mld2p4-2:

config/pac.m4
 configure
 mlprec/Makefile
 mlprec/mld_base_prec_type.f90
 mlprec/mld_c_as_smoother.f90
 mlprec/mld_c_id_solver.f90
 mlprec/mld_c_ilu_solver.f90
 mlprec/mld_c_inner_mod.f90
 mlprec/mld_c_jac_smoother.f90
 mlprec/mld_c_move_alloc_mod.f90
 mlprec/mld_c_prec_mod.f90
 mlprec/mld_c_prec_type.f90
 mlprec/mld_c_slu_solver.f90
 mlprec/mld_caggrmap_bld.f90
 mlprec/mld_caggrmat_asb.f90
 mlprec/mld_caggrmat_nosmth_asb.F90
 mlprec/mld_caggrmat_smth_asb.F90
 mlprec/mld_ccoarse_bld.f90
 mlprec/mld_cilu0_fact.f90
 mlprec/mld_ciluk_fact.f90
 mlprec/mld_cilut_fact.f90
 mlprec/mld_cmlprec_aply.f90
 mlprec/mld_cmlprec_bld.f90
 mlprec/mld_cprecaply.f90
 mlprec/mld_cprecbld.f90
 mlprec/mld_cprecinit.F90
 mlprec/mld_cprecset.F90
 mlprec/mld_cslu_bld.f90
 mlprec/mld_cslu_interface.c
 mlprec/mld_cslud_bld.f90
 mlprec/mld_csp_renum.f90
 mlprec/mld_cumf_bld.f90
 mlprec/mld_d_as_smoother.f90
 mlprec/mld_d_id_solver.f90
 mlprec/mld_d_ilu_solver.f90
 mlprec/mld_d_inner_mod.f90
 mlprec/mld_d_move_alloc_mod.f90
 mlprec/mld_d_prec_mod.f90
 mlprec/mld_d_prec_type.f90
 mlprec/mld_d_slu_solver.f90
 mlprec/mld_d_sludist_solver.f90
 mlprec/mld_d_umf_solver.f90
 mlprec/mld_daggrmap_bld.f90
 mlprec/mld_daggrmat_asb.f90
 mlprec/mld_daggrmat_minnrg_asb.F90
 mlprec/mld_daggrmat_nosmth_asb.F90
 mlprec/mld_daggrmat_smth_asb.F90
 mlprec/mld_dcoarse_bld.f90
 mlprec/mld_dilu0_fact.f90
 mlprec/mld_diluk_fact.f90
 mlprec/mld_dilut_fact.f90
 mlprec/mld_dmlprec_aply.f90
 mlprec/mld_dmlprec_bld.f90
 mlprec/mld_dprecaply.f90
 mlprec/mld_dprecbld.f90
 mlprec/mld_dprecinit.F90
 mlprec/mld_dprecset.F90
 mlprec/mld_dslu_bld.f90
 mlprec/mld_dslu_interface.c
 mlprec/mld_dslud_bld.f90
 mlprec/mld_dslud_interface.c
 mlprec/mld_dsp_renum.f90
 mlprec/mld_dumf_interface.c
 mlprec/mld_inner_mod.f90
 mlprec/mld_move_alloc_mod.f90
 mlprec/mld_prec_mod.f90
 mlprec/mld_s_as_smoother.f90
 mlprec/mld_s_id_solver.f90
 mlprec/mld_s_ilu_solver.f90
 mlprec/mld_s_inner_mod.f90
 mlprec/mld_s_jac_smoother.f90
 mlprec/mld_s_move_alloc_mod.f90
 mlprec/mld_s_prec_mod.f90
 mlprec/mld_s_prec_type.f90
 mlprec/mld_s_slu_solver.f90
 mlprec/mld_saggrmap_bld.f90
 mlprec/mld_saggrmat_asb.f90
 mlprec/mld_saggrmat_nosmth_asb.F90
 mlprec/mld_saggrmat_smth_asb.F90
 mlprec/mld_scoarse_bld.f90
 mlprec/mld_silu0_fact.f90
 mlprec/mld_siluk_fact.f90
 mlprec/mld_silut_fact.f90
 mlprec/mld_smlprec_aply.f90
 mlprec/mld_smlprec_bld.f90
 mlprec/mld_sprecaply.f90
 mlprec/mld_sprecbld.f90
 mlprec/mld_sprecinit.F90
 mlprec/mld_sprecset.F90
 mlprec/mld_sslu_bld.f90
 mlprec/mld_sslu_interface.c
 mlprec/mld_sslud_bld.f90
 mlprec/mld_ssp_renum.f90
 mlprec/mld_sumf_bld.f90
 mlprec/mld_z_as_smoother.f90
 mlprec/mld_z_id_solver.f90
 mlprec/mld_z_ilu_solver.f90
 mlprec/mld_z_inner_mod.f90
 mlprec/mld_z_jac_smoother.f90
 mlprec/mld_z_move_alloc_mod.f90
 mlprec/mld_z_prec_mod.f90
 mlprec/mld_z_prec_type.f90
 mlprec/mld_z_slu_solver.f90
 mlprec/mld_z_umf_solver.f90
 mlprec/mld_zaggrmap_bld.f90
 mlprec/mld_zaggrmat_asb.f90
 mlprec/mld_zaggrmat_nosmth_asb.F90
 mlprec/mld_zaggrmat_smth_asb.F90
 mlprec/mld_zas_aply.f90
 mlprec/mld_zas_bld.f90
 mlprec/mld_zbaseprec_aply.f90
 mlprec/mld_zbaseprec_bld.f90
 mlprec/mld_zcoarse_bld.f90
 mlprec/mld_zdiag_bld.f90
 mlprec/mld_zfact_bld.f90
 mlprec/mld_zilu0_fact.f90
 mlprec/mld_zilu_bld.f90
 mlprec/mld_ziluk_fact.f90
 mlprec/mld_zilut_fact.f90
 mlprec/mld_zmlprec_aply.f90
 mlprec/mld_zmlprec_bld.f90
 mlprec/mld_zprecaply.f90
 mlprec/mld_zprecbld.f90
 mlprec/mld_zprecinit.F90
 mlprec/mld_zprecset.F90
 mlprec/mld_zslu_bld.f90
 mlprec/mld_zslu_interface.c
 mlprec/mld_zslud_bld.f90
 mlprec/mld_zsp_renum.f90
 mlprec/mld_zumf_bld.f90
 tests/newslv
 tests/newslv/Makefile
 tests/newslv/data_input.f90
 tests/newslv/mld_d_tlu_solver.f90
 tests/newslv/ppde.f90
 tests/newslv/runs
 tests/newslv/runs/ppde.inp
 tests/newslv/spde.f90
 tests/pdegen/ppde.f90
 tests/pdegen/runs/ppde.inp


Merged from newset branch.
This commit is contained in:
Salvatore Filippone
2011-03-02 10:36:11 +00:00
parent 439388f31e
commit 01ef87b4ed
138 changed files with 13825 additions and 7387 deletions
+39
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@@ -0,0 +1,39 @@
MLDDIR=../..
include $(MLDDIR)/Make.inc
include $(MLDDIR)/Make.inc
PSBLIBDIR=$(PSBLASDIR)/lib/
PSBINCDIR=$(PSBLASDIR)/include
MLDLIBDIR=$(MLDDIR)/lib
MLD_LIB=-L$(MLDLIBDIR) -lpsb_krylov -lmld_prec -lpsb_prec
PSBLAS_LIB= -L$(PSBLIBDIR) -lpsb_util -lpsb_base
FINCLUDES=$(FMFLAG). $(FMFLAG)$(MLDLIBDIR) $(FMFLAG)$(PSBINCDIR) $(FIFLAG).
PDOBJS=ppde.o data_input.o mld_d_tlu_solver.o
PSOBJS=spde.o data_input.o
EXEDIR=./runs
all: ppde spde
ppde: $(PDOBJS)
$(F90LINK) $(PDOBJS) -o ppde $(MLD_LIB) $(PSBLAS_LIB) $(LDLIBS)
/bin/mv ppde $(EXEDIR)
spde: $(PSOBJS)
$(F90LINK) $(PSOBJS) -o spde $(MLD_LIB) $(PSBLAS_LIB) $(LDLIBS)
/bin/mv spde $(EXEDIR)
ppde.o spde.o: data_input.o
ppde.o: mld_d_tlu_solver.o
clean:
/bin/rm -f $(PDOBJS) $(EXEDIR)/ppde $(PSOBJS) $(EXEDIR)/spde
verycleanlib:
(cd ../..; make veryclean)
lib:
(cd ../../; make library)
+187
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@@ -0,0 +1,187 @@
!!$
!!$
!!$ MLD2P4 version 2.0
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
!!$ based on PSBLAS (Parallel Sparse BLAS version 3.0)
!!$
!!$ (C) Copyright 2008,2009,2010
!!$
!!$ Salvatore Filippone University of Rome Tor Vergata
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
!!$ Pasqua D'Ambra ICAR-CNR, Naples
!!$ Daniela di Serafino Second University of Naples
!!$
!!$ 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 MLD2P4 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 MLD2P4 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
interface read_data
module procedure read_char, read_int,&
& read_double, read_single,&
& string_read_char, string_read_int,&
& string_read_double, string_read_single
end interface read_data
interface trim_string
module procedure trim_string
end interface
character(len=4096), private :: charbuf
character, private, parameter :: def_marker="!"
contains
subroutine read_char(val,file,marker)
character(len=*), intent(out) :: val
integer, intent(in) :: file
character(len=1), optional, intent(in) :: marker
read(file,'(a)')charbuf
call read_data(val,charbuf,marker)
end subroutine read_char
subroutine read_int(val,file,marker)
integer, intent(out) :: val
integer, intent(in) :: file
character(len=1), optional, intent(in) :: marker
read(file,'(a)')charbuf
call read_data(val,charbuf,marker)
end subroutine read_int
subroutine read_single(val,file,marker)
use psb_sparse_mod
real(psb_spk_), intent(out) :: val
integer, intent(in) :: file
character(len=1), optional, intent(in) :: marker
read(file,'(a)')charbuf
call read_data(val,charbuf,marker)
end subroutine read_single
subroutine read_double(val,file,marker)
use psb_sparse_mod
real(psb_dpk_), intent(out) :: val
integer, intent(in) :: file
character(len=1), optional, intent(in) :: marker
read(file,'(a)')charbuf
call read_data(val,charbuf,marker)
end subroutine read_double
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 :: 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, intent(out) :: val
character(len=*), intent(in) :: file
character(len=1), optional, intent(in) :: marker
character(len=1) :: marker_
character(len=1024) :: charbuf
integer :: 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_single(val,file,marker)
use psb_sparse_mod
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 :: 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_double(val,file,marker)
use psb_sparse_mod
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 :: 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
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 :: 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
+729
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@@ -0,0 +1,729 @@
!!$
!!$
!!$ MLD2P4 version 2.0
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
!!$ based on PSBLAS (Parallel Sparse BLAS version 3.0)
!!$
!!$ (C) Copyright 2008,2009,2010, 2010
!!$
!!$ Salvatore Filippone University of Rome Tor Vergata
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
!!$ Pasqua D'Ambra ICAR-CNR, Naples
!!$ Daniela di Serafino Second University of Naples
!!$
!!$ 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 MLD2P4 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 MLD2P4 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 mld_d_tlu_solver
use mld_d_prec_type
type, extends(mld_d_base_solver_type) :: mld_d_tlu_solver_type
type(psb_dspmat_type) :: l, u
real(psb_dpk_), allocatable :: d(:)
integer :: fact_type, fill_in
real(psb_dpk_) :: thresh
contains
procedure, pass(sv) :: dump => d_tlu_solver_dmp
procedure, pass(sv) :: build => d_tlu_solver_bld
procedure, pass(sv) :: apply => d_tlu_solver_apply
procedure, pass(sv) :: free => d_tlu_solver_free
procedure, pass(sv) :: seti => d_tlu_solver_seti
procedure, pass(sv) :: setc => d_tlu_solver_setc
procedure, pass(sv) :: setr => d_tlu_solver_setr
procedure, pass(sv) :: descr => d_tlu_solver_descr
procedure, pass(sv) :: sizeof => d_tlu_solver_sizeof
procedure, pass(sv) :: default => d_tlu_solver_default
end type mld_d_tlu_solver_type
private :: d_tlu_solver_bld, d_tlu_solver_apply, &
& d_tlu_solver_free, d_tlu_solver_seti, &
& d_tlu_solver_setc, d_tlu_solver_setr,&
& d_tlu_solver_descr, d_tlu_solver_sizeof, &
& d_tlu_solver_default, d_tlu_solver_dmp
interface mld_ilu0_fact
subroutine mld_dilu0_fact(ialg,a,l,u,d,info,blck,upd)
use psb_sparse_mod, only : psb_dspmat_type, psb_dpk_
integer, intent(in) :: ialg
integer, intent(out) :: info
type(psb_dspmat_type),intent(in) :: a
type(psb_dspmat_type),intent(inout) :: l,u
type(psb_dspmat_type),intent(in), optional, target :: blck
character, intent(in), optional :: upd
real(psb_dpk_), intent(inout) :: d(:)
end subroutine mld_dilu0_fact
end interface
interface mld_iluk_fact
subroutine mld_diluk_fact(fill_in,ialg,a,l,u,d,info,blck)
use psb_sparse_mod, only : psb_dspmat_type, psb_dpk_
integer, intent(in) :: fill_in,ialg
integer, intent(out) :: info
type(psb_dspmat_type),intent(in) :: a
type(psb_dspmat_type),intent(inout) :: l,u
type(psb_dspmat_type),intent(in), optional, target :: blck
real(psb_dpk_), intent(inout) :: d(:)
end subroutine mld_diluk_fact
end interface
interface mld_ilut_fact
subroutine mld_dilut_fact(fill_in,thres,a,l,u,d,info,blck)
use psb_sparse_mod, only : psb_dspmat_type, psb_dpk_
integer, intent(in) :: fill_in
real(psb_dpk_), intent(in) :: thres
integer, intent(out) :: info
type(psb_dspmat_type),intent(in) :: a
type(psb_dspmat_type),intent(inout) :: l,u
type(psb_dspmat_type),intent(in), optional, target :: blck
real(psb_dpk_), intent(inout) :: d(:)
end subroutine mld_dilut_fact
end interface
character(len=15), parameter, private :: &
& fact_names(0:mld_slv_delta_+4)=(/&
& 'none ','none ',&
& 'none ','none ',&
& 'none ','DIAG ?? ',&
& 'ILU(n) ',&
& 'MILU(n) ','ILU(t,n) '/)
contains
subroutine d_tlu_solver_default(sv)
use psb_sparse_mod
Implicit None
! Arguments
class(mld_d_tlu_solver_type), intent(inout) :: sv
sv%fact_type = mld_ilu_n_
sv%fill_in = 0
sv%thresh = dzero
return
end subroutine d_tlu_solver_default
subroutine d_tlu_solver_check(sv,info)
use psb_sparse_mod
Implicit None
! Arguments
class(mld_d_tlu_solver_type), intent(inout) :: sv
integer, intent(out) :: info
Integer :: err_act
character(len=20) :: name='d_tlu_solver_check'
call psb_erractionsave(err_act)
info = psb_success_
call mld_check_def(sv%fact_type,&
& 'Factorization',mld_ilu_n_,is_legal_ilu_fact)
select case(sv%fact_type)
case(mld_ilu_n_,mld_milu_n_)
call mld_check_def(sv%fill_in,&
& 'Level',0,is_legal_ml_lev)
case(mld_ilu_t_)
call mld_check_def(sv%thresh,&
& 'Eps',dzero,is_legal_fact_thrs)
end select
if (info /= psb_success_) goto 9999
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act == psb_act_abort_) then
call psb_error()
return
end if
return
end subroutine d_tlu_solver_check
subroutine d_tlu_solver_apply(alpha,sv,x,beta,y,desc_data,trans,work,info)
use psb_sparse_mod
type(psb_desc_type), intent(in) :: desc_data
class(mld_d_tlu_solver_type), intent(in) :: sv
real(psb_dpk_),intent(in) :: x(:)
real(psb_dpk_),intent(inout) :: y(:)
real(psb_dpk_),intent(in) :: alpha,beta
character(len=1),intent(in) :: trans
real(psb_dpk_),target, intent(inout) :: work(:)
integer, intent(out) :: info
integer :: n_row,n_col
real(psb_dpk_), pointer :: ww(:), aux(:), tx(:),ty(:)
integer :: ictxt,np,me,i, err_act
character :: trans_
character(len=20) :: name='d_tlu_solver_apply'
call psb_erractionsave(err_act)
info = psb_success_
trans_ = psb_toupper(trans)
select case(trans_)
case('N')
case('T','C')
case default
call psb_errpush(psb_err_iarg_invalid_i_,name)
goto 9999
end select
n_row = psb_cd_get_local_rows(desc_data)
n_col = psb_cd_get_local_cols(desc_data)
if (n_col <= size(work)) then
ww => work(1:n_col)
if ((4*n_col+n_col) <= size(work)) then
aux => work(n_col+1:)
else
allocate(aux(4*n_col),stat=info)
if (info /= psb_success_) then
info=psb_err_alloc_request_
call psb_errpush(info,name,i_err=(/4*n_col,0,0,0,0/),&
& a_err='real(psb_dpk_)')
goto 9999
end if
endif
else
allocate(ww(n_col),aux(4*n_col),stat=info)
if (info /= psb_success_) then
info=psb_err_alloc_request_
call psb_errpush(info,name,i_err=(/5*n_col,0,0,0,0/),&
& a_err='real(psb_dpk_)')
goto 9999
end if
endif
select case(trans_)
case('N')
call psb_spsm(done,sv%l,x,dzero,ww,desc_data,info,&
& trans=trans_,scale='L',diag=sv%d,choice=psb_none_,work=aux)
if (info == psb_success_) call psb_spsm(alpha,sv%u,ww,beta,y,desc_data,info,&
& trans=trans_,scale='U',choice=psb_none_, work=aux)
case('T','C')
call psb_spsm(done,sv%u,x,dzero,ww,desc_data,info,&
& trans=trans_,scale='L',diag=sv%d,choice=psb_none_,work=aux)
if (info == psb_success_) call psb_spsm(alpha,sv%l,ww,beta,y,desc_data,info,&
& trans=trans_,scale='U',choice=psb_none_,work=aux)
case default
call psb_errpush(psb_err_internal_error_,name,&
& a_err='Invalid TRANS in ILU subsolve')
goto 9999
end select
if (info /= psb_success_) then
call psb_errpush(psb_err_internal_error_,name,&
& a_err='Error in subsolve')
goto 9999
endif
if (n_col <= size(work)) then
if ((4*n_col+n_col) <= size(work)) then
else
deallocate(aux)
endif
else
deallocate(ww,aux)
endif
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act == psb_act_abort_) then
call psb_error()
return
end if
return
end subroutine d_tlu_solver_apply
subroutine d_tlu_solver_bld(a,desc_a,sv,upd,info,b)
use psb_sparse_mod
Implicit None
! Arguments
type(psb_dspmat_type), intent(in), target :: a
Type(psb_desc_type), Intent(in) :: desc_a
class(mld_d_tlu_solver_type), intent(inout) :: sv
character, intent(in) :: upd
integer, intent(out) :: info
type(psb_dspmat_type), intent(in), target, optional :: b
! Local variables
integer :: n_row,n_col, nrow_a, nztota
real(psb_dpk_), pointer :: ww(:), aux(:), tx(:),ty(:)
integer :: ictxt,np,me,i, err_act, debug_unit, debug_level
character(len=20) :: name='d_tlu_solver_bld', ch_err
info=psb_success_
call psb_erractionsave(err_act)
debug_unit = psb_get_debug_unit()
debug_level = psb_get_debug_level()
ictxt = psb_cd_get_context(desc_a)
call psb_info(ictxt, me, np)
if (debug_level >= psb_debug_outer_) &
& write(debug_unit,*) me,' ',trim(name),' start'
n_row = psb_cd_get_local_rows(desc_a)
if (psb_toupper(upd) == 'F') then
nrow_a = a%get_nrows()
nztota = a%get_nzeros()
if (present(b)) then
nztota = nztota + b%get_nzeros()
end if
call sv%l%csall(n_row,n_row,info,nztota)
if (info == psb_success_) call sv%u%csall(n_row,n_row,info,nztota)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='psb_sp_all'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
if (allocated(sv%d)) then
if (size(sv%d) < n_row) then
deallocate(sv%d)
endif
endif
if (.not.allocated(sv%d)) then
allocate(sv%d(n_row),stat=info)
if (info /= psb_success_) then
call psb_errpush(psb_err_from_subroutine_,name,a_err='Allocate')
goto 9999
end if
endif
select case(sv%fact_type)
case (mld_ilu_t_)
!
! ILU(k,t)
!
select case(sv%fill_in)
case(:-1)
! Error: fill-in <= -1
call psb_errpush(psb_err_input_value_invalid_i_,&
& name,i_err=(/3,sv%fill_in,0,0,0/))
goto 9999
case(0:)
! Fill-in >= 0
call mld_ilut_fact(sv%fill_in,sv%thresh,&
& a, sv%l,sv%u,sv%d,info,blck=b)
end select
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='mld_ilut_fact'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
case(mld_ilu_n_,mld_milu_n_)
!
! ILU(k) and MILU(k)
!
select case(sv%fill_in)
case(:-1)
! Error: fill-in <= -1
call psb_errpush(psb_err_input_value_invalid_i_,&
& name,i_err=(/3,sv%fill_in,0,0,0/))
goto 9999
case(0)
! Fill-in 0
! Separate implementation of ILU(0) for better performance.
! There seems to be a problem with the separate implementation of MILU(0),
! contained into mld_ilu0_fact. This must be investigated. For the time being,
! resort to the implementation of MILU(k) with k=0.
if (sv%fact_type == mld_ilu_n_) then
call mld_ilu0_fact(sv%fact_type,a,sv%l,sv%u,&
& sv%d,info,blck=b,upd=upd)
else
call mld_iluk_fact(sv%fill_in,sv%fact_type,&
& a,sv%l,sv%u,sv%d,info,blck=b)
endif
case(1:)
! Fill-in >= 1
! The same routine implements both ILU(k) and MILU(k)
call mld_iluk_fact(sv%fill_in,sv%fact_type,&
& a,sv%l,sv%u,sv%d,info,blck=b)
end select
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='mld_iluk_fact'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
case default
! If we end up here, something was wrong up in the call chain.
info = psb_err_input_value_invalid_i_
call psb_errpush(psb_err_input_value_invalid_i_,name,&
& i_err=(/3,sv%fact_type,0,0,0/))
goto 9999
end select
else
! Here we should add checks for reuse of L and U.
! For the time being just throw an error.
info = 31
call psb_errpush(info, name, i_err=(/3,0,0,0,0/),a_err=upd)
goto 9999
!
! What is an update of a factorization??
! A first attempt could be to reuse EXACTLY the existing indices
! as if it was an ILU(0) (since, effectively, the sparsity pattern
! should not grow beyond what is already there).
!
call mld_ilu0_fact(sv%fact_type,a,&
& sv%l,sv%u,&
& sv%d,info,blck=b,upd=upd)
end if
call sv%l%set_asb()
call sv%l%trim()
call sv%u%set_asb()
call sv%u%trim()
if (debug_level >= psb_debug_outer_) &
& write(debug_unit,*) me,' ',trim(name),' end'
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act == psb_act_abort_) then
call psb_error()
return
end if
return
end subroutine d_tlu_solver_bld
subroutine d_tlu_solver_seti(sv,what,val,info)
use psb_sparse_mod
Implicit None
! Arguments
class(mld_d_tlu_solver_type), intent(inout) :: sv
integer, intent(in) :: what
integer, intent(in) :: val
integer, intent(out) :: info
Integer :: err_act
character(len=20) :: name='d_tlu_solver_seti'
info = psb_success_
call psb_erractionsave(err_act)
select case(what)
case(mld_sub_solve_)
sv%fact_type = val
case(mld_sub_fillin_)
sv%fill_in = val
case default
!!$ write(0,*) name,': Error: invalid WHAT'
!!$ info = -2
end select
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act == psb_act_abort_) then
call psb_error()
return
end if
return
end subroutine d_tlu_solver_seti
subroutine d_tlu_solver_setc(sv,what,val,info)
use psb_sparse_mod
Implicit None
! Arguments
class(mld_d_tlu_solver_type), intent(inout) :: sv
integer, intent(in) :: what
character(len=*), intent(in) :: val
integer, intent(out) :: info
Integer :: err_act, ival
character(len=20) :: name='d_tlu_solver_setc'
info = psb_success_
call psb_erractionsave(err_act)
call mld_stringval(val,ival,info)
if (info == psb_success_) call sv%set(what,ival,info)
if (info /= psb_success_) then
info = psb_err_from_subroutine_
call psb_errpush(info, name)
goto 9999
end if
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act == psb_act_abort_) then
call psb_error()
return
end if
return
end subroutine d_tlu_solver_setc
subroutine d_tlu_solver_setr(sv,what,val,info)
use psb_sparse_mod
Implicit None
! Arguments
class(mld_d_tlu_solver_type), intent(inout) :: sv
integer, intent(in) :: what
real(psb_dpk_), intent(in) :: val
integer, intent(out) :: info
Integer :: err_act
character(len=20) :: name='d_tlu_solver_setr'
call psb_erractionsave(err_act)
info = psb_success_
select case(what)
case(mld_sub_iluthrs_)
sv%thresh = val
case default
!!$ write(0,*) name,': Error: invalid WHAT'
!!$ info = -2
!!$ goto 9999
end select
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act == psb_act_abort_) then
call psb_error()
return
end if
return
end subroutine d_tlu_solver_setr
subroutine d_tlu_solver_free(sv,info)
use psb_sparse_mod
Implicit None
! Arguments
class(mld_d_tlu_solver_type), intent(inout) :: sv
integer, intent(out) :: info
Integer :: err_act
character(len=20) :: name='d_tlu_solver_free'
call psb_erractionsave(err_act)
info = psb_success_
if (allocated(sv%d)) then
deallocate(sv%d,stat=info)
if (info /= psb_success_) then
info = psb_err_alloc_dealloc_
call psb_errpush(info,name)
goto 9999
end if
end if
call sv%l%free()
call sv%u%free()
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act == psb_act_abort_) then
call psb_error()
return
end if
return
end subroutine d_tlu_solver_free
subroutine d_tlu_solver_descr(sv,info,iout,coarse)
use psb_sparse_mod
Implicit None
! Arguments
class(mld_d_tlu_solver_type), intent(in) :: sv
integer, intent(out) :: info
integer, intent(in), optional :: iout
logical, intent(in), optional :: coarse
! Local variables
integer :: err_act
integer :: ictxt, me, np
character(len=20), parameter :: name='mld_d_tlu_solver_descr'
integer :: iout_
call psb_erractionsave(err_act)
info = psb_success_
if (present(iout)) then
iout_ = iout
else
iout_ = 6
endif
write(iout_,*) ' TLU: test a new solver kind'
write(iout_,*) ' Incomplete factorization solver: ',&
& fact_names(sv%fact_type)
select case(sv%fact_type)
case(mld_ilu_n_,mld_milu_n_)
write(iout_,*) ' Fill level:',sv%fill_in
case(mld_ilu_t_)
write(iout_,*) ' Fill level:',sv%fill_in
write(iout_,*) ' Fill threshold :',sv%thresh
end select
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act == psb_act_abort_) then
call psb_error()
return
end if
return
end subroutine d_tlu_solver_descr
function d_tlu_solver_sizeof(sv) result(val)
use psb_sparse_mod
implicit none
! Arguments
class(mld_d_tlu_solver_type), intent(in) :: sv
integer(psb_long_int_k_) :: val
integer :: i
val = 2*psb_sizeof_int + psb_sizeof_dp
if (allocated(sv%d)) val = val + psb_sizeof_dp * size(sv%d)
val = val + psb_sizeof(sv%l)
val = val + psb_sizeof(sv%u)
return
end function d_tlu_solver_sizeof
subroutine d_tlu_solver_dmp(sv,ictxt,level,info,prefix,head,solver)
use psb_sparse_mod
implicit none
class(mld_d_tlu_solver_type), intent(in) :: sv
integer, intent(in) :: ictxt,level
integer, intent(out) :: info
character(len=*), intent(in), optional :: prefix, head
logical, optional, intent(in) :: solver
integer :: i, j, il1, iln, lname, lev
integer :: icontxt,iam, np
character(len=80) :: prefix_
character(len=120) :: fname ! len should be at least 20 more than
logical :: solver_
! len of prefix_
info = 0
if (present(prefix)) then
prefix_ = trim(prefix(1:min(len(prefix),len(prefix_))))
else
prefix_ = "dump_slv_d"
end if
call psb_info(ictxt,iam,np)
if (present(solver)) then
solver_ = solver
else
solver_ = .false.
end if
lname = len_trim(prefix_)
fname = trim(prefix_)
write(fname(lname+1:lname+5),'(a,i3.3)') '_p',iam
lname = lname + 5
if (solver_) then
write(fname(lname+1:),'(a,i3.3,a)')'_l',level,'_lower.mtx'
if (sv%l%is_asb()) &
& call sv%l%print(fname,head=head)
write(fname(lname+1:),'(a,i3.3,a)')'_l',level,'_diag.mtx'
if (allocated(sv%d)) &
& call psb_geprt(fname,sv%d,head=head)
write(fname(lname+1:),'(a,i3.3,a)')'_l',level,'_upper.mtx'
if (sv%u%is_asb()) &
& call sv%u%print(fname,head=head)
end if
end subroutine d_tlu_solver_dmp
end module mld_d_tlu_solver
+751
View File
@@ -0,0 +1,751 @@
!!$
!!$
!!$ MLD2P4 version 2.0
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
!!$ based on PSBLAS (Parallel Sparse BLAS version 3.0)
!!$
!!$ (C) Copyright 2008,2009,2010
!!$
!!$ Salvatore Filippone University of Rome Tor Vergata
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
!!$ Pasqua D'Ambra ICAR-CNR, Naples
!!$ Daniela di Serafino Second University of Naples
!!$
!!$ 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 MLD2P4 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 MLD2P4 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: ppde.f90
!
! Program: ppde
! 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
!
! b1 dd(u) b2 dd(u) b3 dd(u) a1 d(u) a2 d(u) a3 d(u)
! - ------ - ------ - ------ - ----- - ------ - ------ + a4 u = 0
! dxdx dydy dzdz dx dy dz
!
! with Dirichlet boundary conditions, on the unit cube 0<=x,y,z<=1.
!
! Example taken from:
! C.T.Kelley
! Iterative Methods for Linear and Nonlinear Equations
! SIAM 1995
!
! In this sample program the index space of the discretized
! computational domain is first numbered sequentially in a standard way,
! then the corresponding vector is distributed according to a BLOCK
! data distribution.
!
! Boundary conditions are set in a very simple way, by adding
! equations of the form
!
! u(x,y) = exp(-x^2-y^2-z^2)
!
! Note that if a1=a2=a3=a4=0., the PDE is the well-known Laplace equation.
!
program ppde
use psb_sparse_mod
use mld_prec_mod
use psb_krylov_mod
use psb_util_mod
use data_input
use mld_d_tlu_solver
implicit none
! input parameters
character(len=20) :: kmethd, ptype
character(len=5) :: afmt
integer :: idim
! miscellaneous
real(psb_dpk_), parameter :: one = 1.d0
real(psb_dpk_) :: t1, t2, tprec
! sparse matrix and preconditioner
type(psb_dspmat_type) :: a
type(mld_dprec_type) :: prec
type(mld_d_tlu_solver_type) :: tlusv
! descriptor
type(psb_desc_type) :: desc_a
! dense matrices
real(psb_dpk_), allocatable :: b(:), x(:)
! blacs parameters
integer :: ictxt, iam, np
! solver parameters
integer :: iter, itmax,itrace, istopc, irst, nlv
integer(psb_long_int_k_) :: amatsize, precsize, descsize
real(psb_dpk_) :: err, eps
type precdata
character(len=20) :: descr ! verbose description of the prec
character(len=10) :: prec ! overall prectype
integer :: novr ! number of overlap layers
integer :: jsweeps ! Jacobi/smoother sweeps
character(len=16) :: restr ! restriction over application of as
character(len=16) :: prol ! prolongation over application of as
character(len=16) :: solve ! Solver type: ILU, SuperLU, UMFPACK.
integer :: fill1 ! Fill-in for factorization 1
real(psb_dpk_) :: thr1 ! Threshold for fact. 1 ILU(T)
character(len=16) :: smther ! Smoother
integer :: nlev ! Number of levels in multilevel prec.
character(len=16) :: aggrkind ! smoothed/raw aggregatin
character(len=16) :: aggr_alg ! local or global aggregation
character(len=16) :: mltype ! additive or multiplicative 2nd level prec
character(len=16) :: smthpos ! side: pre, post, both smoothing
character(len=16) :: cmat ! coarse mat
character(len=16) :: csolve ! Coarse solver: bjac, umf, slu, sludist
character(len=16) :: csbsolve ! Coarse subsolver: ILU, ILU(T), SuperLU, UMFPACK.
integer :: cfill ! Fill-in for factorization 1
real(psb_dpk_) :: cthres ! Threshold for fact. 1 ILU(T)
integer :: cjswp ! Jacobi sweeps
real(psb_dpk_) :: athres ! smoother aggregation threshold
end type precdata
type(precdata) :: prectype
! other variables
integer :: info
character(len=20) :: name,ch_err
info=psb_success_
call psb_init(ictxt)
call psb_info(ictxt,iam,np)
if (iam < 0) then
! This should not happen, but just in case
call psb_exit(ictxt)
stop
endif
if(psb_get_errstatus() /= 0) goto 9999
name='pde90'
call psb_set_errverbosity(2)
!
! get parameters
!
call get_parms(ictxt,kmethd,prectype,afmt,idim,istopc,itmax,itrace,irst,eps)
!
! allocate and fill in the coefficient matrix, rhs and initial guess
!
call psb_barrier(ictxt)
t1 = psb_wtime()
call create_matrix(idim,a,b,x,desc_a,ictxt,afmt,info)
call psb_barrier(ictxt)
t2 = psb_wtime() - t1
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='create_matrix'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
if (iam == psb_root_) write(*,'("Overall matrix creation time : ",es12.5)')t2
if (iam == psb_root_) write(*,'(" ")')
!
! prepare the preconditioner.
!
if (psb_toupper(prectype%prec) == 'ML') then
nlv = prectype%nlev
call mld_precinit(prec,prectype%prec, info, nlev=nlv)
call mld_precset(prec,mld_smoother_type_, prectype%smther, info)
call mld_precset(prec,mld_smoother_sweeps_, prectype%jsweeps, info)
call mld_precset(prec,mld_sub_ovr_, prectype%novr, info)
call mld_precset(prec,mld_sub_restr_, prectype%restr, info)
call mld_precset(prec,mld_sub_prol_, prectype%prol, info)
call mld_precset(prec,mld_sub_solve_, prectype%solve, info)
call mld_precset(prec,mld_sub_fillin_, prectype%fill1, info)
call mld_precset(prec,mld_sub_iluthrs_, prectype%thr1, info)
call mld_precset(prec,mld_aggr_kind_, prectype%aggrkind,info)
call mld_precset(prec,mld_aggr_alg_, prectype%aggr_alg,info)
call mld_precset(prec,mld_ml_type_, prectype%mltype, info)
call mld_precset(prec,mld_smoother_pos_, prectype%smthpos, info)
call mld_precset(prec,mld_aggr_thresh_, prectype%athres, info)
call mld_precset(prec,mld_coarse_solve_, prectype%csolve, info)
call mld_precset(prec,mld_coarse_subsolve_, prectype%csbsolve,info)
call mld_precset(prec,mld_coarse_mat_, prectype%cmat, info)
call mld_precset(prec,mld_coarse_fillin_, prectype%cfill, info)
call mld_precset(prec,mld_coarse_iluthrs_, prectype%cthres, info)
call mld_precset(prec,mld_coarse_sweeps_, prectype%cjswp, info)
else
nlv = 1
call mld_precinit(prec,prectype%prec, info, nlev=nlv)
call mld_precset(prec,mld_smoother_sweeps_, prectype%jsweeps, info)
call mld_precset(prec,mld_sub_ovr_, prectype%novr, info)
call mld_precset(prec,mld_sub_restr_, prectype%restr, info)
call mld_precset(prec,mld_sub_prol_, prectype%prol, info)
call mld_precset(prec,mld_sub_solve_, prectype%solve, info)
call mld_precset(prec,mld_sub_fillin_, prectype%fill1, info)
call mld_precset(prec,mld_sub_iluthrs_, prectype%thr1, info)
end if
call mld_inner_precset(prec,tlusv,info,ilev=nlv)
call psb_barrier(ictxt)
t1 = psb_wtime()
call mld_precbld(a,desc_a,prec,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='psb_precbld'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
tprec = psb_wtime()-t1
call psb_amx(ictxt,tprec)
if (iam == psb_root_) write(*,'("Preconditioner time : ",es12.5)')tprec
if (iam == psb_root_) call mld_precdescr(prec,info)
if (iam == psb_root_) write(*,'(" ")')
!
! iterative method parameters
!
if(iam == psb_root_) write(*,'("Calling iterative method ",a)')kmethd
call psb_barrier(ictxt)
t1 = psb_wtime()
call psb_krylov(kmethd,a,prec,b,x,eps,desc_a,info,&
& itmax=itmax,iter=iter,err=err,itrace=itrace,istop=istopc,irst=irst)
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(ictxt)
t2 = psb_wtime() - t1
call psb_amx(ictxt,t2)
amatsize = psb_sizeof(a)
descsize = psb_sizeof(desc_a)
precsize = mld_sizeof(prec)
call psb_sum(ictxt,amatsize)
call psb_sum(ictxt,descsize)
call psb_sum(ictxt,precsize)
if (iam == psb_root_) then
write(*,'(" ")')
write(*,'("Time to solve matrix : ",es12.5)')t2
write(*,'("Time per iteration : ",es12.5)')t2/iter
write(*,'("Number of iterations : ",i0)')iter
write(*,'("Convergence indicator on exit : ",es12.5)')err
write(*,'("Info on exit : ",i0)')info
write(*,'("Total memory occupation for A: ",i12)')amatsize
write(*,'("Total memory occupation for DESC_A: ",i12)')descsize
write(*,'("Total memory occupation for PREC: ",i12)')precsize
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 mld_precfree(prec,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
9999 continue
if(info /= psb_success_) then
call psb_error(ictxt)
end if
call psb_exit(ictxt)
stop
contains
!
! get iteration parameters from standard input
!
subroutine get_parms(ictxt,kmethd,prectype,afmt,idim,istopc,itmax,itrace,irst,eps)
integer :: ictxt
type(precdata) :: prectype
character(len=*) :: kmethd, afmt
integer :: idim, istopc,itmax,itrace,irst
integer :: np, iam, info
real(psb_dpk_) :: eps
character(len=20) :: buffer
call psb_info(ictxt, iam, np)
if (iam == psb_root_) then
call read_data(kmethd,5)
call read_data(afmt,5)
call read_data(idim,5)
call read_data(istopc,5)
call read_data(itmax,5)
call read_data(itrace,5)
call read_data(irst,5)
call read_data(eps,5)
call read_data(prectype%descr,5) ! verbose description of the prec
call read_data(prectype%prec,5) ! overall prectype
call read_data(prectype%novr,5) ! number of overlap layers
call read_data(prectype%restr,5) ! restriction over application of as
call read_data(prectype%prol,5) ! prolongation over application of as
call read_data(prectype%solve,5) ! Factorization type: ILU, SuperLU, UMFPACK.
call read_data(prectype%fill1,5) ! Fill-in for factorization 1
call read_data(prectype%thr1,5) ! Threshold for fact. 1 ILU(T)
call read_data(prectype%jsweeps,5) ! Jacobi sweeps for PJAC
if (psb_toupper(prectype%prec) == 'ML') then
call read_data(prectype%smther,5) ! Smoother type.
call read_data(prectype%nlev,5) ! Number of levels in multilevel prec.
call read_data(prectype%aggrkind,5) ! smoothed/raw aggregatin
call read_data(prectype%aggr_alg,5) ! local or global aggregation
call read_data(prectype%mltype,5) ! additive or multiplicative 2nd level prec
call read_data(prectype%smthpos,5) ! side: pre, post, both smoothing
call read_data(prectype%cmat,5) ! coarse mat
call read_data(prectype%csolve,5) ! Factorization type: ILU, SuperLU, UMFPACK.
call read_data(prectype%csbsolve,5) ! Factorization type: ILU, SuperLU, UMFPACK.
call read_data(prectype%cfill,5) ! Fill-in for factorization 1
call read_data(prectype%cthres,5) ! Threshold for fact. 1 ILU(T)
call read_data(prectype%cjswp,5) ! Jacobi sweeps
call read_data(prectype%athres,5) ! smoother aggr thresh
end if
end if
! broadcast parameters to all processors
call psb_bcast(ictxt,kmethd)
call psb_bcast(ictxt,afmt)
call psb_bcast(ictxt,idim)
call psb_bcast(ictxt,istopc)
call psb_bcast(ictxt,itmax)
call psb_bcast(ictxt,itrace)
call psb_bcast(ictxt,irst)
call psb_bcast(ictxt,eps)
call psb_bcast(ictxt,prectype%descr) ! verbose description of the prec
call psb_bcast(ictxt,prectype%prec) ! overall prectype
call psb_bcast(ictxt,prectype%novr) ! number of overlap layers
call psb_bcast(ictxt,prectype%restr) ! restriction over application of as
call psb_bcast(ictxt,prectype%prol) ! prolongation over application of as
call psb_bcast(ictxt,prectype%solve) ! Factorization type: ILU, SuperLU, UMFPACK.
call psb_bcast(ictxt,prectype%fill1) ! Fill-in for factorization 1
call psb_bcast(ictxt,prectype%thr1) ! Threshold for fact. 1 ILU(T)
call psb_bcast(ictxt,prectype%jsweeps) ! Jacobi sweeps
if (psb_toupper(prectype%prec) == 'ML') then
call psb_bcast(ictxt,prectype%smther) ! Smoother type.
call psb_bcast(ictxt,prectype%nlev) ! Number of levels in multilevel prec.
call psb_bcast(ictxt,prectype%aggrkind) ! smoothed/raw aggregatin
call psb_bcast(ictxt,prectype%aggr_alg) ! local or global aggregation
call psb_bcast(ictxt,prectype%mltype) ! additive or multiplicative 2nd level prec
call psb_bcast(ictxt,prectype%smthpos) ! side: pre, post, both smoothing
call psb_bcast(ictxt,prectype%cmat) ! coarse mat
call psb_bcast(ictxt,prectype%csolve) ! Factorization type: ILU, SuperLU, UMFPACK.
call psb_bcast(ictxt,prectype%csbsolve) ! Factorization type: ILU, SuperLU, UMFPACK.
call psb_bcast(ictxt,prectype%cfill) ! Fill-in for factorization 1
call psb_bcast(ictxt,prectype%cthres) ! Threshold for fact. 1 ILU(T)
call psb_bcast(ictxt,prectype%cjswp) ! Jacobi sweeps
call psb_bcast(ictxt,prectype%athres) ! smoother aggr thresh
end if
if (iam == psb_root_) then
write(*,'("Solving matrix : ell1")')
write(*,'("Grid dimensions : ",i4,"x",i4,"x",i4)')idim,idim,idim
write(*,'("Number of processors : ",i0)') np
write(*,'("Data distribution : BLOCK")')
write(*,'("Preconditioner : ",a)') prectype%descr
write(*,'("Iterative method : ",a)') kmethd
write(*,'(" ")')
endif
return
end subroutine get_parms
!
! print an error message
!
subroutine pr_usage(iout)
integer :: iout
write(iout,*)'incorrect parameter(s) found'
write(iout,*)' usage: pde90 methd prec dim &
&[istop itmax itrace]'
write(iout,*)' where:'
write(iout,*)' methd: cgstab cgs rgmres bicgstabl'
write(iout,*)' prec : bjac diag none'
write(iout,*)' dim number of points along each axis'
write(iout,*)' the size of the resulting linear '
write(iout,*)' system is dim**3'
write(iout,*)' istop stopping criterion 1, 2 '
write(iout,*)' itmax maximum number of iterations [500] '
write(iout,*)' itrace <=0 (no tracing, default) or '
write(iout,*)' >= 1 do tracing every itrace'
write(iout,*)' iterations '
end subroutine pr_usage
!
! subroutine to allocate and fill in the coefficient matrix and
! the rhs.
!
subroutine create_matrix(idim,a,b,xv,desc_a,ictxt,afmt,info)
!
! discretize the partial diferential equation
!
! b1 dd(u) b2 dd(u) b3 dd(u) a1 d(u) a2 d(u) a3 d(u)
! - ------ - ------ - ------ - ----- - ------ - ------ + a4 u
! dxdx dydy dzdz dx dy dz
!
! with Dirichlet boundary conditions, on the unit cube 0<=x,y,z<=1.
!
! Boundary conditions are set in a very simple way, by adding
! equations of the form
!
! u(x,y) = exp(-x^2-y^2-z^2)
!
! Note that if a1=a2=a3=a4=0., the PDE is the well-known Laplace equation.
!
use psb_sparse_mod
implicit none
integer :: idim
integer, parameter :: nb=20
real(psb_dpk_), allocatable :: b(:),xv(:)
type(psb_desc_type) :: desc_a
integer :: ictxt, info
character :: afmt*5
type(psb_dspmat_type) :: a
real(psb_dpk_) :: zt(nb),x,y,z
integer :: m,n,nnz,glob_row,nlr,i,ii,ib,k
integer :: ix,iy,iz,ia,indx_owner
integer :: np, iam, nr, nt
integer :: element
integer, allocatable :: irow(:),icol(:),myidx(:)
real(psb_dpk_), allocatable :: val(:)
! deltah dimension of each grid cell
! deltat discretization time
real(psb_dpk_) :: deltah
real(psb_dpk_),parameter :: rhs=0.d0,one=1.d0,zero=0.d0
real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen
real(psb_dpk_) :: a1, a2, a3, a4, b1, b2, b3
external :: a1, a2, a3, a4, b1, b2, b3
integer :: err_act
character(len=20) :: name, ch_err
info = psb_success_
name = 'create_matrix'
call psb_erractionsave(err_act)
call psb_info(ictxt, iam, np)
deltah = 1.d0/(idim-1)
! initialize array descriptor and sparse matrix storage. provide an
! estimate of the number of non zeroes
m = idim*idim*idim
n = m
nnz = ((n*9)/(np))
if(iam == psb_root_) write(*,'("Generating Matrix (size=",i0,")...")')n
!
! Using a simple BLOCK distribution.
!
nt = (m+np-1)/np
nr = max(0,min(nt,m-(iam*nt)))
nt = nr
call psb_sum(ictxt,nt)
if (nt /= m) write(0,*) iam, 'Initialization error ',nr,nt,m
call psb_barrier(ictxt)
t0 = psb_wtime()
call psb_cdall(ictxt,desc_a,info,nl=nr)
if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz)
! define rhs from boundary conditions; also build initial guess
if (info == psb_success_) call psb_geall(b,desc_a,info)
if (info == psb_success_) call psb_geall(xv,desc_a,info)
nlr = psb_cd_get_local_rows(desc_a)
call psb_barrier(ictxt)
talc = psb_wtime()-t0
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='allocation rout.'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
! we build an auxiliary matrix consisting of one row at a
! time; just a small matrix. might be extended to generate
! a bunch of rows per call.
!
allocate(val(20*nb),irow(20*nb),&
&icol(20*nb),myidx(nlr),stat=info)
if (info /= psb_success_ ) then
info=psb_err_alloc_dealloc_
call psb_errpush(info,name)
goto 9999
endif
do i=1,nlr
myidx(i) = i
end do
call psb_loc_to_glob(myidx,desc_a,info)
! loop over rows belonging to current process in a block
! distribution.
call psb_barrier(ictxt)
t1 = psb_wtime()
do ii=1, nlr,nb
ib = min(nb,nlr-ii+1)
element = 1
do k=1,ib
i=ii+k-1
! local matrix pointer
glob_row=myidx(i)
! compute gridpoint coordinates
if (mod(glob_row,(idim*idim)) == 0) then
ix = glob_row/(idim*idim)
else
ix = glob_row/(idim*idim)+1
endif
if (mod((glob_row-(ix-1)*idim*idim),idim) == 0) then
iy = (glob_row-(ix-1)*idim*idim)/idim
else
iy = (glob_row-(ix-1)*idim*idim)/idim+1
endif
iz = glob_row-(ix-1)*idim*idim-(iy-1)*idim
! x, y, x coordinates
x = ix*deltah
y = iy*deltah
z = iz*deltah
! check on boundary points
zt(k) = 0.d0
! internal point: build discretization
!
! term depending on (x-1,y,z)
!
if (ix == 1) then
val(element)=-b1(x,y,z)-a1(x,y,z)
val(element) = val(element)/(deltah*&
& deltah)
zt(k) = exp(-y**2-z**2)*(-val(element))
else
val(element)=-b1(x,y,z)-a1(x,y,z)
val(element) = val(element)/(deltah*&
& deltah)
icol(element) = (ix-2)*idim*idim+(iy-1)*idim+(iz)
irow(element) = glob_row
element = element+1
endif
! term depending on (x,y-1,z)
if (iy == 1) then
val(element)=-b2(x,y,z)-a2(x,y,z)
val(element) = val(element)/(deltah*&
& deltah)
zt(k) = exp(-y**2-z**2)*exp(-x)*(-val(element))
else
val(element)=-b2(x,y,z)-a2(x,y,z)
val(element) = val(element)/(deltah*deltah)
icol(element) = (ix-1)*idim*idim+(iy-2)*idim+(iz)
irow(element) = glob_row
element = element+1
endif
! term depending on (x,y,z-1)
if (iz == 1) then
val(element)=-b3(x,y,z)-a3(x,y,z)
val(element) = val(element)/(deltah*deltah)
zt(k) = exp(-y**2-z**2)*exp(-x)*(-val(element))
else
val(element)=-b3(x,y,z)-a3(x,y,z)
val(element) = val(element)/(deltah*deltah)
icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz-1)
irow(element) = glob_row
element = element+1
endif
! term depending on (x,y,z)
val(element)=2*b1(x,y,z) + 2*b2(x,y,z)&
& + 2*b3(x,y,z) + a1(x,y,z)&
& + a2(x,y,z) + a3(x,y,z)
val(element) = val(element)/(deltah*deltah)
icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz)
irow(element) = glob_row
element = element+1
! term depending on (x,y,z+1)
if (iz == idim) then
val(element)=-b1(x,y,z)
val(element) = val(element)/(deltah*deltah)
zt(k) = exp(-y**2-z**2)*exp(-x)*(-val(element))
else
val(element)=-b1(x,y,z)
val(element) = val(element)/(deltah*deltah)
icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz+1)
irow(element) = glob_row
element = element+1
endif
! term depending on (x,y+1,z)
if (iy == idim) then
val(element)=-b2(x,y,z)
val(element) = val(element)/(deltah*deltah)
zt(k) = exp(-y**2-z**2)*exp(-x)*(-val(element))
else
val(element)=-b2(x,y,z)
val(element) = val(element)/(deltah*deltah)
icol(element) = (ix-1)*idim*idim+(iy)*idim+(iz)
irow(element) = glob_row
element = element+1
endif
! term depending on (x+1,y,z)
if (ix<idim) then
val(element)=-b3(x,y,z)
val(element) = val(element)/(deltah*deltah)
icol(element) = (ix)*idim*idim+(iy-1)*idim+(iz)
irow(element) = glob_row
element = element+1
endif
end do
call psb_spins(element-1,irow,icol,val,a,desc_a,info)
if(info /= psb_success_) exit
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),b,desc_a,info)
if(info /= psb_success_) exit
zt(:)=0.d0
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
if(info /= psb_success_) exit
end do
tgen = psb_wtime()-t1
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='insert rout.'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
deallocate(val,irow,icol)
call psb_barrier(ictxt)
t1 = psb_wtime()
call psb_cdasb(desc_a,info)
if (info == psb_success_) &
& call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt)
call psb_barrier(ictxt)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='asb rout.'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_geasb(b,desc_a,info)
call psb_geasb(xv,desc_a,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='asb rout.'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
tasb = psb_wtime()-t1
call psb_barrier(ictxt)
ttot = psb_wtime() - t0
call psb_amx(ictxt,talc)
call psb_amx(ictxt,tgen)
call psb_amx(ictxt,tasb)
call psb_amx(ictxt,ttot)
if(iam == psb_root_) then
ch_err = a%get_fmt()
write(*,'("The matrix has been generated and assembled in ",a3," format.")')&
& ch_err(1:3)
write(*,'("-allocation time : ",es12.5)') talc
write(*,'("-coeff. gen. time : ",es12.5)') tgen
write(*,'("-assembly time : ",es12.5)') tasb
write(*,'("-total time : ",es12.5)') ttot
end if
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act == psb_act_abort_) then
call psb_error(ictxt)
return
end if
return
end subroutine create_matrix
end program ppde
!
! functions parametrizing the differential equation
!
function a1(x,y,z)
use psb_sparse_mod, only : psb_dpk_
real(psb_dpk_) :: a1
real(psb_dpk_) :: x,y,z
a1=1.d0
end function a1
function a2(x,y,z)
use psb_sparse_mod, only : psb_dpk_
real(psb_dpk_) :: a2
real(psb_dpk_) :: x,y,z
a2=2.d1*y
end function a2
function a3(x,y,z)
use psb_sparse_mod, only : psb_dpk_
real(psb_dpk_) :: a3
real(psb_dpk_) :: x,y,z
a3=1.d0
end function a3
function a4(x,y,z)
use psb_sparse_mod, only : psb_dpk_
real(psb_dpk_) :: a4
real(psb_dpk_) :: x,y,z
a4=1.d0
end function a4
function b1(x,y,z)
use psb_sparse_mod, only : psb_dpk_
real(psb_dpk_) :: b1
real(psb_dpk_) :: x,y,z
b1=1.d0
end function b1
function b2(x,y,z)
use psb_sparse_mod, only : psb_dpk_
real(psb_dpk_) :: b2
real(psb_dpk_) :: x,y,z
b2=1.d0
end function b2
function b3(x,y,z)
use psb_sparse_mod, only : psb_dpk_
real(psb_dpk_) :: b3
real(psb_dpk_) :: x,y,z
b3=1.d0
end function b3
+30
View File
@@ -0,0 +1,30 @@
BICGSTAB ! Iterative method: BiCGSTAB BiCG CGS RGMRES BiCGSTABL CG
CSR ! Storage format CSR COO JAD
040 ! IDIM; domain size is idim**3
2 ! ISTOPC
0200 ! ITMAX
-1 ! ITRACE
30 ! IRST (restart for RGMRES and BiCGSTABL)
1.d-6 ! EPS
3L-M-RAS-I-D4 ! Longer descriptive name for preconditioner (up to 20 chars)
ML ! Preconditioner NONE JACOBI BJAC AS ML
0 ! Number of overlap layers for AS preconditioner at finest level
HALO ! Restriction operator NONE HALO
NONE ! Prolongation operator NONE SUM AVG
ILU ! Subdomain solver DSCALE ILU MILU ILUT UMF SLU
0 ! Level-set N for ILU(N)
1.d-4 ! Threshold T for ILU(T,P)
1 ! Smoother/Jacobi sweeps
AS ! Smoother type JACOBI BJAC AS ignored for non-ML
3 ! Number of levels in a multilevel preconditioner
SMOOTHED ! Kind of aggregation: SMOOTHED, NONSMOOTHED, MINENERGY
DEC ! Type of aggregation DEC SYMDEC GLB
MULT ! Type of multilevel correction: ADD MULT
POST ! Side of multiplicative correction PRE POST TWOSIDE (ignored for ADD)
DIST ! Coarse level: matrix distribution DIST REPL
BJAC ! Coarse level: solver JACOBI BJAC UMF SLU SLUDIST
ILU ! Coarse level: subsolver DSCALE ILU UMF SLU SLUDIST
1 ! Coarse level: Level-set N for ILU(N)
1.d-4 ! Coarse level: Threshold T for ILU(T,P)
4 ! Coarse level: Number of Jacobi sweeps
0.10d0 ! Smoother Aggregation Threshold: >= 0.0
+745
View File
@@ -0,0 +1,745 @@
!!$
!!$
!!$ MLD2P4 version 2.0
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
!!$ based on PSBLAS (Parallel Sparse BLAS version 3.0)
!!$
!!$ (C) Copyright 2008,2009,2010
!!$
!!$ Salvatore Filippone University of Rome Tor Vergata
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
!!$ Pasqua D'Ambra ICAR-CNR, Naples
!!$ Daniela di Serafino Second University of Naples
!!$
!!$ 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 MLD2P4 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 MLD2P4 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: ppde.f90
!
! Program: ppde
! 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
!
! b1 dd(u) b2 dd(u) b3 dd(u) a1 d(u) a2 d(u) a3 d(u)
! - ------ - ------ - ------ - ----- - ------ - ------ + a4 u = 0
! dxdx dydy dzdz dx dy dz
!
! with Dirichlet boundary conditions, on the unit cube 0<=x,y,z<=1.
!
! Example taken from:
! C.T.Kelley
! Iterative Methods for Linear and Nonlinear Equations
! SIAM 1995
!
! In this sample program the index space of the discretized
! computational domain is first numbered sequentially in a standard way,
! then the corresponding vector is distributed according to a BLOCK
! data distribution.
!
! Boundary conditions are set in a very simple way, by adding
! equations of the form
!
! u(x,y) = exp(-x^2-y^2-z^2)
!
! Note that if a1=a2=a3=a4=0., the PDE is the well-known Laplace equation.
!
program spde
use psb_sparse_mod
use mld_prec_mod
use psb_krylov_mod
use psb_util_mod
use data_input
implicit none
! input parameters
character(len=20) :: kmethd, ptype
character(len=5) :: afmt
integer :: idim
! miscellaneous
real(psb_spk_), parameter :: one = 1.0
real(psb_dpk_) :: t1, t2, tprec
! sparse matrix and preconditioner
type(psb_sspmat_type) :: a
type(mld_sprec_type) :: prec
! descriptor
type(psb_desc_type) :: desc_a
! dense matrices
real(psb_spk_), allocatable :: b(:), x(:)
! blacs parameters
integer :: ictxt, iam, np
! solver parameters
integer :: iter, itmax,itrace, istopc, irst, nlv
integer(psb_long_int_k_) :: amatsize, precsize, descsize
real(psb_spk_) :: err, eps
type precdata
character(len=20) :: descr ! verbose description of the prec
character(len=10) :: prec ! overall prectype
integer :: novr ! number of overlap layers
integer :: jsweeps ! Jacobi/smoother sweeps
character(len=16) :: restr ! restriction over application of as
character(len=16) :: prol ! prolongation over application of as
character(len=16) :: solve ! Solver type: ILU, SuperLU, UMFPACK.
integer :: fill1 ! Fill-in for factorization 1
real(psb_spk_) :: thr1 ! Threshold for fact. 1 ILU(T)
character(len=16) :: smther ! Smoother
integer :: nlev ! Number of levels in multilevel prec.
character(len=16) :: aggrkind ! smoothed/raw aggregatin
character(len=16) :: aggr_alg ! local or global aggregation
character(len=16) :: mltype ! additive or multiplicative 2nd level prec
character(len=16) :: smthpos ! side: pre, post, both smoothing
character(len=16) :: cmat ! coarse mat
character(len=16) :: csolve ! Coarse solver: bjac, umf, slu, sludist
character(len=16) :: csbsolve ! Coarse subsolver: ILU, ILU(T), SuperLU, UMFPACK.
integer :: cfill ! Fill-in for factorization 1
real(psb_spk_) :: cthres ! Threshold for fact. 1 ILU(T)
integer :: cjswp ! Jacobi sweeps
real(psb_spk_) :: athres ! smoother aggregation threshold
end type precdata
type(precdata) :: prectype
! other variables
integer :: info
character(len=20) :: name,ch_err
info=psb_success_
call psb_init(ictxt)
call psb_info(ictxt,iam,np)
if (iam < 0) then
! This should not happen, but just in case
call psb_exit(ictxt)
stop
endif
if(psb_get_errstatus() /= 0) goto 9999
name='pde90'
call psb_set_errverbosity(2)
!
! get parameters
!
call get_parms(ictxt,kmethd,prectype,afmt,idim,istopc,itmax,itrace,irst,eps)
!
! allocate and fill in the coefficient matrix, rhs and initial guess
!
call psb_barrier(ictxt)
t1 = psb_wtime()
call create_matrix(idim,a,b,x,desc_a,ictxt,afmt,info)
call psb_barrier(ictxt)
t2 = psb_wtime() - t1
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='create_matrix'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
if (iam == psb_root_) write(*,'("Overall matrix creation time : ",es12.5)')t2
if (iam == psb_root_) write(*,'(" ")')
!
! prepare the preconditioner.
!
if (psb_toupper(prectype%prec) == 'ML') then
nlv = prectype%nlev
call mld_precinit(prec,prectype%prec, info, nlev=nlv)
call mld_precset(prec,mld_smoother_type_, prectype%smther, info)
call mld_precset(prec,mld_smoother_sweeps_, prectype%jsweeps, info)
call mld_precset(prec,mld_sub_ovr_, prectype%novr, info)
call mld_precset(prec,mld_sub_restr_, prectype%restr, info)
call mld_precset(prec,mld_sub_prol_, prectype%prol, info)
call mld_precset(prec,mld_sub_solve_, prectype%solve, info)
call mld_precset(prec,mld_sub_fillin_, prectype%fill1, info)
call mld_precset(prec,mld_sub_iluthrs_, prectype%thr1, info)
call mld_precset(prec,mld_aggr_kind_, prectype%aggrkind,info)
call mld_precset(prec,mld_aggr_alg_, prectype%aggr_alg,info)
call mld_precset(prec,mld_ml_type_, prectype%mltype, info)
call mld_precset(prec,mld_smoother_pos_, prectype%smthpos, info)
call mld_precset(prec,mld_aggr_thresh_, prectype%athres, info)
call mld_precset(prec,mld_coarse_solve_, prectype%csolve, info)
call mld_precset(prec,mld_coarse_subsolve_, prectype%csbsolve,info)
call mld_precset(prec,mld_coarse_mat_, prectype%cmat, info)
call mld_precset(prec,mld_coarse_fillin_, prectype%cfill, info)
call mld_precset(prec,mld_coarse_iluthrs_, prectype%cthres, info)
call mld_precset(prec,mld_coarse_sweeps_, prectype%cjswp, info)
else
nlv = 1
call mld_precinit(prec,prectype%prec, info, nlev=nlv)
call mld_precset(prec,mld_smoother_sweeps_, prectype%jsweeps, info)
call mld_precset(prec,mld_sub_ovr_, prectype%novr, info)
call mld_precset(prec,mld_sub_restr_, prectype%restr, info)
call mld_precset(prec,mld_sub_prol_, prectype%prol, info)
call mld_precset(prec,mld_sub_solve_, prectype%solve, info)
call mld_precset(prec,mld_sub_fillin_, prectype%fill1, info)
call mld_precset(prec,mld_sub_iluthrs_, prectype%thr1, info)
end if
call psb_barrier(ictxt)
t1 = psb_wtime()
call mld_precbld(a,desc_a,prec,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='psb_precbld'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
tprec = psb_wtime()-t1
call psb_amx(ictxt,tprec)
if (iam == psb_root_) write(*,'("Preconditioner time : ",es12.5)')tprec
if (iam == psb_root_) call mld_precdescr(prec,info)
if (iam == psb_root_) write(*,'(" ")')
!
! iterative method parameters
!
if(iam == psb_root_) write(*,'("Calling iterative method ",a)')kmethd
call psb_barrier(ictxt)
t1 = psb_wtime()
call psb_krylov(kmethd,a,prec,b,x,eps,desc_a,info,&
& itmax=itmax,iter=iter,err=err,itrace=itrace,istop=istopc,irst=irst)
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(ictxt)
t2 = psb_wtime() - t1
call psb_amx(ictxt,t2)
amatsize = psb_sizeof(a)
descsize = psb_sizeof(desc_a)
precsize = mld_sizeof(prec)
call psb_sum(ictxt,amatsize)
call psb_sum(ictxt,descsize)
call psb_sum(ictxt,precsize)
if (iam == psb_root_) then
write(*,'(" ")')
write(*,'("Time to solve matrix : ",es12.5)')t2
write(*,'("Time per iteration : ",es12.5)')t2/iter
write(*,'("Number of iterations : ",i0)')iter
write(*,'("Convergence indicator on exit : ",es12.5)')err
write(*,'("Info on exit : ",i0)')info
write(*,'("Total memory occupation for A: ",i12)')amatsize
write(*,'("Total memory occupation for DESC_A: ",i12)')descsize
write(*,'("Total memory occupation for PREC: ",i12)')precsize
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 mld_precfree(prec,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
9999 continue
if(info /= psb_success_) then
call psb_error(ictxt)
end if
call psb_exit(ictxt)
stop
contains
!
! get iteration parameters from standard input
!
subroutine get_parms(ictxt,kmethd,prectype,afmt,idim,istopc,itmax,itrace,irst,eps)
integer :: ictxt
type(precdata) :: prectype
character(len=*) :: kmethd, afmt
integer :: idim, istopc,itmax,itrace,irst
integer :: np, iam, info
real(psb_spk_) :: eps
character(len=20) :: buffer
call psb_info(ictxt, iam, np)
if (iam == psb_root_) then
call read_data(kmethd,5)
call read_data(afmt,5)
call read_data(idim,5)
call read_data(istopc,5)
call read_data(itmax,5)
call read_data(itrace,5)
call read_data(irst,5)
call read_data(eps,5)
call read_data(prectype%descr,5) ! verbose description of the prec
call read_data(prectype%prec,5) ! overall prectype
call read_data(prectype%novr,5) ! number of overlap layers
call read_data(prectype%restr,5) ! restriction over application of as
call read_data(prectype%prol,5) ! prolongation over application of as
call read_data(prectype%solve,5) ! Factorization type: ILU, SuperLU, UMFPACK.
call read_data(prectype%fill1,5) ! Fill-in for factorization 1
call read_data(prectype%thr1,5) ! Threshold for fact. 1 ILU(T)
call read_data(prectype%jsweeps,5) ! Jacobi sweeps for PJAC
if (psb_toupper(prectype%prec) == 'ML') then
call read_data(prectype%smther,5) ! Smoother type.
call read_data(prectype%nlev,5) ! Number of levels in multilevel prec.
call read_data(prectype%aggrkind,5) ! smoothed/raw aggregatin
call read_data(prectype%aggr_alg,5) ! local or global aggregation
call read_data(prectype%mltype,5) ! additive or multiplicative 2nd level prec
call read_data(prectype%smthpos,5) ! side: pre, post, both smoothing
call read_data(prectype%cmat,5) ! coarse mat
call read_data(prectype%csolve,5) ! Factorization type: ILU, SuperLU, UMFPACK.
call read_data(prectype%csbsolve,5) ! Factorization type: ILU, SuperLU, UMFPACK.
call read_data(prectype%cfill,5) ! Fill-in for factorization 1
call read_data(prectype%cthres,5) ! Threshold for fact. 1 ILU(T)
call read_data(prectype%cjswp,5) ! Jacobi sweeps
call read_data(prectype%athres,5) ! smoother aggr thresh
end if
end if
! broadcast parameters to all processors
call psb_bcast(ictxt,kmethd)
call psb_bcast(ictxt,afmt)
call psb_bcast(ictxt,idim)
call psb_bcast(ictxt,istopc)
call psb_bcast(ictxt,itmax)
call psb_bcast(ictxt,itrace)
call psb_bcast(ictxt,irst)
call psb_bcast(ictxt,eps)
call psb_bcast(ictxt,prectype%descr) ! verbose description of the prec
call psb_bcast(ictxt,prectype%prec) ! overall prectype
call psb_bcast(ictxt,prectype%novr) ! number of overlap layers
call psb_bcast(ictxt,prectype%restr) ! restriction over application of as
call psb_bcast(ictxt,prectype%prol) ! prolongation over application of as
call psb_bcast(ictxt,prectype%solve) ! Factorization type: ILU, SuperLU, UMFPACK.
call psb_bcast(ictxt,prectype%fill1) ! Fill-in for factorization 1
call psb_bcast(ictxt,prectype%thr1) ! Threshold for fact. 1 ILU(T)
call psb_bcast(ictxt,prectype%jsweeps) ! Jacobi sweeps
if (psb_toupper(prectype%prec) == 'ML') then
call psb_bcast(ictxt,prectype%smther) ! Smoother type.
call psb_bcast(ictxt,prectype%nlev) ! Number of levels in multilevel prec.
call psb_bcast(ictxt,prectype%aggrkind) ! smoothed/raw aggregatin
call psb_bcast(ictxt,prectype%aggr_alg) ! local or global aggregation
call psb_bcast(ictxt,prectype%mltype) ! additive or multiplicative 2nd level prec
call psb_bcast(ictxt,prectype%smthpos) ! side: pre, post, both smoothing
call psb_bcast(ictxt,prectype%cmat) ! coarse mat
call psb_bcast(ictxt,prectype%csolve) ! Factorization type: ILU, SuperLU, UMFPACK.
call psb_bcast(ictxt,prectype%csbsolve) ! Factorization type: ILU, SuperLU, UMFPACK.
call psb_bcast(ictxt,prectype%cfill) ! Fill-in for factorization 1
call psb_bcast(ictxt,prectype%cthres) ! Threshold for fact. 1 ILU(T)
call psb_bcast(ictxt,prectype%cjswp) ! Jacobi sweeps
call psb_bcast(ictxt,prectype%athres) ! smoother aggr thresh
end if
if (iam == psb_root_) then
write(*,'("Solving matrix : ell1")')
write(*,'("Grid dimensions : ",i4,"x",i4,"x",i4)')idim,idim,idim
write(*,'("Number of processors : ",i0)') np
write(*,'("Data distribution : BLOCK")')
write(*,'("Preconditioner : ",a)') prectype%descr
write(*,'("Iterative method : ",a)') kmethd
write(*,'(" ")')
endif
return
end subroutine get_parms
!
! print an error message
!
subroutine pr_usage(iout)
integer :: iout
write(iout,*)'incorrect parameter(s) found'
write(iout,*)' usage: pde90 methd prec dim &
&[istop itmax itrace]'
write(iout,*)' where:'
write(iout,*)' methd: cgstab cgs rgmres bicgstabl'
write(iout,*)' prec : bjac diag none'
write(iout,*)' dim number of points along each axis'
write(iout,*)' the size of the resulting linear '
write(iout,*)' system is dim**3'
write(iout,*)' istop stopping criterion 1, 2 '
write(iout,*)' itmax maximum number of iterations [500] '
write(iout,*)' itrace <=0 (no tracing, default) or '
write(iout,*)' >= 1 do tracing every itrace'
write(iout,*)' iterations '
end subroutine pr_usage
!
! subroutine to allocate and fill in the coefficient matrix and
! the rhs.
!
subroutine create_matrix(idim,a,b,xv,desc_a,ictxt,afmt,info)
!
! discretize the partial diferential equation
!
! b1 dd(u) b2 dd(u) b3 dd(u) a1 d(u) a2 d(u) a3 d(u)
! - ------ - ------ - ------ - ----- - ------ - ------ + a4 u
! dxdx dydy dzdz dx dy dz
!
! with Dirichlet boundary conditions, on the unit cube 0<=x,y,z<=1.
!
! Boundary conditions are set in a very simple way, by adding
! equations of the form
!
! u(x,y) = exp(-x^2-y^2-z^2)
!
! Note that if a1=a2=a3=a4=0., the PDE is the well-known Laplace equation.
!
use psb_sparse_mod
implicit none
integer :: idim
integer, parameter :: nb=20
real(psb_spk_), allocatable :: b(:),xv(:)
type(psb_desc_type) :: desc_a
integer :: ictxt, info
character :: afmt*5
type(psb_sspmat_type) :: a
real(psb_spk_) :: zt(nb),x,y,z
integer :: m,n,nnz,glob_row,nlr,i,ii,ib,k
integer :: ix,iy,iz,ia,indx_owner
integer :: np, iam, nr, nt
integer :: element
integer, allocatable :: irow(:),icol(:),myidx(:)
real(psb_spk_), allocatable :: val(:)
! deltah dimension of each grid cell
! deltat discretization time
real(psb_spk_) :: deltah
real(psb_spk_),parameter :: rhs=0.0,one=1.0,zero=0.0
real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen
real(psb_spk_) :: a1, a2, a3, a4, b1, b2, b3
external :: a1, a2, a3, a4, b1, b2, b3
integer :: err_act
character(len=20) :: name, ch_err
info = psb_success_
name = 'create_matrix'
call psb_erractionsave(err_act)
call psb_info(ictxt, iam, np)
deltah = 1.0/(idim-1)
! initialize array descriptor and sparse matrix storage. provide an
! estimate of the number of non zeroes
m = idim*idim*idim
n = m
nnz = ((n*9)/(np))
if(iam == psb_root_) write(0,'("Generating Matrix (size=",i0,")...")')n
!
! Using a simple BLOCK distribution.
!
nt = (m+np-1)/np
nr = max(0,min(nt,m-(iam*nt)))
nt = nr
call psb_sum(ictxt,nt)
if (nt /= m) write(0,*) iam, 'Initialization error ',nr,nt,m
call psb_barrier(ictxt)
t0 = psb_wtime()
call psb_cdall(ictxt,desc_a,info,nl=nr)
if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz)
! define rhs from boundary conditions; also build initial guess
if (info == psb_success_) call psb_geall(b,desc_a,info)
if (info == psb_success_) call psb_geall(xv,desc_a,info)
nlr = psb_cd_get_local_rows(desc_a)
call psb_barrier(ictxt)
talc = psb_wtime()-t0
if (info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='allocation rout.'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
! we build an auxiliary matrix consisting of one row at a
! time; just a small matrix. might be extended to generate
! a bunch of rows per call.
!
allocate(val(20*nb),irow(20*nb),&
&icol(20*nb),myidx(nlr),stat=info)
if (info /= psb_success_ ) then
info=psb_err_alloc_dealloc_
call psb_errpush(info,name)
goto 9999
endif
do i=1,nlr
myidx(i) = i
end do
call psb_loc_to_glob(myidx,desc_a,info)
! loop over rows belonging to current process in a block
! distribution.
call psb_barrier(ictxt)
t1 = psb_wtime()
do ii=1, nlr,nb
ib = min(nb,nlr-ii+1)
element = 1
do k=1,ib
i=ii+k-1
! local matrix pointer
glob_row=myidx(i)
! compute gridpoint coordinates
if (mod(glob_row,(idim*idim)) == 0) then
ix = glob_row/(idim*idim)
else
ix = glob_row/(idim*idim)+1
endif
if (mod((glob_row-(ix-1)*idim*idim),idim) == 0) then
iy = (glob_row-(ix-1)*idim*idim)/idim
else
iy = (glob_row-(ix-1)*idim*idim)/idim+1
endif
iz = glob_row-(ix-1)*idim*idim-(iy-1)*idim
! x, y, x coordinates
x = ix*deltah
y = iy*deltah
z = iz*deltah
! check on boundary points
zt(k) = 0.d0
! internal point: build discretization
!
! term depending on (x-1,y,z)
!
if (ix == 1) then
val(element)=-b1(x,y,z)-a1(x,y,z)
val(element) = val(element)/(deltah*&
& deltah)
zt(k) = exp(-y**2-z**2)*(-val(element))
else
val(element)=-b1(x,y,z)-a1(x,y,z)
val(element) = val(element)/(deltah*&
& deltah)
icol(element) = (ix-2)*idim*idim+(iy-1)*idim+(iz)
irow(element) = glob_row
element = element+1
endif
! term depending on (x,y-1,z)
if (iy == 1) then
val(element)=-b2(x,y,z)-a2(x,y,z)
val(element) = val(element)/(deltah*&
& deltah)
zt(k) = exp(-y**2-z**2)*exp(-x)*(-val(element))
else
val(element)=-b2(x,y,z)-a2(x,y,z)
val(element) = val(element)/(deltah*deltah)
icol(element) = (ix-1)*idim*idim+(iy-2)*idim+(iz)
irow(element) = glob_row
element = element+1
endif
! term depending on (x,y,z-1)
if (iz == 1) then
val(element)=-b3(x,y,z)-a3(x,y,z)
val(element) = val(element)/(deltah*deltah)
zt(k) = exp(-y**2-z**2)*exp(-x)*(-val(element))
else
val(element)=-b3(x,y,z)-a3(x,y,z)
val(element) = val(element)/(deltah*deltah)
icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz-1)
irow(element) = glob_row
element = element+1
endif
! term depending on (x,y,z)
val(element)=2*b1(x,y,z) + 2*b2(x,y,z)&
& + 2*b3(x,y,z) + a1(x,y,z)&
& + a2(x,y,z) + a3(x,y,z)
val(element) = val(element)/(deltah*deltah)
icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz)
irow(element) = glob_row
element = element+1
! term depending on (x,y,z+1)
if (iz == idim) then
val(element)=-b1(x,y,z)
val(element) = val(element)/(deltah*deltah)
zt(k) = exp(-y**2-z**2)*exp(-x)*(-val(element))
else
val(element)=-b1(x,y,z)
val(element) = val(element)/(deltah*deltah)
icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz+1)
irow(element) = glob_row
element = element+1
endif
! term depending on (x,y+1,z)
if (iy == idim) then
val(element)=-b2(x,y,z)
val(element) = val(element)/(deltah*deltah)
zt(k) = exp(-y**2-z**2)*exp(-x)*(-val(element))
else
val(element)=-b2(x,y,z)
val(element) = val(element)/(deltah*deltah)
icol(element) = (ix-1)*idim*idim+(iy)*idim+(iz)
irow(element) = glob_row
element = element+1
endif
! term depending on (x+1,y,z)
if (ix<idim) then
val(element)=-b3(x,y,z)
val(element) = val(element)/(deltah*deltah)
icol(element) = (ix)*idim*idim+(iy-1)*idim+(iz)
irow(element) = glob_row
element = element+1
endif
end do
call psb_spins(element-1,irow,icol,val,a,desc_a,info)
if(info /= psb_success_) exit
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),b,desc_a,info)
if(info /= psb_success_) exit
zt(:)=0.d0
call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info)
if(info /= psb_success_) exit
end do
tgen = psb_wtime()-t1
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='insert rout.'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
deallocate(val,irow,icol)
call psb_barrier(ictxt)
t1 = psb_wtime()
call psb_cdasb(desc_a,info)
if (info == psb_success_) &
& call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt)
call psb_barrier(ictxt)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='asb rout.'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_geasb(b,desc_a,info)
call psb_geasb(xv,desc_a,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='asb rout.'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
tasb = psb_wtime()-t1
call psb_barrier(ictxt)
ttot = psb_wtime() - t0
call psb_amx(ictxt,talc)
call psb_amx(ictxt,tgen)
call psb_amx(ictxt,tasb)
call psb_amx(ictxt,ttot)
if(iam == psb_root_) then
ch_err = a%get_fmt()
write(*,'("The matrix has been generated and assembled in ",a3," format.")')&
& ch_err(1:3)
write(*,'("-allocation time : ",es12.5)') talc
write(*,'("-coeff. gen. time : ",es12.5)') tgen
write(*,'("-assembly time : ",es12.5)') tasb
write(*,'("-total time : ",es12.5)') ttot
end if
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act == psb_act_abort_) then
call psb_error(ictxt)
return
end if
return
end subroutine create_matrix
end program spde
!
! functions parametrizing the differential equation
!
function a1(x,y,z)
use psb_sparse_mod, only : psb_spk_
real(psb_spk_) :: a1
real(psb_spk_) :: x,y,z
a1=1.e0
end function a1
function a2(x,y,z)
use psb_sparse_mod, only : psb_spk_
real(psb_spk_) :: a2
real(psb_spk_) :: x,y,z
a2=2.e1*y
end function a2
function a3(x,y,z)
use psb_sparse_mod, only : psb_spk_
real(psb_spk_) :: a3
real(psb_spk_) :: x,y,z
a3=1.e0
end function a3
function a4(x,y,z)
use psb_sparse_mod, only : psb_spk_
real(psb_spk_) :: a4
real(psb_spk_) :: x,y,z
a4=1.e0
end function a4
function b1(x,y,z)
use psb_sparse_mod, only : psb_spk_
real(psb_spk_) :: b1
real(psb_spk_) :: x,y,z
b1=1.e0
end function b1
function b2(x,y,z)
use psb_sparse_mod, only : psb_spk_
real(psb_spk_) :: b2
real(psb_spk_) :: x,y,z
b2=1.e0
end function b2
function b3(x,y,z)
use psb_sparse_mod, only : psb_spk_
real(psb_spk_) :: b3
real(psb_spk_) :: x,y,z
b3=1.e0
end function b3
+1 -1
View File
@@ -217,7 +217,7 @@ program ppde
end if
tprec = psb_wtime()-t1
call prec%dump(info,prefix='test-ml',ac=.true.,solver=.true.,smoother=.true.)
!!$ call prec%dump(info,prefix='test-ml',ac=.true.,solver=.true.,smoother=.true.)
call psb_amx(ictxt,tprec)
+7 -7
View File
@@ -1,6 +1,6 @@
BICGSTAB ! Iterative method: BiCGSTAB BiCG CGS RGMRES BiCGSTABL CG
CSR ! Storage format CSR COO JAD
003 ! IDIM; domain size is idim**3
040 ! IDIM; domain size is idim**3
2 ! ISTOPC
0002 ! ITMAX
01 ! ITRACE
@@ -15,16 +15,16 @@ ILU ! Subdomain solver DSCALE ILU MILU ILUT UMF SLU
1 ! Level-set N for ILU(N)
1.d-4 ! Threshold T for ILU(T,P)
1 ! Smoother/Jacobi sweeps
AS ! Smoother type JACOBI BJAC AS ignored for non-ML
2 ! Number of levels in a multilevel preconditioner
SMOOTHED ! Kind of aggregation: SMOOTHED, NONSMOOTHED, MINENERGY
AS ! Smoother type JACOBI BJAC AS; ignored for non-ML
3 ! Number of levels in a multilevel preconditioner
SMOOTHED ! Kind of aggregation: SMOOTHED, NONSMOOTHED
DEC ! Type of aggregation DEC SYMDEC GLB
MULT ! Type of multilevel correction: ADD MULT
POST ! Side of multiplicative correction PRE POST TWOSIDE (ignored for ADD)
POST ! Side of correction PRE POST TWOSIDE (ignored for ADD)
DIST ! Coarse level: matrix distribution DIST REPL
BJAC ! Coarse level: solver JACOBI BJAC UMF SLU SLUDIST
ILU ! Coarse level: subsolver DSCALE ILU UMF SLU SLUDIST
0 ! Coarse level: Level-set N for ILU(N)
UMF ! Coarse level: subsolver DSCALE ILU UMF SLU SLUDIST
1 ! Coarse level: Level-set N for ILU(N)
1.d-4 ! Coarse level: Threshold T for ILU(T,P)
4 ! Coarse level: Number of Jacobi sweeps
0.10d0 ! Smoother Aggregation Threshold: >= 0.0