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amg4psblas/mlprec/mld_dilu_fct.f90

381 lines
11 KiB
Fortran

!!$
!!$
!!$ MD2P4
!!$ Multilevel Domain Decomposition Parallel Preconditioner Package for PSBLAS
!!$ for
!!$ Parallel Sparse BLAS v2.0
!!$ (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata
!!$ Alfredo Buttari University of Rome Tor Vergata
!!$ Daniela di Serafino Second University of Naples
!!$ Pasqua D'Ambra ICAR-CNR
!!$
!!$ 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 MD2P4 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 MD2P4 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.
!!$
!!$
subroutine mld_dilu_fct(ialg,a,l,u,d,info,blck)
!
! This routine copies and factors "on the fly" from A and BLCK
! into L/D/U.
!
!
use psb_base_mod
use mld_prec_mod, mld_protect_name => mld_dilu_fct
implicit none
! .. Scalar Arguments ..
integer, intent(in) :: ialg
integer, intent(out) :: info
! .. Array Arguments ..
type(psb_dspmat_type),intent(in) :: a
type(psb_dspmat_type),intent(inout) :: l,u
type(psb_dspmat_type),intent(in), optional, target :: blck
real(kind(1.d0)), intent(inout) :: d(:)
! .. Local Scalars ..
integer :: l1, l2, m,err_act
type(psb_dspmat_type), pointer :: blck_
character(len=20) :: name, ch_err
logical, parameter :: debug=.false.
name='mld_dilu_fct'
info = 0
call psb_erractionsave(err_act)
! .. Executable Statements ..
!
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info /= 0) then
call psb_errpush(4010,name,a_err='Allocate')
goto 9999
end if
call psb_nullify_sp(blck_) ! Why do we need this? Who knows....
call psb_sp_all(0,0,blck_,1,info)
if(info.ne.0) then
info=4010
ch_err='psb_sp_all'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
blck_%m=0
endif
call mld_dilu_fctint(ialg,m,a%m,a,blck_%m,blck_,&
& d,l%aspk,l%ia1,l%ia2,u%aspk,u%ia1,u%ia2,l1,l2,info)
if(info.ne.0) then
info=4010
ch_err='mld_dilu_fctint'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
l%infoa(1) = l1
l%fida = 'CSR'
l%descra = 'TLU'
u%infoa(1) = l2
u%fida = 'CSR'
u%descra = 'TUU'
l%m = m
l%k = m
u%m = m
u%k = m
if (present(blck)) then
blck_ => null()
else
call psb_sp_free(blck_,info)
if(info.ne.0) then
info=4010
ch_err='psb_sp_free'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
deallocate(blck_)
endif
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act.eq.psb_act_abort_) then
call psb_error()
return
end if
return
contains
subroutine mld_dilu_fctint(ialg,m,ma,a,mb,b,&
& d,laspk,lia1,lia2,uaspk,uia1,uia2,l1,l2,info)
implicit none
integer, intent(in) :: ialg
type(psb_dspmat_type) :: a,b
integer :: m,ma,mb,l1,l2,info
integer, dimension(:) :: lia1,lia2,uia1,uia2
real(kind(1.d0)), dimension(:) :: laspk,uaspk,d
integer :: i,j,k,l,low1,low2,kk,jj,ll, ktrw,err_act
real(kind(1.d0)) :: dia,temp
integer, parameter :: nrb=16
logical,parameter :: debug=.false.
type(psb_dspmat_type) :: trw
integer :: int_err(5)
character(len=20) :: name, ch_err
name='mld_dilu_fctint'
if(psb_get_errstatus().ne.0) return
info=0
call psb_erractionsave(err_act)
call psb_nullify_sp(trw)
trw%m=0
trw%k=0
if(debug) write(0,*)'LUINT Allocating TRW'
call psb_sp_all(trw,1,info)
if(info.ne.0) then
info=4010
ch_err='psb_sp_all'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
if(debug) write(0,*)'LUINT Done Allocating TRW'
lia2(1) = 1
uia2(1) = 1
l1 = 0
l2 = 0
m = ma+mb
if(debug) write(0,*)'In DCSRLU Begin cycle',m,ma,mb
do i = 1, m
if(debug) write(0,*)'LUINT: Loop index ',i,ma
d(i) = dzero
if (i <= ma) then
call ilu_copyin(i,ma,a,i,m,l1,lia1,lia2,laspk,&
& d(i),l2,uia1,uia2,uaspk,ktrw,trw)
else
call ilu_copyin(i-ma,mb,b,i,m,l1,lia1,lia2,laspk,&
& d(i),l2,uia1,uia2,uaspk,ktrw,trw)
endif
lia2(i+1) = l1 + 1
uia2(i+1) = l2 + 1
dia = d(i)
do kk = lia2(i), lia2(i+1) - 1
!
! compute element alo(i,k) of incomplete factorization
!
temp = laspk(kk)
k = lia1(kk)
laspk(kk) = temp*d(k)
! update the rest of row i using alo(i,k)
low1 = kk + 1
low2 = uia2(i)
updateloop: do jj = uia2(k), uia2(k+1) - 1
j = uia1(jj)
!
if (j < i) then
! search alo(i,*) for matching index J
do ll = low1, lia2(i+1) - 1
l = lia1(ll)
if (l > j) then
low1 = ll
exit
else if (l == j) then
laspk(ll) = laspk(ll) - temp*uaspk(jj)
low1 = ll + 1
cycle updateloop
end if
enddo
!
else if (j == i) then
! j=i update diagonal
! write(0,*)'aggiorno dia',dia,'temp',temp,'jj',jj,'u%aspk',uaspk(jj)
dia = dia - temp*uaspk(jj)
! write(0,*)'dia',dia,'temp',temp,'jj',jj,'aspk',uaspk(jj)
cycle updateloop
!
else if (j > i) then
! search aup(i,*) for matching index j
do ll = low2, uia2(i+1) - 1
l = uia1(ll)
if (l > j) then
low2 = ll
exit
else if (l == j) then
uaspk(ll) = uaspk(ll) - temp*uaspk(jj)
low2 = ll + 1
cycle updateloop
end if
enddo
end if
!
! If we get here we missed the cycle updateloop,
! which means that this entry does not match; thus
! we accumulate on the diagonal for MILU.
!
if (ialg == mld_milu_n_) then
dia = dia - temp*uaspk(jj)
end if
enddo updateloop
enddo
!
!
! Non singularity
!
if (abs(dia) < epstol) then
!
! Pivot too small: unstable factorization
!
info = 2
int_err(1) = i
write(ch_err,'(g20.10)') abs(dia)
call psb_errpush(info,name,i_err=int_err,a_err=ch_err)
goto 9999
else
dia = done/dia
end if
d(i) = dia
! write(6,*)'diag(',i,')=',d(i)
! Scale row i of upper triangle
do kk = uia2(i), uia2(i+1) - 1
uaspk(kk) = uaspk(kk)*dia
enddo
enddo
call psb_sp_free(trw,info)
if(info.ne.0) then
info=4010
ch_err='psb_sp_free'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
if(debug) write(0,*)'Leaving ilu_fct'
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act.eq.psb_act_abort_) then
call psb_error()
return
end if
return
end subroutine mld_dilu_fctint
subroutine ilu_copyin(i,m,a,jd,jmax,l1,lia1,lia2,laspk,&
& dia,l2,uia1,uia2,uaspk,ktrw,trw)
use psb_base_mod
implicit none
type(psb_dspmat_type) :: a,trw
integer :: i,m,ktrw,jd,jmax,l1,l2
integer :: lia1(:),lia2(:),uia1(:),uia2(:)
real(kind(1.d0)) :: laspk(:), uaspk(:), dia
integer :: k,j,info,irb
integer, parameter :: nrb=16
character(len=20), parameter :: name='mld_dilu_fctint'
character(len=20) :: ch_err
if (psb_get_errstatus() /= 0) return
info=0
call psb_erractionsave(err_act)
!
! Here we take a fast shortcut if possible, otherwise
! use spgtblk, slower but able (in principle) of
! handling anything.
!
if (toupper(a%fida)=='CSR') then
do j = a%ia2(i), a%ia2(i+1) - 1
k = a%ia1(j)
! write(0,*)'KKKKK',k
if ((k < jd).and.(k >= 1)) then
l1 = l1 + 1
laspk(l1) = a%aspk(j)
lia1(l1) = k
else if (k == jd) then
dia = a%aspk(j)
else if ((k > jd).and.(k <= jmax)) then
l2 = l2 + 1
uaspk(l2) = a%aspk(j)
uia1(l2) = k
end if
enddo
else
if ((mod(i,nrb) == 1).or.(nrb==1)) then
irb = min(m-i+1,nrb)
call psb_sp_getblk(i,a,trw,info,lrw=i+irb-1)
if(info.ne.0) then
info=4010
ch_err='psb_sp_getblk'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
ktrw=1
end if
do
if (ktrw > trw%infoa(psb_nnz_)) exit
if (trw%ia1(ktrw) > i) exit
k = trw%ia2(ktrw)
if ((k < jd).and.(k >= 1)) then
l1 = l1 + 1
laspk(l1) = trw%aspk(ktrw)
lia1(l1) = k
else if (k == jd) then
dia = trw%aspk(ktrw)
else if ((k > jd).and.(k <= jmax)) then
l2 = l2 + 1
uaspk(l2) = trw%aspk(ktrw)
uia1(l2) = k
end if
ktrw = ktrw + 1
enddo
end if
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act.eq.psb_act_abort_) then
call psb_error()
return
end if
return
end subroutine ilu_copyin
end subroutine mld_dilu_fct