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515 lines
22 KiB
Fortran
515 lines
22 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 , 2016
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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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program mld_zf_sample
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use psb_base_mod
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use mld_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
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character(len=2) :: filefmt
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type precdata
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character(len=20) :: descr ! verbose description of the prec
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character(len=10) :: prec ! overall prectype
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integer(psb_ipk_) :: novr ! number of overlap layers
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integer(psb_ipk_) :: jsweeps ! Jacobi/smoother sweeps
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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 ! factorization type: ILU, SuperLU, UMFPACK
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integer(psb_ipk_) :: fill ! fillin for factorization
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real(psb_dpk_) :: thr ! threshold for fact. ILU(T)
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character(len=16) :: smther ! Smoother
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integer(psb_ipk_) :: nlev ! number of levels in multilevel prec.
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character(len=16) :: aggrkind ! smoothed, raw aggregation
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character(len=16) :: aggr_alg ! aggregation algorithm (currently only decoupled)
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character(len=16) :: aggr_ord ! Ordering for aggregation
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character(len=16) :: mltype ! additive or multiplicative multi-level prec
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character(len=16) :: smthpos ! side: pre, post, both smoothing
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character(len=16) :: cmat ! coarse mat: distributed, replicated
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character(len=16) :: csolve ! coarse solver: bjac, umf, slu, sludist
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character(len=16) :: csbsolve ! coarse subsolver: ILU, ILU(T), SuperLU, UMFPACK
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integer(psb_ipk_) :: cfill ! fillin for coarse factorization
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real(psb_dpk_) :: cthres ! threshold for coarse fact. ILU(T)
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integer(psb_ipk_) :: cjswp ! block-Jacobi sweeps
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real(psb_dpk_) :: athres ! smoothed aggregation threshold
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real(psb_dpk_) :: ascale ! smoothed aggregation scale factor
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end type precdata
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type(precdata) :: prec_choice
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! sparse matrices
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type(psb_zspmat_type) :: a, aux_a
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! preconditioner data
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type(mld_zprec_type) :: prec
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! dense matrices
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complex(psb_dpk_), allocatable, target :: aux_b(:,:), d(:)
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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(:)
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type(psb_z_vect_type) :: b_col, x_col, r_col
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! communications data structure
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type(psb_desc_type):: desc_a
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integer(psb_ipk_) :: ictxt, iam, np
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! solver paramters
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integer(psb_ipk_) :: iter, itmax, ierr, itrace, ircode, ipart,&
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& methd, istopc, irst, nlv
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integer(psb_long_int_k_) :: amatsize, precsize, descsize
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real(psb_dpk_) :: err, eps
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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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character(len=40) :: fprefix
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! other variables
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integer(psb_ipk_) :: i,info,j,m_problem
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integer(psb_ipk_) :: internal, m,ii,nnzero
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real(psb_dpk_) :: t1, t2, tprec, thier, tslv
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real(psb_dpk_) :: r_amax, b_amax, scale,resmx,resmxp
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integer(psb_ipk_) :: nrhs, nrow, n_row, dim, nv, ne
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integer(psb_ipk_), allocatable :: ivg(:), ipv(:)
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call psb_init(ictxt)
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call psb_info(ictxt,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(ictxt)
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stop
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endif
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name='mld_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(*,*) 'Welcome to MLD2P4 version: ',mld_version_string_
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write(*,*) 'This is the ',trim(name),' sample program'
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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(ictxt,mtrx_file,rhs_file,filefmt,kmethd,&
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& prec_choice,ipart,afmt,istopc,itmax,itrace,irst,eps)
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call psb_barrier(ictxt)
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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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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 an (optional) second file for the RHS.
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call mm_mat_read(aux_a,info,iunit=iunit,filename=mtrx_file)
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if (info == psb_success_) then
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if (rhs_file /= 'NONE') then
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call mm_array_read(aux_b,info,iunit=iunit,filename=rhs_file)
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end if
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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 an RHS.
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call hb_read(aux_a,info,iunit=iunit,b=aux_b,filename=mtrx_file)
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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(ictxt)
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end if
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m_problem = aux_a%get_nrows()
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call psb_bcast(ictxt,m_problem)
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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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write(psb_out_unit,'(" ")')
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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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else
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call psb_bcast(ictxt,m_problem)
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end if
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! switch over different partition types
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if (ipart == 0) then
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call psb_barrier(ictxt)
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if (iam == psb_root_) write(psb_out_unit,'("Partition type: block")')
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allocate(ivg(m_problem),ipv(np))
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do i=1,m_problem
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call part_block(i,m_problem,np,ipv,nv)
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ivg(i) = ipv(1)
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enddo
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call psb_matdist(aux_a, a, ictxt,desc_a,info,fmt=afmt,v=ivg)
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else if (ipart == 2) then
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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 build_mtpart(aux_a,np)
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endif
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!!$ call psb_barrier(ictxt)
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call distr_mtpart(psb_root_,ictxt)
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call getv_mtpart(ivg)
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call psb_matdist(aux_a, a, ictxt,desc_a,info,fmt=afmt,v=ivg)
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else
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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, ictxt, desc_a,info,fmt=afmt,parts=part_block)
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end if
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call psb_scatter(b_col_glob,b_col,desc_a,info,root=psb_root_)
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call psb_geall(x_col,desc_a,info)
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call x_col%zero()
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call psb_geasb(x_col,desc_a,info)
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call psb_geall(r_col,desc_a,info)
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call r_col%zero()
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call psb_geasb(r_col,desc_a,info)
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t2 = psb_wtime() - t1
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call psb_amx(ictxt, 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 : ",es12.5)')t2
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write(psb_out_unit,'(" ")')
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write(psb_out_unit,*) 'Preconditioner: ',prec_choice%descr
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end if
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!
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if (psb_toupper(prec_choice%prec) == 'ML') then
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call mld_precinit(prec,prec_choice%prec, info)
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if (prec_choice%nlev > 0) &
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& call mld_precset(prec,'max_prec_levs', prec_choice%nlev, info)
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call mld_precset(prec,'aggr_kind', prec_choice%aggrkind,info)
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call mld_precset(prec,'aggr_alg', prec_choice%aggr_alg,info)
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call mld_precset(prec,'aggr_ord', prec_choice%aggr_ord,info)
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call mld_precset(prec,'aggr_scale', prec_choice%ascale, info)
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call mld_precset(prec,'aggr_thresh', prec_choice%athres, info)
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call mld_precset(prec,'smoother_type', prec_choice%smther, info)
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call mld_precset(prec,'smoother_sweeps', prec_choice%jsweeps, info)
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call mld_precset(prec,'sub_ovr', prec_choice%novr, info)
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call mld_precset(prec,'sub_restr', prec_choice%restr, info)
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call mld_precset(prec,'sub_prol', prec_choice%prol, info)
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call mld_precset(prec,'sub_solve', prec_choice%solve, info)
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call mld_precset(prec,'sub_fillin', prec_choice%fill, info)
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call mld_precset(prec,'sub_iluthrs', prec_choice%thr, info)
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call mld_precset(prec,'ml_type', prec_choice%mltype, info)
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call mld_precset(prec,'smoother_pos', prec_choice%smthpos, info)
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call mld_precset(prec,'coarse_solve', prec_choice%csolve, info)
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call mld_precset(prec,'coarse_subsolve', prec_choice%csbsolve,info)
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call mld_precset(prec,'coarse_mat', prec_choice%cmat, info)
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call mld_precset(prec,'coarse_fillin', prec_choice%cfill, info)
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call mld_precset(prec,'coarse_iluthrs', prec_choice%cthres, info)
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call mld_precset(prec,'coarse_sweeps', prec_choice%cjswp, info)
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! building the preconditioner
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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call mld_hierarchy_bld(a,desc_a,prec,info)
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thier = psb_wtime()-t1
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_precbld')
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goto 9999
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end if
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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call mld_smoothers_bld(a,desc_a,prec,info)
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tprec = psb_wtime()-t1
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_precbld')
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goto 9999
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end if
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else
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nlv = 1
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call mld_precinit(prec,prec_choice%prec,info)
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if (psb_toupper(prec_choice%prec) /= 'NONE') then
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call mld_precset(prec,'smoother_sweeps', prec_choice%jsweeps, info)
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call mld_precset(prec,'sub_ovr', prec_choice%novr, info)
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call mld_precset(prec,'sub_restr', prec_choice%restr, info)
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call mld_precset(prec,'sub_prol', prec_choice%prol, info)
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call mld_precset(prec,'sub_solve', prec_choice%solve, info)
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call mld_precset(prec,'sub_fillin', prec_choice%fill, info)
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call mld_precset(prec,'sub_iluthrs', prec_choice%thr, info)
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end if
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! building the preconditioner
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thier = dzero
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t1 = psb_wtime()
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call mld_precbld(a,desc_a,prec,info)
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tprec = psb_wtime()-t1
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_precbld')
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goto 9999
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end if
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end if
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call psb_amx(ictxt, thier)
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call psb_amx(ictxt, tprec)
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if(iam == psb_root_) then
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write(psb_out_unit,'("Preconditioner time: ",es12.5)')thier+tprec
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write(psb_out_unit,'(" ")')
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end if
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iparm = 0
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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call psb_krylov(kmethd,a,prec,b_col,x_col,eps,desc_a,info,&
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& itmax=itmax,iter=iter,err=err,itrace=itrace,istop=istopc,irst=irst)
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call psb_barrier(ictxt)
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tslv = psb_wtime() - t1
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call psb_amx(ictxt,tslv)
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call psb_geaxpby(zone,b_col,zzero,r_col,desc_a,info)
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call psb_spmm(-zone,a,x_col,zone,r_col,desc_a,info)
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resmx = psb_genrm2(r_col,desc_a,info)
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resmxp = psb_geamax(r_col,desc_a,info)
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amatsize = a%sizeof()
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descsize = desc_a%sizeof()
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precsize = prec%sizeof()
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call psb_sum(ictxt,amatsize)
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call psb_sum(ictxt,descsize)
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call psb_sum(ictxt,precsize)
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if (iam == psb_root_) then
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call mld_precdescr(prec,info)
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write(psb_out_unit,'("Matrix: ",a)')mtrx_file
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write(psb_out_unit,'("Computed solution on ",i8," processors")')np
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write(psb_out_unit,'("Iterations to convergence : ",i6)')iter
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write(psb_out_unit,'("Error estimate on exit : ",es12.5)')err
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write(psb_out_unit,'("Number of levels in hierarchy : ",i12)') prec%get_nlevs()
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write(psb_out_unit,'("Time to build hierarchy : ",es12.5)')thier
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write(psb_out_unit,'("Time to build smoothers : ",es12.5)')tprec
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write(psb_out_unit,'("Total time for preconditioner : ",es12.5)')tprec+thier
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write(psb_out_unit,'("Time to solve system : ",es12.5)')tslv
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write(psb_out_unit,'("Time per iteration : ",es12.5)')tslv/(iter)
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write(psb_out_unit,'("Total time : ",es12.5)')tslv+tprec
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write(psb_out_unit,'("Residual norm 2 : ",es12.5)')resmx
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write(psb_out_unit,'("Residual norm inf : ",es12.5)')resmxp
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write(psb_out_unit,'("Total memory occupation for A : ",i12)')amatsize
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write(psb_out_unit,'("Total memory occupation for DESC_A : ",i12)')descsize
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write(psb_out_unit,'("Total memory occupation for PREC : ",i12)')precsize
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write(psb_out_unit,'("Storage format for A : ",a )')a%get_fmt()
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write(psb_out_unit,'("Storage format for DESC_A : ",a )')desc_a%get_fmt()
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end if
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call psb_gather(x_col_glob,x_col,desc_a,info,root=psb_root_)
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if (info == psb_success_) &
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& call psb_gather(r_col_glob,r_col,desc_a,info,root=psb_root_)
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if (info /= psb_success_) goto 9999
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if (iam == psb_root_) then
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write(psb_err_unit,'(" ")')
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write(psb_err_unit,'("Saving x on file")')
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write(20,*) 'matrix: ',mtrx_file
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write(20,*) 'computed solution on ',np,' processors.'
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write(20,*) 'iterations to convergence: ',iter
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write(20,*) 'error estimate (infinity norm) on exit:', &
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& ' ||r||/(||a||||x||+||b||) = ',err
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write(20,'("Residual norm 2 : ",es12.5)')resmx
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write(20,'("Residual norm inf : ",es12.5)')resmxp
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write(20,'(a8,4(2x,a20))') 'I','X(I)','R(I)','B(I)'
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do i=1,m_problem
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write(20,998) i,x_col_glob(i),r_col_glob(i),b_col_glob(i)
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enddo
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end if
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998 format(i8,4(2x,g20.14))
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993 format(i6,4(1x,e12.6))
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call psb_gefree(b_col, desc_a,info)
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call psb_gefree(x_col, desc_a,info)
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call psb_spfree(a, desc_a,info)
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call mld_precfree(prec,info)
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call psb_cdfree(desc_a,info)
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call psb_exit(ictxt)
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stop
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9999 continue
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call psb_error(ictxt)
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contains
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!
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! get iteration parameters from standard input
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!
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subroutine get_parms(icontxt,mtrx,rhs,filefmt,kmethd,&
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& prec, ipart,afmt,istopc,itmax,itrace,irst,eps)
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use psb_base_mod
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implicit none
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integer(psb_ipk_) :: icontxt
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character(len=*) :: kmethd, mtrx, rhs, afmt,filefmt
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type(precdata) :: prec
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real(psb_dpk_) :: eps
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integer(psb_ipk_) :: iret, istopc,itmax,itrace, ipart, irst
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integer(psb_ipk_) :: iam, nm, np, i
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call psb_info(icontxt,iam,np)
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if (iam == psb_root_) then
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! read input parameters
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call read_data(mtrx,psb_inp_unit)
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call read_data(rhs,psb_inp_unit)
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call read_data(filefmt,psb_inp_unit)
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call read_data(kmethd,psb_inp_unit)
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call read_data(afmt,psb_inp_unit)
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call read_data(ipart,psb_inp_unit)
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call read_data(istopc,psb_inp_unit)
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call read_data(itmax,psb_inp_unit)
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call read_data(itrace,psb_inp_unit)
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call read_data(irst,psb_inp_unit)
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call read_data(eps,psb_inp_unit)
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call read_data(prec%descr,psb_inp_unit) ! verbose description of the prec
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call read_data(prec%prec,psb_inp_unit) ! overall prectype
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call read_data(prec%novr,psb_inp_unit) ! number of overlap layers
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call read_data(prec%restr,psb_inp_unit) ! restriction over application of as
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call read_data(prec%prol,psb_inp_unit) ! prolongation over application of as
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call read_data(prec%solve,psb_inp_unit) ! Factorization type: ILU, SuperLU, UMFPACK.
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call read_data(prec%fill,psb_inp_unit) ! Fill-in for factorization
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call read_data(prec%thr,psb_inp_unit) ! Threshold for fact. ILU(T)
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call read_data(prec%jsweeps,psb_inp_unit) ! Jacobi sweeps for PJAC
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if (psb_toupper(prec%prec) == 'ML') then
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call read_data(prec%nlev,psb_inp_unit) ! Number of levels in multilevel prec.
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call read_data(prec%smther,psb_inp_unit) ! Smoother type.
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call read_data(prec%aggrkind,psb_inp_unit) ! smoothed/raw aggregatin
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call read_data(prec%aggr_alg,psb_inp_unit) ! local or global aggregation
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call read_data(prec%aggr_ord,psb_inp_unit) ! Ordering for aggregation
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call read_data(prec%mltype,psb_inp_unit) ! additive or multiplicative 2nd level prec
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call read_data(prec%smthpos,psb_inp_unit) ! side: pre, post, both smoothing
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call read_data(prec%cmat,psb_inp_unit) ! coarse mat
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call read_data(prec%csolve,psb_inp_unit) ! Factorization type: BJAC, SuperLU, UMFPACK.
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call read_data(prec%csbsolve,psb_inp_unit) ! Factorization type: ILU, SuperLU, UMFPACK.
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call read_data(prec%cfill,psb_inp_unit) ! Fill-in for factorization
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call read_data(prec%cthres,psb_inp_unit) ! Threshold for fact. ILU(T)
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call read_data(prec%cjswp,psb_inp_unit) ! Jacobi sweeps
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call read_data(prec%athres,psb_inp_unit) ! smoother aggr thresh
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call read_data(prec%ascale,psb_inp_unit) ! smoother aggr thresh
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end if
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end if
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call psb_bcast(icontxt,mtrx)
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call psb_bcast(icontxt,rhs)
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call psb_bcast(icontxt,filefmt)
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call psb_bcast(icontxt,kmethd)
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call psb_bcast(icontxt,afmt)
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call psb_bcast(icontxt,ipart)
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call psb_bcast(icontxt,istopc)
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call psb_bcast(icontxt,itmax)
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call psb_bcast(icontxt,itrace)
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call psb_bcast(icontxt,irst)
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call psb_bcast(icontxt,eps)
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call psb_bcast(icontxt,prec%descr) ! verbose description of the prec
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call psb_bcast(icontxt,prec%prec) ! overall prectype
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call psb_bcast(icontxt,prec%novr) ! number of overlap layers
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call psb_bcast(icontxt,prec%restr) ! restriction over application of as
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call psb_bcast(icontxt,prec%prol) ! prolongation over application of as
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call psb_bcast(icontxt,prec%solve) ! Factorization type: ILU, SuperLU, UMFPACK.
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call psb_bcast(icontxt,prec%fill) ! Fill-in for factorization
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call psb_bcast(icontxt,prec%thr) ! Threshold for fact. ILU(T)
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call psb_bcast(icontxt,prec%jsweeps) ! Jacobi sweeps
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if (psb_toupper(prec%prec) == 'ML') then
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call psb_bcast(icontxt,prec%smther) ! Smoother type.
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call psb_bcast(icontxt,prec%nlev) ! Number of levels in multilevel prec.
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call psb_bcast(icontxt,prec%aggrkind) ! smoothed/raw aggregatin
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call psb_bcast(icontxt,prec%aggr_alg) ! local or global aggregation
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call psb_bcast(icontxt,prec%aggr_ord) ! Ordering for aggregation
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call psb_bcast(icontxt,prec%mltype) ! additive or multiplicative 2nd level prec
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call psb_bcast(icontxt,prec%smthpos) ! side: pre, post, both smoothing
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call psb_bcast(icontxt,prec%cmat) ! coarse mat
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call psb_bcast(icontxt,prec%csolve) ! Factorization type: ILU, SuperLU, UMFPACK.
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call psb_bcast(icontxt,prec%csbsolve) ! Factorization type: ILU, SuperLU, UMFPACK.
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call psb_bcast(icontxt,prec%cfill) ! Fill-in for factorization
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call psb_bcast(icontxt,prec%cthres) ! Threshold for fact. ILU(T)
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call psb_bcast(icontxt,prec%cjswp) ! Jacobi sweeps
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call psb_bcast(icontxt,prec%athres) ! smoother aggr thresh
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call psb_bcast(icontxt,prec%ascale) ! smoother aggr scale factor
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end if
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end subroutine get_parms
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subroutine pr_usage(iout)
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integer(psb_ipk_) iout
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write(iout, *) ' number of parameters is incorrect!'
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write(iout, *) ' use: hb_sample mtrx_file methd prec [ptype &
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&itmax istopc itrace]'
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write(iout, *) ' where:'
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write(iout, *) ' mtrx_file is stored in hb format'
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write(iout, *) ' methd may be: cgstab '
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write(iout, *) ' itmax max iterations [500] '
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write(iout, *) ' istopc stopping criterion [1] '
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write(iout, *) ' itrace 0 (no tracing, default) or '
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write(iout, *) ' >= 0 do tracing every itrace'
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write(iout, *) ' iterations '
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write(iout, *) ' prec may be: ilu diagsc none'
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write(iout, *) ' ptype partition strategy default 0'
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write(iout, *) ' 0: block partition '
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end subroutine pr_usage
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end program mld_zf_sample
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