Date: 2021-02-01T14:41:48+00:00

Actual source code: test6.c
slepc-3.14.2 2021-02-01
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2020, 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 orthogonalization functions with constraints.\n\n";

     13: #include <slepcbv.h>

     15: int main(int argc,char **argv)
     16: {
     18:   BV             X;
     19:   Mat            M;
     20:   Vec            v,t,*C;
     21:   PetscInt       i,j,n=20,k=8,nc=2,nloc;
     22:   PetscViewer    view;
     23:   PetscBool      verbose;
     24:   PetscReal      norm;
     25:   PetscScalar    alpha;

     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,"-nc",&nc,NULL);
     31:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
     32:   PetscPrintf(PETSC_COMM_WORLD,"Test BV orthogonalization with %D columns + %D constraints, of length %D.\n",k,nc,n);

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

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

     46:   /* Generate constraints and attach them to X */
     47:   if (nc>0) {
     48:     VecDuplicateVecs(t,nc,&C);
     49:     for (j=0;j<nc;j++) {
     50:       for (i=0;i<=j;i++) {
     51:         VecSetValue(C[j],i,1.0,INSERT_VALUES);
     52:       }
     53:       VecAssemblyBegin(C[j]);
     54:       VecAssemblyEnd(C[j]);
     55:     }
     56:     BVInsertConstraints(X,&nc,C);
     57:     VecDestroyVecs(nc,&C);
     58:   }

     60:   /* Set up viewer */
     61:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
     62:   if (verbose) {
     63:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
     64:   }

     66:   /* Fill X entries */
     67:   for (j=0;j<k;j++) {
     68:     BVGetColumn(X,j,&v);
     69:     VecSet(v,0.0);
     70:     for (i=0;i<=n/2;i++) {
     71:       if (i+j<n) {
     72:         alpha = (3.0*i+j-2)/(2*(i+j+1));
     73:         VecSetValue(v,i+j,alpha,INSERT_VALUES);
     74:       }
     75:     }
     76:     VecAssemblyBegin(v);
     77:     VecAssemblyEnd(v);
     78:     BVRestoreColumn(X,j,&v);
     79:   }
     80:   if (verbose) {
     81:     BVView(X,view);
     82:   }

     84:   /* Test BVOrthogonalizeColumn */
     85:   for (j=0;j<k;j++) {
     86:     BVOrthogonalizeColumn(X,j,NULL,&norm,NULL);
     87:     alpha = 1.0/norm;
     88:     BVScaleColumn(X,j,alpha);
     89:   }
     90:   if (verbose) {
     91:     BVView(X,view);
     92:   }

     94:   /* Check orthogonality */
     95:   MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
     96:   BVDot(X,X,M);
     97:   MatShift(M,-1.0);
     98:   MatNorm(M,NORM_1,&norm);
     99:   if (norm<100*PETSC_MACHINE_EPSILON) {
    100:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
    101:   } else {
    102:     PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
    103:   }

    105:   MatDestroy(&M);
    106:   BVDestroy(&X);
    107:   VecDestroy(&t);
    108:   SlepcFinalize();
    109:   return ierr;
    110: }

    112: /*TEST

    114:    test:
    115:       suffix: 1
    116:       nsize: 1
    117:       args: -bv_type {{vecs contiguous svec mat}shared output}
    118:       output_file: output/test6_1.out

    120:    test:
    121:       suffix: 1_cuda
    122:       nsize: 1
    123:       args: -bv_type svec -vec_type cuda
    124:       requires: cuda
    125:       output_file: output/test6_1.out

    127:    test:
    128:       suffix: 2
    129:       nsize: 2
    130:       args: -bv_type {{vecs contiguous svec mat}shared output}
    131:       output_file: output/test6_1.out

    133:    test:
    134:       suffix: 3
    135:       nsize: 1
    136:       args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
    137:       output_file: output/test6_1.out

    139:    test:
    140:       suffix: 3_cuda
    141:       nsize: 1
    142:       args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
    143:       requires: cuda
    144:       output_file: output/test6_1.out

    146: TEST*/