program example1
implicit none
*
* simple example to show how to generate a ScaLAPACK matrix
* contribution from Ed d'Azevedo, ORNL, 2005
*
integer BLOCK_CYCLIC_2D, CSRC_, CTXT_, DLEN_, DTYPE_,
$ LLD_, MB_, M_, NB_, N_, RSRC_
parameter ( BLOCK_CYCLIC_2D = 1, DLEN_ = 9, DTYPE_ = 1,
$ CTXT_ = 2, M_ = 3, N_ = 4, MB_ = 5, NB_ = 6,
$ RSRC_ = 7, CSRC_ = 8, LLD_ = 9 )
*
integer descA(DLEN_)
*
integer lwork
parameter(lwork=10*1000)
double precision work(lwork)
*
integer Asize
parameter(Asize=32*1000*1000)
*
integer nout
parameter(nout=16)
*
double precision aij
double precision A(Asize)
*
integer m,n,mb,nb
integer info, ierr(1)
integer iam,nprocs
integer icontext, myprow,mypcol,nprow,npcol
integer rsrc,csrc,lld,Locp,Locq,Aneed
*
integer ia,ja,irprnt,icprnt
logical isroot, isok
*
integer prow,pcol,lrindx,lcindx,ipos
logical ismypcol, ismyprow, do_print
*
double precision t1,t2
double precision MPI_Wtime
external MPI_Wtime
*
integer numroc, indxg2p
external numroc, indxg2p
external infog2l, descinit
*
mb = 50
nb = 50
m = 400
n = 400
*
* -----------------------
* setup blacs environment
* -----------------------
*
call blacs_pinfo(iam,nprocs)
*
do nprow=int(sqrt(real(nprocs)))+1,1,-1
npcol = nprocs/nprow
if (nprow*npcol.eq.nprocs) goto 11
enddo
11 continue
*
call blacs_get(-1,0,icontext)
call blacs_gridinit(icontext,'Col-major',nprow,npcol)
*
call blacs_gridinfo(icontext,nprow,npcol,myprow,mypcol)
isroot = (myprow.eq.0).and.(mypcol.eq.0)
*
if (isroot) then
write(*,*) 'nprow,npcol ', nprow,npcol
write(*,*) 'm,n ', m,n
write(*,*) 'mb,nb ', mb,nb
endif
*
* ---------------------------------------------------------
* compute local extent and allocate storage for local piece
* ---------------------------------------------------------
*
csrc = 0
rsrc = 0
*
Locq = numroc(n,nb,mypcol,csrc,npcol)
Locq = max(1,Locq)
Locp = numroc(m,mb,myprow,rsrc,nprow)
*
lld = max(Locp,1)
Aneed = lld*Locq
isok = (Aneed.le.Asize)
if (.not.isok) then
if (isroot) then
write(*,*) 'increase Asize to ',Aneed + 1
endif
goto 999
endif
*
* ----------------
* setup descriptor
* ----------------
*
call descinit(descA,m,n,mb,nb,rsrc,csrc,icontext,lld,info)
ierr(1) = info
call igsum2d(icontext,'All',' ',1,1,ierr,1,-1,-1)
isok = (info.eq.0)
if (.not.isok) then
if (isroot) then
write(*,*) 'descinit returns info = ',info
endif
goto 999
endif
*
* ------------------------------
* simple method to setup matrix
*
* (ia,ja) are global indices
* ------------------------------
*
call blacs_barrier(icontext,'All')
t1 = MPI_Wtime()
*
do ja = 1,descA(N_)
pcol = indxg2p(ja,descA(NB_),mypcol,descA(CSRC_),npcol)
ismypcol = (pcol.eq.mypcol)
if (ismypcol) then
do ia=1,descA(M_)
prow = indxg2p(ia,descA(MB_),myprow,descA(RSRC_),nprow)
ismyprow = (prow.eq.myprow)
if (ismyprow) then
call infog2l(ia,ja,descA,nprow,npcol,myprow,mypcol,
& lrindx,lcindx, rsrc,csrc)
ipos = lrindx + (lcindx-1)*descA(LLD_)
*
call generate_Aij(m,n,ia,ja,aij)
A(ipos) = aij
endif
enddo
endif
enddo
*
call blacs_barrier( icontext, 'All')
t2 = MPI_Wtime()
if (isroot) then
write(*,*) 'time to build matrix is ',t2-t1,' sec'
endif
*
* --------------------------------------------
* if matrix is not too big, print out content
* for debugging
* --------------------------------------------
*
do_print = ((m*n.le.200*1000).and.(lwork.ge.mb))
if (do_print) then
*
ia = 1
ja = 1
irprnt = 0
icprnt = 0
call pdlaprnt(m,n,A,ia,ja,descA,irprnt,icprnt,'A',nout,work)
*
endif
*
999 continue
*
* ---------------
* prepare to exit
* ---------------
*
call blacs_barrier(icontext, 'All')
call blacs_gridexit( icontext )
call blacs_exit(0)
stop
end
*
subroutine generate_Aij( m,n, ia,ja, aij )
implicit none
integer m,n, ia,ja
double precision aij
*
aij = dble(ia) + dble(ja-1)*dble(m)
return
end
*