!!$ !!$ !!$ MLD2P4 version 2.0 !!$ MultiLevel Domain Decomposition Parallel Preconditioners Package !!$ based on PSBLAS (Parallel Sparse BLAS version 3.0) !!$ !!$ (C) Copyright 2008,2009, 2010 !!$ !!$ Salvatore Filippone University of Rome Tor Vergata !!$ Alfredo Buttari University of Rome Tor Vergata !!$ Pasqua D'Ambra ICAR-CNR, Naples !!$ Daniela di Serafino Second University of Naples !!$ !!$ 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 MLD2P4 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 MLD2P4 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. !!$ !!$ ! ! ! ! ! ! module mld_d_ilu_solver use mld_d_prec_type type, extends(mld_d_base_solver_type) :: mld_d_ilu_solver_type type(psb_d_sparse_mat) :: l, u real(psb_dpk_), allocatable :: d(:) integer :: fact_type, fill_in real(psb_dpk_) :: thresh contains procedure, pass(sv) :: build => d_ilu_solver_bld procedure, pass(sv) :: apply => d_ilu_solver_apply procedure, pass(sv) :: free => d_ilu_solver_free procedure, pass(sv) :: seti => d_ilu_solver_seti procedure, pass(sv) :: setc => d_ilu_solver_setc procedure, pass(sv) :: setr => d_ilu_solver_setr procedure, pass(sv) :: descr => d_ilu_solver_descr procedure, pass(sv) :: sizeof => d_ilu_solver_sizeof end type mld_d_ilu_solver_type private :: d_ilu_solver_bld, d_ilu_solver_apply, & & d_ilu_solver_free, d_ilu_solver_seti, & & d_ilu_solver_setc, d_ilu_solver_setr,& & d_ilu_solver_descr, d_ilu_solver_sizeof interface mld_ilu0_fact subroutine mld_dilu0_fact(ialg,a,l,u,d,info,blck,upd) use psb_base_mod, only : psb_d_sparse_mat, psb_dpk_ integer, intent(in) :: ialg integer, intent(out) :: info type(psb_d_sparse_mat),intent(in) :: a type(psb_d_sparse_mat),intent(inout) :: l,u type(psb_d_sparse_mat),intent(in), optional, target :: blck character, intent(in), optional :: upd real(psb_dpk_), intent(inout) :: d(:) end subroutine mld_dilu0_fact end interface interface mld_iluk_fact subroutine mld_diluk_fact(fill_in,ialg,a,l,u,d,info,blck) use psb_base_mod, only : psb_d_sparse_mat, psb_dpk_ integer, intent(in) :: fill_in,ialg integer, intent(out) :: info type(psb_d_sparse_mat),intent(in) :: a type(psb_d_sparse_mat),intent(inout) :: l,u type(psb_d_sparse_mat),intent(in), optional, target :: blck real(psb_dpk_), intent(inout) :: d(:) end subroutine mld_diluk_fact end interface interface mld_ilut_fact subroutine mld_dilut_fact(fill_in,thres,a,l,u,d,info,blck) use psb_base_mod, only : psb_d_sparse_mat, psb_dpk_ integer, intent(in) :: fill_in real(psb_dpk_), intent(in) :: thres integer, intent(out) :: info type(psb_d_sparse_mat),intent(in) :: a type(psb_d_sparse_mat),intent(inout) :: l,u type(psb_d_sparse_mat),intent(in), optional, target :: blck real(psb_dpk_), intent(inout) :: d(:) end subroutine mld_dilut_fact end interface character(len=15), parameter, private :: & & fact_names(0:3)=(/'none ','ILU(n) ',& & 'MILU(n) ','ILU(t,n) '/) contains subroutine d_ilu_solver_apply(alpha,sv,x,beta,y,desc_data,trans,work,info) use psb_base_mod type(psb_desc_type), intent(in) :: desc_data class(mld_d_ilu_solver_type), intent(in) :: sv real(psb_dpk_),intent(in) :: x(:) real(psb_dpk_),intent(inout) :: y(:) real(psb_dpk_),intent(in) :: alpha,beta character(len=1),intent(in) :: trans real(psb_dpk_),target, intent(inout) :: work(:) integer, intent(out) :: info integer :: n_row,n_col real(psb_dpk_), pointer :: ww(:), aux(:), tx(:),ty(:) integer :: ictxt,np,me,i, err_act character :: trans_ character(len=20) :: name='d_ilu_solver_apply' call psb_erractionsave(err_act) info = 0 trans_ = psb_toupper(trans) select case(trans_) case('N') case('T','C') case default call psb_errpush(40,name) goto 9999 end select n_row = psb_cd_get_local_rows(desc_data) n_col = psb_cd_get_local_cols(desc_data) if (n_col <= size(work)) then ww => work(1:n_col) if ((4*n_col+n_col) <= size(work)) then aux => work(n_col+1:) else allocate(aux(4*n_col),stat=info) if (info /= 0) then info=4025 call psb_errpush(info,name,i_err=(/4*n_col,0,0,0,0/),& & a_err='real(psb_dpk_)') goto 9999 end if endif else allocate(ww(n_col),aux(4*n_col),stat=info) if (info /= 0) then info=4025 call psb_errpush(info,name,i_err=(/5*n_col,0,0,0,0/),& & a_err='real(psb_dpk_)') goto 9999 end if endif select case(trans_) case('N') call psb_spsm(done,sv%l,x,dzero,ww,desc_data,info,& & trans=trans_,scale='L',diag=sv%d,choice=psb_none_,work=aux) if (info == 0) call psb_spsm(alpha,sv%u,ww,beta,y,desc_data,info,& & trans=trans_,scale='U',choice=psb_none_, work=aux) case('T','C') call psb_spsm(done,sv%u,x,dzero,ww,desc_data,info,& & trans=trans_,scale='L',diag=sv%d,choice=psb_none_,work=aux) if (info == 0) call psb_spsm(alpha,sv%l,ww,beta,y,desc_data,info,& & trans=trans_,scale='U',choice=psb_none_,work=aux) case default call psb_errpush(4001,name,a_err='Invalid TRANS in ILU subsolve') goto 9999 end select if (info /= 0) then call psb_errpush(4001,name,a_err='Error in subsolve') goto 9999 endif if (n_col <= size(work)) then if ((4*n_col+n_col) <= size(work)) then else deallocate(aux) endif else deallocate(ww,aux) 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 end subroutine d_ilu_solver_apply subroutine d_ilu_solver_bld(a,desc_a,sv,upd,info,b) use psb_base_mod Implicit None ! Arguments type(psb_d_sparse_mat), intent(in), target :: a Type(psb_desc_type), Intent(in) :: desc_a class(mld_d_ilu_solver_type), intent(inout) :: sv character, intent(in) :: upd integer, intent(out) :: info type(psb_d_sparse_mat), intent(in), target, optional :: b ! Local variables integer :: n_row,n_col, nrow_a, nztota real(psb_dpk_), pointer :: ww(:), aux(:), tx(:),ty(:) integer :: ictxt,np,me,i, err_act, debug_unit, debug_level character(len=20) :: name='d_ilu_solver_bld', ch_err info=0 call psb_erractionsave(err_act) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() ictxt = psb_cd_get_context(desc_a) call psb_info(ictxt, me, np) if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),' start' n_row = psb_cd_get_local_rows(desc_a) if (psb_toupper(upd) == 'F') then nrow_a = a%get_nrows() nztota = a%get_nzeros() if (present(b)) then nztota = nztota + b%get_nzeros() end if call sv%l%csall(n_row,n_row,info,nztota) if (info == 0) call sv%u%csall(n_row,n_row,info,nztota) if(info/=0) then info=4010 ch_err='psb_sp_all' call psb_errpush(info,name,a_err=ch_err) goto 9999 end if if (allocated(sv%d)) then if (size(sv%d) < n_row) then deallocate(sv%d) endif endif if (.not.allocated(sv%d)) then allocate(sv%d(n_row),stat=info) if (info /= 0) then call psb_errpush(4010,name,a_err='Allocate') goto 9999 end if endif select case(sv%fact_type) case (mld_ilu_t_) ! ! ILU(k,t) ! select case(sv%fill_in) case(:-1) ! Error: fill-in <= -1 call psb_errpush(30,name,i_err=(/3,sv%fill_in,0,0,0/)) goto 9999 case(0:) ! Fill-in >= 0 call mld_ilut_fact(sv%fill_in,sv%thresh,& & a, sv%l,sv%u,sv%d,info,blck=b) end select if(info/=0) then info=4010 ch_err='mld_ilut_fact' call psb_errpush(info,name,a_err=ch_err) goto 9999 end if case(mld_ilu_n_,mld_milu_n_) ! ! ILU(k) and MILU(k) ! select case(sv%fill_in) case(:-1) ! Error: fill-in <= -1 call psb_errpush(30,name,i_err=(/3,sv%fill_in,0,0,0/)) goto 9999 case(0) ! Fill-in 0 ! Separate implementation of ILU(0) for better performance. ! There seems to be a problem with the separate implementation of MILU(0), ! contained into mld_ilu0_fact. This must be investigated. For the time being, ! resort to the implementation of MILU(k) with k=0. if (sv%fact_type == mld_ilu_n_) then call mld_ilu0_fact(sv%fact_type,a,sv%l,sv%u,& & sv%d,info,blck=b,upd=upd) else call mld_iluk_fact(sv%fill_in,sv%fact_type,& & a,sv%l,sv%u,sv%d,info,blck=b) endif case(1:) ! Fill-in >= 1 ! The same routine implements both ILU(k) and MILU(k) call mld_iluk_fact(sv%fill_in,sv%fact_type,& & a,sv%l,sv%u,sv%d,info,blck=b) end select if (info/=0) then info=4010 ch_err='mld_iluk_fact' call psb_errpush(info,name,a_err=ch_err) goto 9999 end if case default ! If we end up here, something was wrong up in the call chain. call psb_errpush(4000,name) goto 9999 end select else ! Here we should add checks for reuse of L and U. ! For the time being just throw an error. info = 31 call psb_errpush(info, name, i_err=(/3,0,0,0,0/),a_err=upd) goto 9999 ! ! What is an update of a factorization?? ! A first attempt could be to reuse EXACTLY the existing indices ! as if it was an ILU(0) (since, effectively, the sparsity pattern ! should not grow beyond what is already there). ! call mld_ilu0_fact(sv%fact_type,a,& & sv%l,sv%u,& & sv%d,info,blck=b,upd=upd) end if call sv%l%set_asb() call sv%l%trim() call sv%u%set_asb() call sv%u%trim() if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),' end' 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 d_ilu_solver_bld subroutine d_ilu_solver_seti(sv,what,val,info) use psb_base_mod Implicit None ! Arguments class(mld_d_ilu_solver_type), intent(inout) :: sv integer, intent(in) :: what integer, intent(in) :: val integer, intent(out) :: info Integer :: err_act character(len=20) :: name='d_ilu_solver_seti' info = 0 call psb_erractionsave(err_act) select case(what) case(mld_sub_solve_) sv%fact_type = val case(mld_sub_fillin_) sv%fill_in = val case default write(0,*) name,': Error: invalid WHAT' !!$ info = -2 end select 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 d_ilu_solver_seti subroutine d_ilu_solver_setc(sv,what,val,info) use psb_base_mod Implicit None ! Arguments class(mld_d_ilu_solver_type), intent(inout) :: sv integer, intent(in) :: what character(len=*), intent(in) :: val integer, intent(out) :: info Integer :: err_act, ival character(len=20) :: name='d_ilu_solver_setc' info = 0 call psb_erractionsave(err_act) call mld_stringval(val,ival,info) if (info == 0) call sv%set(what,ival,info) if (info /= 0) then info = 4010 call psb_errpush(info, name) goto 9999 end if 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 d_ilu_solver_setc subroutine d_ilu_solver_setr(sv,what,val,info) use psb_base_mod Implicit None ! Arguments class(mld_d_ilu_solver_type), intent(inout) :: sv integer, intent(in) :: what real(psb_dpk_), intent(in) :: val integer, intent(out) :: info Integer :: err_act character(len=20) :: name='d_ilu_solver_setr' call psb_erractionsave(err_act) info = 0 select case(what) case(mld_sub_iluthrs_) sv%thresh = val case default write(0,*) name,': Error: invalid WHAT' !!$ info = -2 !!$ goto 9999 end select 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 d_ilu_solver_setr subroutine d_ilu_solver_free(sv,info) use psb_base_mod Implicit None ! Arguments class(mld_d_ilu_solver_type), intent(inout) :: sv integer, intent(out) :: info Integer :: err_act character(len=20) :: name='d_ilu_solver_free' call psb_erractionsave(err_act) info = 0 if (allocated(sv%d)) then deallocate(sv%d,stat=info) if (info /= 0) then info = 4000 call psb_errpush(info,name) goto 9999 end if end if call sv%l%free() call sv%u%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 d_ilu_solver_free subroutine d_ilu_solver_descr(sv,info,iout) use psb_base_mod Implicit None ! Arguments class(mld_d_ilu_solver_type), intent(inout) :: sv integer, intent(out) :: info integer, intent(in), optional :: iout ! Local variables integer :: err_act integer :: ictxt, me, np character(len=20), parameter :: name='mld_d_ilu_solver_descr' integer :: iout_ call psb_erractionsave(err_act) info = 0 if (present(iout)) then iout_ = iout else iout_ = 6 endif write(iout_,*) ' Incomplete factorization solver: ',& & fact_names(sv%fact_type) select case(sv%fact_type) case(mld_ilu_n_,mld_milu_n_) write(iout_,*) ' Fill level:',sv%fill_in case(mld_ilu_t_) write(iout_,*) ' Fill level:',sv%fill_in write(iout_,*) ' Fill threshold :',sv%thresh end select 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 d_ilu_solver_descr function d_ilu_solver_sizeof(sv) result(val) use psb_base_mod implicit none ! Arguments class(mld_d_ilu_solver_type), intent(inout) :: sv integer(psb_long_int_k_) :: val integer :: i val = 2*psb_sizeof_int + psb_sizeof_dp if (allocated(sv%d)) val = val + psb_sizeof_dp * size(sv%d) val = val + psb_sizeof(sv%l) val = val + psb_sizeof(sv%u) return end function d_ilu_solver_sizeof end module mld_d_ilu_solver