amg4psblas/mlprec/mld_saggrmat_asb.f90

!!$
!!$
!!$                           MLD2P4  version 2.0
!!$  MultiLevel Domain Decomposition Parallel Preconditioners Package
!!$             based on PSBLAS (Parallel Sparse BLAS version 3.0)
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!!$
!!$                      Salvatore Filippone  University of Rome Tor Vergata
!!$                      Alfredo Buttari      CNRS-IRIT, Toulouse
!!$                      Pasqua D'Ambra       ICAR-CNR, Naples
!!$                      Daniela di Serafino  Second University of Naples
!!$ 
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! File: mld_saggrmat_asb.f90
!
! Subroutine: mld_saggrmat_asb
! Version:    real
!
!  This routine builds a coarse-level matrix A_C from a fine-level matrix A
!  by using the Galerkin approach, i.e.
!
!                               A_C = P_C^T A P_C,
!
!  where P_C is a prolongator from the coarse level to the fine one.
! 
!  A mapping from the nodes of the adjacency graph of A to the nodes of the
!  adjacency graph of A_C has been computed by the mld_aggrmap_bld subroutine.
!  The prolongator P_C is built here from this mapping, according to the
!  value of p%iprcparm(mld_aggr_kind_), specified by the user through
!  mld_sprecinit and mld_sprecset.
!
!  Currently three different prolongators are implemented, corresponding to
!  three aggregation algorithms:
!  1. non-smoothed aggregation,
!  2. smoothed aggregation,
!  3. "bizarre" aggregation.
!  1. The non-smoothed aggregation uses as prolongator the piecewise constant
!     interpolation operator corresponding to the fine-to-coarse level mapping built
!     by mld_aggrmap_bld. This is called tentative prolongator.
!  2. The smoothed aggregation uses as prolongator the operator obtained by applying
!     a damped Jacobi smoother to the tentative prolongator.
!  3. The "bizarre" aggregation uses a prolongator proposed by the authors of MLD2P4.
!     This prolongator still requires a deep analysis and testing and its use is
!     not recommended.
!
!  For more details see
!    M. Brezina and P. Vanek, A black-box iterative solver based on a two-level
!    Schwarz method, Computing,  63 (1999), 233-263.
!    P. D'Ambra, D. di Serafino and S. Filippone, On the development of PSBLAS-based
!    parallel two-level Schwarz preconditioners, Appl. Num. Math., 57 (2007),
!    1181-1196.
!
!
!
! Arguments:
!    a          -  type(psb_sspmat_type), input.     
!                  The sparse matrix structure containing the local part of
!                  the fine-level matrix.
!    desc_a     -  type(psb_desc_type), input.
!                  The communication descriptor of the fine-level matrix.
!    p          -  type(mld_sonelev_type), input/output.
!                  The 'one-level' data structure that will contain the local
!                  part of the matrix to be built as well as the information 
!                  concerning the prolongator and its transpose.
!    ilaggr     -  integer, dimension(:), allocatable.
!                  The mapping between the row indices of the coarse-level
!                  matrix and the row indices of the fine-level matrix.
!                  ilaggr(i)=j means that node i in the adjacency graph
!                  of the fine-level matrix is mapped onto node j in the
!                  adjacency graph of the coarse-level matrix.
!    nlaggr     -  integer, dimension(:), allocatable.
!                  nlaggr(i) contains the aggregates held by process i.
!    info       -  integer, output.
!                  Error code.
!
subroutine mld_saggrmat_asb(a,desc_a,ilaggr,nlaggr,p,info)

  use psb_sparse_mod
  use mld_s_inner_mod, mld_protect_name => mld_saggrmat_asb

  implicit none

! Arguments
  type(psb_sspmat_type), intent(in)               :: a
  type(psb_desc_type), intent(in)                 :: desc_a
  integer, intent(inout)                          :: ilaggr(:), nlaggr(:)
  type(mld_sonelev_type), intent(inout), target  :: p
  integer, intent(out)                            :: info

! Local variables
  integer           :: ictxt,np,me, err_act, icomm
  character(len=20) :: name

  name='mld_aggrmat_asb'
  if(psb_get_errstatus().ne.0) return 
  info=psb_success_
  call psb_erractionsave(err_act)

  ictxt = psb_cd_get_context(desc_a)
  icomm = psb_cd_get_mpic(desc_a)

  call psb_info(ictxt, me, np)

  select case (p%parms%aggr_kind)
  case (mld_no_smooth_) 

    call mld_aggrmat_nosmth_asb(a,desc_a,ilaggr,nlaggr,p,info)
    if(info /= psb_success_) then
      call psb_errpush(psb_err_from_subroutine_,name,a_err='mld_aggrmat_nosmth_asb')
      goto 9999
    end if

  case(mld_smooth_prol_,mld_biz_prol_) 

    call mld_aggrmat_smth_asb(a,desc_a,ilaggr,nlaggr,p,info)
    if(info /= psb_success_) then
      call psb_errpush(psb_err_from_subroutine_,name,a_err='mld_aggrmat_smth_asb')
      goto 9999
    end if

  case default

    call psb_errpush(psb_err_internal_error_,name,a_err='Invalid aggr kind')
    goto 9999

  end select

  call psb_erractionrestore(err_act)
  return

9999 continue
  call psb_erractionrestore(err_act)
  if (err_act.eq.psb_act_abort_) then
    call psb_error()
    return
  end if
  return

end subroutine mld_saggrmat_asb