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!!$
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!!$
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!!$ MD2P4
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!!$ Multilevel Domain Decomposition Parallel Preconditioner Package for PSBLAS
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!!$ for
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!!$ Parallel Sparse BLAS v2.0
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!!$ (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata
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!!$ Alfredo Buttari University of Rome Tor Vergata
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!!$ Daniela di Serafino Second University of Naples
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!!$ Pasqua D'Ambra ICAR-CNR
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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 MD2P4 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 MD2P4 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 psb_zmlprc_aply(alpha,baseprecv,x,beta,y,desc_data,trans,work,info)
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!
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! Compute Y <- beta*Y + alpha*K^-1 X
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! where K is a multilevel preconditioner stored in baseprecv
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!
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! cfr.: Smith, Biorstad & Gropp
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! Domain Decomposition
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! Cambridge Univ. Press
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!
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! To each level I there corresponds a matrix A(I) and a preconditioner K(I)
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!
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! A notational difference: in the DD reference above the preconditioner for
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! a given level K(I) is written out as a sum over the subdomains
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!
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! SUM_k(R_k^T A_k R_k)
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!
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! whereas in this code the sum is implicit in the parallelization,
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! i.e. each process takes care of one subdomain, and for each level we have
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! as many subdomains as there are processes (except for the coarsest level where
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! we might have a replicated index space). Thus the sum apparently disappears
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! from our code, but only apparently, because it is implicit in the call
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! to psb_baseprc_aply.
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!
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! A bit of description of the baseprecv(:) data structure:
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! 1. Number of levels = NLEV = size(baseprecv(:))
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! 2. baseprecv(ilev)%av(:) sparse matrices needed for the current level.
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! Includes:
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! 2.1.: baseprecv(ilev)%av(l_pr_) L factor of ILU preconditioners
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! 2.2.: baseprecv(ilev)%av(u_pr_) U factor of ILU preconditioners
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! 2.3.: baseprecv(ilev)%av(ap_nd_) Off-diagonal part of A for Jacobi sweeps
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! 2.4.: baseprecv(ilev)%av(ac_) Aggregated matrix of level ILEV
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! 2.5.: baseprecv(ilev)%av(sm_pr_t_) Smoother prolongator transpose; maps vectors
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! (ilev-1) ---> (ilev)
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! 2.6.: baseprecv(ilev)%av(sm_pr_) Smoother prolongator; maps vectors
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! (ilev) ---> (ilev-1)
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! Shouldn't we keep just one of them and handle transpose in the sparse BLAS? maybe
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!
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! 3. baseprecv(ilev)%desc_data comm descriptor for level ILEV
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! 4. baseprecv(ilev)%base_a Pointer (really a pointer!) to the base matrix
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! of the current level, i.e.: if ILEV=1 then A
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! else the aggregated matrix av(ac_); so we have
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! a unified treatment of residuals. Need this to
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! avoid passing explicitly matrix A to the
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! outer prec. routine
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! 5. baseprecv(ilev)%mlia The aggregation map from (ilev-1)-->(ilev)
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! if no smoother, it is used instead of sm_pr_
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! 6. baseprecv(ilev)%nlaggr Number of aggregates on the various procs.
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!
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use psb_base_mod
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use psb_prec_mod, mld_protect_name => psb_zmlprc_aply
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implicit none
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type(psb_desc_type),intent(in) :: desc_data
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type(psb_zbaseprc_type), intent(in) :: baseprecv(:)
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complex(kind(1.d0)),intent(in) :: alpha,beta
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complex(kind(1.d0)),intent(inout) :: x(:), y(:)
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character :: trans
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complex(kind(1.d0)),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
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character ::diagl, diagu
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integer :: ictxt,np,me,i, isz, nrg,nr2l,err_act, iptype, int_err(5)
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real(kind(1.d0)) :: omega
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real(kind(1.d0)) :: t1, t2, t3, t4, t5, t6, t7
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logical, parameter :: debug=.false., debugprt=.false.
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integer :: ismth, nlev, ilev
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character(len=20) :: name, ch_err
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type psb_mlprec_wrk_type
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complex(kind(1.d0)), allocatable :: tx(:),ty(:),x2l(:),y2l(:)
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end type psb_mlprec_wrk_type
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type(psb_mlprec_wrk_type), allocatable :: mlprec_wrk(:)
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name='psb_zmlprc_aply'
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info = 0
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call psb_erractionsave(err_act)
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ictxt=desc_data%matrix_data(psb_ctxt_)
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call psb_info(ictxt, me, np)
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nlev = size(baseprecv)
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allocate(mlprec_wrk(nlev),stat=info)
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if (info /= 0) then
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call psb_errpush(4010,name,a_err='Allocate')
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goto 9999
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end if
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select case(baseprecv(2)%iprcparm(ml_type_))
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case(no_ml_)
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! Should not really get here.
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call psb_errpush(4010,name,a_err='no_ml_ in mlprc_aply?')
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goto 9999
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case(add_ml_prec_)
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!
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! Additive is very simple.
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! 1. X(1) = Xext
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! 2. DO ILEV=2,NLEV
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! X(ILEV) = AV(PR_SM_T_)*X(ILEV-1)
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! Y(ILEV) = (K(ILEV)**(-1))*X(ILEV)
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! 3. DO ILEV=NLEV-1,1,-1
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! Y(ILEV) = AV(PR_SM_)*Y(ILEV+1)
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! 4. Yext = beta*Yext + alpha*Y(1)
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!
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! Note: level numbering reversed wrt ref. DD, i.e.
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! 1..NLEV <=> (j) <-> 0
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call psb_baseprc_aply(alpha,baseprecv(1),x,beta,y,&
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& baseprecv(1)%base_desc,trans,work,info)
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if(info /=0) goto 9999
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allocate(mlprec_wrk(1)%x2l(size(x)),mlprec_wrk(1)%y2l(size(y)))
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mlprec_wrk(1)%x2l(:) = x(:)
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do ilev = 2, nlev
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n_row = baseprecv(ilev-1)%base_desc%matrix_data(psb_n_row_)
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n_col = baseprecv(ilev-1)%desc_data%matrix_data(psb_n_col_)
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nr2l = baseprecv(ilev)%desc_data%matrix_data(psb_n_col_)
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nrg = baseprecv(ilev)%desc_data%matrix_data(psb_n_row_)
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|
allocate(mlprec_wrk(ilev)%x2l(nr2l),mlprec_wrk(ilev)%y2l(nr2l),&
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|
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& mlprec_wrk(ilev)%tx(max(n_row,n_col)),&
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|
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& mlprec_wrk(ilev)%ty(max(n_row,n_col)), stat=info)
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|
|
if (info /= 0) then
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|
|
call psb_errpush(4010,name,a_err='Allocate')
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|
|
goto 9999
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|
|
end if
|
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|
|
mlprec_wrk(ilev)%x2l(:) = zzero
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|
mlprec_wrk(ilev)%y2l(:) = zzero
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mlprec_wrk(ilev)%tx(1:n_row) = mlprec_wrk(ilev-1)%x2l(1:n_row)
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mlprec_wrk(ilev)%tx(n_row+1:max(n_row,n_col)) = zzero
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mlprec_wrk(ilev)%ty(:) = zzero
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|
ismth=baseprecv(ilev)%iprcparm(smth_kind_)
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if (ismth /= no_smth_) then
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!
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! Smoothed aggregation
|
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!
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|
|
if (baseprecv(ilev)%iprcparm(glb_smth_) >0) then
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|
call psb_halo(mlprec_wrk(ilev-1)%x2l,baseprecv(ilev-1)%base_desc,&
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& info,work=work)
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if(info /=0) goto 9999
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else
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mlprec_wrk(ilev-1)%x2l(n_row+1:max(n_row,n_col)) = zzero
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|
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end if
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|
|
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|
|
|
|
call psb_csmm(zone,baseprecv(ilev)%av(sm_pr_t_),mlprec_wrk(ilev-1)%x2l,&
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|
|
& zzero,mlprec_wrk(ilev)%x2l,info)
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if(info /=0) goto 9999
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|
|
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else
|
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|
|
|
!
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|
|
|
|
! Raw aggregation, may take shortcut
|
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|
|
|
!
|
|
|
|
|
do i=1,n_row
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|
|
|
mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) = &
|
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|
|
|
& mlprec_wrk(ilev)%x2l(baseprecv(ilev)%mlia(i)) + &
|
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|
|
& mlprec_wrk(ilev-1)%x2l(i)
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end do
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|
|
|
|
|
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end if
|
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|
|
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|
|
|
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|
if (baseprecv(ilev)%iprcparm(coarse_mat_)==mat_repl_) Then
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|
|
|
call psb_sum(ictxt,mlprec_wrk(ilev)%x2l(1:nrg))
|
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|
|
|
else if (baseprecv(ilev)%iprcparm(coarse_mat_) /= mat_distr_) Then
|
|
|
|
|
write(0,*) 'Unknown value for baseprecv(2)%iprcparm(coarse_mat_) ',&
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|
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& baseprecv(ilev)%iprcparm(coarse_mat_)
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endif
|
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|
|
|
|
|
|
|
call psb_baseprc_aply(zone,baseprecv(ilev),&
|
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|
|
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& mlprec_wrk(ilev)%x2l,zzero,mlprec_wrk(ilev)%y2l,&
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& baseprecv(ilev)%desc_data, 'N',work,info)
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|
|
|
|
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enddo
|
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|
|
|
|
|
|
|
do ilev =nlev,2,-1
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|
|
|
|
|
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ismth=baseprecv(ilev)%iprcparm(smth_kind_)
|
|
|
|
|
n_row = baseprecv(ilev-1)%base_desc%matrix_data(psb_n_row_)
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|
|
|
n_col = baseprecv(ilev-1)%desc_data%matrix_data(psb_n_col_)
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|
nr2l = baseprecv(ilev)%desc_data%matrix_data(psb_n_col_)
|
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|
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nrg = baseprecv(ilev)%desc_data%matrix_data(psb_n_row_)
|
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|
|
|
|
|
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if (ismth /= no_smth_) then
|
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|
|
|
|
|
|
|
|
call psb_csmm(zone,baseprecv(ilev)%av(sm_pr_),mlprec_wrk(ilev)%y2l,&
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& zone,mlprec_wrk(ilev-1)%y2l,info)
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if(info /=0) goto 9999
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|
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else
|
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|
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|
|
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|
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do i=1, n_row
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mlprec_wrk(ilev-1)%y2l(i) = mlprec_wrk(ilev-1)%y2l(i) + &
|
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|
|
& mlprec_wrk(ilev)%y2l(baseprecv(ilev)%mlia(i))
|
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|
|
|
enddo
|
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|
|
|
|
|
|
|
|
end if
|
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|
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|
end do
|
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|
|
|
|
|
|
|
|
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 + 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.
|
|
|
|
|
!
|
|
|
|
|
!
|
|
|
|
|
|
|
|
|
|
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 + alpha*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 + alpha*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
|
|
|
|
|
|
|
|
|
|
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 psb_zmlprc_aply
|
|
|
|
|
|
