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psblas3/prec/impl/psb_dilu_fct.f90

442 lines
12 KiB
Fortran

!
! Parallel Sparse BLAS version 3.5
! (C) Copyright 2006-2018
! Salvatore Filippone
! Alfredo Buttari
!
! 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 PSBLAS 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 PSBLAS 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 psb_dilu_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(psb_ipk_), intent(out) :: info
! .. Array Arguments ..
type(psb_dspmat_type),intent(in) :: a
type(psb_d_csr_sparse_mat),intent(inout) :: l,u
type(psb_dspmat_type),intent(in), optional, target :: blck
real(psb_dpk_), intent(inout) :: d(:)
! .. Local Scalars ..
integer(psb_ipk_) :: l1,l2,m,err_act
type(psb_dspmat_type), pointer :: blck_
character(len=20) :: name, ch_err
name='psb_ilu_fct'
info = psb_success_
call psb_erractionsave(err_act)
! .. Executable Statements ..
!
if (present(blck)) then
blck_ => blck
else
allocate(blck_,stat=info)
if (info /= psb_success_) then
call psb_errpush(psb_err_from_subroutine_,name,a_err='Allocate')
goto 9999
end if
call blck_%csall(izero,izero,info,ione)
endif
call psb_dilu_fctint(m,a%get_nrows(),a,blck_%get_nrows(),blck_,&
& d,l%val,l%ja,l%irp,u%val,u%ja,u%irp,l1,l2,info)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='psb_dilu_fctint'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
call l%set_triangle()
call l%set_lower()
call l%set_unit()
call u%set_triangle()
call u%set_upper()
call u%set_unit()
call l%set_nrows(m)
call l%set_ncols(m)
call u%set_nrows(m)
call u%set_ncols(m)
if (present(blck)) then
blck_ => null()
else
call blck_%free()
if(info /= psb_success_) then
info=psb_err_from_subroutine_
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 == psb_act_abort_) then
call psb_error()
return
end if
return
contains
subroutine psb_dilu_fctint(m,ma,a,mb,b,&
& d,laspk,lia1,lia2,uaspk,uia1,uia2,l1,l2,info)
use psb_mat_mod
implicit none
type(psb_dspmat_type), target :: a
type(psb_dspmat_type), target :: b
integer(psb_ipk_) :: m,ma,mb,l1,l2,info
integer(psb_ipk_), dimension(:) :: lia1,lia2,uia1,uia2
real(psb_dpk_), dimension(:) :: laspk,uaspk,d
integer(psb_ipk_) :: i,j,k,l,low1,low2,kk,jj,ll, irb, ktrw,err_act, nz
real(psb_dpk_) :: dia,temp
integer(psb_ipk_), parameter :: nrb=60
type(psb_d_coo_sparse_mat) :: trw
integer(psb_ipk_) :: int_err(5)
character(len=20) :: name, ch_err
name='psb_dilu_fctint'
if(psb_get_errstatus() /= 0) return
info=psb_success_
call psb_erractionsave(err_act)
call trw%allocate(izero,izero,ione)
if(info /= psb_success_) then
info=psb_err_from_subroutine_
ch_err='psb_sp_all'
call psb_errpush(info,name,a_err=ch_err)
goto 9999
end if
lia2(1) = 1
uia2(1) = 1
l1=0
l2=0
m = ma+mb
do i = 1, ma
d(i) = dzero
!
!
select type(aa => a%a)
type is (psb_d_csr_sparse_mat)
do j = aa%irp(i), aa%irp(i+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,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 (dabs(dia) < d_epstol) then
!
! Pivot too small: unstable factorization
!
info = psb_err_pivot_too_small_
int_err(1) = i
write(ch_err,'(g20.10)') 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(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) = dzero
select type(aa => b%a)
type is (psb_d_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'
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 (dabs(dia) < d_epstol) then
!
! Pivot too small: unstable factorization
!
int_err(1) = i
write(ch_err,'(g20.10)') dia
info = psb_err_pivot_too_small_
call psb_errpush(info,name,i_err=int_err,a_err=ch_err)
goto 9999
else
dia = done/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_dilu_fctint
end subroutine psb_dilu_fct