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.
787 lines
28 KiB
Fortran
787 lines
28 KiB
Fortran
!!$
|
|
!!$
|
|
!!$ MD2P4
|
|
!!$ Multilevel Domain Decomposition Parallel Preconditioner Package for PSBLAS
|
|
!!$ for
|
|
!!$ Parallel Sparse BLAS v2.0
|
|
!!$ (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata
|
|
!!$ Alfredo Buttari University of Rome Tor Vergata
|
|
!!$ Daniela di Serafino Second University of Naples
|
|
!!$ Pasqua D'Ambra ICAR-CNR
|
|
!!$
|
|
!!$ 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 MD2P4 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 MD2P4 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.
|
|
!!$
|
|
!!$
|
|
subroutine mld_zmlprec_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
|
|
!
|
|
! Compute Y <- beta*Y + alpha*K^-1 X
|
|
! where K is a multilevel preconditioner stored in baseprecv
|
|
!
|
|
! cfr.: Smith, Biorstad & Gropp
|
|
! Domain Decomposition
|
|
! Cambridge Univ. Press
|
|
!
|
|
! To each level I there corresponds a matrix A(I) and a preconditioner K(I)
|
|
!
|
|
! A notational difference: in the DD reference above the preconditioner for
|
|
! a given level K(I) is written out as a sum over the subdomains
|
|
!
|
|
! SUM_k(R_k^T A_k R_k)
|
|
!
|
|
! whereas in this code the sum is implicit in the parallelization,
|
|
! i.e. each process takes care of one subdomain, and for each level we have
|
|
! as many subdomains as there are processes (except for the coarsest level where
|
|
! we might have a replicated index space). Thus the sum apparently disappears
|
|
! from our code, but only apparently, because it is implicit in the call
|
|
! to mld_baseprec_aply.
|
|
!
|
|
! A bit of description of the baseprecv(:) data structure:
|
|
! 1. Number of levels = NLEV = size(baseprecv(:))
|
|
! 2. baseprecv(ilev)%av(:) sparse matrices needed for the current level.
|
|
! Includes:
|
|
! 2.1.: baseprecv(ilev)%av(mld_l_pr_) L factor of ILU preconditioners
|
|
! 2.2.: baseprecv(ilev)%av(mld_u_pr_) U factor of ILU preconditioners
|
|
! 2.3.: baseprecv(ilev)%av(mld_ap_nd_) Off-diagonal part of A for Jacobi sweeps
|
|
! 2.4.: baseprecv(ilev)%av(mld_ac_) Aggregated matrix of level ILEV
|
|
! 2.5.: baseprecv(ilev)%av(mld_sm_pr_t_) Smoother prolongator transpose; maps vectors
|
|
! (ilev-1) ---> (ilev)
|
|
! 2.6.: baseprecv(ilev)%av(mld_sm_pr_) Smoother prolongator; maps vectors
|
|
! (ilev) ---> (ilev-1)
|
|
! Shouldn't we keep just one of them and handle transpose in the sparse BLAS? maybe
|
|
!
|
|
! 3. baseprecv(ilev)%desc_data comm descriptor for level ILEV
|
|
! 4. baseprecv(ilev)%base_a Pointer (really a pointer!) to the base matrix
|
|
! baseprecv(ilev)%base_desc of the current level, i.e.: if ILEV=1 then A
|
|
! else the aggregated matrix av(mld_ac_); so we have
|
|
! a unified treatment of residuals. Need this to
|
|
! avoid passing explicitly matrix A to the
|
|
! outer prec. routine
|
|
! 5. baseprecv(ilev)%mlia The aggregation map from (ilev-1)-->(ilev)
|
|
! if no smoother, it is used instead of sm_pr_
|
|
! 6. baseprecv(ilev)%nlaggr Number of aggregates on the various procs.
|
|
!
|
|
|
|
use psb_base_mod
|
|
use mld_prec_mod, mld_protect_name => mld_zmlprec_aply
|
|
|
|
implicit none
|
|
|
|
type(psb_desc_type),intent(in) :: desc_data
|
|
type(mld_zbaseprc_type), intent(in) :: baseprecv(:)
|
|
complex(kind(1.d0)),intent(in) :: alpha,beta
|
|
complex(kind(1.d0)),intent(inout) :: x(:), y(:)
|
|
character :: trans
|
|
complex(kind(1.d0)),target :: work(:)
|
|
integer, intent(out) :: info
|
|
|
|
|
|
! Local variables
|
|
integer :: n_row,n_col
|
|
character ::diagl, diagu
|
|
integer :: ictxt,np,me,i, isz, nr2l,nc2l,err_act, iptype, int_err(5)
|
|
real(kind(1.d0)) :: omega
|
|
real(kind(1.d0)) :: t1, t2, t3, t4, t5, t6, t7
|
|
logical, parameter :: debug=.false., debugprt=.false.
|
|
integer :: ismth, nlev, ilev, icm
|
|
character(len=20) :: name, ch_err
|
|
|
|
type psb_mlprec_wrk_type
|
|
complex(kind(1.d0)), allocatable :: tx(:),ty(:),x2l(:),y2l(:)
|
|
end type psb_mlprec_wrk_type
|
|
type(psb_mlprec_wrk_type), allocatable :: mlprec_wrk(:)
|
|
|
|
name='mld_zmlprec_aply'
|
|
info = 0
|
|
call psb_erractionsave(err_act)
|
|
|
|
ictxt = psb_cd_get_context(desc_data)
|
|
call psb_info(ictxt, me, np)
|
|
|
|
if (debug) write(0,*) me,'Entry to mlprec_aply ',&
|
|
& size(baseprecv)
|
|
|
|
nlev = size(baseprecv)
|
|
allocate(mlprec_wrk(nlev),stat=info)
|
|
if (info /= 0) then
|
|
call psb_errpush(4010,name,a_err='Allocate')
|
|
goto 9999
|
|
end if
|
|
|
|
|
|
select case(baseprecv(2)%iprcparm(mld_ml_type_))
|
|
|
|
case(mld_no_ml_)
|
|
! Should not really get here.
|
|
call psb_errpush(4010,name,a_err='mld_no_ml_ in mlprc_aply?')
|
|
goto 9999
|
|
|
|
|
|
case(mld_add_ml_)
|
|
|
|
|
|
!
|
|
! Additive is very simple.
|
|
! 1. X(1) = Xext
|
|
! 2. DO ILEV=2,NLEV
|
|
! X(ILEV) = AV(PR_SM_T_)*X(ILEV-1)
|
|
! Y(ILEV) = (K(ILEV)**(-1))*X(ILEV)
|
|
! 3. DO ILEV=NLEV-1,1,-1
|
|
! Y(ILEV) = AV(PR_SM_)*Y(ILEV+1)
|
|
! 4. Yext = beta*Yext + alpha*Y(1)
|
|
!
|
|
! Note: level numbering reversed wrt ref. DD, i.e.
|
|
! 1..NLEV <=> (j) <-> 0
|
|
|
|
|
|
call mld_baseprec_aply(alpha,baseprecv(1),x,beta,y,&
|
|
& baseprecv(1)%base_desc,trans,work,info)
|
|
if(info /=0) goto 9999
|
|
allocate(mlprec_wrk(1)%x2l(size(x)),mlprec_wrk(1)%y2l(size(y)), stat=info)
|
|
if (info /= 0) then
|
|
info=4025
|
|
call psb_errpush(info,name,i_err=(/size(x)+size(y),0,0,0,0/),&
|
|
& a_err='real(kind(1.d0))')
|
|
goto 9999
|
|
end if
|
|
|
|
mlprec_wrk(1)%x2l(:) = x(:)
|
|
|
|
|
|
do ilev = 2, nlev
|
|
n_row = psb_cd_get_local_rows(baseprecv(ilev-1)%base_desc)
|
|
n_col = psb_cd_get_local_cols(baseprecv(ilev-1)%desc_data)
|
|
nc2l = psb_cd_get_local_cols(baseprecv(ilev)%desc_data)
|
|
nr2l = psb_cd_get_local_rows(baseprecv(ilev)%desc_data)
|
|
allocate(mlprec_wrk(ilev)%x2l(nc2l),mlprec_wrk(ilev)%y2l(nc2l),&
|
|
& mlprec_wrk(ilev)%tx(max(n_row,n_col)),&
|
|
& mlprec_wrk(ilev)%ty(max(n_row,n_col)), stat=info)
|
|
if (info /= 0) then
|
|
info=4025
|
|
call psb_errpush(info,name,i_err=(/2*(nc2l+max(n_row,n_col)),0,0,0,0/),&
|
|
& a_err='real(kind(1.d0))')
|
|
goto 9999
|
|
end if
|
|
|
|
mlprec_wrk(ilev)%x2l(:) = zzero
|
|
mlprec_wrk(ilev)%y2l(:) = zzero
|
|
mlprec_wrk(ilev)%tx(1:n_row) = mlprec_wrk(ilev-1)%x2l(1:n_row)
|
|
mlprec_wrk(ilev)%tx(n_row+1:max(n_row,n_col)) = zzero
|
|
mlprec_wrk(ilev)%ty(:) = zzero
|
|
|
|
|
|
ismth = baseprecv(ilev)%iprcparm(mld_aggr_kind_)
|
|
icm = baseprecv(ilev)%iprcparm(mld_coarse_mat_)
|
|
if (ismth /= mld_no_smooth_) then
|
|
!
|
|
! Smoothed aggregation
|
|
!
|
|
call psb_halo(mlprec_wrk(ilev-1)%x2l,baseprecv(ilev-1)%base_desc,&
|
|
& info,work=work)
|
|
if(info /=0) goto 9999
|
|
|
|
call psb_csmm(zone,baseprecv(ilev)%av(mld_sm_pr_t_),mlprec_wrk(ilev-1)%x2l,&
|
|
& zzero,mlprec_wrk(ilev)%x2l,info)
|
|
if(info /=0) goto 9999
|
|
|
|
else
|
|
!
|
|
! Raw aggregation, may take shortcut
|
|
!
|
|
do i=1,n_row
|
|
mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) = &
|
|
& mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) + &
|
|
& mlprec_wrk(ilev-1)%x2l(i)
|
|
end do
|
|
|
|
end if
|
|
|
|
if (icm ==mld_repl_mat_) Then
|
|
call psb_sum(ictxt,mlprec_wrk(ilev)%x2l(1:nr2l))
|
|
else if (icm/= mld_distr_mat_) Then
|
|
write(0,*) 'Unknown value for baseprecv(2)%iprcparm(mld_coarse_mat_) ',icm
|
|
endif
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(ilev),&
|
|
& mlprec_wrk(ilev)%x2l,zzero,mlprec_wrk(ilev)%y2l,&
|
|
& baseprecv(ilev)%desc_data, 'N',work,info)
|
|
|
|
enddo
|
|
|
|
do ilev =nlev,2,-1
|
|
|
|
n_row = psb_cd_get_local_rows(baseprecv(ilev-1)%base_desc)
|
|
n_col = psb_cd_get_local_cols(baseprecv(ilev-1)%desc_data)
|
|
nc2l = psb_cd_get_local_cols(baseprecv(ilev)%desc_data)
|
|
nr2l = psb_cd_get_local_rows(baseprecv(ilev)%desc_data)
|
|
ismth = baseprecv(ilev)%iprcparm(mld_aggr_kind_)
|
|
icm = baseprecv(ilev)%iprcparm(mld_coarse_mat_)
|
|
|
|
if (ismth /= mld_no_smooth_) then
|
|
|
|
call psb_csmm(zone,baseprecv(ilev)%av(mld_sm_pr_),mlprec_wrk(ilev)%y2l,&
|
|
& zone,mlprec_wrk(ilev-1)%y2l,info)
|
|
if(info /=0) goto 9999
|
|
|
|
else
|
|
|
|
do i=1, n_row
|
|
mlprec_wrk(ilev-1)%y2l(i) = mlprec_wrk(ilev-1)%y2l(i) + &
|
|
& mlprec_wrk(ilev)%y2l(baseprecv(ilev)%mlia(i))
|
|
enddo
|
|
|
|
end if
|
|
end do
|
|
|
|
call psb_geaxpby(alpha,mlprec_wrk(1)%y2l,zone,y,baseprecv(1)%base_desc,info)
|
|
if(info /=0) goto 9999
|
|
|
|
|
|
case(mld_mult_ml_)
|
|
|
|
!
|
|
! Multiplicative multilevel
|
|
! Pre/post smoothing versions.
|
|
!
|
|
|
|
select case(baseprecv(2)%iprcparm(mld_smooth_pos_))
|
|
|
|
case(mld_post_smooth_)
|
|
|
|
!
|
|
! Post smoothing.
|
|
! 1. X(1) = Xext
|
|
! 2. DO ILEV=2, NLEV :: X(ILEV) = AV(PR_SM_T_,ILEV)*X(ILEV-1)
|
|
! 3. Y(NLEV) = (K(NLEV)**(-1))*X(NLEV)
|
|
! 4. DO ILEV=NLEV-1,1,-1
|
|
! Y(ILEV) = AV(PR_SM_,ILEV+1)*Y(ILEV+1)
|
|
! Y(ILEV) = Y(ILEV) + (K(ILEV)**(-1))*(X(ILEV)-A(ILEV)*Y(ILEV))
|
|
!
|
|
! 5. Yext = beta*Yext + alpha*Y(1)
|
|
!
|
|
! Note: level numbering reversed wrt ref. DD, i.e.
|
|
! 1..NLEV <=> (j) <-> 0
|
|
!
|
|
! Also: post smoothing in the ref. DD is only presented for NLEV=2.
|
|
!
|
|
!
|
|
|
|
if (debug) write(0,*) me, 'mlpr_aply desc_data',&
|
|
& allocated(desc_data%matrix_data)
|
|
n_col = psb_cd_get_local_cols(desc_data)
|
|
nc2l = psb_cd_get_local_cols(baseprecv(1)%desc_data)
|
|
|
|
allocate(mlprec_wrk(1)%x2l(nc2l),mlprec_wrk(1)%y2l(nc2l), &
|
|
& mlprec_wrk(1)%tx(nc2l), stat=info)
|
|
mlprec_wrk(1)%x2l(:) = zzero
|
|
mlprec_wrk(1)%y2l(:) = zzero
|
|
mlprec_wrk(1)%tx(:) = zzero
|
|
|
|
call psb_geaxpby(zone,x,zzero,mlprec_wrk(1)%tx,&
|
|
& baseprecv(1)%base_desc,info)
|
|
call psb_geaxpby(zone,x,zzero,mlprec_wrk(1)%x2l,&
|
|
& baseprecv(1)%base_desc,info)
|
|
|
|
do ilev=2, nlev
|
|
|
|
|
|
n_row = psb_cd_get_local_rows(baseprecv(ilev-1)%base_desc)
|
|
n_col = psb_cd_get_local_cols(baseprecv(ilev-1)%desc_data)
|
|
nc2l = psb_cd_get_local_cols(baseprecv(ilev)%desc_data)
|
|
nr2l = psb_cd_get_local_rows(baseprecv(ilev)%desc_data)
|
|
ismth = baseprecv(ilev)%iprcparm(mld_aggr_kind_)
|
|
icm = baseprecv(ilev)%iprcparm(mld_coarse_mat_)
|
|
|
|
if (debug) write(0,*) me, 'mlpr_aply starting up sweep ',&
|
|
& ilev,allocated(baseprecv(ilev)%iprcparm),n_row,n_col,&
|
|
& nc2l, nr2l,ismth
|
|
|
|
allocate(mlprec_wrk(ilev)%tx(nc2l),mlprec_wrk(ilev)%y2l(nc2l),&
|
|
& mlprec_wrk(ilev)%x2l(nc2l), stat=info)
|
|
|
|
if (info /= 0) then
|
|
info=4025
|
|
call psb_errpush(info,name,i_err=(/4*nc2l,0,0,0,0/),&
|
|
& a_err='real(kind(1.d0))')
|
|
goto 9999
|
|
end if
|
|
|
|
mlprec_wrk(ilev)%x2l(:) = zzero
|
|
mlprec_wrk(ilev)%y2l(:) = zzero
|
|
mlprec_wrk(ilev)%tx(:) = zzero
|
|
if (ismth /= mld_no_smooth_) then
|
|
!
|
|
! Smoothed aggregation
|
|
!
|
|
if (debug) write(0,*) me, 'mlpr_aply halo in up sweep ', ilev
|
|
|
|
call psb_halo(mlprec_wrk(ilev-1)%x2l,&
|
|
& baseprecv(ilev-1)%base_desc,info,work=work)
|
|
if(info /=0) goto 9999
|
|
|
|
call psb_csmm(zone,baseprecv(ilev)%av(mld_sm_pr_t_),mlprec_wrk(ilev-1)%x2l, &
|
|
& zzero,mlprec_wrk(ilev)%x2l,info)
|
|
if(info /=0) goto 9999
|
|
|
|
else
|
|
!
|
|
! Raw aggregation, may take shortcut
|
|
!
|
|
do i=1,n_row
|
|
mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) = &
|
|
& mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) + &
|
|
& mlprec_wrk(ilev-1)%x2l(i)
|
|
end do
|
|
end if
|
|
|
|
if (debug) write(0,*) me, 'mlpr_aply possible sum in up sweep ', &
|
|
& ilev,icm,associated(baseprecv(ilev)%base_desc),mld_repl_mat_
|
|
if (debug) write(0,*) me, 'mlpr_aply geaxpby in up sweep X', &
|
|
& ilev,associated(baseprecv(ilev)%base_desc),&
|
|
& baseprecv(ilev)%base_desc%matrix_data(psb_n_row_),&
|
|
& baseprecv(ilev)%base_desc%matrix_data(psb_n_col_),&
|
|
& size(mlprec_wrk(ilev)%tx),size(mlprec_wrk(ilev)%x2l)
|
|
|
|
if (icm == mld_repl_mat_) Then
|
|
if (debug) write(0,*) 'Entering psb_sum ',nr2l
|
|
call psb_sum(ictxt,mlprec_wrk(ilev)%x2l(1:nr2l))
|
|
else if (icm /= mld_distr_mat_) Then
|
|
write(0,*) 'Unknown value for baseprecv(2)%iprcparm(mld_coarse_mat_) ', icm
|
|
endif
|
|
call psb_geaxpby(zone,mlprec_wrk(ilev)%x2l,zzero,mlprec_wrk(ilev)%tx,&
|
|
& baseprecv(ilev)%base_desc,info)
|
|
if(info /=0) goto 9999
|
|
|
|
enddo
|
|
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(nlev),mlprec_wrk(nlev)%x2l, &
|
|
& zzero, mlprec_wrk(nlev)%y2l,baseprecv(nlev)%desc_data,'N',work,info)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
|
|
do ilev=nlev-1, 1, -1
|
|
ismth = baseprecv(ilev+1)%iprcparm(mld_aggr_kind_)
|
|
n_row = psb_cd_get_local_rows(baseprecv(ilev)%base_desc)
|
|
|
|
if (ismth /= mld_no_smooth_) then
|
|
if (ismth == mld_smooth_prol_) &
|
|
& call psb_halo(mlprec_wrk(ilev+1)%y2l,baseprecv(ilev+1)%desc_data,&
|
|
& info,work=work)
|
|
call psb_csmm(zone,baseprecv(ilev+1)%av(mld_sm_pr_),mlprec_wrk(ilev+1)%y2l,&
|
|
& zzero,mlprec_wrk(ilev)%y2l,info)
|
|
if(info /=0) goto 9999
|
|
|
|
else
|
|
mlprec_wrk(ilev)%y2l(:) = zzero
|
|
do i=1, n_row
|
|
mlprec_wrk(ilev)%y2l(i) = mlprec_wrk(ilev)%y2l(i) + &
|
|
& mlprec_wrk(ilev+1)%y2l(baseprecv(ilev+1)%mlia(i))
|
|
enddo
|
|
|
|
end if
|
|
|
|
call psb_spmm(-zone,baseprecv(ilev)%base_a,mlprec_wrk(ilev)%y2l,&
|
|
& zone,mlprec_wrk(ilev)%tx,baseprecv(ilev)%base_desc,info,work=work)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(ilev),mlprec_wrk(ilev)%tx,&
|
|
& zone,mlprec_wrk(ilev)%y2l,baseprecv(ilev)%base_desc, trans, work,info)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
enddo
|
|
|
|
call psb_geaxpby(alpha,mlprec_wrk(1)%y2l,beta,y,baseprecv(1)%base_desc,info)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
|
|
case(mld_pre_smooth_)
|
|
|
|
!
|
|
! Pre smoothing.
|
|
! 1. X(1) = Xext
|
|
! 2. Y(1) = (K(1)**(-1))*X(1)
|
|
! 3. TX(1) = X(1) - A(1)*Y(1)
|
|
! 4. DO ILEV=2, NLEV
|
|
! X(ILEV) = AV(PR_SM_T_,ILEV)*TX(ILEV-1)
|
|
! Y(ILEV) = (K(ILEV)**(-1))*X(ILEV)
|
|
! TX(ILEV) = (X(ILEV)-A(ILEV)*Y(ILEV))
|
|
! 5. DO ILEV=NLEV-1,1,-1
|
|
! Y(ILEV) = Y(ILEV) + AV(PR_SM_,ILEV+1)*Y(ILEV+1)
|
|
! 6. Yext = beta*Yext + alpha*Y(1)
|
|
!
|
|
! Note: level numbering reversed wrt ref. DD, i.e.
|
|
! 1..NLEV <=> (j) <-> 0
|
|
!
|
|
!
|
|
|
|
n_col = psb_cd_get_local_cols(desc_data)
|
|
nc2l = psb_cd_get_local_cols(baseprecv(1)%desc_data)
|
|
|
|
allocate(mlprec_wrk(1)%x2l(nc2l),mlprec_wrk(1)%y2l(nc2l), &
|
|
& mlprec_wrk(1)%tx(nc2l), stat=info)
|
|
if (info /= 0) then
|
|
info=4025
|
|
call psb_errpush(info,name,i_err=(/4*nc2l,0,0,0,0/),&
|
|
& a_err='real(kind(1.d0))')
|
|
goto 9999
|
|
end if
|
|
|
|
mlprec_wrk(1)%y2l(:) = zzero
|
|
mlprec_wrk(1)%x2l(:) = x
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(1),mlprec_wrk(1)%x2l,&
|
|
& zzero,mlprec_wrk(1)%y2l,&
|
|
& baseprecv(1)%base_desc,&
|
|
& trans,work,info)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
mlprec_wrk(1)%tx = mlprec_wrk(1)%x2l
|
|
|
|
call psb_spmm(-zone,baseprecv(1)%base_a,mlprec_wrk(1)%y2l,&
|
|
& zone,mlprec_wrk(1)%tx,baseprecv(1)%base_desc,info,work=work)
|
|
if(info /=0) goto 9999
|
|
|
|
do ilev = 2, nlev
|
|
n_row = psb_cd_get_local_rows(baseprecv(ilev-1)%base_desc)
|
|
n_col = psb_cd_get_local_cols(baseprecv(ilev-1)%desc_data)
|
|
nc2l = psb_cd_get_local_cols(baseprecv(ilev)%desc_data)
|
|
nr2l = psb_cd_get_local_rows(baseprecv(ilev)%desc_data)
|
|
ismth = baseprecv(ilev)%iprcparm(mld_aggr_kind_)
|
|
icm = baseprecv(ilev)%iprcparm(mld_coarse_mat_)
|
|
|
|
allocate(mlprec_wrk(ilev)%tx(nc2l),mlprec_wrk(ilev)%y2l(nc2l),&
|
|
& mlprec_wrk(ilev)%x2l(nc2l), stat=info)
|
|
if (info /= 0) then
|
|
info=4025
|
|
call psb_errpush(info,name,i_err=(/4*nc2l,0,0,0,0/),&
|
|
& a_err='real(kind(1.d0))')
|
|
goto 9999
|
|
end if
|
|
|
|
mlprec_wrk(ilev)%x2l(:) = zzero
|
|
mlprec_wrk(ilev)%y2l(:) = zzero
|
|
mlprec_wrk(ilev)%tx(:) = zzero
|
|
|
|
|
|
if (ismth /= mld_no_smooth_) then
|
|
!
|
|
!Smoothed Aggregation
|
|
!
|
|
call psb_halo(mlprec_wrk(ilev-1)%tx,baseprecv(ilev-1)%base_desc,&
|
|
& info,work=work)
|
|
if(info /=0) goto 9999
|
|
|
|
call psb_csmm(zone,baseprecv(ilev)%av(mld_sm_pr_t_),mlprec_wrk(ilev-1)%tx,zzero,&
|
|
& mlprec_wrk(ilev)%x2l,info)
|
|
if(info /=0) goto 9999
|
|
|
|
else
|
|
!
|
|
! Raw aggregation, may take shortcuts
|
|
!
|
|
mlprec_wrk(ilev)%x2l = zzero
|
|
do i=1,n_row
|
|
mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) = &
|
|
& mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) + &
|
|
& mlprec_wrk(ilev-1)%tx(i)
|
|
end do
|
|
end if
|
|
|
|
if (icm ==mld_repl_mat_) then
|
|
call psb_sum(ictxt,mlprec_wrk(ilev)%x2l(1:nr2l))
|
|
else if (icm /= mld_distr_mat_) then
|
|
write(0,*) 'Unknown value for baseprecv(2)%iprcparm(mld_coarse_mat_) ', icm
|
|
endif
|
|
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(ilev),mlprec_wrk(ilev)%x2l,&
|
|
& zzero,mlprec_wrk(ilev)%y2l,baseprecv(ilev)%desc_data, 'N',work,info)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
if(ilev < nlev) then
|
|
mlprec_wrk(ilev)%tx = mlprec_wrk(ilev)%x2l
|
|
call psb_spmm(-zone,baseprecv(ilev)%base_a,mlprec_wrk(ilev)%y2l,&
|
|
& zone,mlprec_wrk(ilev)%tx,baseprecv(ilev)%base_desc,info,work=work)
|
|
if(info /=0) goto 9999
|
|
endif
|
|
|
|
enddo
|
|
|
|
do ilev = nlev-1, 1, -1
|
|
|
|
ismth = baseprecv(ilev+1)%iprcparm(mld_aggr_kind_)
|
|
n_row = psb_cd_get_local_rows(baseprecv(ilev)%base_desc)
|
|
|
|
if (ismth /= mld_no_smooth_) then
|
|
|
|
if (ismth == mld_smooth_prol_) &
|
|
& call psb_halo(mlprec_wrk(ilev+1)%y2l,&
|
|
& baseprecv(ilev+1)%desc_data,info,work=work)
|
|
call psb_csmm(zone,baseprecv(ilev+1)%av(mld_sm_pr_),mlprec_wrk(ilev+1)%y2l,&
|
|
& zone,mlprec_wrk(ilev)%y2l,info)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
else
|
|
|
|
do i=1, n_row
|
|
mlprec_wrk(ilev)%y2l(i) = mlprec_wrk(ilev)%y2l(i) + &
|
|
& mlprec_wrk(ilev+1)%y2l(baseprecv(ilev+1)%mlia(i))
|
|
enddo
|
|
|
|
end if
|
|
|
|
enddo
|
|
|
|
call psb_geaxpby(alpha,mlprec_wrk(1)%y2l,beta,y,&
|
|
& baseprecv(1)%base_desc,info)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
|
|
|
|
case(mld_twoside_smooth_)
|
|
|
|
!
|
|
! Symmetrized smoothing.
|
|
! 1. X(1) = Xext
|
|
! 2. Y(1) = (K(1)**(-1))*X(1)
|
|
! 3. TX(1) = X(1) - A(1)*Y(1)
|
|
! 4. DO ILEV=2, NLEV
|
|
! X(ILEV) = AV(PR_SM_T_,ILEV)*TX(ILEV-1)
|
|
! Y(ILEV) = (K(ILEV)**(-1))*X(ILEV)
|
|
! TX(ILEV) = (X(ILEV)-A(ILEV)*Y(ILEV))
|
|
! 5. DO ILEV=NLEV-1,1,-1
|
|
! Y(ILEV) = Y(ILEV) + AV(PR_SM_,ILEV+1)*Y(ILEV+1)
|
|
! Y(ILEV) = Y(ILEV) + (K(ILEV)**(-1))*(X(ILEV)-A(ILEV)*Y(ILEV))
|
|
! 6. Yext = beta*Yext + alpha*Y(1)
|
|
!
|
|
! Note: level numbering reversed wrt ref. DD, i.e.
|
|
! 1..NLEV <=> (j) <-> 0
|
|
!
|
|
!
|
|
n_col = psb_cd_get_local_cols(desc_data)
|
|
nc2l = psb_cd_get_local_cols(baseprecv(1)%desc_data)
|
|
|
|
allocate(mlprec_wrk(1)%x2l(nc2l),mlprec_wrk(1)%y2l(nc2l), &
|
|
& mlprec_wrk(1)%ty(nc2l), mlprec_wrk(1)%tx(nc2l), stat=info)
|
|
|
|
if (info /= 0) then
|
|
info=4025
|
|
call psb_errpush(info,name,i_err=(/4*nc2l,0,0,0,0/),&
|
|
& a_err='real(kind(1.d0))')
|
|
goto 9999
|
|
end if
|
|
mlprec_wrk(1)%x2l(:) = zzero
|
|
mlprec_wrk(1)%y2l(:) = zzero
|
|
mlprec_wrk(1)%tx(:) = zzero
|
|
mlprec_wrk(1)%ty(:) = zzero
|
|
|
|
|
|
call psb_geaxpby(zone,x,zzero,mlprec_wrk(1)%x2l,&
|
|
& baseprecv(1)%base_desc,info)
|
|
call psb_geaxpby(zone,x,zzero,mlprec_wrk(1)%tx,&
|
|
& baseprecv(1)%base_desc,info)
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(1),mlprec_wrk(1)%x2l,&
|
|
& zzero,mlprec_wrk(1)%y2l,&
|
|
& baseprecv(1)%base_desc,&
|
|
& trans,work,info)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
mlprec_wrk(1)%ty = mlprec_wrk(1)%x2l
|
|
|
|
call psb_spmm(-zone,baseprecv(1)%base_a,mlprec_wrk(1)%y2l,&
|
|
& zone,mlprec_wrk(1)%ty,baseprecv(1)%base_desc,info,work=work)
|
|
if(info /=0) goto 9999
|
|
|
|
do ilev = 2, nlev
|
|
n_row = psb_cd_get_local_rows(baseprecv(ilev-1)%base_desc)
|
|
n_col = psb_cd_get_local_cols(baseprecv(ilev-1)%desc_data)
|
|
nc2l = psb_cd_get_local_cols(baseprecv(ilev)%desc_data)
|
|
nr2l = psb_cd_get_local_rows(baseprecv(ilev)%desc_data)
|
|
ismth = baseprecv(ilev)%iprcparm(mld_aggr_kind_)
|
|
icm = baseprecv(ilev)%iprcparm(mld_coarse_mat_)
|
|
allocate(mlprec_wrk(ilev)%ty(nc2l),mlprec_wrk(ilev)%y2l(nc2l),&
|
|
& mlprec_wrk(ilev)%x2l(nc2l), stat=info)
|
|
|
|
if (info /= 0) then
|
|
info=4025
|
|
call psb_errpush(info,name,i_err=(/4*nc2l,0,0,0,0/),&
|
|
& a_err='real(kind(1.d0))')
|
|
goto 9999
|
|
end if
|
|
|
|
mlprec_wrk(ilev)%x2l(:) = zzero
|
|
mlprec_wrk(ilev)%y2l(:) = zzero
|
|
mlprec_wrk(ilev)%tx(:) = zzero
|
|
mlprec_wrk(ilev)%ty(:) = zzero
|
|
|
|
|
|
if (ismth /= mld_no_smooth_) then
|
|
!
|
|
!Smoothed Aggregation
|
|
!
|
|
call psb_halo(mlprec_wrk(ilev-1)%ty,baseprecv(ilev-1)%base_desc,&
|
|
& info,work=work)
|
|
if(info /=0) goto 9999
|
|
|
|
call psb_csmm(zone,baseprecv(ilev)%av(mld_sm_pr_t_),mlprec_wrk(ilev-1)%ty,zzero,&
|
|
& mlprec_wrk(ilev)%x2l,info)
|
|
if(info /=0) goto 9999
|
|
|
|
else
|
|
!
|
|
! Raw aggregation, may take shortcuts
|
|
!
|
|
mlprec_wrk(ilev)%x2l = zzero
|
|
do i=1,n_row
|
|
mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) = &
|
|
& mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) + &
|
|
& mlprec_wrk(ilev-1)%ty(i)
|
|
end do
|
|
end if
|
|
|
|
if (icm == mld_repl_mat_) then
|
|
call psb_sum(ictxt,mlprec_wrk(ilev)%x2l(1:nr2l))
|
|
else if (icm /= mld_distr_mat_) then
|
|
write(0,*) 'Unknown value for baseprecv(2)%iprcparm(mld_coarse_mat_) ', icm
|
|
endif
|
|
|
|
call psb_geaxpby(zone,mlprec_wrk(ilev)%x2l,zzero,mlprec_wrk(ilev)%tx,&
|
|
& baseprecv(ilev)%base_desc,info)
|
|
if(info /=0) goto 9999
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(ilev),mlprec_wrk(ilev)%x2l,&
|
|
& zzero,mlprec_wrk(ilev)%y2l,baseprecv(ilev)%desc_data, 'N',work,info)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
if(ilev < nlev) then
|
|
mlprec_wrk(ilev)%ty = mlprec_wrk(ilev)%x2l
|
|
call psb_spmm(-zone,baseprecv(ilev)%base_a,mlprec_wrk(ilev)%y2l,&
|
|
& zone,mlprec_wrk(ilev)%ty,baseprecv(ilev)%base_desc,info,work=work)
|
|
if(info /=0) goto 9999
|
|
endif
|
|
|
|
enddo
|
|
|
|
|
|
do ilev=nlev-1, 1, -1
|
|
|
|
ismth = baseprecv(ilev+1)%iprcparm(mld_aggr_kind_)
|
|
n_row = psb_cd_get_local_rows(baseprecv(ilev)%base_desc)
|
|
|
|
if (ismth /= mld_no_smooth_) then
|
|
if (ismth == mld_smooth_prol_) &
|
|
& call psb_halo(mlprec_wrk(ilev+1)%y2l,baseprecv(ilev+1)%desc_data,&
|
|
& info,work=work)
|
|
call psb_csmm(zone,baseprecv(ilev+1)%av(mld_sm_pr_),mlprec_wrk(ilev+1)%y2l,&
|
|
& zone,mlprec_wrk(ilev)%y2l,info)
|
|
if(info /=0) goto 9999
|
|
|
|
else
|
|
do i=1, n_row
|
|
mlprec_wrk(ilev)%y2l(i) = mlprec_wrk(ilev)%y2l(i) + &
|
|
& mlprec_wrk(ilev+1)%y2l(baseprecv(ilev+1)%mlia(i))
|
|
enddo
|
|
|
|
end if
|
|
|
|
call psb_spmm(-zone,baseprecv(ilev)%base_a,mlprec_wrk(ilev)%y2l,&
|
|
& zone,mlprec_wrk(ilev)%tx,baseprecv(ilev)%base_desc,info,work=work)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
call mld_baseprec_aply(zone,baseprecv(ilev),mlprec_wrk(ilev)%tx,&
|
|
& zone,mlprec_wrk(ilev)%y2l,baseprecv(ilev)%base_desc, trans, work,info)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
enddo
|
|
|
|
call psb_geaxpby(alpha,mlprec_wrk(1)%y2l,beta,y,&
|
|
& baseprecv(1)%base_desc,info)
|
|
|
|
if(info /=0) goto 9999
|
|
|
|
case default
|
|
|
|
call psb_errpush(4013,name,a_err='wrong smooth_pos',&
|
|
& i_Err=(/baseprecv(2)%iprcparm(mld_smooth_pos_),0,0,0,0/))
|
|
goto 9999
|
|
|
|
end select
|
|
|
|
case default
|
|
call psb_errpush(4013,name,a_err='wrong mltype',&
|
|
& i_Err=(/baseprecv(2)%iprcparm(mld_ml_type_),0,0,0,0/))
|
|
goto 9999
|
|
|
|
end select
|
|
|
|
deallocate(mlprec_wrk)
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 continue
|
|
call psb_errpush(info,name)
|
|
call psb_erractionrestore(err_act)
|
|
if (err_act.eq.psb_act_abort_) then
|
|
call psb_error()
|
|
return
|
|
end if
|
|
return
|
|
|
|
!!$contains
|
|
!!$ subroutine mlprec_wrk_free(wrk)
|
|
!!$ type(psb_mlprec_wrk_type) :: wrk(:)
|
|
!!$ ! This will not be needed when we have allocatables, as
|
|
!!$ ! it is sufficient to deallocate the container, and
|
|
!!$ ! the compiler is supposed to recursively deallocate the
|
|
!!$ ! various components.
|
|
!!$ integer i
|
|
!!$
|
|
!!$ do i=1, size(wrk)
|
|
!!$ if (associated(wrk(i)%tx)) deallocate(wrk(i)%tx)
|
|
!!$ if (associated(wrk(i)%ty)) deallocate(wrk(i)%ty)
|
|
!!$ if (associated(wrk(i)%x2l)) deallocate(wrk(i)%x2l)
|
|
!!$ if (associated(wrk(i)%y2l)) deallocate(wrk(i)%y2l)
|
|
!!$ if (associated(wrk(i)%b2l)) deallocate(wrk(i)%b2l)
|
|
!!$ if (associated(wrk(i)%tty)) deallocate(wrk(i)%tty)
|
|
!!$ end do
|
|
!!$ end subroutine mlprec_wrk_free
|
|
|
|
end subroutine mld_zmlprec_aply
|
|
|