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506 lines
15 KiB
Fortran
506 lines
15 KiB
Fortran
!!$
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!!$
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!!$ MD2P4
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!!$ Multilevel Domain Decomposition Parallel Preconditioner Package for PSBLAS
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!!$ for
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!!$ Parallel Sparse BLAS v2.0
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!!$ (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.
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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 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
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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 mld_ziluk_fct(fill_in,ialg,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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use psb_base_mod
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use mld_prec_mod, mld_protect_name => mld_ziluk_fct
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implicit none
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! .. Scalar Arguments ..
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integer, intent(in) :: fill_in, ialg
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integer, intent(out) :: info
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! .. Array Arguments ..
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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 ..
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complex(kind(1.d0)) :: dia, temp
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integer :: i, j, jj, k, kk, l1, l2, ll, low1, low2,m,ma,err_act
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type(psb_zspmat_type), pointer :: blck_
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character(len=20) :: name, ch_err
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logical, parameter :: debug=.false.
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name='mld_diluk_fct'
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info = 0
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call psb_erractionsave(err_act)
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! .. Executable Statements ..
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!
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if (debug) write(0,*) 'mld_diluk_fct: start'
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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 /= 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_sp_all(0,0,blck_,1,info)
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if (info /= 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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endif
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if (debug) write(0,*) 'mld_diluk_fct: calling fctint'
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call mld_ziluk_fctint(fill_in,ialg,m,a%m,a,blck_%m,blck_,&
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& d,l%aspk,l%ia1,l%ia2,u%aspk,u%ia1,u%ia2,l1,l2,info)
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if (info /= 0) then
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info=4010
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ch_err='mld_diluk_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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l%infoa(1) = l1
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l%fida = 'CSR'
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l%descra = 'TLU'
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u%infoa(1) = l2
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u%fida = 'CSR'
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u%descra = 'TUU'
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l%m = m
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l%k = m
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u%m = m
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u%k = 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 psb_sp_free(blck_,info)
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if (info /= 0) then
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info=4010
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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.eq.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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contains
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subroutine mld_ziluk_fctint(fill_in,ialg,m,ma,a,mb,b,&
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& d,laspk,lia1,lia2,uaspk,uia1,uia2,l1,l2,info)
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use psb_base_mod
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implicit none
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integer, intent(in) :: fill_in, ialg
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type(psb_zspmat_type) :: a,b
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integer :: m,ma,mb,l1,l2,info
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integer, dimension(:), allocatable :: lia1,lia2,uia1,uia2
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complex(kind(1.d0)), dimension(:), allocatable :: laspk,uaspk
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complex(kind(1.d0)), dimension(:) :: d
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integer :: i,j,k,l,low1,low2,kk,jj,ll, ktrw,err_act, &
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& isz,minj,maxj,lrwk,nidx
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complex(kind(1.d0)) :: dia,temp,rwk
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integer, allocatable :: uplevs(:), rowlevs(:),idxs(:)
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complex(kind(1.d0)), allocatable :: row(:)
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type(psb_int_heap) :: heap
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logical,parameter :: debug=.false.
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type(psb_zspmat_type) :: trw
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integer :: int_err(5)
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character(len=20), parameter :: name='mld_diluk_fctint'
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character(len=20) :: ch_err
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if (psb_get_errstatus() /= 0) return
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info=0
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call psb_erractionsave(err_act)
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m = ma+mb
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!
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! Temp buffer for copyin function.
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!
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if (debug) write(0,*)'LUINT Allocating TRW'
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call psb_sp_all(0,0,trw,1,info)
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if (info==0) call psb_ensure_size(m+1,lia2,info)
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if (info==0) call psb_ensure_size(m+1,uia2,info)
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if (info /= 0) then
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info=4010
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call psb_errpush(info,name,a_err='psb_sp_all')
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goto 9999
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end if
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if (debug) write(0,*)'LUINT Done Allocating TRW'
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l1=0
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l2=0
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lia2(1) = 1
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uia2(1) = 1
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if (debug) write(0,*)'In DCSRLU Begin cycle',m,ma,mb
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! Initial allocation
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allocate(uplevs(size(uaspk)),rowlevs(m),row(m),stat=info)
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if (info /= 0) then
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info=4010
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call psb_errpush(info,name,a_err='Allocate')
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goto 9999
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end if
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uplevs(:) = m+1
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row(:) = zzero
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rowlevs(:) = -(m+1)
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do i = 1, m
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if (debug.and.(mod(i,500)==1)) write(0,*)'LUINT: Loop index ',i,ma
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!
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! At each iteration of the loop we keep the indices affected in a heap
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! initialized and filled in the copyin function, and updated during
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! the elimination. The heap is ideal because at each step we need the
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! lowest index, but we also need to insert new items, and the heap allows
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! to do both in log time.
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!
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d(i) = zzero
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if (i<=ma) then
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call iluk_copyin(i,ma,a,m,row,rowlevs,heap,ktrw,trw)
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else
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call iluk_copyin(i-ma,mb,b,m,row,rowlevs,heap,ktrw,trw)
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endif
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if (debug) write(0,*)'LUINT: input Copy done'
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! Do an elimination step on current row
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! Turns out we only need to keep track of levels
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! for the upper triangle, hence no lowlevs variable.
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!
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call iluk_fact(fill_in,i,m,row,rowlevs,heap,&
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& d,uia1,uia2,uaspk,uplevs,nidx,idxs)
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!
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! Copy the row into the lower/diag/upper structures.
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!
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call iluk_copyout(fill_in,ialg,i,m,row,rowlevs,nidx,idxs,&
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& l1,l2,lia1,lia2,laspk,d,uia1,uia2,uaspk,uplevs)
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end do
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!
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! And we're done......hopefully :-)
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!
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deallocate(uplevs,rowlevs,row,stat=info)
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if (info /= 0) then
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info=4010
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call psb_errpush(info,name,a_err='Deallocate')
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goto 9999
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end if
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if (info == 0) call psb_sp_free(trw,info)
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if (info /= 0) then
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info=4010
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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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if (debug) write(0,*)'Leaving ilu_fct'
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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.eq.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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end subroutine mld_ziluk_fctint
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subroutine iluk_copyin(i,m,a,jmax,row,rowlevs,heap,ktrw,trw)
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use psb_base_mod
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implicit none
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type(psb_zspmat_type) :: a,trw
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integer :: i, rowlevs(:),m,ktrw,jmax
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complex(kind(1.d0)) :: row(:)
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type(psb_int_heap) :: heap
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integer :: k,j,info,irb
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integer, parameter :: nrb=16
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character(len=20), parameter :: name='mld_diluk_fctint'
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character(len=20) :: ch_err
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if (psb_get_errstatus() /= 0) return
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info=0
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call psb_erractionsave(err_act)
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!
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! Here we take a fast shortcut if possible, otherwise
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! use spgtblk, slower but able (in principle) to handle
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! anything.
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!
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if (toupper(a%fida)=='CSR') then
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call psb_init_heap(heap,info)
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do j = a%ia2(i), a%ia2(i+1) - 1
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k = a%ia1(j)
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if ((1<=k).and.(k<=jmax)) then
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row(k) = a%aspk(j)
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rowlevs(k) = 0
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call psb_insert_heap(k,heap,info)
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end if
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end do
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else
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if ((mod(i,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,a,trw,info,lrw=i+irb-1)
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if (info /= 0) then
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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
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end if
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ktrw=1
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end if
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do
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if (ktrw > trw%infoa(psb_nnz_)) exit
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if (trw%ia1(ktrw) > i) exit
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k = trw%ia2(ktrw)
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if ((1<=k).and.(k<=jmax)) then
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row(k) = trw%aspk(ktrw)
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rowlevs(k) = 0
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call psb_insert_heap(k,heap,info)
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end if
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ktrw = ktrw + 1
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enddo
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end if
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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.eq.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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end subroutine iluk_copyin
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subroutine iluk_fact(fill_in,i,m,row,rowlevs,heap,d,uia1,uia2,uaspk,uplevs,nidx,idxs)
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use psb_base_mod
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implicit none
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type(psb_zspmat_type) :: a
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type(psb_int_heap) :: heap
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integer :: i,m, rowlevs(:),minj,maxj,fill_in,nidx
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integer, allocatable :: idxs(:)
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integer :: uia1(:),uia2(:),uplevs(:)
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complex(kind(1.d0)) :: row(:), uaspk(:),d(:)
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integer :: k,j,lrwk,jj,info, lastk
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complex(kind(1.d0)) :: rwk
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! Do an elimination step on current row
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! Turns out we only need to keep track of levels
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! for the upper triangle.
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if (.not.allocated(idxs)) then
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allocate(idxs(200),stat=info)
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endif
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nidx = 0
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lastk = -1
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!
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! Do while there are indices to be processed
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!
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do
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call psb_heap_get_first(k,heap,info)
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if (info < 0) exit
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!
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! Just in case an index has been put on the heap more than once.
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!
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if (k == lastk) cycle
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lastk = k
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nidx = nidx + 1
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if (nidx>size(idxs)) then
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call psb_realloc(nidx+psb_heap_resize,idxs,info)
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end if
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idxs(nidx) = k
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if ((row(k) /= zzero).and.(rowlevs(k) <= fill_in).and.(k<i)) then
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!
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! Note: since U is scaled while copying out, we can use rwk
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! in the update below
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!
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rwk = row(k)
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row(k) = row(k) * d(k) ! d(k) == 1/a(k,k)
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lrwk = rowlevs(k)
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do jj=uia2(k),uia2(k+1)-1
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j = uia1(jj)
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if (j<=k) then
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write(0,*) 'Error in accessing upper mat???',j,k,jj
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endif
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!
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! Insert the index for further processing.
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! The levels are initialized to a negative value; if we find one,
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! it means that it's an as yet untouched index, so we need to
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! insert it, otherwise it's already on the heap, no need to
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! insert more than once.
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!
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if (rowlevs(j)<0) then
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call psb_insert_heap(j,heap,info)
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rowlevs(j) = abs(rowlevs(j))
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end if
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row(j) = row(j) - rwk * uaspk(jj)
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rowlevs(j) = min(rowlevs(j),lrwk+uplevs(jj)+1)
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end do
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end if
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end do
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end subroutine iluk_fact
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subroutine iluk_copyout(fill_in,ialg,i,m,row,rowlevs,nidx,idxs,&
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& l1,l2,lia1,lia2,laspk,d,uia1,uia2,uaspk,uplevs)
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use psb_base_mod
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implicit none
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integer :: fill_in,ialg,i, rowlevs(:),minj,maxj,l1,l2,m,nidx,idxs(:)
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integer, allocatable :: uia1(:),uia2(:), lia1(:),lia2(:),uplevs(:)
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complex(kind(1.d0)),allocatable :: uaspk(:), laspk(:)
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complex(kind(1.d0)) :: row(:), d(:)
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integer :: k,j,isz,info,err_act,int_err(5),idxp
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character(len=20), parameter :: name='mld_diluk_fctint'
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character(len=20) :: ch_err
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if (psb_get_errstatus() /= 0) return
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info=0
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call psb_erractionsave(err_act)
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!
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! Copy the row into the lower/diag/upper structures.
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!
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! Lower part
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d(i) = zzero
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do idxp=1,nidx
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j = idxs(idxp)
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if (j<i) then
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if (rowlevs(j) <= fill_in) then
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l1 = l1 + 1
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if (size(laspk) < l1) then
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! Figure out a good reallocation size!!
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isz = (max((l1/i)*m,int(1.2*l1),l1+100))
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call psb_realloc(isz,laspk,info)
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if (info == 0) call psb_realloc(isz,lia1,info)
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if (info /= 0) then
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info=4010
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call psb_errpush(info,name,a_err='Allocate')
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goto 9999
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end if
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end if
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lia1(l1) = j
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laspk(l1) = row(j)
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else if (ialg == mld_milu_n_) then
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d(i) = d(i) + row(j)
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end if
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row(j) = zzero
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rowlevs(j) = -(m+1)
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else if (j==i) then
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d(i) = d(i) + row(i)
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row(i) = zzero
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rowlevs(i) = -(m+1)
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else if (j>i) then
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! Upper part
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if (rowlevs(j) <= fill_in) then
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l2 = l2 + 1
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if (size(uaspk) < l2) then
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! Figure out a good reallocation size!!
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isz = max((l2/i)*m,int(1.2*l2),l2+100)
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call psb_realloc(isz,uaspk,info)
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if (info == 0) call psb_realloc(isz,uia1,info)
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if (info == 0) call psb_realloc(isz,uplevs,info,pad=(m+1))
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if (info /= 0) then
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info=4010
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call psb_errpush(info,name,a_err='Allocate')
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goto 9999
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end if
|
|
end if
|
|
uia1(l2) = j
|
|
uaspk(l2) = row(j)
|
|
uplevs(l2) = rowlevs(j)
|
|
else if (ialg == mld_milu_n_) then
|
|
d(i) = d(i) + row(j)
|
|
end if
|
|
row(j) = zzero
|
|
rowlevs(j) = -(m+1)
|
|
end if
|
|
end do
|
|
|
|
lia2(i+1) = l1 + 1
|
|
uia2(i+1) = l2 + 1
|
|
|
|
if (abs(d(i)) < epstol) then
|
|
!
|
|
! Pivot too small: unstable factorization
|
|
!
|
|
info = 2
|
|
int_err(1) = i
|
|
write(ch_err,'(g20.10)') d(i)
|
|
call psb_errpush(info,name,i_err=int_err,a_err=ch_err)
|
|
goto 9999
|
|
else
|
|
d(i) = zone/d(i)
|
|
end if
|
|
! Now scale upper part
|
|
do j=uia2(i), uia2(i+1)-1
|
|
uaspk(j) = d(i)*uaspk(j)
|
|
end do
|
|
|
|
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
|
|
|
|
end subroutine iluk_copyout
|
|
|
|
|
|
end subroutine mld_ziluk_fct
|