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600 lines
21 KiB
Fortran
600 lines
21 KiB
Fortran
!!$
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!!$
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!!$ MLD2P4
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!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
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!!$ based on PSBLAS (Parallel Sparse BLAS v.2.0)
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!!$
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!!$ (C) Copyright 2007 Alfredo Buttari University of Rome Tor Vergata
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!!$ Pasqua D'Ambra ICAR-CNR, Naples
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!!$ Daniela di Serafino Second University of Naples
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!!$ Salvatore Filippone University of Rome Tor Vergata
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!!$
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!!$ Redistribution and use in source and binary forms, with or without
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!!$ modification, are permitted provided that the following conditions
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!!$ are met:
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!!$ 1. Redistributions of source code must retain the above copyright
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!!$ notice, this list of conditions and the following disclaimer.
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!!$ 2. Redistributions in binary form must reproduce the above copyright
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!!$ notice, this list of conditions, and the following disclaimer in the
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!!$ documentation and/or other materials provided with the distribution.
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!!$ 3. The name of the MLD2P4 group or the names of its contributors may
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!!$ not be used to endorse or promote products derived from this
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!!$ software without specific written permission.
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!!$
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!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
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!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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!!$ POSSIBILITY OF SUCH DAMAGE.
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!!$
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!!$
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! File mld_zbjac_aply.f90
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!
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! Subroutine: mld_zbjac_aply
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! Version: complex
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!
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! This routine computes
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!
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! Y = beta*Y + alpha*op(K^(-1))*X,
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!
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! where
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! - K is a suitable matrix, as specified below,
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! - op(K^(-1)) is K^(-1) or its transpose, according to the value of trans,
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! - X and Y are vectors,
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! - alpha and beta are scalars.
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!
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! Depending on K, alpha, beta (and on the communication descriptor desc_data
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! - see the arguments below), the above computation may correspond to one of
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! the following tasks:
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!
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! 1. Application of a block-Jacobi preconditioner associated to a matrix A
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! distributed among the processes. Here K is the preconditioner, op(K^(-1))
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! = K^(-1), alpha = 1 and beta = 0.
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!
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! 2. Application of block-Jacobi sweeps to compute an approximate solution of
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! a linear system
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! A*Y = X,
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!
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! distributed among the processes (note that a single block-Jacobi sweep,
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! with null starting guess, corresponds to the application of a block-Jacobi
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! preconditioner). Here K^(-1) denotes the iteration matrix of the
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! block-Jacobi solver, op(K^(-1)) = K^(-1), alpha = 1 and beta = 0.
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!
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! 3. Solution, through the LU factorization, of a linear system
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!
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! A*Y = X,
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!
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! distributed among the processes. Here K = L*U = A, op(K^(-1)) = K^(-1),
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! alpha = 1 and beta = 0.
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!
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! 4. (Approximate) solution, through the LU or incomplete LU factorization, of
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! a linear system
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! A*Y = X,
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!
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! replicated on the processes. Here K = L*U = A or K = L*U ~ A, op(K^(-1)) =
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! K^(-1), alpha = 1 and beta = 0.
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!
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! The block-Jacobi preconditioner or solver and the L and U factors of the LU
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! or ILU factorizations have been built by the routine mld_dbjac_bld and stored
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! into the 'base preconditioner' data structure prec. See mld_dbjac_bld for more
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! details.
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!
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! This routine is used by mld_dbaseprec_aply, to apply a 'base' block-Jacobi or
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! Additive Schwarz (AS) preconditioner at any level of a multilevel preconditioner,
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! or a block-Jacobi or LU or ILU solver at the coarsest level of a multilevel
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! preconditioner.
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!
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! Inside mld_dbaseprec_aply, tasks 1, 3 and 4 may be selected if
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! prec%iprcparm(smooth_sweeps_) = 1, while task 2 if prec%iprcparm(smooth_sweeps_)
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! > 1. Furthermore, tasks 1, 2 and 3 may be performed if the matrix A is
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! distributed among the processes (prec%iprcparm(mld_coarse_mat_) = mld_distr_mat_),
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! while task 4 may be performed if A is replicated on the processes
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! (prec%iprcparm(mld_coarse_mat_) = mld_repl_mat_). Note that the matrix A is
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! distributed among the processes at each level of the multilevel preconditioner,
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! except the coarsest one, where it may be either distributed or replicated on
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! the processes. Furthermore, the tasks 2, 3 and 4 are performed only at the
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! coarsest level. Note also that this routine manages implicitly the fact that
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! the matrix is distributed or replicated, i.e. it does not make any explicit
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! reference to the value of prec%iprcparm(mld_coarse_mat_).
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!
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!
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! Arguments:
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!
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! alpha - complex(kind(0.d0)), input.
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! The scalar alpha.
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! prec - type(mld_zbaseprec_type), input.
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! The 'base preconditioner' data structure containing the local
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! part of the preconditioner or solver.
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! x - complex(kind(0.d0)), dimension(:), input.
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! The local part of the vector X.
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! beta - complex(kind(0.d0)), input.
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! The scalar beta.
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! y - complex(kind(0.d0)), dimension(:), input/output.
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! The local part of the vector Y.
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! desc_data - type(psb_desc_type), input.
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! The communication descriptor associated to the matrix to be
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! preconditioned or 'inverted'.
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! trans - character(len=1), input.
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! If trans='N','n' then op(K^(-1)) = K^(-1);
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! if trans='T','t' then op(K^(-1)) = K^(-T) (transpose of K^(-1)).
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! If prec%iprcparm(smooth_sweeps_) > 1, the value of trans provided
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! in input is ignored.
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! work - complex(kind(0.d0)), dimension (:), target.
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! Workspace. Its size must be at least 4*psb_cd_get_local_cols(desc_data).
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! info - integer, output.
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! Error code.
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!
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subroutine mld_zbjac_aply(alpha,prec,x,beta,y,desc_data,trans,work,info)
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use psb_base_mod
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use mld_prec_mod, mld_protect_name => mld_zbjac_aply
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implicit none
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! Arguments
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type(psb_desc_type), intent(in) :: desc_data
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type(mld_zbaseprc_type), intent(in) :: prec
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complex(kind(0.d0)),intent(in) :: x(:)
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complex(kind(0.d0)),intent(inout) :: y(:)
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complex(kind(0.d0)),intent(in) :: alpha,beta
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character(len=1), intent(in) :: trans
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complex(kind(0.d0)),target, intent(inout) :: 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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complex(kind(1.d0)), pointer :: ww(:), aux(:), tx(:),ty(:)
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integer :: ictxt,np,me,i, err_act
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character(len=20) :: name
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character :: trans_
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interface
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subroutine mld_zumf_solve(flag,m,x,b,n,ptr,info)
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integer, intent(in) :: flag,m,n,ptr
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integer, intent(out) :: info
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complex(kind(1.d0)), intent(in) :: b(*)
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complex(kind(1.d0)), intent(inout) :: x(*)
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end subroutine mld_zumf_solve
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end interface
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name='mld_zbjac_aply'
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info = 0
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call psb_erractionsave(err_act)
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ictxt=psb_cd_get_context(desc_data)
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call psb_info(ictxt, me, np)
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trans_ = toupper(trans)
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select case(trans_)
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case('N')
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case('T','C')
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case default
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call psb_errpush(40,name)
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goto 9999
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end select
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n_row = psb_cd_get_local_rows(desc_data)
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n_col = psb_cd_get_local_cols(desc_data)
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if (n_col <= size(work)) then
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ww => work(1:n_col)
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if ((4*n_col+n_col) <= size(work)) then
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aux => work(n_col+1:)
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else
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allocate(aux(4*n_col),stat=info)
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if (info /= 0) then
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info=4025
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call psb_errpush(info,name,i_err=(/4*n_col,0,0,0,0/),&
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& a_err='complex(kind(1.d0))')
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goto 9999
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end if
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endif
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else
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allocate(ww(n_col),aux(4*n_col),stat=info)
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if (info /= 0) then
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info=4025
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call psb_errpush(info,name,i_err=(/5*n_col,0,0,0,0/),&
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& a_err='complex(kind(1.d0))')
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goto 9999
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end if
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endif
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if (prec%iprcparm(mld_smooth_sweeps_) == 1) then
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!
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! TASKS 1, 3 and 4
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!
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select case(prec%iprcparm(mld_sub_solve_))
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case(mld_ilu_n_,mld_milu_n_,mld_ilu_t_)
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!
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! Apply a block-Jacobi preconditioner with ILU(k)/MILU(k)/ILU(k,t)
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! factorization of the blocks (distributed matrix) or approximately
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! solve a system through ILU(k)/MILU(k)/ILU(k,t) (replicated matrix).
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!
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select case(trans_)
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case('N')
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call psb_spsm(zone,prec%av(mld_l_pr_),x,zzero,ww,desc_data,info,&
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& trans=trans_,unit='L',diag=prec%d,choice=psb_none_,work=aux)
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if (info == 0) call psb_spsm(alpha,prec%av(mld_u_pr_),ww,beta,y,desc_data,info,&
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& trans=trans_,unit='U',choice=psb_none_, work=aux)
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case('T','C')
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call psb_spsm(zone,prec%av(mld_u_pr_),x,zzero,ww,desc_data,info,&
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& trans=trans_,unit='L',diag=prec%d,choice=psb_none_, work=aux)
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if(info ==0) call psb_spsm(alpha,prec%av(mld_l_pr_),ww,beta,y,desc_data,info,&
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& trans=trans_,unit='U',choice=psb_none_,work=aux)
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case default
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call psb_errpush(4001,name,a_err='Invalid TRANS in ILU subsolve')
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goto 9999
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end select
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case(mld_slu_)
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!
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! Apply a block-Jacobi preconditioner with LU factorization of the
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! blocks (distributed matrix) or approximately solve a local linear
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! system through LU (replicated matrix). The SuperLU package is used
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! to apply the LU factorization in both cases.
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!
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ww(1:n_row) = x(1:n_row)
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select case(trans_)
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case('N')
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call mld_zslu_solve(0,n_row,1,ww,n_row,prec%iprcparm(mld_slu_ptr_),info)
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case('T')
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call mld_zslu_solve(1,n_row,1,ww,n_row,prec%iprcparm(mld_slu_ptr_),info)
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case('C')
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call mld_zslu_solve(2,n_row,1,ww,n_row,prec%iprcparm(mld_slu_ptr_),info)
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case default
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call psb_errpush(4001,name,a_err='Invalid TRANS in SLU subsolve')
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goto 9999
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end select
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if (info ==0) call psb_geaxpby(alpha,ww,beta,y,desc_data,info)
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case(mld_sludist_)
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!
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! Solve a distributed linear system with the LU factorization.
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! The SuperLU_DIST package is used.
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!
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ww(1:n_row) = x(1:n_row)
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select case(trans_)
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case('N')
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call mld_zsludist_solve(0,n_row,1,ww,n_row,prec%iprcparm(mld_slud_ptr_),info)
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case('T')
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call mld_zsludist_solve(1,n_row,1,ww,n_row,prec%iprcparm(mld_slud_ptr_),info)
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case('C')
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call mld_zsludist_solve(2,n_row,1,ww,n_row,prec%iprcparm(mld_slud_ptr_),info)
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case default
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call psb_errpush(4001,name,a_err='Invalid TRANS in SLUDist subsolve')
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goto 9999
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end select
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if (info == 0) call psb_geaxpby(alpha,ww,beta,y,desc_data,info)
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case (mld_umf_)
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!
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! Apply a block-Jacobi preconditioner with LU factorization of the
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! blocks (distributed matrix) or approximately solve a local linear
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! system through LU (replicated matrix). The UMFPACK package is used
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! to apply the LU factorization in both cases.
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!
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select case(trans_)
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case('N')
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call mld_zumf_solve(0,n_row,ww,x,n_row,prec%iprcparm(mld_umf_numptr_),info)
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case('T')
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call mld_zumf_solve(1,n_row,ww,x,n_row,prec%iprcparm(mld_umf_numptr_),info)
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case('C')
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call mld_zumf_solve(2,n_row,ww,x,n_row,prec%iprcparm(mld_umf_numptr_),info)
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case default
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call psb_errpush(4001,name,a_err='Invalid TRANS in UMF subsolve')
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goto 9999
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end select
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if (info == 0) call psb_geaxpby(alpha,ww,beta,y,desc_data,info)
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case default
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call psb_errpush(4001,name,a_err='Invalid mld_sub_solve_')
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goto 9999
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end select
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if (info /= 0) then
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call psb_errpush(4001,name,a_err='Error in subsolve Jacobi Sweeps = 1')
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goto 9999
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endif
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else if (prec%iprcparm(mld_smooth_sweeps_) > 1) then
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!
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! TASK 2
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!
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! Apply prec%iprcparm(smooth_sweeps_) sweeps of a block-Jacobi solver
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! to compute an approximate solution of a linear system.
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!
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! Note: trans is always 'N' here.
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!
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if (size(prec%av) < mld_ap_nd_) then
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info = 4011
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goto 9999
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endif
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allocate(tx(n_col),ty(n_col),stat=info)
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if (info /= 0) then
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info=4025
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call psb_errpush(info,name,i_err=(/2*n_col,0,0,0,0/),&
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& a_err='complex(kind(1.d0))')
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goto 9999
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end if
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select case(prec%iprcparm(mld_sub_solve_))
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case(mld_ilu_n_,mld_milu_n_,mld_ilu_t_)
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!
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! Use ILU(k)/MILU(k)/ILU(k,t) on the blocks.
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!
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select case(trans_)
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case('N')
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tx = zzero
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ty = zzero
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do i=1, prec%iprcparm(mld_smooth_sweeps_)
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!
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! Compute Y(j+1) = D^(-1)*(X-ND*Y(j)), where D and ND are the
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! block diagonal part and the remaining part of the local matrix
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! and Y(j) is the approximate solution at sweep j.
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!
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ty(1:n_row) = x(1:n_row)
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call psb_spmm(-zone,prec%av(mld_ap_nd_),tx,zone,ty,&
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& prec%desc_data,info,work=aux)
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if (info /=0) exit
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call psb_spsm(zone,prec%av(mld_l_pr_),ty,zzero,ww,&
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& prec%desc_data,info,&
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& trans=trans_,unit='L',diag=prec%d,choice=psb_none_,work=aux)
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if (info /=0) exit
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call psb_spsm(zone,prec%av(mld_u_pr_),ww,zzero,tx,&
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& prec%desc_data,info,&
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& trans=trans_,unit='U',choice=psb_none_,work=aux)
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if (info /=0) exit
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end do
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case('T','C')
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tx = zzero
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ty = zzero
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do i=1, prec%iprcparm(mld_smooth_sweeps_)
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!
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! Compute Y(j+1) = D^(-1)*(X-ND*Y(j)), where D and ND are the
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! block diagonal part and the remaining part of the local matrix
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! and Y(j) is the approximate solution at sweep j.
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!
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ty(1:n_row) = x(1:n_row)
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call psb_spmm(-zone,prec%av(mld_ap_nd_),tx,zone,ty,&
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& prec%desc_data,info,work=aux,trans=trans_)
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if (info /=0) exit
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call psb_spsm(zone,prec%av(mld_u_pr_),ty,zzero,ww,&
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& prec%desc_data,info,&
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& trans=trans_,unit='L',diag=prec%d,choice=psb_none_,work=aux)
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if (info /=0) exit
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call psb_spsm(zone,prec%av(mld_l_pr_),ww,zzero,tx,&
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& prec%desc_data,info,&
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& trans=trans_,unit='U',choice=psb_none_,work=aux)
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if (info /=0) exit
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end do
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case default
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call psb_errpush(4001,name,a_err='Invalid TRANS in ILU subsolve')
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goto 9999
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end select
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case(mld_sludist_)
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!
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! Wrong choice: SuperLU_DIST
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!
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info = 4001
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call psb_errpush(4001,name,a_err='Invalid SuperLU_DIST with Jacobi sweeps >1')
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goto 9999
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case(mld_slu_)
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!
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! Use the LU factorization from SuperLU.
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!
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select case(trans_)
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case('N')
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tx = zzero
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ty = zzero
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do i=1, prec%iprcparm(mld_smooth_sweeps_)
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!
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! Compute Y(k+1) = D^(-1)*(X-ND*Y(k)), where D and ND are the
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! block diagonal part and the remaining part of the local matrix
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! and Y(j) is the approximate solution at sweep j.
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!
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ty(1:n_row) = x(1:n_row)
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call psb_spmm(-zone,prec%av(mld_ap_nd_),tx,zone,ty,&
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& prec%desc_data,info,work=aux)
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if (info /= 0) exit
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call mld_zslu_solve(0,n_row,1,ty,n_row,prec%iprcparm(mld_slu_ptr_),info)
|
|
if (info /= 0) exit
|
|
tx(1:n_row) = ty(1:n_row)
|
|
end do
|
|
|
|
case('T')
|
|
tx = zzero
|
|
ty = zzero
|
|
do i=1, prec%iprcparm(mld_smooth_sweeps_)
|
|
!
|
|
! Compute Y(k+1) = D^(-1)*(X-ND*Y(k)), 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(-zone,prec%av(mld_ap_nd_),tx,zone,ty,&
|
|
& prec%desc_data,info,work=aux,trans=trans_)
|
|
if (info /= 0) exit
|
|
|
|
call mld_zslu_solve(1,n_row,1,ty,n_row,prec%iprcparm(mld_slu_ptr_),info)
|
|
if (info /= 0) exit
|
|
tx(1:n_row) = ty(1:n_row)
|
|
end do
|
|
|
|
case('C')
|
|
tx = zzero
|
|
ty = zzero
|
|
do i=1, prec%iprcparm(mld_smooth_sweeps_)
|
|
!
|
|
! Compute Y(k+1) = D^(-1)*(X-ND*Y(k)), 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(-zone,prec%av(mld_ap_nd_),tx,zone,ty,&
|
|
& prec%desc_data,info,work=aux,trans=trans_)
|
|
if (info /= 0) exit
|
|
|
|
call mld_zslu_solve(2,n_row,1,ty,n_row,prec%iprcparm(mld_slu_ptr_),info)
|
|
if (info /= 0) exit
|
|
tx(1:n_row) = ty(1:n_row)
|
|
end do
|
|
|
|
case default
|
|
call psb_errpush(4001,name,a_err='Invalid TRANS in SLU subsolve')
|
|
goto 9999
|
|
end select
|
|
|
|
case(mld_umf_)
|
|
!
|
|
! Use the LU factorization from UMFPACK.
|
|
!
|
|
|
|
select case(trans_)
|
|
case('N')
|
|
tx = zzero
|
|
ty = zzero
|
|
do i=1, prec%iprcparm(mld_smooth_sweeps_)
|
|
!
|
|
! Compute Y(k+1) = D^(-1)*(X-ND*Y(k)), 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(-zone,prec%av(mld_ap_nd_),tx,zone,ty,&
|
|
& prec%desc_data,info,work=aux)
|
|
if (info /= 0) exit
|
|
|
|
call mld_zumf_solve(0,n_row,ww,ty,n_row,&
|
|
& prec%iprcparm(mld_umf_numptr_),info)
|
|
if (info /= 0) exit
|
|
tx(1:n_row) = ww(1:n_row)
|
|
end do
|
|
|
|
case('T')
|
|
tx = zzero
|
|
ty = zzero
|
|
do i=1, prec%iprcparm(mld_smooth_sweeps_)
|
|
!
|
|
! Compute Y(k+1) = D^(-1)*(X-ND*Y(k)), 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(-zone,prec%av(mld_ap_nd_),tx,zone,ty,&
|
|
& prec%desc_data,info,work=aux,trans=trans_)
|
|
if (info /= 0) exit
|
|
|
|
call mld_zumf_solve(1,n_row,ww,ty,n_row,&
|
|
& prec%iprcparm(mld_umf_numptr_),info)
|
|
if (info /= 0) exit
|
|
tx(1:n_row) = ww(1:n_row)
|
|
end do
|
|
|
|
case('C')
|
|
tx = zzero
|
|
ty = zzero
|
|
do i=1, prec%iprcparm(mld_smooth_sweeps_)
|
|
!
|
|
! Compute Y(k+1) = D^(-1)*(X-ND*Y(k)), 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(-zone,prec%av(mld_ap_nd_),tx,zone,ty,&
|
|
& prec%desc_data,info,work=aux,trans=trans_)
|
|
if (info /= 0) exit
|
|
|
|
call mld_zumf_solve(2,n_row,ww,ty,n_row,&
|
|
& prec%iprcparm(mld_umf_numptr_),info)
|
|
if (info /= 0) exit
|
|
tx(1:n_row) = ww(1:n_row)
|
|
end do
|
|
|
|
case default
|
|
call psb_errpush(4001,name,a_err='Invalid TRANS in UMF subsolve')
|
|
goto 9999
|
|
end select
|
|
|
|
case default
|
|
call psb_errpush(4001,name,a_err='Invalid mld_sub_solve_')
|
|
goto 9999
|
|
end select
|
|
if (info /= 0) then
|
|
info=4001
|
|
call psb_errpush(info,name,a_err='subsolve with Jacobi sweeps > 1')
|
|
goto 9999
|
|
end if
|
|
|
|
!
|
|
! Put the result into the output vector Y.
|
|
!
|
|
call psb_geaxpby(alpha,tx,beta,y,desc_data,info)
|
|
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_smooth_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_zbjac_aply
|
|
|