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196 lines
7.9 KiB
Fortran
196 lines
7.9 KiB
Fortran
!
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!
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! MLD2P4 version 2.1
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! MultiLevel Domain Decomposition Parallel Preconditioners Package
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! based on PSBLAS (Parallel Sparse BLAS version 3.4)
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!
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! (C) Copyright 2008, 2010, 2012, 2015, 2017
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!
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! Salvatore Filippone Cranfield University
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! Ambra Abdullahi Hassan 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 University of Campania "L. Vanvitelli", Caserta
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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_saggrmat_asb.f90
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!
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! Subroutine: mld_saggrmat_asb
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! Version: real
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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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! A mapping from the nodes of the adjacency graph of A to the nodes of the
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! adjacency graph of A_C has been computed by the mld_aggrmap_bld subroutine.
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! The prolongator P_C is built here from this mapping, according to the
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! value of p%iprcparm(mld_aggr_prol_), specified by the user through
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! mld_sprecinit and mld_zprecset.
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! On output from this routine the entries of AC, op_prol, op_restr
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! are still in "global numbering" mode; this is fixed in the calling routine
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! mld_s_lev_aggrmat_asb.
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!
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! Currently four different prolongators are implemented, corresponding to
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! four aggregation algorithms:
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! 1. un-smoothed aggregation,
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! 2. smoothed aggregation,
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! 3. "bizarre" aggregation.
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! 4. minimum energy
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! 1. The non-smoothed aggregation uses as prolongator the piecewise constant
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! interpolation operator corresponding to the fine-to-coarse level mapping built
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! by mld_aggrmap_bld. This is called tentative prolongator.
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! 2. The smoothed aggregation uses as prolongator the operator obtained by applying
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! a damped Jacobi smoother to the tentative prolongator.
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! 3. The "bizarre" aggregation uses a prolongator proposed by the authors of MLD2P4.
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! This prolongator still requires a deep analysis and testing and its use is
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! not recommended.
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! 4. Minimum energy aggregation: ADD REFERENCE.
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!
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! For more details see
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! M. Brezina and P. Vanek, A black-box iterative solver based on a two-level
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! Schwarz method, Computing, 63 (1999), 233-263.
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! P. D'Ambra, D. di Serafino and S. Filippone, On the development of PSBLAS-based
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! parallel two-level Schwarz preconditioners, Appl. Num. Math., 57 (2007),
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! 1181-1196.
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!
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!
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!
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! Arguments:
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! a - type(psb_sspmat_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_s_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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! parms - type(mld_sml_parms), input
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! Parameters controlling the choice of algorithm
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! ac - type(psb_sspmat_type), output
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! The coarse matrix on output
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!
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! ilaggr - integer, dimension(:), input
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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. Note that the indices
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! are assumed to be shifted so as to make sure the ranges on
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! the various processes do not overlap.
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! nlaggr - integer, dimension(:) input
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! nlaggr(i) contains the aggregates held by process i.
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! op_prol - type(psb_sspmat_type), input/output
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! The tentative prolongator on input, the computed prolongator on output
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!
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! op_restr - type(psb_sspmat_type), output
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! The restrictor operator; normally, it is the transpose of the prolongator.
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!
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! info - integer, output.
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! Error code.
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!
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subroutine mld_saggrmat_asb(a,desc_a,ilaggr,nlaggr,parms,ac,op_prol,op_restr,info)
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use psb_base_mod
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use mld_base_prec_type
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use mld_s_inner_mod, mld_protect_name => mld_saggrmat_asb
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implicit none
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! Arguments
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type(psb_sspmat_type), intent(in) :: a
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type(psb_desc_type), intent(in) :: desc_a
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integer(psb_ipk_), intent(inout) :: ilaggr(:), nlaggr(:)
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type(mld_sml_parms), intent(inout) :: parms
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type(psb_sspmat_type), intent(inout) :: ac, op_prol,op_restr
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integer(psb_ipk_), intent(out) :: info
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! Local variables
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type(psb_s_coo_sparse_mat) :: acoo, bcoo
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type(psb_s_csr_sparse_mat) :: acsr1
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integer(psb_ipk_) :: nzl,ntaggr, err_act
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integer(psb_ipk_) :: debug_level, debug_unit
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integer(psb_ipk_) :: ictxt,np,me
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character(len=20) :: name
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name='mld_aggrmat_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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call psb_info(ictxt, me, np)
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select case (parms%aggr_prol)
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case (mld_no_smooth_)
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call mld_saggrmat_nosmth_asb(a,desc_a,ilaggr,nlaggr,&
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& parms,ac,op_prol,op_restr,info)
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case(mld_smooth_prol_)
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call mld_saggrmat_smth_asb(a,desc_a,ilaggr,nlaggr, &
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& parms,ac,op_prol,op_restr,info)
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case(mld_biz_prol_)
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call mld_saggrmat_biz_asb(a,desc_a,ilaggr,nlaggr, &
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& parms,ac,op_prol,op_restr,info)
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case(mld_min_energy_)
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call mld_saggrmat_minnrg_asb(a,desc_a,ilaggr,nlaggr, &
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& parms,ac,op_prol,op_restr,info)
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case default
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info = psb_err_internal_error_
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call psb_errpush(info,name,a_err='Invalid aggr kind')
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goto 9999
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end select
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='Inner aggrmat asb')
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goto 9999
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end if
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call psb_erractionrestore(err_act)
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return
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9999 call psb_error_handler(err_act)
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return
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end subroutine mld_saggrmat_asb
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