!!$ !!$ !!$ MLD2P4 version 2.1 !!$ MultiLevel Domain Decomposition Parallel Preconditioners Package !!$ based on PSBLAS (Parallel Sparse BLAS version 3.4) !!$ !!$ (C) Copyright 2008, 2010, 2012, 2015, 2017 !!$ !!$ Salvatore Filippone Cranfield University !!$ Ambra Abdullahi Hassan University of Rome Tor Vergata !!$ Alfredo Buttari CNRS-IRIT, Toulouse !!$ 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. 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File: mld_dprecaply.f90 ! ! Subroutine: mld_dprecaply ! Version: real ! ! This routine applies the preconditioner built by mld_dprecbld, i.e. it computes ! ! Y = op(M^(-1)) * X, ! where ! - M is the preconditioner, ! - op(M^(-1)) is M^(-1) or its transpose, according to the value of trans, ! - X and Y are vectors. ! This operation is performed at each iteration of a preconditioned Krylov solver. ! ! ! Arguments: ! prec - type(mld_dprec_type), input. ! The preconditioner data structure containing the local part ! of the preconditioner to be applied. ! x - real(psb_dpk_), dimension(:), input. ! The local part of the vector X in Y=op(M^(-1))*X. ! y - real(psb_dpk_), dimension(:), output. ! The local part of the vector Y in Y=op(M^(-1))*X. ! desc_data - type(psb_desc_type), input. ! The communication descriptor associated to the matrix to be ! preconditioned. ! info - integer, output. ! Error code. ! trans - character(len=1), optional. ! If trans='N','n' then op(M^(-1)) = M^(-1); ! if trans='T','t' then op(M^(-1)) = M^(-T) (transpose of M^(-1)). ! work - real(psb_dpk_), dimension (:), optional, target. ! Workspace. Its size must be at ! least 4*desc_data%get_local_cols(). ! subroutine mld_dprecaply(prec,x,y,desc_data,info,trans,work) use psb_base_mod use mld_d_inner_mod, mld_protect_name => mld_dprecaply implicit none ! Arguments type(psb_desc_type),intent(in) :: desc_data type(mld_dprec_type), intent(inout) :: prec real(psb_dpk_),intent(inout) :: x(:) real(psb_dpk_),intent(inout) :: y(:) integer(psb_ipk_), intent(out) :: info character(len=1), optional :: trans real(psb_dpk_),intent(inout), optional, target :: work(:) ! Local variables character :: trans_ real(psb_dpk_), pointer :: work_(:) integer(psb_ipk_) :: ictxt,np,me integer(psb_ipk_) :: err_act,iwsz character(len=20) :: name name='mld_dprecaply' info = psb_success_ call psb_erractionsave(err_act) ictxt = desc_data%get_context() call psb_info(ictxt, me, np) if (present(trans)) then trans_=psb_toupper(trans) else trans_='N' end if if (present(work)) then work_ => work else iwsz = max(1,4*desc_data%get_local_cols()) allocate(work_(iwsz),stat=info) if (info /= psb_success_) then call psb_errpush(psb_err_alloc_request_,name, & & i_err=(/iwsz,izero,izero,izero,izero/),& & a_err='real(psb_dpk_)') goto 9999 end if end if if (.not.(allocated(prec%precv))) then !! Error 1: should call mld_dprecbld info=3112 call psb_errpush(info,name) goto 9999 end if if (size(prec%precv) >1) then ! ! Number of levels > 1: apply the multilevel preconditioner ! call mld_mlprec_aply(done,prec,x,dzero,y,desc_data,trans_,work_,info) if(info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='mld_dmlprec_aply') goto 9999 end if else if (size(prec%precv) == 1) then ! ! Number of levels = 1: apply the base preconditioner ! call prec%precv(1)%sm%apply(done,x,dzero,y,desc_data,trans_,& & prec%precv(1)%parms%sweeps, work_,info) else info = psb_err_from_subroutine_ai_ call psb_errpush(info,name,a_err='Invalid size of precv',& & i_Err=(/ione*size(prec%precv),izero,izero,izero,izero/)) goto 9999 endif ! If the original distribution has an overlap we should fix that. call psb_halo(y,desc_data,info,data=psb_comm_mov_) if (present(work)) then else deallocate(work_) end if call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return end subroutine mld_dprecaply ! ! Subroutine: mld_dprecaply1 ! Version: real ! ! Applies the preconditioner built by mld_dprecbld, i.e. computes ! ! X = op(M^(-1)) * X, ! where ! - M is the preconditioner, ! - op(M^(-1)) is M^(-1) or its transpose, according to the value of trans, ! - X is a vectors. ! This operation is performed at each iteration of a preconditioned Krylov solver. ! ! This routine differs from mld_dprecaply because the preconditioned vector X ! overwrites the original one. ! ! ! Arguments: ! prec - type(mld_dprec_type), input. ! The preconditioner data structure containing the local part ! of the preconditioner to be applied. ! x - real(psb_dpk_), dimension(:), input/output. ! The local part of vector X in X := op(M^(-1)) * X. ! desc_data - type(psb_desc_type), input. ! The communication descriptor associated to the matrix to be ! preconditioned. ! info - integer, output. ! Error code. ! trans - character(len=1), optional. ! If trans='N','n' then op(M^(-1)) = M^(-1); ! if trans='T','t' then op(M^(-1)) = M^(-T) (transpose of M^(-1)). ! subroutine mld_dprecaply1(prec,x,desc_data,info,trans) use psb_base_mod use mld_d_inner_mod, mld_protect_name => mld_dprecaply1 implicit none ! Arguments type(psb_desc_type),intent(in) :: desc_data type(mld_dprec_type), intent(inout) :: prec real(psb_dpk_),intent(inout) :: x(:) integer(psb_ipk_), intent(out) :: info character(len=1), optional :: trans ! Local variables integer(psb_ipk_) :: ictxt,np,me integer(psb_ipk_) :: err_act real(psb_dpk_), pointer :: WW(:), w1(:) character(len=20) :: name name='mld_dprecaply1' info = psb_success_ call psb_erractionsave(err_act) ictxt = desc_data%get_context() call psb_info(ictxt, me, np) allocate(ww(size(x)),w1(size(x)),stat=info) if (info /= psb_success_) then info=psb_err_alloc_request_ call psb_errpush(info,name, & & i_err=(/itwo*size(x),izero,izero,izero,izero/),& & a_err='real(psb_dpk_)') goto 9999 end if call mld_precaply(prec,x,ww,desc_data,info,trans=trans,work=w1) if (info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='mld_precaply') goto 9999 end if x(:) = ww(:) deallocate(ww,W1,stat=info) if (info /= psb_success_) then info = psb_err_alloc_dealloc_ call psb_errpush(info,name) goto 9999 end if call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return end subroutine mld_dprecaply1 subroutine mld_dprecaply2_vect(prec,x,y,desc_data,info,trans,work) use psb_base_mod use mld_d_inner_mod, mld_protect_name => mld_dprecaply2_vect implicit none ! Arguments type(psb_desc_type),intent(in) :: desc_data type(mld_dprec_type), intent(inout) :: prec type(psb_d_vect_type),intent(inout) :: x type(psb_d_vect_type),intent(inout) :: y integer(psb_ipk_), intent(out) :: info character(len=1), optional :: trans real(psb_dpk_),intent(inout), optional, target :: work(:) ! Local variables character :: trans_ real(psb_dpk_), pointer :: work_(:) integer(psb_ipk_) :: ictxt,np,me integer(psb_ipk_) :: err_act,iwsz character(len=20) :: name name='mld_dprecaply' info = psb_success_ call psb_erractionsave(err_act) ictxt = desc_data%get_context() call psb_info(ictxt, me, np) if (present(trans)) then trans_=psb_toupper(trans) else trans_='N' end if if (present(work)) then work_ => work else iwsz = max(1,4*desc_data%get_local_cols()) allocate(work_(iwsz),stat=info) if (info /= psb_success_) then call psb_errpush(psb_err_alloc_request_,name, & & i_err=(/iwsz,izero,izero,izero,izero/),& & a_err='real(psb_dpk_)') goto 9999 end if end if if (.not.(allocated(prec%precv))) then !! Error 1: should call mld_dprecbld info=3112 call psb_errpush(info,name) goto 9999 end if if (size(prec%precv) >1) then ! ! Number of levels > 1: apply the multilevel preconditioner ! call mld_mlprec_aply(done,prec,x,dzero,y,desc_data,trans_,work_,info) if(info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='mld_dmlprec_aply') goto 9999 end if else if (size(prec%precv) == 1) then ! ! Number of levels = 1: apply the base preconditioner ! call prec%precv(1)%sm%apply(done,x,dzero,y,desc_data,trans_,& & prec%precv(1)%parms%sweeps, work_,info) else info = psb_err_from_subroutine_ai_ call psb_errpush(info,name,a_err='Invalid size of precv',& & i_Err=(/ione*size(prec%precv),izero,izero,izero,izero/)) goto 9999 endif ! If the original distribution has an overlap we should fix that. call psb_halo(y,desc_data,info,data=psb_comm_mov_) if (present(work)) then else deallocate(work_) end if call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return end subroutine mld_dprecaply2_vect subroutine mld_dprecaply1_vect(prec,x,desc_data,info,trans,work) use psb_base_mod use mld_d_inner_mod, mld_protect_name => mld_dprecaply1_vect implicit none ! Arguments type(psb_desc_type),intent(in) :: desc_data type(mld_dprec_type), intent(inout) :: prec type(psb_d_vect_type),intent(inout) :: x integer(psb_ipk_), intent(out) :: info character(len=1), optional :: trans real(psb_dpk_),intent(inout), optional, target :: work(:) ! Local variables character :: trans_ type(psb_d_vect_type) :: ww real(psb_dpk_), pointer :: work_(:) integer(psb_ipk_) :: ictxt,np,me integer(psb_ipk_) :: err_act,iwsz character(len=20) :: name name='mld_dprecaply' info = psb_success_ call psb_erractionsave(err_act) ictxt = desc_data%get_context() call psb_info(ictxt, me, np) if (present(trans)) then trans_=psb_toupper(trans) else trans_='N' end if if (present(work)) then work_ => work else iwsz = max(1,4*desc_data%get_local_cols()) allocate(work_(iwsz),stat=info) if (info /= psb_success_) then call psb_errpush(psb_err_alloc_request_,name, & & i_err=(/iwsz,izero,izero,izero,izero/),& & a_err='real(psb_dpk_)') goto 9999 end if end if if (.not.(allocated(prec%precv))) then !! Error 1: should call mld_dprecbld info=3112 call psb_errpush(info,name) goto 9999 end if call psb_geasb(ww,desc_data,info,mold=x%v,scratch=.true.) if (size(prec%precv) >1) then ! ! Number of levels > 1: apply the multilevel preconditioner ! call mld_mlprec_aply(done,prec,x,dzero,ww,desc_data,trans_,work_,info) if(info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='mld_dmlprec_aply') goto 9999 end if else if (size(prec%precv) == 1) then ! ! Number of levels = 1: apply the base preconditioner ! call prec%precv(1)%sm%apply(done,x,dzero,ww,desc_data,trans_,& & prec%precv(1)%parms%sweeps, work_,info) else info = psb_err_from_subroutine_ai_ call psb_errpush(info,name,a_err='Invalid size of precv',& & i_Err=(/ione*size(prec%precv),izero,izero,izero,izero/)) goto 9999 endif if (info == 0) call psb_geaxpby(done,ww,dzero,x,desc_data,info) if (info == 0) call psb_gefree(ww,desc_data,info) ! If the original distribution has an overlap we should fix that. call psb_halo(x,desc_data,info,data=psb_comm_mov_) if (present(work)) then else deallocate(work_) end if call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return end subroutine mld_dprecaply1_vect