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350 lines
10 KiB
Fortran
350 lines
10 KiB
Fortran
!
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!
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! AMG4PSBLAS version 1.0
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! Algebraic Multigrid Package
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! based on PSBLAS (Parallel Sparse BLAS version 3.5)
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!
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! (C) Copyright 2020
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!
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! Salvatore Filippone
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! Pasqua D'Ambra
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! Fabio Durastante
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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 AMG4PSBLAS 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 AMG4PSBLAS 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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!
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! File: amg_z_soc1_map__bld.f90
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!
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! Subroutine: amg_z_soc1_map_bld
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! Version: complex
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!
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! This routine builds the tentative prolongator based on the
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! strength of connection aggregation algorithm presented in
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!
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! M. Brezina and P. Vanek, A black-box iterative solver based on a
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! two-level Schwarz method, Computing, 63 (1999), 233-263.
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! P. Vanek, J. Mandel and M. Brezina, Algebraic Multigrid by Smoothed
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! Aggregation for Second and Fourth Order Elliptic Problems, Computing, 56
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! (1996), 179-196.
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!
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! Note: upon exit
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!
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! Arguments:
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! a - type(psb_zspmat_type).
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! The sparse matrix structure containing the local part of the
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! matrix to be preconditioned.
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! desc_a - type(psb_desc_type), input.
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! The communication descriptor of a.
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! p - type(amg_zprec_type), input/output.
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! The preconditioner data structure; upon exit it contains
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! the multilevel hierarchy of prolongators, restrictors
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! and coarse matrices.
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! info - integer, output.
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! Error code.
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!
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!
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!
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subroutine amg_z_soc1_map_bld(iorder,theta,clean_zeros,a,desc_a,nlaggr,ilaggr,info)
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use psb_base_mod
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use amg_base_prec_type
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use amg_z_inner_mod
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implicit none
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! Arguments
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integer(psb_ipk_), intent(in) :: iorder
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logical, intent(in) :: clean_zeros
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type(psb_zspmat_type), intent(in) :: a
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type(psb_desc_type), intent(in) :: desc_a
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real(psb_dpk_), intent(in) :: theta
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integer(psb_lpk_), allocatable, intent(out) :: ilaggr(:),nlaggr(:)
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integer(psb_ipk_), intent(out) :: info
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! Local variables
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integer(psb_ipk_), allocatable :: ils(:), neigh(:), irow(:), icol(:),&
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& ideg(:), idxs(:)
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integer(psb_lpk_), allocatable :: tmpaggr(:)
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complex(psb_dpk_), allocatable :: val(:), diag(:)
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integer(psb_ipk_) :: icnt,nlp,k,n,ia,isz,nr, nc, naggr,i,j,m, nz, ilg, ii, ip
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type(psb_z_csr_sparse_mat) :: acsr
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real(psb_dpk_) :: cpling, tcl
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logical :: disjoint
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integer(psb_ipk_) :: debug_level, debug_unit,err_act
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integer(psb_ipk_) :: ictxt,np,me
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integer(psb_ipk_) :: nrow, ncol, n_ne
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integer(psb_lpk_) :: nrglob
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character(len=20) :: name, ch_err
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info=psb_success_
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name = 'amg_soc1_map_bld'
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call psb_erractionsave(err_act)
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if (psb_errstatus_fatal()) then
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info = psb_err_internal_error_; goto 9999
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end if
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debug_unit = psb_get_debug_unit()
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debug_level = psb_get_debug_level()
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!
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ictxt=desc_a%get_context()
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call psb_info(ictxt,me,np)
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nrow = desc_a%get_local_rows()
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ncol = desc_a%get_local_cols()
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nrglob = desc_a%get_global_rows()
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nr = a%get_nrows()
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nc = a%get_ncols()
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allocate(ilaggr(nr),neigh(nr),ideg(nr),idxs(nr),&
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& icol(nc),val(nc),stat=info)
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if(info /= psb_success_) then
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info=psb_err_alloc_request_
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call psb_errpush(info,name,i_err=(/2*nr,izero,izero,izero,izero/),&
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& a_err='integer')
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goto 9999
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end if
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diag = a%get_diag(info)
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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call psb_errpush(info,name,a_err='psb_sp_getdiag')
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goto 9999
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end if
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call a%cp_to(acsr)
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if (clean_zeros) call acsr%clean_zeros(info)
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if (iorder == amg_aggr_ord_nat_) then
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do i=1, nr
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ilaggr(i) = -(nr+1)
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idxs(i) = i
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end do
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else
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do i=1, nr
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ilaggr(i) = -(nr+1)
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ideg(i) = acsr%irp(i+1) - acsr%irp(i)
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end do
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call psb_msort(ideg,ix=idxs,dir=psb_sort_down_)
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end if
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!
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! Phase one: Start with disjoint groups.
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!
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naggr = 0
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icnt = 0
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step1: do ii=1, nr
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i = idxs(ii)
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if ((i<1).or.(i>nr)) then
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info=psb_err_internal_error_
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call psb_errpush(info,name)
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goto 9999
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end if
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if (ilaggr(i) == -(nr+1)) then
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nz = (acsr%irp(i+1)-acsr%irp(i))
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if ((nz<0).or.(nz>size(icol))) then
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info=psb_err_internal_error_
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call psb_errpush(info,name)
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goto 9999
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end if
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icol(1:nz) = acsr%ja(acsr%irp(i):acsr%irp(i+1)-1)
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val(1:nz) = acsr%val(acsr%irp(i):acsr%irp(i+1)-1)
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!
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! Build the set of all strongly coupled nodes
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!
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ip = 0
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do k=1, nz
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j = icol(k)
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if ((1<=j).and.(j<=nr)) then
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if (abs(val(k)) > theta*sqrt(abs(diag(i)*diag(j)))) then
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ip = ip + 1
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icol(ip) = icol(k)
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end if
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end if
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enddo
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!
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! If the whole strongly coupled neighborhood of I is
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! as yet unconnected, turn it into the next aggregate.
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! Same if ip==0 (in which case, neighborhood only
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! contains I even if it does not look like it from matrix)
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!
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disjoint = all(ilaggr(icol(1:ip)) == -(nr+1)).or.(ip==0)
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if (disjoint) then
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icnt = icnt + 1
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naggr = naggr + 1
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do k=1, ip
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ilaggr(icol(k)) = naggr
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end do
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ilaggr(i) = naggr
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end if
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endif
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enddo step1
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if (debug_level >= psb_debug_outer_) then
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write(debug_unit,*) me,' ',trim(name),&
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& ' Check 1:',count(ilaggr == -(nr+1))
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end if
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!
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! Phase two: join the neighbours
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!
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tmpaggr = ilaggr
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step2: do ii=1,nr
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i = idxs(ii)
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if (ilaggr(i) == -(nr+1)) then
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nz = (acsr%irp(i+1)-acsr%irp(i))
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if (nz == 1) cycle step2
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icol(1:nz) = acsr%ja(acsr%irp(i):acsr%irp(i+1)-1)
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val(1:nz) = acsr%val(acsr%irp(i):acsr%irp(i+1)-1)
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!
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! Find the most strongly connected neighbour that is
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! already aggregated, if any, and join its aggregate
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!
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cpling = dzero
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ip = 0
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do k=1, nz
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j = icol(k)
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if ((1<=j).and.(j<=nr)) then
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if ((abs(val(k)) > theta*sqrt(abs(diag(i)*diag(j))))&
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& .and. (tmpaggr(j) > 0).and. (abs(val(k)) > cpling)) then
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ip = k
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cpling = abs(val(k))
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end if
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end if
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enddo
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if (ip > 0) then
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ilaggr(i) = ilaggr(icol(ip))
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end if
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end if
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end do step2
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!
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! Phase three: sweep over leftovers, if any
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!
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step3: do ii=1,nr
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i = idxs(ii)
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if (ilaggr(i) < 0) then
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nz = (acsr%irp(i+1)-acsr%irp(i))
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if (nz == 1) cycle step3
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icol(1:nz) = acsr%ja(acsr%irp(i):acsr%irp(i+1)-1)
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val(1:nz) = acsr%val(acsr%irp(i):acsr%irp(i+1)-1)
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!
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! Find its strongly connected neighbourhood not
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! already aggregated, and make it into a new aggregate.
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!
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cpling = dzero
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ip = 0
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do k=1, nz
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j = icol(k)
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if ((1<=j).and.(j<=nr)) then
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if ((abs(val(k)) > theta*sqrt(abs(diag(i)*diag(j))))&
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& .and. (ilaggr(j) < 0)) then
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ip = ip + 1
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icol(ip) = icol(k)
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end if
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end if
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enddo
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if (ip > 0) then
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icnt = icnt + 1
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naggr = naggr + 1
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ilaggr(i) = naggr
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do k=1, ip
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ilaggr(icol(k)) = naggr
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end do
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else
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!
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! This should not happen: we did not even connect with ourselves,
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! but it's not a singleton.
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!
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naggr = naggr + 1
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ilaggr(i) = naggr
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end if
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end if
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end do step3
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! Any leftovers?
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do i=1, nr
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if (ilaggr(i) < 0) then
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nz = (acsr%irp(i+1)-acsr%irp(i))
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if (nz == 1) then
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! Mark explicitly as a singleton so that
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! it will be ignored in map_to_tprol.
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! Need to use -(nrglob+nr) to make sure
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! it's still negative when shifted and combined with
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! other processes.
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ilaggr(i) = -(nrglob+nr)
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else
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info=psb_err_internal_error_
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call psb_errpush(info,name,a_err='Fatal error: non-singleton leftovers')
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goto 9999
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endif
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end if
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end do
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if (naggr > ncol) then
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!write(0,*) name,'Error : naggr > ncol',naggr,ncol
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info=psb_err_internal_error_
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call psb_errpush(info,name,a_err='Fatal error: naggr>ncol')
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goto 9999
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end if
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call psb_realloc(ncol,ilaggr,info)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='psb_realloc'
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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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allocate(nlaggr(np),stat=info)
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if (info /= psb_success_) then
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info=psb_err_alloc_request_
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call psb_errpush(info,name,i_err=(/np,izero,izero,izero,izero/),&
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& a_err='integer')
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goto 9999
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end if
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nlaggr(:) = 0
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nlaggr(me+1) = naggr
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call psb_sum(ictxt,nlaggr(1:np))
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call acsr%free()
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call psb_erractionrestore(err_act)
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return
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9999 call psb_error_handler(err_act)
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return
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end subroutine amg_z_soc1_map_bld
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