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326 lines
11 KiB
Fortran
326 lines
11 KiB
Fortran
!
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!
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! AMG4PSBLAS version 1.0
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! Algebraic Multigrid Package
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! based on PSBLAS (Parallel Sparse BLAS version 3.5)
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!
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! (C) Copyright 2020
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!
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! Salvatore Filippone
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! Pasqua D'Ambra
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! Fabio Durastante
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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 AMG4PSBLAS 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 AMG4PSBLAS 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: amg_daggrmat_smth_bld.F90
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!
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! Subroutine: amg_daggrmat_smth_bld
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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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! The prolongator P_C is built according to a smoothed aggregation algorithm,
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! i.e. it is obtained by applying a damped Jacobi smoother to the piecewise
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! constant interpolation operator P corresponding to the fine-to-coarse level
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! mapping built by the amg_aggrmap_bld subroutine:
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!
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! P_C = (I - omega*D^(-1)A) * P,
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!
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! where D is the diagonal matrix with main diagonal equal to the main diagonal
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! of A, and omega is a suitable smoothing parameter. An estimate of the spectral
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! radius of D^(-1)A, to be used in the computation of omega, is provided,
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! according to the value of p%parms%aggr_omega_alg, specified by the user
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! through amg_dprecinit and amg_zprecset.
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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 amg_dprecinit and amg_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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! aggregator%mat_bld.
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!
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!
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! Arguments:
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! a - type(psb_dspmat_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(amg_d_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(amg_dml_parms), input
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! Parameters controlling the choice of algorithm
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! ac - type(psb_dspmat_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_dspmat_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_dspmat_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 amg_daggrmat_smth_bld(a,desc_a,ilaggr,nlaggr,parms,&
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& ac,desc_ac,op_prol,op_restr,t_prol,info)
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use psb_base_mod
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use amg_base_prec_type
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use amg_d_inner_mod, amg_protect_name => amg_daggrmat_smth_bld
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use amg_d_base_aggregator_mod
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implicit none
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! Arguments
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type(psb_dspmat_type), intent(in) :: a
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type(psb_desc_type), intent(inout) :: desc_a
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integer(psb_lpk_), intent(inout) :: ilaggr(:), nlaggr(:)
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type(amg_dml_parms), intent(inout) :: parms
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type(psb_dspmat_type), intent(out) :: op_prol,ac,op_restr
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type(psb_ldspmat_type), intent(inout) :: t_prol
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type(psb_desc_type), intent(inout) :: desc_ac
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integer(psb_ipk_), intent(out) :: info
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! Local variables
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integer(psb_lpk_) :: nrow, nglob, ncol, ntaggr, ip, &
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& naggr, nzl,naggrm1,naggrp1, i, j, k, jd, icolF, nrw
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integer(psb_ipk_) :: inaggr, nzlp
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integer(psb_ipk_) :: ictxt, np, me
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character(len=20) :: name
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type(psb_ld_coo_sparse_mat) :: tmpcoo
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type(psb_d_coo_sparse_mat) :: coo_prol, coo_restr
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type(psb_d_csr_sparse_mat) :: acsr1, acsrf, csr_prol, acsr
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real(psb_dpk_), allocatable :: adiag(:)
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real(psb_dpk_), allocatable :: arwsum(:)
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integer(psb_ipk_) :: ierr(5)
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logical :: filter_mat
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integer(psb_ipk_) :: debug_level, debug_unit, err_act
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integer(psb_ipk_), parameter :: ncmax=16
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real(psb_dpk_) :: anorm, omega, tmp, dg, theta
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logical, parameter :: debug_new=.false.
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character(len=80) :: filename
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name='amg_aggrmat_smth_bld'
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info=psb_success_
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call psb_erractionsave(err_act)
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if (psb_errstatus_fatal()) then
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info = psb_err_internal_error_; goto 9999
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end if
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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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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 = 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 = (parms%aggr_filter == amg_filter_mat_)
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!
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! naggr: number of local aggregates
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! nrow: local rows.
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!
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! Get the diagonal D
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adiag = a%get_diag(info)
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if (info == psb_success_) &
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& call psb_realloc(ncol,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_) call a%cp_to(acsr)
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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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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Initial copies done.'
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call acsr%cp_to_fmt(acsrf,info)
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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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do i=1, nrow
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tmp = dzero
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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)=dzero
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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%clean_zeros(info)
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end if
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do i=1,size(adiag)
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if (adiag(i) /= dzero) then
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adiag(i) = done / adiag(i)
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else
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adiag(i) = done
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end if
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end do
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if (parms%aggr_omega_alg == amg_eig_est_) then
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if (parms%aggr_eig == amg_max_norm_) then
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allocate(arwsum(nrow))
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call acsr%arwsum(arwsum)
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anorm = maxval(abs(adiag(1:nrow)*arwsum(1:nrow)))
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call psb_amx(ictxt,anorm)
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omega = 4.d0/(3.d0*anorm)
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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 amg_aggr_eig_')
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goto 9999
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end if
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else if (parms%aggr_omega_alg == amg_user_choice_) then
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omega = parms%aggr_omega_val
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else if (parms%aggr_omega_alg /= amg_user_choice_) then
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info = psb_err_internal_error_
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call psb_errpush(info,name,a_err='invalid amg_aggr_omega_alg_')
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goto 9999
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end if
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call acsrf%scal(adiag,info)
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if (info /= psb_success_) goto 9999
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call t_prol%mv_to(tmpcoo)
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inaggr = naggr
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call psb_cdall(ictxt,desc_ac,info,nl=inaggr)
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nzlp = tmpcoo%get_nzeros()
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call desc_ac%indxmap%g2lip_ins(tmpcoo%ja(1:nzlp),info)
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call tmpcoo%set_ncols(desc_ac%get_local_cols())
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call tmpcoo%mv_to_ifmt(csr_prol,info)
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call psb_cdasb(desc_ac,info)
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call psb_cd_reinit(desc_ac,info)
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!
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! Build the smoothed prolongator using either A or Af
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! acsr1 = (I-w*D*A) Prol acsr1 = (I-w*D*Af) Prol
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! This is always done through the variable acsrf which
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! is a bit less readable, but saves space and one matrix copy
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!
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call omega_smooth(omega,acsrf)
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call psb_par_spspmm(acsrf,desc_a,csr_prol,acsr1,desc_ac,info)
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if(info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='spspmm 1')
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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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& 'Done SPSPMM 1'
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nzl = acsr1%get_nzeros()
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call acsr1%mv_to_coo(coo_prol,info)
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call amg_ptap_bld(acsr,desc_a,nlaggr,parms,ac,&
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& coo_prol,desc_ac,coo_restr,info)
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call op_prol%mv_from(coo_prol)
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call op_restr%mv_from(coo_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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& 'Done smooth_aggregate '
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call psb_erractionrestore(err_act)
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return
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9999 continue
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call psb_errpush(info,name)
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call psb_error_handler(err_act)
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return
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contains
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subroutine omega_smooth(omega,acsr)
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implicit none
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real(psb_dpk_),intent(in) :: omega
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type(psb_d_csr_sparse_mat), intent(inout) :: acsr
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!
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integer(psb_lpk_) :: i,j
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do i=1,acsr%get_nrows()
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do j=acsr%irp(i),acsr%irp(i+1)-1
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if (acsr%ja(j) == i) then
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acsr%val(j) = done - omega*acsr%val(j)
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else
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acsr%val(j) = - omega*acsr%val(j)
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end if
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end do
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end do
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end subroutine omega_smooth
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end subroutine amg_daggrmat_smth_bld
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