xref: /petsc/src/dm/impls/redundant/dmredundant.c (revision 8cc058d9cd56c1ccb3be12a47760ddfc446aaffc)

#include <petsc-private/dmimpl.h>
#include <petscdmredundant.h>   /*I      "petscdmredundant.h" I*/

typedef struct  {
  PetscInt rank;                /* owner */
  PetscInt N;                   /* total number of dofs */
  PetscInt n;                   /* owned number of dofs, n=N on owner, n=0 on non-owners */
} DM_Redundant;

#undef __FUNCT__
#define __FUNCT__ "DMCreateMatrix_Redundant"
static PetscErrorCode DMCreateMatrix_Redundant(DM dm,MatType mtype,Mat *J)
{
  DM_Redundant           *red = (DM_Redundant*)dm->data;
  PetscErrorCode         ierr;
  ISLocalToGlobalMapping ltog,ltogb;
  PetscInt               i,rstart,rend,*cols;
  PetscScalar            *vals;

  PetscFunctionBegin;
  ierr = MatCreate(PetscObjectComm((PetscObject)dm),J);CHKERRQ(ierr);
  ierr = MatSetSizes(*J,red->n,red->n,red->N,red->N);CHKERRQ(ierr);
  ierr = MatSetType(*J,mtype);CHKERRQ(ierr);
  ierr = MatSeqAIJSetPreallocation(*J,red->n,NULL);CHKERRQ(ierr);
  ierr = MatSeqBAIJSetPreallocation(*J,1,red->n,NULL);CHKERRQ(ierr);
  ierr = MatMPIAIJSetPreallocation(*J,red->n,NULL,red->N-red->n,NULL);CHKERRQ(ierr);
  ierr = MatMPIBAIJSetPreallocation(*J,1,red->n,NULL,red->N-red->n,NULL);CHKERRQ(ierr);

  ierr = DMGetLocalToGlobalMapping(dm,&ltog);CHKERRQ(ierr);
  ierr = DMGetLocalToGlobalMappingBlock(dm,&ltogb);CHKERRQ(ierr);
  ierr = MatSetLocalToGlobalMapping(*J,ltog,ltog);CHKERRQ(ierr);
  ierr = MatSetLocalToGlobalMappingBlock(*J,ltogb,ltogb);CHKERRQ(ierr);

  ierr = PetscMalloc2(red->N,PetscInt,&cols,red->N,PetscScalar,&vals);CHKERRQ(ierr);
  for (i=0; i<red->N; i++) {
    cols[i] = i;
    vals[i] = 0.0;
  }
  ierr = MatGetOwnershipRange(*J,&rstart,&rend);CHKERRQ(ierr);
  for (i=rstart; i<rend; i++) {
    ierr = MatSetValues(*J,1,&i,red->N,cols,vals,INSERT_VALUES);CHKERRQ(ierr);
  }
  ierr = PetscFree2(cols,vals);CHKERRQ(ierr);
  ierr = MatAssemblyBegin(*J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
  ierr = MatAssemblyEnd(*J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMDestroy_Redundant"
static PetscErrorCode DMDestroy_Redundant(DM dm)
{
  PetscErrorCode ierr;

  PetscFunctionBegin;
  ierr = PetscObjectComposeFunction((PetscObject)dm,"DMRedundantSetSize_C","",NULL);CHKERRQ(ierr);
  ierr = PetscObjectComposeFunction((PetscObject)dm,"DMRedundantGetSize_C","",NULL);CHKERRQ(ierr);
  /* This was originally freed in DMDestroy(), but that prevents reference counting of backend objects */
  ierr = PetscFree(dm->data);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMCreateGlobalVector_Redundant"
static PetscErrorCode DMCreateGlobalVector_Redundant(DM dm,Vec *gvec)
{
  PetscErrorCode         ierr;
  DM_Redundant           *red = (DM_Redundant*)dm->data;
  ISLocalToGlobalMapping ltog,ltogb;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm,DM_CLASSID,1);
  PetscValidPointer(gvec,2);
  *gvec = 0;
  ierr  = VecCreate(PetscObjectComm((PetscObject)dm),gvec);CHKERRQ(ierr);
  ierr  = VecSetSizes(*gvec,red->n,red->N);CHKERRQ(ierr);
  ierr  = VecSetType(*gvec,dm->vectype);CHKERRQ(ierr);
  ierr  = DMGetLocalToGlobalMapping(dm,&ltog);CHKERRQ(ierr);
  ierr  = DMGetLocalToGlobalMappingBlock(dm,&ltogb);CHKERRQ(ierr);
  ierr  = VecSetLocalToGlobalMapping(*gvec,ltog);CHKERRQ(ierr);
  ierr  = VecSetLocalToGlobalMappingBlock(*gvec,ltog);CHKERRQ(ierr);
  ierr  = VecSetDM(*gvec,dm);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMCreateLocalVector_Redundant"
static PetscErrorCode DMCreateLocalVector_Redundant(DM dm,Vec *lvec)
{
  PetscErrorCode ierr;
  DM_Redundant   *red = (DM_Redundant*)dm->data;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm,DM_CLASSID,1);
  PetscValidPointer(lvec,2);
  *lvec = 0;
  ierr  = VecCreate(PETSC_COMM_SELF,lvec);CHKERRQ(ierr);
  ierr  = VecSetSizes(*lvec,red->N,red->N);CHKERRQ(ierr);
  ierr  = VecSetType(*lvec,dm->vectype);CHKERRQ(ierr);
  ierr  = VecSetDM(*lvec,dm);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMLocalToGlobalBegin_Redundant"
static PetscErrorCode DMLocalToGlobalBegin_Redundant(DM dm,Vec l,InsertMode imode,Vec g)
{
  PetscErrorCode    ierr;
  DM_Redundant      *red = (DM_Redundant*)dm->data;
  const PetscScalar *lv;
  PetscScalar       *gv;
  PetscMPIInt       rank;

  PetscFunctionBegin;
  ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm),&rank);CHKERRQ(ierr);
  ierr = VecGetArrayRead(l,&lv);CHKERRQ(ierr);
  ierr = VecGetArray(g,&gv);CHKERRQ(ierr);
  switch (imode) {
  case ADD_VALUES:
  case MAX_VALUES:
  {
    void        *source;
    PetscScalar *buffer;
    PetscInt    i;
    if (rank == red->rank) {
#if defined(PETSC_HAVE_MPI_IN_PLACE)
      buffer = gv;
      source = MPI_IN_PLACE;
#else
      ierr   = PetscMalloc(red->N*sizeof(PetscScalar),&buffer);CHKERRQ(ierr);
      source = buffer;
#endif
      if (imode == ADD_VALUES) for (i=0; i<red->N; i++) buffer[i] = gv[i] + lv[i];
#if !defined(PETSC_USE_COMPLEX)
      if (imode == MAX_VALUES) for (i=0; i<red->N; i++) buffer[i] = PetscMax(gv[i],lv[i]);
#endif
    } else source = (void*)lv;
    ierr = MPI_Reduce(source,gv,red->N,MPIU_SCALAR,(imode == ADD_VALUES) ? MPI_SUM : MPI_MAX,red->rank,PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
#if !defined(PETSC_HAVE_MPI_IN_PLACE)
    if (rank == red->rank) {ierr = PetscFree(buffer);CHKERRQ(ierr);}
#endif
  } break;
  case INSERT_VALUES:
    ierr = PetscMemcpy(gv,lv,red->n*sizeof(PetscScalar));CHKERRQ(ierr);
    break;
  default: SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"InsertMode not supported");
  }
  ierr = VecRestoreArrayRead(l,&lv);CHKERRQ(ierr);
  ierr = VecRestoreArray(g,&gv);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMLocalToGlobalEnd_Redundant"
static PetscErrorCode DMLocalToGlobalEnd_Redundant(DM dm,Vec l,InsertMode imode,Vec g)
{
  PetscFunctionBegin;
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMGlobalToLocalBegin_Redundant"
static PetscErrorCode DMGlobalToLocalBegin_Redundant(DM dm,Vec g,InsertMode imode,Vec l)
{
  PetscErrorCode    ierr;
  DM_Redundant      *red = (DM_Redundant*)dm->data;
  const PetscScalar *gv;
  PetscScalar       *lv;

  PetscFunctionBegin;
  ierr = VecGetArrayRead(g,&gv);CHKERRQ(ierr);
  ierr = VecGetArray(l,&lv);CHKERRQ(ierr);
  switch (imode) {
  case INSERT_VALUES:
    if (red->n) {ierr = PetscMemcpy(lv,gv,red->n*sizeof(PetscScalar));CHKERRQ(ierr);}
    ierr = MPI_Bcast(lv,red->N,MPIU_SCALAR,red->rank,PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
    break;
  default: SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"InsertMode not supported");
  }
  ierr = VecRestoreArrayRead(g,&gv);CHKERRQ(ierr);
  ierr = VecRestoreArray(l,&lv);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMGlobalToLocalEnd_Redundant"
static PetscErrorCode DMGlobalToLocalEnd_Redundant(DM dm,Vec g,InsertMode imode,Vec l)
{
  PetscFunctionBegin;
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMSetUp_Redundant"
static PetscErrorCode DMSetUp_Redundant(DM dm)
{
  PetscErrorCode ierr;
  DM_Redundant   *red = (DM_Redundant*)dm->data;
  PetscInt       i,*globals;

  PetscFunctionBegin;
  ierr = PetscMalloc(red->N*sizeof(PetscInt),&globals);CHKERRQ(ierr);
  for (i=0; i<red->N; i++) globals[i] = i;
  ierr         = ISLocalToGlobalMappingCreate(PETSC_COMM_SELF,red->N,globals,PETSC_OWN_POINTER,&dm->ltogmap);CHKERRQ(ierr);
  ierr         = PetscObjectReference((PetscObject)dm->ltogmap);CHKERRQ(ierr);
  dm->ltogmapb = dm->ltogmap;
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMView_Redundant"
static PetscErrorCode DMView_Redundant(DM dm,PetscViewer viewer)
{
  PetscErrorCode ierr;
  DM_Redundant   *red = (DM_Redundant*)dm->data;
  PetscBool      iascii;

  PetscFunctionBegin;
  ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
  if (iascii) {
    ierr = PetscViewerASCIIPrintf(viewer,"redundant: rank=%D N=%D\n",red->rank,red->N);CHKERRQ(ierr);
  }
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMCreateColoring_Redundant"
static PetscErrorCode DMCreateColoring_Redundant(DM dm,ISColoringType ctype,MatType mtype,ISColoring *coloring)
{
  DM_Redundant    *red = (DM_Redundant*)dm->data;
  PetscErrorCode  ierr;
  PetscInt        i,nloc;
  ISColoringValue *colors;

  PetscFunctionBegin;
  switch (ctype) {
  case IS_COLORING_GLOBAL:
    nloc = red->n;
    break;
  case IS_COLORING_GHOSTED:
    nloc = red->N;
    break;
  default: SETERRQ1(PetscObjectComm((PetscObject)dm),PETSC_ERR_ARG_WRONG,"Unknown ISColoringType %d",(int)ctype);
  }
  ierr = PetscMalloc(nloc*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
  for (i=0; i<nloc; i++) colors[i] = i;
  ierr = ISColoringCreate(PetscObjectComm((PetscObject)dm),red->N,nloc,colors,coloring);CHKERRQ(ierr);
  ierr = ISColoringSetType(*coloring,ctype);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMRefine_Redundant"
static PetscErrorCode DMRefine_Redundant(DM dmc,MPI_Comm comm,DM *dmf)
{
  PetscErrorCode ierr;
  PetscMPIInt    flag;
  DM_Redundant   *redc = (DM_Redundant*)dmc->data;

  PetscFunctionBegin;
  if (comm == MPI_COMM_NULL) {
    ierr = PetscObjectGetComm((PetscObject)dmc,&comm);CHKERRQ(ierr);
  }
  ierr = MPI_Comm_compare(PetscObjectComm((PetscObject)dmc),comm,&flag);CHKERRQ(ierr);
  if (flag != MPI_CONGRUENT && flag != MPI_IDENT) SETERRQ(PetscObjectComm((PetscObject)dmc),PETSC_ERR_SUP,"cannot change communicators");
  ierr = DMRedundantCreate(comm,redc->rank,redc->N,dmf);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMCoarsen_Redundant"
static PetscErrorCode DMCoarsen_Redundant(DM dmf,MPI_Comm comm,DM *dmc)
{
  PetscErrorCode ierr;
  PetscMPIInt    flag;
  DM_Redundant   *redf = (DM_Redundant*)dmf->data;

  PetscFunctionBegin;
  if (comm == MPI_COMM_NULL) {
    ierr = PetscObjectGetComm((PetscObject)dmf,&comm);CHKERRQ(ierr);
  }
  ierr = MPI_Comm_compare(PetscObjectComm((PetscObject)dmf),comm,&flag);CHKERRQ(ierr);
  if (flag != MPI_CONGRUENT && flag != MPI_IDENT) SETERRQ(PetscObjectComm((PetscObject)dmf),PETSC_ERR_SUP,"cannot change communicators");
  ierr = DMRedundantCreate(comm,redf->rank,redf->N,dmc);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMCreateInterpolation_Redundant"
static PetscErrorCode DMCreateInterpolation_Redundant(DM dmc,DM dmf,Mat *P,Vec *scale)
{
  PetscErrorCode ierr;
  DM_Redundant   *redc = (DM_Redundant*)dmc->data;
  DM_Redundant   *redf = (DM_Redundant*)dmf->data;
  PetscMPIInt    flag;
  PetscInt       i,rstart,rend;

  PetscFunctionBegin;
  ierr = MPI_Comm_compare(PetscObjectComm((PetscObject)dmc),PetscObjectComm((PetscObject)dmf),&flag);CHKERRQ(ierr);
  if (flag != MPI_CONGRUENT && flag != MPI_IDENT) SETERRQ(PetscObjectComm((PetscObject)dmf),PETSC_ERR_SUP,"cannot change communicators");
  if (redc->rank != redf->rank) SETERRQ(PetscObjectComm((PetscObject)dmf),PETSC_ERR_ARG_INCOMP,"Owning rank does not match");
  if (redc->N != redf->N) SETERRQ(PetscObjectComm((PetscObject)dmf),PETSC_ERR_ARG_INCOMP,"Global size does not match");
  ierr = MatCreate(PetscObjectComm((PetscObject)dmc),P);CHKERRQ(ierr);
  ierr = MatSetSizes(*P,redc->n,redc->n,redc->N,redc->N);CHKERRQ(ierr);
  ierr = MatSetType(*P,MATAIJ);CHKERRQ(ierr);
  ierr = MatSeqAIJSetPreallocation(*P,1,0);CHKERRQ(ierr);
  ierr = MatMPIAIJSetPreallocation(*P,1,0,0,0);CHKERRQ(ierr);
  ierr = MatGetOwnershipRange(*P,&rstart,&rend);CHKERRQ(ierr);
  for (i=rstart; i<rend; i++) {ierr = MatSetValue(*P,i,i,1.0,INSERT_VALUES);CHKERRQ(ierr);}
  ierr = MatAssemblyBegin(*P,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
  ierr = MatAssemblyEnd(*P,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
  if (scale) {ierr = DMCreateInterpolationScale(dmc,dmf,*P,scale);CHKERRQ(ierr);}
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMRedundantSetSize"
/*@
    DMRedundantSetSize - Sets the size of a densely coupled redundant object

    Collective on DM

    Input Parameter:
+   dm - redundant DM
.   rank - rank of process to own redundant degrees of freedom
-   N - total number of redundant degrees of freedom

    Level: advanced

.seealso DMDestroy(), DMCreateGlobalVector(), DMRedundantCreate(), DMRedundantGetSize()
@*/
PetscErrorCode DMRedundantSetSize(DM dm,PetscInt rank,PetscInt N)
{
  PetscErrorCode ierr;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm,DM_CLASSID,1);
  PetscValidType(dm,1);
  PetscValidLogicalCollectiveInt(dm,rank,2);
  PetscValidLogicalCollectiveInt(dm,N,3);
  ierr = PetscTryMethod(dm,"DMRedundantSetSize_C",(DM,PetscInt,PetscInt),(dm,rank,N));CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMRedundantGetSize"
/*@
    DMRedundantGetSize - Gets the size of a densely coupled redundant object

    Not Collective

    Input Parameter:
+   dm - redundant DM

    Output Parameters:
+   rank - rank of process to own redundant degrees of freedom (or NULL)
-   N - total number of redundant degrees of freedom (or NULL)

    Level: advanced

.seealso DMDestroy(), DMCreateGlobalVector(), DMRedundantCreate(), DMRedundantSetSize()
@*/
PetscErrorCode DMRedundantGetSize(DM dm,PetscInt *rank,PetscInt *N)
{
  PetscErrorCode ierr;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(dm,DM_CLASSID,1);
  PetscValidType(dm,1);
  ierr = PetscUseMethod(dm,"DMRedundantGetSize_C",(DM,PetscInt*,PetscInt*),(dm,rank,N));CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMRedundantSetSize_Redundant"
static PetscErrorCode DMRedundantSetSize_Redundant(DM dm,PetscInt rank,PetscInt N)
{
  DM_Redundant   *red = (DM_Redundant*)dm->data;
  PetscErrorCode ierr;
  PetscMPIInt    myrank;

  PetscFunctionBegin;
  ierr      = MPI_Comm_rank(PetscObjectComm((PetscObject)dm),&myrank);CHKERRQ(ierr);
  red->rank = rank;
  red->N    = N;
  red->n    = (myrank == rank) ? N : 0;
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMRedundantGetSize_Redundant"
static PetscErrorCode DMRedundantGetSize_Redundant(DM dm,PetscInt *rank,PetscInt *N)
{
  DM_Redundant *red = (DM_Redundant*)dm->data;

  PetscFunctionBegin;
  if (rank) *rank = red->rank;
  if (N)    *N = red->N;
  PetscFunctionReturn(0);
}

/*MC
   DMREDUNDANT = "redundant" - A DM object that is used to manage data for a small set of dense globally coupled variables.
         In the global representation of the vector the variables are all stored on a single MPI process (all the other MPI processes have
         no variables) in the local representation all the variables are stored on ALL the MPI processes (because they are all needed for each
         processes local computations).

         This DM is generally used inside a DMCOMPOSITE object. For example, it may be used to store continuation parameters for a bifurcation problem.


  Level: intermediate

.seealso: DMType, DMCOMPOSITE, DMCreateRedundant(), DMCreate(), DMRedundantSetSize(), DMRedundantGetSize()
M*/

#undef __FUNCT__
#define __FUNCT__ "DMCreate_Redundant"
PETSC_EXTERN PetscErrorCode DMCreate_Redundant(DM dm)
{
  PetscErrorCode ierr;
  DM_Redundant   *red;

  PetscFunctionBegin;
  ierr     = PetscNewLog(dm,DM_Redundant,&red);CHKERRQ(ierr);
  dm->data = red;

  ierr = PetscObjectChangeTypeName((PetscObject)dm,DMREDUNDANT);CHKERRQ(ierr);

  dm->ops->setup              = DMSetUp_Redundant;
  dm->ops->view               = DMView_Redundant;
  dm->ops->createglobalvector = DMCreateGlobalVector_Redundant;
  dm->ops->createlocalvector  = DMCreateLocalVector_Redundant;
  dm->ops->creatematrix       = DMCreateMatrix_Redundant;
  dm->ops->destroy            = DMDestroy_Redundant;
  dm->ops->globaltolocalbegin = DMGlobalToLocalBegin_Redundant;
  dm->ops->globaltolocalend   = DMGlobalToLocalEnd_Redundant;
  dm->ops->localtoglobalbegin = DMLocalToGlobalBegin_Redundant;
  dm->ops->localtoglobalend   = DMLocalToGlobalEnd_Redundant;
  dm->ops->refine             = DMRefine_Redundant;
  dm->ops->coarsen            = DMCoarsen_Redundant;
  dm->ops->createinterpolation= DMCreateInterpolation_Redundant;
  dm->ops->getcoloring        = DMCreateColoring_Redundant;

  ierr = PetscStrallocpy(VECSTANDARD,(char**)&dm->vectype);CHKERRQ(ierr);
  ierr = PetscObjectComposeFunction((PetscObject)dm,"DMRedundantSetSize_C","DMRedundantSetSize_Redundant",DMRedundantSetSize_Redundant);CHKERRQ(ierr);
  ierr = PetscObjectComposeFunction((PetscObject)dm,"DMRedundantGetSize_C","DMRedundantGetSize_Redundant",DMRedundantGetSize_Redundant);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}

#undef __FUNCT__
#define __FUNCT__ "DMRedundantCreate"
/*@C
    DMRedundantCreate - Creates a DM object, used to manage data for dense globally coupled variables

    Collective on MPI_Comm

    Input Parameter:
+   comm - the processors that will share the global vector
.   rank - rank to own the redundant values
-   N - total number of degrees of freedom

    Output Parameters:
.   red - the redundant DM

    Level: advanced

.seealso DMDestroy(), DMCreateGlobalVector(), DMCreateMatrix(), DMCompositeAddDM(), DMREDUNDANT, DMSetType(), DMRedundantSetSize(), DMRedundantGetSize()

@*/
PetscErrorCode DMRedundantCreate(MPI_Comm comm,PetscInt rank,PetscInt N,DM *dm)
{
  PetscErrorCode ierr;

  PetscFunctionBegin;
  PetscValidPointer(dm,2);
  ierr = DMCreate(comm,dm);CHKERRQ(ierr);
  ierr = DMSetType(*dm,DMREDUNDANT);CHKERRQ(ierr);
  ierr = DMRedundantSetSize(*dm,rank,N);CHKERRQ(ierr);
  ierr = DMSetUp(*dm);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}