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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_as_smoother_apply(alpha,sm,x,beta,y,desc_data,trans,sweeps,work,info)
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use psb_base_mod
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use mld_c_as_smoother, mld_protect_nam => mld_c_as_smoother_apply
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implicit none
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type(psb_desc_type), intent(in) :: desc_data
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class(mld_c_as_smoother_type), intent(inout) :: sm
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complex(psb_spk_),intent(inout) :: x(:)
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complex(psb_spk_),intent(inout) :: y(:)
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complex(psb_spk_),intent(in) :: alpha,beta
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character(len=1),intent(in) :: trans
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integer(psb_ipk_), intent(in) :: sweeps
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complex(psb_spk_),target, intent(inout) :: work(:)
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_) :: n_row,n_col, nrow_d, i
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complex(psb_spk_), pointer :: ww(:), aux(:), tx(:),ty(:)
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integer(psb_ipk_) :: ictxt,np,me, err_act,isz,int_err(5)
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character :: trans_
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character(len=20) :: name='c_as_smoother_apply', ch_err
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call psb_erractionsave(err_act)
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info = psb_success_
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ictxt = desc_data%get_context()
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call psb_info (ictxt,me,np)
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trans_ = psb_toupper(trans)
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select case(trans_)
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case('N')
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case('T')
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case('C')
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case default
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call psb_errpush(psb_err_iarg_invalid_i_,name)
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goto 9999
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end select
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if (.not.allocated(sm%sv)) then
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info = 1121
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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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n_row = sm%desc_data%get_local_rows()
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n_col = sm%desc_data%get_local_cols()
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nrow_d = desc_data%get_local_rows()
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isz=max(n_row,N_COL)
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if ((6*isz) <= size(work)) then
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ww => work(1:isz)
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tx => work(isz+1:2*isz)
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ty => work(2*isz+1:3*isz)
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aux => work(3*isz+1:)
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else if ((4*isz) <= size(work)) then
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aux => work(1:)
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allocate(ww(isz),tx(isz),ty(isz),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=(/3*isz,izero,izero,izero,izero/),&
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& a_err='complex(psb_spk_)')
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goto 9999
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end if
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else if ((3*isz) <= size(work)) then
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ww => work(1:isz)
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tx => work(isz+1:2*isz)
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ty => work(2*isz+1:3*isz)
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allocate(aux(4*isz),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=(/4*isz,izero,izero,izero,izero/),&
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& a_err='complex(psb_spk_)')
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goto 9999
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end if
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else
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allocate(ww(isz),tx(isz),ty(isz),&
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&aux(4*isz),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=(/4*isz,izero,izero,izero,izero/),&
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& a_err='complex(psb_spk_)')
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goto 9999
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end if
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endif
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if ((sm%novr == 0).and.(sweeps == 1)) then
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!
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! Shortcut: in this case it's just the same
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|
! as Block Jacobi.
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!
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|
call sm%sv%apply(alpha,x,beta,y,desc_data,trans_,aux,info)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_internal_error_,name,&
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|
& a_err='Error in sub_aply Jacobi Sweeps = 1')
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goto 9999
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endif
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else
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tx(1:nrow_d) = x(1:nrow_d)
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tx(nrow_d+1:isz) = czero
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if (sweeps == 1) then
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select case(trans_)
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case('N')
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!
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! Get the overlap entries of tx (tx == x)
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!
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if (sm%restr == psb_halo_) then
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call psb_halo(tx,sm%desc_data,info,work=aux,data=psb_comm_ext_)
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='psb_halo'
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goto 9999
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|
end if
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|
else if (sm%restr /= psb_none_) then
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|
|
call psb_errpush(psb_err_internal_error_,name,&
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|
&a_err='Invalid mld_sub_restr_')
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|
|
goto 9999
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|
end if
|
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|
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|
|
case('T','C')
|
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|
|
!
|
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|
|
! With transpose, we have to do it here
|
|
|
|
|
!
|
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|
|
|
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|
|
|
select case (sm%prol)
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|
case(psb_none_)
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|
|
!
|
|
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|
|
! Do nothing
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|
|
|
|
|
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|
|
case(psb_sum_)
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|
|
|
|
!
|
|
|
|
|
! The transpose of sum is halo
|
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|
|
|
!
|
|
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|
|
call psb_halo(tx,sm%desc_data,info,work=aux,data=psb_comm_ext_)
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='psb_halo'
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|
|
|
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,sm%desc_data,info,&
|
|
|
|
|
& update=psb_avg_,work=aux,mode=izero)
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='psb_ovrl'
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
call psb_halo(tx,sm%desc_data,info,work=aux,data=psb_comm_ext_)
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='psb_halo'
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
case default
|
|
|
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
|
|
|
& a_err='Invalid mld_sub_prol_')
|
|
|
|
|
goto 9999
|
|
|
|
|
end select
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
case default
|
|
|
|
|
info=psb_err_iarg_invalid_i_
|
|
|
|
|
int_err(1)=6
|
|
|
|
|
ch_err(2:2)=trans
|
|
|
|
|
goto 9999
|
|
|
|
|
end select
|
|
|
|
|
|
|
|
|
|
call sm%sv%apply(cone,tx,czero,ty,sm%desc_data,trans_,aux,info)
|
|
|
|
|
|
|
|
|
|
if (info /= psb_success_) then
|
|
|
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
|
|
|
& a_err='Error in sub_aply Jacobi Sweeps = 1')
|
|
|
|
|
goto 9999
|
|
|
|
|
endif
|
|
|
|
|
|
|
|
|
|
select case(trans_)
|
|
|
|
|
case('N')
|
|
|
|
|
|
|
|
|
|
select case (sm%prol)
|
|
|
|
|
|
|
|
|
|
case(psb_none_)
|
|
|
|
|
!
|
|
|
|
|
! Would work anyway, but since it is supposed to do nothing ...
|
|
|
|
|
! call psb_ovrl(ty,sm%desc_data,info,&
|
|
|
|
|
! & update=sm%prol,work=aux)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
case(psb_sum_,psb_avg_)
|
|
|
|
|
!
|
|
|
|
|
! Update the overlap of ty
|
|
|
|
|
!
|
|
|
|
|
call psb_ovrl(ty,sm%desc_data,info,&
|
|
|
|
|
& update=sm%prol,work=aux)
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='psb_ovrl'
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
case default
|
|
|
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
|
|
|
& a_err='Invalid mld_sub_prol_')
|
|
|
|
|
goto 9999
|
|
|
|
|
end select
|
|
|
|
|
|
|
|
|
|
case('T','C')
|
|
|
|
|
!
|
|
|
|
|
! With transpose, we have to do it here
|
|
|
|
|
!
|
|
|
|
|
if (sm%restr == psb_halo_) then
|
|
|
|
|
call psb_ovrl(ty,sm%desc_data,info,&
|
|
|
|
|
& update=psb_sum_,work=aux)
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='psb_ovrl'
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
else if (sm%restr /= psb_none_) then
|
|
|
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
|
|
|
&a_err='Invalid mld_sub_restr_')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
case default
|
|
|
|
|
info=psb_err_iarg_invalid_i_
|
|
|
|
|
int_err(1)=6
|
|
|
|
|
ch_err(2:2)=trans
|
|
|
|
|
goto 9999
|
|
|
|
|
end select
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
else if (sweeps > 1) then
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
!
|
|
|
|
|
! Apply prec%iprcparm(mld_smoother_sweeps_) sweeps of a block-Jacobi solver
|
|
|
|
|
! to compute an approximate solution of a linear system.
|
|
|
|
|
!
|
|
|
|
|
!
|
|
|
|
|
ty = czero
|
|
|
|
|
do i=1, sweeps
|
|
|
|
|
select case(trans_)
|
|
|
|
|
case('N')
|
|
|
|
|
!
|
|
|
|
|
! Get the overlap entries of tx (tx == x)
|
|
|
|
|
!
|
|
|
|
|
if (sm%restr == psb_halo_) then
|
|
|
|
|
call psb_halo(tx,sm%desc_data,info,work=aux,data=psb_comm_ext_)
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='psb_halo'
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
else if (sm%restr /= psb_none_) then
|
|
|
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
|
|
|
& a_err='Invalid mld_sub_restr_')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
case('T','C')
|
|
|
|
|
!
|
|
|
|
|
! With transpose, we have to do it here
|
|
|
|
|
!
|
|
|
|
|
|
|
|
|
|
select case (sm%prol)
|
|
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|
|
|
|
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|
|
case(psb_none_)
|
|
|
|
|
!
|
|
|
|
|
! Do nothing
|
|
|
|
|
|
|
|
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|
case(psb_sum_)
|
|
|
|
|
!
|
|
|
|
|
! The transpose of sum is halo
|
|
|
|
|
!
|
|
|
|
|
call psb_halo(tx,sm%desc_data,info,work=aux,data=psb_comm_ext_)
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
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,sm%desc_data,info,&
|
|
|
|
|
& update=psb_avg_,work=aux,mode=izero)
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='psb_ovrl'
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
call psb_halo(tx,sm%desc_data,info,work=aux,data=psb_comm_ext_)
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='psb_halo'
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
case default
|
|
|
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
|
|
|
& a_err='Invalid mld_sub_prol_')
|
|
|
|
|
goto 9999
|
|
|
|
|
end select
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
case default
|
|
|
|
|
info=psb_err_iarg_invalid_i_
|
|
|
|
|
int_err(1)=6
|
|
|
|
|
ch_err(2:2)=trans
|
|
|
|
|
goto 9999
|
|
|
|
|
end select
|
|
|
|
|
!
|
|
|
|
|
! Compute Y(j+1) = D^(-1)*(X-ND*Y(j)), where D and ND are the
|
|
|
|
|
! block diagonal part and the remaining part of the local matrix
|
|
|
|
|
! and Y(j) is the approximate solution at sweep j.
|
|
|
|
|
!
|
|
|
|
|
ww(1:n_row) = tx(1:n_row)
|
|
|
|
|
call psb_spmm(-cone,sm%nd,ty,cone,ww,sm%desc_data,info,&
|
|
|
|
|
& work=aux,trans=trans_)
|
|
|
|
|
|
|
|
|
|
if (info /= psb_success_) exit
|
|
|
|
|
|
|
|
|
|
call sm%sv%apply(cone,ww,czero,ty,sm%desc_data,trans_,aux,info)
|
|
|
|
|
|
|
|
|
|
if (info /= psb_success_) exit
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
select case(trans_)
|
|
|
|
|
case('N')
|
|
|
|
|
|
|
|
|
|
select case (sm%prol)
|
|
|
|
|
|
|
|
|
|
case(psb_none_)
|
|
|
|
|
!
|
|
|
|
|
! Would work anyway, but since it is supposed to do nothing ...
|
|
|
|
|
! call psb_ovrl(ty,sm%desc_data,info,&
|
|
|
|
|
! & update=sm%prol,work=aux)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
case(psb_sum_,psb_avg_)
|
|
|
|
|
!
|
|
|
|
|
! Update the overlap of ty
|
|
|
|
|
!
|
|
|
|
|
call psb_ovrl(ty,sm%desc_data,info,&
|
|
|
|
|
& update=sm%prol,work=aux)
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='psb_ovrl'
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
case default
|
|
|
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
|
|
|
& a_err='Invalid mld_sub_prol_')
|
|
|
|
|
goto 9999
|
|
|
|
|
end select
|
|
|
|
|
|
|
|
|
|
case('T','C')
|
|
|
|
|
!
|
|
|
|
|
! With transpose, we have to do it here
|
|
|
|
|
!
|
|
|
|
|
if (sm%restr == psb_halo_) then
|
|
|
|
|
call psb_ovrl(ty,sm%desc_data,info,&
|
|
|
|
|
& update=psb_sum_,work=aux)
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='psb_ovrl'
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
else if (sm%restr /= psb_none_) then
|
|
|
|
|
call psb_errpush(psb_err_internal_error_,name,&
|
|
|
|
|
& a_err='Invalid mld_sub_restr_')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
case default
|
|
|
|
|
info=psb_err_iarg_invalid_i_
|
|
|
|
|
int_err(1)=6
|
|
|
|
|
ch_err(2:2)=trans
|
|
|
|
|
goto 9999
|
|
|
|
|
end select
|
|
|
|
|
end do
|
|
|
|
|
|
|
|
|
|
if (info /= psb_success_) then
|
|
|
|
|
info=psb_err_internal_error_
|
|
|
|
|
call psb_errpush(info,name,a_err='subsolve with Jacobi sweeps > 1')
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
else
|
|
|
|
|
|
|
|
|
|
info = psb_err_iarg_neg_
|
|
|
|
|
call psb_errpush(info,name,&
|
|
|
|
|
& i_err=(/itwo,sweeps,izero,izero,izero/))
|
|
|
|
|
goto 9999
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! Compute y = beta*y + alpha*ty (ty == K^(-1)*tx)
|
|
|
|
|
!
|
|
|
|
|
call psb_geaxpby(alpha,ty,beta,y,desc_data,info)
|
|
|
|
|
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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
|
|
|
|
|
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
|
return
|
|
|
|
|
|
|
|
|
|
9999 continue
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
|
if (err_act == psb_act_abort_) then
|
|
|
|
|
call psb_error()
|
|
|
|
|
return
|
|
|
|
|
end if
|
|
|
|
|
return
|
|
|
|
|
|
|
|
|
|
end subroutine mld_c_as_smoother_apply
|
