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!!$
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!!$
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!!$ MLD2P4 version 2.1
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!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
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!!$ based on PSBLAS (Parallel Sparse BLAS version 3.4)
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!!$
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!!$ (C) Copyright 2008, 2010, 2012, 2015, 2017
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!!$
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!!$ Salvatore Filippone Cranfield University
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!!$ Ambra Abdullahi Hassan 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 University of Campania "L. Vanvitelli", Caserta
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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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! File: mld_sprecaply.f90
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!
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! Subroutine: mld_sprecaply
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! Version: real
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!
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! This routine applies the preconditioner built by mld_sprecbld, i.e. it computes
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!
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! Y = op(M^(-1)) * X,
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! where
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! - M is the preconditioner,
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! - op(M^(-1)) is M^(-1) or its transpose, according to the value of trans,
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! - X and Y are vectors.
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! This operation is performed at each iteration of a preconditioned Krylov solver.
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!
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!
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! Arguments:
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! prec - type(mld_sprec_type), input.
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! The preconditioner data structure containing the local part
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! of the preconditioner to be applied.
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! x - real(psb_spk_), dimension(:), input.
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! The local part of the vector X in Y=op(M^(-1))*X.
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! y - real(psb_spk_), dimension(:), output.
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! The local part of the vector Y in Y=op(M^(-1))*X.
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! desc_data - type(psb_desc_type), input.
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! The communication descriptor associated to the matrix to be
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! preconditioned.
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! info - integer, output.
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! Error code.
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! trans - character(len=1), optional.
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! If trans='N','n' then op(M^(-1)) = M^(-1);
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! if trans='T','t' then op(M^(-1)) = M^(-T) (transpose of M^(-1)).
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! work - real(psb_spk_), dimension (:), optional, target.
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! Workspace. Its size must be at
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! least 4*desc_data%get_local_cols().
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!
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subroutine mld_sprecaply(prec,x,y,desc_data,info,trans,work)
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use psb_base_mod
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use mld_s_inner_mod, mld_protect_name => mld_sprecaply
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implicit none
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|
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! Arguments
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|
type(psb_desc_type),intent(in) :: desc_data
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|
type(mld_sprec_type), intent(inout) :: prec
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real(psb_spk_),intent(inout) :: x(:)
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real(psb_spk_),intent(inout) :: y(:)
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integer(psb_ipk_), intent(out) :: info
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character(len=1), optional :: trans
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real(psb_spk_),intent(inout), optional, target :: work(:)
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! Local variables
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character :: trans_
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real(psb_spk_), pointer :: work_(:)
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integer(psb_ipk_) :: ictxt,np,me
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integer(psb_ipk_) :: err_act,iwsz
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|
character(len=20) :: name
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name='mld_sprecaply'
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|
info = psb_success_
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|
|
call psb_erractionsave(err_act)
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ictxt = desc_data%get_context()
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|
|
call psb_info(ictxt, me, np)
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|
|
if (present(trans)) then
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|
trans_=psb_toupper(trans)
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|
else
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|
trans_='N'
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|
end if
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|
if (present(work)) then
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work_ => work
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|
else
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|
iwsz = max(1,4*desc_data%get_local_cols())
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|
allocate(work_(iwsz),stat=info)
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|
|
if (info /= psb_success_) then
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|
|
call psb_errpush(psb_err_alloc_request_,name, &
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|
|
& i_err=(/iwsz,izero,izero,izero,izero/),&
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|
|
& a_err='real(psb_spk_)')
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|
goto 9999
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|
|
end if
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|
end if
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|
|
|
if (.not.(allocated(prec%precv))) then
|
|
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|
|
!! Error 1: should call mld_sprecbld
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|
|
info=3112
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|
|
|
|
call psb_errpush(info,name)
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|
|
goto 9999
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|
end if
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|
|
|
if (size(prec%precv) >1) then
|
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|
|
!
|
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|
|
! Number of levels > 1: apply the multilevel preconditioner
|
|
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|
|
!
|
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|
|
call mld_mlprec_aply(sone,prec,x,szero,y,desc_data,trans_,work_,info)
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|
|
|
if(info /= psb_success_) then
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|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='mld_smlprec_aply')
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|
|
goto 9999
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|
|
end if
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|
|
|
else if (size(prec%precv) == 1) then
|
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|
|
|
!
|
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|
|
! Number of levels = 1: apply the base preconditioner
|
|
|
|
|
!
|
|
|
|
|
call prec%precv(1)%sm%apply(sone,x,szero,y,desc_data,trans_,&
|
|
|
|
|
& prec%precv(1)%parms%sweeps, work_,info)
|
|
|
|
|
else
|
|
|
|
|
info = psb_err_from_subroutine_ai_
|
|
|
|
|
call psb_errpush(info,name,a_err='Invalid size of precv',&
|
|
|
|
|
& i_Err=(/ione*size(prec%precv),izero,izero,izero,izero/))
|
|
|
|
|
goto 9999
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
! If the original distribution has an overlap we should fix that.
|
|
|
|
|
call psb_halo(y,desc_data,info,data=psb_comm_mov_)
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|
|
|
|
|
|
|
|
|
|
|
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|
|
if (present(work)) then
|
|
|
|
|
else
|
|
|
|
|
deallocate(work_)
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
|
return
|
|
|
|
|
|
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
|
|
|
|
|
|
|
|
return
|
|
|
|
|
|
|
|
|
|
end subroutine mld_sprecaply
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! Subroutine: mld_sprecaply1
|
|
|
|
|
! Version: real
|
|
|
|
|
!
|
|
|
|
|
! Applies the preconditioner built by mld_sprecbld, i.e. computes
|
|
|
|
|
!
|
|
|
|
|
! X = op(M^(-1)) * X,
|
|
|
|
|
! where
|
|
|
|
|
! - M is the preconditioner,
|
|
|
|
|
! - op(M^(-1)) is M^(-1) or its transpose, according to the value of trans,
|
|
|
|
|
! - X is a vectors.
|
|
|
|
|
! This operation is performed at each iteration of a preconditioned Krylov solver.
|
|
|
|
|
!
|
|
|
|
|
! This routine differs from mld_sprecaply because the preconditioned vector X
|
|
|
|
|
! overwrites the original one.
|
|
|
|
|
!
|
|
|
|
|
!
|
|
|
|
|
! Arguments:
|
|
|
|
|
! prec - type(mld_sprec_type), input.
|
|
|
|
|
! The preconditioner data structure containing the local part
|
|
|
|
|
! of the preconditioner to be applied.
|
|
|
|
|
! x - real(psb_spk_), dimension(:), input/output.
|
|
|
|
|
! The local part of vector X in X := op(M^(-1)) * X.
|
|
|
|
|
! desc_data - type(psb_desc_type), input.
|
|
|
|
|
! The communication descriptor associated to the matrix to be
|
|
|
|
|
! preconditioned.
|
|
|
|
|
! info - integer, output.
|
|
|
|
|
! Error code.
|
|
|
|
|
! trans - character(len=1), optional.
|
|
|
|
|
! If trans='N','n' then op(M^(-1)) = M^(-1);
|
|
|
|
|
! if trans='T','t' then op(M^(-1)) = M^(-T) (transpose of M^(-1)).
|
|
|
|
|
!
|
|
|
|
|
subroutine mld_sprecaply1(prec,x,desc_data,info,trans)
|
|
|
|
|
|
|
|
|
|
use psb_base_mod
|
|
|
|
|
use mld_s_inner_mod, mld_protect_name => mld_sprecaply1
|
|
|
|
|
|
|
|
|
|
implicit none
|
|
|
|
|
|
|
|
|
|
! Arguments
|
|
|
|
|
type(psb_desc_type),intent(in) :: desc_data
|
|
|
|
|
type(mld_sprec_type), intent(inout) :: prec
|
|
|
|
|
real(psb_spk_),intent(inout) :: x(:)
|
|
|
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
|
character(len=1), optional :: trans
|
|
|
|
|
|
|
|
|
|
! Local variables
|
|
|
|
|
integer(psb_ipk_) :: ictxt,np,me
|
|
|
|
|
integer(psb_ipk_) :: err_act
|
|
|
|
|
real(psb_spk_), pointer :: WW(:), w1(:)
|
|
|
|
|
character(len=20) :: name
|
|
|
|
|
|
|
|
|
|
name='mld_sprecaply1'
|
|
|
|
|
info = psb_success_
|
|
|
|
|
call psb_erractionsave(err_act)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ictxt = desc_data%get_context()
|
|
|
|
|
call psb_info(ictxt, me, np)
|
|
|
|
|
|
|
|
|
|
allocate(ww(size(x)),w1(size(x)),stat=info)
|
|
|
|
|
if (info /= psb_success_) then
|
|
|
|
|
info=psb_err_alloc_request_
|
|
|
|
|
call psb_errpush(info,name, &
|
|
|
|
|
& i_err=(/itwo*size(x),izero,izero,izero,izero/),&
|
|
|
|
|
& a_err='real(psb_spk_)')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
call mld_precaply(prec,x,ww,desc_data,info,trans=trans,work=w1)
|
|
|
|
|
if (info /= psb_success_) then
|
|
|
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='mld_precaply')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
x(:) = ww(:)
|
|
|
|
|
deallocate(ww,W1,stat=info)
|
|
|
|
|
if (info /= psb_success_) then
|
|
|
|
|
info = psb_err_alloc_dealloc_
|
|
|
|
|
call psb_errpush(info,name)
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
|
return
|
|
|
|
|
|
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
|
|
|
return
|
|
|
|
|
|
|
|
|
|
end subroutine mld_sprecaply1
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
subroutine mld_sprecaply2_vect(prec,x,y,desc_data,info,trans,work)
|
|
|
|
|
|
|
|
|
|
use psb_base_mod
|
|
|
|
|
use mld_s_inner_mod, mld_protect_name => mld_sprecaply2_vect
|
|
|
|
|
|
|
|
|
|
implicit none
|
|
|
|
|
|
|
|
|
|
! Arguments
|
|
|
|
|
type(psb_desc_type),intent(in) :: desc_data
|
|
|
|
|
type(mld_sprec_type), intent(inout) :: prec
|
|
|
|
|
type(psb_s_vect_type),intent(inout) :: x
|
|
|
|
|
type(psb_s_vect_type),intent(inout) :: y
|
|
|
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
|
character(len=1), optional :: trans
|
|
|
|
|
real(psb_spk_),intent(inout), optional, target :: work(:)
|
|
|
|
|
|
|
|
|
|
! Local variables
|
|
|
|
|
character :: trans_
|
|
|
|
|
real(psb_spk_), pointer :: work_(:)
|
|
|
|
|
integer(psb_ipk_) :: ictxt,np,me
|
|
|
|
|
integer(psb_ipk_) :: err_act,iwsz
|
|
|
|
|
character(len=20) :: name
|
|
|
|
|
|
|
|
|
|
name='mld_sprecaply'
|
|
|
|
|
info = psb_success_
|
|
|
|
|
call psb_erractionsave(err_act)
|
|
|
|
|
|
|
|
|
|
ictxt = desc_data%get_context()
|
|
|
|
|
call psb_info(ictxt, me, np)
|
|
|
|
|
|
|
|
|
|
if (present(trans)) then
|
|
|
|
|
trans_=psb_toupper(trans)
|
|
|
|
|
else
|
|
|
|
|
trans_='N'
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
if (present(work)) then
|
|
|
|
|
work_ => work
|
|
|
|
|
else
|
|
|
|
|
iwsz = max(1,4*desc_data%get_local_cols())
|
|
|
|
|
allocate(work_(iwsz),stat=info)
|
|
|
|
|
if (info /= psb_success_) then
|
|
|
|
|
call psb_errpush(psb_err_alloc_request_,name, &
|
|
|
|
|
& i_err=(/iwsz,izero,izero,izero,izero/),&
|
|
|
|
|
& a_err='real(psb_spk_)')
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goto 9999
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end if
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|
end if
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|
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if (.not.(allocated(prec%precv))) then
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!! Error 1: should call mld_sprecbld
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|
info=3112
|
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|
call psb_errpush(info,name)
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goto 9999
|
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|
end if
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|
|
if (size(prec%precv) >1) then
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|
!
|
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|
|
|
! Number of levels > 1: apply the multilevel preconditioner
|
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|
|
|
!
|
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|
|
|
call mld_mlprec_aply(sone,prec,x,szero,y,desc_data,trans_,work_,info)
|
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|
|
|
|
|
|
|
if(info /= psb_success_) then
|
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|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='mld_smlprec_aply')
|
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|
|
|
goto 9999
|
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|
|
end if
|
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|
|
|
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|
|
|
else if (size(prec%precv) == 1) then
|
|
|
|
|
!
|
|
|
|
|
! Number of levels = 1: apply the base preconditioner
|
|
|
|
|
!
|
|
|
|
|
call prec%precv(1)%sm%apply(sone,x,szero,y,desc_data,trans_,&
|
|
|
|
|
& prec%precv(1)%parms%sweeps, work_,info)
|
|
|
|
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|
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|
|
else
|
|
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|
|
|
|
|
|
|
info = psb_err_from_subroutine_ai_
|
|
|
|
|
call psb_errpush(info,name,a_err='Invalid size of precv',&
|
|
|
|
|
& i_Err=(/ione*size(prec%precv),izero,izero,izero,izero/))
|
|
|
|
|
goto 9999
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
! If the original distribution has an overlap we should fix that.
|
|
|
|
|
call psb_halo(y,desc_data,info,data=psb_comm_mov_)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if (present(work)) then
|
|
|
|
|
else
|
|
|
|
|
deallocate(work_)
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
|
return
|
|
|
|
|
|
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
|
|
|
|
|
|
|
|
return
|
|
|
|
|
|
|
|
|
|
end subroutine mld_sprecaply2_vect
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
subroutine mld_sprecaply1_vect(prec,x,desc_data,info,trans,work)
|
|
|
|
|
|
|
|
|
|
use psb_base_mod
|
|
|
|
|
use mld_s_inner_mod, mld_protect_name => mld_sprecaply1_vect
|
|
|
|
|
|
|
|
|
|
implicit none
|
|
|
|
|
|
|
|
|
|
! Arguments
|
|
|
|
|
type(psb_desc_type),intent(in) :: desc_data
|
|
|
|
|
type(mld_sprec_type), intent(inout) :: prec
|
|
|
|
|
type(psb_s_vect_type),intent(inout) :: x
|
|
|
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
|
character(len=1), optional :: trans
|
|
|
|
|
real(psb_spk_),intent(inout), optional, target :: work(:)
|
|
|
|
|
|
|
|
|
|
! Local variables
|
|
|
|
|
character :: trans_
|
|
|
|
|
type(psb_s_vect_type) :: ww
|
|
|
|
|
real(psb_spk_), pointer :: work_(:)
|
|
|
|
|
integer(psb_ipk_) :: ictxt,np,me
|
|
|
|
|
integer(psb_ipk_) :: err_act,iwsz
|
|
|
|
|
character(len=20) :: name
|
|
|
|
|
|
|
|
|
|
name='mld_sprecaply'
|
|
|
|
|
info = psb_success_
|
|
|
|
|
call psb_erractionsave(err_act)
|
|
|
|
|
|
|
|
|
|
ictxt = desc_data%get_context()
|
|
|
|
|
call psb_info(ictxt, me, np)
|
|
|
|
|
|
|
|
|
|
if (present(trans)) then
|
|
|
|
|
trans_=psb_toupper(trans)
|
|
|
|
|
else
|
|
|
|
|
trans_='N'
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
if (present(work)) then
|
|
|
|
|
work_ => work
|
|
|
|
|
else
|
|
|
|
|
iwsz = max(1,4*desc_data%get_local_cols())
|
|
|
|
|
allocate(work_(iwsz),stat=info)
|
|
|
|
|
if (info /= psb_success_) then
|
|
|
|
|
call psb_errpush(psb_err_alloc_request_,name, &
|
|
|
|
|
& i_err=(/iwsz,izero,izero,izero,izero/),&
|
|
|
|
|
& a_err='real(psb_spk_)')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
if (.not.(allocated(prec%precv))) then
|
|
|
|
|
!! Error 1: should call mld_sprecbld
|
|
|
|
|
info=3112
|
|
|
|
|
call psb_errpush(info,name)
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
call psb_geasb(ww,desc_data,info,mold=x%v,scratch=.true.)
|
|
|
|
|
if (size(prec%precv) >1) then
|
|
|
|
|
!
|
|
|
|
|
! Number of levels > 1: apply the multilevel preconditioner
|
|
|
|
|
!
|
|
|
|
|
call mld_mlprec_aply(sone,prec,x,szero,ww,desc_data,trans_,work_,info)
|
|
|
|
|
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='mld_smlprec_aply')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
else if (size(prec%precv) == 1) then
|
|
|
|
|
!
|
|
|
|
|
! Number of levels = 1: apply the base preconditioner
|
|
|
|
|
!
|
|
|
|
|
call prec%precv(1)%sm%apply(sone,x,szero,ww,desc_data,trans_,&
|
|
|
|
|
& prec%precv(1)%parms%sweeps, work_,info)
|
|
|
|
|
|
|
|
|
|
else
|
|
|
|
|
|
|
|
|
|
info = psb_err_from_subroutine_ai_
|
|
|
|
|
call psb_errpush(info,name,a_err='Invalid size of precv',&
|
|
|
|
|
& i_Err=(/ione*size(prec%precv),izero,izero,izero,izero/))
|
|
|
|
|
goto 9999
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
if (info == 0) call psb_geaxpby(sone,ww,szero,x,desc_data,info)
|
|
|
|
|
if (info == 0) call psb_gefree(ww,desc_data,info)
|
|
|
|
|
|
|
|
|
|
! If the original distribution has an overlap we should fix that.
|
|
|
|
|
call psb_halo(x,desc_data,info,data=psb_comm_mov_)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if (present(work)) then
|
|
|
|
|
else
|
|
|
|
|
deallocate(work_)
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
|
return
|
|
|
|
|
|
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
|
|
|
|
|
|
|
|
return
|
|
|
|
|
|
|
|
|
|
end subroutine mld_sprecaply1_vect
|
