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!!$
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|
|
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!!$ Parallel Sparse BLAS version 3.0
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|
|
|
!!$ (C) Copyright 2010
|
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|
|
|
!!$ Salvatore Filippone University of Rome Tor Vergata
|
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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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subroutine psb_cilu_fct(a,l,u,d,info,blck)
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!
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|
|
! This routine copies and factors "on the fly" from A and BLCK
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! into L/D/U.
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!
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|
!
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|
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use psb_sparse_mod
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implicit none
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|
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! .. Scalar Arguments ..
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integer, intent(out) :: info
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|
|
! .. Array Arguments ..
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type(psb_c_sparse_mat),intent(in) :: a
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type(psb_c_csr_sparse_mat),intent(inout) :: l,u
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type(psb_c_sparse_mat),intent(in), optional, target :: blck
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complex(psb_spk_), intent(inout) :: d(:)
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|
|
! .. Local Scalars ..
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integer :: l1, l2,m,err_act
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type(psb_c_sparse_mat), pointer :: blck_
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character(len=20) :: name, ch_err
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name='psb_ilu_fct'
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info = psb_success_
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call psb_erractionsave(err_act)
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! .. Executable Statements ..
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!
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if (present(blck)) then
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blck_ => blck
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else
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allocate(blck_,stat=info)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='Allocate')
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goto 9999
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end if
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call blck_%csall(0,0,info,1)
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endif
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call psb_cilu_fctint(m,a%get_nrows(),a,blck_%get_nrows(),blck_,&
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& d,l%val,l%ja,l%irp,u%val,u%ja,u%irp,l1,l2,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_cilu_fctint'
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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 l%set_triangle()
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call l%set_lower()
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call l%set_unit()
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call u%set_triangle()
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|
call u%set_upper()
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|
call u%set_unit()
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call l%set_nrows(m)
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|
call l%set_ncols(m)
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|
call u%set_nrows(m)
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|
|
call u%set_ncols(m)
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|
if (present(blck)) then
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|
blck_ => null()
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|
else
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|
|
call blck_%free()
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|
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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_sp_free'
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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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|
|
deallocate(blck_)
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|
endif
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|
|
call psb_erractionrestore(err_act)
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|
|
return
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|
9999 continue
|
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call psb_erractionrestore(err_act)
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|
|
if (err_act == psb_act_abort_) then
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|
call psb_error()
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|
|
return
|
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|
|
end if
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return
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|
|
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|
|
contains
|
|
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|
|
subroutine psb_cilu_fctint(m,ma,a,mb,b,&
|
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|
|
|
& d,laspk,lia1,lia2,uaspk,uia1,uia2,l1,l2,info)
|
|
|
|
|
implicit none
|
|
|
|
|
|
|
|
|
|
type(psb_c_sparse_mat) :: a,b
|
|
|
|
|
integer :: m,ma,mb,l1,l2,info
|
|
|
|
|
integer, dimension(:) :: lia1,lia2,uia1,uia2
|
|
|
|
|
complex(psb_spk_), dimension(:) :: laspk,uaspk,d
|
|
|
|
|
|
|
|
|
|
integer :: i,j,k,l,low1,low2,kk,jj,ll, irb, ktrw,err_act, nz
|
|
|
|
|
complex(psb_spk_) :: dia,temp
|
|
|
|
|
integer, parameter :: nrb=60
|
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|
|
|
type(psb_c_coo_sparse_mat) :: trw
|
|
|
|
|
integer :: int_err(5)
|
|
|
|
|
character(len=20) :: name, ch_err
|
|
|
|
|
|
|
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|
|
name='psb_cilu_fctint'
|
|
|
|
|
if(psb_get_errstatus() /= 0) return
|
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|
info=psb_success_
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|
|
call psb_erractionsave(err_act)
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|
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call trw%allocate(0,0,1)
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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_sp_all'
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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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|
|
lia2(1) = 1
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|
uia2(1) = 1
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|
l1=0
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|
|
l2=0
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|
m = ma+mb
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|
|
do i = 1, ma
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|
|
d(i) = czero
|
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|
|
|
|
|
|
|
!
|
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|
!
|
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|
|
select type(aa => a%a)
|
|
|
|
|
type is (psb_c_csr_sparse_mat)
|
|
|
|
|
do j = aa%irp(i), aa%irp(i+1) - 1
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|
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|
|
k = aa%ja(j)
|
|
|
|
|
! write(psb_err_unit,*)'KKKKK',k
|
|
|
|
|
if ((k < i).and.(k >= 1)) then
|
|
|
|
|
l1 = l1 + 1
|
|
|
|
|
laspk(l1) = aa%val(j)
|
|
|
|
|
lia1(l1) = k
|
|
|
|
|
else if (k == i) then
|
|
|
|
|
d(i) = aa%val(j)
|
|
|
|
|
else if ((k > i).and.(k <= m)) then
|
|
|
|
|
l2 = l2 + 1
|
|
|
|
|
uaspk(l2) = aa%val(j)
|
|
|
|
|
uia1(l2) = k
|
|
|
|
|
end if
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
class default
|
|
|
|
|
|
|
|
|
|
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
|
|
|
|
|
irb = min(ma-i+1,nrb)
|
|
|
|
|
call aa%csget(i,i+irb-1,trw,info)
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='a%csget'
|
|
|
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
nz = trw%get_nzeros()
|
|
|
|
|
ktrw=1
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
do
|
|
|
|
|
if (ktrw > nz ) exit
|
|
|
|
|
if (trw%ia(ktrw) > i) exit
|
|
|
|
|
k = trw%ja(ktrw)
|
|
|
|
|
if ((k < i).and.(k >= 1)) then
|
|
|
|
|
l1 = l1 + 1
|
|
|
|
|
laspk(l1) = trw%val(ktrw)
|
|
|
|
|
lia1(l1) = k
|
|
|
|
|
else if (k == i) then
|
|
|
|
|
d(i) = trw%val(ktrw)
|
|
|
|
|
else if ((k > i).and.(k <= m)) then
|
|
|
|
|
l2 = l2 + 1
|
|
|
|
|
uaspk(l2) = trw%val(ktrw)
|
|
|
|
|
uia1(l2) = k
|
|
|
|
|
end if
|
|
|
|
|
ktrw = ktrw + 1
|
|
|
|
|
enddo
|
|
|
|
|
end select
|
|
|
|
|
!!$
|
|
|
|
|
|
|
|
|
|
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(psb_err_unit,*)'aggiorno dia',dia,'temp',temp,'jj',jj,'u%aspk',uaspk(jj)
|
|
|
|
|
dia = dia - temp*uaspk(jj)
|
|
|
|
|
! write(psb_err_unit,*)'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
|
|
|
|
|
!
|
|
|
|
|
! for milu al=1.; for ilu al=0.
|
|
|
|
|
! al = 1.d0
|
|
|
|
|
! dia = dia - al*temp*aup(jj)
|
|
|
|
|
enddo updateloop
|
|
|
|
|
enddo
|
|
|
|
|
!
|
|
|
|
|
!
|
|
|
|
|
! Non singularity
|
|
|
|
|
!
|
|
|
|
|
if (abs(dia) < s_epstol) then
|
|
|
|
|
!
|
|
|
|
|
! Pivot too small: unstable factorization
|
|
|
|
|
!
|
|
|
|
|
info = psb_err_pivot_too_small_
|
|
|
|
|
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 = cone/dia
|
|
|
|
|
end if
|
|
|
|
|
d(i) = dia
|
|
|
|
|
! write(psb_err_unit,*)'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
|
|
|
|
|
|
|
|
|
|
do i = ma+1, m
|
|
|
|
|
d(i) = czero
|
|
|
|
|
|
|
|
|
|
select type(aa => b%a)
|
|
|
|
|
type is (psb_c_csr_sparse_mat)
|
|
|
|
|
do j = aa%irp(i-ma), aa%irp(i-ma+1) - 1
|
|
|
|
|
k = aa%ja(j)
|
|
|
|
|
! write(psb_err_unit,*)'KKKKK',k
|
|
|
|
|
if ((k < i).and.(k >= 1)) then
|
|
|
|
|
l1 = l1 + 1
|
|
|
|
|
laspk(l1) = aa%val(j)
|
|
|
|
|
lia1(l1) = k
|
|
|
|
|
else if (k == i) then
|
|
|
|
|
d(i) = aa%val(j)
|
|
|
|
|
else if ((k > i).and.(k <= m)) then
|
|
|
|
|
l2 = l2 + 1
|
|
|
|
|
uaspk(l2) = aa%val(j)
|
|
|
|
|
uia1(l2) = k
|
|
|
|
|
end if
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
class default
|
|
|
|
|
|
|
|
|
|
if ((mod(i,nrb) == 1).or.(nrb == 1)) then
|
|
|
|
|
irb = min(ma-i+1,nrb)
|
|
|
|
|
call aa%csget(i-ma,i-ma+irb-1,trw,info)
|
|
|
|
|
nz = trw%get_nzeros()
|
|
|
|
|
if(info /= psb_success_) then
|
|
|
|
|
info=psb_err_from_subroutine_
|
|
|
|
|
ch_err='a%csget'
|
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|
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
|
|
|
goto 9999
|
|
|
|
|
end if
|
|
|
|
|
ktrw=1
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
do
|
|
|
|
|
if (ktrw > nz ) exit
|
|
|
|
|
if (trw%ia(ktrw) > i) exit
|
|
|
|
|
k = trw%ja(ktrw)
|
|
|
|
|
if ((k < i).and.(k >= 1)) then
|
|
|
|
|
l1 = l1 + 1
|
|
|
|
|
laspk(l1) = trw%val(ktrw)
|
|
|
|
|
lia1(l1) = k
|
|
|
|
|
else if (k == i) then
|
|
|
|
|
d(i) = trw%val(ktrw)
|
|
|
|
|
else if ((k > i).and.(k <= m)) then
|
|
|
|
|
l2 = l2 + 1
|
|
|
|
|
uaspk(l2) = trw%val(ktrw)
|
|
|
|
|
uia1(l2) = k
|
|
|
|
|
end if
|
|
|
|
|
ktrw = ktrw + 1
|
|
|
|
|
enddo
|
|
|
|
|
end select
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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)
|
|
|
|
|
updateloopb: 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 updateloopb
|
|
|
|
|
end if
|
|
|
|
|
enddo
|
|
|
|
|
!
|
|
|
|
|
else if (j == i) then
|
|
|
|
|
! j=i update diagonal
|
|
|
|
|
dia = dia - temp*uaspk(jj)
|
|
|
|
|
cycle updateloopb
|
|
|
|
|
!
|
|
|
|
|
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 updateloopb
|
|
|
|
|
end if
|
|
|
|
|
enddo
|
|
|
|
|
end if
|
|
|
|
|
!
|
|
|
|
|
! for milu al=1.; for ilu al=0.
|
|
|
|
|
! al = 1.d0
|
|
|
|
|
! dia = dia - al*temp*aup(jj)
|
|
|
|
|
enddo updateloopb
|
|
|
|
|
enddo
|
|
|
|
|
!
|
|
|
|
|
!
|
|
|
|
|
! Non singularity
|
|
|
|
|
!
|
|
|
|
|
if (abs(dia) < s_epstol) then
|
|
|
|
|
!
|
|
|
|
|
! Pivot too small: unstable factorization
|
|
|
|
|
!
|
|
|
|
|
int_err(1) = i
|
|
|
|
|
write(ch_err,'(g20.10)') abs(dia)
|
|
|
|
|
info = psb_err_pivot_too_small_
|
|
|
|
|
call psb_errpush(info,name,i_err=int_err,a_err=ch_err)
|
|
|
|
|
goto 9999
|
|
|
|
|
else
|
|
|
|
|
dia = cone/dia
|
|
|
|
|
end if
|
|
|
|
|
d(i) = dia
|
|
|
|
|
! Scale row i of upper triangle
|
|
|
|
|
do kk = uia2(i), uia2(i+1) - 1
|
|
|
|
|
uaspk(kk) = uaspk(kk)*dia
|
|
|
|
|
enddo
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
call trw%free()
|
|
|
|
|
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
|
return
|
|
|
|
|
|
|
|
|
|
9999 continue
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
|
|
|
if (err_act == psb_act_abort_) then
|
|
|
|
|
call psb_error()
|
|
|
|
|
return
|
|
|
|
|
end if
|
|
|
|
|
return
|
|
|
|
|
end subroutine psb_cilu_fctint
|
|
|
|
|
end subroutine psb_cilu_fct
|
