You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
386 lines
12 KiB
Fortran
386 lines
12 KiB
Fortran
!
|
|
!
|
|
! MLD2P4 version 2.2
|
|
! MultiLevel Domain Decomposition Parallel Preconditioners Package
|
|
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
|
!
|
|
! (C) Copyright 2008-2018
|
|
!
|
|
! Salvatore Filippone
|
|
! Pasqua D'Ambra
|
|
! Daniela di Serafino
|
|
!
|
|
! 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_d_pde3d.f90
|
|
!
|
|
! Program: mld_d_pde3d
|
|
! This sample program solves a linear system obtained by discretizing a
|
|
! PDE with Dirichlet BCs.
|
|
!
|
|
!
|
|
! The PDE is a general second order equation in 3d
|
|
!
|
|
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
|
|
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
|
|
! dxdx dydy dzdz dx dy dz
|
|
!
|
|
! with Dirichlet boundary conditions
|
|
! u = g
|
|
!
|
|
! on the unit cube 0<=x,y,z<=1.
|
|
!
|
|
!
|
|
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
|
|
!
|
|
! 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.
|
|
!
|
|
module mld_d_pde3d_mod
|
|
contains
|
|
!
|
|
! functions parametrizing the differential equation
|
|
!
|
|
function b1(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_,done,dzero
|
|
real(psb_dpk_) :: b1
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
b1=dzero/sqrt((3*done))
|
|
end function b1
|
|
function b2(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_,done,dzero
|
|
real(psb_dpk_) :: b2
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
b2=dzero/sqrt((3*done))
|
|
end function b2
|
|
function b3(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_,done,dzero
|
|
real(psb_dpk_) :: b3
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
b3=dzero/sqrt((3*done))
|
|
end function b3
|
|
function c(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_,done,dzero
|
|
real(psb_dpk_) :: c
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
c=dzero
|
|
end function c
|
|
function a1(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_,done,dzero
|
|
real(psb_dpk_) :: a1
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
a1=done!/80
|
|
end function a1
|
|
function a2(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_,done,dzero
|
|
real(psb_dpk_) :: a2
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
a2=done!/80
|
|
end function a2
|
|
function a3(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_,done,dzero
|
|
real(psb_dpk_) :: a3
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
a3=done!/80
|
|
end function a3
|
|
function g(x,y,z)
|
|
use psb_base_mod, only : psb_dpk_,done,dzero
|
|
real(psb_dpk_) :: g
|
|
real(psb_dpk_), intent(in) :: x,y,z
|
|
g = dzero
|
|
if (x == done) then
|
|
g = done
|
|
else if (x == dzero) then
|
|
g = exp(y**2-z**2)
|
|
end if
|
|
end function g
|
|
end module mld_d_pde3d_mod
|
|
|
|
program mld_d_pde3d
|
|
use psb_base_mod
|
|
use mld_prec_mod
|
|
use psb_krylov_mod
|
|
use psb_util_mod
|
|
use data_input
|
|
use mld_d_pde3d_mod
|
|
use mld_d_tlu_solver
|
|
implicit none
|
|
|
|
! input parameters
|
|
character(len=20) :: kmethd, ptype
|
|
character(len=5) :: afmt
|
|
integer(psb_ipk_) :: idim
|
|
|
|
! miscellaneous
|
|
real(psb_dpk_) :: t1, t2, tprec, thier, tslv
|
|
|
|
! sparse matrix and preconditioner
|
|
type(psb_dspmat_type) :: a
|
|
type(mld_dprec_type) :: prec
|
|
type(mld_d_tlu_solver_type) :: tlusv
|
|
! descriptor
|
|
type(psb_desc_type) :: desc_a
|
|
! dense vectors
|
|
type(psb_d_vect_type) :: x,b
|
|
! parallel environment
|
|
integer(psb_ipk_) :: ctxt, iam, np
|
|
|
|
! solver parameters
|
|
integer(psb_ipk_) :: iter, itmax,itrace, istopc, irst, nlv
|
|
integer(psb_epk_) :: amatsize, precsize, descsize
|
|
real(psb_dpk_) :: err, eps
|
|
|
|
! other variables
|
|
integer(psb_ipk_) :: info, i
|
|
character(len=20) :: name,ch_err
|
|
|
|
info=psb_success_
|
|
|
|
|
|
call psb_init(ctxt)
|
|
call psb_info(ctxt,iam,np)
|
|
|
|
if (iam < 0) then
|
|
! This should not happen, but just in case
|
|
call psb_exit(ctxt)
|
|
stop
|
|
endif
|
|
if(psb_get_errstatus() /= 0) goto 9999
|
|
name='mld_d_pde3d'
|
|
call psb_set_errverbosity(itwo)
|
|
!
|
|
! Hello world
|
|
!
|
|
if (iam == psb_root_) then
|
|
write(*,*) 'Welcome to MLD2P4 version: ',mld_version_string_
|
|
write(*,*) 'This is the ',trim(name),' sample program'
|
|
end if
|
|
|
|
!
|
|
! get parameters
|
|
!
|
|
call get_parms(ctxt,kmethd,afmt,idim,istopc,itmax,itrace,irst,eps)
|
|
|
|
!
|
|
! allocate and fill in the coefficient matrix, rhs and initial guess
|
|
!
|
|
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call psb_gen_pde3d(ctxt,idim,a,b,x,desc_a,afmt,&
|
|
& a1,a2,a3,b1,b2,b3,c,g,info)
|
|
call psb_barrier(ctxt)
|
|
t2 = psb_wtime() - t1
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='create_matrix'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
if (iam == psb_root_) &
|
|
& write(psb_out_unit,'("Overall matrix creation time : ",es12.5)')t2
|
|
if (iam == psb_root_) &
|
|
& write(psb_out_unit,'(" ")')
|
|
!
|
|
! prepare the preconditioner: an ML with defaults, but with TLU solver at
|
|
! intermediate levels. All other parameters are at default values.
|
|
!
|
|
call prec%init('ML', info)
|
|
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call prec%hierarchy_build(a,desc_a,info)
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='prec%hierarchy_bld'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
thier = psb_wtime()-t1
|
|
nlv = prec%get_nlevs()
|
|
call prec%set(tlusv, info,ilev=1,ilmax=max(1,nlv-1))
|
|
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call prec%smoothers_build(a,desc_a,info)
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='prec%smoothers_build'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
tprec = psb_wtime()-t1
|
|
|
|
call psb_amx(ctxt,thier)
|
|
call psb_amx(ctxt,tprec)
|
|
|
|
if (iam == psb_root_) &
|
|
& write(psb_out_unit,'("Preconditioner time : ",es12.5)') tprec+thier
|
|
if (iam == psb_root_) call prec%descr(info)
|
|
if (iam == psb_root_) &
|
|
& write(psb_out_unit,'(" ")')
|
|
|
|
!
|
|
! iterative method parameters
|
|
!
|
|
if(iam == psb_root_) &
|
|
& write(psb_out_unit,'("Calling iterative method ",a)')kmethd
|
|
call psb_barrier(ctxt)
|
|
t1 = psb_wtime()
|
|
call psb_krylov(kmethd,a,prec,b,x,eps,desc_a,info,&
|
|
& itmax=itmax,iter=iter,err=err,itrace=itrace,istop=istopc,irst=irst)
|
|
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='solver routine'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_barrier(ctxt)
|
|
tslv = psb_wtime() - t1
|
|
call psb_amx(ctxt,tslv)
|
|
|
|
amatsize = a%sizeof()
|
|
descsize = desc_a%sizeof()
|
|
precsize = prec%sizeof()
|
|
call psb_sum(ctxt,amatsize)
|
|
call psb_sum(ctxt,descsize)
|
|
call psb_sum(ctxt,precsize)
|
|
if (iam == psb_root_) then
|
|
write(psb_out_unit,'(" ")')
|
|
write(psb_out_unit,'("Numer of levels of aggr. hierarchy: ",i12)') prec%get_nlevs()
|
|
write(psb_out_unit,'("Time to build aggr. hierarchy : ",es12.5)') thier
|
|
write(psb_out_unit,'("Time to build smoothers : ",es12.5)') tprec
|
|
write(psb_out_unit,'("Total preconditioner time : ",es12.5)') tprec+thier
|
|
write(psb_out_unit,'("Time to solve system : ",es12.5)') tslv
|
|
write(psb_out_unit,'("Time per iteration : ",es12.5)') tslv/iter
|
|
write(psb_out_unit,'("Number of iterations : ",i0)') iter
|
|
write(psb_out_unit,'("Convergence indicator on exit : ",es12.5)') err
|
|
write(psb_out_unit,'("Info on exit : ",i0)') info
|
|
write(psb_out_unit,'("Total memory occupation for A: ",i12)') amatsize
|
|
write(psb_out_unit,'("Storage format for A: ",a)') trim(a%get_fmt())
|
|
write(psb_out_unit,'("Total memory occupation for DESC_A: ",i12)') descsize
|
|
write(psb_out_unit,'("Storage format for DESC_A: ",a)') trim(desc_a%get_fmt())
|
|
write(psb_out_unit,'("Total memory occupation for PREC: ",i12)') precsize
|
|
end if
|
|
|
|
!
|
|
! cleanup storage and exit
|
|
!
|
|
call psb_gefree(b,desc_a,info)
|
|
call psb_gefree(x,desc_a,info)
|
|
call psb_spfree(a,desc_a,info)
|
|
call prec%free(info)
|
|
call psb_cdfree(desc_a,info)
|
|
if(info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='free routine'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
call psb_exit(ctxt)
|
|
stop
|
|
|
|
9999 continue
|
|
call psb_error(ctxt)
|
|
|
|
contains
|
|
!
|
|
! get iteration parameters from standard input
|
|
!
|
|
subroutine get_parms(ctxt,kmethd,afmt,idim,istopc,itmax,itrace,irst,eps)
|
|
|
|
integer(psb_ipk_) :: ctxt
|
|
character(len=*) :: kmethd, afmt
|
|
integer(psb_ipk_) :: idim, istopc,itmax,itrace,irst
|
|
integer(psb_ipk_) :: np, iam, info
|
|
real(psb_dpk_) :: eps
|
|
character(len=20) :: buffer
|
|
|
|
call psb_info(ctxt, iam, np)
|
|
|
|
if (iam == psb_root_) then
|
|
call read_data(kmethd,psb_inp_unit)
|
|
call read_data(afmt,psb_inp_unit)
|
|
call read_data(idim,psb_inp_unit)
|
|
call read_data(istopc,psb_inp_unit)
|
|
call read_data(itmax,psb_inp_unit)
|
|
call read_data(itrace,psb_inp_unit)
|
|
call read_data(irst,psb_inp_unit)
|
|
call read_data(eps,psb_inp_unit)
|
|
end if
|
|
|
|
! broadcast parameters to all processors
|
|
call psb_bcast(ctxt,kmethd)
|
|
call psb_bcast(ctxt,afmt)
|
|
call psb_bcast(ctxt,idim)
|
|
call psb_bcast(ctxt,istopc)
|
|
call psb_bcast(ctxt,itmax)
|
|
call psb_bcast(ctxt,itrace)
|
|
call psb_bcast(ctxt,irst)
|
|
call psb_bcast(ctxt,eps)
|
|
|
|
if (iam == psb_root_) then
|
|
write(psb_out_unit,'("Solving matrix : ell1")')
|
|
write(psb_out_unit,'("Grid dimensions : ",i4,"x",i4,"x",i4)')idim,idim,idim
|
|
write(psb_out_unit,'("Number of processors : ",i0)') np
|
|
write(psb_out_unit,'("Data distribution : BLOCK")')
|
|
write(psb_out_unit,'("Preconditioner : ",a)') 'ML-TLU'
|
|
write(psb_out_unit,'("Iterative method : ",a)') kmethd
|
|
write(psb_out_unit,'(" ")')
|
|
endif
|
|
|
|
return
|
|
|
|
end subroutine get_parms
|
|
!
|
|
! print an error message
|
|
!
|
|
subroutine pr_usage(iout)
|
|
integer(psb_ipk_) :: iout
|
|
write(iout,*)'incorrect parameter(s) found'
|
|
write(iout,*)' usage: mld_d_pde3d methd prec dim &
|
|
&[istop itmax itrace]'
|
|
write(iout,*)' where:'
|
|
write(iout,*)' methd: cgstab cgs rgmres bicgstabl'
|
|
write(iout,*)' prec : bjac diag none'
|
|
write(iout,*)' dim number of points along each axis'
|
|
write(iout,*)' the size of the resulting linear '
|
|
write(iout,*)' system is dim**3'
|
|
write(iout,*)' istop stopping criterion 1, 2 '
|
|
write(iout,*)' itmax maximum number of iterations [500] '
|
|
write(iout,*)' itrace <=0 (no tracing, default) or '
|
|
write(iout,*)' >= 1 do tracing every itrace'
|
|
write(iout,*)' iterations '
|
|
end subroutine pr_usage
|
|
|
|
end program mld_d_pde3d
|