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