!!$ !!$ !!$ MLD2P4 !!$ MultiLevel Domain Decomposition Parallel Preconditioners Package !!$ based on PSBLAS (Parallel Sparse BLAS v.2.0) !!$ !!$ (C) Copyright 2007 Alfredo Buttari University of Rome Tor Vergata !!$ Pasqua D'Ambra ICAR-CNR, Naples !!$ Daniela di Serafino Second University of Naples !!$ 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. 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File: mld_zbaseprec_aply.f90. ! ! Subroutine: mld_zbaseprec_aply. ! Version: complex. ! ! This routine applies a base preconditioner by computing ! ! Y = beta*Y + alpha*op(K^(-1))*X, ! where ! - K is the base preconditioner, stored in prec, ! - op(K^(-1)) is K^(-1) or its transpose, according to the value of trans, ! - X and Y are vectors, ! - alpha and beta are scalars. ! ! The routine is used by mld_dmlprec_aply, to apply the multilevel preconditioners, ! or directly by mld_dprec_aply, to apply the basic one-level preconditioners (diagonal, ! block-Jacobi or additive Schwarz), or to have no preconditioning. ! ! ! Arguments: ! alpha - complex(kind(0.d0)), input. ! The scalar alpha. ! prec - type(), input. ! The base preconditioner data structure containing the local part ! of the preconditioner K. ! x - complex(kind(0.d0)), dimension(:), input. ! The local part of the vector X. ! beta - complex(kind(0.d0)), input. ! The scalar beta. ! y - complex(kind(0.d0)), dimension(:), input/output. ! The local part of the vector Y. ! desc_data - type(), input. ! The communication descriptor associated to the matrix to be ! preconditioned. ! trans - character, optional. ! If trans='N','n' then op(K^(-1)) = K^(-1); ! if trans='T','t' then op(K^(-1)) = K^(-T) (transpose of K^(-1)). ! work - real(kind(0.d0)), dimension (:), optional, target. ! Workspace. Its size must be at least 4*psb_cd_get_local_cols(desc_data). ! info - integer, output. ! Error code. ! subroutine mld_zbaseprec_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) use psb_base_mod use mld_prec_mod, mld_protect_name => mld_zbaseprec_aply implicit none ! Arguments type(psb_desc_type),intent(in) :: desc_data type(mld_zbaseprc_type), intent(in) :: prec complex(kind(0.d0)),intent(in) :: x(:) complex(kind(0.d0)),intent(inout) :: y(:) complex(kind(0.d0)),intent(in) :: alpha,beta character(len=1) :: trans complex(kind(0.d0)),target :: work(:) integer, intent(out) :: info ! Local variables integer :: n_row,n_col, int_err(5), nrow_d complex(kind(1.d0)), pointer :: ww(:), aux(:), tx(:),ty(:) character ::diagl, diagu integer :: ictxt,np,me, isz, err_act logical,parameter :: debug=.false., debugprt=.false. character(len=20) :: name, ch_err name='mld_zbaseprec_aply' info = 0 call psb_erractionsave(err_act) ictxt = psb_cd_get_context(desc_data) call psb_info(ictxt, me, np) diagl='U' diagu='U' select case(trans) case('N','n') case('T','t','C','c') case default info=40 int_err(1)=6 ch_err(2:2)=trans goto 9999 end select select case(prec%iprcparm(mld_prec_type_)) case(mld_noprec_) ! ! No preconditioner ! call psb_geaxpby(alpha,x,beta,y,desc_data,info) case(mld_diag_) ! ! Diagonal preconditioner ! if (size(work) >= size(x)) then ww => work else allocate(ww(size(x)),stat=info) if (info /= 0) then call psb_errpush(4025,name,i_err=(/size(x),0,0,0,0/),a_err='complex(kind(1.d0))') goto 9999 end if end if n_row = psb_cd_get_local_rows(desc_data) ww(1:n_row) = x(1:n_row)*prec%d(1:n_row) call psb_geaxpby(alpha,ww,beta,y,desc_data,info) if (size(work) < size(x)) then deallocate(ww,stat=info) if (info /= 0) then call psb_errpush(4010,name,a_err='Deallocate') goto 9999 end if end if case(mld_bjac_) ! ! Block-Jacobi preconditioner ! call mld_bjac_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) if(info.ne.0) then info=4010 ch_err='mld_bjac_aply' goto 9999 end if case(mld_as_) ! ! Additive Schwarz preconditioner ! if (prec%iprcparm(mld_n_ovr_)==0) then ! ! shortcut: this fixes performance for RAS(0) == BJA ! call mld_bjac_aply(alpha,prec,x,beta,y,desc_data,trans,work,info) if(info.ne.0) then info=4010 ch_err='psb_bjacaply' goto 9999 end if else ! ! Note: currently trans is unused ! n_row = psb_cd_get_local_rows(prec%desc_data) n_col = psb_cd_get_local_cols(prec%desc_data) nrow_d = psb_cd_get_local_rows(desc_data) isz=max(n_row,N_COL) if ((6*isz) <= size(work)) then ww => work(1:isz) tx => work(isz+1:2*isz) ty => work(2*isz+1:3*isz) aux => work(3*isz+1:) else if ((4*isz) <= size(work)) then aux => work(1:) allocate(ww(isz),tx(isz),ty(isz),stat=info) if (info /= 0) then call psb_errpush(4025,name,i_err=(/3*isz,0,0,0,0/),& & a_err='complex(kind(1.d0))') goto 9999 end if else if ((3*isz) <= size(work)) then ww => work(1:isz) tx => work(isz+1:2*isz) ty => work(2*isz+1:3*isz) allocate(aux(4*isz),stat=info) if (info /= 0) then call psb_errpush(4025,name,i_err=(/4*isz,0,0,0,0/),& & a_err='complex(kind(1.d0))') goto 9999 end if else allocate(ww(isz),tx(isz),ty(isz),& &aux(4*isz),stat=info) if (info /= 0) then call psb_errpush(4025,name,i_err=(/4*isz,0,0,0,0/),& & a_err='complex(kind(1.d0))') goto 9999 end if endif if (debugprt) write(0,*)' vdiag: ',prec%d(:) if (debug) write(0,*) 'Bi-CGSTAB with Additive Schwarz prec' tx(1:nrow_d) = x(1:nrow_d) tx(nrow_d+1:isz) = zzero ! ! Get the overlap entries of tx (tx==x) ! if (prec%iprcparm(mld_sub_restr_)==psb_halo_) then call psb_halo(tx,prec%desc_data,info,work=aux,data=psb_comm_ext_) if(info /=0) then info=4010 ch_err='psb_halo' goto 9999 end if else if (prec%iprcparm(mld_sub_restr_) /= psb_none_) then write(0,*) 'Problem in PREC_APLY: Unknown value for restriction ',& &prec%iprcparm(mld_sub_restr_) end if ! ! If required, reorder tx according to the row/column permutation of the ! local extended matrix, stored into the permutation vector prec%perm ! if (prec%iprcparm(mld_sub_ren_)>0) then call psb_gelp('n',prec%perm,tx,info) if(info /=0) then info=4010 ch_err='psb_gelp' goto 9999 end if endif ! ! Apply to tx the block-Jacobi preconditioner/solver (multiple sweeps of the ! block-Jacobi solver can be applied at the coarsest level of a multilevel ! preconditioner). The resulting vector is ty. ! call mld_bjac_aply(zone,prec,tx,zzero,ty,prec%desc_data,trans,aux,info) if(info.ne.0) then info=4010 ch_err='mld_bjac_aply' goto 9999 end if ! ! Apply to ty the inverse permutation of prec%perm ! if (prec%iprcparm(mld_sub_ren_)>0) then call psb_gelp('n',prec%invperm,ty,info) if(info /=0) then info=4010 ch_err='psb_gelp' goto 9999 end if endif select case (prec%iprcparm(mld_sub_prol_)) case(psb_none_) ! ! Would work anyway, but since it is supposed to do nothing ... ! call f90_psovrl(ty,prec%desc_data,update=prec%a_restrict) ! case(psb_sum_,psb_avg_) ! ! Update the overlap of ty ! call psb_ovrl(ty,prec%desc_data,info,& & update=prec%iprcparm(mld_sub_prol_),work=aux) if(info /=0) then info=4010 ch_err='psb_ovrl' goto 9999 end if case default write(0,*) 'Problem in PREC_APLY: Unknown value for prolongation ',& & prec%iprcparm(mld_sub_prol_) end select ! ! Compute y = beta*y + alpha*ty (ty==K^(-1)*tx) ! call psb_geaxpby(alpha,ty,beta,y,desc_data,info) if ((6*isz) <= size(work)) then else if ((4*isz) <= size(work)) then deallocate(ww,tx,ty) else if ((3*isz) <= size(work)) then deallocate(aux) else deallocate(ww,aux,tx,ty) endif end if case default write(0,*) 'Invalid PRE%PREC ',prec%iprcparm(mld_prec_type_),':',& & mld_min_prec_,mld_noprec_,mld_diag_,mld_bjac_,mld_as_ end select call psb_erractionrestore(err_act) return 9999 continue call psb_errpush(info,name,i_err=int_err,a_err=ch_err) call psb_erractionrestore(err_act) if (err_act.eq.psb_act_abort_) then call psb_error() return end if return end subroutine mld_zbaseprec_aply