xc.F

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!--------------------------------------------------------------------------------------------------!
!   CP2K: A general program to perform molecular dynamics simulations                              !
!   Copyright 2000-2026 CP2K developers group <https://cp2k.org>                                   !
!                                                                                                  !
!   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
!--------------------------------------------------------------------------------------------------!
 
! **************************************************************************************************
!> \brief Exchange and Correlation functional calculations
!> \par History
!>      (13-Feb-2001) JGH, based on earlier version of apsi
!>      02.2003 Many many changes [fawzi]
!>      03.2004 new xc interface [fawzi]
!>      04.2004 kinetic functionals [fawzi]
!> \author fawzi
! **************************************************************************************************
MODULE xc
   USE cp_array_utils, ONLY: cp_3d_r_cp_type
   USE cp_linked_list_xc_deriv, ONLY: cp_sll_xc_deriv_next, &
                                      cp_sll_xc_deriv_type
   USE cp_log_handling, ONLY: cp_get_default_logger, &
                              cp_logger_get_default_unit_nr, &
                              cp_logger_type, &
                              cp_to_string
   USE input_section_types, ONLY: section_get_ival, &
                                  section_get_lval, &
                                  section_get_rval, &
                                  section_vals_get_subs_vals, &
                                  section_vals_type, &
                                  section_vals_val_get
   USE kahan_sum, ONLY: accurate_dot_product, &
                        accurate_sum
   USE kinds, ONLY: default_path_length, &
                    dp
   USE pw_grid_types, ONLY: pw_mode_distributed, &
                            pw_grid_type
   USE pw_methods, ONLY: pw_axpy, &
                         pw_copy, &
                         pw_copy_to_array, &
                         pw_derive, &
                         pw_multiply_with, &
                         pw_scale, &
                         pw_transfer, &
                         pw_zero, pw_integrate_function, pw_integral_ab
   USE pw_pool_types, ONLY: &
      pw_pool_type
   USE pw_types, ONLY: &
      pw_c1d_gs_type, pw_r3d_rs_type
   USE xc_derivative_desc, ONLY: &
      deriv_rho, deriv_rhoa, deriv_rhob, &
      deriv_norm_drhoa, deriv_norm_drhob, deriv_norm_drho, deriv_tau_a, deriv_tau_b, deriv_tau, &
      deriv_laplace_rho, deriv_laplace_rhoa, deriv_laplace_rhob, id_to_desc, &
      deriv_gamma, deriv_gamma_aa, deriv_gamma_ab, deriv_gamma_bb
   USE xc_derivative_set_types, ONLY: xc_derivative_set_type, &
                                      xc_dset_create, &
                                      xc_dset_get_derivative, &
                                      xc_dset_release, &
                                      xc_dset_zero_all, xc_dset_recover_pw
   USE xc_derivative_types, ONLY: xc_derivative_get, &
                                  xc_derivative_type
   USE xc_derivatives, ONLY: xc_functionals_eval, &
                             xc_functionals_get_needs
   USE xc_gauxc_functional, ONLY: xc_section_uses_gauxc
#if defined(__LIBXC)
   USE xc_libxc, ONLY: libxc_set_backend
#endif
   USE xc_rho_cflags_types, ONLY: xc_rho_cflags_type
   USE xc_rho_set_types, ONLY: xc_rho_set_create, &
                               xc_rho_set_get, &
                               xc_rho_set_release, &
                               xc_rho_set_type, &
                               xc_rho_set_update, xc_rho_set_recover_pw
   USE xc_util, ONLY: xc_pw_smooth, xc_pw_laplace, xc_pw_divergence, xc_requires_tmp_g
#include "../base/base_uses.f90"
 
   IMPLICIT NONE
   PRIVATE
   PUBLIC :: xc_vxc_pw_create, xc_exc_pw_create, &
             xc_exc_calc, xc_calc_2nd_deriv_analytical, xc_calc_2nd_deriv_numerical, xc_calc_3rd_deriv_analytical, &
             xc_calc_2nd_deriv, xc_prep_2nd_deriv, xc_prep_3rd_deriv, divide_by_norm_drho, smooth_cutoff, &
             xc_uses_kinetic_energy_density, xc_uses_norm_drho
   PUBLIC :: calc_xc_density
 
   LOGICAL, PRIVATE, PARAMETER :: debug_this_module = .true.
   CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'xc'
   CHARACTER(len=*), PARAMETER, PRIVATE :: gauxc_high_deriv_message = &
                                           "Response and kernel properties with GauXC/Skala require higher XC derivatives, "// &
                                      "which are not implemented. Use a native CP2K XC functional or disable the coupled XC kernel."
 
CONTAINS
 
! **************************************************************************************************
!> \brief ...
!> \param xc_fun_section ...
!> \param lsd ...
!> \return ...
! **************************************************************************************************
   FUNCTION xc_uses_kinetic_energy_density(xc_fun_section, lsd) RESULT(res)
      TYPE(section_vals_type), POINTER, INTENT(IN) :: xc_fun_section
      LOGICAL, INTENT(IN) :: lsd
      LOGICAL :: res
 
      TYPE(xc_rho_cflags_type)                           :: needs
 
      needs = xc_functionals_get_needs(xc_fun_section, &
                                       lsd=lsd, &
                                       calc_potential=.false.)
      res = (needs%tau_spin .OR. needs%tau)
 
   END FUNCTION xc_uses_kinetic_energy_density
 
! **************************************************************************************************
!> \brief ...
!> \param xc_fun_section ...
!> \param lsd ...
!> \return ...
! **************************************************************************************************
   FUNCTION xc_uses_norm_drho(xc_fun_section, lsd) RESULT(res)
      TYPE(section_vals_type), POINTER, INTENT(IN) :: xc_fun_section
      LOGICAL, INTENT(IN) :: lsd
      LOGICAL :: res
 
      TYPE(xc_rho_cflags_type)                           :: needs
 
      needs = xc_functionals_get_needs(xc_fun_section, &
                                       lsd=lsd, &
                                       calc_potential=.false.)
      res = (needs%norm_drho .OR. needs%norm_drho_spin)
 
   END FUNCTION xc_uses_norm_drho
 
! **************************************************************************************************
!> \brief creates a xc_rho_set and a derivative set containing the derivatives
!>      of the functionals with the given deriv_order.
!> \param rho_set will contain the rho set
!> \param deriv_set will contain the derivatives
!> \param deriv_order the maximum order of the requested derivatives.
!> \param rho_r the value of the density in the real space
!> \param rho_g value of the density in the g space (can be null, used only
!>        without smoothing of rho or deriv)
!> \param tau value of the kinetic density tau on the grid (can be null,
!>        used only with meta functionals)
!> \param xc_section the section describing the functional to use
!> \param pw_pool the pool for the grids
!> \param weights integration weights
!> \param calc_potential if the basic components of the arguments
!>        should be kept in rho set (a basic component is for example drho
!>        when with lda a functional needs norm_drho)
!> \author fawzi
!> \note
!>      if any of the functionals is gradient corrected the full gradient is
!>      added to the rho set
! **************************************************************************************************
   SUBROUTINE xc_rho_set_and_dset_create(rho_set, deriv_set, deriv_order, &
                                         rho_r, rho_g, tau, xc_section, pw_pool, &
                                         weights, calc_potential)
 
      TYPE(xc_rho_set_type)                              :: rho_set
      TYPE(xc_derivative_set_type)                       :: deriv_set
      INTEGER, INTENT(in)                                :: deriv_order
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r, tau
      TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho_g
      TYPE(section_vals_type), POINTER                   :: xc_section
      TYPE(pw_pool_type), POINTER                        :: pw_pool
      TYPE(pw_r3d_rs_type), POINTER                      :: weights
      LOGICAL, INTENT(in)                                :: calc_potential
 
      CHARACTER(len=*), PARAMETER :: routinen = 'xc_rho_set_and_dset_create'
 
      INTEGER                                            :: handle, nspins
      LOGICAL                                            :: lsd
      TYPE(xc_derivative_type), POINTER                  :: deriv_att
      TYPE(cp_sll_xc_deriv_type), POINTER                :: pos
      TYPE(section_vals_type), POINTER                   :: xc_fun_sections
 
      CALL timeset(routinen, handle)
 
#if defined(__LIBXC)
      ! Apply the runtime LibXC backend selection from &XC/LIBXC_GPU_BACKEND.
      CALL libxc_set_backend(section_get_ival(xc_section, "LIBXC_GPU_BACKEND"))
#endif
 
      cpassert(ASSOCIATED(pw_pool))
 
      nspins = SIZE(rho_r)
      lsd = (nspins /= 1)
 
      xc_fun_sections => section_vals_get_subs_vals(xc_section, "XC_FUNCTIONAL")
 
      ! Create deriv_set object
      CALL xc_dset_create(deriv_set, pw_pool)
 
      ! Create objects for density related stuff
      CALL xc_rho_set_create(rho_set, &
                             rho_r(1)%pw_grid%bounds_local, &
                             rho_cutoff=section_get_rval(xc_section, "density_cutoff"), &
                             drho_cutoff=section_get_rval(xc_section, "gradient_cutoff"), &
                             tau_cutoff=section_get_rval(xc_section, "tau_cutoff"))
 
      ! Calculate density stuff, for example the gradient of rho, according to the functional needs
      CALL xc_rho_set_update(rho_set, rho_r, rho_g, tau, &
                             xc_functionals_get_needs(xc_fun_sections, lsd, calc_potential), &
                             section_get_ival(xc_section, "XC_GRID%XC_DERIV"), &
                             section_get_ival(xc_section, "XC_GRID%XC_SMOOTH_RHO"), &
                             pw_pool)
 
      ! Calculate values of the functional on the grid
      CALL xc_functionals_eval(xc_fun_sections, &
                               lsd=lsd, &
                               rho_set=rho_set, &
                               deriv_set=deriv_set, &
                               deriv_order=deriv_order)
 
      ! apply weights
      IF (ASSOCIATED(weights)) THEN
         pos => deriv_set%derivs
         DO WHILE (cp_sll_xc_deriv_next(pos, el_att=deriv_att))
            deriv_att%deriv_data(:, :, :) = weights%array(:, :, :)*deriv_att%deriv_data(:, :, :)
         END DO
      END IF
 
      CALL divide_by_norm_drho(deriv_set, rho_set, lsd)
 
      CALL timestop(handle)
 
   END SUBROUTINE xc_rho_set_and_dset_create
 
! **************************************************************************************************
!> \brief smooths the cutoff on rho with a function smoothderiv_rho that is 0
!>      for rho<rho_cutoff and 1 for rho>rho_cutoff*rho_smooth_cutoff_range:
!>      E= integral e_0*smoothderiv_rho => dE/d...= de/d... * smooth,
!>      dE/drho = de/drho * smooth + e_0 * dsmooth/drho
!> \param pot the potential to smooth
!> \param rho , rhoa,rhob: the value of the density (used to apply the cutoff)
!> \param rhoa ...
!> \param rhob ...
!> \param rho_cutoff the value at whch the cutoff function must go to 0
!> \param rho_smooth_cutoff_range range of the smoothing
!> \param e_0 value of e_0, if given it is assumed that pot is the derivative
!>        wrt. to rho, and needs the dsmooth*e_0 contribution
!> \param e_0_scale_factor ...
!> \author Fawzi Mohamed
! **************************************************************************************************
   SUBROUTINE smooth_cutoff(pot, rho, rhoa, rhob, rho_cutoff, &
                            rho_smooth_cutoff_range, e_0, e_0_scale_factor)
      REAL(kind=dp), DIMENSION(:, :, :), INTENT(IN), &
         POINTER                                         :: pot, rho, rhoa, rhob
      REAL(kind=dp), INTENT(in)                          :: rho_cutoff, rho_smooth_cutoff_range
      REAL(kind=dp), DIMENSION(:, :, :), OPTIONAL, &
         POINTER                                         :: e_0
      REAL(kind=dp), INTENT(in), OPTIONAL                :: e_0_scale_factor
 
      INTEGER                                            :: i, j, k
      INTEGER, DIMENSION(2, 3)                           :: bo
      REAL(kind=dp) :: my_e_0_scale_factor, my_rho, my_rho_n, my_rho_n2, rho_smooth_cutoff, &
                       rho_smooth_cutoff_2, rho_smooth_cutoff_range_2
 
      cpassert(ASSOCIATED(pot))
      bo(1, :) = lbound(pot)
      bo(2, :) = ubound(pot)
      my_e_0_scale_factor = 1.0_dp
      IF (PRESENT(e_0_scale_factor)) my_e_0_scale_factor = e_0_scale_factor
      rho_smooth_cutoff = rho_cutoff*rho_smooth_cutoff_range
      rho_smooth_cutoff_2 = (rho_cutoff + rho_smooth_cutoff)/2
      rho_smooth_cutoff_range_2 = rho_smooth_cutoff_2 - rho_cutoff
 
      IF (rho_smooth_cutoff_range > 0.0_dp) THEN
         IF (PRESENT(e_0)) THEN
            cpassert(ASSOCIATED(e_0))
            IF (ASSOCIATED(rho)) THEN
!$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP             SHARED(bo,e_0,pot,rho,rho_cutoff,rho_smooth_cutoff,rho_smooth_cutoff_2, &
!$OMP                    rho_smooth_cutoff_range_2,my_e_0_scale_factor) &
!$OMP             PRIVATE(k,j,i,my_rho,my_rho_n,my_rho_n2) &
!$OMP             COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                        my_rho = rho(i, j, k)
                        IF (my_rho < rho_smooth_cutoff) THEN
                           IF (my_rho < rho_cutoff) THEN
                              pot(i, j, k) = 0.0_dp
                           ELSE IF (my_rho < rho_smooth_cutoff_2) THEN
                              my_rho_n = (my_rho - rho_cutoff)/rho_smooth_cutoff_range_2
                              my_rho_n2 = my_rho_n*my_rho_n
                              pot(i, j, k) = pot(i, j, k)* &
                                             my_rho_n2*(my_rho_n - 0.5_dp*my_rho_n2) + &
                                             my_e_0_scale_factor*e_0(i, j, k)* &
                                             my_rho_n2*(3.0_dp - 2.0_dp*my_rho_n) &
                                             /rho_smooth_cutoff_range_2
                           ELSE
                              my_rho_n = 2.0_dp - (my_rho - rho_cutoff)/rho_smooth_cutoff_range_2
                              my_rho_n2 = my_rho_n*my_rho_n
                              pot(i, j, k) = pot(i, j, k)* &
                                             (1.0_dp - my_rho_n2*(my_rho_n - 0.5_dp*my_rho_n2)) &
                                             + my_e_0_scale_factor*e_0(i, j, k)* &
                                             my_rho_n2*(3.0_dp - 2.0_dp*my_rho_n) &
                                             /rho_smooth_cutoff_range_2
                           END IF
                        END IF
                     END DO
                  END DO
               END DO
!$OMP END PARALLEL DO
            ELSE
!$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP             SHARED(bo,pot,e_0,rhoa,rhob,rho_cutoff,rho_smooth_cutoff,rho_smooth_cutoff_2, &
!$OMP                    rho_smooth_cutoff_range_2,my_e_0_scale_factor) &
!$OMP             PRIVATE(k,j,i,my_rho,my_rho_n,my_rho_n2) &
!$OMP             COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                        my_rho = rhoa(i, j, k) + rhob(i, j, k)
                        IF (my_rho < rho_smooth_cutoff) THEN
                           IF (my_rho < rho_cutoff) THEN
                              pot(i, j, k) = 0.0_dp
                           ELSE IF (my_rho < rho_smooth_cutoff_2) THEN
                              my_rho_n = (my_rho - rho_cutoff)/rho_smooth_cutoff_range_2
                              my_rho_n2 = my_rho_n*my_rho_n
                              pot(i, j, k) = pot(i, j, k)* &
                                             my_rho_n2*(my_rho_n - 0.5_dp*my_rho_n2) + &
                                             my_e_0_scale_factor*e_0(i, j, k)* &
                                             my_rho_n2*(3.0_dp - 2.0_dp*my_rho_n) &
                                             /rho_smooth_cutoff_range_2
                           ELSE
                              my_rho_n = 2.0_dp - (my_rho - rho_cutoff)/rho_smooth_cutoff_range_2
                              my_rho_n2 = my_rho_n*my_rho_n
                              pot(i, j, k) = pot(i, j, k)* &
                                             (1.0_dp - my_rho_n2*(my_rho_n - 0.5_dp*my_rho_n2)) &
                                             + my_e_0_scale_factor*e_0(i, j, k)* &
                                             my_rho_n2*(3.0_dp - 2.0_dp*my_rho_n) &
                                             /rho_smooth_cutoff_range_2
                           END IF
                        END IF
                     END DO
                  END DO
               END DO
!$OMP END PARALLEL DO
            END IF
         ELSE
            IF (ASSOCIATED(rho)) THEN
!$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP             SHARED(bo,pot,rho_cutoff,rho_smooth_cutoff,rho_smooth_cutoff_2, &
!$OMP                    rho_smooth_cutoff_range_2,rho) &
!$OMP             PRIVATE(k,j,i,my_rho,my_rho_n,my_rho_n2) &
!$OMP             COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                        my_rho = rho(i, j, k)
                        IF (my_rho < rho_smooth_cutoff) THEN
                           IF (my_rho < rho_cutoff) THEN
                              pot(i, j, k) = 0.0_dp
                           ELSE IF (my_rho < rho_smooth_cutoff_2) THEN
                              my_rho_n = (my_rho - rho_cutoff)/rho_smooth_cutoff_range_2
                              my_rho_n2 = my_rho_n*my_rho_n
                              pot(i, j, k) = pot(i, j, k)* &
                                             my_rho_n2*(my_rho_n - 0.5_dp*my_rho_n2)
                           ELSE
                              my_rho_n = 2.0_dp - (my_rho - rho_cutoff)/rho_smooth_cutoff_range_2
                              my_rho_n2 = my_rho_n*my_rho_n
                              pot(i, j, k) = pot(i, j, k)* &
                                             (1.0_dp - my_rho_n2*(my_rho_n - 0.5_dp*my_rho_n2))
                           END IF
                        END IF
                     END DO
                  END DO
               END DO
!$OMP END PARALLEL DO
            ELSE
!$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP             SHARED(bo,pot,rho_cutoff,rho_smooth_cutoff,rho_smooth_cutoff_2, &
!$OMP                    rho_smooth_cutoff_range_2,rhoa,rhob) &
!$OMP             PRIVATE(k,j,i,my_rho,my_rho_n,my_rho_n2) &
!$OMP             COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                        my_rho = rhoa(i, j, k) + rhob(i, j, k)
                        IF (my_rho < rho_smooth_cutoff) THEN
                           IF (my_rho < rho_cutoff) THEN
                              pot(i, j, k) = 0.0_dp
                           ELSE IF (my_rho < rho_smooth_cutoff_2) THEN
                              my_rho_n = (my_rho - rho_cutoff)/rho_smooth_cutoff_range_2
                              my_rho_n2 = my_rho_n*my_rho_n
                              pot(i, j, k) = pot(i, j, k)* &
                                             my_rho_n2*(my_rho_n - 0.5_dp*my_rho_n2)
                           ELSE
                              my_rho_n = 2.0_dp - (my_rho - rho_cutoff)/rho_smooth_cutoff_range_2
                              my_rho_n2 = my_rho_n*my_rho_n
                              pot(i, j, k) = pot(i, j, k)* &
                                             (1.0_dp - my_rho_n2*(my_rho_n - 0.5_dp*my_rho_n2))
                           END IF
                        END IF
                     END DO
                  END DO
               END DO
!$OMP END PARALLEL DO
            END IF
         END IF
      END IF
   END SUBROUTINE smooth_cutoff
 
   SUBROUTINE calc_xc_density(pot, rho, rho_cutoff)
      TYPE(pw_r3d_rs_type), INTENT(INOUT)                       :: pot
      TYPE(pw_r3d_rs_type), DIMENSION(:), INTENT(INOUT)         :: rho
      REAL(kind=dp), INTENT(in)                          :: rho_cutoff
 
      INTEGER                                            :: i, j, k, nspins
      INTEGER, DIMENSION(2, 3)                           :: bo
      REAL(kind=dp)                                      :: eps1, eps2, my_rho, my_pot
 
      bo(1, :) = lbound(pot%array)
      bo(2, :) = ubound(pot%array)
      nspins = SIZE(rho)
 
      eps1 = rho_cutoff*1.e-4_dp
      eps2 = rho_cutoff
 
      DO k = bo(1, 3), bo(2, 3)
         DO j = bo(1, 2), bo(2, 2)
            DO i = bo(1, 1), bo(2, 1)
               my_pot = pot%array(i, j, k)
               IF (nspins == 2) THEN
                  my_rho = rho(1)%array(i, j, k) + rho(2)%array(i, j, k)
               ELSE
                  my_rho = rho(1)%array(i, j, k)
               END IF
               IF (my_rho > eps1) THEN
                  pot%array(i, j, k) = my_pot/my_rho
               ELSE IF (my_rho < eps2) THEN
                  pot%array(i, j, k) = 0.0_dp
               ELSE
                  pot%array(i, j, k) = min(my_pot/my_rho, my_rho**(1._dp/3._dp))
               END IF
            END DO
         END DO
      END DO
 
   END SUBROUTINE calc_xc_density
 
! **************************************************************************************************
!> \brief Exchange and Correlation functional calculations
!> \param vxc_rho will contain the v_xc part that depend on rho
!>        (if one of the chosen xc functionals has it it is allocated and you
!>        are responsible for it)
!> \param vxc_tau will contain the kinetic tau part of v_xc
!>        (if one of the chosen xc functionals has it it is allocated and you
!>        are responsible for it)
!> \param exc the xc energy
!> \param rho_r the value of the density in the real space
!> \param rho_g value of the density in the g space (needs to be associated
!>        only for gradient corrections)
!> \param tau value of the kinetic density tau on the grid (can be null,
!>        used only with meta functionals)
!> \param xc_section which functional to calculate, and how to do it
!> \param weights integration weights
!> \param pw_pool the pool for the grids
!> \param compute_virial ...
!> \param virial_xc ...
!> \param exc_r the value of the xc functional in the real space
!> \par History
!>      JGH (13-Jun-2002): adaptation to new functionals
!>      Fawzi (11.2002): drho_g(1:3)->drho_g
!>      Fawzi (1.2003). lsd version
!>      Fawzi (11.2003): version using the new xc interface
!>      Fawzi (03.2004): fft free for smoothed density and derivs, gga lsd
!>      Fawzi (04.2004): metafunctionals
!>      mguidon (12.2008) : laplace functionals
!> \author fawzi; based LDA version of JGH, based on earlier version of apsi
!> \note
!>      Beware: some really dirty pointer handling!
!>      energy should be kept consistent with xc_exc_calc
! **************************************************************************************************
   SUBROUTINE xc_vxc_pw_create(vxc_rho, vxc_tau, exc, rho_r, rho_g, tau, xc_section, weights, &
                               pw_pool, compute_virial, virial_xc, exc_r)
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: vxc_rho, vxc_tau
      REAL(kind=dp), INTENT(out)                         :: exc
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r, tau
      TYPE(pw_r3d_rs_type), POINTER                      :: weights
      TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho_g
      TYPE(section_vals_type), POINTER                   :: xc_section
      TYPE(pw_pool_type), POINTER                        :: pw_pool
      LOGICAL                                            :: compute_virial
      REAL(kind=dp), DIMENSION(3, 3), INTENT(OUT)        :: virial_xc
      TYPE(pw_r3d_rs_type), INTENT(INOUT), OPTIONAL      :: exc_r
 
      CHARACTER(len=*), PARAMETER                        :: routinen = 'xc_vxc_pw_create'
      INTEGER, DIMENSION(2), PARAMETER :: norm_drho_spin_name = [deriv_norm_drhoa, deriv_norm_drhob]
 
      INTEGER                                            :: handle, idir, ispin, jdir, &
                                                            npoints, nspins, &
                                                            xc_deriv_method_id, xc_rho_smooth_id, deriv_id
      INTEGER, DIMENSION(2, 3)                           :: bo
      LOGICAL                                            :: dealloc_pw_to_deriv, has_laplace, &
                                                            has_tau, lsd, use_virial, has_gradient, &
                                                            has_derivs, has_rho, dealloc_pw_to_deriv_rho
      REAL(kind=dp)                                      :: density_smooth_cut_range, drho_cutoff, &
                                                            rho_cutoff
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: deriv_data, norm_drho, norm_drho_spin, &
                                                            rho, rhoa, rhob
      TYPE(cp_sll_xc_deriv_type), POINTER                :: pos
      TYPE(pw_grid_type), POINTER                        :: pw_grid
      TYPE(pw_r3d_rs_type), DIMENSION(3)                 :: pw_to_deriv, pw_to_deriv_rho
      TYPE(pw_c1d_gs_type)                               :: tmp_g, vxc_g
      TYPE(pw_r3d_rs_type)                               :: v_drho_r, virial_pw
      TYPE(xc_derivative_set_type)                       :: deriv_set
      TYPE(xc_derivative_type), POINTER                  :: deriv_att
      TYPE(xc_rho_set_type)                              :: rho_set
 
      CALL timeset(routinen, handle)
      NULLIFY (norm_drho_spin, norm_drho, pos)
 
      pw_grid => rho_r(1)%pw_grid
 
      cpassert(ASSOCIATED(xc_section))
      cpassert(ASSOCIATED(pw_pool))
      cpassert(.NOT. ASSOCIATED(vxc_rho))
      cpassert(.NOT. ASSOCIATED(vxc_tau))
      nspins = SIZE(rho_r)
      lsd = (nspins /= 1)
      IF (lsd) THEN
         cpassert(nspins == 2)
      END IF
 
      use_virial = compute_virial
      virial_xc = 0.0_dp
 
      bo = rho_r(1)%pw_grid%bounds_local
      npoints = (bo(2, 1) - bo(1, 1) + 1)*(bo(2, 2) - bo(1, 2) + 1)*(bo(2, 3) - bo(1, 3) + 1)
 
      ! calculate the potential derivatives
      CALL xc_rho_set_and_dset_create(rho_set=rho_set, deriv_set=deriv_set, &
                                      deriv_order=1, rho_r=rho_r, rho_g=rho_g, tau=tau, &
                                      xc_section=xc_section, &
                                      pw_pool=pw_pool, weights=weights, &
                                      calc_potential=.true.)
 
      CALL section_vals_val_get(xc_section, "XC_GRID%XC_DERIV", &
                                i_val=xc_deriv_method_id)
      CALL section_vals_val_get(xc_section, "XC_GRID%XC_SMOOTH_RHO", &
                                i_val=xc_rho_smooth_id)
      CALL section_vals_val_get(xc_section, "DENSITY_SMOOTH_CUTOFF_RANGE", &
                                r_val=density_smooth_cut_range)
 
      CALL xc_rho_set_get(rho_set, rho_cutoff=rho_cutoff, &
                          drho_cutoff=drho_cutoff)
 
      CALL check_for_derivatives(deriv_set, lsd, has_rho, has_gradient, has_tau, has_laplace)
      ! check for unknown derivatives
      has_derivs = has_rho .OR. has_gradient .OR. has_tau .OR. has_laplace
 
      ALLOCATE (vxc_rho(nspins))
 
      CALL xc_rho_set_get(rho_set, rho=rho, rhoa=rhoa, rhob=rhob, &
                          can_return_null=.true.)
 
      ! recover the vxc arrays
      IF (lsd) THEN
         CALL xc_dset_recover_pw(deriv_set, [deriv_rhoa], vxc_rho(1), pw_grid, pw_pool)
         CALL xc_dset_recover_pw(deriv_set, [deriv_rhob], vxc_rho(2), pw_grid, pw_pool)
      ELSE
         CALL xc_dset_recover_pw(deriv_set, [deriv_rho], vxc_rho(1), pw_grid, pw_pool)
      END IF
 
      deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho])
      IF (ASSOCIATED(deriv_att)) THEN
         CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
 
         CALL xc_rho_set_get(rho_set, norm_drho=norm_drho, &
                             rho_cutoff=rho_cutoff, &
                             drho_cutoff=drho_cutoff, &
                             can_return_null=.true.)
         CALL xc_rho_set_recover_pw(rho_set, pw_grid, pw_pool, dealloc_pw_to_deriv_rho, drho=pw_to_deriv_rho)
 
         cpassert(ASSOCIATED(deriv_data))
         IF (use_virial) THEN
            CALL pw_pool%create_pw(virial_pw)
            CALL pw_zero(virial_pw)
            DO idir = 1, 3
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(virial_pw,pw_to_deriv_rho,deriv_data,idir)
               virial_pw%array(:, :, :) = pw_to_deriv_rho(idir)%array(:, :, :)*deriv_data(:, :, :)
!$OMP END PARALLEL WORKSHARE
               DO jdir = 1, idir
                  virial_xc(idir, jdir) = -pw_grid%dvol* &
                                          accurate_dot_product(virial_pw%array(:, :, :), &
                                                               pw_to_deriv_rho(jdir)%array(:, :, :))
                  virial_xc(jdir, idir) = virial_xc(idir, jdir)
               END DO
            END DO
            CALL pw_pool%give_back_pw(virial_pw)
         END IF ! use_virial
         DO idir = 1, 3
            cpassert(ASSOCIATED(pw_to_deriv_rho(idir)%array))
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(deriv_data,pw_to_deriv_rho,idir)
            pw_to_deriv_rho(idir)%array(:, :, :) = pw_to_deriv_rho(idir)%array(:, :, :)*deriv_data(:, :, :)
!$OMP END PARALLEL WORKSHARE
         END DO
 
         ! Deallocate pw to save memory
         CALL pw_pool%give_back_cr3d(deriv_att%deriv_data)
 
      END IF
 
      IF ((has_gradient .AND. xc_requires_tmp_g(xc_deriv_method_id)) .OR. pw_grid%spherical) THEN
         CALL pw_pool%create_pw(vxc_g)
         IF (.NOT. pw_grid%spherical) THEN
            CALL pw_pool%create_pw(tmp_g)
         END IF
      END IF
 
      DO ispin = 1, nspins
 
         IF (lsd) THEN
            IF (ispin == 1) THEN
               CALL xc_rho_set_get(rho_set, norm_drhoa=norm_drho_spin, &
                                   can_return_null=.true.)
               IF (ASSOCIATED(norm_drho_spin)) CALL xc_rho_set_recover_pw( &
                  rho_set, pw_grid, pw_pool, dealloc_pw_to_deriv, drhoa=pw_to_deriv)
            ELSE
               CALL xc_rho_set_get(rho_set, norm_drhob=norm_drho_spin, &
                                   can_return_null=.true.)
               IF (ASSOCIATED(norm_drho_spin)) CALL xc_rho_set_recover_pw( &
                  rho_set, pw_grid, pw_pool, dealloc_pw_to_deriv, drhob=pw_to_deriv)
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [norm_drho_spin_name(ispin)])
            IF (ASSOCIATED(deriv_att)) THEN
               cpassert(lsd)
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
 
               IF (use_virial) THEN
                  CALL pw_pool%create_pw(virial_pw)
                  CALL pw_zero(virial_pw)
                  DO idir = 1, 3
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(deriv_data,pw_to_deriv,virial_pw,idir)
                     virial_pw%array(:, :, :) = pw_to_deriv(idir)%array(:, :, :)*deriv_data(:, :, :)
!$OMP END PARALLEL WORKSHARE
                     DO jdir = 1, idir
                        virial_xc(idir, jdir) = virial_xc(idir, jdir) - pw_grid%dvol* &
                                                accurate_dot_product(virial_pw%array(:, :, :), &
                                                                     pw_to_deriv(jdir)%array(:, :, :))
                        virial_xc(jdir, idir) = virial_xc(idir, jdir)
                     END DO
                  END DO
                  CALL pw_pool%give_back_pw(virial_pw)
               END IF ! use_virial
 
               DO idir = 1, 3
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(deriv_data,idir,pw_to_deriv)
                  pw_to_deriv(idir)%array(:, :, :) = deriv_data(:, :, :)*pw_to_deriv(idir)%array(:, :, :)
!$OMP END PARALLEL WORKSHARE
               END DO
            END IF ! deriv_att
 
         END IF ! LSD
 
         IF (ASSOCIATED(pw_to_deriv_rho(1)%array)) THEN
            IF (.NOT. ASSOCIATED(pw_to_deriv(1)%array)) THEN
               pw_to_deriv = pw_to_deriv_rho
               dealloc_pw_to_deriv = ((.NOT. lsd) .OR. (ispin == 2))
               dealloc_pw_to_deriv = dealloc_pw_to_deriv .AND. dealloc_pw_to_deriv_rho
            ELSE
               ! This branch is called in case of open-shell systems
               ! Add the contributions from norm_drho and norm_drho_spin
               DO idir = 1, 3
                  CALL pw_axpy(pw_to_deriv_rho(idir), pw_to_deriv(idir))
                  IF (ispin == 2) THEN
                     IF (dealloc_pw_to_deriv_rho) THEN
                        CALL pw_pool%give_back_pw(pw_to_deriv_rho(idir))
                     END IF
                  END IF
               END DO
            END IF
         END IF
 
         IF (ASSOCIATED(pw_to_deriv(1)%array)) THEN
            DO idir = 1, 3
               CALL pw_scale(pw_to_deriv(idir), -1.0_dp)
            END DO
 
            CALL xc_pw_divergence(xc_deriv_method_id, pw_to_deriv, tmp_g, vxc_g, vxc_rho(ispin))
 
            IF (dealloc_pw_to_deriv) THEN
               DO idir = 1, 3
                  CALL pw_pool%give_back_pw(pw_to_deriv(idir))
               END DO
            END IF
         END IF
 
         ! Add laplace part to vxc_rho
         IF (has_laplace) THEN
            IF (lsd) THEN
               IF (ispin == 1) THEN
                  deriv_id = deriv_laplace_rhoa
               ELSE
                  deriv_id = deriv_laplace_rhob
               END IF
            ELSE
               deriv_id = deriv_laplace_rho
            END IF
 
            CALL xc_dset_recover_pw(deriv_set, [deriv_id], pw_to_deriv(1), pw_grid)
 
            IF (use_virial) CALL virial_laplace(rho_r(ispin), pw_pool, virial_xc, &
                                                pw_to_deriv(1)%array)
 
            CALL xc_pw_laplace(pw_to_deriv(1), pw_pool, xc_deriv_method_id)
 
            CALL pw_axpy(pw_to_deriv(1), vxc_rho(ispin))
 
            CALL pw_pool%give_back_pw(pw_to_deriv(1))
         END IF
 
         IF (pw_grid%spherical) THEN
            ! filter vxc
            CALL pw_transfer(vxc_rho(ispin), vxc_g)
            CALL pw_transfer(vxc_g, vxc_rho(ispin))
         END IF
         CALL smooth_cutoff(pot=vxc_rho(ispin)%array, rho=rho, rhoa=rhoa, rhob=rhob, &
                            rho_cutoff=rho_cutoff*density_smooth_cut_range, &
                            rho_smooth_cutoff_range=density_smooth_cut_range)
 
         v_drho_r = vxc_rho(ispin)
         CALL pw_pool%create_pw(vxc_rho(ispin))
         CALL xc_pw_smooth(v_drho_r, vxc_rho(ispin), xc_rho_smooth_id)
         CALL pw_pool%give_back_pw(v_drho_r)
      END DO
 
      CALL pw_pool%give_back_pw(vxc_g)
      CALL pw_pool%give_back_pw(tmp_g)
 
      ! 0-deriv -> value of exc
      ! this has to be kept consistent with xc_exc_calc
      IF (has_derivs) THEN
         CALL xc_dset_recover_pw(deriv_set, [INTEGER::], v_drho_r, pw_grid)
 
         CALL smooth_cutoff(pot=v_drho_r%array, rho=rho, rhoa=rhoa, rhob=rhob, &
                            rho_cutoff=rho_cutoff, &
                            rho_smooth_cutoff_range=density_smooth_cut_range)
 
         exc = pw_integrate_function(v_drho_r)
         !
         ! return the xc functional value at the grid points
         !
         IF (PRESENT(exc_r)) THEN
            exc_r = v_drho_r
         ELSE
            CALL v_drho_r%release()
         END IF
      ELSE
         exc = 0.0_dp
      END IF
 
      CALL xc_rho_set_release(rho_set, pw_pool=pw_pool)
 
      ! tau part
      IF (has_tau) THEN
         ALLOCATE (vxc_tau(nspins))
         IF (lsd) THEN
            CALL xc_dset_recover_pw(deriv_set, [deriv_tau_a], vxc_tau(1), pw_grid)
            CALL xc_dset_recover_pw(deriv_set, [deriv_tau_b], vxc_tau(2), pw_grid)
         ELSE
            CALL xc_dset_recover_pw(deriv_set, [deriv_tau], vxc_tau(1), pw_grid)
         END IF
         DO ispin = 1, nspins
            cpassert(ASSOCIATED(vxc_tau(ispin)%array))
         END DO
      END IF
      CALL xc_dset_release(deriv_set)
 
      CALL timestop(handle)
 
   END SUBROUTINE xc_vxc_pw_create
 
! **************************************************************************************************
!> \brief calculates just the exchange and correlation energy
!>      (no vxc)
!> \param rho_r      realspace density on the grid
!> \param rho_g      g-space density on the grid
!> \param tau        kinetic energy density on the grid
!> \param xc_section XC parameters
!> \param weights    Integration weights
!> \param pw_pool    pool of plain-wave grids
!> \return the XC energy
!> \par History
!>      11.2003 created [fawzi]
!> \author fawzi
!> \note
!>      has to be kept consistent with xc_vxc_pw_create
! **************************************************************************************************
   FUNCTION xc_exc_calc(rho_r, rho_g, tau, xc_section, weights, pw_pool) &
      result(exc)
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r, tau
      TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho_g
      TYPE(section_vals_type), POINTER                   :: xc_section
      TYPE(pw_r3d_rs_type), POINTER                      :: weights
      TYPE(pw_pool_type), POINTER                        :: pw_pool
      REAL(kind=dp)                                      :: exc
 
      CHARACTER(len=*), PARAMETER                        :: routinen = 'xc_exc_calc'
 
      INTEGER                                            :: handle
      REAL(dp)                                           :: density_smooth_cut_range, rho_cutoff
      REAL(dp), DIMENSION(:, :, :), POINTER              :: e_0
      TYPE(xc_derivative_set_type)                       :: deriv_set
      TYPE(xc_derivative_type), POINTER                  :: deriv
      TYPE(xc_rho_set_type)                              :: rho_set
 
      CALL timeset(routinen, handle)
 
      NULLIFY (deriv, e_0)
      exc = 0.0_dp
 
      ! this has to be consistent with what is done in xc_vxc_pw_create
      CALL xc_rho_set_and_dset_create(rho_set=rho_set, &
                                      deriv_set=deriv_set, deriv_order=0, &
                                      rho_r=rho_r, rho_g=rho_g, tau=tau, xc_section=xc_section, &
                                      pw_pool=pw_pool, weights=weights, &
                                      calc_potential=.false.)
      deriv => xc_dset_get_derivative(deriv_set, [INTEGER::])
 
      IF (ASSOCIATED(deriv)) THEN
         CALL xc_derivative_get(deriv, deriv_data=e_0)
 
         CALL section_vals_val_get(xc_section, "DENSITY_CUTOFF", &
                                   r_val=rho_cutoff)
         CALL section_vals_val_get(xc_section, "DENSITY_SMOOTH_CUTOFF_RANGE", &
                                   r_val=density_smooth_cut_range)
         CALL smooth_cutoff(pot=e_0, rho=rho_set%rho, &
                            rhoa=rho_set%rhoa, rhob=rho_set%rhob, &
                            rho_cutoff=rho_cutoff, &
                            rho_smooth_cutoff_range=density_smooth_cut_range)
 
         exc = accurate_sum(e_0)*rho_r(1)%pw_grid%dvol
         IF (rho_r(1)%pw_grid%para%mode == pw_mode_distributed) THEN
            CALL rho_r(1)%pw_grid%para%group%sum(exc)
         END IF
 
         CALL xc_rho_set_release(rho_set, pw_pool=pw_pool)
         CALL xc_dset_release(deriv_set)
      END IF
 
      CALL timestop(handle)
 
   END FUNCTION xc_exc_calc
 
! **************************************************************************************************
!> \brief calculates just the exchange and correlation energy density
!> \param rho_r      realspace density on the grid
!> \param rho_g      g-space density on the grid
!> \param tau        kinetic energy density on the grid
!> \param xc_section XC parameters
!> \param weights    Integration weights
!> \param pw_pool    pool of plain-wave grids
!> \param exc        xc energy density
!> \author JGH
! **************************************************************************************************
   SUBROUTINE xc_exc_pw_create(rho_r, rho_g, tau, xc_section, weights, pw_pool, exc)
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r, tau
      TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho_g
      TYPE(section_vals_type), POINTER                   :: xc_section
      TYPE(pw_r3d_rs_type), POINTER                      :: weights
      TYPE(pw_pool_type), POINTER                        :: pw_pool
      TYPE(pw_r3d_rs_type)                               :: exc
 
      CHARACTER(len=*), PARAMETER                        :: routinen = 'xc_exc_pw_create'
 
      INTEGER                                            :: handle
      REAL(dp)                                           :: density_smooth_cut_range, rho_cutoff
      REAL(dp), DIMENSION(:, :, :), POINTER              :: e_0
      TYPE(xc_derivative_set_type)                       :: deriv_set
      TYPE(xc_derivative_type), POINTER                  :: deriv
      TYPE(xc_rho_set_type)                              :: rho_set
 
      CALL timeset(routinen, handle)
 
      NULLIFY (deriv, e_0)
 
      CALL xc_rho_set_and_dset_create(rho_set=rho_set, &
                                      deriv_set=deriv_set, deriv_order=0, &
                                      rho_r=rho_r, rho_g=rho_g, tau=tau, xc_section=xc_section, &
                                      pw_pool=pw_pool, weights=weights, &
                                      calc_potential=.false.)
      deriv => xc_dset_get_derivative(deriv_set, [INTEGER::])
 
      IF (ASSOCIATED(deriv)) THEN
         CALL xc_derivative_get(deriv, deriv_data=e_0)
 
         CALL section_vals_val_get(xc_section, "DENSITY_CUTOFF", &
                                   r_val=rho_cutoff)
         CALL section_vals_val_get(xc_section, "DENSITY_SMOOTH_CUTOFF_RANGE", &
                                   r_val=density_smooth_cut_range)
         CALL smooth_cutoff(pot=e_0, rho=rho_set%rho, &
                            rhoa=rho_set%rhoa, rhob=rho_set%rhob, &
                            rho_cutoff=rho_cutoff, &
                            rho_smooth_cutoff_range=density_smooth_cut_range)
 
         exc%array = e_0
 
         CALL xc_rho_set_release(rho_set, pw_pool=pw_pool)
         CALL xc_dset_release(deriv_set)
      END IF
 
      CALL timestop(handle)
 
   END SUBROUTINE xc_exc_pw_create
 
! **************************************************************************************************
!> \brief Caller routine to calculate the second order potential in the direction of rho1_r
!> \param v_xc XC potential, will be allocated, to be integrated with the KS density
!> \param v_xc_tau ...
!> \param deriv_set XC derivatives from xc_prep_2nd_deriv
!> \param rho_set XC rho set from KS rho from xc_prep_2nd_deriv
!> \param rho1_r first-order density in r space
!> \param rho1_g first-order density in g space
!> \param tau1_r ...
!> \param pw_pool pw pool to create new grids
!> \param xc_section XC section to calculate the derivatives from
!> \param gapw whether to carry out GAPW (not possible with numerical derivatives)
!> \param vxg GAPW potential
!> \param do_excitations ...
!> \param do_triplet ...
!> \param compute_virial ...
!> \param virial_xc virial terms will be collected here
! **************************************************************************************************
   SUBROUTINE xc_calc_2nd_deriv(v_xc, v_xc_tau, deriv_set, rho_set, rho1_r, rho1_g, tau1_r, &
                                pw_pool, weights, xc_section, gapw, vxg, &
                                do_excitations, do_sf, do_triplet, &
                                compute_virial, virial_xc)
 
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: v_xc, v_xc_tau
      TYPE(xc_derivative_set_type)                       :: deriv_set
      TYPE(xc_rho_set_type)                              :: rho_set
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho1_r, tau1_r
      TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho1_g
      TYPE(pw_pool_type), INTENT(IN), POINTER            :: pw_pool
      TYPE(pw_r3d_rs_type), POINTER                      :: weights
      TYPE(section_vals_type), INTENT(IN), POINTER       :: xc_section
      LOGICAL, INTENT(IN)                                :: gapw
      REAL(kind=dp), DIMENSION(:, :, :, :), OPTIONAL, &
         POINTER                                         :: vxg
      LOGICAL, INTENT(IN), OPTIONAL                      :: do_excitations, do_sf, &
                                                            do_triplet, compute_virial
      REAL(kind=dp), DIMENSION(3, 3), INTENT(INOUT), &
         OPTIONAL                                        :: virial_xc
 
      CHARACTER(len=*), PARAMETER :: routinen = 'xc_calc_2nd_deriv'
 
      INTEGER                                            :: handle, ispin, nspins
      INTEGER, DIMENSION(2, 3)                           :: bo
      LOGICAL                                            :: lsd, my_compute_virial, &
                                                            my_do_excitations, my_do_sf, &
                                                            my_do_triplet
      REAL(kind=dp)                                      :: fac
      TYPE(section_vals_type), POINTER                   :: xc_fun_section
      TYPE(xc_rho_cflags_type)                           :: needs
      TYPE(xc_rho_set_type)                              :: rho1_set
 
      CALL timeset(routinen, handle)
 
      my_compute_virial = .false.
      IF (PRESENT(compute_virial)) my_compute_virial = compute_virial
 
      my_do_sf = .false.
      IF (PRESENT(do_sf)) my_do_sf = do_sf
 
      my_do_excitations = .false.
      IF (PRESENT(do_excitations)) my_do_excitations = do_excitations
 
      my_do_triplet = .false.
      IF (PRESENT(do_triplet)) my_do_triplet = do_triplet
 
      nspins = SIZE(rho1_r)
      lsd = (nspins == 2)
      IF (nspins == 1 .AND. my_do_excitations .AND. my_do_triplet) THEN
         nspins = 2
         lsd = .true.
      ELSE IF (my_do_sf) THEN
         nspins = 1
         lsd = .true.
      END IF
 
      NULLIFY (v_xc, v_xc_tau)
      ALLOCATE (v_xc(nspins))
      DO ispin = 1, nspins
         CALL pw_pool%create_pw(v_xc(ispin))
         CALL pw_zero(v_xc(ispin))
      END DO
 
      xc_fun_section => section_vals_get_subs_vals(xc_section, "XC_FUNCTIONAL")
      needs = xc_functionals_get_needs(xc_fun_section, lsd, .true.)
 
      IF (needs%tau .OR. needs%tau_spin) THEN
         IF (.NOT. ASSOCIATED(tau1_r)) THEN
            cpabort("Tau-dependent functionals requires allocated kinetic energy density grid")
         END IF
         ALLOCATE (v_xc_tau(nspins))
         DO ispin = 1, nspins
            CALL pw_pool%create_pw(v_xc_tau(ispin))
            CALL pw_zero(v_xc_tau(ispin))
         END DO
      END IF
 
      IF (section_get_lval(xc_section, "2ND_DERIV_ANALYTICAL")) THEN
         !------!
         ! rho1 !
         !------!
         bo = rho1_r(1)%pw_grid%bounds_local
         ! create the place where to store the argument for the functionals
         CALL xc_rho_set_create(rho1_set, bo, &
                                rho_cutoff=section_get_rval(xc_section, "DENSITY_CUTOFF"), &
                                drho_cutoff=section_get_rval(xc_section, "GRADIENT_CUTOFF"), &
                                tau_cutoff=section_get_rval(xc_section, "TAU_CUTOFF"))
 
         ! calculate the arguments needed by the functionals
         CALL xc_rho_set_update(rho1_set, rho1_r, rho1_g, tau1_r, needs, &
                                section_get_ival(xc_section, "XC_GRID%XC_DERIV"), &
                                section_get_ival(xc_section, "XC_GRID%XC_SMOOTH_RHO"), &
                                pw_pool, spinflip=my_do_sf)
 
         fac = 0._dp
         IF (nspins == 1 .AND. my_do_excitations) THEN
            IF (my_do_triplet) fac = -1.0_dp
         END IF
 
         CALL xc_calc_2nd_deriv_analytical(v_xc, v_xc_tau, deriv_set, rho_set, &
                                           rho1_set, pw_pool, xc_section, &
                                           gapw, vxg=vxg, spinflip=my_do_sf, tddfpt_fac=fac, &
                                           compute_virial=compute_virial, virial_xc=virial_xc)
 
         CALL xc_rho_set_release(rho1_set)
 
      ELSE
         IF (gapw) cpabort("Numerical 2nd derivatives not implemented with GAPW")
 
         CALL xc_calc_2nd_deriv_numerical(v_xc, v_xc_tau, rho_set, rho1_r, rho1_g, tau1_r, &
                                          pw_pool, weights, xc_section, &
                                          my_do_excitations .AND. my_do_triplet, &
                                          compute_virial, virial_xc, deriv_set)
      END IF
 
      CALL timestop(handle)
 
   END SUBROUTINE xc_calc_2nd_deriv
 
! **************************************************************************************************
!> \brief calculates 2nd derivative numerically
!> \param v_xc potential to be calculated (has to be allocated already)
!> \param v_tau tau-part of the potential to be calculated (has to be allocated already)
!> \param rho_set KS density from xc_prep_2nd_deriv
!> \param rho1_r first-order density in r-space
!> \param rho1_g first-order density in g-space
!> \param tau1_r first-order kinetic-energy density in r-space
!> \param pw_pool pw pool for new grids
!> \param xc_section XC section to calculate the derivatives from
!> \param do_triplet ...
!> \param calc_virial whether to calculate virial terms
!> \param virial_xc collects stress tensor components (no metaGGAs!)
!> \param deriv_set deriv set from xc_prep_2nd_deriv (only for virials)
! **************************************************************************************************
   SUBROUTINE xc_calc_2nd_deriv_numerical(v_xc, v_tau, rho_set, rho1_r, rho1_g, tau1_r, &
                                          pw_pool, weights, xc_section, &
                                          do_triplet, calc_virial, virial_xc, deriv_set)
 
      TYPE(pw_r3d_rs_type), DIMENSION(:), INTENT(IN), POINTER :: v_xc, v_tau
      TYPE(xc_rho_set_type), INTENT(IN)                  :: rho_set
      TYPE(pw_r3d_rs_type), DIMENSION(:), INTENT(IN), POINTER   :: rho1_r, tau1_r
      TYPE(pw_c1d_gs_type), DIMENSION(:), INTENT(IN), POINTER :: rho1_g
      TYPE(pw_pool_type), INTENT(IN), POINTER            :: pw_pool
      TYPE(pw_r3d_rs_type), INTENT(IN), POINTER          :: weights
      TYPE(section_vals_type), INTENT(IN), POINTER       :: xc_section
      LOGICAL, INTENT(IN)                                :: do_triplet
      LOGICAL, INTENT(IN), OPTIONAL                      :: calc_virial
      REAL(kind=dp), DIMENSION(3, 3), INTENT(INOUT), &
         OPTIONAL                                        :: virial_xc
      TYPE(xc_derivative_set_type), OPTIONAL             :: deriv_set
 
      CHARACTER(len=*), PARAMETER :: routinen = 'xc_calc_2nd_deriv_numerical'
      REAL(kind=dp), DIMENSION(-4:4, 4), PARAMETER :: &
         rweights = reshape([0.0_dp, 0.0_dp, 0.0_dp, -0.5_dp, 0.0_dp, 0.5_dp, 0.0_dp, 0.0_dp, 0.0_dp, &
                           0.0_dp, 0.0_dp, 1.0_dp/12.0_dp, -2.0_dp/3.0_dp, 0.0_dp, 2.0_dp/3.0_dp, -1.0_dp/12.0_dp, 0.0_dp, 0.0_dp, &
                             0.0_dp, -1.0_dp/60.0_dp, 0.15_dp, -0.75_dp, 0.0_dp, 0.75_dp, -0.15_dp, 1.0_dp/60.0_dp, 0.0_dp, &
            1.0_dp/280.0_dp, -4.0_dp/105.0_dp, 0.2_dp, -0.8_dp, 0.0_dp, 0.8_dp, -0.2_dp, 4.0_dp/105.0_dp, -1.0_dp/280.0_dp], [9, 4])
 
      INTEGER                                            :: handle, idir, ispin, nspins, istep, nsteps
      INTEGER, DIMENSION(2, 3)                           :: bo
      LOGICAL                                            :: gradient_f, lsd, my_calc_virial, tau_f, laplace_f, rho_f
      REAL(kind=dp)                                      :: exc, gradient_cut, h, rweight, step, rho_cutoff
      REAL(kind=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: dr1dr, dra1dra, drb1drb
      REAL(kind=dp), DIMENSION(3, 3)                     :: virial_dummy
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: norm_drho, norm_drho2, norm_drho2a, &
                                                            norm_drho2b, norm_drhoa, norm_drhob, &
                                                            rho, rho1, rho1a, rho1b, rhoa, rhob, &
                                                            tau_a, tau_b, tau, tau1, tau1a, tau1b, laplace, laplace1, &
                                                            laplacea, laplaceb, laplace1a, laplace1b, &
                                                            laplace2, laplace2a, laplace2b, deriv_data
      TYPE(cp_3d_r_cp_type), DIMENSION(3)                :: drho, drho1, drho1a, drho1b, drhoa, drhob
      TYPE(pw_r3d_rs_type)                                      :: v_drho, v_drhoa, v_drhob
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER             :: vxc_rho, vxc_tau
      TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER :: rho_g
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER               ::  rho_r, tau_r
      TYPE(pw_r3d_rs_type)                                      :: virial_pw, v_laplace, v_laplacea, v_laplaceb
      TYPE(section_vals_type), POINTER                   :: xc_fun_section
      TYPE(xc_derivative_set_type)                       :: deriv_set1
      TYPE(xc_rho_cflags_type)                           :: needs
      TYPE(xc_rho_set_type)                              :: rho1_set, rho2_set
 
      CALL timeset(routinen, handle)
 
      my_calc_virial = .false.
      IF (PRESENT(calc_virial) .AND. PRESENT(virial_xc)) my_calc_virial = calc_virial
 
      nspins = SIZE(v_xc)
 
      NULLIFY (tau, tau_r, tau_a, tau_b)
 
      h = section_get_rval(xc_section, "STEP_SIZE")
      nsteps = section_get_ival(xc_section, "NSTEPS")
      IF (nsteps < lbound(rweights, 2) .OR. nsteps > ubound(rweights, 2)) THEN
         cpabort("The number of steps must be a value from 1 to 4.")
      END IF
 
      IF (nspins == 2) THEN
         NULLIFY (vxc_rho, rho_g, vxc_tau)
         ALLOCATE (rho_r(2))
         DO ispin = 1, nspins
            CALL pw_pool%create_pw(rho_r(ispin))
         END DO
         IF (ASSOCIATED(tau1_r) .AND. ASSOCIATED(v_tau)) THEN
            ALLOCATE (tau_r(2))
            DO ispin = 1, nspins
               CALL pw_pool%create_pw(tau_r(ispin))
            END DO
         END IF
         CALL xc_rho_set_get(rho_set, can_return_null=.true., rhoa=rhoa, rhob=rhob, tau_a=tau_a, tau_b=tau_b)
         DO istep = -nsteps, nsteps
            IF (istep == 0) cycle
            rweight = rweights(istep, nsteps)/h
            step = real(istep, dp)*h
            CALL calc_resp_potential_numer_ab(rho_r, rho_g, rho1_r, rhoa, rhob, vxc_rho, &
                                              tau_r, tau1_r, tau_a, tau_b, vxc_tau, xc_section, &
                                              weights, pw_pool, step)
            DO ispin = 1, nspins
               CALL pw_axpy(vxc_rho(ispin), v_xc(ispin), rweight)
               IF (ASSOCIATED(vxc_tau) .AND. ASSOCIATED(v_tau)) THEN
                  CALL pw_axpy(vxc_tau(ispin), v_tau(ispin), rweight)
               END IF
            END DO
            DO ispin = 1, nspins
               CALL vxc_rho(ispin)%release()
            END DO
            DEALLOCATE (vxc_rho)
            IF (ASSOCIATED(vxc_tau)) THEN
               DO ispin = 1, nspins
                  CALL vxc_tau(ispin)%release()
               END DO
               DEALLOCATE (vxc_tau)
            END IF
         END DO
      ELSE IF (nspins == 1 .AND. do_triplet) THEN
         NULLIFY (vxc_rho, vxc_tau, rho_g)
         ALLOCATE (rho_r(2))
         DO ispin = 1, 2
            CALL pw_pool%create_pw(rho_r(ispin))
         END DO
         IF (ASSOCIATED(tau1_r) .AND. ASSOCIATED(v_tau)) THEN
            ALLOCATE (tau_r(2))
            DO ispin = 1, nspins
               CALL pw_pool%create_pw(tau_r(ispin))
            END DO
         END IF
         CALL xc_rho_set_get(rho_set, can_return_null=.true., rhoa=rhoa, rhob=rhob, tau_a=tau_a, tau_b=tau_b)
         DO istep = -nsteps, nsteps
            IF (istep == 0) cycle
            rweight = rweights(istep, nsteps)/h
            step = real(istep, dp)*h
            ! K(alpha,alpha)
!$OMP PARALLEL DEFAULT(NONE) SHARED(rho_r,rhoa,rhob,step,rho1_r,tau_r,tau_a,tau_b,tau1_r)
!$OMP WORKSHARE
            rho_r(1)%array(:, :, :) = rhoa(:, :, :) + step*rho1_r(1)%array(:, :, :)
!$OMP END WORKSHARE NOWAIT
!$OMP WORKSHARE
            rho_r(2)%array(:, :, :) = rhob(:, :, :)
!$OMP END WORKSHARE NOWAIT
            IF (ASSOCIATED(tau1_r)) THEN
!$OMP WORKSHARE
               tau_r(1)%array(:, :, :) = tau_a(:, :, :) + step*tau1_r(1)%array(:, :, :)
!$OMP END WORKSHARE NOWAIT
!$OMP WORKSHARE
               tau_r(2)%array(:, :, :) = tau_b(:, :, :)
!$OMP END WORKSHARE NOWAIT
            END IF
!$OMP END PARALLEL
            CALL xc_vxc_pw_create(vxc_rho, vxc_tau, exc, rho_r, rho_g, tau_r, xc_section, &
                                  weights, pw_pool, .false., virial_dummy)
            CALL pw_axpy(vxc_rho(1), v_xc(1), rweight)
            IF (ASSOCIATED(vxc_tau) .AND. ASSOCIATED(v_tau)) THEN
               CALL pw_axpy(vxc_tau(1), v_tau(1), rweight)
            END IF
            DO ispin = 1, 2
               CALL vxc_rho(ispin)%release()
            END DO
            DEALLOCATE (vxc_rho)
            IF (ASSOCIATED(vxc_tau)) THEN
            DO ispin = 1, 2
               CALL vxc_tau(ispin)%release()
            END DO
            DEALLOCATE (vxc_tau)
            END IF
!$OMP PARALLEL DEFAULT(NONE) SHARED(rho_r,rhoa,rhob,step,rho1_r,tau_r,tau_a,tau_b,tau1_r)
!$OMP WORKSHARE
            ! K(alpha,beta)
            rho_r(1)%array(:, :, :) = rhoa(:, :, :)
!$OMP END WORKSHARE NOWAIT
!$OMP WORKSHARE
            rho_r(2)%array(:, :, :) = rhob(:, :, :) + step*rho1_r(1)%array(:, :, :)
!$OMP END WORKSHARE NOWAIT
            IF (ASSOCIATED(tau1_r)) THEN
!$OMP WORKSHARE
               tau_r(1)%array(:, :, :) = tau_a(:, :, :)
!$OMP END WORKSHARE NOWAIT
!$OMP WORKSHARE
               tau_r(2)%array(:, :, :) = tau_b(:, :, :) + step*tau1_r(1)%array(:, :, :)
!$OMP END WORKSHARE NOWAIT
            END IF
!$OMP END PARALLEL
            CALL xc_vxc_pw_create(vxc_rho, vxc_tau, exc, rho_r, rho_g, tau_r, xc_section, &
                                  weights, pw_pool, .false., virial_dummy)
            CALL pw_axpy(vxc_rho(1), v_xc(1), rweight)
            IF (ASSOCIATED(vxc_tau) .AND. ASSOCIATED(v_tau)) THEN
               CALL pw_axpy(vxc_tau(1), v_tau(1), rweight)
            END IF
            DO ispin = 1, 2
               CALL vxc_rho(ispin)%release()
            END DO
            DEALLOCATE (vxc_rho)
            IF (ASSOCIATED(vxc_tau)) THEN
            DO ispin = 1, 2
               CALL vxc_tau(ispin)%release()
            END DO
            DEALLOCATE (vxc_tau)
            END IF
         END DO
      ELSE
         NULLIFY (vxc_rho, rho_r, rho_g, vxc_tau, tau_r, tau)
         ALLOCATE (rho_r(1))
         CALL pw_pool%create_pw(rho_r(1))
         IF (ASSOCIATED(tau1_r) .AND. ASSOCIATED(v_tau)) THEN
            ALLOCATE (tau_r(1))
            CALL pw_pool%create_pw(tau_r(1))
         END IF
         CALL xc_rho_set_get(rho_set, can_return_null=.true., rho=rho, tau=tau)
         DO istep = -nsteps, nsteps
            IF (istep == 0) cycle
            rweight = rweights(istep, nsteps)/h
            step = real(istep, dp)*h
!$OMP PARALLEL DEFAULT(NONE) SHARED(rho_r,rho,step,rho1_r,tau1_r,tau,tau_r)
!$OMP WORKSHARE
            rho_r(1)%array(:, :, :) = rho(:, :, :) + step*rho1_r(1)%array(:, :, :)
!$OMP END WORKSHARE NOWAIT
            IF (ASSOCIATED(tau1_r) .AND. ASSOCIATED(tau) .AND. ASSOCIATED(tau1_r)) THEN
!$OMP WORKSHARE
               tau_r(1)%array(:, :, :) = tau(:, :, :) + step*tau1_r(1)%array(:, :, :)
!$OMP END WORKSHARE NOWAIT
            END IF
!$OMP END PARALLEL
            CALL xc_vxc_pw_create(vxc_rho, vxc_tau, exc, rho_r, rho_g, tau_r, xc_section, &
                                  weights, pw_pool, .false., virial_dummy)
            CALL pw_axpy(vxc_rho(1), v_xc(1), rweight)
            IF (ASSOCIATED(vxc_tau) .AND. ASSOCIATED(v_tau)) THEN
               CALL pw_axpy(vxc_tau(1), v_tau(1), rweight)
            END IF
            CALL vxc_rho(1)%release()
            DEALLOCATE (vxc_rho)
            IF (ASSOCIATED(vxc_tau)) THEN
               CALL vxc_tau(1)%release()
               DEALLOCATE (vxc_tau)
            END IF
         END DO
      END IF
 
      IF (my_calc_virial) THEN
         lsd = (nspins == 2)
         IF (nspins == 1 .AND. do_triplet) THEN
            lsd = .true.
         END IF
 
         CALL check_for_derivatives(deriv_set, (nspins == 2), rho_f, gradient_f, tau_f, laplace_f)
 
         ! Calculate the virial terms
         ! Those arising from the first derivatives are treated like in xc_calc_2nd_deriv_analytical
         ! Those arising from the second derivatives are calculated numerically
         ! We assume that all metaGGA functionals require the gradient
         IF (gradient_f) THEN
            bo = rho_set%local_bounds
 
            ! Create the work grid for the virial terms
            CALL allocate_pw(virial_pw, pw_pool, bo)
 
            gradient_cut = section_get_rval(xc_section, "GRADIENT_CUTOFF")
 
            ! create the container to store the argument of the functionals
            CALL xc_rho_set_create(rho1_set, bo, &
                                   rho_cutoff=section_get_rval(xc_section, "DENSITY_CUTOFF"), &
                                   drho_cutoff=gradient_cut, &
                                   tau_cutoff=section_get_rval(xc_section, "TAU_CUTOFF"))
 
            xc_fun_section => section_vals_get_subs_vals(xc_section, "XC_FUNCTIONAL")
            needs = xc_functionals_get_needs(xc_fun_section, lsd, .true.)
 
            ! calculate the arguments needed by the functionals
            CALL xc_rho_set_update(rho1_set, rho1_r, rho1_g, tau1_r, needs, &
                                   section_get_ival(xc_section, "XC_GRID%XC_DERIV"), &
                                   section_get_ival(xc_section, "XC_GRID%XC_SMOOTH_RHO"), &
                                   pw_pool)
 
            IF (lsd) THEN
               CALL xc_rho_set_get(rho_set, drhoa=drhoa, drhob=drhob, norm_drho=norm_drho, &
                                   norm_drhoa=norm_drhoa, norm_drhob=norm_drhob, tau_a=tau_a, tau_b=tau_b, &
                                   laplace_rhoa=laplacea, laplace_rhob=laplaceb, can_return_null=.true.)
               CALL xc_rho_set_get(rho1_set, rhoa=rho1a, rhob=rho1b, drhoa=drho1a, drhob=drho1b, laplace_rhoa=laplace1a, &
                                   laplace_rhob=laplace1b, can_return_null=.true.)
 
               CALL calc_drho_from_ab(drho, drhoa, drhob)
               CALL calc_drho_from_ab(drho1, drho1a, drho1b)
            ELSE
               CALL xc_rho_set_get(rho_set, drho=drho, norm_drho=norm_drho, tau=tau, laplace_rho=laplace, can_return_null=.true.)
               CALL xc_rho_set_get(rho1_set, rho=rho1, drho=drho1, laplace_rho=laplace1, can_return_null=.true.)
            END IF
 
            CALL prepare_dr1dr(dr1dr, drho, drho1)
 
            IF (lsd) THEN
               CALL prepare_dr1dr(dra1dra, drhoa, drho1a)
               CALL prepare_dr1dr(drb1drb, drhob, drho1b)
 
               CALL allocate_pw(v_drho, pw_pool, bo)
               CALL allocate_pw(v_drhoa, pw_pool, bo)
               CALL allocate_pw(v_drhob, pw_pool, bo)
 
               IF (ASSOCIATED(norm_drhoa)) CALL apply_drho(deriv_set, [deriv_norm_drhoa], virial_pw, &
                                                           drhoa, drho1a, virial_xc, &
                                                           norm_drhoa, gradient_cut, dra1dra, v_drhoa%array)
               IF (ASSOCIATED(norm_drhob)) CALL apply_drho(deriv_set, [deriv_norm_drhob], virial_pw, &
                                                           drhob, drho1b, virial_xc, &
                                                           norm_drhob, gradient_cut, drb1drb, v_drhob%array)
               IF (ASSOCIATED(norm_drho)) CALL apply_drho(deriv_set, [deriv_norm_drho], virial_pw, &
                                                          drho, drho1, virial_xc, &
                                                          norm_drho, gradient_cut, dr1dr, v_drho%array)
               IF (laplace_f) THEN
                  CALL xc_derivative_get(xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa]), deriv_data=deriv_data)
                  cpassert(ASSOCIATED(deriv_data))
                  virial_pw%array(:, :, :) = -rho1a(:, :, :)
                  CALL virial_laplace(virial_pw, pw_pool, virial_xc, deriv_data)
 
                  CALL allocate_pw(v_laplacea, pw_pool, bo)
 
                  CALL xc_derivative_get(xc_dset_get_derivative(deriv_set, [deriv_laplace_rhob]), deriv_data=deriv_data)
                  cpassert(ASSOCIATED(deriv_data))
                  virial_pw%array(:, :, :) = -rho1b(:, :, :)
                  CALL virial_laplace(virial_pw, pw_pool, virial_xc, deriv_data)
 
                  CALL allocate_pw(v_laplaceb, pw_pool, bo)
               END IF
 
            ELSE
 
               ! Create the work grid for the potential of the gradient part
               CALL allocate_pw(v_drho, pw_pool, bo)
 
               CALL apply_drho(deriv_set, [deriv_norm_drho], virial_pw, drho, drho1, virial_xc, &
                               norm_drho, gradient_cut, dr1dr, v_drho%array)
               IF (laplace_f) THEN
                  CALL xc_derivative_get(xc_dset_get_derivative(deriv_set, [deriv_laplace_rho]), deriv_data=deriv_data)
                  cpassert(ASSOCIATED(deriv_data))
                  virial_pw%array(:, :, :) = -rho1(:, :, :)
                  CALL virial_laplace(virial_pw, pw_pool, virial_xc, deriv_data)
 
                  CALL allocate_pw(v_laplace, pw_pool, bo)
               END IF
 
            END IF
 
            IF (lsd) THEN
               rho_r(1)%array = rhoa
               rho_r(2)%array = rhob
            ELSE
               rho_r(1)%array = rho
            END IF
            IF (ASSOCIATED(tau1_r)) THEN
            IF (lsd) THEN
               tau_r(1)%array = tau_a
               tau_r(2)%array = tau_b
            ELSE
               tau_r(1)%array = tau
            END IF
            END IF
 
            ! Create deriv sets with same densities but different gradients
            CALL xc_dset_create(deriv_set1, pw_pool)
 
            rho_cutoff = section_get_rval(xc_section, "DENSITY_CUTOFF")
 
            ! create the place where to store the argument for the functionals
            CALL xc_rho_set_create(rho2_set, bo, &
                                   rho_cutoff=rho_cutoff, &
                                   drho_cutoff=section_get_rval(xc_section, "GRADIENT_CUTOFF"), &
                                   tau_cutoff=section_get_rval(xc_section, "TAU_CUTOFF"))
 
            ! calculate the arguments needed by the functionals
            CALL xc_rho_set_update(rho2_set, rho_r, rho_g, tau_r, needs, &
                                   section_get_ival(xc_section, "XC_GRID%XC_DERIV"), &
                                   section_get_ival(xc_section, "XC_GRID%XC_SMOOTH_RHO"), &
                                   pw_pool)
 
            IF (lsd) THEN
               CALL xc_rho_set_get(rho1_set, rhoa=rho1a, rhob=rho1b, tau_a=tau1a, tau_b=tau1b, &
                                   laplace_rhoa=laplace1a, laplace_rhob=laplace1b, can_return_null=.true.)
               CALL xc_rho_set_get(rho2_set, norm_drhoa=norm_drho2a, norm_drhob=norm_drho2b, &
                                   norm_drho=norm_drho2, laplace_rhoa=laplace2a, laplace_rhob=laplace2b, can_return_null=.true.)
 
               DO istep = -nsteps, nsteps
                  IF (istep == 0) cycle
                  rweight = rweights(istep, nsteps)/h
                  step = real(istep, dp)*h
                  IF (ASSOCIATED(norm_drhoa)) THEN
                     CALL get_derivs_rho(norm_drho2a, norm_drhoa, step, xc_fun_section, lsd, rho2_set, deriv_set1)
                     CALL update_deriv_rho(deriv_set1, [deriv_rhoa], bo, &
                                           norm_drhoa, gradient_cut, rweight, rho1a, v_drhoa%array)
                     CALL update_deriv_rho(deriv_set1, [deriv_rhob], bo, &
                                           norm_drhoa, gradient_cut, rweight, rho1b, v_drhoa%array)
                     CALL update_deriv_rho(deriv_set1, [deriv_norm_drhoa], bo, &
                                           norm_drhoa, gradient_cut, rweight, dra1dra, v_drhoa%array)
                     CALL update_deriv_drho_ab(deriv_set1, [deriv_norm_drhob], bo, &
                                               norm_drhoa, gradient_cut, rweight, dra1dra, drb1drb, v_drhoa%array, v_drhob%array)
                     CALL update_deriv_drho_ab(deriv_set1, [deriv_norm_drho], bo, &
                                               norm_drhoa, gradient_cut, rweight, dra1dra, dr1dr, v_drhoa%array, v_drho%array)
                     IF (tau_f) THEN
                        CALL update_deriv_rho(deriv_set1, [deriv_tau_a], bo, &
                                              norm_drhoa, gradient_cut, rweight, tau1a, v_drhoa%array)
                        CALL update_deriv_rho(deriv_set1, [deriv_tau_b], bo, &
                                              norm_drhoa, gradient_cut, rweight, tau1b, v_drhoa%array)
                     END IF
                     IF (laplace_f) THEN
                        CALL update_deriv_rho(deriv_set1, [deriv_laplace_rhoa], bo, &
                                              norm_drhoa, gradient_cut, rweight, laplace1a, v_drhoa%array)
                        CALL update_deriv_rho(deriv_set1, [deriv_laplace_rhob], bo, &
                                              norm_drhoa, gradient_cut, rweight, laplace1b, v_drhoa%array)
                     END IF
                  END IF
 
                  IF (ASSOCIATED(norm_drhob)) THEN
                     CALL get_derivs_rho(norm_drho2b, norm_drhob, step, xc_fun_section, lsd, rho2_set, deriv_set1)
                     CALL update_deriv_rho(deriv_set1, [deriv_rhoa], bo, &
                                           norm_drhob, gradient_cut, rweight, rho1a, v_drhob%array)
                     CALL update_deriv_rho(deriv_set1, [deriv_rhob], bo, &
                                           norm_drhob, gradient_cut, rweight, rho1b, v_drhob%array)
                     CALL update_deriv_rho(deriv_set1, [deriv_norm_drhob], bo, &
                                           norm_drhob, gradient_cut, rweight, drb1drb, v_drhob%array)
                     CALL update_deriv_drho_ab(deriv_set1, [deriv_norm_drhoa], bo, &
                                               norm_drhob, gradient_cut, rweight, drb1drb, dra1dra, v_drhob%array, v_drhoa%array)
                     CALL update_deriv_drho_ab(deriv_set1, [deriv_norm_drho], bo, &
                                               norm_drhob, gradient_cut, rweight, drb1drb, dr1dr, v_drhob%array, v_drho%array)
                     IF (tau_f) THEN
                        CALL update_deriv_rho(deriv_set1, [deriv_tau_a], bo, &
                                              norm_drhob, gradient_cut, rweight, tau1a, v_drhob%array)
                        CALL update_deriv_rho(deriv_set1, [deriv_tau_b], bo, &
                                              norm_drhob, gradient_cut, rweight, tau1b, v_drhob%array)
                     END IF
                     IF (laplace_f) THEN
                        CALL update_deriv_rho(deriv_set1, [deriv_laplace_rhoa], bo, &
                                              norm_drhob, gradient_cut, rweight, laplace1a, v_drhob%array)
                        CALL update_deriv_rho(deriv_set1, [deriv_laplace_rhob], bo, &
                                              norm_drhob, gradient_cut, rweight, laplace1b, v_drhob%array)
                     END IF
                  END IF
 
                  IF (ASSOCIATED(norm_drho)) THEN
                     CALL get_derivs_rho(norm_drho2, norm_drho, step, xc_fun_section, lsd, rho2_set, deriv_set1)
                     CALL update_deriv_rho(deriv_set1, [deriv_rhoa], bo, &
                                           norm_drho, gradient_cut, rweight, rho1a, v_drho%array)
                     CALL update_deriv_rho(deriv_set1, [deriv_rhob], bo, &
                                           norm_drho, gradient_cut, rweight, rho1b, v_drho%array)
                     CALL update_deriv_rho(deriv_set1, [deriv_norm_drho], bo, &
                                           norm_drho, gradient_cut, rweight, dr1dr, v_drho%array)
                     CALL update_deriv_drho_ab(deriv_set1, [deriv_norm_drhoa], bo, &
                                               norm_drho, gradient_cut, rweight, dr1dr, dra1dra, v_drho%array, v_drhoa%array)
                     CALL update_deriv_drho_ab(deriv_set1, [deriv_norm_drhob], bo, &
                                               norm_drho, gradient_cut, rweight, dr1dr, drb1drb, v_drho%array, v_drhob%array)
                     IF (tau_f) THEN
                        CALL update_deriv_rho(deriv_set1, [deriv_tau_a], bo, &
                                              norm_drho, gradient_cut, rweight, tau1a, v_drho%array)
                        CALL update_deriv_rho(deriv_set1, [deriv_tau_b], bo, &
                                              norm_drho, gradient_cut, rweight, tau1b, v_drho%array)
                     END IF
                     IF (laplace_f) THEN
                        CALL update_deriv_rho(deriv_set1, [deriv_laplace_rhoa], bo, &
                                              norm_drho, gradient_cut, rweight, laplace1a, v_drho%array)
                        CALL update_deriv_rho(deriv_set1, [deriv_laplace_rhob], bo, &
                                              norm_drho, gradient_cut, rweight, laplace1b, v_drho%array)
                     END IF
                  END IF
 
                  IF (laplace_f) THEN
 
                     CALL get_derivs_rho(laplace2a, laplacea, step, xc_fun_section, lsd, rho2_set, deriv_set1)
 
                     ! Obtain the numerical 2nd derivatives w.r.t. to drho and collect the potential
                     CALL update_deriv(deriv_set1, laplacea, rho_cutoff, [deriv_rhoa], bo, &
                                       rweight, rho1a, v_laplacea%array)
                     CALL update_deriv(deriv_set1, laplacea, rho_cutoff, [deriv_rhob], bo, &
                                       rweight, rho1b, v_laplacea%array)
                     IF (ASSOCIATED(norm_drho)) THEN
                        CALL update_deriv(deriv_set1, laplacea, rho_cutoff, [deriv_norm_drho], bo, &
                                          rweight, dr1dr, v_laplacea%array)
                     END IF
                     IF (ASSOCIATED(norm_drhoa)) THEN
                        CALL update_deriv(deriv_set1, laplacea, rho_cutoff, [deriv_norm_drhoa], bo, &
                                          rweight, dra1dra, v_laplacea%array)
                     END IF
                     IF (ASSOCIATED(norm_drhob)) THEN
                        CALL update_deriv(deriv_set1, laplacea, rho_cutoff, [deriv_norm_drhob], bo, &
                                          rweight, drb1drb, v_laplacea%array)
                     END IF
 
                     IF (ASSOCIATED(tau1a)) THEN
                        CALL update_deriv(deriv_set1, laplacea, rho_cutoff, [deriv_tau_a], bo, &
                                          rweight, tau1a, v_laplacea%array)
                     END IF
                     IF (ASSOCIATED(tau1b)) THEN
                        CALL update_deriv(deriv_set1, laplacea, rho_cutoff, [deriv_tau_b], bo, &
                                          rweight, tau1b, v_laplacea%array)
                     END IF
 
                     CALL update_deriv(deriv_set1, laplacea, rho_cutoff, [deriv_laplace_rhoa], bo, &
                                       rweight, laplace1a, v_laplacea%array)
 
                     CALL update_deriv(deriv_set1, laplacea, rho_cutoff, [deriv_laplace_rhob], bo, &
                                       rweight, laplace1b, v_laplacea%array)
 
                     ! The same for the beta spin
                     CALL get_derivs_rho(laplace2b, laplaceb, step, xc_fun_section, lsd, rho2_set, deriv_set1)
 
                     ! Obtain the numerical 2nd derivatives w.r.t. to drho and collect the potential
                     CALL update_deriv(deriv_set1, laplaceb, rho_cutoff, [deriv_rhoa], bo, &
                                       rweight, rho1a, v_laplaceb%array)
                     CALL update_deriv(deriv_set1, laplaceb, rho_cutoff, [deriv_rhob], bo, &
                                       rweight, rho1b, v_laplaceb%array)
                     IF (ASSOCIATED(norm_drho)) THEN
                        CALL update_deriv(deriv_set1, laplaceb, rho_cutoff, [deriv_norm_drho], bo, &
                                          rweight, dr1dr, v_laplaceb%array)
                     END IF
                     IF (ASSOCIATED(norm_drhoa)) THEN
                        CALL update_deriv(deriv_set1, laplaceb, rho_cutoff, [deriv_norm_drhoa], bo, &
                                          rweight, dra1dra, v_laplaceb%array)
                     END IF
                     IF (ASSOCIATED(norm_drhob)) THEN
                        CALL update_deriv(deriv_set1, laplaceb, rho_cutoff, [deriv_norm_drhob], bo, &
                                          rweight, drb1drb, v_laplaceb%array)
                     END IF
 
                     IF (tau_f) THEN
                        CALL update_deriv(deriv_set1, laplaceb, rho_cutoff, [deriv_tau_a], bo, &
                                          rweight, tau1a, v_laplaceb%array)
                        CALL update_deriv(deriv_set1, laplaceb, rho_cutoff, [deriv_tau_b], bo, &
                                          rweight, tau1b, v_laplaceb%array)
                     END IF
 
                     CALL update_deriv(deriv_set1, laplaceb, rho_cutoff, [deriv_laplace_rhoa], bo, &
                                       rweight, laplace1a, v_laplaceb%array)
 
                     CALL update_deriv(deriv_set1, laplaceb, rho_cutoff, [deriv_laplace_rhob], bo, &
                                       rweight, laplace1b, v_laplaceb%array)
                  END IF
               END DO
 
               CALL virial_drho_drho(virial_pw, drhoa, v_drhoa, virial_xc)
               CALL virial_drho_drho(virial_pw, drhob, v_drhob, virial_xc)
               CALL virial_drho_drho(virial_pw, drho, v_drho, virial_xc)
 
               CALL deallocate_pw(v_drho, pw_pool)
               CALL deallocate_pw(v_drhoa, pw_pool)
               CALL deallocate_pw(v_drhob, pw_pool)
 
               IF (laplace_f) THEN
                  virial_pw%array(:, :, :) = -rhoa(:, :, :)
                  CALL virial_laplace(virial_pw, pw_pool, virial_xc, v_laplacea%array)
                  CALL deallocate_pw(v_laplacea, pw_pool)
 
                  virial_pw%array(:, :, :) = -rhob(:, :, :)
                  CALL virial_laplace(virial_pw, pw_pool, virial_xc, v_laplaceb%array)
                  CALL deallocate_pw(v_laplaceb, pw_pool)
               END IF
 
               CALL deallocate_pw(virial_pw, pw_pool)
 
               DO idir = 1, 3
                  DEALLOCATE (drho(idir)%array)
                  DEALLOCATE (drho1(idir)%array)
               END DO
               DEALLOCATE (dra1dra, drb1drb)
 
            ELSE
               CALL xc_rho_set_get(rho1_set, rho=rho1, tau=tau1, laplace_rho=laplace1, can_return_null=.true.)
               CALL xc_rho_set_get(rho2_set, norm_drho=norm_drho2, laplace_rho=laplace2, can_return_null=.true.)
 
               DO istep = -nsteps, nsteps
                  IF (istep == 0) cycle
                  rweight = rweights(istep, nsteps)/h
                  step = real(istep, dp)*h
                  CALL get_derivs_rho(norm_drho2, norm_drho, step, xc_fun_section, lsd, rho2_set, deriv_set1)
 
                  ! Obtain the numerical 2nd derivatives w.r.t. to drho and collect the potential
                  CALL update_deriv_rho(deriv_set1, [deriv_rho], bo, &
                                        norm_drho, gradient_cut, rweight, rho1, v_drho%array)
                  CALL update_deriv_rho(deriv_set1, [deriv_norm_drho], bo, &
                                        norm_drho, gradient_cut, rweight, dr1dr, v_drho%array)
 
                  IF (tau_f) THEN
                     CALL update_deriv_rho(deriv_set1, [deriv_tau], bo, &
                                           norm_drho, gradient_cut, rweight, tau1, v_drho%array)
                  END IF
                  IF (laplace_f) THEN
                     CALL update_deriv_rho(deriv_set1, [deriv_laplace_rho], bo, &
                                           norm_drho, gradient_cut, rweight, laplace1, v_drho%array)
 
                     CALL get_derivs_rho(laplace2, laplace, step, xc_fun_section, lsd, rho2_set, deriv_set1)
 
                     ! Obtain the numerical 2nd derivatives w.r.t. to drho and collect the potential
                     CALL update_deriv(deriv_set1, laplace, rho_cutoff, [deriv_rho], bo, &
                                       rweight, rho1, v_laplace%array)
                     CALL update_deriv(deriv_set1, laplace, rho_cutoff, [deriv_norm_drho], bo, &
                                       rweight, dr1dr, v_laplace%array)
 
                     IF (tau_f) THEN
                        CALL update_deriv(deriv_set1, laplace, rho_cutoff, [deriv_tau], bo, &
                                          rweight, tau1, v_laplace%array)
                     END IF
 
                     CALL update_deriv(deriv_set1, laplace, rho_cutoff, [deriv_laplace_rho], bo, &
                                       rweight, laplace1, v_laplace%array)
                  END IF
               END DO
 
               ! Calculate the virial contribution from the potential
               CALL virial_drho_drho(virial_pw, drho, v_drho, virial_xc)
 
               CALL deallocate_pw(v_drho, pw_pool)
 
               IF (laplace_f) THEN
                  virial_pw%array(:, :, :) = -rho(:, :, :)
                  CALL virial_laplace(virial_pw, pw_pool, virial_xc, v_laplace%array)
                  CALL deallocate_pw(v_laplace, pw_pool)
               END IF
 
               CALL deallocate_pw(virial_pw, pw_pool)
            END IF
 
         END IF
 
         CALL xc_dset_release(deriv_set1)
 
         DEALLOCATE (dr1dr)
 
         CALL xc_rho_set_release(rho1_set)
         CALL xc_rho_set_release(rho2_set)
      END IF
 
      DO ispin = 1, SIZE(rho_r)
         CALL pw_pool%give_back_pw(rho_r(ispin))
      END DO
      DEALLOCATE (rho_r)
 
      IF (ASSOCIATED(tau_r)) THEN
      DO ispin = 1, SIZE(tau_r)
         CALL pw_pool%give_back_pw(tau_r(ispin))
      END DO
      DEALLOCATE (tau_r)
      END IF
 
      CALL timestop(handle)
 
   END SUBROUTINE xc_calc_2nd_deriv_numerical
 
! **************************************************************************************************
!> \brief ...
!> \param rho_r ...
!> \param rho_g ...
!> \param rho1_r ...
!> \param rhoa ...
!> \param rhob ...
!> \param vxc_rho ...
!> \param tau_r ...
!> \param tau1_r ...
!> \param tau_a ...
!> \param tau_b ...
!> \param vxc_tau ...
!> \param xc_section ...
!> \param pw_pool ...
!> \param step ...
! **************************************************************************************************
   SUBROUTINE calc_resp_potential_numer_ab(rho_r, rho_g, rho1_r, rhoa, rhob, vxc_rho, &
                                           tau_r, tau1_r, tau_a, tau_b, vxc_tau, &
                                           xc_section, weights, pw_pool, step)
 
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER, INTENT(IN) :: vxc_rho, vxc_tau
      TYPE(pw_r3d_rs_type), DIMENSION(:), INTENT(IN)            :: rho1_r
      TYPE(pw_r3d_rs_type), DIMENSION(:), INTENT(IN), POINTER   :: tau1_r
      TYPE(pw_r3d_rs_type), INTENT(IN), POINTER                 :: weights
      TYPE(pw_pool_type), INTENT(IN), POINTER            :: pw_pool
      TYPE(section_vals_type), INTENT(IN), POINTER       :: xc_section
      REAL(kind=dp), INTENT(IN)                          :: step
      REAL(kind=dp), DIMENSION(:, :, :), POINTER, INTENT(IN) :: rhoa, rhob, tau_a, tau_b
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER, INTENT(IN)   :: rho_r
      TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER :: rho_g
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER               ::  tau_r
 
      CHARACTER(len=*), PARAMETER :: routinen = 'calc_resp_potential_numer_ab'
 
      INTEGER                                            :: handle
      REAL(kind=dp)                                      :: exc
      REAL(kind=dp), DIMENSION(3, 3)                     :: virial_dummy
 
      CALL timeset(routinen, handle)
 
!$OMP PARALLEL DEFAULT(NONE) SHARED(rho_r,rhoa,rhob,step,rho1_r,tau_r,tau_a,tau_b,tau1_r)
!$OMP WORKSHARE
      rho_r(1)%array(:, :, :) = rhoa(:, :, :) + step*rho1_r(1)%array(:, :, :)
!$OMP END WORKSHARE NOWAIT
!$OMP WORKSHARE
      rho_r(2)%array(:, :, :) = rhob(:, :, :) + step*rho1_r(2)%array(:, :, :)
!$OMP END WORKSHARE NOWAIT
      IF (ASSOCIATED(tau1_r) .AND. ASSOCIATED(tau_r) .AND. ASSOCIATED(tau_a) .AND. ASSOCIATED(tau_b)) THEN
!$OMP WORKSHARE
         tau_r(1)%array(:, :, :) = tau_a(:, :, :) + step*tau1_r(1)%array(:, :, :)
!$OMP END WORKSHARE NOWAIT
!$OMP WORKSHARE
         tau_r(2)%array(:, :, :) = tau_b(:, :, :) + step*tau1_r(2)%array(:, :, :)
!$OMP END WORKSHARE NOWAIT
      END IF
!$OMP END PARALLEL
      CALL xc_vxc_pw_create(vxc_rho, vxc_tau, exc, rho_r, rho_g, tau_r, xc_section, &
                            weights, pw_pool, .false., virial_dummy)
 
      CALL timestop(handle)
 
   END SUBROUTINE calc_resp_potential_numer_ab
 
! **************************************************************************************************
!> \brief calculates stress tensor and potential contributions from the first derivative
!> \param deriv_set ...
!> \param description ...
!> \param virial_pw ...
!> \param drho ...
!> \param drho1 ...
!> \param virial_xc ...
!> \param norm_drho ...
!> \param gradient_cut ...
!> \param dr1dr ...
!> \param v_drho ...
! **************************************************************************************************
   SUBROUTINE apply_drho(deriv_set, description, virial_pw, drho, drho1, &
                         virial_xc, norm_drho, gradient_cut, dr1dr, v_drho)
 
      TYPE(xc_derivative_set_type), INTENT(IN)           :: deriv_set
      INTEGER, DIMENSION(:), INTENT(in)                  :: description
      TYPE(pw_r3d_rs_type), INTENT(IN)                   :: virial_pw
      TYPE(cp_3d_r_cp_type), DIMENSION(3), INTENT(IN)    :: drho, drho1
      REAL(kind=dp), DIMENSION(3, 3), INTENT(INOUT)      :: virial_xc
      REAL(kind=dp), DIMENSION(:, :, :), INTENT(IN)      :: norm_drho
      REAL(kind=dp), INTENT(IN)                          :: gradient_cut
      REAL(kind=dp), DIMENSION(:, :, :), INTENT(IN)      :: dr1dr
      REAL(kind=dp), DIMENSION(:, :, :), INTENT(INOUT)   :: v_drho
 
      CHARACTER(len=*), PARAMETER :: routinen = 'apply_drho'
 
      INTEGER                                            :: handle
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: deriv_data
      TYPE(xc_derivative_type), POINTER                  :: deriv_att
 
      CALL timeset(routinen, handle)
 
      deriv_att => xc_dset_get_derivative(deriv_set, description)
      IF (ASSOCIATED(deriv_att)) THEN
         CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
         CALL virial_drho_drho1(virial_pw, drho, drho1, deriv_data, virial_xc)
 
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(dr1dr,gradient_cut,norm_drho,v_drho,deriv_data)
         v_drho(:, :, :) = v_drho(:, :, :) + &
                           deriv_data(:, :, :)*dr1dr(:, :, :)/max(gradient_cut, norm_drho(:, :, :))**2
!$OMP END PARALLEL WORKSHARE
      END IF
 
      CALL timestop(handle)
 
   END SUBROUTINE apply_drho
 
! **************************************************************************************************
!> \brief adds potential contributions from derivatives of rho or diagonal terms of norm_drho
!> \param deriv_set1 ...
!> \param description ...
!> \param bo ...
!> \param norm_drho norm_drho of which derivative is calculated
!> \param gradient_cut ...
!> \param h ...
!> \param rho1 function to contract the derivative with (rho1 for rho, dr1dr for norm_drho)
!> \param v_drho ...
! **************************************************************************************************
   SUBROUTINE update_deriv_rho(deriv_set1, description, bo, norm_drho, gradient_cut, weight, rho1, v_drho)
 
      TYPE(xc_derivative_set_type), INTENT(IN)           :: deriv_set1
      INTEGER, DIMENSION(:), INTENT(in)                  :: description
      INTEGER, DIMENSION(2, 3), INTENT(IN)               :: bo
      REAL(kind=dp), DIMENSION(bo(1, 1):bo(2, 1), bo(1, &
                                                     2):bo(2, 2), bo(1, 3):bo(2, 3)), INTENT(IN)     :: norm_drho
      REAL(kind=dp), INTENT(IN)                          :: gradient_cut, weight
      REAL(kind=dp), DIMENSION(bo(1, 1):bo(2, 1), bo(1, &
                                                     2):bo(2, 2), bo(1, 3):bo(2, 3)), INTENT(IN)     :: rho1
      REAL(kind=dp), DIMENSION(bo(1, 1):bo(2, 1), bo(1, &
                                                     2):bo(2, 2), bo(1, 3):bo(2, 3)), INTENT(INOUT)  :: v_drho
 
      CHARACTER(len=*), PARAMETER :: routinen = 'update_deriv_rho'
 
      INTEGER                                            :: handle, i, j, k
      REAL(kind=dp)                                      :: de
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: deriv_data1
      TYPE(xc_derivative_type), POINTER                  :: deriv_att1
 
      CALL timeset(routinen, handle)
 
      ! Obtain the numerical 2nd derivatives w.r.t. to drho and collect the potential
      deriv_att1 => xc_dset_get_derivative(deriv_set1, description)
      IF (ASSOCIATED(deriv_att1)) THEN
         CALL xc_derivative_get(deriv_att1, deriv_data=deriv_data1)
!$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP             SHARED(bo,deriv_data1,weight,norm_drho,v_drho,rho1,gradient_cut) &
!$OMP             PRIVATE(i,j,k,de) &
!$OMP             COLLAPSE(3)
         DO k = bo(1, 3), bo(2, 3)
            DO j = bo(1, 2), bo(2, 2)
               DO i = bo(1, 1), bo(2, 1)
                  de = weight*deriv_data1(i, j, k)/max(gradient_cut, norm_drho(i, j, k))**2
                  v_drho(i, j, k) = v_drho(i, j, k) - de*rho1(i, j, k)
               END DO
            END DO
         END DO
!$OMP END PARALLEL DO
      END IF
 
      CALL timestop(handle)
 
   END SUBROUTINE update_deriv_rho
 
! **************************************************************************************************
!> \brief adds potential contributions from derivatives of a component with positive and negative values
!> \param deriv_set1 ...
!> \param description ...
!> \param bo ...
!> \param h ...
!> \param rho1 function to contract the derivative with (rho1 for rho, dr1dr for norm_drho)
!> \param v ...
! **************************************************************************************************
   SUBROUTINE update_deriv(deriv_set1, rho, rho_cutoff, description, bo, weight, rho1, v)
 
      TYPE(xc_derivative_set_type), INTENT(IN)           :: deriv_set1
      INTEGER, DIMENSION(:), INTENT(in)                  :: description
      INTEGER, DIMENSION(2, 3), INTENT(IN)               :: bo
      REAL(kind=dp), INTENT(IN)                          :: weight, rho_cutoff
      REAL(kind=dp), DIMENSION(bo(1, 1):bo(2, 1), bo(1, &
                                                     2):bo(2, 2), bo(1, 3):bo(2, 3)), INTENT(IN)     :: rho, rho1
      REAL(kind=dp), DIMENSION(bo(1, 1):bo(2, 1), bo(1, &
                                                     2):bo(2, 2), bo(1, 3):bo(2, 3)), INTENT(INOUT)  :: v
 
      CHARACTER(len=*), PARAMETER :: routinen = 'update_deriv'
 
      INTEGER                                            :: handle, i, j, k
      REAL(kind=dp)                                      :: de
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: deriv_data1
      TYPE(xc_derivative_type), POINTER                  :: deriv_att1
 
      CALL timeset(routinen, handle)
 
      ! Obtain the numerical 2nd derivatives w.r.t. to drho and collect the potential
      deriv_att1 => xc_dset_get_derivative(deriv_set1, description)
      IF (ASSOCIATED(deriv_att1)) THEN
         CALL xc_derivative_get(deriv_att1, deriv_data=deriv_data1)
!$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP             SHARED(bo,deriv_data1,weight,v,rho1,rho, rho_cutoff) &
!$OMP             PRIVATE(i,j,k,de) &
!$OMP             COLLAPSE(3)
         DO k = bo(1, 3), bo(2, 3)
            DO j = bo(1, 2), bo(2, 2)
               DO i = bo(1, 1), bo(2, 1)
                  ! We have to consider that the given density (mostly the Laplacian) may have positive and negative values
                  de = weight*deriv_data1(i, j, k)/sign(max(abs(rho(i, j, k)), rho_cutoff), rho(i, j, k))
                  v(i, j, k) = v(i, j, k) + de*rho1(i, j, k)
               END DO
            END DO
         END DO
!$OMP END PARALLEL DO
      END IF
 
      CALL timestop(handle)
 
   END SUBROUTINE update_deriv
 
! **************************************************************************************************
!> \brief adds mixed derivatives of norm_drho
!> \param deriv_set1 ...
!> \param description ...
!> \param bo ...
!> \param norm_drhoa norm_drho of which derivatives is calculated
!> \param gradient_cut ...
!> \param h ...
!> \param dra1dra dr1dr corresponding to norm_drho
!> \param drb1drb ...
!> \param v_drhoa potential corresponding to norm_drho
!> \param v_drhob ...
! **************************************************************************************************
   SUBROUTINE update_deriv_drho_ab(deriv_set1, description, bo, &
                                   norm_drhoa, gradient_cut, weight, dra1dra, drb1drb, v_drhoa, v_drhob)
 
      TYPE(xc_derivative_set_type), INTENT(IN)           :: deriv_set1
      INTEGER, DIMENSION(:), INTENT(in)                  :: description
      INTEGER, DIMENSION(2, 3), INTENT(IN)               :: bo
      REAL(kind=dp), DIMENSION(bo(1, 1):bo(2, 1), bo(1, &
                                                     2):bo(2, 2), bo(1, 3):bo(2, 3)), INTENT(IN)     :: norm_drhoa
      REAL(kind=dp), INTENT(IN)                          :: gradient_cut, weight
      REAL(kind=dp), DIMENSION(bo(1, 1):bo(2, 1), bo(1, &
                                                     2):bo(2, 2), bo(1, 3):bo(2, 3)), INTENT(IN)     :: dra1dra, drb1drb
      REAL(kind=dp), DIMENSION(bo(1, 1):bo(2, 1), bo(1, &
                                                     2):bo(2, 2), bo(1, 3):bo(2, 3)), INTENT(INOUT)  :: v_drhoa, v_drhob
 
      CHARACTER(len=*), PARAMETER :: routinen = 'update_deriv_drho_ab'
 
      INTEGER                                            :: handle, i, j, k
      REAL(kind=dp)                                      :: de
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: deriv_data1
      TYPE(xc_derivative_type), POINTER                  :: deriv_att1
 
      CALL timeset(routinen, handle)
 
      deriv_att1 => xc_dset_get_derivative(deriv_set1, description)
      IF (ASSOCIATED(deriv_att1)) THEN
         CALL xc_derivative_get(deriv_att1, deriv_data=deriv_data1)
!$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP             PRIVATE(k,j,i,de) &
!$OMP             SHARED(bo,drb1drb,dra1dra,deriv_data1,weight,gradient_cut,norm_drhoa,v_drhoa,v_drhob) &
!$OMP             COLLAPSE(3)
         DO k = bo(1, 3), bo(2, 3)
            DO j = bo(1, 2), bo(2, 2)
               DO i = bo(1, 1), bo(2, 1)
                  ! We introduce a factor of two because we will average between both numerical derivatives
                  de = 0.5_dp*weight*deriv_data1(i, j, k)/max(gradient_cut, norm_drhoa(i, j, k))**2
                  v_drhoa(i, j, k) = v_drhoa(i, j, k) - de*drb1drb(i, j, k)
                  v_drhob(i, j, k) = v_drhob(i, j, k) - de*dra1dra(i, j, k)
               END DO
            END DO
         END DO
!$OMP END PARALLEL DO
      END IF
 
      CALL timestop(handle)
 
   END SUBROUTINE update_deriv_drho_ab
 
! **************************************************************************************************
!> \brief calculate derivative sets for helper points
!> \param norm_drho2 norm_drho of new points
!> \param norm_drho norm_drho of KS density
!> \param h ...
!> \param xc_fun_section ...
!> \param lsd ...
!> \param rho2_set rho_set for new points
!> \param deriv_set1 will contain derivatives of the perturbed density
! **************************************************************************************************
   SUBROUTINE get_derivs_rho(norm_drho2, norm_drho, step, xc_fun_section, lsd, rho2_set, deriv_set1)
      REAL(kind=dp), DIMENSION(:, :, :), INTENT(OUT)     :: norm_drho2
      REAL(kind=dp), DIMENSION(:, :, :), INTENT(IN)      :: norm_drho
      REAL(kind=dp), INTENT(IN)                          :: step
      TYPE(section_vals_type), INTENT(IN), POINTER       :: xc_fun_section
      LOGICAL, INTENT(IN)                                :: lsd
      TYPE(xc_rho_set_type), INTENT(INOUT)               :: rho2_set
      TYPE(xc_derivative_set_type)                       :: deriv_set1
 
      CHARACTER(len=*), PARAMETER :: routinen = 'get_derivs_rho'
 
      INTEGER                                            :: handle
 
      CALL timeset(routinen, handle)
 
      ! Copy the densities, do one step into the direction of drho
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(norm_drho,norm_drho2,step)
      norm_drho2 = norm_drho*(1.0_dp + step)
!$OMP END PARALLEL WORKSHARE
 
      CALL xc_dset_zero_all(deriv_set1)
 
      ! Calculate the derivatives of the functional
      CALL xc_functionals_eval(xc_fun_section, &
                               lsd=lsd, &
                               rho_set=rho2_set, &
                               deriv_set=deriv_set1, &
                               deriv_order=1)
 
      ! Return to the original values
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(norm_drho,norm_drho2)
      norm_drho2 = norm_drho
!$OMP END PARALLEL WORKSHARE
 
      CALL divide_by_norm_drho(deriv_set1, rho2_set, lsd)
 
      CALL timestop(handle)
 
   END SUBROUTINE get_derivs_rho
 
! **************************************************************************************************
!> \brief Calculates the second derivative of E_xc at rho in the direction
!>      rho1  (if you see the second derivative as bilinear form)
!>      partial_rho|_(rho=rho) partial_rho|_(rho=rho) E_xc drho(rho1)drho
!>      The other direction is still undetermined, thus it returns
!>      a potential (partial integration is performed to reduce it to
!>      function of rho, removing the dependence from its partial derivs)
!>      Has to be called after the setup by xc_prep_2nd_deriv.
!> \param v_xc       exchange-correlation potential
!> \param v_xc_tau ...
!> \param deriv_set  derivatives of the exchange-correlation potential
!> \param rho_set    object containing the density at which the derivatives were calculated
!> \param rho1_set   object containing the density with which to fold
!> \param pw_pool    the pool for the grids
!> \param xc_section XC parameters
!> \param gapw       Gaussian and augmented plane waves calculation
!> \param vxg ...
!> \param tddfpt_fac factor that multiplies the crossterms (tddfpt triplets
!>        on a closed shell system it should be -1, defaults to 1)
!> \param compute_virial ...
!> \param virial_xc ...
!> \note
!>      The old version of this routine was smarter: it handled split_desc(1)
!>      and split_desc(2) separately, thus the code automatically handled all
!>      possible cross terms (you only had to check if it was diagonal to avoid
!>      double counting). I think that is the way to go if you want to add more
!>      terms (tau,rho in LSD,...). The problem with the old code was that it
!>      because of the old functional structure it sometime guessed wrongly
!>      which derivative was where. There were probably still bugs with gradient
!>      corrected functionals (never tested), and it didn't contain first
!>      derivatives with respect to drho (that contribute also to the second
!>      derivative wrt. rho).
!>      The code was a little complex because it really tried to handle any
!>      functional derivative in the most efficient way with the given contents of
!>      rho_set.
!>      Anyway I strongly encourage whoever wants to modify this code to give a
!>      look to the old version. [fawzi]
! **************************************************************************************************
   SUBROUTINE xc_calc_2nd_deriv_analytical(v_xc, v_xc_tau, deriv_set, rho_set, rho1_set, &
                                           pw_pool, xc_section, gapw, vxg, tddfpt_fac, &
                                           compute_virial, virial_xc, spinflip)
 
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER             :: v_xc, v_xc_tau
      TYPE(xc_derivative_set_type)                       :: deriv_set
      TYPE(xc_rho_set_type), INTENT(IN)                  :: rho_set, rho1_set
      TYPE(pw_pool_type), POINTER                        :: pw_pool
      TYPE(section_vals_type), POINTER                   :: xc_section
      LOGICAL, INTENT(IN), OPTIONAL                      :: gapw
      REAL(kind=dp), DIMENSION(:, :, :, :), OPTIONAL, &
         POINTER                                         :: vxg
      REAL(kind=dp), INTENT(in), OPTIONAL                :: tddfpt_fac
      LOGICAL, INTENT(IN), OPTIONAL                      :: compute_virial
      REAL(kind=dp), DIMENSION(3, 3), INTENT(INOUT), &
         OPTIONAL                                        :: virial_xc
      LOGICAL, INTENT(in), OPTIONAL                      :: spinflip
 
      CHARACTER(len=*), PARAMETER :: routinen = 'xc_calc_2nd_deriv_analytical'
 
      INTEGER                                            :: handle, i, ia, idir, ir, ispin, j, jdir, &
                                                            k, nspins, xc_deriv_method_id
      INTEGER, DIMENSION(2, 3)                           :: bo
      LOGICAL                                            :: gradient_f, lsd, my_compute_virial, alda0, &
                                                            my_gapw, tau_f, laplace_f, rho_f, do_spinflip
      REAL(kind=dp)                                      :: fac, gradient_cut, tmp, factor2, s, s_thresh
      REAL(kind=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: dr1dr, dra1dra, drb1drb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: deriv_data, deriv_data2, &
                                                            e_drhoa, e_drhob, e_drho, norm_drho, norm_drhoa, &
                                                            norm_drhob, rho1, rho1a, rho1b, &
                                                            tau1, tau1a, tau1b, laplace1, laplace1a, laplace1b, &
                                                            rho, rhoa, rhob
      TYPE(cp_3d_r_cp_type), DIMENSION(3)                :: drho, drho1, drho1a, drho1b, drhoa, drhob
      TYPE(pw_r3d_rs_type), DIMENSION(:), ALLOCATABLE         :: v_drhoa, v_drhob, v_drho, v_laplace
      TYPE(pw_r3d_rs_type), DIMENSION(:, :), ALLOCATABLE      :: v_drho_r
      TYPE(pw_r3d_rs_type)                                      ::  virial_pw
      TYPE(pw_c1d_gs_type) :: tmp_g, vxc_g
      TYPE(xc_derivative_type), POINTER                  :: deriv_att
 
      CALL timeset(routinen, handle)
 
      NULLIFY (e_drhoa, e_drhob, e_drho)
 
      my_gapw = .false.
      IF (PRESENT(gapw)) my_gapw = gapw
 
      my_compute_virial = .false.
      IF (PRESENT(compute_virial)) my_compute_virial = compute_virial
 
      cpassert(ASSOCIATED(v_xc))
      cpassert(ASSOCIATED(xc_section))
      IF (my_gapw) THEN
         cpassert(PRESENT(vxg))
      END IF
      IF (my_compute_virial) THEN
         cpassert(PRESENT(virial_xc))
      END IF
 
      CALL section_vals_val_get(xc_section, "XC_GRID%XC_DERIV", &
                                i_val=xc_deriv_method_id)
      CALL xc_rho_set_get(rho_set, drho_cutoff=gradient_cut)
      nspins = SIZE(v_xc)
      lsd = ASSOCIATED(rho_set%rhoa)
      fac = 0.0_dp
      factor2 = 1.0_dp
      IF (PRESENT(tddfpt_fac)) fac = tddfpt_fac
      IF (PRESENT(tddfpt_fac)) factor2 = tddfpt_fac
      do_spinflip = .false.
      IF (PRESENT(spinflip)) do_spinflip = spinflip
 
      bo = rho_set%local_bounds
 
      CALL check_for_derivatives(deriv_set, lsd, rho_f, gradient_f, tau_f, laplace_f)
 
      alda0 = .false.
      IF (gradient_f) THEN
         s_thresh = 1.0e-04_dp
      ELSE
         s_thresh = 1.0e-10_dp
      END IF
 
      IF (tau_f) THEN
         cpassert(ASSOCIATED(v_xc_tau))
      END IF
 
      IF (gradient_f) THEN
         ALLOCATE (v_drho_r(3, nspins), v_drho(nspins))
         DO ispin = 1, nspins
            DO idir = 1, 3
               CALL allocate_pw(v_drho_r(idir, ispin), pw_pool, bo)
            END DO
            CALL allocate_pw(v_drho(ispin), pw_pool, bo)
         END DO
 
         IF (xc_requires_tmp_g(xc_deriv_method_id) .AND. .NOT. my_gapw) THEN
            IF (ASSOCIATED(pw_pool)) THEN
               CALL pw_pool%create_pw(tmp_g)
               CALL pw_pool%create_pw(vxc_g)
            ELSE
               ! remember to refix for gapw
               cpabort("XC_DERIV method is not implemented in GAPW")
            END IF
         END IF
      END IF
 
      DO ispin = 1, nspins
         v_xc(ispin)%array = 0.0_dp
      END DO
 
      IF (tau_f) THEN
         DO ispin = 1, nspins
            v_xc_tau(ispin)%array = 0.0_dp
         END DO
      END IF
 
      IF (laplace_f .AND. my_gapw) THEN
         cpabort("Laplace-dependent functional not implemented with GAPW!")
      END IF
 
      IF (my_compute_virial .AND. (gradient_f .OR. laplace_f)) CALL allocate_pw(virial_pw, pw_pool, bo)
 
      IF (lsd) THEN
 
         !-------------------!
         ! UNrestricted case !
         !-------------------!
 
         IF (do_spinflip) THEN
            CALL xc_rho_set_get(rho1_set, rhoa=rho1a)
            CALL xc_rho_set_get(rho_set, rhoa=rhoa, rhob=rhob)
         ELSE
            CALL xc_rho_set_get(rho1_set, rhoa=rho1a, rhob=rho1b)
         END IF
 
         IF (gradient_f) THEN
            CALL xc_rho_set_get(rho_set, drhoa=drhoa, drhob=drhob, &
                                norm_drho=norm_drho, norm_drhoa=norm_drhoa, norm_drhob=norm_drhob)
            IF (do_spinflip) THEN
               CALL xc_rho_set_get(rho1_set, drhoa=drho1a)
               CALL calc_drho_from_a(drho1, drho1a)
            ELSE
               CALL xc_rho_set_get(rho1_set, drhoa=drho1a, drhob=drho1b)
               CALL calc_drho_from_ab(drho1, drho1a, drho1b)
            END IF
 
            CALL calc_drho_from_ab(drho, drhoa, drhob)
 
            CALL prepare_dr1dr(dra1dra, drhoa, drho1a)
            IF (do_spinflip) THEN
               CALL prepare_dr1dr(drb1drb, drhob, drho1a)
               CALL prepare_dr1dr(dr1dr, drho, drho1a)
            ELSE IF (nspins /= 1) THEN
               CALL prepare_dr1dr(drb1drb, drhob, drho1b)
               CALL prepare_dr1dr(dr1dr, drho, drho1)
            ELSE
               CALL prepare_dr1dr(drb1drb, drhob, drho1b)
               CALL prepare_dr1dr_ab(dr1dr, drhoa, drhob, drho1a, drho1b, fac)
            END IF
 
            ALLOCATE (v_drhoa(nspins), v_drhob(nspins))
            DO ispin = 1, nspins
               CALL allocate_pw(v_drhoa(ispin), pw_pool, bo)
               CALL allocate_pw(v_drhob(ispin), pw_pool, bo)
            END DO
 
         END IF
 
         IF (laplace_f) THEN
            CALL xc_rho_set_get(rho1_set, laplace_rhoa=laplace1a, laplace_rhob=laplace1b)
 
            ALLOCATE (v_laplace(nspins))
            DO ispin = 1, nspins
               CALL allocate_pw(v_laplace(ispin), pw_pool, bo)
            END DO
 
            IF (my_compute_virial) CALL xc_rho_set_get(rho_set, rhoa=rhoa, rhob=rhob)
         END IF
 
         IF (tau_f) THEN
            CALL xc_rho_set_get(rho1_set, tau_a=tau1a, tau_b=tau1b)
         END IF
 
         IF (do_spinflip) THEN
 
            ! vxc contributions
            !   vxc = (vxc^{\alpha}-vxc^{\beta})*rho1/(rhoa-rhob)
            !     Alpha LDA contribution
            !           | d e_xc     d e_xc |     rho1a
            !   vxca =  |-------- - --------|*-------------
            !           | drhoa      drhob  | |rhoa - rhob|
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
               deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
!$OMP             PARALLEL DO PRIVATE(k,j,i,s) DEFAULT(NONE)&
!$OMP             SHARED(bo,v_xc,deriv_data,deriv_data2,rho1a,rhoa,rhob,S_THRESH) COLLAPSE(3)
                  DO k = bo(1, 3), bo(2, 3)
                     DO j = bo(1, 2), bo(2, 2)
                        DO i = bo(1, 1), bo(2, 1)
                           s = max(abs(rhoa(i, j, k) - rhob(i, j, k)), s_thresh)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                                                    (deriv_data(i, j, k) - deriv_data2(i, j, k))*rho1a(i, j, k)/s
                        END DO
                     END DO
                  END DO
!$OMP             END PARALLEL DO
               END IF
            END IF
            ! GGA contributions to the spin-flip xcKernel
            !    GGA contribution
            !            |  d e_xc               d e_xc           |       1
            !   vxca +=  |----------* dra1dra - ----------*drb1drb|*-------------
            !            | d|drhoa|              d|drhob|         | |rhoa - rhob|
            IF (.NOT. alda0) THEN
               deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
!$OMP             PARALLEL DO PRIVATE(k,j,i,s) DEFAULT(NONE)&
!$OMP             SHARED(bo,deriv_data,deriv_data2,dra1dra,drb1drb,v_xc,rhoa,rhob,S_THRESH) COLLAPSE(3)
                     DO k = bo(1, 3), bo(2, 3)
                        DO j = bo(1, 2), bo(2, 2)
                           DO i = bo(1, 1), bo(2, 1)
                              s = max(abs(rhoa(i, j, k) - rhob(i, j, k)), s_thresh)
                              v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                                                       (deriv_data(i, j, k)*dra1dra(i, j, k) - &
                                                        deriv_data2(i, j, k)*drb1drb(i, j, k))/s
                           END DO
                        END DO
                     END DO
!$OMP             END PARALLEL DO
                  END IF
               END IF
            END IF
 
         ELSE IF (nspins /= 1) THEN
 
            ! Compute \sum_{\tau}fxc^{\sigma\tau}*\rho^{\tau}(1) over the grid points
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,rho1a,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,rho1b,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,dra1dra,v_drhoa,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,tau1a,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,tau1b,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,laplace1a,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,laplace1b,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,rho1a,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,rho1b,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,dra1dra,v_drhoa,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,tau1a,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,tau1b,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,laplace1a,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,laplace1b,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,rho1a,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                           v_drho(2)%array(i, j, k) = v_drho(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,rho1b,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*rho1b(i, j, k)
                           v_drho(2)%array(i, j, k) = v_drho(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,dr1dr,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                           v_drho(2)%array(i, j, k) = v_drho(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,dra1dra,v_drhoa,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                           v_drho(2)%array(i, j, k) = v_drho(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*drb1drb(i, j, k)
                           v_drho(2)%array(i, j, k) = v_drho(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,tau1a,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                           v_drho(2)%array(i, j, k) = v_drho(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,tau1b,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*tau1b(i, j, k)
                           v_drho(2)%array(i, j, k) = v_drho(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,laplace1a,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                           v_drho(2)%array(i, j, k) = v_drho(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,laplace1b,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*laplace1b(i, j, k)
                           v_drho(2)%array(i, j, k) = v_drho(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
               CALL xc_derivative_get(deriv_att, deriv_data=e_drho)
 
                  IF (my_compute_virial) THEN
                     CALL virial_drho_drho1(virial_pw, drho, drho1, deriv_data, virial_xc)
                  END IF ! my_compute_virial
 
!$OMP       PARALLEL WORKSHARE DEFAULT(NONE) SHARED(dr1dr,gradient_cut,norm_drho,v_drho,deriv_data)
                  v_drho(1)%array(:, :, :) = v_drho(1)%array(:, :, :) + &
                                                    deriv_data(:, :, :)*dr1dr(:, :, :)/max(gradient_cut, norm_drho(:, :, :))**2
                  v_drho(2)%array(:, :, :) = v_drho(2)%array(:, :, :) + &
                                                    deriv_data(:, :, :)*dr1dr(:, :, :)/max(gradient_cut, norm_drho(:, :, :))**2
!$OMP       END PARALLEL WORKSHARE
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,rho1a,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,rho1b,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,dra1dra,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,tau1a,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,tau1b,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,laplace1a,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,laplace1b,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
               CALL xc_derivative_get(deriv_att, deriv_data=e_drhoa)
 
                  IF (my_compute_virial) THEN
                     CALL virial_drho_drho1(virial_pw, drhoa, drho1a, deriv_data, virial_xc)
                  END IF ! my_compute_virial
 
!$OMP       PARALLEL WORKSHARE DEFAULT(NONE) SHARED(dra1dra,gradient_cut,norm_drhoa,v_drhoa,deriv_data)
                  v_drhoa(1)%array(:, :, :) = v_drhoa(1)%array(:, :, :) + &
                                                    deriv_data(:, :, :)*dra1dra(:, :, :)/max(gradient_cut, norm_drhoa(:, :, :))**2
!$OMP       END PARALLEL WORKSHARE
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhob,deriv_data,rho1a,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhob(2)%array(i, j, k) = v_drhob(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhob,deriv_data,rho1b,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhob(2)%array(i, j, k) = v_drhob(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhob,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhob(2)%array(i, j, k) = v_drhob(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhob,deriv_data,dra1dra,v_drhoa,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhob(2)%array(i, j, k) = v_drhob(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhob,deriv_data,drb1drb,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhob(2)%array(i, j, k) = v_drhob(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhob,deriv_data,tau1a,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhob(2)%array(i, j, k) = v_drhob(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhob,deriv_data,tau1b,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhob(2)%array(i, j, k) = v_drhob(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhob,deriv_data,laplace1a,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhob(2)%array(i, j, k) = v_drhob(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhob,deriv_data,laplace1b,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhob(2)%array(i, j, k) = v_drhob(2)%array(i, j, k) - &
                           deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
               CALL xc_derivative_get(deriv_att, deriv_data=e_drhob)
 
                  IF (my_compute_virial) THEN
                     CALL virial_drho_drho1(virial_pw, drhob, drho1b, deriv_data, virial_xc)
                  END IF ! my_compute_virial
 
!$OMP       PARALLEL WORKSHARE DEFAULT(NONE) SHARED(drb1drb,gradient_cut,norm_drhob,v_drhob,deriv_data)
                  v_drhob(2)%array(:, :, :) = v_drhob(2)%array(:, :, :) + &
                                                    deriv_data(:, :, :)*drb1drb(:, :, :)/max(gradient_cut, norm_drhob(:, :, :))**2
!$OMP       END PARALLEL WORKSHARE
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,rho1a,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,rho1b,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,dra1dra,v_drhoa,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,tau1a,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,tau1b,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,laplace1a,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,laplace1b,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_b, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,rho1a,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(2)%array(i, j, k) = v_xc_tau(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_b, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,rho1b,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(2)%array(i, j, k) = v_xc_tau(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_b, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(2)%array(i, j, k) = v_xc_tau(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_b, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,dra1dra,v_drhoa,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(2)%array(i, j, k) = v_xc_tau(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_b, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(2)%array(i, j, k) = v_xc_tau(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_b, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,tau1a,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(2)%array(i, j, k) = v_xc_tau(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_b, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,tau1b,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(2)%array(i, j, k) = v_xc_tau(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_b, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,laplace1a,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(2)%array(i, j, k) = v_xc_tau(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_b, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,laplace1b,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(2)%array(i, j, k) = v_xc_tau(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,rho1a,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,rho1b,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,dra1dra,v_drhoa,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,tau1a,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,tau1b,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,laplace1a,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,laplace1b,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
 
            IF (my_compute_virial) THEN
               deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
 
                  virial_pw%array(:, :, :) = -rho1a(:, :, :)
                  CALL virial_laplace(virial_pw, pw_pool, virial_xc, deriv_data)
               END IF
            END IF ! my_compute_virial
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhob, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,rho1a,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhob, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,rho1b,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhob, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhob, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,dra1dra,v_drhoa,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhob, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhob, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,tau1a,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhob, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,tau1b,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhob, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,laplace1a,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhob, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,laplace1b,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
 
            IF (my_compute_virial) THEN
               deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhob])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
 
                  virial_pw%array(:, :, :) = -rho1b(:, :, :)
                  CALL virial_laplace(virial_pw, pw_pool, virial_xc, deriv_data)
               END IF
            END IF ! my_compute_virial
 
 
         ELSE
 
            ! Compute (fxc^{\alpha\alpha}+-fxc^{\beta\beta})*\rho(1) over the grid points
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,rho1a,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,dra1dra,v_drhoa,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,tau1a,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,laplace1a,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,rho1b,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           fac*deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           fac*deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,tau1b,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           fac*deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,laplace1b,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           fac*deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,rho1a,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,dr1dr,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,dra1dra,v_drhoa,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,tau1a,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,laplace1a,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,rho1b,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           fac*deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           fac*deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,tau1b,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           fac*deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,laplace1b,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           fac*deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
               CALL xc_derivative_get(deriv_att, deriv_data=e_drho)
 
 
!$OMP       PARALLEL WORKSHARE DEFAULT(NONE) SHARED(dr1dr,gradient_cut,norm_drho,v_drho,deriv_data)
                  v_drho(1)%array(:, :, :) = v_drho(1)%array(:, :, :) + &
                                                    deriv_data(:, :, :)*dr1dr(:, :, :)/max(gradient_cut, norm_drho(:, :, :))**2
!$OMP       END PARALLEL WORKSHARE
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,rho1a,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,dra1dra,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,tau1a,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,laplace1a,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,rho1b,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           fac*deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           fac*deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,tau1b,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           fac*deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drhoa,deriv_data,laplace1b,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                           fac*deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
               CALL xc_derivative_get(deriv_att, deriv_data=e_drhoa)
 
 
!$OMP       PARALLEL WORKSHARE DEFAULT(NONE) SHARED(dra1dra,gradient_cut,norm_drhoa,v_drhoa,deriv_data)
                  v_drhoa(1)%array(:, :, :) = v_drhoa(1)%array(:, :, :) + &
                                                    deriv_data(:, :, :)*dra1dra(:, :, :)/max(gradient_cut, norm_drhoa(:, :, :))**2
!$OMP       END PARALLEL WORKSHARE
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,rho1a,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,dra1dra,v_drhoa,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,tau1a,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,laplace1a,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,rho1b,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           fac*deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           fac*deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,tau1b,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           fac*deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau_a, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,laplace1b,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           fac*deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,rho1a,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_norm_drhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,dra1dra,v_drhoa,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*dra1dra(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_tau_a])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,tau1a,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_laplace_rhoa])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,laplace1a,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1a(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,rho1b,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           fac*deriv_data(i, j, k)*rho1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_norm_drhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,drb1drb,v_drhob,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           fac*deriv_data(i, j, k)*drb1drb(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_tau_b])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,tau1b,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           fac*deriv_data(i, j, k)*tau1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rhoa, deriv_laplace_rhob])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,laplace1b,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + &
                           fac*deriv_data(i, j, k)*laplace1b(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
 
 
 
         END IF
 
         IF (gradient_f) THEN
            IF (.NOT. do_spinflip) THEN
 
               IF (my_compute_virial) THEN
                  CALL virial_drho_drho(virial_pw, drhoa, v_drhoa(1), virial_xc)
                  CALL virial_drho_drho(virial_pw, drhob, v_drhob(2), virial_xc)
                  DO idir = 1, 3
!$OMP                PARALLEL WORKSHARE DEFAULT(NONE) SHARED(drho,idir,v_drho,virial_pw)
                     virial_pw%array(:, :, :) = drho(idir)%array(:, :, :)*(v_drho(1)%array(:, :, :) + v_drho(2)%array(:, :, :))
!$OMP                END PARALLEL WORKSHARE
                     DO jdir = 1, idir
                        tmp = -0.5_dp*virial_pw%pw_grid%dvol*accurate_dot_product(virial_pw%array(:, :, :), &
                                                                                  drho(jdir)%array(:, :, :))
                        virial_xc(jdir, idir) = virial_xc(jdir, idir) + tmp
                        virial_xc(idir, jdir) = virial_xc(jdir, idir)
                     END DO
                  END DO
               END IF ! my_compute_virial
 
               IF (my_gapw) THEN
!$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP             PRIVATE(ia,idir,ispin,ir) &
!$OMP             SHARED(bo,nspins,vxg,drhoa,drhob,v_drhoa,v_drhob,v_drho, &
!$OMP                   e_drhoa,e_drhob,e_drho,drho1a,drho1b,fac,drho,drho1) COLLAPSE(3)
                  DO ir = bo(1, 2), bo(2, 2)
                     DO ia = bo(1, 1), bo(2, 1)
                        DO idir = 1, 3
                           DO ispin = 1, nspins
                              vxg(idir, ia, ir, ispin) = &
                                 -(v_drhoa(ispin)%array(ia, ir, 1)*drhoa(idir)%array(ia, ir, 1) + &
                                   v_drhob(ispin)%array(ia, ir, 1)*drhob(idir)%array(ia, ir, 1) + &
                                   v_drho(ispin)%array(ia, ir, 1)*drho(idir)%array(ia, ir, 1))
                           END DO
                           IF (ASSOCIATED(e_drhoa)) THEN
                              vxg(idir, ia, ir, 1) = vxg(idir, ia, ir, 1) + &
                                                     e_drhoa(ia, ir, 1)*drho1a(idir)%array(ia, ir, 1)
                           END IF
                           IF (nspins /= 1 .AND. ASSOCIATED(e_drhob)) THEN
                              vxg(idir, ia, ir, 2) = vxg(idir, ia, ir, 2) + &
                                                     e_drhob(ia, ir, 1)*drho1b(idir)%array(ia, ir, 1)
                           END IF
                           IF (ASSOCIATED(e_drho)) THEN
                              IF (nspins /= 1) THEN
                                 vxg(idir, ia, ir, 1) = vxg(idir, ia, ir, 1) + &
                                                        e_drho(ia, ir, 1)*drho1(idir)%array(ia, ir, 1)
                                 vxg(idir, ia, ir, 2) = vxg(idir, ia, ir, 2) + &
                                                        e_drho(ia, ir, 1)*drho1(idir)%array(ia, ir, 1)
                              ELSE
                                 vxg(idir, ia, ir, 1) = vxg(idir, ia, ir, 1) + &
                                                        e_drho(ia, ir, 1)*(drho1a(idir)%array(ia, ir, 1) + &
                                                                           fac*drho1b(idir)%array(ia, ir, 1))
                              END IF
                           END IF
                        END DO
                     END DO
                  END DO
!$OMP END PARALLEL DO
               ELSE
 
                  ! partial integration
                  DO idir = 1, 3
 
                     DO ispin = 1, nspins
!$OMP                   PARALLEL WORKSHARE DEFAULT(NONE) &
!$OMP                   SHARED(v_drho_r,v_drhoa,v_drhob,v_drho,drhoa,drhob,drho,ispin,idir)
                        v_drho_r(idir, ispin)%array(:, :, :) = &
                           v_drhoa(ispin)%array(:, :, :)*drhoa(idir)%array(:, :, :) + &
                           v_drhob(ispin)%array(:, :, :)*drhob(idir)%array(:, :, :) + &
                           v_drho(ispin)%array(:, :, :)*drho(idir)%array(:, :, :)
!$OMP                   END PARALLEL WORKSHARE
                     END DO
                     IF (ASSOCIATED(e_drhoa)) THEN
!$OMP                   PARALLEL WORKSHARE DEFAULT(NONE) &
!$OMP                   SHARED(v_drho_r,e_drhoa,drho1a,idir)
                        v_drho_r(idir, 1)%array(:, :, :) = v_drho_r(idir, 1)%array(:, :, :) - &
                                                           e_drhoa(:, :, :)*drho1a(idir)%array(:, :, :)
!$OMP                   END PARALLEL WORKSHARE
                     END IF
                     IF (nspins /= 1 .AND. ASSOCIATED(e_drhob)) THEN
!$OMP                   PARALLEL WORKSHARE DEFAULT(NONE)&
!$OMP                   SHARED(v_drho_r,e_drhob,drho1b,idir)
                        v_drho_r(idir, 2)%array(:, :, :) = v_drho_r(idir, 2)%array(:, :, :) - &
                                                           e_drhob(:, :, :)*drho1b(idir)%array(:, :, :)
!$OMP                   END PARALLEL WORKSHARE
                     END IF
                     IF (ASSOCIATED(e_drho)) THEN
!$OMP                   PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP                   SHARED(bo,v_drho_r,e_drho,drho1a,drho1b,drho1,fac,idir,nspins) COLLAPSE(3)
                        DO k = bo(1, 3), bo(2, 3)
                           DO j = bo(1, 2), bo(2, 2)
                              DO i = bo(1, 1), bo(2, 1)
                                 IF (nspins /= 1) THEN
                                    v_drho_r(idir, 1)%array(i, j, k) = v_drho_r(idir, 1)%array(i, j, k) - &
                                                                       e_drho(i, j, k)*drho1(idir)%array(i, j, k)
                                    v_drho_r(idir, 2)%array(i, j, k) = v_drho_r(idir, 2)%array(i, j, k) - &
                                                                       e_drho(i, j, k)*drho1(idir)%array(i, j, k)
                                 ELSE
                                    v_drho_r(idir, 1)%array(i, j, k) = v_drho_r(idir, 1)%array(i, j, k) - &
                                                                       e_drho(i, j, k)*(drho1a(idir)%array(i, j, k) + &
                                                                                        fac*drho1b(idir)%array(i, j, k))
                                 END IF
                              END DO
                           END DO
                        END DO
!$OMP END PARALLEL DO
                     END IF
                  END DO
 
                  ! partial integration
                  DO ispin = 1, nspins
                     CALL xc_pw_divergence(xc_deriv_method_id, v_drho_r(:, ispin), tmp_g, vxc_g, v_xc(ispin))
                  END DO ! ispin
 
               END IF
 
            END IF ! .NOT.do_spinflip
 
            DO idir = 1, 3
               DEALLOCATE (drho(idir)%array)
               DEALLOCATE (drho1(idir)%array)
            END DO
 
            DO ispin = 1, nspins
               CALL deallocate_pw(v_drhoa(ispin), pw_pool)
               CALL deallocate_pw(v_drhob(ispin), pw_pool)
            END DO
 
            DEALLOCATE (v_drhoa, v_drhob)
 
         END IF ! gradient_f
 
         IF (laplace_f .AND. my_compute_virial) THEN
            virial_pw%array(:, :, :) = -rhoa(:, :, :)
            CALL virial_laplace(virial_pw, pw_pool, virial_xc, v_laplace(1)%array)
            virial_pw%array(:, :, :) = -rhob(:, :, :)
            CALL virial_laplace(virial_pw, pw_pool, virial_xc, v_laplace(2)%array)
         END IF
 
      ELSE
 
         !-----------------!
         ! restricted case !
         !-----------------!
 
         CALL xc_rho_set_get(rho1_set, rho=rho1)
 
         IF (gradient_f) THEN
            CALL xc_rho_set_get(rho_set, drho=drho, norm_drho=norm_drho)
            CALL xc_rho_set_get(rho1_set, drho=drho1)
            CALL prepare_dr1dr(dr1dr, drho, drho1)
         END IF
 
         IF (laplace_f) THEN
            CALL xc_rho_set_get(rho1_set, laplace_rho=laplace1)
 
            ALLOCATE (v_laplace(nspins))
            DO ispin = 1, nspins
               CALL allocate_pw(v_laplace(ispin), pw_pool, bo)
            END DO
 
            IF (my_compute_virial) CALL xc_rho_set_get(rho_set, rho=rho)
         END IF
 
         IF (tau_f) THEN
            CALL xc_rho_set_get(rho1_set, tau=tau1)
         END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rho, deriv_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,rho1,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rho, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rho, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,tau1,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rho, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc,deriv_data,laplace1,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,rho1,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*rho1(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,dr1dr,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,tau1,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*tau1(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_drho,deriv_data,laplace1,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                           deriv_data(i, j, k)*laplace1(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
               CALL xc_derivative_get(deriv_att, deriv_data=e_drho)
 
                  IF (my_compute_virial) THEN
                     CALL virial_drho_drho1(virial_pw, drho, drho1, deriv_data, virial_xc)
                  END IF ! my_compute_virial
 
!$OMP       PARALLEL WORKSHARE DEFAULT(NONE) SHARED(dr1dr,gradient_cut,norm_drho,v_drho,deriv_data)
                  v_drho(1)%array(:, :, :) = v_drho(1)%array(:, :, :) + &
                                                    deriv_data(:, :, :)*dr1dr(:, :, :)/max(gradient_cut, norm_drho(:, :, :))**2
!$OMP       END PARALLEL WORKSHARE
            END IF
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau, deriv_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,rho1,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,tau1,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_tau, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_xc_tau,deriv_data,laplace1,v_laplace,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rho, deriv_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,rho1,v_xc,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*rho1(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rho, deriv_norm_drho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,dr1dr,v_drho,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*dr1dr(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rho, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,tau1,v_xc_tau,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*tau1(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rho, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP       PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP       SHARED(bo,v_laplace,deriv_data,laplace1,fac) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                           v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + &
                           deriv_data(i, j, k)*laplace1(i, j, k)
                     END DO
                  END DO
               END DO
            END IF
 
 
            IF (my_compute_virial) THEN
               deriv_att => xc_dset_get_derivative(deriv_set, [deriv_laplace_rho])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
 
                  virial_pw%array(:, :, :) = -rho1(:, :, :)
                  CALL virial_laplace(virial_pw, pw_pool, virial_xc, deriv_data)
               END IF
            END IF ! my_compute_virial
 
 
         IF (gradient_f) THEN
 
            IF (my_compute_virial) THEN
               CALL virial_drho_drho(virial_pw, drho, v_drho(1), virial_xc)
            END IF ! my_compute_virial
 
            IF (my_gapw) THEN
 
               DO idir = 1, 3
!$OMP PARALLEL DO DEFAULT(NONE) &
!$OMP             PRIVATE(ia,ir) &
!$OMP             SHARED(bo,vxg,drho,v_drho,e_drho,drho1,idir,factor2) &
!$OMP             COLLAPSE(2)
                  DO ia = bo(1, 1), bo(2, 1)
                     DO ir = bo(1, 2), bo(2, 2)
                        vxg(idir, ia, ir, 1) = -drho(idir)%array(ia, ir, 1)*v_drho(1)%array(ia, ir, 1)
                        IF (ASSOCIATED(e_drho)) THEN
                           vxg(idir, ia, ir, 1) = vxg(idir, ia, ir, 1) + factor2*drho1(idir)%array(ia, ir, 1)*e_drho(ia, ir, 1)
                        END IF
                     END DO
                  END DO
!$OMP END PARALLEL DO
               END DO
 
            ELSE
               ! partial integration
               DO idir = 1, 3
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(v_drho_r,drho,v_drho,drho1,e_drho,idir)
                  v_drho_r(idir, 1)%array(:, :, :) = drho(idir)%array(:, :, :)*v_drho(1)%array(:, :, :) - &
                                                     drho1(idir)%array(:, :, :)*e_drho(:, :, :)
!$OMP END PARALLEL WORKSHARE
               END DO
 
               CALL xc_pw_divergence(xc_deriv_method_id, v_drho_r(:, 1), tmp_g, vxc_g, v_xc(1))
            END IF
 
         END IF
 
         IF (laplace_f .AND. my_compute_virial) THEN
            virial_pw%array(:, :, :) = -rho(:, :, :)
            CALL virial_laplace(virial_pw, pw_pool, virial_xc, v_laplace(1)%array)
         END IF
 
      END IF
 
      IF (laplace_f) THEN
         DO ispin = 1, nspins
            CALL xc_pw_laplace(v_laplace(ispin), pw_pool, xc_deriv_method_id)
            CALL pw_axpy(v_laplace(ispin), v_xc(ispin))
         END DO
      END IF
 
      IF (gradient_f) THEN
 
         DO ispin = 1, nspins
            CALL deallocate_pw(v_drho(ispin), pw_pool)
            DO idir = 1, 3
               CALL deallocate_pw(v_drho_r(idir, ispin), pw_pool)
            END DO
         END DO
         DEALLOCATE (v_drho, v_drho_r)
 
      END IF
 
      IF (laplace_f) THEN
         DO ispin = 1, nspins
            CALL deallocate_pw(v_laplace(ispin), pw_pool)
         END DO
         DEALLOCATE (v_laplace)
      END IF
 
      IF (ASSOCIATED(tmp_g%pw_grid) .AND. ASSOCIATED(pw_pool)) THEN
         CALL pw_pool%give_back_pw(tmp_g)
      END IF
 
      IF (ASSOCIATED(vxc_g%pw_grid) .AND. ASSOCIATED(pw_pool)) THEN
         CALL pw_pool%give_back_pw(vxc_g)
      END IF
 
      IF (my_compute_virial .AND. (gradient_f .OR. laplace_f)) THEN
         CALL deallocate_pw(virial_pw, pw_pool)
      END IF
 
      CALL timestop(handle)
 
   END SUBROUTINE xc_calc_2nd_deriv_analytical
 
! **************************************************************************************************
!> \brief Calculates the third functional derivative of the exchange-correlation functional, E_xc.
!>      Any GGA functional can be written as:
!>
!>        E_xc[\rho] = \int e_xc(\rho,\nabla\rho)dr
!>
!>      This routine gives you back the contraction of the derivatives of e_xc with respect to the
!>      alpha or beta density or with respect to the norm of their gradients contracted with rho1.
!>      For example, the alpha component would be (d stands for total derivative):
!>
!>                                          d^3 e_xc
!>        v_xc(1) = \sum_{s,s'}^{a,b} ---------------------\rhos1\rho1s'
!>                                    d\rhoa d\rhos d\rhos'
!>
!> \param v_xc       Third derivative of the exchange-correlation functional
!> \param v_xc_tau ...
!> \param deriv_set  derivatives of the exchange-correlation potential, e_xc
!> \param rho_set    object containing the density at which the derivatives were calculated, \rho
!> \param rho1_set   object containing the density with which to fold, \rho1s
!> \param pw_pool    the pool for the grids
!> \param xc_section XC parameters
!> \par History
!>    * 07.2024 Created [LHS]
! **************************************************************************************************
   SUBROUTINE xc_calc_3rd_deriv_analytical(v_xc, v_xc_tau, deriv_set, rho_set, rho1_set, &
                                           pw_pool, xc_section, spinflip, gapw, vxg)
 
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: v_xc, v_xc_tau
      TYPE(xc_derivative_set_type)                       :: deriv_set
      TYPE(xc_rho_set_type), INTENT(IN)                  :: rho_set, rho1_set
      TYPE(pw_pool_type), POINTER                        :: pw_pool
      TYPE(section_vals_type), POINTER                   :: xc_section
      LOGICAL, INTENT(in), OPTIONAL                      :: spinflip
      LOGICAL, INTENT(IN), OPTIONAL                      :: gapw
      REAL(kind=dp), DIMENSION(:, :, :, :), OPTIONAL, POINTER :: vxg
 
      CHARACTER(len=*), PARAMETER :: routinen = 'xc_calc_3rd_deriv_analytical'
 
      INTEGER                                            :: handle, i, idir, ispin, j, &
                                                            k, nspins, xc_deriv_method_id
      INTEGER, DIMENSION(2, 3)                           :: bo
      LOGICAL                                            :: my_gapw
      LOGICAL                                            :: lsd, do_spinflip, alda0, &
                                                            rho_f, gradient_f, tau_f, laplace_f
      REAL(kind=dp)                                      :: s, s_thresh, s_thresh2, gradient_cut
      REAL(kind=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: dr1dr, dra1dra, drb1drb, dr1dr1
      REAL(kind=dp)                                      :: g1, g11, uu, aa, bb
      ! restricted meta-GGA (gamma formulation)
      REAL(kind=dp), ALLOCATABLE, DIMENSION(:, :, :), TARGET :: zero_f
      TYPE(pw_r3d_rs_type), DIMENSION(:), ALLOCATABLE    :: v_laplace
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: tau1, laplace1
      ! open-shell meta-GGA
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: tau1a, tau1b, laplace1a, laplace1b
      REAL(kind=dp) :: mp_rhoa, q_rhoa
      REAL(kind=dp) :: mp_rhob, q_rhob
      REAL(kind=dp) :: mp_gamma_aa, q_gamma_aa
      REAL(kind=dp) :: mp_gamma_ab, q_gamma_ab
      REAL(kind=dp) :: mp_gamma_bb, q_gamma_bb
      REAL(kind=dp) :: mp_laplace_rhoa, q_laplace_rhoa
      REAL(kind=dp) :: mp_laplace_rhob, q_laplace_rhob
      REAL(kind=dp) :: mp_tau_a, q_tau_a
      REAL(kind=dp) :: mp_tau_b, q_tau_b
      REAL(kind=dp) :: mpp_gamma_aa, nb_gamma_aa
      REAL(kind=dp) :: mpp_gamma_ab, nb_gamma_ab
      REAL(kind=dp) :: mpp_gamma_bb, nb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhob_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhob_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhob_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_tau_a_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_tau_a_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_tau_b_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhoa_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhoa_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhoa_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhoa_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhoa_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhoa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhoa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhoa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhoa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhob_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhob_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhob_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhob_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhob_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhob_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhob_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_rhob_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_aa_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_aa_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_aa_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_aa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_aa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_aa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_aa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_ab_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_ab_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_ab_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_ab_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_ab_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_ab_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_bb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_bb_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_bb_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_bb_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_gamma_bb_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_laplace_rhoa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_laplace_rhoa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_laplace_rhoa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_laplace_rhoa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_laplace_rhob_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_laplace_rhob_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_laplace_rhob_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_tau_a_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_tau_a_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhoa_tau_b_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_rhob_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_rhob_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_rhob_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_rhob_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_rhob_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_rhob_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_rhob_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_rhob_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_aa_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_aa_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_aa_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_aa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_aa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_aa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_aa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_ab_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_ab_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_ab_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_ab_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_ab_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_ab_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_bb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_bb_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_bb_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_bb_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_gamma_bb_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_laplace_rhoa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_laplace_rhoa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_laplace_rhoa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_laplace_rhoa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_laplace_rhob_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_laplace_rhob_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_laplace_rhob_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_tau_a_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_tau_a_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_rhob_tau_b_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_aa_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_aa_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_aa_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_aa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_aa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_aa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_aa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_ab_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_ab_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_ab_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_ab_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_ab_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_ab_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_bb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_bb_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_bb_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_bb_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_gamma_bb_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_laplace_rhoa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_laplace_rhoa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_laplace_rhoa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_laplace_rhoa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_laplace_rhob_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_laplace_rhob_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_laplace_rhob_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_tau_a_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_tau_a_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_aa_tau_b_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_ab_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_ab_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_ab_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_ab_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_ab_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_ab_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_bb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_bb_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_bb_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_bb_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_gamma_bb_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_laplace_rhoa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_laplace_rhoa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_laplace_rhoa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_laplace_rhoa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_laplace_rhob_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_laplace_rhob_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_laplace_rhob_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_tau_a_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_tau_a_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_ab_tau_b_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_gamma_bb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_gamma_bb_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_gamma_bb_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_gamma_bb_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_gamma_bb_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_laplace_rhoa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_laplace_rhoa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_laplace_rhoa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_laplace_rhoa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_laplace_rhob_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_laplace_rhob_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_laplace_rhob_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_tau_a_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_tau_a_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_gamma_bb_tau_b_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_laplace_rhoa_laplace_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_laplace_rhoa_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_laplace_rhoa_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_laplace_rhoa_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_laplace_rhob_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_laplace_rhob_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_laplace_rhob_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_tau_a_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_tau_a_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhoa_tau_b_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhob_laplace_rhob_laplace_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhob_laplace_rhob_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhob_laplace_rhob_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhob_tau_a_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhob_tau_a_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_laplace_rhob_tau_b_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_tau_a_tau_a_tau_a
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_tau_a_tau_a_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_tau_a_tau_b_tau_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: n_tau_b_tau_b_tau_b
      REAL(kind=dp) :: mp_rho, mp_gamma, mp_laplace_rho, mp_tau, mpp_gamma
      REAL(kind=dp) :: m_rho, m_gamma, m_laplace_rho, m_tau, m_b
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_rho
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_gamma
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_laplace_rho
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_gamma_gamma
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_gamma_laplace_rho
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_gamma_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_laplace_rho_laplace_rho
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_laplace_rho_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_tau_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_rho_rho
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_rho_gamma
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_rho_laplace_rho
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_rho_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_gamma_gamma
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_gamma_laplace_rho
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_gamma_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_laplace_rho_laplace_rho
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_laplace_rho_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_rho_tau_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_gamma_gamma_gamma
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_gamma_gamma_laplace_rho
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_gamma_gamma_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_gamma_laplace_rho_laplace_rho
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_gamma_laplace_rho_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_gamma_tau_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_laplace_rho_laplace_rho_laplace_rho
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_laplace_rho_laplace_rho_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_laplace_rho_tau_tau
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: m_tau_tau_tau
      ! open-shell gamma formulation
      REAL(kind=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: gaa1, gab1, gbb1, gaa11, gab11, gbb11
      REAL(kind=dp) :: p_rhoa, p_rhob, p_gamma_aa, p_gamma_ab, p_gamma_bb
      REAL(kind=dp) :: pp_gamma_aa, pp_gamma_ab, pp_gamma_bb
      REAL(kind=dp) :: u_a, u_b, a_gamma_aa, a_gamma_ab, a_gamma_bb, &
                       b_gamma_aa, b_gamma_ab, b_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_aa_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_aa_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_aa_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_ab_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_ab_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_bb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_rhoa_rhoa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_rhoa_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_rhoa_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_rhoa_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_rhoa_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_rhob_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_rhob_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_rhob_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_rhob_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_gamma_aa_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_gamma_aa_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_gamma_aa_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_gamma_ab_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_gamma_ab_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhoa_gamma_bb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_rhob_rhob
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_rhob_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_rhob_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_rhob_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_gamma_aa_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_gamma_aa_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_gamma_aa_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_gamma_ab_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_gamma_ab_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_rhob_gamma_bb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_aa_gamma_aa_gamma_aa
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_aa_gamma_aa_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_aa_gamma_aa_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_aa_gamma_ab_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_aa_gamma_ab_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_aa_gamma_bb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_ab_gamma_ab_gamma_ab
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_ab_gamma_ab_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_ab_gamma_bb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: g_gamma_bb_gamma_bb_gamma_bb
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: deriv_data, deriv_data2, e_drhoa, e_drhob, &
                                                            e_drho, norm_drho, norm_drhoa, &
                                                            norm_drhob, rho1a, rho1b, &
                                                            rhoa, rhob, rho1, &
                                                            e_rrr, e_rrg, e_rgg, e_ggg, e_rg, e_gg
      TYPE(cp_3d_r_cp_type), DIMENSION(3)                :: drho, drho1, drho1a, drho1b, drhoa, drhob
      TYPE(pw_r3d_rs_type), DIMENSION(:), ALLOCATABLE    :: v_drhoa, v_drhob, v_drho
      TYPE(pw_r3d_rs_type), DIMENSION(:, :), ALLOCATABLE :: v_drho_r
      TYPE(pw_c1d_gs_type)                               :: tmp_g, vxc_g
      TYPE(xc_derivative_type), POINTER                  :: deriv_att
 
      CALL timeset(routinen, handle)
 
      NULLIFY (e_drhoa, e_drhob, e_drho)
 
      cpassert(ASSOCIATED(v_xc))
      cpassert(ASSOCIATED(xc_section))
 
      ! Initialize parameters
      CALL section_vals_val_get(xc_section, "XC_GRID%XC_DERIV", &
                                i_val=xc_deriv_method_id)
      !
      nspins = SIZE(v_xc)
      lsd = ASSOCIATED(rho_set%rhoa)
      !
      do_spinflip = .false.
      IF (PRESENT(spinflip)) do_spinflip = spinflip
      my_gapw = .false.
      IF (PRESENT(gapw)) my_gapw = gapw
      IF (my_gapw) THEN
         cpassert(PRESENT(vxg))
         ! the atomic path integrates the gradient channel itself, and CP2K does
         ! not support Laplacian-dependent functionals in GAPW at all
         IF (laplace_f) cpabort("Laplace-dependent functional not implemented with GAPW!")
      END IF
      !
      bo = rho_set%local_bounds
      !
      CALL check_for_derivatives(deriv_set, lsd, rho_f, gradient_f, tau_f, laplace_f)
      !
      CALL xc_rho_set_get(rho_set, drho_cutoff=gradient_cut)
      !
      !S_THRESH has to be the same as S_THRESH in xc_calc_2nd_deriv_analytical
      alda0 = .false.
      s_thresh = 1.0e-04_dp
      s_thresh2 = 1.0e-07_dp
 
      ! Initialize potential
      DO ispin = 1, nspins
         !CALL pw_zero(v_xc(ispin))
         v_xc(ispin)%array = 0.0_dp
      END DO
 
      ! Create GGA fields
      IF (gradient_f) THEN
         ALLOCATE (v_drho_r(3, nspins), v_drho(nspins))
         DO ispin = 1, nspins
            DO idir = 1, 3
               CALL allocate_pw(v_drho_r(idir, ispin), pw_pool, bo)
            END DO
            CALL allocate_pw(v_drho(ispin), pw_pool, bo)
         END DO
 
         IF (xc_requires_tmp_g(xc_deriv_method_id)) THEN
            IF (ASSOCIATED(pw_pool)) THEN
               CALL pw_pool%create_pw(tmp_g)
               CALL pw_pool%create_pw(vxc_g)
            ELSE
               ! remember to refix for gapw
               cpabort("XC_DERIV method is not implemented in GAPW")
            END IF
         END IF
 
      END IF
 
      ! Initialize mGGA potential
      IF (tau_f) THEN
         cpassert(ASSOCIATED(v_xc_tau))
         DO ispin = 1, nspins
            v_xc_tau(ispin)%array = 0.0_dp
         END DO
      END IF
 
      IF (lsd) THEN
 
         !-------------------!
         ! UNrestricted case !
         !-------------------!
 
         IF (do_spinflip) THEN
            CALL xc_rho_set_get(rho1_set, rhoa=rho1a)
            CALL xc_rho_set_get(rho_set, rhoa=rhoa, rhob=rhob)
         ELSE
            CALL xc_rho_set_get(rho1_set, rhoa=rho1a, rhob=rho1b)
         END IF
 
         IF (gradient_f) THEN
            CALL xc_rho_set_get(rho_set, drhoa=drhoa, drhob=drhob, &
                                norm_drho=norm_drho, norm_drhoa=norm_drhoa, norm_drhob=norm_drhob)
            IF (do_spinflip) THEN
               CALL xc_rho_set_get(rho1_set, drhoa=drho1a)
               CALL calc_drho_from_a(drho1, drho1a)
            ELSE
               CALL xc_rho_set_get(rho1_set, drhoa=drho1a, drhob=drho1b)
               CALL calc_drho_from_ab(drho1, drho1a, drho1b)
            END IF
 
            CALL calc_drho_from_ab(drho, drhoa, drhob)
 
            CALL prepare_dr1dr(dra1dra, drhoa, drho1a)
            IF (do_spinflip) THEN
               CALL prepare_dr1dr(drb1drb, drhob, drho1a)
               CALL prepare_dr1dr(dr1dr, drho, drho1a)
            ELSE IF (nspins /= 1) THEN
               CALL prepare_dr1dr(drb1drb, drhob, drho1b)
               CALL prepare_dr1dr(dr1dr, drho, drho1)
            ELSE
               cpabort("Exchange-correlation's third derivative for closed-shell not yet implemented")
            END IF
 
            ! Create vectors for partial integration term
            ALLOCATE (v_drhoa(nspins), v_drhob(nspins))
            DO ispin = 1, nspins
               CALL allocate_pw(v_drhoa(ispin), pw_pool, bo)
               CALL allocate_pw(v_drhob(ispin), pw_pool, bo)
            END DO
 
         END IF
 
         ! The gamma formulation below covers tau and the Laplacian for the
         ! ordinary unrestricted case; the spin-flip kernel and the closed-shell
         ! triplet path are still LDA/GGA only.
         IF (laplace_f .AND. (do_spinflip .OR. nspins == 1)) THEN
            cpabort("Exchange-correlation's laplace analytic third derivative not implemented")
         END IF
 
         IF (tau_f .AND. (do_spinflip .OR. nspins == 1)) THEN
            cpabort("Exchange-correlation's mGGA analytic third derivative not implemented")
         END IF
 
         IF (nspins /= 1) THEN
 
            IF (.NOT. do_spinflip) THEN
 
               ! Spin-polarized third derivative in the reduced-gradient variables
               ! gamma_ij = grad rho_i . grad rho_j, contracted twice with rho1:
               !
               !   u_s   = sum_XY e_{rho_s X Y} X1 Y1 + sum_K e_{rho_s gK} gK11
               !   A_K   = sum_XY e_{gK X Y}   X1 Y1 + sum_L e_{gK gL}   gL11
               !   B_K   = sum_Y  e_{gK Y}     Y1
               !   v_a   = 2 grad rhoa A_aa + grad rhob A_ab
               !           + 2 ( 2 grad rho1a B_aa + grad rho1b B_ab )
               !
               ! and g_xc,s = u_s - div(v_s). X, Y run over rhoa, rhob and the three
               ! gammas. Nothing here divides by |grad rho|.
 
               IF (tau_f .OR. laplace_f) THEN
 
                  ! Spin-polarized meta-GGA. The same gamma formulation, with the
                  ! variable set widened to nine: rhoa, rhob, the three gammas,
                  ! the two Laplacians and the two taus. Only gamma is nonlinear
                  ! in the density, so only it carries a second variation.
 
                  CALL xc_rho_set_get(rho_set, drhoa=drhoa, drhob=drhob)
                  CALL xc_rho_set_get(rho1_set, drhoa=drho1a, drhob=drho1b)
                  IF (tau_f) CALL xc_rho_set_get(rho1_set, tau_a=tau1a, tau_b=tau1b)
                  IF (laplace_f) CALL xc_rho_set_get(rho1_set, laplace_rhoa=laplace1a, &
                                                     laplace_rhob=laplace1b)
                  CALL prepare_dr1dr(gaa1, drhoa, drho1a)
                  CALL prepare_dr1dr(gbb1, drhob, drho1b)
                  CALL prepare_dr1dr(gab1, drhoa, drho1b)
                  CALL prepare_dr1dr(gaa11, drho1a, drho1a)
                  CALL prepare_dr1dr(gbb11, drho1b, drho1b)
                  CALL prepare_dr1dr(gab11, drho1a, drho1b)
                  block
                     REAL(kind=dp), ALLOCATABLE, DIMENSION(:, :, :) :: tmp_ba
                     CALL prepare_dr1dr(tmp_ba, drhob, drho1a)
                     gab1(:, :, :) = gab1(:, :, :) + tmp_ba(:, :, :)
                  END block
 
                  ALLOCATE (zero_f(bo(1, 1):bo(2, 1), bo(1, 2):bo(2, 2), bo(1, 3):bo(2, 3)))
                  zero_f = 0.0_dp
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhoa)
                  ELSE
                     n_rhoa_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhob)
                  ELSE
                     n_rhoa_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_aa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_aa)
                  ELSE
                     n_rhoa_gamma_aa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_ab)
                  ELSE
                     n_rhoa_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_bb)
                  ELSE
                     n_rhoa_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_laplace_rhoa)
                  ELSE
                     n_rhoa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_laplace_rhob)
                  ELSE
                     n_rhoa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_tau_a)
                  ELSE
                     n_rhoa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_tau_b)
                  ELSE
                     n_rhoa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_rhob)
                  ELSE
                     n_rhob_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_aa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_aa)
                  ELSE
                     n_rhob_gamma_aa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_ab)
                  ELSE
                     n_rhob_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_bb)
                  ELSE
                     n_rhob_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_laplace_rhoa)
                  ELSE
                     n_rhob_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_laplace_rhob)
                  ELSE
                     n_rhob_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_tau_a)
                  ELSE
                     n_rhob_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_tau_b)
                  ELSE
                     n_rhob_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_aa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_aa)
                  ELSE
                     n_gamma_aa_gamma_aa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_ab)
                  ELSE
                     n_gamma_aa_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_bb)
                  ELSE
                     n_gamma_aa_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_laplace_rhoa)
                  ELSE
                     n_gamma_aa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_laplace_rhob)
                  ELSE
                     n_gamma_aa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_tau_a)
                  ELSE
                     n_gamma_aa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_tau_b)
                  ELSE
                     n_gamma_aa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_ab)
                  ELSE
                     n_gamma_ab_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_bb)
                  ELSE
                     n_gamma_ab_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_laplace_rhoa)
                  ELSE
                     n_gamma_ab_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_laplace_rhob)
                  ELSE
                     n_gamma_ab_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_tau_a)
                  ELSE
                     n_gamma_ab_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_tau_b)
                  ELSE
                     n_gamma_ab_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_gamma_bb)
                  ELSE
                     n_gamma_bb_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_laplace_rhoa)
                  ELSE
                     n_gamma_bb_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_laplace_rhob)
                  ELSE
                     n_gamma_bb_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_tau_a)
                  ELSE
                     n_gamma_bb_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_tau_b)
                  ELSE
                     n_gamma_bb_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_laplace_rhoa)
                  ELSE
                     n_laplace_rhoa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_laplace_rhob)
                  ELSE
                     n_laplace_rhoa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_tau_a)
                  ELSE
                     n_laplace_rhoa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_tau_b)
                  ELSE
                     n_laplace_rhoa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhob, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhob_laplace_rhob)
                  ELSE
                     n_laplace_rhob_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhob, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhob_tau_a)
                  ELSE
                     n_laplace_rhob_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhob, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhob_tau_b)
                  ELSE
                     n_laplace_rhob_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_tau_a, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_tau_a_tau_a)
                  ELSE
                     n_tau_a_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_tau_a, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_tau_a_tau_b)
                  ELSE
                     n_tau_a_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_tau_b, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_tau_b_tau_b)
                  ELSE
                     n_tau_b_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhoa, deriv_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhoa_rhoa)
                  ELSE
                     n_rhoa_rhoa_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhoa, deriv_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhoa_rhob)
                  ELSE
                     n_rhoa_rhoa_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhoa, deriv_gamma_aa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhoa_gamma_aa)
                  ELSE
                     n_rhoa_rhoa_gamma_aa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhoa, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhoa_gamma_ab)
                  ELSE
                     n_rhoa_rhoa_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhoa, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhoa_gamma_bb)
                  ELSE
                     n_rhoa_rhoa_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhoa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhoa_laplace_rhoa)
                  ELSE
                     n_rhoa_rhoa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhoa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhoa_laplace_rhob)
                  ELSE
                     n_rhoa_rhoa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhoa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhoa_tau_a)
                  ELSE
                     n_rhoa_rhoa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhoa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhoa_tau_b)
                  ELSE
                     n_rhoa_rhoa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhob, deriv_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhob_rhob)
                  ELSE
                     n_rhoa_rhob_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhob, deriv_gamma_aa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhob_gamma_aa)
                  ELSE
                     n_rhoa_rhob_gamma_aa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhob, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhob_gamma_ab)
                  ELSE
                     n_rhoa_rhob_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhob, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhob_gamma_bb)
                  ELSE
                     n_rhoa_rhob_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhob, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhob_laplace_rhoa)
                  ELSE
                     n_rhoa_rhob_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhob, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhob_laplace_rhob)
                  ELSE
                     n_rhoa_rhob_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhob, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhob_tau_a)
                  ELSE
                     n_rhoa_rhob_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhob, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_rhob_tau_b)
                  ELSE
                     n_rhoa_rhob_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_aa, deriv_gamma_aa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_aa_gamma_aa)
                  ELSE
                     n_rhoa_gamma_aa_gamma_aa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_aa, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_aa_gamma_ab)
                  ELSE
                     n_rhoa_gamma_aa_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_aa, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_aa_gamma_bb)
                  ELSE
                     n_rhoa_gamma_aa_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_aa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_aa_laplace_rhoa)
                  ELSE
                     n_rhoa_gamma_aa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_aa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_aa_laplace_rhob)
                  ELSE
                     n_rhoa_gamma_aa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_aa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_aa_tau_a)
                  ELSE
                     n_rhoa_gamma_aa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_aa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_aa_tau_b)
                  ELSE
                     n_rhoa_gamma_aa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_ab, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_ab_gamma_ab)
                  ELSE
                     n_rhoa_gamma_ab_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_ab, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_ab_gamma_bb)
                  ELSE
                     n_rhoa_gamma_ab_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_ab, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_ab_laplace_rhoa)
                  ELSE
                     n_rhoa_gamma_ab_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_ab, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_ab_laplace_rhob)
                  ELSE
                     n_rhoa_gamma_ab_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_ab, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_ab_tau_a)
                  ELSE
                     n_rhoa_gamma_ab_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_ab, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_ab_tau_b)
                  ELSE
                     n_rhoa_gamma_ab_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_bb, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_bb_gamma_bb)
                  ELSE
                     n_rhoa_gamma_bb_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_bb, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_bb_laplace_rhoa)
                  ELSE
                     n_rhoa_gamma_bb_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_bb, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_bb_laplace_rhob)
                  ELSE
                     n_rhoa_gamma_bb_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_bb, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_bb_tau_a)
                  ELSE
                     n_rhoa_gamma_bb_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_gamma_bb, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_gamma_bb_tau_b)
                  ELSE
                     n_rhoa_gamma_bb_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_laplace_rhoa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_laplace_rhoa_laplace_rhoa)
                  ELSE
                     n_rhoa_laplace_rhoa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_laplace_rhoa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_laplace_rhoa_laplace_rhob)
                  ELSE
                     n_rhoa_laplace_rhoa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_laplace_rhoa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_laplace_rhoa_tau_a)
                  ELSE
                     n_rhoa_laplace_rhoa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_laplace_rhoa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_laplace_rhoa_tau_b)
                  ELSE
                     n_rhoa_laplace_rhoa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_laplace_rhob, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_laplace_rhob_laplace_rhob)
                  ELSE
                     n_rhoa_laplace_rhob_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_laplace_rhob, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_laplace_rhob_tau_a)
                  ELSE
                     n_rhoa_laplace_rhob_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_laplace_rhob, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_laplace_rhob_tau_b)
                  ELSE
                     n_rhoa_laplace_rhob_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_tau_a, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_tau_a_tau_a)
                  ELSE
                     n_rhoa_tau_a_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_tau_a, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_tau_a_tau_b)
                  ELSE
                     n_rhoa_tau_a_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_tau_b, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhoa_tau_b_tau_b)
                  ELSE
                     n_rhoa_tau_b_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_rhob, deriv_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_rhob_rhob)
                  ELSE
                     n_rhob_rhob_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_rhob, deriv_gamma_aa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_rhob_gamma_aa)
                  ELSE
                     n_rhob_rhob_gamma_aa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_rhob, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_rhob_gamma_ab)
                  ELSE
                     n_rhob_rhob_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_rhob, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_rhob_gamma_bb)
                  ELSE
                     n_rhob_rhob_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_rhob, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_rhob_laplace_rhoa)
                  ELSE
                     n_rhob_rhob_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_rhob, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_rhob_laplace_rhob)
                  ELSE
                     n_rhob_rhob_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_rhob, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_rhob_tau_a)
                  ELSE
                     n_rhob_rhob_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_rhob, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_rhob_tau_b)
                  ELSE
                     n_rhob_rhob_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_aa, deriv_gamma_aa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_aa_gamma_aa)
                  ELSE
                     n_rhob_gamma_aa_gamma_aa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_aa, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_aa_gamma_ab)
                  ELSE
                     n_rhob_gamma_aa_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_aa, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_aa_gamma_bb)
                  ELSE
                     n_rhob_gamma_aa_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_aa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_aa_laplace_rhoa)
                  ELSE
                     n_rhob_gamma_aa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_aa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_aa_laplace_rhob)
                  ELSE
                     n_rhob_gamma_aa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_aa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_aa_tau_a)
                  ELSE
                     n_rhob_gamma_aa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_aa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_aa_tau_b)
                  ELSE
                     n_rhob_gamma_aa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_ab, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_ab_gamma_ab)
                  ELSE
                     n_rhob_gamma_ab_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_ab, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_ab_gamma_bb)
                  ELSE
                     n_rhob_gamma_ab_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_ab, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_ab_laplace_rhoa)
                  ELSE
                     n_rhob_gamma_ab_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_ab, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_ab_laplace_rhob)
                  ELSE
                     n_rhob_gamma_ab_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_ab, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_ab_tau_a)
                  ELSE
                     n_rhob_gamma_ab_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_ab, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_ab_tau_b)
                  ELSE
                     n_rhob_gamma_ab_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_bb, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_bb_gamma_bb)
                  ELSE
                     n_rhob_gamma_bb_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_bb, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_bb_laplace_rhoa)
                  ELSE
                     n_rhob_gamma_bb_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_bb, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_bb_laplace_rhob)
                  ELSE
                     n_rhob_gamma_bb_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_bb, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_bb_tau_a)
                  ELSE
                     n_rhob_gamma_bb_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_gamma_bb, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_gamma_bb_tau_b)
                  ELSE
                     n_rhob_gamma_bb_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_laplace_rhoa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_laplace_rhoa_laplace_rhoa)
                  ELSE
                     n_rhob_laplace_rhoa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_laplace_rhoa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_laplace_rhoa_laplace_rhob)
                  ELSE
                     n_rhob_laplace_rhoa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_laplace_rhoa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_laplace_rhoa_tau_a)
                  ELSE
                     n_rhob_laplace_rhoa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_laplace_rhoa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_laplace_rhoa_tau_b)
                  ELSE
                     n_rhob_laplace_rhoa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_laplace_rhob, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_laplace_rhob_laplace_rhob)
                  ELSE
                     n_rhob_laplace_rhob_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_laplace_rhob, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_laplace_rhob_tau_a)
                  ELSE
                     n_rhob_laplace_rhob_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_laplace_rhob, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_laplace_rhob_tau_b)
                  ELSE
                     n_rhob_laplace_rhob_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_tau_a, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_tau_a_tau_a)
                  ELSE
                     n_rhob_tau_a_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_tau_a, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_tau_a_tau_b)
                  ELSE
                     n_rhob_tau_a_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_tau_b, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_rhob_tau_b_tau_b)
                  ELSE
                     n_rhob_tau_b_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_aa, deriv_gamma_aa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_aa_gamma_aa)
                  ELSE
                     n_gamma_aa_gamma_aa_gamma_aa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_aa, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_aa_gamma_ab)
                  ELSE
                     n_gamma_aa_gamma_aa_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_aa, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_aa_gamma_bb)
                  ELSE
                     n_gamma_aa_gamma_aa_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_aa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_aa_laplace_rhoa)
                  ELSE
                     n_gamma_aa_gamma_aa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_aa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_aa_laplace_rhob)
                  ELSE
                     n_gamma_aa_gamma_aa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_aa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_aa_tau_a)
                  ELSE
                     n_gamma_aa_gamma_aa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_aa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_aa_tau_b)
                  ELSE
                     n_gamma_aa_gamma_aa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_ab, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_ab_gamma_ab)
                  ELSE
                     n_gamma_aa_gamma_ab_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_ab, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_ab_gamma_bb)
                  ELSE
                     n_gamma_aa_gamma_ab_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_ab, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_ab_laplace_rhoa)
                  ELSE
                     n_gamma_aa_gamma_ab_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_ab, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_ab_laplace_rhob)
                  ELSE
                     n_gamma_aa_gamma_ab_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_ab, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_ab_tau_a)
                  ELSE
                     n_gamma_aa_gamma_ab_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_ab, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_ab_tau_b)
                  ELSE
                     n_gamma_aa_gamma_ab_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_bb, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_bb_gamma_bb)
                  ELSE
                     n_gamma_aa_gamma_bb_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_bb, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_bb_laplace_rhoa)
                  ELSE
                     n_gamma_aa_gamma_bb_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_bb, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_bb_laplace_rhob)
                  ELSE
                     n_gamma_aa_gamma_bb_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_bb, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_bb_tau_a)
                  ELSE
                     n_gamma_aa_gamma_bb_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_gamma_bb, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_gamma_bb_tau_b)
                  ELSE
                     n_gamma_aa_gamma_bb_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_laplace_rhoa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_laplace_rhoa_laplace_rhoa)
                  ELSE
                     n_gamma_aa_laplace_rhoa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_laplace_rhoa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_laplace_rhoa_laplace_rhob)
                  ELSE
                     n_gamma_aa_laplace_rhoa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_laplace_rhoa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_laplace_rhoa_tau_a)
                  ELSE
                     n_gamma_aa_laplace_rhoa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_laplace_rhoa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_laplace_rhoa_tau_b)
                  ELSE
                     n_gamma_aa_laplace_rhoa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_laplace_rhob, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_laplace_rhob_laplace_rhob)
                  ELSE
                     n_gamma_aa_laplace_rhob_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_laplace_rhob, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_laplace_rhob_tau_a)
                  ELSE
                     n_gamma_aa_laplace_rhob_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_laplace_rhob, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_laplace_rhob_tau_b)
                  ELSE
                     n_gamma_aa_laplace_rhob_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_tau_a, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_tau_a_tau_a)
                  ELSE
                     n_gamma_aa_tau_a_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_tau_a, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_tau_a_tau_b)
                  ELSE
                     n_gamma_aa_tau_a_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_aa, deriv_tau_b, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_aa_tau_b_tau_b)
                  ELSE
                     n_gamma_aa_tau_b_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_ab, deriv_gamma_ab])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_ab_gamma_ab)
                  ELSE
                     n_gamma_ab_gamma_ab_gamma_ab => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_ab, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_ab_gamma_bb)
                  ELSE
                     n_gamma_ab_gamma_ab_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_ab, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_ab_laplace_rhoa)
                  ELSE
                     n_gamma_ab_gamma_ab_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_ab, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_ab_laplace_rhob)
                  ELSE
                     n_gamma_ab_gamma_ab_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_ab, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_ab_tau_a)
                  ELSE
                     n_gamma_ab_gamma_ab_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_ab, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_ab_tau_b)
                  ELSE
                     n_gamma_ab_gamma_ab_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_bb, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_bb_gamma_bb)
                  ELSE
                     n_gamma_ab_gamma_bb_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_bb, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_bb_laplace_rhoa)
                  ELSE
                     n_gamma_ab_gamma_bb_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_bb, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_bb_laplace_rhob)
                  ELSE
                     n_gamma_ab_gamma_bb_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_bb, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_bb_tau_a)
                  ELSE
                     n_gamma_ab_gamma_bb_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_gamma_bb, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_gamma_bb_tau_b)
                  ELSE
                     n_gamma_ab_gamma_bb_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_laplace_rhoa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_laplace_rhoa_laplace_rhoa)
                  ELSE
                     n_gamma_ab_laplace_rhoa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_laplace_rhoa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_laplace_rhoa_laplace_rhob)
                  ELSE
                     n_gamma_ab_laplace_rhoa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_laplace_rhoa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_laplace_rhoa_tau_a)
                  ELSE
                     n_gamma_ab_laplace_rhoa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_laplace_rhoa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_laplace_rhoa_tau_b)
                  ELSE
                     n_gamma_ab_laplace_rhoa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_laplace_rhob, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_laplace_rhob_laplace_rhob)
                  ELSE
                     n_gamma_ab_laplace_rhob_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_laplace_rhob, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_laplace_rhob_tau_a)
                  ELSE
                     n_gamma_ab_laplace_rhob_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_laplace_rhob, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_laplace_rhob_tau_b)
                  ELSE
                     n_gamma_ab_laplace_rhob_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_tau_a, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_tau_a_tau_a)
                  ELSE
                     n_gamma_ab_tau_a_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_tau_a, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_tau_a_tau_b)
                  ELSE
                     n_gamma_ab_tau_a_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_ab, deriv_tau_b, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_ab_tau_b_tau_b)
                  ELSE
                     n_gamma_ab_tau_b_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_gamma_bb, deriv_gamma_bb])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_gamma_bb_gamma_bb)
                  ELSE
                     n_gamma_bb_gamma_bb_gamma_bb => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_gamma_bb, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_gamma_bb_laplace_rhoa)
                  ELSE
                     n_gamma_bb_gamma_bb_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_gamma_bb, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_gamma_bb_laplace_rhob)
                  ELSE
                     n_gamma_bb_gamma_bb_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_gamma_bb, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_gamma_bb_tau_a)
                  ELSE
                     n_gamma_bb_gamma_bb_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_gamma_bb, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_gamma_bb_tau_b)
                  ELSE
                     n_gamma_bb_gamma_bb_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_laplace_rhoa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_laplace_rhoa_laplace_rhoa)
                  ELSE
                     n_gamma_bb_laplace_rhoa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_laplace_rhoa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_laplace_rhoa_laplace_rhob)
                  ELSE
                     n_gamma_bb_laplace_rhoa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_laplace_rhoa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_laplace_rhoa_tau_a)
                  ELSE
                     n_gamma_bb_laplace_rhoa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_laplace_rhoa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_laplace_rhoa_tau_b)
                  ELSE
                     n_gamma_bb_laplace_rhoa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_laplace_rhob, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_laplace_rhob_laplace_rhob)
                  ELSE
                     n_gamma_bb_laplace_rhob_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_laplace_rhob, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_laplace_rhob_tau_a)
                  ELSE
                     n_gamma_bb_laplace_rhob_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_laplace_rhob, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_laplace_rhob_tau_b)
                  ELSE
                     n_gamma_bb_laplace_rhob_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_tau_a, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_tau_a_tau_a)
                  ELSE
                     n_gamma_bb_tau_a_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_tau_a, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_tau_a_tau_b)
                  ELSE
                     n_gamma_bb_tau_a_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_gamma_bb, deriv_tau_b, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_gamma_bb_tau_b_tau_b)
                  ELSE
                     n_gamma_bb_tau_b_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_laplace_rhoa, deriv_laplace_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_laplace_rhoa_laplace_rhoa)
                  ELSE
                     n_laplace_rhoa_laplace_rhoa_laplace_rhoa => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_laplace_rhoa, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_laplace_rhoa_laplace_rhob)
                  ELSE
                     n_laplace_rhoa_laplace_rhoa_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_laplace_rhoa, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_laplace_rhoa_tau_a)
                  ELSE
                     n_laplace_rhoa_laplace_rhoa_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_laplace_rhoa, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_laplace_rhoa_tau_b)
                  ELSE
                     n_laplace_rhoa_laplace_rhoa_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_laplace_rhob, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_laplace_rhob_laplace_rhob)
                  ELSE
                     n_laplace_rhoa_laplace_rhob_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_laplace_rhob, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_laplace_rhob_tau_a)
                  ELSE
                     n_laplace_rhoa_laplace_rhob_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_laplace_rhob, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_laplace_rhob_tau_b)
                  ELSE
                     n_laplace_rhoa_laplace_rhob_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_tau_a, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_tau_a_tau_a)
                  ELSE
                     n_laplace_rhoa_tau_a_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_tau_a, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_tau_a_tau_b)
                  ELSE
                     n_laplace_rhoa_tau_a_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhoa, deriv_tau_b, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhoa_tau_b_tau_b)
                  ELSE
                     n_laplace_rhoa_tau_b_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhob, deriv_laplace_rhob, deriv_laplace_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhob_laplace_rhob_laplace_rhob)
                  ELSE
                     n_laplace_rhob_laplace_rhob_laplace_rhob => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhob, deriv_laplace_rhob, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhob_laplace_rhob_tau_a)
                  ELSE
                     n_laplace_rhob_laplace_rhob_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhob, deriv_laplace_rhob, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhob_laplace_rhob_tau_b)
                  ELSE
                     n_laplace_rhob_laplace_rhob_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhob, deriv_tau_a, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhob_tau_a_tau_a)
                  ELSE
                     n_laplace_rhob_tau_a_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhob, deriv_tau_a, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhob_tau_a_tau_b)
                  ELSE
                     n_laplace_rhob_tau_a_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_laplace_rhob, deriv_tau_b, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_laplace_rhob_tau_b_tau_b)
                  ELSE
                     n_laplace_rhob_tau_b_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_tau_a, deriv_tau_a, deriv_tau_a])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_tau_a_tau_a_tau_a)
                  ELSE
                     n_tau_a_tau_a_tau_a => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_tau_a, deriv_tau_a, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_tau_a_tau_a_tau_b)
                  ELSE
                     n_tau_a_tau_a_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_tau_a, deriv_tau_b, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_tau_a_tau_b_tau_b)
                  ELSE
                     n_tau_a_tau_b_tau_b => zero_f
                  END IF
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_tau_b, deriv_tau_b, deriv_tau_b])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=n_tau_b_tau_b_tau_b)
                  ELSE
                     n_tau_b_tau_b_tau_b => zero_f
                  END IF
                  IF (laplace_f) THEN
                     ALLOCATE (v_laplace(nspins))
                     DO ispin = 1, nspins
                        CALL allocate_pw(v_laplace(ispin), pw_pool, bo)
                     END DO
                  END IF
 
!$OMP             PARALLEL DO DEFAULT(NONE) COLLAPSE(3) &
!$OMP                         PRIVATE(k, j, i) &
!$OMP                         PRIVATE(mp_rhoa, q_rhoa) &
!$OMP                         PRIVATE(mp_rhob, q_rhob) &
!$OMP                         PRIVATE(mp_gamma_aa, q_gamma_aa) &
!$OMP                         PRIVATE(mp_gamma_ab, q_gamma_ab) &
!$OMP                         PRIVATE(mp_gamma_bb, q_gamma_bb) &
!$OMP                         PRIVATE(mp_laplace_rhoa, q_laplace_rhoa) &
!$OMP                         PRIVATE(mp_laplace_rhob, q_laplace_rhob) &
!$OMP                         PRIVATE(mp_tau_a, q_tau_a) &
!$OMP                         PRIVATE(mp_tau_b, q_tau_b) &
!$OMP                         PRIVATE(mpp_gamma_aa, nB_gamma_aa) &
!$OMP                         PRIVATE(mpp_gamma_ab, nB_gamma_ab) &
!$OMP                         PRIVATE(mpp_gamma_bb, nB_gamma_bb) &
!$OMP                         SHARED(n_rhoa_rhoa) &
!$OMP                         SHARED(n_rhoa_rhob) &
!$OMP                         SHARED(n_rhoa_gamma_aa) &
!$OMP                         SHARED(n_rhoa_gamma_ab) &
!$OMP                         SHARED(n_rhoa_gamma_bb) &
!$OMP                         SHARED(n_rhoa_laplace_rhoa) &
!$OMP                         SHARED(n_rhoa_laplace_rhob) &
!$OMP                         SHARED(n_rhoa_tau_a) &
!$OMP                         SHARED(n_rhoa_tau_b) &
!$OMP                         SHARED(n_rhob_rhob) &
!$OMP                         SHARED(n_rhob_gamma_aa) &
!$OMP                         SHARED(n_rhob_gamma_ab) &
!$OMP                         SHARED(n_rhob_gamma_bb) &
!$OMP                         SHARED(n_rhob_laplace_rhoa) &
!$OMP                         SHARED(n_rhob_laplace_rhob) &
!$OMP                         SHARED(n_rhob_tau_a) &
!$OMP                         SHARED(n_rhob_tau_b) &
!$OMP                         SHARED(n_gamma_aa_gamma_aa) &
!$OMP                         SHARED(n_gamma_aa_gamma_ab) &
!$OMP                         SHARED(n_gamma_aa_gamma_bb) &
!$OMP                         SHARED(n_gamma_aa_laplace_rhoa) &
!$OMP                         SHARED(n_gamma_aa_laplace_rhob) &
!$OMP                         SHARED(n_gamma_aa_tau_a) &
!$OMP                         SHARED(n_gamma_aa_tau_b) &
!$OMP                         SHARED(n_gamma_ab_gamma_ab) &
!$OMP                         SHARED(n_gamma_ab_gamma_bb) &
!$OMP                         SHARED(n_gamma_ab_laplace_rhoa) &
!$OMP                         SHARED(n_gamma_ab_laplace_rhob) &
!$OMP                         SHARED(n_gamma_ab_tau_a) &
!$OMP                         SHARED(n_gamma_ab_tau_b) &
!$OMP                         SHARED(n_gamma_bb_gamma_bb) &
!$OMP                         SHARED(n_gamma_bb_laplace_rhoa) &
!$OMP                         SHARED(n_gamma_bb_laplace_rhob) &
!$OMP                         SHARED(n_gamma_bb_tau_a) &
!$OMP                         SHARED(n_gamma_bb_tau_b) &
!$OMP                         SHARED(n_laplace_rhoa_laplace_rhoa) &
!$OMP                         SHARED(n_laplace_rhoa_laplace_rhob) &
!$OMP                         SHARED(n_laplace_rhoa_tau_a) &
!$OMP                         SHARED(n_laplace_rhoa_tau_b) &
!$OMP                         SHARED(n_laplace_rhob_laplace_rhob) &
!$OMP                         SHARED(n_laplace_rhob_tau_a) &
!$OMP                         SHARED(n_laplace_rhob_tau_b) &
!$OMP                         SHARED(n_tau_a_tau_a) &
!$OMP                         SHARED(n_tau_a_tau_b) &
!$OMP                         SHARED(n_tau_b_tau_b) &
!$OMP                         SHARED(n_rhoa_rhoa_rhoa) &
!$OMP                         SHARED(n_rhoa_rhoa_rhob) &
!$OMP                         SHARED(n_rhoa_rhoa_gamma_aa) &
!$OMP                         SHARED(n_rhoa_rhoa_gamma_ab) &
!$OMP                         SHARED(n_rhoa_rhoa_gamma_bb) &
!$OMP                         SHARED(n_rhoa_rhoa_laplace_rhoa) &
!$OMP                         SHARED(n_rhoa_rhoa_laplace_rhob) &
!$OMP                         SHARED(n_rhoa_rhoa_tau_a) &
!$OMP                         SHARED(n_rhoa_rhoa_tau_b) &
!$OMP                         SHARED(n_rhoa_rhob_rhob) &
!$OMP                         SHARED(n_rhoa_rhob_gamma_aa) &
!$OMP                         SHARED(n_rhoa_rhob_gamma_ab) &
!$OMP                         SHARED(n_rhoa_rhob_gamma_bb) &
!$OMP                         SHARED(n_rhoa_rhob_laplace_rhoa) &
!$OMP                         SHARED(n_rhoa_rhob_laplace_rhob) &
!$OMP                         SHARED(n_rhoa_rhob_tau_a) &
!$OMP                         SHARED(n_rhoa_rhob_tau_b) &
!$OMP                         SHARED(n_rhoa_gamma_aa_gamma_aa) &
!$OMP                         SHARED(n_rhoa_gamma_aa_gamma_ab) &
!$OMP                         SHARED(n_rhoa_gamma_aa_gamma_bb) &
!$OMP                         SHARED(n_rhoa_gamma_aa_laplace_rhoa) &
!$OMP                         SHARED(n_rhoa_gamma_aa_laplace_rhob) &
!$OMP                         SHARED(n_rhoa_gamma_aa_tau_a) &
!$OMP                         SHARED(n_rhoa_gamma_aa_tau_b) &
!$OMP                         SHARED(n_rhoa_gamma_ab_gamma_ab) &
!$OMP                         SHARED(n_rhoa_gamma_ab_gamma_bb) &
!$OMP                         SHARED(n_rhoa_gamma_ab_laplace_rhoa) &
!$OMP                         SHARED(n_rhoa_gamma_ab_laplace_rhob) &
!$OMP                         SHARED(n_rhoa_gamma_ab_tau_a) &
!$OMP                         SHARED(n_rhoa_gamma_ab_tau_b) &
!$OMP                         SHARED(n_rhoa_gamma_bb_gamma_bb) &
!$OMP                         SHARED(n_rhoa_gamma_bb_laplace_rhoa) &
!$OMP                         SHARED(n_rhoa_gamma_bb_laplace_rhob) &
!$OMP                         SHARED(n_rhoa_gamma_bb_tau_a) &
!$OMP                         SHARED(n_rhoa_gamma_bb_tau_b) &
!$OMP                         SHARED(n_rhoa_laplace_rhoa_laplace_rhoa) &
!$OMP                         SHARED(n_rhoa_laplace_rhoa_laplace_rhob) &
!$OMP                         SHARED(n_rhoa_laplace_rhoa_tau_a) &
!$OMP                         SHARED(n_rhoa_laplace_rhoa_tau_b) &
!$OMP                         SHARED(n_rhoa_laplace_rhob_laplace_rhob) &
!$OMP                         SHARED(n_rhoa_laplace_rhob_tau_a) &
!$OMP                         SHARED(n_rhoa_laplace_rhob_tau_b) &
!$OMP                         SHARED(n_rhoa_tau_a_tau_a) &
!$OMP                         SHARED(n_rhoa_tau_a_tau_b) &
!$OMP                         SHARED(n_rhoa_tau_b_tau_b) &
!$OMP                         SHARED(n_rhob_rhob_rhob) &
!$OMP                         SHARED(n_rhob_rhob_gamma_aa) &
!$OMP                         SHARED(n_rhob_rhob_gamma_ab) &
!$OMP                         SHARED(n_rhob_rhob_gamma_bb) &
!$OMP                         SHARED(n_rhob_rhob_laplace_rhoa) &
!$OMP                         SHARED(n_rhob_rhob_laplace_rhob) &
!$OMP                         SHARED(n_rhob_rhob_tau_a) &
!$OMP                         SHARED(n_rhob_rhob_tau_b) &
!$OMP                         SHARED(n_rhob_gamma_aa_gamma_aa) &
!$OMP                         SHARED(n_rhob_gamma_aa_gamma_ab) &
!$OMP                         SHARED(n_rhob_gamma_aa_gamma_bb) &
!$OMP                         SHARED(n_rhob_gamma_aa_laplace_rhoa) &
!$OMP                         SHARED(n_rhob_gamma_aa_laplace_rhob) &
!$OMP                         SHARED(n_rhob_gamma_aa_tau_a) &
!$OMP                         SHARED(n_rhob_gamma_aa_tau_b) &
!$OMP                         SHARED(n_rhob_gamma_ab_gamma_ab) &
!$OMP                         SHARED(n_rhob_gamma_ab_gamma_bb) &
!$OMP                         SHARED(n_rhob_gamma_ab_laplace_rhoa) &
!$OMP                         SHARED(n_rhob_gamma_ab_laplace_rhob) &
!$OMP                         SHARED(n_rhob_gamma_ab_tau_a) &
!$OMP                         SHARED(n_rhob_gamma_ab_tau_b) &
!$OMP                         SHARED(n_rhob_gamma_bb_gamma_bb) &
!$OMP                         SHARED(n_rhob_gamma_bb_laplace_rhoa) &
!$OMP                         SHARED(n_rhob_gamma_bb_laplace_rhob) &
!$OMP                         SHARED(n_rhob_gamma_bb_tau_a) &
!$OMP                         SHARED(n_rhob_gamma_bb_tau_b) &
!$OMP                         SHARED(n_rhob_laplace_rhoa_laplace_rhoa) &
!$OMP                         SHARED(n_rhob_laplace_rhoa_laplace_rhob) &
!$OMP                         SHARED(n_rhob_laplace_rhoa_tau_a) &
!$OMP                         SHARED(n_rhob_laplace_rhoa_tau_b) &
!$OMP                         SHARED(n_rhob_laplace_rhob_laplace_rhob) &
!$OMP                         SHARED(n_rhob_laplace_rhob_tau_a) &
!$OMP                         SHARED(n_rhob_laplace_rhob_tau_b) &
!$OMP                         SHARED(n_rhob_tau_a_tau_a) &
!$OMP                         SHARED(n_rhob_tau_a_tau_b) &
!$OMP                         SHARED(n_rhob_tau_b_tau_b) &
!$OMP                         SHARED(n_gamma_aa_gamma_aa_gamma_aa) &
!$OMP                         SHARED(n_gamma_aa_gamma_aa_gamma_ab) &
!$OMP                         SHARED(n_gamma_aa_gamma_aa_gamma_bb) &
!$OMP                         SHARED(n_gamma_aa_gamma_aa_laplace_rhoa) &
!$OMP                         SHARED(n_gamma_aa_gamma_aa_laplace_rhob) &
!$OMP                         SHARED(n_gamma_aa_gamma_aa_tau_a) &
!$OMP                         SHARED(n_gamma_aa_gamma_aa_tau_b) &
!$OMP                         SHARED(n_gamma_aa_gamma_ab_gamma_ab) &
!$OMP                         SHARED(n_gamma_aa_gamma_ab_gamma_bb) &
!$OMP                         SHARED(n_gamma_aa_gamma_ab_laplace_rhoa) &
!$OMP                         SHARED(n_gamma_aa_gamma_ab_laplace_rhob) &
!$OMP                         SHARED(n_gamma_aa_gamma_ab_tau_a) &
!$OMP                         SHARED(n_gamma_aa_gamma_ab_tau_b) &
!$OMP                         SHARED(n_gamma_aa_gamma_bb_gamma_bb) &
!$OMP                         SHARED(n_gamma_aa_gamma_bb_laplace_rhoa) &
!$OMP                         SHARED(n_gamma_aa_gamma_bb_laplace_rhob) &
!$OMP                         SHARED(n_gamma_aa_gamma_bb_tau_a) &
!$OMP                         SHARED(n_gamma_aa_gamma_bb_tau_b) &
!$OMP                         SHARED(n_gamma_aa_laplace_rhoa_laplace_rhoa) &
!$OMP                         SHARED(n_gamma_aa_laplace_rhoa_laplace_rhob) &
!$OMP                         SHARED(n_gamma_aa_laplace_rhoa_tau_a) &
!$OMP                         SHARED(n_gamma_aa_laplace_rhoa_tau_b) &
!$OMP                         SHARED(n_gamma_aa_laplace_rhob_laplace_rhob) &
!$OMP                         SHARED(n_gamma_aa_laplace_rhob_tau_a) &
!$OMP                         SHARED(n_gamma_aa_laplace_rhob_tau_b) &
!$OMP                         SHARED(n_gamma_aa_tau_a_tau_a) &
!$OMP                         SHARED(n_gamma_aa_tau_a_tau_b) &
!$OMP                         SHARED(n_gamma_aa_tau_b_tau_b) &
!$OMP                         SHARED(n_gamma_ab_gamma_ab_gamma_ab) &
!$OMP                         SHARED(n_gamma_ab_gamma_ab_gamma_bb) &
!$OMP                         SHARED(n_gamma_ab_gamma_ab_laplace_rhoa) &
!$OMP                         SHARED(n_gamma_ab_gamma_ab_laplace_rhob) &
!$OMP                         SHARED(n_gamma_ab_gamma_ab_tau_a) &
!$OMP                         SHARED(n_gamma_ab_gamma_ab_tau_b) &
!$OMP                         SHARED(n_gamma_ab_gamma_bb_gamma_bb) &
!$OMP                         SHARED(n_gamma_ab_gamma_bb_laplace_rhoa) &
!$OMP                         SHARED(n_gamma_ab_gamma_bb_laplace_rhob) &
!$OMP                         SHARED(n_gamma_ab_gamma_bb_tau_a) &
!$OMP                         SHARED(n_gamma_ab_gamma_bb_tau_b) &
!$OMP                         SHARED(n_gamma_ab_laplace_rhoa_laplace_rhoa) &
!$OMP                         SHARED(n_gamma_ab_laplace_rhoa_laplace_rhob) &
!$OMP                         SHARED(n_gamma_ab_laplace_rhoa_tau_a) &
!$OMP                         SHARED(n_gamma_ab_laplace_rhoa_tau_b) &
!$OMP                         SHARED(n_gamma_ab_laplace_rhob_laplace_rhob) &
!$OMP                         SHARED(n_gamma_ab_laplace_rhob_tau_a) &
!$OMP                         SHARED(n_gamma_ab_laplace_rhob_tau_b) &
!$OMP                         SHARED(n_gamma_ab_tau_a_tau_a) &
!$OMP                         SHARED(n_gamma_ab_tau_a_tau_b) &
!$OMP                         SHARED(n_gamma_ab_tau_b_tau_b) &
!$OMP                         SHARED(n_gamma_bb_gamma_bb_gamma_bb) &
!$OMP                         SHARED(n_gamma_bb_gamma_bb_laplace_rhoa) &
!$OMP                         SHARED(n_gamma_bb_gamma_bb_laplace_rhob) &
!$OMP                         SHARED(n_gamma_bb_gamma_bb_tau_a) &
!$OMP                         SHARED(n_gamma_bb_gamma_bb_tau_b) &
!$OMP                         SHARED(n_gamma_bb_laplace_rhoa_laplace_rhoa) &
!$OMP                         SHARED(n_gamma_bb_laplace_rhoa_laplace_rhob) &
!$OMP                         SHARED(n_gamma_bb_laplace_rhoa_tau_a) &
!$OMP                         SHARED(n_gamma_bb_laplace_rhoa_tau_b) &
!$OMP                         SHARED(n_gamma_bb_laplace_rhob_laplace_rhob) &
!$OMP                         SHARED(n_gamma_bb_laplace_rhob_tau_a) &
!$OMP                         SHARED(n_gamma_bb_laplace_rhob_tau_b) &
!$OMP                         SHARED(n_gamma_bb_tau_a_tau_a) &
!$OMP                         SHARED(n_gamma_bb_tau_a_tau_b) &
!$OMP                         SHARED(n_gamma_bb_tau_b_tau_b) &
!$OMP                         SHARED(n_laplace_rhoa_laplace_rhoa_laplace_rhoa) &
!$OMP                         SHARED(n_laplace_rhoa_laplace_rhoa_laplace_rhob) &
!$OMP                         SHARED(n_laplace_rhoa_laplace_rhoa_tau_a) &
!$OMP                         SHARED(n_laplace_rhoa_laplace_rhoa_tau_b) &
!$OMP                         SHARED(n_laplace_rhoa_laplace_rhob_laplace_rhob) &
!$OMP                         SHARED(n_laplace_rhoa_laplace_rhob_tau_a) &
!$OMP                         SHARED(n_laplace_rhoa_laplace_rhob_tau_b) &
!$OMP                         SHARED(n_laplace_rhoa_tau_a_tau_a) &
!$OMP                         SHARED(n_laplace_rhoa_tau_a_tau_b) &
!$OMP                         SHARED(n_laplace_rhoa_tau_b_tau_b) &
!$OMP                         SHARED(n_laplace_rhob_laplace_rhob_laplace_rhob) &
!$OMP                         SHARED(n_laplace_rhob_laplace_rhob_tau_a) &
!$OMP                         SHARED(n_laplace_rhob_laplace_rhob_tau_b) &
!$OMP                         SHARED(n_laplace_rhob_tau_a_tau_a) &
!$OMP                         SHARED(n_laplace_rhob_tau_a_tau_b) &
!$OMP                         SHARED(n_laplace_rhob_tau_b_tau_b) &
!$OMP                         SHARED(n_tau_a_tau_a_tau_a) &
!$OMP                         SHARED(n_tau_a_tau_a_tau_b) &
!$OMP                         SHARED(n_tau_a_tau_b_tau_b) &
!$OMP                         SHARED(n_tau_b_tau_b_tau_b) &
!$OMP                         SHARED(bo,rho1a,rho1b,gaa1,gab1,gbb1,gaa11,gab11,gbb11, &
!$OMP                                tau_f,tau1a,tau1b,laplace_f,laplace1a,laplace1b, &
!$OMP                                v_xc,v_xc_tau,v_laplace,v_drho_r,drhoa,drhob,drho1a,drho1b)
                  DO k = bo(1, 3), bo(2, 3)
                     DO j = bo(1, 2), bo(2, 2)
                        DO i = bo(1, 1), bo(2, 1)
                           mp_rhoa = rho1a(i, j, k)
                           mp_rhob = rho1b(i, j, k)
                           mp_gamma_aa = 2.0_dp*gaa1(i, j, k)
                           mp_gamma_ab = gab1(i, j, k)
                           mp_gamma_bb = 2.0_dp*gbb1(i, j, k)
                           mpp_gamma_aa = 2.0_dp*gaa11(i, j, k)
                           mpp_gamma_ab = 2.0_dp*gab11(i, j, k)
                           mpp_gamma_bb = 2.0_dp*gbb11(i, j, k)
                           mp_tau_a = 0.0_dp
                           mp_tau_b = 0.0_dp
                           IF (tau_f) mp_tau_a = tau1a(i, j, k)
                           IF (tau_f) mp_tau_b = tau1b(i, j, k)
                           mp_laplace_rhoa = 0.0_dp
                           mp_laplace_rhob = 0.0_dp
                           IF (laplace_f) mp_laplace_rhoa = laplace1a(i, j, k)
                           IF (laplace_f) mp_laplace_rhob = laplace1b(i, j, k)
 
                           q_rhoa = 0.0_dp
                           q_rhoa = q_rhoa + 1.0_dp* &
                              n_rhoa_rhoa_rhoa(i, j, k)*mp_rhoa*mp_rhoa
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhoa_rhob(i, j, k)*mp_rhoa*mp_rhob
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhoa_gamma_aa(i, j, k)*mp_rhoa*mp_gamma_aa
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhoa_gamma_ab(i, j, k)*mp_rhoa*mp_gamma_ab
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhoa_gamma_bb(i, j, k)*mp_rhoa*mp_gamma_bb
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhoa_laplace_rhoa(i, j, k)*mp_rhoa*mp_laplace_rhoa
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhoa_laplace_rhob(i, j, k)*mp_rhoa*mp_laplace_rhob
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhoa_tau_a(i, j, k)*mp_rhoa*mp_tau_a
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhoa_tau_b(i, j, k)*mp_rhoa*mp_tau_b
                           q_rhoa = q_rhoa + 1.0_dp* &
                              n_rhoa_rhob_rhob(i, j, k)*mp_rhob*mp_rhob
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhob_gamma_aa(i, j, k)*mp_rhob*mp_gamma_aa
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhob_gamma_ab(i, j, k)*mp_rhob*mp_gamma_ab
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhob_gamma_bb(i, j, k)*mp_rhob*mp_gamma_bb
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhob_laplace_rhoa(i, j, k)*mp_rhob*mp_laplace_rhoa
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhob_laplace_rhob(i, j, k)*mp_rhob*mp_laplace_rhob
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhob_tau_a(i, j, k)*mp_rhob*mp_tau_a
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_rhob_tau_b(i, j, k)*mp_rhob*mp_tau_b
                           q_rhoa = q_rhoa + 1.0_dp* &
                              n_rhoa_gamma_aa_gamma_aa(i, j, k)*mp_gamma_aa*mp_gamma_aa
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_aa_gamma_ab(i, j, k)*mp_gamma_aa*mp_gamma_ab
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_aa_gamma_bb(i, j, k)*mp_gamma_aa*mp_gamma_bb
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_aa_laplace_rhoa(i, j, k)*mp_gamma_aa*mp_laplace_rhoa
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_aa_laplace_rhob(i, j, k)*mp_gamma_aa*mp_laplace_rhob
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_aa_tau_a(i, j, k)*mp_gamma_aa*mp_tau_a
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_aa_tau_b(i, j, k)*mp_gamma_aa*mp_tau_b
                           q_rhoa = q_rhoa + 1.0_dp* &
                              n_rhoa_gamma_ab_gamma_ab(i, j, k)*mp_gamma_ab*mp_gamma_ab
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_ab_gamma_bb(i, j, k)*mp_gamma_ab*mp_gamma_bb
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_ab_laplace_rhoa(i, j, k)*mp_gamma_ab*mp_laplace_rhoa
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_ab_laplace_rhob(i, j, k)*mp_gamma_ab*mp_laplace_rhob
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_ab_tau_a(i, j, k)*mp_gamma_ab*mp_tau_a
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_ab_tau_b(i, j, k)*mp_gamma_ab*mp_tau_b
                           q_rhoa = q_rhoa + 1.0_dp* &
                              n_rhoa_gamma_bb_gamma_bb(i, j, k)*mp_gamma_bb*mp_gamma_bb
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_bb_laplace_rhoa(i, j, k)*mp_gamma_bb*mp_laplace_rhoa
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_bb_laplace_rhob(i, j, k)*mp_gamma_bb*mp_laplace_rhob
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_bb_tau_a(i, j, k)*mp_gamma_bb*mp_tau_a
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_gamma_bb_tau_b(i, j, k)*mp_gamma_bb*mp_tau_b
                           q_rhoa = q_rhoa + 1.0_dp* &
                              n_rhoa_laplace_rhoa_laplace_rhoa(i, j, k)*mp_laplace_rhoa*mp_laplace_rhoa
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_laplace_rhoa_laplace_rhob(i, j, k)*mp_laplace_rhoa*mp_laplace_rhob
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_laplace_rhoa_tau_a(i, j, k)*mp_laplace_rhoa*mp_tau_a
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_laplace_rhoa_tau_b(i, j, k)*mp_laplace_rhoa*mp_tau_b
                           q_rhoa = q_rhoa + 1.0_dp* &
                              n_rhoa_laplace_rhob_laplace_rhob(i, j, k)*mp_laplace_rhob*mp_laplace_rhob
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_laplace_rhob_tau_a(i, j, k)*mp_laplace_rhob*mp_tau_a
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_laplace_rhob_tau_b(i, j, k)*mp_laplace_rhob*mp_tau_b
                           q_rhoa = q_rhoa + 1.0_dp* &
                              n_rhoa_tau_a_tau_a(i, j, k)*mp_tau_a*mp_tau_a
                           q_rhoa = q_rhoa + 2.0_dp* &
                              n_rhoa_tau_a_tau_b(i, j, k)*mp_tau_a*mp_tau_b
                           q_rhoa = q_rhoa + 1.0_dp* &
                              n_rhoa_tau_b_tau_b(i, j, k)*mp_tau_b*mp_tau_b
                           q_rhoa = q_rhoa + n_rhoa_gamma_aa(i, j, k)*mpp_gamma_aa
                           q_rhoa = q_rhoa + n_rhoa_gamma_ab(i, j, k)*mpp_gamma_ab
                           q_rhoa = q_rhoa + n_rhoa_gamma_bb(i, j, k)*mpp_gamma_bb
                           q_rhob = 0.0_dp
                           q_rhob = q_rhob + 1.0_dp* &
                              n_rhoa_rhoa_rhob(i, j, k)*mp_rhoa*mp_rhoa
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhoa_rhob_rhob(i, j, k)*mp_rhoa*mp_rhob
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhoa_rhob_gamma_aa(i, j, k)*mp_rhoa*mp_gamma_aa
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhoa_rhob_gamma_ab(i, j, k)*mp_rhoa*mp_gamma_ab
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhoa_rhob_gamma_bb(i, j, k)*mp_rhoa*mp_gamma_bb
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhoa_rhob_laplace_rhoa(i, j, k)*mp_rhoa*mp_laplace_rhoa
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhoa_rhob_laplace_rhob(i, j, k)*mp_rhoa*mp_laplace_rhob
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhoa_rhob_tau_a(i, j, k)*mp_rhoa*mp_tau_a
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhoa_rhob_tau_b(i, j, k)*mp_rhoa*mp_tau_b
                           q_rhob = q_rhob + 1.0_dp* &
                              n_rhob_rhob_rhob(i, j, k)*mp_rhob*mp_rhob
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_rhob_gamma_aa(i, j, k)*mp_rhob*mp_gamma_aa
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_rhob_gamma_ab(i, j, k)*mp_rhob*mp_gamma_ab
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_rhob_gamma_bb(i, j, k)*mp_rhob*mp_gamma_bb
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_rhob_laplace_rhoa(i, j, k)*mp_rhob*mp_laplace_rhoa
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_rhob_laplace_rhob(i, j, k)*mp_rhob*mp_laplace_rhob
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_rhob_tau_a(i, j, k)*mp_rhob*mp_tau_a
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_rhob_tau_b(i, j, k)*mp_rhob*mp_tau_b
                           q_rhob = q_rhob + 1.0_dp* &
                              n_rhob_gamma_aa_gamma_aa(i, j, k)*mp_gamma_aa*mp_gamma_aa
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_aa_gamma_ab(i, j, k)*mp_gamma_aa*mp_gamma_ab
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_aa_gamma_bb(i, j, k)*mp_gamma_aa*mp_gamma_bb
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_aa_laplace_rhoa(i, j, k)*mp_gamma_aa*mp_laplace_rhoa
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_aa_laplace_rhob(i, j, k)*mp_gamma_aa*mp_laplace_rhob
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_aa_tau_a(i, j, k)*mp_gamma_aa*mp_tau_a
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_aa_tau_b(i, j, k)*mp_gamma_aa*mp_tau_b
                           q_rhob = q_rhob + 1.0_dp* &
                              n_rhob_gamma_ab_gamma_ab(i, j, k)*mp_gamma_ab*mp_gamma_ab
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_ab_gamma_bb(i, j, k)*mp_gamma_ab*mp_gamma_bb
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_ab_laplace_rhoa(i, j, k)*mp_gamma_ab*mp_laplace_rhoa
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_ab_laplace_rhob(i, j, k)*mp_gamma_ab*mp_laplace_rhob
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_ab_tau_a(i, j, k)*mp_gamma_ab*mp_tau_a
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_ab_tau_b(i, j, k)*mp_gamma_ab*mp_tau_b
                           q_rhob = q_rhob + 1.0_dp* &
                              n_rhob_gamma_bb_gamma_bb(i, j, k)*mp_gamma_bb*mp_gamma_bb
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_bb_laplace_rhoa(i, j, k)*mp_gamma_bb*mp_laplace_rhoa
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_bb_laplace_rhob(i, j, k)*mp_gamma_bb*mp_laplace_rhob
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_bb_tau_a(i, j, k)*mp_gamma_bb*mp_tau_a
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_gamma_bb_tau_b(i, j, k)*mp_gamma_bb*mp_tau_b
                           q_rhob = q_rhob + 1.0_dp* &
                              n_rhob_laplace_rhoa_laplace_rhoa(i, j, k)*mp_laplace_rhoa*mp_laplace_rhoa
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_laplace_rhoa_laplace_rhob(i, j, k)*mp_laplace_rhoa*mp_laplace_rhob
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_laplace_rhoa_tau_a(i, j, k)*mp_laplace_rhoa*mp_tau_a
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_laplace_rhoa_tau_b(i, j, k)*mp_laplace_rhoa*mp_tau_b
                           q_rhob = q_rhob + 1.0_dp* &
                              n_rhob_laplace_rhob_laplace_rhob(i, j, k)*mp_laplace_rhob*mp_laplace_rhob
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_laplace_rhob_tau_a(i, j, k)*mp_laplace_rhob*mp_tau_a
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_laplace_rhob_tau_b(i, j, k)*mp_laplace_rhob*mp_tau_b
                           q_rhob = q_rhob + 1.0_dp* &
                              n_rhob_tau_a_tau_a(i, j, k)*mp_tau_a*mp_tau_a
                           q_rhob = q_rhob + 2.0_dp* &
                              n_rhob_tau_a_tau_b(i, j, k)*mp_tau_a*mp_tau_b
                           q_rhob = q_rhob + 1.0_dp* &
                              n_rhob_tau_b_tau_b(i, j, k)*mp_tau_b*mp_tau_b
                           q_rhob = q_rhob + n_rhob_gamma_aa(i, j, k)*mpp_gamma_aa
                           q_rhob = q_rhob + n_rhob_gamma_ab(i, j, k)*mpp_gamma_ab
                           q_rhob = q_rhob + n_rhob_gamma_bb(i, j, k)*mpp_gamma_bb
                           q_gamma_aa = 0.0_dp
                           q_gamma_aa = q_gamma_aa + 1.0_dp* &
                              n_rhoa_rhoa_gamma_aa(i, j, k)*mp_rhoa*mp_rhoa
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhoa_rhob_gamma_aa(i, j, k)*mp_rhoa*mp_rhob
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhoa_gamma_aa_gamma_aa(i, j, k)*mp_rhoa*mp_gamma_aa
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhoa_gamma_aa_gamma_ab(i, j, k)*mp_rhoa*mp_gamma_ab
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhoa_gamma_aa_gamma_bb(i, j, k)*mp_rhoa*mp_gamma_bb
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhoa_gamma_aa_laplace_rhoa(i, j, k)*mp_rhoa*mp_laplace_rhoa
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhoa_gamma_aa_laplace_rhob(i, j, k)*mp_rhoa*mp_laplace_rhob
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhoa_gamma_aa_tau_a(i, j, k)*mp_rhoa*mp_tau_a
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhoa_gamma_aa_tau_b(i, j, k)*mp_rhoa*mp_tau_b
                           q_gamma_aa = q_gamma_aa + 1.0_dp* &
                              n_rhob_rhob_gamma_aa(i, j, k)*mp_rhob*mp_rhob
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhob_gamma_aa_gamma_aa(i, j, k)*mp_rhob*mp_gamma_aa
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhob_gamma_aa_gamma_ab(i, j, k)*mp_rhob*mp_gamma_ab
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhob_gamma_aa_gamma_bb(i, j, k)*mp_rhob*mp_gamma_bb
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhob_gamma_aa_laplace_rhoa(i, j, k)*mp_rhob*mp_laplace_rhoa
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhob_gamma_aa_laplace_rhob(i, j, k)*mp_rhob*mp_laplace_rhob
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhob_gamma_aa_tau_a(i, j, k)*mp_rhob*mp_tau_a
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_rhob_gamma_aa_tau_b(i, j, k)*mp_rhob*mp_tau_b
                           q_gamma_aa = q_gamma_aa + 1.0_dp* &
                              n_gamma_aa_gamma_aa_gamma_aa(i, j, k)*mp_gamma_aa*mp_gamma_aa
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_aa_gamma_ab(i, j, k)*mp_gamma_aa*mp_gamma_ab
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_aa_gamma_bb(i, j, k)*mp_gamma_aa*mp_gamma_bb
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_aa_laplace_rhoa(i, j, k)*mp_gamma_aa*mp_laplace_rhoa
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_aa_laplace_rhob(i, j, k)*mp_gamma_aa*mp_laplace_rhob
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_aa_tau_a(i, j, k)*mp_gamma_aa*mp_tau_a
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_aa_tau_b(i, j, k)*mp_gamma_aa*mp_tau_b
                           q_gamma_aa = q_gamma_aa + 1.0_dp* &
                              n_gamma_aa_gamma_ab_gamma_ab(i, j, k)*mp_gamma_ab*mp_gamma_ab
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_ab_gamma_bb(i, j, k)*mp_gamma_ab*mp_gamma_bb
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_ab_laplace_rhoa(i, j, k)*mp_gamma_ab*mp_laplace_rhoa
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_ab_laplace_rhob(i, j, k)*mp_gamma_ab*mp_laplace_rhob
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_ab_tau_a(i, j, k)*mp_gamma_ab*mp_tau_a
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_ab_tau_b(i, j, k)*mp_gamma_ab*mp_tau_b
                           q_gamma_aa = q_gamma_aa + 1.0_dp* &
                              n_gamma_aa_gamma_bb_gamma_bb(i, j, k)*mp_gamma_bb*mp_gamma_bb
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_bb_laplace_rhoa(i, j, k)*mp_gamma_bb*mp_laplace_rhoa
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_bb_laplace_rhob(i, j, k)*mp_gamma_bb*mp_laplace_rhob
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_bb_tau_a(i, j, k)*mp_gamma_bb*mp_tau_a
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_gamma_bb_tau_b(i, j, k)*mp_gamma_bb*mp_tau_b
                           q_gamma_aa = q_gamma_aa + 1.0_dp* &
                              n_gamma_aa_laplace_rhoa_laplace_rhoa(i, j, k)*mp_laplace_rhoa*mp_laplace_rhoa
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_laplace_rhoa_laplace_rhob(i, j, k)*mp_laplace_rhoa*mp_laplace_rhob
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_laplace_rhoa_tau_a(i, j, k)*mp_laplace_rhoa*mp_tau_a
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_laplace_rhoa_tau_b(i, j, k)*mp_laplace_rhoa*mp_tau_b
                           q_gamma_aa = q_gamma_aa + 1.0_dp* &
                              n_gamma_aa_laplace_rhob_laplace_rhob(i, j, k)*mp_laplace_rhob*mp_laplace_rhob
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_laplace_rhob_tau_a(i, j, k)*mp_laplace_rhob*mp_tau_a
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_laplace_rhob_tau_b(i, j, k)*mp_laplace_rhob*mp_tau_b
                           q_gamma_aa = q_gamma_aa + 1.0_dp* &
                              n_gamma_aa_tau_a_tau_a(i, j, k)*mp_tau_a*mp_tau_a
                           q_gamma_aa = q_gamma_aa + 2.0_dp* &
                              n_gamma_aa_tau_a_tau_b(i, j, k)*mp_tau_a*mp_tau_b
                           q_gamma_aa = q_gamma_aa + 1.0_dp* &
                              n_gamma_aa_tau_b_tau_b(i, j, k)*mp_tau_b*mp_tau_b
                           q_gamma_aa = q_gamma_aa + n_gamma_aa_gamma_aa(i, j, k)*mpp_gamma_aa
                           q_gamma_aa = q_gamma_aa + n_gamma_aa_gamma_ab(i, j, k)*mpp_gamma_ab
                           q_gamma_aa = q_gamma_aa + n_gamma_aa_gamma_bb(i, j, k)*mpp_gamma_bb
                           q_gamma_ab = 0.0_dp
                           q_gamma_ab = q_gamma_ab + 1.0_dp* &
                              n_rhoa_rhoa_gamma_ab(i, j, k)*mp_rhoa*mp_rhoa
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhoa_rhob_gamma_ab(i, j, k)*mp_rhoa*mp_rhob
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhoa_gamma_aa_gamma_ab(i, j, k)*mp_rhoa*mp_gamma_aa
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhoa_gamma_ab_gamma_ab(i, j, k)*mp_rhoa*mp_gamma_ab
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhoa_gamma_ab_gamma_bb(i, j, k)*mp_rhoa*mp_gamma_bb
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhoa_gamma_ab_laplace_rhoa(i, j, k)*mp_rhoa*mp_laplace_rhoa
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhoa_gamma_ab_laplace_rhob(i, j, k)*mp_rhoa*mp_laplace_rhob
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhoa_gamma_ab_tau_a(i, j, k)*mp_rhoa*mp_tau_a
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhoa_gamma_ab_tau_b(i, j, k)*mp_rhoa*mp_tau_b
                           q_gamma_ab = q_gamma_ab + 1.0_dp* &
                              n_rhob_rhob_gamma_ab(i, j, k)*mp_rhob*mp_rhob
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhob_gamma_aa_gamma_ab(i, j, k)*mp_rhob*mp_gamma_aa
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhob_gamma_ab_gamma_ab(i, j, k)*mp_rhob*mp_gamma_ab
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhob_gamma_ab_gamma_bb(i, j, k)*mp_rhob*mp_gamma_bb
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhob_gamma_ab_laplace_rhoa(i, j, k)*mp_rhob*mp_laplace_rhoa
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhob_gamma_ab_laplace_rhob(i, j, k)*mp_rhob*mp_laplace_rhob
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhob_gamma_ab_tau_a(i, j, k)*mp_rhob*mp_tau_a
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_rhob_gamma_ab_tau_b(i, j, k)*mp_rhob*mp_tau_b
                           q_gamma_ab = q_gamma_ab + 1.0_dp* &
                              n_gamma_aa_gamma_aa_gamma_ab(i, j, k)*mp_gamma_aa*mp_gamma_aa
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_aa_gamma_ab_gamma_ab(i, j, k)*mp_gamma_aa*mp_gamma_ab
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_aa_gamma_ab_gamma_bb(i, j, k)*mp_gamma_aa*mp_gamma_bb
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_aa_gamma_ab_laplace_rhoa(i, j, k)*mp_gamma_aa*mp_laplace_rhoa
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_aa_gamma_ab_laplace_rhob(i, j, k)*mp_gamma_aa*mp_laplace_rhob
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_aa_gamma_ab_tau_a(i, j, k)*mp_gamma_aa*mp_tau_a
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_aa_gamma_ab_tau_b(i, j, k)*mp_gamma_aa*mp_tau_b
                           q_gamma_ab = q_gamma_ab + 1.0_dp* &
                              n_gamma_ab_gamma_ab_gamma_ab(i, j, k)*mp_gamma_ab*mp_gamma_ab
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_gamma_ab_gamma_bb(i, j, k)*mp_gamma_ab*mp_gamma_bb
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_gamma_ab_laplace_rhoa(i, j, k)*mp_gamma_ab*mp_laplace_rhoa
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_gamma_ab_laplace_rhob(i, j, k)*mp_gamma_ab*mp_laplace_rhob
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_gamma_ab_tau_a(i, j, k)*mp_gamma_ab*mp_tau_a
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_gamma_ab_tau_b(i, j, k)*mp_gamma_ab*mp_tau_b
                           q_gamma_ab = q_gamma_ab + 1.0_dp* &
                              n_gamma_ab_gamma_bb_gamma_bb(i, j, k)*mp_gamma_bb*mp_gamma_bb
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_gamma_bb_laplace_rhoa(i, j, k)*mp_gamma_bb*mp_laplace_rhoa
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_gamma_bb_laplace_rhob(i, j, k)*mp_gamma_bb*mp_laplace_rhob
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_gamma_bb_tau_a(i, j, k)*mp_gamma_bb*mp_tau_a
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_gamma_bb_tau_b(i, j, k)*mp_gamma_bb*mp_tau_b
                           q_gamma_ab = q_gamma_ab + 1.0_dp* &
                              n_gamma_ab_laplace_rhoa_laplace_rhoa(i, j, k)*mp_laplace_rhoa*mp_laplace_rhoa
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_laplace_rhoa_laplace_rhob(i, j, k)*mp_laplace_rhoa*mp_laplace_rhob
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_laplace_rhoa_tau_a(i, j, k)*mp_laplace_rhoa*mp_tau_a
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_laplace_rhoa_tau_b(i, j, k)*mp_laplace_rhoa*mp_tau_b
                           q_gamma_ab = q_gamma_ab + 1.0_dp* &
                              n_gamma_ab_laplace_rhob_laplace_rhob(i, j, k)*mp_laplace_rhob*mp_laplace_rhob
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_laplace_rhob_tau_a(i, j, k)*mp_laplace_rhob*mp_tau_a
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_laplace_rhob_tau_b(i, j, k)*mp_laplace_rhob*mp_tau_b
                           q_gamma_ab = q_gamma_ab + 1.0_dp* &
                              n_gamma_ab_tau_a_tau_a(i, j, k)*mp_tau_a*mp_tau_a
                           q_gamma_ab = q_gamma_ab + 2.0_dp* &
                              n_gamma_ab_tau_a_tau_b(i, j, k)*mp_tau_a*mp_tau_b
                           q_gamma_ab = q_gamma_ab + 1.0_dp* &
                              n_gamma_ab_tau_b_tau_b(i, j, k)*mp_tau_b*mp_tau_b
                           q_gamma_ab = q_gamma_ab + n_gamma_aa_gamma_ab(i, j, k)*mpp_gamma_aa
                           q_gamma_ab = q_gamma_ab + n_gamma_ab_gamma_ab(i, j, k)*mpp_gamma_ab
                           q_gamma_ab = q_gamma_ab + n_gamma_ab_gamma_bb(i, j, k)*mpp_gamma_bb
                           q_gamma_bb = 0.0_dp
                           q_gamma_bb = q_gamma_bb + 1.0_dp* &
                              n_rhoa_rhoa_gamma_bb(i, j, k)*mp_rhoa*mp_rhoa
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhoa_rhob_gamma_bb(i, j, k)*mp_rhoa*mp_rhob
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhoa_gamma_aa_gamma_bb(i, j, k)*mp_rhoa*mp_gamma_aa
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhoa_gamma_ab_gamma_bb(i, j, k)*mp_rhoa*mp_gamma_ab
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhoa_gamma_bb_gamma_bb(i, j, k)*mp_rhoa*mp_gamma_bb
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhoa_gamma_bb_laplace_rhoa(i, j, k)*mp_rhoa*mp_laplace_rhoa
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhoa_gamma_bb_laplace_rhob(i, j, k)*mp_rhoa*mp_laplace_rhob
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhoa_gamma_bb_tau_a(i, j, k)*mp_rhoa*mp_tau_a
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhoa_gamma_bb_tau_b(i, j, k)*mp_rhoa*mp_tau_b
                           q_gamma_bb = q_gamma_bb + 1.0_dp* &
                              n_rhob_rhob_gamma_bb(i, j, k)*mp_rhob*mp_rhob
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhob_gamma_aa_gamma_bb(i, j, k)*mp_rhob*mp_gamma_aa
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhob_gamma_ab_gamma_bb(i, j, k)*mp_rhob*mp_gamma_ab
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhob_gamma_bb_gamma_bb(i, j, k)*mp_rhob*mp_gamma_bb
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhob_gamma_bb_laplace_rhoa(i, j, k)*mp_rhob*mp_laplace_rhoa
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhob_gamma_bb_laplace_rhob(i, j, k)*mp_rhob*mp_laplace_rhob
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhob_gamma_bb_tau_a(i, j, k)*mp_rhob*mp_tau_a
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_rhob_gamma_bb_tau_b(i, j, k)*mp_rhob*mp_tau_b
                           q_gamma_bb = q_gamma_bb + 1.0_dp* &
                              n_gamma_aa_gamma_aa_gamma_bb(i, j, k)*mp_gamma_aa*mp_gamma_aa
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_aa_gamma_ab_gamma_bb(i, j, k)*mp_gamma_aa*mp_gamma_ab
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_aa_gamma_bb_gamma_bb(i, j, k)*mp_gamma_aa*mp_gamma_bb
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_aa_gamma_bb_laplace_rhoa(i, j, k)*mp_gamma_aa*mp_laplace_rhoa
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_aa_gamma_bb_laplace_rhob(i, j, k)*mp_gamma_aa*mp_laplace_rhob
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_aa_gamma_bb_tau_a(i, j, k)*mp_gamma_aa*mp_tau_a
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_aa_gamma_bb_tau_b(i, j, k)*mp_gamma_aa*mp_tau_b
                           q_gamma_bb = q_gamma_bb + 1.0_dp* &
                              n_gamma_ab_gamma_ab_gamma_bb(i, j, k)*mp_gamma_ab*mp_gamma_ab
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_ab_gamma_bb_gamma_bb(i, j, k)*mp_gamma_ab*mp_gamma_bb
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_ab_gamma_bb_laplace_rhoa(i, j, k)*mp_gamma_ab*mp_laplace_rhoa
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_ab_gamma_bb_laplace_rhob(i, j, k)*mp_gamma_ab*mp_laplace_rhob
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_ab_gamma_bb_tau_a(i, j, k)*mp_gamma_ab*mp_tau_a
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_ab_gamma_bb_tau_b(i, j, k)*mp_gamma_ab*mp_tau_b
                           q_gamma_bb = q_gamma_bb + 1.0_dp* &
                              n_gamma_bb_gamma_bb_gamma_bb(i, j, k)*mp_gamma_bb*mp_gamma_bb
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_bb_gamma_bb_laplace_rhoa(i, j, k)*mp_gamma_bb*mp_laplace_rhoa
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_bb_gamma_bb_laplace_rhob(i, j, k)*mp_gamma_bb*mp_laplace_rhob
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_bb_gamma_bb_tau_a(i, j, k)*mp_gamma_bb*mp_tau_a
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_bb_gamma_bb_tau_b(i, j, k)*mp_gamma_bb*mp_tau_b
                           q_gamma_bb = q_gamma_bb + 1.0_dp* &
                              n_gamma_bb_laplace_rhoa_laplace_rhoa(i, j, k)*mp_laplace_rhoa*mp_laplace_rhoa
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_bb_laplace_rhoa_laplace_rhob(i, j, k)*mp_laplace_rhoa*mp_laplace_rhob
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_bb_laplace_rhoa_tau_a(i, j, k)*mp_laplace_rhoa*mp_tau_a
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_bb_laplace_rhoa_tau_b(i, j, k)*mp_laplace_rhoa*mp_tau_b
                           q_gamma_bb = q_gamma_bb + 1.0_dp* &
                              n_gamma_bb_laplace_rhob_laplace_rhob(i, j, k)*mp_laplace_rhob*mp_laplace_rhob
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_bb_laplace_rhob_tau_a(i, j, k)*mp_laplace_rhob*mp_tau_a
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_bb_laplace_rhob_tau_b(i, j, k)*mp_laplace_rhob*mp_tau_b
                           q_gamma_bb = q_gamma_bb + 1.0_dp* &
                              n_gamma_bb_tau_a_tau_a(i, j, k)*mp_tau_a*mp_tau_a
                           q_gamma_bb = q_gamma_bb + 2.0_dp* &
                              n_gamma_bb_tau_a_tau_b(i, j, k)*mp_tau_a*mp_tau_b
                           q_gamma_bb = q_gamma_bb + 1.0_dp* &
                              n_gamma_bb_tau_b_tau_b(i, j, k)*mp_tau_b*mp_tau_b
                           q_gamma_bb = q_gamma_bb + n_gamma_aa_gamma_bb(i, j, k)*mpp_gamma_aa
                           q_gamma_bb = q_gamma_bb + n_gamma_ab_gamma_bb(i, j, k)*mpp_gamma_ab
                           q_gamma_bb = q_gamma_bb + n_gamma_bb_gamma_bb(i, j, k)*mpp_gamma_bb
                           q_laplace_rhoa = 0.0_dp
                           q_laplace_rhoa = q_laplace_rhoa + 1.0_dp* &
                              n_rhoa_rhoa_laplace_rhoa(i, j, k)*mp_rhoa*mp_rhoa
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhoa_rhob_laplace_rhoa(i, j, k)*mp_rhoa*mp_rhob
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhoa_gamma_aa_laplace_rhoa(i, j, k)*mp_rhoa*mp_gamma_aa
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhoa_gamma_ab_laplace_rhoa(i, j, k)*mp_rhoa*mp_gamma_ab
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhoa_gamma_bb_laplace_rhoa(i, j, k)*mp_rhoa*mp_gamma_bb
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhoa_laplace_rhoa_laplace_rhoa(i, j, k)*mp_rhoa*mp_laplace_rhoa
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhoa_laplace_rhoa_laplace_rhob(i, j, k)*mp_rhoa*mp_laplace_rhob
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhoa_laplace_rhoa_tau_a(i, j, k)*mp_rhoa*mp_tau_a
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhoa_laplace_rhoa_tau_b(i, j, k)*mp_rhoa*mp_tau_b
                           q_laplace_rhoa = q_laplace_rhoa + 1.0_dp* &
                              n_rhob_rhob_laplace_rhoa(i, j, k)*mp_rhob*mp_rhob
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhob_gamma_aa_laplace_rhoa(i, j, k)*mp_rhob*mp_gamma_aa
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhob_gamma_ab_laplace_rhoa(i, j, k)*mp_rhob*mp_gamma_ab
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhob_gamma_bb_laplace_rhoa(i, j, k)*mp_rhob*mp_gamma_bb
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhob_laplace_rhoa_laplace_rhoa(i, j, k)*mp_rhob*mp_laplace_rhoa
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhob_laplace_rhoa_laplace_rhob(i, j, k)*mp_rhob*mp_laplace_rhob
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhob_laplace_rhoa_tau_a(i, j, k)*mp_rhob*mp_tau_a
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_rhob_laplace_rhoa_tau_b(i, j, k)*mp_rhob*mp_tau_b
                           q_laplace_rhoa = q_laplace_rhoa + 1.0_dp* &
                              n_gamma_aa_gamma_aa_laplace_rhoa(i, j, k)*mp_gamma_aa*mp_gamma_aa
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_aa_gamma_ab_laplace_rhoa(i, j, k)*mp_gamma_aa*mp_gamma_ab
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_aa_gamma_bb_laplace_rhoa(i, j, k)*mp_gamma_aa*mp_gamma_bb
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_aa_laplace_rhoa_laplace_rhoa(i, j, k)*mp_gamma_aa*mp_laplace_rhoa
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_aa_laplace_rhoa_laplace_rhob(i, j, k)*mp_gamma_aa*mp_laplace_rhob
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_aa_laplace_rhoa_tau_a(i, j, k)*mp_gamma_aa*mp_tau_a
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_aa_laplace_rhoa_tau_b(i, j, k)*mp_gamma_aa*mp_tau_b
                           q_laplace_rhoa = q_laplace_rhoa + 1.0_dp* &
                              n_gamma_ab_gamma_ab_laplace_rhoa(i, j, k)*mp_gamma_ab*mp_gamma_ab
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_ab_gamma_bb_laplace_rhoa(i, j, k)*mp_gamma_ab*mp_gamma_bb
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_ab_laplace_rhoa_laplace_rhoa(i, j, k)*mp_gamma_ab*mp_laplace_rhoa
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_ab_laplace_rhoa_laplace_rhob(i, j, k)*mp_gamma_ab*mp_laplace_rhob
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_ab_laplace_rhoa_tau_a(i, j, k)*mp_gamma_ab*mp_tau_a
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_ab_laplace_rhoa_tau_b(i, j, k)*mp_gamma_ab*mp_tau_b
                           q_laplace_rhoa = q_laplace_rhoa + 1.0_dp* &
                              n_gamma_bb_gamma_bb_laplace_rhoa(i, j, k)*mp_gamma_bb*mp_gamma_bb
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_bb_laplace_rhoa_laplace_rhoa(i, j, k)*mp_gamma_bb*mp_laplace_rhoa
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_bb_laplace_rhoa_laplace_rhob(i, j, k)*mp_gamma_bb*mp_laplace_rhob
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_bb_laplace_rhoa_tau_a(i, j, k)*mp_gamma_bb*mp_tau_a
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_gamma_bb_laplace_rhoa_tau_b(i, j, k)*mp_gamma_bb*mp_tau_b
                           q_laplace_rhoa = q_laplace_rhoa + 1.0_dp* &
                              n_laplace_rhoa_laplace_rhoa_laplace_rhoa(i, j, k)*mp_laplace_rhoa*mp_laplace_rhoa
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_laplace_rhoa_laplace_rhoa_laplace_rhob(i, j, k)*mp_laplace_rhoa*mp_laplace_rhob
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_laplace_rhoa_laplace_rhoa_tau_a(i, j, k)*mp_laplace_rhoa*mp_tau_a
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_laplace_rhoa_laplace_rhoa_tau_b(i, j, k)*mp_laplace_rhoa*mp_tau_b
                           q_laplace_rhoa = q_laplace_rhoa + 1.0_dp* &
                              n_laplace_rhoa_laplace_rhob_laplace_rhob(i, j, k)*mp_laplace_rhob*mp_laplace_rhob
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_laplace_rhoa_laplace_rhob_tau_a(i, j, k)*mp_laplace_rhob*mp_tau_a
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_laplace_rhoa_laplace_rhob_tau_b(i, j, k)*mp_laplace_rhob*mp_tau_b
                           q_laplace_rhoa = q_laplace_rhoa + 1.0_dp* &
                              n_laplace_rhoa_tau_a_tau_a(i, j, k)*mp_tau_a*mp_tau_a
                           q_laplace_rhoa = q_laplace_rhoa + 2.0_dp* &
                              n_laplace_rhoa_tau_a_tau_b(i, j, k)*mp_tau_a*mp_tau_b
                           q_laplace_rhoa = q_laplace_rhoa + 1.0_dp* &
                              n_laplace_rhoa_tau_b_tau_b(i, j, k)*mp_tau_b*mp_tau_b
                           q_laplace_rhoa = q_laplace_rhoa + n_gamma_aa_laplace_rhoa(i, j, k)*mpp_gamma_aa
                           q_laplace_rhoa = q_laplace_rhoa + n_gamma_ab_laplace_rhoa(i, j, k)*mpp_gamma_ab
                           q_laplace_rhoa = q_laplace_rhoa + n_gamma_bb_laplace_rhoa(i, j, k)*mpp_gamma_bb
                           q_laplace_rhob = 0.0_dp
                           q_laplace_rhob = q_laplace_rhob + 1.0_dp* &
                              n_rhoa_rhoa_laplace_rhob(i, j, k)*mp_rhoa*mp_rhoa
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhoa_rhob_laplace_rhob(i, j, k)*mp_rhoa*mp_rhob
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhoa_gamma_aa_laplace_rhob(i, j, k)*mp_rhoa*mp_gamma_aa
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhoa_gamma_ab_laplace_rhob(i, j, k)*mp_rhoa*mp_gamma_ab
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhoa_gamma_bb_laplace_rhob(i, j, k)*mp_rhoa*mp_gamma_bb
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhoa_laplace_rhoa_laplace_rhob(i, j, k)*mp_rhoa*mp_laplace_rhoa
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhoa_laplace_rhob_laplace_rhob(i, j, k)*mp_rhoa*mp_laplace_rhob
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhoa_laplace_rhob_tau_a(i, j, k)*mp_rhoa*mp_tau_a
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhoa_laplace_rhob_tau_b(i, j, k)*mp_rhoa*mp_tau_b
                           q_laplace_rhob = q_laplace_rhob + 1.0_dp* &
                              n_rhob_rhob_laplace_rhob(i, j, k)*mp_rhob*mp_rhob
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhob_gamma_aa_laplace_rhob(i, j, k)*mp_rhob*mp_gamma_aa
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhob_gamma_ab_laplace_rhob(i, j, k)*mp_rhob*mp_gamma_ab
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhob_gamma_bb_laplace_rhob(i, j, k)*mp_rhob*mp_gamma_bb
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhob_laplace_rhoa_laplace_rhob(i, j, k)*mp_rhob*mp_laplace_rhoa
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhob_laplace_rhob_laplace_rhob(i, j, k)*mp_rhob*mp_laplace_rhob
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhob_laplace_rhob_tau_a(i, j, k)*mp_rhob*mp_tau_a
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_rhob_laplace_rhob_tau_b(i, j, k)*mp_rhob*mp_tau_b
                           q_laplace_rhob = q_laplace_rhob + 1.0_dp* &
                              n_gamma_aa_gamma_aa_laplace_rhob(i, j, k)*mp_gamma_aa*mp_gamma_aa
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_aa_gamma_ab_laplace_rhob(i, j, k)*mp_gamma_aa*mp_gamma_ab
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_aa_gamma_bb_laplace_rhob(i, j, k)*mp_gamma_aa*mp_gamma_bb
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_aa_laplace_rhoa_laplace_rhob(i, j, k)*mp_gamma_aa*mp_laplace_rhoa
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_aa_laplace_rhob_laplace_rhob(i, j, k)*mp_gamma_aa*mp_laplace_rhob
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_aa_laplace_rhob_tau_a(i, j, k)*mp_gamma_aa*mp_tau_a
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_aa_laplace_rhob_tau_b(i, j, k)*mp_gamma_aa*mp_tau_b
                           q_laplace_rhob = q_laplace_rhob + 1.0_dp* &
                              n_gamma_ab_gamma_ab_laplace_rhob(i, j, k)*mp_gamma_ab*mp_gamma_ab
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_ab_gamma_bb_laplace_rhob(i, j, k)*mp_gamma_ab*mp_gamma_bb
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_ab_laplace_rhoa_laplace_rhob(i, j, k)*mp_gamma_ab*mp_laplace_rhoa
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_ab_laplace_rhob_laplace_rhob(i, j, k)*mp_gamma_ab*mp_laplace_rhob
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_ab_laplace_rhob_tau_a(i, j, k)*mp_gamma_ab*mp_tau_a
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_ab_laplace_rhob_tau_b(i, j, k)*mp_gamma_ab*mp_tau_b
                           q_laplace_rhob = q_laplace_rhob + 1.0_dp* &
                              n_gamma_bb_gamma_bb_laplace_rhob(i, j, k)*mp_gamma_bb*mp_gamma_bb
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_bb_laplace_rhoa_laplace_rhob(i, j, k)*mp_gamma_bb*mp_laplace_rhoa
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_bb_laplace_rhob_laplace_rhob(i, j, k)*mp_gamma_bb*mp_laplace_rhob
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_bb_laplace_rhob_tau_a(i, j, k)*mp_gamma_bb*mp_tau_a
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_gamma_bb_laplace_rhob_tau_b(i, j, k)*mp_gamma_bb*mp_tau_b
                           q_laplace_rhob = q_laplace_rhob + 1.0_dp* &
                              n_laplace_rhoa_laplace_rhoa_laplace_rhob(i, j, k)*mp_laplace_rhoa*mp_laplace_rhoa
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_laplace_rhoa_laplace_rhob_laplace_rhob(i, j, k)*mp_laplace_rhoa*mp_laplace_rhob
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_laplace_rhoa_laplace_rhob_tau_a(i, j, k)*mp_laplace_rhoa*mp_tau_a
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_laplace_rhoa_laplace_rhob_tau_b(i, j, k)*mp_laplace_rhoa*mp_tau_b
                           q_laplace_rhob = q_laplace_rhob + 1.0_dp* &
                              n_laplace_rhob_laplace_rhob_laplace_rhob(i, j, k)*mp_laplace_rhob*mp_laplace_rhob
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_laplace_rhob_laplace_rhob_tau_a(i, j, k)*mp_laplace_rhob*mp_tau_a
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_laplace_rhob_laplace_rhob_tau_b(i, j, k)*mp_laplace_rhob*mp_tau_b
                           q_laplace_rhob = q_laplace_rhob + 1.0_dp* &
                              n_laplace_rhob_tau_a_tau_a(i, j, k)*mp_tau_a*mp_tau_a
                           q_laplace_rhob = q_laplace_rhob + 2.0_dp* &
                              n_laplace_rhob_tau_a_tau_b(i, j, k)*mp_tau_a*mp_tau_b
                           q_laplace_rhob = q_laplace_rhob + 1.0_dp* &
                              n_laplace_rhob_tau_b_tau_b(i, j, k)*mp_tau_b*mp_tau_b
                           q_laplace_rhob = q_laplace_rhob + n_gamma_aa_laplace_rhob(i, j, k)*mpp_gamma_aa
                           q_laplace_rhob = q_laplace_rhob + n_gamma_ab_laplace_rhob(i, j, k)*mpp_gamma_ab
                           q_laplace_rhob = q_laplace_rhob + n_gamma_bb_laplace_rhob(i, j, k)*mpp_gamma_bb
                           q_tau_a = 0.0_dp
                           q_tau_a = q_tau_a + 1.0_dp* &
                              n_rhoa_rhoa_tau_a(i, j, k)*mp_rhoa*mp_rhoa
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhoa_rhob_tau_a(i, j, k)*mp_rhoa*mp_rhob
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhoa_gamma_aa_tau_a(i, j, k)*mp_rhoa*mp_gamma_aa
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhoa_gamma_ab_tau_a(i, j, k)*mp_rhoa*mp_gamma_ab
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhoa_gamma_bb_tau_a(i, j, k)*mp_rhoa*mp_gamma_bb
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhoa_laplace_rhoa_tau_a(i, j, k)*mp_rhoa*mp_laplace_rhoa
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhoa_laplace_rhob_tau_a(i, j, k)*mp_rhoa*mp_laplace_rhob
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhoa_tau_a_tau_a(i, j, k)*mp_rhoa*mp_tau_a
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhoa_tau_a_tau_b(i, j, k)*mp_rhoa*mp_tau_b
                           q_tau_a = q_tau_a + 1.0_dp* &
                              n_rhob_rhob_tau_a(i, j, k)*mp_rhob*mp_rhob
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhob_gamma_aa_tau_a(i, j, k)*mp_rhob*mp_gamma_aa
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhob_gamma_ab_tau_a(i, j, k)*mp_rhob*mp_gamma_ab
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhob_gamma_bb_tau_a(i, j, k)*mp_rhob*mp_gamma_bb
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhob_laplace_rhoa_tau_a(i, j, k)*mp_rhob*mp_laplace_rhoa
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhob_laplace_rhob_tau_a(i, j, k)*mp_rhob*mp_laplace_rhob
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhob_tau_a_tau_a(i, j, k)*mp_rhob*mp_tau_a
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_rhob_tau_a_tau_b(i, j, k)*mp_rhob*mp_tau_b
                           q_tau_a = q_tau_a + 1.0_dp* &
                              n_gamma_aa_gamma_aa_tau_a(i, j, k)*mp_gamma_aa*mp_gamma_aa
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_aa_gamma_ab_tau_a(i, j, k)*mp_gamma_aa*mp_gamma_ab
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_aa_gamma_bb_tau_a(i, j, k)*mp_gamma_aa*mp_gamma_bb
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_aa_laplace_rhoa_tau_a(i, j, k)*mp_gamma_aa*mp_laplace_rhoa
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_aa_laplace_rhob_tau_a(i, j, k)*mp_gamma_aa*mp_laplace_rhob
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_aa_tau_a_tau_a(i, j, k)*mp_gamma_aa*mp_tau_a
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_aa_tau_a_tau_b(i, j, k)*mp_gamma_aa*mp_tau_b
                           q_tau_a = q_tau_a + 1.0_dp* &
                              n_gamma_ab_gamma_ab_tau_a(i, j, k)*mp_gamma_ab*mp_gamma_ab
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_ab_gamma_bb_tau_a(i, j, k)*mp_gamma_ab*mp_gamma_bb
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_ab_laplace_rhoa_tau_a(i, j, k)*mp_gamma_ab*mp_laplace_rhoa
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_ab_laplace_rhob_tau_a(i, j, k)*mp_gamma_ab*mp_laplace_rhob
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_ab_tau_a_tau_a(i, j, k)*mp_gamma_ab*mp_tau_a
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_ab_tau_a_tau_b(i, j, k)*mp_gamma_ab*mp_tau_b
                           q_tau_a = q_tau_a + 1.0_dp* &
                              n_gamma_bb_gamma_bb_tau_a(i, j, k)*mp_gamma_bb*mp_gamma_bb
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_bb_laplace_rhoa_tau_a(i, j, k)*mp_gamma_bb*mp_laplace_rhoa
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_bb_laplace_rhob_tau_a(i, j, k)*mp_gamma_bb*mp_laplace_rhob
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_bb_tau_a_tau_a(i, j, k)*mp_gamma_bb*mp_tau_a
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_gamma_bb_tau_a_tau_b(i, j, k)*mp_gamma_bb*mp_tau_b
                           q_tau_a = q_tau_a + 1.0_dp* &
                              n_laplace_rhoa_laplace_rhoa_tau_a(i, j, k)*mp_laplace_rhoa*mp_laplace_rhoa
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_laplace_rhoa_laplace_rhob_tau_a(i, j, k)*mp_laplace_rhoa*mp_laplace_rhob
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_laplace_rhoa_tau_a_tau_a(i, j, k)*mp_laplace_rhoa*mp_tau_a
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_laplace_rhoa_tau_a_tau_b(i, j, k)*mp_laplace_rhoa*mp_tau_b
                           q_tau_a = q_tau_a + 1.0_dp* &
                              n_laplace_rhob_laplace_rhob_tau_a(i, j, k)*mp_laplace_rhob*mp_laplace_rhob
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_laplace_rhob_tau_a_tau_a(i, j, k)*mp_laplace_rhob*mp_tau_a
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_laplace_rhob_tau_a_tau_b(i, j, k)*mp_laplace_rhob*mp_tau_b
                           q_tau_a = q_tau_a + 1.0_dp* &
                              n_tau_a_tau_a_tau_a(i, j, k)*mp_tau_a*mp_tau_a
                           q_tau_a = q_tau_a + 2.0_dp* &
                              n_tau_a_tau_a_tau_b(i, j, k)*mp_tau_a*mp_tau_b
                           q_tau_a = q_tau_a + 1.0_dp* &
                              n_tau_a_tau_b_tau_b(i, j, k)*mp_tau_b*mp_tau_b
                           q_tau_a = q_tau_a + n_gamma_aa_tau_a(i, j, k)*mpp_gamma_aa
                           q_tau_a = q_tau_a + n_gamma_ab_tau_a(i, j, k)*mpp_gamma_ab
                           q_tau_a = q_tau_a + n_gamma_bb_tau_a(i, j, k)*mpp_gamma_bb
                           q_tau_b = 0.0_dp
                           q_tau_b = q_tau_b + 1.0_dp* &
                              n_rhoa_rhoa_tau_b(i, j, k)*mp_rhoa*mp_rhoa
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhoa_rhob_tau_b(i, j, k)*mp_rhoa*mp_rhob
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhoa_gamma_aa_tau_b(i, j, k)*mp_rhoa*mp_gamma_aa
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhoa_gamma_ab_tau_b(i, j, k)*mp_rhoa*mp_gamma_ab
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhoa_gamma_bb_tau_b(i, j, k)*mp_rhoa*mp_gamma_bb
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhoa_laplace_rhoa_tau_b(i, j, k)*mp_rhoa*mp_laplace_rhoa
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhoa_laplace_rhob_tau_b(i, j, k)*mp_rhoa*mp_laplace_rhob
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhoa_tau_a_tau_b(i, j, k)*mp_rhoa*mp_tau_a
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhoa_tau_b_tau_b(i, j, k)*mp_rhoa*mp_tau_b
                           q_tau_b = q_tau_b + 1.0_dp* &
                              n_rhob_rhob_tau_b(i, j, k)*mp_rhob*mp_rhob
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhob_gamma_aa_tau_b(i, j, k)*mp_rhob*mp_gamma_aa
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhob_gamma_ab_tau_b(i, j, k)*mp_rhob*mp_gamma_ab
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhob_gamma_bb_tau_b(i, j, k)*mp_rhob*mp_gamma_bb
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhob_laplace_rhoa_tau_b(i, j, k)*mp_rhob*mp_laplace_rhoa
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhob_laplace_rhob_tau_b(i, j, k)*mp_rhob*mp_laplace_rhob
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhob_tau_a_tau_b(i, j, k)*mp_rhob*mp_tau_a
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_rhob_tau_b_tau_b(i, j, k)*mp_rhob*mp_tau_b
                           q_tau_b = q_tau_b + 1.0_dp* &
                              n_gamma_aa_gamma_aa_tau_b(i, j, k)*mp_gamma_aa*mp_gamma_aa
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_aa_gamma_ab_tau_b(i, j, k)*mp_gamma_aa*mp_gamma_ab
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_aa_gamma_bb_tau_b(i, j, k)*mp_gamma_aa*mp_gamma_bb
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_aa_laplace_rhoa_tau_b(i, j, k)*mp_gamma_aa*mp_laplace_rhoa
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_aa_laplace_rhob_tau_b(i, j, k)*mp_gamma_aa*mp_laplace_rhob
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_aa_tau_a_tau_b(i, j, k)*mp_gamma_aa*mp_tau_a
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_aa_tau_b_tau_b(i, j, k)*mp_gamma_aa*mp_tau_b
                           q_tau_b = q_tau_b + 1.0_dp* &
                              n_gamma_ab_gamma_ab_tau_b(i, j, k)*mp_gamma_ab*mp_gamma_ab
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_ab_gamma_bb_tau_b(i, j, k)*mp_gamma_ab*mp_gamma_bb
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_ab_laplace_rhoa_tau_b(i, j, k)*mp_gamma_ab*mp_laplace_rhoa
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_ab_laplace_rhob_tau_b(i, j, k)*mp_gamma_ab*mp_laplace_rhob
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_ab_tau_a_tau_b(i, j, k)*mp_gamma_ab*mp_tau_a
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_ab_tau_b_tau_b(i, j, k)*mp_gamma_ab*mp_tau_b
                           q_tau_b = q_tau_b + 1.0_dp* &
                              n_gamma_bb_gamma_bb_tau_b(i, j, k)*mp_gamma_bb*mp_gamma_bb
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_bb_laplace_rhoa_tau_b(i, j, k)*mp_gamma_bb*mp_laplace_rhoa
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_bb_laplace_rhob_tau_b(i, j, k)*mp_gamma_bb*mp_laplace_rhob
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_bb_tau_a_tau_b(i, j, k)*mp_gamma_bb*mp_tau_a
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_gamma_bb_tau_b_tau_b(i, j, k)*mp_gamma_bb*mp_tau_b
                           q_tau_b = q_tau_b + 1.0_dp* &
                              n_laplace_rhoa_laplace_rhoa_tau_b(i, j, k)*mp_laplace_rhoa*mp_laplace_rhoa
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_laplace_rhoa_laplace_rhob_tau_b(i, j, k)*mp_laplace_rhoa*mp_laplace_rhob
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_laplace_rhoa_tau_a_tau_b(i, j, k)*mp_laplace_rhoa*mp_tau_a
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_laplace_rhoa_tau_b_tau_b(i, j, k)*mp_laplace_rhoa*mp_tau_b
                           q_tau_b = q_tau_b + 1.0_dp* &
                              n_laplace_rhob_laplace_rhob_tau_b(i, j, k)*mp_laplace_rhob*mp_laplace_rhob
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_laplace_rhob_tau_a_tau_b(i, j, k)*mp_laplace_rhob*mp_tau_a
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_laplace_rhob_tau_b_tau_b(i, j, k)*mp_laplace_rhob*mp_tau_b
                           q_tau_b = q_tau_b + 1.0_dp* &
                              n_tau_a_tau_a_tau_b(i, j, k)*mp_tau_a*mp_tau_a
                           q_tau_b = q_tau_b + 2.0_dp* &
                              n_tau_a_tau_b_tau_b(i, j, k)*mp_tau_a*mp_tau_b
                           q_tau_b = q_tau_b + 1.0_dp* &
                              n_tau_b_tau_b_tau_b(i, j, k)*mp_tau_b*mp_tau_b
                           q_tau_b = q_tau_b + n_gamma_aa_tau_b(i, j, k)*mpp_gamma_aa
                           q_tau_b = q_tau_b + n_gamma_ab_tau_b(i, j, k)*mpp_gamma_ab
                           q_tau_b = q_tau_b + n_gamma_bb_tau_b(i, j, k)*mpp_gamma_bb
                           nb_gamma_aa = 0.0_dp
                           nb_gamma_aa = nb_gamma_aa + n_rhoa_gamma_aa(i, j, k)*mp_rhoa
                           nb_gamma_aa = nb_gamma_aa + n_rhob_gamma_aa(i, j, k)*mp_rhob
                           nb_gamma_aa = nb_gamma_aa + n_gamma_aa_gamma_aa(i, j, k)*mp_gamma_aa
                           nb_gamma_aa = nb_gamma_aa + n_gamma_aa_gamma_ab(i, j, k)*mp_gamma_ab
                           nb_gamma_aa = nb_gamma_aa + n_gamma_aa_gamma_bb(i, j, k)*mp_gamma_bb
                           nb_gamma_aa = nb_gamma_aa + n_gamma_aa_laplace_rhoa(i, j, k)*mp_laplace_rhoa
                           nb_gamma_aa = nb_gamma_aa + n_gamma_aa_laplace_rhob(i, j, k)*mp_laplace_rhob
                           nb_gamma_aa = nb_gamma_aa + n_gamma_aa_tau_a(i, j, k)*mp_tau_a
                           nb_gamma_aa = nb_gamma_aa + n_gamma_aa_tau_b(i, j, k)*mp_tau_b
                           nb_gamma_ab = 0.0_dp
                           nb_gamma_ab = nb_gamma_ab + n_rhoa_gamma_ab(i, j, k)*mp_rhoa
                           nb_gamma_ab = nb_gamma_ab + n_rhob_gamma_ab(i, j, k)*mp_rhob
                           nb_gamma_ab = nb_gamma_ab + n_gamma_aa_gamma_ab(i, j, k)*mp_gamma_aa
                           nb_gamma_ab = nb_gamma_ab + n_gamma_ab_gamma_ab(i, j, k)*mp_gamma_ab
                           nb_gamma_ab = nb_gamma_ab + n_gamma_ab_gamma_bb(i, j, k)*mp_gamma_bb
                           nb_gamma_ab = nb_gamma_ab + n_gamma_ab_laplace_rhoa(i, j, k)*mp_laplace_rhoa
                           nb_gamma_ab = nb_gamma_ab + n_gamma_ab_laplace_rhob(i, j, k)*mp_laplace_rhob
                           nb_gamma_ab = nb_gamma_ab + n_gamma_ab_tau_a(i, j, k)*mp_tau_a
                           nb_gamma_ab = nb_gamma_ab + n_gamma_ab_tau_b(i, j, k)*mp_tau_b
                           nb_gamma_bb = 0.0_dp
                           nb_gamma_bb = nb_gamma_bb + n_rhoa_gamma_bb(i, j, k)*mp_rhoa
                           nb_gamma_bb = nb_gamma_bb + n_rhob_gamma_bb(i, j, k)*mp_rhob
                           nb_gamma_bb = nb_gamma_bb + n_gamma_aa_gamma_bb(i, j, k)*mp_gamma_aa
                           nb_gamma_bb = nb_gamma_bb + n_gamma_ab_gamma_bb(i, j, k)*mp_gamma_ab
                           nb_gamma_bb = nb_gamma_bb + n_gamma_bb_gamma_bb(i, j, k)*mp_gamma_bb
                           nb_gamma_bb = nb_gamma_bb + n_gamma_bb_laplace_rhoa(i, j, k)*mp_laplace_rhoa
                           nb_gamma_bb = nb_gamma_bb + n_gamma_bb_laplace_rhob(i, j, k)*mp_laplace_rhob
                           nb_gamma_bb = nb_gamma_bb + n_gamma_bb_tau_a(i, j, k)*mp_tau_a
                           nb_gamma_bb = nb_gamma_bb + n_gamma_bb_tau_b(i, j, k)*mp_tau_b
 
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + q_rhoa
                           v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + q_rhob
                           IF (tau_f) THEN
                              v_xc_tau(1)%array(i, j, k) = v_xc_tau(1)%array(i, j, k) + q_tau_a
                              v_xc_tau(2)%array(i, j, k) = v_xc_tau(2)%array(i, j, k) + q_tau_b
                           END IF
                           IF (laplace_f) THEN
                              v_laplace(1)%array(i, j, k) = v_laplace(1)%array(i, j, k) + q_laplace_rhoa
                              v_laplace(2)%array(i, j, k) = v_laplace(2)%array(i, j, k) + q_laplace_rhob
                           END IF
 
                           ! xc_pw_divergence ADDS div(field), and g_xc = u - div(v)
                           v_drho_r(1, 1)%array(i, j, k) = &
                              -(2.0_dp*drhoa(1)%array(i, j, k)*q_gamma_aa &
                                + drhob(1)%array(i, j, k)*q_gamma_ab &
                                + 2.0_dp*(2.0_dp*drho1a(1)%array(i, j, k)*nb_gamma_aa &
                                          + drho1b(1)%array(i, j, k)*nb_gamma_ab))
                           v_drho_r(1, 2)%array(i, j, k) = &
                              -(2.0_dp*drhob(1)%array(i, j, k)*q_gamma_bb &
                                + drhoa(1)%array(i, j, k)*q_gamma_ab &
                                + 2.0_dp*(2.0_dp*drho1b(1)%array(i, j, k)*nb_gamma_bb &
                                          + drho1a(1)%array(i, j, k)*nb_gamma_ab))
                           v_drho_r(2, 1)%array(i, j, k) = &
                              -(2.0_dp*drhoa(2)%array(i, j, k)*q_gamma_aa &
                                + drhob(2)%array(i, j, k)*q_gamma_ab &
                                + 2.0_dp*(2.0_dp*drho1a(2)%array(i, j, k)*nb_gamma_aa &
                                          + drho1b(2)%array(i, j, k)*nb_gamma_ab))
                           v_drho_r(2, 2)%array(i, j, k) = &
                              -(2.0_dp*drhob(2)%array(i, j, k)*q_gamma_bb &
                                + drhoa(2)%array(i, j, k)*q_gamma_ab &
                                + 2.0_dp*(2.0_dp*drho1b(2)%array(i, j, k)*nb_gamma_bb &
                                          + drho1a(2)%array(i, j, k)*nb_gamma_ab))
                           v_drho_r(3, 1)%array(i, j, k) = &
                              -(2.0_dp*drhoa(3)%array(i, j, k)*q_gamma_aa &
                                + drhob(3)%array(i, j, k)*q_gamma_ab &
                                + 2.0_dp*(2.0_dp*drho1a(3)%array(i, j, k)*nb_gamma_aa &
                                          + drho1b(3)%array(i, j, k)*nb_gamma_ab))
                           v_drho_r(3, 2)%array(i, j, k) = &
                              -(2.0_dp*drhob(3)%array(i, j, k)*q_gamma_bb &
                                + drhoa(3)%array(i, j, k)*q_gamma_ab &
                                + 2.0_dp*(2.0_dp*drho1b(3)%array(i, j, k)*nb_gamma_bb &
                                          + drho1a(3)%array(i, j, k)*nb_gamma_ab))
                        END DO
                     END DO
                  END DO
 
                  IF (my_gapw) THEN
                     ! vxg carries +V; the plane-wave field above is -V
                     DO idir = 1, 3
                        vxg(idir, :, :, 1) = -v_drho_r(idir, 1)%array(:, :, 1)
                     END DO
                  ELSE
                     IF (my_gapw) THEN
               DO idir = 1, 3
                  vxg(idir, :, :, 1) = -v_drho_r(idir, 1)%array(:, :, 1)
               END DO
            ELSE
               CALL xc_pw_divergence(xc_deriv_method_id, v_drho_r(:, 1), tmp_g, vxc_g, v_xc(1))
            END IF
                  END IF
                  CALL xc_pw_divergence(xc_deriv_method_id, v_drho_r(:, 2), tmp_g, vxc_g, v_xc(2))
                  IF (laplace_f) THEN
                     DO ispin = 1, nspins
                        CALL xc_pw_laplace(v_laplace(ispin), pw_pool, xc_deriv_method_id)
                        CALL pw_axpy(v_laplace(ispin), v_xc(ispin))
                        CALL deallocate_pw(v_laplace(ispin), pw_pool)
                     END DO
                     DEALLOCATE (v_laplace)
                  END IF
                  DEALLOCATE (zero_f)
 
               ELSE
 
               IF (.NOT. gradient_f) THEN
                  ! LDA: only the pure-density third derivatives contribute
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhoa, deriv_rhoa])
                  cpassert(ASSOCIATED(deriv_att))
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhoa_rhoa)
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhoa, deriv_rhob])
                  cpassert(ASSOCIATED(deriv_att))
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhoa_rhob)
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhoa, deriv_rhob, deriv_rhob])
                  cpassert(ASSOCIATED(deriv_att))
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhob_rhob)
                  deriv_att => xc_dset_get_derivative(deriv_set, &
                                                      [deriv_rhob, deriv_rhob, deriv_rhob])
                  cpassert(ASSOCIATED(deriv_att))
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_rhob_rhob)
!$OMP             PARALLEL DO PRIVATE(k,j,i,p_rhoa,p_rhob,u_a,u_b) DEFAULT(NONE) COLLAPSE(3) &
!$OMP                         SHARED(g_rhoa_rhoa_rhoa) &
!$OMP                         SHARED(g_rhoa_rhoa_rhob) &
!$OMP                         SHARED(g_rhoa_rhob_rhob) &
!$OMP                         SHARED(g_rhob_rhob_rhob) &
!$OMP                         SHARED(bo,rho1a,rho1b,v_xc)
                  DO k = bo(1, 3), bo(2, 3)
                     DO j = bo(1, 2), bo(2, 2)
                        DO i = bo(1, 1), bo(2, 1)
                           p_rhoa = rho1a(i, j, k)
                           p_rhob = rho1b(i, j, k)
                           u_a = 0.0_dp
                           u_a = u_a + g_rhoa_rhoa_rhoa(i, j, k)*p_rhoa*p_rhoa
                           u_a = u_a + g_rhoa_rhoa_rhob(i, j, k)*p_rhoa*p_rhob
                           u_a = u_a + g_rhoa_rhoa_rhob(i, j, k)*p_rhob*p_rhoa
                           u_a = u_a + g_rhoa_rhob_rhob(i, j, k)*p_rhob*p_rhob
                           u_b = 0.0_dp
                           u_b = u_b + g_rhoa_rhoa_rhob(i, j, k)*p_rhoa*p_rhoa
                           u_b = u_b + g_rhoa_rhob_rhob(i, j, k)*p_rhoa*p_rhob
                           u_b = u_b + g_rhoa_rhob_rhob(i, j, k)*p_rhob*p_rhoa
                           u_b = u_b + g_rhob_rhob_rhob(i, j, k)*p_rhob*p_rhob
                           v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + u_a
                           v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + u_b
                        END DO
                     END DO
                  END DO
 
               ELSE
 
               NULLIFY (g_rhoa_rhoa)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_rhoa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhoa)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_rhob)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_rhob])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhob)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_gamma_aa)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_gamma_aa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_gamma_aa)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_rhob)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_rhob])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_rhob)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_gamma_aa)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_gamma_aa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_gamma_aa)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_aa_gamma_aa)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_aa, deriv_gamma_aa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_aa_gamma_aa)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_aa_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_aa, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_aa_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_aa_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_aa, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_aa_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_ab_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_ab, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_ab_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_ab_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_ab, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_ab_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_bb_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_bb, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_bb_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_rhoa_rhoa)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_rhoa, deriv_rhoa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhoa_rhoa)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_rhoa_rhob)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_rhoa, deriv_rhob])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhoa_rhob)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_rhoa_gamma_aa)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_rhoa, deriv_gamma_aa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhoa_gamma_aa)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_rhoa_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_rhoa, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhoa_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_rhoa_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_rhoa, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhoa_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_rhob_rhob)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_rhob, deriv_rhob])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhob_rhob)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_rhob_gamma_aa)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_rhob, deriv_gamma_aa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhob_gamma_aa)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_rhob_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_rhob, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhob_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_rhob_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_rhob, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_rhob_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_gamma_aa_gamma_aa)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_gamma_aa, deriv_gamma_aa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_gamma_aa_gamma_aa)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_gamma_aa_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_gamma_aa, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_gamma_aa_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_gamma_aa_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_gamma_aa, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_gamma_aa_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_gamma_ab_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_gamma_ab, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_gamma_ab_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_gamma_ab_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_gamma_ab, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_gamma_ab_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhoa_gamma_bb_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhoa, deriv_gamma_bb, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhoa_gamma_bb_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_rhob_rhob)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_rhob, deriv_rhob])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_rhob_rhob)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_rhob_gamma_aa)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_rhob, deriv_gamma_aa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_rhob_gamma_aa)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_rhob_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_rhob, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_rhob_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_rhob_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_rhob, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_rhob_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_gamma_aa_gamma_aa)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_gamma_aa, deriv_gamma_aa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_gamma_aa_gamma_aa)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_gamma_aa_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_gamma_aa, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_gamma_aa_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_gamma_aa_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_gamma_aa, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_gamma_aa_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_gamma_ab_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_gamma_ab, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_gamma_ab_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_gamma_ab_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_gamma_ab, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_gamma_ab_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_rhob_gamma_bb_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_rhob, deriv_gamma_bb, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_rhob_gamma_bb_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_aa_gamma_aa_gamma_aa)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_aa, deriv_gamma_aa, deriv_gamma_aa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_aa_gamma_aa_gamma_aa)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_aa_gamma_aa_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_aa, deriv_gamma_aa, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_aa_gamma_aa_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_aa_gamma_aa_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_aa, deriv_gamma_aa, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_aa_gamma_aa_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_aa_gamma_ab_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_aa, deriv_gamma_ab, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_aa_gamma_ab_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_aa_gamma_ab_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_aa, deriv_gamma_ab, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_aa_gamma_ab_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_aa_gamma_bb_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_aa, deriv_gamma_bb, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_aa_gamma_bb_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_ab_gamma_ab_gamma_ab)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_ab, deriv_gamma_ab, deriv_gamma_ab])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_ab_gamma_ab_gamma_ab)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_ab_gamma_ab_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_ab, deriv_gamma_ab, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_ab_gamma_ab_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_ab_gamma_bb_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_ab, deriv_gamma_bb, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_ab_gamma_bb_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
               NULLIFY (g_gamma_bb_gamma_bb_gamma_bb)
               deriv_att => xc_dset_get_derivative(deriv_set, &
                                                   [deriv_gamma_bb, deriv_gamma_bb, deriv_gamma_bb])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=g_gamma_bb_gamma_bb_gamma_bb)
               ELSE
                  cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
               END IF
 
               ! perturbed reduced gradients: first order (gK1) and second (gK11)
               CALL prepare_dr1dr(gaa1, drhoa, drho1a)
               CALL prepare_dr1dr(gbb1, drhob, drho1b)
               CALL prepare_dr1dr(gab1, drhoa, drho1b)
               CALL prepare_dr1dr(gaa11, drho1a, drho1a)
               CALL prepare_dr1dr(gbb11, drho1b, drho1b)
               CALL prepare_dr1dr(gab11, drho1a, drho1b)
               block
                  REAL(kind=dp), ALLOCATABLE, DIMENSION(:, :, :) :: tmp_ba
                  CALL prepare_dr1dr(tmp_ba, drhob, drho1a)
                  gab1(:, :, :) = gab1(:, :, :) + tmp_ba(:, :, :)
               END block
 
!$OMP          PARALLEL DO PRIVATE(k,j,i,p_rhoa,p_rhob,p_gamma_aa,p_gamma_ab,p_gamma_bb, &
!$OMP                              pp_gamma_aa,pp_gamma_ab,pp_gamma_bb,u_a,u_b, &
!$OMP                              A_gamma_aa,A_gamma_ab,A_gamma_bb, &
!$OMP                              B_gamma_aa,B_gamma_ab,B_gamma_bb) DEFAULT(NONE) COLLAPSE(3) &
!$OMP                      SHARED(g_rhoa_rhoa) &
!$OMP                      SHARED(g_rhoa_rhob) &
!$OMP                      SHARED(g_rhoa_gamma_aa) &
!$OMP                      SHARED(g_rhoa_gamma_ab) &
!$OMP                      SHARED(g_rhoa_gamma_bb) &
!$OMP                      SHARED(g_rhob_rhob) &
!$OMP                      SHARED(g_rhob_gamma_aa) &
!$OMP                      SHARED(g_rhob_gamma_ab) &
!$OMP                      SHARED(g_rhob_gamma_bb) &
!$OMP                      SHARED(g_gamma_aa_gamma_aa) &
!$OMP                      SHARED(g_gamma_aa_gamma_ab) &
!$OMP                      SHARED(g_gamma_aa_gamma_bb) &
!$OMP                      SHARED(g_gamma_ab_gamma_ab) &
!$OMP                      SHARED(g_gamma_ab_gamma_bb) &
!$OMP                      SHARED(g_gamma_bb_gamma_bb) &
!$OMP                      SHARED(g_rhoa_rhoa_rhoa) &
!$OMP                      SHARED(g_rhoa_rhoa_rhob) &
!$OMP                      SHARED(g_rhoa_rhoa_gamma_aa) &
!$OMP                      SHARED(g_rhoa_rhoa_gamma_ab) &
!$OMP                      SHARED(g_rhoa_rhoa_gamma_bb) &
!$OMP                      SHARED(g_rhoa_rhob_rhob) &
!$OMP                      SHARED(g_rhoa_rhob_gamma_aa) &
!$OMP                      SHARED(g_rhoa_rhob_gamma_ab) &
!$OMP                      SHARED(g_rhoa_rhob_gamma_bb) &
!$OMP                      SHARED(g_rhoa_gamma_aa_gamma_aa) &
!$OMP                      SHARED(g_rhoa_gamma_aa_gamma_ab) &
!$OMP                      SHARED(g_rhoa_gamma_aa_gamma_bb) &
!$OMP                      SHARED(g_rhoa_gamma_ab_gamma_ab) &
!$OMP                      SHARED(g_rhoa_gamma_ab_gamma_bb) &
!$OMP                      SHARED(g_rhoa_gamma_bb_gamma_bb) &
!$OMP                      SHARED(g_rhob_rhob_rhob) &
!$OMP                      SHARED(g_rhob_rhob_gamma_aa) &
!$OMP                      SHARED(g_rhob_rhob_gamma_ab) &
!$OMP                      SHARED(g_rhob_rhob_gamma_bb) &
!$OMP                      SHARED(g_rhob_gamma_aa_gamma_aa) &
!$OMP                      SHARED(g_rhob_gamma_aa_gamma_ab) &
!$OMP                      SHARED(g_rhob_gamma_aa_gamma_bb) &
!$OMP                      SHARED(g_rhob_gamma_ab_gamma_ab) &
!$OMP                      SHARED(g_rhob_gamma_ab_gamma_bb) &
!$OMP                      SHARED(g_rhob_gamma_bb_gamma_bb) &
!$OMP                      SHARED(g_gamma_aa_gamma_aa_gamma_aa) &
!$OMP                      SHARED(g_gamma_aa_gamma_aa_gamma_ab) &
!$OMP                      SHARED(g_gamma_aa_gamma_aa_gamma_bb) &
!$OMP                      SHARED(g_gamma_aa_gamma_ab_gamma_ab) &
!$OMP                      SHARED(g_gamma_aa_gamma_ab_gamma_bb) &
!$OMP                      SHARED(g_gamma_aa_gamma_bb_gamma_bb) &
!$OMP                      SHARED(g_gamma_ab_gamma_ab_gamma_ab) &
!$OMP                      SHARED(g_gamma_ab_gamma_ab_gamma_bb) &
!$OMP                      SHARED(g_gamma_ab_gamma_bb_gamma_bb) &
!$OMP                      SHARED(g_gamma_bb_gamma_bb_gamma_bb) &
!$OMP                      SHARED(bo,rho1a,rho1b,gaa1,gab1,gbb1,gaa11,gab11,gbb11, &
!$OMP                             v_xc,v_drho_r,drhoa,drhob,drho1a,drho1b)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                        p_rhoa = rho1a(i, j, k)
                        p_rhob = rho1b(i, j, k)
                        p_gamma_aa = 2.0_dp*gaa1(i, j, k)
                        p_gamma_ab = gab1(i, j, k)
                        p_gamma_bb = 2.0_dp*gbb1(i, j, k)
                        pp_gamma_aa = 2.0_dp*gaa11(i, j, k)
                        pp_gamma_ab = 2.0_dp*gab11(i, j, k)
                        pp_gamma_bb = 2.0_dp*gbb11(i, j, k)
 
                        u_a = 0.0_dp
                        u_a = u_a + g_rhoa_rhoa_rhoa(i, j, k)*p_rhoa*p_rhoa
                        u_a = u_a + g_rhoa_rhoa_rhob(i, j, k)*p_rhoa*p_rhob
                        u_a = u_a + g_rhoa_rhoa_gamma_aa(i, j, k)*p_rhoa*p_gamma_aa
                        u_a = u_a + g_rhoa_rhoa_gamma_ab(i, j, k)*p_rhoa*p_gamma_ab
                        u_a = u_a + g_rhoa_rhoa_gamma_bb(i, j, k)*p_rhoa*p_gamma_bb
                        u_a = u_a + g_rhoa_rhoa_rhob(i, j, k)*p_rhob*p_rhoa
                        u_a = u_a + g_rhoa_rhob_rhob(i, j, k)*p_rhob*p_rhob
                        u_a = u_a + g_rhoa_rhob_gamma_aa(i, j, k)*p_rhob*p_gamma_aa
                        u_a = u_a + g_rhoa_rhob_gamma_ab(i, j, k)*p_rhob*p_gamma_ab
                        u_a = u_a + g_rhoa_rhob_gamma_bb(i, j, k)*p_rhob*p_gamma_bb
                        u_a = u_a + g_rhoa_rhoa_gamma_aa(i, j, k)*p_gamma_aa*p_rhoa
                        u_a = u_a + g_rhoa_rhob_gamma_aa(i, j, k)*p_gamma_aa*p_rhob
                        u_a = u_a + g_rhoa_gamma_aa_gamma_aa(i, j, k)*p_gamma_aa*p_gamma_aa
                        u_a = u_a + g_rhoa_gamma_aa_gamma_ab(i, j, k)*p_gamma_aa*p_gamma_ab
                        u_a = u_a + g_rhoa_gamma_aa_gamma_bb(i, j, k)*p_gamma_aa*p_gamma_bb
                        u_a = u_a + g_rhoa_rhoa_gamma_ab(i, j, k)*p_gamma_ab*p_rhoa
                        u_a = u_a + g_rhoa_rhob_gamma_ab(i, j, k)*p_gamma_ab*p_rhob
                        u_a = u_a + g_rhoa_gamma_aa_gamma_ab(i, j, k)*p_gamma_ab*p_gamma_aa
                        u_a = u_a + g_rhoa_gamma_ab_gamma_ab(i, j, k)*p_gamma_ab*p_gamma_ab
                        u_a = u_a + g_rhoa_gamma_ab_gamma_bb(i, j, k)*p_gamma_ab*p_gamma_bb
                        u_a = u_a + g_rhoa_rhoa_gamma_bb(i, j, k)*p_gamma_bb*p_rhoa
                        u_a = u_a + g_rhoa_rhob_gamma_bb(i, j, k)*p_gamma_bb*p_rhob
                        u_a = u_a + g_rhoa_gamma_aa_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_aa
                        u_a = u_a + g_rhoa_gamma_ab_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_ab
                        u_a = u_a + g_rhoa_gamma_bb_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_bb
                        u_a = u_a + g_rhoa_gamma_aa(i, j, k)*pp_gamma_aa
                        u_a = u_a + g_rhoa_gamma_ab(i, j, k)*pp_gamma_ab
                        u_a = u_a + g_rhoa_gamma_bb(i, j, k)*pp_gamma_bb
                        u_b = 0.0_dp
                        u_b = u_b + g_rhoa_rhoa_rhob(i, j, k)*p_rhoa*p_rhoa
                        u_b = u_b + g_rhoa_rhob_rhob(i, j, k)*p_rhoa*p_rhob
                        u_b = u_b + g_rhoa_rhob_gamma_aa(i, j, k)*p_rhoa*p_gamma_aa
                        u_b = u_b + g_rhoa_rhob_gamma_ab(i, j, k)*p_rhoa*p_gamma_ab
                        u_b = u_b + g_rhoa_rhob_gamma_bb(i, j, k)*p_rhoa*p_gamma_bb
                        u_b = u_b + g_rhoa_rhob_rhob(i, j, k)*p_rhob*p_rhoa
                        u_b = u_b + g_rhob_rhob_rhob(i, j, k)*p_rhob*p_rhob
                        u_b = u_b + g_rhob_rhob_gamma_aa(i, j, k)*p_rhob*p_gamma_aa
                        u_b = u_b + g_rhob_rhob_gamma_ab(i, j, k)*p_rhob*p_gamma_ab
                        u_b = u_b + g_rhob_rhob_gamma_bb(i, j, k)*p_rhob*p_gamma_bb
                        u_b = u_b + g_rhoa_rhob_gamma_aa(i, j, k)*p_gamma_aa*p_rhoa
                        u_b = u_b + g_rhob_rhob_gamma_aa(i, j, k)*p_gamma_aa*p_rhob
                        u_b = u_b + g_rhob_gamma_aa_gamma_aa(i, j, k)*p_gamma_aa*p_gamma_aa
                        u_b = u_b + g_rhob_gamma_aa_gamma_ab(i, j, k)*p_gamma_aa*p_gamma_ab
                        u_b = u_b + g_rhob_gamma_aa_gamma_bb(i, j, k)*p_gamma_aa*p_gamma_bb
                        u_b = u_b + g_rhoa_rhob_gamma_ab(i, j, k)*p_gamma_ab*p_rhoa
                        u_b = u_b + g_rhob_rhob_gamma_ab(i, j, k)*p_gamma_ab*p_rhob
                        u_b = u_b + g_rhob_gamma_aa_gamma_ab(i, j, k)*p_gamma_ab*p_gamma_aa
                        u_b = u_b + g_rhob_gamma_ab_gamma_ab(i, j, k)*p_gamma_ab*p_gamma_ab
                        u_b = u_b + g_rhob_gamma_ab_gamma_bb(i, j, k)*p_gamma_ab*p_gamma_bb
                        u_b = u_b + g_rhoa_rhob_gamma_bb(i, j, k)*p_gamma_bb*p_rhoa
                        u_b = u_b + g_rhob_rhob_gamma_bb(i, j, k)*p_gamma_bb*p_rhob
                        u_b = u_b + g_rhob_gamma_aa_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_aa
                        u_b = u_b + g_rhob_gamma_ab_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_ab
                        u_b = u_b + g_rhob_gamma_bb_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_bb
                        u_b = u_b + g_rhob_gamma_aa(i, j, k)*pp_gamma_aa
                        u_b = u_b + g_rhob_gamma_ab(i, j, k)*pp_gamma_ab
                        u_b = u_b + g_rhob_gamma_bb(i, j, k)*pp_gamma_bb
                        a_gamma_aa = 0.0_dp
                        a_gamma_aa = a_gamma_aa + g_rhoa_rhoa_gamma_aa(i, j, k)*p_rhoa*p_rhoa
                        a_gamma_aa = a_gamma_aa + g_rhoa_rhob_gamma_aa(i, j, k)*p_rhoa*p_rhob
                        a_gamma_aa = a_gamma_aa + g_rhoa_gamma_aa_gamma_aa(i, j, k)*p_rhoa*p_gamma_aa
                        a_gamma_aa = a_gamma_aa + g_rhoa_gamma_aa_gamma_ab(i, j, k)*p_rhoa*p_gamma_ab
                        a_gamma_aa = a_gamma_aa + g_rhoa_gamma_aa_gamma_bb(i, j, k)*p_rhoa*p_gamma_bb
                        a_gamma_aa = a_gamma_aa + g_rhoa_rhob_gamma_aa(i, j, k)*p_rhob*p_rhoa
                        a_gamma_aa = a_gamma_aa + g_rhob_rhob_gamma_aa(i, j, k)*p_rhob*p_rhob
                        a_gamma_aa = a_gamma_aa + g_rhob_gamma_aa_gamma_aa(i, j, k)*p_rhob*p_gamma_aa
                        a_gamma_aa = a_gamma_aa + g_rhob_gamma_aa_gamma_ab(i, j, k)*p_rhob*p_gamma_ab
                        a_gamma_aa = a_gamma_aa + g_rhob_gamma_aa_gamma_bb(i, j, k)*p_rhob*p_gamma_bb
                        a_gamma_aa = a_gamma_aa + g_rhoa_gamma_aa_gamma_aa(i, j, k)*p_gamma_aa*p_rhoa
                        a_gamma_aa = a_gamma_aa + g_rhob_gamma_aa_gamma_aa(i, j, k)*p_gamma_aa*p_rhob
                        a_gamma_aa = a_gamma_aa + g_gamma_aa_gamma_aa_gamma_aa(i, j, k)*p_gamma_aa*p_gamma_aa
                        a_gamma_aa = a_gamma_aa + g_gamma_aa_gamma_aa_gamma_ab(i, j, k)*p_gamma_aa*p_gamma_ab
                        a_gamma_aa = a_gamma_aa + g_gamma_aa_gamma_aa_gamma_bb(i, j, k)*p_gamma_aa*p_gamma_bb
                        a_gamma_aa = a_gamma_aa + g_rhoa_gamma_aa_gamma_ab(i, j, k)*p_gamma_ab*p_rhoa
                        a_gamma_aa = a_gamma_aa + g_rhob_gamma_aa_gamma_ab(i, j, k)*p_gamma_ab*p_rhob
                        a_gamma_aa = a_gamma_aa + g_gamma_aa_gamma_aa_gamma_ab(i, j, k)*p_gamma_ab*p_gamma_aa
                        a_gamma_aa = a_gamma_aa + g_gamma_aa_gamma_ab_gamma_ab(i, j, k)*p_gamma_ab*p_gamma_ab
                        a_gamma_aa = a_gamma_aa + g_gamma_aa_gamma_ab_gamma_bb(i, j, k)*p_gamma_ab*p_gamma_bb
                        a_gamma_aa = a_gamma_aa + g_rhoa_gamma_aa_gamma_bb(i, j, k)*p_gamma_bb*p_rhoa
                        a_gamma_aa = a_gamma_aa + g_rhob_gamma_aa_gamma_bb(i, j, k)*p_gamma_bb*p_rhob
                        a_gamma_aa = a_gamma_aa + g_gamma_aa_gamma_aa_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_aa
                        a_gamma_aa = a_gamma_aa + g_gamma_aa_gamma_ab_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_ab
                        a_gamma_aa = a_gamma_aa + g_gamma_aa_gamma_bb_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_bb
                        a_gamma_aa = a_gamma_aa + g_gamma_aa_gamma_aa(i, j, k)*pp_gamma_aa
                        a_gamma_aa = a_gamma_aa + g_gamma_aa_gamma_ab(i, j, k)*pp_gamma_ab
                        a_gamma_aa = a_gamma_aa + g_gamma_aa_gamma_bb(i, j, k)*pp_gamma_bb
                        a_gamma_ab = 0.0_dp
                        a_gamma_ab = a_gamma_ab + g_rhoa_rhoa_gamma_ab(i, j, k)*p_rhoa*p_rhoa
                        a_gamma_ab = a_gamma_ab + g_rhoa_rhob_gamma_ab(i, j, k)*p_rhoa*p_rhob
                        a_gamma_ab = a_gamma_ab + g_rhoa_gamma_aa_gamma_ab(i, j, k)*p_rhoa*p_gamma_aa
                        a_gamma_ab = a_gamma_ab + g_rhoa_gamma_ab_gamma_ab(i, j, k)*p_rhoa*p_gamma_ab
                        a_gamma_ab = a_gamma_ab + g_rhoa_gamma_ab_gamma_bb(i, j, k)*p_rhoa*p_gamma_bb
                        a_gamma_ab = a_gamma_ab + g_rhoa_rhob_gamma_ab(i, j, k)*p_rhob*p_rhoa
                        a_gamma_ab = a_gamma_ab + g_rhob_rhob_gamma_ab(i, j, k)*p_rhob*p_rhob
                        a_gamma_ab = a_gamma_ab + g_rhob_gamma_aa_gamma_ab(i, j, k)*p_rhob*p_gamma_aa
                        a_gamma_ab = a_gamma_ab + g_rhob_gamma_ab_gamma_ab(i, j, k)*p_rhob*p_gamma_ab
                        a_gamma_ab = a_gamma_ab + g_rhob_gamma_ab_gamma_bb(i, j, k)*p_rhob*p_gamma_bb
                        a_gamma_ab = a_gamma_ab + g_rhoa_gamma_aa_gamma_ab(i, j, k)*p_gamma_aa*p_rhoa
                        a_gamma_ab = a_gamma_ab + g_rhob_gamma_aa_gamma_ab(i, j, k)*p_gamma_aa*p_rhob
                        a_gamma_ab = a_gamma_ab + g_gamma_aa_gamma_aa_gamma_ab(i, j, k)*p_gamma_aa*p_gamma_aa
                        a_gamma_ab = a_gamma_ab + g_gamma_aa_gamma_ab_gamma_ab(i, j, k)*p_gamma_aa*p_gamma_ab
                        a_gamma_ab = a_gamma_ab + g_gamma_aa_gamma_ab_gamma_bb(i, j, k)*p_gamma_aa*p_gamma_bb
                        a_gamma_ab = a_gamma_ab + g_rhoa_gamma_ab_gamma_ab(i, j, k)*p_gamma_ab*p_rhoa
                        a_gamma_ab = a_gamma_ab + g_rhob_gamma_ab_gamma_ab(i, j, k)*p_gamma_ab*p_rhob
                        a_gamma_ab = a_gamma_ab + g_gamma_aa_gamma_ab_gamma_ab(i, j, k)*p_gamma_ab*p_gamma_aa
                        a_gamma_ab = a_gamma_ab + g_gamma_ab_gamma_ab_gamma_ab(i, j, k)*p_gamma_ab*p_gamma_ab
                        a_gamma_ab = a_gamma_ab + g_gamma_ab_gamma_ab_gamma_bb(i, j, k)*p_gamma_ab*p_gamma_bb
                        a_gamma_ab = a_gamma_ab + g_rhoa_gamma_ab_gamma_bb(i, j, k)*p_gamma_bb*p_rhoa
                        a_gamma_ab = a_gamma_ab + g_rhob_gamma_ab_gamma_bb(i, j, k)*p_gamma_bb*p_rhob
                        a_gamma_ab = a_gamma_ab + g_gamma_aa_gamma_ab_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_aa
                        a_gamma_ab = a_gamma_ab + g_gamma_ab_gamma_ab_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_ab
                        a_gamma_ab = a_gamma_ab + g_gamma_ab_gamma_bb_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_bb
                        a_gamma_ab = a_gamma_ab + g_gamma_aa_gamma_ab(i, j, k)*pp_gamma_aa
                        a_gamma_ab = a_gamma_ab + g_gamma_ab_gamma_ab(i, j, k)*pp_gamma_ab
                        a_gamma_ab = a_gamma_ab + g_gamma_ab_gamma_bb(i, j, k)*pp_gamma_bb
                        a_gamma_bb = 0.0_dp
                        a_gamma_bb = a_gamma_bb + g_rhoa_rhoa_gamma_bb(i, j, k)*p_rhoa*p_rhoa
                        a_gamma_bb = a_gamma_bb + g_rhoa_rhob_gamma_bb(i, j, k)*p_rhoa*p_rhob
                        a_gamma_bb = a_gamma_bb + g_rhoa_gamma_aa_gamma_bb(i, j, k)*p_rhoa*p_gamma_aa
                        a_gamma_bb = a_gamma_bb + g_rhoa_gamma_ab_gamma_bb(i, j, k)*p_rhoa*p_gamma_ab
                        a_gamma_bb = a_gamma_bb + g_rhoa_gamma_bb_gamma_bb(i, j, k)*p_rhoa*p_gamma_bb
                        a_gamma_bb = a_gamma_bb + g_rhoa_rhob_gamma_bb(i, j, k)*p_rhob*p_rhoa
                        a_gamma_bb = a_gamma_bb + g_rhob_rhob_gamma_bb(i, j, k)*p_rhob*p_rhob
                        a_gamma_bb = a_gamma_bb + g_rhob_gamma_aa_gamma_bb(i, j, k)*p_rhob*p_gamma_aa
                        a_gamma_bb = a_gamma_bb + g_rhob_gamma_ab_gamma_bb(i, j, k)*p_rhob*p_gamma_ab
                        a_gamma_bb = a_gamma_bb + g_rhob_gamma_bb_gamma_bb(i, j, k)*p_rhob*p_gamma_bb
                        a_gamma_bb = a_gamma_bb + g_rhoa_gamma_aa_gamma_bb(i, j, k)*p_gamma_aa*p_rhoa
                        a_gamma_bb = a_gamma_bb + g_rhob_gamma_aa_gamma_bb(i, j, k)*p_gamma_aa*p_rhob
                        a_gamma_bb = a_gamma_bb + g_gamma_aa_gamma_aa_gamma_bb(i, j, k)*p_gamma_aa*p_gamma_aa
                        a_gamma_bb = a_gamma_bb + g_gamma_aa_gamma_ab_gamma_bb(i, j, k)*p_gamma_aa*p_gamma_ab
                        a_gamma_bb = a_gamma_bb + g_gamma_aa_gamma_bb_gamma_bb(i, j, k)*p_gamma_aa*p_gamma_bb
                        a_gamma_bb = a_gamma_bb + g_rhoa_gamma_ab_gamma_bb(i, j, k)*p_gamma_ab*p_rhoa
                        a_gamma_bb = a_gamma_bb + g_rhob_gamma_ab_gamma_bb(i, j, k)*p_gamma_ab*p_rhob
                        a_gamma_bb = a_gamma_bb + g_gamma_aa_gamma_ab_gamma_bb(i, j, k)*p_gamma_ab*p_gamma_aa
                        a_gamma_bb = a_gamma_bb + g_gamma_ab_gamma_ab_gamma_bb(i, j, k)*p_gamma_ab*p_gamma_ab
                        a_gamma_bb = a_gamma_bb + g_gamma_ab_gamma_bb_gamma_bb(i, j, k)*p_gamma_ab*p_gamma_bb
                        a_gamma_bb = a_gamma_bb + g_rhoa_gamma_bb_gamma_bb(i, j, k)*p_gamma_bb*p_rhoa
                        a_gamma_bb = a_gamma_bb + g_rhob_gamma_bb_gamma_bb(i, j, k)*p_gamma_bb*p_rhob
                        a_gamma_bb = a_gamma_bb + g_gamma_aa_gamma_bb_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_aa
                        a_gamma_bb = a_gamma_bb + g_gamma_ab_gamma_bb_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_ab
                        a_gamma_bb = a_gamma_bb + g_gamma_bb_gamma_bb_gamma_bb(i, j, k)*p_gamma_bb*p_gamma_bb
                        a_gamma_bb = a_gamma_bb + g_gamma_aa_gamma_bb(i, j, k)*pp_gamma_aa
                        a_gamma_bb = a_gamma_bb + g_gamma_ab_gamma_bb(i, j, k)*pp_gamma_ab
                        a_gamma_bb = a_gamma_bb + g_gamma_bb_gamma_bb(i, j, k)*pp_gamma_bb
                        b_gamma_aa = 0.0_dp
                        b_gamma_aa = b_gamma_aa + g_rhoa_gamma_aa(i, j, k)*p_rhoa
                        b_gamma_aa = b_gamma_aa + g_rhob_gamma_aa(i, j, k)*p_rhob
                        b_gamma_aa = b_gamma_aa + g_gamma_aa_gamma_aa(i, j, k)*p_gamma_aa
                        b_gamma_aa = b_gamma_aa + g_gamma_aa_gamma_ab(i, j, k)*p_gamma_ab
                        b_gamma_aa = b_gamma_aa + g_gamma_aa_gamma_bb(i, j, k)*p_gamma_bb
                        b_gamma_ab = 0.0_dp
                        b_gamma_ab = b_gamma_ab + g_rhoa_gamma_ab(i, j, k)*p_rhoa
                        b_gamma_ab = b_gamma_ab + g_rhob_gamma_ab(i, j, k)*p_rhob
                        b_gamma_ab = b_gamma_ab + g_gamma_aa_gamma_ab(i, j, k)*p_gamma_aa
                        b_gamma_ab = b_gamma_ab + g_gamma_ab_gamma_ab(i, j, k)*p_gamma_ab
                        b_gamma_ab = b_gamma_ab + g_gamma_ab_gamma_bb(i, j, k)*p_gamma_bb
                        b_gamma_bb = 0.0_dp
                        b_gamma_bb = b_gamma_bb + g_rhoa_gamma_bb(i, j, k)*p_rhoa
                        b_gamma_bb = b_gamma_bb + g_rhob_gamma_bb(i, j, k)*p_rhob
                        b_gamma_bb = b_gamma_bb + g_gamma_aa_gamma_bb(i, j, k)*p_gamma_aa
                        b_gamma_bb = b_gamma_bb + g_gamma_ab_gamma_bb(i, j, k)*p_gamma_ab
                        b_gamma_bb = b_gamma_bb + g_gamma_bb_gamma_bb(i, j, k)*p_gamma_bb
 
                        v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + u_a
                        v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + u_b
 
                        ! xc_pw_divergence ADDS div(field); g_xc = u - div(v)
                        v_drho_r(1, 1)%array(i, j, k) = &
                           -(2.0_dp*drhoa(1)%array(i, j, k)*a_gamma_aa &
                             + drhob(1)%array(i, j, k)*a_gamma_ab &
                             + 2.0_dp*(2.0_dp*drho1a(1)%array(i, j, k)*b_gamma_aa &
                                       + drho1b(1)%array(i, j, k)*b_gamma_ab))
                        v_drho_r(1, 2)%array(i, j, k) = &
                           -(2.0_dp*drhob(1)%array(i, j, k)*a_gamma_bb &
                             + drhoa(1)%array(i, j, k)*a_gamma_ab &
                             + 2.0_dp*(2.0_dp*drho1b(1)%array(i, j, k)*b_gamma_bb &
                                       + drho1a(1)%array(i, j, k)*b_gamma_ab))
                        v_drho_r(2, 1)%array(i, j, k) = &
                           -(2.0_dp*drhoa(2)%array(i, j, k)*a_gamma_aa &
                             + drhob(2)%array(i, j, k)*a_gamma_ab &
                             + 2.0_dp*(2.0_dp*drho1a(2)%array(i, j, k)*b_gamma_aa &
                                       + drho1b(2)%array(i, j, k)*b_gamma_ab))
                        v_drho_r(2, 2)%array(i, j, k) = &
                           -(2.0_dp*drhob(2)%array(i, j, k)*a_gamma_bb &
                             + drhoa(2)%array(i, j, k)*a_gamma_ab &
                             + 2.0_dp*(2.0_dp*drho1b(2)%array(i, j, k)*b_gamma_bb &
                                       + drho1a(2)%array(i, j, k)*b_gamma_ab))
                        v_drho_r(3, 1)%array(i, j, k) = &
                           -(2.0_dp*drhoa(3)%array(i, j, k)*a_gamma_aa &
                             + drhob(3)%array(i, j, k)*a_gamma_ab &
                             + 2.0_dp*(2.0_dp*drho1a(3)%array(i, j, k)*b_gamma_aa &
                                       + drho1b(3)%array(i, j, k)*b_gamma_ab))
                        v_drho_r(3, 2)%array(i, j, k) = &
                           -(2.0_dp*drhob(3)%array(i, j, k)*a_gamma_bb &
                             + drhoa(3)%array(i, j, k)*a_gamma_ab &
                             + 2.0_dp*(2.0_dp*drho1b(3)%array(i, j, k)*b_gamma_bb &
                                       + drho1a(3)%array(i, j, k)*b_gamma_ab))
                     END DO
                  END DO
               END DO
 
               IF (my_gapw) THEN
                  DO ispin = 1, nspins
                     DO idir = 1, 3
                        vxg(idir, :, :, ispin) = -v_drho_r(idir, ispin)%array(:, :, 1)
                     END DO
                  END DO
               ELSE
                  IF (my_gapw) THEN
                     ! vxg carries +V; the plane-wave field above is -V
                     DO idir = 1, 3
                        vxg(idir, :, :, 1) = -v_drho_r(idir, 1)%array(:, :, 1)
                     END DO
                  ELSE
                     IF (my_gapw) THEN
               DO idir = 1, 3
                  vxg(idir, :, :, 1) = -v_drho_r(idir, 1)%array(:, :, 1)
               END DO
            ELSE
               CALL xc_pw_divergence(xc_deriv_method_id, v_drho_r(:, 1), tmp_g, vxc_g, v_xc(1))
            END IF
                  END IF
                  CALL xc_pw_divergence(xc_deriv_method_id, v_drho_r(:, 2), tmp_g, vxc_g, v_xc(2))
               END IF
               END IF
               END IF
 
            ELSE
 
               ! vxc contributions
               !   vxca = (vxc^{\alpha}-vxc^{\beta})*rho1/|rhoa-rhob|^2
               !   vxcb =-(vxc^{\alpha}-vxc^{\beta})*rho1/|rhoa-rhob|^2
               !     Alpha LDA contribution
               !                 | d e_xc     d e_xc |      rho1a
               !   vxca =  rho1a*|-------- - --------|*---------------
               !                 | drhoa      drhob  | |rhoa - rhob|^2
               deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
!$OMP                PARALLEL DO PRIVATE(k,j,i,s) DEFAULT(NONE)&
!$OMP                SHARED(bo,v_xc,deriv_data,deriv_data2,rho1a,rhoa,rhob,S_THRESH2) COLLAPSE(3)
                     DO k = bo(1, 3), bo(2, 3)
                        DO j = bo(1, 2), bo(2, 2)
                           DO i = bo(1, 1), bo(2, 1)
                              s = rhoa(i, j, k) - rhob(i, j, k)
                              s = -sign(max(s**2, s_thresh2), s)
                              v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                                                       (deriv_data(i, j, k) - deriv_data2(i, j, k))*rho1a(i, j, k)**2/s
                           END DO
                        END DO
                     END DO
!$OMP                END PARALLEL DO
                  END IF
               END IF
               ! GGA contributions to the spin-flip xcKernel
               !     Alpha GGA contributions
               !             |  d e_xc              d e_xc           |      rho1a
               !   vxca += + |----------*dra1dra - ----------*drb1drb|*---------------
               !             | d|drhoa|             d|drhob|         | |rhoa - rhob|^2
               IF (.NOT. alda0) THEN
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
                     deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob])
                     IF (ASSOCIATED(deriv_att)) THEN
                        CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
!$OMP                PARALLEL DO PRIVATE(k,j,i,s) DEFAULT(NONE)&
!$OMP                SHARED(bo,deriv_data,deriv_data2,dra1dra,drb1drb,v_xc,rho1a,rhoa,rhob,S_THRESH2) COLLAPSE(3)
                        DO k = bo(1, 3), bo(2, 3)
                           DO j = bo(1, 2), bo(2, 2)
                              DO i = bo(1, 1), bo(2, 1)
                                 s = rhoa(i, j, k) - rhob(i, j, k)
                                 s = -sign(max(s**2, s_thresh2), s)
                                 v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                                                    (deriv_data(i, j, k)*dra1dra(i, j, k) - deriv_data2(i, j, k)*drb1drb(i, j, k)) &
                                                          *rho1a(i, j, k)/s
                              END DO
                           END DO
                        END DO
!$OMP                END PARALLEL DO
                     END IF
                  END IF
               END IF
               !     Beta contribution = - alpha
!$OMP          PARALLEL DO PRIVATE(k,j,i,s) DEFAULT(NONE)&
!$OMP          SHARED(bo,v_xc) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                        v_xc(2)%array(i, j, k) = -v_xc(1)%array(i, j, k)
                     END DO
                  END DO
               END DO
!$OMP          END PARALLEL DO
               ! fxc contributions
               !   vxca = rho1*(fxc^{\alpha\alpha}-fxc^{\alpha\beta})*rho1/|rhoa-rhob|
               !   vxcb = rho1*(fxc^{\beta\alpha}-fxc^{\beta\beta})*rho1/|rhoa-rhob|
               !     Alpha LDA contribution
               !                  |  d^2 e_xc        d^2 e_xc   |     rho1a
               !   vxca +=  rho1a*|------------- - -------------|*-------------
               !                  | drhoa drhoa     drhoa drhob | |rhoa - rhob|
               deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_rhob])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP                PARALLEL DO PRIVATE(k,j,i,s) DEFAULT(NONE)&
!$OMP                SHARED(bo,deriv_data,deriv_data2,rho1a,v_xc,rhoa,rhob,S_THRESH) COLLAPSE(3)
                     DO k = bo(1, 3), bo(2, 3)
                        DO j = bo(1, 2), bo(2, 2)
                           DO i = bo(1, 1), bo(2, 1)
                              s = max(abs(rhoa(i, j, k) - rhob(i, j, k)), s_thresh)
                              v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                                                       rho1a(i, j, k)**2*(deriv_data(i, j, k) - deriv_data2(i, j, k))/s
                           END DO
                        END DO
                     END DO
!$OMP                END PARALLEL DO
                  END IF
               END IF
               !     Beta LDA contribution
               !                  |  d^2 e_xc        d^2 e_xc   |    rho1a
               !   vxcb +=  rho1a*|------------- - -------------|*-------------
               !                  | drhob drhoa     drhob drhob | |rhoa - rhob|
               deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_rhob])
               IF (ASSOCIATED(deriv_att)) THEN
                  CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP                PARALLEL DO PRIVATE(k,j,i,s) DEFAULT(NONE)&
!$OMP                SHARED(bo,deriv_data,deriv_data2,rho1a,v_xc,rhoa,rhob,S_THRESH) COLLAPSE(3)
                     DO k = bo(1, 3), bo(2, 3)
                        DO j = bo(1, 2), bo(2, 2)
                           DO i = bo(1, 1), bo(2, 1)
                              s = max(abs(rhoa(i, j, k) - rhob(i, j, k)), s_thresh)
                              v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + &
                                                       rho1a(i, j, k)**2*(deriv_data(i, j, k) - deriv_data2(i, j, k))/s
                           END DO
                        END DO
                     END DO
!$OMP                END PARALLEL DO
                  END IF
               END IF
               !     Alpha GGA contribution
               IF (.NOT. alda0) THEN
                  !                 rho1a     |    d^2 e_xc                   d^2 e_xc            |
                  !   vxca += + -------------*|----------------*dra1dra - ----------------*drb1drb|
                  !             |rhoa - rhob| | drhoa d|drhoa|             drhoa d|drhob|         |
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_norm_drhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
                     deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_norm_drhoa])
                     IF (ASSOCIATED(deriv_att)) THEN
                        CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP                PARALLEL DO PRIVATE(k,j,i,s) DEFAULT(NONE)&
!$OMP                SHARED(bo,deriv_data,deriv_data2,dra1dra,drb1drb,rho1a,v_xc,rhoa,rhob,S_THRESH) COLLAPSE(3)
                        DO k = bo(1, 3), bo(2, 3)
                           DO j = bo(1, 2), bo(2, 2)
                              DO i = bo(1, 1), bo(2, 1)
                                 s = max(abs(rhoa(i, j, k) - rhob(i, j, k)), s_thresh)
                                 v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                                                   (deriv_data(i, j, k)*dra1dra(i, j, k) - deriv_data2(i, j, k)*drb1drb(i, j, k))* &
                                                          rho1a(i, j, k)/s
                              END DO
                           END DO
                        END DO
!$OMP                END PARALLEL DO
                     END IF
                  END IF
                  !     Beta GGA contribution
                  !                 rho1a     |    d^2 e_xc                   d^2 e_xc            |
                  !   vxcb += + -------------*|----------------*dra1dra - ----------------*drb1drb|
                  !             |rhoa - rhob| | drhob d|drhoa|             drhob d|drhob|         |
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_norm_drhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
                     deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_norm_drhoa])
                     IF (ASSOCIATED(deriv_att)) THEN
                        CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP                PARALLEL DO PRIVATE(k,j,i,s) DEFAULT(NONE)&
!$OMP                SHARED(bo,deriv_data,deriv_data2,dra1dra,drb1drb,rho1a,v_xc,rhoa,rhob,S_THRESH) COLLAPSE(3)
                        DO k = bo(1, 3), bo(2, 3)
                           DO j = bo(1, 2), bo(2, 2)
                              DO i = bo(1, 1), bo(2, 1)
                                 s = max(abs(rhoa(i, j, k) - rhob(i, j, k)), s_thresh)
                                 v_xc(2)%array(i, j, k) = v_xc(2)%array(i, j, k) + &
                                                   (deriv_data(i, j, k)*dra1dra(i, j, k) - deriv_data2(i, j, k)*drb1drb(i, j, k))* &
                                                          rho1a(i, j, k)/s
                              END DO
                           END DO
                        END DO
!$OMP                END PARALLEL DO
                     END IF
                  END IF
                  !
                  !
                  ! Calculate the vector for the partial integration term of GGA functionals
                  !   First contribution alpha
                  !                  |    d^2 e_xc           d^2 e_xc    |
                  !   v_drhoa(1) += -|---------------- - ----------------|*rho1a
                  !                  | d|drhoa| drhoa     d|drhoa| drhob |
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_rhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
                     deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_rhoa])
                     IF (ASSOCIATED(deriv_att)) THEN
                        CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP                PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP                SHARED(bo,deriv_data,deriv_data2,rho1a,v_drhoa) COLLAPSE(3)
                        DO k = bo(1, 3), bo(2, 3)
                           DO j = bo(1, 2), bo(2, 2)
                              DO i = bo(1, 1), bo(2, 1)
                                 v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                                                             (deriv_data(i, j, k) - deriv_data2(i, j, k))*rho1a(i, j, k)
                              END DO
                           END DO
                        END DO
!$OMP                END PARALLEL DO
                     END IF
                  END IF
                  !   First contribution beta
                  !                  |    d^2 e_xc           d^2 e_xc    |
                  !   v_drhob(2) += +|---------------- - ----------------|*rho1a
                  !                  | d|drhob| drhob     d|drhob| drhoa |
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
                     deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_rhob])
                     IF (ASSOCIATED(deriv_att)) THEN
                        CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP                PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP                SHARED(bo,deriv_data,deriv_data2,rho1a,v_drhob) COLLAPSE(3)
                        DO k = bo(1, 3), bo(2, 3)
                           DO j = bo(1, 2), bo(2, 2)
                              DO i = bo(1, 1), bo(2, 1)
                                 v_drhob(2)%array(i, j, k) = v_drhob(2)%array(i, j, k) + &
                                                             (deriv_data(i, j, k) - deriv_data2(i, j, k))*rho1a(i, j, k)
                              END DO
                           END DO
                        END DO
!$OMP                END PARALLEL DO
                     END IF
                  END IF
                  !   First contribution spinless
                  !                 |   d^2 e_xc          d^2 e_xc    |
                  !   v_drho(1) += -|--------------- - ---------------|*rho1a
                  !                 | d|drho| drhoa     d|drho| drhob |
                  !
                  !                 |   d^2 e_xc          d^2 e_xc    |
                  !   v_drho(2) += -|--------------- - ---------------|*rho1a
                  !                 | d|drho| drhoa     d|drho| drhob |
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_rhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
                     deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_rhob])
                     IF (ASSOCIATED(deriv_att)) THEN
                        CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
!$OMP                PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP                SHARED(bo,deriv_data,deriv_data2,rho1a,v_drho) COLLAPSE(3)
                        DO k = bo(1, 3), bo(2, 3)
                           DO j = bo(1, 2), bo(2, 2)
                              DO i = bo(1, 1), bo(2, 1)
                                 v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                                                            (deriv_data(i, j, k) - deriv_data2(i, j, k))*rho1a(i, j, k)
                                 v_drho(2)%array(i, j, k) = v_drho(2)%array(i, j, k) - &
                                                            (deriv_data(i, j, k) - deriv_data2(i, j, k))*rho1a(i, j, k)
                              END DO
                           END DO
                        END DO
!$OMP                END PARALLEL DO
                     END IF
                  END IF
                  !   Second contribution
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_norm_drhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
                     !                        d^2 e_xc                      d^2 e_xc
                     !   v_drhoa(1) += - -------------------*dra1dra + ------------------*drb1drb
                     !                    d|drhoa| d|drhoa|             d|drhoa| d|drhob|
                     deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_norm_drhoa])
                     IF (ASSOCIATED(deriv_att)) THEN
                        CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP                PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP                SHARED(bo,deriv_data,deriv_data2,dra1dra,drb1drb,v_drhoa) COLLAPSE(3)
                        DO k = bo(1, 3), bo(2, 3)
                           DO j = bo(1, 2), bo(2, 2)
                              DO i = bo(1, 1), bo(2, 1)
                                 v_drhoa(1)%array(i, j, k) = v_drhoa(1)%array(i, j, k) - &
                                                        deriv_data(i, j, k)*dra1dra(i, j, k) + deriv_data2(i, j, k)*drb1drb(i, j, k)
                              END DO
                           END DO
                        END DO
!$OMP                END PARALLEL DO
                     END IF
                     !                        d^2 e_xc                      d^2 e_xc
                     !   v_drhob(2) += - -------------------*dra1dra + -------------------*drb1drb
                     !                    d|drhoa| d|drhob|             d|drhob| d|drhob|
                     deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_norm_drhob])
                     IF (ASSOCIATED(deriv_att)) THEN
                        CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP                PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP                SHARED(bo,deriv_data,deriv_data2,dra1dra,drb1drb,v_drhob) COLLAPSE(3)
                        DO k = bo(1, 3), bo(2, 3)
                           DO j = bo(1, 2), bo(2, 2)
                              DO i = bo(1, 1), bo(2, 1)
                                 v_drhob(2)%array(i, j, k) = v_drhob(2)%array(i, j, k) - &
                                                        deriv_data(i, j, k)*dra1dra(i, j, k) + deriv_data2(i, j, k)*drb1drb(i, j, k)
                              END DO
                           END DO
                        END DO
!$OMP                END PARALLEL DO
                     END IF
                  END IF
                  !                      d^2 e_xc                     d^2 e_xc
                  !   v_drho(1) += - ------------------*dra1dra + ------------------*drb1drb
                  !                   d|drho| d|drhoa|             d|drho| d|drhob|
                  !
                  !                      d^2 e_xc                     d^2 e_xc
                  !   v_drho(2) += - ------------------*dra1dra + ------------------*drb1drb
                  !                   d|drho| d|drhoa|             d|drho| d|drhob|
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_norm_drhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data2)
                     deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_norm_drhoa])
                     IF (ASSOCIATED(deriv_att)) THEN
                        CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
!$OMP                PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE)&
!$OMP                SHARED(bo,deriv_data,deriv_data2,dra1dra,drb1drb,v_drho) COLLAPSE(3)
                        DO k = bo(1, 3), bo(2, 3)
                           DO j = bo(1, 2), bo(2, 2)
                              DO i = bo(1, 1), bo(2, 1)
                                 v_drho(1)%array(i, j, k) = v_drho(1)%array(i, j, k) - &
                                                            deriv_data(i, j, k)*dra1dra(i, j, k) + &
                                                            deriv_data2(i, j, k)*drb1drb(i, j, k)
                                 v_drho(2)%array(i, j, k) = v_drho(2)%array(i, j, k) - &
                                                            deriv_data(i, j, k)*dra1dra(i, j, k) + &
                                                            deriv_data2(i, j, k)*drb1drb(i, j, k)
                              END DO
                           END DO
                        END DO
!$OMP                END PARALLEL DO
                     END IF
                  END IF
                  !
 
                  ! Last GGA contribution
                  !   Alpha contribution
                  !                     d e_xc
                  !   v_drhoa(1) += + ----------*dra1dra
                  !                    d|drhoa|
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
                     CALL xc_derivative_get(deriv_att, deriv_data=e_drhoa)
 
!$OMP             PARALLEL WORKSHARE DEFAULT(NONE) SHARED(dra1dra,gradient_cut,norm_drhoa,v_drhoa,deriv_data)
                     v_drhoa(1)%array(:, :, :) = v_drhoa(1)%array(:, :, :) + &
                                                 deriv_data(:, :, :)*dra1dra(:, :, :)/max(gradient_cut, norm_drhoa(:, :, :))**2
!$OMP             END PARALLEL WORKSHARE
                  END IF
                  !   Beta contribution
                  !                     d e_xc
                  !   v_drhob(2) += - ----------*drb1drb
                  !                    d|drhob|
                  deriv_att => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob])
                  IF (ASSOCIATED(deriv_att)) THEN
                     CALL xc_derivative_get(deriv_att, deriv_data=deriv_data)
                     CALL xc_derivative_get(deriv_att, deriv_data=e_drhob)
 
!$OMP             PARALLEL WORKSHARE DEFAULT(NONE) SHARED(drb1drb,gradient_cut,norm_drhob,v_drhob,deriv_data)
                     v_drhob(2)%array(:, :, :) = v_drhob(2)%array(:, :, :) - &
                                                 deriv_data(:, :, :)*drb1drb(:, :, :)/max(gradient_cut, norm_drhob(:, :, :))**2
!$OMP             END PARALLEL WORKSHARE
                  END IF
               END IF ! If ALDA0
            END IF
 
         ELSE
 
            ! Analytic third derivative for closed-shell
            cpabort("Exchange-correlation's analytic third derivative not implemented")
 
         END IF
 
         IF (gradient_f) THEN
            ! This partial integration is written for the spin-flip kernel only;
            ! the gamma-form branch above does its own divergence. The cleanup
            ! below, however, has to run for both.
            IF (.NOT. alda0 .AND. do_spinflip) THEN
 
               ! partial integration
               DO idir = 1, 3
 
                  ! GGA contributions to the spin-flip xc-Kernel
                  !
                  !                     v_drhoa(1)*drhoa(:)*rhoa1     v_drhob(1)*drhob(:)*rhoa1     v_drho(1)*drho(:)*rhoa1
                  !   v_drho_r(:,1) =  --------------------------- + --------------------------- + -------------------------
                  !                          |rhoa - rhob|                 |rhoa - rhob|                |rhoa - rhob|
                  !
                  !                     v_drhoa(2)*drhoa(:)*rhoa1     v_drhob(2)*drhob(:)*rhoa1     v_drho(2)*drho(:)*rhoa1
                  !   v_drho_r(:,2) =  --------------------------- + --------------------------- + -------------------------
                  !                          |rhoa - rhob|                 |rhoa - rhob|                |rhoa - rhob|
                  IF (do_spinflip) THEN
!$OMP             PARALLEL DO PRIVATE(k,j,i,s) DEFAULT(NONE)&
!$OMP             SHARED(bo,v_drho_r,v_drho,v_drhoa,v_drhob,rhoa,rhob,drho,drhoa,drhob,rho1a,idir,S_THRESH) COLLAPSE(3)
                     DO k = bo(1, 3), bo(2, 3)
                        DO j = bo(1, 2), bo(2, 2)
                           DO i = bo(1, 1), bo(2, 1)
                              s = max(abs(rhoa(i, j, k) - rhob(i, j, k)), s_thresh)
                              DO ispin = 1, 2
                                 v_drho_r(idir, ispin)%array(i, j, k) = v_drho_r(idir, ispin)%array(i, j, k) + &
                                                       v_drhoa(ispin)%array(i, j, k)*drhoa(idir)%array(i, j, k)*rho1a(i, j, k)/s + &
                                                       v_drhob(ispin)%array(i, j, k)*drhob(idir)%array(i, j, k)*rho1a(i, j, k)/s + &
                                                             v_drho(ispin)%array(i, j, k)*drho(idir)%array(i, j, k)*rho1a(i, j, k)/s
                              END DO
                           END DO
                        END DO
                     END DO
!$OMP             END PARALLEL DO
                  END IF
                  ! Last GGA contribution
                  !   Alpha contribution
                  !                          rho1a       d e_xc
                  !   v_drho_r(:,1) += - -------------*----------*drho1a(:)
                  !                      |rhoa - rhob|  d|drhoa|
                  IF (ASSOCIATED(e_drhoa)) THEN
!$OMP             PARALLEL DO PRIVATE(k,j,i,s) DEFAULT(NONE)&
!$OMP             SHARED(bo,e_drhoa,v_drho_r,drho1a,rho1a,rhoa,rhob,S_THRESH,idir) COLLAPSE(3)
                     DO k = bo(1, 3), bo(2, 3)
                        DO j = bo(1, 2), bo(2, 2)
                           DO i = bo(1, 1), bo(2, 1)
                              s = max(abs(rhoa(i, j, k) - rhob(i, j, k)), s_thresh)
                              v_drho_r(idir, 1)%array(i, j, k) = v_drho_r(idir, 1)%array(i, j, k) - &
                                                                 e_drhoa(i, j, k)*drho1a(idir)%array(i, j, k)*rho1a(i, j, k)/s
                           END DO
                        END DO
                     END DO
!$OMP             END PARALLEL DO
                  END IF
                  !   Beta contribution
                  !                          rho1a       d e_xc
                  !   v_drho_r(:,2) += + -------------*----------*drho1a(:)
                  !                      |rhoa - rhob|  d|drhob|
                  IF (ASSOCIATED(e_drhob)) THEN
!$OMP             PARALLEL DO PRIVATE(k,j,i,s) DEFAULT(NONE)&
!$OMP             SHARED(bo,e_drhob,v_drho_r,drho1a,rho1a,rhoa,rhob,S_THRESH,idir) COLLAPSE(3)
                     DO k = bo(1, 3), bo(2, 3)
                        DO j = bo(1, 2), bo(2, 2)
                           DO i = bo(1, 1), bo(2, 1)
                              s = max(abs(rhoa(i, j, k) - rhob(i, j, k)), s_thresh)
                              v_drho_r(idir, 2)%array(i, j, k) = v_drho_r(idir, 2)%array(i, j, k) + &
                                                                 e_drhob(i, j, k)*drho1a(idir)%array(i, j, k)*rho1a(i, j, k)/s
                           END DO
                        END DO
                     END DO
!$OMP             END PARALLEL DO
                  END IF
               END DO
 
               ! partial integration: v_xc = v_xc - \nabla \cdot vdrho_r
               DO ispin = 1, nspins
                  CALL xc_pw_divergence(xc_deriv_method_id, v_drho_r(:, ispin), tmp_g, vxc_g, v_xc(ispin))
               END DO ! ispin
            END IF ! ALDA0
 
            DO idir = 1, 3
               DEALLOCATE (drho(idir)%array)
               DEALLOCATE (drho1(idir)%array)
            END DO
 
            DO ispin = 1, nspins
               CALL deallocate_pw(v_drhoa(ispin), pw_pool)
               CALL deallocate_pw(v_drhob(ispin), pw_pool)
            END DO
 
            DEALLOCATE (v_drhoa, v_drhob)
 
         END IF ! gradient_f
 
      ELSE
 
         !-----------------!
         ! restricted case !
         !-----------------!
         !
         ! Third functional derivative contracted twice with the response density,
         ! in the reduced-gradient variables gamma = |grad rho|^2 (LibXC's sigma):
         !
         !   g_xc = u - div(v)
         !   u    = e_rrr rho1^2 + 2 e_rrg rho1 g1 + e_rgg g1^2 + e_rg  g11
         !   A    = e_rrg rho1^2 + 2 e_rgg rho1 g1 + e_ggg g1^2 + e_gg  g11
         !   B    = e_rg  rho1   +   e_gg  g1
         !   v    = 2 grad rho A + 4 grad rho1 B
         !
         ! with g1 = 2 grad rho . grad rho1 and g11 = 2 |grad rho1|^2. Working in
         ! gamma rather than in |grad rho| is what makes this terminate: gamma is
         ! quadratic in grad rho, so its third variation vanishes identically and
         ! no inverse powers of |grad rho| appear anywhere.
 
         CALL xc_rho_set_get(rho1_set, rho=rho1)
 
         NULLIFY (e_rrr, e_rrg, e_rgg, e_ggg, e_rg, e_gg)
         deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rho, deriv_rho, deriv_rho])
         IF (ASSOCIATED(deriv_att)) CALL xc_derivative_get(deriv_att, deriv_data=e_rrr)
 
         IF (gradient_f) THEN
            CALL xc_rho_set_get(rho_set, drho=drho)
            CALL xc_rho_set_get(rho1_set, drho=drho1)
            CALL prepare_dr1dr(dr1dr, drho, drho1)
            CALL prepare_dr1dr(dr1dr1, drho1, drho1)
 
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rho, deriv_rho, deriv_gamma])
            IF (ASSOCIATED(deriv_att)) CALL xc_derivative_get(deriv_att, deriv_data=e_rrg)
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rho, deriv_gamma, deriv_gamma])
            IF (ASSOCIATED(deriv_att)) CALL xc_derivative_get(deriv_att, deriv_data=e_rgg)
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_gamma, deriv_gamma, deriv_gamma])
            IF (ASSOCIATED(deriv_att)) CALL xc_derivative_get(deriv_att, deriv_data=e_ggg)
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_rho, deriv_gamma])
            IF (ASSOCIATED(deriv_att)) CALL xc_derivative_get(deriv_att, deriv_data=e_rg)
            deriv_att => xc_dset_get_derivative(deriv_set, [deriv_gamma, deriv_gamma])
            IF (ASSOCIATED(deriv_att)) CALL xc_derivative_get(deriv_att, deriv_data=e_gg)
 
            ! The gamma derivatives are supplied by the LibXC path. Functionals
            ! implemented natively in CP2K still deliver only the norm_drho ones,
            ! for which the third derivative has not been written out.
            IF (.NOT. (ASSOCIATED(e_rrr) .AND. ASSOCIATED(e_rrg) .AND. ASSOCIATED(e_rgg) &
                       .AND. ASSOCIATED(e_ggg) .AND. ASSOCIATED(e_rg) .AND. ASSOCIATED(e_gg))) THEN
               cpabort("Analytic 3rd GGA derivatives need the LibXC gamma derivatives")
            END IF
         END IF
 
         IF (gradient_f .AND. (tau_f .OR. laplace_f)) THEN
 
            ! Restricted meta-GGA. Same gamma formulation as the GGA branch, with
            ! the variable set widened to (rho, gamma, laplace_rho, tau). tau and
            ! the Laplacian are linear in the density, so their second variations
            ! vanish and only gamma contributes a gK11 term.
            !
            !   out_Z = sum_XY e_{Z X Y} X1 Y1 + e_{Z gamma} gamma11
            !   A     = out_gamma,   B = sum_Y e_{gamma Y} Y1
            !   v     = 2 grad rho A + 4 grad rho1 B
            !
            ! out_rho -> v_xc, out_tau -> v_xc_tau, out_laplace_rho -> v_laplace
            ! (folded back through xc_pw_laplace below).
 
            CALL xc_rho_set_get(rho_set, drho=drho)
            CALL xc_rho_set_get(rho1_set, drho=drho1)
            CALL prepare_dr1dr(dr1dr, drho, drho1)
            CALL prepare_dr1dr(dr1dr1, drho1, drho1)
            IF (tau_f) CALL xc_rho_set_get(rho1_set, tau=tau1)
            IF (laplace_f) CALL xc_rho_set_get(rho1_set, laplace_rho=laplace1)
 
            ! a zero field stands in for derivatives this functional does not have
            ALLOCATE (zero_f(bo(1, 1):bo(2, 1), bo(1, 2):bo(2, 2), bo(1, 3):bo(2, 3)))
            zero_f = 0.0_dp
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_rho)
            ELSE
               m_rho_rho => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_gamma])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_gamma)
            ELSE
               m_rho_gamma => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_laplace_rho)
            ELSE
               m_rho_laplace_rho => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_tau)
            ELSE
               m_rho_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_gamma, deriv_gamma])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_gamma_gamma)
            ELSE
               m_gamma_gamma => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_gamma, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_gamma_laplace_rho)
            ELSE
               m_gamma_laplace_rho => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_gamma, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_gamma_tau)
            ELSE
               m_gamma_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_laplace_rho, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_laplace_rho_laplace_rho)
            ELSE
               m_laplace_rho_laplace_rho => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_laplace_rho, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_laplace_rho_tau)
            ELSE
               m_laplace_rho_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_tau, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_tau_tau)
            ELSE
               m_tau_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_rho, deriv_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_rho_rho)
            ELSE
               m_rho_rho_rho => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_rho, deriv_gamma])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_rho_gamma)
            ELSE
               m_rho_rho_gamma => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_rho, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_rho_laplace_rho)
            ELSE
               m_rho_rho_laplace_rho => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_rho, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_rho_tau)
            ELSE
               m_rho_rho_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_gamma, deriv_gamma])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_gamma_gamma)
            ELSE
               m_rho_gamma_gamma => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_gamma, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_gamma_laplace_rho)
            ELSE
               m_rho_gamma_laplace_rho => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_gamma, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_gamma_tau)
            ELSE
               m_rho_gamma_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_laplace_rho, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_laplace_rho_laplace_rho)
            ELSE
               m_rho_laplace_rho_laplace_rho => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_laplace_rho, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_laplace_rho_tau)
            ELSE
               m_rho_laplace_rho_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_rho, deriv_tau, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_rho_tau_tau)
            ELSE
               m_rho_tau_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_gamma, deriv_gamma, deriv_gamma])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_gamma_gamma_gamma)
            ELSE
               m_gamma_gamma_gamma => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_gamma, deriv_gamma, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_gamma_gamma_laplace_rho)
            ELSE
               m_gamma_gamma_laplace_rho => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_gamma, deriv_gamma, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_gamma_gamma_tau)
            ELSE
               m_gamma_gamma_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_gamma, deriv_laplace_rho, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_gamma_laplace_rho_laplace_rho)
            ELSE
               m_gamma_laplace_rho_laplace_rho => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_gamma, deriv_laplace_rho, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_gamma_laplace_rho_tau)
            ELSE
               m_gamma_laplace_rho_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_gamma, deriv_tau, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_gamma_tau_tau)
            ELSE
               m_gamma_tau_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_laplace_rho, deriv_laplace_rho, deriv_laplace_rho])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_laplace_rho_laplace_rho_laplace_rho)
            ELSE
               m_laplace_rho_laplace_rho_laplace_rho => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_laplace_rho, deriv_laplace_rho, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_laplace_rho_laplace_rho_tau)
            ELSE
               m_laplace_rho_laplace_rho_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_laplace_rho, deriv_tau, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_laplace_rho_tau_tau)
            ELSE
               m_laplace_rho_tau_tau => zero_f
            END IF
            deriv_att => xc_dset_get_derivative(deriv_set, &
                                                [deriv_tau, deriv_tau, deriv_tau])
            IF (ASSOCIATED(deriv_att)) THEN
               CALL xc_derivative_get(deriv_att, deriv_data=m_tau_tau_tau)
            ELSE
               m_tau_tau_tau => zero_f
            END IF
 
            IF (laplace_f) THEN
               ALLOCATE (v_laplace(nspins))
               DO ispin = 1, nspins
                  CALL allocate_pw(v_laplace(ispin), pw_pool, bo)
               END DO
            END IF
 
!$OMP       PARALLEL DO PRIVATE(k,j,i,mp_rho,mp_gamma,mp_laplace_rho,mp_tau,mpp_gamma, &
!$OMP                           m_rho,m_gamma,m_laplace_rho,m_tau,m_B) DEFAULT(NONE) COLLAPSE(3) &
!$OMP                   SHARED(m_rho_rho) &
!$OMP                   SHARED(m_rho_gamma) &
!$OMP                   SHARED(m_rho_laplace_rho) &
!$OMP                   SHARED(m_rho_tau) &
!$OMP                   SHARED(m_gamma_gamma) &
!$OMP                   SHARED(m_gamma_laplace_rho) &
!$OMP                   SHARED(m_gamma_tau) &
!$OMP                   SHARED(m_laplace_rho_laplace_rho) &
!$OMP                   SHARED(m_laplace_rho_tau) &
!$OMP                   SHARED(m_tau_tau) &
!$OMP                   SHARED(m_rho_rho_rho) &
!$OMP                   SHARED(m_rho_rho_gamma) &
!$OMP                   SHARED(m_rho_rho_laplace_rho) &
!$OMP                   SHARED(m_rho_rho_tau) &
!$OMP                   SHARED(m_rho_gamma_gamma) &
!$OMP                   SHARED(m_rho_gamma_laplace_rho) &
!$OMP                   SHARED(m_rho_gamma_tau) &
!$OMP                   SHARED(m_rho_laplace_rho_laplace_rho) &
!$OMP                   SHARED(m_rho_laplace_rho_tau) &
!$OMP                   SHARED(m_rho_tau_tau) &
!$OMP                   SHARED(m_gamma_gamma_gamma) &
!$OMP                   SHARED(m_gamma_gamma_laplace_rho) &
!$OMP                   SHARED(m_gamma_gamma_tau) &
!$OMP                   SHARED(m_gamma_laplace_rho_laplace_rho) &
!$OMP                   SHARED(m_gamma_laplace_rho_tau) &
!$OMP                   SHARED(m_gamma_tau_tau) &
!$OMP                   SHARED(m_laplace_rho_laplace_rho_laplace_rho) &
!$OMP                   SHARED(m_laplace_rho_laplace_rho_tau) &
!$OMP                   SHARED(m_laplace_rho_tau_tau) &
!$OMP                   SHARED(m_tau_tau_tau) &
!$OMP                   SHARED(bo,rho1,dr1dr,dr1dr1,tau_f,tau1,laplace_f,laplace1, &
!$OMP                          v_xc,v_xc_tau,v_laplace,v_drho_r,drho,drho1)
            DO k = bo(1, 3), bo(2, 3)
               DO j = bo(1, 2), bo(2, 2)
                  DO i = bo(1, 1), bo(2, 1)
                     mp_rho = rho1(i, j, k)
                     mp_gamma = 2.0_dp*dr1dr(i, j, k)
                     mpp_gamma = 2.0_dp*dr1dr1(i, j, k)
                     mp_tau = 0.0_dp
                     IF (tau_f) mp_tau = tau1(i, j, k)
                     mp_laplace_rho = 0.0_dp
                     IF (laplace_f) mp_laplace_rho = laplace1(i, j, k)
 
                     m_rho = 0.0_dp
                     m_rho = m_rho + 1.0_dp* &
                        m_rho_rho_rho(i, j, k)*mp_rho*mp_rho
                     m_rho = m_rho + 2.0_dp* &
                        m_rho_rho_gamma(i, j, k)*mp_rho*mp_gamma
                     m_rho = m_rho + 2.0_dp* &
                        m_rho_rho_laplace_rho(i, j, k)*mp_rho*mp_laplace_rho
                     m_rho = m_rho + 2.0_dp* &
                        m_rho_rho_tau(i, j, k)*mp_rho*mp_tau
                     m_rho = m_rho + 1.0_dp* &
                        m_rho_gamma_gamma(i, j, k)*mp_gamma*mp_gamma
                     m_rho = m_rho + 2.0_dp* &
                        m_rho_gamma_laplace_rho(i, j, k)*mp_gamma*mp_laplace_rho
                     m_rho = m_rho + 2.0_dp* &
                        m_rho_gamma_tau(i, j, k)*mp_gamma*mp_tau
                     m_rho = m_rho + 1.0_dp* &
                        m_rho_laplace_rho_laplace_rho(i, j, k)*mp_laplace_rho*mp_laplace_rho
                     m_rho = m_rho + 2.0_dp* &
                        m_rho_laplace_rho_tau(i, j, k)*mp_laplace_rho*mp_tau
                     m_rho = m_rho + 1.0_dp* &
                        m_rho_tau_tau(i, j, k)*mp_tau*mp_tau
                     m_rho = m_rho + m_rho_gamma(i, j, k)*mpp_gamma
                     m_gamma = 0.0_dp
                     m_gamma = m_gamma + 1.0_dp* &
                        m_rho_rho_gamma(i, j, k)*mp_rho*mp_rho
                     m_gamma = m_gamma + 2.0_dp* &
                        m_rho_gamma_gamma(i, j, k)*mp_rho*mp_gamma
                     m_gamma = m_gamma + 2.0_dp* &
                        m_rho_gamma_laplace_rho(i, j, k)*mp_rho*mp_laplace_rho
                     m_gamma = m_gamma + 2.0_dp* &
                        m_rho_gamma_tau(i, j, k)*mp_rho*mp_tau
                     m_gamma = m_gamma + 1.0_dp* &
                        m_gamma_gamma_gamma(i, j, k)*mp_gamma*mp_gamma
                     m_gamma = m_gamma + 2.0_dp* &
                        m_gamma_gamma_laplace_rho(i, j, k)*mp_gamma*mp_laplace_rho
                     m_gamma = m_gamma + 2.0_dp* &
                        m_gamma_gamma_tau(i, j, k)*mp_gamma*mp_tau
                     m_gamma = m_gamma + 1.0_dp* &
                        m_gamma_laplace_rho_laplace_rho(i, j, k)*mp_laplace_rho*mp_laplace_rho
                     m_gamma = m_gamma + 2.0_dp* &
                        m_gamma_laplace_rho_tau(i, j, k)*mp_laplace_rho*mp_tau
                     m_gamma = m_gamma + 1.0_dp* &
                        m_gamma_tau_tau(i, j, k)*mp_tau*mp_tau
                     m_gamma = m_gamma + m_gamma_gamma(i, j, k)*mpp_gamma
                     m_laplace_rho = 0.0_dp
                     m_laplace_rho = m_laplace_rho + 1.0_dp* &
                        m_rho_rho_laplace_rho(i, j, k)*mp_rho*mp_rho
                     m_laplace_rho = m_laplace_rho + 2.0_dp* &
                        m_rho_gamma_laplace_rho(i, j, k)*mp_rho*mp_gamma
                     m_laplace_rho = m_laplace_rho + 2.0_dp* &
                        m_rho_laplace_rho_laplace_rho(i, j, k)*mp_rho*mp_laplace_rho
                     m_laplace_rho = m_laplace_rho + 2.0_dp* &
                        m_rho_laplace_rho_tau(i, j, k)*mp_rho*mp_tau
                     m_laplace_rho = m_laplace_rho + 1.0_dp* &
                        m_gamma_gamma_laplace_rho(i, j, k)*mp_gamma*mp_gamma
                     m_laplace_rho = m_laplace_rho + 2.0_dp* &
                        m_gamma_laplace_rho_laplace_rho(i, j, k)*mp_gamma*mp_laplace_rho
                     m_laplace_rho = m_laplace_rho + 2.0_dp* &
                        m_gamma_laplace_rho_tau(i, j, k)*mp_gamma*mp_tau
                     m_laplace_rho = m_laplace_rho + 1.0_dp* &
                        m_laplace_rho_laplace_rho_laplace_rho(i, j, k)*mp_laplace_rho*mp_laplace_rho
                     m_laplace_rho = m_laplace_rho + 2.0_dp* &
                        m_laplace_rho_laplace_rho_tau(i, j, k)*mp_laplace_rho*mp_tau
                     m_laplace_rho = m_laplace_rho + 1.0_dp* &
                        m_laplace_rho_tau_tau(i, j, k)*mp_tau*mp_tau
                     m_laplace_rho = m_laplace_rho + m_gamma_laplace_rho(i, j, k)*mpp_gamma
                     m_tau = 0.0_dp
                     m_tau = m_tau + 1.0_dp* &
                        m_rho_rho_tau(i, j, k)*mp_rho*mp_rho
                     m_tau = m_tau + 2.0_dp* &
                        m_rho_gamma_tau(i, j, k)*mp_rho*mp_gamma
                     m_tau = m_tau + 2.0_dp* &
                        m_rho_laplace_rho_tau(i, j, k)*mp_rho*mp_laplace_rho
                     m_tau = m_tau + 2.0_dp* &
                        m_rho_tau_tau(i, j, k)*mp_rho*mp_tau
                     m_tau = m_tau + 1.0_dp* &
                        m_gamma_gamma_tau(i, j, k)*mp_gamma*mp_gamma
                     m_tau = m_tau + 2.0_dp* &
                        m_gamma_laplace_rho_tau(i, j, k)*mp_gamma*mp_laplace_rho
                     m_tau = m_tau + 2.0_dp* &
                        m_gamma_tau_tau(i, j, k)*mp_gamma*mp_tau
                     m_tau = m_tau + 1.0_dp* &
                        m_laplace_rho_laplace_rho_tau(i, j, k)*mp_laplace_rho*mp_laplace_rho
                     m_tau = m_tau + 2.0_dp* &
                        m_laplace_rho_tau_tau(i, j, k)*mp_laplace_rho*mp_tau
                     m_tau = m_tau + 1.0_dp* &
                        m_tau_tau_tau(i, j, k)*mp_tau*mp_tau
                     m_tau = m_tau + m_gamma_tau(i, j, k)*mpp_gamma
                     m_b = 0.0_dp
                     m_b = m_b + m_rho_gamma(i, j, k)*mp_rho
                     m_b = m_b + m_gamma_gamma(i, j, k)*mp_gamma
                     m_b = m_b + m_gamma_laplace_rho(i, j, k)*mp_laplace_rho
                     m_b = m_b + m_gamma_tau(i, j, k)*mp_tau
 
                     v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + m_rho
                     IF (tau_f) v_xc_tau(1)%array(i, j, k) = &
                        v_xc_tau(1)%array(i, j, k) + m_tau
                     IF (laplace_f) v_laplace(1)%array(i, j, k) = &
                        v_laplace(1)%array(i, j, k) + m_laplace_rho
 
                     ! xc_pw_divergence ADDS div(field), and g_xc = u - div(v)
                     v_drho_r(1, 1)%array(i, j, k) = &
                        -(2.0_dp*drho(1)%array(i, j, k)*m_gamma &
                          + 4.0_dp*drho1(1)%array(i, j, k)*m_b)
                     v_drho_r(2, 1)%array(i, j, k) = &
                        -(2.0_dp*drho(2)%array(i, j, k)*m_gamma &
                          + 4.0_dp*drho1(2)%array(i, j, k)*m_b)
                     v_drho_r(3, 1)%array(i, j, k) = &
                        -(2.0_dp*drho(3)%array(i, j, k)*m_gamma &
                          + 4.0_dp*drho1(3)%array(i, j, k)*m_b)
                  END DO
               END DO
            END DO
 
            IF (my_gapw) THEN
               DO idir = 1, 3
                  vxg(idir, :, :, 1) = -v_drho_r(idir, 1)%array(:, :, 1)
               END DO
            ELSE
               CALL xc_pw_divergence(xc_deriv_method_id, v_drho_r(:, 1), tmp_g, vxc_g, v_xc(1))
            END IF
 
            IF (laplace_f) THEN
               DO ispin = 1, nspins
                  CALL xc_pw_laplace(v_laplace(ispin), pw_pool, xc_deriv_method_id)
                  CALL pw_axpy(v_laplace(ispin), v_xc(ispin))
                  CALL deallocate_pw(v_laplace(ispin), pw_pool)
               END DO
               DEALLOCATE (v_laplace)
            END IF
            DEALLOCATE (zero_f)
 
         ELSE IF (.NOT. gradient_f) THEN
            IF (ASSOCIATED(e_rrr)) THEN
!$OMP          PARALLEL DO PRIVATE(k,j,i) DEFAULT(NONE) SHARED(bo,v_xc,e_rrr,rho1) COLLAPSE(3)
               DO k = bo(1, 3), bo(2, 3)
                  DO j = bo(1, 2), bo(2, 2)
                     DO i = bo(1, 1), bo(2, 1)
                        v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + &
                                                 e_rrr(i, j, k)*rho1(i, j, k)**2
                     END DO
                  END DO
               END DO
            END IF
         ELSE
!$OMP       PARALLEL DO PRIVATE(k,j,i,g1,g11,uu,aa,bb) DEFAULT(NONE) &
!$OMP       SHARED(bo,v_xc,v_drho_r,rho1,dr1dr,dr1dr1,drho,drho1, &
!$OMP              e_rrr,e_rrg,e_rgg,e_ggg,e_rg,e_gg) COLLAPSE(3)
            DO k = bo(1, 3), bo(2, 3)
               DO j = bo(1, 2), bo(2, 2)
                  DO i = bo(1, 1), bo(2, 1)
                     g1 = 2.0_dp*dr1dr(i, j, k)
                     g11 = 2.0_dp*dr1dr1(i, j, k)
 
                     uu = e_rrr(i, j, k)*rho1(i, j, k)**2 &
                          + 2.0_dp*e_rrg(i, j, k)*rho1(i, j, k)*g1 &
                          + e_rgg(i, j, k)*g1**2 &
                          + e_rg(i, j, k)*g11
                     aa = e_rrg(i, j, k)*rho1(i, j, k)**2 &
                          + 2.0_dp*e_rgg(i, j, k)*rho1(i, j, k)*g1 &
                          + e_ggg(i, j, k)*g1**2 &
                          + e_gg(i, j, k)*g11
                     bb = e_rg(i, j, k)*rho1(i, j, k) + e_gg(i, j, k)*g1
 
                     v_xc(1)%array(i, j, k) = v_xc(1)%array(i, j, k) + uu
                     ! xc_pw_divergence ADDS div(field), and g_xc = u - div(v),
                     ! so the field handed over is -v
                     v_drho_r(1, 1)%array(i, j, k) = -(2.0_dp*drho(1)%array(i, j, k)*aa &
                                                       + 4.0_dp*drho1(1)%array(i, j, k)*bb)
                     v_drho_r(2, 1)%array(i, j, k) = -(2.0_dp*drho(2)%array(i, j, k)*aa &
                                                       + 4.0_dp*drho1(2)%array(i, j, k)*bb)
                     v_drho_r(3, 1)%array(i, j, k) = -(2.0_dp*drho(3)%array(i, j, k)*aa &
                                                       + 4.0_dp*drho1(3)%array(i, j, k)*bb)
                  END DO
               END DO
            END DO
 
            IF (my_gapw) THEN
               DO idir = 1, 3
                  vxg(idir, :, :, 1) = -v_drho_r(idir, 1)%array(:, :, 1)
               END DO
            ELSE
               CALL xc_pw_divergence(xc_deriv_method_id, v_drho_r(:, 1), tmp_g, vxc_g, v_xc(1))
            END IF
         END IF
 
      END IF
 
      IF (gradient_f) THEN
 
         DO ispin = 1, nspins
            CALL deallocate_pw(v_drho(ispin), pw_pool)
            DO idir = 1, 3
               CALL deallocate_pw(v_drho_r(idir, ispin), pw_pool)
            END DO
         END DO
         DEALLOCATE (v_drho, v_drho_r)
 
      END IF
 
      IF (ASSOCIATED(tmp_g%pw_grid) .AND. ASSOCIATED(pw_pool)) THEN
         CALL pw_pool%give_back_pw(tmp_g)
      END IF
 
      IF (ASSOCIATED(vxc_g%pw_grid) .AND. ASSOCIATED(pw_pool)) THEN
         CALL pw_pool%give_back_pw(vxc_g)
      END IF
 
      CALL timestop(handle)
   END SUBROUTINE xc_calc_3rd_deriv_analytical
 
! **************************************************************************************************
!> \brief allocates grids using pw_pool (if associated) or with bounds
!> \param pw ...
!> \param pw_pool ...
!> \param bo ...
! **************************************************************************************************
   SUBROUTINE allocate_pw(pw, pw_pool, bo)
      TYPE(pw_r3d_rs_type), INTENT(OUT)                         :: pw
      TYPE(pw_pool_type), INTENT(IN), POINTER            :: pw_pool
      INTEGER, DIMENSION(2, 3), INTENT(IN)               :: bo
 
      IF (ASSOCIATED(pw_pool)) THEN
         CALL pw_pool%create_pw(pw)
         CALL pw_zero(pw)
      ELSE
         ALLOCATE (pw%array(bo(1, 1):bo(2, 1), bo(1, 2):bo(2, 2), bo(1, 3):bo(2, 3)))
         pw%array = 0.0_dp
      END IF
 
   END SUBROUTINE allocate_pw
 
! **************************************************************************************************
!> \brief deallocates grid allocated with allocate_pw
!> \param pw ...
!> \param pw_pool ...
! **************************************************************************************************
   SUBROUTINE deallocate_pw(pw, pw_pool)
      TYPE(pw_r3d_rs_type), INTENT(INOUT)                       :: pw
      TYPE(pw_pool_type), INTENT(IN), POINTER            :: pw_pool
 
      IF (ASSOCIATED(pw_pool)) THEN
         CALL pw_pool%give_back_pw(pw)
      ELSE
         CALL pw%release()
      END IF
 
   END SUBROUTINE deallocate_pw
 
! **************************************************************************************************
!> \brief updates virial from first derivative w.r.t. norm_drho
!> \param virial_pw ...
!> \param drho ...
!> \param drho1 ...
!> \param deriv_data ...
!> \param virial_xc ...
! **************************************************************************************************
   SUBROUTINE virial_drho_drho1(virial_pw, drho, drho1, deriv_data, virial_xc)
      TYPE(pw_r3d_rs_type), INTENT(IN)                   :: virial_pw
      TYPE(cp_3d_r_cp_type), DIMENSION(3), INTENT(IN)    :: drho, drho1
      REAL(kind=dp), DIMENSION(:, :, :), INTENT(IN)      :: deriv_data
      REAL(kind=dp), DIMENSION(3, 3), INTENT(INOUT)      :: virial_xc
 
      INTEGER                                            :: idir, jdir
      REAL(kind=dp)                                      :: tmp
 
      DO idir = 1, 3
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(drho,idir,virial_pw,deriv_data)
         virial_pw%array(:, :, :) = drho(idir)%array(:, :, :)*deriv_data(:, :, :)
!$OMP END PARALLEL WORKSHARE
         DO jdir = 1, 3
            tmp = virial_pw%pw_grid%dvol*accurate_dot_product(virial_pw%array(:, :, :), &
                                                              drho1(jdir)%array(:, :, :))
            virial_xc(jdir, idir) = virial_xc(jdir, idir) + tmp
            virial_xc(idir, jdir) = virial_xc(idir, jdir) + tmp
         END DO
      END DO
 
   END SUBROUTINE virial_drho_drho1
 
! **************************************************************************************************
!> \brief Adds virial contribution from second order potential parts
!> \param virial_pw ...
!> \param drho ...
!> \param v_drho ...
!> \param virial_xc ...
! **************************************************************************************************
   SUBROUTINE virial_drho_drho(virial_pw, drho, v_drho, virial_xc)
      TYPE(pw_r3d_rs_type), INTENT(IN)                   :: virial_pw
      TYPE(cp_3d_r_cp_type), DIMENSION(3), INTENT(IN)    :: drho
      TYPE(pw_r3d_rs_type), INTENT(IN)                   :: v_drho
      REAL(kind=dp), DIMENSION(3, 3), INTENT(INOUT)      :: virial_xc
 
      INTEGER                                            :: idir, jdir
      REAL(kind=dp)                                      :: tmp
 
      DO idir = 1, 3
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(drho,idir,v_drho,virial_pw)
         virial_pw%array(:, :, :) = drho(idir)%array(:, :, :)*v_drho%array(:, :, :)
!$OMP END PARALLEL WORKSHARE
         DO jdir = 1, idir
            tmp = -virial_pw%pw_grid%dvol*accurate_dot_product(virial_pw%array(:, :, :), &
                                                               drho(jdir)%array(:, :, :))
            virial_xc(jdir, idir) = virial_xc(jdir, idir) + tmp
            virial_xc(idir, jdir) = virial_xc(jdir, idir)
         END DO
      END DO
 
   END SUBROUTINE virial_drho_drho
 
! **************************************************************************************************
!> \brief ...
!> \param rho_r ...
!> \param pw_pool ...
!> \param virial_xc ...
!> \param deriv_data ...
! **************************************************************************************************
   SUBROUTINE virial_laplace(rho_r, pw_pool, virial_xc, deriv_data)
      TYPE(pw_r3d_rs_type), TARGET                       :: rho_r
      TYPE(pw_pool_type), POINTER, INTENT(IN)            :: pw_pool
      REAL(kind=dp), DIMENSION(3, 3), INTENT(INOUT)      :: virial_xc
      REAL(kind=dp), DIMENSION(:, :, :), INTENT(IN)      :: deriv_data
 
      CHARACTER(len=*), PARAMETER                        :: routinen = 'virial_laplace'
 
      INTEGER                                            :: handle, idir, jdir
      TYPE(pw_r3d_rs_type), POINTER                      :: virial_pw
      TYPE(pw_c1d_gs_type), POINTER                      :: tmp_g, rho_g
      INTEGER, DIMENSION(3) :: my_deriv
 
      CALL timeset(routinen, handle)
 
      NULLIFY (virial_pw, tmp_g, rho_g)
      ALLOCATE (virial_pw, tmp_g, rho_g)
      CALL pw_pool%create_pw(virial_pw)
      CALL pw_pool%create_pw(tmp_g)
      CALL pw_pool%create_pw(rho_g)
      CALL pw_zero(virial_pw)
      CALL pw_transfer(rho_r, rho_g)
      DO idir = 1, 3
         DO jdir = idir, 3
            CALL pw_copy(rho_g, tmp_g)
 
            my_deriv = 0
            my_deriv(idir) = 1
            my_deriv(jdir) = my_deriv(jdir) + 1
 
            CALL pw_derive(tmp_g, my_deriv)
            CALL pw_transfer(tmp_g, virial_pw)
            virial_xc(idir, jdir) = virial_xc(idir, jdir) - 2.0_dp*virial_pw%pw_grid%dvol* &
                                    accurate_dot_product(virial_pw%array(:, :, :), &
                                                         deriv_data(:, :, :))
            virial_xc(jdir, idir) = virial_xc(idir, jdir)
         END DO
      END DO
      CALL pw_pool%give_back_pw(virial_pw)
      CALL pw_pool%give_back_pw(tmp_g)
      CALL pw_pool%give_back_pw(rho_g)
      DEALLOCATE (virial_pw, tmp_g, rho_g)
 
      CALL timestop(handle)
 
   END SUBROUTINE virial_laplace
 
! **************************************************************************************************
!> \brief Prepare objects for the calculation of the 2nd derivatives of the density functional.
!>      The calculation must then be performed with xc_calc_2nd_deriv.
!> \param deriv_set object containing the XC derivatives (out)
!> \param rho_set object that will contain the density at which the
!>        derivatives were calculated
!> \param rho_r the place where you evaluate the derivative
!> \param pw_pool the pool for the grids
!> \param weights integration weights
!> \param xc_section which functional should be used and how to calculate it
!> \param tau_r kinetic energy density in real space
! **************************************************************************************************
   SUBROUTINE xc_prep_2nd_deriv(deriv_set, &
                                rho_set, rho_r, pw_pool, weights, xc_section, tau_r)
 
      TYPE(xc_derivative_set_type)                       :: deriv_set
      TYPE(xc_rho_set_type)                              :: rho_set
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r
      TYPE(pw_pool_type), POINTER                        :: pw_pool
      TYPE(pw_r3d_rs_type), POINTER                      :: weights
      TYPE(section_vals_type), POINTER                   :: xc_section
      TYPE(pw_r3d_rs_type), DIMENSION(:), &
         OPTIONAL, POINTER                               :: tau_r
 
      CHARACTER(len=*), PARAMETER                        :: routinen = 'xc_prep_2nd_deriv'
 
      INTEGER                                            :: handle, nspins
      LOGICAL                                            :: lsd
      TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER               :: rho_g
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER :: tau
 
      CALL timeset(routinen, handle)
 
      cpassert(ASSOCIATED(xc_section))
      cpassert(ASSOCIATED(pw_pool))
 
      IF (xc_section_uses_gauxc(xc_section)) THEN
         CALL cp_abort(__location__, gauxc_high_deriv_message)
      END IF
 
      nspins = SIZE(rho_r)
      lsd = (nspins /= 1)
 
      NULLIFY (rho_g, tau)
      IF (PRESENT(tau_r)) tau => tau_r
 
      IF (section_get_lval(xc_section, "2ND_DERIV_ANALYTICAL")) THEN
         CALL xc_rho_set_and_dset_create(rho_set, deriv_set, 2, &
                                         rho_r, rho_g, tau, xc_section, pw_pool, weights, &
                                         calc_potential=.true.)
      ELSE
         CALL xc_rho_set_and_dset_create(rho_set, deriv_set, 1, &
                                         rho_r, rho_g, tau, xc_section, pw_pool, weights, &
                                         calc_potential=.true.)
      END IF
 
      CALL timestop(handle)
 
   END SUBROUTINE xc_prep_2nd_deriv
 
! **************************************************************************************************
!> \brief Prepare deriv_set for the calculation of the 3rd derivatives of the density functional.
!>      The calculation must then be performed with xc_calc_3rd_deriv.
!> \param deriv_set object containing the XC derivatives (out)
!> \param rho_set object that will contain the density at which the
!>        derivatives were calculated
!> \param rho_r the place where you evaluate the derivative
!> \param pw_pool the pool for the grids
!> \param weights integration weights
!> \param xc_section which functional should be used and how to calculate it
!> \param tau_r kinetic energy density in real space
!> \param do_sf Flag to activate the noncollinear kernel for spin flip calculations
!> \par History
!>    * 07.2024 Created [LHS]
! **************************************************************************************************
   SUBROUTINE xc_prep_3rd_deriv(deriv_set, rho_set, rho_r, pw_pool, weights, &
                                xc_section, tau_r, do_sf)
 
      TYPE(xc_derivative_set_type)                       :: deriv_set
      TYPE(xc_rho_set_type)                              :: rho_set
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r
      TYPE(pw_pool_type), POINTER                        :: pw_pool
      TYPE(pw_r3d_rs_type), POINTER                      :: weights
      TYPE(section_vals_type), POINTER                   :: xc_section
      TYPE(pw_r3d_rs_type), DIMENSION(:), &
         OPTIONAL, POINTER                               :: tau_r
      LOGICAL, OPTIONAL                                  :: do_sf
 
      CHARACTER(len=*), PARAMETER                        :: routinen = 'xc_prep_3rd_deriv'
 
      INTEGER                                            :: handle, nspins
      LOGICAL                                            :: lsd, my_do_sf
      TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho_g
      TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: tau
 
      CALL timeset(routinen, handle)
 
      cpassert(ASSOCIATED(xc_section))
      cpassert(ASSOCIATED(pw_pool))
 
      IF (xc_section_uses_gauxc(xc_section)) THEN
         CALL cp_abort(__location__, gauxc_high_deriv_message)
      END IF
 
      nspins = SIZE(rho_r)
      lsd = (nspins /= 1)
 
      NULLIFY (rho_g, tau)
      IF (PRESENT(tau_r)) tau => tau_r
 
      my_do_sf = .false.
      IF (PRESENT(do_sf)) my_do_sf = do_sf
 
      IF (do_sf) THEN
         CALL xc_rho_set_and_dset_create(rho_set, deriv_set, 2, &
                                         rho_r, rho_g, tau, xc_section, pw_pool, weights, &
                                         calc_potential=.true.)
      ELSE
         CALL xc_rho_set_and_dset_create(rho_set, deriv_set, 3, &
                                         rho_r, rho_g, tau, xc_section, pw_pool, weights, &
                                         calc_potential=.true.)
      END IF
 
      CALL timestop(handle)
 
   END SUBROUTINE xc_prep_3rd_deriv
 
! **************************************************************************************************
!> \brief divides derivatives from deriv_set by norm_drho
!> \param deriv_set ...
!> \param rho_set ...
!> \param lsd ...
! **************************************************************************************************
   SUBROUTINE divide_by_norm_drho(deriv_set, rho_set, lsd)
 
      TYPE(xc_derivative_set_type), INTENT(INOUT)        :: deriv_set
      TYPE(xc_rho_set_type), INTENT(IN)                  :: rho_set
      LOGICAL, INTENT(IN)                                :: lsd
 
      INTEGER, DIMENSION(:), POINTER                     :: split_desc
      INTEGER                                            :: idesc
      INTEGER, DIMENSION(2, 3)                           :: bo
      REAL(kind=dp)                                      :: drho_cutoff
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: norm_drho, norm_drhoa, norm_drhob
      TYPE(cp_3d_r_cp_type), DIMENSION(3)                 :: drho, drhoa, drhob
      TYPE(cp_sll_xc_deriv_type), POINTER                :: pos
      TYPE(xc_derivative_type), POINTER                  :: deriv_att
 
! check for unknown derivatives and divide by norm_drho where necessary
 
      bo = rho_set%local_bounds
      CALL xc_rho_set_get(rho_set, drho_cutoff=drho_cutoff, norm_drho=norm_drho, &
                          norm_drhoa=norm_drhoa, norm_drhob=norm_drhob, &
                          drho=drho, drhoa=drhoa, drhob=drhob, can_return_null=.true.)
 
      pos => deriv_set%derivs
      DO WHILE (cp_sll_xc_deriv_next(pos, el_att=deriv_att))
         CALL xc_derivative_get(deriv_att, split_desc=split_desc)
         DO idesc = 1, SIZE(split_desc)
            SELECT CASE (split_desc(idesc))
            CASE (deriv_norm_drho)
               IF (ASSOCIATED(norm_drho)) THEN
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(deriv_att,norm_drho,drho_cutoff)
                  deriv_att%deriv_data(:, :, :) = deriv_att%deriv_data(:, :, :)/ &
                                                  max(norm_drho(:, :, :), drho_cutoff)
!$OMP END PARALLEL WORKSHARE
               ELSE IF (ASSOCIATED(drho(1)%array)) THEN
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(deriv_att,drho,drho_cutoff)
                  deriv_att%deriv_data(:, :, :) = deriv_att%deriv_data(:, :, :)/ &
                                                  max(sqrt(drho(1)%array(:, :, :)**2 + &
                                                           drho(2)%array(:, :, :)**2 + &
                                                           drho(3)%array(:, :, :)**2), drho_cutoff)
!$OMP END PARALLEL WORKSHARE
               ELSE IF (ASSOCIATED(drhoa(1)%array) .AND. ASSOCIATED(drhob(1)%array)) THEN
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(deriv_att,drhoa,drhob,drho_cutoff)
                  deriv_att%deriv_data(:, :, :) = deriv_att%deriv_data(:, :, :)/ &
                                                  max(sqrt((drhoa(1)%array(:, :, :) + drhob(1)%array(:, :, :))**2 + &
                                                           (drhoa(2)%array(:, :, :) + drhob(2)%array(:, :, :))**2 + &
                                                           (drhoa(3)%array(:, :, :) + drhob(3)%array(:, :, :))**2), drho_cutoff)
!$OMP END PARALLEL WORKSHARE
               ELSE
                  cpabort("Normalization of derivative requires any of norm_drho, drho or drhoa+drhob!")
               END IF
            CASE (deriv_norm_drhoa)
               IF (ASSOCIATED(norm_drhoa)) THEN
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(deriv_att,norm_drhoa,drho_cutoff)
                  deriv_att%deriv_data(:, :, :) = deriv_att%deriv_data(:, :, :)/ &
                                                  max(norm_drhoa(:, :, :), drho_cutoff)
!$OMP END PARALLEL WORKSHARE
               ELSE IF (ASSOCIATED(drhoa(1)%array)) THEN
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(deriv_att,drhoa,drho_cutoff)
                  deriv_att%deriv_data(:, :, :) = deriv_att%deriv_data(:, :, :)/ &
                                                  max(sqrt(drhoa(1)%array(:, :, :)**2 + &
                                                           drhoa(2)%array(:, :, :)**2 + &
                                                           drhoa(3)%array(:, :, :)**2), drho_cutoff)
!$OMP END PARALLEL WORKSHARE
               ELSE
                  cpabort("Normalization of derivative requires any of norm_drhoa or drhoa!")
               END IF
            CASE (deriv_norm_drhob)
               IF (ASSOCIATED(norm_drhob)) THEN
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(deriv_att,norm_drhob,drho_cutoff)
                  deriv_att%deriv_data(:, :, :) = deriv_att%deriv_data(:, :, :)/ &
                                                  max(norm_drhob(:, :, :), drho_cutoff)
!$OMP END PARALLEL WORKSHARE
               ELSE IF (ASSOCIATED(drhob(1)%array)) THEN
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(deriv_att,drhob,drho_cutoff)
                  deriv_att%deriv_data(:, :, :) = deriv_att%deriv_data(:, :, :)/ &
                                                  max(sqrt(drhob(1)%array(:, :, :)**2 + &
                                                           drhob(2)%array(:, :, :)**2 + &
                                                           drhob(3)%array(:, :, :)**2), drho_cutoff)
!$OMP END PARALLEL WORKSHARE
               ELSE
                  cpabort("Normalization of derivative requires any of norm_drhob or drhob!")
               END IF
            CASE (deriv_rho, deriv_tau, deriv_laplace_rho, deriv_gamma)
               ! gamma derivatives need no normalization: unlike norm_drho they
               ! are already the variables LibXC differentiated with respect to
               IF (lsd) THEN
                  cpabort(trim(id_to_desc(split_desc(idesc)))//" not handled in lsd!'")
               END IF
            CASE (deriv_rhoa, deriv_rhob, deriv_tau_a, deriv_tau_b, deriv_laplace_rhoa, deriv_laplace_rhob, &
                  deriv_gamma_aa, deriv_gamma_ab, deriv_gamma_bb)
            CASE default
               cpabort("Unknown derivative id")
            END SELECT
         END DO
      END DO
 
   END SUBROUTINE divide_by_norm_drho
 
! **************************************************************************************************
!> \brief allocates and calculates drho from given spin densities drhoa, drhob
!> \param drho ...
!> \param drhoa ...
!> \param drhob ...
! **************************************************************************************************
   SUBROUTINE calc_drho_from_ab(drho, drhoa, drhob)
      TYPE(cp_3d_r_cp_type), DIMENSION(3), INTENT(OUT)    :: drho
      TYPE(cp_3d_r_cp_type), DIMENSION(3), INTENT(IN)     :: drhoa, drhob
 
      CHARACTER(len=*), PARAMETER                        :: routinen = 'calc_drho_from_ab'
 
      INTEGER                                            :: handle, idir
 
      CALL timeset(routinen, handle)
 
      DO idir = 1, 3
         NULLIFY (drho(idir)%array)
         ALLOCATE (drho(idir)%array(lbound(drhoa(1)%array, 1):ubound(drhoa(1)%array, 1), &
                                    lbound(drhoa(1)%array, 2):ubound(drhoa(1)%array, 2), &
                                    lbound(drhoa(1)%array, 3):ubound(drhoa(1)%array, 3)))
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(drho,drhoa,drhob,idir)
         drho(idir)%array(:, :, :) = drhoa(idir)%array(:, :, :) + drhob(idir)%array(:, :, :)
!$OMP END PARALLEL WORKSHARE
      END DO
 
      CALL timestop(handle)
 
   END SUBROUTINE calc_drho_from_ab
 
! **************************************************************************************************
!> \brief allocates and calculates drho from given spin densities drhoa, drhob
!> \param drho ...
!> \param drhoa ...
!> \param drhob ...
! **************************************************************************************************
   SUBROUTINE calc_drho_from_a(drho, drhoa)
      TYPE(cp_3d_r_cp_type), DIMENSION(3), INTENT(OUT)    :: drho
      TYPE(cp_3d_r_cp_type), DIMENSION(3), INTENT(IN)     :: drhoa
 
      CHARACTER(len=*), PARAMETER                        :: routinen = 'calc_drho_from_a'
 
      INTEGER                                            :: handle, idir
 
      CALL timeset(routinen, handle)
 
      DO idir = 1, 3
         NULLIFY (drho(idir)%array)
         ALLOCATE (drho(idir)%array(lbound(drhoa(1)%array, 1):ubound(drhoa(1)%array, 1), &
                                    lbound(drhoa(1)%array, 2):ubound(drhoa(1)%array, 2), &
                                    lbound(drhoa(1)%array, 3):ubound(drhoa(1)%array, 3)))
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(drho,drhoa,idir)
         drho(idir)%array(:, :, :) = drhoa(idir)%array(:, :, :)
!$OMP END PARALLEL WORKSHARE
      END DO
 
      CALL timestop(handle)
 
   END SUBROUTINE calc_drho_from_a
 
! **************************************************************************************************
!> \brief allocates and calculates dot products of two density gradients
!> \param dr1dr ...
!> \param drho ...
!> \param drho1 ...
! **************************************************************************************************
   SUBROUTINE prepare_dr1dr(dr1dr, drho, drho1)
      REAL(kind=dp), ALLOCATABLE, DIMENSION(:, :, :), &
         INTENT(OUT)                                     :: dr1dr
      TYPE(cp_3d_r_cp_type), DIMENSION(3), INTENT(IN)     :: drho, drho1
 
      CHARACTER(len=*), PARAMETER                        :: routinen = 'prepare_dr1dr'
 
      INTEGER                                            :: handle, idir
 
      CALL timeset(routinen, handle)
 
      ALLOCATE (dr1dr(lbound(drho(1)%array, 1):ubound(drho(1)%array, 1), &
                      lbound(drho(1)%array, 2):ubound(drho(1)%array, 2), &
                      lbound(drho(1)%array, 3):ubound(drho(1)%array, 3)))
 
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(dr1dr,drho,drho1)
      dr1dr(:, :, :) = drho(1)%array(:, :, :)*drho1(1)%array(:, :, :)
!$OMP END PARALLEL WORKSHARE
      DO idir = 2, 3
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(dr1dr,drho,drho1,idir)
         dr1dr(:, :, :) = dr1dr(:, :, :) + drho(idir)%array(:, :, :)*drho1(idir)%array(:, :, :)
!$OMP END PARALLEL WORKSHARE
      END DO
 
      CALL timestop(handle)
 
   END SUBROUTINE prepare_dr1dr
 
! **************************************************************************************************
!> \brief allocates and calculates dot product of two densities for triplets
!> \param dr1dr ...
!> \param drhoa ...
!> \param drhob ...
!> \param drho1a ...
!> \param drho1b ...
!> \param fac ...
! **************************************************************************************************
   SUBROUTINE prepare_dr1dr_ab(dr1dr, drhoa, drhob, drho1a, drho1b, fac)
      REAL(kind=dp), ALLOCATABLE, DIMENSION(:, :, :), &
         INTENT(OUT)                                     :: dr1dr
      TYPE(cp_3d_r_cp_type), DIMENSION(3), INTENT(IN)    :: drhoa, drhob, drho1a, drho1b
      REAL(kind=dp), INTENT(IN)                          :: fac
 
      CHARACTER(len=*), PARAMETER                        :: routinen = 'prepare_dr1dr_ab'
 
      INTEGER                                            :: handle, idir
 
      CALL timeset(routinen, handle)
 
      ALLOCATE (dr1dr(lbound(drhoa(1)%array, 1):ubound(drhoa(1)%array, 1), &
                      lbound(drhoa(1)%array, 2):ubound(drhoa(1)%array, 2), &
                      lbound(drhoa(1)%array, 3):ubound(drhoa(1)%array, 3)))
 
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(fac,dr1dr,drho1a,drho1b,drhoa,drhob)
      dr1dr(:, :, :) = drhoa(1)%array(:, :, :)*(drho1a(1)%array(:, :, :) + &
                                                fac*drho1b(1)%array(:, :, :)) + &
                       drhob(1)%array(:, :, :)*(fac*drho1a(1)%array(:, :, :) + &
                                                drho1b(1)%array(:, :, :))
!$OMP END PARALLEL WORKSHARE
      DO idir = 2, 3
!$OMP PARALLEL WORKSHARE DEFAULT(NONE) SHARED(fac,dr1dr,drho1a,drho1b,drhoa,drhob,idir)
         dr1dr(:, :, :) = dr1dr(:, :, :) + &
                          drhoa(idir)%array(:, :, :)*(drho1a(idir)%array(:, :, :) + &
                                                      fac*drho1b(idir)%array(:, :, :)) + &
                          drhob(idir)%array(:, :, :)*(fac*drho1a(idir)%array(:, :, :) + &
                                                      drho1b(idir)%array(:, :, :))
!$OMP END PARALLEL WORKSHARE
      END DO
 
      CALL timestop(handle)
 
   END SUBROUTINE prepare_dr1dr_ab
 
! **************************************************************************************************
!> \brief checks for gradients
!> \param deriv_set ...
!> \param lsd ...
!> \param gradient_f ...
!> \param tau_f ...
!> \param laplace_f ...
! **************************************************************************************************
   SUBROUTINE check_for_derivatives(deriv_set, lsd, rho_f, gradient_f, tau_f, laplace_f)
      TYPE(xc_derivative_set_type), INTENT(IN)           :: deriv_set
      LOGICAL, INTENT(IN)                                :: lsd
      LOGICAL, INTENT(OUT)                               :: rho_f, gradient_f, tau_f, laplace_f
 
      CHARACTER(len=*), PARAMETER :: routinen = 'check_for_derivatives'
 
      INTEGER                                            :: handle, iorder, order
      INTEGER, DIMENSION(:), POINTER                     :: split_desc
      TYPE(cp_sll_xc_deriv_type), POINTER                :: pos
      TYPE(xc_derivative_type), POINTER                  :: deriv_att
 
      CALL timeset(routinen, handle)
 
      rho_f = .false.
      gradient_f = .false.
      tau_f = .false.
      laplace_f = .false.
      ! check for unknown derivatives
      pos => deriv_set%derivs
      DO WHILE (cp_sll_xc_deriv_next(pos, el_att=deriv_att))
         CALL xc_derivative_get(deriv_att, order=order, &
                                split_desc=split_desc)
         IF (lsd) THEN
            DO iorder = 1, size(split_desc)
               SELECT CASE (split_desc(iorder))
               CASE (deriv_rhoa, deriv_rhob)
                  rho_f = .true.
               CASE (deriv_norm_drho, deriv_norm_drhoa, deriv_norm_drhob, &
                     deriv_gamma_aa, deriv_gamma_ab, deriv_gamma_bb)
                  gradient_f = .true.
               CASE (deriv_tau_a, deriv_tau_b)
                  tau_f = .true.
               CASE (deriv_laplace_rhoa, deriv_laplace_rhob)
                  laplace_f = .true.
               CASE (deriv_rho, deriv_tau, deriv_laplace_rho)
                  cpabort("Derivative not handled in lsd!")
               CASE default
                  cpabort("Unknown derivative id")
               END SELECT
            END DO
         ELSE
            DO iorder = 1, size(split_desc)
               SELECT CASE (split_desc(iorder))
               CASE (deriv_rho)
                  rho_f = .true.
               CASE (deriv_tau)
                  tau_f = .true.
               CASE (deriv_norm_drho, deriv_gamma)
                  gradient_f = .true.
               CASE (deriv_laplace_rho)
                  laplace_f = .true.
               CASE default
                  cpabort("Unknown derivative id")
               END SELECT
            END DO
         END IF
      END DO
 
      CALL timestop(handle)
 
   END SUBROUTINE check_for_derivatives
 
END MODULE xc