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amg4psblas/mlprec/impl/mld_zaggrmat_asb.f90

281 lines
10 KiB
Fortran

!!$
!!$
!!$ MLD2P4 version 2.0
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
!!$ based on PSBLAS (Parallel Sparse BLAS version 3.3)
!!$
!!$ (C) Copyright 2008, 2010, 2012, 2015
!!$
!!$ 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
!!$
!!$ Redistribution and use in source and binary forms, with or without
!!$ modification, are permitted provided that the following conditions
!!$ are met:
!!$ 1. Redistributions of source code must retain the above copyright
!!$ notice, this list of conditions and the following disclaimer.
!!$ 2. Redistributions in binary form must reproduce the above copyright
!!$ notice, this list of conditions, and the following disclaimer in the
!!$ documentation and/or other materials provided with the distribution.
!!$ 3. The name of the MLD2P4 group or the names of its contributors may
!!$ not be used to endorse or promote products derived from this
!!$ software without specific written permission.
!!$
!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
!!$ POSSIBILITY OF SUCH DAMAGE.
!!$
!!$
! File: mld_zaggrmat_asb.f90
!
! Subroutine: mld_zaggrmat_asb
! Version: complex
!
! 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_zprecinit and mld_zprecset.
!
! 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_cspmat_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_z_onelev_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_zaggrmat_asb(a,desc_a,ilaggr,nlaggr,p,info)
use psb_base_mod
use mld_z_inner_mod, mld_protect_name => mld_zaggrmat_asb
implicit none
! Arguments
type(psb_zspmat_type), intent(in) :: a
type(psb_desc_type), intent(in) :: desc_a
integer(psb_ipk_), intent(inout) :: ilaggr(:), nlaggr(:)
type(mld_z_onelev_type), intent(inout), target :: p
integer(psb_ipk_), intent(out) :: info
! Local variables
type(psb_zspmat_type) :: ac, op_prol,op_restr
type(psb_z_coo_sparse_mat) :: acoo, bcoo
type(psb_z_csr_sparse_mat) :: acsr1
integer(psb_ipk_) :: nzl,ntaggr, err_act
integer(psb_ipk_) :: debug_level, debug_unit
integer(psb_ipk_) :: ictxt,np,me
character(len=20) :: name
name='mld_aggrmat_asb'
if(psb_get_errstatus().ne.0) return
info=psb_success_
call psb_erractionsave(err_act)
debug_unit = psb_get_debug_unit()
debug_level = psb_get_debug_level()
ictxt = desc_a%get_context()
call psb_info(ictxt, me, np)
select case (p%parms%aggr_kind)
case (mld_no_smooth_)
call mld_zaggrmat_nosmth_asb(a,desc_a,ilaggr,nlaggr,&
& p%parms,ac,op_prol,op_restr,info)
case(mld_smooth_prol_)
call mld_zaggrmat_smth_asb(a,desc_a,ilaggr,nlaggr, &
& p%parms,ac,op_prol,op_restr,info)
case(mld_biz_prol_)
call mld_zaggrmat_biz_asb(a,desc_a,ilaggr,nlaggr, &
& p%parms,ac,op_prol,op_restr,info)
case(mld_min_energy_)
call mld_zaggrmat_minnrg_asb(a,desc_a,ilaggr,nlaggr, &
& p%parms,ac,op_prol,op_restr,info)
case default
info = psb_err_internal_error_
call psb_errpush(info,name,a_err='Invalid aggr kind')
goto 9999
end select
if (info /= psb_success_) then
call psb_errpush(psb_err_from_subroutine_,name,a_err='Inner aggrmat asb')
goto 9999
end if
ntaggr = sum(nlaggr)
select case(p%parms%coarse_mat)
case(mld_distr_mat_)
nzl = ac%get_nzeros()
call ac%mv_to(bcoo)
if (info == psb_success_) call psb_cdall(ictxt,p%desc_ac,info,nl=nlaggr(me+1))
if (info == psb_success_) call psb_cdins(nzl,bcoo%ia,bcoo%ja,p%desc_ac,info)
if (info == psb_success_) call psb_cdasb(p%desc_ac,info)
if (info == psb_success_) call psb_glob_to_loc(bcoo%ia(1:nzl),p%desc_ac,info,iact='I')
if (info == psb_success_) call psb_glob_to_loc(bcoo%ja(1:nzl),p%desc_ac,info,iact='I')
if (info /= psb_success_) then
call psb_errpush(psb_err_internal_error_,name,&
& a_err='Creating p%desc_ac and converting ac')
goto 9999
end if
if (debug_level >= psb_debug_outer_) &
& write(debug_unit,*) me,' ',trim(name),&
& 'Assembld aux descr. distr.'
call p%ac%mv_from(bcoo)
call p%ac%set_nrows(p%desc_ac%get_local_rows())
call p%ac%set_ncols(p%desc_ac%get_local_cols())
call p%ac%set_asb()
if (info /= psb_success_) then
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_sp_free')
goto 9999
end if
if (np>1) then
call op_prol%mv_to(acsr1)
nzl = acsr1%get_nzeros()
call psb_glob_to_loc(acsr1%ja(1:nzl),p%desc_ac,info,'I')
if(info /= psb_success_) then
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_glob_to_loc')
goto 9999
end if
call op_prol%mv_from(acsr1)
endif
call op_prol%set_ncols(p%desc_ac%get_local_cols())
if (np>1) then
call op_restr%cscnv(info,type='coo',dupl=psb_dupl_add_)
call op_restr%mv_to(acoo)
nzl = acoo%get_nzeros()
if (info == psb_success_) call psb_glob_to_loc(acoo%ia(1:nzl),p%desc_ac,info,'I')
call acoo%set_dupl(psb_dupl_add_)
if (info == psb_success_) call op_restr%mv_from(acoo)
if (info == psb_success_) call op_restr%cscnv(info,type='csr')
if(info /= psb_success_) then
call psb_errpush(psb_err_internal_error_,name,&
& a_err='Converting op_restr to local')
goto 9999
end if
end if
call op_restr%set_nrows(p%desc_ac%get_local_cols())
if (debug_level >= psb_debug_outer_) &
& write(debug_unit,*) me,' ',trim(name),&
& 'Done ac '
case(mld_repl_mat_)
!
!
call psb_cdall(ictxt,p%desc_ac,info,mg=ntaggr,repl=.true.)
if (info == psb_success_) call psb_cdasb(p%desc_ac,info)
if (info == psb_success_) &
& call psb_gather(p%ac,ac,p%desc_ac,info,dupl=psb_dupl_add_,keeploc=.false.)
if (info /= psb_success_) goto 9999
case default
info = psb_err_internal_error_
call psb_errpush(info,name,a_err='invalid mld_coarse_mat_')
goto 9999
end select
call p%ac%cscnv(info,type='csr',dupl=psb_dupl_add_)
if(info /= psb_success_) then
call psb_errpush(psb_err_from_subroutine_,name,a_err='spcnv')
goto 9999
end if
!
! Copy the prolongation/restriction matrices into the descriptor map.
! op_restr => PR^T i.e. restriction operator
! op_prol => PR i.e. prolongation operator
!
p%map = psb_linmap(psb_map_aggr_,desc_a,&
& p%desc_ac,op_restr,op_prol,ilaggr,nlaggr)
if (info == psb_success_) call op_prol%free()
if (info == psb_success_) call op_restr%free()
if(info /= psb_success_) then
call psb_errpush(psb_err_from_subroutine_,name,a_err='sp_Free')
goto 9999
end if
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(err_act)
return
end subroutine mld_zaggrmat_asb