!!$ !!$ !!$ MLD2P4 version 1.0 !!$ MultiLevel Domain Decomposition Parallel Preconditioners Package !!$ based on PSBLAS (Parallel Sparse BLAS version 2.2) !!$ !!$ (C) Copyright 2008 !!$ !!$ Salvatore Filippone University of Rome Tor Vergata !!$ Alfredo Buttari University of Rome Tor Vergata !!$ Pasqua D'Ambra ICAR-CNR, Naples !!$ Daniela di Serafino Second University of Naples !!$ !!$ 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. 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File mld_csub_aply.f90 ! ! Subroutine: mld_csub_aply ! Version: complex ! ! This routine computes ! ! Y = beta*Y + alpha*op(K^(-1))*X, ! ! where ! - K is a suitable matrix, as specified below, ! - op(K^(-1)) is K^(-1) or its transpose, according to the value of the ! argument trans, ! - X and Y are vectors, ! - alpha and beta are scalars. ! ! Depending on K, alpha and beta (and on the communication descriptor desc_data ! - see the arguments below), the above computation may correspond to one of ! the following tasks: ! ! 1. Application of a block-Jacobi preconditioner associated to a matrix A ! distributed among the processes. Here K is the preconditioner, op(K^(-1)) ! = K^(-1), alpha = 1 and beta = 0. ! ! 2. Application of block-Jacobi sweeps to compute an approximate solution of ! a linear system ! A*Y = X, ! ! distributed among the processes (note that a single block-Jacobi sweep, ! with null starting guess, corresponds to the application of a block-Jacobi ! preconditioner). Here K^(-1) denotes the iteration matrix of the ! block-Jacobi solver, op(K^(-1)) = K^(-1), alpha = 1 and beta = 0. ! ! 3. Solution, through the LU factorization, of a linear system ! ! A*Y = X, ! ! distributed among the processes. Here K = L*U = A, op(K^(-1)) = K^(-1), ! alpha = 1 and beta = 0. ! ! 4. (Approximate) solution, through the LU or incomplete LU factorization, of ! a linear system ! A*Y = X, ! ! replicated on the processes. Here K = L*U = A or K = L*U ~ A, op(K^(-1)) = ! K^(-1), alpha = 1 and beta = 0. ! ! The block-Jacobi preconditioner or solver and the L and U factors of the LU ! or ILU factorizations have been built by the routine mld_fact_bld and stored ! into the 'base preconditioner' data structure prec. See mld_fact_bld for more ! details. ! ! This routine is used by mld_as_aply, to apply a 'base' block-Jacobi or ! Additive Schwarz (AS) preconditioner at any level of a multilevel preconditioner, ! or a block-Jacobi or LU or ILU solver at the coarsest level of a multilevel ! preconditioner. ! ! Tasks 1, 3 and 4 may be selected when prec%iprcparm(mld_smoother_sweeps_) = 1, ! while task 2 is selected when prec%iprcparm(mld_smoother_sweeps_) > 1. Furthermore ! Tasks 1, 2 and 3 may be performed when the matrix A is ! distributed among the processes (prec%iprcparm(mld_coarse_mat_) = mld_distr_mat_), ! while task 4 may be performed when A is replicated on the processes ! (prec%iprcparm(mld_coarse_mat_) = mld_repl_mat_). Note that the matrix A is ! distributed among the processes at each level of the multilevel preconditioner, ! except the coarsest one, where it may be either distributed or replicated on ! the processes. Tasks 2, 3 and 4 are performed only at the coarsest level. ! Note also that this routine manages implicitly the fact that ! the matrix is distributed or replicated, i.e. it does not make any explicit ! reference to the value of prec%iprcparm(mld_coarse_mat_). ! ! Arguments: ! ! alpha - complex(psb_spk_), input. ! The scalar alpha. ! prec - type(mld_cbaseprec_type), input. ! The 'base preconditioner' data structure containing the local ! part of the preconditioner or solver. ! x - complex(psb_spk_), dimension(:), input. ! The local part of the vector X. ! beta - complex(psb_spk_), input. ! The scalar beta. ! y - complex(psb_spk_), dimension(:), input/output. ! The local part of the vector Y. ! desc_data - type(psb_desc_type), input. ! The communication descriptor associated to the matrix to be ! preconditioned or 'inverted'. ! trans - character(len=1), input. ! If trans='N','n' then op(K^(-1)) = K^(-1); ! if trans='T','t' then op(K^(-1)) = K^(-T) (transpose of K^(-1)). ! if trans='C','c' then op(K^(-1)) = K^(-C) (transpose conjugate of K^(-1)). ! If prec%iprcparm(mld_smoother_sweeps_) > 1, the value of trans provided ! in input is ignored. ! work - complex(psb_spk_), dimension (:), target. ! Workspace. Its size must be at least 4*psb_cd_get_local_cols(desc_data). ! info - integer, output. ! Error code. ! subroutine mld_csub_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_inner_mod, mld_protect_name => mld_csub_aply implicit none ! Arguments type(psb_desc_type), intent(in) :: desc_data type(mld_cbaseprc_type), intent(in) :: prec complex(psb_spk_),intent(in) :: x(:) complex(psb_spk_),intent(inout) :: y(:) complex(psb_spk_),intent(in) :: alpha,beta character(len=1), intent(in) :: trans complex(psb_spk_),target, intent(inout) :: work(:) integer, intent(out) :: info ! Local variables integer :: n_row,n_col complex(psb_spk_), pointer :: ww(:), aux(:), tx(:),ty(:) integer :: ictxt,np,me,i, err_act character(len=20) :: name character :: trans_ name='mld_csub_aply' info = 0 call psb_erractionsave(err_act) ictxt=psb_cd_get_context(desc_data) call psb_info(ictxt, me, np) trans_ = psb_toupper(trans) select case(trans_) case('N') case('T','C') case default call psb_errpush(40,name) goto 9999 end select n_row = psb_cd_get_local_rows(desc_data) n_col = psb_cd_get_local_cols(desc_data) if (n_col <= size(work)) then ww => work(1:n_col) if ((4*n_col+n_col) <= size(work)) then aux => work(n_col+1:) else allocate(aux(4*n_col),stat=info) if (info /= 0) then info=4025 call psb_errpush(info,name,i_err=(/4*n_col,0,0,0,0/),& & a_err='complex(psb_spk_)') goto 9999 end if endif else allocate(ww(n_col),aux(4*n_col),stat=info) if (info /= 0) then info=4025 call psb_errpush(info,name,i_err=(/5*n_col,0,0,0,0/),& & a_err='complex(psb_spk_)') goto 9999 end if endif if (prec%iprcparm(mld_smoother_sweeps_) == 1) then call mld_sub_solve(alpha,prec,x,beta,y,desc_data,trans_,aux,info) if (info /= 0) then call psb_errpush(4001,name,a_err='Error in sub_aply Jacobi Sweeps = 1') goto 9999 endif else if (prec%iprcparm(mld_smoother_sweeps_) > 1) then ! ! ! Apply prec%iprcparm(mld_smoother_sweeps_) sweeps of a block-Jacobi solver ! to compute an approximate solution of a linear system. ! if (size(prec%av) < mld_ap_nd_) then info = 4011 goto 9999 endif allocate(tx(n_col),ty(n_col),stat=info) if (info /= 0) then info=4025 call psb_errpush(info,name,i_err=(/2*n_col,0,0,0,0/),& & a_err='complex(psb_spk_)') goto 9999 end if tx = czero ty = czero do i=1, prec%iprcparm(mld_smoother_sweeps_) ! ! Compute Y(j+1) = D^(-1)*(X-ND*Y(j)), where D and ND are the ! block diagonal part and the remaining part of the local matrix ! and Y(j) is the approximate solution at sweep j. ! ty(1:n_row) = x(1:n_row) call psb_spmm(-cone,prec%av(mld_ap_nd_),tx,cone,ty,& & prec%desc_data,info,work=aux,trans=trans_) if (info /=0) exit call mld_sub_solve(cone,prec,ty,czero,tx,desc_data,trans_,aux,info) if (info /=0) exit end do if (info == 0) call psb_geaxpby(alpha,tx,beta,y,desc_data,info) if (info /= 0) then info=4001 call psb_errpush(info,name,a_err='subsolve with Jacobi sweeps > 1') goto 9999 end if deallocate(tx,ty,stat=info) if (info /= 0) then info=4001 call psb_errpush(info,name,a_err='final cleanup with Jacobi sweeps > 1') goto 9999 end if else info = 10 call psb_errpush(info,name,& & i_err=(/2,prec%iprcparm(mld_smoother_sweeps_),0,0,0/)) goto 9999 endif if (n_col <= size(work)) then if ((4*n_col+n_col) <= size(work)) then else deallocate(aux) endif else deallocate(ww,aux) endif call psb_erractionrestore(err_act) return 9999 continue call psb_erractionrestore(err_act) if (err_act.eq.psb_act_abort_) then call psb_error() return end if return end subroutine mld_csub_aply