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.
390 lines
12 KiB
Fortran
390 lines
12 KiB
Fortran
!!$
|
|
!!$
|
|
!!$ MLD2P4
|
|
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
|
!!$ based on PSBLAS (Parallel Sparse BLAS v.2.0)
|
|
!!$
|
|
!!$ (C) Copyright 2007 Alfredo Buttari University of Rome Tor Vergata
|
|
!!$ Pasqua D'Ambra ICAR-CNR, Naples
|
|
!!$ Daniela di Serafino Second University of Naples
|
|
!!$ Salvatore Filippone University of Rome Tor Vergata
|
|
!!$
|
|
!!$ 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_zaggrmap_bld.f90
|
|
!
|
|
! Subroutine: mld_zaggrmap_bld
|
|
! Version: complex
|
|
!
|
|
! This routine builds a mapping from the row indices of the fine-level matrix
|
|
! to the row indices of the coarse-level matrix, according to a decoupled
|
|
! aggregation algorithm. This mapping will be used by mld_aggrmat_asb to
|
|
! build the coarse-level matrix.
|
|
!
|
|
! The aggregation algorithm is a parallel version of that described in
|
|
! M. Brezina and P. Vanek, A black-box iterative solver based on a
|
|
! two-level Schwarz method, Computing, 63 (1999), 233-263.
|
|
! For more details see
|
|
! 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:
|
|
! aggr_type - integer, input.
|
|
! The scalar used to identify the aggregation algorithm.
|
|
! a - type(psb_zspmat_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.
|
|
! nlaggr - integer, dimension(:), allocatable.
|
|
! nlaggr(i) contains the aggregates held by process i.
|
|
! 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.
|
|
! info - integer, output.
|
|
! Error code.
|
|
!
|
|
subroutine mld_zaggrmap_bld(aggr_type,a,desc_a,nlaggr,ilaggr,info)
|
|
|
|
use psb_base_mod
|
|
use mld_inner_mod, mld_protect_name => mld_zaggrmap_bld
|
|
|
|
implicit none
|
|
|
|
! Arguments
|
|
integer, intent(in) :: aggr_type
|
|
type(psb_zspmat_type), intent(in), target :: a
|
|
type(psb_desc_type), intent(in) :: desc_a
|
|
integer, allocatable, intent(out) :: ilaggr(:),nlaggr(:)
|
|
integer, intent(out) :: info
|
|
|
|
! Local variables
|
|
integer, allocatable :: ils(:), neigh(:)
|
|
integer :: icnt,nlp,k,n,ia,isz,nr, naggr,i,j,m
|
|
type(psb_zspmat_type), target :: atmp, atrans
|
|
type(psb_zspmat_type), pointer :: apnt
|
|
|
|
logical :: recovery
|
|
integer :: debug_level, debug_unit
|
|
integer :: ictxt,np,me,err_act
|
|
integer :: nrow, ncol, n_ne
|
|
character(len=20) :: name, ch_err
|
|
|
|
if(psb_get_errstatus() /= 0) return
|
|
info=0
|
|
name = 'mld_aggrmap_bld'
|
|
call psb_erractionsave(err_act)
|
|
debug_unit = psb_get_debug_unit()
|
|
debug_level = psb_get_debug_level()
|
|
!
|
|
! Note. At the time being we are ignoring aggr_type so
|
|
! that we only have decoupled aggregation. This might
|
|
! change in the future.
|
|
!
|
|
ictxt=psb_cd_get_context(desc_a)
|
|
call psb_info(ictxt,me,np)
|
|
nrow = psb_cd_get_local_rows(desc_a)
|
|
ncol = psb_cd_get_local_cols(desc_a)
|
|
|
|
select case (aggr_type)
|
|
case (mld_dec_aggr_,mld_sym_dec_aggr_)
|
|
|
|
nr = a%m
|
|
allocate(ilaggr(nr),neigh(nr),stat=info)
|
|
if(info /= 0) then
|
|
info=4025
|
|
call psb_errpush(info,name,i_err=(/2*nr,0,0,0,0/),&
|
|
& a_err='integer')
|
|
goto 9999
|
|
end if
|
|
|
|
do i=1, nr
|
|
ilaggr(i) = -(nr+1)
|
|
end do
|
|
if (aggr_type == mld_dec_aggr_) then
|
|
apnt => a
|
|
else
|
|
call psb_sp_clip(a,atmp,info,imax=nr,jmax=nr,&
|
|
& rscale=.false.,cscale=.false.)
|
|
atmp%m=nr
|
|
atmp%k=nr
|
|
if (info == 0) call psb_transp(atmp,atrans,fmt='COO')
|
|
if (info == 0) call psb_rwextd(nr,atmp,info,b=atrans,rowscale=.false.)
|
|
atmp%m=nr
|
|
atmp%k=nr
|
|
if (info == 0) call psb_sp_free(atrans,info)
|
|
if (info == 0) call psb_ipcoo2csr(atmp,info)
|
|
apnt => atmp
|
|
if (info/=0) then
|
|
info=4001
|
|
call psb_errpush(info,name,a_err='init apnt')
|
|
goto 9999
|
|
end if
|
|
|
|
end if
|
|
|
|
|
|
! Note: -(nr+1) Untouched as yet
|
|
! -i 1<=i<=nr Adjacent to aggregate i
|
|
! i 1<=i<=nr Belonging to aggregate i
|
|
|
|
!
|
|
! Phase one: group nodes together.
|
|
! Very simple minded strategy.
|
|
!
|
|
naggr = 0
|
|
nlp = 0
|
|
do
|
|
icnt = 0
|
|
do i=1, nr
|
|
if (ilaggr(i) == -(nr+1)) then
|
|
!
|
|
! 1. Untouched nodes are marked >0 together
|
|
! with their neighbours
|
|
!
|
|
icnt = icnt + 1
|
|
naggr = naggr + 1
|
|
ilaggr(i) = naggr
|
|
|
|
call psb_neigh(apnt,i,neigh,n_ne,info,lev=1)
|
|
if (info/=0) then
|
|
info=4010
|
|
call psb_errpush(info,name,a_err='psb_neigh')
|
|
goto 9999
|
|
end if
|
|
do k=1, n_ne
|
|
j = neigh(k)
|
|
if ((1<=j).and.(j<=nr)) then
|
|
ilaggr(j) = naggr
|
|
endif
|
|
enddo
|
|
!
|
|
! 2. Untouched neighbours of these nodes are marked <0.
|
|
!
|
|
call psb_neigh(apnt,i,neigh,n_ne,info,lev=2)
|
|
if (info/=0) then
|
|
info=4010
|
|
call psb_errpush(info,name,a_err='psb_neigh')
|
|
goto 9999
|
|
end if
|
|
|
|
do n = 1, n_ne
|
|
m = neigh(n)
|
|
if ((1<=m).and.(m<=nr)) then
|
|
if (ilaggr(m) == -(nr+1)) ilaggr(m) = -naggr
|
|
endif
|
|
enddo
|
|
endif
|
|
enddo
|
|
nlp = nlp + 1
|
|
if (icnt == 0) exit
|
|
enddo
|
|
if (debug_level >= psb_debug_outer_) then
|
|
write(debug_unit,*) me,' ',trim(name),&
|
|
& ' Check 1:',count(ilaggr == -(nr+1)),&
|
|
& (a%ia1(i),i=a%ia2(1),a%ia2(2)-1)
|
|
end if
|
|
|
|
!
|
|
! Phase two: sweep over leftovers.
|
|
!
|
|
allocate(ils(naggr+10),stat=info)
|
|
if(info /= 0) then
|
|
info=4025
|
|
call psb_errpush(info,name,i_err=(/naggr+10,0,0,0,0/),&
|
|
& a_err='integer')
|
|
goto 9999
|
|
end if
|
|
|
|
do i=1, size(ils)
|
|
ils(i) = 0
|
|
end do
|
|
do i=1, nr
|
|
n = ilaggr(i)
|
|
if (n>0) then
|
|
if (n>naggr) then
|
|
info=4001
|
|
call psb_errpush(info,name,a_err='loc_Aggregate: n > naggr 1 ?')
|
|
goto 9999
|
|
else
|
|
ils(n) = ils(n) + 1
|
|
end if
|
|
|
|
end if
|
|
end do
|
|
if (debug_level >= psb_debug_outer_) then
|
|
write(debug_unit,*) me,' ',trim(name),&
|
|
& 'Phase 1: number of aggregates ',naggr
|
|
write(debug_unit,*) me,' ',trim(name),&
|
|
& 'Phase 1: nodes aggregated ',sum(ils)
|
|
end if
|
|
|
|
recovery=.false.
|
|
do i=1, nr
|
|
if (ilaggr(i) < 0) then
|
|
!
|
|
! Now some silly rule to break ties:
|
|
! Group with smallest adjacent aggregate.
|
|
!
|
|
isz = nr+1
|
|
ia = -1
|
|
|
|
call psb_neigh(apnt,i,neigh,n_ne,info,lev=1)
|
|
if (info/=0) then
|
|
info=4010
|
|
call psb_errpush(info,name,a_err='psb_neigh')
|
|
goto 9999
|
|
end if
|
|
|
|
do j=1, n_ne
|
|
k = neigh(j)
|
|
if ((1<=k).and.(k<=nr)) then
|
|
n = ilaggr(k)
|
|
if (n>0) then
|
|
if (n>naggr) then
|
|
info=4001
|
|
call psb_errpush(info,name,a_err='loc_Aggregate: n > naggr 2 ?')
|
|
goto 9999
|
|
end if
|
|
|
|
if (ils(n) < isz) then
|
|
ia = n
|
|
isz = ils(n)
|
|
endif
|
|
endif
|
|
endif
|
|
enddo
|
|
if (ia == -1) then
|
|
if (ilaggr(i) > -(nr+1)) then
|
|
ilaggr(i) = abs(ilaggr(i))
|
|
if (ilaggr(I)>naggr) then
|
|
info=4001
|
|
call psb_errpush(info,name,a_err='loc_Aggregate: n > naggr 3 ?')
|
|
goto 9999
|
|
end if
|
|
ils(ilaggr(i)) = ils(ilaggr(i)) + 1
|
|
!
|
|
! This might happen if the pattern is non symmetric.
|
|
! Need a better handling.
|
|
!
|
|
recovery = .true.
|
|
else
|
|
info=4001
|
|
call psb_errpush(info,name,a_err='Unrecoverable error !!')
|
|
goto 9999
|
|
endif
|
|
else
|
|
ilaggr(i) = ia
|
|
if (ia>naggr) then
|
|
info=4001
|
|
call psb_errpush(info,name,a_err='loc_Aggregate: n > naggr 4? ')
|
|
goto 9999
|
|
end if
|
|
ils(ia) = ils(ia) + 1
|
|
endif
|
|
end if
|
|
enddo
|
|
if (debug_level >= psb_debug_outer_) then
|
|
if (recovery) then
|
|
write(debug_unit,*) me,' ',trim(name),&
|
|
& 'Had to recover from strange situation in loc_aggregate.'
|
|
write(debug_unit,*) me,' ',trim(name),&
|
|
& 'Perhaps an unsymmetric pattern?'
|
|
endif
|
|
write(debug_unit,*) me,' ',trim(name),&
|
|
& 'Phase 2: number of aggregates ',naggr,sum(ils)
|
|
do i=1, naggr
|
|
write(debug_unit,*) me,' ',trim(name),&
|
|
& 'Size of aggregate ',i,' :',count(ilaggr==i), ils(i)
|
|
enddo
|
|
write(debug_unit,*) me,' ',trim(name),&
|
|
& maxval(ils(1:naggr))
|
|
write(debug_unit,*) me,' ',trim(name),&
|
|
& 'Leftovers ',count(ilaggr<0), ' in ',nlp,' loops'
|
|
end if
|
|
|
|
if (count(ilaggr<0) >0) then
|
|
info=4001
|
|
call psb_errpush(info,name,a_err='Fatal error: some leftovers')
|
|
goto 9999
|
|
endif
|
|
|
|
deallocate(ils,neigh,stat=info)
|
|
if (info/=0) then
|
|
info=4000
|
|
call psb_errpush(info,name)
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_realloc(ncol,ilaggr,info)
|
|
if (info/=0) then
|
|
info=4010
|
|
ch_err='psb_realloc'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
allocate(nlaggr(np),stat=info)
|
|
if (info/=0) then
|
|
info=4025
|
|
call psb_errpush(info,name,i_err=(/np,0,0,0,0/),&
|
|
& a_err='integer')
|
|
goto 9999
|
|
end if
|
|
|
|
nlaggr(:) = 0
|
|
nlaggr(me+1) = naggr
|
|
call psb_sum(ictxt,nlaggr(1:np))
|
|
|
|
if (aggr_type == mld_sym_dec_aggr_) then
|
|
call psb_sp_free(atmp,info)
|
|
end if
|
|
|
|
case default
|
|
|
|
info = -1
|
|
call psb_errpush(30,name,i_err=(/1,aggr_type,0,0,0/))
|
|
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_zaggrmap_bld
|