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341 lines
11 KiB
Fortran
341 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 3.7)
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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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! File: amg_sexample_ml.f90
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!
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! This sample program solves a linear system obtained by discretizing a
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! PDE with Dirichlet BCs. The solver is CG, coupled with one of the
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! following multi-level preconditioner, as explained in Section 4.1 of
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! the AMG4PSBLAS User's and Reference Guide:
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!
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! - choice = 1, the default multi-level preconditioner solver, i.e.,
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! V-cycle with decoupled smoothed aggregation, 1 hybrid forward/backward
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! GS sweep as pre/post-smoother and UMFPACK as coarsest-level
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! solver (Sec. 4.1, Listing 1)
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!
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! - choice = 2, a V-cycle preconditioner with 1 block-Jacobi sweep
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! (with ILU(0) on the blocks) as pre- and post-smoother, and 8 block-Jacobi
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! sweeps (with ILU(0) on the blocks) as coarsest-level solver (Sec. 4.1, Listing 2)
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!
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! - choice = 3, W-cycle preconditioner based on the coupled aggregation relying
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! on matching, with maximum size of aggregates equal to 8 and smoothed prolongators,
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! 2 hybrid forward/backward GS sweeps as pre/post-smoother, a distributed coarsest
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! matrix, and preconditioned Flexible Conjugate Gradient as coarsest-level solver
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! (Sec. 4.1, Listing 3)
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!
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! The matrix and the rhs are read from files (if an rhs is not available, the
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! unit rhs is set).
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!
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!
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! The PDE is a general second order equation in 3d
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!
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! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
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! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
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! dxdx dydy dzdz dx dy dz
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!
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! with Dirichlet boundary conditions
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! u = g
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!
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! on the unit cube 0<=x,y,z<=1.
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!
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!
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! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
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!
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! In this sample program the index space of the discretized
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! computational domain is first numbered sequentially in a standard way,
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! then the corresponding vector is distributed according to a BLOCK
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! data distribution.
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!
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program amg_sexample_ml
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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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use amg_s_pde_mod
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implicit none
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! input parameters
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! sparse matrices
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type(psb_sspmat_type) :: A
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! sparse matrices descriptor
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type(psb_desc_type):: desc_A
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! preconditioner
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type(amg_sprec_type) :: P
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! right-hand side, solution and residual vectors
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type(psb_s_vect_type) :: x, b, r
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! solver and preconditioner parameters
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real(psb_spk_) :: tol, err
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integer :: itmax, iter, istop
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integer :: nlev
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! parallel environment parameters
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type(psb_ctxt_type) :: ctxt
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integer :: iam, np
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! other variables
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integer :: choice
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integer :: i,info,j
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integer(psb_epk_) :: amatsize, precsize, descsize
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integer(psb_epk_) :: system_size
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integer :: idim, ierr, ircode
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real(psb_spk_) :: resmx, resmxp
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real(psb_dpk_) :: t1, t2, tprec
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character(len=5) :: afmt='CSR'
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character(len=20) :: name, kmethod
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! initialize the parallel environment
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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_sexample_ml'
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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(2)
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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 AMG4PSBLAS version: ',amg_version_string_
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write(*,*) 'This is the ',trim(name),' sample program'
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end if
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! get parameters
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call get_parms(ctxt,choice,idim,itmax,tol)
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! allocate and fill in the coefficient matrix, rhs and initial guess
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call psb_barrier(ctxt)
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t1 = psb_wtime()
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call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
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& a1,a2,a3,b1,b2,b3,c,g,info)
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call psb_barrier(ctxt)
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t2 = psb_wtime() - t1
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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call psb_errpush(info,name)
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goto 9999
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end if
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if (iam == psb_root_) write(*,'("Overall matrix creation time : ",es12.5)')t2
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if (iam == psb_root_) write(*,'(" ")')
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select case(choice)
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case(1)
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! initialize the default multi-level preconditioner, i.e. V-cycle
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! with basic smoothed aggregation, 1 hybrid forward/backward
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! GS sweep as pre/post-smoother and UMFPACK as coarsest-level
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! solver
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call P%init(ctxt,'ML',info)
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kmethod = 'CG'
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case(2)
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! initialize a V-cycle preconditioner with 1 block-Jacobi sweep (with
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! ILU(0) on the blocks) as pre- and post-smoother, and 8 block-Jacobi
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! sweeps (with ILU(0) on the blocks) as coarsest-level solver
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call P%init(ctxt,'ML',info)
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call P%set('SMOOTHER_TYPE','BJAC',info)
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call P%set('COARSE_SOLVE','BJAC',info)
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call P%set('COARSE_SWEEPS',8,info)
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kmethod = 'CG'
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case(3)
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! initialize a W-cycle preconditioner based on the coupled aggregation relying on matching,
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! with maximum size of aggregates equal to 8 and smoothed prolongators,
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! 2 hybrid forward/backward GS sweeps as pre/post-smoother, a distributed coarsest
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! matrix, and preconditioned Flexible Conjugate Gradient as coarsest-level solver
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call P%init(ctxt,'ML',info)
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call P%set('PAR_AGGR_ALG','COUPLED',info)
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call P%set('AGGR_TYPE','MATCHBOXP',info)
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call P%set('AGGR_SIZE',8,info)
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call P%set('ML_CYCLE','WCYCLE',info)
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call P%set('SMOOTHER_SWEEPS',2,info)
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call P%set('COARSE_SOLVE','KRM',info)
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call P%set('COARSE_MAT','DIST',info)
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kmethod = 'CG'
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end select
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call psb_barrier(ctxt)
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t1 = psb_wtime()
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! build the preconditioner
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call P%hierarchy_build(A,desc_A,info)
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call P%smoothers_build(A,desc_A,info)
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tprec = psb_wtime()-t1
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call psb_amx(ctxt, tprec)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='amg_precbld')
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goto 9999
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end if
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! set the solver parameters and the initial guess
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call psb_geall(x,desc_A,info)
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call x%zero()
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call psb_geasb(x,desc_A,info)
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! solve Ax=b with preconditioned Krylov method
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call psb_barrier(ctxt)
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t1 = psb_wtime()
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call psb_krylov(kmethod,A,P,b,x,tol,desc_A,info,itmax,iter,err,itrace=1,istop=2)
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t2 = psb_wtime() - t1
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call psb_amx(ctxt,t2)
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call psb_geall(r,desc_A,info)
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call r%zero()
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call psb_geasb(r,desc_A,info)
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call psb_geaxpby(sone,b,szero,r,desc_A,info)
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call psb_spmm(-sone,A,x,sone,r,desc_A,info)
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resmx = psb_genrm2(r,desc_A,info)
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resmxp = psb_geamax(r,desc_A,info)
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amatsize = a%sizeof()
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descsize = desc_a%sizeof()
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precsize = p%sizeof()
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system_size = desc_a%get_global_rows()
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call psb_sum(ctxt,amatsize)
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call psb_sum(ctxt,descsize)
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call psb_sum(ctxt,precsize)
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call P%descr(info)
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if (iam == psb_root_) then
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write(*,'(" ")')
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write(*,'("Matrix from PDE example")')
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write(*,'("Computed solution on ",i8," processors")')np
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write(*,'("Linear system size : ",i12)') system_size
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write(*,'("Krylov method : ",a)') kmethod
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write(*,'("Iterations to convergence : ",i6)')iter
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write(*,'("Error estimate on exit : ",es12.5)')err
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write(*,'("Time to build prec. : ",es12.5)')tprec
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write(*,'("Time to solve system : ",es12.5)')t2
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write(*,'("Time per iteration : ",es12.5)')t2/(iter)
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write(*,'("Total time : ",es12.5)')t2+tprec
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write(*,'("Residual 2-norm : ",es12.5)')resmx
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write(*,'("Residual inf-norm : ",es12.5)')resmxp
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write(*,'("Total memory occupation for A : ",i12)')amatsize
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write(*,'("Total memory occupation for DESC_A : ",i12)')descsize
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write(*,'("Total memory occupation for PREC : ",i12)')precsize
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end if
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call psb_gefree(b, desc_A,info)
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call psb_gefree(x, desc_A,info)
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call psb_spfree(A, desc_A,info)
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call P%free(info)
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call psb_cdfree(desc_A,info)
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call psb_exit(ctxt)
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stop
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9999 continue
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call psb_error(ctxt)
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contains
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!
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! get parameters from standard input
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!
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subroutine get_parms(ctxt,choice,idim,itmax,tol)
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implicit none
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type(psb_ctxt_type) :: ctxt
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integer :: choice, idim, itmax
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real(psb_spk_) :: tol
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integer :: iam, np, inp_unit
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character(len=1024) :: filename
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call psb_info(ctxt,iam,np)
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if (iam == psb_root_) then
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if (command_argument_count()>0) then
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call get_command_argument(1,filename)
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inp_unit = 30
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open(inp_unit,file=filename,action='read',iostat=info)
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if (info /= 0) then
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write(psb_err_unit,*) 'Could not open file ',filename,' for input'
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call psb_abort(ctxt)
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stop
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else
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write(psb_err_unit,*) 'Opened file ',trim(filename),' for input'
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end if
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else
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inp_unit=psb_inp_unit
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end if
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! read input parameters
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call read_data(choice,inp_unit)
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call read_data(idim,inp_unit)
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call read_data(itmax,inp_unit)
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call read_data(tol,inp_unit)
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if (inp_unit /= psb_inp_unit) then
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close(inp_unit)
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end if
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end if
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call psb_bcast(ctxt,choice)
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call psb_bcast(ctxt,idim)
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call psb_bcast(ctxt,itmax)
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call psb_bcast(ctxt,tol)
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end subroutine get_parms
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end program amg_sexample_ml
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