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.
281 lines
10 KiB
Fortran
281 lines
10 KiB
Fortran
!!$
|
|
!!$
|
|
!!$ MLD2P4 version 1.1
|
|
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
|
!!$ based on PSBLAS (Parallel Sparse BLAS version 2.3.1)
|
|
!!$
|
|
!!$ (C) Copyright 2008,2009
|
|
!!$
|
|
!!$ Salvatore Filippone University of Rome Tor Vergata
|
|
!!$ Alfredo Buttari University of Rome Tor Vergata
|
|
!!$ 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_dilu_bld.f90
|
|
!
|
|
! Subroutine: mld_dilu_bld
|
|
! Version: real
|
|
!
|
|
! This routine computes an incomplete LU (ILU) factorization of the diagonal
|
|
! blocks of a distributed matrix. This factorization is used to build the
|
|
! 'base preconditioner' (block-Jacobi preconditioner/solver, Additive Schwarz
|
|
! preconditioner) corresponding to a certain level of a multilevel preconditioner.
|
|
!
|
|
! The following factorizations are available:
|
|
! - ILU(k), i.e. ILU factorization with fill-in level k,
|
|
! - MILU(k), i.e. modified ILU factorization with fill-in level k,
|
|
! - ILU(k,t), i.e. ILU with threshold (i.e. drop tolerance) t and k additional
|
|
! entries in each row of the L and U factors with respect to the initial
|
|
! sparsity pattern.
|
|
! Note that the meaning of k in ILU(k,t) is different from that in ILU(k) and
|
|
! MILU(k).
|
|
!
|
|
! For details on the above factorizations see
|
|
! Y. Saad, Iterative Methods for Sparse Linear Systems, Second Edition,
|
|
! SIAM, 2003, Chapter 10.
|
|
!
|
|
! Note that that this routine handles the ILU(0) factorization separately,
|
|
! through mld_ilu0_fact, for performance reasons.
|
|
!
|
|
!
|
|
! Arguments:
|
|
! a - type(psb_dspmat_type), input.
|
|
! The sparse matrix structure containing the local matrix.
|
|
! Note that if p%iprcparm(mld_sub_ovr_) > 0, i.e. the
|
|
! 'base' Additive Schwarz preconditioner has overlap greater than
|
|
! 0, and p%iprcparm(mld_sub_ren_) = 0, i.e. a reordering of the
|
|
! matrix has not been performed (see mld_fact_bld), then a contains
|
|
! only the 'original' local part of the distributed matrix,
|
|
! i.e. the rows of the matrix held by the calling process according
|
|
! to the initial data distribution.
|
|
! p - type(mld_dbaseprec_type), input/output.
|
|
! The 'base preconditioner' data structure. In input, p%iprcparm
|
|
! contains information on the type of factorization to be computed.
|
|
! In output, p%av(mld_l_pr_) and p%av(mld_u_pr_) contain the
|
|
! incomplete L and U factors (without their diagonals), and p%d
|
|
! contains the diagonal of the incomplete U factor. For more
|
|
! details on p see its description in mld_prec_type.f90.
|
|
! info - integer, output.
|
|
! Error code.
|
|
! blck - type(psb_dspmat_type), input, optional.
|
|
! The sparse matrix structure containing the remote rows of the
|
|
! distributed matrix, that have been retrieved by mld_as_bld
|
|
! to build an Additive Schwarz base preconditioner with overlap
|
|
! greater than 0. If the overlap is 0 or the matrix has been reordered
|
|
! (see mld_fact_bld), then blck does not contain any row.
|
|
!
|
|
subroutine mld_dilu_bld(a,p,upd,info,blck)
|
|
|
|
use psb_base_mod
|
|
use mld_inner_mod, mld_protect_name => mld_dilu_bld
|
|
|
|
implicit none
|
|
|
|
! Arguments
|
|
type(psb_dspmat_type), intent(in), target :: a
|
|
type(mld_dbaseprec_type), intent(inout) :: p
|
|
character, intent(in) :: upd
|
|
integer, intent(out) :: info
|
|
type(psb_dspmat_type), intent(in), optional :: blck
|
|
|
|
! Local Variables
|
|
integer :: i, nztota, err_act, n_row, nrow_a
|
|
character :: trans, unitd
|
|
integer :: debug_level, debug_unit
|
|
integer :: ictxt,np,me
|
|
character(len=20) :: name, ch_err
|
|
|
|
if(psb_get_errstatus().ne.0) return
|
|
info=0
|
|
name='mld_dilu_bld'
|
|
call psb_erractionsave(err_act)
|
|
debug_unit = psb_get_debug_unit()
|
|
debug_level = psb_get_debug_level()
|
|
ictxt = psb_cd_get_context(p%desc_data)
|
|
call psb_info(ictxt, me, np)
|
|
if (debug_level >= psb_debug_outer_) &
|
|
& write(debug_unit,*) me,' ',trim(name),' start'
|
|
trans = 'N'
|
|
unitd = 'U'
|
|
|
|
!
|
|
! Check the memory available to hold the incomplete L and U factors
|
|
! and allocate it if needed
|
|
!
|
|
|
|
if (allocated(p%av)) then
|
|
if (size(p%av) < mld_bp_ilu_avsz_) then
|
|
do i=1,size(p%av)
|
|
call psb_sp_free(p%av(i),info)
|
|
if (info /= 0) then
|
|
! Actually, we don't care here about this. Just let it go.
|
|
! return
|
|
end if
|
|
enddo
|
|
deallocate(p%av,stat=info)
|
|
endif
|
|
end if
|
|
if (.not.allocated(p%av)) then
|
|
allocate(p%av(mld_max_avsz_),stat=info)
|
|
if (info /= 0) then
|
|
call psb_errpush(4000,name)
|
|
goto 9999
|
|
end if
|
|
endif
|
|
|
|
nrow_a = psb_sp_get_nrows(a)
|
|
nztota = psb_sp_get_nnzeros(a)
|
|
if (present(blck)) then
|
|
nztota = nztota + psb_sp_get_nnzeros(blck)
|
|
end if
|
|
if (debug_level >= psb_debug_outer_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ': out get_nnzeros',nztota,a%m,a%k,nrow_a
|
|
|
|
n_row = p%desc_data%matrix_data(psb_n_row_)
|
|
p%av(mld_l_pr_)%m = n_row
|
|
p%av(mld_l_pr_)%k = n_row
|
|
p%av(mld_u_pr_)%m = n_row
|
|
p%av(mld_u_pr_)%k = n_row
|
|
call psb_sp_all(n_row,n_row,p%av(mld_l_pr_),nztota,info)
|
|
if (info == 0) call psb_sp_all(n_row,n_row,p%av(mld_u_pr_),nztota,info)
|
|
if(info/=0) then
|
|
info=4010
|
|
ch_err='psb_sp_all'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
if (allocated(p%d)) then
|
|
if (size(p%d) < n_row) then
|
|
deallocate(p%d)
|
|
endif
|
|
endif
|
|
if (.not.allocated(p%d)) then
|
|
allocate(p%d(n_row),stat=info)
|
|
if (info /= 0) then
|
|
call psb_errpush(4010,name,a_err='Allocate')
|
|
goto 9999
|
|
end if
|
|
|
|
endif
|
|
|
|
select case(p%iprcparm(mld_sub_solve_))
|
|
|
|
case (mld_ilu_t_)
|
|
!
|
|
! ILU(k,t)
|
|
!
|
|
|
|
select case(p%iprcparm(mld_sub_fillin_))
|
|
|
|
case(:-1)
|
|
! Error: fill-in <= -1
|
|
call psb_errpush(30,name,i_err=(/3,p%iprcparm(mld_sub_fillin_),0,0,0/))
|
|
goto 9999
|
|
|
|
case(0:)
|
|
! Fill-in >= 0
|
|
call mld_ilut_fact(p%iprcparm(mld_sub_fillin_),p%rprcparm(mld_sub_iluthrs_),&
|
|
& a, p%av(mld_l_pr_),p%av(mld_u_pr_),p%d,info,blck=blck)
|
|
end select
|
|
if(info/=0) then
|
|
info=4010
|
|
ch_err='mld_ilut_fact'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
case(mld_ilu_n_,mld_milu_n_)
|
|
!
|
|
! ILU(k) and MILU(k)
|
|
!
|
|
select case(p%iprcparm(mld_sub_fillin_))
|
|
case(:-1)
|
|
! Error: fill-in <= -1
|
|
call psb_errpush(30,name,i_err=(/3,p%iprcparm(mld_sub_fillin_),0,0,0/))
|
|
goto 9999
|
|
case(0)
|
|
! Fill-in 0
|
|
! Separate implementation of ILU(0) for better performance.
|
|
! There seems to be a problem with the separate implementation of MILU(0),
|
|
! contained into mld_ilu0_fact. This must be investigated. For the time being,
|
|
! resort to the implementation of MILU(k) with k=0.
|
|
if (p%iprcparm(mld_sub_solve_) == mld_ilu_n_) then
|
|
call mld_ilu0_fact(p%iprcparm(mld_sub_solve_),a,p%av(mld_l_pr_),p%av(mld_u_pr_),&
|
|
& p%d,info,blck=blck)
|
|
else
|
|
call mld_iluk_fact(p%iprcparm(mld_sub_fillin_),p%iprcparm(mld_sub_solve_),&
|
|
& a,p%av(mld_l_pr_),p%av(mld_u_pr_),p%d,info,blck=blck)
|
|
endif
|
|
case(1:)
|
|
! Fill-in >= 1
|
|
! The same routine implements both ILU(k) and MILU(k)
|
|
call mld_iluk_fact(p%iprcparm(mld_sub_fillin_),p%iprcparm(mld_sub_solve_),&
|
|
& a,p%av(mld_l_pr_),p%av(mld_u_pr_),p%d,info,blck=blck)
|
|
end select
|
|
if (info/=0) then
|
|
info=4010
|
|
ch_err='mld_iluk_fact'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
case default
|
|
! If we end up here, something was wrong up in the call chain.
|
|
call psb_errpush(4000,name)
|
|
goto 9999
|
|
|
|
end select
|
|
|
|
if (psb_sp_getifld(psb_upd_,p%av(mld_u_pr_),info) /= psb_upd_perm_) then
|
|
call psb_sp_trim(p%av(mld_u_pr_),info)
|
|
endif
|
|
|
|
if (psb_sp_getifld(psb_upd_,p%av(mld_l_pr_),info) /= psb_upd_perm_) then
|
|
call psb_sp_trim(p%av(mld_l_pr_),info)
|
|
endif
|
|
|
|
if (debug_level >= psb_debug_outer_) &
|
|
& write(debug_unit,*) me,' ',trim(name),' end'
|
|
|
|
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_dilu_bld
|
|
|
|
|