!!$ !!$ !!$ MLD2P4 version 2.0 !!$ MultiLevel Domain Decomposition Parallel Preconditioners Package !!$ based on PSBLAS (Parallel Sparse BLAS version 3.3) !!$ !!$ (C) Copyright 2008, 2010, 2012, 2015 !!$ !!$ 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_asb.f90 ! ! Subroutine: mld_daggrmat_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_dprecinit 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_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_asb(a,desc_a,ilaggr,nlaggr,parms,ac,op_prol,op_restr,info) use psb_base_mod use mld_d_inner_mod, mld_protect_name => mld_daggrmat_asb implicit none ! Arguments type(psb_dspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(inout) :: ilaggr(:), nlaggr(:) type(mld_dml_parms), intent(inout) :: parms !!$ type(mld_d_onelev_type), intent(inout), target :: p integer(psb_ipk_), intent(out) :: info type(psb_dspmat_type), intent(inout) :: ac, op_prol,op_restr ! Local variables type(psb_d_coo_sparse_mat) :: acoo, bcoo type(psb_d_csr_sparse_mat) :: acsr1 integer(psb_ipk_) :: nzl,ntaggr, err_act integer(psb_ipk_) :: debug_level, debug_unit integer(psb_ipk_) :: ictxt,np,me 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 (parms%aggr_kind) case (mld_no_smooth_) call mld_daggrmat_nosmth_asb(a,desc_a,ilaggr,nlaggr,& & parms,ac,op_prol,op_restr,info) case(mld_smooth_prol_) call mld_daggrmat_smth_asb(a,desc_a,ilaggr,nlaggr, & & parms,ac,op_prol,op_restr,info) case(mld_biz_prol_) call mld_daggrmat_biz_asb(a,desc_a,ilaggr,nlaggr, & & parms,ac,op_prol,op_restr,info) case(mld_min_energy_) call mld_daggrmat_minnrg_asb(a,desc_a,ilaggr,nlaggr, & & 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_) !!$ !!$ call ac%mv_to(bcoo) !!$ if (p%parms%clean_zeros) call bcoo%clean_zeros(info) !!$ nzl = bcoo%get_nzeros() !!$ !!$ 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 !!$ ! !!$ ! Clip to local rows. !!$ ! !!$ call op_restr%set_nrows(p%desc_ac%get_local_rows()) !!$ !!$ 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_).and.p%parms%clean_zeros) call ac%clean_zeros(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 call psb_error_handler(err_act) return end subroutine mld_daggrmat_asb