestroy(&U));
    155:   PetscCall(BVDestroy(&V));
    156:   PetscCall(MatDestroy(&Q));
    157:   PetscCall(MatDestroy(&M));
    158:   PetscCall(VecDestroy(&t));
    159:   PetscCall(SlepcFinalize());
    160:   return 0;
    161: }

    163: /*TEST

    165:    testset:
    166:       nsize: 2
    167:       output_file: output/test16_1.out
    168:       filter: grep -v "doing matmult"
    169:       test:
    170:          suffix: 1
    171:          args: -bv_type {{vecs contiguous svec mat}}
    172:       test:
    173:          suffix: 1_cuda
    174:          args: -bv_type {{vecs svec mat}} -vec_type cuda
    175:          requires: cuda
    176:       test:
    177:          suffix: 1_hip
    178:          args: -bv_type {{vecs svec mat}} -vec_type hip
    179:          requires: hip

    181: TEST*/