!!$ !!$ !!$ MLD2P4 version 2.0 !!$ MultiLevel Domain Decomposition Parallel Preconditioners Package !!$ based on PSBLAS (Parallel Sparse BLAS version 3.0) !!$ !!$ (C) Copyright 2008,2009,2010,2012 !!$ !!$ 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_asb.f90 ! ! Subroutine: mld_saggrmat_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. ! ! A mapping from the nodes of the adjacency graph of A to the nodes of the ! adjacency graph of A_C has been computed by the mld_aggrmap_bld subroutine. ! The prolongator P_C is built here from this mapping, according to the ! value of p%iprcparm(mld_aggr_kind_), specified by the user through ! mld_sprecinit and mld_zprecset. ! ! Currently three different prolongators are implemented, corresponding to ! three aggregation algorithms: ! 1. non-smoothed aggregation, ! 2. smoothed aggregation, ! 3. "bizarre" aggregation. ! 1. The non-smoothed aggregation uses as prolongator the piecewise constant ! interpolation operator corresponding to the fine-to-coarse level mapping built ! by mld_aggrmap_bld. This is called tentative prolongator. ! 2. The smoothed aggregation uses as prolongator the operator obtained by applying ! a damped Jacobi smoother to the tentative prolongator. ! 3. The "bizarre" aggregation uses a prolongator proposed by the authors of MLD2P4. ! This prolongator still requires a deep analysis and testing and its use is ! not recommended. ! ! For more details see ! M. Brezina and P. Vanek, A black-box iterative solver based on a two-level ! Schwarz method, Computing, 63 (1999), 233-263. ! P. D'Ambra, D. di Serafino and S. Filippone, On the development of PSBLAS-based ! parallel two-level Schwarz preconditioners, Appl. Num. Math., 57 (2007), ! 1181-1196. ! ! ! ! Arguments: ! a - type(psb_cspmat_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_asb(a,desc_a,ilaggr,nlaggr,p,info) use psb_base_mod use mld_s_inner_mod, mld_protect_name => mld_saggrmat_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 ! Local variables type(psb_sspmat_type) :: ac, op_prol,op_restr type(psb_s_coo_sparse_mat) :: acoo, bcoo type(psb_s_csr_sparse_mat) :: acsr1 integer :: nzl,ntaggr integer :: debug_level, debug_unit integer :: ictxt,np,me, err_act character(len=20) :: name name='mld_aggrmat_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() call psb_info(ictxt, me, np) select case (p%parms%aggr_kind) case (mld_no_smooth_) call mld_saggrmat_nosmth_asb(a,desc_a,ilaggr,nlaggr,& & p%parms,ac,op_prol,op_restr,info) case(mld_smooth_prol_) call mld_saggrmat_smth_asb(a,desc_a,ilaggr,nlaggr, & & p%parms,ac,op_prol,op_restr,info) case(mld_biz_prol_) call mld_saggrmat_biz_asb(a,desc_a,ilaggr,nlaggr, & & p%parms,ac,op_prol,op_restr,info) case(mld_min_energy_) call mld_saggrmat_minnrg_asb(a,desc_a,ilaggr,nlaggr, & & p%parms,ac,op_prol,op_restr,info) case default info = psb_err_internal_error_ call psb_errpush(info,name,a_err='Invalid aggr kind') goto 9999 end select if (info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='Inner aggrmat asb') goto 9999 end if ntaggr = sum(nlaggr) select case(p%parms%coarse_mat) case(mld_distr_mat_) nzl = ac%get_nzeros() call ac%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,ac,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 call psb_erractionrestore(err_act) return 9999 continue call psb_erractionrestore(err_act) if (err_act.eq.psb_act_abort_) then call psb_error() return end if return end subroutine mld_saggrmat_asb