mld2p4:
docs/pdf/building.tex docs/pdf/distribution.tex docs/pdf/license.tex docs/pdf/userinterface.tex examples examples/fileread examples/fileread/Makefile examples/fileread/data_input.f90 examples/fileread/mld_dexample_1lev.f90 examples/fileread/mld_dexample_ml.f90 examples/fileread/runs examples/pdegen examples/pdegen/Makefile examples/pdegen/data_input.f90 examples/pdegen/mld_dexample_1lev.f90 examples/pdegen/mld_dexample_ml.f90 examples/pdegen/runs test/fileread/Makefile test/fileread/df_bench.f90 test/fileread/runs/drt.sh test/fileread/zf_bench.f90 test/pargen/Makefile test/pargen/ppde.f90 test/pargen/spde.f90 Added exampels directory. Cleaned up/aligned test/pargen. Moved out Xf_bench to psb_bench.stopcriterion
parent
23cdcff940
commit
a9722dc049
@ -1,13 +1,63 @@
|
||||
\section{Configuring and Building MLD2P4\label{sec:building}}
|
||||
\markboth{\textsc{MLD2P4 User's and Reference Guide}}
|
||||
{\textsc{\ref{sec:building} Configuring and Building MLD2P4}}
|
||||
- uso di GNU autoconf e automake, con riferimento alla compilazione delle varie versioni
|
||||
(reale/complessa, singola/doppia precisione) \\
|
||||
- software di base (MPI, BLACS, BLAS, PSBLAS - specificare versioni)\\
|
||||
To build MLD2P4 it is necessary to set up a Makefile with appropriate
|
||||
values for your system; this is done by means of the \verb|configure|
|
||||
script. The distribution also includes the autoconf and automake
|
||||
sources employed to generate the script, but this should not normally
|
||||
be needed to build the software.
|
||||
|
||||
MLD2P4 is implemented almost entirely in Fortran~95, with some
|
||||
interfaces to external libraries in C; we require the Fortran compiler
|
||||
to support the Fortran~95 standard plus the extension TR15581, which
|
||||
enhances the usability of \verb|ALLOCATABLE| variables. Most modern
|
||||
Fortran compilers, including the GNU Fortran compiler, support this
|
||||
language level. The software defines data types and interfaces for
|
||||
real and complex data, in both single and double precision.
|
||||
|
||||
\subsection{Prerequisites}
|
||||
The following base libraries are needed:
|
||||
\begin{description}
|
||||
\item[BLAS] The Basic Linear Algebra subprograms. Many vendors provide
|
||||
optimized versions; if no vendor version is available for a given
|
||||
platform, the ATLAS software \verb!http://www.netlib.org/atlas!
|
||||
may be employed. The reference BLAS from Netlib
|
||||
\verb|htt://www.netlib.org/blas| are meant to define the standard
|
||||
behaviour of the BLAS interface, so they not optimized for any
|
||||
particular plaftorm, and they should only be used as a last
|
||||
resort; note that BLAS computation form a relatively small part of
|
||||
the MLD2P4/PSBLAS computations, except when using preconditioners
|
||||
based on the UMFPACK or SuperLU third party libraries.
|
||||
\item[MPI] A version of MPI is available on most high performance
|
||||
computing system; we only require version 1.1.
|
||||
\item[BLACS] The Basic Linear Algebra Communication Subroutines are
|
||||
available in source form from \verb|http://www.netlib.org/blacs|;
|
||||
some vendors include them in their parallel computing
|
||||
support libraries.
|
||||
\end{description}
|
||||
|
||||
The MLD2P4 software requires PSBLAS version 2.3 (at least), available
|
||||
from \verb|http://www.ce.uniroma2.it/psblas|; indeed, all the
|
||||
prerequisites listed so fare are also prerequisites of PSBLAS. Please
|
||||
note that to build the MLD2P4 library it is necessary to get access to
|
||||
the source PSBLAS directory used to build the version under use; after
|
||||
the build process completes, only the compiled form of the library is
|
||||
necessary to build user applications.
|
||||
|
||||
Please note that all the libraries listed so fare (BLAS, MPI, BLACS,
|
||||
PSBLAS) must have Fortran interfaces compatible with the MLD2P4;
|
||||
usually this means that they should all be built with the same
|
||||
compiler.
|
||||
|
||||
|
||||
\subsection{Optional third party libraries}
|
||||
|
||||
- software `third party" (UMFPACK, SuperLU, SuperLUdist - specificare versioni e opzioni di
|
||||
configure, dire che UMFPACK e SuperLU sono richiesti, rispettivamente, dalle versioni in
|
||||
singola ed in doppia precisione.)\\
|
||||
- sistemi operativi e compilatori su cui MLD2P4 e' stato implementato con successo \\
|
||||
\subsection{Configuration options}
|
||||
- sistemi operativi e compilatori su cui MLD2P4 e' stato
|
||||
implementato con successo \\
|
||||
- sono previste opzioni di configurazione per il debugging o per il profiling? \\
|
||||
- albero delle directory generato al momento dell'installazione, con brevissima
|
||||
descrizione del contenuto delle directory - aggiungere la directory \texttt{examples}\\
|
||||
|
@ -0,0 +1,40 @@
|
||||
MLDDIR=../..
|
||||
include $(MLDDIR)/Make.inc
|
||||
PSBDIR=$(PSBLASDIR)/lib/
|
||||
MLDLIBDIR=$(MLDDIR)/lib
|
||||
MLD_LIB=-L$(MLDLIBDIR) -lmld_krylov -lmld_prec
|
||||
PSBLAS_LIB= -L$(PSBDIR) -lpsb_util -lpsb_base
|
||||
FINCLUDES=$(FMFLAG). $(FMFLAG)$(MLDLIBDIR) $(FMFLAG)$(PSBDIR) $(FIFLAG).
|
||||
|
||||
DMOBJS=mld_dexample_ml.o data_input.o
|
||||
D1OBJS=mld_dexample_1lev.o data_input.o
|
||||
|
||||
EXEDIR=./runs
|
||||
|
||||
all: mld_dexample_ml mld_dexample_1lev
|
||||
|
||||
mld_dexample_ml: $(DMOBJS)
|
||||
$(F90LINK) $(LINKOPT) $(DMOBJS) -o mld_dexample_ml \
|
||||
$(MLD_LIB) $(PSBLAS_LIB) $(LDLIBS)
|
||||
/bin/mv mld_dexample_ml $(EXEDIR)
|
||||
|
||||
mld_dexample_1lev: $(D1OBJS)
|
||||
$(F90LINK) $(LINKOPT) $(D1OBJS) -o mld_dexample_1lev \
|
||||
$(MLD_LIB) $(PSBLAS_LIB) $(LDLIBS)
|
||||
/bin/mv mld_dexample_1lev $(EXEDIR)
|
||||
|
||||
mld_dexample_ml.o: data_input.o
|
||||
mld_dexample_1lev.o: data_input.o
|
||||
|
||||
.f90.o:
|
||||
$(MPF90) $(F90COPT) $(FINCLUDES) -c $<
|
||||
|
||||
clean:
|
||||
/bin/rm -f $(DMOBJS) $(D1OBJS) \
|
||||
*$(.mod) $(EXEDIR)/mld_dexample_ml $(EXEDIR)/mld_dexample_1lev
|
||||
|
||||
lib:
|
||||
(cd ../../; make library)
|
||||
verycleanlib:
|
||||
(cd ../../; make veryclean)
|
||||
|
@ -0,0 +1,91 @@
|
||||
!!$
|
||||
!!$
|
||||
!!$ MLD2P4 version 1.0
|
||||
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
||||
!!$ based on PSBLAS (Parallel Sparse BLAS version 2.2)
|
||||
!!$
|
||||
!!$ (C) Copyright 2008
|
||||
!!$
|
||||
!!$ Salvatore Filippone University of Rome Tor Vergata
|
||||
!!$ Alfredo Buttari University of Rome Tor Vergata
|
||||
!!$ 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
|
||||
end interface read_data
|
||||
|
||||
contains
|
||||
|
||||
subroutine read_char(val,file)
|
||||
character(len=*), intent(out) :: val
|
||||
integer, intent(in) :: file
|
||||
character(len=1024) :: charbuf
|
||||
integer :: idx
|
||||
read(file,'(a)')charbuf
|
||||
charbuf = adjustl(charbuf)
|
||||
idx=index(charbuf,"!")
|
||||
read(charbuf(1:idx-1),'(a)') val
|
||||
end subroutine read_char
|
||||
subroutine read_int(val,file)
|
||||
integer, intent(out) :: val
|
||||
integer, intent(in) :: file
|
||||
character(len=1024) :: charbuf
|
||||
integer :: idx
|
||||
read(file,'(a)')charbuf
|
||||
charbuf = adjustl(charbuf)
|
||||
idx=index(charbuf,"!")
|
||||
read(charbuf(1:idx-1),*) val
|
||||
end subroutine read_int
|
||||
subroutine read_single(val,file)
|
||||
use psb_base_mod
|
||||
real(psb_spk_), intent(out) :: val
|
||||
integer, intent(in) :: file
|
||||
character(len=1024) :: charbuf
|
||||
integer :: idx
|
||||
read(file,'(a)')charbuf
|
||||
charbuf = adjustl(charbuf)
|
||||
idx=index(charbuf,"!")
|
||||
read(charbuf(1:idx-1),*) val
|
||||
end subroutine read_single
|
||||
subroutine read_double(val,file)
|
||||
use psb_base_mod
|
||||
real(psb_dpk_), intent(out) :: val
|
||||
integer, intent(in) :: file
|
||||
character(len=1024) :: charbuf
|
||||
integer :: idx
|
||||
read(file,'(a)')charbuf
|
||||
charbuf = adjustl(charbuf)
|
||||
idx=index(charbuf,"!")
|
||||
read(charbuf(1:idx-1),*) val
|
||||
end subroutine read_double
|
||||
end module data_input
|
||||
|
@ -0,0 +1,309 @@
|
||||
!!$
|
||||
!!$
|
||||
!!$ MLD2P4 version 1.0
|
||||
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
||||
!!$ based on PSBLAS (Parallel Sparse BLAS version 2.2)
|
||||
!!$
|
||||
!!$ (C) Copyright 2008
|
||||
!!$
|
||||
!!$ Salvatore Filippone University of Rome Tor Vergata
|
||||
!!$ Alfredo Buttari University of Rome Tor Vergata
|
||||
!!$ 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: mld_dexample_ml.f90
|
||||
!
|
||||
! This sample program solves a linear system by using BiCGStab preconditioned by
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 6.1
|
||||
! of the MLD2P4 User's and Reference Guide.
|
||||
!
|
||||
! The matrix and the rhs are read from files (if an rhs is not available, the
|
||||
! unit rhs is set).
|
||||
!
|
||||
program mld_dexample_ml
|
||||
use psb_base_mod
|
||||
use mld_prec_mod
|
||||
use psb_krylov_mod
|
||||
use psb_util_mod
|
||||
use data_input
|
||||
|
||||
implicit none
|
||||
|
||||
! input parameters
|
||||
character(len=40) :: mtrx_file, rhs_file
|
||||
|
||||
! sparse matrices
|
||||
type(psb_dspmat_type) :: A, aux_A
|
||||
|
||||
! descriptor of sparse matrices
|
||||
type(psb_desc_type):: desc_A
|
||||
|
||||
! preconditioner
|
||||
type(mld_dprec_type) :: P
|
||||
|
||||
! right-hand side, solution and residual vectors
|
||||
real(psb_dpk_), allocatable , save :: b(:), x(:), r(:), &
|
||||
& x_glob(:), r_glob(:)
|
||||
real(psb_dpk_), allocatable, target :: aux_b(:,:)
|
||||
real(psb_dpk_), pointer :: b_glob(:)
|
||||
|
||||
! solver and preconditioner parameters
|
||||
real(psb_dpk_) :: tol, err
|
||||
integer :: itmax, iter, istop
|
||||
integer :: nlev
|
||||
|
||||
! parallel environment parameters
|
||||
integer :: ictxt, iam, np
|
||||
|
||||
! other variables
|
||||
integer :: i,info,j,m_problem,amatsize,descsize,precsize
|
||||
integer :: ierr, ircode
|
||||
real(psb_dpk_) :: t1, t2, tprec, resmx, resmxp
|
||||
character(len=20) :: name
|
||||
|
||||
! initialize the parallel environment
|
||||
|
||||
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
|
||||
|
||||
name='mld_dexample_ml'
|
||||
if(psb_get_errstatus() /= 0) goto 9999
|
||||
info=0
|
||||
call psb_set_errverbosity(2)
|
||||
|
||||
! get parameters
|
||||
|
||||
call get_parms(ictxt,mtrx_file,rhs_file,itmax,tol)
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
|
||||
! read and assemble the matrix A and the right-hand side b
|
||||
! using PSBLAS routines for sparse matrix / vector management
|
||||
|
||||
if (iam==psb_root_) then
|
||||
call read_mat(mtrx_file, aux_A, ictxt)
|
||||
|
||||
m_problem = aux_A%m
|
||||
call psb_bcast(ictxt,m_problem)
|
||||
|
||||
if(rhs_file /= 'NONE') then
|
||||
! reading an rhs
|
||||
call read_rhs(rhs_file,aux_b,ictxt)
|
||||
end if
|
||||
|
||||
if (psb_size(aux_b,1)==m_problem) then
|
||||
! if any rhs were present, broadcast the first one
|
||||
write(0,'("Ok, got an rhs ")')
|
||||
b_glob =>aux_b(:,1)
|
||||
else
|
||||
write(*,'("Generating an rhs...")')
|
||||
write(*,'(" ")')
|
||||
call psb_realloc(m_problem,1,aux_b,ircode)
|
||||
if (ircode /= 0) then
|
||||
call psb_errpush(4000,name)
|
||||
goto 9999
|
||||
endif
|
||||
|
||||
b_glob => aux_b(:,1)
|
||||
do i=1, m_problem
|
||||
b_glob(i) = 1.d0
|
||||
enddo
|
||||
endif
|
||||
call psb_bcast(ictxt,b_glob(1:m_problem))
|
||||
else
|
||||
call psb_bcast(ictxt,m_problem)
|
||||
call psb_realloc(m_problem,1,aux_b,ircode)
|
||||
if (ircode /= 0) then
|
||||
call psb_errpush(4000,name)
|
||||
goto 9999
|
||||
endif
|
||||
b_glob =>aux_b(:,1)
|
||||
call psb_bcast(ictxt,b_glob(1:m_problem))
|
||||
end if
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
if (iam==psb_root_) write(*,'("Partition type: block")')
|
||||
call psb_matdist(aux_A, A, part_block, ictxt, &
|
||||
& desc_A,b_glob,b,info)
|
||||
|
||||
t2 = psb_wtime() - t1
|
||||
|
||||
call psb_amx(ictxt, t2)
|
||||
|
||||
if (iam==psb_root_) then
|
||||
write(*,'(" ")')
|
||||
write(*,'("Time to read and partition matrix : ",es10.4)')t2
|
||||
write(*,'(" ")')
|
||||
end if
|
||||
|
||||
! set RAS with overlap 2 and ILU(0) on the local blocks
|
||||
|
||||
call mld_precinit(P,'AS',info)
|
||||
call mld_precset(P,mld_sub_ovr_,2,info)
|
||||
|
||||
! build the preconditioner
|
||||
|
||||
t1 = psb_wtime()
|
||||
|
||||
call mld_precbld(A,desc_A,P,info)
|
||||
|
||||
tprec = psb_wtime()-t1
|
||||
call psb_amx(ictxt, tprec)
|
||||
|
||||
if (info /= 0) then
|
||||
call psb_errpush(4010,name,a_err='psb_precbld')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! set the initial guess
|
||||
|
||||
call psb_geall(x,desc_A,info)
|
||||
x(:) =0.0
|
||||
call psb_geasb(x,desc_A,info)
|
||||
|
||||
! solve Ax=b with preconditioned BiCGSTAB
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
|
||||
call psb_krylov('BICGSTAB',A,P,b,x,tol,desc_A,info,itmax,iter,err,istop=2)
|
||||
|
||||
t2 = psb_wtime() - t1
|
||||
call psb_amx(ictxt,t2)
|
||||
|
||||
call psb_geall(r,desc_A,info)
|
||||
r(:) =0.0
|
||||
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)
|
||||
call psb_genrm2s(resmx,r,desc_A,info)
|
||||
call psb_geamaxs(resmxp,r,desc_A,info)
|
||||
|
||||
amatsize = psb_sizeof(A)
|
||||
descsize = psb_sizeof(desc_A)
|
||||
precsize = mld_sizeof(P)
|
||||
call psb_sum(ictxt,amatsize)
|
||||
call psb_sum(ictxt,descsize)
|
||||
call psb_sum(ictxt,precsize)
|
||||
|
||||
call mld_precdescr(P,info)
|
||||
|
||||
if (iam==psb_root_) then
|
||||
write(*,'(" ")')
|
||||
write(*,'("Matrix: ",A)')mtrx_file
|
||||
write(*,'("Computed solution on ",i8," processors")')np
|
||||
write(*,'("Iterations to convergence : ",i6)')iter
|
||||
write(*,'("Error estimate on exit : ",es10.4)')err
|
||||
write(*,'("Time to build prec. : ",es10.4)')tprec
|
||||
write(*,'("Time to solve system : ",es10.4)')t2
|
||||
write(*,'("Time per iteration : ",es10.4)')t2/(iter)
|
||||
write(*,'("Total time : ",es10.4)')t2+tprec
|
||||
write(*,'("Residual 2-norm : ",es10.4)')resmx
|
||||
write(*,'("Residual inf-norm : ",es10.4)')resmxp
|
||||
write(*,'("Total memory occupation for A : ",i10)')amatsize
|
||||
write(*,'("Total memory occupation for DESC_A : ",i10)')descsize
|
||||
write(*,'("Total memory occupation for PREC : ",i10)')precsize
|
||||
end if
|
||||
|
||||
allocate(x_glob(m_problem),r_glob(m_problem),stat=ierr)
|
||||
if (ierr /= 0) then
|
||||
write(0,*) 'allocation error: no data collection'
|
||||
else
|
||||
call psb_gather(x_glob,x,desc_A,info,root=psb_root_)
|
||||
call psb_gather(r_glob,r,desc_A,info,root=psb_root_)
|
||||
if (iam==psb_root_) then
|
||||
write(0,'(" ")')
|
||||
write(0,'("Saving x on file")')
|
||||
write(20,*) 'matrix: ',mtrx_file
|
||||
write(20,*) 'computed solution on ',np,' processor(s).'
|
||||
write(20,*) 'iterations to convergence: ',iter
|
||||
write(20,*) 'error estimate (infinity norm) on exit:', &
|
||||
& ' ||r||/(||a||||x||+||b||) = ',err
|
||||
write(20,*) 'max residual = ',resmx, resmxp
|
||||
write(20,'(a8,4(2x,a20))') 'I','X(I)','R(I)','B(I)'
|
||||
do i=1,m_problem
|
||||
write(20,998) i,x_glob(i),r_glob(i),b_glob(i)
|
||||
enddo
|
||||
end if
|
||||
end if
|
||||
998 format(i8,4(2x,g20.14))
|
||||
993 format(i6,4(1x,e12.6))
|
||||
|
||||
! deallocate the data structures
|
||||
|
||||
call psb_gefree(b, desc_A,info)
|
||||
call psb_gefree(x, desc_A,info)
|
||||
call psb_spfree(A, desc_A,info)
|
||||
call mld_precfree(P,info)
|
||||
call psb_cdfree(desc_A,info)
|
||||
|
||||
9999 continue
|
||||
if(info /= 0) then
|
||||
call psb_error(ictxt)
|
||||
end if
|
||||
call psb_exit(ictxt)
|
||||
stop
|
||||
|
||||
contains
|
||||
!
|
||||
! get parameters from standard input
|
||||
!
|
||||
subroutine get_parms(ictxt,mtrx,rhs,itmax,tol)
|
||||
|
||||
use psb_base_mod
|
||||
implicit none
|
||||
|
||||
integer :: ictxt, itmax
|
||||
real(psb_dpk_) :: tol
|
||||
character(len=*) :: mtrx, rhs
|
||||
integer :: iam, np
|
||||
|
||||
call psb_info(ictxt,iam,np)
|
||||
|
||||
if (iam==psb_root_) then
|
||||
! read input parameters
|
||||
call read_data(mtrx,5)
|
||||
call read_data(rhs,5)
|
||||
call read_data(itmax,5)
|
||||
call read_data(tol,5)
|
||||
end if
|
||||
|
||||
call psb_bcast(ictxt,mtrx)
|
||||
call psb_bcast(ictxt,rhs)
|
||||
call psb_bcast(ictxt,itmax)
|
||||
call psb_bcast(ictxt,tol)
|
||||
|
||||
end subroutine get_parms
|
||||
end program mld_dexample_ml
|
@ -0,0 +1,348 @@
|
||||
!!$
|
||||
!!$
|
||||
!!$ MLD2P4 version 1.0
|
||||
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
||||
!!$ based on PSBLAS (Parallel Sparse BLAS version 2.2)
|
||||
!!$
|
||||
!!$ (C) Copyright 2008
|
||||
!!$
|
||||
!!$ Salvatore Filippone University of Rome Tor Vergata
|
||||
!!$ Alfredo Buttari University of Rome Tor Vergata
|
||||
!!$ 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: mld_dexample_ml.f90
|
||||
!
|
||||
! This sample program solves a linear system by using BiCGStab coupled with
|
||||
! one of the following multi-level preconditioner, as explained in Section 6.1
|
||||
! of the MLD2P4 User's and Reference Guide:
|
||||
! - choice = 1, default multi-level Schwarz preconditioner (Sec. 6.1, Fig. 2)
|
||||
! - choice = 2, hybrid three-level Schwarz preconditioner (Sec. 6.1, Fig. 3)
|
||||
! - choice = 3, additive three-level Schwarz preconditioner (Sec. 6.1, Fig. 4)
|
||||
!
|
||||
! The matrix and the rhs are read from files (if an rhs is not available, the
|
||||
! unit rhs is set).
|
||||
!
|
||||
program mld_dexample_ml
|
||||
use psb_base_mod
|
||||
use mld_prec_mod
|
||||
use psb_krylov_mod
|
||||
use psb_util_mod
|
||||
use data_input
|
||||
|
||||
implicit none
|
||||
|
||||
! input file parameters
|
||||
character(len=40) :: mtrx_file, rhs_file
|
||||
|
||||
! sparse matrices
|
||||
type(psb_dspmat_type) :: A, aux_A
|
||||
|
||||
! descriptor of sparse matrices
|
||||
type(psb_desc_type):: desc_A
|
||||
|
||||
! preconditioner
|
||||
type(mld_dprec_type) :: P
|
||||
|
||||
! right-hand side, solution and residual vectors
|
||||
real(psb_dpk_), allocatable , save :: b(:), x(:), r(:), &
|
||||
& x_glob(:), r_glob(:)
|
||||
real(psb_dpk_), allocatable, target :: aux_b(:,:)
|
||||
real(psb_dpk_), pointer :: b_glob(:)
|
||||
|
||||
! solver and preconditioner parameters
|
||||
real(psb_dpk_) :: tol, err
|
||||
integer :: itmax, iter, istop
|
||||
integer :: nlev
|
||||
|
||||
! parallel environment parameters
|
||||
integer :: ictxt, iam, np
|
||||
|
||||
! other variables
|
||||
integer :: choice
|
||||
integer :: i,info,j,m_problem,amatsize,descsize,precsize
|
||||
integer :: ierr, ircode
|
||||
real(psb_dpk_) :: t1, t2, tprec, resmx, resmxp
|
||||
character(len=20) :: name
|
||||
|
||||
! initialize the parallel environment
|
||||
|
||||
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
|
||||
|
||||
name='mld_dexample_ml'
|
||||
if(psb_get_errstatus() /= 0) goto 9999
|
||||
info=0
|
||||
call psb_set_errverbosity(2)
|
||||
|
||||
! get parameters
|
||||
|
||||
call get_parms(ictxt,mtrx_file,rhs_file,choice,itmax,tol)
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
|
||||
! read and assemble the matrix A and the right-hand side b
|
||||
! using PSBLAS routines for sparse matrix / vector management
|
||||
|
||||
if (iam==psb_root_) then
|
||||
call read_mat(mtrx_file, aux_A, ictxt)
|
||||
|
||||
m_problem = aux_A%m
|
||||
call psb_bcast(ictxt,m_problem)
|
||||
|
||||
if(rhs_file /= 'NONE') then
|
||||
! reading an rhs
|
||||
call read_rhs(rhs_file,aux_b,ictxt)
|
||||
end if
|
||||
|
||||
if (psb_size(aux_b,1)==m_problem) then
|
||||
! if any rhs were present, broadcast the first one
|
||||
write(0,'("Ok, got an rhs ")')
|
||||
b_glob =>aux_b(:,1)
|
||||
else
|
||||
write(*,'("Generating an rhs...")')
|
||||
write(*,'(" ")')
|
||||
call psb_realloc(m_problem,1,aux_b,ircode)
|
||||
if (ircode /= 0) then
|
||||
call psb_errpush(4000,name)
|
||||
goto 9999
|
||||
endif
|
||||
|
||||
b_glob => aux_b(:,1)
|
||||
do i=1, m_problem
|
||||
b_glob(i) = 1.d0
|
||||
enddo
|
||||
endif
|
||||
call psb_bcast(ictxt,b_glob(1:m_problem))
|
||||
else
|
||||
call psb_bcast(ictxt,m_problem)
|
||||
call psb_realloc(m_problem,1,aux_b,ircode)
|
||||
if (ircode /= 0) then
|
||||
call psb_errpush(4000,name)
|
||||
goto 9999
|
||||
endif
|
||||
b_glob =>aux_b(:,1)
|
||||
call psb_bcast(ictxt,b_glob(1:m_problem))
|
||||
end if
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
if (iam==psb_root_) write(*,'("Partition type: block")')
|
||||
call psb_matdist(aux_A, A, part_block, ictxt, &
|
||||
& desc_A,b_glob,b,info)
|
||||
|
||||
t2 = psb_wtime() - t1
|
||||
|
||||
call psb_amx(ictxt, t2)
|
||||
|
||||
if (iam==psb_root_) then
|
||||
write(*,'(" ")')
|
||||
write(*,'("Time to read and partition matrix : ",es10.4)')t2
|
||||
write(*,'(" ")')
|
||||
end if
|
||||
|
||||
select case(choice)
|
||||
|
||||
case(1)
|
||||
|
||||
! initialize the default multi-level preconditioner, i.e. hybrid
|
||||
! Schwarz, using RAS (with overlap 1 and ILU(0) on the blocks)
|
||||
! as post-smoother and 4 block-Jacobi sweeps (with UMFPACK LU
|
||||
! on the blocks) as distributed coarse-level solver
|
||||
|
||||
call mld_precinit(P,'ML',info)
|
||||
|
||||
case(2)
|
||||
|
||||
! set a three-level hybrid Schwarz preconditioner, which uses
|
||||
! block Jacobi (with ILU(0) on the blocks) as post-smoother,
|
||||
! a coarsest matrix replicated on the processors, and the
|
||||
! LU factorization from UMFPACK as coarse-level solver
|
||||
|
||||
call mld_precinit(P,'ML',info,nlev=3)
|
||||
call mld_precset(P,mld_smoother_type_,'BJAC',info)
|
||||
call mld_precset(P,mld_coarse_mat_,'REPL',info)
|
||||
call mld_precset(P,mld_coarse_solve_,'UMF',info)
|
||||
|
||||
case(3)
|
||||
|
||||
! set a three-level additive Schwarz preconditioner, which uses
|
||||
! RAS (with overlap 1 and ILU(0) on the blocks) as pre- and
|
||||
! post-smoother, and 5 block-Jacobi sweeps (with UMFPACK LU
|
||||
! on the blocks) as distributed coarsest-level solver
|
||||
|
||||
call mld_precinit(P,'ML',info,nlev=3)
|
||||
call mld_precset(P,mld_ml_type_,'ADD',info)
|
||||
call mld_precset(P,mld_smoother_pos_,'TWOSIDE',info)
|
||||
call mld_precset(P,mld_coarse_sweeps_,5,info)
|
||||
|
||||
end select
|
||||
|
||||
! build the preconditioner
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
|
||||
call mld_precbld(A,desc_A,P,info)
|
||||
|
||||
tprec = psb_wtime()-t1
|
||||
call psb_amx(ictxt, tprec)
|
||||
|
||||
if (info /= 0) then
|
||||
call psb_errpush(4010,name,a_err='psb_precbld')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! set the initial guess
|
||||
|
||||
call psb_geall(x,desc_A,info)
|
||||
x(:) =0.0
|
||||
call psb_geasb(x,desc_A,info)
|
||||
|
||||
! solve Ax=b with preconditioned BiCGSTAB
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
|
||||
call psb_krylov('BICGSTAB',A,P,b,x,tol,desc_A,info,itmax,iter,err,itrace=1,istop=2)
|
||||
|
||||
t2 = psb_wtime() - t1
|
||||
call psb_amx(ictxt,t2)
|
||||
|
||||
call psb_geall(r,desc_A,info)
|
||||
r(:) =0.0
|
||||
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)
|
||||
call psb_genrm2s(resmx,r,desc_A,info)
|
||||
call psb_geamaxs(resmxp,r,desc_A,info)
|
||||
|
||||
amatsize = psb_sizeof(A)
|
||||
descsize = psb_sizeof(desc_A)
|
||||
precsize = mld_sizeof(P)
|
||||
call psb_sum(ictxt,amatsize)
|
||||
call psb_sum(ictxt,descsize)
|
||||
call psb_sum(ictxt,precsize)
|
||||
|
||||
call mld_precdescr(P,info)
|
||||
|
||||
if (iam==psb_root_) then
|
||||
write(*,'(" ")')
|
||||
write(*,'("Matrix: ",A)')mtrx_file
|
||||
write(*,'("Computed solution on ",i8," processors")')np
|
||||
write(*,'("Iterations to convergence : ",i6)')iter
|
||||
write(*,'("Error estimate on exit : ",es10.4)')err
|
||||
write(*,'("Time to build prec. : ",es10.4)')tprec
|
||||
write(*,'("Time to solve system : ",es10.4)')t2
|
||||
write(*,'("Time per iteration : ",es10.4)')t2/(iter)
|
||||
write(*,'("Total time : ",es10.4)')t2+tprec
|
||||
write(*,'("Residual 2-norm : ",es10.4)')resmx
|
||||
write(*,'("Residual inf-norm : ",es10.4)')resmxp
|
||||
write(*,'("Total memory occupation for A : ",i10)')amatsize
|
||||
write(*,'("Total memory occupation for DESC_A : ",i10)')descsize
|
||||
write(*,'("Total memory occupation for PREC : ",i10)')precsize
|
||||
end if
|
||||
|
||||
allocate(x_glob(m_problem),r_glob(m_problem),stat=ierr)
|
||||
if (ierr /= 0) then
|
||||
write(0,*) 'allocation error: no data collection'
|
||||
else
|
||||
call psb_gather(x_glob,x,desc_A,info,root=psb_root_)
|
||||
call psb_gather(r_glob,r,desc_A,info,root=psb_root_)
|
||||
if (iam==psb_root_) then
|
||||
write(0,'(" ")')
|
||||
write(0,'("Saving x on file")')
|
||||
write(20,*) 'matrix: ',mtrx_file
|
||||
write(20,*) 'computed solution on ',np,' processors.'
|
||||
write(20,*) 'iterations to convergence: ',iter
|
||||
write(20,*) 'error estimate (infinity norm) on exit:', &
|
||||
& ' ||r||/(||a||||x||+||b||) = ',err
|
||||
write(20,*) 'max residual = ',resmx, resmxp
|
||||
write(20,'(a8,4(2x,a20))') 'I','X(I)','R(I)','B(I)'
|
||||
do i=1,m_problem
|
||||
write(20,998) i,x_glob(i),r_glob(i),b_glob(i)
|
||||
enddo
|
||||
end if
|
||||
end if
|
||||
998 format(i8,4(2x,g20.14))
|
||||
993 format(i6,4(1x,e12.6))
|
||||
|
||||
! deallocate the data structures
|
||||
|
||||
call psb_gefree(b, desc_A,info)
|
||||
call psb_gefree(x, desc_A,info)
|
||||
call psb_spfree(A, desc_A,info)
|
||||
call mld_precfree(P,info)
|
||||
call psb_cdfree(desc_A,info)
|
||||
|
||||
9999 continue
|
||||
if(info /= 0) then
|
||||
call psb_error(ictxt)
|
||||
end if
|
||||
call psb_exit(ictxt)
|
||||
stop
|
||||
|
||||
contains
|
||||
!
|
||||
! get parameters from standard input
|
||||
!
|
||||
subroutine get_parms(ictxt,mtrx,rhs,choice,itmax,tol)
|
||||
|
||||
use psb_base_mod
|
||||
implicit none
|
||||
|
||||
integer :: ictxt, choice, itmax
|
||||
real(psb_dpk_) :: tol
|
||||
character(len=*) :: mtrx, rhs
|
||||
integer :: iam, np
|
||||
|
||||
call psb_info(ictxt,iam,np)
|
||||
|
||||
if (iam==psb_root_) then
|
||||
! read input parameters
|
||||
call read_data(mtrx,5)
|
||||
call read_data(rhs,5)
|
||||
call read_data(choice,5)
|
||||
call read_data(itmax,5)
|
||||
call read_data(tol,5)
|
||||
end if
|
||||
|
||||
call psb_bcast(ictxt,mtrx)
|
||||
call psb_bcast(ictxt,rhs)
|
||||
call psb_bcast(ictxt,choice)
|
||||
call psb_bcast(ictxt,itmax)
|
||||
call psb_bcast(ictxt,tol)
|
||||
|
||||
end subroutine get_parms
|
||||
end program mld_dexample_ml
|
@ -0,0 +1,40 @@
|
||||
MLDDIR=../..
|
||||
include $(MLDDIR)/Make.inc
|
||||
PSBDIR=$(PSBLASDIR)/lib/
|
||||
MLDLIBDIR=$(MLDDIR)/lib
|
||||
MLD_LIB=-L$(MLDLIBDIR) -lmld_krylov -lmld_prec
|
||||
PSBLAS_LIB= -L$(PSBDIR) -lpsb_util -lpsb_base
|
||||
FINCLUDES=$(FMFLAG). $(FMFLAG)$(MLDLIBDIR) $(FMFLAG)$(PSBDIR) $(FIFLAG).
|
||||
|
||||
DMOBJS=mld_dexample_ml.o data_input.o
|
||||
D1OBJS=mld_dexample_1lev.o data_input.o
|
||||
|
||||
EXEDIR=./runs
|
||||
|
||||
all: mld_dexample_ml mld_dexample_1lev
|
||||
|
||||
mld_dexample_ml: $(DMOBJS)
|
||||
$(F90LINK) $(LINKOPT) $(DMOBJS) -o mld_dexample_ml \
|
||||
$(MLD_LIB) $(PSBLAS_LIB) $(LDLIBS)
|
||||
/bin/mv mld_dexample_ml $(EXEDIR)
|
||||
|
||||
mld_dexample_1lev: $(D1OBJS)
|
||||
$(F90LINK) $(LINKOPT) $(D1OBJS) -o mld_dexample_1lev \
|
||||
$(MLD_LIB) $(PSBLAS_LIB) $(LDLIBS)
|
||||
/bin/mv mld_dexample_1lev $(EXEDIR)
|
||||
|
||||
mld_dexample_ml.o: data_input.o
|
||||
mld_dexample_1lev.o: data_input.o
|
||||
|
||||
.f90.o:
|
||||
$(MPF90) $(F90COPT) $(FINCLUDES) -c $<
|
||||
|
||||
clean:
|
||||
/bin/rm -f $(DMOBJS) $(D1OBJS) \
|
||||
*$(.mod) $(EXEDIR)/mld_dexample_ml $(EXEDIR)/mld_dexample_1lev
|
||||
|
||||
lib:
|
||||
(cd ../../; make library)
|
||||
verycleanlib:
|
||||
(cd ../../; make veryclean)
|
||||
|
@ -0,0 +1,91 @@
|
||||
!!$
|
||||
!!$
|
||||
!!$ MLD2P4 version 1.0
|
||||
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
||||
!!$ based on PSBLAS (Parallel Sparse BLAS version 2.2)
|
||||
!!$
|
||||
!!$ (C) Copyright 2008
|
||||
!!$
|
||||
!!$ Salvatore Filippone University of Rome Tor Vergata
|
||||
!!$ Alfredo Buttari University of Rome Tor Vergata
|
||||
!!$ 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
|
||||
end interface read_data
|
||||
|
||||
contains
|
||||
|
||||
subroutine read_char(val,file)
|
||||
character(len=*), intent(out) :: val
|
||||
integer, intent(in) :: file
|
||||
character(len=1024) :: charbuf
|
||||
integer :: idx
|
||||
read(file,'(a)')charbuf
|
||||
charbuf = adjustl(charbuf)
|
||||
idx=index(charbuf,"!")
|
||||
read(charbuf(1:idx-1),'(a)') val
|
||||
end subroutine read_char
|
||||
subroutine read_int(val,file)
|
||||
integer, intent(out) :: val
|
||||
integer, intent(in) :: file
|
||||
character(len=1024) :: charbuf
|
||||
integer :: idx
|
||||
read(file,'(a)')charbuf
|
||||
charbuf = adjustl(charbuf)
|
||||
idx=index(charbuf,"!")
|
||||
read(charbuf(1:idx-1),*) val
|
||||
end subroutine read_int
|
||||
subroutine read_single(val,file)
|
||||
use psb_base_mod
|
||||
real(psb_spk_), intent(out) :: val
|
||||
integer, intent(in) :: file
|
||||
character(len=1024) :: charbuf
|
||||
integer :: idx
|
||||
read(file,'(a)')charbuf
|
||||
charbuf = adjustl(charbuf)
|
||||
idx=index(charbuf,"!")
|
||||
read(charbuf(1:idx-1),*) val
|
||||
end subroutine read_single
|
||||
subroutine read_double(val,file)
|
||||
use psb_base_mod
|
||||
real(psb_dpk_), intent(out) :: val
|
||||
integer, intent(in) :: file
|
||||
character(len=1024) :: charbuf
|
||||
integer :: idx
|
||||
read(file,'(a)')charbuf
|
||||
charbuf = adjustl(charbuf)
|
||||
idx=index(charbuf,"!")
|
||||
read(charbuf(1:idx-1),*) val
|
||||
end subroutine read_double
|
||||
end module data_input
|
||||
|
@ -0,0 +1,598 @@
|
||||
!!$
|
||||
!!$
|
||||
!!$ MLD2P4 version 1.0
|
||||
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
||||
!!$ based on PSBLAS (Parallel Sparse BLAS version 2.2)
|
||||
!!$
|
||||
!!$ (C) Copyright 2008
|
||||
!!$
|
||||
!!$ Salvatore Filippone University of Rome Tor Vergata
|
||||
!!$ Alfredo Buttari University of Rome Tor Vergata
|
||||
!!$ 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: mld_dexample_1lev.f90
|
||||
!
|
||||
! This sample program solves a linear system obtained by discretizing a
|
||||
! PDE with Dirichlet BCs. The solver is BiCGStab coupled with one of the
|
||||
! following multi-level preconditioner, as explained in Section 6.1 of
|
||||
! the MLD2P4 User's and Reference Guide:
|
||||
! - choice = 1, default multi-level Schwarz preconditioner (Sec. 6.1, Fig. 2)
|
||||
! - choice = 2, hybrid three-level Schwarz preconditioner (Sec. 6.1, Fig. 3)
|
||||
! - choice = 3, additive three-level Schwarz preconditioner (Sec. 6.1, Fig. 4)
|
||||
!
|
||||
! 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 mld_dexample_1lev
|
||||
use psb_base_mod
|
||||
use mld_prec_mod
|
||||
use psb_krylov_mod
|
||||
use psb_util_mod
|
||||
use data_input
|
||||
|
||||
implicit none
|
||||
|
||||
|
||||
! sparse matrices
|
||||
type(psb_dspmat_type) :: A
|
||||
|
||||
! descriptor of sparse matrices
|
||||
type(psb_desc_type):: desc_A
|
||||
|
||||
! preconditioner
|
||||
type(mld_dprec_type) :: P
|
||||
|
||||
! right-hand side, solution and residual vectors
|
||||
real(psb_dpk_), allocatable , save :: b(:), x(:), r(:)
|
||||
|
||||
! solver parameters
|
||||
real(psb_dpk_) :: tol, err
|
||||
integer :: itmax, iter, itrace, istop
|
||||
|
||||
! parallel environment parameters
|
||||
integer :: ictxt, iam, np
|
||||
|
||||
! other variables
|
||||
integer :: i,info,j,amatsize,descsize,precsize
|
||||
integer :: idim, nlev, ierr, ircode
|
||||
real(psb_dpk_) :: t1, t2, tprec, resmx, resmxp
|
||||
character(len=20) :: name
|
||||
|
||||
! initialize the parallel environment
|
||||
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
|
||||
|
||||
name='mld_dexample_ml'
|
||||
if(psb_get_errstatus() /= 0) goto 9999
|
||||
info=0
|
||||
call psb_set_errverbosity(2)
|
||||
|
||||
! get parameters
|
||||
|
||||
call get_parms(ictxt,idim,itmax,tol)
|
||||
|
||||
! 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,part_block,ictxt,info)
|
||||
t2 = psb_wtime() - t1
|
||||
if(info /= 0) then
|
||||
info=4010
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_amx(ictxt,t2)
|
||||
if (iam == psb_root_) write(*,'("Overall matrix creation time : ",es10.4)')t2
|
||||
if (iam == psb_root_) write(*,'(" ")')
|
||||
|
||||
! set RAS with overlap 2 and ILU(0) on the local blocks
|
||||
|
||||
call mld_precinit(P,'AS',info)
|
||||
call mld_precset(P,mld_sub_ovr_,2,info)
|
||||
|
||||
! build the preconditioner
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
|
||||
call mld_precbld(A,desc_A,P,info)
|
||||
|
||||
tprec = psb_wtime()-t1
|
||||
call psb_amx(ictxt, tprec)
|
||||
|
||||
if (info /= 0) then
|
||||
call psb_errpush(4010,name,a_err='psb_precbld')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! set the initial guess
|
||||
|
||||
call psb_geall(x,desc_A,info)
|
||||
x(:) =0.0
|
||||
call psb_geasb(x,desc_A,info)
|
||||
|
||||
! solve Ax=b with preconditioned BiCGSTAB
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
|
||||
call psb_krylov('BICGSTAB',A,P,b,x,tol,desc_A,info,itmax,iter,err,itrace=1,istop=2)
|
||||
|
||||
t2 = psb_wtime() - t1
|
||||
call psb_amx(ictxt,t2)
|
||||
|
||||
call psb_geall(r,desc_A,info)
|
||||
r(:) =0.0
|
||||
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)
|
||||
call psb_genrm2s(resmx,r,desc_A,info)
|
||||
call psb_geamaxs(resmxp,r,desc_A,info)
|
||||
|
||||
amatsize = psb_sizeof(A)
|
||||
descsize = psb_sizeof(desc_A)
|
||||
precsize = mld_sizeof(P)
|
||||
call psb_sum(ictxt,amatsize)
|
||||
call psb_sum(ictxt,descsize)
|
||||
call psb_sum(ictxt,precsize)
|
||||
|
||||
call mld_precdescr(P,info)
|
||||
|
||||
if (iam==psb_root_) then
|
||||
write(*,'(" ")')
|
||||
write(*,'("Matrix from PDE example")')
|
||||
write(*,'("Computed solution on ",i8," processors")')np
|
||||
write(*,'("Iterations to convergence : ",i6)')iter
|
||||
write(*,'("Error estimate on exit : ",es10.4)')err
|
||||
write(*,'("Time to build prec. : ",es10.4)')tprec
|
||||
write(*,'("Time to solve system : ",es10.4)')t2
|
||||
write(*,'("Time per iteration : ",es10.4)')t2/(iter)
|
||||
write(*,'("Total time : ",es10.4)')t2+tprec
|
||||
write(*,'("Residual 2-norm : ",es10.4)')resmx
|
||||
write(*,'("Residual inf-norm : ",es10.4)')resmxp
|
||||
write(*,'("Total memory occupation for A : ",i10)')amatsize
|
||||
write(*,'("Total memory occupation for DESC_A : ",i10)')descsize
|
||||
write(*,'("Total memory occupation for PREC : ",i10)')precsize
|
||||
end if
|
||||
|
||||
call psb_gefree(b, desc_A,info)
|
||||
call psb_gefree(x, desc_A,info)
|
||||
call psb_spfree(A, desc_A,info)
|
||||
call mld_precfree(P,info)
|
||||
call psb_cdfree(desc_A,info)
|
||||
|
||||
9999 continue
|
||||
if(info /= 0) then
|
||||
call psb_error(ictxt)
|
||||
end if
|
||||
call psb_exit(ictxt)
|
||||
stop
|
||||
|
||||
contains
|
||||
!
|
||||
! get parameters from standard input
|
||||
!
|
||||
subroutine get_parms(ictxt,idim,itmax,tol)
|
||||
|
||||
use psb_base_mod
|
||||
implicit none
|
||||
|
||||
integer :: idim, ictxt, itmax
|
||||
real(psb_dpk_) :: tol
|
||||
integer :: iam, np
|
||||
|
||||
call psb_info(ictxt,iam,np)
|
||||
|
||||
if (iam==psb_root_) then
|
||||
! read input parameters
|
||||
call read_data(idim,5)
|
||||
call read_data(itmax,5)
|
||||
call read_data(tol,5)
|
||||
end if
|
||||
|
||||
call psb_bcast(ictxt,idim)
|
||||
call psb_bcast(ictxt,itmax)
|
||||
call psb_bcast(ictxt,tol)
|
||||
|
||||
end subroutine get_parms
|
||||
|
||||
!
|
||||
! subroutine to allocate and fill in the coefficient matrix and
|
||||
! the rhs
|
||||
!
|
||||
subroutine create_matrix(idim,a,b,xv,desc_a,parts,ictxt,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 = 0
|
||||
! 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_base_mod
|
||||
implicit none
|
||||
integer :: idim
|
||||
integer, parameter :: nbmax=10
|
||||
real(psb_dpk_), allocatable :: b(:),xv(:)
|
||||
type(psb_desc_type) :: desc_a
|
||||
integer :: ictxt, info
|
||||
interface
|
||||
! .....user passed subroutine.....
|
||||
subroutine parts(global_indx,n,np,pv,nv)
|
||||
implicit none
|
||||
integer, intent(in) :: global_indx, n, np
|
||||
integer, intent(out) :: nv
|
||||
integer, intent(out) :: pv(*)
|
||||
end subroutine parts
|
||||
end interface
|
||||
! local variables
|
||||
type(psb_dspmat_type) :: a
|
||||
real(psb_dpk_) :: zt(nbmax),glob_x,glob_y,glob_z
|
||||
integer :: m,n,nnz,glob_row
|
||||
integer :: x,y,z,ia,indx_owner
|
||||
integer :: np, iam
|
||||
integer :: element
|
||||
integer :: nv, inv
|
||||
integer, allocatable :: irow(:),icol(:)
|
||||
real(psb_dpk_), allocatable :: val(:)
|
||||
integer, allocatable :: prv(:)
|
||||
! 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_) :: t1, t2, t3, tins, tasb
|
||||
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
|
||||
|
||||
info = 0
|
||||
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(0,'("Generating Matrix (size=",i0x,")...")')n
|
||||
|
||||
call psb_cdall(ictxt,desc_a,info,mg=n,parts=parts)
|
||||
call psb_spall(a,desc_a,info,nnz=nnz)
|
||||
! define rhs from boundary conditions; also build initial guess
|
||||
call psb_geall(b,desc_a,info)
|
||||
call psb_geall(xv,desc_a,info)
|
||||
if(info /= 0) then
|
||||
info=4010
|
||||
call psb_errpush(info,name)
|
||||
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*nbmax),irow(20*nbmax),&
|
||||
&icol(20*nbmax),prv(np),stat=info)
|
||||
if (info /= 0 ) then
|
||||
info=4000
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
endif
|
||||
|
||||
tins = 0.d0
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
|
||||
! loop over rows belonging to current process in a block
|
||||
! distribution.
|
||||
|
||||
! icol(1)=1
|
||||
do glob_row = 1, n
|
||||
call parts(glob_row,n,np,prv,nv)
|
||||
do inv = 1, nv
|
||||
indx_owner = prv(inv)
|
||||
if (indx_owner == iam) then
|
||||
! local matrix pointer
|
||||
element=1
|
||||
! compute gridpoint coordinates
|
||||
if (mod(glob_row,(idim*idim)) == 0) then
|
||||
x = glob_row/(idim*idim)
|
||||
else
|
||||
x = glob_row/(idim*idim)+1
|
||||
endif
|
||||
if (mod((glob_row-(x-1)*idim*idim),idim) == 0) then
|
||||
y = (glob_row-(x-1)*idim*idim)/idim
|
||||
else
|
||||
y = (glob_row-(x-1)*idim*idim)/idim+1
|
||||
endif
|
||||
z = glob_row-(x-1)*idim*idim-(y-1)*idim
|
||||
! glob_x, glob_y, glob_x coordinates
|
||||
glob_x=x*deltah
|
||||
glob_y=y*deltah
|
||||
glob_z=z*deltah
|
||||
|
||||
! check on boundary points
|
||||
zt(1) = 0.d0
|
||||
! internal point: build discretization
|
||||
!
|
||||
! term depending on (x-1,y,z)
|
||||
!
|
||||
if (x==1) then
|
||||
val(element)=-b1(glob_x,glob_y,glob_z)&
|
||||
& -a1(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
zt(1) = exp(-glob_y**2-glob_z**2)*(-val(element))
|
||||
else
|
||||
val(element)=-b1(glob_x,glob_y,glob_z)&
|
||||
& -a1(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x-2)*idim*idim+(y-1)*idim+(z)
|
||||
element=element+1
|
||||
endif
|
||||
! term depending on (x,y-1,z)
|
||||
if (y==1) then
|
||||
val(element)=-b2(glob_x,glob_y,glob_z)&
|
||||
& -a2(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
zt(1) = exp(-glob_y**2-glob_z**2)*exp(-glob_x)*(-val(element))
|
||||
else
|
||||
val(element)=-b2(glob_x,glob_y,glob_z)&
|
||||
& -a2(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x-1)*idim*idim+(y-2)*idim+(z)
|
||||
element=element+1
|
||||
endif
|
||||
! term depending on (x,y,z-1)
|
||||
if (z==1) then
|
||||
val(element)=-b3(glob_x,glob_y,glob_z)&
|
||||
& -a3(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
zt(1) = exp(-glob_y**2-glob_z**2)*exp(-glob_x)*(-val(element))
|
||||
else
|
||||
val(element)=-b3(glob_x,glob_y,glob_z)&
|
||||
& -a3(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x-1)*idim*idim+(y-1)*idim+(z-1)
|
||||
element=element+1
|
||||
endif
|
||||
! term depending on (x,y,z)
|
||||
val(element)=2*b1(glob_x,glob_y,glob_z)&
|
||||
& +2*b2(glob_x,glob_y,glob_z)&
|
||||
& +2*b3(glob_x,glob_y,glob_z)&
|
||||
& +a1(glob_x,glob_y,glob_z)&
|
||||
& +a2(glob_x,glob_y,glob_z)&
|
||||
& +a3(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x-1)*idim*idim+(y-1)*idim+(z)
|
||||
element=element+1
|
||||
! term depending on (x,y,z+1)
|
||||
if (z==idim) then
|
||||
val(element)=-b1(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
zt(1) = exp(-glob_y**2-glob_z**2)*exp(-glob_x)*(-val(element))
|
||||
else
|
||||
val(element)=-b1(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x-1)*idim*idim+(y-1)*idim+(z+1)
|
||||
element=element+1
|
||||
endif
|
||||
! term depending on (x,y+1,z)
|
||||
if (y==idim) then
|
||||
val(element)=-b2(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
zt(1) = exp(-glob_y**2-glob_z**2)*exp(-glob_x)*(-val(element))
|
||||
else
|
||||
val(element)=-b2(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x-1)*idim*idim+(y)*idim+(z)
|
||||
element=element+1
|
||||
endif
|
||||
! term depending on (x+1,y,z)
|
||||
if (x<idim) then
|
||||
val(element)=-b3(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x)*idim*idim+(y-1)*idim+(z)
|
||||
element=element+1
|
||||
endif
|
||||
irow(1:element-1)=glob_row
|
||||
ia=glob_row
|
||||
|
||||
t3 = psb_wtime()
|
||||
call psb_spins(element-1,irow,icol,val,a,desc_a,info)
|
||||
if(info /= 0) exit
|
||||
tins = tins + (psb_wtime()-t3)
|
||||
call psb_geins(1,(/ia/),zt(1:1),b,desc_a,info)
|
||||
if(info /= 0) exit
|
||||
zt(1)=0.d0
|
||||
call psb_geins(1,(/ia/),zt(1:1),xv,desc_a,info)
|
||||
if(info /= 0) exit
|
||||
end if
|
||||
end do
|
||||
end do
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t2 = psb_wtime()-t1
|
||||
|
||||
if(info /= 0) then
|
||||
info=4010
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
deallocate(val,irow,icol)
|
||||
|
||||
t1 = psb_wtime()
|
||||
call psb_cdasb(desc_a,info)
|
||||
call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_)
|
||||
call psb_barrier(ictxt)
|
||||
tasb = psb_wtime()-t1
|
||||
if(info /= 0) then
|
||||
info=4010
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_amx(ictxt,t2)
|
||||
call psb_amx(ictxt,tins)
|
||||
call psb_amx(ictxt,tasb)
|
||||
|
||||
if(iam == psb_root_) then
|
||||
write(*,'("The matrix has been generated and assembeld in ",a3," format.")')&
|
||||
& a%fida(1:3)
|
||||
write(*,'("-pspins time : ",es10.4)')tins
|
||||
write(*,'("-insert time : ",es10.4)')t2
|
||||
write(*,'("-assembly time : ",es10.4)')tasb
|
||||
end if
|
||||
|
||||
call psb_geasb(b,desc_a,info)
|
||||
call psb_geasb(xv,desc_a,info)
|
||||
if(info /= 0) then
|
||||
info=4010
|
||||
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(ictxt)
|
||||
return
|
||||
end if
|
||||
return
|
||||
end subroutine create_matrix
|
||||
end program mld_dexample_1lev
|
||||
!
|
||||
! functions parametrizing the differential equation
|
||||
!
|
||||
function a1(x,y,z)
|
||||
use psb_base_mod, only : psb_dpk_
|
||||
real(psb_dpk_) :: a1
|
||||
real(psb_dpk_) :: x,y,z
|
||||
!a1=1.d0
|
||||
a1=0.d0
|
||||
end function a1
|
||||
function a2(x,y,z)
|
||||
use psb_base_mod, only : psb_dpk_
|
||||
real(psb_dpk_) :: a2
|
||||
real(psb_dpk_) :: x,y,z
|
||||
!a2=2.d1*y
|
||||
a2=0.d0
|
||||
end function a2
|
||||
function a3(x,y,z)
|
||||
use psb_base_mod, only : psb_dpk_
|
||||
real(psb_dpk_) :: a3
|
||||
real(psb_dpk_) :: x,y,z
|
||||
!a3=1.d0
|
||||
a3=0.d0
|
||||
end function a3
|
||||
function a4(x,y,z)
|
||||
use psb_base_mod, only : psb_dpk_
|
||||
real(psb_dpk_) :: a4
|
||||
real(psb_dpk_) :: x,y,z
|
||||
!a4=1.d0
|
||||
a4=0.d0
|
||||
end function a4
|
||||
function b1(x,y,z)
|
||||
use psb_base_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_base_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_base_mod, only : psb_dpk_
|
||||
real(psb_dpk_) :: b3
|
||||
real(psb_dpk_) :: x,y,z
|
||||
b3=1.d0
|
||||
end function b3
|
@ -0,0 +1,636 @@
|
||||
!!$
|
||||
!!$
|
||||
!!$ MLD2P4 version 1.0
|
||||
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
|
||||
!!$ based on PSBLAS (Parallel Sparse BLAS version 2.2)
|
||||
!!$
|
||||
!!$ (C) Copyright 2008
|
||||
!!$
|
||||
!!$ Salvatore Filippone University of Rome Tor Vergata
|
||||
!!$ Alfredo Buttari University of Rome Tor Vergata
|
||||
!!$ 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: mld_dexample_ml.f90
|
||||
!
|
||||
! This sample program solves a linear system obtained by discretizing a
|
||||
! PDE with Dirichlet BCs. The solver is BiCGStab coupled with one of the
|
||||
! following multi-level preconditioner, as explained in Section 6.1 of
|
||||
! the MLD2P4 User's and Reference Guide:
|
||||
! - choice = 1, default multi-level Schwarz preconditioner (Sec. 6.1, Fig. 2)
|
||||
! - choice = 2, hybrid three-level Schwarz preconditioner (Sec. 6.1, Fig. 3)
|
||||
! - choice = 3, additive three-level Schwarz preconditioner (Sec. 6.1, Fig. 4)
|
||||
!
|
||||
! 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 mld_dexample_ml
|
||||
use psb_base_mod
|
||||
use mld_prec_mod
|
||||
use psb_krylov_mod
|
||||
use psb_util_mod
|
||||
use data_input
|
||||
|
||||
implicit none
|
||||
|
||||
! input parameters
|
||||
|
||||
! sparse matrices
|
||||
type(psb_dspmat_type) :: A
|
||||
|
||||
! sparse matrices descriptor
|
||||
type(psb_desc_type):: desc_A
|
||||
|
||||
! preconditioner
|
||||
type(mld_dprec_type) :: P
|
||||
|
||||
! right-hand side, solution and residual vectors
|
||||
real(psb_dpk_), allocatable , save :: b(:), x(:), r(:)
|
||||
|
||||
! solver and preconditioner parameters
|
||||
real(psb_dpk_) :: tol, err
|
||||
integer :: itmax, iter, istop
|
||||
integer :: nlev
|
||||
|
||||
! parallel environment parameters
|
||||
integer :: ictxt, iam, np
|
||||
|
||||
! other variables
|
||||
integer :: choice
|
||||
integer :: i,info,j,amatsize,descsize,precsize
|
||||
integer :: idim, ierr, ircode
|
||||
real(psb_dpk_) :: t1, t2, tprec, resmx, resmxp
|
||||
character(len=20) :: name
|
||||
|
||||
! initialize the parallel environment
|
||||
|
||||
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
|
||||
|
||||
name='mld_dexample_ml'
|
||||
if(psb_get_errstatus() /= 0) goto 9999
|
||||
info=0
|
||||
call psb_set_errverbosity(2)
|
||||
|
||||
! get parameters
|
||||
|
||||
call get_parms(ictxt,choice,idim,itmax,tol)
|
||||
|
||||
! 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,part_block,ictxt,info)
|
||||
t2 = psb_wtime() - t1
|
||||
if(info /= 0) then
|
||||
info=4010
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_amx(ictxt,t2)
|
||||
if (iam == psb_root_) write(*,'("Overall matrix creation time : ",es10.4)')t2
|
||||
if (iam == psb_root_) write(*,'(" ")')
|
||||
|
||||
select case(choice)
|
||||
|
||||
case(1)
|
||||
|
||||
! initialize the default multi-level preconditioner, i.e. hybrid
|
||||
! Schwarz, using RAS (with overlap 1 and ILU(0) on the blocks)
|
||||
! as post-smoother and 4 block-Jacobi sweeps (with UMFPACK LU
|
||||
! on the blocks) as distributed coarse-level solver
|
||||
|
||||
call mld_precinit(P,'ML',info)
|
||||
|
||||
case(2)
|
||||
|
||||
! set a three-level hybrid Schwarz preconditioner, which uses
|
||||
! block Jacobi (with ILU(0) on the blocks) as post-smoother,
|
||||
! a coarsest matrix replicated on the processors, and the
|
||||
! LU factorization from UMFPACK as coarse-level solver
|
||||
|
||||
call mld_precinit(P,'ML',info,nlev=3)
|
||||
call mld_precset(P,mld_smoother_type_,'BJAC',info)
|
||||
call mld_precset(P,mld_coarse_mat_,'REPL',info)
|
||||
call mld_precset(P,mld_coarse_solve_,'UMF',info)
|
||||
|
||||
case(3)
|
||||
|
||||
! set a three-level additive Schwarz preconditioner, which uses
|
||||
! RAS (with overlap 1 and ILU(0) on the blocks) as pre- and
|
||||
! post-smoother, and 5 block-Jacobi sweeps (with UMFPACK LU
|
||||
! on the blocks) as distributed coarsest-level solver
|
||||
|
||||
call mld_precinit(P,'ML',info,nlev=3)
|
||||
call mld_precset(P,mld_ml_type_,'ADD',info)
|
||||
call mld_precset(P,mld_smoother_pos_,'TWOSIDE',info)
|
||||
call mld_precset(P,mld_coarse_sweeps_,5,info)
|
||||
|
||||
end select
|
||||
|
||||
! build the preconditioner
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
|
||||
call mld_precbld(A,desc_A,P,info)
|
||||
|
||||
tprec = psb_wtime()-t1
|
||||
call psb_amx(ictxt, tprec)
|
||||
|
||||
if (info /= 0) then
|
||||
call psb_errpush(4010,name,a_err='psb_precbld')
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
! set the solver parameters and the initial guess
|
||||
|
||||
call psb_geall(x,desc_A,info)
|
||||
x(:) =0.0
|
||||
call psb_geasb(x,desc_A,info)
|
||||
|
||||
! solve Ax=b with preconditioned BiCGSTAB
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
|
||||
call psb_krylov('BICGSTAB',A,P,b,x,tol,desc_A,info,itmax,iter,err,itrace=1,istop=2)
|
||||
|
||||
t2 = psb_wtime() - t1
|
||||
call psb_amx(ictxt,t2)
|
||||
|
||||
call psb_geall(r,desc_A,info)
|
||||
r(:) =0.0
|
||||
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)
|
||||
call psb_genrm2s(resmx,r,desc_A,info)
|
||||
call psb_geamaxs(resmxp,r,desc_A,info)
|
||||
|
||||
amatsize = psb_sizeof(A)
|
||||
descsize = psb_sizeof(desc_A)
|
||||
precsize = mld_sizeof(P)
|
||||
call psb_sum(ictxt,amatsize)
|
||||
call psb_sum(ictxt,descsize)
|
||||
call psb_sum(ictxt,precsize)
|
||||
|
||||
call mld_precdescr(P,info)
|
||||
|
||||
if (iam==psb_root_) then
|
||||
write(*,'(" ")')
|
||||
write(*,'("Matrix from PDE example")')
|
||||
write(*,'("Computed solution on ",i8," processors")')np
|
||||
write(*,'("Iterations to convergence : ",i6)')iter
|
||||
write(*,'("Error estimate on exit : ",es10.4)')err
|
||||
write(*,'("Time to build prec. : ",es10.4)')tprec
|
||||
write(*,'("Time to solve system : ",es10.4)')t2
|
||||
write(*,'("Time per iteration : ",es10.4)')t2/(iter)
|
||||
write(*,'("Total time : ",es10.4)')t2+tprec
|
||||
write(*,'("Residual 2-norm : ",es10.4)')resmx
|
||||
write(*,'("Residual inf-norm : ",es10.4)')resmxp
|
||||
write(*,'("Total memory occupation for A : ",i10)')amatsize
|
||||
write(*,'("Total memory occupation for DESC_A : ",i10)')descsize
|
||||
write(*,'("Total memory occupation for PREC : ",i10)')precsize
|
||||
end if
|
||||
|
||||
call psb_gefree(b, desc_A,info)
|
||||
call psb_gefree(x, desc_A,info)
|
||||
call psb_spfree(A, desc_A,info)
|
||||
call mld_precfree(P,info)
|
||||
call psb_cdfree(desc_A,info)
|
||||
|
||||
9999 continue
|
||||
if(info /= 0) then
|
||||
call psb_error(ictxt)
|
||||
end if
|
||||
call psb_exit(ictxt)
|
||||
stop
|
||||
|
||||
contains
|
||||
!
|
||||
! get parameters from standard input
|
||||
!
|
||||
subroutine get_parms(ictxt,choice,idim,itmax,tol)
|
||||
|
||||
use psb_base_mod
|
||||
implicit none
|
||||
|
||||
integer :: choice, idim, ictxt, itmax
|
||||
real(psb_dpk_) :: tol
|
||||
integer :: iam, np
|
||||
|
||||
call psb_info(ictxt,iam,np)
|
||||
|
||||
if (iam==psb_root_) then
|
||||
! read input parameters
|
||||
call read_data(choice,5)
|
||||
call read_data(idim,5)
|
||||
call read_data(itmax,5)
|
||||
call read_data(tol,5)
|
||||
end if
|
||||
|
||||
call psb_bcast(ictxt,choice)
|
||||
call psb_bcast(ictxt,idim)
|
||||
call psb_bcast(ictxt,itmax)
|
||||
call psb_bcast(ictxt,tol)
|
||||
|
||||
end subroutine get_parms
|
||||
|
||||
!
|
||||
! subroutine to allocate and fill in the coefficient matrix and
|
||||
! the rhs
|
||||
!
|
||||
subroutine create_matrix(idim,a,b,xv,desc_a,parts,ictxt,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 = 0
|
||||
! 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_base_mod
|
||||
implicit none
|
||||
integer :: idim
|
||||
integer, parameter :: nbmax=10
|
||||
real(psb_dpk_), allocatable :: b(:),xv(:)
|
||||
type(psb_desc_type) :: desc_a
|
||||
integer :: ictxt, info
|
||||
interface
|
||||
! .....user passed subroutine.....
|
||||
subroutine parts(global_indx,n,np,pv,nv)
|
||||
implicit none
|
||||
integer, intent(in) :: global_indx, n, np
|
||||
integer, intent(out) :: nv
|
||||
integer, intent(out) :: pv(*)
|
||||
end subroutine parts
|
||||
end interface
|
||||
! local variables
|
||||
type(psb_dspmat_type) :: a
|
||||
real(psb_dpk_) :: zt(nbmax),glob_x,glob_y,glob_z
|
||||
integer :: m,n,nnz,glob_row
|
||||
integer :: x,y,z,ia,indx_owner
|
||||
integer :: np, iam
|
||||
integer :: element
|
||||
integer :: nv, inv
|
||||
integer, allocatable :: irow(:),icol(:)
|
||||
real(psb_dpk_), allocatable :: val(:)
|
||||
integer, allocatable :: prv(:)
|
||||
! 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_) :: t1, t2, t3, tins, tasb
|
||||
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
|
||||
|
||||
info = 0
|
||||
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(0,'("Generating Matrix (size=",i0x,")...")')n
|
||||
|
||||
call psb_cdall(ictxt,desc_a,info,mg=n,parts=parts)
|
||||
call psb_spall(a,desc_a,info,nnz=nnz)
|
||||
! define rhs from boundary conditions; also build initial guess
|
||||
call psb_geall(b,desc_a,info)
|
||||
call psb_geall(xv,desc_a,info)
|
||||
if(info /= 0) then
|
||||
info=4010
|
||||
call psb_errpush(info,name)
|
||||
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*nbmax),irow(20*nbmax),&
|
||||
&icol(20*nbmax),prv(np),stat=info)
|
||||
if (info /= 0 ) then
|
||||
info=4000
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
endif
|
||||
|
||||
tins = 0.d0
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
|
||||
! loop over rows belonging to current process in a block
|
||||
! distribution.
|
||||
|
||||
! icol(1)=1
|
||||
do glob_row = 1, n
|
||||
call parts(glob_row,n,np,prv,nv)
|
||||
do inv = 1, nv
|
||||
indx_owner = prv(inv)
|
||||
if (indx_owner == iam) then
|
||||
! local matrix pointer
|
||||
element=1
|
||||
! compute gridpoint coordinates
|
||||
if (mod(glob_row,(idim*idim)) == 0) then
|
||||
x = glob_row/(idim*idim)
|
||||
else
|
||||
x = glob_row/(idim*idim)+1
|
||||
endif
|
||||
if (mod((glob_row-(x-1)*idim*idim),idim) == 0) then
|
||||
y = (glob_row-(x-1)*idim*idim)/idim
|
||||
else
|
||||
y = (glob_row-(x-1)*idim*idim)/idim+1
|
||||
endif
|
||||
z = glob_row-(x-1)*idim*idim-(y-1)*idim
|
||||
! glob_x, glob_y, glob_x coordinates
|
||||
glob_x=x*deltah
|
||||
glob_y=y*deltah
|
||||
glob_z=z*deltah
|
||||
|
||||
! check on boundary points
|
||||
zt(1) = 0.d0
|
||||
! internal point: build discretization
|
||||
!
|
||||
! term depending on (x-1,y,z)
|
||||
!
|
||||
if (x==1) then
|
||||
val(element)=-b1(glob_x,glob_y,glob_z)&
|
||||
& -a1(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
zt(1) = exp(-glob_y**2-glob_z**2)*(-val(element))
|
||||
else
|
||||
val(element)=-b1(glob_x,glob_y,glob_z)&
|
||||
& -a1(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x-2)*idim*idim+(y-1)*idim+(z)
|
||||
element=element+1
|
||||
endif
|
||||
! term depending on (x,y-1,z)
|
||||
if (y==1) then
|
||||
val(element)=-b2(glob_x,glob_y,glob_z)&
|
||||
& -a2(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
zt(1) = exp(-glob_y**2-glob_z**2)*exp(-glob_x)*(-val(element))
|
||||
else
|
||||
val(element)=-b2(glob_x,glob_y,glob_z)&
|
||||
& -a2(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x-1)*idim*idim+(y-2)*idim+(z)
|
||||
element=element+1
|
||||
endif
|
||||
! term depending on (x,y,z-1)
|
||||
if (z==1) then
|
||||
val(element)=-b3(glob_x,glob_y,glob_z)&
|
||||
& -a3(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
zt(1) = exp(-glob_y**2-glob_z**2)*exp(-glob_x)*(-val(element))
|
||||
else
|
||||
val(element)=-b3(glob_x,glob_y,glob_z)&
|
||||
& -a3(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x-1)*idim*idim+(y-1)*idim+(z-1)
|
||||
element=element+1
|
||||
endif
|
||||
! term depending on (x,y,z)
|
||||
val(element)=2*b1(glob_x,glob_y,glob_z)&
|
||||
& +2*b2(glob_x,glob_y,glob_z)&
|
||||
& +2*b3(glob_x,glob_y,glob_z)&
|
||||
& +a1(glob_x,glob_y,glob_z)&
|
||||
& +a2(glob_x,glob_y,glob_z)&
|
||||
& +a3(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x-1)*idim*idim+(y-1)*idim+(z)
|
||||
element=element+1
|
||||
! term depending on (x,y,z+1)
|
||||
if (z==idim) then
|
||||
val(element)=-b1(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
zt(1) = exp(-glob_y**2-glob_z**2)*exp(-glob_x)*(-val(element))
|
||||
else
|
||||
val(element)=-b1(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x-1)*idim*idim+(y-1)*idim+(z+1)
|
||||
element=element+1
|
||||
endif
|
||||
! term depending on (x,y+1,z)
|
||||
if (y==idim) then
|
||||
val(element)=-b2(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
zt(1) = exp(-glob_y**2-glob_z**2)*exp(-glob_x)*(-val(element))
|
||||
else
|
||||
val(element)=-b2(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x-1)*idim*idim+(y)*idim+(z)
|
||||
element=element+1
|
||||
endif
|
||||
! term depending on (x+1,y,z)
|
||||
if (x<idim) then
|
||||
val(element)=-b3(glob_x,glob_y,glob_z)
|
||||
val(element) = val(element)/(deltah*&
|
||||
& deltah)
|
||||
icol(element)=(x)*idim*idim+(y-1)*idim+(z)
|
||||
element=element+1
|
||||
endif
|
||||
irow(1:element-1)=glob_row
|
||||
ia=glob_row
|
||||
|
||||
t3 = psb_wtime()
|
||||
call psb_spins(element-1,irow,icol,val,a,desc_a,info)
|
||||
if(info /= 0) exit
|
||||
tins = tins + (psb_wtime()-t3)
|
||||
call psb_geins(1,(/ia/),zt(1:1),b,desc_a,info)
|
||||
if(info /= 0) exit
|
||||
zt(1)=0.d0
|
||||
call psb_geins(1,(/ia/),zt(1:1),xv,desc_a,info)
|
||||
if(info /= 0) exit
|
||||
end if
|
||||
end do
|
||||
end do
|
||||
|
||||
call psb_barrier(ictxt)
|
||||
t2 = psb_wtime()-t1
|
||||
|
||||
if(info /= 0) then
|
||||
info=4010
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
deallocate(val,irow,icol)
|
||||
|
||||
t1 = psb_wtime()
|
||||
call psb_cdasb(desc_a,info)
|
||||
call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_)
|
||||
call psb_barrier(ictxt)
|
||||
tasb = psb_wtime()-t1
|
||||
if(info /= 0) then
|
||||
info=4010
|
||||
call psb_errpush(info,name)
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
call psb_amx(ictxt,t2)
|
||||
call psb_amx(ictxt,tins)
|
||||
call psb_amx(ictxt,tasb)
|
||||
|
||||
if(iam == psb_root_) then
|
||||
write(*,'("The matrix has been generated and assembeld in ",a3," format.")')&
|
||||
& a%fida(1:3)
|
||||
write(*,'("-pspins time : ",es10.4)')tins
|
||||
write(*,'("-insert time : ",es10.4)')t2
|
||||
write(*,'("-assembly time : ",es10.4)')tasb
|
||||
end if
|
||||
|
||||
call psb_geasb(b,desc_a,info)
|
||||
call psb_geasb(xv,desc_a,info)
|
||||
if(info /= 0) then
|
||||
info=4010
|
||||
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(ictxt)
|
||||
return
|
||||
end if
|
||||
return
|
||||
end subroutine create_matrix
|
||||
end program mld_dexample_ml
|
||||
!
|
||||
! functions parametrizing the differential equation
|
||||
!
|
||||
function a1(x,y,z)
|
||||
use psb_base_mod, only : psb_dpk_
|
||||
real(psb_dpk_) :: a1
|
||||
real(psb_dpk_) :: x,y,z
|
||||
! a1=1.d0
|
||||
a1=0.d0
|
||||
end function a1
|
||||
function a2(x,y,z)
|
||||
use psb_base_mod, only : psb_dpk_
|
||||
real(psb_dpk_) :: a2
|
||||
real(psb_dpk_) :: x,y,z
|
||||
! a2=2.d1*y
|
||||
a2=0.d0
|
||||
end function a2
|
||||
function a3(x,y,z)
|
||||
use psb_base_mod, only : psb_dpk_
|
||||
real(psb_dpk_) :: a3
|
||||
real(psb_dpk_) :: x,y,z
|
||||
! a3=1.d0
|
||||
a3=0.d0
|
||||
end function a3
|
||||
function a4(x,y,z)
|
||||
use psb_base_mod, only : psb_dpk_
|
||||
real(psb_dpk_) :: a4
|
||||
real(psb_dpk_) :: x,y,z
|
||||
! a4=1.d0
|
||||
a4=0.d0
|
||||
end function a4
|
||||
function b1(x,y,z)
|
||||
use psb_base_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_base_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_base_mod, only : psb_dpk_
|
||||
real(psb_dpk_) :: b3
|
||||
real(psb_dpk_) :: x,y,z
|
||||
b3=1.d0
|
||||
end function b3
|
@ -1,648 +0,0 @@
|
||||
program df_bench
|
||||
use psb_base_mod
|
||||
use psb_util_mod
|
||||
use mld_prec_mod
|
||||
use psb_krylov_mod
|
||||
implicit none
|
||||
|
||||
! input parameters
|
||||
character(len=20) :: kmethd
|
||||
character(len=80) :: outf1, outf2, outf3
|
||||
character(len=20), allocatable :: mtrx(:),rhs(:)
|
||||
type precdata
|
||||
character(len=10) :: lv1, lv2 ! First and second level prec type
|
||||
integer :: nlev !
|
||||
integer :: novr ! number of overlapping levels
|
||||
integer :: restr ! restriction over application of as
|
||||
integer :: prol ! prolongation over application of as
|
||||
integer :: ftype1 ! Factorization type: ILU, SuperLU, UMFPACK.
|
||||
integer :: fill1 ! Fill-in for factorization 1
|
||||
real(psb_dpk_) :: thr1 ! Threshold for fact. 1 ILU(T)
|
||||
integer :: mltype ! additive or multiplicative 2nd level prec
|
||||
integer :: aggr ! local or global aggregation
|
||||
integer :: smthkind ! smoothing type
|
||||
integer :: cmat ! coarse mat
|
||||
integer :: smthpos ! pre, post, both smoothing
|
||||
integer :: glbsmth ! global smoothing
|
||||
integer :: cslv ! Coarse solver: BJAC, SuperLU_Dist, UMF.
|
||||
integer :: ftype2 ! Factorization type: ILU, SuperLU, UMFPACK.
|
||||
integer :: fill2 ! Fill-in for factorization 1
|
||||
real(psb_dpk_) :: thr2 ! Threshold for fact. 1 ILU(T)
|
||||
integer :: jswp ! Jacobi sweeps
|
||||
real(psb_dpk_) :: omega ! smoother omega
|
||||
real(psb_dpk_) :: athres ! smoother aggregation
|
||||
character(len=40) :: descr ! verbose description of the prec
|
||||
end type precdata
|
||||
type(precdata), allocatable :: precs(:)
|
||||
|
||||
! sparse matrices
|
||||
type(psb_dspmat_type) :: a, aux_a
|
||||
|
||||
! preconditioner data
|
||||
type(mld_dprec_type) :: pre
|
||||
integer :: igsmth, matop, novr
|
||||
|
||||
|
||||
! dense matrices
|
||||
real(psb_dpk_), allocatable, target :: aux_b(:,:), d(:)
|
||||
real(psb_dpk_), allocatable , save :: b_col(:), x_col(:), r_col(:), &
|
||||
& x_col_glob(:), r_col_glob(:)
|
||||
real(psb_dpk_), pointer :: b_col_glob(:)
|
||||
! communications data structure
|
||||
type(psb_desc_type):: desc_a
|
||||
|
||||
! blacs variables
|
||||
integer :: ictxt, iam, np
|
||||
logical :: out1, out2
|
||||
|
||||
! solver paramters
|
||||
integer :: iter, itmax, ierr, itrace, ircode, ipart,nlev,&
|
||||
& methd, istopc, iprec, ml, irnum, irst, ntry, nmat, ilev,ipsize,asize,cdsize
|
||||
real(psb_dpk_) :: err, eps
|
||||
|
||||
character(len=5) :: afmt
|
||||
character(len=20) :: name
|
||||
integer :: iparm(20)
|
||||
|
||||
! other variables
|
||||
integer :: i,info,j,m_problem, nm, nt
|
||||
integer :: internal, m,ii,nnzero, nprecs, pp
|
||||
real(psb_dpk_) :: t1, t2, tprec, r_amax, b_amax,&
|
||||
&scale,resmx,resmxp, mttot, mtslv, mtprec
|
||||
integer :: nrhs, nrow, n_row, dim, nv, ne
|
||||
integer, allocatable :: ipv(:), neigh(:), ivg(:)
|
||||
|
||||
|
||||
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
|
||||
|
||||
|
||||
name='df_bench'
|
||||
if(psb_get_errstatus() /= 0) goto 9999
|
||||
info=0
|
||||
call psb_set_errverbosity(2)
|
||||
|
||||
!
|
||||
! get parameters
|
||||
!
|
||||
call get_parms(ictxt,irst,irnum,ntry,nmat,mtrx,rhs,kmethd,nprecs,precs,&
|
||||
& ipart,afmt,istopc,itmax,itrace,eps,outf1,outf2)
|
||||
|
||||
if(iam == psb_root_) then
|
||||
if(outf1 /= 'NONE') then
|
||||
open(8,file=outf1,action='write')
|
||||
out1=.true.
|
||||
else
|
||||
out1=.false.
|
||||
end if
|
||||
|
||||
if(outf2 /= 'NONE') then
|
||||
open(10,file=outf2,action='write')
|
||||
out2=.true.
|
||||
else
|
||||
out2=.false.
|
||||
end if
|
||||
end if
|
||||
|
||||
do nm=1, nmat
|
||||
|
||||
if(iam == psb_root_) write(*,'(25("=")," ",a20," ",25("="))')mtrx(nm)
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
! read the input matrix to be processed and (possibly) the rhs
|
||||
nrhs = 1
|
||||
|
||||
if (iam == psb_root_) then
|
||||
call read_mat(mtrx(nm), aux_a, ictxt)
|
||||
|
||||
m_problem = aux_a%m
|
||||
call psb_bcast(ictxt,m_problem,psb_root_)
|
||||
|
||||
if(rhs(nm) /= 'none') then
|
||||
! reading an rhs
|
||||
call read_rhs(rhs(nm),aux_b,ictxt)
|
||||
end if
|
||||
|
||||
if (allocated(aux_b).and.size(aux_b,1)==m_problem) then
|
||||
! if any rhs were present, broadcast the first one
|
||||
b_col_glob =>aux_b(:,1)
|
||||
else
|
||||
allocate(aux_b(m_problem,1), stat=ircode)
|
||||
if (ircode /= 0) then
|
||||
call psb_errpush(4000,name)
|
||||
goto 9999
|
||||
endif
|
||||
|
||||
b_col_glob => aux_b(:,1)
|
||||
do i=1, m_problem
|
||||
b_col_glob(i) = 1.d0
|
||||
enddo
|
||||
endif
|
||||
call psb_bcast(ictxt,b_col_glob(1:m_problem),psb_root_)
|
||||
else
|
||||
call psb_bcast(ictxt,m_problem,psb_root_)
|
||||
allocate(aux_b(m_problem,1), stat=ircode)
|
||||
if (ircode /= 0) then
|
||||
call psb_errpush(4000,name)
|
||||
goto 9999
|
||||
endif
|
||||
b_col_glob =>aux_b(:,1)
|
||||
call psb_bcast(ictxt,b_col_glob(1:m_problem),psb_root_)
|
||||
end if
|
||||
|
||||
|
||||
! switch over different partition types
|
||||
if (ipart == 0) then
|
||||
call psb_barrier(ictxt)
|
||||
! if (iam == psb_root_) write(*,'("Partition type: block")')
|
||||
allocate(ivg(m_problem),ipv(np))
|
||||
if (.true.) then
|
||||
do i=1,m_problem
|
||||
call part_block(i,m_problem,np,ipv,nv)
|
||||
ivg(i) = ipv(1)
|
||||
enddo
|
||||
call psb_matdist(aux_a, a, ivg, ictxt, &
|
||||
& desc_a,b_col_glob,b_col,info,fmt=afmt)
|
||||
else
|
||||
call psb_matdist(aux_a, a, part_block, ictxt, &
|
||||
& desc_a,b_col_glob,b_col,info,fmt=afmt)
|
||||
end if
|
||||
else if (ipart == 2) then
|
||||
if (iam == psb_root_) then
|
||||
call build_mtpart(aux_a%m,aux_a%fida,aux_a%ia1,aux_a%ia2,np)
|
||||
endif
|
||||
call psb_barrier(ictxt)
|
||||
call distr_mtpart(0,ictxt)
|
||||
call getv_mtpart(ivg)
|
||||
call psb_matdist(aux_a, a, ivg, ictxt, &
|
||||
& desc_a,b_col_glob,b_col,info,fmt=afmt)
|
||||
call free_part(info)
|
||||
else
|
||||
call psb_matdist(aux_a, a, part_block, ictxt, &
|
||||
& desc_a,b_col_glob,b_col,info,fmt=afmt)
|
||||
end if
|
||||
!!$ open(20+iam)
|
||||
!!$ call psb_cdprt(20+iam,desc_a,short=.false.)
|
||||
!!$ close(20+iam)
|
||||
!!$ write(0,*) iam,'After CDPRT '
|
||||
!!$ call flush(0)
|
||||
!!$ call flush(6)
|
||||
!!$ call psb_barrier(ictxt)
|
||||
|
||||
call psb_geall(x_col,desc_a,info)
|
||||
x_col(:) =0.0
|
||||
call psb_geasb(x_col,desc_a,info)
|
||||
call psb_geall(r_col,desc_a,info)
|
||||
r_col(:) =0.0
|
||||
call psb_geasb(r_col,desc_a,info)
|
||||
t2 = psb_wtime() - t1
|
||||
|
||||
!!$ call psb_csprt(10+iam,a,head='% (A)')
|
||||
call psb_sp_free(aux_a,info)
|
||||
|
||||
call psb_amx(ictxt, t2)
|
||||
|
||||
!!$ call psb_csprt(20+iam,a,head='% (A)')
|
||||
!
|
||||
! prepare the preconditioning matrix. note the availability
|
||||
! of optional parameters
|
||||
!
|
||||
|
||||
|
||||
do pp=1, nprecs
|
||||
|
||||
mttot=1.d300
|
||||
|
||||
do nt=1,ntry
|
||||
|
||||
if (precs(pp)%lv2(1:2) == 'ml') then
|
||||
if (precs(pp)%nlev < 2) then
|
||||
write(0,*) 'Inconsistent number of levels ',precs(pp)%nlev,&
|
||||
& ' forcing 2'
|
||||
precs(pp)%nlev = 2
|
||||
end if
|
||||
nlev = precs(pp)%nlev
|
||||
call mld_precinit(pre,precs(pp)%lv2,info,nlev=nlev)
|
||||
! Defaults are OK for all intermediate levels. Only fix last level.
|
||||
if (precs(pp)%omega>=0.0) then
|
||||
call mld_precset(pre,mld_aggr_damp_,precs(pp)%omega,info)
|
||||
end if
|
||||
call mld_precset(pre,mld_ml_type_, precs(pp)%mltype, info)
|
||||
call mld_precset(pre,mld_aggr_alg_, precs(pp)%aggr, info)
|
||||
call mld_precset(pre,mld_aggr_kind_, precs(pp)%smthkind, info)
|
||||
call mld_precset(pre,mld_smoother_pos_, precs(pp)%smthpos, info)
|
||||
call mld_precset(pre,mld_coarse_solve_, precs(pp)%cslv, info)
|
||||
call mld_precset(pre,mld_coarse_subsolve_, precs(pp)%ftype2, info)
|
||||
call mld_precset(pre,mld_coarse_fillin_, precs(pp)%fill2, info)
|
||||
call mld_precset(pre,mld_coarse_fthrs_, precs(pp)%thr2, info)
|
||||
call mld_precset(pre,mld_coarse_sweeps_, precs(pp)%jswp, info)
|
||||
call mld_precset(pre,mld_coarse_mat_, precs(pp)%cmat, info)
|
||||
else
|
||||
call mld_precinit(pre,precs(pp)%lv1,info)
|
||||
end if
|
||||
call mld_precset(pre,mld_sub_solve_, precs(pp)%ftype1, info)
|
||||
call mld_precset(pre,mld_sub_restr_, precs(pp)%restr, info)
|
||||
call mld_precset(pre,mld_sub_prol_, precs(pp)%prol, info)
|
||||
call mld_precset(pre,mld_sub_ovr_, precs(pp)%novr, info)
|
||||
call mld_precset(pre,mld_sub_fillin_, precs(pp)%fill1, info)
|
||||
call mld_precset(pre,mld_fact_thrs_, precs(pp)%thr1, info)
|
||||
|
||||
|
||||
! setting initial guess to zero
|
||||
call psb_geaxpby(dzero,b_col,dzero,x_col,desc_a,info)
|
||||
|
||||
! building the preconditioner
|
||||
!!$ write(0,*) 'Check in main program on hasv in:',allocated(desc_a%hashv)
|
||||
!!$ call flush(0)
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
call mld_precbld(a,desc_a,pre,info)
|
||||
tprec = psb_wtime()-t1
|
||||
if (info /= 0) then
|
||||
write(0,*) 'INFO from precbld ',info
|
||||
call psb_error()
|
||||
goto 9999
|
||||
end if
|
||||
if (psb_get_errstatus() /= 0) then
|
||||
write(0,*) 'INFO from precbld ',info
|
||||
call psb_error()
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
!!$ write(0,*) 'Check in main program on hasv out:',allocated(desc_a%hashv)
|
||||
!!$ call flush(0)
|
||||
call psb_amx(ictxt,tprec)
|
||||
!!$ call psb_csprt(40+iam,a,head='% (A)')
|
||||
!!$ if (iam == psb_root_) then
|
||||
!!$ write(*,'("Matrix : ",a)') mtrx(nm)
|
||||
!!$ write(*,'("RHS : ",a)') rhs(nm)
|
||||
!!$ write(*,'("Method : ",a)') kmethd
|
||||
!!$ write(*,'("Preconditioner : ",a)') precs(pp)%descr
|
||||
!!$ call mld_precdescr(pre)
|
||||
!!$ call flush(6)
|
||||
!!$ end if
|
||||
iparm = 0
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
call psb_krylov(kmethd,a,pre,b_col,x_col,eps,desc_a,info,&
|
||||
& itmax=itmax,iter=iter,err=err,itrace=itrace,&
|
||||
& irst=irst,istop=istopc)
|
||||
call psb_barrier(ictxt)
|
||||
t2 = psb_wtime() - t1
|
||||
call psb_amx(ictxt,t2)
|
||||
if (info/=0) then
|
||||
write(0,*) 'INFO from solver ',info
|
||||
call psb_errpush(4010,name,a_err='psb_SOLVER')
|
||||
goto 9999
|
||||
end if
|
||||
!!$ write(0,*) iam,'Done Solver'
|
||||
!!$ call flush(0)
|
||||
!!$ call flush(6)
|
||||
!!$ call psb_barrier(ictxt)
|
||||
if(iam == psb_root_.and.out2) &
|
||||
& write(10,'(a20,2(1x,i3),1x,i5,3(1x,g9.4),1x,a8,1x,a)') &
|
||||
& mtrx(nm),np,precs(pp)%novr,iter,tprec,t2,t2+tprec,&
|
||||
& trim(kmethd),trim(precs(pp)%descr)
|
||||
if(iam == psb_root_) &
|
||||
& write(0,'(a20,2(1x,i3),1x,i5,3(1x,g9.4),1x,a8,1x,a)') &
|
||||
& mtrx(nm),np,precs(pp)%novr,iter,tprec,t2,t2+tprec,&
|
||||
& trim(kmethd),trim(precs(pp)%descr)
|
||||
if (nt.lt.ntry) call mld_precfree(pre,info)
|
||||
if((t2+tprec).lt.mttot) then
|
||||
mtslv=t2
|
||||
mtprec=tprec
|
||||
mttot=t2+tprec
|
||||
end if
|
||||
end do
|
||||
!!$ call psb_csprt(50+iam,a,head='% (A)')
|
||||
!!$ write(0,*) 'Check hashv after precfree:',allocated(desc_a%hashv)
|
||||
!!$ call flush(0)
|
||||
|
||||
call psb_geaxpby(done,b_col,dzero,r_col,desc_a,info)
|
||||
call psb_spmm(-done,a,x_col,done,r_col,desc_a,info)
|
||||
call psb_genrm2s(resmx,r_col,desc_a,info)
|
||||
call psb_geamaxs(resmxp,r_col,desc_a,info)
|
||||
|
||||
ipsize = mld_sizeof(pre)
|
||||
asize = psb_sizeof(a)
|
||||
cdsize = psb_sizeof(desc_a)
|
||||
call psb_sum(ictxt,ipsize)
|
||||
call psb_sum(ictxt,asize)
|
||||
call psb_sum(ictxt,cdsize)
|
||||
|
||||
if (iam == psb_root_) then
|
||||
write(*,'("Matrix : ",a)') mtrx(nm)
|
||||
write(*,'("RHS : ",a)') rhs(nm)
|
||||
write(*,'("Method : ",a)') kmethd
|
||||
write(*,'("Preconditioner : ",a)') precs(pp)%descr
|
||||
call mld_precdescr(pre)
|
||||
write(*,'("Computed solution on ",i4," processors")')np
|
||||
write(*,'(" ")')
|
||||
write(*,'("Iterations to convergence: ",i6)') iter
|
||||
write(*,'("Error indicator on exit : ",g9.4)') err
|
||||
write(*,'("Time to buil prec. : ",es10.4)')mtprec
|
||||
write(*,'("Time to solve matrix : ",es10.4)')mtslv
|
||||
write(*,'("Time per iteration : ",es10.4)')mtslv/(iter)
|
||||
write(*,'("Total time : ",es10.4)')mttot
|
||||
write(*,'("Residual norm 2 : ",es10.4)')resmx
|
||||
write(*,'("Residual norm inf : ",es10.4)')resmxp
|
||||
write(*,'("Total memory occupation for A: ",i10)')asize
|
||||
write(*,'("Total memory occupation for DESC_A: ",i10)')cdsize
|
||||
write(*,'("Total memory occupation for PRE: ",i10)')ipsize
|
||||
|
||||
write(*,'(72("="))')
|
||||
write(*,'(" ")')
|
||||
write(*,'(" ")')
|
||||
write(*,'(" ")')
|
||||
|
||||
if(out1) write(8,'(a20,2(1x,i3),1x,i5,5(1x,g9.4),1x,a8,1x,a)') mtrx(nm),&
|
||||
& np,precs(pp)%novr,&
|
||||
& iter,mtprec,mtslv,mttot,resmx,resmxp,&
|
||||
& trim(kmethd),trim(precs(pp)%descr)
|
||||
end if
|
||||
|
||||
call mld_precfree(pre,info)
|
||||
|
||||
if (.false.) then
|
||||
allocate(x_col_glob(m_problem),r_col_glob(m_problem),stat=ierr)
|
||||
if (ierr /= 0) then
|
||||
write(0,*) 'allocation error: no data collection'
|
||||
else
|
||||
call psb_gather(x_col_glob,x_col,desc_a,info,root=psb_root_)
|
||||
call psb_gather(r_col_glob,r_col,desc_a,info,root=psb_root_)
|
||||
if (iam == psb_root_) then
|
||||
write(0,'(" ")')
|
||||
write(0,'("Saving x on file")')
|
||||
write(outf3,'(a,a,a)')trim(mtrx(nm)),'.psb_sol.',&
|
||||
& psb_tolower(trim(precs(pp)%descr))
|
||||
open(20,file=outf3)
|
||||
write(20,*) 'matrix: ',mtrx(nm)
|
||||
write(20,*) 'computed solution on ',np,' processors.'
|
||||
write(20,*) 'iterations to convergence: ',iter
|
||||
write(20,*) 'error indicator (infinity norm) on exit:', &
|
||||
& ' ||r||/(||a||||x||+||b||) = ',err
|
||||
write(20,*) 'max residual = ',resmx, resmxp
|
||||
do i=1,m_problem
|
||||
write(20,998) i,x_col_glob(i),b_col_glob(i)
|
||||
enddo
|
||||
close(20)
|
||||
end if
|
||||
end if
|
||||
end if
|
||||
998 format(i8,4(2x,g20.14))
|
||||
993 format(i6,4(1x,e12.6))
|
||||
|
||||
|
||||
!!$ if (pp == 1) call psb_csprt(40+iam,a,head='% (A)')
|
||||
end do
|
||||
|
||||
call psb_gefree(b_col, desc_a,info)
|
||||
call psb_gefree(x_col, desc_a,info)
|
||||
call psb_spfree(a, desc_a,info)
|
||||
call psb_cdfree(desc_a,info)
|
||||
deallocate(r_col,stat=info)
|
||||
deallocate(aux_b,stat=info)
|
||||
if (ipart==0) then
|
||||
deallocate(ivg,ipv,stat=info)
|
||||
endif
|
||||
end do
|
||||
|
||||
9999 continue
|
||||
if(info /= 0) then
|
||||
call psb_error(ictxt)
|
||||
end if
|
||||
call psb_exit(ictxt)
|
||||
stop
|
||||
|
||||
|
||||
contains
|
||||
!
|
||||
! get iteration parameters from standard input
|
||||
!
|
||||
subroutine get_parms(icontxt,irst,irnum,ntry,nmat,mtrx,rhs,kmethd,nprecs,precs,ipart,&
|
||||
& afmt,istopc,itmax,itrace,eps,outf1,outf2)
|
||||
|
||||
use psb_base_mod
|
||||
implicit none
|
||||
|
||||
integer :: icontxt
|
||||
character(len=20) :: kmethd
|
||||
character(len=80) :: outf1, outf2
|
||||
character(len=20),allocatable :: mtrx(:), rhs(:)
|
||||
type(precdata),allocatable :: precs(:)
|
||||
integer :: iret, istopc,itmax,itrace,ipart,nmat,nprecs,irst,irnum,ntry
|
||||
character(len=1024) :: charbuf
|
||||
real(psb_dpk_) :: eps, omega,thr1,thr2
|
||||
character :: afmt*5, lv1*10, lv2*10, pdescr*40
|
||||
integer :: iam, nm, np, i, idx
|
||||
integer, parameter :: npparms=15
|
||||
integer :: inparms(40), ip, pparms(npparms)
|
||||
|
||||
call psb_info(icontxt,iam,np)
|
||||
|
||||
if (iam==psb_root_) then
|
||||
! read input parameters
|
||||
read(*,*) outf1
|
||||
read(*,*) outf2
|
||||
read(*,*) kmethd
|
||||
read(*,*) eps
|
||||
read(*,*) afmt
|
||||
|
||||
call psb_bcast(icontxt,kmethd)
|
||||
call psb_bcast(icontxt,eps,0)
|
||||
|
||||
call psb_bcast(icontxt,afmt)
|
||||
|
||||
read(*,*) ipart
|
||||
read(*,*) itmax
|
||||
read(*,*) itrace
|
||||
read(*,*) istopc
|
||||
read(*,*) irst
|
||||
read(*,*) irnum
|
||||
read(*,*) ntry
|
||||
read(*,*) nprecs
|
||||
! broadcast parameters to all processors
|
||||
|
||||
inparms(1) = ipart
|
||||
inparms(2) = itmax
|
||||
inparms(3) = itrace
|
||||
inparms(4) = istopc
|
||||
inparms(5) = irst
|
||||
inparms(6) = irnum
|
||||
inparms(7) = ntry
|
||||
call psb_bcast(icontxt,inparms(1:7))
|
||||
|
||||
call psb_bcast(icontxt,nprecs)
|
||||
|
||||
allocate(precs(nprecs))
|
||||
|
||||
do np=1,nprecs
|
||||
read(*,'(a)')charbuf
|
||||
charbuf = adjustl(charbuf)
|
||||
idx=index(charbuf," ")
|
||||
read(charbuf(1:idx-1),'(a)')lv1
|
||||
charbuf=adjustl(charbuf(idx:))
|
||||
idx=index(charbuf," ")
|
||||
read(charbuf(1:idx-1),'(a)')lv2
|
||||
charbuf=adjustl(charbuf(idx:))
|
||||
do i=1, npparms
|
||||
idx=index(charbuf," ")
|
||||
read(charbuf(1:idx),*) pparms(i)
|
||||
charbuf=adjustl(charbuf(idx:))
|
||||
end do
|
||||
idx=index(charbuf," ")
|
||||
read(charbuf(1:idx),*) omega
|
||||
charbuf=adjustl(charbuf(idx:))
|
||||
idx=index(charbuf," ")
|
||||
read(charbuf(1:idx),*) thr1
|
||||
charbuf=adjustl(charbuf(idx:))
|
||||
idx=index(charbuf," ")
|
||||
read(charbuf(1:idx),*) thr2
|
||||
charbuf=adjustl(charbuf(idx:))
|
||||
read(charbuf,'(a)') pdescr
|
||||
|
||||
call psb_bcast(icontxt,pdescr)
|
||||
precs(np)%descr=pdescr
|
||||
|
||||
call psb_bcast(icontxt,lv1)
|
||||
call psb_bcast(icontxt,lv2)
|
||||
call psb_bcast(icontxt,pparms(1:npparms))
|
||||
call psb_bcast(icontxt,omega)
|
||||
call psb_bcast(icontxt,thr1)
|
||||
call psb_bcast(icontxt,thr2)
|
||||
|
||||
precs(np)%lv1 = lv1
|
||||
precs(np)%lv2 = lv2
|
||||
precs(np)%novr = pparms(1)
|
||||
precs(np)%restr = pparms(2)
|
||||
precs(np)%prol = pparms(3)
|
||||
precs(np)%ftype1 = pparms(4)
|
||||
precs(np)%fill1 = pparms(5)
|
||||
precs(np)%mltype = pparms(6)
|
||||
precs(np)%aggr = pparms(7)
|
||||
precs(np)%smthkind = pparms(8)
|
||||
precs(np)%cmat = pparms(9)
|
||||
precs(np)%smthpos = pparms(10)
|
||||
precs(np)%cslv = pparms(11)
|
||||
precs(np)%ftype2 = pparms(12)
|
||||
precs(np)%fill2 = pparms(13)
|
||||
precs(np)%jswp = pparms(14)
|
||||
precs(np)%nlev = pparms(15)
|
||||
precs(np)%omega = omega
|
||||
precs(np)%thr1 = thr1
|
||||
precs(np)%thr2 = thr2
|
||||
end do
|
||||
|
||||
read(*,*) nmat
|
||||
call psb_bcast(icontxt,nmat)
|
||||
allocate(mtrx(nmat),rhs(nmat))
|
||||
|
||||
do nm=1, nmat
|
||||
read(*,'(a)') charbuf
|
||||
charbuf=adjustl(charbuf)
|
||||
idx=index(charbuf," ")
|
||||
mtrx(nm)=charbuf(1:idx-1)
|
||||
rhs(nm)=adjustl(charbuf(idx+1:))
|
||||
call psb_bcast(icontxt,mtrx(nm))
|
||||
call psb_bcast(icontxt,rhs(nm))
|
||||
end do
|
||||
|
||||
else
|
||||
! receive parameters
|
||||
call psb_bcast(icontxt,kmethd)
|
||||
call psb_bcast(icontxt,eps)
|
||||
|
||||
call psb_bcast(icontxt,afmt)
|
||||
|
||||
call psb_bcast(icontxt,inparms(1:7))
|
||||
|
||||
ipart = inparms(1)
|
||||
itmax = inparms(2)
|
||||
itrace = inparms(3)
|
||||
istopc = inparms(4)
|
||||
irst = inparms(5)
|
||||
irnum = inparms(6)
|
||||
ntry = inparms(7)
|
||||
|
||||
call psb_bcast(icontxt,nprecs)
|
||||
allocate(precs(nprecs))
|
||||
|
||||
do np=1,nprecs
|
||||
call psb_bcast(icontxt,pdescr)
|
||||
precs(np)%descr=pdescr
|
||||
|
||||
call psb_bcast(icontxt,lv1)
|
||||
|
||||
call psb_bcast(icontxt,lv2)
|
||||
|
||||
call psb_bcast(icontxt,pparms(1:npparms))
|
||||
call psb_bcast(icontxt,omega)
|
||||
call psb_bcast(icontxt,thr1)
|
||||
call psb_bcast(icontxt,thr2)
|
||||
|
||||
precs(np)%lv1 = lv1
|
||||
precs(np)%lv2 = lv2
|
||||
precs(np)%novr = pparms(1)
|
||||
precs(np)%restr = pparms(2)
|
||||
precs(np)%prol = pparms(3)
|
||||
precs(np)%ftype1 = pparms(4)
|
||||
precs(np)%fill1 = pparms(5)
|
||||
precs(np)%mltype = pparms(6)
|
||||
precs(np)%aggr = pparms(7)
|
||||
precs(np)%smthkind = pparms(8)
|
||||
precs(np)%cmat = pparms(9)
|
||||
precs(np)%smthpos = pparms(10)
|
||||
precs(np)%cslv = pparms(11)
|
||||
precs(np)%ftype2 = pparms(12)
|
||||
precs(np)%fill2 = pparms(13)
|
||||
precs(np)%jswp = pparms(14)
|
||||
precs(np)%nlev = pparms(15)
|
||||
precs(np)%omega = omega
|
||||
precs(np)%thr1 = thr1
|
||||
precs(np)%thr2 = thr2
|
||||
end do
|
||||
|
||||
|
||||
call psb_bcast(icontxt,nmat)
|
||||
allocate(mtrx(nmat),rhs(nmat))
|
||||
|
||||
do nm=1,nmat
|
||||
|
||||
call psb_bcast(icontxt,mtrx(nm))
|
||||
call psb_bcast(icontxt,rhs(nm))
|
||||
|
||||
end do
|
||||
|
||||
end if
|
||||
|
||||
end subroutine get_parms
|
||||
subroutine pr_usage(iout)
|
||||
integer iout
|
||||
write(iout, *) ' number of parameters is incorrect!'
|
||||
write(iout, *) ' use: hb_sample mtrx_file methd prec [ptype &
|
||||
&itmax istopc itrace]'
|
||||
write(iout, *) ' where:'
|
||||
write(iout, *) ' mtrx_file is stored in hb format'
|
||||
write(iout, *) ' methd may be: cgstab '
|
||||
write(iout, *) ' itmax max iterations [500] '
|
||||
write(iout, *) ' istopc stopping criterion [1] '
|
||||
write(iout, *) ' itrace 0 (no tracing, default) or '
|
||||
write(iout, *) ' >= 0 do tracing every itrace'
|
||||
write(iout, *) ' iterations '
|
||||
write(iout, *) ' prec may be: ilu diagsc none'
|
||||
write(iout, *) ' ptype partition strategy default 0'
|
||||
write(iout, *) ' 0: block partition '
|
||||
end subroutine pr_usage
|
||||
|
||||
end program df_bench
|
||||
|
||||
|
||||
|
||||
|
||||
|
@ -1,84 +0,0 @@
|
||||
#!/bin/sh
|
||||
|
||||
#
|
||||
#
|
||||
# NUmber of attempts for each configuration
|
||||
ntry=1
|
||||
|
||||
export GFORTRAN_UNBUFFERED_ALL=y
|
||||
date=`date +%Y%m%d%H%M%S`
|
||||
|
||||
|
||||
|
||||
for np in $*
|
||||
do
|
||||
|
||||
# 3rd batch: 14bis,64bis 4 sweeps
|
||||
echo "mpirun -np $np -machinefile locm df_bench >>log.part$part.ren$renum.${np}p"
|
||||
#/usr/local/mpich-gcc42/bin/mpirun -np $np -machinefile locm df_bench <<EOF
|
||||
mpirun -np $np -machinefile locm df_bench >>run.gfc.kiva.log.${np}p.$date 2>err.gfc.kiva.log.${np}p.$date <<EOF
|
||||
out.${np}p.$date Out file 1: summary
|
||||
stat.${np}p.$date Out file 2: detailed for statistics
|
||||
BICGSTAB iterative method to use
|
||||
1.D-6 EPS
|
||||
CSR Matrix format
|
||||
0 IPART: Partition method: 0: BLOCK 1: BLK2 2:GRAPH
|
||||
00250 ITMAX
|
||||
-1 ITRACE
|
||||
2 ISTOPC 1: NBE Infty 2: |r|2/|b|2
|
||||
30 IRST Restart parameter for GMRES and BiCGSTAB(L)
|
||||
0 RENUM: 0: none 1: global indices (2: GPS band reduction)
|
||||
$ntry NTRY for each comb. print out best timings
|
||||
30 NPRCS nov rst prl fc1 fl1 mlt agg smt cm smp csv ft2 fl2 jsw nl omg th1 th2 name
|
||||
none none 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 -1.0 1e-4 1e-4 NOPREC
|
||||
diag none 0 0 0 1 0 2 0 1 0 2 2 1 0 4 1 -1.0 1e-4 1e-4 DIAG
|
||||
bjac none 0 0 0 1 0 2 0 1 0 2 2 1 0 4 1 -1.0 1e-4 1e-4 BJAC
|
||||
as none 0 1 0 1 0 2 0 1 0 2 2 1 0 4 1 -1.0 1e-4 1e-4 RAS
|
||||
as none 1 1 0 1 0 2 0 1 0 2 2 1 0 4 1 -1.0 1e-4 1e-4 RAS
|
||||
as none 2 1 0 1 0 2 0 1 0 2 2 1 0 4 1 -1.0 1e-4 1e-4 RAS
|
||||
as ml 0 1 0 1 0 2 0 1 0 2 2 1 0 4 2 -1.0 1e-4 1e-4 2L-M-RAS-I-D4
|
||||
as ml 1 1 0 1 0 2 0 1 0 2 2 1 0 4 2 -1.0 1e-4 1e-4 2L-M-RAS-I-D4
|
||||
as ml 2 1 0 1 0 2 0 1 0 2 2 1 0 4 2 -1.0 1e-4 1e-4 2L-M-RAS-I-D4
|
||||
as ml 0 1 0 1 0 2 0 1 0 2 2 5 0 4 2 -1.0 1e-4 1e-4 2L-M-RAS-U-D4
|
||||
as ml 1 1 0 1 0 2 0 1 0 2 2 5 0 4 2 -1.0 1e-4 1e-4 2L-M-RAS-U-D4
|
||||
as ml 2 1 0 1 0 2 0 1 0 2 2 5 0 4 2 -1.0 1e-4 1e-4 2L-M-RAS-U-D4
|
||||
as ml 0 1 0 1 0 2 0 1 0 2 2 1 0 4 3 -1.0 1e-4 1e-4 3L-M-RAS-I-D4
|
||||
as ml 1 1 0 1 0 2 0 1 0 2 2 1 0 4 3 -1.0 1e-4 1e-4 3L-M-RAS-I-D4
|
||||
as ml 2 1 0 1 0 2 0 1 0 2 2 1 0 4 3 -1.0 1e-4 1e-4 3L-M-RAS-I-D4
|
||||
as ml 0 1 0 1 0 2 0 1 0 2 2 5 0 4 3 -1.0 1e-4 1e-4 3L-M-RAS-U-D4
|
||||
as ml 1 1 0 1 0 2 0 1 0 2 2 5 0 4 3 -1.0 1e-4 1e-4 3L-M-RAS-U-D4
|
||||
as ml 2 1 0 1 0 2 0 1 0 2 2 5 0 4 3 -1.0 1e-4 1e-4 3L-M-RAS-U-D4
|
||||
as ml 0 1 0 1 0 2 0 1 1 2 2 1 0 1 2 -1.0 1e-4 1e-4 2L-M-RAS-I-R
|
||||
as ml 1 1 0 1 0 2 0 1 1 2 2 1 0 1 2 -1.0 1e-4 1e-4 2L-M-RAS-I-R
|
||||
as ml 2 1 0 1 0 2 0 1 1 2 2 1 0 1 2 -1.0 1e-4 1e-4 2L-M-RAS-I-R
|
||||
as ml 0 1 0 1 0 2 0 1 1 2 2 5 0 1 2 -1.0 1e-4 1e-4 2L-M-RAS-U-R
|
||||
as ml 1 1 0 1 0 2 0 1 1 2 2 5 0 1 2 -1.0 1e-4 1e-4 2L-M-RAS-U-R
|
||||
as ml 2 1 0 1 0 2 0 1 1 2 2 5 0 1 2 -1.0 1e-4 1e-4 2L-M-RAS-U-R
|
||||
as ml 0 1 0 1 0 2 0 1 1 2 2 1 0 1 3 -1.0 1e-4 1e-4 3L-M-RAS-I-R
|
||||
as ml 1 1 0 1 0 2 0 1 1 2 2 1 0 1 3 -1.0 1e-4 1e-4 3L-M-RAS-I-R
|
||||
as ml 2 1 0 1 0 2 0 1 1 2 2 1 0 1 3 -1.0 1e-4 1e-4 3L-M-RAS-I-R
|
||||
as ml 0 1 0 1 0 2 0 1 1 2 2 5 0 1 3 -1.0 1e-4 1e-4 3L-M-RAS-U-R
|
||||
as ml 1 1 0 1 0 2 0 1 1 2 2 5 0 1 3 -1.0 1e-4 1e-4 3L-M-RAS-U-R
|
||||
as ml 2 1 0 1 0 2 0 1 1 2 2 5 0 1 3 -1.0 1e-4 1e-4 3L-M-RAS-U-R
|
||||
2 Number of matrices
|
||||
kivap004.mtx none
|
||||
kivap001.mtx none
|
||||
thm50x30.mtx none
|
||||
thm200x120.mtx none
|
||||
thm1000x600.mtx none
|
||||
a400x400.mtx b400.mtx
|
||||
kivap007.mtx none
|
||||
!!! preconditioner templates
|
||||
bja none 0 0 0 0 0 0 0 0 0 0 0 0.0 Block Jacobi
|
||||
none none 0 0 0 0 0 0 0 0 0 0 0 0.1 No preconditioner
|
||||
diagsc none 0 0 0 0 0 0 0 0 0 0 0 0.0 Diagonal scaling
|
||||
as none 1 4 1 0 0 0 0 0 0 0 0 0.0 Additive Schwarz 1 overlap
|
||||
as none 1 4 0 0 0 0 0 0 0 0 0 0.0 Restricted Additive Schwarz 1 overlap
|
||||
EOF
|
||||
|
||||
cat out.${np}p.$date >>dat.out.kiva.$date
|
||||
cat stat.${np}p.$date >>dat.stat.kiva.$date
|
||||
|
||||
done
|
||||
|
||||
|
@ -1,594 +0,0 @@
|
||||
program zf_bench
|
||||
use psb_base_mod
|
||||
use psb_util_mod
|
||||
use mld_prec_mod
|
||||
use psb_krylov_mod
|
||||
implicit none
|
||||
|
||||
! input parameters
|
||||
character(len=20) :: kmethd
|
||||
character(len=80) :: outf1, outf2, outf3
|
||||
character(len=20), allocatable :: mtrx(:),rhs(:)
|
||||
type precdata
|
||||
character(len=10) :: lv1, lv2 ! First and second level prec type
|
||||
integer :: nlev !
|
||||
integer :: novr ! number of overlapping levels
|
||||
integer :: restr ! restriction over application of as
|
||||
integer :: prol ! prolongation over application of as
|
||||
integer :: ftype1 ! Factorization type: ILU, SuperLU, UMFPACK.
|
||||
integer :: fill1 ! Fill-in for factorization 1
|
||||
real(psb_dpk_) :: thr1 ! Threshold for fact. 1 ILU(T)
|
||||
integer :: mltype ! additive or multiplicative 2nd level prec
|
||||
integer :: aggr ! local or global aggregation
|
||||
integer :: smthkind ! smoothing type
|
||||
integer :: cmat ! coarse mat
|
||||
integer :: smthpos ! pre, post, both smoothing
|
||||
integer :: glbsmth ! global smoothing
|
||||
integer :: cslv ! Coarse solver: BJAC, SuperLU_Dist, UMF.
|
||||
integer :: ftype2 ! Factorization type: ILU, SuperLU, UMFPACK.
|
||||
integer :: fill2 ! Fill-in for factorization 1
|
||||
real(psb_dpk_) :: thr2 ! Threshold for fact. 1 ILU(T)
|
||||
integer :: jswp ! Jacobi sweeps
|
||||
real(psb_dpk_) :: omega ! smoother omega
|
||||
real(psb_dpk_) :: athres ! smoother aggregation
|
||||
character(len=40) :: descr ! verbose description of the prec
|
||||
end type precdata
|
||||
type(precdata), allocatable :: precs(:)
|
||||
|
||||
|
||||
! sparse matrices
|
||||
type(psb_zspmat_type) :: a, aux_a
|
||||
|
||||
! preconditioner data
|
||||
type(mld_zprec_type) :: pre
|
||||
integer :: igsmth, matop, novr
|
||||
|
||||
! dense matrices
|
||||
complex(psb_dpk_), allocatable, target :: aux_b(:,:), d(:)
|
||||
complex(psb_dpk_), allocatable , save :: b_col(:), x_col(:), r_col(:), &
|
||||
& x_col_glob(:), r_col_glob(:)
|
||||
complex(psb_dpk_), pointer :: b_col_glob(:)
|
||||
|
||||
! communications data structure
|
||||
type(psb_desc_type):: desc_a
|
||||
|
||||
! blacs variables
|
||||
integer :: ictxt, iam, np
|
||||
logical :: out1, out2
|
||||
|
||||
! solver paramters
|
||||
integer :: iter, itmax, ierr, itrace, ircode, ipart,nlev,&
|
||||
& methd, istopc, iprec, ml, irnum, irst, ntry, nmat, ilev,ipsize,asize,cdsize
|
||||
real(psb_dpk_) :: err, eps
|
||||
|
||||
character(len=5) :: afmt
|
||||
character(len=20) :: name
|
||||
integer :: iparm(20)
|
||||
|
||||
! other variables
|
||||
integer :: i,info,j,m_problem, nm, nt
|
||||
integer :: internal, m,ii,nnzero, nprecs, pp
|
||||
real(psb_dpk_) :: t1, t2, tprec, r_amax, b_amax,&
|
||||
&scale,resmx,resmxp, mttot, mtslv, mtprec
|
||||
integer :: nrhs, nrow, n_row, dim, nv, ne
|
||||
integer, allocatable :: ipv(:), neigh(:), ivg(:)
|
||||
|
||||
|
||||
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
|
||||
|
||||
name='zf_bench'
|
||||
if(psb_get_errstatus() /= 0) goto 9999
|
||||
info=0
|
||||
call psb_set_errverbosity(2)
|
||||
!
|
||||
! get parameters
|
||||
!
|
||||
call get_parms(ictxt,irst,irnum,ntry,nmat,mtrx,rhs,kmethd,nprecs,precs,&
|
||||
& ipart,afmt,istopc,itmax,itrace,eps,outf1,outf2)
|
||||
|
||||
if(iam == psb_root_) then
|
||||
if(outf1 /= 'NONE') then
|
||||
open(8,file=outf1,action='write')
|
||||
out1=.true.
|
||||
else
|
||||
out1=.false.
|
||||
end if
|
||||
|
||||
if(outf2 /= 'NONE') then
|
||||
open(10,file=outf2,action='write')
|
||||
out2=.true.
|
||||
else
|
||||
out2=.false.
|
||||
end if
|
||||
end if
|
||||
|
||||
do nm=1, nmat
|
||||
|
||||
if(iam == psb_root_) write(*,'(25("=")," ",a20," ",25("="))')mtrx(nm)
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
! read the input matrix to be processed and (possibly) the rhs
|
||||
nrhs = 1
|
||||
|
||||
if (iam == psb_root_) then
|
||||
call read_mat(mtrx(nm), aux_a, ictxt)
|
||||
|
||||
m_problem = aux_a%m
|
||||
call psb_bcast(ictxt,m_problem)
|
||||
|
||||
if(rhs(nm) /= 'none') then
|
||||
! reading an rhs
|
||||
call read_rhs(rhs(nm),aux_b,ictxt)
|
||||
end if
|
||||
|
||||
if (allocated(aux_b).and.size(aux_b,1)==m_problem) then
|
||||
! if any rhs were present, broadcast the first one
|
||||
b_col_glob =>aux_b(:,1)
|
||||
else
|
||||
allocate(aux_b(m_problem,1), stat=ircode)
|
||||
if (ircode /= 0) then
|
||||
call psb_errpush(4000,name)
|
||||
goto 9999
|
||||
endif
|
||||
|
||||
b_col_glob => aux_b(:,1)
|
||||
do i=1, m_problem
|
||||
b_col_glob(i) = 1.d0
|
||||
enddo
|
||||
endif
|
||||
call psb_bcast(ictxt,b_col_glob(1:m_problem))
|
||||
else
|
||||
call psb_bcast(ictxt,m_problem)
|
||||
allocate(aux_b(m_problem,1), stat=ircode)
|
||||
if (ircode /= 0) then
|
||||
call psb_errpush(4000,name)
|
||||
goto 9999
|
||||
endif
|
||||
b_col_glob =>aux_b(:,1)
|
||||
call psb_bcast(ictxt,b_col_glob(1:m_problem))
|
||||
end if
|
||||
|
||||
! switch over different partition types
|
||||
if (ipart == 0) then
|
||||
call psb_barrier(ictxt)
|
||||
! if (iam == psb_root_) write(*,'("Partition type: block")')
|
||||
allocate(ivg(m_problem),ipv(np))
|
||||
do i=1,m_problem
|
||||
call part_block(i,m_problem,np,ipv,nv)
|
||||
ivg(i) = ipv(1)
|
||||
enddo
|
||||
call psb_matdist(aux_a, a, ivg, ictxt, &
|
||||
& desc_a,b_col_glob,b_col,info,fmt=afmt)
|
||||
else if (ipart == 2) then
|
||||
if (iam == psb_root_) then
|
||||
call build_mtpart(aux_a%m,aux_a%fida,aux_a%ia1,aux_a%ia2,np)
|
||||
endif
|
||||
call psb_barrier(ictxt)
|
||||
call distr_mtpart(psb_root_,ictxt)
|
||||
call getv_mtpart(ivg)
|
||||
call psb_matdist(aux_a, a, ivg, ictxt, &
|
||||
& desc_a,b_col_glob,b_col,info,fmt=afmt)
|
||||
call free_part(info)
|
||||
else
|
||||
call psb_matdist(aux_a, a, part_block, ictxt, &
|
||||
& desc_a,b_col_glob,b_col,info,fmt=afmt)
|
||||
end if
|
||||
|
||||
call psb_geall(x_col,desc_a,info)
|
||||
x_col(:) =0.0
|
||||
call psb_geasb(x_col,desc_a,info)
|
||||
call psb_geall(r_col,desc_a,info)
|
||||
r_col(:) =0.0
|
||||
call psb_geasb(r_col,desc_a,info)
|
||||
t2 = psb_wtime() - t1
|
||||
|
||||
!!$ call psb_csprt(10+iam,a,head='% (A)')
|
||||
call psb_sp_free(aux_a,info)
|
||||
|
||||
call psb_amx(ictxt, t2)
|
||||
|
||||
!!$ call psb_csprt(20+iam,a,head='% (A)')
|
||||
!
|
||||
! prepare the preconditioning matrix. note the availability
|
||||
! of optional parameters
|
||||
!
|
||||
|
||||
|
||||
do pp=1, nprecs
|
||||
|
||||
mttot=1.d300
|
||||
|
||||
do nt=1,ntry
|
||||
|
||||
if (precs(pp)%lv2(1:2) == 'ml') then
|
||||
if (precs(pp)%nlev < 2) then
|
||||
write(0,*) 'Inconsistent number of levels ',precs(pp)%nlev,&
|
||||
& ' forcing 2'
|
||||
precs(pp)%nlev = 2
|
||||
end if
|
||||
nlev = precs(pp)%nlev
|
||||
call mld_precinit(pre,precs(pp)%lv2,info,nlev=nlev)
|
||||
! Defaults are OK for all intermediate levels. Only fix last level.
|
||||
if (precs(pp)%omega>=0.0) then
|
||||
call mld_precset(pre,mld_aggr_damp_,precs(pp)%omega,info)
|
||||
end if
|
||||
call mld_precset(pre,mld_ml_type_, precs(pp)%mltype, info)
|
||||
call mld_precset(pre,mld_aggr_alg_, precs(pp)%aggr, info)
|
||||
call mld_precset(pre,mld_aggr_kind_, precs(pp)%smthkind, info)
|
||||
call mld_precset(pre,mld_smoother_pos_, precs(pp)%smthpos, info)
|
||||
call mld_precset(pre,mld_coarse_solve_, precs(pp)%cslv, info)
|
||||
call mld_precset(pre,mld_coarse_subsolve_, precs(pp)%ftype2, info)
|
||||
call mld_precset(pre,mld_coarse_fillin_, precs(pp)%fill2, info)
|
||||
call mld_precset(pre,mld_coarse_fthrs_, precs(pp)%thr2, info)
|
||||
call mld_precset(pre,mld_coarse_sweeps_, precs(pp)%jswp, info)
|
||||
call mld_precset(pre,mld_coarse_mat_, precs(pp)%cmat, info)
|
||||
else
|
||||
call mld_precinit(pre,precs(pp)%lv1,info)
|
||||
end if
|
||||
call mld_precset(pre,mld_sub_solve_, precs(pp)%ftype1, info)
|
||||
call mld_precset(pre,mld_sub_restr_, precs(pp)%restr, info)
|
||||
call mld_precset(pre,mld_sub_prol_, precs(pp)%prol, info)
|
||||
call mld_precset(pre,mld_sub_ovr_, precs(pp)%novr, info)
|
||||
call mld_precset(pre,mld_sub_fillin_, precs(pp)%fill1, info)
|
||||
call mld_precset(pre,mld_fact_thrs_, precs(pp)%thr1, info)
|
||||
|
||||
|
||||
! setting initial guess to zero
|
||||
call psb_geaxpby(zzero,b_col,zzero,x_col,desc_a,info)
|
||||
|
||||
! building the preconditioner
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
call mld_precbld(a,desc_a,pre,info)
|
||||
tprec = psb_wtime()-t1
|
||||
if (info /= 0) then
|
||||
write(0,*) 'INFO from precbld ',info
|
||||
call psb_error()
|
||||
goto 9999
|
||||
end if
|
||||
|
||||
|
||||
call psb_amx(ictxt,tprec)
|
||||
!!$ call psb_csprt(40+iam,a,head='% (A)')
|
||||
!!$ if (iam == psb_root_) then
|
||||
!!$ write(*,'("Matrix : ",a)') mtrx(nm)
|
||||
!!$ write(*,'("RHS : ",a)') rhs(nm)
|
||||
!!$ write(*,'("Method : ",a)') kmethd
|
||||
!!$ write(*,'("Preconditioner : ",a)') precs(pp)%descr
|
||||
!!$ call mld_precdescr(pre)
|
||||
!!$ end if
|
||||
iparm = 0
|
||||
call psb_barrier(ictxt)
|
||||
t1 = psb_wtime()
|
||||
call psb_krylov(kmethd,a,pre,b_col,x_col,eps,desc_a,info,&
|
||||
& itmax=itmax,iter=iter,err=err,itrace=itrace,&
|
||||
& irst=irst,istop=istopc)
|
||||
call psb_barrier(ictxt)
|
||||
t2 = psb_wtime() - t1
|
||||
call psb_amx(ictxt,t2)
|
||||
if (info/=0) then
|
||||
write(0,*) 'INFO from solver ',info
|
||||
call psb_errpush(4010,name,a_err='psb_SOLVER')
|
||||
goto 9999
|
||||
end if
|
||||
!!$ write(0,*) iam,'Done Solver'
|
||||
!!$ call flush(0)
|
||||
!!$ call flush(6)
|
||||
!!$ call psb_barrier(ictxt)
|
||||
if(iam == psb_root_.and.out2) &
|
||||
& write(10,'(a20,2(1x,i3),1x,i5,3(1x,g9.4),1x,a8,1x,a)') &
|
||||
& mtrx(nm),np,precs(pp)%novr,iter,tprec,t2,t2+tprec,&
|
||||
& trim(kmethd),trim(precs(pp)%descr)
|
||||
if(iam == psb_root_) &
|
||||
& write(0,'(a20,2(1x,i3),1x,i5,3(1x,g9.4),1x,a8,1x,a)') &
|
||||
& mtrx(nm),np,precs(pp)%novr,iter,tprec,t2,t2+tprec,&
|
||||
& trim(kmethd),trim(precs(pp)%descr)
|
||||
if (nt < ntry) call mld_precfree(pre,info)
|
||||
if((t2+tprec) < mttot) then
|
||||
mtslv=t2
|
||||
mtprec=tprec
|
||||
mttot=t2+tprec
|
||||
end if
|
||||
|
||||
end do
|
||||
!!$ call psb_csprt(50+iam,a,head='% (A)')
|
||||
|
||||
call psb_geaxpby(zone,b_col,zzero,r_col,desc_a,info)
|
||||
call psb_spmm(-zone,a,x_col,zone,r_col,desc_a,info)
|
||||
call psb_genrm2s(resmx,r_col,desc_a,info)
|
||||
call psb_geamaxs(resmxp,r_col,desc_a,info)
|
||||
|
||||
ipsize = mld_sizeof(pre)
|
||||
asize = psb_sizeof(a)
|
||||
cdsize = psb_sizeof(desc_a)
|
||||
call psb_sum(ictxt,ipsize)
|
||||
call psb_sum(ictxt,asize)
|
||||
call psb_sum(ictxt,cdsize)
|
||||
|
||||
if (iam == psb_root_) then
|
||||
write(*,'("Matrix : ",a)') mtrx(nm)
|
||||
write(*,'("RHS : ",a)') rhs(nm)
|
||||
write(*,'("Method : ",a)') kmethd
|
||||
write(*,'("Preconditioner : ",a)') precs(pp)%descr
|
||||
call mld_precdescr(pre)
|
||||
write(*,'("Computed solution on ",i4," processors")')np
|
||||
write(*,'(" ")')
|
||||
write(*,'("Iterations to convergence: ",i6)') iter
|
||||
write(*,'("Error indicator on exit : ",g9.4)') err
|
||||
write(*,'("Time to buil prec. : ",es10.4)')mtprec
|
||||
write(*,'("Time to solve matrix : ",es10.4)')mtslv
|
||||
write(*,'("Time per iteration : ",es10.4)')mtslv/(iter)
|
||||
write(*,'("Total time : ",es10.4)')mttot
|
||||
write(*,'("Residual norm 2 : ",es10.4)')resmx
|
||||
write(*,'("Residual norm inf : ",es10.4)')resmxp
|
||||
write(*,'("Total memory occupation for A: ",i10)')asize
|
||||
write(*,'("Total memory occupation for DESC_A: ",i10)')cdsize
|
||||
write(*,'("Total memory occupation for PRE: ",i10)')ipsize
|
||||
|
||||
write(*,'(72("="))')
|
||||
write(*,'(" ")')
|
||||
write(*,'(" ")')
|
||||
write(*,'(" ")')
|
||||
|
||||
if(out1) write(8,'(a20,2(1x,i3),1x,i5,5(1x,g9.4),1x,a8,1x,a)') mtrx(nm),&
|
||||
& np,precs(pp)%novr,&
|
||||
& iter,mtprec,mtslv,mttot,resmx,resmxp,&
|
||||
& trim(kmethd),trim(precs(pp)%descr)
|
||||
end if
|
||||
|
||||
call mld_precfree(pre,info)
|
||||
|
||||
end do
|
||||
|
||||
call psb_gefree(b_col, desc_a,info)
|
||||
call psb_gefree(x_col, desc_a,info)
|
||||
call psb_spfree(a, desc_a,info)
|
||||
call psb_cdfree(desc_a,info)
|
||||
deallocate(r_col,stat=info)
|
||||
deallocate(aux_b,stat=info)
|
||||
if (ipart==0) then
|
||||
deallocate(ivg,ipv,stat=info)
|
||||
endif
|
||||
end do
|
||||
|
||||
9999 continue
|
||||
if(info /= 0) then
|
||||
call psb_error(ictxt)
|
||||
end if
|
||||
call psb_exit(ictxt)
|
||||
stop
|
||||
|
||||
contains
|
||||
|
||||
!
|
||||
! get iteration parameters from standard input
|
||||
!
|
||||
subroutine get_parms(icontxt,irst,irnum,ntry,nmat,mtrx,rhs,kmethd,nprecs,precs,ipart,&
|
||||
& afmt,istopc,itmax,itrace,eps,outf1,outf2)
|
||||
|
||||
use psb_base_mod
|
||||
implicit none
|
||||
|
||||
integer :: icontxt
|
||||
character(len=20) :: kmethd
|
||||
character(len=80) :: outf1, outf2
|
||||
character(len=20),allocatable :: mtrx(:), rhs(:)
|
||||
type(precdata),allocatable :: precs(:)
|
||||
integer :: iret, istopc,itmax,itrace,ipart,nmat,nprecs,irst,irnum,ntry
|
||||
character(len=1024) :: charbuf
|
||||
real(psb_dpk_) :: eps, omega,thr1,thr2
|
||||
character :: afmt*5, lv1*10, lv2*10, pdescr*40
|
||||
integer :: iam, nm, np, i, idx
|
||||
integer, parameter :: npparms=15
|
||||
integer :: inparms(40), ip, pparms(npparms)
|
||||
|
||||
call psb_info(icontxt,iam,np)
|
||||
|
||||
if (iam==psb_root_) then
|
||||
! read input parameters
|
||||
read(*,*) outf1
|
||||
read(*,*) outf2
|
||||
read(*,*) kmethd
|
||||
read(*,*) eps
|
||||
read(*,*) afmt
|
||||
|
||||
call psb_bcast(icontxt,kmethd)
|
||||
call psb_bcast(icontxt,eps,0)
|
||||
|
||||
call psb_bcast(icontxt,afmt)
|
||||
|
||||
read(*,*) ipart
|
||||
read(*,*) itmax
|
||||
read(*,*) itrace
|
||||
read(*,*) istopc
|
||||
read(*,*) irst
|
||||
read(*,*) irnum
|
||||
read(*,*) ntry
|
||||
read(*,*) nprecs
|
||||
! broadcast parameters to all processors
|
||||
|
||||
inparms(1) = ipart
|
||||
inparms(2) = itmax
|
||||
inparms(3) = itrace
|
||||
inparms(4) = istopc
|
||||
inparms(5) = irst
|
||||
inparms(6) = irnum
|
||||
inparms(7) = ntry
|
||||
call psb_bcast(icontxt,inparms(1:7))
|
||||
|
||||
call psb_bcast(icontxt,nprecs)
|
||||
|
||||
allocate(precs(nprecs))
|
||||
|
||||
do np=1,nprecs
|
||||
read(*,'(a)')charbuf
|
||||
charbuf = adjustl(charbuf)
|
||||
idx=index(charbuf," ")
|
||||
read(charbuf(1:idx-1),'(a)')lv1
|
||||
charbuf=adjustl(charbuf(idx:))
|
||||
idx=index(charbuf," ")
|
||||
read(charbuf(1:idx-1),'(a)')lv2
|
||||
charbuf=adjustl(charbuf(idx:))
|
||||
do i=1, npparms
|
||||
idx=index(charbuf," ")
|
||||
read(charbuf(1:idx),*) pparms(i)
|
||||
charbuf=adjustl(charbuf(idx:))
|
||||
end do
|
||||
idx=index(charbuf," ")
|
||||
read(charbuf(1:idx),*) omega
|
||||
charbuf=adjustl(charbuf(idx:))
|
||||
idx=index(charbuf," ")
|
||||
read(charbuf(1:idx),*) thr1
|
||||
charbuf=adjustl(charbuf(idx:))
|
||||
idx=index(charbuf," ")
|
||||
read(charbuf(1:idx),*) thr2
|
||||
charbuf=adjustl(charbuf(idx:))
|
||||
read(charbuf,'(a)') pdescr
|
||||
|
||||
call psb_bcast(icontxt,pdescr)
|
||||
precs(np)%descr=pdescr
|
||||
|
||||
call psb_bcast(icontxt,lv1)
|
||||
call psb_bcast(icontxt,lv2)
|
||||
call psb_bcast(icontxt,pparms(1:npparms))
|
||||
call psb_bcast(icontxt,omega)
|
||||
call psb_bcast(icontxt,thr1)
|
||||
call psb_bcast(icontxt,thr2)
|
||||
|
||||
precs(np)%lv1 = lv1
|
||||
precs(np)%lv2 = lv2
|
||||
precs(np)%novr = pparms(1)
|
||||
precs(np)%restr = pparms(2)
|
||||
precs(np)%prol = pparms(3)
|
||||
precs(np)%ftype1 = pparms(4)
|
||||
precs(np)%fill1 = pparms(5)
|
||||
precs(np)%mltype = pparms(6)
|
||||
precs(np)%aggr = pparms(7)
|
||||
precs(np)%smthkind = pparms(8)
|
||||
precs(np)%cmat = pparms(9)
|
||||
precs(np)%smthpos = pparms(10)
|
||||
precs(np)%cslv = pparms(11)
|
||||
precs(np)%ftype2 = pparms(12)
|
||||
precs(np)%fill2 = pparms(13)
|
||||
precs(np)%jswp = pparms(14)
|
||||
precs(np)%nlev = pparms(15)
|
||||
precs(np)%omega = omega
|
||||
precs(np)%thr1 = thr1
|
||||
precs(np)%thr2 = thr2
|
||||
end do
|
||||
|
||||
read(*,*) nmat
|
||||
call psb_bcast(icontxt,nmat)
|
||||
allocate(mtrx(nmat),rhs(nmat))
|
||||
|
||||
do nm=1, nmat
|
||||
read(*,'(a)') charbuf
|
||||
charbuf=adjustl(charbuf)
|
||||
idx=index(charbuf," ")
|
||||
mtrx(nm)=charbuf(1:idx-1)
|
||||
rhs(nm)=adjustl(charbuf(idx+1:))
|
||||
call psb_bcast(icontxt,mtrx(nm))
|
||||
call psb_bcast(icontxt,rhs(nm))
|
||||
end do
|
||||
|
||||
else
|
||||
! receive parameters
|
||||
call psb_bcast(icontxt,kmethd)
|
||||
call psb_bcast(icontxt,eps)
|
||||
|
||||
call psb_bcast(icontxt,afmt)
|
||||
|
||||
call psb_bcast(icontxt,inparms(1:7))
|
||||
|
||||
ipart = inparms(1)
|
||||
itmax = inparms(2)
|
||||
itrace = inparms(3)
|
||||
istopc = inparms(4)
|
||||
irst = inparms(5)
|
||||
irnum = inparms(6)
|
||||
ntry = inparms(7)
|
||||
|
||||
call psb_bcast(icontxt,nprecs)
|
||||
allocate(precs(nprecs))
|
||||
|
||||
do np=1,nprecs
|
||||
call psb_bcast(icontxt,pdescr)
|
||||
precs(np)%descr=pdescr
|
||||
|
||||
call psb_bcast(icontxt,lv1)
|
||||
|
||||
call psb_bcast(icontxt,lv2)
|
||||
|
||||
call psb_bcast(icontxt,pparms(1:npparms))
|
||||
call psb_bcast(icontxt,omega)
|
||||
call psb_bcast(icontxt,thr1)
|
||||
call psb_bcast(icontxt,thr2)
|
||||
|
||||
precs(np)%lv1 = lv1
|
||||
precs(np)%lv2 = lv2
|
||||
precs(np)%novr = pparms(1)
|
||||
precs(np)%restr = pparms(2)
|
||||
precs(np)%prol = pparms(3)
|
||||
precs(np)%ftype1 = pparms(4)
|
||||
precs(np)%fill1 = pparms(5)
|
||||
precs(np)%mltype = pparms(6)
|
||||
precs(np)%aggr = pparms(7)
|
||||
precs(np)%smthkind = pparms(8)
|
||||
precs(np)%cmat = pparms(9)
|
||||
precs(np)%smthpos = pparms(10)
|
||||
precs(np)%cslv = pparms(11)
|
||||
precs(np)%ftype2 = pparms(12)
|
||||
precs(np)%fill2 = pparms(13)
|
||||
precs(np)%jswp = pparms(14)
|
||||
precs(np)%nlev = pparms(15)
|
||||
precs(np)%omega = omega
|
||||
precs(np)%thr1 = thr1
|
||||
precs(np)%thr2 = thr2
|
||||
end do
|
||||
|
||||
|
||||
call psb_bcast(icontxt,nmat)
|
||||
allocate(mtrx(nmat),rhs(nmat))
|
||||
|
||||
do nm=1,nmat
|
||||
|
||||
call psb_bcast(icontxt,mtrx(nm))
|
||||
call psb_bcast(icontxt,rhs(nm))
|
||||
|
||||
end do
|
||||
|
||||
end if
|
||||
|
||||
end subroutine get_parms
|
||||
subroutine pr_usage(iout)
|
||||
integer iout
|
||||
write(iout, *) ' number of parameters is incorrect!'
|
||||
write(iout, *) ' use: hb_sample mtrx_file methd prec [ptype &
|
||||
&itmax istopc itrace]'
|
||||
write(iout, *) ' where:'
|
||||
write(iout, *) ' mtrx_file is stored in hb format'
|
||||
write(iout, *) ' methd may be: cgstab '
|
||||
write(iout, *) ' itmax max iterations [500] '
|
||||
write(iout, *) ' istopc stopping criterion [1] '
|
||||
write(iout, *) ' itrace 0 (no tracing, default) or '
|
||||
write(iout, *) ' >= 0 do tracing every itrace'
|
||||
write(iout, *) ' iterations '
|
||||
write(iout, *) ' prec may be: ilu diagsc none'
|
||||
write(iout, *) ' ptype partition strategy default 0'
|
||||
write(iout, *) ' 0: block partition '
|
||||
end subroutine pr_usage
|
||||
|
||||
|
||||
end program zf_bench
|
||||
|
||||
|
||||
|
||||
|
||||
|
Loading…
Reference in New Issue