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767 lines
30 KiB
Fortran
767 lines
30 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 3.7)
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!
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! (C) Copyright 2021
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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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program amg_zf_sample
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use psb_base_mod
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use amg_prec_mod
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use psb_krylov_mod
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use psb_util_mod
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use data_input
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implicit none
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! input parameters
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character(len=40) :: kmethd, mtrx_file, rhs_file, guess_file, sol_file, part
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character(len=2) :: filefmt
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! Krylov solver data
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type solverdata
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character(len=40) :: kmethd ! Krylov solver
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integer(psb_ipk_) :: istopc ! stopping criterion
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integer(psb_ipk_) :: itmax ! maximum number of iterations
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integer(psb_ipk_) :: itrace ! tracing
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integer(psb_ipk_) :: irst ! restart
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real(psb_dpk_) :: eps ! stopping tolerance
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end type solverdata
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type(solverdata) :: s_choice
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! preconditioner data
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type precdata
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! preconditioner type
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character(len=40) :: descr ! verbose description of the prec
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character(len=10) :: ptype ! preconditioner type
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integer(psb_ipk_) :: outer_sweeps ! number of outer sweeps: sweeps for 1-level,
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! AMG cycles for ML
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! general AMG data
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character(len=16) :: mlcycle ! AMG cycle type
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integer(psb_ipk_) :: maxlevs ! maximum number of levels in AMG preconditioner
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! AMG aggregation
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character(len=16) :: aggr_prol ! aggregation type: SMOOTHED, NONSMOOTHED
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character(len=16) :: par_aggr_alg ! parallel aggregation algorithm: DEC, SYMDEC
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character(len=16) :: aggr_ord ! ordering for aggregation: NATURAL, DEGREE
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character(len=16) :: aggr_filter ! filtering: FILTER, NO_FILTER
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real(psb_dpk_) :: mncrratio ! minimum aggregation ratio
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real(psb_dpk_), allocatable :: athresv(:) ! smoothed aggregation threshold vector
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integer(psb_ipk_) :: thrvsz ! size of threshold vector
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real(psb_dpk_) :: athres ! smoothed aggregation threshold
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integer(psb_ipk_) :: csize ! minimum size of coarsest matrix
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! AMG smoother or pre-smoother; also 1-lev preconditioner
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character(len=16) :: smther ! (pre-)smoother type: BJAC, AS
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integer(psb_ipk_) :: jsweeps ! (pre-)smoother / 1-lev prec. sweeps
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integer(psb_ipk_) :: novr ! number of overlap layers
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character(len=16) :: restr ! restriction over application of AS
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character(len=16) :: prol ! prolongation over application of AS
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character(len=16) :: solve ! local subsolver type: ILU, MILU, ILUT,
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! UMF, MUMPS, SLU, FWGS, BWGS, JAC
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integer(psb_ipk_) :: fill ! fill-in for incomplete LU factorization
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real(psb_dpk_) :: thr ! threshold for ILUT factorization
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! AMG post-smoother; ignored by 1-lev preconditioner
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character(len=16) :: smther2 ! post-smoother type: BJAC, AS
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integer(psb_ipk_) :: jsweeps2 ! post-smoother sweeps
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integer(psb_ipk_) :: novr2 ! number of overlap layers
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character(len=16) :: restr2 ! restriction over application of AS
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character(len=16) :: prol2 ! prolongation over application of AS
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character(len=16) :: solve2 ! local subsolver type: ILU, MILU, ILUT,
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! UMF, MUMPS, SLU, FWGS, BWGS, JAC
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integer(psb_ipk_) :: fill2 ! fill-in for incomplete LU factorization
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real(psb_dpk_) :: thr2 ! threshold for ILUT factorization
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! coarsest-level solver
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character(len=16) :: cmat ! coarsest matrix layout: REPL, DIST
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character(len=16) :: csolve ! coarsest-lev solver: BJAC, SLUDIST (distr.
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! mat.); UMF, MUMPS, SLU, ILU, ILUT, MILU
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! (repl. mat.)
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character(len=16) :: csbsolve ! coarsest-lev local subsolver: ILU, ILUT,
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! MILU, UMF, MUMPS, SLU
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integer(psb_ipk_) :: cfill ! fill-in for incomplete LU factorization
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real(psb_dpk_) :: cthres ! threshold for ILUT factorization
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integer(psb_ipk_) :: cjswp ! sweeps for GS or JAC coarsest-lev subsolver
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end type precdata
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type(precdata) :: p_choice
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! sparse matrices
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type(psb_zspmat_type) :: a
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type(psb_lzspmat_type) :: aux_a
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! preconditioner data
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type(amg_zprec_type) :: prec
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! dense matrices
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complex(psb_dpk_), allocatable, target :: aux_b(:,:), d(:), aux_g(:,:), aux_x(:,:)
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complex(psb_dpk_), allocatable , save :: x_col_glob(:), r_col_glob(:)
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complex(psb_dpk_), pointer :: b_col_glob(:), ref_col_glob(:), guess_col_glob(:)
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type(psb_z_vect_type) :: b_col, x_col, r_col, ref_col
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! communications data structure
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type(psb_desc_type):: desc_a
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type(psb_ctxt_type) :: ctxt
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integer(psb_ipk_) :: iam, np
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integer(psb_lpk_) :: lnp
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! solver paramters
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integer(psb_ipk_) :: iter, ircode, nlv
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integer(psb_epk_) :: amatsize, precsize, descsize
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real(psb_dpk_) :: err
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character(len=5) :: afmt
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character(len=20) :: name, renum
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integer(psb_ipk_), parameter :: iunit=12
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integer(psb_ipk_) :: iparm(20)
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! other variables
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integer(psb_ipk_) :: i, info, j, k, m_problem
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integer(psb_lpk_) :: lbw, ubw, prf
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real(psb_dpk_) :: t1, t2, tprec, thier, tslv
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real(psb_dpk_) :: resmx, resmxp, xdiffn2, xdiffni, xni, xn2
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integer(psb_ipk_) :: nrhs, nv
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integer(psb_ipk_), allocatable :: ivg(:), ipv(:)
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integer(psb_lpk_), allocatable :: perm(:)
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logical :: have_guess=.false., have_ref=.false.
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call psb_init(ctxt)
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call psb_info(ctxt,iam,np)
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if (iam < 0) then
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! This should not happen, but just in case
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call psb_exit(ctxt)
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stop
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endif
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name='amg_zf_sample'
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if(psb_get_errstatus() /= 0) goto 9999
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info=psb_success_
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call psb_set_errverbosity(itwo)
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!
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! Hello world
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!
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if (iam == psb_root_) then
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write(psb_out_unit,*) ' '
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write(psb_out_unit,*) 'Welcome to MLD2P4 version: ',amg_version_string_
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write(psb_out_unit,*) 'This is the ',trim(name),' sample test program'
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write(psb_out_unit,*) ' '
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end if
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!
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! get parameters
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!
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call get_parms(ctxt,mtrx_file,rhs_file,guess_file,sol_file,filefmt, &
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& part,afmt,s_choice,p_choice)
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call psb_barrier(ctxt)
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t1 = psb_wtime()
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! read the input matrix to be processed and (possibly) the rhs,
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! the initial guess and the reference solution
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nrhs = 1
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if (iam == psb_root_) then
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select case(psb_toupper(filefmt))
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case('MM')
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! For Matrix Market we have an input file for the matrix
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! and (optional) separate files for the rhs, the initial guess
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! and the reference solution
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call mm_mat_read(aux_a,info,iunit=iunit,filename=mtrx_file)
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if ((info == psb_success_).and.(rhs_file /= 'NONE')) &
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& call mm_array_read(aux_b,info,iunit=iunit,filename=rhs_file)
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if ((info == psb_success_).and.(guess_file /= 'NONE')) then
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call mm_array_read(aux_g,info,iunit=iunit,filename=guess_file)
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have_guess = .true.
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end if
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if ((info == psb_success_).and.(sol_file /= 'NONE')) then
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call mm_array_read(aux_x,info,iunit=iunit,filename=sol_file)
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have_ref = .true.
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end if
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case ('HB')
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! For Harwell-Boeing we have a single file which may or may not
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! contain rhs, initial guess and reference solution.
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call hb_read(aux_a,info,iunit=iunit,b=aux_b,&
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& g=aux_g,x=aux_x,filename=mtrx_file)
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have_guess = allocated(aux_g)
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have_ref = allocated(aux_x)
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case default
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info = -1
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write(psb_err_unit,*) 'Wrong choice for fileformat ', filefmt
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end select
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if (info /= psb_success_) then
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write(psb_err_unit,*) 'Error while reading input matrix '
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call psb_abort(ctxt)
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end if
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m_problem = aux_a%get_nrows()
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call psb_bcast(ctxt,m_problem)
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call psb_bcast(ctxt,have_guess)
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call psb_bcast(ctxt,have_ref)
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! At this point aux_b may still be unallocated
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if (psb_size(aux_b,dim=ione) == m_problem) then
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! if any rhs were present, broadcast the first one
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write(psb_err_unit,'("Ok, got an rhs ")')
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b_col_glob =>aux_b(:,1)
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else
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write(psb_out_unit,'("Generating an rhs...")')
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call psb_realloc(m_problem,1,aux_b,ircode)
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if (ircode /= 0) then
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call psb_errpush(psb_err_alloc_dealloc_,name)
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goto 9999
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endif
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b_col_glob => aux_b(:,1)
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do i=1, m_problem
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b_col_glob(i) = 1.d0
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enddo
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endif
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if ((have_guess).and.(psb_size(aux_g,dim=ione) == m_problem)) then
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! if any initial guess were present, broadcast the first one
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write(psb_err_unit,'("Ok, got an initial guess ")')
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guess_col_glob =>aux_g(:,1)
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else
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write(psb_out_unit,'("Generating an initial guess...")')
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call psb_realloc(m_problem,1,aux_g,ircode)
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if (ircode /= 0) then
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call psb_errpush(psb_err_alloc_dealloc_,name)
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goto 9999
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endif
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guess_col_glob => aux_g(:,1)
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do i=1, m_problem
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guess_col_glob(i) = 0.d0
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enddo
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endif
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if ((have_ref).and.(psb_size(aux_x,dim=ione) == m_problem)) then
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! if any reference were present, broadcast the first one
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write(psb_err_unit,'("Ok, got a reference solution ")')
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ref_col_glob =>aux_x(:,1)
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else
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write(psb_out_unit,'("No reference solution...")')
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endif
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! clean zeros in the input matrix
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call aux_a%clean_zeros(info)
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else
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call psb_bcast(ctxt,m_problem)
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call psb_bcast(ctxt,have_guess)
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call psb_bcast(ctxt,have_ref)
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end if
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!
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! Renumbering (NONE for the moment)
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!
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if (iam==psb_root_) then
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renum='NONE'
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call psb_cmp_bwpf(aux_a,lbw,ubw,prf,info)
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write(psb_out_unit,'(" ")')
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write(psb_out_unit,*) 'Bandwidth and profile: ',lbw,ubw,prf
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write(psb_out_unit,*) 'Renumbering algorithm: ',psb_toupper(renum)
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if (trim(psb_toupper(renum))/='NONE') then
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call psb_mat_renum(renum,aux_a,info,perm=perm)
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if (info /= 0) then
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write(psb_err_unit,*) 'Error from RENUM',info
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goto 9999
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end if
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call psb_gelp('N',perm(1:m_problem),b_col_glob(1:m_problem),info)
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call psb_cmp_bwpf(aux_a,lbw,ubw,prf,info)
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write(psb_out_unit,*) 'Bandwidth and profile (renumberd):',lbw,ubw,prf
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end if
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write(psb_out_unit,'(" ")')
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end if
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!
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! switch over different partition types
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!
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select case (psb_toupper(part))
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case('BLOCK')
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call psb_barrier(ctxt)
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if (iam == psb_root_) write(psb_out_unit,'("Partition type: block")')
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call psb_matdist(aux_a, a, ctxt, desc_a,info,fmt=afmt,parts=part_block)
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case('GRAPH')
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if (iam == psb_root_) then
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write(psb_out_unit,'("Partition type: graph")')
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write(psb_out_unit,'(" ")')
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! write(psb_err_unit,'("Build type: graph")')
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call aux_a%cscnv(info,type='csr')
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lnp = np
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call build_mtpart(aux_a,lnp)
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endif
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call distr_mtpart(psb_root_,ctxt)
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call getv_mtpart(ivg)
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call psb_matdist(aux_a, a, ctxt,desc_a,info,fmt=afmt,vg=ivg)
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case default
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if (iam == psb_root_) write(psb_out_unit,'("Partition type: block")')
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call psb_matdist(aux_a, a, ctxt, desc_a,info,fmt=afmt,parts=part_block)
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end select
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!
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! Scatter rhs, initial guess and reference solution
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!
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call psb_geall(b_col,desc_a,info)
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call psb_geall(x_col,desc_a,info)
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if (have_ref) call psb_geall(ref_col,desc_a,info)
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if (iam == psb_root_) write(psb_out_unit,'("Scatter rhs")')
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call psb_scatter(b_col_glob,b_col,desc_a,info)
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if (iam == psb_root_) write(psb_out_unit,'("Scatter initial guess")')
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call psb_scatter(guess_col_glob,x_col,desc_a,info)
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if (have_ref) then
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if (iam == psb_root_) write(psb_out_unit,'("Scatter reference solution")')
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call psb_scatter(ref_col_glob,ref_col,desc_a,info)
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end if
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t2 = psb_wtime() - t1
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call psb_amx(ctxt, t2)
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if (iam == psb_root_) then
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write(psb_out_unit,'(" ")')
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write(psb_out_unit,'("Time to read and partition matrix, rhs(, guess, ref sol) : ",es12.5)')t2
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write(psb_out_unit,'(" ")')
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end if
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!
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! initialize the preconditioner
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!
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call prec%init(ctxt,p_choice%ptype,info)
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select case(trim(psb_toupper(p_choice%ptype)))
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case ('NONE','NOPREC')
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! Do nothing, keep defaults
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case ('JACOBI','GS','FWGS','FBGS')
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! 1-level sweeps from "outer_sweeps"
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call prec%set('smoother_sweeps', p_choice%jsweeps, info)
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case ('BJAC')
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call prec%set('smoother_sweeps', p_choice%jsweeps, info)
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call prec%set('sub_solve', p_choice%solve, info)
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call prec%set('sub_fillin', p_choice%fill, info)
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call prec%set('sub_iluthrs', p_choice%thr, info)
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case('AS')
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call prec%set('smoother_sweeps', p_choice%jsweeps, info)
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call prec%set('sub_ovr', p_choice%novr, info)
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call prec%set('sub_restr', p_choice%restr, info)
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call prec%set('sub_prol', p_choice%prol, info)
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call prec%set('sub_solve', p_choice%solve, info)
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call prec%set('sub_fillin', p_choice%fill, info)
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call prec%set('sub_iluthrs', p_choice%thr, info)
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case ('ML')
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! multilevel preconditioner
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call prec%set('ml_cycle', p_choice%mlcycle, info)
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call prec%set('outer_sweeps', p_choice%outer_sweeps,info)
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if (p_choice%csize>0)&
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& call prec%set('min_coarse_size', p_choice%csize, info)
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if (p_choice%mncrratio>1)&
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& call prec%set('min_cr_ratio', p_choice%mncrratio, info)
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if (p_choice%maxlevs>0)&
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& call prec%set('max_levs', p_choice%maxlevs, info)
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if (p_choice%athres >= dzero) &
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& call prec%set('aggr_thresh', p_choice%athres, info)
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if (p_choice%thrvsz>0) then
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do k=1,min(p_choice%thrvsz,size(prec%precv)-1)
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call prec%set('aggr_thresh', p_choice%athresv(k), info,ilev=(k+1))
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end do
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end if
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call prec%set('aggr_prol', p_choice%aggr_prol, info)
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call prec%set('par_aggr_alg', p_choice%par_aggr_alg, info)
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call prec%set('aggr_ord', p_choice%aggr_ord, info)
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call prec%set('aggr_filter', p_choice%aggr_filter,info)
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call prec%set('smoother_type', p_choice%smther, info)
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call prec%set('smoother_sweeps', p_choice%jsweeps, info)
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|
|
select case (psb_toupper(p_choice%smther))
|
|
case ('GS','BWGS','FBGS','JACOBI')
|
|
! do nothing
|
|
case default
|
|
call prec%set('sub_ovr', p_choice%novr, info)
|
|
call prec%set('sub_restr', p_choice%restr, info)
|
|
call prec%set('sub_prol', p_choice%prol, info)
|
|
call prec%set('sub_solve', p_choice%solve, info)
|
|
call prec%set('sub_fillin', p_choice%fill, info)
|
|
call prec%set('sub_iluthrs', p_choice%thr, info)
|
|
end select
|
|
|
|
if (psb_toupper(p_choice%smther2) /= 'NONE') then
|
|
call prec%set('smoother_type', p_choice%smther2, info,pos='post')
|
|
call prec%set('smoother_sweeps', p_choice%jsweeps2, info,pos='post')
|
|
select case (psb_toupper(p_choice%smther2))
|
|
case ('GS','BWGS','FBGS','JACOBI')
|
|
! do nothing
|
|
case default
|
|
call prec%set('sub_ovr', p_choice%novr2, info,pos='post')
|
|
call prec%set('sub_restr', p_choice%restr2, info,pos='post')
|
|
call prec%set('sub_prol', p_choice%prol2, info,pos='post')
|
|
call prec%set('sub_solve', p_choice%solve2, info,pos='post')
|
|
call prec%set('sub_fillin', p_choice%fill2, info,pos='post')
|
|
call prec%set('sub_iluthrs', p_choice%thr2, info,pos='post')
|
|
end select
|
|
end if
|
|
|
|
call prec%set('coarse_solve', p_choice%csolve, info)
|
|
if (psb_toupper(p_choice%csolve) == 'BJAC') &
|
|
& call prec%set('coarse_subsolve', p_choice%csbsolve, info)
|
|
call prec%set('coarse_mat', p_choice%cmat, info)
|
|
call prec%set('coarse_fillin', p_choice%cfill, info)
|
|
call prec%set('coarse_iluthrs', p_choice%cthres, info)
|
|
call prec%set('coarse_sweeps', p_choice%cjswp, info)
|
|
|
|
end select
|
|
|
|
! build the preconditioner
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call prec%hierarchy_build(a,desc_a,info)
|
|
thier = psb_wtime()-t1
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='amg_hierarchy_bld')
|
|
goto 9999
|
|
end if
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call prec%smoothers_build(a,desc_a,info)
|
|
tprec = psb_wtime()-t1
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='amg_smoothers_bld')
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_amx(ctxt, thier)
|
|
call psb_amx(ctxt, tprec)
|
|
|
|
if(iam == psb_root_) then
|
|
write(psb_out_unit,'(" ")')
|
|
write(psb_out_unit,'("Preconditioner: ",a)') trim(p_choice%descr)
|
|
write(psb_out_unit,'("Preconditioner time: ",es12.5)')thier+tprec
|
|
write(psb_out_unit,'(" ")')
|
|
end if
|
|
|
|
!
|
|
! iterative method parameters
|
|
!
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call psb_krylov(s_choice%kmethd,a,prec,b_col,x_col,s_choice%eps,&
|
|
& desc_a,info,itmax=s_choice%itmax,iter=iter,err=err,itrace=s_choice%itrace,&
|
|
& istop=s_choice%istopc,irst=s_choice%irst)
|
|
call psb_barrier(ctxt)
|
|
tslv = psb_wtime() - t1
|
|
|
|
call psb_amx(ctxt,tslv)
|
|
|
|
! compute residual norms
|
|
call psb_geall(r_col,desc_a,info)
|
|
call r_col%zero()
|
|
call psb_geasb(r_col,desc_a,info)
|
|
call psb_geaxpby(zone,b_col,zzero,r_col,desc_a,info)
|
|
call psb_spmm(-zone,a,x_col,zone,r_col,desc_a,info)
|
|
resmx = psb_genrm2(r_col,desc_a,info)
|
|
resmxp = psb_geamax(r_col,desc_a,info)
|
|
|
|
! compute error in solution
|
|
if (have_ref) then
|
|
call psb_geaxpby(-zone,x_col,zone,ref_col,desc_a,info)
|
|
xdiffn2 = psb_genrm2(ref_col,desc_a,info)
|
|
xdiffni = psb_geamax(ref_col,desc_a,info)
|
|
xn2 = psb_genrm2(ref_col,desc_a,info)
|
|
xni = psb_geamax(ref_col,desc_a,info)
|
|
end if
|
|
|
|
amatsize = a%sizeof()
|
|
descsize = desc_a%sizeof()
|
|
precsize = prec%sizeof()
|
|
call psb_sum(ctxt,amatsize)
|
|
call psb_sum(ctxt,descsize)
|
|
call psb_sum(ctxt,precsize)
|
|
call prec%descr(info,iout=psb_out_unit)
|
|
if (iam == psb_root_) then
|
|
write(psb_out_unit,'("Matrix: ",a)')mtrx_file
|
|
write(psb_out_unit,'("Computed solution on ",i8," processors")')np
|
|
write(psb_out_unit,'("Krylov method : ",a)') trim(s_choice%kmethd)
|
|
write(psb_out_unit,'("Preconditioner : ",a)') trim(p_choice%descr)
|
|
write(psb_out_unit,'("Iterations to convergence : ",i12)')iter
|
|
write(psb_out_unit,'("Relative error estimate on exit : ",es12.5)') err
|
|
write(psb_out_unit,'("Number of levels in hierarchy : ",i12)') prec%get_nlevs()
|
|
write(psb_out_unit,'("Time to build hierarchy : ",es12.5)')thier
|
|
write(psb_out_unit,'("Time to build smoothers : ",es12.5)')tprec
|
|
write(psb_out_unit,'("Total time for preconditioner : ",es12.5)')tprec+thier
|
|
write(psb_out_unit,'("Time to solve system : ",es12.5)')tslv
|
|
write(psb_out_unit,'("Time per iteration : ",es12.5)')tslv/iter
|
|
write(psb_out_unit,'("Total time : ",es12.5)')tslv+tprec+thier
|
|
write(psb_out_unit,'("Residual 2-norm : ",es12.5)')resmx
|
|
write(psb_out_unit,'("Residual inf-norm : ",es12.5)')resmxp
|
|
write(psb_out_unit,'("Total memory occupation for A : ",i12)')amatsize
|
|
write(psb_out_unit,'("Total memory occupation for DESC_A : ",i12)')descsize
|
|
write(psb_out_unit,'("Total memory occupation for PREC : ",i12)')precsize
|
|
write(psb_out_unit,'("Storage format for A : ",a )')a%get_fmt()
|
|
write(psb_out_unit,'("Storage format for DESC_A : ",a )')desc_a%get_fmt()
|
|
if (have_ref) then
|
|
write(psb_out_unit,'(" ")')
|
|
write(psb_out_unit,'(2x,a10,9x,a8,4x,a20,5x,a8)') &
|
|
& '||X-XREF||','||XREF||','||X-XREF||/||XREF||','(2-norm)'
|
|
write(psb_out_unit,'(1x,3(e12.6,6x))') xdiffn2,xn2,xdiffn2/xn2
|
|
write(psb_out_unit,'(" ")')
|
|
write(psb_out_unit,'(2x,a10,9x,a8,4x,a20,4x,a10)') &
|
|
& '||X-XREF||','||XREF||','||X-XREF||/||XREF||','(inf-norm)'
|
|
write(psb_out_unit,'(1x,3(e12.6,6x))') xdiffni,xni,xdiffni/xni
|
|
end if
|
|
|
|
end if
|
|
|
|
call psb_gather(x_col_glob,x_col,desc_a,info,root=psb_root_)
|
|
if (info == psb_success_) &
|
|
& call psb_gather(r_col_glob,r_col,desc_a,info,root=psb_root_)
|
|
if (info /= psb_success_) goto 9999
|
|
if (iam == psb_root_) then
|
|
write(psb_err_unit,'(" ")')
|
|
write(psb_err_unit,'("Saving x on file")')
|
|
write(20,*) 'Matrix: ',mtrx_file
|
|
write(20,*) 'Krylov method:',trim(s_choice%kmethd)
|
|
write(20,*) 'Preconditioner:',trim(p_choice%descr)
|
|
write(20,*) 'Computed solution on ',np,' processors.'
|
|
write(20,*) 'Iterations to convergence: ',iter
|
|
write(20,*) 'Error estimate (infinity norm) on exit:', &
|
|
& ' ||r||/||b|| (inf-norm) = ',err
|
|
write(20,'(" Residual 2-norm 2 : ",es12.5)')resmx
|
|
write(20,'(" Residual inf-norm : ",es12.5)')resmxp
|
|
write(20,'(a8,4(2x,a20))') 'I','X(I)','R(I)','B(I)'
|
|
do i=1,m_problem
|
|
write(20,998) i,x_col_glob(i),r_col_glob(i),b_col_glob(i)
|
|
enddo
|
|
end if
|
|
998 format(i8,4(2x,g20.14))
|
|
993 format(i6,4(1x,e12.6))
|
|
|
|
|
|
call psb_gefree(b_col,desc_a,info)
|
|
call psb_gefree(x_col,desc_a,info)
|
|
call psb_gefree(r_col,desc_a,info)
|
|
call psb_gefree(ref_col,desc_a,info)
|
|
call psb_spfree(a, desc_a,info)
|
|
call prec%free(info)
|
|
call psb_cdfree(desc_a,info)
|
|
|
|
call psb_exit(ctxt)
|
|
stop
|
|
|
|
9999 continue
|
|
call psb_error(ctxt)
|
|
|
|
contains
|
|
!
|
|
! get iteration parameters from standard input
|
|
!
|
|
subroutine get_parms(ctxt,mtrx,rhs,guess,sol,filefmt,part,afmt,solve,prec)
|
|
|
|
implicit none
|
|
|
|
type(psb_ctxt_type) :: ctxt
|
|
character(len=*) :: mtrx, rhs, guess, sol, filefmt, afmt, part
|
|
type(solverdata) :: solve
|
|
type(precdata) :: prec
|
|
integer(psb_ipk_) :: iam, nm, np, inp_unit
|
|
character(len=1024) :: filename
|
|
|
|
call psb_info(ctxt,iam,np)
|
|
|
|
if (iam == psb_root_) then
|
|
! read input data
|
|
if (command_argument_count()>0) then
|
|
call get_command_argument(1,filename)
|
|
inp_unit = 30
|
|
open(inp_unit,file=filename,action='read',iostat=info)
|
|
if (info /= 0) then
|
|
write(psb_err_unit,*) 'Could not open file ',filename,' for input'
|
|
call psb_abort(ctxt)
|
|
stop
|
|
else
|
|
write(psb_err_unit,*) 'Opened file ',trim(filename),' for input'
|
|
end if
|
|
else
|
|
inp_unit=psb_inp_unit
|
|
end if
|
|
!
|
|
! input files
|
|
call read_data(mtrx,inp_unit) ! matrix file
|
|
call read_data(rhs,inp_unit) ! rhs file
|
|
call read_data(guess,inp_unit) ! starting guess file
|
|
call read_data(sol,inp_unit) ! solution file (for comparison)
|
|
call read_data(filefmt,inp_unit) ! format of files
|
|
call read_data(afmt,inp_unit) ! matrix storage format
|
|
call read_data(part,inp_unit) ! partition type
|
|
! Krylov solver data
|
|
call read_data(solve%kmethd,inp_unit) ! Krylov solver
|
|
call read_data(solve%istopc,inp_unit) ! stopping criterion
|
|
call read_data(solve%itmax,inp_unit) ! max num iterations
|
|
call read_data(solve%itrace,inp_unit) ! tracing
|
|
call read_data(solve%irst,inp_unit) ! restart
|
|
call read_data(solve%eps,inp_unit) ! tolerance
|
|
! preconditioner type
|
|
call read_data(prec%descr,inp_unit) ! verbose description of the prec
|
|
call read_data(prec%ptype,inp_unit) ! preconditioner type
|
|
! First smoother / 1-lev preconditioner
|
|
call read_data(prec%smther,inp_unit) ! smoother type
|
|
call read_data(prec%jsweeps,inp_unit) ! (pre-)smoother / 1-lev prec sweeps
|
|
call read_data(prec%novr,inp_unit) ! number of overlap layers
|
|
call read_data(prec%restr,inp_unit) ! restriction over application of AS
|
|
call read_data(prec%prol,inp_unit) ! prolongation over application of AS
|
|
call read_data(prec%solve,inp_unit) ! local subsolver
|
|
call read_data(prec%fill,inp_unit) ! fill-in for incomplete LU
|
|
call read_data(prec%thr,inp_unit) ! threshold for ILUT
|
|
! Second smoother/ AMG post-smoother (if NONE ignored in main)
|
|
call read_data(prec%smther2,inp_unit) ! smoother type
|
|
call read_data(prec%jsweeps2,inp_unit) ! (post-)smoother sweeps
|
|
call read_data(prec%novr2,inp_unit) ! number of overlap layers
|
|
call read_data(prec%restr2,inp_unit) ! restriction over application of AS
|
|
call read_data(prec%prol2,inp_unit) ! prolongation over application of AS
|
|
call read_data(prec%solve2,inp_unit) ! local subsolver
|
|
call read_data(prec%fill2,inp_unit) ! fill-in for incomplete LU
|
|
call read_data(prec%thr2,inp_unit) ! threshold for ILUT
|
|
! general AMG data
|
|
call read_data(prec%mlcycle,inp_unit) ! AMG cycle type
|
|
call read_data(prec%outer_sweeps,inp_unit) ! number of 1lev/outer sweeps
|
|
call read_data(prec%maxlevs,inp_unit) ! max number of levels in AMG prec
|
|
call read_data(prec%csize,inp_unit) ! min size coarsest mat
|
|
! aggregation
|
|
call read_data(prec%aggr_prol,inp_unit) ! aggregation type
|
|
call read_data(prec%par_aggr_alg,inp_unit) ! parallel aggregation alg
|
|
call read_data(prec%aggr_ord,inp_unit) ! ordering for aggregation
|
|
call read_data(prec%mncrratio,inp_unit) ! minimum aggregation ratio
|
|
call read_data(prec%aggr_filter,inp_unit) ! filtering
|
|
call read_data(prec%athres,inp_unit) ! smoothed aggr thresh
|
|
call read_data(prec%thrvsz,inp_unit) ! size of aggr thresh vector
|
|
if (prec%thrvsz > 0) then
|
|
call psb_realloc(prec%thrvsz,prec%athresv,info)
|
|
call read_data(prec%athresv,inp_unit) ! aggr thresh vector
|
|
else
|
|
read(inp_unit,*) ! dummy read to skip a record
|
|
end if
|
|
! coasest-level solver
|
|
call read_data(prec%csolve,inp_unit) ! coarsest-lev solver
|
|
call read_data(prec%csbsolve,inp_unit) ! coarsest-lev subsolver
|
|
call read_data(prec%cmat,inp_unit) ! coarsest mat layout
|
|
call read_data(prec%cfill,inp_unit) ! fill-in for incompl LU
|
|
call read_data(prec%cthres,inp_unit) ! Threshold for ILUT
|
|
call read_data(prec%cjswp,inp_unit) ! sweeps for GS/JAC subsolver
|
|
if (inp_unit /= psb_inp_unit) then
|
|
close(inp_unit)
|
|
end if
|
|
end if
|
|
|
|
call psb_bcast(ctxt,mtrx)
|
|
call psb_bcast(ctxt,rhs)
|
|
call psb_bcast(ctxt,guess)
|
|
call psb_bcast(ctxt,sol)
|
|
call psb_bcast(ctxt,filefmt)
|
|
call psb_bcast(ctxt,afmt)
|
|
call psb_bcast(ctxt,part)
|
|
|
|
call psb_bcast(ctxt,solve%kmethd)
|
|
call psb_bcast(ctxt,solve%istopc)
|
|
call psb_bcast(ctxt,solve%itmax)
|
|
call psb_bcast(ctxt,solve%itrace)
|
|
call psb_bcast(ctxt,solve%irst)
|
|
call psb_bcast(ctxt,solve%eps)
|
|
|
|
call psb_bcast(ctxt,prec%descr)
|
|
call psb_bcast(ctxt,prec%ptype)
|
|
|
|
! broadcast first (pre-)smoother / 1-lev prec data
|
|
call psb_bcast(ctxt,prec%smther)
|
|
call psb_bcast(ctxt,prec%jsweeps)
|
|
call psb_bcast(ctxt,prec%novr)
|
|
call psb_bcast(ctxt,prec%restr)
|
|
call psb_bcast(ctxt,prec%prol)
|
|
call psb_bcast(ctxt,prec%solve)
|
|
call psb_bcast(ctxt,prec%fill)
|
|
call psb_bcast(ctxt,prec%thr)
|
|
! broadcast second (post-)smoother
|
|
call psb_bcast(ctxt,prec%smther2)
|
|
call psb_bcast(ctxt,prec%jsweeps2)
|
|
call psb_bcast(ctxt,prec%novr2)
|
|
call psb_bcast(ctxt,prec%restr2)
|
|
call psb_bcast(ctxt,prec%prol2)
|
|
call psb_bcast(ctxt,prec%solve2)
|
|
call psb_bcast(ctxt,prec%fill2)
|
|
call psb_bcast(ctxt,prec%thr2)
|
|
|
|
! broadcast AMG parameters
|
|
call psb_bcast(ctxt,prec%mlcycle)
|
|
call psb_bcast(ctxt,prec%outer_sweeps)
|
|
call psb_bcast(ctxt,prec%maxlevs)
|
|
|
|
call psb_bcast(ctxt,prec%aggr_prol)
|
|
call psb_bcast(ctxt,prec%par_aggr_alg)
|
|
call psb_bcast(ctxt,prec%aggr_ord)
|
|
call psb_bcast(ctxt,prec%aggr_filter)
|
|
call psb_bcast(ctxt,prec%mncrratio)
|
|
call psb_bcast(ctxt,prec%thrvsz)
|
|
if (prec%thrvsz > 0) then
|
|
if (iam /= psb_root_) call psb_realloc(prec%thrvsz,prec%athresv,info)
|
|
call psb_bcast(ctxt,prec%athresv)
|
|
end if
|
|
call psb_bcast(ctxt,prec%athres)
|
|
|
|
call psb_bcast(ctxt,prec%csize)
|
|
call psb_bcast(ctxt,prec%cmat)
|
|
call psb_bcast(ctxt,prec%csolve)
|
|
call psb_bcast(ctxt,prec%csbsolve)
|
|
call psb_bcast(ctxt,prec%cfill)
|
|
call psb_bcast(ctxt,prec%cthres)
|
|
call psb_bcast(ctxt,prec%cjswp)
|
|
|
|
|
|
end subroutine get_parms
|
|
|
|
end program amg_zf_sample
|