!!$
!!$ 
!!$                           MLD2P4  version 2.0
!!$  MultiLevel Domain Decomposition Parallel Preconditioners Package
!!$             based on PSBLAS (Parallel Sparse BLAS version 3.3)
!!$  
!!$  (C) Copyright 2008, 2010, 2012, 2015
!!$
!!$                      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.
!!$ 
!!$
subroutine mld_s_gs_solver_apply_vect(alpha,sv,x,beta,y,desc_data,trans,work,info)
  
  use psb_base_mod
  use mld_s_gs_solver, mld_protect_name => mld_s_gs_solver_apply_vect
  implicit none 
  type(psb_desc_type), intent(in)               :: desc_data
  class(mld_s_gs_solver_type), intent(inout) :: sv
  type(psb_s_vect_type),intent(inout)         :: x
  type(psb_s_vect_type),intent(inout)         :: y
  real(psb_spk_),intent(in)                    :: alpha,beta
  character(len=1),intent(in)                   :: trans
  real(psb_spk_),target, intent(inout)         :: work(:)
  integer(psb_ipk_), intent(out)                :: info

  integer(psb_ipk_)   :: n_row,n_col, itx
  type(psb_s_vect_type)  :: wv, xit
  real(psb_spk_), pointer :: ww(:), aux(:), tx(:),ty(:)
  real(psb_spk_), allocatable :: temp(:)
  integer(psb_ipk_)   :: ictxt,np,me,i, err_act
  character          :: trans_
  character(len=20)  :: name='s_gs_solver_apply'

  call psb_erractionsave(err_act)
  ictxt = desc_data%get_ctxt()
  call psb_info(ictxt,me,np)
  info = psb_success_

  trans_ = psb_toupper(trans)
  select case(trans_)
  case('N')
!!$  case('T')
!!$  case('C')
  case default
    call psb_errpush(psb_err_iarg_invalid_i_,name)
    goto 9999
  end select

  n_row = desc_data%get_local_rows()
  n_col = desc_data%get_local_cols()


  if (x%get_nrows() < n_row) then 
    info = 36
    call psb_errpush(info,name,&
         & i_err=(/itwo,n_row,izero,izero,izero/))
    goto 9999
  end if
  if (y%get_nrows() < n_row) then 
    info = 36
    call psb_errpush(info,name,& 
         & i_err=(/ithree,n_row,izero,izero,izero/))
    goto 9999
  end if



  if (n_col <= size(work)) then 
    ww => work(1:n_col)
    if ((4*n_col+n_col) <= size(work)) then 
      aux => work(n_col+1:)
    else
      allocate(aux(4*n_col),stat=info)
    endif
  else
    allocate(ww(n_col),aux(4*n_col),stat=info)
  endif

  if (info /= psb_success_) then 
    info=psb_err_alloc_request_
    call psb_errpush(info,name,&
         & i_err=(/5*n_col,izero,izero,izero,izero/),&
         & a_err='real(psb_spk_)')
    goto 9999      
  end if

  call psb_geasb(wv,desc_data,info,mold=x%v,scratch=.true.) 
  call psb_geasb(xit,desc_data,info,mold=x%v,scratch=.true.) 

  select case(trans_)
  case('N')
    if (sv%eps <=szero) then
      !
      ! Fixed number of iterations
      !
      !
      !  WARNING: this is not completely satisfactory. We are assuming here Y
      !  as the initial guess, but this is only working if we are called from the
      !  current JAC smoother loop. A good solution would be to have a separate
      !  input argument as the initial guess
      !  
!!$      write(0,*) 'GS Iteration with ',sv%sweeps
      call psb_geaxpby(sone,y,szero,xit,desc_data,info)
      do itx=1,sv%sweeps
        call psb_geaxpby(sone,x,szero,wv,desc_data,info)
        ! Update with U. The off-diagonal block is taken care
        ! from the Jacobi smoother, hence this is purely local. 
        call psb_spmm(-sone,sv%u,xit,sone,wv,desc_data,info,doswap=.false.)
        call psb_spsm(sone,sv%l,wv,szero,xit,desc_data,info)
!!$        temp = xit%get_vect()
!!$        write(0,*) me,'GS Iteration ',itx,':',temp(1:n_row)
      end do
      
      call psb_geaxpby(alpha,xit,beta,y,desc_data,info)

    else
      !
      ! Iterations to convergence, not implemented right now. 
      !
      info = psb_err_internal_error_
      call psb_errpush(info,name,a_err='EPS>0 not implemented in GS subsolve')
      goto 9999
    
    end if
!!$  case('T')
!!$    call psb_spsm(sone,sv%u,x,szero,wv,desc_data,info,&
!!$         & trans=trans_,scale='L',diag=sv%dv,choice=psb_none_,work=aux)
!!$    if (info == psb_success_) call psb_spsm(alpha,sv%l,wv,beta,y,desc_data,info,&
!!$         & trans=trans_,scale='U',choice=psb_none_,work=aux)
!!$
!!$  case('C')
!!$
!!$    call psb_spsm(sone,sv%u,x,szero,wv,desc_data,info,&
!!$         & trans=trans_,scale='U',choice=psb_none_,work=aux)
!!$
!!$    call wv1%mlt(sone,sv%dv,wv,szero,info,conjgx=trans_)
!!$
!!$    if (info == psb_success_) call psb_spsm(alpha,sv%l,wv1,beta,y,desc_data,info,&
!!$         & trans=trans_,scale='U',choice=psb_none_,work=aux)

  case default
      info = psb_err_internal_error_
      call psb_errpush(info,name,& 
         & a_err='Invalid TRANS in GS subsolve')
    goto 9999
  end select


  if (info /= psb_success_) then

    call psb_errpush(psb_err_internal_error_,name,& 
         & a_err='Error in subsolve')
    goto 9999
  endif
  call wv%free(info)
  call xit%free(info)
  if (n_col <= size(work)) then 
    if ((4*n_col+n_col) <= size(work)) then 
    else
      deallocate(aux)
    endif
  else
    deallocate(ww,aux)
  endif

  call psb_erractionrestore(err_act)
  return

9999 call psb_error_handler(err_act)

  return

end subroutine mld_s_gs_solver_apply_vect