You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
283 lines
10 KiB
Fortran
283 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_caggrmat_asb.f90
|
|
!
|
|
! Subroutine: mld_caggrmat_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_cprecinit 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_c_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_caggrmat_asb(a,desc_a,ilaggr,nlaggr,p,info)
|
|
|
|
use psb_base_mod
|
|
use mld_c_inner_mod, mld_protect_name => mld_caggrmat_asb
|
|
|
|
implicit none
|
|
|
|
! Arguments
|
|
type(psb_cspmat_type), intent(in) :: a
|
|
type(psb_desc_type), intent(in) :: desc_a
|
|
integer(psb_ipk_), intent(inout) :: ilaggr(:), nlaggr(:)
|
|
type(mld_c_onelev_type), intent(inout), target :: p
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
! Local variables
|
|
type(psb_cspmat_type) :: ac, op_prol,op_restr
|
|
type(psb_c_coo_sparse_mat) :: acoo, bcoo
|
|
type(psb_c_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_caggrmat_nosmth_asb(a,desc_a,ilaggr,nlaggr,&
|
|
& p%parms,ac,op_prol,op_restr,info)
|
|
|
|
case(mld_smooth_prol_)
|
|
|
|
call mld_caggrmat_smth_asb(a,desc_a,ilaggr,nlaggr, &
|
|
& p%parms,ac,op_prol,op_restr,info)
|
|
|
|
case(mld_biz_prol_)
|
|
|
|
call mld_caggrmat_biz_asb(a,desc_a,ilaggr,nlaggr, &
|
|
& p%parms,ac,op_prol,op_restr,info)
|
|
|
|
case(mld_min_energy_)
|
|
|
|
call mld_caggrmat_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_)
|
|
|
|
call ac%mv_to(bcoo)
|
|
if (p%parms%clean_zeros) call bcoo%clean_zeros(info)
|
|
nzl = bcoo%get_nzeros()
|
|
|
|
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_).and.p%parms%clean_zeros) call ac%clean_zeros(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_caggrmat_asb
|