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amg4psblas/mlprec/impl/mld_zmlprec_aply.f90

1859 lines
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!
!
! 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 University of Campania "L. Vanvitelli", Caserta
!
! 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_zmlprec_aply.f90
!
! Subroutine: mld_zmlprec_aply
! Version: real
!
! 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_dpk_), input.
! The scalar alpha.
! p - type(mld_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(ilev)%prec - type(psb_zbaseprec_type)
! The 'base preconditioner' for the current level
! p%precv(ilev)%ac - type(psb_zspmat_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_dpk_), 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_zspmat_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_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(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).
!
! 1. Transfer the outer vector Xest to x(1) (inner X at level 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. Transfer x(ilev) to the next level:
! x(ilev+1) = PT(ilev+1)*x(ilev)
! b. Call recursively itself
! 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---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.
!
!
! 1 Transfer the outer vector Xest to x(1) (inner X at level 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. Transfer r(ilev) to the next level:
! x(ilev+1) = PT(ilev+1)*r(ilev)
! c. Call recursively
! d. 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
!
! 1. Transfer the outer vector Xest to x(1) (inner X at level 1)
!
! 2. If ilev < nlev
! a. Transfer x(ilev) to the next level:
! x(ilev+1) = PT(ilev+1)*x(ilev)
! b. Call recursively
! c. Transfer y(ilev+1) to the current level:
! y(ilev) = P(ilev+1)*y(ilev+1)
! d. Compute the residual:
! x(ilev) = x(ilev) - A(ilev)*y(ilev)
! e. 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)
!
! 3. If ilev == nlev apply 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.
!
!
! 1. Transfer the outer vector Xest to x(1) (inner X at level 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. Transfer r(ilev) to the next level:
! x(ilev+1) = PT(ilev+1)*r(ilev)
! c. Call recursively
! d. 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)
!
! 4. if ilev == 1 Transfer the inner Y to the external:
! Yext = beta*Yext + alpha*Y(1)
!
!
subroutine mld_zmlprec_aply_vect(alpha,p,x,beta,y,desc_data,trans,work,info)
use psb_base_mod
use mld_base_prec_type
use mld_z_inner_mod, mld_protect_name => mld_zmlprec_aply_vect
implicit none
! Arguments
type(psb_desc_type),intent(in) :: desc_data
type(mld_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
integer(psb_ipk_) :: ictxt, 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_
type mld_mlprec_wrk_type
complex(psb_dpk_), allocatable :: tx(:), ty(:), x2l(:), y2l(:)
type(psb_z_vect_type) :: vtx, vty, vx2l, vy2l
end type mld_mlprec_wrk_type
type(mld_mlprec_wrk_type), allocatable, target :: mlprec_wrk(:)
name='mld_zmlprec_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,izero,izero,izero,izero/),&
& a_err='complex(psb_dpk_)')
goto 9999
end if
end do
!
! At first iteration we must use the input BETA
!
beta_ = beta
level = 1
call psb_geaxpby(zone,x,zzero,mlprec_wrk(level)%vx2l,p%precv(level)%base_desc,info)
do isweep = 1, p%outer_sweeps - 1
!
! With the current implementation, y2l is zeroed internally at first smoother.
! call mlprec_wrk(level)%vy2l%zero()
!
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)
! 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,mlprec_wrk(level)%vx2l,&
& p%precv(level)%base_desc,info)
call psb_spmm(-zone,p%precv(level)%base_a,y,&
& zone,mlprec_wrk(level)%vx2l,p%precv(level)%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 mlprec_wrk(level)%vy2l%zero()
!
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,izero,izero,izero,izero/),&
& a_err='complex(psb_dpk_)')
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 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,mlprec_wrk,trans,work,info)
implicit none
! Arguments
integer(psb_ipk_) :: level
type(mld_zprec_type), target, intent(inout) :: p
type(mld_mlprec_wrk_type), intent(inout), target :: mlprec_wrk(:)
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
integer(psb_ipk_) :: ictxt,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
ictxt = p%precv(level)%base_desc%get_context()
call psb_info(ictxt, me, np)
if(debug_level > 1) then
write(debug_unit,*) me,' Start inner_ml_aply at level ',level
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_)
call mld_z_inner_add(p, mlprec_wrk, level, trans, work)
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_)
p%precv(level)%parms%sweeps_pre = 0
call mld_z_inner_mult(p, mlprec_wrk, level, trans, work)
case(mld_pre_smooth_)
p%precv(level)%parms%sweeps_post = 0
call mld_z_inner_mult(p, mlprec_wrk, level, trans, work)
case(mld_twoside_smooth_)
call mld_z_inner_mult(p, mlprec_wrk, level, trans, work)
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,izero,izero,izero,izero/))
goto 9999
end select
case(mld_vcycle_ml_, mld_wcycle_ml_)
call mld_z_inner_mult(p, mlprec_wrk, level, trans, work)
case(mld_kcycle_ml_, mld_kcyclesym_ml_)
call mld_z_inner_k_cycle(p, mlprec_wrk, level, trans, work)
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,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
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(err_act)
return
end subroutine inner_ml_aply
recursive subroutine mld_z_inner_add(p, mlprec_wrk, level, trans, work)
use psb_base_mod
use mld_prec_mod
implicit none
!Input/Oputput variables
type(mld_zprec_type), intent(inout) :: p
type(mld_mlprec_wrk_type), target, intent(inout) :: mlprec_wrk(:)
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
integer(psb_ipk_) :: ictxt,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
ictxt = p%precv(level)%base_desc%get_context()
call psb_info(ictxt, 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
call p%precv(level)%sm%apply(zone,&
& mlprec_wrk(level)%vx2l,zzero,mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info,init='Z')
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 psb_map_X2Y(zone,mlprec_wrk(level)%vx2l,&
& zzero,mlprec_wrk(level+1)%vx2l,&
& 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
call inner_ml_aply(level+1,p,mlprec_wrk,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 psb_map_Y2X(zone,mlprec_wrk(level+1)%vy2l,&
& zone,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 prolongation')
goto 9999
end if
end if
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(err_act)
return
end subroutine mld_z_inner_add
recursive subroutine mld_z_inner_mult(p, mlprec_wrk, level, trans, work)
use psb_base_mod
use mld_prec_mod
implicit none
!Input/Oputput variables
type(mld_zprec_type), intent(inout) :: p
type(mld_mlprec_wrk_type), target, intent(inout) :: mlprec_wrk(:)
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
integer(psb_ipk_) :: ictxt,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
ictxt = p%precv(level)%base_desc%get_context()
call psb_info(ictxt, 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'))
if (level < nlev) then
!
! Apply the first smoother
! The residual has been prepared before the recursive call.
!
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,&
& mlprec_wrk(level)%vx2l,zzero,mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info,init='Z')
else
sweeps = p%precv(level)%parms%sweeps_post
if (info == psb_success_) call p%precv(level)%sm2%apply(zone,&
& mlprec_wrk(level)%vx2l,zzero,mlprec_wrk(level)%vy2l,&
& 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 PRE smoother_apply')
goto 9999
end if
endif
!
! Compute the residual and call recursively
!
if (pre) then
call psb_geaxpby(zone,mlprec_wrk(level)%vx2l,&
& zzero,mlprec_wrk(level)%vty,&
& p%precv(level)%base_desc,info)
if (info == psb_success_) call psb_spmm(-zone,p%precv(level)%base_a,&
& mlprec_wrk(level)%vy2l,zone,mlprec_wrk(level)%vty,&
& 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 psb_map_X2Y(zone,mlprec_wrk(level)%vty,&
& zzero,mlprec_wrk(level+1)%vx2l,&
& 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
else
! Shortcut: just transfer x2l.
call psb_map_X2Y(zone,mlprec_wrk(level)%vx2l,&
& zzero,mlprec_wrk(level+1)%vx2l,&
& 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
endif
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
!
! Apply the prolongator
!
call psb_map_Y2X(zone,mlprec_wrk(level+1)%vy2l,&
& zone,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 prolongation')
goto 9999
end if
if (p%precv(level)%parms%ml_type == mld_wcycle_ml_) then
call psb_geaxpby(zone,mlprec_wrk(level)%vx2l,&
& zzero,mlprec_wrk(level)%vty,&
& p%precv(level)%base_desc,info)
if (info == psb_success_) call psb_spmm(-zone,p%precv(level)%base_a,&
& mlprec_wrk(level)%vy2l,zone,mlprec_wrk(level)%vty,&
& p%precv(level)%base_desc,info,work=work,trans=trans)
if (info == psb_success_) call psb_map_X2Y(zone,mlprec_wrk(level)%vty,&
& zzero,mlprec_wrk(level+1)%vx2l,&
& 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 W-cycle restriction')
goto 9999
end if
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
if (info == psb_success_) call psb_map_Y2X(zone,mlprec_wrk(level+1)%vy2l,&
& zone,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 W recusion/prolongation')
goto 9999
end if
endif
if (post) then
call psb_geaxpby(zone,mlprec_wrk(level)%vx2l,&
& zzero,mlprec_wrk(level)%vty,&
& p%precv(level)%base_desc,info)
if (info == psb_success_) call psb_spmm(-zone,p%precv(level)%base_a,&
& mlprec_wrk(level)%vy2l,&
& zone,mlprec_wrk(level)%vty,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,&
& mlprec_wrk(level)%vty,zone,mlprec_wrk(level)%vy2l,&
& 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,&
& mlprec_wrk(level)%vty,zone,mlprec_wrk(level)%vy2l,&
& 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
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
& mlprec_wrk(level)%vx2l,zzero,mlprec_wrk(level)%vy2l,&
& 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 mld_z_inner_mult
recursive subroutine mld_z_inner_k_cycle(p, mlprec_wrk, level, trans, work,u)
use psb_base_mod
use mld_prec_mod
implicit none
!Input/Oputput variables
type(mld_zprec_type), intent(inout) :: p
type(mld_mlprec_wrk_type), target, intent(inout) :: mlprec_wrk(:)
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
integer(psb_ipk_) :: ictxt,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
ictxt = p%precv(level)%base_desc%get_context()
call psb_info(ictxt, 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
if (level == nlev) then
!
! Apply smoother
!
sweeps = p%precv(level)%parms%sweeps
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
& mlprec_wrk(level)%vx2l,zzero,mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info,init='Z')
else if (level < nlev) then
if (trans == 'N') then
sweeps = p%precv(level)%parms%sweeps_pre
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
& mlprec_wrk(level)%vx2l,zzero,mlprec_wrk(level)%vy2l,&
& p%precv(level)%base_desc, trans,&
& sweeps,work,info,init='Z')
else
sweeps = p%precv(level)%parms%sweeps_post
if (info == psb_success_) call p%precv(level)%sm2%apply(zone,&
& mlprec_wrk(level)%vx2l,zzero,mlprec_wrk(level)%vy2l,&
& 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 2-PRE smoother_apply')
goto 9999
end if
!
! Compute the residual and call recursively
!
call psb_geaxpby(zone,mlprec_wrk(level)%vx2l,&
& zzero,mlprec_wrk(level)%vty,&
& p%precv(level)%base_desc,info)
if (info == psb_success_) call psb_spmm(-zone,p%precv(level)%base_a,&
& mlprec_wrk(level)%vy2l,zone,mlprec_wrk(level)%vty,&
& 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 restriction
call psb_map_X2Y(zone,mlprec_wrk(level)%vty,&
& zzero,mlprec_wrk(level + 1)%vx2l,&
& 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
!Set the preconditioner
if (level <= nlev - 2 ) then
if (p%precv(level)%parms%ml_type == mld_kcyclesym_ml_) then
call mld_zinneritkcycle(p, mlprec_wrk, level + 1, trans, work, 'FCG')
elseif (p%precv(level)%parms%ml_type == mld_kcycle_ml_) then
call mld_zinneritkcycle(p, mlprec_wrk, level + 1, trans, work, 'GCR')
else
call psb_errpush(psb_err_internal_error_,name,&
& a_err='Bad value for ml_type')
goto 9999
endif
else
call inner_ml_aply(level + 1 ,p,mlprec_wrk,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 psb_map_Y2X(zone,mlprec_wrk(level+1)%vy2l,&
& zone,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 prolongation')
goto 9999
end if
!
! Compute the residual
!
call psb_geaxpby(zone,mlprec_wrk(level)%vx2l,&
& zzero,mlprec_wrk(level)%vty,&
& p%precv(level)%base_desc,info)
call psb_spmm(-zone,p%precv(level)%base_a,mlprec_wrk(level)%vy2l,&
& zone,mlprec_wrk(level)%vty,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 smoother
!
if (trans == 'N') then
sweeps = p%precv(level)%parms%sweeps_post
if (info == psb_success_) call p%precv(level)%sm2%apply(zone,&
& mlprec_wrk(level)%vty,zone,mlprec_wrk(level)%vy2l,&
& 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,&
& mlprec_wrk(level)%vty,zone,mlprec_wrk(level)%vy2l,&
& 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
else
info = psb_err_internal_error_
call psb_errpush(info,name,&
& a_err='Invalid LEVEL vs NLEV')
goto 9999
endif
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(err_act)
return
end subroutine mld_z_inner_k_cycle
recursive subroutine mld_zinneritkcycle(p, mlprec_wrk, level, trans, work, innersolv)
use psb_base_mod
use mld_prec_mod
use mld_z_inner_mod, mld_protect_name => mld_zmlprec_aply
implicit none
!Input/Oputput variables
type(mld_zprec_type), intent(inout) :: p
type(mld_mlprec_wrk_type), intent(inout) :: mlprec_wrk(:)
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), dimension(0:1) :: d
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'
!Assemble rhs, w, v, v1, x
call psb_geasb(rhs,&
& p%precv(level)%base_desc,info,&
& scratch=.true.,mold=mlprec_wrk(level)%vx2l%v)
call psb_geasb(w,&
& p%precv(level)%base_desc,info,&
& scratch=.true.,mold=mlprec_wrk(level)%vx2l%v)
call psb_geasb(v,&
& p%precv(level)%base_desc,info,&
& scratch=.true.,mold=mlprec_wrk(level)%vx2l%v)
call psb_geasb(v1,&
& p%precv(level)%base_desc,info,&
& scratch=.true.,mold=mlprec_wrk(level)%vx2l%v)
call psb_geasb(x,&
& p%precv(level)%base_desc,info,&
& scratch=.true.,mold=mlprec_wrk(level)%vx2l%v)
!Assemble d(0) and d(1)
call psb_geasb(d(0),&
& p%precv(level)%base_desc,info,&
& scratch=.true.,mold=mlprec_wrk(level)%vy2l%v)
call psb_geasb(d(1),&
& p%precv(level)%base_desc,info,&
& scratch=.true.,mold=mlprec_wrk(level)%vy2l%v)
call x%zero()
! rhs=vx2l and w=rhs
call psb_geaxpby(zone,mlprec_wrk(level)%vx2l,zzero,rhs,&
& p%precv(level)%base_desc,info)
call psb_geaxpby(zone,mlprec_wrk(level)%vx2l,zzero,w,&
& 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
delta0 = psb_genrm2(w, p%precv(level)%base_desc, info)
!Apply the preconditioner
call mlprec_wrk(level)%vy2l%zero()
idx=0
call inner_ml_aply(level,p,mlprec_wrk,trans,work,info)
call psb_geaxpby(zone,mlprec_wrk(level)%vy2l,zzero,d(idx),p%precv(level)%base_desc,info)
call psb_spmm(zone,p%precv(level)%base_a,d(idx),zzero,v,p%precv(level)%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(d(idx), w, p%precv(level)%base_desc, info)
tau = psb_gedot(d(idx), v, p%precv(level)%base_desc, info)
!GCR
else if (psb_toupper(trim(innersolv)) == 'GCR') then
delta_old = psb_gedot(v, w, p%precv(level)%base_desc, info)
tau = psb_gedot(v, v, p%precv(level)%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, p%precv(level)%base_desc, info)
l2_norm = psb_genrm2(w, p%precv(level)%base_desc, info)
iter = 0
if (l2_norm <= rtol*delta0) then
!Update solution x
call psb_geaxpby(alpha, d(idx), zone, x, p%precv(level)%base_desc, info)
else
iter = iter + 1
idx=mod(iter,2)
!Apply preconditioner
call psb_geaxpby(zone,w,zzero,mlprec_wrk(level)%vx2l,p%precv(level)%base_desc,info)
call inner_ml_aply(level,p,mlprec_wrk,trans,work,info)
call psb_geaxpby(zone,mlprec_wrk(level)%vy2l,zzero,d(idx),p%precv(level)%base_desc,info)
!Sparse matrix vector product
call psb_spmm(zone,p%precv(level)%base_a,d(idx),zzero,v1,p%precv(level)%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(d(idx), v, p%precv(level)%base_desc, info)
tau2= psb_gedot(d(idx), v1, p%precv(level)%base_desc, info)
tau3= psb_gedot(d(idx), w, p%precv(level)%base_desc, info)
tau4= tau2 - (tau1*tau1)/tau
else if (psb_toupper(trim(innersolv)) == 'GCR') then
tau1= psb_gedot(v1, v, p%precv(level)%base_desc, info)
tau2= psb_gedot(v1, v1, p%precv(level)%base_desc, info)
tau3= psb_gedot(v1, w, p%precv(level)%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,d(idx - 1),zone,x,p%precv(level)%base_desc,info)
alpha=tau3/tau4
call psb_geaxpby(alpha,d(idx),zone,x,p%precv(level)%base_desc,info)
endif
call psb_geaxpby(zone,x,zzero,mlprec_wrk(level)%vy2l,p%precv(level)%base_desc,info)
!Free vectors
call psb_gefree(v, p%precv(level)%base_desc, info)
call psb_gefree(v1, p%precv(level)%base_desc, info)
call psb_gefree(w, p%precv(level)%base_desc, info)
call psb_gefree(x, p%precv(level)%base_desc, info)
call psb_gefree(d(0), p%precv(level)%base_desc, info)
call psb_gefree(d(1), p%precv(level)%base_desc, info)
9999 continue
call psb_erractionrestore(err_act)
if (err_act.eq.psb_act_abort_) then
call psb_error()
return
end if
return
end subroutine mld_zinneritkcycle
end subroutine mld_zmlprec_aply_vect
!
! Old routine for arrays instead of psb_X_vector. To be deleted eventually.
!
!
subroutine mld_zmlprec_aply(alpha,p,x,beta,y,desc_data,trans,work,info)
use psb_base_mod
use mld_base_prec_type
use mld_z_inner_mod, mld_protect_name => mld_zmlprec_aply
implicit none
! Arguments
type(psb_desc_type),intent(in) :: desc_data
type(mld_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
integer(psb_ipk_) :: ictxt, 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 mld_mlprec_wrk_type
complex(psb_dpk_), allocatable :: tx(:), ty(:), x2l(:), y2l(:)
end type mld_mlprec_wrk_type
type(mld_mlprec_wrk_type), allocatable, target :: mlprec_wrk(:)
name='mld_zmlprec_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)%x2l,&
& p%precv(level)%base_desc,info)
call psb_geasb(mlprec_wrk(level)%y2l,&
& p%precv(level)%base_desc,info)
call psb_geasb(mlprec_wrk(level)%tx,&
& p%precv(level)%base_desc,info)
call psb_geasb(mlprec_wrk(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
mlprec_wrk(level)%x2l(:) = x(:)
mlprec_wrk(level)%y2l(:) = zzero
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 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,mlprec_wrk,trans,work,info)
implicit none
! Arguments
integer(psb_ipk_) :: level
type(mld_zprec_type), target, intent(inout) :: p
type(mld_mlprec_wrk_type), intent(inout), target :: mlprec_wrk(:)
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
integer(psb_ipk_) :: ictxt,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
ictxt = p%precv(level)%base_desc%get_context()
call psb_info(ictxt, 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_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_)
call mld_z_inner_add(p, mlprec_wrk, level, trans, work)
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_)
p%precv(level)%parms%sweeps_pre = 0
call mld_z_inner_mult(p, mlprec_wrk, level, trans, work)
case(mld_pre_smooth_)
p%precv(level)%parms%sweeps_post = 0
call mld_z_inner_mult(p, mlprec_wrk, level, trans, work)
case(mld_twoside_smooth_)
call mld_z_inner_mult(p, mlprec_wrk, level, trans, work)
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,izero,izero,izero,izero/))
goto 9999
end select
case(mld_vcycle_ml_, mld_wcycle_ml_)
call mld_z_inner_mult(p, mlprec_wrk, level, trans, work)
! !$ case(mld_kcycle_ml_, mld_kcyclesym_ml_)
! !$
! !$ call mld_z_inner_k_cycle(p, mlprec_wrk, level, trans, work)
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,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 mld_z_inner_add(p, mlprec_wrk, level, trans, work)
use psb_base_mod
use mld_prec_mod
implicit none
!Input/Oputput variables
type(mld_zprec_type), intent(inout) :: p
type(mld_mlprec_wrk_type), target, intent(inout) :: mlprec_wrk(:)
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
integer(psb_ipk_) :: ictxt,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
ictxt = p%precv(level)%base_desc%get_context()
call psb_info(ictxt, 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
call p%precv(level)%sm%apply(zone,&
& mlprec_wrk(level)%x2l,zzero,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 during ADD smoother_apply')
goto 9999
end if
if (level < nlev) then
! Apply the restriction
call psb_map_X2Y(zone,mlprec_wrk(level)%x2l,&
& zzero,mlprec_wrk(level+1)%x2l,&
& p%precv(level+1)%map,info,work=work)
mlprec_wrk(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,mlprec_wrk,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 psb_map_Y2X(zone,mlprec_wrk(level+1)%y2l,&
& zone,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 prolongation')
goto 9999
end if
end if
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(err_act)
return
end subroutine mld_z_inner_add
recursive subroutine mld_z_inner_mult(p, mlprec_wrk, level, trans, work)
use psb_base_mod
use mld_prec_mod
implicit none
!Input/Oputput variables
type(mld_zprec_type), intent(inout) :: p
type(mld_mlprec_wrk_type), target, intent(inout) :: mlprec_wrk(:)
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
integer(psb_ipk_) :: ictxt,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
ictxt = p%precv(level)%base_desc%get_context()
call psb_info(ictxt, 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,&
& mlprec_wrk(level)%x2l,zzero,mlprec_wrk(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,&
& mlprec_wrk(level)%x2l,zzero,mlprec_wrk(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,mlprec_wrk(level)%x2l,&
& zzero,mlprec_wrk(level)%ty,&
& p%precv(level)%base_desc,info)
if (info == psb_success_) call psb_spmm(-zone,p%precv(level)%base_a,&
& mlprec_wrk(level)%y2l,zone,mlprec_wrk(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 psb_map_X2Y(zone,mlprec_wrk(level)%ty,&
& zzero,mlprec_wrk(level+1)%x2l,&
& 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
else
! Shortcut: just transfer x2l.
call psb_map_X2Y(zone,mlprec_wrk(level)%x2l,&
& zzero,mlprec_wrk(level+1)%x2l,&
& 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
endif
! First guess is zero
mlprec_wrk(level+1)%y2l(:) = zzero
call inner_ml_aply(level+1,p,mlprec_wrk,trans,work,info)
if (p%precv(level)%parms%ml_type == mld_wcycle_ml_) then
! On second call will use output y2l as initial guess
if (info == psb_success_) call inner_ml_aply(level+1,p,mlprec_wrk,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 psb_map_Y2X(zone,mlprec_wrk(level+1)%y2l,&
& zone,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 prolongation')
goto 9999
end if
!
! Compute the residual
!
if (post) then
call psb_geaxpby(zone,mlprec_wrk(level)%x2l,&
& zzero,mlprec_wrk(level)%tx,&
& p%precv(level)%base_desc,info)
call psb_spmm(-zone,p%precv(level)%base_a,mlprec_wrk(level)%y2l,&
& zone,mlprec_wrk(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,&
& mlprec_wrk(level)%tx,zone,mlprec_wrk(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,&
& mlprec_wrk(level)%tx,zone,mlprec_wrk(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
if (info == psb_success_) call p%precv(level)%sm%apply(zone,&
& mlprec_wrk(level)%x2l,zzero,mlprec_wrk(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 mld_z_inner_mult
end subroutine mld_zmlprec_aply
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