New test cases

remap-coarse
sfilippone 4 weeks ago
parent b1c4b08d6e
commit f99b563f83

@ -0,0 +1,66 @@
AMGDIR=../../..
AMGINCDIR=$(AMGDIR)/include
include $(AMGINCDIR)/Make.inc.amg4psblas
AMGMODDIR=$(AMGDIR)/modules
AMGLIBDIR=$(AMGDIR)/lib
AMG_LIBS=-L$(AMGLIBDIR) -lpsb_linsolve -lamg_prec -lpsb_prec
FINCLUDES=$(FMFLAG). $(FMFLAG)$(AMGMODDIR) $(FMFLAG)$(AMGINCDIR) $(PSBLAS_INCLUDES) $(FIFLAG).
LINKOPT=
EXEDIR=./runs
DGEN2D=amg_d_pde2d_poisson_mod.o amg_d_pde2d_exp_mod.o \
amg_d_pde2d_gauss_mod.o amg_d_pde2d_box_mod.o
DGEN3D=amg_d_pde3d_poisson_mod.o amg_d_pde3d_exp_mod.o \
amg_d_pde3d_gauss_mod.o amg_d_pde3d_box_mod.o
SGEN2D=amg_s_pde2d_poisson_mod.o amg_s_pde2d_exp_mod.o \
amg_s_pde2d_gauss_mod.o amg_s_pde2d_box_mod.o
SGEN3D=amg_s_pde3d_poisson_mod.o amg_s_pde3d_exp_mod.o \
amg_s_pde3d_gauss_mod.o amg_s_pde3d_box_mod.o
all: amg_s_pde3d amg_d_pde3d amg_s_pde2d amg_d_pde2d
amg_d_pde3d: amg_d_pde3d.o amg_d_genpde_mod.o $(DGEN3D) data_input.o
$(FLINK) $(LINKOPT) amg_d_pde3d.o amg_d_genpde_mod.o $(DGEN3D) data_input.o \
-o amg_d_pde3d $(AMG_LIBS) $(PSBLAS_LIBS) $(AMG_LDLIBS) $(LDLIBS)
/bin/mv amg_d_pde3d $(EXEDIR)
amg_s_pde3d: amg_s_pde3d.o amg_s_genpde_mod.o $(SGEN3D) data_input.o
$(FLINK) $(LINKOPT) amg_s_pde3d.o amg_s_genpde_mod.o $(SGEN3D) data_input.o \
-o amg_s_pde3d $(AMG_LIBS) $(PSBLAS_LIBS) $(LDLIBS)
/bin/mv amg_s_pde3d $(EXEDIR)
amg_d_pde2d: amg_d_pde2d.o amg_d_genpde_mod.o $(DGEN2D) data_input.o
$(FLINK) $(LINKOPT) amg_d_pde2d.o amg_d_genpde_mod.o $(DGEN2D) data_input.o \
-o amg_d_pde2d $(AMG_LIBS) $(PSBLAS_LIBS) $(LDLIBS)
/bin/mv amg_d_pde2d $(EXEDIR)
amg_s_pde2d: amg_s_pde2d.o amg_s_genpde_mod.o $(SGEN2D) data_input.o
$(FLINK) $(LINKOPT) amg_s_pde2d.o amg_s_genpde_mod.o $(SGEN2D) data_input.o \
-o amg_s_pde2d $(AMG_LIBS) $(PSBLAS_LIBS) $(LDLIBS)
/bin/mv amg_s_pde2d $(EXEDIR)
amg_d_pde3d.o amg_s_pde3d.o amg_d_pde2d.o amg_s_pde2d.o: data_input.o
amg_d_pde3d.o: amg_d_genpde_mod.o $(DGEN3D)
amg_s_pde3d.o: amg_s_genpde_mod.o $(SGEN3D)
amg_d_pde2d.o: amg_d_genpde_mod.o $(DGEN2D)
amg_s_pde2d.o: amg_s_genpde_mod.o $(SGEN2D)
amg_d_genpde_mod.o: $(DGEN3D)
amg_s_genpde_mod.o: $(SGEN3D)
amg_d_genpde_mod.o: $(DGEN2D)
amg_s_genpde_mod.o: $(SGEN2D)
check: all
cd runs && ./amg_d_pde2d <amg_pde2d.inp && ./amg_s_pde2d<amg_pde2d.inp
clean:
/bin/rm -f data_input.o *.o *$(.mod)\
$(EXEDIR)/amg_d_pde3d $(EXEDIR)/amg_s_pde3d $(EXEDIR)/amg_d_pde2d $(EXEDIR)/amg_s_pde2d
verycleanlib:
(cd ../..; make veryclean)
lib:
(cd ../../; make library)

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!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! File: amg_d_pde2d.f90
!
! Program: amg_d_pde2d
! This sample program solves a linear system obtained by discretizing a
! PDE with Dirichlet BCs.
!
!
! The PDE is a general second order equation in 2d
!
! a1 dd(u) a2 dd(u) b1 d(u) b2 d(u)
! - ------ - ------ ----- + ------ + c u = f
! dxdx dydy dx dy
!
! with Dirichlet boundary conditions
! u = g
!
! on the unit square 0<=x,y<=1.
!
!
! Note that if b1=b2=c=0., the PDE is the Laplace equation.
!
! There are three choices available for data distribution:
! 1. A simple BLOCK distribution
! 2. A ditribution based on arbitrary assignment of indices to processes,
! typically from a graph partitioner
! 3. A 2D distribution in which the unit square is partitioned
! into rectangles, each one assigned to a process.
!
program amg_d_pde2d
use psb_base_mod
use amg_prec_mod
use psb_linsolve_mod
use psb_util_mod
use data_input
use amg_d_pde2d_poisson_mod
use amg_d_pde2d_exp_mod
use amg_d_pde2d_box_mod
use amg_d_pde2d_gauss_mod
use amg_d_genpde_mod
#if defined(PSB_OPENMP)
use omp_lib
#endif
implicit none
! input parameters
character(len=20) :: kmethd, ptype
character(len=5) :: afmt
character(len=32) :: pdecoeff
integer(psb_ipk_) :: idim
integer(psb_epk_) :: system_size
! miscellaneous
real(psb_dpk_) :: t1, t2, tprec, thier, tslv, tsmth, tpgen
! sparse matrix and preconditioner
type(psb_dspmat_type) :: a
type(amg_dprec_type) :: prec
! descriptor
type(psb_desc_type) :: desc_a
! dense vectors
type(psb_d_vect_type) :: x,b,r
! parallel environment
type(psb_ctxt_type) :: ctxt
integer(psb_ipk_) :: iam, np, nth
! solver parameters
integer(psb_ipk_) :: iter, itmax,itrace, istopc, irst, nlv
integer(psb_epk_) :: amatsize, precsize, descsize, vecsize
real(psb_dpk_) :: err, resmx, resmxp
! Solver data
type solverdata
character(len=40) :: kmethd ! Iterative solver
integer(psb_ipk_) :: istopc ! stopping criterion
integer(psb_ipk_) :: itmax ! maximum number of iterations
integer(psb_ipk_) :: itrace ! tracing
integer(psb_ipk_) :: irst ! restart
real(psb_dpk_) :: eps ! stopping tolerance
end type solverdata
type(solverdata) :: s_choice
! preconditioner data
type precdata
! preconditioner type
character(len=40) :: descr ! verbose description of the prec
character(len=10) :: ptype ! preconditioner type
integer(psb_ipk_) :: outer_sweeps ! number of outer sweeps: sweeps for 1-level,
! AMG cycles for ML
! general AMG data
character(len=32) :: mlcycle ! AMG cycle type
integer(psb_ipk_) :: maxlevs ! maximum number of levels in AMG preconditioner
! AMG aggregation
character(len=32) :: aggr_prol ! aggregation type: SMOOTHED, NONSMOOTHED
character(len=32) :: par_aggr_alg ! parallel aggregation algorithm: DEC, SYMDEC
character(len=32) :: aggr_type ! Type of aggregation SOC1, SOC2, MATCHBOXP
integer(psb_ipk_) :: aggr_size ! Requested size of the aggregates for MATCHBOXP
character(len=32) :: aggr_ord ! ordering for aggregation: NATURAL, DEGREE
character(len=32) :: aggr_filter ! filtering: FILTER, NO_FILTER
real(psb_dpk_) :: mncrratio ! minimum aggregation ratio
real(psb_dpk_), allocatable :: athresv(:) ! smoothed aggregation threshold vector
integer(psb_ipk_) :: thrvsz ! size of threshold vector
real(psb_dpk_) :: athres ! smoothed aggregation threshold
integer(psb_ipk_) :: csizepp ! minimum size of coarsest matrix per process
! AMG smoother or pre-smoother; also 1-lev preconditioner
character(len=32) :: smther ! (pre-)smoother type: BJAC, AS
integer(psb_ipk_) :: jsweeps ! (pre-)smoother / 1-lev prec. sweeps
integer(psb_ipk_) :: degree ! degree for polynomial smoother
character(len=32) :: pvariant ! polynomial variant
character(len=32) :: prhovariant ! how to estimate rho(M^{-1}A)
real(psb_dpk_) :: prhovalue ! if previous is set value, we set it from this one
integer(psb_ipk_) :: novr ! number of overlap layers
character(len=32) :: restr ! restriction over application of AS
character(len=32) :: prol ! prolongation over application of AS
character(len=32) :: solve ! local subsolver type: ILU, MILU, ILUT,
! UMF, MUMPS, SLU, FWGS, BWGS, JAC
integer(psb_ipk_) :: ssweeps ! inner solver sweeps
character(len=32) :: variant ! AINV variant: LLK, etc
integer(psb_ipk_) :: fill ! fill-in for incomplete LU factorization
integer(psb_ipk_) :: invfill ! Inverse fill-in for INVK
real(psb_dpk_) :: thr ! threshold for ILUT factorization
! AMG post-smoother; ignored by 1-lev preconditioner
character(len=32) :: smther2 ! post-smoother type: BJAC, AS
integer(psb_ipk_) :: jsweeps2 ! post-smoother sweeps
integer(psb_ipk_) :: degree2 ! degree for polynomial smoother
character(len=32) :: pvariant2 ! polynomial variant
character(len=32) :: prhovariant2 ! how to estimate rho(M^{-1}A)
real(psb_dpk_) :: prhovalue2 ! if previous is set value, we set it from this one
integer(psb_ipk_) :: novr2 ! number of overlap layers
character(len=32) :: restr2 ! restriction over application of AS
character(len=32) :: prol2 ! prolongation over application of AS
character(len=32) :: solve2 ! local subsolver type: ILU, MILU, ILUT,
! UMF, MUMPS, SLU, FWGS, BWGS, JAC
integer(psb_ipk_) :: ssweeps2 ! inner solver sweeps
character(len=32) :: variant2 ! AINV variant: LLK, etc
integer(psb_ipk_) :: fill2 ! fill-in for incomplete LU factorization
integer(psb_ipk_) :: invfill2 ! Inverse fill-in for INVK
real(psb_dpk_) :: thr2 ! threshold for ILUT factorization
! coarsest-level solver
character(len=32) :: cmat ! coarsest matrix layout: REPL, DIST
character(len=32) :: csolve ! coarsest-lev solver: BJAC, SLUDIST (distr.
! mat.); UMF, MUMPS, SLU, ILU, ILUT, MILU
! (repl. mat.)
character(len=32) :: csbsolve ! coarsest-lev local subsolver: ILU, ILUT,
! MILU, UMF, MUMPS, SLU
integer(psb_ipk_) :: cfill ! fill-in for incomplete LU factorization
real(psb_dpk_) :: cthres ! threshold for ILUT factorization
integer(psb_ipk_) :: cjswp ! sweeps for GS or JAC coarsest-lev subsolver
! settings for the Krylov method
character(len=16) :: krm_method ! Krylov method for coarsest level
character(len=16) :: krm_prec ! Preconditioner for coarsest level
character(len=16) :: krm_subsolve ! Subsolver for coarsest level
character(len=16) :: krm_global ! Is the solver global or local? TRUE or FALSE
real(psb_dpk_) :: krm_eps ! Stopping tolerance
integer(psb_ipk_) :: krm_irst ! Restart for Krylov method
integer(psb_ipk_) :: krm_istop ! Stopping criterion
integer(psb_ipk_) :: krm_itmax ! Maximum number of iterations
integer(psb_ipk_) :: krm_itrace ! Trace of the lower Krylov iterations
integer(psb_ipk_) :: krm_fillin ! Fill-in for incomplete LU factorization
! Dump data
logical :: dump = .false.
integer(psb_ipk_) :: dlmin ! Minimum level to dump
integer(psb_ipk_) :: dlmax ! Maximum level to dump
logical :: dump_ac = .false.
logical :: dump_rp = .false.
logical :: dump_tprol = .false.
logical :: dump_smoother = .false.
logical :: dump_solver = .false.
logical :: dump_global_num = .false.
end type precdata
type(precdata) :: p_choice
! other variables
integer(psb_ipk_) :: info, i, k
character(len=20) :: name,ch_err
info=psb_success_
call psb_init(ctxt)
call psb_info(ctxt,iam,np)
#if defined(PSB_OPENMP)
!$OMP parallel shared(nth)
!$OMP master
nth = omp_get_num_threads()
!$OMP end master
!$OMP end parallel
#else
nth = 1
#endif
if (iam < 0) then
! This should not happen, but just in case
call psb_exit(ctxt)
stop
endif
if(psb_get_errstatus() /= 0) goto 9999
name='amg_d_pde2d'
call psb_set_errverbosity(itwo)
!
! Hello world
!
if (iam == psb_root_) then
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
write(*,*) 'This is the ',trim(name),' sample program'
end if
!
! get parameters
!
call get_parms(ctxt,afmt,idim,s_choice,p_choice,pdecoeff)
!
! allocate and fill in the coefficient matrix, rhs and initial guess
!
call psb_barrier(ctxt)
t1 = psb_wtime()
select case(psb_toupper(trim(pdecoeff)))
case("POISSON")
call amg_gen_pde2d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_poisson,a2_poisson,&
& b1_poisson,b2_poisson,c_poisson,g_poisson,info)
case("EXP")
call amg_gen_pde2d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_exp,a2_exp,&
& b1_exp,b2_exp,c_exp,g_exp,info)
case("BOX")
call amg_gen_pde2d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_box,a2_box,&
& b1_box,b2_box,c_box,g_box,info)
case("GAUSS")
call amg_gen_pde2d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_gauss,a2_gauss,&
& b1_gauss,b2_gauss,c_gauss,g_gauss,info)
case default
info=psb_err_from_subroutine_
ch_err='amg_gen_pdecoeff'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end select
call psb_barrier(ctxt)
tpgen = psb_wtime() - t1
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='amg_gen_pde2d'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
if (iam == psb_root_) &
& write(psb_out_unit,'("PDE Coefficients : ",a)')pdecoeff
if (iam == psb_root_) &
& write(psb_out_unit,'("Overall matrix creation time : ",es12.5)')tpgen
if (iam == psb_root_) &
& write(psb_out_unit,'(" ")')
!
! initialize the preconditioner
!
call prec%init(ctxt,p_choice%ptype,info)
select case(trim(psb_toupper(p_choice%ptype)))
case ('NONE','NOPREC')
! Do nothing, keep defaults
case ('JACOBI','L1-JACOBI','GS','FWGS','FBGS')
! 1-level sweeps from "outer_sweeps"
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
case ('BJAC','POLY')
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
call prec%set('sub_solve', p_choice%solve, info)
call prec%set('solver_sweeps', p_choice%ssweeps, info)
call prec%set('poly_degree', p_choice%degree, info)
call prec%set('poly_variant', p_choice%pvariant, info)
if (psb_toupper(p_choice%solve)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('sub_iluthrs', p_choice%thr, info)
case('AS')
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
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('solver_sweeps', p_choice%ssweeps, info)
if (psb_toupper(p_choice%solve)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('sub_iluthrs', p_choice%thr, info)
case ('ML')
! multilevel preconditioner
call prec%set('ml_cycle', p_choice%mlcycle, info)
call prec%set('outer_sweeps', p_choice%outer_sweeps,info)
if (p_choice%csizepp>0)&
& call prec%set('min_coarse_size_per_process', p_choice%csizepp, info)
if (p_choice%mncrratio>1)&
& call prec%set('min_cr_ratio', p_choice%mncrratio, info)
if (p_choice%maxlevs>0)&
& call prec%set('max_levs', p_choice%maxlevs, info)
if (p_choice%athres >= dzero) &
& call prec%set('aggr_thresh', p_choice%athres, info)
if (p_choice%thrvsz>0) then
do k=1,min(p_choice%thrvsz,size(prec%precv)-1)
call prec%set('aggr_thresh', p_choice%athresv(k), info,ilev=(k+1))
end do
end if
call prec%set('aggr_prol', p_choice%aggr_prol, info)
call prec%set('par_aggr_alg', p_choice%par_aggr_alg, info)
call prec%set('aggr_type', p_choice%aggr_type, info)
call prec%set('aggr_size', p_choice%aggr_size, info)
call prec%set('aggr_ord', p_choice%aggr_ord, info)
call prec%set('aggr_filter', p_choice%aggr_filter,info)
call prec%set('smoother_type', p_choice%smther, info)
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
call prec%set('poly_degree', p_choice%degree, info)
call prec%set('poly_variant', p_choice%pvariant, info)
if (p_choice%prhovalue > dzero ) then
call prec%set('poly_rho_ba', p_choice%prhovalue, info)
else
call prec%set('poly_rho_estimate', p_choice%prhovariant, info)
end if
select case (psb_toupper(p_choice%smther))
case ('GS','BWGS','FBGS','JACOBI','L1-JACOBI','L1-FBGS')
! 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)
select case(trim(psb_toupper(p_choice%solve)))
case('INVK')
call prec%set('sub_solve', p_choice%solve, info)
case('INVT')
call prec%set('sub_solve', p_choice%solve, info)
case('AINV')
call prec%set('sub_solve', p_choice%solve, info)
call prec%set('ainv_alg', p_choice%variant, info)
case default
call prec%set('sub_solve', p_choice%solve, info)
if (psb_toupper(p_choice%solve)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
end select
call prec%set('solver_sweeps', p_choice%ssweeps, info)
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('inv_fillin', p_choice%invfill, 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')
call prec%set('poly_degree', p_choice%degree2, info,pos='post')
call prec%set('poly_variant', p_choice%pvariant2, info,pos='post')
if (p_choice%prhovalue > dzero ) then
call prec%set('poly_rho_ba', p_choice%prhovalue2, info,pos='post')
else
call prec%set('poly_rho_estimate', p_choice%prhovariant2, info,pos='post')
end if
select case (psb_toupper(p_choice%smther2))
case ('GS','BWGS','FBGS','JACOBI','L1-JACOBI','L1-FBGS')
! 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')
select case(trim(psb_toupper(p_choice%solve2)))
case('INVK')
call prec%set('sub_solve', p_choice%solve2, info)
case('INVT')
call prec%set('sub_solve', p_choice%solve2, info)
case('AINV')
call prec%set('sub_solve', p_choice%solve2, info)
call prec%set('ainv_alg', p_choice%variant2, info)
case default
call prec%set('sub_solve', p_choice%solve2, info, pos='post')
if (psb_toupper(p_choice%solve2)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
end select
call prec%set('solver_sweeps', p_choice%ssweeps2, info,pos='post')
call prec%set('sub_fillin', p_choice%fill2, info,pos='post')
call prec%set('inv_fillin', p_choice%invfill2, 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)
call prec%set('coarse_mat', p_choice%cmat, info)
! Set for the case of a KRM solver
if (psb_toupper(p_choice%csolve) == 'KRM') then
call prec%set('krm_method', p_choice%krm_method, info)
call prec%set('krm_kprec', p_choice%krm_prec, info)
call prec%set('krm_sub_solve', p_choice%krm_subsolve, info)
call prec%set('krm_global', p_choice%krm_global, info)
call prec%set('krm_eps', p_choice%krm_eps, info)
call prec%set('krm_irst', p_choice%krm_irst, info)
call prec%set('krm_istopc', p_choice%krm_istop, info)
call prec%set('krm_itmax', p_choice%krm_itmax, info)
call prec%set('krm_itrace', p_choice%krm_itrace, info)
call prec%set('krm_fillin', p_choice%krm_fillin, info)
else
if (psb_toupper(p_choice%csolve) == 'BJAC') &
& call prec%set('coarse_subsolve', p_choice%csbsolve, 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 if
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)
tsmth = 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
if (p_choice%dump) then
call prec%dump(info,istart=p_choice%dlmin,iend=p_choice%dlmax,&
& ac=p_choice%dump_ac,rp=p_choice%dump_rp,tprol=p_choice%dump_tprol,&
& smoother=p_choice%dump_smoother, solver=p_choice%dump_solver, &
& global_num=p_choice%dump_global_num)
end if
!
! iterative method parameters
!
call psb_barrier(ctxt)
t1 = psb_wtime()
select case(psb_toupper(trim(s_choice%kmethd)))
case('RICHARDSON')
call psb_richardson(a,prec,b,x,s_choice%eps,&
& desc_a,info,itmax=s_choice%itmax,iter=iter,&
& err=err,itrace=s_choice%itrace,&
& istop=s_choice%istopc)
case('BICGSTAB','BICGSTABL','BICG','CG','CGS','FCG','GCR','RGMRES')
call psb_krylov(s_choice%kmethd,a,prec,b,x,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)
case default
write(psb_err_unit,*) 'Unknown method :"',trim(s_choice%kmethd),'"'
info=psb_err_invalid_input_
call psb_errpush(info,name)
goto 9999
end select
call psb_barrier(ctxt)
tslv = psb_wtime() - t1
call psb_amx(ctxt,tslv)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='solver routine'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_barrier(ctxt)
tslv = psb_wtime() - t1
call psb_amx(ctxt,tslv)
! compute residual norms
call psb_geall(r,desc_a,info)
call r%zero()
call psb_geasb(r,desc_a,info)
call psb_geaxpby(done,b,dzero,r,desc_a,info)
call psb_spmm(-done,a,x,done,r,desc_a,info)
resmx = psb_genrm2(r,desc_a,info)
resmxp = psb_geamax(r,desc_a,info)
vecsize = x%sizeof()
amatsize = a%sizeof()
descsize = desc_a%sizeof()
precsize = prec%sizeof()
system_size = desc_a%get_global_rows()
call psb_sum(ctxt,vecsize)
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,'("Computed solution on ",i8," process(es)")') np
write(psb_out_unit,'("Number of threads : ",i12)') nth
write(psb_out_unit,'("Total number of tasks : ",i12)') nth*np
write(psb_out_unit,'("Discretization domain size : ",i12)') idim
write(psb_out_unit,'("Linear system size : ",i12)') system_size
write(psb_out_unit,'("PDE Coefficients : ",a)') trim(pdecoeff)
write(psb_out_unit,'("Problem setup time : ",es12.5)') tpgen
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)') tsmth
write(psb_out_unit,'("Total preconditioner setup time : ",es12.5)') tsmth+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 X : ",i16)') vecsize
write(psb_out_unit,'("Total memory occupation for A : ",i16)') amatsize
write(psb_out_unit,'("Total memory occupation for DESC_A : ",i16)') descsize
write(psb_out_unit,'("Total memory occupation for PREC : ",i16)') precsize
write(psb_out_unit,'("Total memory occupation : ",i16)') &
& amatsize + descsize+precsize+2*vecsize
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()
end if
!
! cleanup storage and exit
!
call psb_gefree(b,desc_a,info)
call psb_gefree(x,desc_a,info)
call psb_spfree(a,desc_a,info)
call prec%free(info)
call psb_cdfree(desc_a,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='free routine'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_exit(ctxt)
stop
9999 continue
call psb_error(ctxt)
contains
!
! get iteration parameters from standard input
!
!
! get iteration parameters from standard input
!
subroutine get_parms(ctxt,afmt,idim,solve,prec,pdecoeff)
implicit none
type(psb_ctxt_type) :: ctxt
integer(psb_ipk_) :: idim
character(len=*) :: afmt
type(solverdata) :: solve
type(precdata) :: prec
character(len=*) :: pdecoeff
integer(psb_ipk_) :: iam, nm, np, inp_unit
character(len=1024) :: filename
call psb_info(ctxt,iam,np)
if (iam == psb_root_) then
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
write(psb_err_unit,*) 'Usage: amg_d_pde2d ctrl-file '
call psb_abort(ctxt)
stop
end if
! read input data
!
call read_data(afmt,inp_unit) ! matrix storage format
call read_data(idim,inp_unit) ! Discretization grid size
call read_data(pdecoeff,inp_unit) ! PDE Coefficients
! 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%degree,inp_unit) ! (pre-)smoother / 1-lev prec sweeps
call read_data(prec%pvariant,inp_unit) !
call read_data(prec%prhovariant,inp_unit)! how to estimate rho(M^{-1}A)
call read_data(prec%prhovalue,inp_unit) ! if previous is set value, we set it from this one
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%ssweeps,inp_unit) ! inner solver sweeps
call read_data(prec%variant,inp_unit) ! AINV variant
call read_data(prec%fill,inp_unit) ! fill-in for incomplete LU
call read_data(prec%invfill,inp_unit) !Inverse fill-in for INVK
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%degree2,inp_unit) ! (post-)smoother sweeps
call read_data(prec%pvariant2,inp_unit) !
call read_data(prec%prhovariant2,inp_unit)! how to estimate rho(M^{-1}A)
call read_data(prec%prhovalue2,inp_unit) ! if previous is set value, we set it from this one
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%ssweeps2,inp_unit) ! inner solver sweeps
call read_data(prec%variant2,inp_unit) ! AINV variant
call read_data(prec%fill2,inp_unit) ! fill-in for incomplete LU
call read_data(prec%invfill2,inp_unit) !Inverse fill-in for INVK
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%csizepp,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_type,inp_unit) ! type of aggregation
call read_data(prec%aggr_size,inp_unit) ! Requested size of the aggregates for MATCHBOXP
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
! Krylov method for coarsest level
call read_data(prec%krm_method,inp_unit) ! Krylov method for coarsest level
call read_data(prec%krm_prec,inp_unit) ! Preconditioner for coarsest level
call read_data(prec%krm_subsolve,inp_unit) ! Subsolver for coarsest level
call read_data(prec%krm_global,inp_unit) ! Is the solver global or local? TRUE or FALSE
call read_data(prec%krm_eps,inp_unit) ! Stopping tolerance
call read_data(prec%krm_irst,inp_unit) ! Restart for Krylov method
call read_data(prec%krm_istop,inp_unit) ! Stopping criterion
call read_data(prec%krm_itmax,inp_unit) ! Maximum number of iterations
call read_data(prec%krm_itrace,inp_unit) ! Trace of the lower Krylov iterations
call read_data(prec%krm_fillin,inp_unit) ! Fill-in for incomplete LU factorization
! dump
call read_data(prec%dump,inp_unit) ! Dump on file?
call read_data(prec%dlmin,inp_unit) ! Minimum level to dump
call read_data(prec%dlmax,inp_unit) ! Maximum level to dump
call read_data(prec%dump_ac,inp_unit)
call read_data(prec%dump_rp,inp_unit)
call read_data(prec%dump_tprol,inp_unit)
call read_data(prec%dump_smoother,inp_unit)
call read_data(prec%dump_solver,inp_unit)
call read_data(prec%dump_global_num,inp_unit)
if (inp_unit /= psb_inp_unit) then
close(inp_unit)
end if
end if
call psb_bcast(ctxt,afmt)
call psb_bcast(ctxt,idim)
call psb_bcast(ctxt,pdecoeff)
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%degree)
call psb_bcast(ctxt,prec%pvariant)
call psb_bcast(ctxt,prec%prhovariant)
call psb_bcast(ctxt,prec%prhovalue)
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%ssweeps)
call psb_bcast(ctxt,prec%variant)
call psb_bcast(ctxt,prec%fill)
call psb_bcast(ctxt,prec%invfill)
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%degree2)
call psb_bcast(ctxt,prec%pvariant2)
call psb_bcast(ctxt,prec%prhovariant2)
call psb_bcast(ctxt,prec%prhovalue2)
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%ssweeps2)
call psb_bcast(ctxt,prec%variant2)
call psb_bcast(ctxt,prec%fill2)
call psb_bcast(ctxt,prec%invfill2)
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%csizepp)
call psb_bcast(ctxt,prec%aggr_prol)
call psb_bcast(ctxt,prec%par_aggr_alg)
call psb_bcast(ctxt,prec%aggr_type)
call psb_bcast(ctxt,prec%aggr_size)
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%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)
! Krylov method for coarsest level (broadcast)
call psb_bcast(ctxt,prec%krm_method)
call psb_bcast(ctxt,prec%krm_prec)
call psb_bcast(ctxt,prec%krm_subsolve)
call psb_bcast(ctxt,prec%krm_global)
call psb_bcast(ctxt,prec%krm_eps)
call psb_bcast(ctxt,prec%krm_irst)
call psb_bcast(ctxt,prec%krm_istop)
call psb_bcast(ctxt,prec%krm_itmax)
call psb_bcast(ctxt,prec%krm_itrace)
call psb_bcast(ctxt,prec%krm_fillin)
! dump
call psb_bcast(ctxt,prec%dump)
call psb_bcast(ctxt,prec%dlmin)
call psb_bcast(ctxt,prec%dlmax)
call psb_bcast(ctxt,prec%dump_ac)
call psb_bcast(ctxt,prec%dump_rp)
call psb_bcast(ctxt,prec%dump_tprol)
call psb_bcast(ctxt,prec%dump_smoother)
call psb_bcast(ctxt,prec%dump_solver)
call psb_bcast(ctxt,prec%dump_global_num)
end subroutine get_parms
end program amg_d_pde2d

@ -0,0 +1,89 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_d_pde2d_box_mod
use psb_base_mod, only : psb_dpk_, dzero, done
real(psb_dpk_), save, private :: epsilon=done/80
contains
subroutine pde_set_parm2d_box(dat)
real(psb_dpk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm2d_box
!
! functions parametrizing the differential equation
!
function b1_box(x,y)
implicit none
real(psb_dpk_) :: b1_box
real(psb_dpk_), intent(in) :: x,y
b1_box = done/1.414_psb_dpk_
end function b1_box
function b2_box(x,y)
implicit none
real(psb_dpk_) :: b2_box
real(psb_dpk_), intent(in) :: x,y
b2_box = done/1.414_psb_dpk_
end function b2_box
function c_box(x,y)
implicit none
real(psb_dpk_) :: c_box
real(psb_dpk_), intent(in) :: x,y
c_box = dzero
end function c_box
function a1_box(x,y)
implicit none
real(psb_dpk_) :: a1_box
real(psb_dpk_), intent(in) :: x,y
a1_box=done*epsilon
end function a1_box
function a2_box(x,y)
implicit none
real(psb_dpk_) :: a2_box
real(psb_dpk_), intent(in) :: x,y
a2_box=done*epsilon
end function a2_box
function g_box(x,y)
implicit none
real(psb_dpk_) :: g_box
real(psb_dpk_), intent(in) :: x,y
g_box = dzero
if (x == done) then
g_box = done
else if (x == dzero) then
g_box = done
end if
end function g_box
end module amg_d_pde2d_box_mod

@ -0,0 +1,89 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_d_pde2d_exp_mod
use psb_base_mod, only : psb_dpk_, done, dzero
real(psb_dpk_), save, private :: epsilon=done/80
contains
subroutine pde_set_parm2d_exp(dat)
real(psb_dpk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm2d_exp
!
! functions parametrizing the differential equation
!
function b1_exp(x,y)
implicit none
real(psb_dpk_) :: b1_exp
real(psb_dpk_), intent(in) :: x,y
b1_exp = dzero
end function b1_exp
function b2_exp(x,y)
implicit none
real(psb_dpk_) :: b2_exp
real(psb_dpk_), intent(in) :: x,y
b2_exp = dzero
end function b2_exp
function c_exp(x,y)
implicit none
real(psb_dpk_) :: c_exp
real(psb_dpk_), intent(in) :: x,y
c_exp = dzero
end function c_exp
function a1_exp(x,y)
implicit none
real(psb_dpk_) :: a1_exp
real(psb_dpk_), intent(in) :: x,y
a1_exp=done*epsilon*exp(-(x+y))
end function a1_exp
function a2_exp(x,y)
implicit none
real(psb_dpk_) :: a2_exp
real(psb_dpk_), intent(in) :: x,y
a2_exp=done*epsilon*exp(-(x+y))
end function a2_exp
function g_exp(x,y)
implicit none
real(psb_dpk_) :: g_exp
real(psb_dpk_), intent(in) :: x,y
g_exp = dzero
if (x == done) then
g_exp = done
else if (x == dzero) then
g_exp = done
end if
end function g_exp
end module amg_d_pde2d_exp_mod

@ -0,0 +1,89 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_d_pde2d_gauss_mod
use psb_base_mod, only : psb_dpk_, done, dzero
real(psb_dpk_), save, private :: epsilon=done/80
contains
subroutine pde_set_parm2d_gauss(dat)
real(psb_dpk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm2d_gauss
!
! functions parametrizing the differential equation
!
function b1_gauss(x,y)
implicit none
real(psb_dpk_) :: b1_gauss
real(psb_dpk_), intent(in) :: x,y
b1_gauss=done/sqrt(3.0_psb_dpk_)-2*x*exp(-(x**2+y**2))
end function b1_gauss
function b2_gauss(x,y)
implicit none
real(psb_dpk_) :: b2_gauss
real(psb_dpk_), intent(in) :: x,y
b2_gauss=done/sqrt(3.0_psb_dpk_)-2*y*exp(-(x**2+y**2))
end function b2_gauss
function c_gauss(x,y)
implicit none
real(psb_dpk_) :: c_gauss
real(psb_dpk_), intent(in) :: x,y
c_gauss=dzero
end function c_gauss
function a1_gauss(x,y)
implicit none
real(psb_dpk_) :: a1_gauss
real(psb_dpk_), intent(in) :: x,y
a1_gauss=epsilon*exp(-(x**2+y**2))
end function a1_gauss
function a2_gauss(x,y)
implicit none
real(psb_dpk_) :: a2_gauss
real(psb_dpk_), intent(in) :: x,y
a2_gauss=epsilon*exp(-(x**2+y**2))
end function a2_gauss
function g_gauss(x,y)
implicit none
real(psb_dpk_) :: g_gauss
real(psb_dpk_), intent(in) :: x,y
g_gauss = dzero
if (x == done) then
g_gauss = done
else if (x == dzero) then
g_gauss = done
end if
end function g_gauss
end module amg_d_pde2d_gauss_mod

@ -0,0 +1,89 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_d_pde2d_poisson_mod
use psb_base_mod, only : psb_dpk_, dzero, done
real(psb_dpk_), save, private :: epsilon=done/80
contains
subroutine pde_set_parm2d_poisson(dat)
real(psb_dpk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm2d_poisson
!
! functions parametrizing the differential equation
!
function b1_poisson(x,y)
implicit none
real(psb_dpk_) :: b1_poisson
real(psb_dpk_), intent(in) :: x,y
b1_poisson = dzero
end function b1_poisson
function b2_poisson(x,y)
implicit none
real(psb_dpk_) :: b2_poisson
real(psb_dpk_), intent(in) :: x,y
b2_poisson = dzero
end function b2_poisson
function c_poisson(x,y)
implicit none
real(psb_dpk_) :: c_poisson
real(psb_dpk_), intent(in) :: x,y
c_poisson = dzero
end function c_poisson
function a1_poisson(x,y)
implicit none
real(psb_dpk_) :: a1_poisson
real(psb_dpk_), intent(in) :: x,y
a1_poisson=done*epsilon
end function a1_poisson
function a2_poisson(x,y)
implicit none
real(psb_dpk_) :: a2_poisson
real(psb_dpk_), intent(in) :: x,y
a2_poisson=done*epsilon
end function a2_poisson
function g_poisson(x,y)
implicit none
real(psb_dpk_) :: g_poisson
real(psb_dpk_), intent(in) :: x,y
g_poisson = dzero
if (x == done) then
g_poisson = done
else if (x == dzero) then
g_poisson = done
end if
end function g_poisson
end module amg_d_pde2d_poisson_mod

@ -0,0 +1,852 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
! File: amg_d_pde3d.f90
!
! Program: amg_d_pde3d
! This sample program solves a linear system obtained by discretizing a
! PDE with Dirichlet BCs.
!
!
! The PDE is a general second order equation in 3d
!
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
! dxdx dydy dzdz dx dy dz
!
! with Dirichlet boundary conditions
! u = g
!
! on the unit cube 0<=x,y,z<=1.
!
!
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
!
! There are three choices available for data distribution:
! 1. A simple BLOCK distribution
! 2. A ditribution based on arbitrary assignment of indices to processes,
! typically from a graph partitioner
! 3. A 3D distribution in which the unit cube is partitioned
! into subcubes, each one assigned to a process.
!
program amg_d_pde3d
use psb_base_mod
use amg_prec_mod
use psb_linsolve_mod
use psb_util_mod
use data_input
use amg_d_pde3d_poisson_mod
use amg_d_pde3d_exp_mod
use amg_d_pde3d_box_mod
use amg_d_pde3d_gauss_mod
use amg_d_genpde_mod
#if defined(PSB_OPENMP)
use omp_lib
#endif
implicit none
! input parameters
character(len=20) :: kmethd, ptype
character(len=5) :: afmt
character(len=32) :: pdecoeff
integer(psb_ipk_) :: idim
integer(psb_epk_) :: system_size
! miscellaneous
real(psb_dpk_) :: t1, t2, tprec, thier, tslv, tsmth, tpgen
! sparse matrix and preconditioner
type(psb_dspmat_type) :: a
type(amg_dprec_type) :: prec
! descriptor
type(psb_desc_type) :: desc_a
! dense vectors
type(psb_d_vect_type) :: x,b,r
! parallel environment
type(psb_ctxt_type) :: ctxt
integer(psb_ipk_) :: iam, np, nth
! solver parameters
integer(psb_ipk_) :: iter, itmax,itrace, istopc, irst, nlv
integer(psb_epk_) :: amatsize, precsize, descsize, vecsize
real(psb_dpk_) :: err, resmx, resmxp
! Solver data
type solverdata
character(len=40) :: kmethd ! Iterative solver
integer(psb_ipk_) :: istopc ! stopping criterion
integer(psb_ipk_) :: itmax ! maximum number of iterations
integer(psb_ipk_) :: itrace ! tracing
integer(psb_ipk_) :: irst ! restart
real(psb_dpk_) :: eps ! stopping tolerance
end type solverdata
type(solverdata) :: s_choice
! preconditioner data
type precdata
! preconditioner type
character(len=40) :: descr ! verbose description of the prec
character(len=10) :: ptype ! preconditioner type
integer(psb_ipk_) :: outer_sweeps ! number of outer sweeps: sweeps for 1-level,
! AMG cycles for ML
! general AMG data
character(len=32) :: mlcycle ! AMG cycle type
integer(psb_ipk_) :: maxlevs ! maximum number of levels in AMG preconditioner
! AMG aggregation
character(len=32) :: aggr_prol ! aggregation type: SMOOTHED, NONSMOOTHED
character(len=32) :: par_aggr_alg ! parallel aggregation algorithm: DEC, SYMDEC
character(len=32) :: aggr_type ! Type of aggregation SOC1, SOC2, MATCHBOXP
integer(psb_ipk_) :: aggr_size ! Requested size of the aggregates for MATCHBOXP
character(len=32) :: aggr_ord ! ordering for aggregation: NATURAL, DEGREE
character(len=32) :: aggr_filter ! filtering: FILTER, NO_FILTER
real(psb_dpk_) :: mncrratio ! minimum aggregation ratio
real(psb_dpk_), allocatable :: athresv(:) ! smoothed aggregation threshold vector
integer(psb_ipk_) :: thrvsz ! size of threshold vector
real(psb_dpk_) :: athres ! smoothed aggregation threshold
integer(psb_ipk_) :: csizepp ! minimum size of coarsest matrix per process
logical :: remap = .false. ! do_remap
! AMG smoother or pre-smoother; also 1-lev preconditioner
character(len=32) :: smther ! (pre-)smoother type: BJAC, AS
integer(psb_ipk_) :: jsweeps ! (pre-)smoother / 1-lev prec. sweeps
integer(psb_ipk_) :: degree ! degree for polynomial smoother
character(len=32) :: pvariant ! polynomial variant
character(len=32) :: prhovariant ! how to estimate rho(M^{-1}A)
real(psb_dpk_) :: prhovalue ! if previous is set value, we set it from this one
integer(psb_ipk_) :: novr ! number of overlap layers
character(len=32) :: restr ! restriction over application of AS
character(len=32) :: prol ! prolongation over application of AS
character(len=32) :: solve ! local subsolver type: ILU, MILU, ILUT,
! UMF, MUMPS, SLU, FWGS, BWGS, JAC
integer(psb_ipk_) :: ssweeps ! inner solver sweeps
character(len=32) :: variant ! AINV variant: LLK, etc
integer(psb_ipk_) :: fill ! fill-in for incomplete LU factorization
integer(psb_ipk_) :: invfill ! Inverse fill-in for INVK
real(psb_dpk_) :: thr ! threshold for ILUT factorization
! AMG post-smoother; ignored by 1-lev preconditioner
character(len=32) :: smther2 ! post-smoother type: BJAC, AS
integer(psb_ipk_) :: jsweeps2 ! post-smoother sweeps
integer(psb_ipk_) :: degree2 ! degree for polynomial smoother
character(len=32) :: pvariant2 ! polynomial variant
character(len=32) :: prhovariant2 ! how to estimate rho(M^{-1}A)
real(psb_dpk_) :: prhovalue2 ! if previous is set value, we set it from this one
integer(psb_ipk_) :: novr2 ! number of overlap layers
character(len=32) :: restr2 ! restriction over application of AS
character(len=32) :: prol2 ! prolongation over application of AS
character(len=32) :: solve2 ! local subsolver type: ILU, MILU, ILUT,
! UMF, MUMPS, SLU, FWGS, BWGS, JAC
integer(psb_ipk_) :: ssweeps2 ! inner solver sweeps
character(len=32) :: variant2 ! AINV variant: LLK, etc
integer(psb_ipk_) :: fill2 ! fill-in for incomplete LU factorization
integer(psb_ipk_) :: invfill2 ! Inverse fill-in for INVK
real(psb_dpk_) :: thr2 ! threshold for ILUT factorization
! coarsest-level solver
character(len=32) :: cmat ! coarsest matrix layout: REPL, DIST
character(len=32) :: csolve ! coarsest-lev solver: BJAC, SLUDIST (distr.
! mat.); UMF, MUMPS, SLU, ILU, ILUT, MILU
! (repl. mat.)
character(len=32) :: csbsolve ! coarsest-lev local subsolver: ILU, ILUT,
! MILU, UMF, MUMPS, SLU
integer(psb_ipk_) :: cfill ! fill-in for incomplete LU factorization
real(psb_dpk_) :: cthres ! threshold for ILUT factorization
integer(psb_ipk_) :: cjswp ! sweeps for GS or JAC coarsest-lev subsolver
! settings for the Krylov method
character(len=16) :: krm_method ! Krylov method for coarsest level
character(len=16) :: krm_prec ! Preconditioner for coarsest level
character(len=16) :: krm_subsolve ! Subsolver for coarsest level
character(len=16) :: krm_global ! Is the solver global or local? TRUE or FALSE
real(psb_dpk_) :: krm_eps ! Stopping tolerance
integer(psb_ipk_) :: krm_irst ! Restart for Krylov method
integer(psb_ipk_) :: krm_istop ! Stopping criterion
integer(psb_ipk_) :: krm_itmax ! Maximum number of iterations
integer(psb_ipk_) :: krm_itrace ! Trace of the lower Krylov iterations
integer(psb_ipk_) :: krm_fillin ! Fill-in for incomplete LU factorization
! Dump data
logical :: dump = .false.
integer(psb_ipk_) :: dlmin ! Minimum level to dump
integer(psb_ipk_) :: dlmax ! Maximum level to dump
logical :: dump_ac = .false.
logical :: dump_rp = .false.
logical :: dump_tprol = .false.
logical :: dump_smoother = .false.
logical :: dump_solver = .false.
logical :: dump_global_num = .false.
end type precdata
type(precdata) :: p_choice
! other variables
integer(psb_ipk_) :: info, i, k
character(len=20) :: name,ch_err
info=psb_success_
call psb_init(ctxt)
call psb_info(ctxt,iam,np)
#if defined(PSB_OPENMP)
!$OMP parallel shared(nth)
!$OMP master
nth = omp_get_num_threads()
!$OMP end master
!$OMP end parallel
#else
nth = 1
#endif
if (iam < 0) then
! This should not happen, but just in case
call psb_exit(ctxt)
stop
endif
if(psb_get_errstatus() /= 0) goto 9999
name='amg_d_pde3d'
call psb_set_errverbosity(itwo)
!
! Hello world
!
if (iam == psb_root_) then
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
write(*,*) 'This is the ',trim(name),' sample program'
end if
!
! get parameters
!
call get_parms(ctxt,afmt,idim,s_choice,p_choice,pdecoeff)
!
! allocate and fill in the coefficient matrix, rhs and initial guess
!
call psb_barrier(ctxt)
t1 = psb_wtime()
select case(psb_toupper(trim(pdecoeff)))
case("POISSON")
call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_poisson,a2_poisson,a3_poisson,&
& b1_poisson,b2_poisson,b3_poisson,c_poisson,g_poisson,info)
case("EXP")
call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_exp,a2_exp,a3_exp,&
& b1_exp,b2_exp,b3_exp,c_exp,g_exp,info)
case("BOX")
call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_box,a2_box,a3_box,&
& b1_box,b2_box,b3_box,c_box,g_box,info)
case("GAUSS")
call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_gauss,a2_gauss,a3_gauss,&
& b1_gauss,b2_gauss,b3_gauss,c_gauss,g_gauss,info)
case default
info=psb_err_from_subroutine_
ch_err='amg_gen_pdecoeff'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end select
call psb_barrier(ctxt)
tpgen = psb_wtime() - t1
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='amg_gen_pde3d'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
if (iam == psb_root_) &
& write(psb_out_unit,'("PDE Coefficients : ",a)')pdecoeff
if (iam == psb_root_) &
& write(psb_out_unit,'("Overall matrix creation time : ",es12.5)')tpgen
if (iam == psb_root_) &
& write(psb_out_unit,'(" ")')
!
! initialize the preconditioner
!
call prec%init(ctxt,p_choice%ptype,info)
select case(trim(psb_toupper(p_choice%ptype)))
case ('NONE','NOPREC')
! Do nothing, keep defaults
case ('JACOBI','L1-JACOBI','GS','FWGS','FBGS')
! 1-level sweeps from "outer_sweeps"
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
case ('BJAC','POLY')
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
call prec%set('sub_solve', p_choice%solve, info)
call prec%set('solver_sweeps', p_choice%ssweeps, info)
call prec%set('poly_degree', p_choice%degree, info)
call prec%set('poly_variant', p_choice%pvariant, info)
if (psb_toupper(p_choice%solve)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('sub_iluthrs', p_choice%thr, info)
case('AS')
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
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('solver_sweeps', p_choice%ssweeps, info)
if (psb_toupper(p_choice%solve)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('sub_iluthrs', p_choice%thr, info)
case ('ML')
! multilevel preconditioner
call prec%set('ml_cycle', p_choice%mlcycle, info)
call prec%set('outer_sweeps', p_choice%outer_sweeps,info)
if (p_choice%csizepp>0)&
& call prec%set('min_coarse_size_per_process', p_choice%csizepp, info)
call amg_set_do_remap(p_choice%remap)
if (p_choice%mncrratio>1)&
& call prec%set('min_cr_ratio', p_choice%mncrratio, info)
if (p_choice%maxlevs>0)&
& call prec%set('max_levs', p_choice%maxlevs, info)
if (p_choice%athres >= dzero) &
& call prec%set('aggr_thresh', p_choice%athres, info)
if (p_choice%thrvsz>0) then
do k=1,min(p_choice%thrvsz,size(prec%precv)-1)
call prec%set('aggr_thresh', p_choice%athresv(k), info,ilev=(k+1))
end do
end if
call prec%set('aggr_prol', p_choice%aggr_prol, info)
call prec%set('par_aggr_alg', p_choice%par_aggr_alg, info)
call prec%set('aggr_type', p_choice%aggr_type, info)
call prec%set('aggr_size', p_choice%aggr_size, info)
call prec%set('aggr_ord', p_choice%aggr_ord, info)
call prec%set('aggr_filter', p_choice%aggr_filter,info)
call prec%set('smoother_type', p_choice%smther, info)
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
call prec%set('poly_degree', p_choice%degree, info)
call prec%set('poly_variant', p_choice%pvariant, info)
if (p_choice%prhovalue > dzero ) then
call prec%set('poly_rho_ba', p_choice%prhovalue, info)
else
call prec%set('poly_rho_estimate', p_choice%prhovariant, info)
end if
select case (psb_toupper(p_choice%smther))
case ('GS','BWGS','FBGS','JACOBI','L1-JACOBI','L1-FBGS')
! 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)
select case(trim(psb_toupper(p_choice%solve)))
case('INVK')
call prec%set('sub_solve', p_choice%solve, info)
case('INVT')
call prec%set('sub_solve', p_choice%solve, info)
case('AINV')
call prec%set('sub_solve', p_choice%solve, info)
call prec%set('ainv_alg', p_choice%variant, info)
case default
call prec%set('sub_solve', p_choice%solve, info)
if (psb_toupper(p_choice%solve)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
end select
call prec%set('solver_sweeps', p_choice%ssweeps, info)
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('inv_fillin', p_choice%invfill, 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')
call prec%set('poly_degree', p_choice%degree2, info,pos='post')
call prec%set('poly_variant', p_choice%pvariant2, info,pos='post')
if (p_choice%prhovalue > dzero ) then
call prec%set('poly_rho_ba', p_choice%prhovalue2, info,pos='post')
else
call prec%set('poly_rho_estimate', p_choice%prhovariant2, info,pos='post')
end if
select case (psb_toupper(p_choice%smther2))
case ('GS','BWGS','FBGS','JACOBI','L1-JACOBI','L1-FBGS')
! 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')
select case(trim(psb_toupper(p_choice%solve2)))
case('INVK')
call prec%set('sub_solve', p_choice%solve2, info)
case('INVT')
call prec%set('sub_solve', p_choice%solve2, info)
case('AINV')
call prec%set('sub_solve', p_choice%solve2, info)
call prec%set('ainv_alg', p_choice%variant2, info)
case default
call prec%set('sub_solve', p_choice%solve2, info, pos='post')
if (psb_toupper(p_choice%solve2)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
end select
call prec%set('solver_sweeps', p_choice%ssweeps2, info,pos='post')
call prec%set('sub_fillin', p_choice%fill2, info,pos='post')
call prec%set('inv_fillin', p_choice%invfill2, 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)
call prec%set('coarse_mat', p_choice%cmat, info)
! Set for the case of a KRM solver
if (psb_toupper(p_choice%csolve) == 'KRM') then
call prec%set('krm_method', p_choice%krm_method, info)
call prec%set('krm_kprec', p_choice%krm_prec, info)
call prec%set('krm_sub_solve', p_choice%krm_subsolve, info)
call prec%set('krm_global', p_choice%krm_global, info)
call prec%set('krm_eps', p_choice%krm_eps, info)
call prec%set('krm_irst', p_choice%krm_irst, info)
call prec%set('krm_istopc', p_choice%krm_istop, info)
call prec%set('krm_itmax', p_choice%krm_itmax, info)
call prec%set('krm_itrace', p_choice%krm_itrace, info)
call prec%set('krm_fillin', p_choice%krm_fillin, info)
else
if (psb_toupper(p_choice%csolve) == 'BJAC') &
& call prec%set('coarse_subsolve', p_choice%csbsolve, 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 if
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)
tsmth = 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
if (p_choice%dump) then
call prec%dump(info,istart=p_choice%dlmin,iend=p_choice%dlmax,&
& ac=p_choice%dump_ac,rp=p_choice%dump_rp,tprol=p_choice%dump_tprol,&
& smoother=p_choice%dump_smoother, solver=p_choice%dump_solver, &
& global_num=p_choice%dump_global_num)
end if
!
! iterative method parameters
!
call psb_barrier(ctxt)
t1 = psb_wtime()
select case(psb_toupper(trim(s_choice%kmethd)))
case('RICHARDSON')
call psb_richardson(a,prec,b,x,s_choice%eps,&
& desc_a,info,itmax=s_choice%itmax,iter=iter,&
& err=err,itrace=s_choice%itrace,&
& istop=s_choice%istopc)
case('BICGSTAB','BICGSTABL','BICG','CG','CGS','FCG','GCR','RGMRES')
call psb_krylov(s_choice%kmethd,a,prec,b,x,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)
case default
write(psb_err_unit,*) 'Unknown method :"',trim(s_choice%kmethd),'"'
info=psb_err_invalid_input_
call psb_errpush(info,name)
goto 9999
end select
call psb_barrier(ctxt)
tslv = psb_wtime() - t1
call psb_amx(ctxt,tslv)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='solver routine'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_barrier(ctxt)
tslv = psb_wtime() - t1
call psb_amx(ctxt,tslv)
! compute residual norms
call psb_geall(r,desc_a,info)
call r%zero()
call psb_geasb(r,desc_a,info)
call psb_geaxpby(done,b,dzero,r,desc_a,info)
call psb_spmm(-done,a,x,done,r,desc_a,info)
resmx = psb_genrm2(r,desc_a,info)
resmxp = psb_geamax(r,desc_a,info)
vecsize = x%sizeof()
amatsize = a%sizeof()
descsize = desc_a%sizeof()
precsize = prec%sizeof()
system_size = desc_a%get_global_rows()
call psb_sum(ctxt,vecsize)
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,'("Computed solution on ",i8," process(es)")') np
write(psb_out_unit,'("Number of threads : ",i12)') nth
write(psb_out_unit,'("Total number of tasks : ",i12)') nth*np
write(psb_out_unit,'("Discretization domain size : ",i12)') idim
write(psb_out_unit,'("Linear system size : ",i12)') system_size
write(psb_out_unit,'("PDE Coefficients : ",a)') trim(pdecoeff)
write(psb_out_unit,'("Problem setup time : ",es12.5)') tpgen
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)') tsmth
write(psb_out_unit,'("Total preconditioner setup time : ",es12.5)') tsmth+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 X : ",i16)') vecsize
write(psb_out_unit,'("Total memory occupation for A : ",i16)') amatsize
write(psb_out_unit,'("Total memory occupation for DESC_A : ",i16)') descsize
write(psb_out_unit,'("Total memory occupation for PREC : ",i16)') precsize
write(psb_out_unit,'("Total memory occupation : ",i16)') &
& amatsize + descsize+precsize+2*vecsize
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()
end if
! call psb_print_timers(ctxt)
!
! cleanup storage and exit
!
call psb_gefree(b,desc_a,info)
call psb_gefree(x,desc_a,info)
call psb_spfree(a,desc_a,info)
call prec%free(info)
call psb_cdfree(desc_a,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='free routine'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_exit(ctxt)
stop
9999 continue
call psb_error(ctxt)
contains
!
! get iteration parameters from standard input
!
!
! get iteration parameters from standard input
!
subroutine get_parms(ctxt,afmt,idim,solve,prec,pdecoeff)
implicit none
type(psb_ctxt_type) :: ctxt
integer(psb_ipk_) :: idim
character(len=*) :: afmt
type(solverdata) :: solve
type(precdata) :: prec
character(len=*) :: pdecoeff
integer(psb_ipk_) :: iam, nm, np, inp_unit
character(len=1024) :: filename
call psb_info(ctxt,iam,np)
if (iam == psb_root_) then
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
write(psb_err_unit,*) 'Usage: amg_d_pde3d ctrl-file '
call psb_abort(ctxt)
stop
end if
! read input data
!
call read_data(afmt,inp_unit) ! matrix storage format
call read_data(idim,inp_unit) ! Discretization grid size
call read_data(pdecoeff,inp_unit) ! PDE Coefficients
! 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%degree,inp_unit) ! (pre-)smoother / 1-lev prec sweeps
call read_data(prec%pvariant,inp_unit) !
call read_data(prec%prhovariant,inp_unit)! how to estimate rho(M^{-1}A)
call read_data(prec%prhovalue,inp_unit) ! if previous is set value, we set it from this one
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%ssweeps,inp_unit) ! inner solver sweeps
call read_data(prec%variant,inp_unit) ! AINV variant
call read_data(prec%fill,inp_unit) ! fill-in for incomplete LU
call read_data(prec%invfill,inp_unit) !Inverse fill-in for INVK
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%degree2,inp_unit) ! (post-)smoother sweeps
call read_data(prec%pvariant2,inp_unit) !
call read_data(prec%prhovariant2,inp_unit)! how to estimate rho(M^{-1}A)
call read_data(prec%prhovalue2,inp_unit) ! if previous is set value, we set it from this one
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%ssweeps2,inp_unit) ! inner solver sweeps
call read_data(prec%variant2,inp_unit) ! AINV variant
call read_data(prec%fill2,inp_unit) ! fill-in for incomplete LU
call read_data(prec%invfill2,inp_unit) !Inverse fill-in for INVK
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%csizepp,inp_unit) ! min size coarsest mat
call read_data(prec%remap,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_type,inp_unit) ! type of aggregation
call read_data(prec%aggr_size,inp_unit) ! Requested size of the aggregates for MATCHBOXP
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
! Krylov method for coarsest level
call read_data(prec%krm_method,inp_unit) ! Krylov method for coarsest level
call read_data(prec%krm_prec,inp_unit) ! Preconditioner for coarsest level
call read_data(prec%krm_subsolve,inp_unit) ! Subsolver for coarsest level
call read_data(prec%krm_global,inp_unit) ! Is the solver global or local? TRUE or FALSE
call read_data(prec%krm_eps,inp_unit) ! Stopping tolerance
call read_data(prec%krm_irst,inp_unit) ! Restart for Krylov method
call read_data(prec%krm_istop,inp_unit) ! Stopping criterion
call read_data(prec%krm_itmax,inp_unit) ! Maximum number of iterations
call read_data(prec%krm_itrace,inp_unit) ! Trace of the lower Krylov iterations
call read_data(prec%krm_fillin,inp_unit) ! Fill-in for incomplete LU factorization
! dump
call read_data(prec%dump,inp_unit) ! Dump on file?
call read_data(prec%dlmin,inp_unit) ! Minimum level to dump
call read_data(prec%dlmax,inp_unit) ! Maximum level to dump
call read_data(prec%dump_ac,inp_unit)
call read_data(prec%dump_rp,inp_unit)
call read_data(prec%dump_tprol,inp_unit)
call read_data(prec%dump_smoother,inp_unit)
call read_data(prec%dump_solver,inp_unit)
call read_data(prec%dump_global_num,inp_unit)
if (inp_unit /= psb_inp_unit) then
close(inp_unit)
end if
end if
call psb_bcast(ctxt,afmt)
call psb_bcast(ctxt,idim)
call psb_bcast(ctxt,pdecoeff)
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%degree)
call psb_bcast(ctxt,prec%pvariant)
call psb_bcast(ctxt,prec%prhovariant)
call psb_bcast(ctxt,prec%prhovalue)
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%ssweeps)
call psb_bcast(ctxt,prec%variant)
call psb_bcast(ctxt,prec%fill)
call psb_bcast(ctxt,prec%invfill)
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%degree2)
call psb_bcast(ctxt,prec%pvariant2)
call psb_bcast(ctxt,prec%prhovariant2)
call psb_bcast(ctxt,prec%prhovalue2)
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%ssweeps2)
call psb_bcast(ctxt,prec%variant2)
call psb_bcast(ctxt,prec%fill2)
call psb_bcast(ctxt,prec%invfill2)
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%csizepp)
call psb_bcast(ctxt,prec%remap)
call psb_bcast(ctxt,prec%aggr_prol)
call psb_bcast(ctxt,prec%par_aggr_alg)
call psb_bcast(ctxt,prec%aggr_type)
call psb_bcast(ctxt,prec%aggr_size)
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%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)
! Krylov method for coarsest level (broadcast)
call psb_bcast(ctxt,prec%krm_method)
call psb_bcast(ctxt,prec%krm_prec)
call psb_bcast(ctxt,prec%krm_subsolve)
call psb_bcast(ctxt,prec%krm_global)
call psb_bcast(ctxt,prec%krm_eps)
call psb_bcast(ctxt,prec%krm_irst)
call psb_bcast(ctxt,prec%krm_istop)
call psb_bcast(ctxt,prec%krm_itmax)
call psb_bcast(ctxt,prec%krm_itrace)
call psb_bcast(ctxt,prec%krm_fillin)
! dump
call psb_bcast(ctxt,prec%dump)
call psb_bcast(ctxt,prec%dlmin)
call psb_bcast(ctxt,prec%dlmax)
call psb_bcast(ctxt,prec%dump_ac)
call psb_bcast(ctxt,prec%dump_rp)
call psb_bcast(ctxt,prec%dump_tprol)
call psb_bcast(ctxt,prec%dump_smoother)
call psb_bcast(ctxt,prec%dump_solver)
call psb_bcast(ctxt,prec%dump_global_num)
end subroutine get_parms
end program amg_d_pde3d

@ -0,0 +1,662 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
! File: amg_d_pde3d.f90
!
! Program: amg_d_pde3d
! This sample program solves a linear system obtained by discretizing a
! PDE with Dirichlet BCs.
!
!
! The PDE is a general second order equation in 3d
!
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
! dxdx dydy dzdz dx dy dz
!
! with Dirichlet boundary conditions
! u = g
!
! on the unit cube 0<=x,y,z<=1.
!
!
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
!
! There are three choices available for data distribution:
! 1. A simple BLOCK distribution
! 2. A ditribution based on arbitrary assignment of indices to processes,
! typically from a graph partitioner
! 3. A 3D distribution in which the unit cube is partitioned
! into subcubes, each one assigned to a process.
!
program amg_d_pde3d
use psb_base_mod
use amg_prec_mod
use psb_krylov_mod
use psb_util_mod
use data_input
use amg_d_pde3d_base_mod
use amg_d_pde3d_exp_mod
use amg_d_pde3d_gauss_mod
use amg_d_genpde_mod
implicit none
! input parameters
character(len=20) :: kmethd, ptype
character(len=5) :: afmt, pdecoeff
integer(psb_ipk_) :: idim
integer(psb_epk_) :: system_size
! miscellaneous
real(psb_dpk_) :: t1, t2, tprec, thier, tslv
! sparse matrix and preconditioner
type(psb_dspmat_type) :: a
type(amg_dprec_type) :: prec
! descriptor
type(psb_desc_type) :: desc_a
! dense vectors
type(psb_d_vect_type) :: x,b,r
! parallel environment
type(psb_ctxt_type) :: ctxt
integer(psb_ipk_) :: iam, np
! solver parameters
integer(psb_ipk_) :: iter, itmax,itrace, istopc, irst, nlv
integer(psb_epk_) :: amatsize, precsize, descsize
real(psb_dpk_) :: err, resmx, resmxp
! Krylov solver data
type solverdata
character(len=40) :: kmethd ! Krylov solver
integer(psb_ipk_) :: istopc ! stopping criterion
integer(psb_ipk_) :: itmax ! maximum number of iterations
integer(psb_ipk_) :: itrace ! tracing
integer(psb_ipk_) :: irst ! restart
real(psb_dpk_) :: eps ! stopping tolerance
end type solverdata
type(solverdata) :: s_choice
! preconditioner data
type precdata
! preconditioner type
character(len=40) :: descr ! verbose description of the prec
character(len=10) :: ptype ! preconditioner type
integer(psb_ipk_) :: outer_sweeps ! number of outer sweeps: sweeps for 1-level,
! AMG cycles for ML
! general AMG data
character(len=16) :: mlcycle ! AMG cycle type
integer(psb_ipk_) :: maxlevs ! maximum number of levels in AMG preconditioner
! AMG aggregation
character(len=16) :: aggr_prol ! aggregation type: SMOOTHED, NONSMOOTHED
character(len=16) :: par_aggr_alg ! parallel aggregation algorithm: DEC, SYMDEC
character(len=16) :: aggr_type ! Type of aggregation SOC1, SOC2, MATCHBOXP
integer(psb_ipk_) :: aggr_size ! Requested size of the aggregates for MATCHBOXP
character(len=16) :: aggr_ord ! ordering for aggregation: NATURAL, DEGREE
character(len=16) :: aggr_filter ! filtering: FILTER, NO_FILTER
real(psb_dpk_) :: mncrratio ! minimum aggregation ratio
real(psb_dpk_), allocatable :: athresv(:) ! smoothed aggregation threshold vector
integer(psb_ipk_) :: thrvsz ! size of threshold vector
real(psb_dpk_) :: athres ! smoothed aggregation threshold
integer(psb_ipk_) :: csizepp ! minimum size of coarsest matrix per process
! AMG smoother or pre-smoother; also 1-lev preconditioner
character(len=16) :: smther ! (pre-)smoother type: BJAC, AS
integer(psb_ipk_) :: jsweeps ! (pre-)smoother / 1-lev prec. sweeps
integer(psb_ipk_) :: novr ! number of overlap layers
character(len=16) :: restr ! restriction over application of AS
character(len=16) :: prol ! prolongation over application of AS
character(len=16) :: solve ! local subsolver type: ILU, MILU, ILUT,
! UMF, MUMPS, SLU, FWGS, BWGS, JAC
character(len=16) :: variant ! AINV variant: LLK, etc
integer(psb_ipk_) :: fill ! fill-in for incomplete LU factorization
integer(psb_ipk_) :: invfill ! Inverse fill-in for INVK
real(psb_dpk_) :: thr ! threshold for ILUT factorization
! AMG post-smoother; ignored by 1-lev preconditioner
character(len=16) :: smther2 ! post-smoother type: BJAC, AS
integer(psb_ipk_) :: jsweeps2 ! post-smoother sweeps
integer(psb_ipk_) :: novr2 ! number of overlap layers
character(len=16) :: restr2 ! restriction over application of AS
character(len=16) :: prol2 ! prolongation over application of AS
character(len=16) :: solve2 ! local subsolver type: ILU, MILU, ILUT,
! UMF, MUMPS, SLU, FWGS, BWGS, JAC
character(len=16) :: variant2 ! AINV variant: LLK, etc
integer(psb_ipk_) :: fill2 ! fill-in for incomplete LU factorization
integer(psb_ipk_) :: invfill2 ! Inverse fill-in for INVK
real(psb_dpk_) :: thr2 ! threshold for ILUT factorization
! coarsest-level solver
character(len=16) :: cmat ! coarsest matrix layout: REPL, DIST
character(len=16) :: csolve ! coarsest-lev solver: BJAC, SLUDIST (distr.
! mat.); UMF, MUMPS, SLU, ILU, ILUT, MILU
! (repl. mat.)
character(len=16) :: csbsolve ! coarsest-lev local subsolver: ILU, ILUT,
! MILU, UMF, MUMPS, SLU
integer(psb_ipk_) :: cfill ! fill-in for incomplete LU factorization
real(psb_dpk_) :: cthres ! threshold for ILUT factorization
integer(psb_ipk_) :: cjswp ! sweeps for GS or JAC coarsest-lev subsolver
end type precdata
type(precdata) :: p_choice
! other variables
integer(psb_ipk_) :: info, i, k
character(len=20) :: name,ch_err
logical, parameter :: dump=.true.
info=psb_success_
call psb_init(ctxt)
call psb_info(ctxt,iam,np)
if (iam < 0) then
! This should not happen, but just in case
call psb_exit(ctxt)
stop
endif
if(psb_get_errstatus() /= 0) goto 9999
name='amg_d_pde3d'
call psb_set_errverbosity(itwo)
!
! Hello world
!
if (iam == psb_root_) then
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
write(*,*) 'This is the ',trim(name),' sample program'
end if
!
! get parameters
!
call get_parms(ctxt,afmt,idim,s_choice,p_choice,pdecoeff)
!
! allocate and fill in the coefficient matrix, rhs and initial guess
!
call psb_barrier(ctxt)
t1 = psb_wtime()
select case(psb_toupper(trim(pdecoeff)))
case("CONST")
call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1,a2,a3,b1,b2,b3,c,g,info)
case("EXP")
call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_exp,a2_exp,a3_exp,b1_exp,b2_exp,b3_exp,c_exp,g_exp,info)
case("GAUSS")
call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_gauss,a2_gauss,a3_gauss,b1_gauss,b2_gauss,b3_gauss,c_gauss,g_gauss,info)
case default
info=psb_err_from_subroutine_
ch_err='amg_gen_pdecoeff'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end select
call psb_barrier(ctxt)
t2 = psb_wtime() - t1
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='amg_gen_pde3d'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
if (iam == psb_root_) &
& write(psb_out_unit,'("PDE Coefficients : ",a)')pdecoeff
if (iam == psb_root_) &
& write(psb_out_unit,'("Overall matrix creation time : ",es12.5)')t2
if (iam == psb_root_) &
& write(psb_out_unit,'(" ")')
!
! initialize the preconditioner
!
call prec%init(ctxt,p_choice%ptype,info)
select case(trim(psb_toupper(p_choice%ptype)))
case ('NONE','NOPREC')
! Do nothing, keep defaults
case ('JACOBI','L1-JACOBI','GS','FWGS','FBGS')
! 1-level sweeps from "outer_sweeps"
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
case ('BJAC')
call prec%set('smoother_sweeps', p_choice%jsweeps, 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)
case('AS')
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
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)
case ('ML')
! multilevel preconditioner
call prec%set('ml_cycle', p_choice%mlcycle, info)
call prec%set('outer_sweeps', p_choice%outer_sweeps,info)
if (p_choice%csizepp>0)&
& call prec%set('min_coarse_size_per_process', p_choice%csizepp, info)
if (p_choice%mncrratio>1)&
& call prec%set('min_cr_ratio', p_choice%mncrratio, info)
if (p_choice%maxlevs>0)&
& call prec%set('max_levs', p_choice%maxlevs, info)
if (p_choice%athres >= dzero) &
& call prec%set('aggr_thresh', p_choice%athres, info)
if (p_choice%thrvsz>0) then
do k=1,min(p_choice%thrvsz,size(prec%precv)-1)
call prec%set('aggr_thresh', p_choice%athresv(k), info,ilev=(k+1))
end do
end if
call prec%set('aggr_prol', p_choice%aggr_prol, info)
call prec%set('par_aggr_alg', p_choice%par_aggr_alg, info)
call prec%set('aggr_type', p_choice%aggr_type, info)
call prec%set('aggr_size', p_choice%aggr_size, info)
call prec%set('aggr_ord', p_choice%aggr_ord, info)
call prec%set('aggr_filter', p_choice%aggr_filter,info)
call prec%set('smoother_type', p_choice%smther, info)
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
select case (psb_toupper(p_choice%smther))
case ('GS','BWGS','FBGS','JACOBI','L1-JACOBI','L1-FBGS')
! 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)
select case(trim(psb_toupper(p_choice%solve)))
case('INVK')
call prec%set('sub_solve', p_choice%solve, info)
case('INVT')
call prec%set('sub_solve', p_choice%solve, info)
case('AINV')
call prec%set('sub_solve', p_choice%solve, info)
call prec%set('ainv_alg', p_choice%variant, info)
case default
call prec%set('sub_solve', p_choice%solve, info)
end select
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('inv_fillin', p_choice%invfill, 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','L1-JACOBI','L1-FBGS')
! 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')
select case(trim(psb_toupper(p_choice%solve2)))
case('INVK')
call prec%set('sub_solve', p_choice%solve2, info)
case('INVT')
call prec%set('sub_solve', p_choice%solve2, info)
case('AINV')
call prec%set('sub_solve', p_choice%solve2, info)
call prec%set('ainv_alg', p_choice%variant2, info)
case default
call prec%set('sub_solve', p_choice%solve2, info, pos='post')
end select
call prec%set('sub_fillin', p_choice%fill2, info,pos='post')
call prec%set('inv_fillin', p_choice%invfill2, 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
if (dump) then
call prec%dump(info,istart=1,ac=.true.,rp=.true.)
end if
!
! iterative method parameters
!
call psb_barrier(ctxt)
t1 = psb_wtime()
call psb_krylov(s_choice%kmethd,a,prec,b,x,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)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='solver routine'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_barrier(ctxt)
tslv = psb_wtime() - t1
call psb_amx(ctxt,tslv)
! compute residual norms
call psb_geall(r,desc_a,info)
call r%zero()
call psb_geasb(r,desc_a,info)
call psb_geaxpby(done,b,dzero,r,desc_a,info)
call psb_spmm(-done,a,x,done,r,desc_a,info)
resmx = psb_genrm2(r,desc_a,info)
resmxp = psb_geamax(r,desc_a,info)
amatsize = a%sizeof()
descsize = desc_a%sizeof()
precsize = prec%sizeof()
system_size = desc_a%get_global_rows()
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,'("Computed solution on ",i8," processors")') np
write(psb_out_unit,'("Linear system size : ",i12)') system_size
write(psb_out_unit,'("PDE Coefficients : ",a)') trim(pdecoeff)
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()
end if
!
! cleanup storage and exit
!
call psb_gefree(b,desc_a,info)
call psb_gefree(x,desc_a,info)
call psb_spfree(a,desc_a,info)
call prec%free(info)
call psb_cdfree(desc_a,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='free routine'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_exit(ctxt)
stop
9999 continue
call psb_error(ctxt)
contains
!
! get iteration parameters from standard input
!
!
! get iteration parameters from standard input
!
subroutine get_parms(ctxt,afmt,idim,solve,prec,pdecoeff)
implicit none
type(psb_ctxt_type) :: ctxt
integer(psb_ipk_) :: idim
character(len=*) :: afmt
type(solverdata) :: solve
type(precdata) :: prec
character(len=*) :: pdecoeff
integer(psb_ipk_) :: iam, nm, np, inp_unit
character(len=1024) :: filename
call psb_info(ctxt,iam,np)
if (iam == psb_root_) then
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
! read input data
!
call read_data(afmt,inp_unit) ! matrix storage format
call read_data(idim,inp_unit) ! Discretization grid size
call read_data(pdecoeff,inp_unit) ! PDE Coefficients
! 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%variant,inp_unit) ! AINV variant
call read_data(prec%fill,inp_unit) ! fill-in for incomplete LU
call read_data(prec%invfill,inp_unit) !Inverse fill-in for INVK
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%variant2,inp_unit) ! AINV variant
call read_data(prec%fill2,inp_unit) ! fill-in for incomplete LU
call read_data(prec%invfill2,inp_unit) !Inverse fill-in for INVK
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%csizepp,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_type,inp_unit) ! type of aggregation
call read_data(prec%aggr_size,inp_unit) ! Requested size of the aggregates for MATCHBOXP
call read_data(prec%aggr_ord,inp_unit) ! ordering for aggregation
call read_data(prec%aggr_filter,inp_unit) ! filtering
call read_data(prec%mncrratio,inp_unit) ! minimum aggregation ratio
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
call read_data(prec%athres,inp_unit) ! smoothed aggr thresh
! 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,afmt)
call psb_bcast(ctxt,idim)
call psb_bcast(ctxt,pdecoeff)
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%variant)
call psb_bcast(ctxt,prec%fill)
call psb_bcast(ctxt,prec%invfill)
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%variant2)
call psb_bcast(ctxt,prec%fill2)
call psb_bcast(ctxt,prec%invfill2)
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%csizepp)
call psb_bcast(ctxt,prec%aggr_prol)
call psb_bcast(ctxt,prec%par_aggr_alg)
call psb_bcast(ctxt,prec%aggr_type)
call psb_bcast(ctxt,prec%aggr_size)
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%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_d_pde3d

@ -0,0 +1,101 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_d_pde3d_box_mod
use psb_base_mod, only : psb_dpk_, done, dzero
real(psb_dpk_), save, private :: epsilon=done/80
contains
subroutine pde_set_parm3d_box(dat)
real(psb_dpk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm3d_box
!
! functions parametrizing the differential equation
!
function b1_box(x,y,z)
implicit none
real(psb_dpk_) :: b1_box
real(psb_dpk_), intent(in) :: x,y,z
b1_box=done/sqrt(3.0_psb_dpk_)
end function b1_box
function b2_box(x,y,z)
implicit none
real(psb_dpk_) :: b2_box
real(psb_dpk_), intent(in) :: x,y,z
b2_box=done/sqrt(3.0_psb_dpk_)
end function b2_box
function b3_box(x,y,z)
implicit none
real(psb_dpk_) :: b3_box
real(psb_dpk_), intent(in) :: x,y,z
b3_box=done/sqrt(3.0_psb_dpk_)
end function b3_box
function c_box(x,y,z)
implicit none
real(psb_dpk_) :: c_box
real(psb_dpk_), intent(in) :: x,y,z
c_box=dzero
end function c_box
function a1_box(x,y,z)
implicit none
real(psb_dpk_) :: a1_box
real(psb_dpk_), intent(in) :: x,y,z
a1_box=epsilon
end function a1_box
function a2_box(x,y,z)
implicit none
real(psb_dpk_) :: a2_box
real(psb_dpk_), intent(in) :: x,y,z
a2_box=epsilon
end function a2_box
function a3_box(x,y,z)
implicit none
real(psb_dpk_) :: a3_box
real(psb_dpk_), intent(in) :: x,y,z
a3_box=epsilon
end function a3_box
function g_box(x,y,z)
implicit none
real(psb_dpk_) :: g_box
real(psb_dpk_), intent(in) :: x,y,z
g_box= dzero
if (x == done) then
g_box = done
else if (x == dzero) then
g_box = done
end if
end function g_box
end module amg_d_pde3d_box_mod

@ -0,0 +1,101 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_d_pde3d_exp_mod
use psb_base_mod, only : psb_dpk_, done, dzero
real(psb_dpk_), save, private :: epsilon=done/160
contains
subroutine pde_set_parm3d_exp(dat)
real(psb_dpk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm3d_exp
!
! functions parametrizing the differential equation
!
function b1_exp(x,y,z)
implicit none
real(psb_dpk_) :: b1_exp
real(psb_dpk_), intent(in) :: x,y,z
b1_exp=dzero/sqrt(3.0_psb_dpk_)
end function b1_exp
function b2_exp(x,y,z)
implicit none
real(psb_dpk_) :: b2_exp
real(psb_dpk_), intent(in) :: x,y,z
b2_exp=dzero/sqrt(3.0_psb_dpk_)
end function b2_exp
function b3_exp(x,y,z)
implicit none
real(psb_dpk_) :: b3_exp
real(psb_dpk_), intent(in) :: x,y,z
b3_exp=dzero/sqrt(3.0_psb_dpk_)
end function b3_exp
function c_exp(x,y,z)
implicit none
real(psb_dpk_) :: c_exp
real(psb_dpk_), intent(in) :: x,y,z
c_exp=dzero
end function c_exp
function a1_exp(x,y,z)
implicit none
real(psb_dpk_) :: a1_exp
real(psb_dpk_), intent(in) :: x,y,z
a1_exp=epsilon*exp(-(x+y+z))
end function a1_exp
function a2_exp(x,y,z)
implicit none
real(psb_dpk_) :: a2_exp
real(psb_dpk_), intent(in) :: x,y,z
a2_exp=epsilon*exp(-(x+y+z))
end function a2_exp
function a3_exp(x,y,z)
implicit none
real(psb_dpk_) :: a3_exp
real(psb_dpk_), intent(in) :: x,y,z
a3_exp=epsilon*exp(-(x+y+z))
end function a3_exp
function g_exp(x,y,z)
implicit none
real(psb_dpk_) :: g_exp
real(psb_dpk_), intent(in) :: x,y,z
g_exp = dzero
if (x == done) then
g_exp = done
else if (x == dzero) then
g_exp = done
end if
end function g_exp
end module amg_d_pde3d_exp_mod

@ -0,0 +1,101 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_d_pde3d_gauss_mod
use psb_base_mod, only : psb_dpk_, done, dzero
real(psb_dpk_), save, private :: epsilon=done/80
contains
subroutine pde_set_parm3d_gauss(dat)
real(psb_dpk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm3d_gauss
!
! functions parametrizing the differential equation
!
function b1_gauss(x,y,z)
implicit none
real(psb_dpk_) :: b1_gauss
real(psb_dpk_), intent(in) :: x,y,z
b1_gauss=done/sqrt(3.0_psb_dpk_)-2*x*exp(-(x**2+y**2+z**2))
end function b1_gauss
function b2_gauss(x,y,z)
implicit none
real(psb_dpk_) :: b2_gauss
real(psb_dpk_), intent(in) :: x,y,z
b2_gauss=done/sqrt(3.0_psb_dpk_)-2*y*exp(-(x**2+y**2+z**2))
end function b2_gauss
function b3_gauss(x,y,z)
implicit none
real(psb_dpk_) :: b3_gauss
real(psb_dpk_), intent(in) :: x,y,z
b3_gauss=done/sqrt(3.0_psb_dpk_)-2*z*exp(-(x**2+y**2+z**2))
end function b3_gauss
function c_gauss(x,y,z)
implicit none
real(psb_dpk_) :: c_gauss
real(psb_dpk_), intent(in) :: x,y,z
c_gauss=dzero
end function c_gauss
function a1_gauss(x,y,z)
implicit none
real(psb_dpk_) :: a1_gauss
real(psb_dpk_), intent(in) :: x,y,z
a1_gauss=epsilon*exp(-(x**2+y**2+z**2))
end function a1_gauss
function a2_gauss(x,y,z)
implicit none
real(psb_dpk_) :: a2_gauss
real(psb_dpk_), intent(in) :: x,y,z
a2_gauss=epsilon*exp(-(x**2+y**2+z**2))
end function a2_gauss
function a3_gauss(x,y,z)
implicit none
real(psb_dpk_) :: a3_gauss
real(psb_dpk_), intent(in) :: x,y,z
a3_gauss=epsilon*exp(-(x**2+y**2+z**2))
end function a3_gauss
function g_gauss(x,y,z)
implicit none
real(psb_dpk_) :: g_gauss
real(psb_dpk_), intent(in) :: x,y,z
g_gauss = dzero
if (x == done) then
g_gauss = done
else if (x == dzero) then
g_gauss = done
end if
end function g_gauss
end module amg_d_pde3d_gauss_mod

@ -0,0 +1,101 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_d_pde3d_poisson_mod
use psb_base_mod, only : psb_dpk_, done, dzero
real(psb_dpk_), save, private :: epsilon=done/80
contains
subroutine pde_set_parm3d_poisson(dat)
real(psb_dpk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm3d_poisson
!
! functions parametrizing the differential equation
!
function b1_poisson(x,y,z)
implicit none
real(psb_dpk_) :: b1_poisson
real(psb_dpk_), intent(in) :: x,y,z
b1_poisson=dzero
end function b1_poisson
function b2_poisson(x,y,z)
implicit none
real(psb_dpk_) :: b2_poisson
real(psb_dpk_), intent(in) :: x,y,z
b2_poisson=dzero
end function b2_poisson
function b3_poisson(x,y,z)
implicit none
real(psb_dpk_) :: b3_poisson
real(psb_dpk_), intent(in) :: x,y,z
b3_poisson=dzero
end function b3_poisson
function c_poisson(x,y,z)
implicit none
real(psb_dpk_) :: c_poisson
real(psb_dpk_), intent(in) :: x,y,z
c_poisson=dzero
end function c_poisson
function a1_poisson(x,y,z)
implicit none
real(psb_dpk_) :: a1_poisson
real(psb_dpk_), intent(in) :: x,y,z
a1_poisson=epsilon
end function a1_poisson
function a2_poisson(x,y,z)
implicit none
real(psb_dpk_) :: a2_poisson
real(psb_dpk_), intent(in) :: x,y,z
a2_poisson=epsilon
end function a2_poisson
function a3_poisson(x,y,z)
implicit none
real(psb_dpk_) :: a3_poisson
real(psb_dpk_), intent(in) :: x,y,z
a3_poisson=epsilon
end function a3_poisson
function g_poisson(x,y,z)
implicit none
real(psb_dpk_) :: g_poisson
real(psb_dpk_), intent(in) :: x,y,z
g_poisson = dzero
if (x == done) then
g_poisson = done
else if (x == dzero) then
g_poisson = done
end if
end function g_poisson
end module amg_d_pde3d_poisson_mod

File diff suppressed because it is too large Load Diff

@ -0,0 +1,843 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
! File: amg_s_pde2d.f90
!
! Program: amg_s_pde2d
! This sample program solves a linear system obtained by discretizing a
! PDE with Dirichlet BCs.
!
!
! The PDE is a general second order equation in 2d
!
! a1 dd(u) a2 dd(u) b1 d(u) b2 d(u)
! - ------ - ------ ----- + ------ + c u = f
! dxdx dydy dx dy
!
! with Dirichlet boundary conditions
! u = g
!
! on the unit square 0<=x,y<=1.
!
!
! Note that if b1=b2=c=0., the PDE is the Laplace equation.
!
! There are three choices available for data distribution:
! 1. A simple BLOCK distribution
! 2. A ditribution based on arbitrary assignment of indices to processes,
! typically from a graph partitioner
! 3. A 2D distribution in which the unit square is partitioned
! into rectangles, each one assigned to a process.
!
program amg_s_pde2d
use psb_base_mod
use amg_prec_mod
use psb_linsolve_mod
use psb_util_mod
use data_input
use amg_s_pde2d_poisson_mod
use amg_s_pde2d_exp_mod
use amg_s_pde2d_box_mod
use amg_s_pde2d_gauss_mod
use amg_s_genpde_mod
#if defined(PSB_OPENMP)
use omp_lib
#endif
implicit none
! input parameters
character(len=20) :: kmethd, ptype
character(len=5) :: afmt
character(len=32) :: pdecoeff
integer(psb_ipk_) :: idim
integer(psb_epk_) :: system_size
! miscellaneous
real(psb_dpk_) :: t1, t2, tprec, thier, tslv, tsmth, tpgen
! sparse matrix and preconditioner
type(psb_sspmat_type) :: a
type(amg_sprec_type) :: prec
! descriptor
type(psb_desc_type) :: desc_a
! dense vectors
type(psb_s_vect_type) :: x,b,r
! parallel environment
type(psb_ctxt_type) :: ctxt
integer(psb_ipk_) :: iam, np, nth
! solver parameters
integer(psb_ipk_) :: iter, itmax,itrace, istopc, irst, nlv
integer(psb_epk_) :: amatsize, precsize, descsize, vecsize
real(psb_spk_) :: err, resmx, resmxp
! Solver data
type solverdata
character(len=40) :: kmethd ! Iterative solver
integer(psb_ipk_) :: istopc ! stopping criterion
integer(psb_ipk_) :: itmax ! maximum number of iterations
integer(psb_ipk_) :: itrace ! tracing
integer(psb_ipk_) :: irst ! restart
real(psb_spk_) :: eps ! stopping tolerance
end type solverdata
type(solverdata) :: s_choice
! preconditioner data
type precdata
! preconditioner type
character(len=40) :: descr ! verbose description of the prec
character(len=10) :: ptype ! preconditioner type
integer(psb_ipk_) :: outer_sweeps ! number of outer sweeps: sweeps for 1-level,
! AMG cycles for ML
! general AMG data
character(len=32) :: mlcycle ! AMG cycle type
integer(psb_ipk_) :: maxlevs ! maximum number of levels in AMG preconditioner
! AMG aggregation
character(len=32) :: aggr_prol ! aggregation type: SMOOTHED, NONSMOOTHED
character(len=32) :: par_aggr_alg ! parallel aggregation algorithm: DEC, SYMDEC
character(len=32) :: aggr_type ! Type of aggregation SOC1, SOC2, MATCHBOXP
integer(psb_ipk_) :: aggr_size ! Requested size of the aggregates for MATCHBOXP
character(len=32) :: aggr_ord ! ordering for aggregation: NATURAL, DEGREE
character(len=32) :: aggr_filter ! filtering: FILTER, NO_FILTER
real(psb_spk_) :: mncrratio ! minimum aggregation ratio
real(psb_spk_), allocatable :: athresv(:) ! smoothed aggregation threshold vector
integer(psb_ipk_) :: thrvsz ! size of threshold vector
real(psb_spk_) :: athres ! smoothed aggregation threshold
integer(psb_ipk_) :: csizepp ! minimum size of coarsest matrix per process
! AMG smoother or pre-smoother; also 1-lev preconditioner
character(len=32) :: smther ! (pre-)smoother type: BJAC, AS
integer(psb_ipk_) :: jsweeps ! (pre-)smoother / 1-lev prec. sweeps
integer(psb_ipk_) :: degree ! degree for polynomial smoother
character(len=32) :: pvariant ! polynomial variant
character(len=32) :: prhovariant ! how to estimate rho(M^{-1}A)
real(psb_spk_) :: prhovalue ! if previous is set value, we set it from this one
integer(psb_ipk_) :: novr ! number of overlap layers
character(len=32) :: restr ! restriction over application of AS
character(len=32) :: prol ! prolongation over application of AS
character(len=32) :: solve ! local subsolver type: ILU, MILU, ILUT,
! UMF, MUMPS, SLU, FWGS, BWGS, JAC
integer(psb_ipk_) :: ssweeps ! inner solver sweeps
character(len=32) :: variant ! AINV variant: LLK, etc
integer(psb_ipk_) :: fill ! fill-in for incomplete LU factorization
integer(psb_ipk_) :: invfill ! Inverse fill-in for INVK
real(psb_spk_) :: thr ! threshold for ILUT factorization
! AMG post-smoother; ignored by 1-lev preconditioner
character(len=32) :: smther2 ! post-smoother type: BJAC, AS
integer(psb_ipk_) :: jsweeps2 ! post-smoother sweeps
integer(psb_ipk_) :: degree2 ! degree for polynomial smoother
character(len=32) :: pvariant2 ! polynomial variant
character(len=32) :: prhovariant2 ! how to estimate rho(M^{-1}A)
real(psb_spk_) :: prhovalue2 ! if previous is set value, we set it from this one
integer(psb_ipk_) :: novr2 ! number of overlap layers
character(len=32) :: restr2 ! restriction over application of AS
character(len=32) :: prol2 ! prolongation over application of AS
character(len=32) :: solve2 ! local subsolver type: ILU, MILU, ILUT,
! UMF, MUMPS, SLU, FWGS, BWGS, JAC
integer(psb_ipk_) :: ssweeps2 ! inner solver sweeps
character(len=32) :: variant2 ! AINV variant: LLK, etc
integer(psb_ipk_) :: fill2 ! fill-in for incomplete LU factorization
integer(psb_ipk_) :: invfill2 ! Inverse fill-in for INVK
real(psb_spk_) :: thr2 ! threshold for ILUT factorization
! coarsest-level solver
character(len=32) :: cmat ! coarsest matrix layout: REPL, DIST
character(len=32) :: csolve ! coarsest-lev solver: BJAC, SLUDIST (distr.
! mat.); UMF, MUMPS, SLU, ILU, ILUT, MILU
! (repl. mat.)
character(len=32) :: csbsolve ! coarsest-lev local subsolver: ILU, ILUT,
! MILU, UMF, MUMPS, SLU
integer(psb_ipk_) :: cfill ! fill-in for incomplete LU factorization
real(psb_spk_) :: cthres ! threshold for ILUT factorization
integer(psb_ipk_) :: cjswp ! sweeps for GS or JAC coarsest-lev subsolver
! settings for the Krylov method
character(len=16) :: krm_method ! Krylov method for coarsest level
character(len=16) :: krm_prec ! Preconditioner for coarsest level
character(len=16) :: krm_subsolve ! Subsolver for coarsest level
character(len=16) :: krm_global ! Is the solver global or local? TRUE or FALSE
real(psb_spk_) :: krm_eps ! Stopping tolerance
integer(psb_ipk_) :: krm_irst ! Restart for Krylov method
integer(psb_ipk_) :: krm_istop ! Stopping criterion
integer(psb_ipk_) :: krm_itmax ! Maximum number of iterations
integer(psb_ipk_) :: krm_itrace ! Trace of the lower Krylov iterations
integer(psb_ipk_) :: krm_fillin ! Fill-in for incomplete LU factorization
! Dump data
logical :: dump = .false.
integer(psb_ipk_) :: dlmin ! Minimum level to dump
integer(psb_ipk_) :: dlmax ! Maximum level to dump
logical :: dump_ac = .false.
logical :: dump_rp = .false.
logical :: dump_tprol = .false.
logical :: dump_smoother = .false.
logical :: dump_solver = .false.
logical :: dump_global_num = .false.
end type precdata
type(precdata) :: p_choice
! other variables
integer(psb_ipk_) :: info, i, k
character(len=20) :: name,ch_err
info=psb_success_
call psb_init(ctxt)
call psb_info(ctxt,iam,np)
#if defined(PSB_OPENMP)
!$OMP parallel shared(nth)
!$OMP master
nth = omp_get_num_threads()
!$OMP end master
!$OMP end parallel
#else
nth = 1
#endif
if (iam < 0) then
! This should not happen, but just in case
call psb_exit(ctxt)
stop
endif
if(psb_get_errstatus() /= 0) goto 9999
name='amg_s_pde2d'
call psb_set_errverbosity(itwo)
!
! Hello world
!
if (iam == psb_root_) then
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
write(*,*) 'This is the ',trim(name),' sample program'
end if
!
! get parameters
!
call get_parms(ctxt,afmt,idim,s_choice,p_choice,pdecoeff)
!
! allocate and fill in the coefficient matrix, rhs and initial guess
!
call psb_barrier(ctxt)
t1 = psb_wtime()
select case(psb_toupper(trim(pdecoeff)))
case("POISSON")
call amg_gen_pde2d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_poisson,a2_poisson,&
& b1_poisson,b2_poisson,c_poisson,g_poisson,info)
case("EXP")
call amg_gen_pde2d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_exp,a2_exp,&
& b1_exp,b2_exp,c_exp,g_exp,info)
case("BOX")
call amg_gen_pde2d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_box,a2_box,&
& b1_box,b2_box,c_box,g_box,info)
case("GAUSS")
call amg_gen_pde2d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_gauss,a2_gauss,&
& b1_gauss,b2_gauss,c_gauss,g_gauss,info)
case default
info=psb_err_from_subroutine_
ch_err='amg_gen_pdecoeff'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end select
call psb_barrier(ctxt)
tpgen = psb_wtime() - t1
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='amg_gen_pde2d'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
if (iam == psb_root_) &
& write(psb_out_unit,'("PDE Coefficients : ",a)')pdecoeff
if (iam == psb_root_) &
& write(psb_out_unit,'("Overall matrix creation time : ",es12.5)')tpgen
if (iam == psb_root_) &
& write(psb_out_unit,'(" ")')
!
! initialize the preconditioner
!
call prec%init(ctxt,p_choice%ptype,info)
select case(trim(psb_toupper(p_choice%ptype)))
case ('NONE','NOPREC')
! Do nothing, keep defaults
case ('JACOBI','L1-JACOBI','GS','FWGS','FBGS')
! 1-level sweeps from "outer_sweeps"
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
case ('BJAC','POLY')
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
call prec%set('sub_solve', p_choice%solve, info)
call prec%set('solver_sweeps', p_choice%ssweeps, info)
call prec%set('poly_degree', p_choice%degree, info)
call prec%set('poly_variant', p_choice%pvariant, info)
if (psb_toupper(p_choice%solve)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('sub_iluthrs', p_choice%thr, info)
case('AS')
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
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('solver_sweeps', p_choice%ssweeps, info)
if (psb_toupper(p_choice%solve)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('sub_iluthrs', p_choice%thr, info)
case ('ML')
! multilevel preconditioner
call prec%set('ml_cycle', p_choice%mlcycle, info)
call prec%set('outer_sweeps', p_choice%outer_sweeps,info)
if (p_choice%csizepp>0)&
& call prec%set('min_coarse_size_per_process', p_choice%csizepp, info)
if (p_choice%mncrratio>1)&
& call prec%set('min_cr_ratio', p_choice%mncrratio, info)
if (p_choice%maxlevs>0)&
& call prec%set('max_levs', p_choice%maxlevs, info)
if (p_choice%athres >= dzero) &
& call prec%set('aggr_thresh', p_choice%athres, info)
if (p_choice%thrvsz>0) then
do k=1,min(p_choice%thrvsz,size(prec%precv)-1)
call prec%set('aggr_thresh', p_choice%athresv(k), info,ilev=(k+1))
end do
end if
call prec%set('aggr_prol', p_choice%aggr_prol, info)
call prec%set('par_aggr_alg', p_choice%par_aggr_alg, info)
call prec%set('aggr_type', p_choice%aggr_type, info)
call prec%set('aggr_size', p_choice%aggr_size, info)
call prec%set('aggr_ord', p_choice%aggr_ord, info)
call prec%set('aggr_filter', p_choice%aggr_filter,info)
call prec%set('smoother_type', p_choice%smther, info)
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
call prec%set('poly_degree', p_choice%degree, info)
call prec%set('poly_variant', p_choice%pvariant, info)
if (p_choice%prhovalue > szero ) then
call prec%set('poly_rho_ba', p_choice%prhovalue, info)
else
call prec%set('poly_rho_estimate', p_choice%prhovariant, info)
end if
select case (psb_toupper(p_choice%smther))
case ('GS','BWGS','FBGS','JACOBI','L1-JACOBI','L1-FBGS')
! 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)
select case(trim(psb_toupper(p_choice%solve)))
case('INVK')
call prec%set('sub_solve', p_choice%solve, info)
case('INVT')
call prec%set('sub_solve', p_choice%solve, info)
case('AINV')
call prec%set('sub_solve', p_choice%solve, info)
call prec%set('ainv_alg', p_choice%variant, info)
case default
call prec%set('sub_solve', p_choice%solve, info)
if (psb_toupper(p_choice%solve)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
end select
call prec%set('solver_sweeps', p_choice%ssweeps, info)
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('inv_fillin', p_choice%invfill, 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')
call prec%set('poly_degree', p_choice%degree2, info,pos='post')
call prec%set('poly_variant', p_choice%pvariant2, info,pos='post')
if (p_choice%prhovalue > szero ) then
call prec%set('poly_rho_ba', p_choice%prhovalue2, info,pos='post')
else
call prec%set('poly_rho_estimate', p_choice%prhovariant2, info,pos='post')
end if
select case (psb_toupper(p_choice%smther2))
case ('GS','BWGS','FBGS','JACOBI','L1-JACOBI','L1-FBGS')
! 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')
select case(trim(psb_toupper(p_choice%solve2)))
case('INVK')
call prec%set('sub_solve', p_choice%solve2, info)
case('INVT')
call prec%set('sub_solve', p_choice%solve2, info)
case('AINV')
call prec%set('sub_solve', p_choice%solve2, info)
call prec%set('ainv_alg', p_choice%variant2, info)
case default
call prec%set('sub_solve', p_choice%solve2, info, pos='post')
if (psb_toupper(p_choice%solve2)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
end select
call prec%set('solver_sweeps', p_choice%ssweeps2, info,pos='post')
call prec%set('sub_fillin', p_choice%fill2, info,pos='post')
call prec%set('inv_fillin', p_choice%invfill2, 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)
call prec%set('coarse_mat', p_choice%cmat, info)
! Set for the case of a KRM solver
if (psb_toupper(p_choice%csolve) == 'KRM') then
call prec%set('krm_method', p_choice%krm_method, info)
call prec%set('krm_kprec', p_choice%krm_prec, info)
call prec%set('krm_sub_solve', p_choice%krm_subsolve, info)
call prec%set('krm_global', p_choice%krm_global, info)
call prec%set('krm_eps', p_choice%krm_eps, info)
call prec%set('krm_irst', p_choice%krm_irst, info)
call prec%set('krm_istopc', p_choice%krm_istop, info)
call prec%set('krm_itmax', p_choice%krm_itmax, info)
call prec%set('krm_itrace', p_choice%krm_itrace, info)
call prec%set('krm_fillin', p_choice%krm_fillin, info)
else
if (psb_toupper(p_choice%csolve) == 'BJAC') &
& call prec%set('coarse_subsolve', p_choice%csbsolve, 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 if
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)
tsmth = 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
if (p_choice%dump) then
call prec%dump(info,istart=p_choice%dlmin,iend=p_choice%dlmax,&
& ac=p_choice%dump_ac,rp=p_choice%dump_rp,tprol=p_choice%dump_tprol,&
& smoother=p_choice%dump_smoother, solver=p_choice%dump_solver, &
& global_num=p_choice%dump_global_num)
end if
!
! iterative method parameters
!
call psb_barrier(ctxt)
t1 = psb_wtime()
select case(psb_toupper(trim(s_choice%kmethd)))
case('RICHARDSON')
call psb_richardson(a,prec,b,x,s_choice%eps,&
& desc_a,info,itmax=s_choice%itmax,iter=iter,&
& err=err,itrace=s_choice%itrace,&
& istop=s_choice%istopc)
case('BICGSTAB','BICGSTABL','BICG','CG','CGS','FCG','GCR','RGMRES')
call psb_krylov(s_choice%kmethd,a,prec,b,x,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)
case default
write(psb_err_unit,*) 'Unknown method :"',trim(s_choice%kmethd),'"'
info=psb_err_invalid_input_
call psb_errpush(info,name)
goto 9999
end select
call psb_barrier(ctxt)
tslv = psb_wtime() - t1
call psb_amx(ctxt,tslv)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='solver routine'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_barrier(ctxt)
tslv = psb_wtime() - t1
call psb_amx(ctxt,tslv)
! compute residual norms
call psb_geall(r,desc_a,info)
call r%zero()
call psb_geasb(r,desc_a,info)
call psb_geaxpby(sone,b,szero,r,desc_a,info)
call psb_spmm(-sone,a,x,sone,r,desc_a,info)
resmx = psb_genrm2(r,desc_a,info)
resmxp = psb_geamax(r,desc_a,info)
vecsize = x%sizeof()
amatsize = a%sizeof()
descsize = desc_a%sizeof()
precsize = prec%sizeof()
system_size = desc_a%get_global_rows()
call psb_sum(ctxt,vecsize)
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,'("Computed solution on ",i8," process(es)")') np
write(psb_out_unit,'("Number of threads : ",i12)') nth
write(psb_out_unit,'("Total number of tasks : ",i12)') nth*np
write(psb_out_unit,'("Discretization domain size : ",i12)') idim
write(psb_out_unit,'("Linear system size : ",i12)') system_size
write(psb_out_unit,'("PDE Coefficients : ",a)') trim(pdecoeff)
write(psb_out_unit,'("Problem setup time : ",es12.5)') tpgen
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)') tsmth
write(psb_out_unit,'("Total preconditioner setup time : ",es12.5)') tsmth+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 X : ",i16)') vecsize
write(psb_out_unit,'("Total memory occupation for A : ",i16)') amatsize
write(psb_out_unit,'("Total memory occupation for DESC_A : ",i16)') descsize
write(psb_out_unit,'("Total memory occupation for PREC : ",i16)') precsize
write(psb_out_unit,'("Total memory occupation : ",i16)') &
& amatsize + descsize+precsize+2*vecsize
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()
end if
!
! cleanup storage and exit
!
call psb_gefree(b,desc_a,info)
call psb_gefree(x,desc_a,info)
call psb_spfree(a,desc_a,info)
call prec%free(info)
call psb_cdfree(desc_a,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='free routine'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_exit(ctxt)
stop
9999 continue
call psb_error(ctxt)
contains
!
! get iteration parameters from standard input
!
!
! get iteration parameters from standard input
!
subroutine get_parms(ctxt,afmt,idim,solve,prec,pdecoeff)
implicit none
type(psb_ctxt_type) :: ctxt
integer(psb_ipk_) :: idim
character(len=*) :: afmt
type(solverdata) :: solve
type(precdata) :: prec
character(len=*) :: pdecoeff
integer(psb_ipk_) :: iam, nm, np, inp_unit
character(len=1024) :: filename
call psb_info(ctxt,iam,np)
if (iam == psb_root_) then
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
write(psb_err_unit,*) 'Usage: amg_s_pde2d ctrl-file '
call psb_abort(ctxt)
stop
end if
! read input data
!
call read_data(afmt,inp_unit) ! matrix storage format
call read_data(idim,inp_unit) ! Discretization grid size
call read_data(pdecoeff,inp_unit) ! PDE Coefficients
! 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%degree,inp_unit) ! (pre-)smoother / 1-lev prec sweeps
call read_data(prec%pvariant,inp_unit) !
call read_data(prec%prhovariant,inp_unit)! how to estimate rho(M^{-1}A)
call read_data(prec%prhovalue,inp_unit) ! if previous is set value, we set it from this one
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%ssweeps,inp_unit) ! inner solver sweeps
call read_data(prec%variant,inp_unit) ! AINV variant
call read_data(prec%fill,inp_unit) ! fill-in for incomplete LU
call read_data(prec%invfill,inp_unit) !Inverse fill-in for INVK
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%degree2,inp_unit) ! (post-)smoother sweeps
call read_data(prec%pvariant2,inp_unit) !
call read_data(prec%prhovariant2,inp_unit)! how to estimate rho(M^{-1}A)
call read_data(prec%prhovalue2,inp_unit) ! if previous is set value, we set it from this one
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%ssweeps2,inp_unit) ! inner solver sweeps
call read_data(prec%variant2,inp_unit) ! AINV variant
call read_data(prec%fill2,inp_unit) ! fill-in for incomplete LU
call read_data(prec%invfill2,inp_unit) !Inverse fill-in for INVK
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%csizepp,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_type,inp_unit) ! type of aggregation
call read_data(prec%aggr_size,inp_unit) ! Requested size of the aggregates for MATCHBOXP
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
! Krylov method for coarsest level
call read_data(prec%krm_method,inp_unit) ! Krylov method for coarsest level
call read_data(prec%krm_prec,inp_unit) ! Preconditioner for coarsest level
call read_data(prec%krm_subsolve,inp_unit) ! Subsolver for coarsest level
call read_data(prec%krm_global,inp_unit) ! Is the solver global or local? TRUE or FALSE
call read_data(prec%krm_eps,inp_unit) ! Stopping tolerance
call read_data(prec%krm_irst,inp_unit) ! Restart for Krylov method
call read_data(prec%krm_istop,inp_unit) ! Stopping criterion
call read_data(prec%krm_itmax,inp_unit) ! Maximum number of iterations
call read_data(prec%krm_itrace,inp_unit) ! Trace of the lower Krylov iterations
call read_data(prec%krm_fillin,inp_unit) ! Fill-in for incomplete LU factorization
! dump
call read_data(prec%dump,inp_unit) ! Dump on file?
call read_data(prec%dlmin,inp_unit) ! Minimum level to dump
call read_data(prec%dlmax,inp_unit) ! Maximum level to dump
call read_data(prec%dump_ac,inp_unit)
call read_data(prec%dump_rp,inp_unit)
call read_data(prec%dump_tprol,inp_unit)
call read_data(prec%dump_smoother,inp_unit)
call read_data(prec%dump_solver,inp_unit)
call read_data(prec%dump_global_num,inp_unit)
if (inp_unit /= psb_inp_unit) then
close(inp_unit)
end if
end if
call psb_bcast(ctxt,afmt)
call psb_bcast(ctxt,idim)
call psb_bcast(ctxt,pdecoeff)
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%degree)
call psb_bcast(ctxt,prec%pvariant)
call psb_bcast(ctxt,prec%prhovariant)
call psb_bcast(ctxt,prec%prhovalue)
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%ssweeps)
call psb_bcast(ctxt,prec%variant)
call psb_bcast(ctxt,prec%fill)
call psb_bcast(ctxt,prec%invfill)
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%degree2)
call psb_bcast(ctxt,prec%pvariant2)
call psb_bcast(ctxt,prec%prhovariant2)
call psb_bcast(ctxt,prec%prhovalue2)
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%ssweeps2)
call psb_bcast(ctxt,prec%variant2)
call psb_bcast(ctxt,prec%fill2)
call psb_bcast(ctxt,prec%invfill2)
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%csizepp)
call psb_bcast(ctxt,prec%aggr_prol)
call psb_bcast(ctxt,prec%par_aggr_alg)
call psb_bcast(ctxt,prec%aggr_type)
call psb_bcast(ctxt,prec%aggr_size)
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%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)
! Krylov method for coarsest level (broadcast)
call psb_bcast(ctxt,prec%krm_method)
call psb_bcast(ctxt,prec%krm_prec)
call psb_bcast(ctxt,prec%krm_subsolve)
call psb_bcast(ctxt,prec%krm_global)
call psb_bcast(ctxt,prec%krm_eps)
call psb_bcast(ctxt,prec%krm_irst)
call psb_bcast(ctxt,prec%krm_istop)
call psb_bcast(ctxt,prec%krm_itmax)
call psb_bcast(ctxt,prec%krm_itrace)
call psb_bcast(ctxt,prec%krm_fillin)
! dump
call psb_bcast(ctxt,prec%dump)
call psb_bcast(ctxt,prec%dlmin)
call psb_bcast(ctxt,prec%dlmax)
call psb_bcast(ctxt,prec%dump_ac)
call psb_bcast(ctxt,prec%dump_rp)
call psb_bcast(ctxt,prec%dump_tprol)
call psb_bcast(ctxt,prec%dump_smoother)
call psb_bcast(ctxt,prec%dump_solver)
call psb_bcast(ctxt,prec%dump_global_num)
end subroutine get_parms
end program amg_s_pde2d

@ -0,0 +1,89 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_s_pde2d_box_mod
use psb_base_mod, only : psb_spk_, szero, sone
real(psb_spk_), save, private :: epsilon=sone/80
contains
subroutine pde_set_parm2d_box(dat)
real(psb_spk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm2d_box
!
! functions parametrizing the differential equation
!
function b1_box(x,y)
implicit none
real(psb_spk_) :: b1_box
real(psb_spk_), intent(in) :: x,y
b1_box = sone/1.414_psb_spk_
end function b1_box
function b2_box(x,y)
implicit none
real(psb_spk_) :: b2_box
real(psb_spk_), intent(in) :: x,y
b2_box = sone/1.414_psb_spk_
end function b2_box
function c_box(x,y)
implicit none
real(psb_spk_) :: c_box
real(psb_spk_), intent(in) :: x,y
c_box = szero
end function c_box
function a1_box(x,y)
implicit none
real(psb_spk_) :: a1_box
real(psb_spk_), intent(in) :: x,y
a1_box=sone*epsilon
end function a1_box
function a2_box(x,y)
implicit none
real(psb_spk_) :: a2_box
real(psb_spk_), intent(in) :: x,y
a2_box=sone*epsilon
end function a2_box
function g_box(x,y)
implicit none
real(psb_spk_) :: g_box
real(psb_spk_), intent(in) :: x,y
g_box = szero
if (x == sone) then
g_box = sone
else if (x == szero) then
g_box = sone
end if
end function g_box
end module amg_s_pde2d_box_mod

@ -0,0 +1,89 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_s_pde2d_exp_mod
use psb_base_mod, only : psb_spk_, sone, szero
real(psb_spk_), save, private :: epsilon=sone/80
contains
subroutine pde_set_parm2d_exp(dat)
real(psb_spk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm2d_exp
!
! functions parametrizing the differential equation
!
function b1_exp(x,y)
implicit none
real(psb_spk_) :: b1_exp
real(psb_spk_), intent(in) :: x,y
b1_exp = szero
end function b1_exp
function b2_exp(x,y)
implicit none
real(psb_spk_) :: b2_exp
real(psb_spk_), intent(in) :: x,y
b2_exp = szero
end function b2_exp
function c_exp(x,y)
implicit none
real(psb_spk_) :: c_exp
real(psb_spk_), intent(in) :: x,y
c_exp = szero
end function c_exp
function a1_exp(x,y)
implicit none
real(psb_spk_) :: a1_exp
real(psb_spk_), intent(in) :: x,y
a1_exp=sone*epsilon*exp(-(x+y))
end function a1_exp
function a2_exp(x,y)
implicit none
real(psb_spk_) :: a2_exp
real(psb_spk_), intent(in) :: x,y
a2_exp=sone*epsilon*exp(-(x+y))
end function a2_exp
function g_exp(x,y)
implicit none
real(psb_spk_) :: g_exp
real(psb_spk_), intent(in) :: x,y
g_exp = szero
if (x == sone) then
g_exp = sone
else if (x == szero) then
g_exp = sone
end if
end function g_exp
end module amg_s_pde2d_exp_mod

@ -0,0 +1,89 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_s_pde2d_gauss_mod
use psb_base_mod, only : psb_spk_, sone, szero
real(psb_spk_), save, private :: epsilon=sone/80
contains
subroutine pde_set_parm2d_gauss(dat)
real(psb_spk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm2d_gauss
!
! functions parametrizing the differential equation
!
function b1_gauss(x,y)
implicit none
real(psb_spk_) :: b1_gauss
real(psb_spk_), intent(in) :: x,y
b1_gauss=sone/sqrt(3.0_psb_spk_)-2*x*exp(-(x**2+y**2))
end function b1_gauss
function b2_gauss(x,y)
implicit none
real(psb_spk_) :: b2_gauss
real(psb_spk_), intent(in) :: x,y
b2_gauss=sone/sqrt(3.0_psb_spk_)-2*y*exp(-(x**2+y**2))
end function b2_gauss
function c_gauss(x,y)
implicit none
real(psb_spk_) :: c_gauss
real(psb_spk_), intent(in) :: x,y
c_gauss=szero
end function c_gauss
function a1_gauss(x,y)
implicit none
real(psb_spk_) :: a1_gauss
real(psb_spk_), intent(in) :: x,y
a1_gauss=epsilon*exp(-(x**2+y**2))
end function a1_gauss
function a2_gauss(x,y)
implicit none
real(psb_spk_) :: a2_gauss
real(psb_spk_), intent(in) :: x,y
a2_gauss=epsilon*exp(-(x**2+y**2))
end function a2_gauss
function g_gauss(x,y)
implicit none
real(psb_spk_) :: g_gauss
real(psb_spk_), intent(in) :: x,y
g_gauss = szero
if (x == sone) then
g_gauss = sone
else if (x == szero) then
g_gauss = sone
end if
end function g_gauss
end module amg_s_pde2d_gauss_mod

@ -0,0 +1,89 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_s_pde2d_poisson_mod
use psb_base_mod, only : psb_spk_, szero, sone
real(psb_spk_), save, private :: epsilon=sone/80
contains
subroutine pde_set_parm2d_poisson(dat)
real(psb_spk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm2d_poisson
!
! functions parametrizing the differential equation
!
function b1_poisson(x,y)
implicit none
real(psb_spk_) :: b1_poisson
real(psb_spk_), intent(in) :: x,y
b1_poisson = szero
end function b1_poisson
function b2_poisson(x,y)
implicit none
real(psb_spk_) :: b2_poisson
real(psb_spk_), intent(in) :: x,y
b2_poisson = szero
end function b2_poisson
function c_poisson(x,y)
implicit none
real(psb_spk_) :: c_poisson
real(psb_spk_), intent(in) :: x,y
c_poisson = szero
end function c_poisson
function a1_poisson(x,y)
implicit none
real(psb_spk_) :: a1_poisson
real(psb_spk_), intent(in) :: x,y
a1_poisson=sone*epsilon
end function a1_poisson
function a2_poisson(x,y)
implicit none
real(psb_spk_) :: a2_poisson
real(psb_spk_), intent(in) :: x,y
a2_poisson=sone*epsilon
end function a2_poisson
function g_poisson(x,y)
implicit none
real(psb_spk_) :: g_poisson
real(psb_spk_), intent(in) :: x,y
g_poisson = szero
if (x == sone) then
g_poisson = sone
else if (x == szero) then
g_poisson = sone
end if
end function g_poisson
end module amg_s_pde2d_poisson_mod

@ -0,0 +1,848 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
!
! File: amg_s_pde3d.f90
!
! Program: amg_s_pde3d
! This sample program solves a linear system obtained by discretizing a
! PDE with Dirichlet BCs.
!
!
! The PDE is a general second order equation in 3d
!
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
! dxdx dydy dzdz dx dy dz
!
! with Dirichlet boundary conditions
! u = g
!
! on the unit cube 0<=x,y,z<=1.
!
!
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
!
! There are three choices available for data distribution:
! 1. A simple BLOCK distribution
! 2. A ditribution based on arbitrary assignment of indices to processes,
! typically from a graph partitioner
! 3. A 3D distribution in which the unit cube is partitioned
! into subcubes, each one assigned to a process.
!
program amg_s_pde3d
use psb_base_mod
use amg_prec_mod
use psb_linsolve_mod
use psb_util_mod
use data_input
use amg_s_pde3d_poisson_mod
use amg_s_pde3d_exp_mod
use amg_s_pde3d_box_mod
use amg_s_pde3d_gauss_mod
use amg_s_genpde_mod
#if defined(PSB_OPENMP)
use omp_lib
#endif
implicit none
! input parameters
character(len=20) :: kmethd, ptype
character(len=5) :: afmt
character(len=32) :: pdecoeff
integer(psb_ipk_) :: idim
integer(psb_epk_) :: system_size
! miscellaneous
real(psb_dpk_) :: t1, t2, tprec, thier, tslv, tsmth, tpgen
! sparse matrix and preconditioner
type(psb_sspmat_type) :: a
type(amg_sprec_type) :: prec
! descriptor
type(psb_desc_type) :: desc_a
! dense vectors
type(psb_s_vect_type) :: x,b,r
! parallel environment
type(psb_ctxt_type) :: ctxt
integer(psb_ipk_) :: iam, np, nth
! solver parameters
integer(psb_ipk_) :: iter, itmax,itrace, istopc, irst, nlv
integer(psb_epk_) :: amatsize, precsize, descsize, vecsize
real(psb_spk_) :: err, resmx, resmxp
! Solver data
type solverdata
character(len=40) :: kmethd ! Iterative solver
integer(psb_ipk_) :: istopc ! stopping criterion
integer(psb_ipk_) :: itmax ! maximum number of iterations
integer(psb_ipk_) :: itrace ! tracing
integer(psb_ipk_) :: irst ! restart
real(psb_spk_) :: eps ! stopping tolerance
end type solverdata
type(solverdata) :: s_choice
! preconditioner data
type precdata
! preconditioner type
character(len=40) :: descr ! verbose description of the prec
character(len=10) :: ptype ! preconditioner type
integer(psb_ipk_) :: outer_sweeps ! number of outer sweeps: sweeps for 1-level,
! AMG cycles for ML
! general AMG data
character(len=32) :: mlcycle ! AMG cycle type
integer(psb_ipk_) :: maxlevs ! maximum number of levels in AMG preconditioner
! AMG aggregation
character(len=32) :: aggr_prol ! aggregation type: SMOOTHED, NONSMOOTHED
character(len=32) :: par_aggr_alg ! parallel aggregation algorithm: DEC, SYMDEC
character(len=32) :: aggr_type ! Type of aggregation SOC1, SOC2, MATCHBOXP
integer(psb_ipk_) :: aggr_size ! Requested size of the aggregates for MATCHBOXP
character(len=32) :: aggr_ord ! ordering for aggregation: NATURAL, DEGREE
character(len=32) :: aggr_filter ! filtering: FILTER, NO_FILTER
real(psb_spk_) :: mncrratio ! minimum aggregation ratio
real(psb_spk_), allocatable :: athresv(:) ! smoothed aggregation threshold vector
integer(psb_ipk_) :: thrvsz ! size of threshold vector
real(psb_spk_) :: athres ! smoothed aggregation threshold
integer(psb_ipk_) :: csizepp ! minimum size of coarsest matrix per process
! AMG smoother or pre-smoother; also 1-lev preconditioner
character(len=32) :: smther ! (pre-)smoother type: BJAC, AS
integer(psb_ipk_) :: jsweeps ! (pre-)smoother / 1-lev prec. sweeps
integer(psb_ipk_) :: degree ! degree for polynomial smoother
character(len=32) :: pvariant ! polynomial variant
character(len=32) :: prhovariant ! how to estimate rho(M^{-1}A)
real(psb_spk_) :: prhovalue ! if previous is set value, we set it from this one
integer(psb_ipk_) :: novr ! number of overlap layers
character(len=32) :: restr ! restriction over application of AS
character(len=32) :: prol ! prolongation over application of AS
character(len=32) :: solve ! local subsolver type: ILU, MILU, ILUT,
! UMF, MUMPS, SLU, FWGS, BWGS, JAC
integer(psb_ipk_) :: ssweeps ! inner solver sweeps
character(len=32) :: variant ! AINV variant: LLK, etc
integer(psb_ipk_) :: fill ! fill-in for incomplete LU factorization
integer(psb_ipk_) :: invfill ! Inverse fill-in for INVK
real(psb_spk_) :: thr ! threshold for ILUT factorization
! AMG post-smoother; ignored by 1-lev preconditioner
character(len=32) :: smther2 ! post-smoother type: BJAC, AS
integer(psb_ipk_) :: jsweeps2 ! post-smoother sweeps
integer(psb_ipk_) :: degree2 ! degree for polynomial smoother
character(len=32) :: pvariant2 ! polynomial variant
character(len=32) :: prhovariant2 ! how to estimate rho(M^{-1}A)
real(psb_spk_) :: prhovalue2 ! if previous is set value, we set it from this one
integer(psb_ipk_) :: novr2 ! number of overlap layers
character(len=32) :: restr2 ! restriction over application of AS
character(len=32) :: prol2 ! prolongation over application of AS
character(len=32) :: solve2 ! local subsolver type: ILU, MILU, ILUT,
! UMF, MUMPS, SLU, FWGS, BWGS, JAC
integer(psb_ipk_) :: ssweeps2 ! inner solver sweeps
character(len=32) :: variant2 ! AINV variant: LLK, etc
integer(psb_ipk_) :: fill2 ! fill-in for incomplete LU factorization
integer(psb_ipk_) :: invfill2 ! Inverse fill-in for INVK
real(psb_spk_) :: thr2 ! threshold for ILUT factorization
! coarsest-level solver
character(len=32) :: cmat ! coarsest matrix layout: REPL, DIST
character(len=32) :: csolve ! coarsest-lev solver: BJAC, SLUDIST (distr.
! mat.); UMF, MUMPS, SLU, ILU, ILUT, MILU
! (repl. mat.)
character(len=32) :: csbsolve ! coarsest-lev local subsolver: ILU, ILUT,
! MILU, UMF, MUMPS, SLU
integer(psb_ipk_) :: cfill ! fill-in for incomplete LU factorization
real(psb_spk_) :: cthres ! threshold for ILUT factorization
integer(psb_ipk_) :: cjswp ! sweeps for GS or JAC coarsest-lev subsolver
! settings for the Krylov method
character(len=16) :: krm_method ! Krylov method for coarsest level
character(len=16) :: krm_prec ! Preconditioner for coarsest level
character(len=16) :: krm_subsolve ! Subsolver for coarsest level
character(len=16) :: krm_global ! Is the solver global or local? TRUE or FALSE
real(psb_spk_) :: krm_eps ! Stopping tolerance
integer(psb_ipk_) :: krm_irst ! Restart for Krylov method
integer(psb_ipk_) :: krm_istop ! Stopping criterion
integer(psb_ipk_) :: krm_itmax ! Maximum number of iterations
integer(psb_ipk_) :: krm_itrace ! Trace of the lower Krylov iterations
integer(psb_ipk_) :: krm_fillin ! Fill-in for incomplete LU factorization
! Dump data
logical :: dump = .false.
integer(psb_ipk_) :: dlmin ! Minimum level to dump
integer(psb_ipk_) :: dlmax ! Maximum level to dump
logical :: dump_ac = .false.
logical :: dump_rp = .false.
logical :: dump_tprol = .false.
logical :: dump_smoother = .false.
logical :: dump_solver = .false.
logical :: dump_global_num = .false.
end type precdata
type(precdata) :: p_choice
! other variables
integer(psb_ipk_) :: info, i, k
character(len=20) :: name,ch_err
info=psb_success_
call psb_init(ctxt)
call psb_info(ctxt,iam,np)
#if defined(PSB_OPENMP)
!$OMP parallel shared(nth)
!$OMP master
nth = omp_get_num_threads()
!$OMP end master
!$OMP end parallel
#else
nth = 1
#endif
if (iam < 0) then
! This should not happen, but just in case
call psb_exit(ctxt)
stop
endif
if(psb_get_errstatus() /= 0) goto 9999
name='amg_s_pde3d'
call psb_set_errverbosity(itwo)
!
! Hello world
!
if (iam == psb_root_) then
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
write(*,*) 'This is the ',trim(name),' sample program'
end if
!
! get parameters
!
call get_parms(ctxt,afmt,idim,s_choice,p_choice,pdecoeff)
!
! allocate and fill in the coefficient matrix, rhs and initial guess
!
call psb_barrier(ctxt)
t1 = psb_wtime()
select case(psb_toupper(trim(pdecoeff)))
case("POISSON")
call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_poisson,a2_poisson,a3_poisson,&
& b1_poisson,b2_poisson,b3_poisson,c_poisson,g_poisson,info)
case("EXP")
call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_exp,a2_exp,a3_exp,&
& b1_exp,b2_exp,b3_exp,c_exp,g_exp,info)
case("BOX")
call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_box,a2_box,a3_box,&
& b1_box,b2_box,b3_box,c_box,g_box,info)
case("GAUSS")
call amg_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
& a1_gauss,a2_gauss,a3_gauss,&
& b1_gauss,b2_gauss,b3_gauss,c_gauss,g_gauss,info)
case default
info=psb_err_from_subroutine_
ch_err='amg_gen_pdecoeff'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end select
call psb_barrier(ctxt)
tpgen = psb_wtime() - t1
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='amg_gen_pde3d'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
if (iam == psb_root_) &
& write(psb_out_unit,'("PDE Coefficients : ",a)')pdecoeff
if (iam == psb_root_) &
& write(psb_out_unit,'("Overall matrix creation time : ",es12.5)')tpgen
if (iam == psb_root_) &
& write(psb_out_unit,'(" ")')
!
! initialize the preconditioner
!
call prec%init(ctxt,p_choice%ptype,info)
select case(trim(psb_toupper(p_choice%ptype)))
case ('NONE','NOPREC')
! Do nothing, keep defaults
case ('JACOBI','L1-JACOBI','GS','FWGS','FBGS')
! 1-level sweeps from "outer_sweeps"
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
case ('BJAC','POLY')
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
call prec%set('sub_solve', p_choice%solve, info)
call prec%set('solver_sweeps', p_choice%ssweeps, info)
call prec%set('poly_degree', p_choice%degree, info)
call prec%set('poly_variant', p_choice%pvariant, info)
if (psb_toupper(p_choice%solve)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('sub_iluthrs', p_choice%thr, info)
case('AS')
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
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('solver_sweeps', p_choice%ssweeps, info)
if (psb_toupper(p_choice%solve)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('sub_iluthrs', p_choice%thr, info)
case ('ML')
! multilevel preconditioner
call prec%set('ml_cycle', p_choice%mlcycle, info)
call prec%set('outer_sweeps', p_choice%outer_sweeps,info)
if (p_choice%csizepp>0)&
& call prec%set('min_coarse_size_per_process', p_choice%csizepp, info)
if (p_choice%mncrratio>1)&
& call prec%set('min_cr_ratio', p_choice%mncrratio, info)
if (p_choice%maxlevs>0)&
& call prec%set('max_levs', p_choice%maxlevs, info)
if (p_choice%athres >= dzero) &
& call prec%set('aggr_thresh', p_choice%athres, info)
if (p_choice%thrvsz>0) then
do k=1,min(p_choice%thrvsz,size(prec%precv)-1)
call prec%set('aggr_thresh', p_choice%athresv(k), info,ilev=(k+1))
end do
end if
call prec%set('aggr_prol', p_choice%aggr_prol, info)
call prec%set('par_aggr_alg', p_choice%par_aggr_alg, info)
call prec%set('aggr_type', p_choice%aggr_type, info)
call prec%set('aggr_size', p_choice%aggr_size, info)
call prec%set('aggr_ord', p_choice%aggr_ord, info)
call prec%set('aggr_filter', p_choice%aggr_filter,info)
call prec%set('smoother_type', p_choice%smther, info)
call prec%set('smoother_sweeps', p_choice%jsweeps, info)
call prec%set('poly_degree', p_choice%degree, info)
call prec%set('poly_variant', p_choice%pvariant, info)
if (p_choice%prhovalue > szero ) then
call prec%set('poly_rho_ba', p_choice%prhovalue, info)
else
call prec%set('poly_rho_estimate', p_choice%prhovariant, info)
end if
select case (psb_toupper(p_choice%smther))
case ('GS','BWGS','FBGS','JACOBI','L1-JACOBI','L1-FBGS')
! 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)
select case(trim(psb_toupper(p_choice%solve)))
case('INVK')
call prec%set('sub_solve', p_choice%solve, info)
case('INVT')
call prec%set('sub_solve', p_choice%solve, info)
case('AINV')
call prec%set('sub_solve', p_choice%solve, info)
call prec%set('ainv_alg', p_choice%variant, info)
case default
call prec%set('sub_solve', p_choice%solve, info)
if (psb_toupper(p_choice%solve)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
end select
call prec%set('solver_sweeps', p_choice%ssweeps, info)
call prec%set('sub_fillin', p_choice%fill, info)
call prec%set('inv_fillin', p_choice%invfill, 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')
call prec%set('poly_degree', p_choice%degree2, info,pos='post')
call prec%set('poly_variant', p_choice%pvariant2, info,pos='post')
if (p_choice%prhovalue > szero ) then
call prec%set('poly_rho_ba', p_choice%prhovalue2, info,pos='post')
else
call prec%set('poly_rho_estimate', p_choice%prhovariant2, info,pos='post')
end if
select case (psb_toupper(p_choice%smther2))
case ('GS','BWGS','FBGS','JACOBI','L1-JACOBI','L1-FBGS')
! 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')
select case(trim(psb_toupper(p_choice%solve2)))
case('INVK')
call prec%set('sub_solve', p_choice%solve2, info)
case('INVT')
call prec%set('sub_solve', p_choice%solve2, info)
case('AINV')
call prec%set('sub_solve', p_choice%solve2, info)
call prec%set('ainv_alg', p_choice%variant2, info)
case default
call prec%set('sub_solve', p_choice%solve2, info, pos='post')
if (psb_toupper(p_choice%solve2)=='MUMPS') &
& call prec%set('mumps_loc_glob','local_solver',info)
end select
call prec%set('solver_sweeps', p_choice%ssweeps2, info,pos='post')
call prec%set('sub_fillin', p_choice%fill2, info,pos='post')
call prec%set('inv_fillin', p_choice%invfill2, 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)
call prec%set('coarse_mat', p_choice%cmat, info)
! Set for the case of a KRM solver
if (psb_toupper(p_choice%csolve) == 'KRM') then
call prec%set('krm_method', p_choice%krm_method, info)
call prec%set('krm_kprec', p_choice%krm_prec, info)
call prec%set('krm_sub_solve', p_choice%krm_subsolve, info)
call prec%set('krm_global', p_choice%krm_global, info)
call prec%set('krm_eps', p_choice%krm_eps, info)
call prec%set('krm_irst', p_choice%krm_irst, info)
call prec%set('krm_istopc', p_choice%krm_istop, info)
call prec%set('krm_itmax', p_choice%krm_itmax, info)
call prec%set('krm_itrace', p_choice%krm_itrace, info)
call prec%set('krm_fillin', p_choice%krm_fillin, info)
else
if (psb_toupper(p_choice%csolve) == 'BJAC') &
& call prec%set('coarse_subsolve', p_choice%csbsolve, 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 if
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)
tsmth = 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
if (p_choice%dump) then
call prec%dump(info,istart=p_choice%dlmin,iend=p_choice%dlmax,&
& ac=p_choice%dump_ac,rp=p_choice%dump_rp,tprol=p_choice%dump_tprol,&
& smoother=p_choice%dump_smoother, solver=p_choice%dump_solver, &
& global_num=p_choice%dump_global_num)
end if
!
! iterative method parameters
!
call psb_barrier(ctxt)
t1 = psb_wtime()
select case(psb_toupper(trim(s_choice%kmethd)))
case('RICHARDSON')
call psb_richardson(a,prec,b,x,s_choice%eps,&
& desc_a,info,itmax=s_choice%itmax,iter=iter,&
& err=err,itrace=s_choice%itrace,&
& istop=s_choice%istopc)
case('BICGSTAB','BICGSTABL','BICG','CG','CGS','FCG','GCR','RGMRES')
call psb_krylov(s_choice%kmethd,a,prec,b,x,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)
case default
write(psb_err_unit,*) 'Unknown method :"',trim(s_choice%kmethd),'"'
info=psb_err_invalid_input_
call psb_errpush(info,name)
goto 9999
end select
call psb_barrier(ctxt)
tslv = psb_wtime() - t1
call psb_amx(ctxt,tslv)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='solver routine'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_barrier(ctxt)
tslv = psb_wtime() - t1
call psb_amx(ctxt,tslv)
! compute residual norms
call psb_geall(r,desc_a,info)
call r%zero()
call psb_geasb(r,desc_a,info)
call psb_geaxpby(sone,b,szero,r,desc_a,info)
call psb_spmm(-sone,a,x,sone,r,desc_a,info)
resmx = psb_genrm2(r,desc_a,info)
resmxp = psb_geamax(r,desc_a,info)
vecsize = x%sizeof()
amatsize = a%sizeof()
descsize = desc_a%sizeof()
precsize = prec%sizeof()
system_size = desc_a%get_global_rows()
call psb_sum(ctxt,vecsize)
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,'("Computed solution on ",i8," process(es)")') np
write(psb_out_unit,'("Number of threads : ",i12)') nth
write(psb_out_unit,'("Total number of tasks : ",i12)') nth*np
write(psb_out_unit,'("Discretization domain size : ",i12)') idim
write(psb_out_unit,'("Linear system size : ",i12)') system_size
write(psb_out_unit,'("PDE Coefficients : ",a)') trim(pdecoeff)
write(psb_out_unit,'("Problem setup time : ",es12.5)') tpgen
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)') tsmth
write(psb_out_unit,'("Total preconditioner setup time : ",es12.5)') tsmth+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 X : ",i16)') vecsize
write(psb_out_unit,'("Total memory occupation for A : ",i16)') amatsize
write(psb_out_unit,'("Total memory occupation for DESC_A : ",i16)') descsize
write(psb_out_unit,'("Total memory occupation for PREC : ",i16)') precsize
write(psb_out_unit,'("Total memory occupation : ",i16)') &
& amatsize + descsize+precsize+2*vecsize
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()
end if
! call psb_print_timers(ctxt)
!
! cleanup storage and exit
!
call psb_gefree(b,desc_a,info)
call psb_gefree(x,desc_a,info)
call psb_spfree(a,desc_a,info)
call prec%free(info)
call psb_cdfree(desc_a,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='free routine'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_exit(ctxt)
stop
9999 continue
call psb_error(ctxt)
contains
!
! get iteration parameters from standard input
!
!
! get iteration parameters from standard input
!
subroutine get_parms(ctxt,afmt,idim,solve,prec,pdecoeff)
implicit none
type(psb_ctxt_type) :: ctxt
integer(psb_ipk_) :: idim
character(len=*) :: afmt
type(solverdata) :: solve
type(precdata) :: prec
character(len=*) :: pdecoeff
integer(psb_ipk_) :: iam, nm, np, inp_unit
character(len=1024) :: filename
call psb_info(ctxt,iam,np)
if (iam == psb_root_) then
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
write(psb_err_unit,*) 'Usage: amg_s_pde3d ctrl-file '
call psb_abort(ctxt)
stop
end if
! read input data
!
call read_data(afmt,inp_unit) ! matrix storage format
call read_data(idim,inp_unit) ! Discretization grid size
call read_data(pdecoeff,inp_unit) ! PDE Coefficients
! 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%degree,inp_unit) ! (pre-)smoother / 1-lev prec sweeps
call read_data(prec%pvariant,inp_unit) !
call read_data(prec%prhovariant,inp_unit)! how to estimate rho(M^{-1}A)
call read_data(prec%prhovalue,inp_unit) ! if previous is set value, we set it from this one
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%ssweeps,inp_unit) ! inner solver sweeps
call read_data(prec%variant,inp_unit) ! AINV variant
call read_data(prec%fill,inp_unit) ! fill-in for incomplete LU
call read_data(prec%invfill,inp_unit) !Inverse fill-in for INVK
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%degree2,inp_unit) ! (post-)smoother sweeps
call read_data(prec%pvariant2,inp_unit) !
call read_data(prec%prhovariant2,inp_unit)! how to estimate rho(M^{-1}A)
call read_data(prec%prhovalue2,inp_unit) ! if previous is set value, we set it from this one
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%ssweeps2,inp_unit) ! inner solver sweeps
call read_data(prec%variant2,inp_unit) ! AINV variant
call read_data(prec%fill2,inp_unit) ! fill-in for incomplete LU
call read_data(prec%invfill2,inp_unit) !Inverse fill-in for INVK
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%csizepp,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_type,inp_unit) ! type of aggregation
call read_data(prec%aggr_size,inp_unit) ! Requested size of the aggregates for MATCHBOXP
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
! Krylov method for coarsest level
call read_data(prec%krm_method,inp_unit) ! Krylov method for coarsest level
call read_data(prec%krm_prec,inp_unit) ! Preconditioner for coarsest level
call read_data(prec%krm_subsolve,inp_unit) ! Subsolver for coarsest level
call read_data(prec%krm_global,inp_unit) ! Is the solver global or local? TRUE or FALSE
call read_data(prec%krm_eps,inp_unit) ! Stopping tolerance
call read_data(prec%krm_irst,inp_unit) ! Restart for Krylov method
call read_data(prec%krm_istop,inp_unit) ! Stopping criterion
call read_data(prec%krm_itmax,inp_unit) ! Maximum number of iterations
call read_data(prec%krm_itrace,inp_unit) ! Trace of the lower Krylov iterations
call read_data(prec%krm_fillin,inp_unit) ! Fill-in for incomplete LU factorization
! dump
call read_data(prec%dump,inp_unit) ! Dump on file?
call read_data(prec%dlmin,inp_unit) ! Minimum level to dump
call read_data(prec%dlmax,inp_unit) ! Maximum level to dump
call read_data(prec%dump_ac,inp_unit)
call read_data(prec%dump_rp,inp_unit)
call read_data(prec%dump_tprol,inp_unit)
call read_data(prec%dump_smoother,inp_unit)
call read_data(prec%dump_solver,inp_unit)
call read_data(prec%dump_global_num,inp_unit)
if (inp_unit /= psb_inp_unit) then
close(inp_unit)
end if
end if
call psb_bcast(ctxt,afmt)
call psb_bcast(ctxt,idim)
call psb_bcast(ctxt,pdecoeff)
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%degree)
call psb_bcast(ctxt,prec%pvariant)
call psb_bcast(ctxt,prec%prhovariant)
call psb_bcast(ctxt,prec%prhovalue)
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%ssweeps)
call psb_bcast(ctxt,prec%variant)
call psb_bcast(ctxt,prec%fill)
call psb_bcast(ctxt,prec%invfill)
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%degree2)
call psb_bcast(ctxt,prec%pvariant2)
call psb_bcast(ctxt,prec%prhovariant2)
call psb_bcast(ctxt,prec%prhovalue2)
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%ssweeps2)
call psb_bcast(ctxt,prec%variant2)
call psb_bcast(ctxt,prec%fill2)
call psb_bcast(ctxt,prec%invfill2)
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%csizepp)
call psb_bcast(ctxt,prec%aggr_prol)
call psb_bcast(ctxt,prec%par_aggr_alg)
call psb_bcast(ctxt,prec%aggr_type)
call psb_bcast(ctxt,prec%aggr_size)
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%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)
! Krylov method for coarsest level (broadcast)
call psb_bcast(ctxt,prec%krm_method)
call psb_bcast(ctxt,prec%krm_prec)
call psb_bcast(ctxt,prec%krm_subsolve)
call psb_bcast(ctxt,prec%krm_global)
call psb_bcast(ctxt,prec%krm_eps)
call psb_bcast(ctxt,prec%krm_irst)
call psb_bcast(ctxt,prec%krm_istop)
call psb_bcast(ctxt,prec%krm_itmax)
call psb_bcast(ctxt,prec%krm_itrace)
call psb_bcast(ctxt,prec%krm_fillin)
! dump
call psb_bcast(ctxt,prec%dump)
call psb_bcast(ctxt,prec%dlmin)
call psb_bcast(ctxt,prec%dlmax)
call psb_bcast(ctxt,prec%dump_ac)
call psb_bcast(ctxt,prec%dump_rp)
call psb_bcast(ctxt,prec%dump_tprol)
call psb_bcast(ctxt,prec%dump_smoother)
call psb_bcast(ctxt,prec%dump_solver)
call psb_bcast(ctxt,prec%dump_global_num)
end subroutine get_parms
end program amg_s_pde3d

@ -0,0 +1,101 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_s_pde3d_box_mod
use psb_base_mod, only : psb_spk_, sone, szero
real(psb_spk_), save, private :: epsilon=sone/80
contains
subroutine pde_set_parm3d_box(dat)
real(psb_spk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm3d_box
!
! functions parametrizing the differential equation
!
function b1_box(x,y,z)
implicit none
real(psb_spk_) :: b1_box
real(psb_spk_), intent(in) :: x,y,z
b1_box=sone/sqrt(3.0_psb_spk_)
end function b1_box
function b2_box(x,y,z)
implicit none
real(psb_spk_) :: b2_box
real(psb_spk_), intent(in) :: x,y,z
b2_box=sone/sqrt(3.0_psb_spk_)
end function b2_box
function b3_box(x,y,z)
implicit none
real(psb_spk_) :: b3_box
real(psb_spk_), intent(in) :: x,y,z
b3_box=sone/sqrt(3.0_psb_spk_)
end function b3_box
function c_box(x,y,z)
implicit none
real(psb_spk_) :: c_box
real(psb_spk_), intent(in) :: x,y,z
c_box=szero
end function c_box
function a1_box(x,y,z)
implicit none
real(psb_spk_) :: a1_box
real(psb_spk_), intent(in) :: x,y,z
a1_box=epsilon
end function a1_box
function a2_box(x,y,z)
implicit none
real(psb_spk_) :: a2_box
real(psb_spk_), intent(in) :: x,y,z
a2_box=epsilon
end function a2_box
function a3_box(x,y,z)
implicit none
real(psb_spk_) :: a3_box
real(psb_spk_), intent(in) :: x,y,z
a3_box=epsilon
end function a3_box
function g_box(x,y,z)
implicit none
real(psb_spk_) :: g_box
real(psb_spk_), intent(in) :: x,y,z
g_box= szero
if (x == sone) then
g_box = sone
else if (x == szero) then
g_box = sone
end if
end function g_box
end module amg_s_pde3d_box_mod

@ -0,0 +1,101 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_s_pde3d_exp_mod
use psb_base_mod, only : psb_spk_, sone, szero
real(psb_spk_), save, private :: epsilon=sone/160
contains
subroutine pde_set_parm3d_exp(dat)
real(psb_spk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm3d_exp
!
! functions parametrizing the differential equation
!
function b1_exp(x,y,z)
implicit none
real(psb_spk_) :: b1_exp
real(psb_spk_), intent(in) :: x,y,z
b1_exp=szero/sqrt(3.0_psb_spk_)
end function b1_exp
function b2_exp(x,y,z)
implicit none
real(psb_spk_) :: b2_exp
real(psb_spk_), intent(in) :: x,y,z
b2_exp=szero/sqrt(3.0_psb_spk_)
end function b2_exp
function b3_exp(x,y,z)
implicit none
real(psb_spk_) :: b3_exp
real(psb_spk_), intent(in) :: x,y,z
b3_exp=szero/sqrt(3.0_psb_spk_)
end function b3_exp
function c_exp(x,y,z)
implicit none
real(psb_spk_) :: c_exp
real(psb_spk_), intent(in) :: x,y,z
c_exp=szero
end function c_exp
function a1_exp(x,y,z)
implicit none
real(psb_spk_) :: a1_exp
real(psb_spk_), intent(in) :: x,y,z
a1_exp=epsilon*exp(-(x+y+z))
end function a1_exp
function a2_exp(x,y,z)
implicit none
real(psb_spk_) :: a2_exp
real(psb_spk_), intent(in) :: x,y,z
a2_exp=epsilon*exp(-(x+y+z))
end function a2_exp
function a3_exp(x,y,z)
implicit none
real(psb_spk_) :: a3_exp
real(psb_spk_), intent(in) :: x,y,z
a3_exp=epsilon*exp(-(x+y+z))
end function a3_exp
function g_exp(x,y,z)
implicit none
real(psb_spk_) :: g_exp
real(psb_spk_), intent(in) :: x,y,z
g_exp = szero
if (x == sone) then
g_exp = sone
else if (x == szero) then
g_exp = sone
end if
end function g_exp
end module amg_s_pde3d_exp_mod

@ -0,0 +1,101 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_s_pde3d_gauss_mod
use psb_base_mod, only : psb_spk_, sone, szero
real(psb_spk_), save, private :: epsilon=sone/80
contains
subroutine pde_set_parm3d_gauss(dat)
real(psb_spk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm3d_gauss
!
! functions parametrizing the differential equation
!
function b1_gauss(x,y,z)
implicit none
real(psb_spk_) :: b1_gauss
real(psb_spk_), intent(in) :: x,y,z
b1_gauss=sone/sqrt(3.0_psb_spk_)-2*x*exp(-(x**2+y**2+z**2))
end function b1_gauss
function b2_gauss(x,y,z)
implicit none
real(psb_spk_) :: b2_gauss
real(psb_spk_), intent(in) :: x,y,z
b2_gauss=sone/sqrt(3.0_psb_spk_)-2*y*exp(-(x**2+y**2+z**2))
end function b2_gauss
function b3_gauss(x,y,z)
implicit none
real(psb_spk_) :: b3_gauss
real(psb_spk_), intent(in) :: x,y,z
b3_gauss=sone/sqrt(3.0_psb_spk_)-2*z*exp(-(x**2+y**2+z**2))
end function b3_gauss
function c_gauss(x,y,z)
implicit none
real(psb_spk_) :: c_gauss
real(psb_spk_), intent(in) :: x,y,z
c_gauss=szero
end function c_gauss
function a1_gauss(x,y,z)
implicit none
real(psb_spk_) :: a1_gauss
real(psb_spk_), intent(in) :: x,y,z
a1_gauss=epsilon*exp(-(x**2+y**2+z**2))
end function a1_gauss
function a2_gauss(x,y,z)
implicit none
real(psb_spk_) :: a2_gauss
real(psb_spk_), intent(in) :: x,y,z
a2_gauss=epsilon*exp(-(x**2+y**2+z**2))
end function a2_gauss
function a3_gauss(x,y,z)
implicit none
real(psb_spk_) :: a3_gauss
real(psb_spk_), intent(in) :: x,y,z
a3_gauss=epsilon*exp(-(x**2+y**2+z**2))
end function a3_gauss
function g_gauss(x,y,z)
implicit none
real(psb_spk_) :: g_gauss
real(psb_spk_), intent(in) :: x,y,z
g_gauss = szero
if (x == sone) then
g_gauss = sone
else if (x == szero) then
g_gauss = sone
end if
end function g_gauss
end module amg_s_pde3d_gauss_mod

@ -0,0 +1,101 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
module amg_s_pde3d_poisson_mod
use psb_base_mod, only : psb_spk_, sone, szero
real(psb_spk_), save, private :: epsilon=sone/80
contains
subroutine pde_set_parm3d_poisson(dat)
real(psb_spk_), intent(in) :: dat
epsilon = dat
end subroutine pde_set_parm3d_poisson
!
! functions parametrizing the differential equation
!
function b1_poisson(x,y,z)
implicit none
real(psb_spk_) :: b1_poisson
real(psb_spk_), intent(in) :: x,y,z
b1_poisson=szero
end function b1_poisson
function b2_poisson(x,y,z)
implicit none
real(psb_spk_) :: b2_poisson
real(psb_spk_), intent(in) :: x,y,z
b2_poisson=szero
end function b2_poisson
function b3_poisson(x,y,z)
implicit none
real(psb_spk_) :: b3_poisson
real(psb_spk_), intent(in) :: x,y,z
b3_poisson=szero
end function b3_poisson
function c_poisson(x,y,z)
implicit none
real(psb_spk_) :: c_poisson
real(psb_spk_), intent(in) :: x,y,z
c_poisson=szero
end function c_poisson
function a1_poisson(x,y,z)
implicit none
real(psb_spk_) :: a1_poisson
real(psb_spk_), intent(in) :: x,y,z
a1_poisson=epsilon
end function a1_poisson
function a2_poisson(x,y,z)
implicit none
real(psb_spk_) :: a2_poisson
real(psb_spk_), intent(in) :: x,y,z
a2_poisson=epsilon
end function a2_poisson
function a3_poisson(x,y,z)
implicit none
real(psb_spk_) :: a3_poisson
real(psb_spk_), intent(in) :: x,y,z
a3_poisson=epsilon
end function a3_poisson
function g_poisson(x,y,z)
implicit none
real(psb_spk_) :: g_poisson
real(psb_spk_), intent(in) :: x,y,z
g_poisson = szero
if (x == sone) then
g_poisson = sone
else if (x == szero) then
g_poisson = sone
end if
end function g_poisson
end module amg_s_pde3d_poisson_mod

@ -0,0 +1,324 @@
!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions
! are met:
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions, and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
! not be used to endorse or promote products derived from this
! software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
! POSSIBILITY OF SUCH DAMAGE.
!
!
module data_input
use psb_base_mod, only : psb_spk_, psb_dpk_, psb_ipk_
interface read_data
module procedure read_char, read_int, read_int_array,&
& read_double, read_double_array, &
& read_single, read_single_array, read_logical,&
& string_read_char, string_read_int, string_read_int_array,&
& string_read_double, string_read_double_array,&
& string_read_single, string_read_single_array, &
& string_read_logical
end interface read_data
interface trim_string
module procedure trim_string
end interface
character(len=4096), private :: charbuf
character, private, parameter :: def_marker="!"
character, private, parameter :: cmt_marker="%"
contains
subroutine get_buffer(file,buffer)
integer(psb_ipk_), intent(in) :: file
character(len=*), intent(inout) :: buffer
integer :: idx
do
read(file,'(a)',end=999) buffer
buffer = adjustl(buffer)
idx=index(charbuf,cmt_marker)
if (idx == 1 ) then
cycle
else
exit
end if
end do
999 continue
return
end subroutine get_buffer
subroutine read_logical(val,file,marker)
logical, intent(out) :: val
integer(psb_ipk_), intent(in) :: file
character(len=1), optional, intent(in) :: marker
call get_buffer(file,charbuf)
call read_data(val,charbuf,marker)
end subroutine read_logical
subroutine read_char(val,file,marker)
character(len=*), intent(out) :: val
integer(psb_ipk_), intent(in) :: file
character(len=1), optional, intent(in) :: marker
call get_buffer(file,charbuf)
call read_data(val,charbuf,marker)
end subroutine read_char
subroutine read_int(val,file,marker)
integer(psb_ipk_), intent(out) :: val
integer(psb_ipk_), intent(in) :: file
character(len=1), optional, intent(in) :: marker
call get_buffer(file,charbuf)
call read_data(val,charbuf,marker)
end subroutine read_int
subroutine read_int_array(val,file,marker)
integer(psb_ipk_), intent(out) :: val(:)
integer(psb_ipk_), intent(in) :: file
character(len=1), optional, intent(in) :: marker
call get_buffer(file,charbuf)
call read_data(val,charbuf,marker)
end subroutine read_int_array
subroutine read_single(val,file,marker)
real(psb_spk_), intent(out) :: val
integer(psb_ipk_), intent(in) :: file
character(len=1), optional, intent(in) :: marker
call get_buffer(file,charbuf)
call read_data(val,charbuf,marker)
end subroutine read_single
subroutine read_single_array(val,file,marker)
real(psb_spk_), intent(out) :: val(:)
integer(psb_ipk_), intent(in) :: file
character(len=1), optional, intent(in) :: marker
call get_buffer(file,charbuf)
call read_data(val,charbuf,marker)
end subroutine read_single_array
subroutine read_double(val,file,marker)
real(psb_dpk_), intent(out) :: val
integer(psb_ipk_), intent(in) :: file
character(len=1), optional, intent(in) :: marker
call get_buffer(file,charbuf)
call read_data(val,charbuf,marker)
end subroutine read_double
subroutine read_double_array(val,file,marker)
real(psb_dpk_), intent(out) :: val(:)
integer(psb_ipk_), intent(in) :: file
character(len=1), optional, intent(in) :: marker
call get_buffer(file,charbuf)
call read_data(val,charbuf,marker)
end subroutine read_double_array
subroutine string_read_char(val,file,marker)
character(len=*), intent(out) :: val
character(len=*), intent(in) :: file
character(len=1), optional, intent(in) :: marker
character(len=1) :: marker_
character(len=1024) :: charbuf
integer(psb_ipk_) :: idx
if (present(marker)) then
marker_ = marker
else
marker_ = def_marker
end if
read(file,'(a)')charbuf
charbuf = adjustl(charbuf)
idx=index(charbuf,marker_)
if (idx == 0) idx = len(charbuf)+1
read(charbuf(1:idx-1),'(a)') val
end subroutine string_read_char
subroutine string_read_int(val,file,marker)
integer(psb_ipk_), intent(out) :: val
character(len=*), intent(in) :: file
character(len=1), optional, intent(in) :: marker
character(len=1) :: marker_
character(len=1024) :: charbuf
integer(psb_ipk_) :: idx
if (present(marker)) then
marker_ = marker
else
marker_ = def_marker
end if
read(file,'(a)')charbuf
charbuf = adjustl(charbuf)
idx=index(charbuf,marker_)
if (idx == 0) idx = len(charbuf)+1
read(charbuf(1:idx-1),*) val
end subroutine string_read_int
subroutine string_read_int_array(val,file,marker)
integer(psb_ipk_), intent(out) :: val(:)
character(len=*), intent(in) :: file
character(len=1), optional, intent(in) :: marker
character(len=1) :: marker_
character(len=1024) :: charbuf
integer(psb_ipk_) :: idx
if (present(marker)) then
marker_ = marker
else
marker_ = def_marker
end if
read(file,'(a)')charbuf
charbuf = adjustl(charbuf)
idx=index(charbuf,marker_)
if (idx == 0) idx = len(charbuf)+1
read(charbuf(1:idx-1),*) val(:)
end subroutine string_read_int_array
subroutine string_read_single(val,file,marker)
real(psb_spk_), intent(out) :: val
character(len=*), intent(in) :: file
character(len=1), optional, intent(in) :: marker
character(len=1) :: marker_
character(len=1024) :: charbuf
integer(psb_ipk_) :: idx
if (present(marker)) then
marker_ = marker
else
marker_ = def_marker
end if
read(file,'(a)')charbuf
charbuf = adjustl(charbuf)
idx=index(charbuf,marker_)
if (idx == 0) idx = len(charbuf)+1
read(charbuf(1:idx-1),*) val
end subroutine string_read_single
subroutine string_read_single_array(val,file,marker)
real(psb_spk_), intent(out) :: val(:)
character(len=*), intent(in) :: file
character(len=1), optional, intent(in) :: marker
character(len=1) :: marker_
character(len=1024) :: charbuf
integer(psb_ipk_) :: idx
if (present(marker)) then
marker_ = marker
else
marker_ = def_marker
end if
read(file,'(a)')charbuf
charbuf = adjustl(charbuf)
idx=index(charbuf,marker_)
if (idx == 0) idx = len(charbuf)+1
read(charbuf(1:idx-1),*) val(:)
end subroutine string_read_single_array
subroutine string_read_double(val,file,marker)
real(psb_dpk_), intent(out) :: val
character(len=*), intent(in) :: file
character(len=1), optional, intent(in) :: marker
character(len=1) :: marker_
character(len=1024) :: charbuf
integer(psb_ipk_) :: idx
if (present(marker)) then
marker_ = marker
else
marker_ = def_marker
end if
read(file,'(a)')charbuf
charbuf = adjustl(charbuf)
idx=index(charbuf,marker_)
if (idx == 0) idx = len(charbuf)+1
read(charbuf(1:idx-1),*) val
end subroutine string_read_double
subroutine string_read_double_array(val,file,marker)
real(psb_dpk_), intent(out) :: val(:)
character(len=*), intent(in) :: file
character(len=1), optional, intent(in) :: marker
character(len=1) :: marker_
character(len=1024) :: charbuf
integer(psb_ipk_) :: idx
if (present(marker)) then
marker_ = marker
else
marker_ = def_marker
end if
read(file,'(a)')charbuf
charbuf = adjustl(charbuf)
idx=index(charbuf,marker_)
if (idx == 0) idx = len(charbuf)+1
read(charbuf(1:idx-1),*) val(:)
end subroutine string_read_double_array
subroutine string_read_logical(val,file,marker)
logical, intent(out) :: val
character(len=*), intent(in) :: file
character(len=1), optional, intent(in) :: marker
character(len=1) :: marker_
character(len=1024) :: charbuf
integer(psb_ipk_) :: idx
if (present(marker)) then
marker_ = marker
else
marker_ = def_marker
end if
read(file,'(a)')charbuf
charbuf = adjustl(charbuf)
idx=index(charbuf,marker_)
if (idx == 0) idx = len(charbuf)+1
read(charbuf(1:idx-1),*) val
end subroutine string_read_logical
function trim_string(string,marker)
character(len=*), intent(in) :: string
character(len=1), optional, intent(in) :: marker
character(len=len(string)) :: trim_string
character(len=1) :: marker_
integer(psb_ipk_) :: idx
if (present(marker)) then
marker_ = marker
else
marker_ = def_marker
end if
idx=index(string,marker_)
trim_string = adjustl(string(idx:))
end function trim_string
end module data_input

@ -0,0 +1,97 @@
%%%%%%%%%%% General arguments % Lines starting with % are ignored.
CSR ! Storage format CSR COO JAD
0150 ! IDIM; domain size. Linear system size is IDIM**2
POISSON ! PDECOEFF: POISSON, EXP, BOX, GAUSS
% ! Coefficients of the PDE
CG ! Iterative method:
% ! BiCGSTAB BiCGSTABL BiCG CG CGS FCG GCR RGMRES RICHARDSON
2 ! ISTOPC
00500 ! ITMAX
1 ! ITRACE
30 ! IRST (restart for RGMRES and BiCGSTABL)
1.d-6 ! EPS
%%%%%%%%%%% Main preconditioner choices %%%%%%%%%%%%%%%%
ML-VBM-VCYCLE-FBGS-D-BJAC ! Longer descriptive name for preconditioner (up to 20 chars)
ML ! Preconditioner type: NONE JACOBI GS FBGS BJAC AS ML POLY
%
%%%%%%%%%%% First smoother (for all levels but coarsest) %%%%%%%%%%%%%%%%
FBGS ! Smoother type JACOBI FBGS GS BWGS BJAC AS POLY r 1-level, repeats previous.
6 ! Number of sweeps for smoother
1 ! degree for polynomial smoother
CHEB_4_OPT ! Polynomial variant
% Fields to be added for POLY
POLY_RHO_EST_POWER ! POLY_RHO_ESTIMATE Currently only POLY_RHO_EST_POWER
% POLY_RHO_ESTIMATE_ITERATIONS default = 20
% POLY_RHO_BA set to value
1.0
%
0 ! Number of overlap layers for AS preconditioner
HALO ! AS restriction operator: NONE HALO
NONE ! AS prolongation operator: NONE SUM AVG
L1-JACOBI ! Subdomain solver for BJAC/AS: JACOBI GS BGS ILU ILUT MILU MUMPS SLU UMF
1 ! Inner solver sweeps (GS and JACOBI)
LLK ! AINV variant
0 ! Fill level P for ILU(P) and ILU(T,P)
1 ! Inverse Fill level P for INVK
1.d-4 ! Threshold T for ILU(T,P)
%%%%%%%%%%% Second smoother, always ignored for non-ML %%%%%%%%%%%%%%%%
NONE ! Second (post) smoother, ignored if NONE
6 ! Number of sweeps for (post) smoother
1 ! degree for polynomial smoother
CHEB_4_OPT ! Polynomial variant
POLY_RHO_EST_POWER % POLY_RHO_ESTIMATE Currently only POLY_RHO_EST_POWER
% POLY_RHO_ESTIMATE_ITERATIONS default = 20
% POLY_RHO_BA set to value
1.0
0 ! Number of overlap layers for AS preconditioner
HALO ! AS restriction operator: NONE HALO
NONE ! AS prolongation operator: NONE SUM AVG
ILU ! Subdomain solver for BJAC/AS: JACOBI GS BGS ILU ILUT MILU MUMPS SLU UMF
8 ! Inner solver sweeps (GS and JACOBI)
LLK ! AINV variant, ignored otherwise
0 ! Fill level P for ILU(P) and ILU(T,P)
8 ! Inverse Fill level P for INVK
1.d-4 ! Threshold T for ILU(T,P)
%%%%%%%%%%% Multilevel parameters %%%%%%%%%%%%%%%%
VCYCLE ! Type of multilevel CYCLE: VCYCLE WCYCLE KCYCLE MULT ADD
4 ! Number of outer sweeps for ML
-3 ! Max Number of levels in a multilevel preconditioner; if <0, lib default
-3 ! Target coarse matrix size per process; if <0, lib default
SMOOTHED ! Type of aggregation: SMOOTHED UNSMOOTHED
COUPLED ! Parallel aggregation: DEC, SYMDEC, COUPLED
MATCHBOXP ! aggregation measure SOC1, MATCHBOXP
8 ! Requested size of the aggregates for MATCHBOXP
NATURAL ! Ordering of aggregation NATURAL DEGREE
-1.5 ! Coarsening ratio, if < 0 use library default
FILTER ! Filtering of matrix: FILTER NOFILTER
-0.0100d0 ! Smoothed aggregation threshold, ignored if < 0
-2 ! Number of thresholds in vector, next line ignored if <= 0
0.05 0.025 ! Thresholds
%%%%%%%%%%% Coarse level solver %%%%%%%%%%%%%%%%
BJAC ! Coarsest-level solver: MUMPS UMF SLU SLUDIST JACOBI GS BJAC
ILU ! Coarsest-level subsolver for BJAC: ILU ILUT MILU UMF MUMPS SLU
DIST ! Coarsest-level matrix distribution: DIST REPL
1 ! Coarsest-level fillin P for ILU(P) and ILU(T,P)
1.d-4 ! Coarsest-level threshold T for ILU(T,P)
1 ! Number of sweeps for JACOBI/GS/BJAC coarsest-level solver
%%%%%%%%%% Krylov coarse solver options %%%%%%%%%%
FCG ! Krylov method for coarsest level
BJAC ! Preconditioner for coarsest level
ILU ! Subsolver for coarsest level
FALSE ! Is the solver global (TRUE) or local (FALSE)?
1.d-4 ! Tolerance
-1 ! Restart for Krylov method
2 ! Stopping criterion
30 ! Maximum number of iterations
-1 ! Trace of the lower Krylov iterations
0 ! Fill-in for incomplete LU factorization
%%%%%%%%%% Dump parms %%%%%%%%%%%%%%%%%%%%%%%%%%
F ! Dump preconditioner on file
1 ! Min level
20 ! Max level
T ! Dump AC
T ! Dump RP
F ! Dump TPROL
F ! Dump SMOOTHER
F ! Dump SOLVER
F ! Global numering ?

@ -0,0 +1,98 @@
%%%%%%%%%%% General arguments % Lines starting with % are ignored.
CSR ! Storage format CSR COO JAD
0150 ! IDIM; domain size. Linear system size is IDIM**3
POISSON ! PDECOEFF: POISSON, EXP, BOX, GAUSS
% ! Coefficients of the PDE
CG ! Iterative method:
% ! BiCGSTAB BiCGSTABL BiCG CG CGS FCG GCR RGMRES RICHARDSON
2 ! ISTOPC
00500 ! ITMAX
1 ! ITRACE
30 ! IRST (restart for RGMRES and BiCGSTABL)
1.d-6 ! EPS
%%%%%%%%%%% Main preconditioner choices %%%%%%%%%%%%%%%%
ML-VBM-VCYC-POLY-L1-D-BJAC ! Longer descriptive name for preconditioner (up to 20 chars)
ML ! Preconditioner type: NONE JACOBI GS FBGS BJAC AS ML POLY
%
%%%%%%%%%%% First smoother (for all levels but coarsest) %%%%%%%%%%%%%%%%
POLY ! Smoother type JACOBI FBGS GS BWGS BJAC AS POLY r 1-level, repeats previous.
6 ! Number of sweeps for smoother
6 ! degree for polynomial smoother
CHEB_4_OPT ! Polynomial variant
% Fields to be added for POLY
POLY_RHO_EST_POWER ! POLY_RHO_ESTIMATE Currently only POLY_RHO_EST_POWER
% POLY_RHO_ESTIMATE_ITERATIONS default = 20
% POLY_RHO_BA set to value
1.0
%
0 ! Number of overlap layers for AS preconditioner
HALO ! AS restriction operator: NONE HALO
NONE ! AS prolongation operator: NONE SUM AVG
L1-JACOBI ! Subdomain solver for BJAC/AS: JACOBI GS BGS ILU ILUT MILU MUMPS SLU UMF
1 ! Inner solver sweeps (GS and JACOBI)
LLK ! AINV variant
0 ! Fill level P for ILU(P) and ILU(T,P)
1 ! Inverse Fill level P for INVK
1.d-4 ! Threshold T for ILU(T,P)
%%%%%%%%%%% Second smoother, always ignored for non-ML %%%%%%%%%%%%%%%%
NONE ! Second (post) smoother, ignored if NONE
6 ! Number of sweeps for (post) smoother
1 ! degree for polynomial smoother
CHEB_4_OPT ! Polynomial variant
POLY_RHO_EST_POWER % POLY_RHO_ESTIMATE Currently only POLY_RHO_EST_POWER
% POLY_RHO_ESTIMATE_ITERATIONS default = 20
% POLY_RHO_BA set to value
1.0
0 ! Number of overlap layers for AS preconditioner
HALO ! AS restriction operator: NONE HALO
NONE ! AS prolongation operator: NONE SUM AVG
L1-JACOBI ! Subdomain solver for BJAC/AS: JACOBI GS BGS ILU ILUT MILU MUMPS SLU UMF
1 ! Inner solver sweeps (GS and JACOBI)
LLK ! AINV variant
0 ! Fill level P for ILU(P) and ILU(T,P)
8 ! Inverse Fill level P for INVK
1.d-4 ! Threshold T for ILU(T,P)
%%%%%%%%%%% Multilevel parameters %%%%%%%%%%%%%%%%
VCYCLE ! Type of multilevel CYCLE: VCYCLE WCYCLE KCYCLE MULT ADD
1 ! Number of outer sweeps for ML
-3 ! Max Number of levels in a multilevel preconditioner; if <0, lib default
-3 ! Target coarse matrix size per process; if <0, lib default
T ! Do remap?
SMOOTHED ! Type of aggregation: SMOOTHED UNSMOOTHED
DEC !COUPLED ! Parallel aggregation: DEC, SYMDEC, COUPLED
SOC1 !MATCHBOXP ! aggregation measure SOC1, MATCHBOXP
8 ! Requested size of the aggregates for MATCHBOXP
NATURAL ! Ordering of aggregation NATURAL DEGREE
-1.5 ! Coarsening ratio, if < 0 use library default
FILTER ! Filtering of matrix: FILTER NOFILTER
-0.0100d0 ! Smoothed aggregation threshold, ignored if < 0
-2 ! Number of thresholds in vector, next line ignored if <= 0
0.05 0.025 ! Thresholds
%%%%%%%%%%% Coarse level solver %%%%%%%%%%%%%%%%
L1-JACOBI ! Coarsest-level solver: MUMPS UMF SLU SLUDIST JACOBI GS BJAC KRM
ILU ! Coarsest-level subsolver for BJAC: ILU ILUT MILU UMF MUMPS SLU
DIST ! Coarsest-level matrix distribution: DIST REPL
1 ! Coarsest-level fillin P for ILU(P) and ILU(T,P)
1.d-4 ! Coarsest-level threshold T for ILU(T,P)
30 ! Number of sweeps for JACOBI/GS/BJAC coarsest-level solver
%%%%%%%%%% Krylov coarse solver options %%%%%%%%%%
FCG ! Krylov method for coarsest level
BJAC ! Preconditioner for coarsest level
ILU ! Subsolver for coarsest level
FALSE ! Is the solver global (TRUE) or local (FALSE)?
1.d-4 ! Tolerance
-1 ! Restart for Krylov method
2 ! Stopping criterion
30 ! Maximum number of iterations
-1 ! Trace of the lower Krylov iterations
0 ! Fill-in for incomplete LU factorization
%%%%%%%%%%% Dump parms %%%%%%%%%%%%%%%%%%%%%%%%%%
F ! Dump preconditioner on file
1 ! Min level
20 ! Max level
T ! Dump AC
T ! Dump RP
F ! Dump TPROL
F ! Dump SMOOTHER
F ! Dump SOLVER
F ! Global numering ?
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