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752 lines
23 KiB
Fortran
752 lines
23 KiB
Fortran
!!$
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!!$ Parallel Sparse BLAS v2.0
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!!$ (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata
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!!$ Alfredo Buttari University of Rome Tor Vergata
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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: ppde90.f90
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!
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! Program: ppde90
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! This sample program shows how to build and solve a sparse linear
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!
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! The program solves a linear system based on the partial differential
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! equation
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!
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!
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!
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! The equation generated is
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!
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! b1 d d (u) b2 d d (u) a1 d (u)) a2 d (u)))
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! - ------ - ------ + ----- + ------ + a3 u = 0
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! dx dx dy dy dx dy
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!
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!
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! with Dirichlet boundary conditions on the unit cube
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!
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! 0<=x,y,z<=1
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!
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! The equation is discretized with finite differences and uniform stepsize;
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! the resulting discrete equation is
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!
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! ( u(x,y,z)(2b1+2b2+a1+a2)+u(x-1,y)(-b1-a1)+u(x,y-1)(-b2-a2)+
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! -u(x+1,y)b1-u(x,y+1)b2)*(1/h**2)
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!
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! Example taken from: C.T.Kelley
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! Iterative Methods for Linear and Nonlinear Equations
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! SIAM 1995
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!
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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 an HPF BLOCK
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! distribution directive.
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!
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! Boundary conditions are set in a very simple way, by adding
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! equations of the form
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!
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! u(x,y) = rhs(x,y)
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!
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program pde90
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use psb_sparse_mod
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implicit none
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interface
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!.....user passed subroutine.....
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subroutine part_block(glob_index,n,np,pv,nv)
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integer, intent(in) :: glob_index, n, np
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integer, intent(out) :: nv
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integer, intent(out) :: pv(*)
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end subroutine part_block
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end interface
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! input parameters
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character :: cmethd*10, prec*10, afmt*5
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integer :: idim, iret
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! miscellaneous
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character, parameter :: order='r'
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integer :: iargc,convert_descr,dim, check_descr
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real(kind(1.d0)), parameter :: one = 1.d0
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real(kind(1.d0)) :: mpi_wtime, t1, t2, tprec, tsolve, t3, t4
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external mpi_wtime
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! sparse matrix and preconditioner
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type(psb_dspmat_type) :: a, l, u, h
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type(psb_dprec_type) :: pre
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! descriptor
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type(psb_desc_type) :: desc_a, desc_a_out
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! dense matrices
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real(kind(1.d0)), pointer :: b(:), x(:), d(:),ld(:)
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integer, pointer :: work(:)
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! blacs parameters
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integer :: nprow, npcol, icontxt, iam, np, myprow, mypcol
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! solver parameters
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integer :: iter, itmax,ierr,itrace, methd,iprec, istopc,&
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& iparm(20), ml, novr
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real(kind(1.d0)) :: err, eps, rparm(20)
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! other variables
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integer :: i,info
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integer :: internal, m,ii
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character(len=10) :: ptype
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character(len=20) :: name,ch_err
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if(psb_get_errstatus().ne.0) goto 9999
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info=0
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name='pde90'
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call psb_set_errverbosity(2)
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call psb_set_erraction(0)
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! initialize blacs
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call blacs_pinfo(iam, np)
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call blacs_get(izero, izero, icontxt)
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! rectangular grid, p x 1
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call blacs_gridinit(icontxt, order, np, ione)
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call blacs_gridinfo(icontxt, nprow, npcol, myprow, mypcol)
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!
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! get parameters
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!
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call get_parms(icontxt,cmethd,iprec,novr,afmt,idim,istopc,itmax,itrace,ml)
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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 blacs_barrier(icontxt,'ALL')
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t1 = mpi_wtime()
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call create_matrix(idim,a,b,x,desc_a,part_block,icontxt,afmt,info)
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t2 = mpi_wtime() - t1
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if(info.ne.0) then
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info=4010
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ch_err='create_matrix'
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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 gamx2d(icontxt,'a',t2)
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if (iam.eq.0) write(*,'("Overall matrix creation time : ",es10.4)')t2
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if (iam.eq.0) write(*,'(" ")')
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!
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! prepare the preconditioner.
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!
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if(iam.eq.psb_root_) write(0,'("Setting preconditioner to : ",a)')pr_to_str(iprec)
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select case(iprec)
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case(noprec_)
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call psb_precset(pre,'noprec')
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case(diagsc_)
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call psb_precset(pre,'diagsc')
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case(bja_)
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call psb_precset(pre,'ilu')
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case(asm_)
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call psb_precset(pre,'asm',iv=(/novr,halo_,sum_/))
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case(ash_)
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call psb_precset(pre,'asm',iv=(/novr,nohalo_,sum_/))
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case(ras_)
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call psb_precset(pre,'asm',iv=(/novr,halo_,none_/))
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case(rash_)
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call psb_precset(pre,'asm',iv=(/novr,nohalo_,none_/))
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case(ras2lv_)
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ptype='asm'
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call psb_precset(pre,ptype,iv=(/novr,halo_,none_/))
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ptype='ml'
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call psb_precset(pre,ptype,&
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&iv=(/add_ml_prec_,loc_aggr_,no_smth_,mat_repl_,&
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& pre_smooth_/),rs=0.d0)
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case(ras2lvm_)
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ptype='asm'
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call psb_precset(pre,ptype,iv=(/novr,halo_,none_/))
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ptype='ml'
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call psb_precset(pre,ptype,&
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& iv=(/mult_ml_prec_,glb_aggr_,pre_smooth_/),rs=0.d0)
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end select
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call blacs_barrier(icontxt,'ALL')
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t1 = mpi_wtime()
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call psb_precbld(a,desc_a,pre,info)
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if(info.ne.0) then
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info=4010
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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 = mpi_wtime()-t1
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call gamx2d(icontxt,'a',tprec)
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if (iam.eq.0) write(*,'("Preconditioner time : ",es10.4)')tprec
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if (iam.eq.0) write(*,'(" ")')
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!
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! iterative method parameters
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!
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if(iam.eq.psb_root_) write(*,'("Calling iterative method ",a)')cmethd
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call blacs_barrier(icontxt,'ALL')
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t1 = mpi_wtime()
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eps = 1.d-9
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if (cmethd.eq.'BICGSTAB') then
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call psb_bicgstab(a,pre,b,x,eps,desc_a,info,&
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& itmax,iter,err,itrace)
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else if (cmethd.eq.'CGS') then
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call psb_cgs(a,pre,b,x,eps,desc_a,info,&
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& itmax,iter,err,itrace)
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else if (cmethd.eq.'CG') then
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call psb_cg(a,pre,b,x,eps,desc_a,info,&
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& itmax,iter,err,itrace)
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else if (cmethd.eq.'BICGSTABL') then
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call psb_bicgstabl(a,pre,b,x,eps,desc_a,info,&
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& itmax,iter,err,itrace,ml)
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else
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write(0,*) 'unknown method ',cmethd
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end if
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if(info.ne.0) then
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info=4010
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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 blacs_barrier(icontxt,'ALL')
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t2 = mpi_wtime() - t1
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call gamx2d(icontxt,'a',t2)
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if (iam.eq.0) then
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write(*,'(" ")')
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write(*,'("Time to solve matrix : ",es10.4)')t2
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write(*,'("Time per iteration : ",es10.4)')t2/iter
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write(*,'("Number of iterations : ",i0)')iter
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write(*,'("Error on exit : ",es10.4)')err
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write(*,'("Info on exit : ",i0)')info
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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(b,desc_a,info)
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call psb_gefree(x,desc_a,info)
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call psb_spfree(a,desc_a,info)
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call psb_precfree(pre,info)
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call psb_cdfree(desc_a,info)
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if(info.ne.0) then
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info=4010
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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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9999 continue
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if(info /= 0) then
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call psb_error(icontxt)
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call blacs_gridexit(icontxt)
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call blacs_exit(0)
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else
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call blacs_gridexit(icontxt)
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call blacs_exit(0)
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end if
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stop
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contains
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!
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! get iteration parameters from the command line
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!
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subroutine get_parms(icontxt,cmethd,iprec,novr,afmt,idim,istopc,itmax,itrace,ml)
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integer :: icontxt
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character :: cmethd*10, afmt*5
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integer :: idim, iret, istopc,itmax,itrace,ml, iprec, novr
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character*40 :: charbuf
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integer :: iargc, nprow, npcol, myprow, mypcol
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external iargc
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integer :: intbuf(10), ip
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call blacs_gridinfo(icontxt, nprow, npcol, myprow, mypcol)
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if (myprow==0) then
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read(*,*) ip
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if (ip.ge.3) then
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read(*,*) cmethd
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read(*,*) iprec
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read(*,*) novr
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read(*,*) afmt
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! convert strings in array
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do i = 1, len(cmethd)
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intbuf(i) = iachar(cmethd(i:i))
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end do
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! broadcast parameters to all processors
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call igebs2d(icontxt,'ALL',' ',10,1,intbuf,10)
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! broadcast parameters to all processors
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call igebs2d(icontxt,'ALL',' ',1,1,iprec,10)
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! broadcast parameters to all processors
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call igebs2d(icontxt,'ALL',' ',1,1,novr,10)
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do i = 1, len(afmt)
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intbuf(i) = iachar(afmt(i:i))
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end do
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! broadcast parameters to all processors
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call igebs2d(icontxt,'ALL',' ',10,1,intbuf,10)
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read(*,*) idim
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if (ip.ge.4) then
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read(*,*) istopc
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else
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istopc=1
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endif
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if (ip.ge.5) then
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read(*,*) itmax
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else
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itmax=500
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endif
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if (ip.ge.6) then
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read(*,*) itrace
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else
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itrace=-1
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endif
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if (ip.ge.7) then
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read(*,*) ml
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else
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ml=1
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endif
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! broadcast parameters to all processors
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intbuf(1) = idim
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intbuf(2) = istopc
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intbuf(3) = itmax
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intbuf(4) = itrace
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intbuf(5) = ml
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call igebs2d(icontxt,'ALL',' ',5,1,intbuf,5)
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write(*,'("Solving matrix : ell1")')
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write(*,'("Grid dimensions : ",i4,"x",i4,"x",i4)')idim,idim,idim
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write(*,'("Number of processors : ",i0)')nprow
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write(*,'("Data distribution : BLOCK")')
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write(*,'("Preconditioner : ",a)')pr_to_str(iprec)
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if(iprec.gt.2) write(*,'("Overlapping levels : ",i0)')novr
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write(*,'("Iterative method : ",a)')cmethd
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write(*,'(" ")')
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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(0)
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call blacs_abort(icontxt,-1)
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stop 1
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endif
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else
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! receive parameters
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call igebr2d(icontxt,'ALL',' ',10,1,intbuf,10,0,0)
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do i = 1, 10
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cmethd(i:i) = achar(intbuf(i))
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end do
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call igebr2d(icontxt,'ALL',' ',1,1,iprec,10,0,0)
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call igebr2d(icontxt,'ALL',' ',1,1,novr,10,0,0)
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call igebr2d(icontxt,'ALL',' ',10,1,intbuf,10,0,0)
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do i = 1, 5
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afmt(i:i) = achar(intbuf(i))
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end do
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call igebr2d(icontxt,'ALL',' ',5,1,intbuf,5,0,0)
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idim = intbuf(1)
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istopc = intbuf(2)
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itmax = intbuf(3)
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itrace = intbuf(4)
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ml = intbuf(5)
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end if
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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 :: iout
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write(iout,*)'incorrect parameter(s) found'
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write(iout,*)' usage: pde90 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 tfqmr cgs'
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write(iout,*)' prec : ilu diagsc 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 or 3 [1] '
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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,*)' >= 0 do tracing every itrace'
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write(iout,*)' iterations '
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end subroutine pr_usage
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!
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! subroutine to allocate and fill in the coefficient matrix and
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! the rhs.
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!
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subroutine create_matrix(idim,a,b,t,desc_a,parts,icontxt,afmt,info)
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!
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! discretize the partial diferential equation
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!
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! b1 dd(u) b2 dd(u) b3 dd(u) a1 d(u) a2 d(u) a3 d(u)
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! - ------ - ------ - ------ - ----- - ------ - ------ + a4 u
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! dxdx dydy dzdz dx dy dz
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!
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! = 0
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!
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! boundary condition: dirichlet
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! 0< x,y,z<1
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!
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! u(x,y,z)(2b1+2b2+2b3+a1+a2+a3)+u(x-1,y,z)(-b1-a1)+u(x,y-1,z)(-b2-a2)+
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! + u(x,y,z-1)(-b3-a3)-u(x+1,y,z)b1-u(x,y+1,z)b2-u(x,y,z+1)b3
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use psb_sparse_mod
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implicit none
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integer :: idim
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integer, parameter :: nbmax=10
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real(kind(1.d0)),pointer :: b(:),t(:)
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type(psb_desc_type) :: desc_a
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integer :: icontxt, info
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character :: afmt*5
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interface
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! .....user passed subroutine.....
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subroutine parts(global_indx,n,np,pv,nv)
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implicit none
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integer, intent(in) :: global_indx, n, np
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integer, intent(out) :: nv
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integer, intent(out) :: pv(*)
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end subroutine parts
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end interface ! local variables
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type(psb_dspmat_type) :: a
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real(kind(1.d0)) :: zt(nbmax),glob_x,glob_y,glob_z
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integer :: m,n,nnz,glob_row,j
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integer :: x,y,z,counter,ia,i,indx_owner
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integer :: nprow,npcol,myprow,mypcol
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integer :: element
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integer :: nv, inv
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integer, allocatable :: irow(:),icol(:)
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real(kind(1.d0)), allocatable :: val(:)
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integer, allocatable :: prv(:)
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integer, pointer :: ierrv(:)
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real(kind(1.d0)), pointer :: dwork(:)
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integer,pointer :: iwork(:)
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! deltah dimension of each grid cell
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! deltat discretization time
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real(kind(1.d0)) :: deltah
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real(kind(1.d0)),parameter :: rhs=0.d0,one=1.d0,zero=0.d0
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real(kind(1.d0)) :: mpi_wtime, t1, t2, t3, tins, tasb
|
|
real(kind(1.d0)) :: a1, a2, a3, a4, b1, b2, b3
|
|
external mpi_wtime,a1, a2, a3, a4, b1, b2, b3
|
|
integer :: nb, ir1, ir2, ipr, err_act
|
|
logical :: own
|
|
! common area
|
|
|
|
character(len=20) :: name, ch_err
|
|
|
|
info = 0
|
|
name = 'create_matrix'
|
|
call psb_erractionsave(err_act)
|
|
|
|
call blacs_gridinfo(icontxt, nprow, npcol, myprow, mypcol)
|
|
|
|
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)/(nprow*npcol))
|
|
if(myprow.eq.psb_root_) write(0,'("Generating Matrix (size=",i0x,")...")')n
|
|
|
|
call psb_cdall(n,n,parts,icontxt,desc_a,info)
|
|
call psb_spall(a,desc_a,info,nnz=nnz)
|
|
! define rhs from boundary conditions; also build initial guess
|
|
call psb_geall(n,b,desc_a,info)
|
|
call psb_geall(n,t,desc_a,info)
|
|
if(info.ne.0) then
|
|
info=4010
|
|
ch_err='allocation rout.'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
! we build an auxiliary matrix consisting of one row at a
|
|
! time; just a small matrix. might be extended to generate
|
|
! a bunch of rows per call.
|
|
!
|
|
allocate(val(20*nbmax),irow(20*nbmax),&
|
|
&icol(20*nbmax),prv(nprow),stat=info)
|
|
if (info.ne.0 ) then
|
|
info=4000
|
|
call psb_errpush(info,name)
|
|
goto 9999
|
|
endif
|
|
|
|
tins = 0.d0
|
|
call blacs_barrier(icontxt,'ALL')
|
|
t1 = mpi_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,nprow,prv,nv)
|
|
do inv = 1, nv
|
|
indx_owner = prv(inv)
|
|
if (indx_owner == myprow) then
|
|
! local matrix pointer
|
|
element=1
|
|
! compute gridpoint coordinates
|
|
if (mod(glob_row,(idim*idim)).eq.0) then
|
|
x = glob_row/(idim*idim)
|
|
else
|
|
x = glob_row/(idim*idim)+1
|
|
endif
|
|
if (mod((glob_row-(x-1)*idim*idim),idim).eq.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 = mpi_wtime()
|
|
call psb_spins(element-1,irow,icol,val,a,desc_a,info)
|
|
if(info.ne.0) exit
|
|
tins = tins + (mpi_wtime()-t3)
|
|
call psb_geins(1,b,ia,zt(1:1),desc_a,info)
|
|
if(info.ne.0) exit
|
|
zt(1)=0.d0
|
|
call psb_geins(1,t,ia,zt(1:1),desc_a,info)
|
|
if(info.ne.0) exit
|
|
end if
|
|
end do
|
|
end do
|
|
|
|
call blacs_barrier(icontxt,'ALL')
|
|
t2 = mpi_wtime()-t1
|
|
|
|
if(info.ne.0) then
|
|
info=4010
|
|
ch_err='insert rout.'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
deallocate(val,irow,icol)
|
|
|
|
t1 = mpi_wtime()
|
|
call psb_cdasb(desc_a,info)
|
|
call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt)
|
|
call blacs_barrier(icontxt,'ALL')
|
|
tasb = mpi_wtime()-t1
|
|
if(info.ne.0) then
|
|
info=4010
|
|
ch_err='asb rout.'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
call gamx2d(icontxt,'a',t2)
|
|
call gamx2d(icontxt,'a',tins)
|
|
call gamx2d(icontxt,'a',tasb)
|
|
|
|
if(myprow.eq.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(t,desc_a,info)
|
|
if(info.ne.0) then
|
|
info=4010
|
|
ch_err='asb rout.'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 continue
|
|
call psb_erractionrestore(err_act)
|
|
if (err_act.eq.act_abort) then
|
|
call psb_error(icontxt)
|
|
return
|
|
end if
|
|
return
|
|
end subroutine create_matrix
|
|
end program pde90
|
|
!
|
|
! functions parametrizing the differential equation
|
|
!
|
|
function a1(x,y,z)
|
|
real(kind(1.d0)) :: a1
|
|
real(kind(1.d0)) :: x,y,z
|
|
a1=1.d0
|
|
end function a1
|
|
function a2(x,y,z)
|
|
real(kind(1.d0)) :: a2
|
|
real(kind(1.d0)) :: x,y,z
|
|
a2=2.d1*y
|
|
end function a2
|
|
function a3(x,y,z)
|
|
real(kind(1.d0)) :: a3
|
|
real(kind(1.d0)) :: x,y,z
|
|
a3=1.d0
|
|
end function a3
|
|
function a4(x,y,z)
|
|
real(kind(1.d0)) :: a4
|
|
real(kind(1.d0)) :: x,y,z
|
|
a4=1.d0
|
|
end function a4
|
|
function b1(x,y,z)
|
|
real(kind(1.d0)) :: b1
|
|
real(kind(1.d0)) :: x,y,z
|
|
b1=1.d0
|
|
end function b1
|
|
function b2(x,y,z)
|
|
real(kind(1.d0)) :: b2
|
|
real(kind(1.d0)) :: x,y,z
|
|
b2=1.d0
|
|
end function b2
|
|
function b3(x,y,z)
|
|
real(kind(1.d0)) :: b3
|
|
real(kind(1.d0)) :: x,y,z
|
|
b3=1.d0
|
|
end function b3
|
|
|
|
|