!!$
!!$
!!$ 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 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. 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.
!!$
!!$
! File: mld_cmlprec_aply.f90
!
! Subroutine: mld_cmlprec_aply
! Version: complex
!
! This routine computes
!
! Y = beta*Y + alpha*op(M^(-1))*X,
! where
! - M is a multilevel domain decomposition (Schwarz) preconditioner associated
! to a certain matrix A and stored in p,
! - op(M^(-1)) is M^(-1) or its transpose, according to the value of trans,
! - X and Y are vectors,
! - alpha and beta are scalars.
!
! 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 mld_Tonelev_type in mld_prec_type.f90).
! For each level ilev, the 'base preconditioner' K(ilev) is stored in
! p%precv(ilev)%prec
! and is associated to a matrix A(ilev), obtained by 'tranferring' the original
! matrix A (i.e. the matrix to be preconditioned) to the level ilev, 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.
!
! For a general description of (parallel) multilevel preconditioners see
! - B.F. Smith, P.E. Bjorstad & W.D. Gropp,
! Domain decomposition: parallel multilevel methods for elliptic partial
! differential equations,
! Cambridge University Press, 1996.
! - K. Stuben,
! Algebraic Multigrid (AMG): An Introduction with Applications,
! GMD Report N. 70, 1999.
!
!
! Arguments:
! alpha - complex(psb_spk_), input.
! The scalar alpha.
! p - type(mld_cprec_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(ilev)%prec - type(psb_dbaseprec_type)
! The 'base preconditioner' for the current level
! p%precv(ilev)%ac - type(psb_cspmat_type)
! The local part of the matrix A(ilev).
! p%precv(ilev)%desc_ac - type(psb_desc_type).
! The communication descriptor associated to the sparse
! matrix A(ilev)
! p%precv(ilev)%map - type(psb_inter_desc_type)
! Stores the linear operators mapping level (ilev-1)
! to (ilev) and vice versa. These are the restriction
! and prolongation operators described in the sequel.
! p%precv(ilev)%iprcparm - integer, dimension(:), allocatable.
! The integer parameters defining the multilevel
! strategy
! p%precv(ilev)%rprcparm - real(psb_spk_), dimension(:), allocatable.
! The real parameters defining the multilevel strategy
! p%precv(ilev)%mlia - integer, dimension(:), allocatable.
! The aggregation map (ilev-1) --> (ilev).
! p%precv(ilev)%nlaggr - integer, dimension(:), allocatable.
! The number of aggregates (rows of A(ilev)) on the
! various processes.
! p%precv(ilev)%base_a - type(psb_cspmat_type), pointer.
! Pointer (really a pointer!) to the base matrix of
! the current level, i.e. the local part of A(ilev);
! so we have a unified treatment of residuals. We
! need this to avoid passing explicitly the matrix
! A(ilev) to the routine which applies the
! preconditioner.
! p%precv(ilev)%base_desc - type(psb_desc_type), pointer.
! Pointer to the communication descriptor associated
! to the sparse matrix pointed by base_a.
!
! x - complex(psb_spk_), dimension(:), input.
! The local part of the vector X.
! beta - complex(psb_spk_), input.
! The scalar beta.
! y - complex(psb_spk_), 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_spk_), 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(ilev) is computed instead of
! the ILU one, by using UMFPACK or SuperLU, the corresponding L and U factors
! are stored in data structures provided by UMFPACK or SuperLU and pointed by
! p%precv(ilev)%prec%iprcparm(mld_umf_ptr) or p%precv(ilev)%prec%iprcparm(mld_slu_ptr),
! respectively.
!
! This routine is formulated in a recursive way, so it is very compact.
! In the original code the recursive formulation was explicitly unrolled.
! The description of the various alternatives is given below in the explicit
! formulation, hopefully it will be clear enough when related to the
! recursive formulation.
!
! This routine computes
! Y = beta*Y + alpha*op(M^(-1))*X,
! where
! - M is a multilevel domain decomposition (Schwarz) preconditioner
! associated to a certain matrix A and stored in p,
! - op(M^(-1)) is M^(-1) or its transpose, according to the value of trans,
! - X and Y are vectors,
! - alpha and beta are scalars.
!
! 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.
!
! The 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 mld_Tonelev_type in mld_prec_type.f90).
! For each level ilev, the 'base preconditioner' K(ilev) is stored in
! p%precv(ilev)%prec
! and is associated to a matrix A(ilev), obtained by 'tranferring' the original
! matrix A (i.e. the matrix to be preconditioned) to the level ilev, 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.
!
!
! Additive multilevel
! This is additive both within the levels and among levels.
!
! For details on the additive multilevel Schwarz preconditioner, see
! Algorithm 3.1.1 in the book:
! B.F. Smith, P.E. Bjorstad & W.D. Gropp,
! Domain decomposition: parallel multilevel methods for elliptic partial
! differential equations, Cambridge University Press, 1996.
!
! (P(ilev) denotes the smoothed prolongator from level ilev to level
! ilev-1, while PT(ilev) denotes its transpose, i.e. the corresponding
! restriction operator from level ilev-1 to level ilev).
!
! 0. Transfer the outer vector Xest to x(1) (inner X at level 1)
!
! 1. If ilev > 1 Transfer x(ilev-1) to the current level:
! x(ilev) = PT(ilev)*x(ilev-1)
!
! 2. Apply the base preconditioner at the current level:
! ! The sum over the subdomains is carried out in the
! ! application of K(ilev)
! y(ilev) = (K(ilev)^(-1))*x(ilev)
!
! 3. If ilev < nlevel
! a. Call recursively itself
! b. Transfer y(ilev+1) to the current level:
! y(ilev) = y(ilev) + P(ilev+1)*y(ilev+1)
!
! 4. if ilev == 1 Transfer the inner y to the external:
! Yext = beta*Yext + alpha*y(1)
!
!
!
! Hybrid multiplicative---pre-smoothing
!
! The preconditioner M is hybrid in the sense that it is multiplicative through the
! levels and additive inside a level.
!
! For details on the pre-smoothed hybrid multiplicative multilevel Schwarz
! preconditioner, see Algorithm 3.2.1 in the book:
! B.F. Smith, P.E. Bjorstad & W.D. Gropp,
! Domain decomposition: parallel multilevel methods for elliptic partial
! differential equations, Cambridge University Press, 1996.
!
!
! 0. Transfer the outer vector Xest to x(1) (inner X at level 1)
!
! 1. If ilev >1 Transfer x(ilev-1) to the current level:
! x(ilev) = PT(ilev)*x(ilev-1)
!
! 2. Apply the base preconditioner at the current level:
! ! The sum over the subdomains is carried out in the
! ! application of K(ilev).
! y(ilev) = (K(ilev)^(-1))*x(ilev)
!
! 3. If ilev < nlevel
! a. Compute the residual:
! r(ilev) = x(ilev) - A(ilev)*y(ilev)
! b. Call recursively itself passing
! r(ilev) for transfer to the next level
! (r(ilev) matches x(ilev-1) in step 1)
! c. Transfer y(ilev+1) to the current level:
! y(ilev) = y(ilev) + P(ilev+1)*y(ilev+1)
!
! 4. if ilev == 1 Transfer the inner y to the external:
! Yext = beta*Yext + alpha*y(1)
!
!
!
! Hybrid multiplicative, post-smoothing variant
!
! 0. Transfer the outer vector Xest to x(1) (inner X at level 1)
!
! 1. If ilev > 1 Transfer x(ilev-1) to the current level:
! x(ilev) = PT(ilev)*x(ilev-1)
!
! 2. If ilev < nlev
! a. Call recursively itself passing
! x(ilev) for transfer to the next level
! b. Transfer y(ilev+1) to the current level:
! y(ilev) = P(ilev+1)*y(ilev+1)
! c. Compute the residual:
! x(ilev) = x(ilev) - A(ilev)*y(ilev)
! d. Apply the base preconditioner to the residual at the current level:
! ! The sum over the subdomains is carried out in the
! ! application of K(ilev)
! y(ilev) = y(ilev) + (K(ilev)^(-1))*x(ilev)
! Else
! Apply the base preconditioner to the residual at the current level:
! ! The sum over the subdomains is carried out in the
! ! application of K(ilev)
! y(ilev) = (K(ilev)^(-1))*x(ilev)
!
! 4. if ilev == 1 Transfer the inner Y to the external:
! Yext = beta*Yext + alpha*Y(1)
!
!
!
! Hybrid multiplicative, pre- and post-smoothing (two-side) variant
!
! For details on the symmetrized hybrid multiplicative multilevel Schwarz
! preconditioner, see Algorithm 3.2.2 in the book:
! B.F. Smith, P.E. Bjorstad & W.D. Gropp,
! Domain decomposition: parallel multilevel methods for elliptic partial
! differential equations, Cambridge University Press, 1996.
!
!
! 0. Transfer the outer vector Xest to x(1) (inner X at level 1)
!
! 1. If ilev > 1 Transfer x(ilev-1) to the current level:
! x(ilev) = PT(ilev)*x(ilev-1)
!
! 2. Apply the base preconditioner at the current level:
! ! The sum over the subdomains is carried out in the
! ! application of K(ilev)
! y(ilev) = (K(ilev)^(-1))*x(ilev)
!
! 3. If ilev < nlevel
! a. Compute the residual:
! r(ilev) = x(ilev) - A(ilev)*y(ilev)
! b. Call recursively itself passing
! r(ilev) for transfer to the next level
! (r(ilev) matches x(ilev-1) in step 1)
! c. Transfer y(ilev+1) to the current level:
! y(ilev) = y(ilev) + P(ilev+1)*y(ilev+1)
! d. Compute the residual:
! r(ilev) = x(ilev) - A(ilev)*y(ilev)
! e. Apply the base preconditioner at the current level to the residual:
! ! The sum over the subdomains is carried out in the
! ! application of K(ilev)
! y(ilev) = y(ilev) + (K(ilev)^(-1))*r(ilev)
!
! 5. if ilev == 1 Transfer the inner Y to the external:
! Yext = beta*Yext + alpha*Y(1)
!
!
subroutine mld_cmlprec_aply(alpha,p,x,beta,y,desc_data,trans,work,info)
use psb_base_mod
use mld_c_inner_mod, mld_protect_name => mld_cmlprec_aply
implicit none
! Arguments
type(psb_desc_type),intent(in) :: desc_data
type(mld_cprec_type), intent(in) :: p
complex(psb_spk_),intent(in) :: alpha,beta
complex(psb_spk_),intent(inout) :: x(:)
complex(psb_spk_),intent(inout) :: y(:)
character, intent(in) :: trans
complex(psb_spk_),target :: work(:)
integer, intent(out) :: info
! Local variables
integer :: ictxt, np, me, err_act
integer :: debug_level, debug_unit, nlev,nc2l,nr2l,level
character(len=20) :: name
character :: trans_
type mld_mlprec_wrk_type
complex(psb_spk_), allocatable :: tx(:), ty(:), x2l(:), y2l(:)
end type mld_mlprec_wrk_type
type(mld_mlprec_wrk_type), allocatable :: mlprec_wrk(:)
name='mld_cmlprec_aply'
info = psb_success_
call psb_erractionsave(err_act)
debug_unit = psb_get_debug_unit()
debug_level = psb_get_debug_level()
ictxt = desc_data%get_context()
call psb_info(ictxt, 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(mlprec_wrk(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
nc2l = p%precv(level)%base_desc%get_local_cols()
nr2l = p%precv(level)%base_desc%get_local_rows()
allocate(mlprec_wrk(level)%x2l(nc2l),mlprec_wrk(level)%y2l(nc2l),&
& stat=info)
if (info /= psb_success_) then
info=psb_err_alloc_request_
call psb_errpush(info,name,i_err=(/size(x)+size(y),0,0,0,0/),&
& a_err='complex(psb_spk_)')
goto 9999
end if
mlprec_wrk(level)%x2l(:) = x(:)
mlprec_wrk(level)%y2l(:) = czero
call inner_ml_aply(level,p,mlprec_wrk,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,mlprec_wrk(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 continue
call psb_erractionrestore(err_act)
if (err_act.eq.psb_act_abort_) then
call psb_error()
return
end if
return
contains
recursive subroutine inner_ml_aply(level,p,mlprec_wrk,trans,work,info)
implicit none
! Arguments
integer :: level
type(mld_cprec_type), intent(in) :: p
type(mld_mlprec_wrk_type), intent(inout) :: mlprec_wrk(:)
character, intent(in) :: trans
complex(psb_spk_),target :: work(:)
integer, intent(out) :: info
! Local variables
integer :: ictxt,np,me,i, nr2l,nc2l,err_act
integer :: debug_level, debug_unit
integer :: nlev, ilev, sweeps
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
ictxt = p%precv(level)%base_desc%get_context()
call psb_info(ictxt, me, np)
if (level > 1) then
nc2l = p%precv(level)%base_desc%get_local_cols()
nr2l = p%precv(level)%base_desc%get_local_rows()
allocate(mlprec_wrk(level)%x2l(nc2l),&
& mlprec_wrk(level)%y2l(nc2l),&
& stat=info)
if (info /= psb_success_) then
info=psb_err_alloc_request_
call psb_errpush(info,name,i_err=(/2*nc2l,0,0,0,0/),&
& a_err='complex(psb_spk_)')
goto 9999
end if
end if
select case(p%precv(level)%parms%ml_type)
case(mld_no_ml_)
!
! No preconditioning, should not really get here
!
call psb_errpush(psb_err_internal_error_,name,&
& a_err='mld_no_ml_ in mlprc_aply?')
goto 9999
case(mld_add_ml_)
!
! Additive multilevel
!
if (level > 1) then
! Apply the restriction
call psb_map_X2Y(cone,mlprec_wrk(level-1)%x2l,&
& czero,mlprec_wrk(level)%x2l,&
& p%precv(level)%map,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
end if
sweeps = p%precv(level)%parms%sweeps
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%x2l,czero,mlprec_wrk(level)%y2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
if (info /= psb_success_) goto 9999
if (level < nlev) then
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
if (info /= psb_success_) goto 9999
!
! Apply the prolongator
!
call psb_map_Y2X(cone,mlprec_wrk(level+1)%y2l,&
& cone,mlprec_wrk(level)%y2l,&
& p%precv(level+1)%map,info,work=work)
if (info /= psb_success_) goto 9999
end if
case(mld_mult_ml_)
!
! Multiplicative multilevel (multiplicative among the levels, additive inside
! each level)
!
! Pre/post-smoothing versions.
! Note that the transpose switches pre <-> post.
!
select case(p%precv(level)%parms%smoother_pos)
case(mld_post_smooth_)
select case (trans_)
case('N')
if (level > 1) then
! Apply the restriction
call psb_map_X2Y(cone,mlprec_wrk(level-1)%x2l,&
& czero,mlprec_wrk(level)%x2l,&
& p%precv(level)%map,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
end if
! This is one step of post-smoothing
if (level < nlev) then
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
if (info /= psb_success_) goto 9999
!
! Apply the prolongator
!
call psb_map_Y2X(cone,mlprec_wrk(level+1)%y2l,&
& czero,mlprec_wrk(level)%y2l,&
& p%precv(level+1)%map,info,work=work)
if (info /= psb_success_) goto 9999
!
! Compute the residual
!
call psb_spmm(-cone,p%precv(level)%base_a,mlprec_wrk(level)%y2l,&
& cone,mlprec_wrk(level)%x2l,p%precv(level)%base_desc,info,&
& work=work,trans=trans)
if (info /= psb_success_) goto 9999
sweeps = p%precv(level)%parms%sweeps_post
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%x2l,cone,mlprec_wrk(level)%y2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
else
sweeps = p%precv(level)%parms%sweeps
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%x2l,czero,mlprec_wrk(level)%y2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
end if
case('T','C')
! Post-smoothing transpose is pre-smoothing
if (level > 1) then
! Apply the restriction
call psb_map_X2Y(cone,mlprec_wrk(level-1)%x2l,&
& czero,mlprec_wrk(level)%x2l,&
& p%precv(level)%map,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
end if
!
! Apply the base preconditioner
!
if (level < nlev) then
sweeps = p%precv(level)%parms%sweeps_post
else
sweeps = p%precv(level)%parms%sweeps
end if
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%x2l,czero,mlprec_wrk(level)%y2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
if (info /= psb_success_) goto 9999
!
! Compute the residual (at all levels but the coarsest one)
!
if (level < nlev) then
call psb_spmm(-cone,p%precv(level)%base_a,&
& mlprec_wrk(level)%y2l,cone,mlprec_wrk(level)%x2l,&
& p%precv(level)%base_desc,info,work=work,trans=trans)
if (info /= psb_success_) goto 9999
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
if (info /= psb_success_) goto 9999
call psb_map_Y2X(cone,mlprec_wrk(level+1)%y2l,&
& cone,mlprec_wrk(level)%y2l,&
& p%precv(level+1)%map,info,work=work)
if (info /= psb_success_) goto 9999
end if
case default
info = psb_err_internal_error_
call psb_errpush(info,name,a_err='invalid trans')
goto 9999
end select
case(mld_pre_smooth_)
select case (trans_)
case('N')
! One step of pre-smoothing
if (level > 1) then
! Apply the restriction
call psb_map_X2Y(cone,mlprec_wrk(level-1)%x2l,&
& czero,mlprec_wrk(level)%x2l,&
& p%precv(level)%map,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
end if
!
! Apply the base preconditioner
!
if (level < nlev) then
sweeps = p%precv(level)%parms%sweeps_pre
else
sweeps = p%precv(level)%parms%sweeps
end if
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%x2l,czero,mlprec_wrk(level)%y2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
if (info /= psb_success_) goto 9999
!
! Compute the residual (at all levels but the coarsest one)
!
if (level < nlev) then
call psb_spmm(-cone,p%precv(level)%base_a,&
& mlprec_wrk(level)%y2l,cone,mlprec_wrk(level)%x2l,&
& p%precv(level)%base_desc,info,work=work,trans=trans)
if (info /= psb_success_) goto 9999
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
if (info /= psb_success_) goto 9999
call psb_map_Y2X(cone,mlprec_wrk(level+1)%y2l,&
& cone,mlprec_wrk(level)%y2l,&
& p%precv(level+1)%map,info,work=work)
if (info /= psb_success_) goto 9999
end if
case('T','C')
! pre-smooth transpose is post-smoothing
if (level > 1) then
! Apply the restriction
call psb_map_X2Y(cone,mlprec_wrk(level-1)%x2l,&
& czero,mlprec_wrk(level)%x2l,&
& p%precv(level)%map,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
end if
if (level < nlev) then
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
if (info /= psb_success_) goto 9999
!
! Apply the prolongator
!
call psb_map_Y2X(cone,mlprec_wrk(level+1)%y2l,&
& czero,mlprec_wrk(level)%y2l,&
& p%precv(level+1)%map,info,work=work)
if (info /= psb_success_) goto 9999
!
! Compute the residual
!
call psb_spmm(-cone,p%precv(level)%base_a,mlprec_wrk(level)%y2l,&
& cone,mlprec_wrk(level)%x2l,p%precv(level)%base_desc,info,&
& work=work,trans=trans)
if (info /= psb_success_) goto 9999
sweeps = p%precv(level)%parms%sweeps_pre
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%x2l,cone,mlprec_wrk(level)%y2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
else
sweeps = p%precv(level)%parms%sweeps
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%x2l,czero,mlprec_wrk(level)%y2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
end if
case default
info = psb_err_internal_error_
call psb_errpush(info,name,a_err='invalid trans')
goto 9999
end select
case(mld_twoside_smooth_)
nc2l = p%precv(level)%base_desc%get_local_cols()
nr2l = p%precv(level)%base_desc%get_local_rows()
allocate(mlprec_wrk(level)%ty(nc2l), mlprec_wrk(level)%tx(nc2l), stat=info)
if (info /= psb_success_) then
info=psb_err_alloc_request_
call psb_errpush(info,name,i_err=(/2*nc2l,0,0,0,0/),&
& a_err='complex(psb_spk_)')
goto 9999
end if
if (level > 1) then
! Apply the restriction
call psb_map_X2Y(cone,mlprec_wrk(level-1)%ty,&
& czero,mlprec_wrk(level)%x2l,&
& p%precv(level)%map,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
end if
call psb_geaxpby(cone,mlprec_wrk(level)%x2l,czero,mlprec_wrk(level)%tx,&
& p%precv(level)%base_desc,info)
!
! Apply the base preconditioner
!
if (level < nlev) then
if (trans == 'N') then
sweeps = p%precv(level)%parms%sweeps_pre
else
sweeps = p%precv(level)%parms%sweeps_post
end if
else
sweeps = p%precv(level)%parms%sweeps
end if
if (info == psb_success_) call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%x2l,czero,mlprec_wrk(level)%y2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
!
! Compute the residual (at all levels but the coarsest one)
! and call recursively
!
if(level < nlev) then
mlprec_wrk(level)%ty = mlprec_wrk(level)%x2l
if (info == psb_success_) call psb_spmm(-cone,p%precv(level)%base_a,&
& mlprec_wrk(level)%y2l,cone,mlprec_wrk(level)%ty,&
& p%precv(level)%base_desc,info,work=work,trans=trans)
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
!
! Apply the prolongator
!
call psb_map_Y2X(cone,mlprec_wrk(level+1)%y2l,&
& cone,mlprec_wrk(level)%y2l,&
& p%precv(level+1)%map,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
!
! Compute the residual
!
call psb_spmm(-cone,p%precv(level)%base_a,mlprec_wrk(level)%y2l,&
& cone,mlprec_wrk(level)%tx,p%precv(level)%base_desc,info,&
& work=work,trans=trans)
!
! Apply the base preconditioner
!
if (trans == 'N') then
sweeps = p%precv(level)%parms%sweeps_post
else
sweeps = p%precv(level)%parms%sweeps_pre
end if
if (info == psb_success_) call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%tx,cone,mlprec_wrk(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: residual/baseprec_aply')
goto 9999
end if
endif
case default
info = psb_err_from_subroutine_ai_
call psb_errpush(info,name,a_err='invalid smooth_pos',&
& i_Err=(/p%precv(level)%parms%smoother_pos,0,0,0,0/))
goto 9999
end select
case default
info = psb_err_from_subroutine_ai_
call psb_errpush(info,name,a_err='invalid mltype',&
& i_Err=(/p%precv(level)%parms%ml_type,0,0,0,0/))
goto 9999
end select
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
return
end subroutine inner_ml_aply
end subroutine mld_cmlprec_aply
subroutine mld_cmlprec_aply_vect(alpha,p,x,beta,y,desc_data,trans,work,info)
use psb_base_mod
use mld_c_inner_mod, mld_protect_name => mld_cmlprec_aply_vect
implicit none
! Arguments
type(psb_desc_type),intent(in) :: desc_data
type(mld_cprec_type), intent(inout) :: p
complex(psb_spk_),intent(in) :: alpha,beta
type(psb_c_vect_type),intent(inout) :: x
type(psb_c_vect_type),intent(inout) :: y
character, intent(in) :: trans
complex(psb_spk_),target :: work(:)
integer, intent(out) :: info
! Local variables
integer :: ictxt, np, me, err_act
integer :: debug_level, debug_unit, nlev,nc2l,nr2l,level
character(len=20) :: name
character :: trans_
type mld_mlprec_wrk_type
complex(psb_spk_), allocatable :: tx(:), ty(:), x2l(:), y2l(:)
type(psb_c_vect_type) :: vtx, vty, vx2l, vy2l
end type mld_mlprec_wrk_type
type(mld_mlprec_wrk_type), allocatable :: mlprec_wrk(:)
name='mld_cmlprec_aply'
info = psb_success_
call psb_erractionsave(err_act)
debug_unit = psb_get_debug_unit()
debug_level = psb_get_debug_level()
ictxt = desc_data%get_context()
call psb_info(ictxt, 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(mlprec_wrk(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(mlprec_wrk(level)%vx2l,&
& p%precv(level)%base_desc,info,&
& scratch=.true.,mold=x%v)
call psb_geasb(mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc,info,&
& scratch=.true.,mold=x%v)
call psb_geasb(mlprec_wrk(level)%vtx,&
& p%precv(level)%base_desc,info,&
& scratch=.true.,mold=x%v)
call psb_geasb(mlprec_wrk(level)%vty,&
& p%precv(level)%base_desc,info,&
& scratch=.true.,mold=x%v)
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,0,0,0,0/),&
& a_err='complex(psb_spk_)')
goto 9999
end if
end do
level = 1
call psb_geaxpby(cone,x,czero,mlprec_wrk(level)%vx2l,p%precv(level)%base_desc,info)
call mlprec_wrk(level)%vy2l%set(czero)
call inner_ml_aply(level,p,mlprec_wrk,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,mlprec_wrk(level)%vy2l,beta,y,&
& p%precv(level)%base_desc,info)
do level = 1, nlev
call mlprec_wrk(level)%vx2l%free(info)
call mlprec_wrk(level)%vy2l%free(info)
call mlprec_wrk(level)%vtx%free(info)
call mlprec_wrk(level)%vty%free(info)
if (psb_errstatus_fatal()) then
info=psb_err_alloc_request_
nc2l = p%precv(level)%base_desc%get_local_cols()
call psb_errpush(info,name,i_err=(/2*nc2l,0,0,0,0/),&
& a_err='complex(psb_spk_)')
goto 9999
end if
end do
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 continue
call psb_erractionrestore(err_act)
if (err_act.eq.psb_act_abort_) then
call psb_error()
return
end if
return
contains
recursive subroutine inner_ml_aply(level,p,mlprec_wrk,trans,work,info)
implicit none
! Arguments
integer :: level
type(mld_cprec_type), intent(inout) :: p
type(mld_mlprec_wrk_type), intent(inout) :: mlprec_wrk(:)
character, intent(in) :: trans
complex(psb_spk_),target :: work(:)
integer, intent(out) :: info
! Local variables
integer :: ictxt,np,me,i, nr2l,nc2l,err_act
integer :: debug_level, debug_unit
integer :: nlev, ilev, sweeps
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
ictxt = p%precv(level)%base_desc%get_context()
call psb_info(ictxt, me, np)
nc2l = p%precv(level)%base_desc%get_local_cols()
nr2l = p%precv(level)%base_desc%get_local_rows()
select case(p%precv(level)%parms%ml_type)
case(mld_no_ml_)
!
! No preconditioning, should not really get here
!
call psb_errpush(psb_err_internal_error_,name,&
& a_err='mld_no_ml_ in mlprc_aply?')
goto 9999
case(mld_add_ml_)
!
! Additive multilevel
!
if (level > 1) then
! Apply the restriction
call psb_map_X2Y(cone,mlprec_wrk(level-1)%vx2l,&
& czero,mlprec_wrk(level)%vx2l,&
& p%precv(level)%map,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
end if
sweeps = p%precv(level)%parms%sweeps
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%vx2l,czero,mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
if (info /= psb_success_) goto 9999
if (level < nlev) then
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
if (info /= psb_success_) goto 9999
!
! Apply the prolongator
!
call psb_map_Y2X(cone,mlprec_wrk(level+1)%vy2l,&
& cone,mlprec_wrk(level)%vy2l,&
& p%precv(level+1)%map,info,work=work)
if (info /= psb_success_) goto 9999
end if
case(mld_mult_ml_)
!
! Multiplicative multilevel (multiplicative among the levels, additive inside
! each level)
!
! Pre/post-smoothing versions.
! Note that the transpose switches pre <-> post.
!
select case(p%precv(level)%parms%smoother_pos)
case(mld_post_smooth_)
select case (trans_)
case('N')
if (level > 1) then
! Apply the restriction
call psb_map_X2Y(cone,mlprec_wrk(level-1)%vx2l,&
& czero,mlprec_wrk(level)%vx2l,&
& p%precv(level)%map,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
end if
! This is one step of post-smoothing
if (level < nlev) then
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
if (info /= psb_success_) goto 9999
!
! Apply the prolongator
!
call psb_map_Y2X(cone,mlprec_wrk(level+1)%vy2l,&
& czero,mlprec_wrk(level)%vy2l,&
& p%precv(level+1)%map,info,work=work)
if (info /= psb_success_) goto 9999
!
! Compute the residual
!
call psb_spmm(-cone,p%precv(level)%base_a,mlprec_wrk(level)%vy2l,&
& cone,mlprec_wrk(level)%vx2l,p%precv(level)%base_desc,info,&
& work=work,trans=trans)
if (info /= psb_success_) goto 9999
sweeps = p%precv(level)%parms%sweeps_post
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%vx2l,cone,mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
else
sweeps = p%precv(level)%parms%sweeps
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%vx2l,czero,mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
end if
case('T','C')
! Post-smoothing transpose is pre-smoothing
if (level > 1) then
! Apply the restriction
call psb_map_X2Y(cone,mlprec_wrk(level-1)%vx2l,&
& czero,mlprec_wrk(level)%vx2l,&
& p%precv(level)%map,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
end if
!
! Apply the base preconditioner
!
if (level < nlev) then
sweeps = p%precv(level)%parms%sweeps_post
else
sweeps = p%precv(level)%parms%sweeps
end if
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%vx2l,czero,mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
if (info /= psb_success_) goto 9999
!
! Compute the residual (at all levels but the coarsest one)
!
if (level < nlev) then
call psb_spmm(-cone,p%precv(level)%base_a,&
& mlprec_wrk(level)%vy2l,cone,mlprec_wrk(level)%vx2l,&
& p%precv(level)%base_desc,info,work=work,trans=trans)
if (info /= psb_success_) goto 9999
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
if (info /= psb_success_) goto 9999
call psb_map_Y2X(cone,mlprec_wrk(level+1)%vy2l,&
& cone,mlprec_wrk(level)%vy2l,&
& p%precv(level+1)%map,info,work=work)
if (info /= psb_success_) goto 9999
end if
case default
info = psb_err_internal_error_
call psb_errpush(info,name,a_err='invalid trans')
goto 9999
end select
case(mld_pre_smooth_)
select case (trans_)
case('N')
! One step of pre-smoothing
if (level > 1) then
! Apply the restriction
call psb_map_X2Y(cone,mlprec_wrk(level-1)%vx2l,&
& czero,mlprec_wrk(level)%vx2l,&
& p%precv(level)%map,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
end if
!
! Apply the base preconditioner
!
if (level < nlev) then
sweeps = p%precv(level)%parms%sweeps_pre
else
sweeps = p%precv(level)%parms%sweeps
end if
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%vx2l,czero,mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
if (info /= psb_success_) goto 9999
!
! Compute the residual (at all levels but the coarsest one)
!
if (level < nlev) then
call psb_spmm(-cone,p%precv(level)%base_a,&
& mlprec_wrk(level)%vy2l,cone,mlprec_wrk(level)%vx2l,&
& p%precv(level)%base_desc,info,work=work,trans=trans)
if (info /= psb_success_) goto 9999
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
if (info /= psb_success_) goto 9999
call psb_map_Y2X(cone,mlprec_wrk(level+1)%vy2l,&
& cone,mlprec_wrk(level)%vy2l,&
& p%precv(level+1)%map,info,work=work)
if (info /= psb_success_) goto 9999
end if
case('T','C')
! pre-smooth transpose is post-smoothing
if (level > 1) then
! Apply the restriction
call psb_map_X2Y(cone,mlprec_wrk(level-1)%vx2l,&
& czero,mlprec_wrk(level)%vx2l,&
& p%precv(level)%map,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
end if
if (level < nlev) then
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
if (info /= psb_success_) goto 9999
!
! Apply the prolongator
!
call psb_map_Y2X(cone,mlprec_wrk(level+1)%vy2l,&
& czero,mlprec_wrk(level)%vy2l,&
& p%precv(level+1)%map,info,work=work)
if (info /= psb_success_) goto 9999
!
! Compute the residual
!
call psb_spmm(-cone,p%precv(level)%base_a,mlprec_wrk(level)%vy2l,&
& cone,mlprec_wrk(level)%vx2l,p%precv(level)%base_desc,info,&
& work=work,trans=trans)
if (info /= psb_success_) goto 9999
sweeps = p%precv(level)%parms%sweeps_pre
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%vx2l,cone,mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
else
sweeps = p%precv(level)%parms%sweeps
call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%vx2l,czero,mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
end if
case default
info = psb_err_internal_error_
call psb_errpush(info,name,a_err='invalid trans')
goto 9999
end select
case(mld_twoside_smooth_)
if (level > 1) then
! Apply the restriction
call psb_map_X2Y(cone,mlprec_wrk(level-1)%vty,&
& czero,mlprec_wrk(level)%vx2l,&
& p%precv(level)%map,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
end if
call psb_geaxpby(cone,mlprec_wrk(level)%vx2l,&
& czero,mlprec_wrk(level)%vtx,&
& p%precv(level)%base_desc,info)
!
! Apply the base preconditioner
!
if (level < nlev) then
if (trans == 'N') then
sweeps = p%precv(level)%parms%sweeps_pre
else
sweeps = p%precv(level)%parms%sweeps_post
end if
else
sweeps = p%precv(level)%parms%sweeps
end if
if (info == psb_success_) call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%vx2l,czero,mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info)
!
! Compute the residual (at all levels but the coarsest one)
! and call recursively
!
if(level < nlev) then
call psb_geaxpby(cone,mlprec_wrk(level)%vx2l,&
& czero,mlprec_wrk(level)%vty,&
& p%precv(level)%base_desc,info)
if (info == psb_success_) call psb_spmm(-cone,p%precv(level)%base_a,&
& mlprec_wrk(level)%vy2l,cone,mlprec_wrk(level)%vty,&
& p%precv(level)%base_desc,info,work=work,trans=trans)
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
!
! Apply the prolongator
!
call psb_map_Y2X(cone,mlprec_wrk(level+1)%vy2l,&
& cone,mlprec_wrk(level)%vy2l,&
& p%precv(level+1)%map,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
!
! Compute the residual
!
call psb_spmm(-cone,p%precv(level)%base_a,mlprec_wrk(level)%vy2l,&
& cone,mlprec_wrk(level)%vtx,p%precv(level)%base_desc,info,&
& work=work,trans=trans)
!
! Apply the base preconditioner
!
if (trans == 'N') then
sweeps = p%precv(level)%parms%sweeps_post
else
sweeps = p%precv(level)%parms%sweeps_pre
end if
if (info == psb_success_) call p%precv(level)%sm%apply(cone,&
& mlprec_wrk(level)%vtx,cone,mlprec_wrk(level)%vy2l,&
& 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: residual/baseprec_aply')
goto 9999
end if
endif
case default
info = psb_err_from_subroutine_ai_
call psb_errpush(info,name,a_err='invalid smooth_pos',&
& i_Err=(/p%precv(level)%parms%smoother_pos,0,0,0,0/))
goto 9999
end select
case default
info = psb_err_from_subroutine_ai_
call psb_errpush(info,name,a_err='invalid mltype',&
& i_Err=(/p%precv(level)%parms%ml_type,0,0,0,0/))
goto 9999
end select
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
return
end subroutine inner_ml_aply
end subroutine mld_cmlprec_aply_vect