! ! ! AMG4PSBLAS version 1.0 ! Algebraic Multigrid Package ! based on PSBLAS (Parallel Sparse BLAS version 3.7) ! ! (C) Copyright 2021 ! ! Salvatore Filippone ! Pasqua D'Ambra ! Fabio Durastante ! ! 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. ! ! ! File: amg_zmlprec_aply.f90 ! ! Subroutine: amg_zmlprec_aply ! Version: real ! ! Current version of this file contributed by: ! Ambra Abdullahi Hassan ! ! ! This routine computes ! ! Y = beta*Y + alpha*op(ML^(-1))*X, ! where ! - ML is a multilevel preconditioner associated with ! a certain matrix A and stored in p, ! - op(ML^(-1)) is ML^(-1) or its transpose, according to the value of trans, ! - X and Y are vectors, ! - alpha and beta are scalars. ! ! The following multilevel strategies can be applied: ! ! - Additive multilevel Schwarz, ! - classical V-cycle, ! - classical W-cycle, ! - K-cycle both for symmetric and nonsymmetric matrices, where 2 iterations ! of FCG(1) or GCR, respectively, are applied at each level ! except the coarsest. ! ! For each level we have as many submatrices as processes (except for the coarsest ! level where we might have a replicated index space) and each process takes care ! of one submatrix. ! ! A multilevel preconditioner is regarded as an array of 'one-level' data structures, ! each containing the part of the preconditioner associated to a certain level ! (for more details see the description of amg_Tonelev_type in amg_prec_type.f90). ! For each level lev, there is a smoother stored in ! p%precv(lev)%sm ! which in turn contains a solver ! p$precv(lev)%sm%sv ! Typically the solver acts only locally, and the smoother applies any required ! parallel communication/action. ! Each level has a matrix A(lev), obtained by 'tranferring' the original ! matrix A (i.e. the matrix to be preconditioned) to the level lev, through smoothed ! aggregation. ! ! The levels are numbered in increasing order starting from the finest one, i.e. ! level 1 is the finest level and A(1) is the matrix A. ! ! This routine is formulated in a recursive way, so it is quite compact. ! ! The V-cycle can be described as follows, where ! P(lev) denotes the smoothed prolongator from level lev to level ! lev-1, while R(lev) denotes the corresponding restriction operator ! (normally its transpose) from level lev-1 to level lev. ! M(lev) is the smoother at the current level. ! ! ! 1. Transfer the outer vector Xest to u(1) (inner X at level 1) ! ! 2. Invoke V-cycle(1,M,P,R,A,b,u) ! ! procedure V-cycle(lev,M,P,R,A,b,u) ! ! if (lev < nlev) then ! ! u(lev) = u(lev) + M(lev)*(b(lev)-A(lev)*u(lev)) ! ! b(lev+1) = R(lev+1)*(b(lev)-A(lev)*u(lev)) ! ! u(lev+1) = V-cycle(lev+1,M,P,R,A,b,u) ! ! u(lev) = u(lev) + P(lev+1) * u(lev+1) ! ! u(lev) = u(lev) + M(lev)*(b(lev)-A(lev)*u(lev)) ! ! else ! ! solve A(lev)*u(lev) = b(lev) ! ! end if ! ! return u(lev) ! end ! ! 3. Transfer u(1) to the external: ! Yext = beta*Yext + alpha*u(1) ! ! ! In the implementation, the recursive procedure is inner_ml_aply, which ! in turn uses amg_inner_add (for additive multilevel), ! amg_inner_mult (for V-cycle and W-cycle), and ! amg_inner_k_cycle (for symmetric and non-symmetric K-cycle). ! ! For a detailed description of the algorithms, see: ! ! - B.F. Smith, P.E. Bjorstad, W.D. Gropp, ! Domain decomposition: parallel multilevel methods for elliptic partial ! differential equations, Cambridge University Press, 1996. ! ! - W. L. Briggs, V. E. Henson, S. F. McCormick, ! A Multigrid Tutorial, Second Edition ! SIAM, 2000. ! ! - K. Stuben, ! An Introduction to Algebraic Multigrid, ! in A. Schuller, U. Trottenberg, C. Oosterlee, Multigrid, Academic Press, 2001. ! ! - Y. Notay, P. S. Vassilevski, ! Recursive Krylov-based multigrid cycles ! Numerical Linear Algebra with Applications, 15 (5), 2008, 473--487. ! ! ! Arguments: ! alpha - complex(psb_dpk_), input. ! The scalar alpha. ! p - type(amg_zprec_type), input. ! The multilevel preconditioner data structure containing the ! local part of the preconditioner to be applied. ! Note that nlev = size(p%precv) = number of levels. ! p%precv(lev)%sm - type(psb_zbaseprec_type) ! The pre-'smoother' for the current level ! p%precv(lev)%sm2 - type(psb_zbaseprec_type) ! The post-'smoother' for the current level ! may be the same or different from %sm ! p%precv(lev)%ac - type(psb_zspmat_type) ! The local part of the matrix A(lev). ! p%precv(lev)%parms - type(psb_dml_parms) ! Parameters controllin the multilevel prec. ! p%precv(lev)%desc_ac - type(psb_desc_type). ! The communication descriptor associated to the sparse ! matrix A(lev) ! p%precv(lev)%map - type(psb_inter_desc_type) ! Stores the linear operators mapping level (lev-1) ! to (lev) and vice versa. These are the restriction ! and prolongation operators described in the sequel. ! p%precv(lev)%base_a - type(psb_zspmat_type), pointer. ! Pointer (really a pointer!) to the base matrix of ! the current level, i.e. the local part of A(lev); ! so we have a unified treatment of residuals. We ! need this to avoid passing explicitly the matrix ! A(lev) to the routine which applies the ! preconditioner. ! p%precv(lev)%base_desc - type(psb_desc_type), pointer. ! Pointer to the communication descriptor associated ! to the sparse matrix pointed by base_a. ! ! x - complex(psb_dpk_), dimension(:), input. ! The local part of the vector X. ! beta - complex(psb_dpk_), input. ! The scalar beta. ! y - complex(psb_dpk_), dimension(:), input/output. ! The local part of the vector Y. ! desc_data - type(psb_desc_type), input. ! The communication descriptor associated to the matrix to be ! preconditioned. ! trans - character, 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 - complex(psb_dpk_), dimension (:), optional, target. ! Workspace. Its size must be at least 4*desc_data%get_local_cols(). ! info - integer, output. ! Error code. ! ! Note that when the LU factorization of the matrix A(lev) is computed instead of ! the ILU one, by using UMFPACK or SuperLU or MUMPS, the corresponding ! L and U factors are stored in data structures handled ! by the third party software. ! subroutine amg_zmlprec_aply_vect(alpha,p,x,beta,y,desc_data,trans,work,info) use psb_base_mod use amg_base_prec_type use amg_z_inner_mod, amg_protect_name => amg_zmlprec_aply_vect implicit none ! Arguments type(psb_desc_type),intent(in) :: desc_data type(amg_zprec_type), intent(inout) :: p complex(psb_dpk_),intent(in) :: alpha,beta type(psb_z_vect_type),intent(inout) :: x type(psb_z_vect_type),intent(inout) :: y character, intent(in) :: trans complex(psb_dpk_),target :: work(:) integer(psb_ipk_), intent(out) :: info ! Local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me integer(psb_ipk_) :: debug_level, debug_unit integer(psb_ipk_) :: nlev, nc2l, level, isweep, err_act character(len=20) :: name character :: trans_ complex(psb_dpk_) :: beta_ logical :: do_alloc_wrk type(amg_zmlprec_wrk_type), allocatable, target :: mlprec_wrk(:) name='amg_zmlprec_aply' info = psb_success_ call psb_erractionsave(err_act) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() ctxt = desc_data%get_context() call psb_info(ctxt, me, np) if (debug_level >= psb_debug_inner_) & & write(debug_unit,*) me,' ',trim(name),& & ' Entry ', size(p%precv) trans_ = psb_toupper(trans) nlev = size(p%precv) do_alloc_wrk = .not.allocated(p%precv(1)%wrk) if (do_alloc_wrk) call p%allocate_wrk(info,vmold=x%v) if (info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='Allocate') goto 9999 end if level = 1 associate(vx2l => p%precv(level)%wrk%vx2l,vy2l => p%precv(level)%wrk%vy2l,& & vtx => p%precv(level)%wrk%vtx,vty => p%precv(level)%wrk%vty,& & base_a => p%precv(level)%base_a, base_desc=>p%precv(level)%base_desc,& & wv => p%precv(level)%wrk%wv(:)) ! ! At first iteration we must use the input BETA ! beta_ = beta call psb_geaxpby(zone,x,zzero,vx2l,base_desc,info) if (info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='geaxbpy') goto 9999 end if do isweep = 1, p%outer_sweeps - 1 ! ! With the current implementation, y2l is zeroed internally at first smoother. ! call p%wrk(level)%vy2l%zero() ! call inner_ml_aply(level,p,trans_,work,info) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Inner prec aply') goto 9999 end if call psb_geaxpby(alpha,vy2l,beta_,y,base_desc,info) ! all iterations after the first must use BETA = 1 beta_ = zone ! ! Next iteration should use the current residual to compute a correction ! call psb_geaxpby(zone,x,zzero,vx2l,base_desc,info) call psb_spmm(-zone,base_a,y,zone,vx2l,base_desc,info) end do ! ! If outer_sweeps == 1 we have just skipped the loop, and it's ! equivalent to a single application. ! ! ! With the current implementation, y2l is zeroed internally at first smoother. ! call p%wrk(level)%vy2l%zero() ! call inner_ml_aply(level,p,trans_,work,info) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Inner prec aply') goto 9999 end if call psb_geaxpby(alpha,vy2l,beta_,y,base_desc,info) end associate if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error final update') goto 9999 end if if (do_alloc_wrk) call p%free_wrk(info) call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return contains ! ! ! inner_ml_aply: apply AMG at a given level. ! This routine dispatches the computation according to the type ! specified at the current level. ! Each of the corrections will inturn call recursively this routine. ! ! Assumptions: ! On input: ! mlprec_wkr(level)%vx2l contains the input vector (RHS) ! mlprec_wkr(level)%vy2l contains the initial guess ! ! On output: ! mlprec_wkr(level)%vy2l contains the solution ! ! Constraints: each of the called routines must properly handle ! the input/output conditions for level+1 (i.e. apply ! prolongation/restriction). ! Note: for historical/convenience reasons the prolongator/restrictor ! between level and level+1 are stored at level+1. ! ! recursive subroutine inner_ml_aply(level,p,trans,work,info) implicit none ! Arguments integer(psb_ipk_) :: level type(amg_zprec_type), target, intent(inout) :: p character, intent(in) :: trans complex(psb_dpk_),target :: work(:) integer(psb_ipk_), intent(out) :: info type(psb_z_vect_type) :: res type(psb_z_vect_type), pointer :: current integer(psb_ipk_) :: sweeps_post, sweeps_pre ! Local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me integer(psb_ipk_) :: i, err_act integer(psb_ipk_) :: debug_level, debug_unit integer(psb_ipk_) :: nlev, ilev, sweeps logical :: pre, post character(len=20) :: name name = 'inner_ml_aply' info = psb_success_ call psb_erractionsave(err_act) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() nlev = size(p%precv) if ((level < 1) .or. (level > nlev)) then call psb_errpush(psb_err_internal_error_,name,& & a_err='wrong call level to inner_ml') goto 9999 end if ctxt = p%precv(level)%base_desc%get_context() call psb_info(ctxt, me, np) if(debug_level > 1) then write(debug_unit,*) me,' Start inner_ml_aply at level ',level, info end if if (me >= 0) then select case(p%precv(level)%parms%ml_cycle) case(amg_no_ml_) ! ! No preconditioning, should not really get here ! call psb_errpush(psb_err_internal_error_,name,& & a_err='amg_no_ml_ in mlprc_aply?') goto 9999 case(amg_add_ml_) call amg_z_inner_add(p, level, trans, work) case(amg_mult_ml_,amg_vcycle_ml_, amg_wcycle_ml_) call amg_z_inner_mult(p, level, trans, work) case(amg_kcycle_ml_, amg_kcyclesym_ml_) call amg_z_inner_k_cycle(p, level, trans, work) case default info = psb_err_from_subroutine_ai_ call psb_errpush(info,name,a_err='invalid ml_cycle',& & i_Err=(/p%precv(level)%parms%ml_cycle,izero,izero,izero,izero/)) goto 9999 end select if(debug_level > 1) then write(debug_unit,*) me,' End inner_ml_aply at level ',level end if end if call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return end subroutine inner_ml_aply recursive subroutine amg_z_inner_add(p, level, trans, work) use psb_base_mod use amg_prec_mod implicit none !Input/Oputput variables type(amg_zprec_type), intent(inout) :: p integer(psb_ipk_), intent(in) :: level character, intent(in) :: trans complex(psb_dpk_),target :: work(:) type(psb_z_vect_type) :: res type(psb_z_vect_type), pointer :: current integer(psb_ipk_) :: sweeps_post, sweeps_pre ! Local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me integer(psb_ipk_) :: i, err_act, k integer(psb_ipk_) :: debug_level, debug_unit integer(psb_ipk_) :: nlev, ilev, sweeps logical :: pre, post character(len=20) :: name name = 'inner_inner_add' info = psb_success_ call psb_erractionsave(err_act) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() nlev = size(p%precv) if ((level < 1) .or. (level > nlev)) then call psb_errpush(psb_err_internal_error_,name,& & a_err='wrong call level to inner_add') goto 9999 end if ctxt = p%precv(level)%base_desc%get_context() call psb_info(ctxt, me, np) if(debug_level > 1) then write(debug_unit,*) me,' inner_add at level ',level end if if ((level<1).or.(level>nlev)) then info = psb_err_internal_error_ call psb_errpush(info,name,& & a_err='Invalid LEVEL>NLEV') goto 9999 end if associate(vx2l => p%precv(level)%wrk%vx2l,vy2l => p%precv(level)%wrk%vy2l,& & vtx => p%precv(level)%wrk%vtx,vty => p%precv(level)%wrk%vty,& & base_a => p%precv(level)%base_a, base_desc=>p%precv(level)%base_desc,& & wv => p%precv(level)%wrk%wv) if (me >= 0) then if (allocated(p%precv(level)%sm2a)) then call psb_geaxpby(zone,vx2l,zzero,vy2l,base_desc,info) sweeps = max(p%precv(level)%parms%sweeps_pre,p%precv(level)%parms%sweeps_post) do k=1, sweeps call p%precv(level)%sm%apply(zone,& & vy2l,zzero,vty,& & base_desc, trans,& & ione,work,wv,info,init='Z') call p%precv(level)%sm2a%apply(zone,& & vty,zzero,vy2l,& & base_desc, trans,& & ione,work,wv,info,init='Z') end do else sweeps = p%precv(level)%parms%sweeps_pre call p%precv(level)%sm%apply(zone,& & vx2l,zzero,vy2l,& & base_desc, trans,& & sweeps,work,wv,info,init='Z') end if end if if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during ADD smoother_apply') goto 9999 end if if (level < nlev) then ! Apply the restriction call p%precv(level+1)%map_rstr(zone,vx2l,& & zzero,p%precv(level+1)%wrk%vx2l,& & info,work=work,& & vtx=wv(1),vty=p%precv(level+1)%wrk%wv(1)) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during restriction') goto 9999 end if call inner_ml_aply(level+1,p,trans,work,info) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error in recursive call') goto 9999 end if ! ! Apply the prolongator ! call p%precv(level+1)%map_prol(zone,& & p%precv(level+1)%wrk%vy2l, zone,vy2l,& & info,work=work,& & vtx=p%precv(level+1)%wrk%wv(1),vty=wv(1)) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during prolongation') goto 9999 end if end if end associate call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return end subroutine amg_z_inner_add recursive subroutine amg_z_inner_mult(p, level, trans, work) use psb_base_mod use amg_prec_mod implicit none !Input/Oputput variables type(amg_zprec_type), intent(inout) :: p integer(psb_ipk_), intent(in) :: level character, intent(in) :: trans complex(psb_dpk_),target :: work(:) type(psb_z_vect_type) :: res type(psb_z_vect_type), pointer :: current integer(psb_ipk_) :: sweeps_post, sweeps_pre ! Local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me integer(psb_ipk_) :: i, err_act integer(psb_ipk_) :: debug_level, debug_unit integer(psb_ipk_) :: nlev, ilev, sweeps logical :: pre, post character(len=20) :: name name = 'inner_inner_mult' info = psb_success_ call psb_erractionsave(err_act) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() nlev = size(p%precv) if ((level < 1) .or. (level > nlev)) then call psb_errpush(psb_err_internal_error_,name,& & a_err='wrong call level to inner_mult') goto 9999 end if ctxt = p%precv(level)%base_desc%get_context() call psb_info(ctxt, me, np) if(debug_level > 1) then write(debug_unit,*) me,' inner_mult at level ',level end if sweeps_post = p%precv(level)%parms%sweeps_post sweeps_pre = p%precv(level)%parms%sweeps_pre pre = ((sweeps_pre>0).and.(trans=='N')).or.((sweeps_post>0).and.(trans/='N')) post = ((sweeps_post>0).and.(trans=='N')).or.((sweeps_pre>0).and.(trans/='N')) associate(vx2l => p%precv(level)%wrk%vx2l,vy2l => p%precv(level)%wrk%vy2l,& & vtx => p%precv(level)%wrk%vtx,vty => p%precv(level)%wrk%vty,& & base_a => p%precv(level)%base_a, base_desc=>p%precv(level)%base_desc,& & wv => p%precv(level)%wrk%wv) if (level < nlev) then ! ! Apply the first smoother ! The residual has been prepared before the recursive call. ! if (pre) then if (me >=0) then !!$ write(0,*) me,'Applying smoother pre ', level if (trans == 'N') then sweeps = p%precv(level)%parms%sweeps_pre if (info == psb_success_) call p%precv(level)%sm%apply(zone,& & vx2l,zzero,vy2l,base_desc, trans,& & sweeps,work,wv,info,init='Z') else sweeps = p%precv(level)%parms%sweeps_post if (info == psb_success_) call p%precv(level)%sm2%apply(zone,& & vx2l,zzero,vy2l, base_desc, trans,& & sweeps,work,wv,info,init='Z') end if if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during PRE smoother_apply') goto 9999 end if end if endif ! ! Compute the residual for next level and call recursively ! if (pre) then call psb_geaxpby(zone,vx2l,& & zzero,vty,& & base_desc,info) if (info == psb_success_) call psb_spmm(-zone,base_a,& & vy2l,zone,vty,& & base_desc,info,work=work,trans=trans) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during residue') goto 9999 end if call p%precv(level+1)%map_rstr(zone,vty,& & zzero,p%precv(level+1)%wrk%vx2l,& & info,work=work,& & vtx=wv(1),vty=p%precv(level+1)%wrk%wv(1)) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during restriction') goto 9999 end if else ! Shortcut: just transfer x2l. call p%precv(level+1)%map_rstr(zone,vx2l,& & zzero,p%precv(level+1)%wrk%vx2l,& & info,work=work,& & vtx=wv(1),vty=p%precv(level+1)%wrk%wv(1)) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during restriction') goto 9999 end if endif call inner_ml_aply(level+1,p,trans,work,info) ! ! Apply the prolongator ! call p%precv(level+1)%map_prol(zone,& & p%precv(level+1)%wrk%vy2l,zone,vy2l,& & info,work=work,& & vtx=p%precv(level+1)%wrk%wv(1),vty=wv(1)) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during prolongation') goto 9999 end if if (p%precv(level)%parms%ml_cycle == amg_wcycle_ml_) then if (me >=0) then call psb_geaxpby(zone,vx2l, zzero,vty,& & base_desc,info) if (info == psb_success_) call psb_spmm(-zone,base_a,& & vy2l,zone,vty,& & base_desc,info,work=work,trans=trans) end if if (info == psb_success_) & & call p%precv(level+1)%map_rstr(zone,vty,& & zzero,p%precv(level+1)%wrk%vx2l,info,work=work,& & vtx=wv(1),vty=p%precv(level+1)%wrk%wv(1)) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during W-cycle restriction') goto 9999 end if call inner_ml_aply(level+1,p,trans,work,info) if (info == psb_success_) call p%precv(level+1)%map_prol(zone, & & p%precv(level+1)%wrk%vy2l,zone,vy2l,& & info,work=work,& & vtx=p%precv(level+1)%wrk%wv(1),vty=wv(1)) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during W recusion/prolongation') goto 9999 end if endif if (post) then if (me >=0) then call psb_geaxpby(zone,vx2l,& & zzero,vty,& & base_desc,info) if (info == psb_success_) call psb_spmm(-zone,base_a,& & vy2l, zone,vty,base_desc,info,& & work=work,trans=trans) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during residue') goto 9999 end if ! ! Apply the second smoother ! if (trans == 'N') then sweeps = p%precv(level)%parms%sweeps_post if (info == psb_success_) call p%precv(level)%sm2%apply(zone,& & vty,zone,vy2l, base_desc, trans,& & sweeps,work,wv,info,init='Z') else sweeps = p%precv(level)%parms%sweeps_pre if (info == psb_success_) call p%precv(level)%sm%apply(zone,& & vty,zone,vy2l, base_desc, trans,& & sweeps,work,wv,info,init='Z') end if end if if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during POST smoother_apply') goto 9999 end if endif else if (level == nlev) then !!$ write(0,*) me,'Applying smoother at top level ',psb_errstatus_fatal() if (me >=0) then sweeps = p%precv(level)%parms%sweeps_pre if (info == psb_success_) call p%precv(level)%sm%apply(zone,& & vx2l,zzero,vy2l,base_desc, trans,& & sweeps,work,wv,info) end if !!$ write(0,*) me,' Done applying smoother at top level ',psb_errstatus_fatal() else info = psb_err_internal_error_ call psb_errpush(info,name,& & a_err='Invalid LEVEL vs NLEV') goto 9999 end if end associate 9998 continue call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return end subroutine amg_z_inner_mult recursive subroutine amg_z_inner_k_cycle(p, level, trans, work,u) use psb_base_mod use amg_prec_mod implicit none !Input/Oputput variables type(amg_zprec_type), intent(inout) :: p integer(psb_ipk_), intent(in) :: level character, intent(in) :: trans complex(psb_dpk_),target :: work(:) type(psb_z_vect_type),intent(inout), optional :: u type(psb_z_vect_type) :: res type(psb_z_vect_type), pointer :: current integer(psb_ipk_) :: sweeps_post, sweeps_pre ! Local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me integer(psb_ipk_) :: i, err_act integer(psb_ipk_) :: debug_level, debug_unit integer(psb_ipk_) :: nlev, ilev, sweeps logical :: pre, post character(len=20) :: name name = 'inner_kcycle' info = psb_success_ call psb_erractionsave(err_act) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() nlev = size(p%precv) if ((level < 1) .or. (level > nlev)) then call psb_errpush(psb_err_internal_error_,name,& & a_err='wrong call level to inner_add') goto 9999 end if ctxt = p%precv(level)%base_desc%get_context() call psb_info(ctxt, me, np) if(debug_level > 1) then write(debug_unit,*) me,name,' start at level ',level end if if ((level<1).or.(level>nlev)) then info = psb_err_internal_error_ call psb_errpush(info,name,& & a_err='Invalid LEVEL>NLEV') goto 9999 end if !K cycle associate(vx2l => p%precv(level)%wrk%vx2l,vy2l => p%precv(level)%wrk%vy2l,& & vtx => p%precv(level)%wrk%vtx,vty => p%precv(level)%wrk%vty,& & base_a => p%precv(level)%base_a, base_desc=>p%precv(level)%base_desc,& & wv => p%precv(level)%wrk%wv(8:)) if (level == nlev) then if (me >= 0) then ! ! Apply smoother ! sweeps = p%precv(level)%parms%sweeps_pre if (info == psb_success_) call p%precv(level)%sm%apply(zone,& & vx2l,zzero,vy2l,base_desc, trans,& & sweeps,work,wv,info,init='Z') end if else if (level < nlev) then if (me >= 0) then if (trans == 'N') then sweeps = p%precv(level)%parms%sweeps_pre if (info == psb_success_) call p%precv(level)%sm%apply(zone,& & vx2l,zzero,vy2l,base_desc, trans,& & sweeps,work,wv,info,init='Z') else sweeps = p%precv(level)%parms%sweeps_post if (info == psb_success_) call p%precv(level)%sm2%apply(zone,& & vx2l,zzero,vy2l,base_desc, trans,& & sweeps,work,wv,info,init='Z') end if if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during 2-PRE smoother_apply') goto 9999 end if ! ! Compute the residual and call recursively ! call psb_geaxpby(zone,vx2l,& & zzero,vty,& & base_desc,info) if (info == psb_success_) call psb_spmm(-zone,base_a,& & vy2l,zone,vty,base_desc,info,work=work,trans=trans) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during residue') goto 9999 end if end if ! Apply the restriction call p%precv(level + 1)%map_rstr(zone,vty,& & zzero,p%precv(level + 1)%wrk%vx2l,& &info,work=work,& & vtx=wv(1),vty=p%precv(level+1)%wrk%wv(1)) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during restriction') goto 9999 end if !Set the preconditioner if (level <= nlev - 2 ) then if (p%precv(level)%parms%ml_cycle == amg_kcyclesym_ml_) then call amg_zinneritkcycle(p, level + 1, trans, work, 'FCG') elseif (p%precv(level)%parms%ml_cycle == amg_kcycle_ml_) then call amg_zinneritkcycle(p, level + 1, trans, work, 'GCR') else call psb_errpush(psb_err_internal_error_,name,& & a_err='Bad value for ml_cycle') goto 9999 endif else call inner_ml_aply(level + 1 ,p,trans,work,info) endif if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error in recursive call') goto 9999 end if ! ! Apply the prolongator ! call p%precv(level+1)%map_prol(zone,& & p%precv(level+1)%wrk%vy2l,zone,vy2l,& & info,work=work,& & vtx=p%precv(level+1)%wrk%wv(1),vty=wv(1)) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during prolongation') goto 9999 end if if (me >= 0) then ! ! Compute the residual ! call psb_geaxpby(zone,vx2l,& & zzero,vty,base_desc,info) call psb_spmm(-zone,base_a,vy2l,& & zone,vty,base_desc,info,& & work=work,trans=trans) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during residue') goto 9999 end if ! ! Apply the smoother ! if (trans == 'N') then sweeps = p%precv(level)%parms%sweeps_post if (info == psb_success_) call p%precv(level)%sm2%apply(zone,& & vty,zone,vy2l,base_desc, trans,& & sweeps,work,wv,info,init='Z') else sweeps = p%precv(level)%parms%sweeps_pre if (info == psb_success_) call p%precv(level)%sm%apply(zone,& & vty,zone,vy2l,base_desc, trans,& & sweeps,work,wv,info,init='Z') end if if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during POST smoother_apply') goto 9999 end if end if else info = psb_err_internal_error_ call psb_errpush(info,name,& & a_err='Invalid LEVEL vs NLEV') goto 9999 endif end associate call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return end subroutine amg_z_inner_k_cycle recursive subroutine amg_zinneritkcycle(p, level, trans, work, innersolv) use psb_base_mod use amg_prec_mod use amg_z_inner_mod, amg_protect_name => amg_zmlprec_aply implicit none !Input/Oputput variables type(amg_zprec_type), intent(inout) :: p integer(psb_ipk_), intent(in) :: level character, intent(in) :: trans character(len=*), intent(in) :: innersolv complex(psb_dpk_),target :: work(:) !Other variables type(psb_z_vect_type) :: v, w, rhs, v1, x type(psb_z_vect_type) :: d0, d1 complex(psb_dpk_) :: delta_old, rhs_norm, alpha, tau, tau1, tau2, tau3, tau4, beta real(psb_dpk_) :: l2_norm, delta, rtol=0.25, delta0, tnrm complex(psb_dpk_), allocatable :: temp_v(:) integer(psb_ipk_) :: info, nlev, i, iter, max_iter=2, idx character(len=20) :: name = 'innerit_k_cycle' if (size(p%precv(level)%wrk%wv)<7) then info = psb_err_internal_error_ call psb_errpush(info,name,& & a_err='invalid wv size') goto 9999 end if associate(vx2l => p%precv(level)%wrk%vx2l,vy2l => p%precv(level)%wrk%vy2l,& & vtx => p%precv(level)%wrk%vtx,vty => p%precv(level)%wrk%vty,& & base_a => p%precv(level)%base_a, base_desc=>p%precv(level)%base_desc,& & v => p%precv(level)%wrk%wv(1), & & w => p%precv(level)%wrk%wv(2),& & rhs => p%precv(level)%wrk%wv(3), & & v1 => p%precv(level)%wrk%wv(4), & & x => p%precv(level)%wrk%wv(5), & & d0 => p%precv(level)%wrk%wv(6), & & d1 => p%precv(level)%wrk%wv(7)) call x%zero() ! rhs=vx2l and w=rhs call psb_geaxpby(zone,vx2l,zzero,rhs, base_desc,info) call psb_geaxpby(zone,vx2l,zzero,w, base_desc,info) if (psb_errstatus_fatal()) then nc2l = base_desc%get_local_cols() info=psb_err_alloc_request_ call psb_errpush(info,name,i_err=(/2*nc2l,izero,izero,izero,izero/),& & a_err='complex(psb_dpk_)') goto 9999 end if delta0 = psb_genrm2(w, base_desc, info) !Apply the preconditioner call vy2l%zero() idx=0 call inner_ml_aply(level,p,trans,work,info) call psb_geaxpby(zone,vy2l,zzero,d0,base_desc,info) call psb_spmm(zone,base_a,d0,zzero,v,base_desc,info) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during residue') goto 9999 end if !FCG if (psb_toupper(trim(innersolv)) == 'FCG') then delta_old = psb_gedot(d0, w, base_desc, info) tau = psb_gedot(d0, v, base_desc, info) !GCR else if (psb_toupper(trim(innersolv)) == 'GCR') then delta_old = psb_gedot(v, w, base_desc, info) tau = psb_gedot(v, v, base_desc, info) else call psb_errpush(psb_err_internal_error_,name,& & a_err='Invalid inner solver') goto 9999 endif alpha = delta_old/tau !Update residual w call psb_geaxpby(-alpha, v, zone, w, base_desc, info) l2_norm = psb_genrm2(w, base_desc, info) iter = 0 if (l2_norm <= rtol*delta0) then !Update solution x call psb_geaxpby(alpha, d0, zone, x, base_desc, info) else iter = iter + 1 idx=mod(iter,2) !Apply preconditioner call psb_geaxpby(zone,w,zzero,vx2l,base_desc,info) call inner_ml_aply(level,p,trans,work,info) call psb_geaxpby(zone,vy2l,zzero,d1,base_desc,info) !Sparse matrix vector product call psb_spmm(zone,base_a,d1,zzero,v1,base_desc,info) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during residue') goto 9999 end if !tau1, tau2, tau3, tau4 if (psb_toupper(trim(innersolv)) == 'FCG') then tau1= psb_gedot(d1, v, base_desc, info) tau2= psb_gedot(d1, v1, base_desc, info) tau3= psb_gedot(d1, w, base_desc, info) tau4= tau2 - (tau1*tau1)/tau else if (psb_toupper(trim(innersolv)) == 'GCR') then tau1= psb_gedot(v1, v, base_desc, info) tau2= psb_gedot(v1, v1, base_desc, info) tau3= psb_gedot(v1, w, base_desc, info) tau4= tau2 - (tau1*tau1)/tau else call psb_errpush(psb_err_internal_error_,name,& & a_err='Invalid inner solver') goto 9999 endif !Update solution alpha=alpha-(tau1*tau3)/(tau*tau4) call psb_geaxpby(alpha,d0,zone,x,base_desc,info) alpha=tau3/tau4 call psb_geaxpby(alpha,d1,zone,x,base_desc,info) endif call psb_geaxpby(zone,x,zzero,vy2l,base_desc,info) end associate 9999 continue call psb_erractionrestore(err_act) if (err_act.eq.psb_act_abort_) then call psb_error() return end if return end subroutine amg_zinneritkcycle end subroutine amg_zmlprec_aply_vect ! ! Old routine for arrays instead of psb_X_vector. To be deleted eventually. ! ! subroutine amg_zmlprec_aply(alpha,p,x,beta,y,desc_data,trans,work,info) use psb_base_mod use amg_base_prec_type use amg_z_inner_mod, amg_protect_name => amg_zmlprec_aply implicit none ! Arguments type(psb_desc_type),intent(in) :: desc_data type(amg_zprec_type), intent(inout) :: p complex(psb_dpk_),intent(in) :: alpha,beta complex(psb_dpk_),intent(inout) :: x(:) complex(psb_dpk_),intent(inout) :: y(:) character, intent(in) :: trans complex(psb_dpk_),target :: work(:) integer(psb_ipk_), intent(out) :: info ! Local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me integer(psb_ipk_) :: err_act integer(psb_ipk_) :: debug_level, debug_unit, nlev,nc2l,nr2l,level character(len=20) :: name character :: trans_ type amg_mlwrk_type complex(psb_dpk_), allocatable :: tx(:), ty(:), x2l(:), y2l(:) end type amg_mlwrk_type type(amg_mlwrk_type), allocatable, target :: mlwrk(:) name='amg_zmlprec_aply' info = psb_success_ call psb_erractionsave(err_act) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() ctxt = desc_data%get_context() call psb_info(ctxt, me, np) if (debug_level >= psb_debug_inner_) & & write(debug_unit,*) me,' ',trim(name),& & ' Entry ', size(p%precv) trans_ = psb_toupper(trans) nlev = size(p%precv) allocate(mlwrk(nlev),stat=info) if (info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='Allocate') goto 9999 end if level = 1 do level = 1, nlev call psb_geasb(mlwrk(level)%x2l,& & p%precv(level)%base_desc,info) call psb_geasb(mlwrk(level)%y2l,& & p%precv(level)%base_desc,info) call psb_geasb(mlwrk(level)%tx,& & p%precv(level)%base_desc,info) call psb_geasb(mlwrk(level)%ty,& & p%precv(level)%base_desc,info) if (psb_errstatus_fatal()) then nc2l = p%precv(level)%base_desc%get_local_cols() info=psb_err_alloc_request_ call psb_errpush(info,name,i_err=(/2*nc2l,izero,izero,izero,izero/),& & a_err='complex(psb_dpk_)') goto 9999 end if end do mlwrk(level)%x2l(:) = x(:) mlwrk(level)%y2l(:) = zzero call inner_ml_aply(level,p,mlwrk,trans_,work,info) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Inner prec aply') goto 9999 end if call psb_geaxpby(alpha,mlwrk(level)%y2l,beta,y,& & p%precv(level)%base_desc,info) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error final update') goto 9999 end if call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return contains ! ! ! inner_ml_aply: apply AMG at a given level. ! This routine dispatches the computation according to the type ! specified at the current level. ! Each of the corrections will inturn call recursively this routine. ! ! Assumptions: ! On input: ! mlprec_wkr(level)%vx2l contains the input vector (RHS) ! mlprec_wkr(level)%vy2l contains the initial guess ! ! On output: ! mlprec_wkr(level)%vy2l contains the solution ! ! Constraints: each of the called routines must properly handle ! the input/output conditions for level+1 (i.e. apply ! prolongation/restriction). ! Note: for historical/convenience reasons the prolongator/restrictor ! between level and level+1 are stored at level+1. ! ! recursive subroutine inner_ml_aply(level,p,mlwrk,trans,work,info) implicit none ! Arguments integer(psb_ipk_) :: level type(amg_zprec_type), target, intent(inout) :: p type(amg_mlwrk_type), intent(inout), target :: mlwrk(:) character, intent(in) :: trans complex(psb_dpk_),target :: work(:) integer(psb_ipk_), intent(out) :: info type(psb_z_vect_type) :: res type(psb_z_vect_type), pointer :: current integer(psb_ipk_) :: sweeps_post, sweeps_pre ! Local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me integer(psb_ipk_) :: i, err_act integer(psb_ipk_) :: debug_level, debug_unit integer(psb_ipk_) :: nlev, ilev, sweeps logical :: pre, post character(len=20) :: name name = 'inner_ml_aply' info = psb_success_ call psb_erractionsave(err_act) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() nlev = size(p%precv) if ((level < 1) .or. (level > nlev)) then call psb_errpush(psb_err_internal_error_,name,& & a_err='wrong call level to inner_ml') goto 9999 end if ctxt = p%precv(level)%base_desc%get_context() call psb_info(ctxt, me, np) if(debug_level > 1) then write(debug_unit,*) me,' inner_ml_aply at level ',level end if select case(p%precv(level)%parms%ml_cycle) case(amg_no_ml_) ! ! No preconditioning, should not really get here ! call psb_errpush(psb_err_internal_error_,name,& & a_err='amg_no_ml_ in mlprc_aply?') goto 9999 case(amg_add_ml_) call amg_z_inner_add(p, mlwrk, level, trans, work) case(amg_mult_ml_, amg_vcycle_ml_, amg_wcycle_ml_) call amg_z_inner_mult(p, mlwrk, level, trans, work) ! !$ case(amg_kcycle_ml_, amg_kcyclesym_ml_) ! !$ ! !$ call amg_z_inner_k_cycle(p, mlwrk, level, trans, work) case default info = psb_err_from_subroutine_ai_ call psb_errpush(info,name,a_err='invalid ml_cycle',& & i_Err=(/p%precv(level)%parms%ml_cycle,izero,izero,izero,izero/)) goto 9999 end select call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return end subroutine inner_ml_aply recursive subroutine amg_z_inner_add(p, mlwrk, level, trans, work) use psb_base_mod use amg_prec_mod implicit none !Input/Oputput variables type(amg_zprec_type), intent(inout) :: p type(amg_mlwrk_type), target, intent(inout) :: mlwrk(:) integer(psb_ipk_), intent(in) :: level character, intent(in) :: trans complex(psb_dpk_),target :: work(:) type(psb_z_vect_type) :: res type(psb_z_vect_type), pointer :: current integer(psb_ipk_) :: sweeps_post, sweeps_pre ! Local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me integer(psb_ipk_) :: i, err_act integer(psb_ipk_) :: debug_level, debug_unit integer(psb_ipk_) :: nlev, ilev, sweeps logical :: pre, post character(len=20) :: name name = 'inner_inner_add' info = psb_success_ call psb_erractionsave(err_act) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() nlev = size(p%precv) if ((level < 1) .or. (level > nlev)) then call psb_errpush(psb_err_internal_error_,name,& & a_err='wrong call level to inner_add') goto 9999 end if ctxt = p%precv(level)%base_desc%get_context() call psb_info(ctxt, me, np) if(debug_level > 1) then write(debug_unit,*) me,' inner_add at level ',level end if if ((level<1).or.(level>nlev)) then info = psb_err_internal_error_ call psb_errpush(info,name,& & a_err='Invalid LEVEL>NLEV') goto 9999 end if sweeps = p%precv(level)%parms%sweeps_pre call p%precv(level)%sm%apply(zone,& & mlwrk(level)%x2l,zzero,mlwrk(level)%y2l,& & p%precv(level)%base_desc, trans,& & sweeps,work,info) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during ADD smoother_apply') goto 9999 end if if (level < nlev) then ! Apply the restriction call p%precv(level+1)%map_rstr(zone,mlwrk(level)%x2l,& & zzero,mlwrk(level+1)%x2l,& & info,work=work) mlwrk(level+1)%y2l(:) = zzero if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during restriction') goto 9999 end if call inner_ml_aply(level+1,p,mlwrk,trans,work,info) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error in recursive call') goto 9999 end if ! ! Apply the prolongator and add correction. ! call p%precv(level+1)%map_prol(zone,& & mlwrk(level+1)%y2l,zone,mlwrk(level)%y2l,& & info,work=work) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during prolongation') goto 9999 end if end if call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return end subroutine amg_z_inner_add recursive subroutine amg_z_inner_mult(p, mlwrk, level, trans, work) use psb_base_mod use amg_prec_mod implicit none !Input/Oputput variables type(amg_zprec_type), intent(inout) :: p type(amg_mlwrk_type), target, intent(inout) :: mlwrk(:) integer(psb_ipk_), intent(in) :: level character, intent(in) :: trans complex(psb_dpk_),target :: work(:) type(psb_z_vect_type) :: res type(psb_z_vect_type), pointer :: current integer(psb_ipk_) :: sweeps_post, sweeps_pre ! Local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me integer(psb_ipk_) :: i, err_act integer(psb_ipk_) :: debug_level, debug_unit integer(psb_ipk_) :: nlev, ilev, sweeps logical :: pre, post character(len=20) :: name name = 'inner_inner_mult' info = psb_success_ call psb_erractionsave(err_act) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() nlev = size(p%precv) if ((level < 1) .or. (level > nlev)) then call psb_errpush(psb_err_internal_error_,name,& & a_err='wrong call level to inner_mult') goto 9999 end if ctxt = p%precv(level)%base_desc%get_context() call psb_info(ctxt, me, np) if(debug_level > 1) then write(debug_unit,*) me,' inner_mult at level ',level end if if ((level < nlev).or.(nlev == 1)) then sweeps_post = p%precv(level)%parms%sweeps_post sweeps_pre = p%precv(level)%parms%sweeps_pre else sweeps_post = p%precv(level-1)%parms%sweeps_post sweeps_pre = p%precv(level-1)%parms%sweeps_pre endif pre = ((sweeps_pre>0).and.(trans=='N')).or.((sweeps_post>0).and.(trans/='N')) post = ((sweeps_post>0).and.(trans=='N')).or.((sweeps_pre>0).and.(trans/='N')) if (level < nlev) then ! ! Apply the first smoother ! if (pre) then if (trans == 'N') then sweeps = p%precv(level)%parms%sweeps_pre if (info == psb_success_) call p%precv(level)%sm%apply(zone,& & mlwrk(level)%x2l,zzero,mlwrk(level)%y2l,& & p%precv(level)%base_desc, trans,& & sweeps,work,info,init='Y') else sweeps = p%precv(level)%parms%sweeps_post if (info == psb_success_) call p%precv(level)%sm2%apply(zone,& & mlwrk(level)%x2l,zzero,mlwrk(level)%y2l,& & p%precv(level)%base_desc, trans,& & sweeps,work,info,init='Y') end if if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during PRE smoother_apply') goto 9999 end if endif ! ! Compute the residual and call recursively ! if (pre) then call psb_geaxpby(zone,mlwrk(level)%x2l,& & zzero,mlwrk(level)%ty,& & p%precv(level)%base_desc,info) if (info == psb_success_) call psb_spmm(-zone,p%precv(level)%base_a,& & mlwrk(level)%y2l,zone,mlwrk(level)%ty,& & p%precv(level)%base_desc,info,work=work,trans=trans) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during residue') goto 9999 end if call p%precv(level+1)%map_rstr(zone,mlwrk(level)%ty,& & zzero,mlwrk(level+1)%x2l,info,work=work) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during restriction') goto 9999 end if else ! Shortcut: just transfer x2l. call p%precv(level+1)%map_rstr(zone,mlwrk(level)%x2l,& & zzero,mlwrk(level+1)%x2l,info,work=work) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during restriction') goto 9999 end if endif ! First guess is zero mlwrk(level+1)%y2l(:) = zzero call inner_ml_aply(level+1,p,mlwrk,trans,work,info) if (p%precv(level)%parms%ml_cycle == amg_wcycle_ml_) then ! On second call will use output y2l as initial guess if (info == psb_success_) call inner_ml_aply(level+1,p,mlwrk,trans,work,info) endif if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error in recursive call') goto 9999 end if ! ! Apply the prolongator ! call p%precv(level+1)%map_prol(zone,mlwrk(level+1)%y2l,& & zone,mlwrk(level)%y2l,info,work=work) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during prolongation') goto 9999 end if ! ! Compute the residual ! if (post) then call psb_geaxpby(zone,mlwrk(level)%x2l,& & zzero,mlwrk(level)%tx,& & p%precv(level)%base_desc,info) call psb_spmm(-zone,p%precv(level)%base_a,mlwrk(level)%y2l,& & zone,mlwrk(level)%tx,p%precv(level)%base_desc,info,& & work=work,trans=trans) if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during residue') goto 9999 end if ! ! Apply the second smoother ! if (trans == 'N') then sweeps = p%precv(level)%parms%sweeps_post if (info == psb_success_) call p%precv(level)%sm2%apply(zone,& & mlwrk(level)%tx,zone,mlwrk(level)%y2l,& & p%precv(level)%base_desc, trans,& & sweeps,work,info,init='Z') else sweeps = p%precv(level)%parms%sweeps_pre if (info == psb_success_) call p%precv(level)%sm%apply(zone,& & mlwrk(level)%tx,zone,mlwrk(level)%y2l,& & p%precv(level)%base_desc, trans,& & sweeps,work,info,init='Z') end if if (info /= psb_success_) then call psb_errpush(psb_err_internal_error_,name,& & a_err='Error during POST smoother_apply') goto 9999 end if endif else if (level == nlev) then sweeps = p%precv(level)%parms%sweeps_pre if (info == psb_success_) call p%precv(level)%sm%apply(zone,& & mlwrk(level)%x2l,zzero,mlwrk(level)%y2l,& & p%precv(level)%base_desc, trans,& & sweeps,work,info) else info = psb_err_internal_error_ call psb_errpush(info,name,& & a_err='Invalid LEVEL vs NLEV') goto 9999 end if call psb_erractionrestore(err_act) return 9999 call psb_error_handler(err_act) return end subroutine amg_z_inner_mult end subroutine amg_zmlprec_aply