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618 lines
19 KiB
Fortran
618 lines
19 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_dbjac_bld.f90.
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!
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! Subroutine: mld_dbjac_bld.
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! Version: real.
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!
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! This routine builds the local extended matrix associated to an Additive
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! Schwarz preconditioner and computes an LU or incomplete LU factorization
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! of this matrix, according to the value of p%iprcparm(iprcparm(sub_solve_),
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! set by the user through mld_dprecinit or mld_dprecset.
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! Alternatively, it splits the local matrix into its block-diagonal and
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! off block-diagonal parts, for the future application of multiple
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! block-Jacobi sweeps.
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!
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! This routine is used by mld_dbaseprec_bld, to build 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. More precisely, the routine is used to perform one of the
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! following tasks:
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!
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! 1. construction of a block-Jacobi or Additive Schwarz preconditioner associated
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! to a matrix A distributed among the processes (allowed at any level);
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!
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! 2. setup of block-Jacobi sweeps to compute an approximate solution of a
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! linear system
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! A*Y = X,
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!
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! distributed among the processes (allowed only at the coarsest level);
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!
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! 3. 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 (allowed only at the coarsest level);
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!
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! 4. LU or incomplete 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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! replicated on the processes (allowed only at the coarsest level).
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!
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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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! - LU implemented in SuperLU version 3.0;
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! - LU implemented in UMFPACK version 4.4;
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! - distributed LU implemented in SuperLU_DIST version 2.0.
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!
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!
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! Arguments:
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! a - type(<psb_dspmat_type>), input.
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! The sparse matrix structure containing the local part of the
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! matrix to be preconditioned or factorized.
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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_dbaseprec_type>), input/output.
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! The 'base preconditioner' data structure containing the local
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! part of the preconditioner or solver at the current level.
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! info - integer, output.
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! Error code.
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!
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subroutine mld_dbjac_bld(a,desc_a,p,upd,info)
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use psb_base_mod
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use mld_prec_mod, mld_protect_name => mld_dbjac_bld
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implicit none
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! Arguments
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type(psb_dspmat_type), intent(in), target :: a
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type(psb_desc_type), intent(in) :: desc_a
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type(mld_dbaseprc_type), intent(inout) :: p
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integer, intent(out) :: info
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character, intent(in) :: upd
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! Local Variables
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integer :: i, k, m
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integer :: int_err(5)
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character :: trans, unitd
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type(psb_dspmat_type) :: blck, atmp
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logical, parameter :: debugprt=.false., debug=.false., aggr_dump=.false.
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integer :: err_act, n_row, nrow_a,n_col
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integer :: ictxt,np,me
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character(len=20) :: name
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character(len=5), parameter :: coofmt='COO', csrfmt='CSR'
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if(psb_get_errstatus().ne.0) return
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info=0
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name='mld_dbjac_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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m = a%m
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if (m < 0) then
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info = 10
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int_err(1) = 1
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int_err(2) = m
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call psb_errpush(info,name,i_err=int_err)
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goto 9999
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endif
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trans = 'N'
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unitd = 'U'
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if (p%iprcparm(mld_n_ovr_) < 0) then
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info = 11
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int_err(1) = 1
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int_err(2) = p%iprcparm(mld_n_ovr_)
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call psb_errpush(info,name,i_err=int_err)
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goto 9999
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endif
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call psb_nullify_sp(blck)
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call psb_nullify_sp(atmp)
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if(debug) write(0,*)me,': calling mld_asmat_bld',&
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& p%iprcparm(mld_prec_type_),p%iprcparm(mld_n_ovr_)
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if (debug) call psb_barrier(ictxt)
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!
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! Build the communication descriptor for the Additive Schwarz
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! preconditioner and retrieves the remote pieces of the local
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! extended matrix needed by that preconditioner. If the
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! preconditioner is the block-Jacobi one, only a copy of the
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! descriptor of the original matrix is made.
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!
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call mld_asmat_bld(p%iprcparm(mld_prec_type_),p%iprcparm(mld_n_ovr_),a,&
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& blck,desc_a,upd,p%desc_data,info,outfmt=csrfmt)
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if (debugprt) then
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open(60+me)
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call psb_csprt(60+me,a,head='% A')
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close(60+me)
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open(70+me)
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call psb_csprt(70+me,blck,head='% BLCK')
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close(70+me)
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endif
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if(info/=0) then
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call psb_errpush(4010,name,a_err='mld_asmat_bld')
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goto 9999
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end if
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if (debug) write(0,*)me,': out of mld_asmat_bld'
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if (debug) call psb_barrier(ictxt)
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!
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! Treat separately the case the local matrix has to be reordered
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! and the case this is not required.
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!
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select case(p%iprcparm(mld_sub_ren_))
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!
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! A reordering of the local matrix is required.
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!
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case (1:)
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!
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! Reorder the rows and the columns of the local extended matrix,
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! according to the value of p%iprcparm(sub_ren_). The reordered
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! matrix is stored into atmp, using the COO format.
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!
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call mld_sp_renum(a,desc_a,blck,p,atmp,info)
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if (info/=0) then
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call psb_errpush(4010,name,a_err='mld_sp_renum')
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goto 9999
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end if
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!
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! Clip into p%av(ap_nd_) the off block-diagonal part of the local
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! matrix. The clipped matrix is then stored in CSR format.
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!
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call psb_sp_clip(atmp,p%av(mld_ap_nd_),info,&
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& jmin=atmp%m+1,rscale=.false.,cscale=.false.)
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call psb_spcnv(p%av(mld_ap_nd_),info,afmt='csr',dupl=psb_dupl_add_)
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if(info /= 0) then
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call psb_errpush(4010,name,a_err='psb_spcnv csr 1')
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goto 9999
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end if
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k = psb_sp_get_nnzeros(p%av(mld_ap_nd_))
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call psb_sum(ictxt,k)
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if (k == 0) then
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!
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! If the off diagonal part is emtpy, there is no point in doing
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! multiple Jacobi sweeps. This is certain to happen when running
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! on a single processor.
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!
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p%iprcparm(mld_smooth_sweeps_) = 1
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end if
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if (debugprt) then
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call psb_barrier(ictxt)
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open(40+me)
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call psb_csprt(40+me,atmp,head='% Local matrix')
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close(40+me)
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endif
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if (debug) write(0,*) me,' Factoring rows ',&
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&atmp%m,a%m,blck%m,atmp%ia2(atmp%m+1)-1
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!
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! Compute a factorization of the diagonal block of the local matrix,
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! according to the choice made by the user by setting p%iprcparm(sub_solve_)
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!
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select case(p%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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! ILU(k)/MILU(k)/ILU(k,t) factorization.
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!
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call psb_spcnv(atmp,info,afmt='csr',dupl=psb_dupl_add_)
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if (info /= 0) then
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call psb_errpush(4010,name,a_err='psb_spcnv csr 2')
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goto 9999
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end if
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call mld_ilu_bld(atmp,p%desc_data,p,upd,info)
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if (info/=0) then
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call psb_errpush(4010,name,a_err='mld_ilu_bld')
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goto 9999
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end if
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if (debugprt) then
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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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case(mld_slu_)
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!
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! LU factorization through the SuperLU package.
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!
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call psb_spcnv(atmp,info,afmt='csr',dupl=psb_dupl_add_)
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if (info /= 0) then
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call psb_errpush(4010,name,a_err='psb_spcnv csr 3')
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goto 9999
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end if
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call mld_slu_bld(atmp,p%desc_data,p,info)
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if(info /= 0) then
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call psb_errpush(4010,name,a_err='mld_slu_bld')
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goto 9999
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end if
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case(mld_umf_)
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!
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! LU factorization through the UMFPACK package.
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!
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call psb_spcnv(atmp,info,afmt='csc',dupl=psb_dupl_add_)
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if (info /= 0) then
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call psb_errpush(4010,name,a_err='psb_spcnv csc')
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goto 9999
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end if
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call mld_umf_bld(atmp,p%desc_data,p,info)
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if(debug) write(0,*)me,': Done mld_umf_bld ',info
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if (info /= 0) then
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call psb_errpush(4010,name,a_err='mld_umf_bld')
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goto 9999
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end if
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case(mld_f_none_)
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!
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! Error: no factorization required.
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!
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info=4010
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call psb_errpush(info,name,a_err='Inconsistent prec mld_f_none_')
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goto 9999
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case default
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info=4010
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call psb_errpush(info,name,a_err='Unknown mld_sub_solve_')
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goto 9999
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end select
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call psb_sp_free(atmp,info)
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if(info/=0) then
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call psb_errpush(4010,name,a_err='psb_sp_free')
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goto 9999
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end if
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!
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! No reordering of the local matrix is required
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!
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case(0)
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!
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! Compute a factorization of the diagonal block of the local matrix,
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! according to the choice made by the user by setting p%iprcparm(sub_solve_)
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!
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select case(p%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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! ILU(k)/MILU(k)/ILU(k,t) factorization.
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!
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!
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! In case of multiple block-Jacobi sweeps, clip into p%av(ap_nd_)
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! the off block-diagonal part of the local extended matrix. The
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! clipped matrix is then stored in CSR format.
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!
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if (p%iprcparm(mld_smooth_sweeps_) > 1) then
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n_row = psb_cd_get_local_rows(p%desc_data)
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n_col = psb_cd_get_local_cols(p%desc_data)
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nrow_a = a%m
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! The following is known to work
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! given that the output from CLIP is in COO.
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call psb_sp_clip(a,p%av(mld_ap_nd_),info,&
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& jmin=nrow_a+1,rscale=.false.,cscale=.false.)
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call psb_sp_clip(blck,atmp,info,&
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& jmin=nrow_a+1,rscale=.false.,cscale=.false.)
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call psb_rwextd(n_row,p%av(mld_ap_nd_),info,b=atmp)
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call psb_spcnv(p%av(mld_ap_nd_),info,afmt='csr',dupl=psb_dupl_add_)
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if(info /= 0) then
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call psb_errpush(4010,name,a_err='psb_spcnv csr 4')
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goto 9999
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end if
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k = psb_sp_get_nnzeros(p%av(mld_ap_nd_))
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call psb_sum(ictxt,k)
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if (k == 0) then
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!
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! If the off block-diagonal part is emtpy, there is no point in doing
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! multiple Jacobi sweeps. This is certain to happen when running
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! on a single processor.
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!
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p%iprcparm(mld_smooth_sweeps_) = 1
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end if
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call psb_sp_free(atmp,info)
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end if
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!
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! Compute the incomplete LU factorization.
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!
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call mld_ilu_bld(a,desc_a,p,upd,info,blck=blck)
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if(info/=0) then
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call psb_errpush(4010,name,a_err='mld_ilu_bld')
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goto 9999
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end if
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if (debugprt) then
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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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case(mld_slu_)
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!
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! LU factorization through the SuperLU package.
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!
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call psb_spcnv(a,atmp,info,afmt='coo')
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if (info /= 0) then
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call psb_errpush(4010,name,a_err='psb_spcnv')
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goto 9999
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end if
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n_row = psb_cd_get_local_rows(p%desc_data)
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n_col = psb_cd_get_local_cols(p%desc_data)
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call psb_rwextd(n_row,atmp,info,b=blck)
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!
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! In case of multiple block-Jacobi sweeps, clip into p%av(ap_nd_)
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! the off block-diagonal part of the local extended matrix. The
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! clipped matrix is then stored in CSR format.
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!
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if (p%iprcparm(mld_smooth_sweeps_) > 1) then
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call psb_sp_clip(atmp,p%av(mld_ap_nd_),info,&
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& jmin=atmp%m+1,rscale=.false.,cscale=.false.)
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call psb_spcnv(p%av(mld_ap_nd_),info,afmt='csr',dupl=psb_dupl_add_)
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if(info /= 0) then
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call psb_errpush(4010,name,a_err='psb_spcnv csr 6')
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goto 9999
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end if
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k = psb_sp_get_nnzeros(p%av(mld_ap_nd_))
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call psb_sum(ictxt,k)
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if (k == 0) then
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!
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! If the off block-diagonal part is emtpy, there is no point in doing
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! multiple Jacobi sweeps. This is certain to happen when running
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! on a single processor.
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!
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p%iprcparm(mld_smooth_sweeps_) = 1
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end if
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endif
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!
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! Compute the LU factorization.
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!
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|
if (info == 0) call psb_spcnv(atmp,info,afmt='csr',dupl=psb_dupl_add_)
|
|
if (info == 0) call mld_slu_bld(atmp,p%desc_data,p,info)
|
|
if(info /= 0) then
|
|
call psb_errpush(4010,name,a_err='mld_slu_bld')
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_sp_free(atmp,info)
|
|
if(info/=0) then
|
|
call psb_errpush(4010,name,a_err='psb_sp_free')
|
|
goto 9999
|
|
end if
|
|
|
|
case(mld_sludist_)
|
|
!
|
|
! LU factorization through the SuperLU_DIST package. This works only
|
|
! when the matrix is distributed among the processes.
|
|
! NOTE: Should have NO overlap here!!!!
|
|
!
|
|
|
|
call psb_spcnv(a,atmp,info,afmt='csr')
|
|
if (info /= 0) then
|
|
call psb_errpush(4010,name,a_err='psb_spcnv')
|
|
goto 9999
|
|
end if
|
|
|
|
n_row = psb_cd_get_local_rows(p%desc_data)
|
|
n_col = psb_cd_get_local_cols(p%desc_data)
|
|
if (info == 0) call mld_sludist_bld(atmp,p%desc_data,p,info)
|
|
if(info /= 0) then
|
|
call psb_errpush(4010,name,a_err='mld_slu_bld')
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_sp_free(atmp,info)
|
|
if(info/=0) then
|
|
call psb_errpush(4010,name,a_err='psb_sp_free')
|
|
goto 9999
|
|
end if
|
|
|
|
case(mld_umf_)
|
|
!
|
|
! LU factorization through the UMFPACK package.
|
|
!
|
|
|
|
|
|
call psb_spcnv(a,atmp,info,afmt='coo')
|
|
if (info /= 0) then
|
|
call psb_errpush(4010,name,a_err='psb_spcnv')
|
|
goto 9999
|
|
end if
|
|
|
|
n_row = psb_cd_get_local_rows(p%desc_data)
|
|
n_col = psb_cd_get_local_cols(p%desc_data)
|
|
call psb_rwextd(n_row,atmp,info,b=blck)
|
|
|
|
!
|
|
! In case of multiple block-Jacobi sweeps, clip into p%av(ap_nd_)
|
|
! the off block-diagonal part of the local extended matrix. The
|
|
! clipped matrix is then stored in CSR format.
|
|
!
|
|
if (p%iprcparm(mld_smooth_sweeps_) > 1) then
|
|
|
|
call psb_sp_clip(atmp,p%av(mld_ap_nd_),info,&
|
|
& jmin=atmp%m+1,rscale=.false.,cscale=.false.)
|
|
|
|
call psb_spcnv(p%av(mld_ap_nd_),info,afmt='csr',dupl=psb_dupl_add_)
|
|
if(info /= 0) then
|
|
call psb_errpush(4010,name,a_err='psb_spcnv csr 8')
|
|
goto 9999
|
|
end if
|
|
|
|
k = psb_sp_get_nnzeros(p%av(mld_ap_nd_))
|
|
call psb_sum(ictxt,k)
|
|
|
|
if (k == 0) then
|
|
!
|
|
! If the off block-diagonal part is emtpy, there is no point in doing
|
|
! multiple Jacobi sweeps. This is certain to happen when running
|
|
! on a single processor.
|
|
!
|
|
p%iprcparm(mld_smooth_sweeps_) = 1
|
|
end if
|
|
endif
|
|
|
|
!
|
|
! Compute the LU factorization.
|
|
!
|
|
if (info == 0) call psb_ipcoo2csc(atmp,info,clshr=.true.)
|
|
if (info /= 0) then
|
|
call psb_errpush(4010,name,a_err='psb_ipcoo2csc')
|
|
goto 9999
|
|
end if
|
|
call mld_umf_bld(atmp,p%desc_data,p,info)
|
|
if(debug) write(0,*)me,': Done mld_umf_bld ',info
|
|
if (info /= 0) then
|
|
call psb_errpush(4010,name,a_err='mld_umf_bld')
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_sp_free(atmp,info)
|
|
if(info/=0) then
|
|
call psb_errpush(4010,name,a_err='psb_sp_free')
|
|
goto 9999
|
|
end if
|
|
|
|
|
|
case(mld_f_none_)
|
|
!
|
|
! Error: no factorization required.
|
|
!
|
|
info=4010
|
|
call psb_errpush(info,name,a_err='Inconsistent prec mld_f_none_')
|
|
goto 9999
|
|
|
|
case default
|
|
info=4010
|
|
call psb_errpush(info,name,a_err='Unknown mld_sub_solve_')
|
|
goto 9999
|
|
end select
|
|
|
|
case default
|
|
info=4010
|
|
call psb_errpush(info,name,a_err='Invalid renum_')
|
|
goto 9999
|
|
|
|
end select
|
|
|
|
|
|
call psb_sp_free(blck,info)
|
|
if(info/=0) then
|
|
call psb_errpush(4010,name,a_err='psb_sp_free')
|
|
goto 9999
|
|
end if
|
|
|
|
if (debug) write(0,*) me,'End of ilu_bld'
|
|
|
|
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_dbjac_bld
|
|
|
|
|