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|
!!$
!!$
!!$ 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 II 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 psb_zmlprc_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 psb_baseprc_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(l_pr_) L factor of ILU preconditioners
! 2.2.: baseprecv(ilev)%av(u_pr_) U factor of ILU preconditioners
! 2.3.: baseprecv(ilev)%av(ap_nd_) Off-diagonal part of A for Jacobi sweeps
! 2.4.: baseprecv(ilev)%av(ac_) Aggregated matrix of level ILEV
! 2.5.: baseprecv(ilev)%av(sm_pr_t_) Smoother prolongator transpose; maps vectors
! (ilev-1) ---> (ilev)
! 2.6.: baseprecv(ilev)%av(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
! of the current level, i.e.: if ILEV=1 then A
! else the aggregated matrix av(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_serial_mod
use psb_descriptor_type
use psb_prec_type
use psb_psblas_mod
use psb_penv_mod
use psb_const_mod
use psb_error_mod
use psb_penv_mod
implicit none
type(psb_desc_type),intent(in) :: desc_data
type(psb_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
complex(kind(1.d0)), allocatable :: tx(:),ty(:),t2l(:),w2l(:),&
& x2l(:),b2l(:),tz(:),tty(:)
character ::diagl, diagu
integer :: ictxt,np,me,i, isz, nrg,nr2l,err_act, iptype, int_err(5)
real(kind(1.d0)) :: omega
real(kind(1.d0)) :: t1, t2, t3, t4, t5, t6, t7, mpi_wtime
logical, parameter :: debug=.false., debugprt=.false.
integer :: ismth, nlev, ilev
external mpi_wtime
character(len=20) :: name, ch_err
type psb_mlprec_wrk_type
complex(kind(1.d0)), pointer :: tx(:)=>null(),ty(:)=>null(),&
& x2l(:)=>null(),y2l(:)=>null(),&
& b2l(:)=>null(),tty(:)=>null()
end type psb_mlprec_wrk_type
type(psb_mlprec_wrk_type), pointer :: mlprec_wrk(:)
interface psb_baseprc_aply
subroutine psb_zbaseprc_aply(alpha,prec,x,beta,y,desc_data,trans,work,info)
use psb_descriptor_type
use psb_prec_type
type(psb_desc_type),intent(in) :: desc_data
type(psb_zbaseprc_type), intent(in) :: prec
complex(kind(1.d0)),intent(inout) :: x(:), y(:)
complex(kind(1.d0)),intent(in) :: alpha,beta
character(len=1) :: trans
complex(kind(1.d0)),target :: work(:)
integer, intent(out) :: info
end subroutine psb_zbaseprc_aply
end interface
name='psb_mlprc_aply'
info = 0
call psb_erractionsave(err_act)
ictxt=desc_data%matrix_data(psb_ctxt_)
call psb_info(ictxt, me, np)
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(ml_type_))
case(no_ml_)
! Should not really get here.
call psb_errpush(4010,name,a_err='no_ml_ in mlprc_aply?')
goto 9999
case(add_ml_prec_)
!
! Additive is very simple.
! 1. X(1) = Xext
! 2. DO ILEV=2,NLEV
! X(ILEV) = AV(PR_SM_T_)*X(ILEV-1)
! 3. Y(ILEV) = (K(ILEV)**(-1))*X(ILEV)
! 4. DO ILEV=NLEV-1,1,-1
! Y(ILEV) = AV(PR_SM_)*Y(ILEV+1)
! 5. Yext = beta*Yext + Y(1)
!
! Note: level numbering reversed wrt ref. DD, i.e.
! 1..NLEV <=> (j) <-> 0
call psb_baseprc_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)))
mlprec_wrk(1)%x2l(:) = x(:)
do ilev = 2, nlev
n_row = baseprecv(ilev-1)%base_desc%matrix_data(psb_n_row_)
n_col = baseprecv(ilev-1)%desc_data%matrix_data(psb_n_col_)
nr2l = baseprecv(ilev)%desc_data%matrix_data(psb_n_col_)
nrg = baseprecv(ilev)%desc_data%matrix_data(psb_n_row_)
allocate(mlprec_wrk(ilev)%x2l(nr2l),mlprec_wrk(ilev)%y2l(nr2l),&
& mlprec_wrk(ilev)%tx(max(n_row,n_col)),&
& mlprec_wrk(ilev)%ty(max(n_row,n_col)), stat=info)
if (info /= 0) then
call psb_errpush(4010,name,a_err='Allocate')
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(smth_kind_)
if (ismth /= no_smth_) then
!
! Smoothed aggregation
!
if (baseprecv(ilev)%iprcparm(glb_smth_) >0) then
call psb_halo(mlprec_wrk(ilev-1)%x2l,baseprecv(ilev-1)%base_desc,&
& info,work=work)
if(info /=0) goto 9999
else
mlprec_wrk(ilev-1)%x2l(n_row+1:max(n_row,n_col)) = zzero
end if
call psb_csmm(zone,baseprecv(ilev)%av(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 (baseprecv(ilev)%iprcparm(coarse_mat_)==mat_repl_) Then
call psb_sum(ictxt,mlprec_wrk(ilev)%x2l(1:nrg))
else if (baseprecv(ilev)%iprcparm(coarse_mat_) /= mat_distr_) Then
write(0,*) 'Unknown value for baseprecv(2)%iprcparm(coarse_mat_) ',&
& baseprecv(ilev)%iprcparm(coarse_mat_)
endif
call psb_baseprc_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
ismth=baseprecv(ilev)%iprcparm(smth_kind_)
n_row = baseprecv(ilev-1)%base_desc%matrix_data(psb_n_row_)
n_col = baseprecv(ilev-1)%desc_data%matrix_data(psb_n_col_)
nr2l = baseprecv(ilev)%desc_data%matrix_data(psb_n_col_)
nrg = baseprecv(ilev)%desc_data%matrix_data(psb_n_row_)
if (ismth /= no_smth_) then
call psb_csmm(zone,baseprecv(ilev)%av(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(mult_ml_prec_)
!
! Multiplicative multilevel
! Pre/post smoothing versions.
!
select case(baseprecv(2)%iprcparm(smth_pos_))
case(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 + Y(1)
!
! Note: level numbering reversed wrt ref. DD, i.e.
! 1..NLEV <=> (j) <-> 0
!
! Also: post smoothing is not spelled out in detail in DD.
!
!
n_col = desc_data%matrix_data(psb_n_col_)
nr2l = baseprecv(1)%desc_data%matrix_data(psb_n_col_)
allocate(mlprec_wrk(1)%x2l(nr2l),mlprec_wrk(1)%y2l(nr2l), &
& mlprec_wrk(1)%tx(nr2l), 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 = baseprecv(ilev-1)%base_desc%matrix_data(psb_n_row_)
n_col = baseprecv(ilev-1)%desc_data%matrix_data(psb_n_col_)
nr2l = baseprecv(ilev)%desc_data%matrix_data(psb_n_col_)
nrg = baseprecv(ilev)%desc_data%matrix_data(psb_n_row_)
ismth = baseprecv(ilev)%iprcparm(smth_kind_)
allocate(mlprec_wrk(ilev)%tx(nr2l),mlprec_wrk(ilev)%y2l(nr2l),&
& mlprec_wrk(ilev)%x2l(nr2l), stat=info)
if (info /= 0) then
call psb_errpush(4010,name,a_err='Allocate')
goto 9999
end if
mlprec_wrk(ilev)%x2l(:) = zzero
mlprec_wrk(ilev)%y2l(:) = zzero
mlprec_wrk(ilev)%tx(:) = zzero
if (ismth /= no_smth_) then
!
! Smoothed aggregation
!
if (baseprecv(ilev)%iprcparm(glb_smth_) >0) then
call psb_halo(mlprec_wrk(ilev-1)%x2l,&
& baseprecv(ilev-1)%base_desc,info,work=work)
if(info /=0) goto 9999
else
mlprec_wrk(ilev-1)%x2l(n_row+1:max(n_row,n_col)) = zzero
end if
call psb_csmm(zone,baseprecv(ilev)%av(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 (baseprecv(ilev)%iprcparm(coarse_mat_)==mat_repl_) Then
call psb_sum(ictxt,mlprec_wrk(ilev)%x2l(1:nrg))
else if (baseprecv(ilev)%iprcparm(coarse_mat_) /= mat_distr_) Then
write(0,*) 'Unknown value for baseprecv(2)%iprcparm(coarse_mat_) ',&
& baseprecv(ilev)%iprcparm(coarse_mat_)
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 psb_baseprc_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(smth_kind_)
if (ismth /= no_smth_) then
if (ismth == smth_omg_) &
& call psb_halo(mlprec_wrk(ilev+1)%y2l,baseprecv(ilev+1)%desc_data,&
& info,work=work)
call psb_csmm(zone,baseprecv(ilev+1)%av(sm_pr_),mlprec_wrk(ilev+1)%y2l,&
& zzero,mlprec_wrk(ilev)%y2l,info)
if(info /=0) goto 9999
else
n_row = baseprecv(ilev)%base_desc%matrix_data(psb_n_row_)
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 psb_baseprc_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(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 + Y(1)
!
! Note: level numbering reversed wrt ref. DD, i.e.
! 1..NLEV <=> (j) <-> 0
!
!
n_col = desc_data%matrix_data(psb_n_col_)
nr2l = baseprecv(1)%desc_data%matrix_data(psb_n_col_)
allocate(mlprec_wrk(1)%x2l(nr2l),mlprec_wrk(1)%y2l(nr2l), &
& mlprec_wrk(1)%tx(nr2l), stat=info)
if (info /= 0) then
call psb_errpush(4010,name,a_err='Allocate')
goto 9999
end if
mlprec_wrk(1)%y2l(:) = zzero
mlprec_wrk(1)%x2l(:) = x
call psb_baseprc_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 = baseprecv(ilev-1)%base_desc%matrix_data(psb_n_row_)
n_col = baseprecv(ilev-1)%desc_data%matrix_data(psb_n_col_)
nr2l = baseprecv(ilev)%desc_data%matrix_data(psb_n_col_)
nrg = baseprecv(ilev)%desc_data%matrix_data(psb_n_row_)
ismth = baseprecv(ilev)%iprcparm(smth_kind_)
allocate(mlprec_wrk(ilev)%tx(nr2l),mlprec_wrk(ilev)%y2l(nr2l),&
& mlprec_wrk(ilev)%x2l(nr2l), stat=info)
if (info /= 0) then
call psb_errpush(4010,name,a_err='Allocate')
goto 9999
end if
mlprec_wrk(ilev)%x2l(:) = zzero
mlprec_wrk(ilev)%y2l(:) = zzero
mlprec_wrk(ilev)%tx(:) = zzero
if (ismth /= no_smth_) then
!
!Smoothed Aggregation
!
if (baseprecv(ilev)%iprcparm(glb_smth_) >0) then
call psb_halo(mlprec_wrk(ilev-1)%tx,baseprecv(ilev-1)%base_desc,&
& info,work=work)
if(info /=0) goto 9999
else
mlprec_wrk(ilev-1)%tx(n_row+1:max(n_row,n_col)) = zzero
end if
call psb_csmm(zone,baseprecv(ilev)%av(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 (baseprecv(ilev)%iprcparm(coarse_mat_)==mat_repl_) then
call psb_sum(ictxt,mlprec_wrk(ilev)%x2l(1:nrg))
else if (baseprecv(ilev)%iprcparm(coarse_mat_) /= mat_distr_) then
write(0,*) 'Unknown value for baseprecv(2)%iprcparm(coarse_mat_) ',&
& baseprecv(ilev)%iprcparm(coarse_mat_)
endif
call psb_baseprc_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(smth_kind_)
if (ismth /= no_smth_) then
if (ismth == smth_omg_) &
& call psb_halo(mlprec_wrk(ilev+1)%y2l,&
& baseprecv(ilev+1)%desc_data,info,work=work)
call psb_csmm(zone,baseprecv(ilev+1)%av(sm_pr_),mlprec_wrk(ilev+1)%y2l,&
& zone,mlprec_wrk(ilev)%y2l,info)
if(info /=0) goto 9999
else
n_row = baseprecv(ilev+1)%base_desc%matrix_data(psb_n_row_)
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(smooth_both_)
!
! 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 + Y(1)
!
! Note: level numbering reversed wrt ref. DD, i.e.
! 1..NLEV <=> (j) <-> 0
!
!
n_col = desc_data%matrix_data(psb_n_col_)
nr2l = baseprecv(1)%desc_data%matrix_data(psb_n_col_)
allocate(mlprec_wrk(1)%x2l(nr2l),mlprec_wrk(1)%y2l(nr2l), &
& mlprec_wrk(1)%ty(nr2l), mlprec_wrk(1)%tx(nr2l), stat=info)
mlprec_wrk(1)%x2l(:) = zzero
mlprec_wrk(1)%y2l(:) = zzero
mlprec_wrk(1)%tx(:) = zzero
mlprec_wrk(1)%ty(:) = zzero
if (info /= 0) then
call psb_errpush(4010,name,a_err='Allocate')
goto 9999
end if
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 psb_baseprc_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 = baseprecv(ilev-1)%base_desc%matrix_data(psb_n_row_)
n_col = baseprecv(ilev-1)%desc_data%matrix_data(psb_n_col_)
nr2l = baseprecv(ilev)%desc_data%matrix_data(psb_n_col_)
nrg = baseprecv(ilev)%desc_data%matrix_data(psb_n_row_)
ismth=baseprecv(ilev)%iprcparm(smth_kind_)
allocate(mlprec_wrk(ilev)%ty(nr2l),mlprec_wrk(ilev)%y2l(nr2l),&
& mlprec_wrk(ilev)%x2l(nr2l), stat=info)
mlprec_wrk(ilev)%x2l(:) = zzero
mlprec_wrk(ilev)%y2l(:) = zzero
mlprec_wrk(ilev)%tx(:) = zzero
mlprec_wrk(ilev)%ty(:) = zzero
if (info /= 0) then
call psb_errpush(4010,name,a_err='Allocate')
goto 9999
end if
if (ismth /= no_smth_) then
!
!Smoothed Aggregation
!
if (baseprecv(ilev)%iprcparm(glb_smth_) >0) then
call psb_halo(mlprec_wrk(ilev-1)%ty,baseprecv(ilev-1)%base_desc,&
& info,work=work)
if(info /=0) goto 9999
else
mlprec_wrk(ilev-1)%ty(n_row+1:max(n_row,n_col)) = zzero
end if
call psb_csmm(zone,baseprecv(ilev)%av(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 (baseprecv(ilev)%iprcparm(coarse_mat_)==mat_repl_) then
call psb_sum(ictxt,mlprec_wrk(ilev)%x2l(1:nrg))
else if (baseprecv(ilev)%iprcparm(coarse_mat_) /= mat_distr_) then
write(0,*) 'Unknown value for baseprecv(2)%iprcparm(coarse_mat_) ',&
& baseprecv(ilev)%iprcparm(coarse_mat_)
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 psb_baseprc_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(smth_kind_)
if (ismth /= no_smth_) then
if (ismth == smth_omg_) &
& call psb_halo(mlprec_wrk(ilev+1)%y2l,baseprecv(ilev+1)%desc_data,&
& info,work=work)
call psb_csmm(zone,baseprecv(ilev+1)%av(sm_pr_),mlprec_wrk(ilev+1)%y2l,&
& zone,mlprec_wrk(ilev)%y2l,info)
if(info /=0) goto 9999
else
n_row = baseprecv(ilev)%base_desc%matrix_data(psb_n_row_)
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 psb_baseprc_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(smth_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(ml_type_),0,0,0,0/))
goto 9999
end select
call mlprec_wrk_free(mlprec_wrk)
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.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 psb_zmlprc_aply
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