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!!$
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!!$
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!!$ MLD2P4 version 2.0
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!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
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!!$ based on PSBLAS (Parallel Sparse BLAS version 3.0)
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!!$
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!!$ (C) Copyright 2008,2009,2010,2012,2013
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!!$
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!!$ Salvatore Filippone University of Rome Tor Vergata
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!!$ Alfredo Buttari CNRS-IRIT, Toulouse
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!!$ Pasqua D'Ambra ICAR-CNR, Naples
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!!$ Daniela di Serafino Second University of Naples
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!!$
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!!$ Redistribution and use in source and binary forms, with or without
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!!$ modification, are permitted provided that the following conditions
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!!$ are met:
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!!$ 1. Redistributions of source code must retain the above copyright
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!!$ notice, this list of conditions and the following disclaimer.
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!!$ 2. Redistributions in binary form must reproduce the above copyright
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!!$ notice, this list of conditions, and the following disclaimer in the
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!!$ documentation and/or other materials provided with the distribution.
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!!$ 3. The name of the MLD2P4 group or the names of its contributors may
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!!$ not be used to endorse or promote products derived from this
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!!$ software without specific written permission.
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!!$
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!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
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!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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!!$ POSSIBILITY OF SUCH DAMAGE.
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!!$
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!!$
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subroutine mld_c_dec_map_bld(theta,a,desc_a,nlaggr,ilaggr,info)
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use psb_base_mod
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use mld_c_inner_mod, mld_protect_name => mld_c_dec_map_bld
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implicit none
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! Arguments
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type(psb_cspmat_type), intent(in) :: a
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type(psb_desc_type), intent(in) :: desc_a
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real(psb_spk_), intent(in) :: theta
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integer(psb_ipk_), allocatable, intent(out) :: ilaggr(:),nlaggr(:)
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integer(psb_ipk_), intent(out) :: info
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! Local variables
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integer(psb_ipk_), allocatable :: ils(:), neigh(:), irow(:), icol(:)
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complex(psb_spk_), allocatable :: val(:), diag(:)
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integer(psb_ipk_) :: icnt,nlp,k,n,ia,isz,nr, naggr,i,j,m, nz
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real(psb_spk_) :: cpling, tcl
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logical :: recovery
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integer(psb_ipk_) :: debug_level, debug_unit,err_act
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integer(psb_ipk_) :: ictxt,np,me
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integer(psb_ipk_) :: nrow, ncol, n_ne
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character(len=20) :: name, ch_err
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if (psb_get_errstatus() /= 0) return
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info=psb_success_
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name = 'mld_dec_map_bld'
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call psb_erractionsave(err_act)
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debug_unit = psb_get_debug_unit()
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debug_level = psb_get_debug_level()
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!
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ictxt=desc_a%get_context()
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call psb_info(ictxt,me,np)
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nrow = desc_a%get_local_rows()
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ncol = desc_a%get_local_cols()
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nr = a%get_nrows()
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allocate(ilaggr(nr),neigh(nr),stat=info)
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if(info /= psb_success_) then
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info=psb_err_alloc_request_
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call psb_errpush(info,name,i_err=(/2*nr,izero,izero,izero,izero/),&
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& a_err='integer')
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goto 9999
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end if
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diag = a%get_diag(info)
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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call psb_errpush(info,name,a_err='psb_sp_getdiag')
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goto 9999
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end if
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do i=1, nr
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ilaggr(i) = -(nr+1)
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end do
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! Note: -(nr+1) Untouched as yet
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! -i 1<=i<=nr Adjacent to aggregate i
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! i 1<=i<=nr Belonging to aggregate i
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!
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! Phase one: group nodes together.
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! Very simple minded strategy.
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!
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naggr = 0
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nlp = 0
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do
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icnt = 0
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do i=1, nr
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if (ilaggr(i) == -(nr+1)) then
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!
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! 1. Untouched nodes are marked >0 together
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! with their neighbours
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!
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icnt = icnt + 1
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naggr = naggr + 1
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ilaggr(i) = naggr
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call a%csget(i,i,nz,irow,icol,val,info)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_
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call psb_errpush(info,name,a_err='csget')
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goto 9999
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end if
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do k=1, nz
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j = icol(k)
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if ((1<=j).and.(j<=nr).and.(i /= j)) then
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if (abs(val(k)) > theta*sqrt(abs(diag(i)*diag(j)))) then
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ilaggr(j) = naggr
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else
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ilaggr(j) = -naggr
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endif
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end if
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enddo
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!
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! 2. Untouched neighbours of these nodes are marked <0.
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!
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call a%get_neigh(i,neigh,n_ne,info,lev=2_psb_ipk_)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_
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call psb_errpush(info,name,a_err='psb_neigh')
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goto 9999
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end if
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do n = 1, n_ne
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m = neigh(n)
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if ((1<=m).and.(m<=nr)) then
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if (ilaggr(m) == -(nr+1)) ilaggr(m) = -naggr
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endif
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enddo
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endif
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enddo
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nlp = nlp + 1
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if (icnt == 0) exit
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enddo
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if (debug_level >= psb_debug_outer_) then
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write(debug_unit,*) me,' ',trim(name),&
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& ' Check 1:',count(ilaggr == -(nr+1))
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|
end if
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|
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|
|
!
|
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|
|
! Phase two: sweep over leftovers.
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|
!
|
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|
allocate(ils(nr),stat=info)
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|
|
if(info /= psb_success_) then
|
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|
|
info=psb_err_alloc_request_
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|
|
call psb_errpush(info,name,i_err=(/naggr+10,izero,izero,izero,izero/),&
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|
|
& a_err='integer')
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|
goto 9999
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|
end if
|
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|
do i=1, size(ils)
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|
|
ils(i) = 0
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|
end do
|
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|
|
do i=1, nr
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|
|
n = ilaggr(i)
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|
|
if (n>0) then
|
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|
|
|
if (n>naggr) then
|
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|
|
|
info=psb_err_internal_error_
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|
|
call psb_errpush(info,name,a_err='loc_Aggregate: n > naggr 1 ?')
|
|
|
|
|
goto 9999
|
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|
|
else
|
|
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|
|
ils(n) = ils(n) + 1
|
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|
|
|
end if
|
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|
|
|
|
|
|
|
|
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 adjacent aggregate.
|
|
|
|
|
!
|
|
|
|
|
isz = nr+1
|
|
|
|
|
ia = -1
|
|
|
|
|
cpling = szero
|
|
|
|
|
call a%csget(i,i,nz,irow,icol,val,info)
|
|
|
|
|
if (info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
call psb_errpush(info,name,a_err='psb_sp_getrow')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
do j=1, nz
|
|
|
|
|
k = icol(j)
|
|
|
|
|
if ((1<=k).and.(k<=nr).and.(k /= i)) then
|
|
|
|
|
tcl = abs(val(j)) / sqrt(abs(diag(i)*diag(k)))
|
|
|
|
|
if (abs(val(j)) > theta*sqrt(abs(diag(i)*diag(k)))) then
|
|
|
|
|
!!$ if (tcl > theta) then
|
|
|
|
|
n = ilaggr(k)
|
|
|
|
|
if (n>0) then
|
|
|
|
|
if (n>naggr) then
|
|
|
|
|
info=psb_err_internal_error_
|
|
|
|
|
call psb_errpush(info,name,a_err='loc_Aggregate: n > naggr 2 ?')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
if ((abs(val(j))>cpling) .or. &
|
|
|
|
|
& ((abs(val(j)) == cpling).and. (ils(n) < isz))) then
|
|
|
|
|
!!$ if ((tcl > cpling) .or. ((tcl == cpling).and. (ils(n) < isz))) then
|
|
|
|
|
ia = n
|
|
|
|
|
isz = ils(n)
|
|
|
|
|
cpling = abs(val(j))
|
|
|
|
|
!!$ cpling = tcl
|
|
|
|
|
endif
|
|
|
|
|
endif
|
|
|
|
|
endif
|
|
|
|
|
end if
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
if (ia == -1) then
|
|
|
|
|
! At this point, the easiest thing is to start a new aggregate
|
|
|
|
|
naggr = naggr + 1
|
|
|
|
|
ilaggr(i) = naggr
|
|
|
|
|
ils(ilaggr(i)) = 1
|
|
|
|
|
|
|
|
|
|
else
|
|
|
|
|
|
|
|
|
|
ilaggr(i) = ia
|
|
|
|
|
|
|
|
|
|
if (ia>naggr) then
|
|
|
|
|
info=psb_err_internal_error_
|
|
|
|
|
call psb_errpush(info,name,a_err='loc_Aggregate: n > naggr ? ')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
ils(ia) = ils(ia) + 1
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
end if
|
|
|
|
|
end do
|
|
|
|
|
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=psb_err_internal_error_
|
|
|
|
|
call psb_errpush(info,name,a_err='Fatal error: some leftovers')
|
|
|
|
|
goto 9999
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
deallocate(ils,neigh,stat=info)
|
|
|
|
|
if (info /= psb_success_) then
|
|
|
|
|
info=psb_err_alloc_dealloc_
|
|
|
|
|
call psb_errpush(info,name)
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
if (naggr > ncol) then
|
|
|
|
|
write(0,*) name,'Error : naggr > ncol',naggr,ncol
|
|
|
|
|
info=psb_err_internal_error_
|
|
|
|
|
call psb_errpush(info,name,a_err='Fatal error: naggr>ncol')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
call psb_realloc(ncol,ilaggr,info)
|
|
|
|
|
if (info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='psb_realloc'
|
|
|
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
allocate(nlaggr(np),stat=info)
|
|
|
|
|
if (info /= psb_success_) then
|
|
|
|
|
info=psb_err_alloc_request_
|
|
|
|
|
call psb_errpush(info,name,i_err=(/np,izero,izero,izero,izero/),&
|
|
|
|
|
& a_err='integer')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
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nlaggr(:) = 0
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nlaggr(me+1) = naggr
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call psb_sum(ictxt,nlaggr(1:np))
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call psb_erractionrestore(err_act)
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return
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9999 continue
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call psb_erractionrestore(err_act)
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if (err_act.eq.psb_act_abort_) then
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call psb_error()
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return
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end if
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return
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end subroutine mld_c_dec_map_bld
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