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297 lines
10 KiB
Fortran
297 lines
10 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_zilu_bld.f90
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!
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! Subroutine: mld_zilu_bld
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! Version: complex
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!
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! This routine computes an incomplete LU (ILU) factorization of the local part
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! of the matrix stored into a. This factorization is used to build the 'base
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! preconditioner' (block-Jacobi preconditioner/solver, Additive Schwarz
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! preconditioner) corresponding to a certain level of a multilevel preconditioner.
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! The following factorizations are available:
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! - ILU(k), i.e. ILU factorization with fill-in level k,
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! - MILU(k), i.e. modified ILU factorization with fill-in level k,
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! - ILU(k,t), i.e. ILU with threshold (i.e. drop tolerance) t and k additional
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! entries in each row of the L and U factors with respect to the initial
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! sparsity pattern.
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! Note that the meaning of k in ILU(k,t) is different from that in ILU(k) and
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! MILU(k).
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!
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! For details on the above factorizations see
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! Y. Saad, Iterative Methods for Sparse Linear Systems, Second Edition,
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! SIAM, 2003, Chapter 10.
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!
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! Note that that this routine handles the ILU(0) factorization separately,
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! through mld_ilu_fct, for performance reasons.
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!
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!
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! Arguments:
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! a - type(psb_zspmat_type), input.
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! The sparse matrix structure containing the local matrix to be
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! factorized. Note that if p%iprcparm(mld_n_ovr_) > 0, i.e. the
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! 'base' Additive Schwarz preconditioner has overlap greater than
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! 0, and p%iprcparm(mld_sub_ren_) = 0, i.e. a reordering of the
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! matrix has not been performed (see mld_bjac_bld), then a contains
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! only the 'original' local part of the matrix to be factorized,
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! i.e. the rows of the matrix held by the calling process according
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! to the initial data distribution.
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! desc_a - type(psb_desc_type), input.
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! The communication descriptor associated to a.
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! p - type(mld_zbaseprc_type), input/output.
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! The 'base preconditioner' data structure. In input, p%iprcparm
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! contains information on the type of factorization to be computed.
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! In output, p%av(mld_l_pr_) and p%av(mld_u_pr_) contain the
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! incomplete L and U factors (without their diagonals), and p%d
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! contains the diagonal of the incomplete U factor. For more
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! details on p see its description in mld_prec_type.f90.
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! info - integer, output.
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! Error code.
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! blck - type(psb_zspmat_type), input, optional.
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! The sparse matrix structure containing the remote rows of the
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! matrix to be factorized, that have been retrieved by mld_asmat_bld
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! to build an Additive Schwarz base preconditioner with overlap
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! greater than 0. If the overlap is 0 or the matrix has been reordered
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! (see mld_bjac_bld), then blck does not contain any row.
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!
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subroutine mld_zilu_bld(a,desc_a,p,upd,info,blck)
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use psb_base_mod
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use mld_prec_mod, mld_protect_name => mld_zilu_bld
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implicit none
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! Arguments
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type(psb_zspmat_type), intent(in), target :: a
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type(mld_zbaseprc_type), intent(inout) :: p
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type(psb_desc_type), intent(in) :: desc_a
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character, intent(in) :: upd
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integer, intent(out) :: info
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type(psb_zspmat_type), intent(in), optional :: blck
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! Local Variables
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integer :: i, nztota, err_act, n_row, nrow_a
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character :: trans, unitd
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logical, parameter :: debugprt=.false., debug=.false., aggr_dump=.false.
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integer :: ictxt,np,me
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character(len=20) :: name, ch_err
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if(psb_get_errstatus().ne.0) return
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info=0
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name='mld_zilu_bld'
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call psb_erractionsave(err_act)
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ictxt=psb_cd_get_context(desc_a)
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call psb_info(ictxt, me, np)
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trans = 'N'
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unitd = 'U'
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!
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! Check the memory available to hold the incomplete L and U factors
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! and allocate it if needed
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!
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if (allocated(p%av)) then
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if (size(p%av) < mld_bp_ilu_avsz_) then
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do i=1,size(p%av)
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call psb_sp_free(p%av(i),info)
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if (info /= 0) then
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! Actually, we don't care here about this. Just let it go.
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! return
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end if
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enddo
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deallocate(p%av,stat=info)
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endif
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end if
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if (.not.allocated(p%av)) then
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allocate(p%av(mld_max_avsz_),stat=info)
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if (info /= 0) then
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call psb_errpush(4000,name)
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goto 9999
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end if
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endif
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!!$ call psb_csprt(50+me,a,head='% (A)')
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nrow_a = psb_cd_get_local_rows(desc_a)
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nztota = psb_sp_get_nnzeros(a)
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if (present(blck)) then
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nztota = nztota + psb_sp_get_nnzeros(blck)
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end if
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if (debug) write(0,*)me,': out get_nnzeros',nztota,a%m,a%k
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if (debug) call psb_barrier(ictxt)
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n_row = p%desc_data%matrix_data(psb_n_row_)
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p%av(mld_l_pr_)%m = n_row
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p%av(mld_l_pr_)%k = n_row
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p%av(mld_u_pr_)%m = n_row
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p%av(mld_u_pr_)%k = n_row
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call psb_sp_all(n_row,n_row,p%av(mld_l_pr_),nztota,info)
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if (info == 0) call psb_sp_all(n_row,n_row,p%av(mld_u_pr_),nztota,info)
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if(info/=0) then
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info=4010
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ch_err='psb_sp_all'
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call psb_errpush(info,name,a_err=ch_err)
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goto 9999
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end if
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if (allocated(p%d)) then
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if (size(p%d) < n_row) then
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deallocate(p%d)
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endif
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endif
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if (.not.allocated(p%d)) then
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allocate(p%d(n_row),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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endif
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select case(p%iprcparm(mld_sub_solve_))
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case (mld_ilu_t_)
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!
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! ILU(k,t)
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!
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select case(p%iprcparm(mld_sub_fill_in_))
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case(:-1)
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! Error: fill-in <= -1
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call psb_errpush(30,name,i_err=(/3,p%iprcparm(mld_sub_fill_in_),0,0,0/))
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goto 9999
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case(0:)
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! Fill-in >= 0
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call mld_ilut_fct(p%iprcparm(mld_sub_fill_in_),p%dprcparm(mld_fact_thrs_),&
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& p%iprcparm(mld_sub_solve_), a,&
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& p%av(mld_l_pr_),p%av(mld_u_pr_),p%d,info,blck=blck)
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end select
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if(info/=0) then
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info=4010
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ch_err='mld_ilut_fct'
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call psb_errpush(info,name,a_err=ch_err)
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goto 9999
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end if
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case(mld_ilu_n_,mld_milu_n_)
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!
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! ILU(k) and MILU(k)
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!
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select case(p%iprcparm(mld_sub_fill_in_))
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case(:-1)
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! Error: fill-in <= -1
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call psb_errpush(30,name,i_err=(/3,p%iprcparm(mld_sub_fill_in_),0,0,0/))
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goto 9999
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case(0)
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! Fill-in 0
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! Separate implementation of ILU(0) for better performance
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! There seems to be a problem with the separate implementation of MILU(0),
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! contained into mld_ilu_fct. This must be investigated. For the time being,
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! resort to the implementation of MILU(k) with k=0.
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if (p%iprcparm(mld_sub_solve_) == mld_ilu_n_) then
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call mld_ilu_fct(p%iprcparm(mld_sub_solve_),a,p%av(mld_l_pr_),p%av(mld_u_pr_),&
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& p%d,info,blck=blck)
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else
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call mld_iluk_fct(p%iprcparm(mld_sub_fill_in_),p%iprcparm(mld_sub_solve_),&
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& a,p%av(mld_l_pr_),p%av(mld_u_pr_),p%d,info,blck=blck)
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endif
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case(1:)
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! Fill-in >= 1
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! The same routine implements both ILU(k) and MILU(k)
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call mld_iluk_fct(p%iprcparm(mld_sub_fill_in_),p%iprcparm(mld_sub_solve_),&
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& a,p%av(mld_l_pr_),p%av(mld_u_pr_),p%d,info,blck=blck)
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end select
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if (info/=0) then
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info=4010
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ch_err='mld_iluk_fct'
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call psb_errpush(info,name,a_err=ch_err)
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goto 9999
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end if
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case default
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! If we end up here, something was wrong up in the call chain.
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call psb_errpush(4000,name)
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goto 9999
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end select
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if (debugprt) then
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!
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! Print out the factors on file.
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!
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open(80+me)
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call psb_csprt(80+me,p%av(mld_l_pr_),head='% Local L factor')
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write(80+me,*) '% Diagonal: ',p%av(mld_l_pr_)%m
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do i=1,p%av(mld_l_pr_)%m
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write(80+me,*) i,i,p%d(i)
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enddo
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call psb_csprt(80+me,p%av(mld_u_pr_),head='% Local U factor')
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close(80+me)
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endif
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if (psb_sp_getifld(psb_upd_,p%av(mld_u_pr_),info) /= psb_upd_perm_) then
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call psb_sp_trim(p%av(mld_u_pr_),info)
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endif
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if (psb_sp_getifld(psb_upd_,p%av(mld_l_pr_),info) /= psb_upd_perm_) then
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call psb_sp_trim(p%av(mld_l_pr_),info)
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endif
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if (debug) write(0,*) me,'End of ilu_bld'
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call psb_erractionrestore(err_act)
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return
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9999 continue
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call psb_erractionrestore(err_act)
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if (err_act.eq.psb_act_abort_) then
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call psb_error()
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return
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end if
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return
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end subroutine mld_zilu_bld
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