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.
408 lines
13 KiB
Fortran
408 lines
13 KiB
Fortran
!!$
|
|
!!$
|
|
!!$ MLD2P4 version 1.0
|
|
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
|
!!$ based on PSBLAS (Parallel Sparse BLAS version 2.2)
|
|
!!$
|
|
!!$ (C) Copyright 2008
|
|
!!$
|
|
!!$ 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_cas_aply.f90
|
|
!
|
|
! Subroutine: mld_cas_aply
|
|
! Version: real
|
|
!
|
|
! This routine applies the Additive Schwarz preconditioner by computing
|
|
!
|
|
! Y = beta*Y + alpha*op(K^(-1))*X,
|
|
! where
|
|
! - K is the base preconditioner, stored in prec,
|
|
! - op(K^(-1)) is K^(-1) or its transpose, according to the value of trans,
|
|
! - X and Y are vectors,
|
|
! - alpha and beta are scalars.
|
|
!
|
|
!
|
|
! Arguments:
|
|
! alpha - real(psb_spk_), input.
|
|
! The scalar alpha.
|
|
! prec - type(mld_dbaseprc_type), input.
|
|
! The base preconditioner data structure containing the local part
|
|
! of the preconditioner K.
|
|
! x - real(psb_spk_), dimension(:), input.
|
|
! The local part of the vector X.
|
|
! beta - real(psb_spk_), input.
|
|
! The scalar beta.
|
|
! y - real(psb_spk_), dimension(:), input/output.
|
|
! The local part of the vector Y.
|
|
! desc_data - type(psb_desc_type), input.
|
|
! The communication descriptor associated to the matrix to be
|
|
! preconditioned.
|
|
! trans - character, optional.
|
|
! If trans='N','n' then op(K^(-1)) = K^(-1);
|
|
! if trans='T','t' then op(K^(-1)) = K^(-T) (transpose of K^(-1)).
|
|
! work - real(psb_spk_), dimension (:), optional, target.
|
|
! Workspace. Its size must be at least 4*psb_cd_get_local_cols(desc_data).
|
|
! info - integer, output.
|
|
! Error code.
|
|
!
|
|
subroutine mld_cas_aply(alpha,prec,x,beta,y,desc_data,trans,work,info)
|
|
|
|
use psb_base_mod
|
|
use mld_inner_mod, mld_protect_name => mld_cas_aply
|
|
|
|
implicit none
|
|
|
|
! Arguments
|
|
type(psb_desc_type),intent(in) :: desc_data
|
|
type(mld_cbaseprc_type), intent(in) :: prec
|
|
complex(psb_spk_),intent(in) :: x(:)
|
|
complex(psb_spk_),intent(inout) :: y(:)
|
|
complex(psb_spk_),intent(in) :: alpha,beta
|
|
character(len=1) :: trans
|
|
complex(psb_spk_),target :: work(:)
|
|
integer, intent(out) :: info
|
|
|
|
! Local variables
|
|
integer :: n_row,n_col, int_err(5), nrow_d
|
|
complex(psb_spk_), pointer :: ww(:), aux(:), tx(:),ty(:)
|
|
integer :: ictxt,np,me,isz, err_act
|
|
character(len=20) :: name, ch_err
|
|
character :: trans_
|
|
|
|
name='mld_cas_aply'
|
|
info = 0
|
|
call psb_erractionsave(err_act)
|
|
|
|
ictxt = psb_cd_get_context(desc_data)
|
|
|
|
call psb_info(ictxt, me, np)
|
|
|
|
trans_ = psb_toupper(trans)
|
|
|
|
select case(prec%iprcparm(mld_smoother_type_))
|
|
|
|
case(mld_bjac_)
|
|
|
|
call mld_sub_aply(alpha,prec,x,beta,y,desc_data,trans_,work,info)
|
|
if (info /= 0) then
|
|
info=4010
|
|
ch_err='mld_sub_aply'
|
|
goto 9999
|
|
end if
|
|
|
|
case(mld_as_)
|
|
!
|
|
! Additive Schwarz preconditioner
|
|
!
|
|
|
|
if ((prec%iprcparm(mld_sub_ovr_)==0).or.(np==1)) then
|
|
!
|
|
! Shortcut: this fixes performance for RAS(0) == BJA
|
|
!
|
|
call mld_sub_aply(alpha,prec,x,beta,y,desc_data,trans_,work,info)
|
|
if(info /= 0) then
|
|
info=4010
|
|
ch_err='mld_sub_aply'
|
|
goto 9999
|
|
end if
|
|
|
|
else
|
|
!
|
|
! Overlap > 0
|
|
!
|
|
|
|
n_row = psb_cd_get_local_rows(prec%desc_data)
|
|
n_col = psb_cd_get_local_cols(prec%desc_data)
|
|
nrow_d = psb_cd_get_local_rows(desc_data)
|
|
isz=max(n_row,N_COL)
|
|
if ((6*isz) <= size(work)) then
|
|
ww => work(1:isz)
|
|
tx => work(isz+1:2*isz)
|
|
ty => work(2*isz+1:3*isz)
|
|
aux => work(3*isz+1:)
|
|
else if ((4*isz) <= size(work)) then
|
|
aux => work(1:)
|
|
allocate(ww(isz),tx(isz),ty(isz),stat=info)
|
|
if (info /= 0) then
|
|
call psb_errpush(4025,name,i_err=(/3*isz,0,0,0,0/),&
|
|
& a_err='complex(psb_spk_)')
|
|
goto 9999
|
|
end if
|
|
else if ((3*isz) <= size(work)) then
|
|
ww => work(1:isz)
|
|
tx => work(isz+1:2*isz)
|
|
ty => work(2*isz+1:3*isz)
|
|
allocate(aux(4*isz),stat=info)
|
|
if (info /= 0) then
|
|
call psb_errpush(4025,name,i_err=(/4*isz,0,0,0,0/),&
|
|
& a_err='complex(psb_spk_)')
|
|
goto 9999
|
|
end if
|
|
else
|
|
allocate(ww(isz),tx(isz),ty(isz),&
|
|
&aux(4*isz),stat=info)
|
|
if (info /= 0) then
|
|
call psb_errpush(4025,name,i_err=(/4*isz,0,0,0,0/),&
|
|
& a_err='complex(psb_spk_)')
|
|
goto 9999
|
|
end if
|
|
|
|
endif
|
|
|
|
tx(1:nrow_d) = x(1:nrow_d)
|
|
tx(nrow_d+1:isz) = dzero
|
|
|
|
select case(trans_)
|
|
case('N')
|
|
!
|
|
! Get the overlap entries of tx (tx==x)
|
|
!
|
|
if (prec%iprcparm(mld_sub_restr_)==psb_halo_) then
|
|
call psb_halo(tx,prec%desc_data,info,work=aux,data=psb_comm_ext_)
|
|
if(info /=0) then
|
|
info=4010
|
|
ch_err='psb_halo'
|
|
goto 9999
|
|
end if
|
|
else if (prec%iprcparm(mld_sub_restr_) /= psb_none_) then
|
|
call psb_errpush(4001,name,a_err='Invalid mld_sub_restr_')
|
|
goto 9999
|
|
end if
|
|
|
|
!
|
|
! If required, reorder tx according to the row/column permutation of the
|
|
! local extended matrix, stored into the permutation vector prec%perm
|
|
!
|
|
if (prec%iprcparm(mld_sub_ren_)>0) then
|
|
call psb_gelp('n',prec%perm,tx,info)
|
|
if(info /=0) then
|
|
info=4010
|
|
ch_err='psb_gelp'
|
|
goto 9999
|
|
end if
|
|
endif
|
|
|
|
!
|
|
! Apply to tx the block-Jacobi preconditioner/solver (multiple sweeps of the
|
|
! block-Jacobi solver can be applied at the coarsest level of a multilevel
|
|
! preconditioner). The resulting vector is ty.
|
|
!
|
|
call mld_sub_aply(cone,prec,tx,czero,ty,prec%desc_data,trans_,aux,info)
|
|
if(info /= 0) then
|
|
info=4010
|
|
ch_err='mld_sub_aply'
|
|
goto 9999
|
|
end if
|
|
|
|
!
|
|
! Apply to ty the inverse permutation of prec%perm
|
|
!
|
|
if (prec%iprcparm(mld_sub_ren_)>0) then
|
|
call psb_gelp('n',prec%invperm,ty,info)
|
|
if(info /= 0) then
|
|
info=4010
|
|
ch_err='psb_gelp'
|
|
goto 9999
|
|
end if
|
|
endif
|
|
|
|
select case (prec%iprcparm(mld_sub_prol_))
|
|
|
|
case(psb_none_)
|
|
!
|
|
! Would work anyway, but since it is supposed to do nothing ...
|
|
! call psb_ovrl(ty,prec%desc_data,info,&
|
|
! & update=prec%iprcparm(mld_sub_prol_),work=aux)
|
|
|
|
|
|
case(psb_sum_,psb_avg_)
|
|
!
|
|
! Update the overlap of ty
|
|
!
|
|
call psb_ovrl(ty,prec%desc_data,info,&
|
|
& update=prec%iprcparm(mld_sub_prol_),work=aux)
|
|
if(info /=0) then
|
|
info=4010
|
|
ch_err='psb_ovrl'
|
|
goto 9999
|
|
end if
|
|
|
|
case default
|
|
call psb_errpush(4001,name,a_err='Invalid mld_sub_prol_')
|
|
goto 9999
|
|
end select
|
|
|
|
case('T','C')
|
|
!
|
|
! With transpose, we have to do it here
|
|
!
|
|
|
|
select case (prec%iprcparm(mld_sub_prol_))
|
|
|
|
case(psb_none_)
|
|
!
|
|
! Do nothing
|
|
|
|
case(psb_sum_)
|
|
!
|
|
! The transpose of sum is halo
|
|
!
|
|
call psb_halo(tx,prec%desc_data,info,work=aux,data=psb_comm_ext_)
|
|
if(info /=0) then
|
|
info=4010
|
|
ch_err='psb_halo'
|
|
goto 9999
|
|
end if
|
|
|
|
case(psb_avg_)
|
|
!
|
|
! Tricky one: first we have to scale the overlap entries,
|
|
! which we can do by assignind mode=0, i.e. no communication
|
|
! (hence only scaling), then we do the halo
|
|
!
|
|
call psb_ovrl(tx,prec%desc_data,info,&
|
|
& update=psb_avg_,work=aux,mode=0)
|
|
if(info /=0) then
|
|
info=4010
|
|
ch_err='psb_ovrl'
|
|
goto 9999
|
|
end if
|
|
call psb_halo(tx,prec%desc_data,info,work=aux,data=psb_comm_ext_)
|
|
if(info /=0) then
|
|
info=4010
|
|
ch_err='psb_halo'
|
|
goto 9999
|
|
end if
|
|
|
|
case default
|
|
call psb_errpush(4001,name,a_err='Invalid mld_sub_prol_')
|
|
goto 9999
|
|
end select
|
|
|
|
!
|
|
! If required, reorder tx according to the row/column permutation of the
|
|
! local extended matrix, stored into the permutation vector prec%perm
|
|
!
|
|
if (prec%iprcparm(mld_sub_ren_)>0) then
|
|
call psb_gelp('n',prec%perm,tx,info)
|
|
if(info /=0) then
|
|
info=4010
|
|
ch_err='psb_gelp'
|
|
goto 9999
|
|
end if
|
|
endif
|
|
|
|
!
|
|
! Apply to tx the block-Jacobi preconditioner/solver (multiple sweeps of the
|
|
! block-Jacobi solver can be applied at the coarsest level of a multilevel
|
|
! preconditioner). The resulting vector is ty.
|
|
!
|
|
call mld_sub_aply(cone,prec,tx,czero,ty,prec%desc_data,trans_,aux,info)
|
|
if(info /= 0) then
|
|
info=4010
|
|
ch_err='mld_sub_aply'
|
|
goto 9999
|
|
end if
|
|
|
|
!
|
|
! Apply to ty the inverse permutation of prec%perm
|
|
!
|
|
if (prec%iprcparm(mld_sub_ren_)>0) then
|
|
call psb_gelp('n',prec%invperm,ty,info)
|
|
if(info /= 0) then
|
|
info=4010
|
|
ch_err='psb_gelp'
|
|
goto 9999
|
|
end if
|
|
endif
|
|
|
|
!
|
|
! With transpose, we have to do it here
|
|
!
|
|
if (prec%iprcparm(mld_sub_restr_) == psb_halo_) then
|
|
call psb_ovrl(ty,prec%desc_data,info,&
|
|
& update=psb_sum_,work=aux)
|
|
if(info /=0) then
|
|
info=4010
|
|
ch_err='psb_ovrl'
|
|
goto 9999
|
|
end if
|
|
else if (prec%iprcparm(mld_sub_restr_) /= psb_none_) then
|
|
call psb_errpush(4001,name,a_err='Invalid mld_sub_restr_')
|
|
goto 9999
|
|
end if
|
|
|
|
case default
|
|
info=40
|
|
int_err(1)=6
|
|
ch_err(2:2)=trans
|
|
goto 9999
|
|
end select
|
|
|
|
!
|
|
! Compute y = beta*y + alpha*ty (ty==K^(-1)*tx)
|
|
!
|
|
call psb_geaxpby(alpha,ty,beta,y,desc_data,info)
|
|
|
|
|
|
if ((6*isz) <= size(work)) then
|
|
else if ((4*isz) <= size(work)) then
|
|
deallocate(ww,tx,ty)
|
|
else if ((3*isz) <= size(work)) then
|
|
deallocate(aux)
|
|
else
|
|
deallocate(ww,aux,tx,ty)
|
|
endif
|
|
end if
|
|
|
|
case default
|
|
|
|
call psb_errpush(4001,name,a_err='Invalid mld_smoother_type_')
|
|
goto 9999
|
|
|
|
end select
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 continue
|
|
call psb_errpush(info,name,i_err=int_err,a_err=ch_err)
|
|
call psb_erractionrestore(err_act)
|
|
if (err_act == psb_act_abort_) then
|
|
call psb_error()
|
|
return
|
|
end if
|
|
return
|
|
|
|
end subroutine mld_cas_aply
|
|
|