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|
!!$
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|
|
|
|
!!$
|
|
|
|
|
!!$ MD2P4
|
|
|
|
|
!!$ Multilevel Domain Decomposition Parallel Preconditioner Package for PSBLAS
|
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|
|
|
!!$ for
|
|
|
|
|
!!$ Parallel Sparse BLAS v2.0
|
|
|
|
|
!!$ (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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|
|
!!$ Daniela di Serafino Second University of Naples
|
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|
!!$ Pasqua D'Ambra ICAR-CNR
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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.
|
|
|
|
|
!!$ 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
|
|
|
|
|
!!$ documentation and/or other materials provided with the distribution.
|
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|
|
!!$ 3. The name of the MD2P4 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 MD2P4 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
|
|
|
|
|
!!$ 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_zilu_fct(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
|
|
|
|
|
implicit none
|
|
|
|
|
! .. Scalar Arguments ..
|
|
|
|
|
integer, intent(out) :: info
|
|
|
|
|
! .. Array Arguments ..
|
|
|
|
|
type(psb_zspmat_type),intent(in) :: a
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|
|
|
|
type(psb_zspmat_type),intent(inout) :: l,u
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|
|
|
type(psb_zspmat_type),intent(in), optional, target :: blck
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|
|
|
|
complex(kind(1.d0)), intent(inout) :: d(:)
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|
|
|
|
! .. Local Scalars ..
|
|
|
|
|
integer :: i, j, jj, k, kk, l1, l2, ll, low1, low2,m,ma,err_act
|
|
|
|
|
type(psb_zspmat_type), pointer :: blck_
|
|
|
|
|
character(len=20) :: name, ch_err
|
|
|
|
|
|
|
|
|
|
name='psb_zilu_fct'
|
|
|
|
|
info = 0
|
|
|
|
|
call psb_erractionsave(err_act)
|
|
|
|
|
! .. 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
|
|
|
|
|
allocate(blck_,stat=info)
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|
|
|
if (info /= 0) then
|
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|
|
|
call psb_errpush(4010,name,a_err='Allocate')
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|
|
|
goto 9999
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|
|
end if
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|
|
call psb_nullify_sp(blck_) ! Why do we need this? Who knows....
|
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|
|
|
call psb_sp_all(0,0,blck_,1,info)
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|
|
|
if(info.ne.0) then
|
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|
|
info=4010
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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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|
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|
blck_%m=0
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|
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|
|
endif
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|
|
|
|
|
call psb_zilu_fctint(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='psb_zilu_fctint'
|
|
|
|
|
call psb_errpush(info,name,a_err=ch_err)
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|
|
|
|
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 psb_zilu_fctint(m,ma,a,mb,b,&
|
|
|
|
|
& d,laspk,lia1,lia2,uaspk,uia1,uia2,l1,l2,info)
|
|
|
|
|
implicit none
|
|
|
|
|
|
|
|
|
|
type(psb_zspmat_type) :: a,b
|
|
|
|
|
integer :: m,ma,mb,l1,l2,info
|
|
|
|
|
integer, dimension(*) :: lia1,lia2,uia1,uia2
|
|
|
|
|
complex(kind(1.d0)), dimension(*) :: laspk,uaspk,d
|
|
|
|
|
|
|
|
|
|
integer :: i,j,k,l,low1,low2,kk,jj,ll, irb, ktrw,err_act
|
|
|
|
|
complex(kind(1.d0)) :: dia,temp
|
|
|
|
|
integer, parameter :: nrb=16
|
|
|
|
|
logical,parameter :: debug=.false.
|
|
|
|
|
type(psb_zspmat_type) :: trw
|
|
|
|
|
integer :: int_err(5)
|
|
|
|
|
character(len=20) :: name, ch_err
|
|
|
|
|
|
|
|
|
|
name='psb_zilu_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, ma
|
|
|
|
|
if(debug) write(0,*)'LUINT: Loop index ',i,ma
|
|
|
|
|
d(i) = zzero
|
|
|
|
|
|
|
|
|
|
!
|
|
|
|
|
! Here we take a fast shortcut if possible, otherwise
|
|
|
|
|
! use spgtblk, slower but able (in principle) to handle
|
|
|
|
|
! 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 < i).and.(k >= 1)) then
|
|
|
|
|
l1 = l1 + 1
|
|
|
|
|
laspk(l1) = a%aspk(j)
|
|
|
|
|
lia1(l1) = k
|
|
|
|
|
else if (k == i) then
|
|
|
|
|
d(i) = a%aspk(j)
|
|
|
|
|
else if ((k > i).and.(k <= m)) 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(ma-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 < i).and.(k >= 1)) then
|
|
|
|
|
l1 = l1 + 1
|
|
|
|
|
laspk(l1) = trw%aspk(ktrw)
|
|
|
|
|
lia1(l1) = k
|
|
|
|
|
else if (k == i) then
|
|
|
|
|
d(i) = trw%aspk(ktrw)
|
|
|
|
|
else if ((k > i).and.(k <= m)) then
|
|
|
|
|
l2 = l2 + 1
|
|
|
|
|
uaspk(l2) = trw%aspk(ktrw)
|
|
|
|
|
uia1(l2) = k
|
|
|
|
|
end if
|
|
|
|
|
ktrw = ktrw + 1
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
end if
|
|
|
|
|
|
|
|
|
|
!!$
|
|
|
|
|
|
|
|
|
|
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
|
|
|
|
|
!
|
|
|
|
|
! 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) < 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 = zone/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
|
|
|
|
|
|
|
|
|
|
do i = ma+1, m
|
|
|
|
|
d(i) = zzero
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
if (toupper(b%fida)=='CSR') then
|
|
|
|
|
|
|
|
|
|
do j = b%ia2(i-ma), b%ia2(i-ma+1) - 1
|
|
|
|
|
k = b%ia1(j)
|
|
|
|
|
if ((k < i).and.(k >= 1)) then
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|
|
l1 = l1 + 1
|
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|
|
laspk(l1) = b%aspk(j)
|
|
|
|
|
lia1(l1) = k
|
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|
|
|
else if (k == i) then
|
|
|
|
|
d(i) = b%aspk(j)
|
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|
|
|
else if ((k > i).and.(k <= m)) then
|
|
|
|
|
l2 = l2 + 1
|
|
|
|
|
uaspk(l2) = b%aspk(j)
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|
|
|
uia1(l2) = k
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end if
|
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|
enddo
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|
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else
|
|
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|
|
|
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|
|
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if ((mod((i-ma),nrb) == 1).or.(nrb==1)) then
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|
|
irb = min(m-i+1,nrb)
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|
|
|
|
call psb_sp_getblk(i-ma,b,trw,info,lrw=i-ma+irb-1)
|
|
|
|
|
if(info.ne.0) then
|
|
|
|
|
info=4010
|
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|
|
|
ch_err='psb_sp_getblk'
|
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|
|
call psb_errpush(info,name,a_err=ch_err)
|
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|
|
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 < i).and.(k >= 1)) then
|
|
|
|
|
l1 = l1 + 1
|
|
|
|
|
laspk(l1) = trw%aspk(ktrw)
|
|
|
|
|
lia1(l1) = k
|
|
|
|
|
else if (k == i) then
|
|
|
|
|
d(i) = trw%aspk(ktrw)
|
|
|
|
|
else if ((k > i).and.(k <= m)) then
|
|
|
|
|
l2 = l2 + 1
|
|
|
|
|
uaspk(l2) = trw%aspk(ktrw)
|
|
|
|
|
uia1(l2) = k
|
|
|
|
|
end if
|
|
|
|
|
ktrw = ktrw + 1
|
|
|
|
|
enddo
|
|
|
|
|
|
|
|
|
|
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)
|
|
|
|
|
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) < epstol) then
|
|
|
|
|
!
|
|
|
|
|
! Pivot too small: unstable factorization
|
|
|
|
|
!
|
|
|
|
|
int_err(1) = i
|
|
|
|
|
write(ch_err,'(g20.10)') abs(dia)
|
|
|
|
|
info = 2
|
|
|
|
|
call psb_errpush(info,name,i_err=int_err,a_err=ch_err)
|
|
|
|
|
goto 9999
|
|
|
|
|
else
|
|
|
|
|
dia = zone/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 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 psb_zilu_fctint
|
|
|
|
|
end subroutine psb_zilu_fct
|
