states_elec_restart.F90

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!! Copyright (C) 2002-2016 M. Marques, A. Castro, A. Rubio, G. Bertsch, X. Andrade
!!
!! This program is free software; you can redistribute it and/or modify
!! it under the terms of the GNU General Public License as published by
!! the Free Software Foundation; either version 2, or (at your option)
!! any later version.
!!
!! This program is distributed in the hope that it will be useful,
!! but WITHOUT ANY WARRANTY; without even the implied warranty of
!! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
!! GNU General Public License for more details.
!!
!! You should have received a copy of the GNU General Public License
!! along with this program; if not, write to the Free Software
!! Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
!! 02110-1301, USA.
!!
 
#include "global.h"
 
 
module states_elec_restart_oct_m
  use calc_mode_par_oct_m
  use debug_oct_m
  use electron_space_oct_m
  use global_oct_m
  use io_function_oct_m
  use, intrinsic :: iso_fortran_env
  use kpoints_oct_m
  use lalg_basic_oct_m
  use linear_response_oct_m
  use loct_oct_m
  use math_oct_m
  use mesh_oct_m
  use mesh_function_oct_m
  use messages_oct_m
  use mpi_oct_m
  use multicomm_oct_m
  use namespace_oct_m
  use parser_oct_m
  use profiling_oct_m
  use restart_oct_m
  use smear_oct_m
  use space_oct_m
  use states_abst_oct_m
  use states_elec_calc_oct_m
  use states_elec_oct_m
  use states_elec_dim_oct_m
  use string_oct_m
  use types_oct_m
 
  implicit none
 
 
  private
  public ::                              &
    states_elec_look_and_load,           &
    states_elec_dump,                    &
    states_elec_load,                    &
    states_elec_dump_rho,                &
    states_elec_load_rho,                &
    states_elec_dump_spin,               &
    states_elec_load_spin,               &
    states_elec_dump_frozen,             &
    states_elec_load_frozen,             &
    states_elec_read_user_def_orbitals,  &
    states_elec_transform
 
contains
 
  ! ---------------------------------------------------------
  subroutine states_elec_look_and_load(restart, namespace, space, st, mesh, kpoints, is_complex, packed)
    type(restart_t),             intent(in)    :: restart
    type(namespace_t),           intent(in)    :: namespace
    class(space_t),              intent(in)    :: space
    type(states_elec_t), target, intent(inout) :: st
    class(mesh_t),               intent(in)    :: mesh
    type(kpoints_t),             intent(in)    :: kpoints
    logical,           optional, intent(in)    :: is_complex
    logical,           optional, intent(in)    :: packed
 
    integer :: nkpt, dim, nst, ierr
    real(real64), allocatable :: new_occ(:,:)
 
    push_sub(states_elec_look_and_load)
 
    !check how many wfs we have
    call states_elec_look(restart, nkpt, dim, nst, ierr)
    if (ierr /= 0) then
      message(1) = "Unable to read states information."
      call messages_fatal(1, namespace=namespace)
    end if
 
    if (st%parallel_in_states) then
      message(1) = "Internal error: cannot use states_elec_look_and_load when parallel in states."
      call messages_fatal(1, namespace=namespace)
    end if
 
    ! Resize st%occ, retaining information there
    safe_allocate(new_occ(1:nst, 1:st%nik))
    new_occ(:,:) = m_zero
    new_occ(1:min(nst, st%nst),:) = st%occ(1:min(nst, st%nst),:)
    safe_deallocate_a(st%occ)
    call move_alloc(new_occ, st%occ)
 
    ! FIXME: This wrong, one cannot just change the number of states
    ! without updating the internal structures, in the case of parallel in states.
    ! I think it is right now without state parallelism.
    st%nst      = nst
    st%st_start = 1
    st%st_end   = nst
    st%lnst     = nst
 
    safe_deallocate_a(st%node)
    safe_allocate(st%node(1:st%nst))
    st%node(:)  = 0
 
    safe_deallocate_a(st%eigenval)
    safe_allocate(st%eigenval(1:st%nst, 1:st%nik))
    st%eigenval = huge(st%eigenval)
 
    if (present(is_complex)) then
      if (is_complex) then
        call states_elec_allocate_wfns(st, mesh, type_cmplx, packed=optional_default(packed, .false.))
      else
        call states_elec_allocate_wfns(st, mesh, type_float, packed=optional_default(packed, .false.))
      end if
    else
      ! allow states_elec_allocate_wfns to decide for itself whether complex or real needed
      call states_elec_allocate_wfns(st, mesh, packed=optional_default(packed, .false.))
    end if
 
    if (st%d%ispin == spinors) then
      safe_allocate(st%spin(1:3, 1:st%nst, 1:st%nik))
      st%spin = m_zero
    end if
 
    ! load wavefunctions
    call states_elec_load(restart, namespace, space, st, mesh, kpoints, ierr)
    if (ierr /= 0) then
      message(1) = "Unable to read wavefunctions."
      call messages_fatal(1, namespace=namespace)
    end if
 
    pop_sub(states_elec_look_and_load)
  end subroutine states_elec_look_and_load
 
 
  ! ---------------------------------------------------------
  subroutine states_elec_dump(restart, space, st, mesh, kpoints, ierr, iter, lr, st_start_writing, verbose)
    type(restart_t),      intent(in)  :: restart
    class(space_t),       intent(in)  :: space
    type(states_elec_t),  intent(in)  :: st
    class(mesh_t),        intent(in)  :: mesh
    type(kpoints_t),      intent(in)  :: kpoints
    integer,              intent(out) :: ierr
    integer,    optional, intent(in)  :: iter
    type(lr_t), optional, intent(in)  :: lr
    integer,    optional, intent(in)  :: st_start_writing
    logical,    optional, intent(in)  :: verbose
 
    integer :: iunit_wfns, iunit_occs, iunit_states
    integer :: err, err2(2), ik, idir, ist, idim, itot
    integer :: root(1:p_strategy_max)
    character(len=MAX_PATH_LEN) :: filename
    character(len=300) :: lines(3)
    logical :: lr_wfns_are_associated, should_write, verbose_
    real(real64)   :: kpoint(space%dim)
    real(real64),  allocatable :: dpsi(:), rff_global(:)
    complex(real64),  allocatable :: zpsi(:), zff_global(:)
 
    push_sub(states_elec_dump)
 
    verbose_ = optional_default(verbose, .true.)
 
    ierr = 0
 
    if (restart_skip(restart)) then
      pop_sub(states_elec_dump)
      return
    end if
 
    if (verbose_) then
      message(1) = "Info: Writing states."
      call print_date(trim(message(1))//' ')
    end if
 
    call profiling_in("RESTART_WRITE")
 
    if (present(lr)) then
      lr_wfns_are_associated = (allocated(lr%ddl_psi) .and. states_are_real(st)) .or. &
        (allocated(lr%zdl_psi) .and. states_are_complex(st))
      assert(lr_wfns_are_associated)
    end if
 
    call restart_block_signals()
 
 
    iunit_states = restart_open(restart, 'states')
    write(lines(1), '(a20,1i10)')  'nst=                ', st%nst
    write(lines(2), '(a20,1i10)')  'dim=                ', st%d%dim
    write(lines(3), '(a20,1i10)')  'nik=                ', st%nik
    call restart_write(restart, iunit_states, lines, 3, err)
    if (err /= 0) ierr = ierr + 1
    call restart_close(restart, iunit_states)
 
 
    iunit_wfns = restart_open(restart, 'wfns')
    lines(1) = '#     #k-point            #st            #dim    filename'
    if (states_are_real(st)) then
      lines(2) = '%Real_Wavefunctions'
    else
      lines(2) = '%Complex_Wavefunctions'
    end if
    call restart_write(restart, iunit_wfns, lines, 2, err)
    if (err /= 0) ierr = ierr + 2
 
 
    iunit_occs = restart_open(restart, 'occs')
    lines(1) = '# occupations | eigenvalue[a.u.] | Im(eigenvalue) [a.u.] | k-points | k-weights | filename | ik | ist | idim'
    lines(2) = '%Occupations_Eigenvalues_K-Points'
    call restart_write(restart, iunit_occs, lines, 2, err)
    if (err /= 0) ierr = ierr + 4
 
 
    if (states_are_real(st)) then
      safe_allocate(dpsi(1:mesh%np))
      safe_allocate(rff_global(1:mesh%np_global))
    else
      safe_allocate(zpsi(1:mesh%np))
      safe_allocate(zff_global(1:mesh%np_global))
    end if
 
    itot = 1
    root = -1
    err2 = 0
    do ik = 1, st%nik
      kpoint(1:space%dim) = &
        kpoints%get_point(st%d%get_kpoint_index(ik), absolute_coordinates = .true.)
 
      do ist = 1, st%nst
        do idim = 1, st%d%dim
          root(p_strategy_domains) = mod(itot - 1, mesh%mpi_grp%size)
          write(filename,'(i10.10)') itot
 
          write(lines(1), '(i8,a,i8,a,i8,3a)') ik, ' | ', ist, ' | ', idim, ' | "', trim(filename), '"'
          call restart_write(restart, iunit_wfns, lines, 1, err)
          if (err /= 0) err2(1) = err2(1) + 1
 
          write(lines(1), '(e23.16,a,e23.16)') st%occ(ist,ik), ' | ', st%eigenval(ist, ik)
          write(lines(1), '(a,a,e23.16)') trim(lines(1)), ' | ', m_zero
          do idir = 1, space%dim
            write(lines(1), '(a,a,e23.16)') trim(lines(1)), ' | ', kpoint(idir)
          end do
          write(lines(1), '(a,a,e23.16,a,i10.10,3(a,i8))') trim(lines(1)), &
            ' | ', st%kweights(ik), ' | ', itot, ' | ', ik, ' | ', ist, ' | ', idim
          call restart_write(restart, iunit_occs, lines, 1, err)
          if (err /= 0) err2(1) = err2(1) + 1
 
          should_write = st%st_start <= ist .and. ist <= st%st_end
          if (should_write .and. present(st_start_writing)) then
            if (ist < st_start_writing) should_write = .false.
          end if
 
          if (should_write) then
            if (.not. present(lr)) then
              if (st%d%kpt%start <= ik .and. ik <= st%d%kpt%end) then
                if (states_are_real(st)) then
                  call states_elec_get_state(st, mesh, idim, ist, ik, dpsi)
                  call restart_write_mesh_function(restart, space, filename, mesh, dpsi, err, root = root)
                else
                  call states_elec_get_state(st, mesh, idim, ist, ik, zpsi)
                  call restart_write_mesh_function(restart, space, filename, mesh, zpsi, err, root = root)
                end if
              else
                err = 0
              end if
            else
              if (st%d%kpt%start <= ik .and. ik <= st%d%kpt%end) then
                if (states_are_real(st)) then
                  call restart_write_mesh_function(restart, space, filename, mesh, &
                    lr%ddl_psi(:, idim, ist, ik), err, root = root)
                else
                  call restart_write_mesh_function(restart, space, filename, mesh, &
                    lr%zdl_psi(:, idim, ist, ik), err, root = root)
                end if
              else
                err = 0
              end if
            end if
            if (err /= 0) err2(2) = err2(2) + 1
          end if
 
          itot = itot + 1
        end do ! st%d%dim
      end do ! st%nst
    end do ! st%nik
    if (err2(1) /= 0) ierr = ierr + 8
    if (err2(2) /= 0) ierr = ierr + 16
 
    safe_deallocate_a(dpsi)
    safe_deallocate_a(zpsi)
    safe_deallocate_a(rff_global)
    safe_deallocate_a(zff_global)
 
    lines(1) = '%'
    call restart_write(restart, iunit_occs, lines, 1, err)
    if (err /= 0) ierr = ierr + 32
    call restart_write(restart, iunit_wfns, lines, 1, err)
    if (err /= 0) ierr = ierr + 64
    if (present(iter)) then
      write(lines(1),'(a,i7)') 'Iter = ', iter
      call restart_write(restart, iunit_wfns, lines, 1, err)
      if (err /= 0) ierr = ierr + 128
    end if
 
    call restart_close(restart, iunit_wfns)
    call restart_close(restart, iunit_occs)
 
    if (verbose_) then
      message(1) = "Info: Finished writing states."
      call print_date(trim(message(1))//' ')
    end if
 
    call restart_unblock_signals()
 
    call profiling_out("RESTART_WRITE")
    pop_sub(states_elec_dump)
    return
  end subroutine states_elec_dump
 
 
  ! ---------------------------------------------------------
  subroutine states_elec_load(restart, namespace, space, st, mesh, kpoints, ierr, iter, lr, lowest_missing, label, verbose, skip)
    type(restart_t),            intent(in)    :: restart
    type(namespace_t),          intent(in)    :: namespace
    class(space_t),             intent(in)    :: space
    type(states_elec_t),        intent(inout) :: st
    class(mesh_t),              intent(in)    :: mesh
    type(kpoints_t),            intent(in)    :: kpoints
    integer,                    intent(out)   :: ierr
    integer,          optional, intent(out)   :: iter
    type(lr_t),       optional, intent(inout) :: lr
    integer,          optional, intent(out)   :: lowest_missing(:, :)
    character(len=*), optional, intent(in)    :: label
    logical,          optional, intent(in)    :: verbose
    logical,          optional, intent(in)    :: skip(:)
 
    integer              :: states_elec_file, wfns_file, occ_file, err, ik, ist, idir, idim
    integer              :: idone, iread, ntodo
    character(len=12)    :: filename
    character(len=1)     :: char
    logical, allocatable :: filled(:, :, :)
    character(len=256)   :: lines(3), label_
    character(len=50)    :: str
 
    real(real64)         :: my_occ, imev, my_kweight
    logical              :: read_occ, lr_allocated, verbose_
    logical              :: integral_occs
    real(real64), allocatable   :: dpsi(:)
    complex(real64), allocatable   :: zpsi(:), zpsil(:)
    character(len=256), allocatable :: restart_file(:, :, :)
    logical,            allocatable :: restart_file_present(:, :, :)
    real(real64)         :: kpoint(space%dim), read_kpoint(space%dim)
 
    integer              :: iread_tmp
    integer, allocatable :: lowest_missing_tmp(:, :)
 
    push_sub(states_elec_load)
 
    ierr = 0
 
    ! make sure these intent(out)`s are initialized no matter what
    if (present(lowest_missing)) lowest_missing = 1
    if (present(iter)) iter = 0
 
    if (present(skip)) then
      assert(ubound(skip, dim = 1) == st%nst)
    end if
 
    if (restart_skip(restart)) then
      ierr = -1
      pop_sub(states_elec_load)
      return
    end if
 
    call profiling_in("RESTART_READ")
 
    verbose_ = optional_default(verbose, .true.)
 
    if (present(label)) then
      label_ = trim(label)
    else
      if (present(lr)) then
        label_ = " for linear response"
      else
        label_ = ""
      end if
    end if
 
    message(1) = 'Info: Reading states'
    if (len(trim(label_)) > 0) then
      message(1) = trim(message(1)) // trim(label_)
    end if
    message(1) = trim(message(1)) // "."
    if (verbose_) call print_date(trim(message(1))//' ')
 
    if (.not. present(lr)) then
      st%fromScratch = .false. ! obviously, we are using restart info
    end if
 
    ! If one restarts a GS calculation changing the %Occupations block, one
    ! cannot read the occupations, otherwise these overwrite the ones from
    ! the input file. restart_fixed_occ makes that we do use the ones in the file.
    integral_occs = .true. ! only used if restart_fixed_occ
    if (st%restart_fixed_occ) then
      read_occ = .true.
      st%fixed_occ = .true.
    else
      read_occ = .not. st%fixed_occ
    end if
 
    if (.not. present(lr)) then
      st%eigenval(:, :) = m_zero
      ! to be filled in from reading afterward
    end if
 
    if (.not. present(lr) .and. read_occ) then
      st%occ(:, :) = m_zero
      ! to be filled in from reading afterward
    end if
 
    ! sanity check
    if (present(lr)) then
      lr_allocated = (allocated(lr%ddl_psi) .and. states_are_real(st)) .or. &
        (allocated(lr%zdl_psi) .and. states_are_complex(st))
      assert(lr_allocated)
    end if
 
    states_elec_file  = restart_open(restart, 'states')
    ! sanity check on spin/k-points. Example file 'states':
    ! nst=                         2
    ! dim=                         1
    ! nik=                         2
    call restart_read(restart, states_elec_file, lines, 3, err)
    if (err /= 0) then
      ierr = ierr - 2
    else
      read(lines(2), *) str, idim
      read(lines(3), *) str, ik
      if (idim == 2 .and. st%d%dim == 1) then
        write(message(1),'(a)') 'Incompatible restart information: saved calculation is spinors, this one is not.'
        call messages_warning(1, namespace=namespace)
        ierr = ierr - 2**2
      end if
      if (idim == 1 .and. st%d%dim == 2) then
        write(message(1),'(a)') 'Incompatible restart information: this calculation is spinors, saved one is not.'
        call messages_warning(1, namespace=namespace)
        ierr = ierr - 2**3
      end if
      if (ik < st%nik) then
        write(message(1),'(a)') 'Incompatible restart information: not enough k-points.'
        write(message(2),'(2(a,i6))') 'Expected ', st%nik, ' > Read ', ik
        call messages_warning(2, namespace=namespace)
      end if
      ! We will check that they are the right k-points later, so we do not need to put a specific error here.
    end if
    call restart_close(restart, states_elec_file)
 
 
    ! open files to read
    wfns_file  = restart_open(restart, 'wfns')
    occ_file = restart_open(restart, 'occs')
    call restart_read(restart, wfns_file, lines, 2, err)
    if (err /= 0) then
      ierr = ierr - 2**5
    else if (states_are_real(st)) then
      read(lines(2), '(a)') str
      if (str(2:8) == 'Complex') then
        message(1) = "Cannot read real states from complex wavefunctions."
        call messages_warning(1, namespace=namespace)
        ierr = ierr - 2**6
      else if (str(2:5) /= 'Real') then
        message(1) = "Restart file 'wfns' does not specify real/complex; cannot check compatibility."
        call messages_warning(1, namespace=namespace)
      end if
    end if
    ! complex can be restarted from real, so there is no problem.
 
    ! Skip two lines.
    call restart_read(restart, occ_file, lines, 2, err)
    if (err /= 0) ierr = ierr - 2**7
 
    ! If any error occured up to this point then it is not worth continuing,
    ! as there something fundamentally wrong with the restart files
    if (ierr /= 0) then
      call restart_close(restart, wfns_file)
      call restart_close(restart, occ_file)
      call profiling_out("RESTART_READ")
      pop_sub(states_elec_load)
      return
    end if
 
    if (states_are_real(st)) then
      safe_allocate(dpsi(1:mesh%np))
    else
      safe_allocate(zpsi(1:mesh%np))
    end if
 
    safe_allocate(restart_file(1:st%d%dim, st%st_start:st%st_end, 1:st%nik))
    safe_allocate(restart_file_present(1:st%d%dim, st%st_start:st%st_end, 1:st%nik))
    restart_file_present = .false.
 
    ! Next we read the list of states from the files.
    ! Errors in reading the information of a specific state from the files are ignored
    ! at this point, because later we will skip reading the wavefunction of that state.
    do
      call restart_read(restart, wfns_file, lines, 1, err)
      if (err == 0) then
        read(lines(1), '(a)') char
        if (char == '%') then
          !We reached the end of the file
          exit
        else
          read(lines(1), *) ik, char, ist, char, idim, char, filename
        end if
      end if
 
      if (err /= 0 .or. index_is_wrong()) then
        call restart_read(restart, occ_file, lines, 1, err)
        cycle
      end if
 
      if (ist >= st%st_start .and. ist <= st%st_end .and. &
        ik >= st%d%kpt%start .and. ik <= st%d%kpt%end) then
 
        restart_file(idim, ist, ik) = trim(filename)
        restart_file_present(idim, ist, ik) = .true.
      end if
 
      call restart_read(restart, occ_file, lines, 1, err)
      if (.not. present(lr)) then ! do not read eigenvalues or occupations when reading linear response
        ! # occupations | eigenvalue[a.u.] | Im(eigenvalue) [a.u.] | k-points | k-weights | filename | ik | ist | idim
 
        if (err == 0) then
          read(lines(1), *) my_occ, char, st%eigenval(ist, ik), char, imev, char, &
            (read_kpoint(idir), char, idir = 1, space%dim), my_kweight
          ! we do not want to read the k-weights, we have already set them appropriately
        else
          ! There is a problem with this states information, so we skip it.
          if (ist >= st%st_start .and. ist <= st%st_end .and. &
            ik >= st%d%kpt%start .and. ik <= st%d%kpt%end) then
            restart_file_present(idim, ist, ik) = .false.
          end if
          cycle
        end if
 
        kpoint(1:space%dim) = &
          kpoints%get_point(st%d%get_kpoint_index(ik), absolute_coordinates = .true.)
        ! FIXME: maybe should ignore ik and just try to match actual vector k-points?
        if (any(abs(kpoint(1:space%dim) - read_kpoint(1:space%dim)) > 1e-12_real64)) then
          ! write only once for each k-point so as not to be too verbose
          if (ist == 1) then
            write(message(1),'(a,i6)') 'Incompatible restart information: k-point mismatch for ik ', ik
            write(message(2),'(a,99f18.12)') '  Expected : ', kpoint(1:space%dim)
            write(message(3),'(a,99f18.12)') '  Read     : ', read_kpoint(1:space%dim)
            call messages_warning(3, namespace=namespace)
          end if
          if (ist >= st%st_start .and. ist <= st%st_end .and. &
            ik >= st%d%kpt%start .and. ik <= st%d%kpt%end) then
            restart_file_present(idim, ist, ik) = .false.
          end if
        end if
 
        if (read_occ) then
          st%occ(ist, ik) = my_occ
          integral_occs = integral_occs .and. &
            abs((st%occ(ist, ik) - st%smear%el_per_state) * st%occ(ist, ik))  <=  m_epsilon
        end if
      end if
    end do
 
    if (present(iter)) then
      call restart_read(restart, wfns_file, lines, 1, err)
      if (err /= 0) then
        ierr = ierr - 2**8
      else
        read(lines(1), *) filename, filename, iter
      end if
    end if
 
    call restart_close(restart, wfns_file)
    call restart_close(restart, occ_file)
 
    ! Now we read the wavefunctions. At this point we need to have all the information from the
    ! states, occs, and wfns files in order to avoid serialisation of reads, as restart_read
    ! works as a barrier.
 
    safe_allocate(filled(1:st%d%dim, st%st_start:st%st_end, st%d%kpt%start:st%d%kpt%end))
    filled = .false.
 
    if (present(lowest_missing)) lowest_missing = st%nst + 1
 
    iread = 0
    if (mpi_grp_is_root(mpi_world) .and. verbose_) then
      idone = 0
      ntodo = st%lnst*st%d%kpt%nlocal*st%d%dim
      call loct_progress_bar(-1, ntodo)
    end if
 
    do ik = st%d%kpt%start, st%d%kpt%end
      do ist = st%st_start, st%st_end
        if (present(skip)) then
          if (skip(ist)) cycle
        end if
 
        do idim = 1, st%d%dim
 
          if (.not. restart_file_present(idim, ist, ik)) then
            if (present(lowest_missing)) then
              lowest_missing(idim, ik) = min(lowest_missing(idim, ik), ist)
            end if
            cycle
          end if
 
          if (states_are_real(st)) then
            call restart_read_mesh_function(restart, space, restart_file(idim, ist, ik), mesh, dpsi, err)
          else
            call restart_read_mesh_function(restart, space, restart_file(idim, ist, ik), mesh, zpsi, err)
          end if
 
          if (states_are_real(st)) then
            if (.not. present(lr)) then
              call states_elec_set_state(st, mesh, idim, ist, ik, dpsi)
            else
              call lalg_copy(mesh%np, dpsi, lr%ddl_psi(:, idim, ist, ik))
            end if
          else
            if (.not. present(lr)) then
              call states_elec_set_state(st, mesh, idim, ist, ik, zpsi)
            else
              call lalg_copy(mesh%np, zpsi, lr%zdl_psi(:, idim, ist, ik))
            end if
          end if
 
 
          if (err == 0) then
            filled(idim, ist, ik) = .true.
            iread = iread + 1
          else if (present(lowest_missing)) then
            lowest_missing(idim, ik) = min(lowest_missing(idim, ik), ist)
          end if
 
          if (mpi_grp_is_root(mpi_world) .and. verbose_) then
            idone = idone + 1
            call loct_progress_bar(idone, ntodo)
          end if
 
        end do
      end do
    end do
 
    safe_deallocate_a(dpsi)
    safe_deallocate_a(zpsi)
    safe_deallocate_a(zpsil)
    safe_deallocate_a(restart_file)
    safe_deallocate_a(restart_file_present)
 
    if (mpi_grp_is_root(mpi_world) .and. verbose_) then
      call messages_new_line()
    end if
 
    if (st%parallel_in_states .or. st%d%kpt%parallel) then
      iread_tmp = iread
      call st%st_kpt_mpi_grp%allreduce(iread_tmp, iread, 1, mpi_integer, mpi_sum)
    end if
 
    if (st%d%kpt%parallel) then
      ! make sure all tasks know lowest_missing over all k-points
      if (present(lowest_missing)) then
        safe_allocate(lowest_missing_tmp(1:st%d%dim, 1:st%nik))
        lowest_missing_tmp = lowest_missing
        call st%d%kpt%mpi_grp%allreduce(lowest_missing_tmp(1,1), lowest_missing(1,1), st%d%dim*st%nik, &
          mpi_integer, mpi_min)
        safe_deallocate_a(lowest_missing_tmp)
      end if
    end if
 
    if (st%restart_fixed_occ .and. iread == st%nst * st%nik * st%d%dim) then
      ! reset to overwrite whatever smearing may have been set earlier
      ! only do this if all states could be loaded from restart files
      call smear_init(st%smear, namespace, st%d%ispin, fixed_occ = .true., integral_occs = integral_occs, kpoints = kpoints)
    end if
 
    if (.not. present(lr) .and. .not. present(skip)) call fill_random()
    ! it is better to initialize lr wfns to zero
 
    safe_deallocate_a(filled)
 
    if (ierr == 0 .and. iread /= st%nst * st%nik * st%d%dim) then
      if (iread > 0) then
        ierr = iread
      else
        ierr = -1
      end if
      ! otherwise ierr = 0 would mean either all was read correctly, or nothing at all was read!
 
      if (.not. present(lr)) then
        write(str, '(a,i5)') 'Reading states.'
      else
        write(str, '(a,i5)') 'Reading states information for linear response.'
      end if
      call messages_print_with_emphasis(msg=trim(str), namespace=namespace)
      if (.not. present(skip)) then
        write(message(1),'(a,i6,a,i6,a)') 'Only ', iread,' files out of ', &
          st%nst * st%nik * st%d%dim, ' could be read.'
      else
        write(message(1),'(a,i6,a,i6,a)') 'Only ', iread,' files out of ', &
          st%nst * st%nik * st%d%dim, ' were loaded.'
        ierr = 0
      end if
      call messages_info(1, namespace=namespace)
      call messages_print_with_emphasis(namespace=namespace)
    end if
 
    message(1) = 'Info: States reading done.'
    if (verbose_) call print_date(trim(message(1))//' ')
 
    call profiling_out("RESTART_READ")
    pop_sub(states_elec_load)
 
  contains
 
    ! ---------------------------------------------------------
    subroutine fill_random() !< put random function in orbitals that could not be read.
      push_sub(states_elec_load.fill_random)
 
      do ik = st%d%kpt%start, st%d%kpt%end
 
        do ist = st%st_start, st%st_end
          do idim = 1, st%d%dim
            if (filled(idim, ist, ik)) cycle
 
            call states_elec_generate_random(st, mesh, kpoints, ist, ist, ik, ik)
          end do
        end do
      end do
 
      pop_sub(states_elec_load.fill_random)
    end subroutine fill_random
 
    ! ---------------------------------------------------------
 
    logical function index_is_wrong() !< .true. if the index (idim, ist, ik) is not present in st structure...
      push_sub(states_elec_load.index_is_wrong)
 
      if (idim > st%d%dim .or. idim < 1 .or.   &
        ist   > st%nst   .or. ist  < 1 .or.   &
        ik    > st%nik .or. ik   < 1) then
        index_is_wrong = .true.
      else
        index_is_wrong = .false.
      end if
 
      pop_sub(states_elec_load.index_is_wrong)
    end function index_is_wrong
 
  end subroutine states_elec_load
 
 
  subroutine states_elec_dump_rho(restart, space, st, mesh, ierr, iter)
    type(restart_t),      intent(in)    :: restart
    class(space_t),       intent(in)    :: space
    type(states_elec_t),  intent(in)    :: st
    class(mesh_t),        intent(in)    :: mesh
    integer,              intent(out)   :: ierr
    integer,    optional, intent(in)    :: iter
 
    integer :: iunit, isp, err, err2(2)
    character(len=80) :: filename
    character(len=300) :: lines(2)
 
    push_sub(states_elec_dump_rho)
 
    ierr = 0
 
    if (restart_skip(restart)) then
      pop_sub(states_elec_dump_rho)
      return
    end if
 
    if (debug%info) then
      message(1) = "Debug: Writing density restart."
      call messages_info(1)
    end if
 
    call restart_block_signals()
 
    !write the densities
    iunit = restart_open(restart, 'density')
    lines(1) = '#     #spin    #nspin    filename'
    lines(2) = '%densities'
    call restart_write(restart, iunit, lines, 2, err)
    if (err /= 0) ierr = ierr + 1
 
    err2 = 0
    do isp = 1, st%d%nspin
      if (st%d%nspin == 1) then
        write(filename, fmt='(a)') 'density'
      else
        write(filename, fmt='(a,i1)') 'density-sp', isp
      end if
      write(lines(1), '(i8,a,i8,a)') isp, ' | ', st%d%nspin, ' | "'//trim(adjustl(filename))//'"'
      call restart_write(restart, iunit, lines, 1, err)
      if (err /= 0) err2(1) = err2(1) + 1
 
      call restart_write_mesh_function(restart, space, filename, mesh, st%rho(:,isp), err)
      if (err /= 0) err2(2) = err2(2) + 1
 
    end do
    if (err2(1) /= 0) ierr = ierr + 2
    if (err2(2) /= 0) ierr = ierr + 4
 
    lines(1) = '%'
    call restart_write(restart, iunit, lines, 1, err)
    if (err /= 0) ierr = ierr + 8
    if (present(iter)) then
      write(lines(1),'(a,i7)') 'Iter = ', iter
      call restart_write(restart, iunit, lines, 1, err)
      if (err /= 0) ierr = ierr + 16
    end if
    call restart_close(restart, iunit)
 
    call restart_unblock_signals()
 
    if (debug%info) then
      message(1) = "Debug: Writing density restart done."
      call messages_info(1)
    end if
 
    pop_sub(states_elec_dump_rho)
  end subroutine states_elec_dump_rho
 
 
  ! ---------------------------------------------------------
  subroutine states_elec_load_rho(restart, space, st, mesh, ierr)
    type(restart_t),      intent(in)    :: restart
    class(space_t),       intent(in)    :: space
    type(states_elec_t),  intent(inout) :: st
    class(mesh_t),        intent(in)    :: mesh
    integer,              intent(out)   :: ierr
 
    integer              :: err, err2, isp
    character(len=12)    :: filename
 
    push_sub(states_elec_load_rho)
 
    ierr = 0
 
    if (restart_skip(restart)) then
      ierr = -1
      pop_sub(states_elec_load_rho)
      return
    end if
 
    if (debug%info) then
      message(1) = "Debug: Reading density restart."
      call messages_info(1)
    end if
 
    ! skip for now, since we know what the files are going to be called
    !read the densities
!    iunit_rho = io_open(trim(dir)//'/density', restart%namespace, action='write')
!    call iopar_read(st%dom_st_kpt_mpi_grp, iunit_rho, line, err)
!    call iopar_read(st%dom_st_kpt_mpi_grp, iunit_rho, line, err)
!   we could read the iteration 'iter' too, not sure if that is useful.
 
    err2 = 0
    do isp = 1, st%d%nspin
      if (st%d%nspin == 1) then
        write(filename, fmt='(a)') 'density'
      else
        write(filename, fmt='(a,i1)') 'density-sp', isp
      end if
!      if (mpi_grp_is_root(st%dom_st_kpt_mpi_grp)) then
!        read(iunit_rho, '(i8,a,i8,a)') isp, ' | ', st%d%nspin, ' | "'//trim(adjustl(filename))//'"'
!      end if
      call restart_read_mesh_function(restart, space, filename, mesh, st%rho(:,isp), err)
      if (err /= 0) err2 = err2 + 1
 
    end do
    if (err2 /= 0) ierr = ierr + 1
 
    if (debug%info) then
      message(1) = "Debug: Reading density restart done."
      call messages_info(1)
    end if
 
    pop_sub(states_elec_load_rho)
  end subroutine states_elec_load_rho
 
  subroutine states_elec_dump_frozen(restart, space, st, mesh, ierr)
    type(restart_t),      intent(in)    :: restart
    class(space_t),       intent(in)    :: space
    type(states_elec_t),  intent(in)    :: st
    class(mesh_t),        intent(in)    :: mesh
    integer,              intent(out)   :: ierr
 
    integer :: isp, err, err2(2), idir
    character(len=80) :: filename
 
    push_sub(states_elec_dump_frozen)
 
    ierr = 0
 
    assert(allocated(st%frozen_rho))
 
    if (restart_skip(restart)) then
      pop_sub(states_elec_dump_frozen)
      return
    end if
 
    if (debug%info) then
      message(1) = "Debug: Writing frozen densities restart."
      call messages_info(1)
    end if
 
    call restart_block_signals()
 
    err2 = 0
    do isp = 1, st%d%nspin
      if (st%d%nspin == 1) then
        write(filename, fmt='(a)') 'frozen_rho'
      else
        write(filename, fmt='(a,i1)') 'frozen_rho-sp', isp
      end if
 
      call restart_write_mesh_function(restart, space, filename, mesh, st%frozen_rho(:,isp), err)
      if (err /= 0) err2(2) = err2(2) + 1
 
      if (allocated(st%frozen_tau)) then
        if (st%d%nspin == 1) then
          write(filename, fmt='(a)') 'frozen_tau'
        else
          write(filename, fmt='(a,i1)') 'frozen_tau-sp', isp
        end if
        call restart_write_mesh_function(restart, space, filename, mesh, st%frozen_tau(:,isp), err)
        if (err /= 0) err2 = err2 + 1
      end if
 
      if (allocated(st%frozen_gdens)) then
        do idir = 1, space%dim
          if (st%d%nspin == 1) then
            write(filename, fmt='(a,i1)') 'frozen_gdens-dir', idir
          else
            write(filename, fmt='(a,i1,a,i1)') 'frozen_tau-dir', idir, '-', isp
          end if
          call restart_write_mesh_function(restart, space, filename, mesh, st%frozen_gdens(:,idir,isp), err)
          if (err /= 0) err2 = err2 + 1
        end do
      end if
 
      if (allocated(st%frozen_ldens)) then
        if (st%d%nspin == 1) then
          write(filename, fmt='(a)') 'frozen_ldens'
        else
          write(filename, fmt='(a,i1)') 'frozen_ldens-sp', isp
        end if
        call restart_write_mesh_function(restart, space, filename, mesh, st%frozen_ldens(:,isp), err)
        if (err /= 0) err2 = err2 + 1
      end if
 
    end do
    if (err2(1) /= 0) ierr = ierr + 2
    if (err2(2) /= 0) ierr = ierr + 4
 
    call restart_unblock_signals()
 
    if (debug%info) then
      message(1) = "Debug: Writing frozen densities restart done."
      call messages_info(1)
    end if
 
    pop_sub(states_elec_dump_frozen)
  end subroutine states_elec_dump_frozen
 
 
  ! ---------------------------------------------------------
  subroutine states_elec_load_frozen(restart, space, st, mesh, ierr)
    type(restart_t),      intent(in)    :: restart
    class(space_t),       intent(in)    :: space
    type(states_elec_t),  intent(inout) :: st
    class(mesh_t),        intent(in)    :: mesh
    integer,              intent(out)   :: ierr
 
    integer              :: err, err2, isp, idir
    character(len=80)    :: filename
 
    push_sub(states_elec_load_frozen)
 
    assert(allocated(st%frozen_rho))
 
    ierr = 0
 
    if (restart_skip(restart)) then
      ierr = -1
      pop_sub(states_elec_load_frozen)
      return
    end if
 
    if (debug%info) then
      message(1) = "Debug: Reading densities restart."
      call messages_info(1)
    end if
 
    err2 = 0
    do isp = 1, st%d%nspin
      if (st%d%nspin == 1) then
        write(filename, fmt='(a)') 'frozen_rho'
      else
        write(filename, fmt='(a,i1)') 'frozen_rho-sp', isp
      end if
      call restart_read_mesh_function(restart, space, filename, mesh, st%frozen_rho(:,isp), err)
      if (err /= 0) err2 = err2 + 1
 
      if (allocated(st%frozen_tau)) then
        if (st%d%nspin == 1) then
          write(filename, fmt='(a)') 'frozen_tau'
        else
          write(filename, fmt='(a,i1)') 'frozen_tau-sp', isp
        end if
        call restart_read_mesh_function(restart, space, filename, mesh, st%frozen_tau(:,isp), err)
        if (err /= 0) err2 = err2 + 1
      end if
 
      if (allocated(st%frozen_gdens)) then
        do idir = 1, space%dim
          if (st%d%nspin == 1) then
            write(filename, fmt='(a,i1)') 'frozen_gdens-dir', idir
          else
            write(filename, fmt='(a,i1,a,i1)') 'frozen_tau-dir', idir, '-', isp
          end if
          call restart_read_mesh_function(restart, space, filename, mesh, st%frozen_gdens(:,idir,isp), err)
          if (err /= 0) err2 = err2 + 1
        end do
      end if
 
      if (allocated(st%frozen_ldens)) then
        if (st%d%nspin == 1) then
          write(filename, fmt='(a)') 'frozen_ldens'
        else
          write(filename, fmt='(a,i1)') 'frozen_ldens-sp', isp
        end if
        call restart_read_mesh_function(restart, space, filename, mesh, st%frozen_ldens(:,isp), err)
        if (err /= 0) err2 = err2 + 1
      end if
 
    end do
    if (err2 /= 0) ierr = ierr + 1
 
    if (debug%info) then
      message(1) = "Debug: Reading frozen densities restart done."
      call messages_info(1)
    end if
 
    pop_sub(states_elec_load_frozen)
  end subroutine states_elec_load_frozen
 
 
  ! ---------------------------------------------------------
  subroutine states_elec_read_user_def_orbitals(mesh, namespace, space, st)
    class(mesh_t),       intent(in)    :: mesh
    type(namespace_t),   intent(in)    :: namespace
    class(space_t),      intent(in)    :: space
    type(states_elec_t), intent(inout) :: st
 
    type(block_t) :: blk
    integer :: ip, id, is, ik, nstates, state_from, ierr, ncols
    integer :: ib, idim, inst, inik, normalize
    real(real64) :: xx(space%dim), rr, psi_re, psi_im
    character(len=150) :: filename
    complex(real64), allocatable :: zpsi(:, :)
 
    integer, parameter ::           &
      state_from_formula  = 1,      &
      state_from_file     = -10010, &
      normalize_yes       = 1,      &
      normalize_no        = 0
 
    push_sub(states_elec_read_user_def_orbitals)
 
    !%Variable UserDefinedStates
    !%Type block
    !%Section States
    !%Description
    !% Instead of using the ground state as initial state for
    !% time-propagations it might be interesting in some cases
    !% to specify alternate states. Like with user-defined
    !% potentials, this block allows you to specify formulas for
    !% the orbitals at <i>t</i>=0.
    !%
    !% Example:
    !%
    !% <tt>%UserDefinedStates
    !% <br>&nbsp;&nbsp; 1 | 1 | 1 | formula | "exp(-r^2)*exp(-i*0.2*x)" | normalize_yes
    !% <br>%</tt>
    !%
    !% The first column specifies the component of the spinor,
    !% the second column the number of the state and the third
    !% contains <i>k</i>-point and spin quantum numbers. Column four
    !% indicates that column five should be interpreted as a formula
    !% for the corresponding orbital.
    !%
    !% Alternatively, if column four states <tt>file</tt> the state will
    !% be read from the file given in column five.
    !%
    !% <tt>%UserDefinedStates
    !% <br>&nbsp;&nbsp; 1 | 1 | 1 | file | "/path/to/file" | normalize_no
    !% <br>%</tt>
    !%
    !% Octopus reads first the ground-state orbitals from
    !% the <tt>restart/gs</tt> directory. Only the states that are
    !% specified in the above block will be overwritten with
    !% the given analytic expression for the orbital.
    !%
    !% The sixth (optional) column indicates whether <tt>Octopus</tt> should renormalize
    !% the orbital. The default (no sixth column given) is to renormalize.
    !%
    !%Option file -10010
    !% Read initial orbital from file.
    !% Accepted file formats, detected by extension: obf, ncdf and csv (real only).
    !%Option formula 1
    !% Calculate initial orbital by given analytic expression.
    !%Option normalize_yes 1
    !% Normalize orbitals (default).
    !%Option normalize_no 0
    !% Do not normalize orbitals.
    !%End
    if (parse_block(namespace, 'UserDefinedStates', blk) == 0) then
 
      call messages_print_with_emphasis(msg=trim('Substitution of orbitals'), namespace=namespace)
 
      ! find out how many lines (i.e. states) the block has
      nstates = parse_block_n(blk)
 
      safe_allocate(zpsi(1:mesh%np, 1:st%d%dim))
 
      ! read all lines
      do ib = 1, nstates
        ! Check that number of columns is five or six.
        ncols = parse_block_cols(blk, ib - 1)
        if (ncols  <  5 .or. ncols > 6) then
          message(1) = 'Each line in the UserDefinedStates block must have'
          message(2) = 'five or six columns.'
          call messages_fatal(2, namespace=namespace)
        end if
 
        call parse_block_integer(blk, ib - 1, 0, idim)
        call parse_block_integer(blk, ib - 1, 1, inst)
        call parse_block_integer(blk, ib - 1, 2, inik)
 
        ! Calculate from expression or read from file?
        call parse_block_integer(blk, ib - 1, 3, state_from)
 
        ! loop over all states
        do id = 1, st%d%dim
          do is = 1, st%nst
            do ik = 1, st%nik
 
              if (.not.(id == idim .and. is == inst .and. ik == inik )) cycle
 
              ! We first parse the value, such that the parsing and stdout looks correct
              ! However, if rank 0 is not responsible for the parsing, the variables in the formula
              ! will still appear as not parsed (pure k-point/state parallelization case).
              ! This could be solved by a dummy call to parse_expression
              select case (state_from)
              case (state_from_formula)
                ! parse formula string
                call parse_block_string(                            &
                  blk, ib - 1, 4, st%user_def_states(id, is, ik))
 
                write(message(1), '(a,3i5)') 'Substituting state of orbital with k, ist, dim = ', ik, is, id
                write(message(2), '(2a)') '  with the expression:'
                write(message(3), '(2a)') '  ',trim(st%user_def_states(id, is, ik))
                call messages_info(3, namespace=namespace)
 
                ! convert to C string
                call conv_to_c_string(st%user_def_states(id, is, ik))
 
              case (state_from_file)
                ! The input format can be coded in column four now. As it is
                ! not used now, we just say "file".
                ! Read the filename.
                call parse_block_string(blk, ib - 1, 4, filename)
 
                write(message(1), '(a,3i5)') 'Substituting state of orbital with k, ist, dim = ', ik, is, id
                write(message(2), '(2a)') '  with data from file:'
                write(message(3), '(2a)') '  ',trim(filename)
                call messages_info(3, namespace=namespace)
              end select
 
 
              ! does the block entry match and is this node responsible?
              if (.not.(st%st_start  <=  is .and. st%st_end >= is          &
                .and. st%d%kpt%start  <=  ik .and. st%d%kpt%end >= ik)) cycle
 
              select case (state_from)
 
              case (state_from_formula)
                ! fill states with user-defined formulas
                do ip = 1, mesh%np
                  xx = mesh%x(ip, :)
                  rr = norm2(xx)
 
                  ! parse user-defined expressions
                  call parse_expression(psi_re, psi_im, space%dim, xx, rr, m_zero, st%user_def_states(id, is, ik))
                  ! fill state
                  zpsi(ip, 1) = psi_re + m_zi * psi_im
                end do
 
              case (state_from_file)
                ! finally read the state
                call zio_function_input(filename, namespace, space, mesh, zpsi(:, 1), ierr)
                if (ierr > 0) then
                  message(1) = 'Could not read the file!'
                  write(message(2),'(a,i1)') 'Error code: ', ierr
                  call messages_fatal(2, namespace=namespace)
                end if
 
              case default
                message(1) = 'Wrong entry in UserDefinedStates, column 4.'
                message(2) = 'You may state "formula" or "file" here.'
                call messages_fatal(2, namespace=namespace)
              end select
 
              ! normalize orbital
              if (parse_block_cols(blk, ib - 1) == 6) then
                call parse_block_integer(blk, ib - 1, 5, normalize)
              else
                normalize = 1
              end if
              select case (normalize)
              case (normalize_no)
                call states_elec_set_state(st, mesh, id, is, ik, zpsi(:, 1))
              case (normalize_yes)
                assert(st%d%dim == 1)
                call zmf_normalize(mesh, st%d%dim, zpsi)
                call states_elec_set_state(st, mesh, is, ik, zpsi)
              case default
                message(1) = 'The sixth column in UserDefinedStates may either be'
                message(2) = '"normalize_yes" or "normalize_no"'
                call messages_fatal(2, namespace=namespace)
              end select
 
            end do
          end do
        end do
 
      end do
 
      safe_deallocate_a(zpsi)
 
      call parse_block_end(blk)
      call messages_print_with_emphasis(namespace=namespace)
 
    else
      call messages_variable_is_block(namespace, 'UserDefinedStates')
    end if
 
    pop_sub(states_elec_read_user_def_orbitals)
  end subroutine states_elec_read_user_def_orbitals
 
  ! ---------------------------------------------------------
  ! This is needed as for the generalized Bloch theorem we need to label
  ! the states from the expectation value of Sz computed from the GS.
  subroutine states_elec_dump_spin(restart, st, ierr)
    type(restart_t),      intent(in)  :: restart
    type(states_elec_t),  intent(in)  :: st
    integer,              intent(out) :: ierr
 
    integer :: iunit_spin
    integer :: err, err2(2), ik, ist
    character(len=300) :: lines(3)
 
    push_sub(states_elec_dump_spin)
 
    ierr = 0
 
    if (restart_skip(restart)) then
      pop_sub(states_elec_dump_spin)
      return
    end if
 
    call profiling_in("RESTART_WRITE_SPIN")
 
    call restart_block_signals()
 
    iunit_spin = restart_open(restart, 'spin')
    lines(1) = '#     #k-point            #st       #spin(x) spin(y) spin(z)'
    call restart_write(restart, iunit_spin, lines, 1, err)
    if (err /= 0) ierr = ierr + 1
 
    err2 = 0
    do ik = 1, st%nik
      do ist = 1, st%nst
        write(lines(1), '(i8,a,i8,3(a,f18.12))') ik, ' | ', ist, ' | ', &
          st%spin(1,ist,ik), ' | ', st%spin(2,ist,ik),' | ', st%spin(3,ist,ik)
        call restart_write(restart, iunit_spin, lines, 1, err)
        if (err /= 0) err2(1) = err2(1) + 1
      end do ! st%nst
    end do ! st%nik
    lines(1) = '%'
    call restart_write(restart, iunit_spin, lines, 1, err)
    if (err2(1) /= 0) ierr = ierr + 8
    if (err2(2) /= 0) ierr = ierr + 16
 
    call restart_close(restart, iunit_spin)
 
    call restart_unblock_signals()
 
    call profiling_out("RESTART_WRITE_SPIN")
    pop_sub(states_elec_dump_spin)
  end subroutine states_elec_dump_spin
 
 
 
 
  ! ---------------------------------------------------------
  subroutine states_elec_load_spin(restart, st, ierr)
    type(restart_t),            intent(in)    :: restart
    type(states_elec_t),        intent(inout) :: st
    integer,                    intent(out)   :: ierr
 
    integer              :: spin_file, err, ik, ist
    character(len=256)   :: lines(3)
    real(real64)         :: spin(3)
    character(len=1)     :: char
 
 
    push_sub(states_elec_load_spin)
 
    ierr = 0
 
    if (restart_skip(restart)) then
      ierr = -1
      pop_sub(states_elec_load_spin)
      return
    end if
 
    call profiling_in("RESTART_READ_SPIN")
 
    ! open files to read
    spin_file = restart_open(restart, 'spin')
    ! Skip two lines.
    call restart_read(restart, spin_file, lines, 1, err)
    if (err /= 0) ierr = ierr - 2**7
 
    ! If any error occured up to this point then it is not worth continuing,
    ! as there something fundamentally wrong with the restart files
    if (ierr /= 0) then
      call restart_close(restart, spin_file)
      call profiling_out("RESTART_READ_SPIN")
      pop_sub(states_elec_load_spin)
      return
    end if
 
    ! Next we read the list of states from the files.
    ! Errors in reading the information of a specific state from the files are ignored
    ! at this point, because later we will skip reading the wavefunction of that state.
    do
      call restart_read(restart, spin_file, lines, 1, err)
      read(lines(1), '(a)') char
      if (char == '%') then
        !We reached the end of the file
        exit
      else
        read(lines(1), *) ik, char, ist, char,  spin(1), char, spin(2), char, spin(3)
      end if
 
      if (err /= 0) cycle
 
      st%spin(1:3, ist, ik) = spin(1:3)
    end do
 
    call restart_close(restart, spin_file)
 
    call profiling_out("RESTART_READ_SPIN")
    pop_sub(states_elec_load_spin)
  end subroutine states_elec_load_spin
 
  ! ---------------------------------------------------------
  subroutine states_elec_transform(st, namespace, space, restart, mesh, kpoints, prefix)
    type(states_elec_t),        intent(inout) :: st
    type(namespace_t),          intent(in)    :: namespace
    class(space_t),             intent(in)    :: space
    type(restart_t),            intent(inout) :: restart
    class(mesh_t),              intent(in)    :: mesh
    type(kpoints_t),            intent(in)    :: kpoints
    character(len=*), optional, intent(in)    :: prefix
 
    type(states_elec_t) :: stin
    type(block_t) :: blk
    complex(real64), allocatable :: rotation_matrix(:,:), psi(:, :)
    integer :: ist, jst, ncols, iqn
    character(len=256) :: block_name
 
    push_sub(states_elec_transform)
 
    block_name = trim(optional_default(prefix, "")) // "TransformStates"
 
    !%Variable TransformStates
    !%Type block
    !%Default no
    !%Section States
    !%Description
    !% Before starting the <tt>td</tt> calculation, the initial states (that are
    !% read from the <tt>restart/gs</tt> directory, which should have been
    !% generated in a previous ground-state calculation) can be "transformed"
    !% among themselves. The block <tt>TransformStates</tt> gives the transformation matrix
    !% to be used. The number of rows and columns of the matrix should equal the number
    !% of the states present in the time-dependent calculation (the independent
    !% spin and <i>k</i>-point subspaces are all transformed equally); the number of
    !% columns should be equal to the number of states present in the
    !% <tt>restart/gs</tt> directory. This number may be different: for example,
    !% one could have run previously in <tt>unocc</tt> mode in order to obtain unoccupied
    !% Kohn-Sham states, and therefore <tt>restart/gs</tt> will contain more states.
    !% These states can be used in the transformation.
    !%
    !% Note that the code will not check the orthonormality of the new states!
    !%
    !% Each line provides the coefficients of the new states, in terms of
    !% the old ones. The coefficients are complex, but the imaginary part will be
    !% ignored for real wavefunctions.
    !% Note: This variable cannot be used when parallel in states.
    !%End
    if (parse_is_defined(namespace, trim(block_name))) then
      if (parse_block(namespace, trim(block_name), blk) == 0) then
        if (st%parallel_in_states) then
          call messages_not_implemented(trim(block_name) // " parallel in states", namespace=namespace)
        end if
        if (parse_block_n(blk) /= st%nst) then
          message(1) = "Number of rows in block " // trim(block_name) // " must equal number of states in this calculation."
          call messages_fatal(1, namespace=namespace)
        end if
        call states_elec_copy(stin, st, exclude_wfns = .true.)
        call states_elec_look_and_load(restart, namespace, space, stin, mesh, kpoints)
 
        ! FIXME: rotation matrix should be R_TYPE
        safe_allocate(rotation_matrix(1:stin%nst, 1:stin%nst))
        safe_allocate(psi(1:mesh%np, 1:st%d%dim))
 
        rotation_matrix = diagonal_matrix(stin%nst, m_z1)
 
        do ist = 1, st%nst
          ncols = parse_block_cols(blk, ist-1)
          if (ncols /= stin%nst) then
            write(message(1),'(a,i6,a,i6,3a,i6,a)') "Number of columns (", ncols, ") in row ", ist, " of block ", &
              trim(block_name), " must equal number of states (", stin%nst, ") read from gs restart."
            call messages_fatal(1, namespace=namespace)
          end if
          do jst = 1, stin%nst
            call parse_block_cmplx(blk, ist - 1, jst - 1, rotation_matrix(jst, ist))
          end do
        end do
 
        call parse_block_end(blk)
 
        do iqn = st%d%kpt%start, st%d%kpt%end
          if (states_are_real(st)) then
            call states_elec_rotate(stin, namespace, mesh, real(rotation_matrix, real64) , iqn)
          else
            call states_elec_rotate(stin, namespace, mesh, rotation_matrix, iqn)
          end if
 
          do ist = st%st_start, st%st_end
            call states_elec_get_state(stin, mesh, ist, iqn, psi)
            call states_elec_set_state(st, mesh, ist, iqn, psi)
          end do
 
        end do
 
        safe_deallocate_a(rotation_matrix)
        safe_deallocate_a(psi)
 
        call states_elec_end(stin)
 
      else
        call messages_variable_is_block(namespace, trim(block_name))
      end if
 
    end if
 
    pop_sub(states_elec_transform)
  end subroutine states_elec_transform
 
end module states_elec_restart_oct_m
 
 
!! Local Variables:
!! mode: f90
!! coding: utf-8
!! End: