mld2p4-tpre-NewNL:
mlprec/impl/mld_caggrmat_minnrg_asb.F90 mlprec/impl/mld_caggrmat_nosmth_asb.F90 mlprec/impl/mld_caggrmat_smth_asb.F90 mlprec/impl/mld_daggrmat_minnrg_asb.F90 mlprec/impl/mld_daggrmat_nosmth_asb.F90 mlprec/impl/mld_daggrmat_smth_asb.F90 mlprec/impl/mld_saggrmat_minnrg_asb.F90 mlprec/impl/mld_saggrmat_nosmth_asb.F90 mlprec/impl/mld_saggrmat_smth_asb.F90 mlprec/impl/mld_zaggrmat_minnrg_asb.F90 mlprec/impl/mld_zaggrmat_nosmth_asb.F90 mlprec/impl/mld_zaggrmat_smth_asb.F90 MPI no longer used directly. Step 1.stopcriterion
Salvatore Filippone
13 years ago
parent
13d9fd75e8
commit
029c78bbf4
@ -0,0 +1,523 @@
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!!$
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!!$
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!!$ MLD2P4 version 2.0
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!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
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!!$ based on PSBLAS (Parallel Sparse BLAS version 3.0)
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!!$
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!!$ (C) Copyright 2008,2009,2010
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!!$
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!!$ Salvatore Filippone University of Rome Tor Vergata
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!!$ Alfredo Buttari CNRS-IRIT, Toulouse
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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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!!$
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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_caggrmat_biz_asb.F90
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!
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! Subroutine: mld_caggrmat_biz_asb
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! Version: complex
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!
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! This routine builds a coarse-level matrix A_C from a fine-level matrix A
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! by using the Galerkin approach, i.e.
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!
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! A_C = P_C^T A P_C,
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!
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! where P_C is a prolongator from the coarse level to the fine one.
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!
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! This routine builds A_C according to a "bizarre" aggregation algorithm,
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! using a "naive" prolongator proposed by the authors of MLD2P4. However, this
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! prolongator still requires a deep analysis and testing and its use is not
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! recommended.
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!
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! The coarse-level matrix A_C is distributed among the parallel processes or
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! replicated on each of them, according to the value of p%parms%coarse_mat,
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! specified by the user through mld_cprecinit and mld_zprecset.
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!
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! Arguments:
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! a - type(psb_cspmat_type), input.
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! The sparse matrix structure containing the local part of
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! the fine-level matrix.
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! desc_a - type(psb_desc_type), input.
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! The communication descriptor of the fine-level matrix.
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! p - type(mld_c_onelev_type), input/output.
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! The 'one-level' data structure that will contain the local
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! part of the matrix to be built as well as the information
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! concerning the prolongator and its transpose.
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! ilaggr - integer, dimension(:), allocatable.
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! The mapping between the row indices of the coarse-level
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! matrix and the row indices of the fine-level matrix.
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! ilaggr(i)=j means that node i in the adjacency graph
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! of the fine-level matrix is mapped onto node j in the
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! adjacency graph of the coarse-level matrix.
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! nlaggr - integer, dimension(:), allocatable.
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! nlaggr(i) contains the aggregates held by process i.
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! info - integer, output.
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! Error code.
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!
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subroutine mld_caggrmat_biz_asb(a,desc_a,ilaggr,nlaggr,p,info)
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use psb_base_mod
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use mld_c_inner_mod, mld_protect_name => mld_caggrmat_biz_asb
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implicit none
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! Arguments
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type(psb_cspmat_type), intent(in) :: a
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type(psb_desc_type), intent(in) :: desc_a
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integer, intent(inout) :: ilaggr(:), nlaggr(:)
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type(mld_c_onelev_type), intent(inout), target :: p
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integer, intent(out) :: info
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type(psb_cspmat_type) :: op_prol, op_restr, b
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! Local variables
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integer :: nrow, nglob, ncol, ntaggr, ip, ndx,&
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& naggr, nzl,naggrm1,naggrp1, i, j, k, jd, icolF, nrw
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integer ::ictxt, np, me, err_act
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character(len=20) :: name
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type(psb_cspmat_type) :: am3, am4
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type(psb_c_coo_sparse_mat) :: acoo, acoof, bcoo
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type(psb_c_csr_sparse_mat) :: acsr1, acsr2, acsr3, acsrf, ptilde
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complex(psb_spk_), allocatable :: adiag(:)
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integer(psb_ipk_) :: ierr(5)
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logical :: filter_mat
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integer :: debug_level, debug_unit
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integer, parameter :: ncmax=16
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real(psb_spk_) :: anorm, omega, tmp, dg, theta
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name='mld_aggrmat_biz_asb'
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if(psb_get_errstatus().ne.0) return
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info=psb_success_
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call psb_erractionsave(err_act)
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debug_unit = psb_get_debug_unit()
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debug_level = psb_get_debug_level()
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ictxt = desc_a%get_context()
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ictxt = desc_a%get_context()
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call psb_info(ictxt, me, np)
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nglob = desc_a%get_global_rows()
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nrow = desc_a%get_local_rows()
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ncol = desc_a%get_local_cols()
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theta = p%parms%aggr_thresh
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naggr = nlaggr(me+1)
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ntaggr = sum(nlaggr)
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naggrm1 = sum(nlaggr(1:me))
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naggrp1 = sum(nlaggr(1:me+1))
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filter_mat = (p%parms%aggr_filter == mld_filter_mat_)
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ilaggr(1:nrow) = ilaggr(1:nrow) + naggrm1
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call psb_halo(ilaggr,desc_a,info)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_halo')
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goto 9999
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end if
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! naggr: number of local aggregates
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! nrow: local rows.
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!
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allocate(adiag(ncol),stat=info)
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if (info /= psb_success_) then
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info=psb_err_alloc_request_; ierr(1)=nrow;
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call psb_errpush(info,name,i_err=ierr,a_err='complex(psb_spk_)')
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goto 9999
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end if
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! Get the diagonal D
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call a%get_diag(adiag,info)
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if (info == psb_success_) &
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& call psb_halo(adiag,desc_a,info)
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if(info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='sp_getdiag')
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goto 9999
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end if
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! 1. Allocate Ptilde in sparse matrix form
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call acoo%allocate(ncol,naggr,ncol)
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do i=1,nrow
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acoo%val(i) = cone
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acoo%ia(i) = i
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acoo%ja(i) = ilaggr(i)
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end do
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call acoo%set_nzeros(nrow)
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call acoo%set_dupl(psb_dupl_add_)
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call ptilde%mv_from_coo(acoo,info)
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if (info == psb_success_) call a%cscnv(acsr3,info,dupl=psb_dupl_add_)
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Initial copies sone.'
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if (filter_mat) then
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!
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! Build the filtered matrix Af from A
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!
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if (info == psb_success_) call a%cscnv(acsrf,info,dupl=psb_dupl_add_)
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do i=1,nrow
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tmp = czero
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jd = -1
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do j=acsrf%irp(i),acsrf%irp(i+1)-1
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if (acsrf%ja(j) == i) jd = j
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if (abs(acsrf%val(j)) < theta*sqrt(abs(adiag(i)*adiag(acsrf%ja(j))))) then
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tmp=tmp+acsrf%val(j)
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acsrf%val(j)=czero
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endif
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enddo
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if (jd == -1) then
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write(0,*) 'Wrong input: we need the diagonal!!!!', i
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else
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acsrf%val(jd)=acsrf%val(jd)-tmp
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end if
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enddo
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! Take out zeroed terms
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call acsrf%mv_to_coo(acoof,info)
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k = 0
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do j=1,acoof%get_nzeros()
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if ((acoof%val(j) /= czero) .or. (acoof%ia(j) == acoof%ja(j))) then
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k = k + 1
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acoof%val(k) = acoof%val(j)
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acoof%ia(k) = acoof%ia(j)
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acoof%ja(k) = acoof%ja(j)
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end if
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end do
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call acoof%set_nzeros(k)
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call acoof%set_dupl(psb_dupl_add_)
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call acsrf%mv_from_coo(acoof,info)
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end if
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do i=1,size(adiag)
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if (adiag(i) /= czero) then
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adiag(i) = cone / adiag(i)
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else
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adiag(i) = cone
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end if
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end do
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if (filter_mat) call acsrf%scal(adiag,info)
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if (info == psb_success_) call acsr3%scal(adiag,info)
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if (info /= psb_success_) goto 9999
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if (p%parms%aggr_omega_alg == mld_eig_est_) then
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if (p%parms%aggr_eig == mld_max_norm_) then
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!
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! This only works with CSR
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!
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anorm = szero
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dg = sone
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nrw = acsr3%get_nrows()
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do i=1, nrw
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tmp = szero
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do j=acsr3%irp(i),acsr3%irp(i+1)-1
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if (acsr3%ja(j) <= nrw) then
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tmp = tmp + abs(acsr3%val(j))
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endif
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if (acsr3%ja(j) == i ) then
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dg = abs(acsr3%val(j))
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end if
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end do
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anorm = max(anorm,tmp/dg)
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enddo
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call psb_amx(ictxt,anorm)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_internal_error_,name,a_err='Invalid AM3 storage format')
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goto 9999
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end if
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omega = 4.d0/(3.d0*anorm)
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p%parms%aggr_omega_val = omega
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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='invalid mld_aggr_eig_')
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goto 9999
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end if
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else if (p%parms%aggr_omega_alg == mld_user_choice_) then
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omega = p%parms%aggr_omega_val
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else if (p%parms%aggr_omega_alg /= mld_user_choice_) then
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info = psb_err_internal_error_
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call psb_errpush(info,name,a_err='invalid mld_aggr_omega_alg_')
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goto 9999
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end if
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if (filter_mat) then
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!
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! Build the smoothed prolongator using the filtered matrix
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!
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do i=1,acsrf%get_nrows()
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do j=acsrf%irp(i),acsrf%irp(i+1)-1
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if (acsrf%ja(j) == i) then
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acsrf%val(j) = cone - omega*acsrf%val(j)
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else
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acsrf%val(j) = - omega*acsrf%val(j)
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end if
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end do
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end do
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& 'Done gather, going for SYMBMM 1'
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!
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! Symbmm90 does the allocation for its result.
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!
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! acsrm1 = (I-w*D*Af)Ptilde
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! Doing it this way means to consider diag(Af_i)
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!
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!
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call psb_symbmm(acsrf,ptilde,acsr1,info)
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if(info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 1')
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goto 9999
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end if
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call psb_numbmm(acsrf,ptilde,acsr1)
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& 'Done NUMBMM 1'
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else
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!
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! Build the smoothed prolongator using the original matrix
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!
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do i=1,acsr3%get_nrows()
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do j=acsr3%irp(i),acsr3%irp(i+1)-1
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if (acsr3%ja(j) == i) then
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acsr3%val(j) = cone - omega*acsr3%val(j)
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else
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acsr3%val(j) = - omega*acsr3%val(j)
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end if
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end do
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end do
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& 'Done gather, going for SYMBMM 1'
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!
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! Symbmm90 does the allocation for its result.
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!
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! acsrm1 = (I-w*D*A)Ptilde
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! Doing it this way means to consider diag(A_i)
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!
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!
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call psb_symbmm(acsr3,ptilde,acsr1,info)
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if(info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 1')
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goto 9999
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end if
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call psb_numbmm(acsr3,ptilde,acsr1)
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& 'Done NUMBMM 1'
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end if
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call ptilde%free()
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call acsr1%set_dupl(psb_dupl_add_)
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call op_prol%mv_from(acsr1)
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call psb_rwextd(ncol,op_prol,info)
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if(info /= psb_success_) then
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call psb_errpush(psb_err_internal_error_,name,a_err='Halo of op_prol')
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goto 9999
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end if
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call psb_symbmm(a,op_prol,am3,info)
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if(info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 2')
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goto 9999
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end if
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call psb_numbmm(a,op_prol,am3)
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& 'Done NUMBMM 2',p%parms%aggr_kind, mld_smooth_prol_
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call op_prol%transp(op_restr)
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& 'starting sphalo/ rwxtd'
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call psb_rwextd(ncol,am3,info)
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if(info /= psb_success_) then
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call psb_errpush(psb_err_internal_error_,name,a_err='Extend am3')
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goto 9999
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end if
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& 'starting symbmm 3'
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call psb_symbmm(op_restr,am3,b,info)
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if (info == psb_success_) call psb_numbmm(op_restr,am3,b)
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if (info == psb_success_) call am3%free()
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if (info == psb_success_) call b%cscnv(info,type='coo',dupl=psb_dupl_add_)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_internal_error_,name,a_err='Build b = op_restr x am3')
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goto 9999
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end if
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select case(p%parms%coarse_mat)
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case(mld_distr_mat_)
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nzl = b%get_nzeros()
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call b%mv_to(bcoo)
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if (info == psb_success_) call psb_cdall(ictxt,p%desc_ac,info,nl=nlaggr(me+1))
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if (info == psb_success_) call psb_cdins(nzl,bcoo%ia,bcoo%ja,p%desc_ac,info)
|
||||
if (info == psb_success_) call psb_cdasb(p%desc_ac,info)
|
||||
if (info == psb_success_) call psb_glob_to_loc(bcoo%ia(1:nzl),p%desc_ac,info,iact='I')
|
||||
if (info == psb_success_) call psb_glob_to_loc(bcoo%ja(1:nzl),p%desc_ac,info,iact='I')
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,&
|
||||
& a_err='Creating p%desc_ac and converting ac')
|
||||
goto 9999
|
||||
end if
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Assembld aux descr. distr.'
|
||||
call p%ac%mv_from(bcoo)
|
||||
|
||||
call p%ac%set_nrows(p%desc_ac%get_local_rows())
|
||||
call p%ac%set_ncols(p%desc_ac%get_local_cols())
|
||||
call p%ac%set_asb()
|
||||
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_sp_free')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
if (np>1) then
|
||||
call op_prol%mv_to(acsr1)
|
||||
nzl = acsr1%get_nzeros()
|
||||
call psb_glob_to_loc(acsr1%ja(1:nzl),p%desc_ac,info,'I')
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_glob_to_loc')
|
||||
goto 9999
|
||||
end if
|
||||
call op_prol%mv_from(acsr1)
|
||||
endif
|
||||
call op_prol%set_ncols(p%desc_ac%get_local_cols())
|
||||
|
||||
if (np>1) then
|
||||
call op_restr%cscnv(info,type='coo',dupl=psb_dupl_add_)
|
||||
call op_restr%mv_to(acoo)
|
||||
nzl = acoo%get_nzeros()
|
||||
if (info == psb_success_) call psb_glob_to_loc(acoo%ia(1:nzl),p%desc_ac,info,'I')
|
||||
call acoo%set_dupl(psb_dupl_add_)
|
||||
if (info == psb_success_) call op_restr%mv_from(acoo)
|
||||
if (info == psb_success_) call op_restr%cscnv(info,type='csr')
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Converting op_restr to local')
|
||||
goto 9999
|
||||
end if
|
||||
end if
|
||||
call op_restr%set_nrows(p%desc_ac%get_local_cols())
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done ac '
|
||||
|
||||
case(mld_repl_mat_)
|
||||
!
|
||||
!
|
||||
call psb_cdall(ictxt,p%desc_ac,info,mg=ntaggr,repl=.true.)
|
||||
if (info == psb_success_) call psb_cdasb(p%desc_ac,info)
|
||||
if (info == psb_success_) &
|
||||
& call psb_gather(p%ac,b,p%desc_ac,info,dupl=psb_dupl_add_,keeploc=.false.)
|
||||
|
||||
if (info /= psb_success_) goto 9999
|
||||
|
||||
case default
|
||||
info = psb_err_internal_error_
|
||||
call psb_errpush(info,name,a_err='invalid mld_coarse_mat_')
|
||||
goto 9999
|
||||
end select
|
||||
|
||||
|
||||
|
||||
call p%ac%cscnv(info,type='csr',dupl=psb_dupl_add_)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='spcnv')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
!
|
||||
! Copy the prolongation/restriction matrices into the descriptor map.
|
||||
! op_restr => PR^T i.e. restriction operator
|
||||
! op_prol => PR i.e. prolongation operator
|
||||
!
|
||||
|
||||
p%map = psb_linmap(psb_map_aggr_,desc_a,&
|
||||
& p%desc_ac,op_restr,op_prol,ilaggr,nlaggr)
|
||||
if (info == psb_success_) call op_prol%free()
|
||||
if (info == psb_success_) call op_restr%free()
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='sp_Free')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done smooth_aggregate '
|
||||
call psb_erractionrestore(err_act)
|
||||
return
|
||||
|
||||
9999 continue
|
||||
call psb_errpush(info,name)
|
||||
call psb_erractionrestore(err_act)
|
||||
if (err_act.eq.psb_act_abort_) then
|
||||
call psb_error()
|
||||
return
|
||||
end if
|
||||
return
|
||||
|
||||
|
||||
|
||||
end subroutine mld_caggrmat_biz_asb
|
||||
@ -0,0 +1,523 @@
|
||||
!!$
|
||||
!!$
|
||||
!!$ MLD2P4 version 2.0
|
||||
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
||||
!!$ based on PSBLAS (Parallel Sparse BLAS version 3.0)
|
||||
!!$
|
||||
!!$ (C) Copyright 2008,2009,2010
|
||||
!!$
|
||||
!!$ Salvatore Filippone University of Rome Tor Vergata
|
||||
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
|
||||
!!$ Pasqua D'Ambra ICAR-CNR, Naples
|
||||
!!$ Daniela di Serafino Second University of Naples
|
||||
!!$
|
||||
!!$ Redistribution and use in source and binary forms, with or without
|
||||
!!$ modification, are permitted provided that the following conditions
|
||||
!!$ are met:
|
||||
!!$ 1. Redistributions of source code must retain the above copyright
|
||||
!!$ notice, this list of conditions and the following disclaimer.
|
||||
!!$ 2. Redistributions in binary form must reproduce the above copyright
|
||||
!!$ notice, this list of conditions, and the following disclaimer in the
|
||||
!!$ documentation and/or other materials provided with the distribution.
|
||||
!!$ 3. The name of the MLD2P4 group or the names of its contributors may
|
||||
!!$ not be used to endorse or promote products derived from this
|
||||
!!$ software without specific written permission.
|
||||
!!$
|
||||
!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
||||
!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
|
||||
!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
||||
!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
|
||||
!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
||||
!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
||||
!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
||||
!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
||||
!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
||||
!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
||||
!!$ POSSIBILITY OF SUCH DAMAGE.
|
||||
!!$
|
||||
!!$
|
||||
! File: mld_daggrmat_biz_asb.F90
|
||||
!
|
||||
! Subroutine: mld_daggrmat_biz_asb
|
||||
! Version: real
|
||||
!
|
||||
! This routine builds a coarse-level matrix A_C from a fine-level matrix A
|
||||
! by using the Galerkin approach, i.e.
|
||||
!
|
||||
! A_C = P_C^T A P_C,
|
||||
!
|
||||
! where P_C is a prolongator from the coarse level to the fine one.
|
||||
!
|
||||
! This routine builds A_C according to a "bizarre" aggregation algorithm,
|
||||
! using a "naive" prolongator proposed by the authors of MLD2P4. However, this
|
||||
! prolongator still requires a deep analysis and testing and its use is not
|
||||
! recommended.
|
||||
!
|
||||
! The coarse-level matrix A_C is distributed among the parallel processes or
|
||||
! replicated on each of them, according to the value of p%parms%coarse_mat,
|
||||
! specified by the user through mld_dprecinit and mld_zprecset.
|
||||
!
|
||||
! Arguments:
|
||||
! a - type(psb_dspmat_type), input.
|
||||
! The sparse matrix structure containing the local part of
|
||||
! the fine-level matrix.
|
||||
! desc_a - type(psb_desc_type), input.
|
||||
! The communication descriptor of the fine-level matrix.
|
||||
! p - type(mld_d_onelev_type), input/output.
|
||||
! The 'one-level' data structure that will contain the local
|
||||
! part of the matrix to be built as well as the information
|
||||
! concerning the prolongator and its transpose.
|
||||
! ilaggr - integer, dimension(:), allocatable.
|
||||
! The mapping between the row indices of the coarse-level
|
||||
! matrix and the row indices of the fine-level matrix.
|
||||
! ilaggr(i)=j means that node i in the adjacency graph
|
||||
! of the fine-level matrix is mapped onto node j in the
|
||||
! adjacency graph of the coarse-level matrix.
|
||||
! nlaggr - integer, dimension(:), allocatable.
|
||||
! nlaggr(i) contains the aggregates held by process i.
|
||||
! info - integer, output.
|
||||
! Error code.
|
||||
!
|
||||
subroutine mld_daggrmat_biz_asb(a,desc_a,ilaggr,nlaggr,p,info)
|
||||
use psb_base_mod
|
||||
use mld_d_inner_mod, mld_protect_name => mld_daggrmat_biz_asb
|
||||
|
||||
implicit none
|
||||
|
||||
! Arguments
|
||||
type(psb_dspmat_type), intent(in) :: a
|
||||
type(psb_desc_type), intent(in) :: desc_a
|
||||
integer, intent(inout) :: ilaggr(:), nlaggr(:)
|
||||
type(mld_d_onelev_type), intent(inout), target :: p
|
||||
integer, intent(out) :: info
|
||||
type(psb_dspmat_type) :: op_prol, op_restr, b
|
||||
|
||||
! Local variables
|
||||
integer :: nrow, nglob, ncol, ntaggr, ip, ndx,&
|
||||
& naggr, nzl,naggrm1,naggrp1, i, j, k, jd, icolF, nrw
|
||||
integer ::ictxt, np, me, err_act
|
||||
character(len=20) :: name
|
||||
type(psb_dspmat_type) :: am3, am4
|
||||
type(psb_d_coo_sparse_mat) :: acoo, acoof, bcoo
|
||||
type(psb_d_csr_sparse_mat) :: acsr1, acsr2, acsr3, acsrf, ptilde
|
||||
real(psb_dpk_), allocatable :: adiag(:)
|
||||
integer(psb_ipk_) :: ierr(5)
|
||||
logical :: filter_mat
|
||||
integer :: debug_level, debug_unit
|
||||
integer, parameter :: ncmax=16
|
||||
real(psb_dpk_) :: anorm, omega, tmp, dg, theta
|
||||
|
||||
name='mld_aggrmat_biz_asb'
|
||||
if(psb_get_errstatus().ne.0) return
|
||||
info=psb_success_
|
||||
call psb_erractionsave(err_act)
|
||||
debug_unit = psb_get_debug_unit()
|
||||
debug_level = psb_get_debug_level()
|
||||
|
||||
ictxt = desc_a%get_context()
|
||||
ictxt = desc_a%get_context()
|
||||
|
||||
call psb_info(ictxt, me, np)
|
||||
|
||||
nglob = desc_a%get_global_rows()
|
||||
nrow = desc_a%get_local_rows()
|
||||
ncol = desc_a%get_local_cols()
|
||||
|
||||
theta = p%parms%aggr_thresh
|
||||
|
||||
naggr = nlaggr(me+1)
|
||||
ntaggr = sum(nlaggr)
|
||||
|
||||
naggrm1 = sum(nlaggr(1:me))
|
||||
naggrp1 = sum(nlaggr(1:me+1))
|
||||
|
||||
filter_mat = (p%parms%aggr_filter == mld_filter_mat_)
|
||||
|
||||
ilaggr(1:nrow) = ilaggr(1:nrow) + naggrm1
|
||||
call psb_halo(ilaggr,desc_a,info)
|
||||
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_halo')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! naggr: number of local aggregates
|
||||
! nrow: local rows.
|
||||
!
|
||||
allocate(adiag(ncol),stat=info)
|
||||
|
||||
if (info /= psb_success_) then
|
||||
info=psb_err_alloc_request_; ierr(1)=nrow;
|
||||
call psb_errpush(info,name,i_err=ierr,a_err='real(psb_dpk_)')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! Get the diagonal D
|
||||
call a%get_diag(adiag,info)
|
||||
if (info == psb_success_) &
|
||||
& call psb_halo(adiag,desc_a,info)
|
||||
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='sp_getdiag')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! 1. Allocate Ptilde in sparse matrix form
|
||||
call acoo%allocate(ncol,naggr,ncol)
|
||||
do i=1,nrow
|
||||
acoo%val(i) = done
|
||||
acoo%ia(i) = i
|
||||
acoo%ja(i) = ilaggr(i)
|
||||
end do
|
||||
call acoo%set_nzeros(nrow)
|
||||
call acoo%set_dupl(psb_dupl_add_)
|
||||
|
||||
call ptilde%mv_from_coo(acoo,info)
|
||||
if (info == psb_success_) call a%cscnv(acsr3,info,dupl=psb_dupl_add_)
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& ' Initial copies sone.'
|
||||
|
||||
if (filter_mat) then
|
||||
!
|
||||
! Build the filtered matrix Af from A
|
||||
!
|
||||
if (info == psb_success_) call a%cscnv(acsrf,info,dupl=psb_dupl_add_)
|
||||
|
||||
do i=1,nrow
|
||||
tmp = dzero
|
||||
jd = -1
|
||||
do j=acsrf%irp(i),acsrf%irp(i+1)-1
|
||||
if (acsrf%ja(j) == i) jd = j
|
||||
if (abs(acsrf%val(j)) < theta*sqrt(abs(adiag(i)*adiag(acsrf%ja(j))))) then
|
||||
tmp=tmp+acsrf%val(j)
|
||||
acsrf%val(j)=dzero
|
||||
endif
|
||||
|
||||
enddo
|
||||
if (jd == -1) then
|
||||
write(0,*) 'Wrong input: we need the diagonal!!!!', i
|
||||
else
|
||||
acsrf%val(jd)=acsrf%val(jd)-tmp
|
||||
end if
|
||||
enddo
|
||||
! Take out zeroed terms
|
||||
call acsrf%mv_to_coo(acoof,info)
|
||||
k = 0
|
||||
do j=1,acoof%get_nzeros()
|
||||
if ((acoof%val(j) /= dzero) .or. (acoof%ia(j) == acoof%ja(j))) then
|
||||
k = k + 1
|
||||
acoof%val(k) = acoof%val(j)
|
||||
acoof%ia(k) = acoof%ia(j)
|
||||
acoof%ja(k) = acoof%ja(j)
|
||||
end if
|
||||
end do
|
||||
call acoof%set_nzeros(k)
|
||||
call acoof%set_dupl(psb_dupl_add_)
|
||||
call acsrf%mv_from_coo(acoof,info)
|
||||
end if
|
||||
|
||||
|
||||
do i=1,size(adiag)
|
||||
if (adiag(i) /= dzero) then
|
||||
adiag(i) = done / adiag(i)
|
||||
else
|
||||
adiag(i) = done
|
||||
end if
|
||||
end do
|
||||
|
||||
if (filter_mat) call acsrf%scal(adiag,info)
|
||||
if (info == psb_success_) call acsr3%scal(adiag,info)
|
||||
if (info /= psb_success_) goto 9999
|
||||
|
||||
|
||||
if (p%parms%aggr_omega_alg == mld_eig_est_) then
|
||||
|
||||
if (p%parms%aggr_eig == mld_max_norm_) then
|
||||
|
||||
!
|
||||
! This only works with CSR
|
||||
!
|
||||
anorm = dzero
|
||||
dg = done
|
||||
nrw = acsr3%get_nrows()
|
||||
do i=1, nrw
|
||||
tmp = dzero
|
||||
do j=acsr3%irp(i),acsr3%irp(i+1)-1
|
||||
if (acsr3%ja(j) <= nrw) then
|
||||
tmp = tmp + abs(acsr3%val(j))
|
||||
endif
|
||||
if (acsr3%ja(j) == i ) then
|
||||
dg = abs(acsr3%val(j))
|
||||
end if
|
||||
end do
|
||||
anorm = max(anorm,tmp/dg)
|
||||
enddo
|
||||
|
||||
call psb_amx(ictxt,anorm)
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Invalid AM3 storage format')
|
||||
goto 9999
|
||||
end if
|
||||
omega = 4.d0/(3.d0*anorm)
|
||||
p%parms%aggr_omega_val = omega
|
||||
|
||||
else
|
||||
info = psb_err_internal_error_
|
||||
call psb_errpush(info,name,a_err='invalid mld_aggr_eig_')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
else if (p%parms%aggr_omega_alg == mld_user_choice_) then
|
||||
|
||||
omega = p%parms%aggr_omega_val
|
||||
|
||||
else if (p%parms%aggr_omega_alg /= mld_user_choice_) then
|
||||
info = psb_err_internal_error_
|
||||
call psb_errpush(info,name,a_err='invalid mld_aggr_omega_alg_')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
if (filter_mat) then
|
||||
!
|
||||
! Build the smoothed prolongator using the filtered matrix
|
||||
!
|
||||
do i=1,acsrf%get_nrows()
|
||||
do j=acsrf%irp(i),acsrf%irp(i+1)-1
|
||||
if (acsrf%ja(j) == i) then
|
||||
acsrf%val(j) = done - omega*acsrf%val(j)
|
||||
else
|
||||
acsrf%val(j) = - omega*acsrf%val(j)
|
||||
end if
|
||||
end do
|
||||
end do
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done gather, going for SYMBMM 1'
|
||||
!
|
||||
! Symbmm90 does the allocation for its result.
|
||||
!
|
||||
! acsrm1 = (I-w*D*Af)Ptilde
|
||||
! Doing it this way means to consider diag(Af_i)
|
||||
!
|
||||
!
|
||||
call psb_symbmm(acsrf,ptilde,acsr1,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 1')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_numbmm(acsrf,ptilde,acsr1)
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done NUMBMM 1'
|
||||
|
||||
else
|
||||
!
|
||||
! Build the smoothed prolongator using the original matrix
|
||||
!
|
||||
do i=1,acsr3%get_nrows()
|
||||
do j=acsr3%irp(i),acsr3%irp(i+1)-1
|
||||
if (acsr3%ja(j) == i) then
|
||||
acsr3%val(j) = done - omega*acsr3%val(j)
|
||||
else
|
||||
acsr3%val(j) = - omega*acsr3%val(j)
|
||||
end if
|
||||
end do
|
||||
end do
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done gather, going for SYMBMM 1'
|
||||
!
|
||||
! Symbmm90 does the allocation for its result.
|
||||
!
|
||||
! acsrm1 = (I-w*D*A)Ptilde
|
||||
! Doing it this way means to consider diag(A_i)
|
||||
!
|
||||
!
|
||||
call psb_symbmm(acsr3,ptilde,acsr1,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 1')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_numbmm(acsr3,ptilde,acsr1)
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done NUMBMM 1'
|
||||
|
||||
end if
|
||||
call ptilde%free()
|
||||
call acsr1%set_dupl(psb_dupl_add_)
|
||||
|
||||
call op_prol%mv_from(acsr1)
|
||||
|
||||
call psb_rwextd(ncol,op_prol,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Halo of op_prol')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_symbmm(a,op_prol,am3,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 2')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_numbmm(a,op_prol,am3)
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done NUMBMM 2',p%parms%aggr_kind, mld_smooth_prol_
|
||||
|
||||
call op_prol%transp(op_restr)
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'starting sphalo/ rwxtd'
|
||||
|
||||
call psb_rwextd(ncol,am3,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Extend am3')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'starting symbmm 3'
|
||||
call psb_symbmm(op_restr,am3,b,info)
|
||||
if (info == psb_success_) call psb_numbmm(op_restr,am3,b)
|
||||
if (info == psb_success_) call am3%free()
|
||||
if (info == psb_success_) call b%cscnv(info,type='coo',dupl=psb_dupl_add_)
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Build b = op_restr x am3')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
|
||||
|
||||
|
||||
select case(p%parms%coarse_mat)
|
||||
|
||||
case(mld_distr_mat_)
|
||||
|
||||
nzl = b%get_nzeros()
|
||||
call b%mv_to(bcoo)
|
||||
|
||||
if (info == psb_success_) call psb_cdall(ictxt,p%desc_ac,info,nl=nlaggr(me+1))
|
||||
if (info == psb_success_) call psb_cdins(nzl,bcoo%ia,bcoo%ja,p%desc_ac,info)
|
||||
if (info == psb_success_) call psb_cdasb(p%desc_ac,info)
|
||||
if (info == psb_success_) call psb_glob_to_loc(bcoo%ia(1:nzl),p%desc_ac,info,iact='I')
|
||||
if (info == psb_success_) call psb_glob_to_loc(bcoo%ja(1:nzl),p%desc_ac,info,iact='I')
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,&
|
||||
& a_err='Creating p%desc_ac and converting ac')
|
||||
goto 9999
|
||||
end if
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Assembld aux descr. distr.'
|
||||
call p%ac%mv_from(bcoo)
|
||||
|
||||
call p%ac%set_nrows(p%desc_ac%get_local_rows())
|
||||
call p%ac%set_ncols(p%desc_ac%get_local_cols())
|
||||
call p%ac%set_asb()
|
||||
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_sp_free')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
if (np>1) then
|
||||
call op_prol%mv_to(acsr1)
|
||||
nzl = acsr1%get_nzeros()
|
||||
call psb_glob_to_loc(acsr1%ja(1:nzl),p%desc_ac,info,'I')
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_glob_to_loc')
|
||||
goto 9999
|
||||
end if
|
||||
call op_prol%mv_from(acsr1)
|
||||
endif
|
||||
call op_prol%set_ncols(p%desc_ac%get_local_cols())
|
||||
|
||||
if (np>1) then
|
||||
call op_restr%cscnv(info,type='coo',dupl=psb_dupl_add_)
|
||||
call op_restr%mv_to(acoo)
|
||||
nzl = acoo%get_nzeros()
|
||||
if (info == psb_success_) call psb_glob_to_loc(acoo%ia(1:nzl),p%desc_ac,info,'I')
|
||||
call acoo%set_dupl(psb_dupl_add_)
|
||||
if (info == psb_success_) call op_restr%mv_from(acoo)
|
||||
if (info == psb_success_) call op_restr%cscnv(info,type='csr')
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Converting op_restr to local')
|
||||
goto 9999
|
||||
end if
|
||||
end if
|
||||
call op_restr%set_nrows(p%desc_ac%get_local_cols())
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done ac '
|
||||
|
||||
case(mld_repl_mat_)
|
||||
!
|
||||
!
|
||||
call psb_cdall(ictxt,p%desc_ac,info,mg=ntaggr,repl=.true.)
|
||||
if (info == psb_success_) call psb_cdasb(p%desc_ac,info)
|
||||
if (info == psb_success_) &
|
||||
& call psb_gather(p%ac,b,p%desc_ac,info,dupl=psb_dupl_add_,keeploc=.false.)
|
||||
|
||||
if (info /= psb_success_) goto 9999
|
||||
|
||||
case default
|
||||
info = psb_err_internal_error_
|
||||
call psb_errpush(info,name,a_err='invalid mld_coarse_mat_')
|
||||
goto 9999
|
||||
end select
|
||||
|
||||
|
||||
|
||||
call p%ac%cscnv(info,type='csr',dupl=psb_dupl_add_)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='spcnv')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
!
|
||||
! Copy the prolongation/restriction matrices into the descriptor map.
|
||||
! op_restr => PR^T i.e. restriction operator
|
||||
! op_prol => PR i.e. prolongation operator
|
||||
!
|
||||
|
||||
p%map = psb_linmap(psb_map_aggr_,desc_a,&
|
||||
& p%desc_ac,op_restr,op_prol,ilaggr,nlaggr)
|
||||
if (info == psb_success_) call op_prol%free()
|
||||
if (info == psb_success_) call op_restr%free()
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='sp_Free')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done smooth_aggregate '
|
||||
call psb_erractionrestore(err_act)
|
||||
return
|
||||
|
||||
9999 continue
|
||||
call psb_errpush(info,name)
|
||||
call psb_erractionrestore(err_act)
|
||||
if (err_act.eq.psb_act_abort_) then
|
||||
call psb_error()
|
||||
return
|
||||
end if
|
||||
return
|
||||
|
||||
|
||||
|
||||
end subroutine mld_daggrmat_biz_asb
|
||||
@ -0,0 +1,523 @@
|
||||
!!$
|
||||
!!$
|
||||
!!$ MLD2P4 version 2.0
|
||||
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
||||
!!$ based on PSBLAS (Parallel Sparse BLAS version 3.0)
|
||||
!!$
|
||||
!!$ (C) Copyright 2008,2009,2010
|
||||
!!$
|
||||
!!$ Salvatore Filippone University of Rome Tor Vergata
|
||||
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
|
||||
!!$ Pasqua D'Ambra ICAR-CNR, Naples
|
||||
!!$ Daniela di Serafino Second University of Naples
|
||||
!!$
|
||||
!!$ Redistribution and use in source and binary forms, with or without
|
||||
!!$ modification, are permitted provided that the following conditions
|
||||
!!$ are met:
|
||||
!!$ 1. Redistributions of source code must retain the above copyright
|
||||
!!$ notice, this list of conditions and the following disclaimer.
|
||||
!!$ 2. Redistributions in binary form must reproduce the above copyright
|
||||
!!$ notice, this list of conditions, and the following disclaimer in the
|
||||
!!$ documentation and/or other materials provided with the distribution.
|
||||
!!$ 3. The name of the MLD2P4 group or the names of its contributors may
|
||||
!!$ not be used to endorse or promote products derived from this
|
||||
!!$ software without specific written permission.
|
||||
!!$
|
||||
!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
||||
!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
|
||||
!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
||||
!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
|
||||
!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
||||
!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
||||
!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
||||
!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
||||
!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
||||
!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
||||
!!$ POSSIBILITY OF SUCH DAMAGE.
|
||||
!!$
|
||||
!!$
|
||||
! File: mld_saggrmat_biz_asb.F90
|
||||
!
|
||||
! Subroutine: mld_saggrmat_biz_asb
|
||||
! Version: real
|
||||
!
|
||||
! This routine builds a coarse-level matrix A_C from a fine-level matrix A
|
||||
! by using the Galerkin approach, i.e.
|
||||
!
|
||||
! A_C = P_C^T A P_C,
|
||||
!
|
||||
! where P_C is a prolongator from the coarse level to the fine one.
|
||||
!
|
||||
! This routine builds A_C according to a "bizarre" aggregation algorithm,
|
||||
! using a "naive" prolongator proposed by the authors of MLD2P4. However, this
|
||||
! prolongator still requires a deep analysis and testing and its use is not
|
||||
! recommended.
|
||||
!
|
||||
! The coarse-level matrix A_C is distributed among the parallel processes or
|
||||
! replicated on each of them, according to the value of p%parms%coarse_mat,
|
||||
! specified by the user through mld_sprecinit and mld_zprecset.
|
||||
!
|
||||
! Arguments:
|
||||
! a - type(psb_sspmat_type), input.
|
||||
! The sparse matrix structure containing the local part of
|
||||
! the fine-level matrix.
|
||||
! desc_a - type(psb_desc_type), input.
|
||||
! The communication descriptor of the fine-level matrix.
|
||||
! p - type(mld_s_onelev_type), input/output.
|
||||
! The 'one-level' data structure that will contain the local
|
||||
! part of the matrix to be built as well as the information
|
||||
! concerning the prolongator and its transpose.
|
||||
! ilaggr - integer, dimension(:), allocatable.
|
||||
! The mapping between the row indices of the coarse-level
|
||||
! matrix and the row indices of the fine-level matrix.
|
||||
! ilaggr(i)=j means that node i in the adjacency graph
|
||||
! of the fine-level matrix is mapped onto node j in the
|
||||
! adjacency graph of the coarse-level matrix.
|
||||
! nlaggr - integer, dimension(:), allocatable.
|
||||
! nlaggr(i) contains the aggregates held by process i.
|
||||
! info - integer, output.
|
||||
! Error code.
|
||||
!
|
||||
subroutine mld_saggrmat_biz_asb(a,desc_a,ilaggr,nlaggr,p,info)
|
||||
use psb_base_mod
|
||||
use mld_s_inner_mod, mld_protect_name => mld_saggrmat_biz_asb
|
||||
|
||||
implicit none
|
||||
|
||||
! Arguments
|
||||
type(psb_sspmat_type), intent(in) :: a
|
||||
type(psb_desc_type), intent(in) :: desc_a
|
||||
integer, intent(inout) :: ilaggr(:), nlaggr(:)
|
||||
type(mld_s_onelev_type), intent(inout), target :: p
|
||||
integer, intent(out) :: info
|
||||
type(psb_sspmat_type) :: op_prol, op_restr, b
|
||||
|
||||
! Local variables
|
||||
integer :: nrow, nglob, ncol, ntaggr, ip, ndx,&
|
||||
& naggr, nzl,naggrm1,naggrp1, i, j, k, jd, icolF, nrw
|
||||
integer ::ictxt, np, me, err_act
|
||||
character(len=20) :: name
|
||||
type(psb_sspmat_type) :: am3, am4
|
||||
type(psb_s_coo_sparse_mat) :: acoo, acoof, bcoo
|
||||
type(psb_s_csr_sparse_mat) :: acsr1, acsr2, acsr3, acsrf, ptilde
|
||||
real(psb_spk_), allocatable :: adiag(:)
|
||||
integer(psb_ipk_) :: ierr(5)
|
||||
logical :: filter_mat
|
||||
integer :: debug_level, debug_unit
|
||||
integer, parameter :: ncmax=16
|
||||
real(psb_spk_) :: anorm, omega, tmp, dg, theta
|
||||
|
||||
name='mld_aggrmat_biz_asb'
|
||||
if(psb_get_errstatus().ne.0) return
|
||||
info=psb_success_
|
||||
call psb_erractionsave(err_act)
|
||||
debug_unit = psb_get_debug_unit()
|
||||
debug_level = psb_get_debug_level()
|
||||
|
||||
ictxt = desc_a%get_context()
|
||||
ictxt = desc_a%get_context()
|
||||
|
||||
call psb_info(ictxt, me, np)
|
||||
|
||||
nglob = desc_a%get_global_rows()
|
||||
nrow = desc_a%get_local_rows()
|
||||
ncol = desc_a%get_local_cols()
|
||||
|
||||
theta = p%parms%aggr_thresh
|
||||
|
||||
naggr = nlaggr(me+1)
|
||||
ntaggr = sum(nlaggr)
|
||||
|
||||
naggrm1 = sum(nlaggr(1:me))
|
||||
naggrp1 = sum(nlaggr(1:me+1))
|
||||
|
||||
filter_mat = (p%parms%aggr_filter == mld_filter_mat_)
|
||||
|
||||
ilaggr(1:nrow) = ilaggr(1:nrow) + naggrm1
|
||||
call psb_halo(ilaggr,desc_a,info)
|
||||
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_halo')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! naggr: number of local aggregates
|
||||
! nrow: local rows.
|
||||
!
|
||||
allocate(adiag(ncol),stat=info)
|
||||
|
||||
if (info /= psb_success_) then
|
||||
info=psb_err_alloc_request_; ierr(1)=nrow;
|
||||
call psb_errpush(info,name,i_err=ierr,a_err='real(psb_spk_)')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! Get the diagonal D
|
||||
call a%get_diag(adiag,info)
|
||||
if (info == psb_success_) &
|
||||
& call psb_halo(adiag,desc_a,info)
|
||||
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='sp_getdiag')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! 1. Allocate Ptilde in sparse matrix form
|
||||
call acoo%allocate(ncol,naggr,ncol)
|
||||
do i=1,nrow
|
||||
acoo%val(i) = sone
|
||||
acoo%ia(i) = i
|
||||
acoo%ja(i) = ilaggr(i)
|
||||
end do
|
||||
call acoo%set_nzeros(nrow)
|
||||
call acoo%set_dupl(psb_dupl_add_)
|
||||
|
||||
call ptilde%mv_from_coo(acoo,info)
|
||||
if (info == psb_success_) call a%cscnv(acsr3,info,dupl=psb_dupl_add_)
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& ' Initial copies sone.'
|
||||
|
||||
if (filter_mat) then
|
||||
!
|
||||
! Build the filtered matrix Af from A
|
||||
!
|
||||
if (info == psb_success_) call a%cscnv(acsrf,info,dupl=psb_dupl_add_)
|
||||
|
||||
do i=1,nrow
|
||||
tmp = szero
|
||||
jd = -1
|
||||
do j=acsrf%irp(i),acsrf%irp(i+1)-1
|
||||
if (acsrf%ja(j) == i) jd = j
|
||||
if (abs(acsrf%val(j)) < theta*sqrt(abs(adiag(i)*adiag(acsrf%ja(j))))) then
|
||||
tmp=tmp+acsrf%val(j)
|
||||
acsrf%val(j)=szero
|
||||
endif
|
||||
|
||||
enddo
|
||||
if (jd == -1) then
|
||||
write(0,*) 'Wrong input: we need the diagonal!!!!', i
|
||||
else
|
||||
acsrf%val(jd)=acsrf%val(jd)-tmp
|
||||
end if
|
||||
enddo
|
||||
! Take out zeroed terms
|
||||
call acsrf%mv_to_coo(acoof,info)
|
||||
k = 0
|
||||
do j=1,acoof%get_nzeros()
|
||||
if ((acoof%val(j) /= szero) .or. (acoof%ia(j) == acoof%ja(j))) then
|
||||
k = k + 1
|
||||
acoof%val(k) = acoof%val(j)
|
||||
acoof%ia(k) = acoof%ia(j)
|
||||
acoof%ja(k) = acoof%ja(j)
|
||||
end if
|
||||
end do
|
||||
call acoof%set_nzeros(k)
|
||||
call acoof%set_dupl(psb_dupl_add_)
|
||||
call acsrf%mv_from_coo(acoof,info)
|
||||
end if
|
||||
|
||||
|
||||
do i=1,size(adiag)
|
||||
if (adiag(i) /= szero) then
|
||||
adiag(i) = sone / adiag(i)
|
||||
else
|
||||
adiag(i) = sone
|
||||
end if
|
||||
end do
|
||||
|
||||
if (filter_mat) call acsrf%scal(adiag,info)
|
||||
if (info == psb_success_) call acsr3%scal(adiag,info)
|
||||
if (info /= psb_success_) goto 9999
|
||||
|
||||
|
||||
if (p%parms%aggr_omega_alg == mld_eig_est_) then
|
||||
|
||||
if (p%parms%aggr_eig == mld_max_norm_) then
|
||||
|
||||
!
|
||||
! This only works with CSR
|
||||
!
|
||||
anorm = szero
|
||||
dg = sone
|
||||
nrw = acsr3%get_nrows()
|
||||
do i=1, nrw
|
||||
tmp = szero
|
||||
do j=acsr3%irp(i),acsr3%irp(i+1)-1
|
||||
if (acsr3%ja(j) <= nrw) then
|
||||
tmp = tmp + abs(acsr3%val(j))
|
||||
endif
|
||||
if (acsr3%ja(j) == i ) then
|
||||
dg = abs(acsr3%val(j))
|
||||
end if
|
||||
end do
|
||||
anorm = max(anorm,tmp/dg)
|
||||
enddo
|
||||
|
||||
call psb_amx(ictxt,anorm)
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Invalid AM3 storage format')
|
||||
goto 9999
|
||||
end if
|
||||
omega = 4.d0/(3.d0*anorm)
|
||||
p%parms%aggr_omega_val = omega
|
||||
|
||||
else
|
||||
info = psb_err_internal_error_
|
||||
call psb_errpush(info,name,a_err='invalid mld_aggr_eig_')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
else if (p%parms%aggr_omega_alg == mld_user_choice_) then
|
||||
|
||||
omega = p%parms%aggr_omega_val
|
||||
|
||||
else if (p%parms%aggr_omega_alg /= mld_user_choice_) then
|
||||
info = psb_err_internal_error_
|
||||
call psb_errpush(info,name,a_err='invalid mld_aggr_omega_alg_')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
if (filter_mat) then
|
||||
!
|
||||
! Build the smoothed prolongator using the filtered matrix
|
||||
!
|
||||
do i=1,acsrf%get_nrows()
|
||||
do j=acsrf%irp(i),acsrf%irp(i+1)-1
|
||||
if (acsrf%ja(j) == i) then
|
||||
acsrf%val(j) = sone - omega*acsrf%val(j)
|
||||
else
|
||||
acsrf%val(j) = - omega*acsrf%val(j)
|
||||
end if
|
||||
end do
|
||||
end do
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done gather, going for SYMBMM 1'
|
||||
!
|
||||
! Symbmm90 does the allocation for its result.
|
||||
!
|
||||
! acsrm1 = (I-w*D*Af)Ptilde
|
||||
! Doing it this way means to consider diag(Af_i)
|
||||
!
|
||||
!
|
||||
call psb_symbmm(acsrf,ptilde,acsr1,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 1')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_numbmm(acsrf,ptilde,acsr1)
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done NUMBMM 1'
|
||||
|
||||
else
|
||||
!
|
||||
! Build the smoothed prolongator using the original matrix
|
||||
!
|
||||
do i=1,acsr3%get_nrows()
|
||||
do j=acsr3%irp(i),acsr3%irp(i+1)-1
|
||||
if (acsr3%ja(j) == i) then
|
||||
acsr3%val(j) = sone - omega*acsr3%val(j)
|
||||
else
|
||||
acsr3%val(j) = - omega*acsr3%val(j)
|
||||
end if
|
||||
end do
|
||||
end do
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done gather, going for SYMBMM 1'
|
||||
!
|
||||
! Symbmm90 does the allocation for its result.
|
||||
!
|
||||
! acsrm1 = (I-w*D*A)Ptilde
|
||||
! Doing it this way means to consider diag(A_i)
|
||||
!
|
||||
!
|
||||
call psb_symbmm(acsr3,ptilde,acsr1,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 1')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_numbmm(acsr3,ptilde,acsr1)
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done NUMBMM 1'
|
||||
|
||||
end if
|
||||
call ptilde%free()
|
||||
call acsr1%set_dupl(psb_dupl_add_)
|
||||
|
||||
call op_prol%mv_from(acsr1)
|
||||
|
||||
call psb_rwextd(ncol,op_prol,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Halo of op_prol')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_symbmm(a,op_prol,am3,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 2')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_numbmm(a,op_prol,am3)
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done NUMBMM 2',p%parms%aggr_kind, mld_smooth_prol_
|
||||
|
||||
call op_prol%transp(op_restr)
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'starting sphalo/ rwxtd'
|
||||
|
||||
call psb_rwextd(ncol,am3,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Extend am3')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'starting symbmm 3'
|
||||
call psb_symbmm(op_restr,am3,b,info)
|
||||
if (info == psb_success_) call psb_numbmm(op_restr,am3,b)
|
||||
if (info == psb_success_) call am3%free()
|
||||
if (info == psb_success_) call b%cscnv(info,type='coo',dupl=psb_dupl_add_)
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Build b = op_restr x am3')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
|
||||
|
||||
|
||||
select case(p%parms%coarse_mat)
|
||||
|
||||
case(mld_distr_mat_)
|
||||
|
||||
nzl = b%get_nzeros()
|
||||
call b%mv_to(bcoo)
|
||||
|
||||
if (info == psb_success_) call psb_cdall(ictxt,p%desc_ac,info,nl=nlaggr(me+1))
|
||||
if (info == psb_success_) call psb_cdins(nzl,bcoo%ia,bcoo%ja,p%desc_ac,info)
|
||||
if (info == psb_success_) call psb_cdasb(p%desc_ac,info)
|
||||
if (info == psb_success_) call psb_glob_to_loc(bcoo%ia(1:nzl),p%desc_ac,info,iact='I')
|
||||
if (info == psb_success_) call psb_glob_to_loc(bcoo%ja(1:nzl),p%desc_ac,info,iact='I')
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,&
|
||||
& a_err='Creating p%desc_ac and converting ac')
|
||||
goto 9999
|
||||
end if
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Assembld aux descr. distr.'
|
||||
call p%ac%mv_from(bcoo)
|
||||
|
||||
call p%ac%set_nrows(p%desc_ac%get_local_rows())
|
||||
call p%ac%set_ncols(p%desc_ac%get_local_cols())
|
||||
call p%ac%set_asb()
|
||||
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_sp_free')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
if (np>1) then
|
||||
call op_prol%mv_to(acsr1)
|
||||
nzl = acsr1%get_nzeros()
|
||||
call psb_glob_to_loc(acsr1%ja(1:nzl),p%desc_ac,info,'I')
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_glob_to_loc')
|
||||
goto 9999
|
||||
end if
|
||||
call op_prol%mv_from(acsr1)
|
||||
endif
|
||||
call op_prol%set_ncols(p%desc_ac%get_local_cols())
|
||||
|
||||
if (np>1) then
|
||||
call op_restr%cscnv(info,type='coo',dupl=psb_dupl_add_)
|
||||
call op_restr%mv_to(acoo)
|
||||
nzl = acoo%get_nzeros()
|
||||
if (info == psb_success_) call psb_glob_to_loc(acoo%ia(1:nzl),p%desc_ac,info,'I')
|
||||
call acoo%set_dupl(psb_dupl_add_)
|
||||
if (info == psb_success_) call op_restr%mv_from(acoo)
|
||||
if (info == psb_success_) call op_restr%cscnv(info,type='csr')
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Converting op_restr to local')
|
||||
goto 9999
|
||||
end if
|
||||
end if
|
||||
call op_restr%set_nrows(p%desc_ac%get_local_cols())
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done ac '
|
||||
|
||||
case(mld_repl_mat_)
|
||||
!
|
||||
!
|
||||
call psb_cdall(ictxt,p%desc_ac,info,mg=ntaggr,repl=.true.)
|
||||
if (info == psb_success_) call psb_cdasb(p%desc_ac,info)
|
||||
if (info == psb_success_) &
|
||||
& call psb_gather(p%ac,b,p%desc_ac,info,dupl=psb_dupl_add_,keeploc=.false.)
|
||||
|
||||
if (info /= psb_success_) goto 9999
|
||||
|
||||
case default
|
||||
info = psb_err_internal_error_
|
||||
call psb_errpush(info,name,a_err='invalid mld_coarse_mat_')
|
||||
goto 9999
|
||||
end select
|
||||
|
||||
|
||||
|
||||
call p%ac%cscnv(info,type='csr',dupl=psb_dupl_add_)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='spcnv')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
!
|
||||
! Copy the prolongation/restriction matrices into the descriptor map.
|
||||
! op_restr => PR^T i.e. restriction operator
|
||||
! op_prol => PR i.e. prolongation operator
|
||||
!
|
||||
|
||||
p%map = psb_linmap(psb_map_aggr_,desc_a,&
|
||||
& p%desc_ac,op_restr,op_prol,ilaggr,nlaggr)
|
||||
if (info == psb_success_) call op_prol%free()
|
||||
if (info == psb_success_) call op_restr%free()
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='sp_Free')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done smooth_aggregate '
|
||||
call psb_erractionrestore(err_act)
|
||||
return
|
||||
|
||||
9999 continue
|
||||
call psb_errpush(info,name)
|
||||
call psb_erractionrestore(err_act)
|
||||
if (err_act.eq.psb_act_abort_) then
|
||||
call psb_error()
|
||||
return
|
||||
end if
|
||||
return
|
||||
|
||||
|
||||
|
||||
end subroutine mld_saggrmat_biz_asb
|
||||
@ -0,0 +1,523 @@
|
||||
!!$
|
||||
!!$
|
||||
!!$ MLD2P4 version 2.0
|
||||
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
||||
!!$ based on PSBLAS (Parallel Sparse BLAS version 3.0)
|
||||
!!$
|
||||
!!$ (C) Copyright 2008,2009,2010
|
||||
!!$
|
||||
!!$ Salvatore Filippone University of Rome Tor Vergata
|
||||
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
|
||||
!!$ Pasqua D'Ambra ICAR-CNR, Naples
|
||||
!!$ Daniela di Serafino Second University of Naples
|
||||
!!$
|
||||
!!$ Redistribution and use in source and binary forms, with or without
|
||||
!!$ modification, are permitted provided that the following conditions
|
||||
!!$ are met:
|
||||
!!$ 1. Redistributions of source code must retain the above copyright
|
||||
!!$ notice, this list of conditions and the following disclaimer.
|
||||
!!$ 2. Redistributions in binary form must reproduce the above copyright
|
||||
!!$ notice, this list of conditions, and the following disclaimer in the
|
||||
!!$ documentation and/or other materials provided with the distribution.
|
||||
!!$ 3. The name of the MLD2P4 group or the names of its contributors may
|
||||
!!$ not be used to endorse or promote products derived from this
|
||||
!!$ software without specific written permission.
|
||||
!!$
|
||||
!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
||||
!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
|
||||
!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
||||
!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
|
||||
!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
||||
!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
||||
!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
||||
!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
||||
!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
||||
!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
||||
!!$ POSSIBILITY OF SUCH DAMAGE.
|
||||
!!$
|
||||
!!$
|
||||
! File: mld_zaggrmat_biz_asb.F90
|
||||
!
|
||||
! Subroutine: mld_zaggrmat_biz_asb
|
||||
! Version: complex
|
||||
!
|
||||
! This routine builds a coarse-level matrix A_C from a fine-level matrix A
|
||||
! by using the Galerkin approach, i.e.
|
||||
!
|
||||
! A_C = P_C^T A P_C,
|
||||
!
|
||||
! where P_C is a prolongator from the coarse level to the fine one.
|
||||
!
|
||||
! This routine builds A_C according to a "bizarre" aggregation algorithm,
|
||||
! using a "naive" prolongator proposed by the authors of MLD2P4. However, this
|
||||
! prolongator still requires a deep analysis and testing and its use is not
|
||||
! recommended.
|
||||
!
|
||||
! The coarse-level matrix A_C is distributed among the parallel processes or
|
||||
! replicated on each of them, according to the value of p%parms%coarse_mat,
|
||||
! specified by the user through mld_zprecinit and mld_zprecset.
|
||||
!
|
||||
! Arguments:
|
||||
! a - type(psb_zspmat_type), input.
|
||||
! The sparse matrix structure containing the local part of
|
||||
! the fine-level matrix.
|
||||
! desc_a - type(psb_desc_type), input.
|
||||
! The communication descriptor of the fine-level matrix.
|
||||
! p - type(mld_z_onelev_type), input/output.
|
||||
! The 'one-level' data structure that will contain the local
|
||||
! part of the matrix to be built as well as the information
|
||||
! concerning the prolongator and its transpose.
|
||||
! ilaggr - integer, dimension(:), allocatable.
|
||||
! The mapping between the row indices of the coarse-level
|
||||
! matrix and the row indices of the fine-level matrix.
|
||||
! ilaggr(i)=j means that node i in the adjacency graph
|
||||
! of the fine-level matrix is mapped onto node j in the
|
||||
! adjacency graph of the coarse-level matrix.
|
||||
! nlaggr - integer, dimension(:), allocatable.
|
||||
! nlaggr(i) contains the aggregates held by process i.
|
||||
! info - integer, output.
|
||||
! Error code.
|
||||
!
|
||||
subroutine mld_zaggrmat_biz_asb(a,desc_a,ilaggr,nlaggr,p,info)
|
||||
use psb_base_mod
|
||||
use mld_z_inner_mod, mld_protect_name => mld_zaggrmat_biz_asb
|
||||
|
||||
implicit none
|
||||
|
||||
! Arguments
|
||||
type(psb_zspmat_type), intent(in) :: a
|
||||
type(psb_desc_type), intent(in) :: desc_a
|
||||
integer, intent(inout) :: ilaggr(:), nlaggr(:)
|
||||
type(mld_z_onelev_type), intent(inout), target :: p
|
||||
integer, intent(out) :: info
|
||||
type(psb_zspmat_type) :: op_prol, op_restr, b
|
||||
|
||||
! Local variables
|
||||
integer :: nrow, nglob, ncol, ntaggr, ip, ndx,&
|
||||
& naggr, nzl,naggrm1,naggrp1, i, j, k, jd, icolF, nrw
|
||||
integer ::ictxt, np, me, err_act
|
||||
character(len=20) :: name
|
||||
type(psb_zspmat_type) :: am3, am4
|
||||
type(psb_z_coo_sparse_mat) :: acoo, acoof, bcoo
|
||||
type(psb_z_csr_sparse_mat) :: acsr1, acsr2, acsr3, acsrf, ptilde
|
||||
complex(psb_dpk_), allocatable :: adiag(:)
|
||||
integer(psb_ipk_) :: ierr(5)
|
||||
logical :: filter_mat
|
||||
integer :: debug_level, debug_unit
|
||||
integer, parameter :: ncmax=16
|
||||
real(psb_dpk_) :: anorm, omega, tmp, dg, theta
|
||||
|
||||
name='mld_aggrmat_biz_asb'
|
||||
if(psb_get_errstatus().ne.0) return
|
||||
info=psb_success_
|
||||
call psb_erractionsave(err_act)
|
||||
debug_unit = psb_get_debug_unit()
|
||||
debug_level = psb_get_debug_level()
|
||||
|
||||
ictxt = desc_a%get_context()
|
||||
ictxt = desc_a%get_context()
|
||||
|
||||
call psb_info(ictxt, me, np)
|
||||
|
||||
nglob = desc_a%get_global_rows()
|
||||
nrow = desc_a%get_local_rows()
|
||||
ncol = desc_a%get_local_cols()
|
||||
|
||||
theta = p%parms%aggr_thresh
|
||||
|
||||
naggr = nlaggr(me+1)
|
||||
ntaggr = sum(nlaggr)
|
||||
|
||||
naggrm1 = sum(nlaggr(1:me))
|
||||
naggrp1 = sum(nlaggr(1:me+1))
|
||||
|
||||
filter_mat = (p%parms%aggr_filter == mld_filter_mat_)
|
||||
|
||||
ilaggr(1:nrow) = ilaggr(1:nrow) + naggrm1
|
||||
call psb_halo(ilaggr,desc_a,info)
|
||||
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_halo')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! naggr: number of local aggregates
|
||||
! nrow: local rows.
|
||||
!
|
||||
allocate(adiag(ncol),stat=info)
|
||||
|
||||
if (info /= psb_success_) then
|
||||
info=psb_err_alloc_request_; ierr(1)=nrow;
|
||||
call psb_errpush(info,name,i_err=ierr,a_err='complex(psb_dpk_)')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! Get the diagonal D
|
||||
call a%get_diag(adiag,info)
|
||||
if (info == psb_success_) &
|
||||
& call psb_halo(adiag,desc_a,info)
|
||||
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='sp_getdiag')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! 1. Allocate Ptilde in sparse matrix form
|
||||
call acoo%allocate(ncol,naggr,ncol)
|
||||
do i=1,nrow
|
||||
acoo%val(i) = zone
|
||||
acoo%ia(i) = i
|
||||
acoo%ja(i) = ilaggr(i)
|
||||
end do
|
||||
call acoo%set_nzeros(nrow)
|
||||
call acoo%set_dupl(psb_dupl_add_)
|
||||
|
||||
call ptilde%mv_from_coo(acoo,info)
|
||||
if (info == psb_success_) call a%cscnv(acsr3,info,dupl=psb_dupl_add_)
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& ' Initial copies sone.'
|
||||
|
||||
if (filter_mat) then
|
||||
!
|
||||
! Build the filtered matrix Af from A
|
||||
!
|
||||
if (info == psb_success_) call a%cscnv(acsrf,info,dupl=psb_dupl_add_)
|
||||
|
||||
do i=1,nrow
|
||||
tmp = zzero
|
||||
jd = -1
|
||||
do j=acsrf%irp(i),acsrf%irp(i+1)-1
|
||||
if (acsrf%ja(j) == i) jd = j
|
||||
if (abs(acsrf%val(j)) < theta*sqrt(abs(adiag(i)*adiag(acsrf%ja(j))))) then
|
||||
tmp=tmp+acsrf%val(j)
|
||||
acsrf%val(j)=zzero
|
||||
endif
|
||||
|
||||
enddo
|
||||
if (jd == -1) then
|
||||
write(0,*) 'Wrong input: we need the diagonal!!!!', i
|
||||
else
|
||||
acsrf%val(jd)=acsrf%val(jd)-tmp
|
||||
end if
|
||||
enddo
|
||||
! Take out zeroed terms
|
||||
call acsrf%mv_to_coo(acoof,info)
|
||||
k = 0
|
||||
do j=1,acoof%get_nzeros()
|
||||
if ((acoof%val(j) /= zzero) .or. (acoof%ia(j) == acoof%ja(j))) then
|
||||
k = k + 1
|
||||
acoof%val(k) = acoof%val(j)
|
||||
acoof%ia(k) = acoof%ia(j)
|
||||
acoof%ja(k) = acoof%ja(j)
|
||||
end if
|
||||
end do
|
||||
call acoof%set_nzeros(k)
|
||||
call acoof%set_dupl(psb_dupl_add_)
|
||||
call acsrf%mv_from_coo(acoof,info)
|
||||
end if
|
||||
|
||||
|
||||
do i=1,size(adiag)
|
||||
if (adiag(i) /= zzero) then
|
||||
adiag(i) = zone / adiag(i)
|
||||
else
|
||||
adiag(i) = zone
|
||||
end if
|
||||
end do
|
||||
|
||||
if (filter_mat) call acsrf%scal(adiag,info)
|
||||
if (info == psb_success_) call acsr3%scal(adiag,info)
|
||||
if (info /= psb_success_) goto 9999
|
||||
|
||||
|
||||
if (p%parms%aggr_omega_alg == mld_eig_est_) then
|
||||
|
||||
if (p%parms%aggr_eig == mld_max_norm_) then
|
||||
|
||||
!
|
||||
! This only works with CSR
|
||||
!
|
||||
anorm = dzero
|
||||
dg = done
|
||||
nrw = acsr3%get_nrows()
|
||||
do i=1, nrw
|
||||
tmp = dzero
|
||||
do j=acsr3%irp(i),acsr3%irp(i+1)-1
|
||||
if (acsr3%ja(j) <= nrw) then
|
||||
tmp = tmp + abs(acsr3%val(j))
|
||||
endif
|
||||
if (acsr3%ja(j) == i ) then
|
||||
dg = abs(acsr3%val(j))
|
||||
end if
|
||||
end do
|
||||
anorm = max(anorm,tmp/dg)
|
||||
enddo
|
||||
|
||||
call psb_amx(ictxt,anorm)
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Invalid AM3 storage format')
|
||||
goto 9999
|
||||
end if
|
||||
omega = 4.d0/(3.d0*anorm)
|
||||
p%parms%aggr_omega_val = omega
|
||||
|
||||
else
|
||||
info = psb_err_internal_error_
|
||||
call psb_errpush(info,name,a_err='invalid mld_aggr_eig_')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
else if (p%parms%aggr_omega_alg == mld_user_choice_) then
|
||||
|
||||
omega = p%parms%aggr_omega_val
|
||||
|
||||
else if (p%parms%aggr_omega_alg /= mld_user_choice_) then
|
||||
info = psb_err_internal_error_
|
||||
call psb_errpush(info,name,a_err='invalid mld_aggr_omega_alg_')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
if (filter_mat) then
|
||||
!
|
||||
! Build the smoothed prolongator using the filtered matrix
|
||||
!
|
||||
do i=1,acsrf%get_nrows()
|
||||
do j=acsrf%irp(i),acsrf%irp(i+1)-1
|
||||
if (acsrf%ja(j) == i) then
|
||||
acsrf%val(j) = zone - omega*acsrf%val(j)
|
||||
else
|
||||
acsrf%val(j) = - omega*acsrf%val(j)
|
||||
end if
|
||||
end do
|
||||
end do
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done gather, going for SYMBMM 1'
|
||||
!
|
||||
! Symbmm90 does the allocation for its result.
|
||||
!
|
||||
! acsrm1 = (I-w*D*Af)Ptilde
|
||||
! Doing it this way means to consider diag(Af_i)
|
||||
!
|
||||
!
|
||||
call psb_symbmm(acsrf,ptilde,acsr1,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 1')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_numbmm(acsrf,ptilde,acsr1)
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done NUMBMM 1'
|
||||
|
||||
else
|
||||
!
|
||||
! Build the smoothed prolongator using the original matrix
|
||||
!
|
||||
do i=1,acsr3%get_nrows()
|
||||
do j=acsr3%irp(i),acsr3%irp(i+1)-1
|
||||
if (acsr3%ja(j) == i) then
|
||||
acsr3%val(j) = zone - omega*acsr3%val(j)
|
||||
else
|
||||
acsr3%val(j) = - omega*acsr3%val(j)
|
||||
end if
|
||||
end do
|
||||
end do
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done gather, going for SYMBMM 1'
|
||||
!
|
||||
! Symbmm90 does the allocation for its result.
|
||||
!
|
||||
! acsrm1 = (I-w*D*A)Ptilde
|
||||
! Doing it this way means to consider diag(A_i)
|
||||
!
|
||||
!
|
||||
call psb_symbmm(acsr3,ptilde,acsr1,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 1')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_numbmm(acsr3,ptilde,acsr1)
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done NUMBMM 1'
|
||||
|
||||
end if
|
||||
call ptilde%free()
|
||||
call acsr1%set_dupl(psb_dupl_add_)
|
||||
|
||||
call op_prol%mv_from(acsr1)
|
||||
|
||||
call psb_rwextd(ncol,op_prol,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Halo of op_prol')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_symbmm(a,op_prol,am3,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 2')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_numbmm(a,op_prol,am3)
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done NUMBMM 2',p%parms%aggr_kind, mld_smooth_prol_
|
||||
|
||||
call op_prol%transp(op_restr)
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'starting sphalo/ rwxtd'
|
||||
|
||||
call psb_rwextd(ncol,am3,info)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Extend am3')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'starting symbmm 3'
|
||||
call psb_symbmm(op_restr,am3,b,info)
|
||||
if (info == psb_success_) call psb_numbmm(op_restr,am3,b)
|
||||
if (info == psb_success_) call am3%free()
|
||||
if (info == psb_success_) call b%cscnv(info,type='coo',dupl=psb_dupl_add_)
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Build b = op_restr x am3')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
|
||||
|
||||
|
||||
select case(p%parms%coarse_mat)
|
||||
|
||||
case(mld_distr_mat_)
|
||||
|
||||
nzl = b%get_nzeros()
|
||||
call b%mv_to(bcoo)
|
||||
|
||||
if (info == psb_success_) call psb_cdall(ictxt,p%desc_ac,info,nl=nlaggr(me+1))
|
||||
if (info == psb_success_) call psb_cdins(nzl,bcoo%ia,bcoo%ja,p%desc_ac,info)
|
||||
if (info == psb_success_) call psb_cdasb(p%desc_ac,info)
|
||||
if (info == psb_success_) call psb_glob_to_loc(bcoo%ia(1:nzl),p%desc_ac,info,iact='I')
|
||||
if (info == psb_success_) call psb_glob_to_loc(bcoo%ja(1:nzl),p%desc_ac,info,iact='I')
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,&
|
||||
& a_err='Creating p%desc_ac and converting ac')
|
||||
goto 9999
|
||||
end if
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Assembld aux descr. distr.'
|
||||
call p%ac%mv_from(bcoo)
|
||||
|
||||
call p%ac%set_nrows(p%desc_ac%get_local_rows())
|
||||
call p%ac%set_ncols(p%desc_ac%get_local_cols())
|
||||
call p%ac%set_asb()
|
||||
|
||||
if (info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_sp_free')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
if (np>1) then
|
||||
call op_prol%mv_to(acsr1)
|
||||
nzl = acsr1%get_nzeros()
|
||||
call psb_glob_to_loc(acsr1%ja(1:nzl),p%desc_ac,info,'I')
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_glob_to_loc')
|
||||
goto 9999
|
||||
end if
|
||||
call op_prol%mv_from(acsr1)
|
||||
endif
|
||||
call op_prol%set_ncols(p%desc_ac%get_local_cols())
|
||||
|
||||
if (np>1) then
|
||||
call op_restr%cscnv(info,type='coo',dupl=psb_dupl_add_)
|
||||
call op_restr%mv_to(acoo)
|
||||
nzl = acoo%get_nzeros()
|
||||
if (info == psb_success_) call psb_glob_to_loc(acoo%ia(1:nzl),p%desc_ac,info,'I')
|
||||
call acoo%set_dupl(psb_dupl_add_)
|
||||
if (info == psb_success_) call op_restr%mv_from(acoo)
|
||||
if (info == psb_success_) call op_restr%cscnv(info,type='csr')
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_internal_error_,name,a_err='Converting op_restr to local')
|
||||
goto 9999
|
||||
end if
|
||||
end if
|
||||
call op_restr%set_nrows(p%desc_ac%get_local_cols())
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done ac '
|
||||
|
||||
case(mld_repl_mat_)
|
||||
!
|
||||
!
|
||||
call psb_cdall(ictxt,p%desc_ac,info,mg=ntaggr,repl=.true.)
|
||||
if (info == psb_success_) call psb_cdasb(p%desc_ac,info)
|
||||
if (info == psb_success_) &
|
||||
& call psb_gather(p%ac,b,p%desc_ac,info,dupl=psb_dupl_add_,keeploc=.false.)
|
||||
|
||||
if (info /= psb_success_) goto 9999
|
||||
|
||||
case default
|
||||
info = psb_err_internal_error_
|
||||
call psb_errpush(info,name,a_err='invalid mld_coarse_mat_')
|
||||
goto 9999
|
||||
end select
|
||||
|
||||
|
||||
|
||||
call p%ac%cscnv(info,type='csr',dupl=psb_dupl_add_)
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='spcnv')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
!
|
||||
! Copy the prolongation/restriction matrices into the descriptor map.
|
||||
! op_restr => PR^T i.e. restriction operator
|
||||
! op_prol => PR i.e. prolongation operator
|
||||
!
|
||||
|
||||
p%map = psb_linmap(psb_map_aggr_,desc_a,&
|
||||
& p%desc_ac,op_restr,op_prol,ilaggr,nlaggr)
|
||||
if (info == psb_success_) call op_prol%free()
|
||||
if (info == psb_success_) call op_restr%free()
|
||||
if(info /= psb_success_) then
|
||||
call psb_errpush(psb_err_from_subroutine_,name,a_err='sp_Free')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
|
||||
if (debug_level >= psb_debug_outer_) &
|
||||
& write(debug_unit,*) me,' ',trim(name),&
|
||||
& 'Done smooth_aggregate '
|
||||
call psb_erractionrestore(err_act)
|
||||
return
|
||||
|
||||
9999 continue
|
||||
call psb_errpush(info,name)
|
||||
call psb_erractionrestore(err_act)
|
||||
if (err_act.eq.psb_act_abort_) then
|
||||
call psb_error()
|
||||
return
|
||||
end if
|
||||
return
|
||||
|
||||
|
||||
|
||||
end subroutine mld_zaggrmat_biz_asb
|
||||
Loading…
Reference in New Issue