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psblas3/test/pargen/psb_s_pde2d.f90

366 lines
11 KiB
Fortran

!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006, 2010, 2015, 2017
! Salvatore Filippone Cranfield University
! Alfredo Buttari CNRS-IRIT, Toulouse
!
! 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 PSBLAS 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 PSBLAS 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: psb_s_pde2d.f90
!
! Program: psb_s_pde2d
! This sample program solves a linear system obtained by discretizing a
! PDE with Dirichlet BCs.
!
!
! The PDE is a general second order equation in 2d
!
! a1 dd(u) a2 dd(u) b1 d(u) b2 d(u)
! - ------ - ------ ----- + ------ + c u = f
! dxdx dydy dx dy
!
! with Dirichlet boundary conditions
! u = g
!
! on the unit square 0<=x,y<=1.
!
!
! Note that if b1=b2=c=0., the PDE is the Laplace equation.
!
! 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 psb_s_pde2d_mod
contains
!
! functions parametrizing the differential equation
!
function b1(x,y)
use psb_base_mod, only : psb_spk_
real(psb_spk_) :: b1
real(psb_spk_), intent(in) :: x,y
b1=1.e0/sqrt(2.e0)
end function b1
function b2(x,y)
use psb_base_mod, only : psb_spk_
real(psb_spk_) :: b2
real(psb_spk_), intent(in) :: x,y
b2=1.e0/sqrt(2.e0)
end function b2
function c(x,y)
use psb_base_mod, only : psb_spk_
real(psb_spk_) :: c
real(psb_spk_), intent(in) :: x,y
c=0.e0
end function c
function a1(x,y)
use psb_base_mod, only : psb_spk_
real(psb_spk_) :: a1
real(psb_spk_), intent(in) :: x,y
a1=1.e0/80
end function a1
function a2(x,y)
use psb_base_mod, only : psb_spk_
real(psb_spk_) :: a2
real(psb_spk_), intent(in) :: x,y
a2=1.e0/80
end function a2
function g(x,y)
use psb_base_mod, only : psb_spk_, sone, szero
real(psb_spk_) :: g
real(psb_spk_), intent(in) :: x,y
g = szero
if (x == sone) then
g = sone
else if (x == szero) then
g = exp(-y**2)
end if
end function g
end module psb_s_pde2d_mod
program psb_s_pde2d
use psb_base_mod
use psb_prec_mod
use psb_krylov_mod
use psb_util_mod
use psb_s_pde2d_mod
implicit none
! input parameters
character(len=20) :: kmethd, ptype
character(len=5) :: afmt
integer(psb_ipk_) :: idim
! miscellaneous
real(psb_spk_), parameter :: one = 1.e0
real(psb_dpk_) :: t1, t2, tprec
! sparse matrix and preconditioner
type(psb_sspmat_type) :: a
type(psb_sprec_type) :: prec
! descriptor
type(psb_desc_type) :: desc_a
! dense vectors
type(psb_s_vect_type) :: xxv,bv
! parallel environment
integer(psb_ipk_) :: ictxt, iam, np
! solver parameters
integer(psb_ipk_) :: iter, itmax,itrace, istopc, irst
integer(psb_long_int_k_) :: amatsize, precsize, descsize, d2size
real(psb_spk_) :: err, eps
! other variables
integer(psb_ipk_) :: info, i
character(len=20) :: name,ch_err
character(len=40) :: fname
info=psb_success_
call psb_init(ictxt)
call psb_info(ictxt,iam,np)
if (iam < 0) then
! This should not happen, but just in case
call psb_exit(ictxt)
stop
endif
if(psb_get_errstatus() /= 0) goto 9999
name='pde2d90'
call psb_set_errverbosity(itwo)
!
! Hello world
!
if (iam == psb_root_) then
write(*,*) 'Welcome to PSBLAS version: ',psb_version_string_
write(*,*) 'This is the ',trim(name),' sample program'
end if
!
! get parameters
!
call get_parms(ictxt,kmethd,ptype,afmt,idim,istopc,itmax,itrace,irst)
!
! allocate and fill in the coefficient matrix, rhs and initial guess
!
call psb_barrier(ictxt)
t1 = psb_wtime()
call psb_gen_pde2d(ictxt,idim,a,bv,xxv,desc_a,afmt,a1,a2,b1,b2,c,g,info)
call psb_barrier(ictxt)
t2 = psb_wtime() - t1
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='psb_gen_pde2d'
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.
!
if(iam == psb_root_) write(psb_out_unit,'("Setting preconditioner to : ",a)')ptype
call prec%init(ptype,info)
call psb_barrier(ictxt)
t1 = psb_wtime()
call prec%build(a,desc_a,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='psb_precbld'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
tprec = psb_wtime()-t1
call psb_amx(ictxt,tprec)
if (iam == psb_root_) write(psb_out_unit,'("Preconditioner time : ",es12.5)')tprec
if (iam == psb_root_) write(psb_out_unit,'(" ")')
call prec%descr()
!
! iterative method parameters
!
if(iam == psb_root_) write(psb_out_unit,'("Calling iterative method ",a)')kmethd
call psb_barrier(ictxt)
t1 = psb_wtime()
eps = 1.d-9
call psb_krylov(kmethd,a,prec,bv,xxv,eps,desc_a,info,&
& itmax=itmax,iter=iter,err=err,itrace=itrace,istop=istopc,irst=irst)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='solver routine'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call psb_barrier(ictxt)
t2 = psb_wtime() - t1
call psb_amx(ictxt,t2)
amatsize = a%sizeof()
descsize = desc_a%sizeof()
precsize = prec%sizeof()
call psb_sum(ictxt,amatsize)
call psb_sum(ictxt,descsize)
call psb_sum(ictxt,precsize)
if (iam == psb_root_) then
write(psb_out_unit,'(" ")')
write(psb_out_unit,'("Time to solve system : ",es12.5)')t2
write(psb_out_unit,'("Time per iteration : ",es12.5)')t2/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,'("Total memory occupation for PREC: ",i12)')precsize
write(psb_out_unit,'("Total memory occupation for DESC_A: ",i12)')descsize
write(psb_out_unit,'("Storage type for DESC_A: ",a)') desc_a%get_fmt()
end if
!
! cleanup storage and exit
!
call psb_gefree(bv,desc_a,info)
call psb_gefree(xxv,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(ictxt)
stop
9999 call psb_error(ictxt)
stop
contains
!
! get iteration parameters from standard input
!
subroutine get_parms(ictxt,kmethd,ptype,afmt,idim,istopc,itmax,itrace,irst)
integer(psb_ipk_) :: ictxt
character(len=*) :: kmethd, ptype, afmt
integer(psb_ipk_) :: idim, istopc,itmax,itrace,irst
integer(psb_ipk_) :: np, iam
integer(psb_ipk_) :: ip
call psb_info(ictxt, iam, np)
if (iam == 0) then
read(psb_inp_unit,*) ip
if (ip >= 3) then
read(psb_inp_unit,*) kmethd
read(psb_inp_unit,*) ptype
read(psb_inp_unit,*) afmt
read(psb_inp_unit,*) idim
if (ip >= 4) then
read(psb_inp_unit,*) istopc
else
istopc=1
endif
if (ip >= 5) then
read(psb_inp_unit,*) itmax
else
itmax=500
endif
if (ip >= 6) then
read(psb_inp_unit,*) itrace
else
itrace=-1
endif
if (ip >= 7) then
read(psb_inp_unit,*) irst
else
irst=1
endif
write(psb_out_unit,'("Solving matrix : ell1")')
write(psb_out_unit,'("Grid dimensions : ",i5," x ",i5)')idim,idim
write(psb_out_unit,'("Number of processors : ",i0)')np
write(psb_out_unit,'("Data distribution : BLOCK")')
write(psb_out_unit,'("Preconditioner : ",a)') ptype
write(psb_out_unit,'("Iterative method : ",a)') kmethd
write(psb_out_unit,'(" ")')
else
! wrong number of parameter, print an error message and exit
call pr_usage(izero)
call psb_abort(ictxt)
stop 1
endif
end if
! broadcast parameters to all processors
call psb_bcast(ictxt,kmethd)
call psb_bcast(ictxt,afmt)
call psb_bcast(ictxt,ptype)
call psb_bcast(ictxt,idim)
call psb_bcast(ictxt,istopc)
call psb_bcast(ictxt,itmax)
call psb_bcast(ictxt,itrace)
call psb_bcast(ictxt,irst)
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: pde2d90 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 psb_s_pde2d