You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
496 lines
15 KiB
Fortran
496 lines
15 KiB
Fortran
!
|
|
!
|
|
! AMG-AINV: Approximate Inverse plugin for
|
|
! AMG4PSBLAS version 1.0
|
|
!
|
|
! (C) Copyright 2020
|
|
!
|
|
! Salvatore Filippone University of Rome Tor Vergata
|
|
!
|
|
! 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 AMG4PSBLAS 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 AMG4PSBLAS 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_d_invk_bld(a,fill1, fill2,lmat,d,umat,desc,info,blck)
|
|
|
|
use psb_base_mod
|
|
use psb_d_invk_fact_mod, psb_protect_name => psb_d_invk_bld
|
|
use psb_d_ilu_fact_mod
|
|
implicit none
|
|
|
|
! Arguments
|
|
type(psb_dspmat_type), intent(in), target :: a
|
|
integer(psb_ipk_), intent(in) :: fill1, fill2
|
|
type(psb_dspmat_type), intent(inout) :: lmat, umat
|
|
real(psb_dpk_), allocatable :: d(:)
|
|
Type(psb_desc_type), Intent(inout) :: desc
|
|
integer(psb_ipk_), intent(out) :: info
|
|
type(psb_dspmat_type), intent(in), optional :: blck
|
|
!
|
|
integer(psb_ipk_) :: i, nztota, err_act, n_row, nrow_a, n_col
|
|
type(psb_dspmat_type) :: atmp
|
|
real(psb_dpk_), allocatable :: pq(:), pd(:)
|
|
integer(psb_ipk_), allocatable :: uplevs(:)
|
|
integer(psb_ipk_) :: debug_level, debug_unit
|
|
type(psb_ctxt_type) :: ctxt
|
|
integer(psb_ipk_) :: np,me
|
|
integer(psb_ipk_) :: nzrmax
|
|
character(len=20) :: name, ch_err
|
|
|
|
|
|
info = psb_success_
|
|
name='psb_dinvk_bld'
|
|
call psb_erractionsave(err_act)
|
|
if (psb_errstatus_fatal()) then
|
|
info = psb_err_internal_error_; goto 9999
|
|
end if
|
|
debug_unit = psb_get_debug_unit()
|
|
debug_level = psb_get_debug_level()
|
|
ctxt = psb_cd_get_context(desc)
|
|
call psb_info(ctxt, me, np)
|
|
if (debug_level >= psb_debug_outer_) &
|
|
& write(debug_unit,*) me,' ',trim(name),' start'
|
|
|
|
!
|
|
! Check the memory available to hold the incomplete L and U factors
|
|
! and allocate it if needed
|
|
!
|
|
nrow_a = a%get_nrows()
|
|
nztota = a%get_nzeros()
|
|
|
|
if (present(blck)) then
|
|
nztota = nztota + blck%get_nzeros()
|
|
end if
|
|
if (debug_level >= psb_debug_outer_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ': out get_nnzeros',nrow_a,nztota,&
|
|
& a%get_nrows(),a%get_ncols(),a%get_nzeros()
|
|
|
|
|
|
n_row = psb_cd_get_local_rows(desc)
|
|
n_col = psb_cd_get_local_cols(desc)
|
|
allocate(pd(n_row),stat=info)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='Allocate')
|
|
goto 9999
|
|
end if
|
|
|
|
|
|
call lmat%allocate(n_row,n_row,info,nz=nztota)
|
|
if (info == psb_success_) call umat%allocate(n_row,n_row,info,nz=nztota)
|
|
|
|
|
|
call psb_iluk_fact(fill1,psb_ilu_n_,a,lmat,umat,pd,info,blck=blck)
|
|
!,uplevs=uplevs)
|
|
!call psb_diluk_fact(fill1,psb_ilu_n_,a,lmat,umat,pd,info,blck=blck)
|
|
|
|
if (info == psb_success_) call atmp%allocate(n_row,n_row,info,nz=nztota)
|
|
if(info/=0) then
|
|
info=psb_err_from_subroutine_
|
|
ch_err='psb_sp_all'
|
|
call psb_errpush(info,name,a_err=ch_err)
|
|
goto 9999
|
|
end if
|
|
|
|
|
|
!
|
|
! Compute the aprox U^-1 and L^-1
|
|
!
|
|
call psb_sparse_invk(n_row,umat,atmp,fill2,info)
|
|
if (info == psb_success_) call psb_move_alloc(atmp,umat,info)
|
|
if (info == psb_success_) call lmat%transp()
|
|
if (info == psb_success_) call psb_sparse_invk(n_row,lmat,atmp,fill2,info)
|
|
if (info == psb_success_) call psb_move_alloc(atmp,lmat,info)
|
|
if (info == psb_success_) call lmat%transp()
|
|
! Done. Hopefully....
|
|
|
|
if (info /= psb_success_) then
|
|
info = psb_err_internal_error_
|
|
call psb_errpush(info,name,a_err='invt')
|
|
goto 9999
|
|
end if
|
|
|
|
call psb_move_alloc(pd,d,info)
|
|
call lmat%set_asb()
|
|
call lmat%trim()
|
|
call umat%set_asb()
|
|
call umat%trim()
|
|
|
|
if (debug_level >= psb_debug_outer_) &
|
|
& write(debug_unit,*) me,' ',trim(name),' end'
|
|
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
return
|
|
end subroutine psb_d_invk_bld
|
|
|
|
subroutine psb_dsparse_invk(n,a,z,fill_in,info,inlevs)
|
|
|
|
use psb_base_mod
|
|
use psb_d_invk_fact_mod, psb_protect_name => psb_dsparse_invk
|
|
|
|
integer(psb_ipk_), intent(in) :: n
|
|
type(psb_dspmat_type), intent(in) :: a
|
|
type(psb_dspmat_type), intent(inout) :: z
|
|
integer(psb_ipk_), intent(in) :: fill_in
|
|
integer(psb_ipk_), intent(out) :: info
|
|
integer(psb_ipk_), intent(in), optional :: inlevs(:)
|
|
!
|
|
integer(psb_ipk_) :: i,j,k, err_act, nz, nzra, nzrz, ipz1,ipz2, nzz, ip1, ip2, l2
|
|
integer(psb_ipk_), allocatable :: ia(:), ja(:), iz(:), jz(:)
|
|
real(psb_dpk_), allocatable :: zw(:), val(:), valz(:)
|
|
integer(psb_ipk_), allocatable :: uplevs(:), rowlevs(:), idxs(:)
|
|
real(psb_dpk_), allocatable :: row(:)
|
|
type(psb_d_coo_sparse_mat) :: trw
|
|
type(psb_d_csr_sparse_mat) :: acsr, zcsr
|
|
integer(psb_ipk_) :: ktrw, nidx
|
|
type(psb_i_heap) :: heap
|
|
|
|
real(psb_dpk_) :: alpha
|
|
character(len=20) :: name='psb_sp_invk'
|
|
|
|
info = psb_success_
|
|
call psb_erractionsave(err_act)
|
|
if (psb_errstatus_fatal()) then
|
|
info = psb_err_internal_error_; goto 9999
|
|
end if
|
|
|
|
if (.not.(a%is_triangle().and.a%is_unit().and.a%is_upper())) then
|
|
write(psb_err_unit,*) 'Wrong A '
|
|
info = psb_err_internal_error_
|
|
call psb_errpush(psb_err_internal_error_,name,a_err='wrong A')
|
|
goto 9999
|
|
end if
|
|
call a%cp_to(acsr)
|
|
call trw%allocate(izero,izero,ione)
|
|
if (info == psb_success_) allocate(zw(n),iz(n),valz(n),&
|
|
& row(n),rowlevs(n),stat=info)
|
|
if (info /= psb_success_) then
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='Allocate')
|
|
goto 9999
|
|
end if
|
|
|
|
allocate(uplevs(acsr%get_nzeros()),stat=info)
|
|
if (info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
call psb_errpush(info,name,a_err='Allocate')
|
|
goto 9999
|
|
end if
|
|
uplevs(:) = 0
|
|
row(:) = dzero
|
|
rowlevs(:) = -(n+1)
|
|
|
|
call zcsr%allocate(n,n,n*fill_in)
|
|
call zcsr%set_triangle()
|
|
call zcsr%set_unit(.false.)
|
|
call zcsr%set_upper()
|
|
call psb_ensure_size(n+1, idxs, info)
|
|
|
|
|
|
!
|
|
!
|
|
zcsr%irp(1) = 1
|
|
nzz = 0
|
|
|
|
l2 = 0
|
|
outer: do i = 1, n-1
|
|
! ZW = e_i
|
|
call psb_invk_copyin(i,n,acsr,ione,n,row,rowlevs,heap,ktrw,trw,info,&
|
|
& sign=-done,inlevs=inlevs)
|
|
row(i) = done
|
|
rowlevs(i) = 0
|
|
|
|
! Update loop
|
|
call psb_invk_inv(fill_in,i,row,rowlevs,heap,&
|
|
& acsr%ja,acsr%irp,acsr%val,uplevs,nidx,idxs,info)
|
|
|
|
call psb_invk_copyout(fill_in,i,n,row,rowlevs,nidx,idxs,&
|
|
& l2,zcsr%ja,zcsr%irp,zcsr%val,info)
|
|
|
|
nzz = l2
|
|
end do outer
|
|
if (info /= psb_success_) then
|
|
info = psb_err_internal_error_
|
|
call psb_errpush(info,name,a_err='mainloop')
|
|
goto 9999
|
|
end if
|
|
ipz1 = nzz+1
|
|
call psb_ensure_size(ipz1,zcsr%val,info)
|
|
call psb_ensure_size(ipz1,zcsr%ja,info)
|
|
zcsr%val(ipz1) = done
|
|
zcsr%ja(ipz1) = n
|
|
zcsr%irp(n+1) = ipz1+1
|
|
call zcsr%set_sorted()
|
|
call z%mv_from(zcsr)
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
return
|
|
end subroutine psb_dsparse_invk
|
|
|
|
subroutine psb_d_invk_copyin(i,m,a,jmin,jmax,row,rowlevs,heap,ktrw,trw,info,sign,inlevs)
|
|
|
|
use psb_base_mod
|
|
use psb_d_invk_fact_mod, psb_protect_name => psb_d_invk_copyin
|
|
|
|
implicit none
|
|
|
|
! Arguments
|
|
type(psb_d_csr_sparse_mat), intent(in) :: a
|
|
type(psb_d_coo_sparse_mat), intent(inout) :: trw
|
|
integer(psb_ipk_), intent(in) :: i,m,jmin,jmax
|
|
integer(psb_ipk_), intent(inout) :: ktrw,info
|
|
integer(psb_ipk_), intent(inout) :: rowlevs(:)
|
|
real(psb_dpk_), intent(inout) :: row(:)
|
|
type(psb_i_heap), intent(inout) :: heap
|
|
real(psb_dpk_), optional, intent(in) :: sign
|
|
integer(psb_ipk_), intent(in), optional :: inlevs(:)
|
|
|
|
! Local variables
|
|
integer(psb_ipk_) :: k,j,irb,err_act, nz
|
|
integer(psb_ipk_), parameter :: nrb=16
|
|
real(psb_dpk_) :: sign_
|
|
character(len=20), parameter :: name='invk_copyin'
|
|
character(len=20) :: ch_err
|
|
|
|
info = psb_success_
|
|
call psb_erractionsave(err_act)
|
|
if (psb_errstatus_fatal()) then
|
|
info = psb_err_internal_error_; goto 9999
|
|
end if
|
|
|
|
call heap%init(info)
|
|
if (info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
call psb_errpush(info,name,a_err='psb_init_heap')
|
|
goto 9999
|
|
end if
|
|
|
|
if (present(sign)) then
|
|
sign_ = sign
|
|
else
|
|
sign_ = done
|
|
end if
|
|
|
|
|
|
!
|
|
! Take a fast shortcut if the matrix is stored in CSR format
|
|
!
|
|
if (present(inlevs)) then
|
|
do j = a%irp(i), a%irp(i+1) - 1
|
|
k = a%ja(j)
|
|
if ((jmin<=k).and.(k<=jmax)) then
|
|
row(k) = sign_ * a%val(j)
|
|
rowlevs(k) = inlevs(j)
|
|
call heap%insert(k,info)
|
|
end if
|
|
end do
|
|
else
|
|
do j = a%irp(i), a%irp(i+1) - 1
|
|
k = a%ja(j)
|
|
if ((jmin<=k).and.(k<=jmax)) then
|
|
row(k) = sign_ * a%val(j)
|
|
rowlevs(k) = 0
|
|
call heap%insert(k,info)
|
|
end if
|
|
end do
|
|
end if
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
return
|
|
end subroutine psb_d_invk_copyin
|
|
|
|
|
|
subroutine psb_d_invk_copyout(fill_in,i,m,row,rowlevs,nidx,idxs,&
|
|
& l2,uia1,uia2,uaspk,info)
|
|
|
|
use psb_base_mod
|
|
use psb_d_invk_fact_mod, psb_protect_name => psb_d_invk_copyout
|
|
|
|
implicit none
|
|
|
|
! Arguments
|
|
integer(psb_ipk_), intent(in) :: fill_in, i, m, nidx
|
|
integer(psb_ipk_), intent(inout) :: l2, info
|
|
integer(psb_ipk_), intent(inout) :: rowlevs(:), idxs(:)
|
|
integer(psb_ipk_), allocatable, intent(inout) :: uia1(:), uia2(:)
|
|
real(psb_dpk_), allocatable, intent(inout) :: uaspk(:)
|
|
real(psb_dpk_), intent(inout) :: row(:)
|
|
|
|
! Local variables
|
|
integer(psb_ipk_) :: j,isz,err_act,int_err(5),idxp
|
|
character(len=20), parameter :: name='psb_diluk_factint'
|
|
character(len=20) :: ch_err
|
|
|
|
info = psb_success_
|
|
call psb_erractionsave(err_act)
|
|
if (psb_errstatus_fatal()) then
|
|
info = psb_err_internal_error_; goto 9999
|
|
end if
|
|
|
|
do idxp=1,nidx
|
|
|
|
j = idxs(idxp)
|
|
|
|
if (j>=i) then
|
|
!
|
|
! Copy the upper part of the row
|
|
!
|
|
if (rowlevs(j) <= fill_in) then
|
|
l2 = l2 + 1
|
|
if (size(uaspk) < l2) then
|
|
!
|
|
! Figure out a good reallocation size!
|
|
!
|
|
isz = max(int(1.2*l2),l2+100)
|
|
call psb_realloc(isz,uaspk,info)
|
|
if (info == psb_success_) call psb_realloc(isz,uia1,info)
|
|
if (info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
call psb_errpush(info,name,a_err='Allocate')
|
|
goto 9999
|
|
end if
|
|
end if
|
|
uia1(l2) = j
|
|
uaspk(l2) = row(j)
|
|
end if
|
|
!
|
|
! Re-initialize row(j) and rowlevs(j)
|
|
!
|
|
row(j) = dzero
|
|
rowlevs(j) = -(m+1)
|
|
end if
|
|
end do
|
|
|
|
uia2(i+1) = l2 + 1
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
return
|
|
end subroutine psb_d_invk_copyout
|
|
|
|
subroutine psb_dinvk_inv(fill_in,i,row,rowlevs,heap,ja,irp,val,uplevs,&
|
|
& nidx,idxs,info)
|
|
|
|
use psb_base_mod
|
|
use psb_d_invk_fact_mod, psb_protect_name => psb_dinvk_inv
|
|
|
|
implicit none
|
|
|
|
! Arguments
|
|
type(psb_i_heap), intent(inout) :: heap
|
|
integer(psb_ipk_), intent(in) :: i, fill_in
|
|
integer(psb_ipk_), intent(inout) :: nidx,info
|
|
integer(psb_ipk_), intent(inout) :: rowlevs(:)
|
|
integer(psb_ipk_), allocatable, intent(inout) :: idxs(:)
|
|
integer(psb_ipk_), intent(in) :: ja(:),irp(:),uplevs(:)
|
|
real(psb_dpk_), intent(in) :: val(:)
|
|
real(psb_dpk_), intent(inout) :: row(:)
|
|
|
|
! Local variables
|
|
integer(psb_ipk_) :: k,j,lrwk,jj,lastk, iret
|
|
real(psb_dpk_) :: rwk
|
|
|
|
|
|
info = psb_success_
|
|
|
|
call psb_ensure_size(200, idxs, info)
|
|
if (info /= psb_success_) return
|
|
nidx = 1
|
|
idxs(1) = i
|
|
lastk = i
|
|
|
|
!
|
|
! Do while there are indices to be processed
|
|
!
|
|
do
|
|
! Beware: (iret < 0) means that the heap is empty, not an error.
|
|
call heap%get_first(k,iret)
|
|
if (iret < 0) then
|
|
!!$ write(psb_err_unit,*) 'IINVK: ',i,' returning at ',lastk
|
|
return
|
|
end if
|
|
|
|
!
|
|
! Just in case an index has been put on the heap more than once.
|
|
!
|
|
if (k == lastk) cycle
|
|
|
|
lastk = k
|
|
nidx = nidx + 1
|
|
if (nidx>size(idxs)) then
|
|
call psb_realloc(nidx+psb_heap_resize,idxs,info)
|
|
if (info /= psb_success_) return
|
|
end if
|
|
idxs(nidx) = k
|
|
|
|
if ((row(k) /= dzero).and.(rowlevs(k) <= fill_in)) then
|
|
!
|
|
! Note: since U is scaled while copying it out (see iluk_copyout),
|
|
! we can use rwk in the update below
|
|
!
|
|
rwk = row(k)
|
|
lrwk = rowlevs(k)
|
|
|
|
do jj=irp(k),irp(k+1)-1
|
|
j = ja(jj)
|
|
if (j<=k) then
|
|
info = -i
|
|
return
|
|
endif
|
|
!
|
|
! Insert the index into the heap for further processing.
|
|
! The fill levels are initialized to a negative value. If we find
|
|
! one, it means that it is an as yet untouched index, so we need
|
|
! to insert it; otherwise it is already on the heap, there is no
|
|
! need to insert it more than once.
|
|
!
|
|
if (rowlevs(j)<0) then
|
|
call heap%insert(j,info)
|
|
if (info /= psb_success_) return
|
|
rowlevs(j) = abs(rowlevs(j))
|
|
end if
|
|
!
|
|
! Update row(j) and the corresponding fill level
|
|
!
|
|
row(j) = row(j) - rwk * val(jj)
|
|
rowlevs(j) = min(rowlevs(j),lrwk+uplevs(jj)+1)
|
|
end do
|
|
|
|
end if
|
|
end do
|
|
|
|
end subroutine psb_dinvk_inv
|