! AAS for Modified Davidson and Modified Kosugi
module m_ES_WF_by_ModifiedDavidson
#ifdef TRANSPOSE
#ifdef VPP
#define _ODD_BOUNDARY_
#endif
#ifdef SX
#define _ODD_BOUNDARY_
#endif
#ifdef NEC_TUNE1
#define _ODD_BOUNDARY_
#endif
  use m_Const_Parameters,    only : DP,SP,DIRECT,ON,OFF,SCF,GAMMA,OTHER_BANDS,SKIP,EXECUT,ELECTRON, OLD
  use m_Parallelization,     only : mpi_comm_group &
       &                          , myrank_e,myrank_k,map_e,map_k,ista_e,iend_e,istep_e &
       &                          , ista_k,iend_k,np_g1k,ista_g1,mpi_k_world,ierr,map_z &
       &                          , np_e,npes,nrank_e,mype,ista_g1k
  use m_Control_Parameters,  only : nspin,ipridavidson,kimg,neg,af,npartition_david &
       &                          , delta_eig_empty &
       &                          , delta_eig_occup &
       &                          , max_iter_david, sw_MRCV_only,eps_david &
       &                          , sw_keep_hloc_phi &
#ifdef SAVE_FFT_TIMES
       &                          , sw_divide_subspace, sw_save_fft, sw_hybrid_functional
#else
       &                          , sw_divide_subspace, sw_hybrid_functional
#endif
  use m_Files,               only : nfout
  use m_Timing,              only : tstatc0_begin, tstatc0_end
  use m_FFT,                 only : nfft,fft_box_size_WF, m_FFT_Vlocal_W, m_FFT_WF
  use m_Kpoints,             only : kv3,vkxyz, k_symmetry
  use m_PlaneWaveBasisSet,   only : kg1, iba, igf, nbase, m_pwBS_kinetic_energies
  use m_Electronic_Structure,only : zaj_l, neordr, nrvf_ordr, eko_l, vlhxcQ &
       &                          , occup_l &
       &                          , fsr_l,fsi_l, vnlph_l, vlhxc_l, vtau_l &
#ifdef SAVE_FFT_TIMES
       &                          , status_saved_phifftr &
#endif
       &                          , m_ES_Vlocal_in_Rspace &
       &                          , m_ES_WF_in_Rspace &
       &                          , m_ES_wd_zaj_small_portion &
       &                          , m_ES_wd_eko &
       &                          , m_ES_sort_eigen_values &
       &                          , hlocphi_l
  use m_ES_ortho,           only : np_g1k_x                                          &
       &                         , m_ES_W_transpose_r                                &
       &                         , m_ES_W_transpose_back_r                           &
       &                         , m_ES_W_transpose_back_r_cmplx                     &
       &                         , m_ES_orthogonal_phi_to_WFs
  use m_ES_nonlocal,        only : m_ES_Vnonlocal_W                                  &
       &                         , m_ES_betar_dot_WFs_4_each_k                       &
       &                         , m_ES_alloc_scss_etc                               &
       &                         , m_ES_dealloc_scss_etc                             &
       &                         , m_ES_betar_dot_Psi_4_each_k
  use m_Ionic_System,       only : natm, iwei, ityp, ntyp
  use m_PseudoPotential,    only : ilmt,nlmta,lmta,q,dion &
       &                         , lmtt,ltp,mtp &
       &                         , m_PP_include_vanderbilt_pot &
       &                         , ipaw,dion_paw,modnrm
  use m_NonLocal_Potential, only : snl

! ============================== added by K. Tagami ================== 11.0
  use m_Const_Parameters,   only : CMPLDP, Neglected
  use m_Control_Parameters,  only : ndim_spinor, noncol, ndim_chgpot, SpinOrbit_mode, &
       &                            sw_hubbard
  use m_PseudoPotential,     only : q_noncl, dion_scr_noncl
  use m_Electronic_Structure,  only : m_ES_Vlocal_in_Rspace_noncl

  use m_FFT,                 only : m_FFT_Vlocal_W_noncl
  use m_ES_ortho,              only : m_ES_orthogonl_SD_to_WFs_noncl
  use m_Electronic_Structure,      only : m_ES_sort_eigen_vals_noncl
! ==================================================================== 11.0

  use m_Control_Parameters,  only : use_metagga, vtau_exists
  use m_ES_WF_by_SDorCG,     only : m_ES_contrib_kindens_to_vnlph, &
       &                            m_ES_kindens_to_vnlph_ib, m_ES_kindens_to_vnlph_ib2

  use m_ES_ExactExchange, only : m_ES_Vexx_W,m_ES_EXX_potential &
     , m_ES_EXX_gather_valence_states

  implicit none
  integer, private, parameter                         :: sw_timing_2ndlevel = ON

  private
  
  integer, allocatable, dimension(:) :: nsize_subspace, nsize_matrix
  integer, allocatable, dimension(:) :: ista_e_l,iend_e_l,ielm_e_l
  integer :: nsize_sb_now, nsize_mt_now, nsize_mt_old,msize_matrix
  integer :: nblock,msize_subspace
  real(kind=DP), allocatable, target, dimension(:) :: w1hw2,w1hw2_mpi
  real(kind=DP), allocatable, target, dimension(:) :: w1sw2,w1sw2_mpi
  real(kind=DP), allocatable, target, dimension(:,:,:,:) :: zat_l
  real(kind=DP), allocatable, target, dimension(:,:,:,:) :: zah_l
  real(kind=DP), allocatable, target, dimension(:,:,:) :: fsr,fsi
  real(kind=DP), pointer, dimension(:,:,:) :: fsr_p,fsi_p
  real(kind=DP), allocatable, target, dimension(:,:,:) :: fsr_t0,fsi_t0
  real(kind=DP), allocatable, dimension(:,:,:) :: fsr_mpi,fsi_mpi
  real(kind=DP), pointer, dimension(:,:,:,:) :: zat_l_p, zah_l_p
  real(kind=DP), allocatable, target, dimension(:,:,:,:) :: zat_l_t,zah_l_t
  logical, allocatable, target, dimension(:)   :: feigconv_t
  logical, allocatable, dimension(:)   :: feigconv_mpi
  logical, pointer, dimension(:)   :: feigconv_p
  real(kind=DP), allocatable, dimension(:,:,:) :: zajold_l
  real(kind=DP), allocatable, dimension(:,:,:) :: zaj_l_backup
  real(kind=DP), allocatable, dimension(:,:) :: fsrold_l,fsiold_l
  real(kind=DP), allocatable, dimension(:,:,:,:):: wfsd_l  !d(kg1,np_e,ik:ik,kimg)
  real(kind=DP), allocatable, dimension(:,:,:)  :: bsdr_l, bsdi_l !d(np_e,nlmta,1)
  real(kind=DP) :: eps_residual
  logical, allocatable, target, dimension(:)   :: feigconv
  integer, allocatable, dimension(:,:) :: ibover

  real(kind=DP), allocatable,dimension(:) ::     eko_d
  real(kind=DP), allocatable,dimension(:) ::     eko_d_mpi
  integer, allocatable,dimension(:) ::     occup
  
  public :: m_ESmddavid_Renew_WF
  public :: m_ESmddavid_Subspace_Rotation
    
! --------------------
! non-collinear
! --------------------
  real(kind=DP), allocatable, dimension(:,:,:,:,:) :: zat_l_noncl
  real(kind=DP), allocatable, dimension(:,:,:,:,:) :: zah_l_noncl
  real(kind=DP), allocatable, dimension(:,:,:,:) :: fsr_noncl, fsi_noncl
  real(kind=DP), allocatable, dimension(:,:,:,:) :: zaj_l_backup_noncl
!
  real(kind=DP), allocatable, dimension(:,:,:,:) :: zajold_l_noncl
  real(kind=DP), allocatable, dimension(:,:,:) :: fsrold_l_noncl,fsiold_l_noncl

  public :: m_ESmddavid_Renew_WF_noncl
  public :: m_ESmddavid_Subspace_Rot_noncl
  
! --------------------
! meta-gga
! --------------------
  real(kind=DP), allocatable :: cfft(:)


  integer :: icountocc,icountuocc

  include 'mpif.h'

contains
  
! ================================= added by K. Tagami ================ 11.0
  subroutine m_ESmddavid_Renew_WF_noncl(nfout,precon)
    integer, intent(in) :: nfout,precon
    integer             :: ispin, ik, iksnl, switch_of_eko_part
    integer :: iblock,itot

    real(kind=DP), allocatable ::  afft_kt(:,:)
    real(kind=DP), allocatable ::  bfft_kt(:,:)
    real(kind=DP), allocatable :: vnlph_noncl(:,:,:,:)

    real(kind=DP), allocatable, dimension(:) :: ekin,p

    logical :: frestart
    integer :: max_itot
    integer :: iblock_now, itot_now, ipri0
    integer :: n_unconv

    integer :: is1, is2, istmp, k2
    real(kind=DP), allocatable, dimension(:,:,:) :: vexx
    real(kind=DP) :: exx
    integer :: ng

    max_itot = 1

    allocate(ekin(kg1),p(kg1))
    ng = kg1
    call m_ES_alloc_scss_etc()
    allocate(afft_kt(nfft,ndim_chgpot)); afft_kt = 0.0d0
    allocate(bfft_kt(nfft,ndim_spinor)); bfft_kt = 0.0d0
    allocate(vnlph_noncl(kg1,np_e,kimg,ndim_spinor)); vnlph_noncl = 0.0d0

    call allocate_matrix_noncl
    call m_ES_Vlocal_in_Rspace_noncl( afft_kt )    ! (ptfft1) vlhxc_l->afft
    Do ik=1, kv3, ndim_spinor
       if ( map_k(ik) /= myrank_k )  cycle          ! MPI
       iksnl = (ik-1)/ndim_spinor + 1

       call allocate_t_matrix_noncl( ik, ik +ndim_spinor -1 ) ! -> np_g1k_x
       call m_pwBS_kinetic_energies( ik, vkxyz, ekin ) ! (diakin) ->ekin

! ===== ASMS 2017/08/31
!       max_itot=0
! ===== ASMS 2017/08/31

       feigconv = .false.

       Loop: do itot=1,max_iter_david
          itot_now = itot
! ===== ASMS 2017/08/31
!          if (itot>max_itot) max_itot=itot
! ===== ASMS 2017/08/31
          
          vnlph_noncl = 0.0d0
          Do is1=1, ndim_spinor
             Do is2=1, ndim_spinor
                istmp = ( is1-1 )*ndim_spinor +is2
                k2 = ik +is2 -1

! ===== ASMS 2017/08/31
!                if ( precon==ON ) then
!                   call m_ES_Vnonlocal_W( k2, iksnl, istmp, switch_of_eko_part=OFF )
!                   ! -> vnlph_l
!                   if(sw_hybrid_functional==ON) call m_ES_Vexx_W(k2)
!                else
!                   call m_ES_Vnonlocal_W( k2, iksnl, istmp, switch_of_eko_part=ON )
!                   if(sw_hybrid_functional==ON) call m_ES_Vexx_W(k2)
!                   ! -> vnlph_l
!                endif
!
                call m_ES_Vnonlocal_W( k2, iksnl, istmp, switch_of_eko_part=ON )
                if(sw_hybrid_functional==ON) call m_ES_Vexx_W(k2)
! ===== ASMS 2017/08/31

                vnlph_noncl(:,:,:,is1) = vnlph_noncl(:,:,:,is1) &
                     &                     + vnlph_l(:,:,:)
             End do
          End do

          call decide_correction_vec_noncl( precon, ik, ekin, &
               &                               afft_kt, bfft_kt, vnlph_noncl, p )  
                                                              ! -> wfsd_l
               
          call prepare_Hloc_phi_noncl( ik, ekin, afft_kt, bfft_kt, itot )  
          
          Block_Loop: do iblock=1,nblock
             iblock_now = iblock
             call evolve_WFs_in_subspace_noncl( ik, ekin, afft_kt, &
                  &                             iblock, itot, frestart )

             if (ik==1.and.ipridavidson>= 2) then
                Do is1=1, ndim_spinor
                   call m_ES_wd_zaj_small_portion( nfout, ik+is1-1, &
                        &                          " -- after md davidson --",21 )
                End do
             endif

!             if(frestart) exit David_Loop
!            if(eigenvalues_are_converged(n_unconv)) exit Loop

          end do Block_Loop

! -
          Do is1=1, ndim_spinor
             call m_ES_betar_dot_WFs_4_each_k( nfout, ik+is1-1 )   ! -> fsr_l,fsi_l
          End do

       end do Loop

       if(ipridavidson>=2) then
          write(nfout,'("MdDavidson: ik=",i5," itot=",i5," subspace=",i5)') &
               &               ik, itot_now, nsize_sb_now
       end if
       call deallocate_t_matrix
    enddo      ! k-point loop

    call deallocate_matrix_noncl

! ===== ASMS 2017/08/31
!    if (ipridavidson>=2) then
!       write(nfout,'("Modified Davidson: max_itot=",i5)') max_itot
!    end if
!
! ===== ASMS 2017/08/31

    call m_ES_sort_eigen_vals_noncl()


    call get_ipri0(ipridavidson,ipri0)
    if(ipri0 >= 2) call m_ES_wd_eko(nfout,mode=SCF)
!
    deallocate(bfft_kt);   deallocate(afft_kt)
    call m_ES_dealloc_scss_etc()
    deallocate(ekin,p)
  contains

    subroutine get_ipri0(ipri_in, ipri_out)
      integer, intent(in)  :: ipri_in
      integer, intent(out) :: ipri_out
      if(npes > 1) then
         if(mype == 0) ipri_out = ipri_in
         call mpi_bcast(ipri_out,1,mpi_integer,0,mpi_comm_group,ierr)
      else
         ipri_out = ipri_in
      end if
    end subroutine get_ipri0

    logical function eigenvalues_are_converged(n_unconv)
       integer, intent(out) :: n_unconv
       integer :: ib

       n_unconv = 0
       eigenvalues_are_converged = .true.
       do ib=1,np_e
          if(.not.feigconv(ib)) then
             eigenvalues_are_converged = .false.
             n_unconv = n_unconv + 1
          end if
       end do
    end function eigenvalues_are_converged

  end subroutine m_ESmddavid_Renew_WF_noncl
! ================================================================= 11.0

! =========================== added by K. Tagami ============== 11.0
  subroutine allocate_matrix_noncl
    integer:: i,j
    
    nblock = npartition_david
    if(np_e .lt. npartition_david) nblock = np_e
!!$    nblock = npartition_mddavid
!!$    if(np_e .lt. npartition_mddavid) nblock = np_e
    
    allocate(nsize_subspace(nblock))
    allocate(nsize_matrix(nblock))
    allocate(ista_e_l(nblock))
    allocate(iend_e_l(nblock))
    allocate(ielm_e_l(nblock))
    ielm_e_l=np_e/nblock
    j = mod(np_e,nblock)
    do i = 1, j
       ielm_e_l(i) = ielm_e_l(i) + 1
    end do
    ista_e_l(1) = 1
    do i = 2, nblock
       ista_e_l(i) = ista_e_l(i-1) + ielm_e_l(i-1)
       iend_e_l(i-1) = ista_e_l(i) - 1
    end do
    iend_e_l(nblock) = np_e
    do i=1,nblock
      if(sw_MRCV_only==ON)then
         nsize_subspace(i)=ielm_e_l(i)*2
         nsize_matrix(i)=nsize_subspace(i)*(nsize_subspace(i)+1)/2
      else
         nsize_subspace(i)=ielm_e_l(i)*(max_iter_david+1)
         nsize_matrix(i)=nsize_subspace(i)*(nsize_subspace(i)+1)/2
      endif
    end do
    msize_subspace=maxval(nsize_subspace)
    msize_matrix=maxval(nsize_matrix)
    allocate(feigconv(np_e))
    allocate(ibover(msize_subspace,nblock))

    if(sw_MRCV_only==ON)then
       allocate( fsr_noncl(np_e,nlmta,2,ndim_spinor ) )
       if(.not.(kv3/ndim_spinor == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          allocate(fsi_noncl(np_e,nlmta,2,ndim_spinor))
       end if
    else
       allocate(fsr_noncl(np_e,nlmta,max_iter_david+1,ndim_spinor))
       if(.not.(kv3/ndim_spinor == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          allocate(fsi_noncl(np_e,nlmta,max_iter_david+1,ndim_spinor))
       end if
    endif
    eps_residual = eps_david
!!    allocate(zajold_l(kg1,np_e,kimg,ndavid)) ! MPI
!!    allocate(zaj_l_backup(kg1,np_e,kimg)) ! MPI

! ----------------------------------------- KTDebug : 2012/09/26 --
    if ( .not. allocated(zajold_l_noncl ) ) then
       allocate(zajold_l_noncl(kg1,np_e,kimg,ndim_spinor))
    endif
    if ( .not. allocated(fsrold_l_noncl ) ) then
       allocate(fsrold_l_noncl(np_e,nlmta,ndim_spinor))
    endif

    if(.not.(kv3/ndim_spinor == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
       if ( .not. allocated(fsiold_l_noncl ) ) then
          allocate(fsiold_l_noncl(np_e,nlmta,ndim_spinor))
       endif
    end if
! ----------------------------------------- KTDebug : 2012/09/26 --

  end subroutine allocate_matrix_noncl
! ======================================================== 11.0

! =========================== addd by K. Tagami ============= 11.0
  subroutine deallocate_matrix_noncl
    deallocate(nsize_subspace)
    deallocate(nsize_matrix)
    deallocate(ista_e_l)
    deallocate(iend_e_l)
    deallocate(ielm_e_l)
    deallocate(feigconv)
    deallocate(ibover)
    deallocate(fsr_noncl)
    if ( allocated(fsi_noncl) )  deallocate( fsi_noncl )
    if(sw_MRCV_only==OFF)then
       deallocate(zajold_l_noncl)
       deallocate(fsrold_l_noncl)
       if(.not.(kv3/ndim_spinor == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          deallocate(fsiold_l_noncl)
       end if
    endif
!!    deallocate(zajold_l)
!!    deallocate(zaj_l_backup)
  end subroutine deallocate_matrix_noncl
! ============================================================ 11.0

! ====================== added by K. Tagami ================== 11.0
  subroutine allocate_t_matrix_noncl( ik1, ik2 )
    integer, intent(in) :: ik1, ik2
    integer :: kimg_t
    integer :: is,k1

! ---------------------------------------- KTDebug : 2012/09/26 --
    integer :: niter
! ---------------------------------------- KTDebug : 2012/09/26 --

    if(k_symmetry(ik1) == GAMMA) then
       kimg_t = 1
    else
       kimg_t = kimg
    end if    

! ---------------------------------------- KTDebug : 2012/09/26 --
!    allocate(zat_l_noncl(kg1,np_e,kimg,2,ndim_spinor)) ! MPI
!    allocate(zah_l_noncl(kg1,np_e,kimg,2,ndim_spinor)) ! MPI

    niter = max_iter_david+1
    if(sw_MRCV_only==ON) niter = 2

    allocate(zat_l_noncl(kg1,np_e,kimg,niter,ndim_spinor)) ! MPI
    allocate(zah_l_noncl(kg1,np_e,kimg,niter,ndim_spinor)) ! MPI
!
! ---------------------------------------- KTDebug : 2012/09/26 --

    allocate(w1hw2(msize_matrix*kimg_t))
    allocate(w1sw2(msize_matrix*kimg_t))

    if(npes>1) then
! ---------------------------------- KTDebug : 2012/10/28 --
!!       allocate(w1hw2_mpi(msize_matrix*kimg_t))
!!       allocate(w1sw2_mpi(msize_matrix*kimg_t))
       if ( allocated(w1hw2_mpi) ) deallocate(w1hw2_mpi)
       if ( allocated(w1sw2_mpi) ) deallocate(w1sw2_mpi)
       allocate(w1hw2_mpi(msize_matrix*kimg_t))
       allocate(w1sw2_mpi(msize_matrix*kimg_t))
! ---------------------------------- KTDebug : 2012/10/28 --
    end if

    allocate(wfsd_l(kg1,np_e,ik1:ik2,kimg)); wfsd_l = 0.d0
    allocate(bsdr_l(np_e,nlmta,ik1:ik2)); bsdr_l = 0.d0
    allocate(bsdi_l(np_e,nlmta,ik1:ik2)); bsdi_l = 0.d0
    if(sw_MRCV_only==OFF)then
       Do is=1, ndim_spinor
          k1 = ik1 + is -1
          zajold_l_noncl(:,:,:,is)= zaj_l(:,:,k1,:)
          fsrold_l_noncl(:,:,is)  = fsr_l(:,:,k1)

          if (.not.(kv3/ndim_spinor == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
             fsiold_l_noncl(:,:,is) = fsi_l(:,:,k1)
          end if
       End do
    endif
  end subroutine allocate_t_matrix_noncl
! ============================================================ 11.0
  
  subroutine SD_direction(precon,ik,ibo,ekin,p,itot,ng,vexx,vtau_phl,VlocalW)
    integer     , intent(in)                   :: precon,ik,ibo
    real(kind=DP), intent(in), dimension(kg1)  :: ekin
    integer,       intent(in)                  :: itot,ng
    real(kind=DP), intent(in), dimension(ng,kimg) :: vexx
    real(kind=DP), intent(in), dimension(kg1,kimg), optional :: vtau_phl
    real(kind=DP)             , dimension(kg1)  :: p
    real(kind=DP), intent(in), dimension(nfft), optional :: VlocalW

    integer       :: i, i1, ib
    real(kind=DP) :: devr,denom, e1, devi, norm, e0, devr0, devi0

    ib = map_z(ibo)                                  ! MPI
    denom = 1.d0/product(fft_box_size_WF(1:3,1))
    norm = 0.d0

    if(itot==1) then
       if(sw_keep_hloc_phi==ON) then
          if(kimg == 1) then
             do i = 1, iba(ik)
                zah_l(i,ib,1,1) = hlocphi_l(i,ib,ik,1)
             end do
             if(sw_hybrid_functional==ON) zah_l(1:iba(ik),ib,1,1) = zah_l(1:iba(ik),ib,1,1) + vexx(1:iba(ik),1)
             if( use_metagga .and. vtau_exists ) then
                zah_l(1:iba(ik),ib,1,1) = zah_l(1:iba(ik),ib,1,1) +vtau_phl(1:iba(ik),1)
             endif

          else if(kimg == 2) then
             do i = 1, iba(ik)
                zah_l(i,ib,1,1)   = hlocphi_l(i,ib,ik,1)
                zah_l(i,ib,2,1)   = hlocphi_l(i,ib,ik,2)
             end do
             if(sw_hybrid_functional==ON) then
                zah_l(1:iba(ik),ib,1,1) = zah_l(1:iba(ik),ib,1,1) + vexx(1:iba(ik),1)
                zah_l(1:iba(ik),ib,kimg,1) = zah_l(1:iba(ik),ib,kimg,1) + vexx(1:iba(ik),kimg)
             endif
             if( use_metagga .and. vtau_exists ) then
                zah_l(1:iba(ik),ib,1,1)    = zah_l(1:iba(ik),ib,1,1) &
                     &                      +vtau_phl(1:iba(ik),1)
                zah_l(1:iba(ik),ib,kimg,1) = zah_l(1:iba(ik),ib,kimg,1) &
                     &                      +vtau_phl(1:iba(ik),kimg)
             endif
          end if
       else
          if(kimg == 1) then
             do i = 1, iba(ik)
                i1    = igf(nbase(i,ik))
                devr  = ekin(i)*zaj_l(i,ib,ik,1)&
                     & + VlocalW(i1)*denom
                zah_l(i,ib,1,1) = devr
             end do
             if(sw_hybrid_functional==ON) then
                zah_l(1:iba(ik),ib,1,1) = zah_l(1:iba(ik),ib,1,1) + vexx(1:iba(ik),1)
             endif
             if( use_metagga .and. vtau_exists ) then
                zah_l(1:iba(ik),ib,1,1) = zah_l(1:iba(ik),ib,1,1) +vtau_phl(1:iba(ik),1)
             endif

          else if(kimg == 2) then
             do i = 1, iba(ik)
                i1    = igf(nbase(i,ik))
                e1    = ekin(i)
                devr  = e1*zaj_l(i,ib,ik,1) + VlocalW(2*i1-1)*denom
                devi  = e1*zaj_l(i,ib,ik,2) + VlocalW(2*i1  )*denom
                zah_l(i,ib,1,1) = devr
                zah_l(i,ib,2,1) = devi
             end do
             if(sw_hybrid_functional==ON) then
                zah_l(1:iba(ik),ib,1,1) = zah_l(1:iba(ik),ib,1,1) + vexx(1:iba(ik),1)
                zah_l(1:iba(ik),ib,kimg,1) = zah_l(1:iba(ik),ib,kimg,1) + vexx(1:iba(ik),kimg)
             endif
             if( use_metagga .and. vtau_exists ) then
                zah_l(1:iba(ik),ib,1,1)    = zah_l(1:iba(ik),ib,1,1) &
                     &                      +vtau_phl(1:iba(ik),1)
                zah_l(1:iba(ik),ib,kimg,1) = zah_l(1:iba(ik),ib,kimg,1) &
                     &                      +vtau_phl(1:iba(ik),kimg)
             endif
          end if
       endif
    endif

    if(kimg == 1) then
       do i = 1, iba(ik)
          devr  = zah_l(i,ib,1,1) + vnlph_l(i,ib,1) - eko_l(ib,ik)*zaj_l(i,ib,ik,1)
          if(sw_hybrid_functional==ON) devr = devr-vexx(i,1)
          if( use_metagga .and. vtau_exists ) then
             devr = devr -vtau_phl(i,1)
          endif
          wfsd_l(i,ib,ik,1) = - devr
          norm = norm + devr*devr
       end do
    else if(kimg == 2) then
       do i = 1, iba(ik)
          devr  = zah_l(i,ib,1,1) + vnlph_l(i,ib,1) - eko_l(ib,ik)*zaj_l(i,ib,ik,1)
          devi  = zah_l(i,ib,2,1) + vnlph_l(i,ib,2) - eko_l(ib,ik)*zaj_l(i,ib,ik,2)
          if(sw_hybrid_functional==ON) then
            devr = devr - vexx(i,1)
            devi = devi - vexx(i,2)
          endif
          if( use_metagga .and. vtau_exists ) then
             devr = devr -vtau_phl(i,1)
             devi = devi -vtau_phl(i,2)
          endif
          wfsd_l(i,ib,ik,1) = - devr
          wfsd_l(i,ib,ik,2) = - devi
          norm = norm + devr*devr + devi*devi
       end do
       if(k_symmetry(ik) == GAMMA) then
          devr=wfsd_l(1,ib,ik,1)
          devi=wfsd_l(1,ib,ik,2)
          norm = norm*2.d0 - devr*devr - devi*devi
       end if
    end if
    
!    feigconv(ib)=.false.
!    if(sqrt(norm) .lt. eps_residual) feigconv(ib)=.true.
    
    if(precon==ON) then
      call decide_precon_factor_wfsd(ik,ibo,ekin,p)
!call decide_precon_factor_david(ik,hdiag,sdiag,eko_l(ib,ik),p)
      if(kimg == 1) then
         do i = 1, iba(ik)
            wfsd_l(i,ib,ik,1) = p(i)*wfsd_l(i,ib,ik,1)
         end do
      else if(kimg == 2) then
         do i = 1, iba(ik)
            wfsd_l(i,ib,ik,1) = p(i)*wfsd_l(i,ib,ik,1)
            wfsd_l(i,ib,ik,2) = p(i)*wfsd_l(i,ib,ik,2)
         end do
      end if
    end if
  end subroutine SD_direction
  
! ============================= added by K. Tagami ================ 11.0
  subroutine SD_direction_noncl( precon, ik, ibo, ekin, VlocalW_noncl, &
       &                         vnlph_noncl, p )
    integer     , intent(in)                   :: precon,ik,ibo
    real(kind=DP), intent(in), dimension(kg1)  :: ekin
    real(kind=DP), intent(in), dimension(nfft,ndim_spinor) :: VlocalW_noncl
    real(kind=DP), intent(in), dimension(kg1,np_e,kimg,ndim_spinor) :: vnlph_noncl

    real(kind=DP)             , dimension(kg1)  :: p

    integer       :: i, i1, ib, is, k1
    real(kind=DP) :: devr,denom, e1, devi, norm, ctmp

    ib = map_z(ibo)                                  ! MPI
    denom = 1.d0/product(fft_box_size_WF(1:3,1))
    norm = 0.d0

    if(kimg == 1) then
       Do is=1, ndim_spinor
          k1 = ik + is -1
          do i = 1, iba(ik)
             i1    = igf(nbase(i,ik))
             devr  = (ekin(i)-eko_l(ib,ik))*zaj_l(i,ib,k1,1)&
                  & + VlocalW_noncl(i1,is)*denom + vnlph_noncl(i,ib,1,is)
             wfsd_l(i,ib,k1,1) = - devr
             norm = norm + devr*devr
          end do
       End do
    else if(kimg == 2) then
       Do is=1, ndim_spinor
          k1 = ik + is -1
          do i = 1, iba(ik)
             i1    = igf(nbase(i,ik))
             e1    = ekin(i) - eko_l(ib,ik)
             devr  = e1*zaj_l(i,ib,k1,1) + VlocalW_noncl(2*i1-1,is)*denom &
                  &  +vnlph_noncl(i,ib,1,is)
             devi  = e1*zaj_l(i,ib,k1,2) + VlocalW_noncl(2*i1  ,is)*denom &
                  &  +vnlph_noncl(i,ib,2,is)
             wfsd_l(i,ib,k1,1) = - devr
             wfsd_l(i,ib,k1,2) = - devi
             norm = norm + devr*devr + devi*devi
          end do
       End do

       if(k_symmetry(ik) == GAMMA) then
          ctmp = 0.0d0
          Do is=1, ndim_spinor
             k1 = ik + is -1
             devr = wfsd_l(1,ib,k1,1)
             devi = wfsd_l(1,ib,k1,2)
             ctmp = ctmp + devr*devr + devi*devi
          End do
          norm = norm*2.d0 - ctmp
       end if
    end if
    
!    feigconv(ib)=.false.
!    if(sqrt(norm) .lt. eps_residual) feigconv(ib)=.true.
    
    if(precon==ON) then
      call decide_precon_factor_wfsd(ik,ibo,ekin,p)
!call decide_precon_factor_david(ik,hdiag,sdiag,eko_l(ib,ik),p)
      if(kimg == 1) then
         Do is=1, ndim_spinor
            k1 = ik + is -1
            do i = 1, iba(ik)
               wfsd_l(i,ib,k1,1) = p(i)*wfsd_l(i,ib,k1,1)
            end do
         End do
      else if(kimg == 2) then
         Do is=1, ndim_spinor
            k1 = ik + is -1
            do i = 1, iba(ik)
               wfsd_l(i,ib,k1,1) = p(i)*wfsd_l(i,ib,k1,1)
               wfsd_l(i,ib,k1,2) = p(i)*wfsd_l(i,ib,k1,2)
            end do
         End do
      end if
    end if
  end subroutine SD_direction_noncl
! ============================================================= 11.0

  subroutine decide_precon_factor_wfsd(ik,ibo,ekin,p)
    integer, intent(in)                         :: ik,ibo
    real(kind=DP), intent(in),  dimension(kg1)  :: ekin
    real(kind=DP), intent(out), dimension(kg1)  :: p

    integer       :: i
    real(kind=DP) :: ektot, x, x1, x2, d_ektot

!    call kinetic_energy_wfsd(ik,ibo,ekin,ektot)   ! -here

! ====================== modified by K. Tagami =============== 11.0
!    call kinetic_energy(ik,ibo,ekin,ektot)   ! -here

    if ( noncol ) then
       call kinetic_energy_noncl(ik,ibo,ekin,ektot)   ! -here
    else
       call kinetic_energy(ik,ibo,ekin,ektot)   ! -here
    end if
! ============================================================ 11.0

    d_ektot = 4.d0/ektot/3.d0
    p = 0.d0
    do i = 1, iba(ik)
       x = ekin(i)*d_ektot
       x1 = (x*x+9.d0)*(x+3.d0)
       x2 = (x*x)*(x*x)
       p(i)  = x1/(x1 + x2 )
    end do
!    p=p*d_ektot
  end subroutine decide_precon_factor_wfsd
  
  subroutine kinetic_energy_wfsd(ik,ibo,dekin,ektot)
    integer, intent(in) :: ik, ibo
    real(kind=DP), intent(in), dimension(kg1)  :: dekin
    real(kind=DP), intent(out)                 :: ektot
    integer  :: i, ri, ib
    ektot = 0.d0
    ib=map_z(ibo)
    do ri = 1, kimg
       do i = 1, iba(ik)
          ektot = ektot + dekin(i)*wfsd_l(i,ib,ik,ri)**2   ! MPI
       end do
    end do

    if(k_symmetry(ik) == GAMMA) ektot = ektot*2.d0

  end subroutine kinetic_energy_wfsd
  
  subroutine kinetic_energy(ik,ibo,dekin,ektot)
    integer, intent(in) :: ik, ibo
    real(kind=DP), intent(in), dimension(kg1) :: dekin
    real(kind=DP), intent(out)                 :: ektot
    integer  :: i, ib
    ektot = 0.d0
    ib = map_z(ibo)
    if(kimg == 1) then
       do i = 1, iba(ik)
          ektot = ektot + dekin(i)*zaj_l(i,ib,ik,1)**2
       end do
    else
       do i = 1, iba(ik)
          ektot = ektot + dekin(i)*( zaj_l(i,ib,ik,1)**2 &
               &                   + zaj_l(i,ib,ik,2)**2)
       end do
    end if
    if(k_symmetry(ik) == GAMMA)  ektot = ektot*2.d0
  end subroutine kinetic_energy

! ======================= added by K. Tagami =============== 11.0
  subroutine kinetic_energy_noncl( ik, ibo, dekin, ektot )
    integer, intent(in) :: ik, ibo
    real(kind=DP), intent(in), dimension(kg1) :: dekin
    real(kind=DP), intent(out)                 :: ektot
    integer  :: i, ib, is, k1

    ektot = 0.d0
    ib = map_z(ibo)
    if(kimg == 1) then
       Do is=1, ndim_spinor
          k1 = ik + is -1
          do i = 1, iba(ik)
             ektot = ektot + dekin(i)*zaj_l(i,ib,k1,1)**2
          end do
       End do
    else
       Do is=1, ndim_spinor
          k1 = ik + is -1
          do i = 1, iba(ik)
             ektot = ektot + dekin(i)*( zaj_l(i,ib,k1,1)**2 &
                  &                   + zaj_l(i,ib,k1,2)**2)
          end do
       End do
    end if
    if(k_symmetry(ik) == GAMMA)  ektot = ektot*2.d0
  end subroutine kinetic_energy_noncl
! ======================================================== 11.0

  

! ===================== added by K. Tagami =================== 11.0
  subroutine orthogonalize_SD_drctns_noncl(ik,to)
    integer, intent(in) :: ik,to

    integer :: is, itmp, k1
    integer :: id_sname = -1

    call tstatc0_begin('orthogonalize_SD_drctns_noncl in Modified Davidson ', id_sname)
    if(sw_MRCV_only==OFF)then
       Do is=1, ndim_spinor
          k1 = ik + is -1
          zat_l_noncl(:,:,:,1,is) = zaj_l(:,:,k1,:)
          fsr_noncl(:,:,1,is)     = fsr_l(:,:,k1)
       End do

       if (.not.(kv3/ndim_spinor == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          Do is=1, ndim_spinor
             k1 = ik + is -1
             fsi_noncl(:,:,1,is) = fsi_l(:,:,k1)
          End do
       end if
    
       Do is=1, ndim_spinor
          k1 = ik + is -1
          zaj_l(:,:,k1,:) = zajold_l_noncl(:,:,:,is)
#ifdef SAVE_FFT_TIMES
          if(sw_save_fft == ON) status_saved_phifftr(:,k1) = OLD
#endif
          fsr_l(:,:,k1) = fsrold_l_noncl(:,:,is)
          if(.not.(kv3/ndim_spinor == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
             fsi_l(:,:,k1) = fsiold_l_noncl(:,:,is)
          end if
       End do
    endif

    itmp = modnrm;  modnrm = EXECUT
    Do is=1, ndim_spinor
       call m_ES_betar_dot_Psi_4_each_k(nfout, wfsd_l, ik, ik+ndim_spinor-1, &
            &                            ik +is -1, bsdr_l, bsdi_l )
                                        !           ->bsd(ri)_l
    End do

    call m_ES_orthogonl_SD_to_WFs_noncl( ik, to, ik, ik+ndim_spinor-1, &
        &                                wfsd_l, bsdr_l, bsdi_l)
                                             ! ->(wfsd_l,bsd(ri)_l)
    modnrm=itmp

    call tstatc0_end(id_sname)

  end subroutine orthogonalize_SD_drctns_noncl
! ================================================================== 11.0
  
  subroutine normalize_wfsd(ik)
    integer,intent(in) :: ik
    real(kind=DP) :: norm, wfsdr, wfsdi
    integer :: ib1,ii,ib
    do ib1 = ista_e, iend_e, istep_e     ! MPI
       ib=map_z(ib1)
       norm = 0.d0
       if(kimg==1) then
          do ii=1,iba(ik)
             wfsdr = wfsd_l(ii,ib,ik,kimg)
             norm = norm + wfsdr*wfsdr
          end do
          norm = 1.d0/sqrt(norm)
          do ii=1,iba(ik)
             wfsd_l(ii,ib,ik,1) = wfsd_l(ii,ib,ik,1)*norm
          end do
          bsdr_l(ib,1:nlmta,ik) = bsdr_l(ib,1:nlmta,ik)*norm
          bsdi_l(ib,1:nlmta,ik) = bsdi_l(ib,1:nlmta,ik)*norm
       else
          do ii=1,iba(ik)
             wfsdr = wfsd_l(ii,ib,ik,1   )
             wfsdi = wfsd_l(ii,ib,ik,kimg)
             norm = norm + wfsdr*wfsdr+wfsdi*wfsdi
          end do
          norm = 1.d0/sqrt(norm)
          do ii=1,iba(ik)
             wfsd_l(ii,ib,ik,1) = wfsd_l(ii,ib,ik,1)*norm
             wfsd_l(ii,ib,ik,2) = wfsd_l(ii,ib,ik,2)*norm
          enddo
          if(k_symmetry(ik) == GAMMA) then
            bsdr_l(ib,1:nlmta,ik) = bsdr_l(ib,1:nlmta,ik)*norm
          else
            bsdr_l(ib,1:nlmta,ik) = bsdr_l(ib,1:nlmta,ik)*norm
            bsdi_l(ib,1:nlmta,ik) = bsdi_l(ib,1:nlmta,ik)*norm
          end if
       end if
    end do
    
  end subroutine normalize_wfsd

! ===================== added by K. Tagami  ================== 11.0
  subroutine normalize_wfsd_noncl(ik)
    integer,intent(in) :: ik
    real(kind=DP) :: norm, wfsdr, wfsdi
    integer :: ib1,ii,ib, is, k1

    do ib1 = ista_e, iend_e, istep_e     ! MPI
       ib=map_z(ib1)
       norm = 0.d0
       if (kimg==1) then
          Do is=1, ndim_spinor
             k1 = ik + is -1
             do ii=1,iba(ik)
                wfsdr = wfsd_l(ii,ib,k1,kimg)
                norm = norm + wfsdr*wfsdr
             end do
          End do
          norm = 1.d0 /sqrt(norm)
          Do is=1, ndim_spinor
             k1 = ik + is -1
             do ii=1,iba(ik)
                wfsd_l(ii,ib,k1,1) = wfsd_l(ii,ib,k1,1)*norm
             end do
             bsdr_l(ib,1:nlmta,k1) = bsdr_l(ib,1:nlmta,k1)*norm
             bsdi_l(ib,1:nlmta,k1) = bsdi_l(ib,1:nlmta,k1)*norm
          End do
       else
          Do is=1, ndim_spinor
             k1 = ik + is -1
             do ii=1,iba(ik)
                wfsdr = wfsd_l(ii,ib,k1,1   )
                wfsdi = wfsd_l(ii,ib,k1,kimg)
                norm = norm + wfsdr*wfsdr+wfsdi*wfsdi
             end do
          End do
          norm = 1.d0/sqrt(norm)
          Do is=1, ndim_spinor
             k1 = ik + is -1
             do ii=1,iba(ik)
                wfsd_l(ii,ib,k1,1) = wfsd_l(ii,ib,k1,1)*norm
                wfsd_l(ii,ib,k1,2) = wfsd_l(ii,ib,k1,2)*norm
             enddo
             if(k_symmetry(ik) == GAMMA) then
                bsdr_l(ib,1:nlmta,k1) = bsdr_l(ib,1:nlmta,k1)*norm
             else
                bsdr_l(ib,1:nlmta,k1) = bsdr_l(ib,1:nlmta,k1)*norm
                bsdi_l(ib,1:nlmta,k1) = bsdi_l(ib,1:nlmta,k1)*norm
             end if
          End do
       end if
    end do
    
  end subroutine normalize_wfsd_noncl
! =========================================================== 11.0

  
! =========================== added by K. Tagami =============== 11.0
  subroutine prepare_Hloc_phi_noncl( ik, ekin, afft_kt, bfft_kt, itot )
    integer, intent(in) :: ik
    integer, intent(in) :: itot
    real(kind=DP), intent(in)  :: ekin(kg1)
    real(kind=DP), intent(inout)  :: afft_kt(nfft,ndim_chgpot)
    real(kind=DP), intent(out) :: bfft_kt(nfft,ndim_spinor)

    integer       :: ib1,i1,ii,ib, is, k1
    real(kind=DP) :: denom
    real(kind=DP) :: dr1,dr2,di1,di2,dd
    integer :: id_sname = -1, ipri0

    call tstatc0_begin('prepare_Hloc_phi_noncl (mddavidson) ', id_sname,1)

!    call get_ipri0(ipridavidson,ipri0)
    ipri0 = ipridavidson

    denom = 1.d0/product(fft_box_size_WF(1:3,1))


! (zaj_l <- (T+Vloc)|phi> )
!!    zaj_l(:,:,ik,:) = zajold_l(:,:,:,idavid)
!( tenchi ) (zat_l <- zaj_l)

    if(sw_MRCV_only==ON)then
       Do is=1, ndim_spinor
          zat_l_noncl(:,:,:,1,is) =  zaj_l(:,:,ik+is-1,:)
          zat_l_noncl(:,:,:,2,is) = wfsd_l(:,:,ik+is-1,:)
       End do

       Do is=1, ndim_spinor
          fsr_noncl(:,:,1,is) = fsr_l(:,:,ik+is-1)
          fsr_noncl(:,:,2,is) = bsdr_l(:,:,ik+is-1)
       End do
       if(.not.(kv3/ndim_spinor == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          Do is=1, ndim_spinor
             fsi_noncl(:,:,1,is) =  fsi_l(:,:,ik+is-1)
             fsi_noncl(:,:,2,is) = bsdi_l(:,:,ik+is-1)
          End do
       end if
    else
       Do is=1, ndim_spinor
!!       zat_l_noncl(:,:,:,1,is) = zaj_l(:,:,ik+is-1,:)
          zat_l_noncl(:,:,:,itot+1,is) = wfsd_l(:,:,ik+is-1,:)
       End do
    
       Do is=1, ndim_spinor
!       fsr_noncl(:,:,1,is) = fsr_l(:,:,ik+is-1)
          fsr_noncl(:,:,itot+1,is)=bsdr_l(:,:,ik+is-1)
       End do

       if(.not.(kv3/ndim_spinor == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          Do is=1, ndim_spinor
!          fsi_noncl(:,:,1,is) = fsi_l(:,:,ik+is-1)
             fsi_noncl(:,:,itot+1,is) = bsdi_l(:,:,ik+is-1)
          End do
       end if
    endif

    if(itot == 1) then
       do ib1 = ista_e, iend_e, istep_e     ! MPI
          Do is=1, ndim_spinor
             k1 = ik +is- 1
             call m_ES_WF_in_Rspace( k1, ib1, bfft_kt(:,is) )   !(swffft)
          End do
          call m_FFT_Vlocal_W_noncl( afft_kt, bfft_kt, ndim_chgpot, ndim_spinor )
                                       ! (afft, bfft)-> (bfft)
          Do is=1, ndim_spinor
             call m_FFT_WF( ELECTRON, nfout, bfft_kt(:,is), DIRECT, ON )
          End do

          ib = map_z(ib1)                 ! MPI
          if(kimg == 1) then
             Do is=1, ndim_spinor
                k1 = ik + is -1
                do ii=1,iba(ik)
                   i1  = igf(nbase(ii,ik))
                   dr1 = zaj_l( ii, ib, k1,1 )
                   dr2 = bfft_kt( i1,is )*denom
                   zah_l_noncl(ii,ib,1,1,is) = ekin(ii)*dr1+dr2
                enddo
             End do
          else
             Do is=1, ndim_spinor
                k1 = ik + is -1
                do ii=1,iba(ik)
                   i1  = igf(nbase(ii,ik))
                   dr1  = zaj_l( ii, ib, k1, 1 )
                   di1  = zaj_l( ii, ib, k1, kimg )
                   zah_l_noncl(ii,ib,   1,1,is) = ekin(ii)*dr1 &
                        &                        +bfft_kt(2*i1-1,is)*denom
                   zah_l_noncl(ii,ib,kimg,1,is) = ekin(ii)*di1 &
                        &                        +bfft_kt(2*i1,is)*denom
                enddo
             End do
          endif
       enddo
    end if
    
!!( tenchi ) (zah_l <- zaj_l)
    Do is=1, ndim_spinor
       k1 = ik + is -1
       zaj_l(:,:,k1,:) = wfsd_l(:,:,k1,:)
#ifdef SAVE_FFT_TIMES
       if(sw_save_fft == ON) status_saved_phifftr(:,k1) = OLD
#endif
    End do

    do ib1 = ista_e, iend_e, istep_e     ! MPI
       Do is=1, ndim_spinor
          k1 = ik +is- 1
          call m_ES_WF_in_Rspace( k1, ib1, bfft_kt(:,is) )!(swffft)
       End do
       call m_FFT_Vlocal_W_noncl( afft_kt, bfft_kt, ndim_chgpot, ndim_spinor )
                                       ! (afft, bfft)-> (bfft)
       Do is=1, ndim_spinor
          call m_FFT_WF( ELECTRON, nfout, bfft_kt(:,is), DIRECT, ON )
       End do

       ib = map_z(ib1)                 ! MPI
       if (kimg == 1) then
          Do is=1, ndim_spinor
             k1 = ik + is -1
             do ii=1,iba(ik)
                i1  = igf(nbase(ii,ik))
                dr1 = zaj_l(ii,ib,k1,1)
                dr2 = bfft_kt(i1,is)*denom
                if(sw_MRCV_only==ON)then
                   zah_l_noncl(ii,ib,1,2,is) = ekin(ii)*dr1+dr2
                else
                   zah_l_noncl(ii,ib,1,itot+1,is) = ekin(ii)*dr1+dr2
                endif
             enddo
          End Do
       else
          Do is=1, ndim_spinor
             k1 = ik + is -1
             do ii=1,iba(ik)
                i1  = igf(nbase(ii,ik))
                dr1  = zaj_l(ii,ib,k1,1)
                di1  = zaj_l(ii,ib,k1,kimg)
                if(sw_MRCV_only==ON)then
                   zah_l_noncl(ii,ib,1,   2,is) = ekin(ii)*dr1 &
                     &                        +bfft_kt(2*i1-1,is)*denom
                   zah_l_noncl(ii,ib,kimg,2,is) = ekin(ii)*di1 &
                     &                        +bfft_kt(2*i1,is)*denom
                else
                   zah_l_noncl(ii,ib,1,   itot+1,is) = ekin(ii)*dr1 &
                     &                        +bfft_kt(2*i1-1,is)*denom
                   zah_l_noncl(ii,ib,kimg,itot+1,is) = ekin(ii)*di1 &
                     &                        +bfft_kt(2*i1,is)*denom
                endif
             enddo
          End do
       endif
    enddo
    
    call tstatc0_end(id_sname)

!!$  contains
!!$  
!!$    subroutine get_ipri0(ipri_in, ipri_out)
!!$      integer, intent(in)  :: ipri_in
!!$      integer, intent(out) :: ipri_out
!!$      if(npes > 1) then
!!$         if(mype == 0) ipri_out = ipri_in
!!$         call mpi_bcast(ipri_out,1,mpi_integer,0,mpi_k_world(myrank_k),ierr)
!!$      else
!!$         ipri_out = ipri_in
!!$      end if
!!$    end subroutine get_ipri0

  end subroutine prepare_Hloc_phi_noncl
! ================================================================= 11.0

! ======================================= added by K. Tagami ============= 11.0
  subroutine evolve_WFs_in_subspace_noncl( ik, ekin, afft_kt, &
       &                                   iblock,itot,frestart )
    integer, intent(in) :: ik
    integer, intent(in) :: iblock,itot
    logical, intent(out) :: frestart
    real(kind=DP), intent(in)  :: ekin(kg1)
    real(kind=DP), intent(inout)  :: afft_kt(nfft,ndim_chgpot)

! (allocatable variables)
    real(kind=DP), allocatable,dimension(:) ::     eig
    real(kind=DP), allocatable,dimension(:,:) ::   vec

    integer       :: ib1,ib2,ib1to,ib2to,i1,ii,ri,ib
    integer       :: ibb1,ibb2
    integer       :: ii1,ii2,iter,iter1,iter2
    real(kind=DP) :: eko1, eko2, ekod
    real(kind=DP) :: hr2,hi2,dr1,dr2,di1,di2,dd
    integer :: ip0,ip0b,ip1,ip1b,ib1n,ib2n,ndata,nshift,kimg_t,ig1
    integer :: noffset
    integer :: nsize_max_sb_now
    integer :: ierr_diag
    integer :: nel,nsta,nend
    integer :: id_sname = -1, ipri0

    integer :: is
 
    call tstatc0_begin('evolve_WFs_in_subspace_noncl (modified davidson) ', id_sname,1)

!    call get_ipri0(ipridavidson,ipri0)
    ipri0 = ipridavidson
    
    if(k_symmetry(ik) == GAMMA) then
       kimg_t = 1
    else
       kimg_t = kimg
    end if
    
    nel =ielm_e_l(iblock)
    nsta=ista_e_l(iblock)
    nend=iend_e_l(iblock)

!    ip0=nsize_subspace(iblock)
!    do ib=1,ip0
!      ibover(ib,iblock) = ib
!    end do
    if(sw_MRCV_only==ON)then
       ip0=nel
       do ib=1,nel
         ibover(ib,iblock)=ib
         if(.not.feigconv(nsta+ib-1)) then
           ip0=ip0+1
           ibover(nel+ib,iblock) = ip0 
         else
           ibover(nel+ib,iblock) = -1
         end if
       end do

       nsize_sb_now = ip0
       nsize_mt_now = nsize_sb_now*(nsize_sb_now+1)/2
!      nsize_max_sb_now = neg*idavid
!      nsize_sb_now = nsize_subspace(iblock)          ! For the moment
!      nsize_mt_now = nsize_matrix(iblock)
       nsize_max_sb_now = nsize_subspace(iblock)
    else
       if(itot==1) then
         do ib=1,nel
           ibover(ib,iblock)=ib
         end do
         nsize_subspace(iblock)=nel
       end if

!       ip0=nsize_subspace(iblock)
!       do ib=1,ip0
!         ibover(ib,iblock) = ib
!       end do
    
       noffset=nel*itot
       ip0=nsize_subspace(iblock)
       do ib=1,nel
         if(.not.feigconv(nsta+ib-1)) then
           ip0=ip0+1
           ibover(noffset+ib,iblock) = ip0 
         else
           ibover(noffset+ib,iblock) = -1
         end if
       end do

       nsize_sb_now = ip0
       nsize_subspace(iblock) = ip0
       nsize_mt_now = nsize_sb_now*(nsize_sb_now+1)/2
       nsize_max_sb_now = nel*(itot+1)                   !nsize_subspace(iblock)
    endif
       
    if(ipridavidson >=2) then
       write(nfout,*) 'ibover=',ibover(1:nsize_max_sb_now,iblock)
    end if
!
    allocate(eig(nsize_sb_now)); eig=0.d0
    allocate(vec(nsize_sb_now*kimg_t,nsize_sb_now))
!    allocate(eko_d(neg));     eko_d = 0.d0
!    allocate(eko_d_mpi(neg))
!    allocate(occup(neg)); occup=0
!    allocate(occup_mpi(neg))

    if(ipridavidson >=2) then
       write(nfout,*) 'Modified Davidson:ik,iblock,nsize_sb_now=', ik,iblock,nsize_sb_now
    end if

!    do ib1 = 1, neg
!       if(map_e(ib1) == myrank_e) eko_d(ib1) = eko_l(map_z(ib1),ik)  ! MPI
!    end do
!    call mpi_allreduce(eko_d,eko_d_mpi,neg,mpi_double_precision,mpi_sum &
!         & ,mpi_k_world(myrank_k),ierr)       ! MPI
!    eko_d = eko_d_mpi                         ! MPI
    eko1 = sum(eko_l(nsta:nend,ik))
!
!    do ib1=1,neg
!       if(map_e(ib1) == myrank_e) then !MPI
!          if( occup_l(map_z(ib1),ik) > 0.d0 ) occup(ib1) = 1  ! MPI
!       end if
!    end do
!    call mpi_allreduce(occup,occup_mpi,neg,mpi_integer,mpi_sum &
!         & ,mpi_k_world(myrank_k),ierr)       ! MPI
!    occup = occup_mpi                         ! MPI
!
!! (zaj_l <- (T+Vloc)|phi> )
!!!    zaj_l(:,:,ik,:) = zajold_l(:,:,:,idavid)
!!( tenchi ) (zat_l <- zaj_l)
!    call m_ES_W_transpose(ista_k,iend_k,ik,zaj_l,zat_l(1,1,1,idavid))
!    do ib1 = ista_e, iend_e, istep_e     ! MPI
!       call m_ES_WF_in_Rspace(ik,ib1,bfft)!(swffft)
!       call m_FFT_Vlocal_W(afft,bfft)    ! (afft, bfft)-> (bfft)
!       call m_FFT_WF(ELECTRON,nfout,bfft,DIRECT,ON)
!       ib = map_z(ib1)                 ! MPI
!       if(kimg == 1) then
!          do ii=1,iba(ik)
!             i1  = igf(nbase(ii,ik))
!             dr1 = zaj_l(ii,ib,ik,1)
!             dr2 = bfft(i1)*denom
!             zaj_l(ii,ib,ik,1)= ekin(ii)*dr1+dr2
!          enddo
!       else
!          do ii=1,iba(ik)
!             i1  = igf(nbase(ii,ik))
!             dr1  = zaj_l(ii,ib,ik,1)
!             di1  = zaj_l(ii,ib,ik,kimg)
!             zaj_l(ii,ib,ik,1)= ekin(ii)*dr1+bfft(2*i1-1)*denom
!             zaj_l(ii,ib,ik,kimg)= ekin(ii)*di1+bfft(2*i1)*denom
!          enddo
!       endif
!    enddo
!!( tenchi ) (zah_l <- zaj_l)
!    call m_ES_W_transpose(ista_k,iend_k,ik,zaj_l,zah_l(1,1,1))

!! (make matrix elements )
!    ! <n|T+Vloc|m> !
    do ibb2 = 1,nsize_max_sb_now
       if(ibover(ibb2,iblock)<0) cycle
       ib2 = ibover(ibb2,iblock)
       iter2 = (ibb2-1)/nel+1
       ii2  = ibb2-nel*(iter2-1)
       ii2  = nsta+ii2-1
       ip0b = ib2*(ib2-1)/2
       do ibb1 = 1,ibb2
          if(ibover(ibb1,iblock)<0) cycle
          ib1 = ibover(ibb1,iblock)
          iter1 = (ibb1-1)/nel+1
          ii1 = ibb1-nel*(iter1-1)
          ii1 = nsta+ii1-1
          ip0 = ip0b + ib1

          if (kimg == 1) then
             w1hw2(ip0) = 0.d0
             w1sw2(ip0) = 0.d0
             Do is=1, ndim_spinor
                do ii = 1, iba(ik)            ! MPI
                   hr2 = zah_l_noncl(ii,ii2,1,iter2,is)
                   dr2 = zat_l_noncl(ii,ii2,1,iter2,is)
                   dr1 = zat_l_noncl(ii,ii1,1,iter1,is)
                   w1hw2(ip0) = w1hw2(ip0) + dr1*hr2
                   w1sw2(ip0) = w1sw2(ip0) + dr1*dr2
                end do
             End do
          else
             if(k_symmetry(ik) == GAMMA) then
                w1hw2(ip0) = 0.d0
                w1sw2(ip0) = 0.d0
!!$                ig1 = 1;  if(mype == 0) ig1 = 2
!!                ig1 = 1;  if(myrank_e == 0) ig1 = 2
                ig1 = 2
                Do is=1, ndim_spinor
                   do ii = ig1, iba(ik)            ! MPI
                      hr2 = zah_l_noncl(ii,ii2,1,iter2,is) ! MPI
                      hi2 = zah_l_noncl(ii,ii2,2,iter2,is) ! MPI
                      dr2 = zat_l_noncl(ii,ii2,1,iter2,is) ! MPI
                      di2 = zat_l_noncl(ii,ii2,2,iter2,is) ! MPI
                      dr1 = zat_l_noncl(ii,ii1,1,iter1,is) ! MPI
                      di1 = zat_l_noncl(ii,ii1,2,iter1,is) ! MPI
                      w1hw2(ip0) =w1hw2(ip0)+(dr1*hr2+di1*hi2)*2.d0
                      w1sw2(ip0) =w1sw2(ip0)+(dr1*dr2+di1*di2)*2.d0
                   end do
                End do
!!$                if(mype == 0) then
!!                if(myrank_e == 0) then

                Do is=1, ndim_spinor
                   hr2 = zah_l_noncl(1,ii2,1,iter2,is) ! MPI
                   hi2 = zah_l_noncl(1,ii2,2,iter2,is) ! MPI
                   dr2 = zat_l_noncl(1,ii2,1,iter2,is) ! MPI
                   di2 = zat_l_noncl(1,ii2,2,iter2,is) ! MPI
                   dr1 = zat_l_noncl(1,ii1,1,iter1,is) ! MPI
                   di1 = zat_l_noncl(1,ii1,2,iter1,is) ! MPI
                   w1hw2(ip0) =w1hw2(ip0)+dr1*hr2+di1*hi2
                   w1sw2(ip0) =w1sw2(ip0)+dr1*dr2+di1*di2
                End do
!!                end if

             else
                w1hw2(2*ip0-1:2*ip0) = 0.d0
                w1sw2(2*ip0-1:2*ip0) = 0.d0
                Do is=1, ndim_spinor
                   do ii = 1, iba(ik)           ! MPI
                      hr2 = zah_l_noncl(ii,ii2,1,iter2,is) ! MPI
                      hi2 = zah_l_noncl(ii,ii2,2,iter2,is) ! MPI
                      dr2 = zat_l_noncl(ii,ii2,1,iter2,is) ! MPI
                      di2 = zat_l_noncl(ii,ii2,2,iter2,is) ! MPI
                      dr1 = zat_l_noncl(ii,ii1,1,iter1,is) ! MPI
                      di1 = zat_l_noncl(ii,ii1,2,iter1,is) ! MPI
                      w1hw2(2*ip0-1) =w1hw2(2*ip0-1)+dr1*hr2+di1*hi2
                      w1hw2(2*ip0  ) =w1hw2(2*ip0  )+dr1*hi2-di1*hr2
                      w1sw2(2*ip0-1) =w1sw2(2*ip0-1)+dr1*dr2+di1*di2
                      w1sw2(2*ip0  ) =w1sw2(2*ip0  )+dr1*di2-di1*dr2
                   end do
                End do
             end if
          end if
       end do
    end do
    if(ipridavidson >= 3) call wd_w1hw2(" -- w1hw2 without nl part--",iblock)
    ! <n|Vnl|m> 
    call add_nonlocal_part_noncl ! w1hw2 = w1hw2 + w1Vnlw2
                                 ! w1sw2 = w1sw2 + w1qw2
    if(ipridavidson >= 3) call wd_w1hw2(" -- w1hw2 with nl part--",iblock)
!
!!$    if(ipridavidson >= 2) call wd_w1hw2(" -- just after making w1hw2 --",iblock)

!    if(ipridavidson >= 2) then
!       write(nfout,*) 'neordr for ik = ',ik
!       write(nfout,9002) (neordr(ib1,ik),ib1=1,neg)
!       write(nfout,*) 'nrvf_ordr for ik = ',ik
!       write(nfout,9002) (nrvf_ordr(ib1,ik),ib1=1,neg)
!       write(nfout,*) 'eig'
!       write(nfout,'(5x,10f8.4)') (eko_l(ib1,ik),ib1=1,np_e)
!    endif
!9002 format(5x,10i8)

!! (Diagonalization )  !!

    if(kimg_t == 1) then
       call dspgvx_driver_loc(eig,vec,w1hw2,w1sw2,ierr_diag,nel)
    else
       call zhpgvx_driver(eig,vec,w1hw2,w1sw2,ierr_diag,nel)
    endif

    frestart = .false.
    if(ierr_diag /= 0) then
!       zaj_l(:,:,ik,:) = zaj_l_backup(:,:,:)
!       do ib1 = 1, neg
!          if(map_e(ib1) == myrank_e) then         ! MPI
!             eko_l(map_z(ib1),ik)=eko_d(ib1)
!          end if
!       end do
       frestart = .true.
       
       Do is=1, ndim_spinor
          zaj_l(:,nsta:nend,ik+is-1,:) = zat_l_noncl(:,nsta:nend,:,1,is)
#ifdef SAVE_FFT_TIMES
          if(sw_save_fft == ON) status_saved_phifftr(nsta:nend,ik+is-1) = OLD
#endif
       End do

       if(ipridavidson >= 2) then
          write(nfout,*) '** restart Modified Davidson iteration **'
          write(nfout,*) 'ik=',ik,' iblock=',iblock,' itot=',itot
       end if
!!$print *,'Restart'
       goto 9000

    else

#if 0
       feigconv_p(nsta:nend) = .false.
       do ib=1,nel
          if(occup_l(nsta+ib-1,ik) > 0.d0) then
             if(abs(eko_l(nsta+ib-1,ik)-eig(ib)) < delta_eig_occup) &
                  feigconv_p(nsta+ib-1) = .true.
          else
             if(abs(eko_l(nsta+ib-1,ik)-eig(ib)) < delta_eig_empty) &
                  feigconv_p(nsta+ib-1) = .true.
          end if
       end do
#else
       feigconv(nsta:nend) = .false.
       do ib=1,nel
          if(occup_l(nsta+ib-1,ik) > 0.d0) then
             if(abs(eko_l(nsta+ib-1,ik)-eig(ib)) < delta_eig_occup) &
                  feigconv(nsta+ib-1) = .true.
          else
             if(abs(eko_l(nsta+ib-1,ik)-eig(ib)) < delta_eig_empty) &
                  feigconv(nsta+ib-1) = .true.
          end if
       end do
#endif
       if(ipri0 >= 2) then
          write(nfout,*) 'eko_l for ik = ',ik
          write(nfout,*) 'iblock       = ',iblock
          write(nfout,9001) (eko_l(nsta+ib-1,ik),ib=1,nel)
          write(nfout,*) 'eig for ik = ',ik
          write(nfout,9001) (eig(ib),ib=1,nel)
          call wd_w1hw2(" -- after diagonalization --",iblock)
!sum eko
          dr1=0.d0;dr2=0.d0
          do ib1=1,nel
             dr1=dr1+eko_l(nsta+ib1-1,ik) ! MPI
             dr2=dr2+eig(ib1)
          enddo
          write(nfout,'(" sum of eko_l, eig, abs diff =",3e25.10)') dr1,dr2,abs(dr2-dr1)
       endif

!!! (subspace rotation) !!
       call subspace_rotation_noncl ! vec,zat_l -> zat_l

!!( tenchi ) (zaj_l <- zat_l)
!       iter = min(idavid+1,ndavid)
!       call m_ES_W_transpose_back(ista_k,iend_k,ik,zaj_l,zat_l(1,1,1,iter))
!!       zaj_l_backup(:,nsta:nend,:) = zaj_l(:,nsta:nend,ik,:)
!! (eko_l)

       do ib1 = 1, nel
          eko_l(nsta+ib1-1,ik)=eig(ib1)
       end do
       if(ipridavidson >= 2) then
          eko2 = sum(eig(1:nel))
          write(nfout,1201) ik,eko1,ekod,eko2

          write(nfout,*) 'eko_l'
          write(nfout,9001) (eko_l(nsta+ib1-1,ik),ib1=1,nel)
       endif
1201   format(' %% for ik = ',i4,4x,' eko1&ekod&eko2 = ',3f14.7)
9001   format(5x,6f12.5)
!!! (neordr & nrvf_ordr)
       !
    end if
9000 continue
    !    neordr(1:neg,ik) = (/(ib1,ib1=1,neg)/)
!    nrvf_ordr(1:neg,ik) = (/(ib1,ib1=1,neg)/)
!
!! (deallocate)  
!    deallocate(eko_d)
!    deallocate(eko_d_mpi)
    deallocate(eig)
    deallocate(vec)
!    deallocate(occup)
!    deallocate(occup_mpi)
!
    call tstatc0_end(id_sname)
!
  contains

    subroutine get_ipri0(ipri_in, ipri_out)
      integer, intent(in)  :: ipri_in
      integer, intent(out) :: ipri_out
      if(npes > 1) then
         if(mype == 0) ipri_out = ipri_in
         call mpi_bcast(ipri_out,1,mpi_integer,0,mpi_k_world(myrank_k),ierr)
      else
         ipri_out = ipri_in
      end if
    end subroutine get_ipri0
!
    subroutine wd_w1hw2(somecomment,iblock)
      character(len=*), intent(in) :: somecomment
      integer,intent(in) :: iblock
      integer :: ib1, ib2, nel_wd, nsb_wd
      write(nfout,'(a35)') somecomment
      write(nfout,*) 'w1hw2 for ik = ',ik
      nel_wd = 8
      nsb_wd = 8
      if(nel_wd > nel) nel_wd = nel
      if(nsb_wd > nsize_sb_now) nsb_wd = nsize_sb_now
      if(kimg_t==1) then
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1hw2(ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      else
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1hw2(2*ip0-1),ip0=ip0b+1,ip0b+ib2)
         end do
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1hw2(2*ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      end if
      write(nfout,*) 'w1sw2 for ik = ',ik
      if(kimg_t==1) then
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1sw2(ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      else
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1sw2(2*ip0-1),ip0=ip0b+1,ip0b+ib2)
         end do
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1sw2(2*ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      end if
9001  format(5x,9f12.5)
      write(nfout,*) 'eko_l for ik = ',ik
      write(nfout,9001) (eko_l(nsta+ib1-1,ik),ib1=1,nel_wd)
    end subroutine wd_w1hw2

    subroutine add_nonlocal_part_noncl
      integer :: ip,ib1,ib2,ibb1,ibb2
      integer       :: ia, lmt1, lmt2, it, p, s, ib
      real(kind=DP) :: tmpr,tmpi

      integer :: is1, is2, is_tmp
      integer :: il1, il2, im1, im2
      integer :: mdvdb

      complex(kind=CMPLDP) :: facv,facq
      real(kind=DP) :: vr,vi,qr,qi, cv1, cv2, cq1, cq2

      do ibb2 = 1,nsize_max_sb_now
         if(ibover(ibb2,iblock)<0) cycle
         ib2 = ibover(ibb2,iblock)
         iter2= (ibb2-1)/nel+1
         ii2  = ibb2-nel*(iter2-1)
         ii2  = nsta+ii2-1
         ip0b = ib2*(ib2-1)/2
         do ibb1 = 1,ibb2
            if(ibover(ibb1,iblock)<0) cycle
            ib1 = ibover(ibb1,iblock)
            iter1=(ibb1-1)/nel+1
            ii1  = ibb1-nel*(iter1-1)
            ii1  = nsta+ii1-1
            ip0 = ip0b + ib1
!            if(mod(ip0-1,nrank_e)/=myrank_e) cycle
            if(kimg_t==1) then
               vr=0.d0
               qr=0.d0
            else
               vr=0.d0
               vi=0.d0
               qr=0.d0
               qi=0.d0
            end if

            do ia = 1, natm
               it = ityp(ia)

! ---------------------------------------------------- 11.0S
#ifdef SKIP_TEST
               mdvdb = m_PP_include_vanderbilt_pot(it)
#endif
! ---------------------------------------------------- 11.0S

               do lmt1 = 1, ilmt(it)
                  p = lmta(lmt1,ia)
                  il1 = ltp(lmt1,it); im1 = mtp(lmt1,it)

                  do lmt2 = 1, ilmt(it)
                     s = lmta(lmt2,ia)
                     il2 = ltp(lmt2,it); im2 = mtp(lmt2,it)
                     
! ---------------------------------------------------- 11.0S
#ifdef SKIP_TEST
                     if ( mdvdb == SKIP ) then
                        if ( il1 /= il2 ) cycle
                        if ( SpinOrbit_mode == Neglected .and. sw_hubbard == OFF ) then
                           if ( im1 /= im2 ) cycle
                        endif
                     endif
#endif
! ---------------------------------------------------- 11.0S

                     Do is1=1, ndim_spinor
                        Do is2=1, ndim_spinor
                           is_tmp = 2*( is1 -1 ) +is2
                           facv = iwei(ia) *dion_scr_noncl( lmt1, lmt2, is_tmp, ia )
                           facq = iwei(ia) *q_noncl( lmt1, lmt2, is_tmp, it )
                           
                           if ( kimg==1 ) then
                              tmpr =  fsr_noncl( ii1, p, iter1, is1 ) &
                                   & *fsr_noncl( ii2, s, iter2, is2 ) &
                                   & +fsi_noncl( ii1, p, iter1, is1 ) &
                                   & *fsi_noncl( ii2, s, iter2, is2 )
                              tmpi = fsr_noncl( ii1, p, iter1, is1 )&
        &                           *fsi_noncl( ii2, s, iter2, is2 )&
        &                          - fsi_noncl( ii1, p, iter1, is1 )&
        &                           *fsr_noncl( ii2, s, iter2, is2 )

                              vr = vr + real( facv )*tmpr -aimag( facv )*tmpi
                              qr = qr + real( facq )*tmpr -aimag( facq )*tmpi

                           else
                              if ( k_symmetry(ik) == GAMMA ) then
                                 tmpr = fsr_noncl( ii1, p, iter1, is1 )&
        &                              *fsr_noncl( ii2, s, iter2, is2 )
                                 vr = vr + real( facv )*tmpr
                                 qr = qr + real( facq )*tmpr
                              else
                                 tmpr = fsr_noncl( ii1, p, iter1, is1 )&
        &                              *fsr_noncl( ii2, s, iter2, is2 )&
        &                             + fsi_noncl( ii1, p, iter1, is1 )&
        &                              *fsi_noncl( ii2, s, iter2, is2 )
                                 tmpi = fsr_noncl( ii1, p, iter1, is1 )&
        &                              *fsi_noncl( ii2, s, iter2, is2 )&
        &                             - fsi_noncl( ii1, p, iter1, is1 )&
        &                              *fsr_noncl( ii2, s, iter2, is2 )

                                 cv1 = real(facv);  cv2 = aimag(facv)
                                 cq1 = real(facq);  cq2 = aimag(facq)

                                 vr = vr + cv1 *tmpr - cv2 *tmpi
                                 vi = vi + cv1 *tmpi + cv2 *tmpr
                                 qr = qr + cq1 *tmpr - cq2 *tmpi
                                 qi = qi + cq1 *tmpi + cq2 *tmpr
                              endif
                           endif
                        End do
                     End do

                  end do
               end do
            end do
            if(kimg_t==1) then
               w1hw2(ip0) = w1hw2(ip0) + vr
               w1sw2(ip0) = w1sw2(ip0) + qr
            else
               w1hw2(2*ip0-1) = w1hw2(2*ip0-1) + vr
               w1hw2(2*ip0  ) = w1hw2(2*ip0  ) + vi
               w1sw2(2*ip0-1) = w1sw2(2*ip0-1) + qr
               w1sw2(2*ip0  ) = w1sw2(2*ip0  ) + qi
            end if
         end do
      end do
    end subroutine add_nonlocal_part_noncl

    subroutine subspace_rotation_noncl
      integer :: ib1,ib2,ibb2
!!$      real(kind=DP), dimension(np_g1k_x,neg,kimg) :: zaj_wk
      real(kind=DP), allocatable, dimension(:,:,:,:) :: zaj_wk
      real(kind=DP), allocatable, dimension(:,:,:,:) :: zah_wk
      real(kind=DP), allocatable, dimension(:,:,:)   :: fsr_wk
      real(kind=DP), allocatable, dimension(:,:,:)   :: fsi_wk

      integer :: is, k1

      allocate(zaj_wk(kg1,nel,kimg,ndim_spinor))
      if(itot /= max_iter_david) then
        allocate(zah_wk(kg1,nel,kimg,ndim_spinor))
        zah_wk(:,:,:,:) = 0.d0
      end if

      allocate(fsr_wk(nel,nlmta,ndim_spinor))
      if(k_symmetry(ik) /= GAMMA) then
        allocate(fsi_wk(nel,nlmta,ndim_spinor))
        fsi_wk(:,:,:)=0.d0
      end if

      zaj_wk(:,:,:,:) = 0.d0
      fsr_wk(:,:,:)=0.d0

      if (kimg==1) then
         do ib1=1,nel
            do ibb2=1,nsize_max_sb_now
               if(ibover(ibb2,iblock)<0) cycle
               ib2 = ibover(ibb2,iblock)
               iter2=(ibb2-1)/nel+1
               ii2=ibb2-nel*(iter2-1)
               ii2=nsta+ii2-1
               hr2=vec(ib2,ib1)

               Do is=1, ndim_spinor
                  do ii=1,iba(ik)
                     zaj_wk(ii,ib1,kimg,is) = zaj_wk(ii,ib1,kimg,is) &
                          &                 + zat_l_noncl(ii,ii2,kimg,iter2,is)*hr2
                  end do
               End do

               Do is=1, ndim_spinor
                  do ii=1,nlmta
                     fsr_wk(ib1,ii,is) = fsr_wk(ib1,ii,is) &
                          &            + fsr_noncl(ii2,ii,iter2,is) *hr2
                     fsi_wk(ib1,ii,is) = fsi_wk(ib1,ii,is) &
                          &            + fsi_noncl(ii2,ii,iter2,is)*hr2
                  end do
               End do
               if (itot /= max_iter_david) then
                  Do is=1, ndim_spinor
                     do ii=1,iba(ik)
                        zah_wk(ii,ib1,kimg,is) = zah_wk(ii,ib1,kimg,is)  &
                             &                 + zah_l_noncl(ii,ii2,kimg,iter2,is)*hr2
                     end do
                  End do
               end if
            end do
         end do

      else
         if(k_symmetry(ik) == GAMMA) then
            do ib1=1,nel
               do ibb2=1,nsize_max_sb_now
                  if(ibover(ibb2,iblock)<0) cycle
                  ib2 = ibover(ibb2,iblock)
                  iter2=(ibb2-1)/nel+1
                  ii2=ibb2-nel*(iter2-1)
                  ii2=nsta+ii2-1
                  hr2=vec(ib2,ib1)

                  Do is=1, ndim_spinor
                     do ii=1,iba(ik)
                        dr1 = zat_l_noncl(ii,ii2,1   ,iter2,is)
                        di1 = zat_l_noncl(ii,ii2,kimg,iter2,is)
                        zaj_wk(ii,ib1,1,   is) = zaj_wk(ii,ib1,1,   is) + dr1*hr2
                        zaj_wk(ii,ib1,kimg,is) = zaj_wk(ii,ib1,kimg,is) + di1*hr2
                     end do
                  End do
                  Do is=1, ndim_spinor
                     do ii=1,nlmta
                        fsr_wk(ib1,ii,is) = fsr_wk(ib1,ii,is) &
                             &            + fsr_noncl(ii2,ii,iter2,is)*hr2
                     end do
                  End Do
                  if(itot /= max_iter_david) then
                     Do is=1, ndim_spinor
                        do ii=1,iba(ik)
                           dr1 = zah_l_noncl(ii,ii2,1   ,iter2,is)
                           di1 = zah_l_noncl(ii,ii2,kimg,iter2,is)
                           zah_wk(ii,ib1,1,   is) = zah_wk(ii,ib1,1,   is) +dr1*hr2
                           zah_wk(ii,ib1,kimg,is) = zah_wk(ii,ib1,kimg,is) +di1*hr2
                        end do
                     End do
                  end if
               end do
            end do
         else
            do ib1=1,nel
               do ibb2=1,nsize_max_sb_now
                  if(ibover(ibb2,iblock)<0) cycle
                  ib2 = ibover(ibb2,iblock)
                  iter2=(ibb2-1)/nel+1
                  ii2=ibb2-nel*(iter2-1)
                  ii2=nsta+ii2-1
                  hr2=vec(2*ib2-1,ib1)
                  hi2=vec(2*ib2  ,ib1)

                  Do is=1, ndim_spinor
                     do ii=1,iba(ik)
                        dr1 = zat_l_noncl(ii,ii2,1   ,iter2,is)
                        di1 = zat_l_noncl(ii,ii2,kimg,iter2,is)
                        zaj_wk(ii,ib1,1   ,is) = zaj_wk(ii,ib1,1,   is) +dr1*hr2 -di1*hi2
                        zaj_wk(ii,ib1,kimg,is) = zaj_wk(ii,ib1,kimg,is) +dr1*hi2 +di1*hr2
                     end do
                  End Do
                  Do is=1, ndim_spinor
                     do ii=1,nlmta
                        dr1 = fsr_noncl(ii2,ii,iter2,is)
                        di1 = fsi_noncl(ii2,ii,iter2,is)
                        fsr_wk(ib1,ii,is) = fsr_wk(ib1,ii,is) + dr1*hr2 - di1*hi2
                        fsi_wk(ib1,ii,is) = fsi_wk(ib1,ii,is) + dr1*hi2 + di1*hr2
                     end do
                  End do
                  if (itot /= max_iter_david) then
                     Do is=1, ndim_spinor
                        do ii=1,iba(ik)
                           dr1 = zah_l_noncl(ii,ii2,1   ,iter2,is)
                           di1 = zah_l_noncl(ii,ii2,kimg,iter2,is)
                           zah_wk(ii,ib1,1,   is) = zah_wk(ii,ib1,1,   is) &
                                &                  +dr1*hr2 -di1*hi2
                           zah_wk(ii,ib1,kimg,is) = zah_wk(ii,ib1,kimg,is) &
                                &                  +dr1*hi2 +di1*hr2
                        end do
                     End do
                  end if
               end do
            end do
         end if
      end if
!print *,itot,  itot /= max_iter_david    

      Do is=1, ndim_spinor
         k1 = ik + is -1
         zaj_l(:,nsta:nend,k1,:) = zaj_wk(:,:,:,is)
#ifdef SAVE_FFT_TIMES
         if(sw_save_fft == ON) status_saved_phifftr(nsta:nend,k1) = OLD
#endif
      End do

      if(itot /= max_iter_david) then
         Do is=1, ndim_spinor
            zah_l_noncl(:,nsta:nend,:,1,is) = zah_wk(:,:,:,is)
         End do
      endif
      Do is=1, ndim_spinor
         k1 = ik + is -1
         fsr_l(nsta:nend,:,k1) = fsr_wk(:,:,is)
         if (k_symmetry(ik) /= GAMMA) then
            fsi_l(nsta:nend,:,k1) = fsi_wk(:,:,is)
         endif
      End do
      
      deallocate(zaj_wk,fsr_wk)
      if(itot /= max_iter_david) deallocate(zah_wk)
      if(k_symmetry(ik) /= GAMMA) deallocate(fsi_wk)

    end subroutine subspace_rotation_noncl

  end subroutine evolve_WFs_in_subspace_noncl
! ============================================================== 11.0  
  
  subroutine m_ESmddavid_Subspace_Rotation(nfout)
    integer, intent(in) :: nfout     
    
    integer             :: ispin, ik, iksnl, switch_of_eko_part
    real(kind=DP), allocatable, dimension(:) ::  afft, bfft
    real(kind=DP), allocatable, dimension(:) :: ekin
    integer :: ipri0
    integer :: ng
    real(kind=DP), allocatable, dimension(:,:,:) :: vexx
    real(kind=DP) :: exx

    allocate(ekin(kg1))
    call m_ES_alloc_scss_etc()

    allocate(afft(nfft)); allocate(bfft(nfft))  
    if ( use_metagga .and. vtau_exists ) allocate( cfft(nfft) )

    call allocate_fsri
    
    do ispin = 1, nspin, (af+1)
       call m_ES_Vlocal_in_Rspace(ispin,afft)      ! (ptfft1) vlhxc_l->afft
       if ( use_metagga .and. vtau_exists ) then
          call m_ES_Vlocal_in_Rspace( ispin, cfft, vtau_l )    ! r space
       endif

       do ik = ispin, kv3-nspin+ispin, nspin
          if(map_k(ik) /= myrank_k) cycle          ! MPI
          iksnl = (ik-1)/nspin + 1
          
          call allocate_t_matrix_sr(ik) ! -> np_g1k_x
          call m_pwBS_kinetic_energies(ik,vkxyz,ekin) ! (diakin) ->ekin
          call m_ES_Vnonlocal_W(ik,iksnl,ispin,switch_of_eko_part=OFF) ! -> vnlph_l

          if ( use_metagga .and. vtau_exists ) &
               &           call m_ES_contrib_kindens_to_vnlph( ispin, ik, cfft )

          if(sw_hybrid_functional==ON) call m_ES_Vexx_W(ik)
          call allreduce_fs_sr(ik) ! -> fsr,fsi
          call evolve_WFs_in_subspace_sr&     !-(m_ES_WF_by_ModifiedDavidson)
                                      &(ik,ispin,ekin,afft,bfft) !-> zaj_l
          if(ik==1.and.ipridavidson>= 2) &
            & call m_ES_wd_zaj_small_portion(nfout,ik," -- after davidson subspace rotation --",21)
          call m_ES_betar_dot_WFs_4_each_k(nfout,ik)   ! -> fsr_l,fsi_l
          if(ipridavidson>=2) then
             write(nfout,'("Davidson Subspace Rotation: ik=",i5," subspace=",i5)') ik, nsize_sb_now
          end if
          call deallocate_t_matrix_sr
          
       enddo      ! k-point loop
    enddo      ! spin loop

    if ( allocated(cfft) ) deallocate( cfft )
    call deallocate_fsri

!!  ( in case of af=1 )
    if(af /= 0) then
       call cp_eigen_values_for_af       !-(contained here)
       call expand_neordr_and_nrvf_ordr  !-(contained here)
    end if

    call get_ipri0(ipridavidson,ipri0)
    if(ipri0 >= 2) call m_ES_wd_eko(nfout,mode=SCF)

    deallocate(bfft);   deallocate(afft)
    call m_ES_dealloc_scss_etc()
    deallocate(ekin)
    
  contains
  
    subroutine get_ipri0(ipri_in, ipri_out)
      integer, intent(in)  :: ipri_in
      integer, intent(out) :: ipri_out
      if(npes > 1) then
         if(mype == 0) ipri_out = ipri_in
         call mpi_bcast(ipri_out,1,mpi_integer,0,mpi_comm_group,ierr)
      else
         ipri_out = ipri_in
      end if
    end subroutine get_ipri0

    subroutine cp_eigen_values_for_af
      integer :: ik,ib
      do ik = 1, kv3, af+1
         if(map_k(ik) /= myrank_k) cycle    ! MPI
         do ib = 1, np_e                    ! MPI
            eko_l(ib,ik+af) = eko_l(ib,ik)
         enddo
      enddo
    end subroutine cp_eigen_values_for_af

    subroutine expand_neordr_and_nrvf_ordr
      integer :: ik
      do ik = 1, kv3, af+1
         if(map_k(ik) /= myrank_k) cycle     ! MPI
         neordr(1:neg,ik+af) = neordr(1:neg,ik)
         nrvf_ordr(1:neg,ik+af) = nrvf_ordr(1:neg,ik)
      end do
    end subroutine expand_neordr_and_nrvf_ordr
  
  end subroutine m_ESmddavid_Subspace_Rotation
  
  subroutine do_transpose(ik,itot)
     integer, intent(in) :: ik
     integer, intent(in) :: itot
     integer :: i
     integer :: ntot
     real(kind=DP),allocatable,dimension(:,:,:) :: tmp
#ifdef _ODD_BOUNDARY_
     if(mod(np_g1k(ik),2) == 0) then
       np_g1k_x = np_g1k(ik) + 1
     else
        np_g1k_x = np_g1k(ik)
     end if
#else
     np_g1k_x = np_g1k(ik)
#endif
!     allocate(tmp(np_g1k_x,neg,kimg));tmp=0.d0

     ntot = itot+1
     if(sw_MRCV_only==ON) ntot = 2

     zat_l_t=0.d0;zah_l_t=0.d0
     do i=1,ntot
        zaj_l(1:kg1,1:np_e,ik,1:kimg) = zat_l(1:kg1,1:np_e,1:kimg,i)
        call m_ES_W_transpose_r(.false.,ista_k,iend_k,ik,zaj_l,zat_l_t(:,:,:,i))
!        call m_ES_W_transpose_r(.false.,ista_k,iend_k,ik,zaj_l,tmp)
!        zat_l_t(:,:,:,i) = tmp(:,:,:)

        zaj_l(1:kg1,1:np_e,ik,1:kimg) = zah_l(1:kg1,1:np_e,1:kimg,i)
        call m_ES_W_transpose_r(.false.,ista_k,iend_k,ik,zaj_l,zah_l_t(:,:,:,i))
!        call m_ES_W_transpose_r(.false.,ista_k,iend_k,ik,zaj_l,tmp)
!        zah_l_t(:,:,:,i) = tmp(:,:,:)
     enddo
!     zaj_l(:,:,ik,:)=wfsd_l(:,:,ik,:)
#ifdef SAVE_FFT_TIMES
     if(sw_save_fft == ON) status_saved_phifftr(:,ik) = OLD
#endif
!     deallocate(tmp)
  end subroutine do_transpose

  subroutine do_allreduce(ik)
     integer, intent(in) :: ik
     integer :: i,ierr
     integer :: niter
     niter=max_iter_david+1
     if(sw_MRCV_only==ON) niter = 2

     allocate(fsr_mpi(neg,nlmta,niter));fsr_mpi=0.0d0
     if(k_symmetry(ik)/=GAMMA) then
        allocate(fsi_mpi(neg,nlmta,niter))
        fsi_mpi=0.d0
     endif
     feigconv_t=.false.;occup=0;eko_d=0.d0;fsr_t0=0.d0
     if(k_symmetry(ik)/=GAMMA) fsi_t0=0.d0
     do i=ista_e, iend_e, istep_e
        feigconv_t(i) = feigconv(map_z(i))
        eko_d(i) = eko_l(map_z(i),ik)
        if(occup_l(map_z(i),ik)>0.d0) occup(i)=1
        fsr_t0(i,1:nlmta,1:niter) = fsr(map_z(i),1:nlmta,1:niter)
        if(k_symmetry(ik)/=GAMMA) fsi_t0(i,1:nlmta,1:niter) = fsi(map_z(i),1:nlmta,1:niter)
     enddo
     call mpi_allreduce(MPI_IN_PLACE,feigconv_t,neg,mpi_logical,mpi_lor,mpi_k_world(myrank_k),ierr)
     call mpi_allreduce(MPI_IN_PLACE,eko_d,neg,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr)
     call mpi_allreduce(MPI_IN_PLACE,occup,neg,mpi_integer,mpi_sum,mpi_k_world(myrank_k),ierr)
     call mpi_allreduce(fsr_t0,fsr_mpi,neg*nlmta*niter,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr)
     if(k_symmetry(ik)/=GAMMA) &
     & call mpi_allreduce(fsi_t0,fsi_mpi,neg*nlmta*niter,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr)
     fsr_t0 = fsr_mpi
     if(k_symmetry(ik)/=GAMMA) fsi_t0 = fsi_mpi
     deallocate(fsr_mpi)
     if(k_symmetry(ik)/=GAMMA) deallocate(fsi_mpi)
  end subroutine do_allreduce

! ================================ added by K. Tagami ================ 11.0
  subroutine m_ESmddavid_Subspace_Rot_noncl(nfout)
    integer, intent(in) :: nfout     
    
    integer             :: ik, iksnl, switch_of_eko_part
    real(kind=DP), allocatable ::  afft_kt(:,:)
    real(kind=DP), allocatable ::  bfft_kt(:,:)
    real(kind=DP), allocatable :: vnlph_noncl(:,:,:,:)
    real(kind=DP), allocatable, dimension(:) :: ekin
    integer :: ipri0

    integer :: precon, is1, is2, istmp, k2, ng
    real(kind=DP), allocatable, dimension(:,:,:) :: vexx
    real(kind=DP) :: exx
    precon = ON

    allocate(ekin(kg1))
    call m_ES_alloc_scss_etc()
    allocate(afft_kt(nfft,ndim_chgpot)); afft_kt = 0.0d0
    allocate(bfft_kt(nfft,ndim_spinor)); bfft_kt = 0.0d0
    allocate(vnlph_noncl(kg1,np_e,kimg,ndim_spinor)); vnlph_noncl = 0.0d0

    call allocate_fsri_noncl
    
    call m_ES_Vlocal_in_Rspace_noncl( afft_kt )    ! (ptfft1) vlhxc_l->afft

    Do ik=1, kv3, ndim_spinor
       if ( map_k(ik) /= myrank_k )  cycle          ! MPI
       iksnl = (ik-1)/ndim_spinor + 1
       call allocate_t_matrix_sr_noncl(ik)         ! -> np_g1k_x
       call m_pwBS_kinetic_energies( ik, vkxyz, ekin ) ! (diakin) ->ekin

       vnlph_noncl = 0.0d0
       Do is1=1, ndim_spinor

          Do is2=1, ndim_spinor
             istmp = ( is1-1 )*ndim_spinor +is2
             k2 = ik +is2 -1

             if ( precon==ON ) then
                call m_ES_Vnonlocal_W( k2, iksnl, istmp, switch_of_eko_part=OFF )
                if(sw_hybrid_functional==ON) call m_ES_Vexx_W(k2)
                ! -> vnlph_l
             else
                call m_ES_Vnonlocal_W( k2, iksnl, istmp, switch_of_eko_part=ON )
                if(sw_hybrid_functional==ON) call m_ES_Vexx_W(k2)
                ! -> vnlph_l
             endif
             vnlph_noncl(:,:,:,is1) = vnlph_noncl(:,:,:,is1) &
                  &                     + vnlph_l(:,:,:)
          End do
       End do
       
       call allreduce_fs_sr_noncl(ik) ! -> fsr,fsi
       call evolve_WFs_in_subspace_sr_noncl( ik, ekin, afft_kt, bfft_kt ) 
                                             !-> zaj_l
                                             !-(m_ES_WF_by_ModifiedDavidson)
       
       if (ik==1.and.ipridavidson>= 2) then
          Do is1=1, ndim_spinor
             call m_ES_wd_zaj_small_portion( nfout, ik+is1-1, &
                  &                         " -- after davidson subspace rotation --",21 )
          End do
       endif
          
       Do is1=1, ndim_spinor
          call m_ES_betar_dot_WFs_4_each_k( nfout,ik+is1-1 )   ! -> fsr_l,fsi_l
       End do

       if(ipridavidson>=2) then
          write(nfout,'("Davidson Subspace Rotation: ik=",i5," subspace=",i5)') &
               &        ik, nsize_sb_now
       end if
       call deallocate_t_matrix_sr
          
    enddo      ! k-point loop
    
    call deallocate_fsri_noncl

    call m_ES_sort_eigen_vals_noncl()

!    call get_ipri0(ipridavidson,ipri0)
    ipri0 = ipridavidson

    if(ipri0 >= 2) call m_ES_wd_eko(nfout,mode=SCF)

    deallocate(bfft_kt);   deallocate(afft_kt)
    call m_ES_dealloc_scss_etc()
    deallocate(ekin)
  contains
  
    subroutine get_ipri0(ipri_in, ipri_out)
      integer, intent(in)  :: ipri_in
      integer, intent(out) :: ipri_out
      if(npes > 1) then
         if(mype == 0) ipri_out = ipri_in
         call mpi_bcast(ipri_out,1,mpi_integer,0,mpi_comm_group,ierr)
      else
         ipri_out = ipri_in
      end if
    end subroutine get_ipri0

  end subroutine m_ESmddavid_Subspace_Rot_noncl
! ================================================================= 11.0

  subroutine allocate_fsri
    nsize_sb_now = neg
    nsize_mt_now =  nsize_sb_now*(nsize_sb_now+1)/2
    allocate(fsr(neg,nlmta,1))
    if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
       allocate(fsi(neg,nlmta,1))
    end if
    allocate(zaj_l_backup(kg1,np_e,kimg)) ! MPI
  end subroutine allocate_fsri

! ===================== added by K. Tagami ==================== 11.0
  subroutine allocate_fsri_noncl
    nsize_sb_now = neg
    nsize_mt_now =  nsize_sb_now*(nsize_sb_now+1)/2
    allocate(fsr_noncl(neg,nlmta,1,ndim_spinor))
    if(.not.(kv3/ndim_spinor == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
       allocate(fsi_noncl(neg,nlmta,1,ndim_spinor))
    end if
    allocate(zaj_l_backup_noncl(kg1,np_e,kimg,ndim_spinor)) ! MPI
  end subroutine allocate_fsri_noncl
! ============================================================== 11.0

  subroutine deallocate_fsri
    deallocate(fsr)
    if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
       deallocate(fsi)
    end if
    deallocate(zaj_l_backup)
  end subroutine deallocate_fsri
    
! =============================== added by K. Tagami ============= 11.0
  subroutine deallocate_fsri_noncl
    deallocate(fsr_noncl)
    if(.not.(kv3/ndim_spinor == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
       deallocate(fsi_noncl)
    end if
    deallocate(zaj_l_backup_noncl)
  end subroutine deallocate_fsri_noncl
! ================================================================= 11.0    

  subroutine allocate_t_matrix_sr(ik)
    integer, intent(in) :: ik
    integer :: kimg_t
    if(k_symmetry(ik) == GAMMA) then
       kimg_t = 1
    else
       kimg_t = kimg
    end if    
#ifdef _ODD_BOUNDARY_
    if(mod(np_g1k(ik),2) == 0) then
       np_g1k_x = np_g1k(ik) + 1
    else
       np_g1k_x = np_g1k(ik)
    end if
#else
    np_g1k_x = np_g1k(ik)
#endif
    allocate(zat_l(np_g1k_x,neg,kimg,1)) ! MPI
    allocate(zah_l(np_g1k_x,neg,kimg,1)) ! MPI
    allocate(w1hw2(nsize_mt_now*kimg_t))
    allocate(w1sw2(nsize_mt_now*kimg_t))
    if(npes>1) then
       allocate(w1hw2_mpi(nsize_mt_now*kimg_t))
       allocate(w1sw2_mpi(nsize_mt_now*kimg_t))
    end if
    zaj_l_backup(:,:,:) = zaj_l(:,:,ik,:)
  end subroutine allocate_t_matrix_sr

! =============================== added by K. Tagami ============= 11.0
  subroutine allocate_t_matrix_sr_noncl(ik)
    integer, intent(in) :: ik
    integer :: kimg_t, is

    if(k_symmetry(ik) == GAMMA) then
       kimg_t = 1
    else
       kimg_t = kimg
    end if    
#ifdef _ODD_BOUNDARY_
    if(mod(np_g1k(ik),2) == 0) then
       np_g1k_x = np_g1k(ik) + 1
    else
       np_g1k_x = np_g1k(ik)
    end if
#else
    np_g1k_x = np_g1k(ik)
#endif

    allocate(zat_l_noncl(np_g1k_x,neg,kimg,1,ndim_spinor)) ! MPI
    allocate(zah_l_noncl(np_g1k_x,neg,kimg,1,ndim_spinor)) ! MPI
    allocate(w1hw2(nsize_mt_now*kimg_t))
    allocate(w1sw2(nsize_mt_now*kimg_t))

    if(npes>1) then
! ------------- -------------------- KTDebug : 2012/10/28 --
!!       allocate(w1hw2_mpi(nsize_mt_now*kimg_t))
!!       allocate(w1sw2_mpi(nsize_mt_now*kimg_t))
!
       if ( allocated(w1hw2_mpi) ) deallocate(w1hw2_mpi)
       if ( allocated(w1sw2_mpi) ) deallocate(w1sw2_mpi)
       allocate(w1hw2_mpi(nsize_mt_now*kimg_t))
       allocate(w1sw2_mpi(nsize_mt_now*kimg_t))
! ------------- -------------------- KTDebug : 2012/10/28 --
    end if

    Do is=1, ndim_spinor
       zaj_l_backup_noncl(:,:,:,is) = zaj_l(:,:,ik+is-1,:)
    End Do
  end subroutine allocate_t_matrix_sr_noncl
! ============================================================ 11.0

  subroutine deallocate_t_matrix_sr
! ============================ modified by K. Tagami ========== 11.0
!    deallocate(zat_l) ! MPI
!    deallocate(zah_l) ! MPI

    if ( noncol ) then
       deallocate(zat_l_noncl) ! MPI
       deallocate(zah_l_noncl) ! MPI
    else
       deallocate(zat_l) ! MPI
       deallocate(zah_l) ! MPI
    endif
! ============================================================== 11.0
    deallocate(w1hw2)
    deallocate(w1sw2)
    if(npes>1) then
       deallocate(w1hw2_mpi)
       deallocate(w1sw2_mpi)
    end if
  end subroutine deallocate_t_matrix_sr
  
  subroutine allreduce_fs_sr(ik)
    integer, intent(in) :: ik
    integer :: ib,ib1,kimg_t
    real(kind=DP), allocatable, dimension(:,:) :: fs_mpi

    allocate(fs_mpi(neg,nlmta))
    
    fs_mpi=0.d0
    do ib1 = ista_e, iend_e, istep_e     ! MPI
       ib=map_z(ib1)
       fs_mpi(ib1,1:nlmta) = fsr_l(ib,1:nlmta,ik)
    end do
    call mpi_allreduce(MPI_IN_PLACE,fs_mpi,neg*nlmta &
      & ,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr)       ! MPI
    fsr(1:neg,1:nlmta,1) = fs_mpi(1:neg,1:nlmta)
    if(.not. k_symmetry(ik) == GAMMA) then
       fs_mpi=0.d0
       do ib1 = ista_e, iend_e, istep_e     ! MPI
          ib=map_z(ib1)
          fs_mpi(ib1,1:nlmta) = fsi_l(ib,1:nlmta,ik)
       end do
       call mpi_allreduce(MPI_IN_PLACE,fs_mpi,neg*nlmta &
         & ,mpi_double_precision,mpi_sum ,mpi_k_world(myrank_k),ierr)       ! MPI
       fsi(1:neg,1:nlmta,1) = fs_mpi(1:neg,1:nlmta)
    end if
    deallocate(fs_mpi)
  end subroutine allreduce_fs_sr
! ================================= added by K. Tagami ============= 11.0  
  subroutine allreduce_fs_sr_noncl(ik)
    integer, intent(in) :: ik

    integer :: ib, ib1, kimg_t, is
    real(kind=DP), allocatable, dimension(:,:,:) :: fs_mpi,fs_mpi2

    allocate(fs_mpi(neg,nlmta,ndim_spinor))
    allocate(fs_mpi2(neg,nlmta,ndim_spinor))
    
    fs_mpi=0.d0
    do ib1 = ista_e, iend_e, istep_e     ! MPI
       ib=map_z(ib1)
       Do is=1, ndim_spinor
          fs_mpi(ib1,1:nlmta,is) = fsr_l(ib,1:nlmta,ik+is-1)
       End Do
    end do

    fs_mpi2=0.d0
    call mpi_allreduce( fs_mpi, fs_mpi2, neg*nlmta*ndim_spinor, &
         &              mpi_double_precision, mpi_sum, &
         &              mpi_k_world(myrank_k),ierr )       ! MPI

    fsr_noncl(1:neg,1:nlmta,1,:) = fs_mpi2(1:neg,1:nlmta,:)

    if (.not. k_symmetry(ik) == GAMMA) then
       fs_mpi=0.d0
       do ib1 = ista_e, iend_e, istep_e     ! MPI
          ib=map_z(ib1)
          Do is=1, ndim_spinor
             fs_mpi(ib1,1:nlmta,is) = fsi_l(ib,1:nlmta,ik+is-1)
          End do
       end do

       fs_mpi2=0.d0
       call mpi_allreduce( fs_mpi, fs_mpi2, neg*nlmta*ndim_spinor, &
            &              mpi_double_precision, mpi_sum, &
            &              mpi_k_world(myrank_k),ierr )       ! MPI

       fsi_noncl(1:neg,1:nlmta,1,:) = fs_mpi2(1:neg,1:nlmta,:)
    end if

    deallocate(fs_mpi);    deallocate(fs_mpi2)

  end subroutine allreduce_fs_sr_noncl
! ============================================================= 11.0
  
  subroutine evolve_WFs_in_subspace_sr(ik,ispin,ekin,afft,bfft)
    integer, intent(in) :: ik,ispin
    real(kind=DP), intent(in)  :: ekin(kg1)
    real(kind=DP), intent(in)  :: afft(nfft)
    real(kind=DP), intent(out) :: bfft(nfft)
! (allocatable variables)
    real(kind=DP), allocatable,dimension(:) ::     eig
    real(kind=DP), allocatable,dimension(:,:) ::   vec

    integer       :: ib1,ib2,ib1to,ib2to,i1,ii,ri,ib
!    integer       :: ibb1,ibb2
!    integer       :: ii1,ii2,iter,iter1,iter2
    real(kind=DP) :: denom, eko1, eko2, ekod
    real(kind=DP) :: hr2,hi2,dr1,dr2,di1,di2,dd
    integer :: ip0,ip0b,ip1,ip1b,ib1n,ib2n,ndata,nshift,kimg_t,ig1
    integer :: noffset
!    integer :: nsize_max_sb_now
    integer :: ierr_diag
    integer :: id_sname = -1, ipri0
    call tstatc0_begin('evolve_WFs_in_subspace_sr(davidson) ', id_sname,1)

    call get_ipri0(ipridavidson,ipri0)

    denom = 1.d0/product(fft_box_size_WF(1:3,1))
    if(k_symmetry(ik) == GAMMA) then
       kimg_t = 1
    else
       kimg_t = kimg
    end if
    
!    nsize_sb_now = nsize_subspace(1)
!    nsize_mt_now = nsize_matrix(1)

    allocate(eig(nsize_sb_now)); eig=0.d0
    allocate(vec(nsize_sb_now*kimg_t,nsize_sb_now))
    allocate(eko_d(neg));     eko_d = 0.d0
    allocate(occup(neg)); occup=0

    if(ipridavidson >=2) then
       write(nfout,*) 'MdDavidson Subspace Rotation:ik,nsize_sb_now=', ik,nsize_sb_now
    end if


    do ib1 = 1, neg
       if(map_e(ib1) == myrank_e) eko_d(ib1) = eko_l(map_z(ib1),ik)  ! MPI
    end do
    call mpi_allreduce(MPI_IN_PLACE,eko_d,neg,mpi_double_precision,mpi_sum &
         & ,mpi_k_world(myrank_k),ierr)       ! MPI
    eko1 = sum(eko_d(1:neg))

    do ib1=1,neg
       if(map_e(ib1) == myrank_e) then !MPI
          if( occup_l(map_z(ib1),ik) > 0.d0 ) occup(ib1) = 1  ! MPI
       end if
    end do
    call mpi_allreduce(MPI_IN_PLACE,occup,neg,mpi_integer,mpi_sum &
         & ,mpi_k_world(myrank_k),ierr)       ! MPI

! (zaj_l <- (T+Vloc)|phi> )
!!    zaj_l(:,:,ik,:) = zajold_l(:,:,:,idavid)
!( tenchi ) (zat_l <- zaj_l)
    call m_ES_W_transpose_r(.false.,ista_k,iend_k,ik,zaj_l,zat_l(1,1,1,1))
    do ib1 = ista_e, iend_e, istep_e     ! MPI
       call m_ES_WF_in_Rspace(ik,ib1,bfft)!(swffft)
       call m_FFT_Vlocal_W(afft,bfft)    ! (afft, bfft)-> (bfft)
       call m_FFT_WF(ELECTRON,nfout,bfft,DIRECT,ON)
       ib = map_z(ib1)                 ! MPI
       if(kimg == 1) then
          do ii=1,iba(ik)
             i1  = igf(nbase(ii,ik))
             dr1 = zaj_l(ii,ib,ik,1)
             dr2 = bfft(i1)*denom
             zaj_l(ii,ib,ik,1)= ekin(ii)*dr1+dr2
          enddo
       else
          do ii=1,iba(ik)
             i1  = igf(nbase(ii,ik))
             dr1  = zaj_l(ii,ib,ik,1)
             di1  = zaj_l(ii,ib,ik,kimg)
             zaj_l(ii,ib,ik,1)= ekin(ii)*dr1+bfft(2*i1-1)*denom
             zaj_l(ii,ib,ik,kimg)= ekin(ii)*di1+bfft(2*i1)*denom
          enddo
       endif
#ifdef SAVE_FFT_TIMES
       if(sw_save_fft == ON) status_saved_phifftr(ib,ik) = OLD
#endif
    enddo
!( tenchi ) (zah_l <- zaj_l)
    call m_ES_W_transpose_r(.false.,ista_k,iend_k,ik,zaj_l,zah_l(1,1,1,1))

! (make matrix elements )
! parallel loop
    ! <n|T+Vloc|m> G-wise parallel
    do ib2 = 1,nsize_sb_now
       ip0b = ib2*(ib2-1)/2
       do ib1 = 1,ib2
          ip0 = ip0b + ib1
          if(kimg == 1) then
             w1hw2(ip0) = 0.d0
             w1sw2(ip0) = 0.d0
             do ii = 1, np_g1k(ik)            ! MPI
                hr2 = zah_l(ii,ib2,1,1)
                dr2 = zat_l(ii,ib2,1,1)
                dr1 = zat_l(ii,ib1,1,1)
                w1hw2(ip0) = w1hw2(ip0) + dr1*hr2
                w1sw2(ip0) = w1sw2(ip0) + dr1*dr2
             end do
          else
             if(k_symmetry(ik) == GAMMA) then
                w1hw2(ip0) = 0.d0
                w1sw2(ip0) = 0.d0
!!$                ig1 = 1;  if(mype == 0) ig1 = 2
                ig1 = 1;  if(myrank_e == 0) ig1 = 2
                do ii = ig1, np_g1k(ik)            ! MPI
                   hr2 = zah_l(ii,ib2,1,1) ! MPI
                   hi2 = zah_l(ii,ib2,2,1) ! MPI
                   dr2 = zat_l(ii,ib2,1,1) ! MPI
                   di2 = zat_l(ii,ib2,2,1) ! MPI
                   dr1 = zat_l(ii,ib1,1,1) ! MPI
                   di1 = zat_l(ii,ib1,2,1) ! MPI
                   w1hw2(ip0) =w1hw2(ip0)+(dr1*hr2+di1*hi2)*2.d0
                   w1sw2(ip0) =w1sw2(ip0)+(dr1*dr2+di1*di2)*2.d0
                end do
!!$                if(mype == 0) then
                if(myrank_e == 0) then
                   hr2 = zah_l(1,ib2,1,1) ! MPI
                   hi2 = zah_l(1,ib2,2,1) ! MPI
                   dr2 = zat_l(1,ib2,1,1) ! MPI
                   di2 = zat_l(1,ib2,2,1) ! MPI
                   dr1 = zat_l(1,ib1,1,1) ! MPI
                   di1 = zat_l(1,ib1,2,1) ! MPI
                   w1hw2(ip0) =w1hw2(ip0)+dr1*hr2+di1*hi2
                   w1sw2(ip0) =w1sw2(ip0)+dr1*dr2+di1*di2
                end if
             else
                w1hw2(2*ip0-1:2*ip0) = 0.d0
                w1sw2(2*ip0-1:2*ip0) = 0.d0
                do ii = 1, np_g1k(ik)           ! MPI
                   hr2 = zah_l(ii,ib2,1,1) ! MPI
                   hi2 = zah_l(ii,ib2,2,1) ! MPI
                   dr2 = zat_l(ii,ib2,1,1) ! MPI
                   di2 = zat_l(ii,ib2,2,1) ! MPI
                   dr1 = zat_l(ii,ib1,1,1) ! MPI
                   di1 = zat_l(ii,ib1,2,1) ! MPI
                   w1hw2(2*ip0-1) =w1hw2(2*ip0-1)+dr1*hr2+di1*hi2
                   w1hw2(2*ip0  ) =w1hw2(2*ip0  )+dr1*hi2-di1*hr2
                   w1sw2(2*ip0-1) =w1sw2(2*ip0-1)+dr1*dr2+di1*di2
                   w1sw2(2*ip0  ) =w1sw2(2*ip0  )+dr1*di2-di1*dr2
                end do
             end if
          end if
       end do
    end do
    if(ipridavidson >= 3) call wd_w1hw2(" -- w1hw2 without nl part--")
    ! <n|Vnl|m> G-wise parallel
    call add_nonlocal_part ! w1hw2 = w1hw2 + w1Vnlw2
                           ! w1sw2 = w1sw2 + w1qw2
    if(ipridavidson >= 3) call wd_w1hw2(" -- w1hw2 with nl part--")

!! (spread sum of w1hw2 and w1sw2)
    if(npes > 1) then
       w1hw2_mpi = 0.d0
       w1sw2_mpi = 0.d0
       nshift = 0
       ndata = nsize_mt_now*kimg_t
       call mpi_allreduce(w1hw2(nshift+1),w1hw2_mpi,ndata,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr) ! MPI
       w1hw2(nshift+1:nshift+ndata) = w1hw2_mpi(1:ndata) ! MPI
       call mpi_allreduce(w1sw2(nshift+1),w1sw2_mpi,ndata,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr) ! MPI
       w1sw2(nshift+1:nshift+ndata) = w1sw2_mpi(1:ndata) ! MPI
    end if

    if(ipridavidson >= 2) call wd_w1hw2(" -- just after making w1hw2 --")
    if(ipridavidson >= 2) then
       write(nfout,*) 'neordr for ik = ',ik
       write(nfout,9002) (neordr(ib1,ik),ib1=1,neg)
       write(nfout,*) 'nrvf_ordr for ik = ',ik
       write(nfout,9002) (nrvf_ordr(ib1,ik),ib1=1,neg)
       write(nfout,*) 'eig'
       write(nfout,'(5x,10f8.4)') (eko_l(ib1,ik),ib1=1,np_e)
    endif
9002 format(5x,10i8)

!! (Diagonalization )  !!

    if(kimg_t == 1) then
       call dspgvx_driver(eig,vec,w1hw2,w1sw2,ierr_diag)
    else
       call zhpgvx_driver(eig,vec,w1hw2,w1sw2,ierr_diag)
    endif

    if(ierr_diag /= 0) then
       zaj_l(:,:,ik,:) = zaj_l_backup(:,:,:)
#ifdef SAVE_FFT_TIMES
       if(sw_save_fft == ON) status_saved_phifftr(:,ik) = OLD
#endif
       do ib1 = 1, neg
          if(map_e(ib1) == myrank_e) then         ! MPI
             eko_l(map_z(ib1),ik)=eko_d(ib1)
          end if
       end do
       if(ipridavidson >= 2) then
          write(nfout,*) '** Mod Davidson SR error **'
         ! stop
       end if
    else

!!$       if(ipridavidson >= 2) then
       if(ipri0 >= 2) then
          write(nfout,*) 'eko_d for ik = ',ik
          write(nfout,9001) (eko_d(ib),ib=1,neg)
          write(nfout,*) 'eig for ik = ',ik
          write(nfout,9001) (eig(ib),ib=1,neg)
          call wd_w1hw2(" -- after diagonalization --")
!sum eko
          dr1=0.d0;dr2=0.d0
          do ib1=1,neg
             ib1to = neordr(ib1,ik)
             if(map_e(ib1to) == myrank_e) dr1=dr1+eko_l(map_z(ib1to),ik) ! MPI
             dr2=dr2+eig(ib1)
          enddo
          call mpi_allreduce(MPI_IN_PLACE,dr1,1,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr) ! MPI
          write(nfout,'(" sum of eko_l, eig, abs diff =",3e25.10)') dr1,dr2,abs(dr2-dr1)
       endif
!! (subspace rotation) !!
       call subspace_rotation ! vec,zat_l -> zat_l
!( tenchi ) (zaj_l <- zat_l)
       call m_ES_W_transpose_back_r(.false.,ista_k,iend_k,ik,zaj_l,zat_l(1,1,1,1))
#ifdef SAVE_FFT_TIMES
       if(sw_save_fft == ON) status_saved_phifftr(:,ik) = OLD
#endif
       if(ipridavidson>=2 .and. ik==1) write(nfout,'(" !### zaj_l is new,  bfft is old")')
       zaj_l_backup(:,:,:) = zaj_l(:,:,ik,:)
!! (eko_l)
       do ib1 = 1, neg
          if(map_e(ib1) == myrank_e) then         ! MPI
             eko_l(map_z(ib1),ik)=eig(ib1)
          end if
       end do
       if(ipridavidson >= 2) then
          eko2 = sum(eig(1:neg))
          write(nfout,1201) ik,eko1,ekod,eko2

          write(nfout,*) 'eko_l'
          write(nfout,9001) (eko_l(ib1,ik),ib1=1,neg)
       endif
1201 format(' %% for ik = ',i4,4x,' eko1&ekod&eko2 = ',3f14.7)
9001 format(5x,6f12.5)
!! (neordr & nrvf_ordr)

    end if

    neordr(1:neg,ik) = (/(ib1,ib1=1,neg)/)
    nrvf_ordr(1:neg,ik) = (/(ib1,ib1=1,neg)/)

! (deallocate)  
    deallocate(eko_d)
    deallocate(eig)
    deallocate(vec)
    deallocate(occup)

    call tstatc0_end(id_sname)

  contains
    subroutine get_ipri0(ipri_in, ipri_out)
      integer, intent(in)  :: ipri_in
      integer, intent(out) :: ipri_out
      if(npes > 1) then
         if(mype == 0) ipri_out = ipri_in
         call mpi_bcast(ipri_out,1,mpi_integer,0,mpi_k_world(myrank_k),ierr)
      else
         ipri_out = ipri_in
      end if
    end subroutine get_ipri0

    subroutine wd_w1hw2(somecomment)
      character(len=*), intent(in) :: somecomment
      integer :: ib1, ib2, neg_wd, nsb_wd
      write(nfout,'(a35)') somecomment
      write(nfout,*) 'w1hw2 for ik = ',ik
      neg_wd = 8
      nsb_wd = 8
      if(neg_wd > neg) neg_wd = neg
      if(nsb_wd > nsize_sb_now) nsb_wd = nsize_sb_now
      if(kimg_t==1) then
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1hw2(ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      else
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1hw2(2*ip0-1),ip0=ip0b+1,ip0b+ib2)
         end do
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1hw2(2*ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      end if
      write(nfout,*) 'w1sw2 for ik = ',ik
      if(kimg_t==1) then
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1sw2(ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      else
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1sw2(2*ip0-1),ip0=ip0b+1,ip0b+ib2)
         end do
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1sw2(2*ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      end if
9001  format(5x,9f12.5)
      write(nfout,*) 'eko_l for ik = ',ik
      write(nfout,9001) (eko_d(neordr(ib1,ik)),ib1=1,neg_wd)
    end subroutine wd_w1hw2

    subroutine add_nonlocal_part
      integer :: ip,ib1,ib2
      integer       :: ia, lmt1, lmt2, it, p, s, ib
      real(kind=DP) :: facv,facq,vr,vi,qr,qi
      real(kind=DP) :: tmpr,tmpi
! ========================== added by K. Tagami ========== 11.0
#ifdef forsafe
      integer :: ipaw_tmp
#endif
! ======================================================== 11.0
      do ib2 = 1,nsize_sb_now
         ip0b = ib2*(ib2-1)/2
         do ib1 = 1,ib2
            ip0 = ip0b + ib1
            if(mod(ip0-1,nrank_e)/=myrank_e) cycle
            if(kimg_t==1) then
               vr=0.d0
               qr=0.d0
            else
               vr=0.d0
               vi=0.d0
               qr=0.d0
               qi=0.d0
            end if
            do ia = 1, natm
               it = ityp(ia)
! ========================== added by K. Tagami =================== 11.0
#ifdef forsafe
               ipaw_tmp = ipaw(it)
#endif
! ================================================================= 11.0
               do lmt1 = 1, ilmt(it)
                  p = lmta(lmt1,ia)
!OCL NOPREEX
                  do lmt2 = 1, ilmt(it)
                     s = lmta(lmt2,ia)
! ========================== modified by K. Tagami =================== 11.0
!                     if(ipaw(it)==0)then
#ifdef forsafe
                     if ( ipaw_tmp == 0 ) then
#else
                     if (ipaw(it)==0 ) then
#endif
! ================================================================= 11.0
                        facv   = iwei(ia)*(dion(lmt1,lmt2,it) + vlhxcQ(lmt1,lmt2,ia,ispin))
                     else
                        facv   = iwei(ia)*(dion_paw(lmt1,lmt2,ispin,ia) + vlhxcQ(lmt1,lmt2,ia,ispin))
                     endif
                     facq   = iwei(ia)*q(lmt1,lmt2,it)
                     if(kimg==1) then
                        tmpr = fsr(ib1,p,1)*fsr(ib2,s,1)&
                    &        + fsi(ib1,p,1)*fsi(ib2,s,1)
                        vr = vr + facv*tmpr
                        qr = qr + facq*tmpr
                     else
                        if(k_symmetry(ik) == GAMMA) then
                           tmpr = fsr(ib1,p,1)*fsr(ib2,s,1)
                           vr = vr + facv*tmpr
                           qr = qr + facq*tmpr
                        else
                           tmpr = fsr(ib1,p,1)*fsr(ib2,s,1)&
                    &        + fsi(ib1,p,1)*fsi(ib2,s,1)
                           tmpi = fsr(ib1,p,1)*fsi(ib2,s,1)&
                    &        - fsi(ib1,p,1)*fsr(ib2,s,1)
                           vr = vr + facv*tmpr
                           vi = vi + facv*tmpi
                           qr = qr + facq*tmpr
                           qi = qi + facq*tmpi
                        end if
                     end if
                  end do
               end do
            end do
            if(kimg_t==1) then
               w1hw2(ip0) = w1hw2(ip0) + vr
               w1sw2(ip0) = w1sw2(ip0) + qr
            else
               w1hw2(2*ip0-1) = w1hw2(2*ip0-1) + vr
               w1hw2(2*ip0  ) = w1hw2(2*ip0  ) + vi
               w1sw2(2*ip0-1) = w1sw2(2*ip0-1) + qr
               w1sw2(2*ip0  ) = w1sw2(2*ip0  ) + qi
            end if
         end do
      end do
    end subroutine add_nonlocal_part

    subroutine subspace_rotation
      integer :: ib1,ib2,ibb2
!!$      real(kind=DP), dimension(np_g1k_x,neg,kimg) :: zaj_wk
      real(kind=DP), allocatable, dimension(:,:,:) :: zaj_wk
#ifdef _ODD_BOUNDARY_
     if(mod(np_g1k(ik),2) == 0) then
       np_g1k_x = np_g1k(ik) + 1
     else
        np_g1k_x = np_g1k(ik)
     end if
#else
     np_g1k_x = np_g1k(ik)
#endif
      allocate(zaj_wk(np_g1k_x,neg,kimg))

      zaj_wk(:,:,:) = 0.d0
      if(kimg==1) then
         do ib1=1,neg
            do ib2=1,neg
               do ii=1,np_g1k(ik)
                  zaj_wk(ii,ib1,kimg) = zaj_wk(ii,ib1,kimg) + zat_l(ii,ib2,kimg,1)*vec(ib2,ib1)
               end do
            end do
         end do
      else
         if(k_symmetry(ik) == GAMMA) then
            do ib1=1,neg
               do ib2=1,neg
                  hr2=vec(ib2,ib1)
                  do ii=1,np_g1k(ik)
                     dr1=zat_l(ii,ib2,1   ,1)
                     di1=zat_l(ii,ib2,kimg,1)
                     zaj_wk(ii,ib1,1   ) = zaj_wk(ii,ib1,1   ) + dr1*hr2
                     zaj_wk(ii,ib1,kimg) = zaj_wk(ii,ib1,kimg) + di1*hr2
                  end do
               end do
            end do
         else
            do ib1=1,neg
               do ib2=1,neg
                  hr2=vec(2*ib2-1,ib1)
                  hi2=vec(2*ib2  ,ib1)
                  do ii=1,np_g1k(ik)
                     dr1=zat_l(ii,ib2,1   ,1)
                     di1=zat_l(ii,ib2,kimg,1)
                     zaj_wk(ii,ib1,1   ) = zaj_wk(ii,ib1,1   ) + dr1*hr2 - di1*hi2
                     zaj_wk(ii,ib1,kimg) = zaj_wk(ii,ib1,kimg) + dr1*hi2 + di1*hr2
                  end do
               end do
            end do
         end if
      end if
      zat_l(:,:,:,1) = zaj_wk(:,:,:)
      deallocate(zaj_wk)
    end subroutine subspace_rotation

  end subroutine evolve_WFs_in_subspace_sr

! =========================== added by K. Tagami ================= 11.0
  subroutine evolve_WFs_in_subspace_sr_noncl( ik, ekin, afft_kt, bfft_kt )
    integer, intent(in) :: ik
    real(kind=DP), intent(in)  :: ekin(kg1)
    real(kind=DP), intent(inout)  :: afft_kt(nfft,ndim_chgpot)
    real(kind=DP), intent(out) :: bfft_kt(nfft,ndim_spinor)

! (allocatable variables)
    real(kind=DP), allocatable,dimension(:) ::     eig
    real(kind=DP), allocatable,dimension(:,:) ::   vec

    integer       :: ib1,ib2,ib1to,ib2to,i1,ii,ri,ib
!    integer       :: ibb1,ibb2
!    integer       :: ii1,ii2,iter,iter1,iter2
    real(kind=DP) :: denom, eko1, eko2, ekod
    real(kind=DP) :: hr2,hi2,dr1,dr2,di1,di2,dd
    integer :: ip0,ip0b,ip1,ip1b,ib1n,ib2n,ndata,nshift,kimg_t,ig1
    integer :: noffset
!    integer :: nsize_max_sb_now
    integer :: ierr_diag
    integer :: id_sname = -1, ipri0

    integer :: is, k1

    call tstatc0_begin('evolve_WFs_in_subspace_sr_noncl(davidson) ', id_sname,1)

!    call get_ipri0(ipridavidson,ipri0)
    ipri0 = ipridavidson

    denom = 1.d0/product(fft_box_size_WF(1:3,1))
    if(k_symmetry(ik) == GAMMA) then
       kimg_t = 1
    else
       kimg_t = kimg
    end if
    
!    nsize_sb_now = nsize_subspace(1)
!    nsize_mt_now = nsize_matrix(1)

    allocate(eig(nsize_sb_now)); eig=0.d0
    allocate(vec(nsize_sb_now*kimg_t,nsize_sb_now))
    allocate(eko_d(neg));     eko_d = 0.d0
    allocate(occup(neg)); occup=0

    if(ipridavidson >=2) then
       write(nfout,*) 'MdDavidson Subspace Rotation:ik,nsize_sb_now=', ik,nsize_sb_now
    end if


    do ib1 = 1, neg
       if(map_e(ib1) == myrank_e) eko_d(ib1) = eko_l(map_z(ib1),ik)  ! MPI
    end do
    call mpi_allreduce(MPI_IN_PLACE,eko_d,neg,mpi_double_precision,mpi_sum &
         & ,mpi_k_world(myrank_k),ierr)       ! MPI
    eko1 = sum(eko_d(1:neg))

    do ib1=1,neg
       if(map_e(ib1) == myrank_e) then !MPI
          if( occup_l(map_z(ib1),ik) > 0.d0 ) occup(ib1) = 1  ! MPI
       end if
    end do
    call mpi_allreduce(MPI_IN_PLACE,occup,neg,mpi_integer,mpi_sum &
         & ,mpi_k_world(myrank_k),ierr)       ! MPI

! (zaj_l <- (T+Vloc)|phi> )
!!    zaj_l(:,:,ik,:) = zajold_l(:,:,:,idavid)
!( tenchi ) (zat_l <- zaj_l)

    Do is=1, ndim_spinor
       k1 = ik + is -1
       call m_ES_W_transpose_r(.false., ista_k, iend_k, k1, zaj_l, &
            &                 zat_l_noncl(1,1,1,1,is))
    End do

    do ib1 = ista_e, iend_e, istep_e     ! MPI
       Do is=1, ndim_spinor
          k1 = ik +is -1
         call m_ES_WF_in_Rspace( k1, ib1, bfft_kt(:,is) )!(swffft)
       End do
       call m_FFT_Vlocal_W_noncl( afft_kt, bfft_kt, ndim_chgpot, ndim_spinor )
                                       ! (afft, bfft)-> (bfft)
       Do is=1, ndim_spinor
         call m_FFT_WF( ELECTRON, nfout, bfft_kt(:,is), DIRECT, ON )
       End do

       ib = map_z(ib1)                 ! MPI
       if (kimg == 1) then
          Do is=1, ndim_spinor
             k1 = ik + is -1
             do ii=1,iba(ik)
                i1  = igf(nbase(ii,ik))
                dr1 = zaj_l(ii,ib,k1,1)
                dr2 = bfft_kt(i1,is)*denom
                zaj_l(ii,ib,k1,1) = ekin(ii)*dr1 +dr2
             enddo
#ifdef SAVE_FFT_TIMES
             if(sw_save_fft == ON) status_saved_phifftr(ib,k1) = OLD
#endif
          End do
       else
          Do is=1, ndim_spinor
             k1 = ik + is -1
             do ii=1,iba(ik)
                i1  = igf(nbase(ii,ik))
                dr1  = zaj_l(ii,ib,k1,1)
                di1  = zaj_l(ii,ib,k1,kimg)
                zaj_l(ii,ib,k1,1)   = ekin(ii)*dr1 +bfft_kt(2*i1-1,is)*denom
                zaj_l(ii,ib,k1,kimg)= ekin(ii)*di1 +bfft_kt(2*i1,  is)*denom
             enddo
#ifdef SAVE_FFT_TIMES
             if(sw_save_fft == ON) status_saved_phifftr(ib,k1) = OLD
#endif
          End Do
       endif
    enddo
!( tenchi ) (zah_l <- zaj_l)
    Do is=1, ndim_spinor
       k1 = ik + is -1
       call m_ES_W_transpose_r(.false., ista_k, iend_k, k1, zaj_l, &
            &                 zah_l_noncl(1,1,1,1,is) )
    End do

! (make matrix elements )
! parallel loop
    ! <n|T+Vloc|m> G-wise parallel
    do ib2 = 1,nsize_sb_now
       ip0b = ib2*(ib2-1)/2
       do ib1 = 1,ib2
          ip0 = ip0b + ib1
          if (kimg == 1) then
             w1hw2(ip0) = 0.d0
             w1sw2(ip0) = 0.d0

             Do is=1, ndim_spinor
                do ii = 1, np_g1k(ik)            ! MPI
                   hr2 = zah_l_noncl(ii,ib2,1,1,is)
                   dr2 = zat_l_noncl(ii,ib2,1,1,is)
                   dr1 = zat_l_noncl(ii,ib1,1,1,is)
                   w1hw2(ip0) = w1hw2(ip0) + dr1*hr2
                   w1sw2(ip0) = w1sw2(ip0) + dr1*dr2
                end do
             End Do
          else
             if(k_symmetry(ik) == GAMMA) then
                w1hw2(ip0) = 0.d0
                w1sw2(ip0) = 0.d0
!!$                ig1 = 1;  if(mype == 0) ig1 = 2
                ig1 = 1;  if(myrank_e == 0) ig1 = 2

                Do is=1, ndim_spinor
                   do ii = ig1, np_g1k(ik)            ! MPI
                      hr2 = zah_l_noncl(ii,ib2,1,1,is) ! MPI
                      hi2 = zah_l_noncl(ii,ib2,2,1,is) ! MPI
                      dr2 = zat_l_noncl(ii,ib2,1,1,is) ! MPI
                      di2 = zat_l_noncl(ii,ib2,2,1,is) ! MPI
                      dr1 = zat_l_noncl(ii,ib1,1,1,is) ! MPI
                      di1 = zat_l_noncl(ii,ib1,2,1,is) ! MPI
                      w1hw2(ip0) =w1hw2(ip0)+(dr1*hr2+di1*hi2)*2.d0
                      w1sw2(ip0) =w1sw2(ip0)+(dr1*dr2+di1*di2)*2.d0
                   end do
                End do
!!$                if(mype == 0) then

                if(myrank_e == 0) then
                   Do is=1, ndim_spinor
                      hr2 = zah_l_noncl(1,ib2,1,1,is) ! MPI
                      hi2 = zah_l_noncl(1,ib2,2,1,is) ! MPI
                      dr2 = zat_l_noncl(1,ib2,1,1,is) ! MPI
                      di2 = zat_l_noncl(1,ib2,2,1,is) ! MPI
                      dr1 = zat_l_noncl(1,ib1,1,1,is) ! MPI
                      di1 = zat_l_noncl(1,ib1,2,1,is) ! MPI
                      w1hw2(ip0) =w1hw2(ip0)+dr1*hr2+di1*hi2
                      w1sw2(ip0) =w1sw2(ip0)+dr1*dr2+di1*di2
                   End do
                end if
             else
                w1hw2(2*ip0-1:2*ip0) = 0.d0
                w1sw2(2*ip0-1:2*ip0) = 0.d0
                Do is=1, ndim_spinor
                   do ii = 1, np_g1k(ik)           ! MPI
                      hr2 = zah_l_noncl(ii,ib2,1,1,is) ! MPI
                      hi2 = zah_l_noncl(ii,ib2,2,1,is) ! MPI
                      dr2 = zat_l_noncl(ii,ib2,1,1,is) ! MPI
                      di2 = zat_l_noncl(ii,ib2,2,1,is) ! MPI
                      dr1 = zat_l_noncl(ii,ib1,1,1,is) ! MPI
                      di1 = zat_l_noncl(ii,ib1,2,1,is) ! MPI
                      w1hw2(2*ip0-1) =w1hw2(2*ip0-1)+dr1*hr2+di1*hi2
                      w1hw2(2*ip0  ) =w1hw2(2*ip0  )+dr1*hi2-di1*hr2
                      w1sw2(2*ip0-1) =w1sw2(2*ip0-1)+dr1*dr2+di1*di2
                      w1sw2(2*ip0  ) =w1sw2(2*ip0  )+dr1*di2-di1*dr2
                   end do
                End do
             end if
          end if
       end do
    end do

    if(ipridavidson >= 3) call wd_w1hw2(" -- w1hw2 without nl part--")
    ! <n|Vnl|m> G-wise parallel
    call add_nonlocal_part_noncl  ! w1hw2 = w1hw2 + w1Vnlw2
                                  ! w1sw2 = w1sw2 + w1qw2
    if(ipridavidson >= 3) call wd_w1hw2(" -- w1hw2 with nl part--")

!! (spread sum of w1hw2 and w1sw2)
    if(npes > 1) then
       w1hw2_mpi = 0.d0
       w1sw2_mpi = 0.d0
       nshift = 0
       ndata = nsize_mt_now*kimg_t
       call mpi_allreduce(w1hw2(nshift+1),w1hw2_mpi,ndata,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr) ! MPI
       w1hw2(nshift+1:nshift+ndata) = w1hw2_mpi(1:ndata) ! MPI
       call mpi_allreduce(w1sw2(nshift+1),w1sw2_mpi,ndata,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr) ! MPI
       w1sw2(nshift+1:nshift+ndata) = w1sw2_mpi(1:ndata) ! MPI
    end if

    if(ipridavidson >= 2) call wd_w1hw2(" -- just after making w1hw2 --")
    if(ipridavidson >= 2) then
       write(nfout,*) 'neordr for ik = ',ik
       write(nfout,9002) (neordr(ib1,ik),ib1=1,neg)
       write(nfout,*) 'nrvf_ordr for ik = ',ik
       write(nfout,9002) (nrvf_ordr(ib1,ik),ib1=1,neg)
       write(nfout,*) 'eig'
       write(nfout,'(5x,10f8.4)') (eko_l(ib1,ik),ib1=1,np_e)
    endif
9002 format(5x,10i8)

!! (Diagonalization )  !!

    if(kimg_t == 1) then
       call dspgvx_driver(eig,vec,w1hw2,w1sw2,ierr_diag)
    else
       call zhpgvx_driver(eig,vec,w1hw2,w1sw2,ierr_diag)
    endif

    if(ierr_diag /= 0) then
       Do is=1, ndim_spinor
          zaj_l(:,:,ik+is-1,:) = zaj_l_backup_noncl(:,:,:,is)
#ifdef SAVE_FFT_TIMES
          if(sw_save_fft == ON) status_saved_phifftr(:,ik+is-1) = OLD
#endif
       End do
       do ib1 = 1, neg
          if(map_e(ib1) == myrank_e) then         ! MPI
             eko_l(map_z(ib1),ik)=eko_d(ib1)
          end if
       end do
       if(ipridavidson >= 2) then
          write(nfout,*) '** Mod Davidson SR error **'
          ! stop
       end if
    else

!!$       if(ipridavidson >= 2) then
       if(ipri0 >= 2) then
          write(nfout,*) 'eko_d for ik = ',ik
          write(nfout,9001) (eko_d(ib),ib=1,neg)
          write(nfout,*) 'eig for ik = ',ik
          write(nfout,9001) (eig(ib),ib=1,neg)
          call wd_w1hw2(" -- after diagonalization --")
!sum eko
          dr1=0.d0;dr2=0.d0
          do ib1=1,neg
             ib1to = neordr(ib1,ik)
             if(map_e(ib1to) == myrank_e) dr1=dr1+eko_l(map_z(ib1to),ik) ! MPI
             dr2=dr2+eig(ib1)
          enddo
          call mpi_allreduce(MPI_IN_PLACE,dr1,1,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr) ! MPI
          write(nfout,'(" sum of eko_l, eig, abs diff =",3e25.10)') dr1,dr2,abs(dr2-dr1)
       endif


!! (subspace rotation) !!
       call subspace_rotation_noncl          ! vec,zat_l -> zat_l
       if(ipridavidson>=2 .and. ik==1) write(nfout,'(" !### zaj_l is new,  bfft is old")')

!( tenchi ) (zaj_l <- zat_l)
       Do is=1, ndim_spinor
          k1 = ik + is -1
          call m_ES_W_transpose_back_r(.false., ista_k, iend_k, k1, zaj_l, &
               &                      zat_l_noncl(1,1,1,1,is) )
          zaj_l_backup_noncl(:,:,:,is) = zaj_l(:,:,k1,:)
#ifdef SAVE_FFT_TIMES
          if(sw_save_fft == ON) status_saved_phifftr(:,k1) = OLD
#endif
       End do

!! (eko_l)
       do ib1 = 1, neg
          if(map_e(ib1) == myrank_e) then         ! MPI
             eko_l(map_z(ib1),ik)=eig(ib1)
          end if
       end do
       if(ipridavidson >= 2) then
          eko2 = sum(eig(1:neg))
          write(nfout,1201) ik,eko1,ekod,eko2

          write(nfout,*) 'eko_l'
          write(nfout,9001) (eko_l(ib1,ik),ib1=1,neg)
       endif
1201 format(' %% for ik = ',i4,4x,' eko1&ekod&eko2 = ',3f14.7)
9001 format(5x,6f12.5)
!! (neordr & nrvf_ordr)

    end if

    neordr(1:neg,ik) = (/(ib1,ib1=1,neg)/)
    nrvf_ordr(1:neg,ik) = (/(ib1,ib1=1,neg)/)

! (deallocate)  
    deallocate(eko_d)
    deallocate(eig)
    deallocate(vec)
    deallocate(occup)

    call tstatc0_end(id_sname)

  contains
    subroutine get_ipri0(ipri_in, ipri_out)
      integer, intent(in)  :: ipri_in
      integer, intent(out) :: ipri_out
      if(npes > 1) then
         if(mype == 0) ipri_out = ipri_in
         call mpi_bcast(ipri_out,1,mpi_integer,0,mpi_k_world(myrank_k),ierr)
      else
         ipri_out = ipri_in
      end if
    end subroutine get_ipri0

    subroutine wd_w1hw2(somecomment)
      character(len=*), intent(in) :: somecomment
      integer :: ib1, ib2, neg_wd, nsb_wd
      write(nfout,'(a35)') somecomment
      write(nfout,*) 'w1hw2 for ik = ',ik
      neg_wd = 8
      nsb_wd = 8
      if(neg_wd > neg) neg_wd = neg
      if(nsb_wd > nsize_sb_now) nsb_wd = nsize_sb_now
      if(kimg_t==1) then
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1hw2(ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      else
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1hw2(2*ip0-1),ip0=ip0b+1,ip0b+ib2)
         end do
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1hw2(2*ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      end if
      write(nfout,*) 'w1sw2 for ik = ',ik
      if(kimg_t==1) then
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1sw2(ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      else
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1sw2(2*ip0-1),ip0=ip0b+1,ip0b+ib2)
         end do
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1sw2(2*ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      end if
9001  format(5x,9f12.5)
      write(nfout,*) 'eko_l for ik = ',ik
      write(nfout,9001) (eko_d(neordr(ib1,ik)),ib1=1,neg_wd)
    end subroutine wd_w1hw2

    subroutine add_nonlocal_part_noncl
      integer :: ip,ib1,ib2
      integer       :: ia, lmt1, lmt2, it, p, s, ib
      integer :: is1, is2, is_tmp
      integer :: il1, il2, im1, im2
      integer :: mdvdb

      complex(kind=CMPLDP) :: facv,facq
      real(kind=DP) :: vr,vi,qr,qi, cv1, cv2, cq1, cq2
      real(kind=DP) :: tmpr,tmpi

      do ib2 = 1,nsize_sb_now
         ip0b = ib2*(ib2-1)/2
         do ib1 = 1,ib2
            ip0 = ip0b + ib1
            if(mod(ip0-1,nrank_e)/=myrank_e) cycle
            if(kimg_t==1) then
               vr=0.d0
               qr=0.d0
            else
               vr=0.d0
               vi=0.d0
               qr=0.d0
               qi=0.d0
            end if

            do ia = 1, natm
               it = ityp(ia)

! ---------------------------------------------------- 11.0S
#ifdef SKIP_TEST
               mdvdb = m_PP_include_vanderbilt_pot(it)
#endif
! ---------------------------------------------------- 11.0S

               do lmt1 = 1, ilmt(it)
                  p = lmta(lmt1,ia)
                  il1 = ltp(lmt1,it); im1 = mtp(lmt1,it)

                  do lmt2 = 1, ilmt(it)
                     s = lmta(lmt2,ia)
                     il2 = ltp(lmt2,it); im2 = mtp(lmt2,it)

! ---------------------------------------------------- 11.0S
#ifdef SKIP_TEST
                     if ( mdvdb == SKIP ) then
                        if ( il1 /= il2 ) cycle
                        if ( SpinOrbit_mode == Neglected .and. sw_hubbard == OFF ) then
                           if ( im1 /= im2 ) cycle
                        endif
                     endif
#endif
! ---------------------------------------------------- 11.0S

                     Do is1=1, ndim_spinor
                        Do is2=1, ndim_spinor
                           is_tmp = 2*( is1 -1 ) +is2
                           facv = iwei(ia) *dion_scr_noncl( lmt1, lmt2, is_tmp, ia )
                           facq = iwei(ia) *q_noncl( lmt1, lmt2, is_tmp, it )

                           if ( kimg==1 ) then
                              tmpr = fsr_noncl( ib1, p, 1, is1 ) &
        &                           *fsr_noncl( ib2, s, 1, is2 ) &
        &                          + fsi_noncl( ib1, p, 1, is1 ) &
        &                           *fsi_noncl( ib2, s, 1, is2 )
                              tmpi = fsr_noncl( ib1, p, 1, is1 )&
        &                           *fsi_noncl( ib2, s, 1, is2 )&
        &                          - fsi_noncl( ib1, p, 1, is1 )&
        &                           *fsr_noncl( ib2, s, 1, is2 )
                              vr = vr + real( facv )*tmpr -aimag( facv )*tmpi
                              qr = qr + real( facq )*tmpr -aimag( facq )*tmpi
                           else
                              if ( k_symmetry(ik) == GAMMA ) then
                                 tmpr = fsr_noncl( ib1, p, 1, is1 )&
        &                              *fsr_noncl( ib2, s, 1, is2 )
                                 vr = vr + real( facv )*tmpr
                                 qr = qr + real( facq )*tmpr
                              else
                                 tmpr = fsr_noncl( ib1, p, 1, is1 )&
        &                              *fsr_noncl( ib2, s, 1, is2 )&
                    &                 + fsi_noncl( ib1, p, 1, is1 )&
        &                              *fsi_noncl( ib2, s, 1, is2 )
                                 tmpi = fsr_noncl( ib1, p, 1, is1 )&
        &                              *fsi_noncl( ib2, s, 1, is2 )&
        &                             - fsi_noncl( ib1, p, 1, is1 )&
        &                              *fsr_noncl( ib2, s, 1, is2 )

                                 cv1 = real(facv);  cv2 = aimag(facv)
                                 cq1 = real(facq);  cq2 = aimag(facq)

                                 vr = vr + cv1 *tmpr - cv2 *tmpi
                                 vi = vi + cv1 *tmpi + cv2 *tmpr
                                 qr = qr + cq1 *tmpr - cq2 *tmpi
                                 qi = qi + cq1 *tmpi + cq2 *tmpr

                              endif
                           end if
                        End do
                     End do
                  end do
               end do
            end do

            if ( kimg_t==1 ) then
               w1hw2(ip0) = w1hw2(ip0) + vr
               w1sw2(ip0) = w1sw2(ip0) + qr
            else
               w1hw2(2*ip0-1) = w1hw2(2*ip0-1) + vr
               w1hw2(2*ip0  ) = w1hw2(2*ip0  ) + vi
               w1sw2(2*ip0-1) = w1sw2(2*ip0-1) + qr
               w1sw2(2*ip0  ) = w1sw2(2*ip0  ) + qi
            end if
         end do
      end do
    end subroutine add_nonlocal_part_noncl

    subroutine subspace_rotation_noncl
      integer :: ib1,ib2,ibb2, is
!!$      real(kind=DP), dimension(np_g1k_x,neg,kimg) :: zaj_wk
      real(kind=DP), allocatable, dimension(:,:,:,:) :: zaj_wk
#ifdef _ODD_BOUNDARY_
     if(mod(np_g1k(ik),2) == 0) then
       np_g1k_x = np_g1k(ik) + 1
     else
        np_g1k_x = np_g1k(ik)
     end if
#else
     np_g1k_x = np_g1k(ik)
#endif
      allocate(zaj_wk(np_g1k_x,neg,kimg,ndim_spinor))

      zaj_wk = 0.d0
      if (kimg==1) then
         do ib1=1,neg
            do ib2=1,neg
               Do is=1, ndim_spinor
                  do ii=1,np_g1k(ik)
                     zaj_wk(ii,ib1,kimg,is) = zaj_wk(ii,ib1,kimg,is) &
                          &                 + zat_l_noncl(ii,ib2,kimg,1,is)*vec(ib2,ib1)
                  end do
               End Do
            end do
         end do
      else
         if (k_symmetry(ik) == GAMMA) then
            do ib1=1,neg
               do ib2=1,neg
                  hr2=vec(ib2,ib1)
                  Do is=1, ndim_spinor
                     do ii=1,np_g1k(ik)
                        dr1 = zat_l_noncl(ii,ib2,1   ,1,is)
                        di1 = zat_l_noncl(ii,ib2,kimg,1,is)
                        zaj_wk(ii,ib1,1   ,is) = zaj_wk(ii,ib1,1   ,is) +dr1*hr2
                        zaj_wk(ii,ib1,kimg,is) = zaj_wk(ii,ib1,kimg,is) +di1*hr2
                     end do
                  End do
               end do
            end do
         else
            do ib1=1,neg
               do ib2=1,neg
                  hr2=vec(2*ib2-1,ib1)
                  hi2=vec(2*ib2  ,ib1)
                  Do is=1, ndim_spinor
                     do ii=1,np_g1k(ik)
                        dr1 = zat_l_noncl(ii,ib2,1   ,1,is)
                        di1 = zat_l_noncl(ii,ib2,kimg,1,is)
                        zaj_wk(ii,ib1,1   ,is) = zaj_wk(ii,ib1,1   ,is) +dr1*hr2 -di1*hi2
                        zaj_wk(ii,ib1,kimg,is) = zaj_wk(ii,ib1,kimg,is) +dr1*hi2 +di1*hr2
                     end do
                  End do

               end do
            end do
         end if
      end if

      Do is=1, ndim_spinor
         zat_l_noncl(:,:,:,1,is) = zaj_wk(:,:,:,is)
      End Do
      deallocate(zaj_wk)

    end subroutine subspace_rotation_noncl

  end subroutine evolve_WFs_in_subspace_sr_noncl
! =================================================================== 11.0

  subroutine dspgvx_driver(eig,vec,w1hw2,w1sw2,ierr,nel)
    real(kind=DP), intent(out) ,dimension(nsize_sb_now) :: eig
    real(kind=DP), intent(out) ,dimension(nsize_sb_now*neg) :: vec
    real(kind=DP), intent(inout) ,dimension(nsize_mt_now) :: w1hw2,w1sw2
    integer, intent(out) :: ierr
    integer, intent(in), optional :: nel
    
    integer :: ITYPE
    character(len=1) :: JOBZ,RANGE,UPLO
    integer :: il,iu
    real(kind=DP),allocatable,dimension(:) :: work_lapack
    integer, allocatable, dimension(:) :: iwork_lapack, ifail_lapack
    real(kind=DP) :: vl,vu,abstol
    integer :: info,m
    real(kind=DP), external :: dlamch
    !!$real(kind=DP), dimension(nsize_mt_now) :: ap,bp
    real(kind=DP), allocatable, dimension(:) :: ap,bp

    allocate(ap(nsize_mt_now),bp(nsize_mt_now))
    abstol = 2*dlamch('S')

    il=1; iu=neg
    if(present(nel)) iu=nel
!(LAPACK)  ITYPE = 1:  A*x = (lambda)*B*x, 2:  A*B*x = (lambda)*x, 3:  B*A*x = (lambda)*x
    ITYPE = 1
!(LAPACK)  JOBZ = N : eigenvalue, V : eigenvalue + eigenvector
    JOBZ = 'V'
!(LAPACK)  RANGE = A : all eigenvalues, V: all eigenvalues in (VL, VU], I: the IL-th through IU-th eigenvalues
    RANGE = 'I'
!(LAPACK)  UPLO = U : upper triangle matrix,  L : lower triangle matrix
    UPLO = 'U'
    allocate(work_lapack(8*nsize_sb_now))
    allocate(iwork_lapack(5*nsize_sb_now))
    allocate(ifail_lapack(nsize_sb_now))

    ap = w1hw2
    bp = w1sw2

    call dspgvx(ITYPE,JOBZ,RANGE,UPLO,nsize_sb_now,ap,bp &
    &          ,vl,vu,il,iu,abstol,m,eig,vec,nsize_sb_now &
    &          ,work_lapack,iwork_lapack,ifail_lapack,info)

    if(ipridavidson >=2 .and. info/=0) then
       write(nfout,*) "debug(dspgvx) info=",info
       write(nfout,*) "debug(dspgvx) ifail"
       write(nfout,'(8(1x,i3))') ifail_lapack
       write(nfout,*) "debug(dspgvx) eig"
       write(nfout,'(8(1x,f10.5))') eig
    end if

    deallocate(work_lapack)
    deallocate(iwork_lapack)
    deallocate(ifail_lapack)

    deallocate(ap,bp)

    if(info/=0) then
       !!write(nfout,*) "dspgvx: info=",info
       !!stop 'error in dspgvx_driver'
       ierr = 1
    else
       ierr = 0
    end if

  end subroutine dspgvx_driver
  
  subroutine dspgvx_driver_loc(eig,vec,w1hw2,w1sw2,ierr,nel)
    integer, intent(in) :: nel
    real(kind=DP), intent(out) ,dimension(nsize_sb_now) :: eig
    real(kind=DP), intent(out) ,dimension(nsize_sb_now*nel) :: vec
    real(kind=DP), intent(inout) ,dimension(nsize_mt_now) :: w1hw2,w1sw2
    integer, intent(out) :: ierr
    
    integer :: ITYPE
    character(len=1) :: JOBZ,RANGE,UPLO
    integer :: il,iu
    real(kind=DP),allocatable,dimension(:) :: work_lapack
    integer, allocatable, dimension(:) :: iwork_lapack, ifail_lapack
    real(kind=DP) :: vl,vu,abstol
    integer :: info,m
    real(kind=DP), external :: dlamch
    !!$real(kind=DP), dimension(nsize_mt_now) :: ap,bp
    real(kind=DP), allocatable, dimension(:) :: ap,bp

    allocate(ap(nsize_mt_now),bp(nsize_mt_now))
    abstol = 2*dlamch('S')

    il=1; iu=nel
!(LAPACK)  ITYPE = 1:  A*x = (lambda)*B*x, 2:  A*B*x = (lambda)*x, 3:  B*A*x = (lambda)*x
    ITYPE = 1
!(LAPACK)  JOBZ = N : eigenvalue, V : eigenvalue + eigenvector
    JOBZ = 'V'
!(LAPACK)  RANGE = A : all eigenvalues, V: all eigenvalues in (VL, VU], I: the IL-th through IU-th eigenvalues
    RANGE = 'I'
!(LAPACK)  UPLO = U : upper triangle matrix,  L : lower triangle matrix
    UPLO = 'U'
    allocate(work_lapack(8*nsize_sb_now))
    allocate(iwork_lapack(5*nsize_sb_now))
    allocate(ifail_lapack(nsize_sb_now))

    ap = w1hw2
    bp = w1sw2

    call dspgvx(ITYPE,JOBZ,RANGE,UPLO,nsize_sb_now,ap,bp &
    &          ,vl,vu,il,iu,abstol,m,eig,vec,nsize_sb_now &
    &          ,work_lapack,iwork_lapack,ifail_lapack,info)

!    if(ipridavidson >=2 .and. info/=0) then
    if(info/=0) then
       write(nfout,*) "debug(dspgvx) info=",info
       write(nfout,*) "debug(dspgvx) ifail"
       write(nfout,'(8(1x,i3))') ifail_lapack
       write(nfout,*) "debug(dspgvx) eig"
       write(nfout,'(8(1x,f10.5))') eig
    end if

    deallocate(work_lapack)
    deallocate(iwork_lapack)
    deallocate(ifail_lapack)

    deallocate(ap,bp)

    if(info/=0) then
       !!write(nfout,*) "dspgvx: info=",info
       !!stop 'error in dspgvx_driver'
       ierr = 1
    else
       ierr = 0
    end if

  end subroutine dspgvx_driver_loc
#ifdef DGEMM_PSUBSPACE
  subroutine dsygvx_driver(eig, vec, w1hw2, w1sw2, ierr, nel)
    integer, intent(in) :: nel
    real(kind=DP), intent(out),   dimension(nsize_sb_now)               :: eig
    real(kind=DP), intent(out),   dimension(nsize_sb_now*nel)           :: vec
    real(kind=DP), intent(inout), dimension(nsize_sb_now, nsize_sb_now) :: w1hw2, w1sw2
    integer, intent(out) :: ierr
    integer :: ITYPE, il, iu, lwork, info, m
    character(len=1) :: JOBZ, RANGE, UPLO
    real(kind=DP) :: vl, vu, abstol, work_tmp
    real(kind=DP), allocatable, dimension(:) :: work
    integer, allocatable, dimension(:) :: iwork, ifail
    real(kind=DP), external :: dlamch

    abstol = 2*dlamch('S')
    il = 1; iu = nel
    ITYPE = 1; JOBZ = 'V'; RANGE = 'I'; UPLO = 'U'

    allocate(iwork(5*nsize_sb_now))
    allocate(ifail(nsize_sb_now))

    call dsygvx(ITYPE, JOBZ, RANGE, UPLO, nsize_sb_now, &
   &            w1hw2, nsize_sb_now, w1sw2, nsize_sb_now, &
   &            vl, vu, il, iu, abstol, m, eig, vec, nsize_sb_now, &
   &            work_tmp, -1, iwork, ifail, info)

    lwork = int(work_tmp)
    if (lwork<8*nsize_sb_now) lwork = 8*nsize_sb_now
    allocate(work(lwork))

    call dsygvx(ITYPE, JOBZ, RANGE, UPLO, nsize_sb_now, &
   &            w1hw2, nsize_sb_now, w1sw2, nsize_sb_now, &
   &            vl, vu, il, iu, abstol, m, eig, vec, nsize_sb_now, &
   &            work, lwork, iwork, ifail, info)

    if(info /= 0) then
       write(nfout,*) "debug(dsygvx) info=",info
       write(nfout,*) "debug(dsygvx) ifail"
       write(nfout,'(8(1x,i3))') ifail
       write(nfout,*) "debug(dsygvx) eig"
       write(nfout,'(8(1x,f10.5))') eig
    end if

    deallocate(work)
    deallocate(iwork)
    deallocate(ifail)

    if(info /= 0) then
       ierr = 1
    else
       ierr = 0
    end if

  end subroutine dsygvx_driver
#endif

  subroutine zhpgvx_driver(eig,vec,w1hw2,w1sw2,ierr,nel)
    real(kind=DP), intent(out) ,dimension(nsize_sb_now) :: eig
    real(kind=DP), intent(out) ,dimension(nsize_sb_now*kimg,nsize_sb_now) :: vec
    real(kind=DP), intent(in) ,dimension(nsize_mt_now*kimg) :: w1hw2,w1sw2
    integer, intent(out) :: ierr
    integer, intent(in), optional :: nel
    integer :: ITYPE
    character(len=1) :: JOBZ,RANGE,UPLO
    integer :: il,iu
    real(kind=DP),allocatable,dimension(:) :: work_lapack
    real(kind=DP),allocatable,dimension(:) :: rwork_lapack
    integer, allocatable, dimension(:) :: iwork_lapack, ifail_lapack
    real(kind=DP) :: vl,vu,abstol
    integer :: info,m
    real(kind=DP), external :: dlamch
!!$    real(kind=DP), dimension(nsize_mt_now*kimg) :: ap,bp
    real(kind=DP), allocatable, dimension(:) :: ap,bp
    integer :: ib,i

    abstol = 2*dlamch('S')

    il=1; iu=neg
    if(present(nel)) iu=nel
!(LAPACK)  ITYPE = 1:  A*x = (lambda)*B*x, 2:  A*B*x = (lambda)*x, 3:  B*A*x = (lambda)*x
    ITYPE = 1
!(LAPACK)  JOBZ = N : eigenvalue, V : eigenvalue + eigenvector
    JOBZ = 'V'
!(LAPACK)  RANGE = A : all eigenvalues, V: all eigenvalues in (VL, VU], I: the IL-th through IU-th eigenvalues
    RANGE = 'I'
!(LAPACK)  UPLO = U : upper triangle matrix,  L : lower triangle matrix
    UPLO = 'U'
    allocate(work_lapack(2*nsize_sb_now*kimg)); work_lapack = 0.d0
    allocate(rwork_lapack(7*nsize_sb_now)); rwork_lapack = 0.d0
    allocate(iwork_lapack(5*nsize_sb_now)); iwork_lapack = 0
    allocate(ifail_lapack(nsize_sb_now)); ifail_lapack=0
    allocate(ap(nsize_mt_now*kimg));ap=0.d0
    allocate(bp(nsize_mt_now*kimg));bp=0.d0

    if(ipridavidson >=3 ) then
       write(nfout,*) "debug(zhpgvx) i,w1hw2,w1sw2"
       do ib=1,nsize_sb_now
          i = ib*(ib-1)/2 + ib
          write(nfout,*) ib,w1hw2(2*i-1),w1sw2(2*i-1)
       end do
       ap = w1sw2
       write(nfout,*) "debug(zhpgvx) i,ap,w1sw2"
       do i=1,nsize_mt_now
          write(nfout,*) i,ap(2*i-1),w1sw2(2*i-1)
       end do
       call zhpevx('N','A','U',nsize_sb_now,ap,vl,vu,il,iu,abstol,m &
    &          ,eig,vec,nsize_sb_now &
    &          ,work_lapack,rwork_lapack,iwork_lapack,ifail_lapack,info)
       write(nfout,*) "debug(zhpgvx) eig of w1sw2"
       do ib=1,nsize_sb_now
          write(nfout,*) ib,eig(ib)
       end do
    end if

    ap = w1hw2
    bp = w1sw2

    call zhpgvx(ITYPE,JOBZ,RANGE,UPLO,nsize_sb_now,ap,bp &
    &          ,vl,vu,il,iu,abstol,m,eig,vec,nsize_sb_now &
    &          ,work_lapack,rwork_lapack,iwork_lapack,ifail_lapack,info)

!    if(ipridavidson >=2 .and. info/=0) then
    if(info/=0) then
       write(nfout,*) "debug(zhpgvx) info=",info
       write(nfout,*) "debug(zhpgvx) ifail"
       write(nfout,'(8(1x,i3))') ifail_lapack
       write(nfout,*) "debug(zhpgvx) eig"
       write(nfout,'(8(1x,f10.5))') eig
    end if
    
    deallocate(work_lapack)
    deallocate(rwork_lapack)
    deallocate(iwork_lapack)
    deallocate(ifail_lapack)
    deallocate(ap,bp)

    if(info/=0) then
       !!write(nfout,*) "zhpgvx: info=",info
       !!stop 'error in zhpgvx_driver'
       ierr = 1
    else
       ierr = 0
    end if

  end subroutine zhpgvx_driver
#ifdef DGEMM_PSUBSPACE
  subroutine zhegvx_driver(eig, vec, w1hw2, w1sw2, ierr, nel)
    integer, intent(in):: nel
    real(kind=DP), intent(out),   dimension(nsize_sb_now) :: eig
    real(kind=DP), intent(out),   dimension(nsize_sb_now*kimg, nel) :: vec
    real(kind=DP), intent(inout), dimension(nsize_sb_now*kimg, nsize_sb_now) :: w1hw2, w1sw2
    integer, intent(out) :: ierr
    integer :: ITYPE, il, iu, lwork, info, m
    character(len=1) :: JOBZ, RANGE, UPLO
    complex(kind=DP) :: work_tmp
    complex(kind=DP), allocatable, dimension(:) :: work
    real(kind=DP), allocatable, dimension(:) :: rwork
    integer, allocatable, dimension(:) :: iwork, ifail
    real(kind=DP) :: vl, vu, abstol
    real(kind=DP), external :: dlamch

    abstol = 2*dlamch('S')
    il = 1; iu = nel
    ITYPE = 1; JOBZ = 'V'; RANGE = 'I'; UPLO = 'U'

    allocate(rwork(7*nsize_sb_now))
    allocate(iwork(5*nsize_sb_now))
    allocate(ifail(nsize_sb_now))

    call zhegvx(ITYPE, JOBZ, RANGE, UPLO, nsize_sb_now, &
   &            w1hw2, nsize_sb_now, w1sw2, nsize_sb_now, &
   &            vl, vu, il, iu, abstol, m, eig, vec, nsize_sb_now, &
   &            work_tmp, -1, rwork, iwork, ifail, info)

    lwork = int(real(work_tmp))
    if (lwork<8*nsize_sb_now) lwork = 8*nsize_sb_now
    allocate(work(lwork))

    call zhegvx(ITYPE, JOBZ, RANGE, UPLO, nsize_sb_now, &
   &            w1hw2, nsize_sb_now, w1sw2, nsize_sb_now, &
   &            vl, vu, il, iu, abstol, m, eig, vec, nsize_sb_now, &
   &            work, lwork, rwork, iwork, ifail, info)

    if(info /= 0) then
       write(nfout,*) "debug(zhegvx) info=",info
       write(nfout,*) "debug(zhegvx) ifail"
       write(nfout,'(8(1x,i3))') ifail
       write(nfout,*) "debug(zhegvx) eig"
       write(nfout,'(8(1x,f10.5))') eig
    end if
    
    deallocate(work)
    deallocate(rwork)
    deallocate(iwork)
    deallocate(ifail)

    if(info /= 0) then
       ierr = 1
    else
       ierr = 0
    end if

  end subroutine zhegvx_driver
#endif
  
  subroutine m_ESmddavid_Renew_WF(nfout,precon)
    integer, intent(in) :: nfout,precon
    integer             :: ispin, ik, iksnl, switch_of_eko_part
    integer :: iblock,itot
    real(kind=DP), allocatable, dimension(:) ::  afft, bfft
    real(kind=DP), allocatable, dimension(:) :: ekin,p
    logical :: frestart
    integer :: iblock_now, itot_now, ipri0
    integer :: n_unconv
    real(kind=DP), allocatable, dimension(:,:,:) :: vexx
    real(kind=DP) :: exx
    integer :: ng


    allocate(ekin(kg1),p(kg1))
    call m_ES_alloc_scss_etc()

    allocate(afft(nfft)); allocate(bfft(nfft))
    if ( use_metagga .and. vtau_exists ) allocate( cfft(nfft) )

    call allocate_matrix()
    if(sw_hybrid_functional==ON) then
       call m_ES_EXX_gather_valence_states(nfout)
    endif

    do ispin = 1, nspin, (af+1)
       call m_ES_Vlocal_in_Rspace(ispin,afft)      ! (ptfft1) vlhxc_l->afft
!!$       call tstatc0_begin('m_ESmddavid_Renew_WF ', id_sname,1)

       if ( use_metagga .and. vtau_exists ) then
          call m_ES_Vlocal_in_Rspace( ispin, cfft, vtau_l )    ! r space
       endif

       do ik = ispin, kv3-nspin+ispin, nspin
          if(map_k(ik) /= myrank_k) cycle          ! MPI
          iksnl = (ik-1)/nspin + 1
          call allocate_t_matrix(ik)
          call m_pwBS_kinetic_energies(ik,vkxyz,ekin) ! (diakin) ->ekin
          feigconv = .false.
          Loop: do itot=1,max_iter_david
             itot_now = itot
             if(ipridavidson >= 2 .and. ik == 1) write(nfout,'(" itot = ",i8, " nblock = ", i8)') itot,nblock
             call m_ES_Vnonlocal_W(ik,iksnl,ispin,switch_of_eko_part=ON,map=feigconv) ! -> vnlph_l

             if ( use_metagga .and. vtau_exists ) &
                  &     call m_ES_contrib_kindens_to_vnlph( ispin, ik, cfft )

             if(sw_hybrid_functional==ON) call m_ES_Vexx_W(ik)
             call decide_correction_vector(precon,ispin,ik,ekin,afft,bfft,p,itot)
             call prepare_Hloc_phi(ik,ispin,ekin,afft,bfft,itot)

!print *,ik,itot  
!!$if(ipridavidson>=2) write(nfout,*) 'B',feigconv     
             icountocc=0
             icountuocc=0
             Block_Loop: do iblock=1,nblock
                iblock_now = iblock
                call evolve_WFs_in_subspace(ik,ispin,iblock,itot,frestart)
             end do Block_Loop
             if(ipridavidson>=2) &
             write(nfout,'(a,4i8)') 'ik, iter_david, # of converged occup band, # of converged empty band ' &
             ,ik,itot,icountocc,icountuocc
             if(allbands_converged()) then
               if(ipridavidson>=2) &
               write(nfout,'(a,i5,a,i5)') 'kosugi/davidson iteration converged after ',itot,' iterations at kpoint ',ik
               exit
             endif
!!$if(ipridavidson>=2) write(nfout,*) 'A',feigconv
!             call m_ES_betar_dot_WFs_4_each_k(nfout,ik)   ! -> fsr_l,fsi_l
          end do Loop
          if(ipridavidson>=2) then
             write(nfout,'("Mddavid: ik=",i5," itot=",i5," subspace=",i5)') &
                                                                 ik, itot_now, nsize_sb_now
          end if
          call deallocate_t_matrix
       enddo      ! k-point loop
!!$       call tstatc0_end(id_sname)
    enddo      ! spin loop

    if ( allocated(cfft) ) deallocate(cfft)
    call deallocate_matrix

!    if(ipridavidson>=2) then
!       write(nfout,'("Modified Davidson: max_itot=",i5)') max_itot
!    end if
!
    call m_ES_sort_eigen_values()
!!!  ( in case of af=1 )
!    if(af /= 0) then
!       call cp_eigen_values_for_af       !-(contained here)
!       call expand_neordr_and_nrvf_ordr  !-(contained here)
!    end if

    call get_ipri0(ipridavidson,ipri0)
    if(ipri0 >= 2) call m_ES_wd_eko(nfout,mode=SCF)
!
    deallocate(bfft);   deallocate(afft)
    call m_ES_dealloc_scss_etc()
    deallocate(ekin,p)
!deallocate(vnldi,hdiag,sdiag)
  contains

    subroutine get_ipri0(ipri_in, ipri_out)
      integer, intent(in)  :: ipri_in
      integer, intent(out) :: ipri_out
      if(npes > 1) then
         if(mype == 0) ipri_out = ipri_in
         call mpi_bcast(ipri_out,1,mpi_integer,0,mpi_comm_group,ierr)
      else
         ipri_out = ipri_in
      end if
    end subroutine get_ipri0

    logical function eigenvalues_are_converged(n_unconv)
       integer, intent(out) :: n_unconv
       integer :: ib

       n_unconv = 0
       eigenvalues_are_converged = .true.
       do ib=1,np_e
          if(.not.feigconv(ib)) then
             eigenvalues_are_converged = .false.
             n_unconv = n_unconv + 1
          end if
       end do
    end function eigenvalues_are_converged
    
  end subroutine m_ESmddavid_Renew_WF
  
  subroutine allocate_matrix()
    integer:: i,j
    integer :: np_e_tmp
    integer, save :: parameter_printed = OFF
    np_e_tmp = np_e 
    if(sw_divide_subspace==OFF) np_e_tmp=neg

    nblock = npartition_david
    if(np_e .lt. npartition_david) nblock = np_e
!!$    nblock = npartition_mddavid
!!$    if(np_e .lt. npartition_mddavid) nblock = np_e
    if(sw_divide_subspace==OFF) nblock=1
    
    allocate(nsize_subspace(nblock))
    allocate(nsize_matrix(nblock))
    allocate(ista_e_l(nblock))
    allocate(iend_e_l(nblock))
    allocate(ielm_e_l(nblock))
    ielm_e_l=np_e_tmp/nblock
    j = mod(np_e_tmp,nblock)
    do i = 1, j
       ielm_e_l(i) = ielm_e_l(i) + 1
    end do
    ista_e_l(1) = 1
    do i = 2, nblock
       ista_e_l(i) = ista_e_l(i-1) + ielm_e_l(i-1)
       iend_e_l(i-1) = ista_e_l(i) - 1
    end do
    iend_e_l(nblock) = np_e_tmp
    do i=1,nblock
      if(sw_MRCV_only==ON)then
        nsize_subspace(i)=ielm_e_l(i)*2
        nsize_matrix(i)=nsize_subspace(i)*(nsize_subspace(i)+1)/2
      else
        nsize_subspace(i)=ielm_e_l(i)*(max_iter_david+1)
        nsize_matrix(i)=nsize_subspace(i)*(nsize_subspace(i)+1)/2
      endif
    end do
    msize_subspace=maxval(nsize_subspace)
    msize_matrix=maxval(nsize_matrix)
    allocate(feigconv(np_e))
    allocate(ibover(msize_subspace,nblock))
    if(sw_MRCV_only==ON)then
       allocate(fsr(np_e,nlmta,2));fsr=0.d0
       if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          allocate(fsi(np_e,nlmta,2));fsi=0.d0
       end if
    else
       allocate(fsr(np_e,nlmta,max_iter_david+1))
       if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          allocate(fsi(np_e,nlmta,max_iter_david+1))
       end if
    endif
    eps_residual = eps_david
    if(sw_MRCV_only==OFF)then
       allocate(zajold_l(kg1,np_e,kimg))
       allocate(fsrold_l(np_e,nlmta))
       if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
         allocate(fsiold_l(np_e,nlmta))
       endif
    end if
    if(ipridavidson >= 2 .and. parameter_printed == OFF) then
       write(nfout,'(" ---- Parameters decided in allocate_matrix of MdDavidson ---")')
       write(nfout,'(" -- npartition_david, nblock, np_e = ",3i8," --")') &
            & npartition_david, nblock, np_e
       write(nfout,'(" -- ista_e_l, iend_e_l, ielm_e_l --")')
       do i = 1, nblock
          write(nfout,'(" (",i3,")",3i9)') i, ista_e_l(i), iend_e_l(i), ielm_e_l(i)
       end do
       parameter_printed = ON
    end if
  end subroutine allocate_matrix

  
  subroutine deallocate_matrix
    deallocate(nsize_subspace)
    deallocate(nsize_matrix)
    deallocate(ista_e_l)
    deallocate(iend_e_l)
    deallocate(ielm_e_l)
    deallocate(feigconv)
    deallocate(ibover)
    deallocate(fsr)
    if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
       deallocate(fsi)
    end if
    if(sw_MRCV_only==OFF)then
       deallocate(zajold_l)
       deallocate(fsrold_l)
       if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
         deallocate(fsiold_l)
       end if
    endif
  end subroutine deallocate_matrix

  subroutine allocate_t_matrix(ik)
    integer, intent(in) :: ik
    integer :: kimg_t
    integer :: niter
    if(k_symmetry(ik) == GAMMA) then
       kimg_t = 1
    else
       kimg_t = kimg
    end if    
    niter=max_iter_david+1
    if(sw_MRCV_only==ON) niter = 2
    allocate(zat_l(kg1,np_e,kimg,niter)) ! MPI
    allocate(zah_l(kg1,np_e,kimg,niter)) ! MPI
#ifdef _ODD_BOUNDARY_
    if(mod(np_g1k(ik),2) == 0) then
       np_g1k_x = np_g1k(ik) + 1
    else
       np_g1k_x = np_g1k(ik)
    end if
#else
    np_g1k_x = np_g1k(ik)
#endif
#ifndef DGEMM_PSUBSPACE
    allocate(w1hw2(msize_matrix*kimg_t))
    allocate(w1sw2(msize_matrix*kimg_t))
#endif
    allocate(wfsd_l(kg1,np_e,ik:ik,kimg)); wfsd_l = 0.d0
    allocate(bsdr_l(np_e,nlmta,ik:ik)); bsdr_l = 0.d0
    allocate(bsdi_l(np_e,nlmta,ik:ik)); bsdi_l = 0.d0
    if(sw_MRCV_only==OFF)then
       zajold_l(:,:,:)=zaj_l(:,:,ik,:)
       fsrold_l(:,:)=fsr_l(:,:,ik)
       if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
         fsiold_l(:,:)=fsi_l(:,:,ik)
       end if
    endif
    if(sw_divide_subspace==OFF)then
       allocate(zat_l_t(np_g1k_x,neg,kimg,niter));zat_l_t=0.d0 ! MPI
       allocate(zah_l_t(np_g1k_x,neg,kimg,niter));zah_l_t=0.d0 ! MPI
       allocate(feigconv_t(neg));feigconv_t=.false.
       allocate(fsr_t0(neg,nlmta,niter));fsr_t0=0.d0
       if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          allocate(fsi_t0(neg,nlmta,niter));fsi_t0=0.d0
       endif
#ifndef DGEMM_PSUBSPACE
       allocate(w1hw2_mpi(msize_matrix*kimg_t));w1hw2_mpi=0.0d0
       allocate(w1sw2_mpi(msize_matrix*kimg_t));w1sw2_mpi=0.0d0
#endif
    endif
  end subroutine allocate_t_matrix


  subroutine deallocate_t_matrix
! ================================== modified by K. Tagami =========== 11.0
!    deallocate(zat_l) ! MPI
!    deallocate(zah_l) ! MPI
! ==================================================================== 11.0
#ifndef DGEMM_PSUBSPACE
    deallocate(w1hw2)
    deallocate(w1sw2)
#else
    if(noncol) then
      deallocate(w1hw2)
      deallocate(w1sw2)
    endif
#endif
    if(sw_divide_subspace==OFF)then
       if ( allocated( zat_l_t ) ) deallocate(zat_l_t)
       if ( allocated( zah_l_t ) ) deallocate(zah_l_t)
       if ( allocated( feigconv_t ) ) deallocate(feigconv_t)
       if ( allocated( fsr_t0) ) deallocate(fsr_t0)
       if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          if ( allocated( fsi_t0) ) deallocate(fsi_t0)
       endif
#ifndef DGEMM_PSUBSPACE
       deallocate(w1hw2_mpi)
       deallocate(w1sw2_mpi)
#endif
    endif
    deallocate(bsdr_l)
    deallocate(bsdi_l)
    if ( noncol ) then
       deallocate(zat_l_noncl) ! MPI
       deallocate(zah_l_noncl) ! MPI
    else
       deallocate(zat_l) ! MPI
       deallocate(zah_l) ! MPI
    endif
    deallocate(wfsd_l)
  end subroutine deallocate_t_matrix
  
  subroutine prepare_Hloc_phi(ik,ispin,ekin,afft,bfft,itot)
    integer, intent(in) :: ik,ispin
    integer, intent(in) :: itot
    real(kind=DP), intent(in)  :: ekin(kg1)
    real(kind=DP), intent(in)  :: afft(nfft)
    real(kind=DP), intent(out) :: bfft(nfft)

    integer       :: ib1,i1,ii,ib
    real(kind=DP) :: denom
    real(kind=DP) :: dr1,dr2,di1,di2,dd
    integer :: is,is1,ib2,ibesize
    integer :: id_sname = -1, id_sname1=-1, id_sname2=-1, id_sname3=-1, ipri0
    real(kind=DP), allocatable, dimension(:,:) :: vtau_phl
    real(kind=DP), allocatable, dimension(:,:) :: vexx
    real(kind=DP) :: exx
    integer :: niter, iflag
    integer :: ng
    call tstatc0_begin('prepare_Hloc_phi ', id_sname,1)

    call get_ipri0(ipridavidson,ipri0)

    denom = 1.d0/product(fft_box_size_WF(1:3,1))
    if(sw_hybrid_functional==ON) then
        ng = kg1
        allocate(vexx(ng,kimg))
        vexx = 0.0d0
    endif
    if ( use_metagga .and. vtau_exists ) then
       allocate( vtau_phl(kg1,kimg) );  vtau_phl = 0.0d0
    endif

! (zaj_l <- (T+Vloc)|phi> )
!!    zaj_l(:,:,ik,:) = zajold_l(:,:,:,idavid)
!( tenchi ) (zat_l <- zaj_l)

    if(sw_MRCV_only==ON)then
       zat_l(:,:,:,1) = zaj_l(:,:,ik,:)
       zat_l(:,:,:,2) = wfsd_l(:,:,ik,:)
       fsr(:,:,1)=fsr_l(:,:,ik)
       fsr(:,:,2)=bsdr_l(:,:,ik)
       if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          fsi(:,:,1)=fsi_l(:,:,ik)
          fsi(:,:,2)=bsdi_l(:,:,ik)
       end if
    else
        zat_l(:,:,:,itot+1) = wfsd_l(:,:,ik,:)
        fsr(:,:,itot+1)=bsdr_l(:,:,ik)
        if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
           fsi(:,:,itot+1)=bsdi_l(:,:,ik)
        end if
    endif

!    if(itot == 1) then
!
!      do ib1 = ista_e, iend_e, istep_e     ! MPI
!         call m_ES_WF_in_Rspace(ik,ib1,bfft)!(swffft)
!         call m_FFT_Vlocal_W(afft,bfft)    ! (afft, bfft)-> (bfft)
!         call m_FFT_WF(ELECTRON,nfout,bfft,DIRECT,ON)
!         ib = map_z(ib1)                 ! MPI
!
!         if(sw_hybrid_functional==ON) then
!            if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
!                call m_ES_EXX_potential(nfout,ispin,ib,ik,ng,fsr_l(ib,1:nlmta,ik),fsi_l(ib,1:nlmta,ik),vexx,0)
!            else
!                call m_ES_EXX_potential(nfout,ispin,ib,ik,ng,fsr_l(ib,1:nlmta,ik),fsr_l(ib,1:nlmta,ik),vexx,0)
!            endif
!         endif
!
!         if(kimg == 1) then
!            do ii=1,iba(ik)
!               i1  = igf(nbase(ii,ik))
!               dr1 = zaj_l(ii,ib,ik,1)
!               dr2 = bfft(i1)*denom
!               zah_l(ii,ib,1,1) = ekin(ii)*dr1+dr2
!            enddo
!            if(sw_hybrid_functional==ON)then
!               do ii=1,iba(ik)
!                  zah_l(ii,ib,1,1) = zah_l(ii,ib,1,1) + vexx(ii,1)
!               enddo
!            endif
!         else
!            do ii=1,iba(ik)
!               i1  = igf(nbase(ii,ik))
!               dr1  = zaj_l(ii,ib,ik,1)
!               di1  = zaj_l(ii,ib,ik,kimg)
!               zah_l(ii,ib,1,1)= ekin(ii)*dr1+bfft(2*i1-1)*denom
!               zah_l(ii,ib,kimg,1)= ekin(ii)*di1+bfft(2*i1)*denom
!            enddo
!            if(sw_hybrid_functional==ON)then
!               do ii=1,iba(ik)
!                  zah_l(ii,ib,1,1) = zah_l(ii,ib,1,1) + vexx(ii,1)
!                  zah_l(ii,ib,kimg,1) = zah_l(ii,ib,kimg,1) + vexx(ii,kimg)
!               enddo
!            endif
!         endif
!      enddo
!    end if
    
!!( tenchi ) (zah_l <- zaj_l)
    zaj_l(:,:,ik,:) = wfsd_l(:,:,ik,:)
#ifdef SAVE_FFT_TIMES
    if(sw_save_fft == ON) status_saved_phifftr(:,ik) = OLD
#endif
    
    do ib1 = ista_e, iend_e, istep_e     ! MPI
       ib = map_z(ib1)                 ! MPI
       if(feigconv(ib)) cycle
       call m_ES_WF_in_Rspace(ik,ib1,bfft)!(swffft)
       call m_FFT_Vlocal_W(afft,bfft)    ! (afft, bfft)-> (bfft)
       call m_FFT_WF(ELECTRON,nfout,bfft,DIRECT,ON)
       if(sw_hybrid_functional==ON) then
          if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          if(sw_MRCV_only==ON)then
             call m_ES_EXX_potential(nfout,ispin,ib,ik,ng,fsr(ib,1:nlmta,2),fsi(ib,1:nlmta,2),vexx)
          else
             call m_ES_EXX_potential(nfout,ispin,ib,ik,ng,fsr(ib,1:nlmta,itot+1),fsi(ib,1:nlmta,itot+1),vexx)
          endif
          else
          if(sw_MRCV_only==ON)then
             call m_ES_EXX_potential(nfout,ispin,ib,ik,ng,fsr(ib,1:nlmta,2),fsr(ib,1:nlmta,2),vexx)
          else
             call m_ES_EXX_potential(nfout,ispin,ib,ik,ng,fsr(ib,1:nlmta,itot+1),fsr(ib,1:nlmta,itot+1),vexx)
          endif
          endif
       endif
       if ( use_metagga .and. vtau_exists ) then
          call m_ES_kindens_to_vnlph_ib2( ispin, ik, ib, cfft, vtau_phl )
       endif

       if(kimg == 1) then
          do ii=1,iba(ik)
             i1  = igf(nbase(ii,ik))
             dr1 = zaj_l(ii,ib,ik,1)
             dr2 = bfft(i1)*denom
!             zaj_l(ii,ib,ik,1)= ekin(ii)*dr1+dr2
             if(sw_MRCV_only==ON)then
                zah_l(ii,ib,1,2) = ekin(ii)*dr1+dr2
             else
                zah_l(ii,ib,1,itot+1) = ekin(ii)*dr1+dr2
             endif
          enddo
          if(sw_hybrid_functional==ON)then
             do ii=1,iba(ik)
                if(sw_MRCV_only==ON)then
                   zah_l(ii,ib,1,2) = zah_l(ii,ib,1,2) + vexx(ii,1)
                else
                   zah_l(ii,ib,1,itot+1) = zah_l(ii,ib,1,itot+1) + vexx(ii,1)
                endif
             enddo
          endif
          if( use_metagga .and. vtau_exists ) then
             do ii=1,iba(ik)
                if(sw_MRCV_only==ON)then
                   zah_l(ii,ib,1,2)= zah_l(ii,ib,1,2) +vtau_phl(ii,1)
                else
                   zah_l(ii,ib,1,itot+1)= zah_l(ii,ib,1,itot+1)+vtau_phl(ii,1)
                endif
             end do
          endif
       else
          do ii=1,iba(ik)
             i1  = igf(nbase(ii,ik))
             dr1  = zaj_l(ii,ib,ik,1)
             di1  = zaj_l(ii,ib,ik,kimg)
!             zaj_l(ii,ib,ik,1)= ekin(ii)*dr1+bfft(2*i1-1)*denom
!             zaj_l(ii,ib,ik,kimg)= ekin(ii)*di1+bfft(2*i1)*denom
             if(sw_MRCV_only==ON)then
                zah_l(ii,ib,1,2)= ekin(ii)*dr1+bfft(2*i1-1)*denom
                zah_l(ii,ib,kimg,2)= ekin(ii)*di1+bfft(2*i1)*denom
             else
                zah_l(ii,ib,1,itot+1)= ekin(ii)*dr1+bfft(2*i1-1)*denom
                zah_l(ii,ib,kimg,itot+1)= ekin(ii)*di1+bfft(2*i1)*denom
             endif
          enddo
          if(sw_hybrid_functional==ON)then
             do ii=1,iba(ik)
                if(sw_MRCV_only==ON)then
                   zah_l(ii,ib,1,2)= zah_l(ii,ib,1,2)+vexx(ii,1)
                   zah_l(ii,ib,kimg,2)= zah_l(ii,ib,kimg,2)+vexx(ii,kimg)
                else
                   zah_l(ii,ib,1,itot+1)= zah_l(ii,ib,1,itot+1)+vexx(ii,1)
                   zah_l(ii,ib,kimg,itot+1)= zah_l(ii,ib,kimg,itot+1)+vexx(ii,kimg)
                endif
             enddo
          endif
          if( use_metagga .and. vtau_exists ) then
             do ii=1,iba(ik)
                if(sw_MRCV_only==ON)then
                   zah_l(ii,ib,1,2)= zah_l(ii,ib,1,2)+vtau_phl(ii,1)
                   zah_l(ii,ib,kimg,2)= zah_l(ii,ib,kimg,2)+vtau_phl(ii,kimg)
                else
                   zah_l(ii,ib,1,itot+1)= zah_l(ii,ib,1,itot+1)+vtau_phl(ii,1)
                   zah_l(ii,ib,kimg,itot+1)= zah_l(ii,ib,kimg,itot+1)+vtau_phl(ii,kimg)
                endif
             enddo
          endif
       endif
    enddo
    
    if(sw_hybrid_functional==ON) deallocate(vexx)
    if ( allocated(vtau_phl) ) deallocate( vtau_phl )

    call tstatc0_end(id_sname)

  contains
  
    subroutine get_ipri0(ipri_in, ipri_out)
      integer, intent(in)  :: ipri_in
      integer, intent(out) :: ipri_out
      if(npes > 1) then
         if(mype == 0) ipri_out = ipri_in
         call mpi_bcast(ipri_out,1,mpi_integer,0,mpi_k_world(myrank_k),ierr)
      else
         ipri_out = ipri_in
      end if
    end subroutine get_ipri0

  end subroutine prepare_Hloc_phi
  
  subroutine evolve_WFs_in_subspace   (ik,ispin,iblock,itot,frestart)
    integer, intent(in) :: ik,ispin
    integer, intent(in) :: iblock,itot
    logical, intent(out) :: frestart
! (allocatable variables)
    real(kind=DP), allocatable,dimension(:) ::     eig
    real(kind=DP), allocatable,dimension(:,:) ::   vec

    integer :: i,iel

    integer       :: ib1,ib2,ib1to,ib2to,i1,ii,ri,ib
    integer       :: ibb1,ibb2
    integer       :: ii1,ii2,iter,iter1,iter2
    real(kind=DP) :: eko1, eko2, ekod
    real(kind=DP) :: hr2,hi2,dr1,dr2,di1,di2,dd
    integer :: ip0,ip0b,ip1,ip1b,ib1n,ib2n,ndata,nshift,kimg_t,ig1
    integer :: noffset
    integer :: nsize_max_sb_now
    integer :: ierr_diag,ierr
    integer :: nel,nsta,nend
    integer :: ng
    integer :: id_sname = -1, ipri0
#ifdef DGEMM_PSUBSPACE
    integer :: num, k, lda, ldb, ldc
    real(kind=DP), allocatable, dimension(:,:) :: w1hw2_, w1sw2_
    real(kind=DP), allocatable, dimension(:,:,:) :: zat_t, zah_t
    real(kind=DP), allocatable, dimension(:,:) :: zat_t1, zah_t1
    complex(kind=DP), parameter :: c0 = (0.0d0, 0.0d0), c1 = (1.0d0, 0.0d0)
#endif
    call tstatc0_begin('evolve_WFs_in_subspace  ', id_sname,1)

    call get_ipri0(ipridavidson,ipri0)
    
    if(k_symmetry(ik) == GAMMA) then
       kimg_t = 1
    else
       kimg_t = kimg
    end if
    
    nel =ielm_e_l(iblock)
    nsta=ista_e_l(iblock)
    nend=iend_e_l(iblock)
    
    if(sw_divide_subspace==OFF)then
       nel=neg
       nsta=1
       nend=neg
    endif
    allocate(eko_d(neg));eko_d=0.d0
    allocate(occup(neg));occup=0
    if(sw_divide_subspace==ON)then
        zah_l_p => zah_l
        zat_l_p => zat_l
        fsr_p   => fsr
        fsi_p   => fsi
        feigconv_p => feigconv
        do iel=1,nel
!       eko_d(nsta+iel-1) = eko_l(iel,ik)
!       occup(nsta+iel-1) = occup_l(iel,ik)
           eko_d(nsta+iel-1) = eko_l(nsta+iel-1,ik)
           occup(nsta+iel-1) = occup_l(nsta+iel-1,ik)
        enddo
    else
        call do_transpose(ik,itot)
        call do_allreduce(ik)
        zah_l_p => zah_l_t
        zat_l_p => zat_l_t
        fsr_p   => fsr_t0
        fsi_p   => fsi_t0
        feigconv_p => feigconv_t
        eko_d = 0.d0
        occup = 0
        do iel=1,neg
           if(map_e(iel) == myrank_e) then         ! MPI
             eko_d(iel) = eko_l(map_z(iel),ik)
             occup(iel) = occup_l(map_z(iel),ik)
           endif
        enddo
        call mpi_allreduce(mpi_in_place,eko_d,neg,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr)
        call mpi_allreduce(mpi_in_place,occup,neg,mpi_integer,mpi_sum,mpi_k_world(myrank_k),ierr)
    endif
    if(ipridavidson>=2 .and. ik==1) write(nfout,'(" !### zaj_l is new,  bfft is old")')

    if(sw_MRCV_only==ON)then
       ip0=nel
       do ib=1,nel
         ibover(ib,iblock)=ib
         if(.not.feigconv_p(nsta+ib-1)) then
           ip0=ip0+1
           ibover(nel+ib,iblock) = ip0 
         else
           ibover(nel+ib,iblock) = -1
         end if
       end do
       nsize_sb_now = ip0
       nsize_mt_now = nsize_sb_now*(nsize_sb_now+1)/2
       nsize_max_sb_now = nsize_subspace(iblock)
    else
       if(itot==1) then
         do ib=1,nel
           ibover(ib,iblock)=ib
         end do
         nsize_subspace(iblock)=nel
       end if

       noffset=nel*itot
       ip0=nsize_subspace(iblock)
       do ib=1,nel
         if(.not.feigconv_p(nsta+ib-1)) then
           ip0=ip0+1
           ibover(noffset+ib,iblock) = ip0 
         else
           ibover(noffset+ib,iblock) = -1
         end if
       end do

       nsize_sb_now = ip0
       nsize_subspace(iblock) = ip0
       nsize_mt_now = nsize_sb_now*(nsize_sb_now+1)/2
       nsize_max_sb_now = nel*(itot+1)                   !nsize_subspace(iblock)
    endif
    
    if(ipridavidson >=2) then
       write(nfout,*) 'ibover=',ibover(1:nsize_max_sb_now,iblock)
    end if
!
    allocate(eig(nsize_sb_now)); eig=0.d0
    allocate(vec(nsize_sb_now*kimg_t,nsize_sb_now))

    if(ipridavidson >=2) then
       write(nfout,*) 'Modified Davidson:ik,iblock,nsize_sb_now=', ik,iblock,nsize_sb_now
    end if
    
    ng = iba(ik)
    if(sw_divide_subspace==OFF) ng = np_g1k(ik)
    eko1 = sum(eko_d(1:neg))
#ifdef DGEMM_PSUBSPACE
    allocate(w1hw2_(nsize_sb_now*kimg_t,nsize_sb_now))
    allocate(w1sw2_(nsize_sb_now*kimg_t,nsize_sb_now))

    if(kimg == 1) then
       if(sw_divide_subspace==OFF) then
         allocate(zah_t(np_g1k(ik),nsize_sb_now,1))
         allocate(zat_t(np_g1k(ik),nsize_sb_now,1))
       else
         allocate(zah_t(maxval(iba),nsize_sb_now,1))
         allocate(zat_t(maxval(iba),nsize_sb_now,1))
       endif
       num = 0
       do ibb1 = 1, nsize_max_sb_now
          if(ibover(ibb1,iblock) < 0) cycle
          iter1 = (ibb1-1)/nel+1
          ii1  = ibb1-nel*(iter1-1)
          ii1  = nsta+ii1-1
          num = num + 1
          zah_t(:,num,1) = zah_l_p(:,ii1,1,iter1)
          zat_t(:,num,1) = zat_l_p(:,ii1,1,iter1)
       end do
       if(sw_divide_subspace==OFF) then
         k = np_g1k(ik); lda = np_g1k(ik); ldb = np_g1k(ik); ldc = nsize_sb_now
       else
         k = iba(ik); lda = maxval(iba); ldb = maxval(iba); ldc = nsize_sb_now
       endif
       call dgemm('T','N',num,num,k,1.0d0,zat_t,lda,zah_t,ldb,0.0d0,w1hw2_,ldc)
       call dgemm('T','N',num,num,k,1.0d0,zat_t,lda,zat_t,ldb,0.0d0,w1sw2_,ldc)
    else
      if(k_symmetry(ik) == GAMMA) then
         if(sw_divide_subspace==OFF) then
           allocate(zah_t(np_g1k(ik),nsize_sb_now,kimg))
           allocate(zat_t(np_g1k(ik),nsize_sb_now,kimg))
         else
           allocate(zah_t(maxval(iba),nsize_sb_now,kimg))
           allocate(zat_t(maxval(iba),nsize_sb_now,kimg))
         endif
         if(ista_g1k(ik)==1) then
           allocate(zah_t1(nsize_sb_now,kimg))
           allocate(zat_t1(nsize_sb_now,kimg))
         endif
         num = 0
         do ibb1 = 1, nsize_max_sb_now
            if(ibover(ibb1,iblock) < 0) cycle
            iter1 = (ibb1-1)/nel+1
            ii1  = ibb1-nel*(iter1-1)
            ii1  = nsta+ii1-1
            num = num + 1
            zah_t(:,num,1) = zah_l_p(:,ii1,1,iter1)
            zah_t(:,num,2) = zah_l_p(:,ii1,2,iter1)
            zat_t(:,num,1) = zat_l_p(:,ii1,1,iter1)
            zat_t(:,num,2) = zat_l_p(:,ii1,2,iter1)
         end do
         if(ista_g1k(ik)==1) then
           zat_t1(:,:) = zat_t(1,:,:)
           zah_t1(:,:) = zah_t(1,:,:)
           zat_t(1,:,:) = zat_t(1,:,:)/sqrt(2.0d0)
           zah_t(1,:,:) = zah_t(1,:,:)/sqrt(2.0d0)
         endif
         if(sw_divide_subspace==ON) then
           k = iba(ik); lda = maxval(iba); ldb = maxval(iba); ldc = nsize_sb_now
         else
           k = np_g1k(ik); lda = np_g1k(ik); ldb = np_g1k(ik); ldc = nsize_sb_now
         endif
         call dgemm('T','N',num,num,k,2.0d0,zat_t(1,1,1),lda,zah_t(1,1,1),ldb,0.0d0,w1hw2_,ldc)
         call dgemm('T','N',num,num,k,2.0d0,zat_t(1,1,2),lda,zah_t(1,1,2),ldb,1.0d0,w1hw2_,ldc)
         call dgemm('T','N',num,num,k,2.0d0,zat_t(1,1,1),lda,zat_t(1,1,1),ldb,0.0d0,w1sw2_,ldc)
         call dgemm('T','N',num,num,k,2.0d0,zat_t(1,1,2),lda,zat_t(1,1,2),ldb,1.0d0,w1sw2_,ldc)
         if(ista_g1k(ik)==1) then
           zat_t(1,:,:) = zat_t1(:,:)
           zah_t(1,:,:) = zah_t1(:,:)
           deallocate(zah_t1)
           deallocate(zat_t1)
         endif
      else
         if(sw_divide_subspace==OFF) then
           allocate(zah_t(np_g1k(ik)*kimg,nsize_sb_now,1))
           allocate(zat_t(np_g1k(ik)*kimg,nsize_sb_now,1))
         else
           allocate(zah_t(maxval(iba)*kimg,nsize_sb_now,1))
           allocate(zat_t(maxval(iba)*kimg,nsize_sb_now,1))
         endif
         num = 0
         do ibb1 = 1, nsize_max_sb_now
            if(ibover(ibb1,iblock) < 0) cycle
            iter1 = (ibb1-1)/nel+1
            ii1  = ibb1-nel*(iter1-1)
            ii1  = nsta+ii1-1
            num = num + 1
            do ii = 1, ng
               zah_t(2*ii-1,num,1) = zah_l_p(ii,ii1,1,iter1)
               zah_t(2*ii,  num,1) = zah_l_p(ii,ii1,2,iter1)
               zat_t(2*ii-1,num,1) = zat_l_p(ii,ii1,1,iter1)
               zat_t(2*ii,  num,1) = zat_l_p(ii,ii1,2,iter1)
            end do
         end do
         if(sw_divide_subspace==ON) then
           k = iba(ik); lda = maxval(iba); ldb = maxval(iba); ldc = nsize_sb_now
         else
           k = np_g1k(ik); lda = np_g1k(ik); ldb = np_g1k(ik); ldc = nsize_sb_now
         endif
         call zgemm('C','N',num,num,k,c1,zat_t,lda,zah_t,ldb,c0,w1hw2_,ldc)
         call zgemm('C','N',num,num,k,c1,zat_t,lda,zat_t,ldb,c0,w1sw2_,ldc)
         
      end if
    end if
#else
!! (make matrix elements )
!    ! <n|T+Vloc|m> !
    do ibb2 = 1,nsize_max_sb_now
       if(ibover(ibb2,iblock)<0) cycle
       ib2 = ibover(ibb2,iblock)
       iter2 = (ibb2-1)/nel+1
       ii2  = ibb2-nel*(iter2-1)
       ii2  = nsta+ii2-1
       ip0b = ib2*(ib2-1)/2
       do ibb1 = 1,ibb2
          if(ibover(ibb1,iblock)<0) cycle
          ib1 = ibover(ibb1,iblock)
          iter1 = (ibb1-1)/nel+1
          ii1 = ibb1-nel*(iter1-1)
          ii1 = nsta+ii1-1
          ip0 = ip0b + ib1
          if(kimg == 1) then
             w1hw2(ip0) = 0.d0
             w1sw2(ip0) = 0.d0
!!!             do ii = 1, iba(ik)            ! MPI
             do ii = 1, ng            ! MPI
                hr2 = zah_l_p(ii,ii2,1,iter2)
                dr2 = zat_l_p(ii,ii2,1,iter2)
                dr1 = zat_l_p(ii,ii1,1,iter1)
                w1hw2(ip0) = w1hw2(ip0) + dr1*hr2
                w1sw2(ip0) = w1sw2(ip0) + dr1*dr2
             end do
          else
             if(k_symmetry(ik) == GAMMA) then
                w1hw2(ip0) = 0.d0
                w1sw2(ip0) = 0.d0
!!$                ig1 = 1;  if(mype == 0) ig1 = 2
!!                ig1 = 1;  if(myrank_e == 0) ig1 = 2
                if(sw_divide_subspace==OFF)then
                   ig1 = 1;  if(myrank_e == 0) ig1 = 2
                else
                   ig1 = 2
                endif
!!                do ii = ig1, iba(ik)            ! MPI
                do ii = ig1, ng            ! MPI
                   hr2 = zah_l_p(ii,ii2,1,iter2) ! MPI
                   hi2 = zah_l_p(ii,ii2,2,iter2) ! MPI
                   dr2 = zat_l_p(ii,ii2,1,iter2) ! MPI
                   di2 = zat_l_p(ii,ii2,2,iter2) ! MPI
                   dr1 = zat_l_p(ii,ii1,1,iter1) ! MPI
                   di1 = zat_l_p(ii,ii1,2,iter1) ! MPI
                   w1hw2(ip0) =w1hw2(ip0)+(dr1*hr2+di1*hi2)*2.d0
                   w1sw2(ip0) =w1sw2(ip0)+(dr1*dr2+di1*di2)*2.d0
                end do
!!$                if(mype == 0) then
                if(sw_divide_subspace==ON .or. myrank_e == 0) then
                   hr2 = zah_l_p(1,ii2,1,iter2) ! MPI
                   hi2 = zah_l_p(1,ii2,2,iter2) ! MPI
                   dr2 = zat_l_p(1,ii2,1,iter2) ! MPI
                   di2 = zat_l_p(1,ii2,2,iter2) ! MPI
                   dr1 = zat_l_p(1,ii1,1,iter1) ! MPI
                   di1 = zat_l_p(1,ii1,2,iter1) ! MPI
                   w1hw2(ip0) =w1hw2(ip0)+dr1*hr2+di1*hi2
                   w1sw2(ip0) =w1sw2(ip0)+dr1*dr2+di1*di2
                endif
             else
                w1hw2(2*ip0-1:2*ip0) = 0.d0
                w1sw2(2*ip0-1:2*ip0) = 0.d0
!!                do ii = 1, iba(ik)           ! MPI
                do ii = 1, ng           ! MPI
                   hr2 = zah_l_p(ii,ii2,1,iter2) ! MPI
                   hi2 = zah_l_p(ii,ii2,2,iter2) ! MPI
                   dr2 = zat_l_p(ii,ii2,1,iter2) ! MPI
                   di2 = zat_l_p(ii,ii2,2,iter2) ! MPI
                   dr1 = zat_l_p(ii,ii1,1,iter1) ! MPI
                   di1 = zat_l_p(ii,ii1,2,iter1) ! MPI
                   w1hw2(2*ip0-1) =w1hw2(2*ip0-1)+dr1*hr2+di1*hi2
                   w1hw2(2*ip0  ) =w1hw2(2*ip0  )+dr1*hi2-di1*hr2
                   w1sw2(2*ip0-1) =w1sw2(2*ip0-1)+dr1*dr2+di1*di2
                   w1sw2(2*ip0  ) =w1sw2(2*ip0  )+dr1*di2-di1*dr2
                end do
             end if
          end if
       end do
    end do
#endif
    if(ipridavidson >= 3 .and. ik == 1 .and. iblock == 1) call wd_w1hw2(" -- w1hw2 without nl part--",iblock)
#ifdef DGEMM_PSUBSPACE
    if(sw_divide_subspace==OFF .and. npes>1) then
       call mpi_allreduce(mpi_in_place,w1hw2_,nsize_sb_now*kimg_t*nsize_sb_now,mpi_double_precision, &
                          mpi_sum,mpi_k_world(myrank_k),ierr)
       call mpi_allreduce(mpi_in_place,w1sw2_,nsize_sb_now*kimg_t*nsize_sb_now,mpi_double_precision, &
                          mpi_sum,mpi_k_world(myrank_k),ierr)
    endif
#endif
    ! <n|Vnl|m> 
    call add_nonlocal_part ! w1hw2 = w1hw2 + w1Vnlw2
                           ! w1sw2 = w1sw2 + w1qw2
    if(ipridavidson >= 3 .and. ik == 1 .and. iblock == 1) call wd_w1hw2(" -- w1hw2 with nl part--",iblock)

!    if(k_symmetry(ik)==GAMMA) then
!
!!$    if(ipridavidson >= 2) call wd_w1hw2(" -- just after making w1hw2 --",iblock)

#ifndef DGEMM_PSUBSPACE
    if(sw_divide_subspace==OFF .and. npes>1)then
       w1hw2_mpi = 0.d0
       w1sw2_mpi = 0.d0
       call mpi_allreduce(w1hw2,w1hw2_mpi,msize_matrix*kimg_t,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr)
       w1hw2 = w1hw2_mpi
       call mpi_allreduce(w1sw2,w1sw2_mpi,msize_matrix*kimg_t,mpi_double_precision,mpi_sum,mpi_k_world(myrank_k),ierr)
       w1sw2 = w1sw2_mpi
    endif
#endif

!    if(ipridavidson >= 2) then
!       write(nfout,*) 'neordr for ik = ',ik
!       write(nfout,9002) (neordr(ib1,ik),ib1=1,neg)
!       write(nfout,*) 'nrvf_ordr for ik = ',ik
!       write(nfout,9002) (nrvf_ordr(ib1,ik),ib1=1,neg)
!       write(nfout,*) 'eig'
!       write(nfout,'(5x,10f8.4)') (eko_l(ib1,ik),ib1=1,np_e)
!    endif
!9002 format(5x,10i8)

!! (Diagonalization )  !!

    if(ipridavidson >= 2 .and. ik == 1 .and. iblock == 1) then
       call wd_w1hw2(" -- w1hw2 after reduction --",iblock)
       ekod = 0.d0
       eko1 = 0.d0
       if(kimg_t == 1) then
          do ib1 = 1, msize_matrix
             ekod = ekod + w1hw2(ib1)*w1hw2(ib1)
             eko1 = eko1 + w1sw2(ib1)*w1sw2(ib1)
          end do
       else
          do ib1 = 1, msize_matrix
             ekod = ekod + (w1hw2(ib1*2-1)*w1hw2(ib1*2-1) +  w1hw2(ib1*2)*w1hw2(ib1*2))
             eko1 = eko1 + (w1sw2(ib1*2-1)*w1sw2(ib1*2-1) +  w1sw2(ib1*2)*w1sw2(ib1*2))
          end do
       end if
       write(nfout,'(" sum_of_square(w1hw2), sum_of_square(w1sw2) = ",2d20.6, " msize_matrix = ",i8)') ekod, eko1, msize_matrix
    end if
       
#ifdef DGEMM_PSUBSPACE
    if(kimg_t == 1) then
       call dsygvx_driver(eig, vec, w1hw2_, w1sw2_, ierr_diag, nel)
    else
       call zhegvx_driver(eig, vec, w1hw2_, w1sw2_, ierr_diag, nel)
    endif
#else
    if(kimg_t == 1) then
       call dspgvx_driver_loc(eig,vec,w1hw2,w1sw2,ierr_diag,nel)
       if(ipridavidson >= 2 .and. ik == 1 .and. iblock == 1) then
          write(nfout,'(" -- eig , ik = ",i8," iblock = ",i8)') ik, iblock
          write(nfout,'(5x,6f12.5)') (eig(ib),ib=1,nel)
          write(nfout,'(" -- vec --")')
          do ib = 1, nel
             write(nfout,'(" ib = ", i8, " eig = ",f12.5)') ib,eig(ib)
             write(nfout,'(5x,6f12.6)') vec(1:6,ib)
          end do
       end if
    else
       call zhpgvx_driver(eig,vec,w1hw2,w1sw2,ierr_diag,nel)
    endif
#endif

    if(ipridavidson >= 2 .and. ik == 1 .and. iblock == 1) call wd_w1hw2(" -- w1hw2 after dspgvx_driv_",iblock)

    frestart = .false.
    if(ierr_diag /= 0) then
!       zaj_l(:,:,ik,:) = zaj_l_backup(:,:,:)
!       do ib1 = 1, neg
!          if(map_e(ib1) == myrank_e) then         ! MPI
!             eko_l(map_z(ib1),ik)=eko_d(ib1)
!          end if
!       end do
      frestart = .true.
! === DEBUG by T.Kato 2013/08/01 ===============================================
!     do i=1,np_e
      if(sw_divide_subspace==OFF) then
        call m_ES_W_transpose_back_r(.false.,ista_k,iend_k,ik,zaj_l,zat_l_t(1,1,1,1))
      else
        do i=1,nel
! ==============================================================================
           zaj_l(:,i-1+nsta,ik,:)=zat_l(:,i,:,1)
        enddo
      endif
#ifdef SAVE_FFT_TIMES
      if(sw_save_fft == ON) then
         do i=1,nel
            status_saved_phifftr(i-1+nsta,ik) = OLD
         end do
      end if
#endif
      if(ipridavidson >= 2) then
        write(nfout,*) '** restart Modified Davidson iteration **'
        write(nfout,*) 'ik=',ik,' iblock=',iblock,' itot=',itot
      end if
      write(nfout,*) '** restart Modified Davidson **'
      write(nfout,*) 'ik=',ik,' iblock=',iblock,' itot=',itot
      call wd_w1hw2(" -- restart Modified Davidson iteration --",iblock)
!!$ print *,'Restart'
      goto 9000
    else

      feigconv_p(nsta:nend) = .false.
      do ib=1,nel
         if(occup(nsta+ib-1) > 0.d0) then
            if(abs(eko_d(nsta+ib-1)-eig(ib)) < delta_eig_occup) &
                                                   feigconv_p(nsta+ib-1) = .true.
            if(feigconv_p(nsta+ib-1)) icountocc=icountocc+1
         else
            if(abs(eko_d(nsta+ib-1)-eig(ib)) < delta_eig_empty) &
                                                   feigconv_p(nsta+ib-1) = .true.
            if(feigconv_p(nsta+ib-1)) icountuocc=icountuocc+1
         end if
      end do 
      if(ipri0 >= 2) then
         if(ik == 1 .and. iblock == 1) then
            write(nfout,*) 'eko_l for ik = ',ik
            write(nfout,*) 'iblock       = ',iblock
            write(nfout,9001) (eko_d(nsta+ib-1),ib=1,nel)
            write(nfout,*) 'eig for ik = ',ik
            write(nfout,9001) (eig(ib),ib=1,nel)
            if(ik == 1 .and. iblock == 1) call wd_w1hw2(" -- w1hw2 with nl part--",iblock)
            call wd_w1hw2(" -- after diagonalization --",iblock)
!sum eko
            dr1=0.d0;dr2=0.d0
            do ib1=1,nel
               dr1=dr1+eko_d(nsta+ib1-1) ! MPI
               dr2=dr2+eig(ib1)
            enddo
            write(nfout,'(" sum of eko_l, eig, abs diff =",3e25.10)') dr1,dr2,abs(dr2-dr1)
         end if
      endif
    endif

#ifdef DGEMM_PSUBSPACE
    deallocate(w1hw2_)
    deallocate(w1sw2_)
#endif

!!! (subspace rotation) !!
       call subspace_rotation ! vec,zat_l -> zat_l
       if(ipridavidson>=2 .and. ik==1 .and. iblock == 1) write(nfout,'(" !### zaj_l is new,  bfft is old")')
!!( tenchi ) (zaj_l <- zat_l)
!       iter = min(idavid+1,ndavid)
!       call m_ES_W_transpose_back(ista_k,iend_k,ik,zaj_l,zat_l(1,1,1,iter))
!!       zaj_l_backup(:,nsta:nend,:) = zaj_l(:,nsta:nend,ik,:)
!! (eko_l)
    if(sw_divide_subspace==ON)then
       do ib1 = 1, nel
          eko_l(nsta+ib1-1,ik)=eig(ib1)
       end do
    else
       do ib1 = 1,neg
          if(map_e(ib1)==myrank_e) eko_l(map_z(ib1),ik) = eig(ib1)
       enddo
    endif

    if(ipridavidson >= 2) then
       if(ik == 1 .and. iblock == 1) then
          eko2 = sum(eig(1:nel))
          write(nfout,1201) ik,eko1,eko2

          write(nfout,*) 'eko_l'
          write(nfout,9001) (eko_d(nsta+ib1-1),ib1=1,nel)
       end if
    endif

1201 format(' %% for ik = ',i4,4x,' eko1&ekod&eko2 = ',3f14.7)
9001 format(5x,6f12.5)
!!! (neordr & nrvf_ordr)
!
9000 continue
!    neordr(1:neg,ik) = (/(ib1,ib1=1,neg)/)
!    nrvf_ordr(1:neg,ik) = (/(ib1,ib1=1,neg)/)
!
!! (deallocate)  
#ifdef DGEMM_PSUBSPACE
    deallocate(zah_t)
    deallocate(zat_t)
#endif
    deallocate(eko_d)
    deallocate(occup)

    deallocate(eig)
    deallocate(vec)
    nullify(zah_l_p,zat_l_p,fsr_p,fsi_p,feigconv_p)
!
    call tstatc0_end(id_sname)
!
  contains
    subroutine get_ipri0(ipri_in, ipri_out)
      integer, intent(in)  :: ipri_in
      integer, intent(out) :: ipri_out
      if(npes > 1) then
         if(mype == 0) ipri_out = ipri_in
         call mpi_bcast(ipri_out,1,mpi_integer,0,mpi_k_world(myrank_k),ierr)
      else
         ipri_out = ipri_in
      end if
    end subroutine get_ipri0
!
    subroutine wd_w1hw2(somecomment,iblock)
      character(len=*), intent(in) :: somecomment
      integer,intent(in) :: iblock
      integer :: ib1, ib2, nel_wd, nsb_wd
#ifndef DGEMM_PSUBSPACE
      write(nfout,'(a35)') somecomment
      write(nfout,*) 'w1hw2 for ik = ',ik
      nel_wd = 8
      nsb_wd = 8
      if(nel_wd > nel) nel_wd = nel
      if(nsb_wd > nsize_sb_now) nsb_wd = nsize_sb_now
      if(kimg_t==1) then
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1hw2(ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      else
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1hw2(2*ip0-1),ip0=ip0b+1,ip0b+ib2)
         end do
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1hw2(2*ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      end if
      write(nfout,*) 'w1sw2 for ik = ',ik
      if(kimg_t==1) then
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1sw2(ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      else
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1sw2(2*ip0-1),ip0=ip0b+1,ip0b+ib2)
         end do
         do ib2=1,nsb_wd
            ip0b = ib2*(ib2-1)/2
            write(nfout,9001) (w1sw2(2*ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      end if
9001  format(5x,9f12.5)
      if(sw_divide_subspace==ON) then
        write(nfout,*) 'eko_l for ik = ',ik
        write(nfout,9001) (eko_l(nsta+ib1-1,ik),ib1=1,nel_wd)
      endif
#else
      write(nfout,'(a35)') somecomment
      write(nfout,*) 'w1hw2 for ik = ',ik
      nel_wd = 8
      nsb_wd = 8
      if(nel_wd > nel) nel_wd = nel
      if(nsb_wd > nsize_sb_now) nsb_wd = nsize_sb_now
      if(kimg_t==1) then
         do ib2=1,nsb_wd
            ip0b = ib2
            write(nfout,9001) (w1hw2_(ib2,ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      else
         do ib2=1,nsb_wd
            ip0b = ib2
            write(nfout,9001) (w1hw2_(2*ib2-1,ip0),ip0=ip0b+1,ip0b+ib2)
         end do
         do ib2=1,nsb_wd
            ip0b = ib2
            write(nfout,9001) (w1hw2_(2*ib2,ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      end if
      write(nfout,*) 'w1sw2 for ik = ',ik
      if(kimg_t==1) then
         do ib2=1,nsb_wd
            ip0b = ib2
            write(nfout,9001) (w1sw2_(ib2,ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      else
         do ib2=1,nsb_wd
            ip0b = ib2
            write(nfout,9001) (w1sw2_(2*ib2-1,ip0),ip0=ip0b+1,ip0b+ib2)
         end do
         do ib2=1,nsb_wd
            ip0b = ib2
            write(nfout,9001) (w1sw2_(2*ib2,ip0),ip0=ip0b+1,ip0b+ib2)
         end do
      end if
9001  format(5x,9f12.5)
      if(sw_divide_subspace==ON) then
        write(nfout,*) 'eko_l for ik = ',ik
        write(nfout,9001) (eko_l(nsta+ib1-1,ik),ib1=1,nel_wd)
      endif
#endif
    end subroutine wd_w1hw2

    subroutine add_nonlocal_part
      integer :: ip,ib1,ib2,ibb1,ibb2
      integer       :: ia, lmt1, lmt2, it, p, s, ib
      real(kind=DP) :: facv,facq,vr,vi,qr,qi
      real(kind=DP) :: tmpr,tmpi
! ========================== added by K. Tagami ========== 11.0
#ifdef forsafe
      integer :: ipaw_tmp
#endif
! ======================================================== 11.0
#ifdef DGEMM_PSUBSPACE
!      real(kind=DP), dimension(nlmta,nel,itot+1) :: fsr_t, fsr_v, fsr_q
!      real(kind=DP), dimension(nlmta,nel,itot+1) :: fsi_t, fsi_v, fsi_q
      real(kind=DP), allocatable, dimension(:,:,:) :: fsr_t, fsr_v, fsr_q
      real(kind=DP), allocatable, dimension(:,:,:) :: fsi_t, fsi_v, fsi_q
      real(kind=DP), allocatable, dimension(:,:) :: fsr_tt, fsr_vt, fsr_qt
      real(kind=DP), allocatable, dimension(:,:) :: fsi_tt, fsi_vt, fsi_qt
      integer :: iter, ncount, i,itot0
      itot0 = itot
      if(sw_MRCV_only==ON) itot0 = 1
      allocate(fsr_t(nlmta,nel,itot+1))
      allocate(fsr_v(nlmta,nel,itot+1))
      allocate(fsr_q(nlmta,nel,itot+1))
      allocate(fsi_t(nlmta,nel,itot+1))
      allocate(fsi_v(nlmta,nel,itot+1))
      allocate(fsi_q(nlmta,nel,itot+1))
      if(kimg == 1) then
         fsr_v = 0.0d0
         fsr_q = 0.0d0
         fsi_v = 0.0d0
         fsi_q = 0.0d0
         do iter = 1, itot0+1
            ncount = 0
            do ia = 1,natm
               it = ityp(ia)
               do lmt1 = 1, ilmt(it)
                  ncount = ncount + 1
                  p = lmta(lmt1,ia)
                  do ibb1 = 1, nel
                     ibb2 = nsta+ibb1-1
                     fsr_t(ncount,ibb1,iter) = fsr_p(ibb2,p,iter)
                     fsi_t(ncount,ibb1,iter) = fsi_p(ibb2,p,iter)
                  end do ! ibb1
                  do lmt2 = 1, ilmt(it)
                     s = lmta(lmt2,ia)
                     if(ipaw(it) == 0)then
                        facv   = iwei(ia)*(dion(lmt1,lmt2,it) + vlhxcQ(lmt1,lmt2,ia,ispin))
                     else
                        facv   = iwei(ia)*(dion_paw(lmt1,lmt2,ispin,ia) + vlhxcQ(lmt1,lmt2,ia,ispin))
                     endif
                     facq   = iwei(ia)*q(lmt1,lmt2,it)
                     do ibb1 = 1, nel
                        ibb2 = nsta+ibb1-1
                        fsr_v(ncount,ibb1,iter) = fsr_v(ncount,ibb1,iter) + facv*fsr_p(ibb2,s,iter)
                        fsr_q(ncount,ibb1,iter) = fsr_q(ncount,ibb1,iter) + facq*fsr_p(ibb2,s,iter)
                        fsi_v(ncount,ibb1,iter) = fsi_v(ncount,ibb1,iter) + facv*fsi_p(ibb2,s,iter)
                        fsi_q(ncount,ibb1,iter) = fsi_q(ncount,ibb1,iter) + facq*fsi_p(ibb2,s,iter)
                     end do ! ibb1
                  end do ! lmt2
               end do ! lmt1
            end do ! ia
         end do ! iter
         allocate(fsr_tt(ncount,nsize_sb_now))
         allocate(fsr_vt(ncount,nsize_sb_now))
         allocate(fsr_qt(ncount,nsize_sb_now))
         allocate(fsi_tt(ncount,nsize_sb_now))
         allocate(fsi_vt(ncount,nsize_sb_now))
         allocate(fsi_qt(ncount,nsize_sb_now))
         num = 0
         do ibb1 = 1, nsize_max_sb_now
            if(ibover(ibb1,iblock)<0) cycle
            iter1=(ibb1-1)/nel+1
            ii1  = ibb1-nel*(iter1-1)
            num = num + 1
            fsr_tt(1:ncount,num) = fsr_t(1:ncount,ii1,iter1)
            fsr_vt(1:ncount,num) = fsr_v(1:ncount,ii1,iter1)
            fsr_qt(1:ncount,num) = fsr_q(1:ncount,ii1,iter1)
            fsi_tt(1:ncount,num) = fsi_t(1:ncount,ii1,iter1)
            fsi_vt(1:ncount,num) = fsi_v(1:ncount,ii1,iter1)
            fsi_qt(1:ncount,num) = fsi_q(1:ncount,ii1,iter1)
         end do
         ldc = nsize_sb_now
         if(ncount>0)then
            call dgemm('T','N',num,num,ncount,1.0d0,fsr_tt,ncount,fsr_vt,ncount,1.0d0,w1hw2_,ldc)
            call dgemm('T','N',num,num,ncount,1.0d0,fsi_tt,ncount,fsi_vt,ncount,1.0d0,w1hw2_,ldc)
            call dgemm('T','N',num,num,ncount,1.0d0,fsr_tt,ncount,fsr_qt,ncount,1.0d0,w1sw2_,ldc)
            call dgemm('T','N',num,num,ncount,1.0d0,fsi_tt,ncount,fsi_qt,ncount,1.0d0,w1sw2_,ldc)
         endif
         deallocate(fsr_tt)
         deallocate(fsr_vt)
         deallocate(fsr_qt)
         deallocate(fsi_tt)
         deallocate(fsi_vt)
         deallocate(fsi_qt)
      else ! if(kimg == 1)
         if(k_symmetry(ik) == GAMMA) then
            fsr_v = 0.0d0
            fsr_q = 0.0d0
            do iter = 1, itot0+1
               ncount = 0
               do ia = 1, natm
                  it = ityp(ia)
                  do lmt1 = 1, ilmt(it)
                     ncount = ncount + 1
                     p = lmta(lmt1,ia)
                     do ibb1 = 1, nel
                        ibb2 = nsta+ibb1-1
                        fsr_t(ncount,ibb1,iter) = fsr_p(ibb2,p,iter)
                     end do ! ibb1
                     do lmt2 = 1, ilmt(it)
                        s = lmta(lmt2,ia)
                        if(ipaw(it) == 0)then
                           facv   = iwei(ia)*(dion(lmt1,lmt2,it) + vlhxcQ(lmt1,lmt2,ia,ispin))
                        else
                           facv   = iwei(ia)*(dion_paw(lmt1,lmt2,ispin,ia) + vlhxcQ(lmt1,lmt2,ia,ispin))
                        endif
                        facq   = iwei(ia)*q(lmt1,lmt2,it)
                        do ibb1 = 1, nel
                           ibb2 = nsta+ibb1-1
                           fsr_v(ncount,ibb1,iter) = fsr_v(ncount,ibb1,iter) + facv*fsr_p(ibb2,s,iter)
                           fsr_q(ncount,ibb1,iter) = fsr_q(ncount,ibb1,iter) + facq*fsr_p(ibb2,s,iter)
                        end do ! ibb1
                     end do ! lmt2
                  end do ! lmt1
               end do ! ia
            end do ! iter
            allocate(fsr_tt(ncount,nsize_sb_now))
            allocate(fsr_vt(ncount,nsize_sb_now))
            allocate(fsr_qt(ncount,nsize_sb_now))
            num = 0
            do ibb1 = 1, nsize_max_sb_now
               if(ibover(ibb1,iblock)<0) cycle
               iter1=(ibb1-1)/nel+1
               ii1  = ibb1-nel*(iter1-1)
               num = num + 1
               fsr_tt(1:ncount,num) = fsr_t(1:ncount,ii1,iter1)
               fsr_vt(1:ncount,num) = fsr_v(1:ncount,ii1,iter1)
               fsr_qt(1:ncount,num) = fsr_q(1:ncount,ii1,iter1)
            end do
            ldc = nsize_sb_now
            if(ncount>0) then
               call dgemm('T','N',num,num,ncount,1.0d0,fsr_tt,ncount,fsr_vt,ncount,1.0d0,w1hw2_,ldc)
               call dgemm('T','N',num,num,ncount,1.0d0,fsr_tt,ncount,fsr_qt,ncount,1.0d0,w1sw2_,ldc)
            end if
            deallocate(fsr_tt)
            deallocate(fsr_vt)
            deallocate(fsr_qt)
         else ! if(k_symmetry(ik) == GAMMA)
            fsr_v = 0.0d0
            fsr_q = 0.0d0
            fsi_v = 0.0d0
            fsi_q = 0.0d0
            do iter = 1, itot0+1
               ncount = 0
               do ia = 1, natm
                  it = ityp(ia)
                  do lmt1 = 1, ilmt(it)
                     ncount = ncount + 1
                     p = lmta(lmt1,ia)
                     do ibb1 = 1, nel
                        ibb2 = nsta+ibb1-1
                        fsr_t(ncount,ibb1,iter) = fsr_p(ibb2,p,iter)
                        fsi_t(ncount,ibb1,iter) = fsi_p(ibb2,p,iter)
                     end do ! ibb1
                     do lmt2 = 1, ilmt(it)
                        s = lmta(lmt2,ia)
                        if(ipaw(it) == 0)then
                           facv   = iwei(ia)*(dion(lmt1,lmt2,it) + vlhxcQ(lmt1,lmt2,ia,ispin))
                        else
                           facv   = iwei(ia)*(dion_paw(lmt1,lmt2,ispin,ia) + vlhxcQ(lmt1,lmt2,ia,ispin))
                        endif
                        facq   = iwei(ia)*q(lmt1,lmt2,it)
                        do ibb1 = 1, nel
                           ibb2 = nsta+ibb1-1
                           fsr_v(ncount,ibb1,iter) = fsr_v(ncount,ibb1,iter) + facv*fsr_p(ibb2,s,iter)
                           fsr_q(ncount,ibb1,iter) = fsr_q(ncount,ibb1,iter) + facq*fsr_p(ibb2,s,iter)
                           fsi_v(ncount,ibb1,iter) = fsi_v(ncount,ibb1,iter) + facv*fsi_p(ibb2,s,iter)
                           fsi_q(ncount,ibb1,iter) = fsi_q(ncount,ibb1,iter) + facq*fsi_p(ibb2,s,iter)
                        end do ! ibb1
                     end do ! lmt2
                  end do ! lmt1
               end do ! ia
            end do ! iter
            allocate(fsr_tt(ncount*kimg,nsize_sb_now))
            allocate(fsr_vt(ncount*kimg,nsize_sb_now))
            allocate(fsr_qt(ncount*kimg,nsize_sb_now))
            num = 0
            do ibb1 = 1, nsize_max_sb_now
               if(ibover(ibb1,iblock)<0) cycle
               iter1=(ibb1-1)/nel+1
               ii1  = ibb1-nel*(iter1-1)
               num = num + 1
               do i = 1, ncount
                  fsr_tt(i*2-1,num) = fsr_t(i,ii1,iter1)
                  fsr_tt(i*2,  num) = fsi_t(i,ii1,iter1)
                  fsr_vt(i*2-1,num) = fsr_v(i,ii1,iter1)
                  fsr_vt(i*2,  num) = fsi_v(i,ii1,iter1)
                  fsr_qt(i*2-1,num) = fsr_q(i,ii1,iter1)
                  fsr_qt(i*2,  num) = fsi_q(i,ii1,iter1)
               end do
            end do
            ldc = nsize_sb_now
            if(ncount>0)then
               call zgemm('C','N',num,num,ncount,c1,fsr_tt,ncount,fsr_vt,ncount,c1,w1hw2_,ldc)
               call zgemm('C','N',num,num,ncount,c1,fsr_tt,ncount,fsr_qt,ncount,c1,w1sw2_,ldc)
            endif
            deallocate(fsr_tt)
            deallocate(fsr_vt)
            deallocate(fsr_qt)
         end if ! if(k_symmetry(ik) == GAMMA)
      end if ! if(kimg == 1)
      deallocate(fsr_t)
      deallocate(fsr_v)
      deallocate(fsr_q)
      deallocate(fsi_t)
      deallocate(fsi_v)
      deallocate(fsi_q)
#else
      do ibb2 = 1,nsize_max_sb_now
         if(ibover(ibb2,iblock)<0) cycle
         ib2 = ibover(ibb2,iblock)
         iter2= (ibb2-1)/nel+1
         ii2  = ibb2-nel*(iter2-1)
         ii2  = nsta+ii2-1
         ip0b = ib2*(ib2-1)/2
         do ibb1 = 1,ibb2
            if(ibover(ibb1,iblock)<0) cycle
            ib1 = ibover(ibb1,iblock)
            iter1=(ibb1-1)/nel+1
            ii1  = ibb1-nel*(iter1-1)
            ii1  = nsta+ii1-1
            ip0 = ip0b + ib1
!            if(mod(ip0-1,nrank_e)/=myrank_e) cycle
            if(mod(ip0-1,nrank_e)/=myrank_e.and.sw_divide_subspace==OFF) cycle
            if(kimg_t==1) then
               vr=0.d0
               qr=0.d0
            else
               vr=0.d0
               vi=0.d0
               qr=0.d0
               qi=0.d0
            end if
            do ia = 1, natm
               it = ityp(ia)
! ========================== added by K. Tagami =================== 11.0
#ifdef forsafe
               ipaw_tmp = ipaw(it)
#endif
! ================================================================= 11.0
               do lmt1 = 1, ilmt(it)
                  p = lmta(lmt1,ia)
!OCL NOPREEX
                  do lmt2 = 1, ilmt(it)
                     s = lmta(lmt2,ia)
! ========================== modified by K. Tagami =================== 11.0
!                     if(ipaw(it)==0)then
#ifdef forsafe
                     if ( ipaw_tmp == 0 ) then
#else
                     if (ipaw(it)==0 ) then
#endif
! ================================================================= 11.0
                        facv   = iwei(ia)*(dion(lmt1,lmt2,it) + vlhxcQ(lmt1,lmt2,ia,ispin))
                     else
                        facv   = iwei(ia)*(dion_paw(lmt1,lmt2,ispin,ia) + vlhxcQ(lmt1,lmt2,ia,ispin))
                     endif
                     facq   = iwei(ia)*q(lmt1,lmt2,it)
                     if(kimg==1) then
                        tmpr = fsr_p(ii1,p,iter1)*fsr_p(ii2,s,iter2)&
                    &        + fsi_p(ii1,p,iter1)*fsi_p(ii2,s,iter2)
                        vr = vr + facv*tmpr
                        qr = qr + facq*tmpr
                     else
                        if(k_symmetry(ik) == GAMMA) then
                           tmpr = fsr_p(ii1,p,iter1)*fsr_p(ii2,s,iter2)
                           vr = vr + facv*tmpr
                           qr = qr + facq*tmpr
                        else
                           tmpr = fsr_p(ii1,p,iter1)*fsr_p(ii2,s,iter2)&
                    &        + fsi_p(ii1,p,iter1)*fsi_p(ii2,s,iter2)
                           tmpi = fsr_p(ii1,p,iter1)*fsi_p(ii2,s,iter2)&
                    &        - fsi_p(ii1,p,iter1)*fsr_p(ii2,s,iter2)
                           vr = vr + facv*tmpr
                           vi = vi + facv*tmpi
                           qr = qr + facq*tmpr
                           qi = qi + facq*tmpi
                        end if
                     end if
                  end do
               end do
            end do
            if(kimg_t==1) then
               w1hw2(ip0) = w1hw2(ip0) + vr
               w1sw2(ip0) = w1sw2(ip0) + qr
            else
               w1hw2(2*ip0-1) = w1hw2(2*ip0-1) + vr
               w1hw2(2*ip0  ) = w1hw2(2*ip0  ) + vi
               w1sw2(2*ip0-1) = w1sw2(2*ip0-1) + qr
               w1sw2(2*ip0  ) = w1sw2(2*ip0  ) + qi
            end if
         end do
      end do
#endif
    end subroutine add_nonlocal_part


    subroutine subspace_rotation
      integer :: ib1,ib2,ibb2
!!$      real(kind=DP), dimension(np_g1k_x,neg,kimg) :: zaj_wk
      real(kind=DP), allocatable, dimension(:,:,:) :: zaj_wk
      real(kind=DP), allocatable, dimension(:,:,:) :: zah_wk
      real(kind=DP), allocatable, dimension(:,:,:,:) :: zah_wk2
      real(kind=DP), allocatable, dimension(:,:)   :: fsr_wk
      real(kind=DP), allocatable, dimension(:,:)   :: fsi_wk
      integer :: ngsize,ngsizel
#ifdef DGEMM_PSUBSPACE
      integer :: i,is
      real(kind=DP), allocatable, dimension(:,:)   :: fsr_t, fsi_t
      real(kind=DP), allocatable, dimension(:,:,:,:) :: zah_l_tmp

      if(sw_divide_subspace==ON)then
         ngsize  = maxval(iba)
         ngsizel = iba(ik)
      else
         ngsize  = np_g1k(ik)
         ngsizel = np_g1k(ik)
      endif
      if(kimg==1) then
         allocate(zaj_wk(ngsize,nel,kimg))
         if(itot /= max_iter_david) allocate(zah_wk(ngsize,nel,kimg))
         allocate(fsr_wk(nel,nlmta),fsi_wk(nel,nlmta))
         allocate(fsr_t(nsize_sb_now,nlmta),fsi_t(nsize_sb_now,nlmta))
         num = 0
         do ibb2 = 1, nsize_max_sb_now
            if(ibover(ibb2,iblock) < 0) cycle
            iter2=(ibb2-1)/nel+1
            ii2=ibb2-nel*(iter2-1)
            ii2=nsta+ii2-1
            num = num + 1
            fsr_t(num,:) = fsr_p(ii2,:,iter2)
            fsi_t(num,:) = fsi_p(ii2,:,iter2)
         end do
         call dgemm('N','N',ngsizel,nel,nsize_sb_now,1.0d0,zat_t,ngsize,vec,nsize_sb_now,0.0d0,zaj_wk,ngsize)
         call dgemm('T','N',nel,nlmta,nsize_sb_now,1.0d0,vec,nsize_sb_now,fsr_t,nsize_sb_now,0.0d0,fsr_wk,nel)
         call dgemm('T','N',nel,nlmta,nsize_sb_now,1.0d0,vec,nsize_sb_now,fsi_t,nsize_sb_now,0.0d0,fsi_wk,nel)
         if(itot /= max_iter_david) then
            call dgemm('N','N',ngsizel,nel,nsize_sb_now,1.0d0,zah_t,ngsize,vec,nsize_sb_now,0.0d0,zah_wk,ngsize)
         end if
         if(sw_divide_subspace==OFF) then
           call m_ES_W_transpose_back_r(.false.,ista_k,iend_k,ik,zaj_l,zaj_wk)
         else
           zaj_l(:,nsta:nend,ik,:) = zaj_wk(:,:,:)
         endif
#ifdef SAVE_FFT_TIMES
         if(sw_save_fft == ON) status_saved_phifftr(nsta:nend,ik) = OLD
#endif
         if(itot /= max_iter_david) then
           if(sw_divide_subspace==OFF) then
             allocate(zah_l_tmp(kg1,np_e,ik:ik,kimg)) ! MPI
             call m_ES_W_transpose_back_r(.false.,ik,ik,ik,zah_l_tmp,zah_wk)
             zah_l(:,:,:,1) = zah_l_tmp(:,:,ik,:)
             deallocate(zah_l_tmp)
           else
             zah_l(:,nsta:nend,:,1) = zah_wk(:,:,:)
           endif
         endif
         if(sw_divide_subspace==OFF) then
           do ib1=1,neg
              if(map_e(ib1)==myrank_e)then
                 fsr_l(map_z(ib1),:,ik) = fsr_wk(ib1,:)
                 fsi_l(map_z(ib1),:,ik) = fsi_wk(ib1,:)
              endif
           enddo
         else
           do ib = nsta, nend ! MPI
              fsr_l(ib,:,ik) = fsr_wk(ib-nsta+1,:)
              fsi_l(ib,:,ik) = fsi_wk(ib-nsta+1,:)
           end do
         endif
         deallocate(fsr_t,fsi_t)
         deallocate(zaj_wk,fsr_wk,fsi_wk)
         if(itot /= max_iter_david) deallocate(zah_wk)
      else
         if(k_symmetry(ik) == GAMMA) then
            allocate(zaj_wk(ngsize,nel,kimg))
            if(itot /= max_iter_david) allocate(zah_wk(ngsize,nel,kimg))
            allocate(fsr_wk(nel,nlmta))
            allocate(fsr_t(nsize_sb_now,nlmta))
            num = 0
            do ibb2 = 1, nsize_max_sb_now
               if(ibover(ibb2,iblock) < 0) cycle
               iter2=(ibb2-1)/nel+1
               ii2=ibb2-nel*(iter2-1)
               ii2=nsta+ii2-1
               num = num + 1
               fsr_t(num,:) = fsr_p(ii2,:,iter2)
            end do
            call dgemm('N','N',ngsizel,nel,nsize_sb_now,1.0d0,zat_t(1,1,1),   ngsize,vec,nsize_sb_now,0.0d0,&
                  & zaj_wk(1,1,1),   ngsize)
            call dgemm('N','N',ngsizel,nel,nsize_sb_now,1.0d0,zat_t(1,1,kimg),ngsize,vec,nsize_sb_now,0.0d0,&
                  & zaj_wk(1,1,kimg),ngsize)
            call dgemm('T','N',nel,nlmta,nsize_sb_now,1.0d0,vec,nsize_sb_now,fsr_t,nsize_sb_now,0.0d0,fsr_wk,nel)
            if(itot /= max_iter_david) then
               call dgemm('N','N',ngsizel,nel,nsize_sb_now,1.0d0,zah_t(1,1,1),   ngsize,vec,nsize_sb_now,0.0d0,&
                  & zah_wk(1,1,1),   ngsize)
               call dgemm('N','N',ngsizel,nel,nsize_sb_now,1.0d0,zah_t(1,1,kimg),ngsize,vec,nsize_sb_now,0.0d0,&
                  & zah_wk(1,1,kimg),ngsize)
            end if
            if(sw_divide_subspace==OFF) then
              call m_ES_W_transpose_back_r(.false.,ista_k,iend_k,ik,zaj_l,zaj_wk)
            else
              zaj_l(:,nsta:nend,ik,:) = zaj_wk(:,:,:)
            endif
#ifdef SAVE_FFT_TIMES
            if(sw_save_fft == ON) status_saved_phifftr(nsta:nend,ik) = OLD
#endif
            if(itot /= max_iter_david) then
              if(sw_divide_subspace==OFF)then
                 allocate(zah_l_tmp(kg1,np_e,ik:ik,kimg)) ! MPI
                 call m_ES_W_transpose_back_r(.false.,ik,ik,ik,zah_l_tmp,zah_wk)
                 zah_l(:,:,:,1) = zah_l_tmp(:,:,ik,:)
                 deallocate(zah_l_tmp)
              else
                 zah_l(:,nsta:nend,:,1) = zah_wk(:,:,:)
              endif
            endif
            if(sw_divide_subspace==OFF) then
              do ib1=1,neg
                 if(map_e(ib1)==myrank_e)then
                    fsr_l(map_z(ib1),:,ik) = fsr_wk(ib1,:)
                 endif
              enddo
            else
              do ib = nsta, nend ! MPI
                fsr_l(ib,:,ik) = fsr_wk(ib-nsta+1,:)
              end do
            endif
            deallocate(fsr_t)
            deallocate(zaj_wk,fsr_wk)
            if(itot /= max_iter_david) deallocate(zah_wk)
         else
            allocate(zaj_wk(ngsize*kimg,nel,1))
            if(itot /= max_iter_david) then
              allocate(zah_wk(ngsize*kimg,nel,1))
            endif
            allocate(fsr_wk(nel*kimg,nlmta))
            allocate(fsr_t(nsize_sb_now*kimg,nlmta))
            num = 0
            do ibb2 = 1, nsize_max_sb_now
               if(ibover(ibb2,iblock) < 0) cycle
               iter2=(ibb2-1)/nel+1
               ii2=ibb2-nel*(iter2-1)
               ii2=nsta+ii2-1
               num = num + 1
               fsr_t(2*num-1,:) = fsr_p(ii2,:,iter2)
               fsr_t(2*num,  :) = fsi_p(ii2,:,iter2)
            end do
            call zgemm('N','N',ngsizel,nel,nsize_sb_now,c1,zat_t,ngsize,vec,nsize_sb_now,c0,zaj_wk,ngsize)
            call zgemm('T','N',nel,nlmta,nsize_sb_now,c1,vec,nsize_sb_now,fsr_t,nsize_sb_now,c0,fsr_wk,nel)
            if(itot /= max_iter_david) then
               call zgemm('N','N',ngsizel,nel,nsize_sb_now,c1,zah_t,ngsize,vec,nsize_sb_now,c0,zah_wk,ngsize)
            end if
            if(sw_divide_subspace==OFF)then
              call m_ES_W_transpose_back_r_cmplx(.false.,ista_k,iend_k,ik,zaj_l,zaj_wk)
            else
              do ib = nsta, nend
                 i = ib - nsta + 1
                 do ii = 1, iba(ik)
                    zaj_l(ii,ib,ik,1)    = zaj_wk(2*ii-1,i,1)
                    zaj_l(ii,ib,ik,kimg) = zaj_wk(2*ii,  i,1)
                 end do
              end do
            endif
#ifdef SAVE_FFT_TIMES
            if(sw_save_fft == ON) status_saved_phifftr(nsta:nend,ik) = OLD
#endif
            if(itot /= max_iter_david) then
               if(sw_divide_subspace==OFF) then
                 allocate(zah_l_tmp(kg1,np_e,ik:ik,kimg)) ! MPI
                 call m_ES_W_transpose_back_r_cmplx(.false.,ik,ik,ik,zah_l_tmp,zah_wk)
                 zah_l(:,:,:,1) = zah_l_tmp(:,:,ik,:)
                 deallocate(zah_l_tmp)
               else
                 do ib = nsta, nend
                    i = ib - nsta + 1
                    do ii = 1, iba(ik)
                       zah_l(ii,ib,1,   1) = zah_wk(2*ii-1,i,1)
                       zah_l(ii,ib,kimg,1) = zah_wk(2*ii,  i,1)
                    end do
                 end do
               endif
            end if
            if(sw_divide_subspace==OFF) then
              do ib1=1,neg
                 if(map_e(ib1)==myrank_e)then
                    fsr_l(map_z(ib1),:,ik) = fsr_wk(2*ib1-1,:)
                    fsi_l(map_z(ib1),:,ik) = fsr_wk(2*ib1,:)
                 endif
              enddo
            else
              do is = 1, nlmta ! MPI
                 do ib = nsta, nend ! MPI
                    i = ib - nsta + 1
                    fsr_l(ib,is,ik) = fsr_wk(2*i-1,is)
                    fsi_l(ib,is,ik) = fsr_wk(2*i,  is)
                 end do
              end do
            endif
            deallocate(fsr_t)
            deallocate(zaj_wk,fsr_wk)
            if(itot /= max_iter_david) deallocate(zah_wk)
         end if
      end if
#else
      if(sw_divide_subspace==ON)then
         ngsize = kg1
      else
         ngsize = np_g1k_x
      endif
      allocate(zaj_wk(ngsize,nel,kimg))
      if(itot /= max_iter_david) then
        allocate(zah_wk(ngsize,nel,kimg))
        zah_wk(:,:,:) = 0.d0
        if(sw_divide_subspace==OFF)then
           allocate(zah_wk2(kg1,np_e,ista_k:iend_k,kimg))
           zah_wk2=0.d0
        endif
      end if
      allocate(fsr_wk(nel,nlmta))
      if(k_symmetry(ik) /= GAMMA) then
        allocate(fsi_wk(nel,nlmta))
        fsi_wk(:,:)=0.d0
      end if

      zaj_wk(:,:,:) = 0.d0
      fsr_wk(:,:)=0.d0
      if(kimg==1) then
         do ib1=1,nel
            do ibb2=1,nsize_max_sb_now
               if(ibover(ibb2,iblock)<0) cycle
               ib2 = ibover(ibb2,iblock)
               iter2=(ibb2-1)/nel+1
               ii2=ibb2-nel*(iter2-1)
               ii2=nsta+ii2-1
               hr2=vec(ib2,ib1)
!!               do ii=1,iba(ik)
               do ii=1,ng
!                  zaj_wk(ii,ib1,kimg) = zaj_wk(ii,ib1,kimg) + zat_l(ii,ii2,kimg,iter2)*vec(ib2,ib1)
                  zaj_wk(ii,ib1,kimg) = zaj_wk(ii,ib1,kimg) + zat_l_p(ii,ii2,kimg,iter2)*hr2
               end do
               do ii=1,nlmta
                 fsr_wk(ib1,ii) = fsr_wk(ib1,ii) + fsr_p(ii2,ii,iter2)*hr2
                 fsi_wk(ib1,ii) = fsi_wk(ib1,ii) + fsi_p(ii2,ii,iter2)*hr2
               end do
               if(itot /= max_iter_david) then
!!$                 do ii=1,iba(ik)
                 do ii=1,ng
                    zah_wk(ii,ib1,kimg) = zah_wk(ii,ib1,kimg) + zah_l_p(ii,ii2,kimg,iter2)*hr2
                 end do
               end if
            end do
         end do
      else
         if(k_symmetry(ik) == GAMMA) then
            do ib1=1,nel
               do ibb2=1,nsize_max_sb_now
                  if(ibover(ibb2,iblock)<0) cycle
                  ib2 = ibover(ibb2,iblock)
                  iter2=(ibb2-1)/nel+1
                  ii2=ibb2-nel*(iter2-1)
                  ii2=nsta+ii2-1
                  hr2=vec(ib2,ib1)
!                  do ii=1,iba(ik)
                  do ii=1,ng
                     dr1=zat_l_p(ii,ii2,1   ,iter2)
                     di1=zat_l_p(ii,ii2,kimg,iter2)
                     zaj_wk(ii,ib1,1   ) = zaj_wk(ii,ib1,1   ) + dr1*hr2
                     zaj_wk(ii,ib1,kimg) = zaj_wk(ii,ib1,kimg) + di1*hr2
                  end do
                  do ii=1,nlmta
                    fsr_wk(ib1,ii) = fsr_wk(ib1,ii) + fsr_p(ii2,ii,iter2)*hr2
                  end do
                  if(itot /= max_iter_david) then
!!$                    do ii=1,iba(ik)
                    do ii=1,ng
                       dr1=zah_l_p(ii,ii2,1   ,iter2)
                       di1=zah_l_p(ii,ii2,kimg,iter2)
                       zah_wk(ii,ib1,1   ) = zah_wk(ii,ib1,1   ) + dr1*hr2
                       zah_wk(ii,ib1,kimg) = zah_wk(ii,ib1,kimg) + di1*hr2
                    end do
                  end if
               end do
            end do
         else
            do ib1=1,nel
               do ibb2=1,nsize_max_sb_now
                  if(ibover(ibb2,iblock)<0) cycle
                  ib2 = ibover(ibb2,iblock)
                  iter2=(ibb2-1)/nel+1
                  ii2=ibb2-nel*(iter2-1)
                  ii2=nsta+ii2-1
                  hr2=vec(2*ib2-1,ib1)
                  hi2=vec(2*ib2  ,ib1)
!                  do ii=1,iba(ik)
                  do ii=1,ng
                     dr1=zat_l_p(ii,ii2,1   ,iter2)
                     di1=zat_l_p(ii,ii2,kimg,iter2)
                     zaj_wk(ii,ib1,1   ) = zaj_wk(ii,ib1,1   ) + dr1*hr2 - di1*hi2
                     zaj_wk(ii,ib1,kimg) = zaj_wk(ii,ib1,kimg) + dr1*hi2 + di1*hr2
                  end do
                  do ii=1,nlmta
                     dr1=fsr_p(ii2,ii,iter2)
                     di1=fsi_p(ii2,ii,iter2)
                     fsr_wk(ib1,ii) = fsr_wk(ib1,ii) + dr1*hr2 - di1*hi2
                     fsi_wk(ib1,ii) = fsi_wk(ib1,ii) + dr1*hi2 + di1*hr2
                  end do
                  if(itot /= max_iter_david) then
!                    do ii=1,iba(ik)
                    do ii=1,ng
                       dr1=zah_l_p(ii,ii2,1   ,iter2)
                       di1=zah_l_p(ii,ii2,kimg,iter2)
                       zah_wk(ii,ib1,1   ) = zah_wk(ii,ib1,1   ) + dr1*hr2 - di1*hi2
                       zah_wk(ii,ib1,kimg) = zah_wk(ii,ib1,kimg) + dr1*hi2 + di1*hr2
                    end do
                  end if
               end do
            end do
         end if
      end if
      if(sw_divide_subspace==ON)then
         zaj_l(:,nsta:nend,ik,:) = zaj_wk(:,:,:)
#ifdef SAVE_FFT_TIMES
         if(sw_save_fft == ON) status_saved_phifftr(nsta:nend,ik) = OLD
#endif
         if(itot /= max_iter_david) zah_l_p(:,nsta:nend,:,1) = zah_wk(:,:,:)
         fsr_l(nsta:nend,:,ik) = fsr_wk(:,:)
         if(k_symmetry(ik) /= GAMMA) fsi_l(nsta:nend,:,ik) = fsi_wk(:,:)
      else
         call m_ES_W_transpose_back_r(.false.,ista_k,iend_k,ik,zaj_l,zaj_wk)
#ifdef SAVE_FFT_TIMES
         if(sw_save_fft == ON) status_saved_phifftr(:,ik) = OLD
#endif
         if(itot /= max_iter_david) then
            call m_ES_W_transpose_back_r(.false.,ista_k,iend_k,ik,zah_wk2,zah_wk)
            zah_l(:,:,:,1) = zah_wk2(:,:,ik,:)
         endif
         do ib1=1,neg
            if(map_e(ib1)==myrank_e)then
               fsr_l(map_z(ib1),:,ik) = fsr_wk(ib1,:)
               if(k_symmetry(ik) /= GAMMA) fsi_l(map_z(ib1),:,ik) = fsi_wk(ib1,:)
            endif
         enddo
      endif
      
      deallocate(zaj_wk,fsr_wk)
      if(itot /= max_iter_david) then
         deallocate(zah_wk)
         if(sw_divide_subspace==OFF) deallocate(zah_wk2)
      endif
      if(k_symmetry(ik) /= GAMMA) deallocate(fsi_wk)
#endif
    end subroutine subspace_rotation


  end subroutine evolve_WFs_in_subspace
  
  subroutine decide_correction_vector(precon,ispin,ik,ekin,afft,bfft,p,itot)
    integer, intent(in)       :: precon, ispin, ik
    real(kind=DP), intent(in)  :: ekin(kg1)
    real(kind=DP), intent(in)  :: afft(nfft)
    real(kind=DP), intent(out) :: bfft(nfft)
    integer,       intent(in)  :: itot
    real(kind=DP)              :: p(kg1)

    real(kind=DP), allocatable, dimension(:,:) :: vexx
    real(kind=DP), allocatable, dimension(:,:) :: vtau_phl
    
    integer :: ib, ng, iflag, ibt
    integer :: id_sname = -1
    call tstatc0_begin('decide_correction_vector ', id_sname,1)
!!$    call tstatc0_begin('decide_correction_vector ', id_sname)
!    iflag = 0
!    if ( use_metagga .and. vtau_exists ) iflag = 1

    ng=1
    if(sw_hybrid_functional==ON) ng = kg1
    allocate(vexx(ng,kimg))

    if ( use_metagga .and. vtau_exists ) allocate( vtau_phl(kg1,kimg) )
    
    do ib = ista_e, iend_e, istep_e      ! MPI
       ibt = map_z(ib)
       if(sw_hybrid_functional==ON) then
          if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
             call m_ES_EXX_potential(nfout,ispin,ibt,ik,ng,fsr_l(ibt,1:nlmta,ik),fsi_l(ibt,1:nlmta,ik),vexx,0)
          else
             call m_ES_EXX_potential(nfout,ispin,ibt,ik,ng,fsr_l(ibt,1:nlmta,ik),fsr_l(ibt,1:nlmta,ik),vexx,0)
          endif
       endif
       if ( use_metagga .and. vtau_exists ) then
          call m_ES_kindens_to_vnlph_ib2( ispin, ik, ibt, cfft, vtau_phl )
       endif
       
!       if ((itot==1 .and. sw_keep_hloc_phi==OFF) .or. iflag==1) then
       if ( itot==1 .and. sw_keep_hloc_phi==OFF ) then
          call m_ES_WF_in_Rspace(ik,ib,bfft)! (swffft)
          call m_FFT_Vlocal_W(afft,bfft)    ! (afft, bfft) -> (bfft)
          call m_FFT_WF(ELECTRON,nfout,bfft,DIRECT,ON) ! bfft: G-space repres.
          if ( use_metagga .and. vtau_exists ) then
             call SD_direction( precon, ik, ib, ekin, p, itot, ng, vexx,&
                  &             vtau_phl=vtau_phl, VlocalW=bfft ) !-here
          else
             call SD_direction( precon, ik, ib, ekin, p, itot, ng, vexx,&
                  &             VlocalW=bfft ) !-here
          endif
       else
          if ( use_metagga .and. vtau_exists ) then
             call SD_direction( precon, ik, ib, ekin, p, itot, ng, vexx, &
                  &             vtau_phl=vtau_phl ) !-here
          else
             call SD_direction( precon, ik, ib, ekin, p, itot, ng, vexx ) !-here
          endif
       endif
       
       if(ipridavidson >=2 .and. ib == ista_e) call wd_wfsd_l(ik,ib)
    end do
    deallocate(vexx)
    if ( allocated(vtau_phl) ) deallocate( vtau_phl )

    call orthogonalize_SD_drctns(ik,to=OTHER_BANDS)
    
!!$    call normalize_wfsd(ik)

    call tstatc0_end(id_sname)
  end subroutine decide_correction_vector

  subroutine wd_wfsd_l(ik,ib)
    integer, intent(in) :: ik,ib
    integer :: i, ibt
    ibt = map_z(ib)
    write(nfout,'(" --- wfsd_l ---, ik = ",i8, " ib = ",i8)') ik, ib
    write(nfout,'(8f12.6)') (wfsd_l(i,ibt,ik,1),i=1,20)
    if(kimg==2) then
       write(nfout,'(8f12.6)') (wfsd_l(i,ibt,ik,2),i=1,20)
    end if
  end subroutine wd_wfsd_l
      
! ========================= added by K. Tagami ======================== 11.0
  subroutine decide_correction_vec_noncl( precon, ik, ekin, &
       &                                   afft_kt, bfft_kt, vnlph_noncl, p )

    integer, intent(in)       :: precon, ik
    real(kind=DP), intent(in)  :: ekin(kg1)
    real(kind=DP), intent(inout)  :: afft_kt(nfft,ndim_chgpot)
    real(kind=DP), intent(out) :: bfft_kt(nfft,ndim_spinor)
    real(kind=DP), intent(in), dimension(kg1,np_e,kimg,ndim_spinor) :: vnlph_noncl

    real(kind=DP)              :: p(kg1)
    
    integer :: ib, is
    integer :: id_sname = -1

    call tstatc0_begin('decide_correction_vec_noncl ', id_sname,1)

    do ib = ista_e, iend_e, istep_e      ! MPI

       Do is=1, ndim_spinor
          call m_ES_WF_in_Rspace( ik+is-1, ib, bfft_kt(:,is) ) ! (swffft)
       End do
       call m_FFT_Vlocal_W_noncl( afft_kt, bfft_kt, ndim_chgpot, ndim_spinor )
                                           ! (afft, bfft)-> (bfft)
       Do is=1, ndim_spinor
         call m_FFT_WF( ELECTRON, nfout, bfft_kt(:,is), DIRECT, ON )
       End do

       call SD_direction_noncl( precon,ik, ib, ekin, bfft_kt, &
            &                   vnlph_noncl, p ) !-here
    end do

    call orthogonalize_SD_drctns_noncl(ik,to=OTHER_BANDS)

!    call orthogonalize_SD_drctns(ik,to=ALL_BANDS)  ! -(m_ES_WF_by_SDorCG) ->(wfsd_l, bsd(ri)_l)
    
    call normalize_wfsd_noncl(ik)

    call tstatc0_end(id_sname)
  end subroutine decide_correction_vec_noncl
! ================================================================ 11.0
  
  subroutine orthogonalize_SD_drctns(ik,to)
    integer, intent(in) :: ik,to

    integer :: itmp
    integer :: id_sname = -1
    call tstatc0_begin('orthogonalize_SD_drctns(Mddavid) ', id_sname,1)

!    if(modnrm == EXECUT) call m_ES_betar_dot_Psi_4_each_k(nfout,wfsd_l,ik,ik,ik,bsdr_l,bsdi_l)
    !                                        ->bsd(ri)_l
    
    if(sw_MRCV_only==OFF)then
       zat_l(:,:,:,1) = zaj_l(:,:,ik,:)
       fsr(:,:,1)=fsr_l(:,:,ik)
       if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          fsi(:,:,1)=fsi_l(:,:,ik)
       end if
    
       zaj_l(:,:,ik,:) = zajold_l(:,:,:)
       fsr_l(:,:,ik) = fsrold_l(:,:)
       if(.not.(kv3/nspin == 1 .and. k_symmetry(1) == GAMMA .and. kimg == 2)) then
          fsi_l(:,:,ik) = fsiold_l(:,:)
       end if
#ifdef SAVE_FFT_TIMES
       if(sw_save_fft == ON) status_saved_phifftr(:,ik) = OLD
#endif
    endif
    
    call tstatc0_end(id_sname)
!!$    itmp=modnrm
!!$    modnrm=EXECUT
!    if(sw_divide_subspace==ON) then
!!$       call m_ES_betar_dot_Psi_4_each_k(wfsd_l,ik,ik,ik,bsdr_l,bsdi_l)
!!$       call m_ES_orthogonalize_SD_to_WFs(ik,to,wfsd_l,bsdr_l,bsdi_l) ! ->(wfsd_l,bsd(ri)_l)
!!$    end if
    if(modnrm==EXECUT) then
       call m_ES_betar_dot_Psi_4_each_k(nfout,wfsd_l,ik,ik,ik,bsdr_l,bsdi_l,feigconv)
       call m_ES_orthogonal_phi_to_WFs(ik,wfsd_l,bsdr_l,bsdi_l) ! ->(wfsd_l,bsd(ri)_l)
    else
       call m_ES_orthogonal_phi_to_WFs(ik,wfsd_l,bsdr_l,bsdi_l) ! ->(wfsd_l,bsd(ri)_l)
       call m_ES_betar_dot_Psi_4_each_k(nfout,wfsd_l,ik,ik,ik,bsdr_l,bsdi_l,feigconv)
    end if
!    end if
  end subroutine orthogonalize_SD_drctns
  
  logical function allbands_converged()
    integer :: ib,ierr
    logical :: logi
    logi = .true.
    do ib=1,np_e
      if(.not.feigconv(ib)) then 
        logi = .false.
        exit
      endif
    enddo
    call mpi_allreduce(mpi_in_place,logi,1,mpi_logical,mpi_land,mpi_k_world(myrank_k),ierr)
    allbands_converged = logi
  end function allbands_converged

#endif
end module m_ES_WF_by_ModifiedDavidson

