Date: 2021-09-20T09:43:45+00:00

Actual source code: test16.c
slepc-3.15.2 2021-09-20
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2021, 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:   PetscErrorCode    ierr;
     18:   Vec               t,v;
     19:   Mat               S,M,Q;
     20:   BV                U,V,UU;
     21:   PetscInt          i,ii,j,jj,n=10,k=6,l=3,d=3,deg,id,lds;
     22:   PetscScalar       *pS,*q;
     23:   PetscReal         norm;
     24:   PetscViewer       view;
     25:   PetscBool         verbose;

     27:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
     28:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     29:   PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
     30:   PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL);
     31:   PetscOptionsGetInt(NULL,NULL,"-d",&d,NULL);
     32:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
     33:   PetscPrintf(PETSC_COMM_WORLD,"Test tensor BV of degree %D with %D columns of dimension %D*d.\n",d,k,n);

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

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

     47:   /* Fill first d columns of U */
     48:   for (j=0;j<d;j++) {
     49:     BVGetColumn(U,j,&v);
     50:     VecSet(v,0.0);
     51:     for (i=0;i<4;i++) {
     52:       if (i+j<n) {
     53:         VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES);
     54:       }
     55:     }
     56:     VecAssemblyBegin(v);
     57:     VecAssemblyEnd(v);
     58:     BVRestoreColumn(U,j,&v);
     59:   }

     61:   /* Create tensor BV */
     62:   BVCreateTensor(U,d,&V);
     63:   PetscObjectSetName((PetscObject)V,"V");
     64:   BVTensorGetDegree(V,&deg);
     65:   if (deg!=d) SETERRQ(PETSC_COMM_WORLD,1,"Wrong degree");

     67:   /* Set up viewer */
     68:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
     69:   PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_INFO_DETAIL);
     70:   BVView(V,view);
     71:   PetscViewerPopFormat(view);
     72:   if (verbose) {
     73:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
     74:     BVView(V,view);
     75:   }

     77:   /* Build first column from previously introduced coefficients */
     78:   BVTensorBuildFirstColumn(V,d);
     79:   if (verbose) {
     80:     PetscPrintf(PETSC_COMM_WORLD,"After building the first column - - - - -\n");
     81:     BVView(V,view);
     82:   }

     84:   /* Test orthogonalization */
     85:   BVTensorGetFactors(V,&UU,&S);
     86:   BVGetActiveColumns(UU,NULL,&j);
     87:   BVGetSizes(UU,NULL,NULL,&id);
     88:   if (id!=k+d-1) SETERRQ(PETSC_COMM_WORLD,1,"Wrong dimensions");
     89:   lds = id*d;
     90:   for (jj=1;jj<k;jj++) {
     91:     /* set new orthogonal column in U */
     92:     BVGetColumn(UU,j,&v);
     93:     VecSet(v,0.0);
     94:     for (i=0;i<4;i++) {
     95:       if (i+j<n) {
     96:         VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES);
     97:       }
     98:     }
     99:     VecAssemblyBegin(v);
    100:     VecAssemblyEnd(v);
    101:     BVRestoreColumn(UU,j,&v);
    102:     BVOrthonormalizeColumn(UU,j,PETSC_TRUE,NULL,NULL);
    103:     j++;
    104:     BVSetActiveColumns(UU,0,j);
    105:     /* set new column of S */
    106:     MatDenseGetArray(S,&pS);
    107:     for (ii=0;ii<d;ii++) {
    108:       for (i=0;i<ii+jj+1;i++) {
    109:         pS[i+ii*id+jj*lds] = (PetscScalar)(2*ii+i+0.5*jj);
    110:       }
    111:     }
    112:     MatDenseRestoreArray(S,&pS);
    113:     BVOrthonormalizeColumn(V,jj,PETSC_TRUE,NULL,NULL);
    114:   }
    115:   BVTensorRestoreFactors(V,&UU,&S);
    116:   if (verbose) {
    117:     PetscPrintf(PETSC_COMM_WORLD,"After orthogonalization - - - - -\n");
    118:     BVView(V,view);
    119:   }

    121:   /* Check orthogonality */
    122:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
    123:   BVDot(V,V,M);
    124:   MatShift(M,-1.0);
    125:   MatNorm(M,NORM_1,&norm);
    126:   if (norm<100*PETSC_MACHINE_EPSILON) {
    127:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
    128:   } else {
    129:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
    130:   }

    132:   /* Test BVTensorCompress */
    133:   BVSetActiveColumns(V,0,l);
    134:   BVTensorCompress(V,0);
    135:   if (verbose) {
    136:     PetscPrintf(PETSC_COMM_WORLD,"After BVTensorCompress - - - - -\n");
    137:     BVView(V,view);
    138:   }

    140:   /* Create Mat */
    141:   MatCreateSeqDense(PETSC_COMM_SELF,k,l,NULL,&Q);
    142:   PetscObjectSetName((PetscObject)Q,"Q");
    143:   MatDenseGetArray(Q,&q);
    144:   for (i=0;i<k;i++)
    145:     for (j=0;j<l;j++)
    146:       q[i+j*k] = (i<j)? 2.0: -0.5;
    147:   MatDenseRestoreArray(Q,&q);
    148:   if (verbose) {
    149:     MatView(Q,NULL);
    150:   }

    152:   /* Test BVMultInPlace */
    153:   BVMultInPlace(V,Q,1,l);
    154:   if (verbose) {
    155:     PetscPrintf(PETSC_COMM_WORLD,"After BVMultInPlace - - - - -\n");
    156:     BVView(V,view);
    157:   }

    159:   /* Test BVNorm */
    160:   BVNorm(V,NORM_1,&norm);
    161:   PetscPrintf(PETSC_COMM_WORLD,"Norm: %g\n",(double)norm);

    163:   BVDestroy(&U);
    164:   BVDestroy(&V);
    165:   MatDestroy(&Q);
    166:   MatDestroy(&M);
    167:   VecDestroy(&t);
    168:   SlepcFinalize();
    169:   return ierr;
    170: }

    172: /*TEST

    174:    test:
    175:       suffix: 1
    176:       nsize: 2
    177:       args: -bv_type {{vecs contiguous svec mat}shared output}
    178:       output_file: output/test16_1.out
    179:       filter: grep -v "doing matmult"

    181: TEST*/