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366 lines
11 KiB
Fortran
366 lines
11 KiB
Fortran
!
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! Parallel Sparse BLAS version 3.5
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! (C) Copyright 2006, 2010, 2015, 2017
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! Salvatore Filippone Cranfield University
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! Alfredo Buttari CNRS-IRIT, Toulouse
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!
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! Redistribution and use in source and binary forms, with or without
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! modification, are permitted provided that the following conditions
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! are met:
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! 1. Redistributions of source code must retain the above copyright
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! notice, this list of conditions and the following disclaimer.
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! 2. Redistributions in binary form must reproduce the above copyright
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! notice, this list of conditions, and the following disclaimer in the
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! documentation and/or other materials provided with the distribution.
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! 3. The name of the PSBLAS group or the names of its contributors may
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! not be used to endorse or promote products derived from this
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! software without specific written permission.
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!
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! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
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! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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! POSSIBILITY OF SUCH DAMAGE.
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!
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!
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! File: psb_s_pde2d.f90
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!
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! Program: psb_s_pde2d
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! This sample program solves a linear system obtained by discretizing a
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! PDE with Dirichlet BCs.
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!
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!
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! The PDE is a general second order equation in 2d
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!
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! a1 dd(u) a2 dd(u) b1 d(u) b2 d(u)
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! - ------ - ------ ----- + ------ + c u = f
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! dxdx dydy dx dy
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!
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! with Dirichlet boundary conditions
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! u = g
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!
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! on the unit square 0<=x,y<=1.
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!
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!
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! Note that if b1=b2=c=0., the PDE is the Laplace equation.
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!
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! In this sample program the index space of the discretized
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! computational domain is first numbered sequentially in a standard way,
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! then the corresponding vector is distributed according to a BLOCK
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! data distribution.
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!
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module psb_s_pde2d_mod
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contains
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!
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! functions parametrizing the differential equation
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!
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function b1(x,y)
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use psb_base_mod, only : psb_spk_
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real(psb_spk_) :: b1
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real(psb_spk_), intent(in) :: x,y
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b1=1.e0/sqrt(2.e0)
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end function b1
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function b2(x,y)
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use psb_base_mod, only : psb_spk_
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real(psb_spk_) :: b2
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real(psb_spk_), intent(in) :: x,y
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b2=1.e0/sqrt(2.e0)
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end function b2
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function c(x,y)
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use psb_base_mod, only : psb_spk_
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real(psb_spk_) :: c
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real(psb_spk_), intent(in) :: x,y
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c=0.e0
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end function c
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function a1(x,y)
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use psb_base_mod, only : psb_spk_
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real(psb_spk_) :: a1
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real(psb_spk_), intent(in) :: x,y
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a1=1.e0/80
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end function a1
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function a2(x,y)
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use psb_base_mod, only : psb_spk_
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real(psb_spk_) :: a2
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real(psb_spk_), intent(in) :: x,y
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a2=1.e0/80
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end function a2
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function g(x,y)
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use psb_base_mod, only : psb_spk_, sone, szero
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real(psb_spk_) :: g
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real(psb_spk_), intent(in) :: x,y
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g = szero
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if (x == sone) then
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g = sone
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else if (x == szero) then
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g = exp(-y**2)
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end if
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end function g
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end module psb_s_pde2d_mod
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program psb_s_pde2d
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use psb_base_mod
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use psb_prec_mod
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use psb_krylov_mod
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use psb_util_mod
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use psb_s_pde2d_mod
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implicit none
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! input parameters
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character(len=20) :: kmethd, ptype
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character(len=5) :: afmt
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integer(psb_ipk_) :: idim
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! miscellaneous
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real(psb_spk_), parameter :: one = 1.e0
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real(psb_dpk_) :: t1, t2, tprec
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! sparse matrix and preconditioner
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type(psb_sspmat_type) :: a
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type(psb_sprec_type) :: prec
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! descriptor
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type(psb_desc_type) :: desc_a
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! dense vectors
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type(psb_s_vect_type) :: xxv,bv
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! parallel environment
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integer(psb_ipk_) :: ictxt, iam, np
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! solver parameters
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integer(psb_ipk_) :: iter, itmax,itrace, istopc, irst
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integer(psb_long_int_k_) :: amatsize, precsize, descsize, d2size
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real(psb_spk_) :: err, eps
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! other variables
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integer(psb_ipk_) :: info, i
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character(len=20) :: name,ch_err
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character(len=40) :: fname
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info=psb_success_
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call psb_init(ictxt)
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call psb_info(ictxt,iam,np)
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if (iam < 0) then
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! This should not happen, but just in case
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call psb_exit(ictxt)
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stop
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endif
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if(psb_get_errstatus() /= 0) goto 9999
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name='pde2d90'
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call psb_set_errverbosity(itwo)
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!
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! Hello world
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!
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if (iam == psb_root_) then
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write(*,*) 'Welcome to PSBLAS version: ',psb_version_string_
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write(*,*) 'This is the ',trim(name),' sample program'
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end if
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!
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! get parameters
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!
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call get_parms(ictxt,kmethd,ptype,afmt,idim,istopc,itmax,itrace,irst)
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!
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! allocate and fill in the coefficient matrix, rhs and initial guess
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!
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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call psb_gen_pde2d(ictxt,idim,a,bv,xxv,desc_a,afmt,a1,a2,b1,b2,c,g,info)
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call psb_barrier(ictxt)
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t2 = psb_wtime() - t1
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='psb_gen_pde2d'
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call psb_errpush(info,name,a_err=ch_err)
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goto 9999
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end if
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if (iam == psb_root_) write(psb_out_unit,'("Overall matrix creation time : ",es12.5)')t2
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if (iam == psb_root_) write(psb_out_unit,'(" ")')
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!
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! prepare the preconditioner.
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!
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if(iam == psb_root_) write(psb_out_unit,'("Setting preconditioner to : ",a)')ptype
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call prec%init(ptype,info)
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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call prec%build(a,desc_a,info)
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='psb_precbld'
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call psb_errpush(info,name,a_err=ch_err)
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goto 9999
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end if
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tprec = psb_wtime()-t1
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call psb_amx(ictxt,tprec)
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if (iam == psb_root_) write(psb_out_unit,'("Preconditioner time : ",es12.5)')tprec
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if (iam == psb_root_) write(psb_out_unit,'(" ")')
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call prec%descr()
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!
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! iterative method parameters
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!
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if(iam == psb_root_) write(psb_out_unit,'("Calling iterative method ",a)')kmethd
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call psb_barrier(ictxt)
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t1 = psb_wtime()
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eps = 1.d-9
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call psb_krylov(kmethd,a,prec,bv,xxv,eps,desc_a,info,&
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& itmax=itmax,iter=iter,err=err,itrace=itrace,istop=istopc,irst=irst)
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='solver routine'
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call psb_errpush(info,name,a_err=ch_err)
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goto 9999
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end if
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call psb_barrier(ictxt)
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t2 = psb_wtime() - t1
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call psb_amx(ictxt,t2)
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amatsize = a%sizeof()
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descsize = desc_a%sizeof()
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precsize = prec%sizeof()
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call psb_sum(ictxt,amatsize)
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call psb_sum(ictxt,descsize)
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call psb_sum(ictxt,precsize)
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if (iam == psb_root_) then
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write(psb_out_unit,'(" ")')
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write(psb_out_unit,'("Time to solve system : ",es12.5)')t2
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write(psb_out_unit,'("Time per iteration : ",es12.5)')t2/iter
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write(psb_out_unit,'("Number of iterations : ",i0)')iter
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write(psb_out_unit,'("Convergence indicator on exit : ",es12.5)')err
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write(psb_out_unit,'("Info on exit : ",i0)')info
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write(psb_out_unit,'("Total memory occupation for A: ",i12)')amatsize
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write(psb_out_unit,'("Total memory occupation for PREC: ",i12)')precsize
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write(psb_out_unit,'("Total memory occupation for DESC_A: ",i12)')descsize
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write(psb_out_unit,'("Storage type for DESC_A: ",a)') desc_a%get_fmt()
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end if
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!
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! cleanup storage and exit
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!
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call psb_gefree(bv,desc_a,info)
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call psb_gefree(xxv,desc_a,info)
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call psb_spfree(a,desc_a,info)
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call prec%free(info)
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call psb_cdfree(desc_a,info)
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if(info /= psb_success_) then
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info=psb_err_from_subroutine_
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ch_err='free routine'
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call psb_errpush(info,name,a_err=ch_err)
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goto 9999
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end if
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call psb_exit(ictxt)
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stop
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9999 call psb_error(ictxt)
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stop
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contains
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!
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! get iteration parameters from standard input
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!
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subroutine get_parms(ictxt,kmethd,ptype,afmt,idim,istopc,itmax,itrace,irst)
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integer(psb_ipk_) :: ictxt
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character(len=*) :: kmethd, ptype, afmt
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integer(psb_ipk_) :: idim, istopc,itmax,itrace,irst
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integer(psb_ipk_) :: np, iam
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integer(psb_ipk_) :: ip
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call psb_info(ictxt, iam, np)
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if (iam == 0) then
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read(psb_inp_unit,*) ip
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if (ip >= 3) then
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read(psb_inp_unit,*) kmethd
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read(psb_inp_unit,*) ptype
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read(psb_inp_unit,*) afmt
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read(psb_inp_unit,*) idim
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if (ip >= 4) then
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read(psb_inp_unit,*) istopc
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else
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istopc=1
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endif
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if (ip >= 5) then
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read(psb_inp_unit,*) itmax
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else
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itmax=500
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endif
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if (ip >= 6) then
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read(psb_inp_unit,*) itrace
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else
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itrace=-1
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endif
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if (ip >= 7) then
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read(psb_inp_unit,*) irst
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else
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irst=1
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endif
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write(psb_out_unit,'("Solving matrix : ell1")')
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write(psb_out_unit,'("Grid dimensions : ",i5," x ",i5)')idim,idim
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write(psb_out_unit,'("Number of processors : ",i0)')np
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write(psb_out_unit,'("Data distribution : BLOCK")')
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write(psb_out_unit,'("Preconditioner : ",a)') ptype
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write(psb_out_unit,'("Iterative method : ",a)') kmethd
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write(psb_out_unit,'(" ")')
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else
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! wrong number of parameter, print an error message and exit
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call pr_usage(izero)
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call psb_abort(ictxt)
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stop 1
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endif
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end if
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! broadcast parameters to all processors
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call psb_bcast(ictxt,kmethd)
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call psb_bcast(ictxt,afmt)
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call psb_bcast(ictxt,ptype)
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call psb_bcast(ictxt,idim)
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call psb_bcast(ictxt,istopc)
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call psb_bcast(ictxt,itmax)
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call psb_bcast(ictxt,itrace)
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call psb_bcast(ictxt,irst)
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return
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end subroutine get_parms
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!
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! print an error message
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!
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subroutine pr_usage(iout)
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integer(psb_ipk_) :: iout
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write(iout,*)'incorrect parameter(s) found'
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write(iout,*)' usage: pde2d90 methd prec dim &
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&[istop itmax itrace]'
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write(iout,*)' where:'
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write(iout,*)' methd: cgstab cgs rgmres bicgstabl'
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write(iout,*)' prec : bjac diag none'
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write(iout,*)' dim number of points along each axis'
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write(iout,*)' the size of the resulting linear '
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write(iout,*)' system is dim**3'
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write(iout,*)' istop stopping criterion 1, 2 '
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write(iout,*)' itmax maximum number of iterations [500] '
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write(iout,*)' itrace <=0 (no tracing, default) or '
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write(iout,*)' >= 1 do tracing every itrace'
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write(iout,*)' iterations '
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end subroutine pr_usage
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end program psb_s_pde2d
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