!!$ !!$ !!$ 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. 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File: mld_caggrmat_nosmth_asb.F90 ! ! Subroutine: mld_caggrmat_nosmth_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 the piecewise constant interpolation operator corresponding ! the fine-to-coarse level mapping built by mld_aggrmap_bld. ! ! 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_cprecinit and mld_cprecset. ! ! For details see ! 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_conelev_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_caggrmat_nosmth_asb(a,desc_a,ilaggr,nlaggr,p,info) use psb_base_mod use mld_c_inner_mod, mld_protect_name => mld_caggrmat_nosmth_asb #ifdef MPI_MOD use mpi #endif implicit none #ifdef MPI_H include 'mpif.h' #endif ! Arguments type(psb_cspmat_type), intent(in) :: a type(psb_desc_type), intent(in) :: desc_a integer, intent(inout) :: ilaggr(:), nlaggr(:) type(mld_conelev_type), intent(inout), target :: p integer, intent(out) :: info ! Local variables integer ::ictxt,np,me, err_act, icomm character(len=20) :: name type(psb_cspmat_type) :: b integer, allocatable :: nzbr(:), idisp(:) type(psb_cspmat_type) :: am1,am2 type(psb_c_coo_sparse_mat) :: acoo1, acoo2, bcoo, ac_coo integer :: nrow, nglob, ncol, ntaggr, nzac, ip, ndx,& & naggr, nzt, naggrm1, i name='mld_aggrmat_nosmth_asb' if(psb_get_errstatus().ne.0) return info=psb_success_ call psb_erractionsave(err_act) ictxt = desc_a%get_context() icomm = desc_a%get_mpic() call psb_info(ictxt, me, np) nglob = desc_a%get_global_rows() nrow = desc_a%get_local_rows() ncol = desc_a%get_local_cols() naggr = nlaggr(me+1) ntaggr = sum(nlaggr) allocate(nzbr(np), idisp(np),stat=info) if (info /= psb_success_) then info=psb_err_alloc_request_ call psb_errpush(info,name,i_err=(/2*np,0,0,0,0/),& & a_err='integer') goto 9999 end if naggrm1=sum(nlaggr(1:me)) if (p%parms%coarse_mat == mld_repl_mat_) then do i=1, nrow ilaggr(i) = ilaggr(i) + naggrm1 end do call psb_halo(ilaggr,desc_a,info) end if if(info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_halo') goto 9999 end if if (p%parms%coarse_mat == mld_repl_mat_) then call acoo1%allocate(ncol,ntaggr,ncol) else call acoo1%allocate(ncol,naggr,ncol) end if do i=1,nrow acoo1%val(i) = cone acoo1%ia(i) = i acoo1%ja(i) = ilaggr(i) end do call acoo1%set_dupl(psb_dupl_add_) call acoo1%set_nzeros(nrow) call acoo1%set_asb() call acoo1%fix(info) call acoo1%transp(acoo2) call a%csclip(bcoo,info,jmax=nrow) nzt = bcoo%get_nzeros() do i=1, nzt bcoo%ia(i) = ilaggr(bcoo%ia(i)) bcoo%ja(i) = ilaggr(bcoo%ja(i)) enddo call bcoo%set_nrows(naggr) call bcoo%set_ncols(naggr) call bcoo%set_dupl(psb_dupl_add_) call bcoo%fix(info) if (p%parms%coarse_mat == mld_repl_mat_) then 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_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_cdall') goto 9999 end if nzbr(:) = 0 nzbr(me+1) = nzt call psb_sum(ictxt,nzbr(1:np)) nzac = sum(nzbr) call ac_coo%allocate(ntaggr,ntaggr,nzac) do ip=1,np idisp(ip) = sum(nzbr(1:ip-1)) enddo ndx = nzbr(me+1) call mpi_allgatherv(bcoo%val,ndx,mpi_complex,ac_coo%val,nzbr,idisp,& & mpi_real,icomm,info) call mpi_allgatherv(bcoo%ia,ndx,mpi_integer,ac_coo%ia,nzbr,idisp,& & mpi_integer,icomm,info) call mpi_allgatherv(bcoo%ja,ndx,mpi_integer,ac_coo%ja,nzbr,idisp,& & mpi_integer,icomm,info) if(info /= psb_success_) then info=-1 call psb_errpush(info,name) goto 9999 end if call ac_coo%set_nzeros(nzac) call ac_coo%set_dupl(psb_dupl_add_) call ac_coo%fix(info) call p%ac%mv_from(ac_coo) else if (p%parms%coarse_mat == mld_distr_mat_) then call psb_cdall(ictxt,p%desc_ac,info,nl=naggr) if (info == psb_success_) call psb_cdasb(p%desc_ac,info) call p%ac%mv_from(bcoo) if(info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,a_err='Build ac, desc_ac') goto 9999 end if else info = psb_err_internal_error_ call psb_errpush(psb_err_internal_error_,name,a_err='invalid mld_coarse_mat_') goto 9999 end if call bcoo%free() deallocate(nzbr,idisp) 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='cscnv') goto 9999 end if call am1%mv_from(acoo1) call am1%cscnv(info,type='csr',dupl=psb_dupl_add_) if (info == psb_success_) call am2%mv_from(acoo2) if (info == psb_success_) call am2%cscnv(info,type='csr',dupl=psb_dupl_add_) ! ! Copy the prolongation/restriction matrices into the descriptor map. ! am2 => PR^T i.e. restriction operator ! am1 => PR i.e. prolongation operator ! if (info == psb_success_) & & p%map = psb_linmap(psb_map_aggr_,desc_a,& & p%desc_ac,am2,am1,ilaggr,nlaggr) if (info == psb_success_) call am1%free() if (info == psb_success_) call am2%free() if(info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='linmap build') 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_caggrmat_nosmth_asb