!--------------------------------------------------------------------------------------------------!
!   CP2K: A general program to perform molecular dynamics simulations                              !
!   Copyright (C) 2000 - 2018  CP2K developers group                                               !
!--------------------------------------------------------------------------------------------------!

! **************************************************************************************************
!> \brief Calculates the density_scaled Lyp functional when used in adiabatic hybrids.
!>      The energy is given as
!>
!>        Ec = 2*lambda*Ec(rho/lambda) + lambda^2*d/dlambda(Ec(rho/lambda)),
!>
!>      where rho/lambda is the scaled density
!> \par History
!>      1.2008 created [mguidon]
!> \author Manuel Guidon
! **************************************************************************************************
MODULE xc_lyp_adiabatic
   USE bibliography,                    ONLY: Lee1988,&
                                              cite_reference
   USE input_section_types,             ONLY: section_vals_type,&
                                              section_vals_val_get
   USE kinds,                           ONLY: dp
   USE mathconstants,                   ONLY: pi
   USE xc_derivative_set_types,         ONLY: xc_derivative_set_type,&
                                              xc_dset_get_derivative
   USE xc_derivative_types,             ONLY: xc_derivative_get,&
                                              xc_derivative_type
   USE xc_rho_cflags_types,             ONLY: xc_rho_cflags_type
   USE xc_rho_set_types,                ONLY: xc_rho_set_get,&
                                              xc_rho_set_type
#include "../base/base_uses.f90"

   IMPLICIT NONE
   PRIVATE

   LOGICAL, PRIVATE, PARAMETER :: debug_this_module = .TRUE.
   CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'xc_lyp_adiabatic'
   REAL(kind=dp), PARAMETER, PRIVATE :: a = 0.04918_dp, b = 0.132_dp, &
                                        c = 0.2533_dp, d = 0.349_dp

   PUBLIC :: lyp_adiabatic_lda_info, lyp_adiabatic_lsd_info, lyp_adiabatic_lda_eval, lyp_adiabatic_lsd_eval

CONTAINS

! **************************************************************************************************
!> \brief return various information on the functional
!> \param reference string with the reference of the actual functional
!> \param shortform string with the shortform of the functional name
!> \param needs the components needed by this functional are set to
!>        true (does not set the unneeded components to false)
!> \param max_deriv ...
!> \par History
!>      01.2008 created [mguidon]
!> \author Manuel Guidon
! **************************************************************************************************
   SUBROUTINE lyp_adiabatic_lda_info(reference, shortform, needs, max_deriv)
      CHARACTER(LEN=*), INTENT(OUT), OPTIONAL            :: reference, shortform
      TYPE(xc_rho_cflags_type), INTENT(inout), OPTIONAL  :: needs
      INTEGER, INTENT(out), OPTIONAL                     :: max_deriv

      CHARACTER(len=*), PARAMETER :: routineN = 'lyp_adiabatic_lda_info', &
         routineP = moduleN//':'//routineN

      IF (PRESENT(reference)) THEN
         reference = "C. Lee, W. Yang, R.G. Parr, Phys. Rev. B, 37, 785 (1988) {LDA version}"
      END IF
      IF (PRESENT(shortform)) THEN
         shortform = "Lee-Yang-Parr correlation energy functional (LDA)"
      END IF
      IF (PRESENT(needs)) THEN
         needs%rho = .TRUE.
         needs%rho_1_3 = .TRUE.
         needs%norm_drho = .TRUE.
      END IF
      IF (PRESENT(max_deriv)) max_deriv = 1

   END SUBROUTINE lyp_adiabatic_lda_info

! **************************************************************************************************
!> \brief return various information on the functional
!> \param reference string with the reference of the actual functional
!> \param shortform string with the shortform of the functional name
!> \param needs the components needed by this functional are set to
!>        true (does not set the unneeded components to false)
!> \param max_deriv ...
!> \par History
!>      01.2008 created [mguidon]
!> \author Manuel Guidon
! **************************************************************************************************
   SUBROUTINE lyp_adiabatic_lsd_info(reference, shortform, needs, max_deriv)
      CHARACTER(LEN=*), INTENT(OUT), OPTIONAL            :: reference, shortform
      TYPE(xc_rho_cflags_type), INTENT(inout), OPTIONAL  :: needs
      INTEGER, INTENT(out), OPTIONAL                     :: max_deriv

      CHARACTER(len=*), PARAMETER :: routineN = 'lyp_adiabatic_lsd_info', &
         routineP = moduleN//':'//routineN

      IF (PRESENT(reference)) THEN
         reference = "C. Lee, W. Yang, R.G. Parr, Phys. Rev. B, 37, 785 (1988) {LSD version}"
      END IF
      IF (PRESENT(shortform)) THEN
         shortform = "Lee-Yang-Parr correlation energy functional (LSD)"
      END IF
      IF (PRESENT(needs)) THEN
         needs%rho_spin = .TRUE.
         needs%norm_drho_spin = .TRUE.
         needs%norm_drho = .TRUE.
      END IF
      IF (PRESENT(max_deriv)) max_deriv = 1
   END SUBROUTINE lyp_adiabatic_lsd_info

! **************************************************************************************************
!> \brief ...
!> \param rho_set ...
!> \param deriv_set ...
!> \param grad_deriv ...
!> \param lyp_adiabatic_params ...
!> \par History
!>      01.2008 created [mguidon]
!> \author Manuel Guidon
! **************************************************************************************************
   SUBROUTINE lyp_adiabatic_lda_eval(rho_set, deriv_set, grad_deriv, lyp_adiabatic_params)
      TYPE(xc_rho_set_type), POINTER                     :: rho_set
      TYPE(xc_derivative_set_type), POINTER              :: deriv_set
      INTEGER, INTENT(in)                                :: grad_deriv
      TYPE(section_vals_type), POINTER                   :: lyp_adiabatic_params

      CHARACTER(len=*), PARAMETER :: routineN = 'lyp_adiabatic_lda_eval', &
         routineP = moduleN//':'//routineN

      INTEGER                                            :: handle, npoints
      INTEGER, DIMENSION(:, :), POINTER                  :: bo
      REAL(kind=dp)                                      :: epsilon_norm_drho, epsilon_rho, lambda
      REAL(kind=dp), DIMENSION(:, :, :), POINTER         :: dummy, e_0, e_ndrho, e_rho, norm_drho, &
                                                            rho, rho_1_3
      TYPE(xc_derivative_type), POINTER                  :: deriv

      CALL timeset(routineN, handle)

      NULLIFY (bo)

      CALL section_vals_val_get(lyp_adiabatic_params, "LAMBDA", r_val=lambda)
      CALL cite_reference(Lee1988)

      CPASSERT(ASSOCIATED(rho_set))
      CPASSERT(rho_set%ref_count > 0)
      CPASSERT(ASSOCIATED(deriv_set))
      CPASSERT(deriv_set%ref_count > 0)
      CALL xc_rho_set_get(rho_set, rho_1_3=rho_1_3, rho=rho, &
                          norm_drho=norm_drho, local_bounds=bo, rho_cutoff=epsilon_rho, &
                          drho_cutoff=epsilon_norm_drho)
      npoints = (bo(2, 1)-bo(1, 1)+1)*(bo(2, 2)-bo(1, 2)+1)*(bo(2, 3)-bo(1, 3)+1)

      dummy => rho

      e_0 => dummy
      e_rho => dummy
      e_ndrho => dummy

      IF (grad_deriv >= 0) THEN
         deriv => xc_dset_get_derivative(deriv_set, "", &
                                         allocate_deriv=.TRUE.)
         CALL xc_derivative_get(deriv, deriv_data=e_0)
      END IF
      IF (grad_deriv >= 1 .OR. grad_deriv == -1) THEN
         deriv => xc_dset_get_derivative(deriv_set, "(rho)", &
                                         allocate_deriv=.TRUE.)
         CALL xc_derivative_get(deriv, deriv_data=e_rho)
         deriv => xc_dset_get_derivative(deriv_set, "(norm_drho)", &
                                         allocate_deriv=.TRUE.)
         CALL xc_derivative_get(deriv, deriv_data=e_ndrho)
      END IF
      IF (grad_deriv > 1 .OR. grad_deriv < -1) THEN
         CPABORT("derivatives bigger than 1 not implemented")
      END IF

!$OMP     PARALLEL DEFAULT(NONE) &
!$OMP              SHARED(rho, norm_drho, e_0, e_rho, e_ndrho) &
!$OMP              SHARED(grad_deriv, npoints) &
!$OMP              SHARED(epsilon_rho, lambda)

      CALL lyp_adiabatic_lda_calc(rho=rho, norm_drho=norm_drho, &
                                  e_0=e_0, e_rho=e_rho, e_ndrho=e_ndrho, &
                                  grad_deriv=grad_deriv, &
                                  npoints=npoints, epsilon_rho=epsilon_rho, lambda=lambda)

!$OMP     END PARALLEL

      NULLIFY (dummy)

      CALL timestop(handle)
   END SUBROUTINE lyp_adiabatic_lda_eval

! **************************************************************************************************
!> \brief ...
!> \param rho ...
!> \param norm_drho ...
!> \param e_0 ...
!> \param e_rho ...
!> \param e_ndrho ...
!> \param grad_deriv ...
!> \param npoints ...
!> \param epsilon_rho ...
!> \param lambda ...
!> \par History
!>      01.2008 created [mguidon]
!> \author Manuel Guidon
! **************************************************************************************************
   SUBROUTINE lyp_adiabatic_lda_calc(rho, norm_drho, &
                                     e_0, e_rho, e_ndrho, &
                                     grad_deriv, npoints, epsilon_rho, lambda)
      INTEGER, INTENT(in)                                :: npoints, grad_deriv
      REAL(kind=dp), DIMENSION(1:npoints), INTENT(inout) :: e_ndrho, e_rho, e_0
      REAL(kind=dp), DIMENSION(1:npoints), INTENT(in)    :: norm_drho, rho
      REAL(kind=dp), INTENT(in)                          :: epsilon_rho, lambda

      CHARACTER(len=*), PARAMETER :: routineN = 'lyp_adiabatic_lda_calc', &
         routineP = moduleN//':'//routineN

      INTEGER                                            :: ii
      REAL(kind=dp) :: cf, my_ndrho, my_rho, t10, t107, t11, t117, t12, t122, t125, t13, t14, t15, &
         t153, t16, t17, t180, t189, t19, t195, t2, t20, t25, t28, t29, t3, t34, t36, t37, t38, &
         t4, t40, t41, t42, t43, t45, t46, t47, t50, t51, t52, t57, t58, t59, t6, t63, t65, t7, &
         t71, t77, t78, t87, t9, t94

      cf = 0.3_dp*(3._dp*pi*pi)**(2._dp/3._dp)

!$OMP     DO

      DO ii = 1, npoints
         my_rho = rho(ii)
         IF (my_rho > epsilon_rho) THEN
            IF (grad_deriv >= 0) THEN
               my_ndrho = norm_drho(ii)
               t2 = d*lambda
               t3 = my_rho**(0.1e1_dp/0.3e1_dp)
               t4 = 0.1e1_dp/t3
               t6 = 0.10e1_dp+t2*t4
               t7 = 0.1e1_dp/t6
               t9 = a*b
               t10 = t9*my_rho
               t11 = c*lambda
               t12 = t11*t4
               t13 = EXP(-t12)
               t14 = t13*t7
               t15 = my_ndrho**2
               t16 = my_rho**2
               t17 = t3**2
               t19 = 0.1e1_dp/t17/t16
               t20 = t15*t19
               t25 = 0.30e1_dp+0.70e1_dp*t12+0.70e1_dp*t2*t4*t7
               t28 = Cf-0.1388888889e-1_dp*t20*t25
               t29 = t14*t28
               t34 = lambda**2
               t36 = t6**2
               t37 = 0.1e1_dp/t36
               t38 = t37*d
               t40 = t9*t17
               t41 = c*t13
               t42 = t7*t28
               t43 = t41*t42
               t45 = t13*t37
               t46 = t28*d
               t47 = t45*t46
               t50 = 0.1e1_dp/t17/my_rho
               t51 = t9*t50
               t52 = c*t4
               t57 = d**2
               t58 = t57*lambda
               t59 = 0.1e1_dp/t17
               t63 = 0.70e1_dp*t52+0.70e1_dp*d*t4*t7-0.70e1_dp*t58*t59*t37
               t65 = t14*t15*t63

               e_0(ii) = e_0(ii)+0.20e1_dp*lambda*(-a*my_rho*t7-t10*t29)+t34*(a*t17 &
                                                                            *t38+t40*t43+t40*t47+0.13888888888888888889e-1_dp*t51* &
                                                                              t65)

            END IF
            IF (grad_deriv >= 1) THEN
               t71 = a*t4
               t77 = lambda*t13
               t78 = t77*t42
               t87 = t16*my_rho
               t94 = 0.1e1_dp/t3/my_rho
               t107 = 0.37037037037037037037e-1_dp*t15/t17/t87*t25-0.1388888889e-1_dp &
                      *t20*(-0.2333333333e1_dp*t11*t94-0.2333333333e1_dp*t2 &
                            *t94*t7+0.23333333333333333333e1_dp*t57*t34*t50*t37)
               t117 = 0.1e1_dp/t36/t6
               t122 = t9*t4
               t125 = c**2
               t153 = 0.1e1_dp/t87
               t180 = 0.1e1_dp/t16
               t189 = 0.2e1_dp/0.3e1_dp*t71*t38+0.2e1_dp/0.3e1_dp*a*t59*t117* &
                      t57*lambda+0.2e1_dp/0.3e1_dp*t122*t43+t9*t59*t125*t78 &
                      /0.3e1_dp+0.2e1_dp/0.3e1_dp*t9*t59*c*t45*t46*lambda+t40 &
                      *t41*t7*t107+0.2e1_dp/0.3e1_dp*t122*t47+0.2e1_dp/0.3e1_dp* &
                      t9*t59*t13*t117*t28*t58+t40*t45*t107*d-0.2314814815e-1_dp &
                      *t9*t19*t65+0.46296296296296296297e-2_dp*t9*t153 &
                      *c*t77*t7*t15*t63+0.46296296296296296297e-2_dp*t9*t153 &
                      *t13*t37*t15*t63*d*lambda+0.13888888888888888889e-1_dp &
                      *t51*t14*t15*(-0.2333333333e1_dp*c*t94-0.2333333333e1_dp* &
                                    d*t94*t7+0.70000000000000000000e1_dp*t57*t50*t37*lambda &
                                    -0.4666666667e1_dp*t57*d*t34*t180*t117)

               e_rho(ii) = e_rho(ii)+0.20e1_dp*lambda*(-a*t7-t71*t38*lambda/0.3e1_dp-t9* &
                                                       t29-t9*t52*t78/0.3e1_dp-t9*t4*t13*t37*t28*t2/0.3e1_dp &
                                                       -t10*t14*t107)+t34*t189
               t195 = t14*my_ndrho*t25

               e_ndrho(ii) = e_ndrho(ii)+0.55555555555555555556e-1_dp*lambda*a*b*t50*t195+t34 &
                             *(-0.2777777778e-1_dp*t9*t180*c*t195-0.2777777778e-1_dp*t9 &
                               *t180*t13*t37*my_ndrho*t25*d+0.27777777777777777778e-1_dp* &
                               t51*t14*my_ndrho*t63)

            END IF
         END IF
      END DO

!$OMP     END DO

   END SUBROUTINE lyp_adiabatic_lda_calc

! **************************************************************************************************
!> \brief ...
!> \param rho_set ...
!> \param deriv_set ...
!> \param grad_deriv ...
!> \param lyp_adiabatic_params ...
!> \par History
!>      01.2008 created [fawzi]
!> \author Manuel Guidon
! **************************************************************************************************
   SUBROUTINE lyp_adiabatic_lsd_eval(rho_set, deriv_set, grad_deriv, lyp_adiabatic_params)
      TYPE(xc_rho_set_type), POINTER                     :: rho_set
      TYPE(xc_derivative_set_type), POINTER              :: deriv_set
      INTEGER, INTENT(in)                                :: grad_deriv
      TYPE(section_vals_type), POINTER                   :: lyp_adiabatic_params

      CHARACTER(len=*), PARAMETER :: routineN = 'lyp_adiabatic_lsd_eval', &
         routineP = moduleN//':'//routineN

      INTEGER                                            :: handle, npoints
      INTEGER, DIMENSION(:, :), POINTER                  :: bo
      REAL(kind=dp)                                      :: epsilon_rho, lambda
      REAL(kind=dp), DIMENSION(:, :, :), POINTER :: dummy, e_0, e_ndr, e_ndr_ndr, e_ndr_ra, &
         e_ndr_rb, e_ndra, e_ndra_ndra, e_ndra_ra, e_ndra_rb, e_ndrb, e_ndrb_ndrb, e_ndrb_ra, &
         e_ndrb_rb, e_ra, e_ra_ra, e_ra_rb, e_rb, e_rb_rb, norm_drho, norm_drhoa, norm_drhob, &
         rhoa, rhob
      TYPE(xc_derivative_type), POINTER                  :: deriv

      CALL timeset(routineN, handle)
      NULLIFY (deriv, bo)

      CALL section_vals_val_get(lyp_adiabatic_params, "LAMBDA", r_val=lambda)
      CALL cite_reference(Lee1988)

      CPASSERT(ASSOCIATED(rho_set))
      CPASSERT(rho_set%ref_count > 0)
      CPASSERT(ASSOCIATED(deriv_set))
      CPASSERT(deriv_set%ref_count > 0)
      CALL xc_rho_set_get(rho_set, &
                          rhoa=rhoa, rhob=rhob, norm_drhoa=norm_drhoa, &
                          norm_drhob=norm_drhob, norm_drho=norm_drho, &
                          rho_cutoff=epsilon_rho, &
                          local_bounds=bo)
      npoints = (bo(2, 1)-bo(1, 1)+1)*(bo(2, 2)-bo(1, 2)+1)*(bo(2, 3)-bo(1, 3)+1)

      dummy => rhoa
      e_0 => dummy
      e_ra => dummy
      e_rb => dummy
      e_ndra_ra => dummy
      e_ndra_rb => dummy
      e_ndrb_ra => dummy
      e_ndrb_rb => dummy
      e_ndr_ndr => dummy
      e_ndra_ndra => dummy
      e_ndrb_ndrb => dummy
      e_ndr => dummy
      e_ndra => dummy
      e_ndrb => dummy
      e_ra_ra => dummy
      e_ra_rb => dummy
      e_rb_rb => dummy
      e_ndr_ra => dummy
      e_ndr_rb => dummy

      IF (grad_deriv >= 0) THEN
         deriv => xc_dset_get_derivative(deriv_set, "", &
                                         allocate_deriv=.TRUE.)
         CALL xc_derivative_get(deriv, deriv_data=e_0)
      END IF
      IF (grad_deriv == 1 .OR. grad_deriv == -1) THEN
         deriv => xc_dset_get_derivative(deriv_set, "(rhoa)", &
                                         allocate_deriv=.TRUE.)
         CALL xc_derivative_get(deriv, deriv_data=e_ra)
         deriv => xc_dset_get_derivative(deriv_set, "(rhob)", &
                                         allocate_deriv=.TRUE.)
         CALL xc_derivative_get(deriv, deriv_data=e_rb)
         deriv => xc_dset_get_derivative(deriv_set, "(norm_drho)", &
                                         allocate_deriv=.TRUE.)
         CALL xc_derivative_get(deriv, deriv_data=e_ndr)
         deriv => xc_dset_get_derivative(deriv_set, "(norm_drhoa)", &
                                         allocate_deriv=.TRUE.)
         CALL xc_derivative_get(deriv, deriv_data=e_ndra)
         deriv => xc_dset_get_derivative(deriv_set, "(norm_drhob)", &
                                         allocate_deriv=.TRUE.)
         CALL xc_derivative_get(deriv, deriv_data=e_ndrb)
      END IF
      IF (grad_deriv > 1 .OR. grad_deriv < -1) THEN
         CPABORT("derivatives bigger than 1 not implemented")
      END IF

!$OMP     PARALLEL DEFAULT(NONE) &
!$OMP              SHARED(rhoa, rhob, norm_drho, norm_drhoa, norm_drhob) &
!$OMP              SHARED(e_0, e_ra, e_rb, e_ndr, e_ndra, e_ndrb) &
!$OMP              SHARED(grad_deriv, npoints) &
!$OMP              SHARED(epsilon_rho, lambda)

      CALL lyp_adiabatic_lsd_calc( &
         rhoa=rhoa, rhob=rhob, norm_drho=norm_drho, norm_drhoa=norm_drhoa, &
         norm_drhob=norm_drhob, e_0=e_0, e_ra=e_ra, e_rb=e_rb, &
         e_ndr=e_ndr, &
         e_ndra=e_ndra, e_ndrb=e_ndrb, &
         grad_deriv=grad_deriv, npoints=npoints, &
         epsilon_rho=epsilon_rho, lambda=lambda)

!$OMP     END PARALLEL

      CALL timestop(handle)
   END SUBROUTINE lyp_adiabatic_lsd_eval

! **************************************************************************************************
!> \brief ...
!> \param rhoa ...
!> \param rhob ...
!> \param norm_drho ...
!> \param norm_drhoa ...
!> \param norm_drhob ...
!> \param e_0 ...
!> \param e_ra ...
!> \param e_rb ...
!> \param e_ndr ...
!> \param e_ndra ...
!> \param e_ndrb ...
!> \param grad_deriv ...
!> \param npoints ...
!> \param epsilon_rho ...
!> \param lambda ...
!> \par History
!>      08.2008 created [mguidon]
!> \author Manuel Guidon
! **************************************************************************************************
   SUBROUTINE lyp_adiabatic_lsd_calc(rhoa, rhob, norm_drho, norm_drhoa, norm_drhob, &
                                     e_0, e_ra, e_rb, &
                                     e_ndr, &
                                     e_ndra, e_ndrb, &
                                     grad_deriv, npoints, epsilon_rho, lambda)
      REAL(kind=dp), DIMENSION(*), INTENT(in)            :: rhoa, rhob, norm_drho, norm_drhoa, &
                                                            norm_drhob
      REAL(kind=dp), DIMENSION(*), INTENT(inout)         :: e_0, e_ra, e_rb, e_ndr, e_ndra, e_ndrb
      INTEGER, INTENT(in)                                :: grad_deriv, npoints
      REAL(kind=dp), INTENT(in)                          :: epsilon_rho, lambda

      CHARACTER(len=*), PARAMETER :: routineN = 'lyp_adiabatic_lsd_calc', &
         routineP = moduleN//':'//routineN

      INTEGER                                            :: ii
      REAL(KIND=dp) :: cf, my_ndrho, my_ndrhoa, my_ndrhob, my_rhoa, my_rhob, t1, t10, t100, t102, &
         t103, t106, t108, t113, t115, t118, t119, t124, t125, t128, t129, t132, t135, t138, t14, &
         t140, t141, t143, t145, t146, t15, t151, t153, t157, t16, t162, t165, t169, t17, t171, &
         t174, t179, t18, t183, t186, t187, t188, t19, t194, t196, t199, t2, t200, t202, t21, &
         t212, t216, t220, t222, t223, t225, t23, t231, t237, t24, t246, t25, t250, t259, t26, &
         t266, t27, t270, t273, t276, t28, t280, t285, t288, t294, t3, t30, t300, t307, t31, t316, &
         t32, t325, t348, t351, t355, t362, t387, t39, t394, t4, t41, t42
      REAL(KIND=dp) :: t421, t46, t47, t48, t49, t5, t51, t55, t58, t6, t62, t63, t65, t67, t7, &
         t73, t74, t76, t77, t78, t80, t83, t84, t85, t86, t87, t9, t90, t91, t94, t95, t96, t97

      cf = 0.3_dp*(3._dp*pi*pi)**(2._dp/3._dp)

!$OMP     DO

      DO ii = 1, npoints
         my_rhoa = MAX(rhoa(ii), 0.0_dp)
         my_rhob = MAX(rhob(ii), 0.0_dp)
         IF (my_rhoa+my_rhob > epsilon_rho) THEN
            my_ndrhoa = norm_drhoa(ii)
            my_ndrhob = norm_drhob(ii)
            my_ndrho = norm_drho(ii)
            IF (grad_deriv >= 0) THEN
               t1 = a*my_rhoa
               t2 = my_rhoa+my_rhob
               t3 = 0.1e1_dp/t2
               t4 = my_rhob*t3
               t5 = d*lambda
               t6 = t2**(0.1e1_dp/0.3e1_dp)
               t7 = 0.1e1_dp/t6
               t9 = 0.10e1_dp+t5*t7
               t10 = 0.1e1_dp/t9
               t14 = a*b
               t15 = c*lambda
               t16 = t15*t7
               t17 = EXP(-t16)
               t18 = t14*t17
               t19 = t2**2
               t21 = t6**2
               t23 = 0.1e1_dp/t21/t19/t2
               t24 = t10*t23
               t25 = my_rhoa*my_rhob
               t26 = my_rhoa**2
               t27 = my_rhoa**(0.1e1_dp/0.3e1_dp)
               t28 = t27**2
               t30 = my_rhob**2
               t31 = my_rhob**(0.1e1_dp/0.3e1_dp)
               t32 = t31**2
               t39 = t5*t7*t10
               t41 = 0.26111111111111111111e1_dp-0.3888888889e0_dp*t16-0.3888888889e0_dp &
                     *t39
               t42 = my_ndrho**2
               t46 = 0.25000000000000000000e1_dp-0.5555555556e-1_dp*t16-0.5555555556e-1_dp &
                     *t39
               t47 = my_ndrhoa**2
               t48 = my_ndrhob**2
               t49 = t47+t48
               t51 = t16+t39-0.110e2_dp
               t55 = my_rhoa*t3*t47+t4*t48
               t58 = 0.12699208415745595798e2_dp*Cf*(t28*t26+t32*t30)+t41 &
                     *t42-t46*t49-0.1111111111e0_dp*t51*t55
               t62 = 0.66666666666666666667e0_dp*t19
               t63 = t62-t26
               t65 = t62-t30
               t67 = t25*t58-0.6666666667e0_dp*t19*t42+t63*t48+t65*t47
               t73 = lambda**2
               t74 = t1*my_rhob
               t76 = 0.1e1_dp/t6/t2
               t77 = t9**2
               t78 = 0.1e1_dp/t77
               t80 = t76*t78*d
               t83 = t14*c
               t84 = t19**2
               t85 = 0.1e1_dp/t84
               t86 = t85*t17
               t87 = t10*t67
               t90 = t78*t85
               t91 = t67*d
               t94 = t17*t10
               t95 = t14*t94
               t96 = t23*my_rhoa
               t97 = c*t7
               t100 = d*t7*t10
               t102 = d**2
               t103 = t102*lambda
               t106 = t103/t21*t78
               t108 = -0.3888888889e0_dp*t97-0.3888888889e0_dp*t100+0.38888888888888888889e0_dp &
                      *t106
               t113 = -0.5555555556e-1_dp*t97-0.5555555556e-1_dp*t100+0.55555555555555555556e-1_dp &
                      *t106
               t115 = t97+t100-t106
               t118 = t108*t42-t113*t49-0.1111111111e0_dp*t115*t55
               t119 = my_rhob*t118

               e_0(ii) = e_0(ii)+0.20e1_dp*lambda*(-0.40e1_dp*t1*t4*t10-t18*t24*t67) &
                         +t73*(0.40e1_dp*t74*t80+t83*t86*t87+t18*t90*t91- &
                               t95*t96*t119)

            END IF
            IF (grad_deriv == 1 .OR. grad_deriv == -1) THEN
               t124 = a*my_rhob
               t125 = t3*t10
               t128 = 0.1e1_dp/t19
               t129 = my_rhob*t128
               t132 = 0.40e1_dp*t1*t129*t10
               t135 = 0.1e1_dp/t6/t19*t78
               t138 = 0.1333333333e1_dp*t74*t135*t5
               t140 = t84*t2
               t141 = 0.1e1_dp/t140
               t143 = t141*t17*t87
               t145 = t14*t15*t143/0.3e1_dp
               t146 = t17*t78
               t151 = t14*t146*t141*t67*t5/0.3e1_dp
               t153 = 0.1e1_dp/t21/t84
               t157 = 0.11e2_dp/0.3e1_dp*t18*t10*t153*t67
               t162 = t15*t76
               t165 = t5*t76*t10
               t169 = 0.1e1_dp/t21/t2
               t171 = t102*t73*t169*t78
               t174 = (0.12962962962962962963e0_dp*t162+0.12962962962962962963e0_dp &
                       *t165-0.1296296296e0_dp*t171)*t42
               t179 = (0.18518518518518518519e-1_dp*t162+0.18518518518518518519e-1_dp &
                       *t165-0.1851851852e-1_dp*t171)*t49
               t183 = 0.1111111111e0_dp*(-t162/0.3e1_dp-t165/0.3e1_dp+t171/0.3e1_dp) &
                      *t55
               t186 = my_rhoa*t128*t47
               t187 = t129*t48
               t188 = t3*t47-t186-t187
               t194 = 0.1333333333e1_dp*t2*t42
               t196 = 0.13333333333333333333e1_dp*my_rhob
               t199 = 0.13333333333333333333e1_dp*my_rhoa
               t200 = t199+t196
               t202 = my_rhob*t58+t25*(0.33864555775321588795e2_dp*Cf*t28*my_rhoa &
                                       +t174-t179-t183-0.1111111111e0_dp*t51*t188)-t194+(-0.6666666667e0_dp &
                                                                                         *my_rhoa+t196)*t48+t200*t47
               t212 = 0.5333333333e1_dp*t74*t135*d
               t216 = 0.1e1_dp/t77/t9
               t220 = 0.26666666666666666667e1_dp*t74/t21/t19*t216*t103
               t222 = 4*t83*t143
               t223 = c**2
               t225 = 0.1e1_dp/t6/t140
               t231 = t14*t223*t225*lambda*t17*t87/0.3e1_dp
               t237 = 0.2e1_dp/0.3e1_dp*t14*c*t225*t146*t91*lambda
               t246 = 0.2e1_dp/0.3e1_dp*t14*t17*t216*t225*t67*t103
               t250 = 4*t18*t78*t141*t91
               t259 = t14*t15*t141*t94*t25*t118/0.3e1_dp
               t266 = t14*t146*t141*t25*t118*d*lambda/0.3e1_dp
               t270 = 0.11e2_dp/0.3e1_dp*t95*t153*my_rhoa*t119
               t273 = c*t76
               t276 = d*t76*t10
               t280 = t102*t169*t78*lambda
               t285 = t102*d*t73*t128*t216
               t288 = (0.12962962962962962963e0_dp*t273+0.12962962962962962963e0_dp &
                       *t276-0.3888888889e0_dp*t280+0.25925925925925925926e0_dp*t285) &
                      *t42
               t294 = (0.18518518518518518519e-1_dp*t273+0.18518518518518518519e-1_dp &
                       *t276-0.5555555556e-1_dp*t280+0.37037037037037037037e-1_dp*t285) &
                      *t49
               t300 = 0.1111111111e0_dp*(-t273/0.3e1_dp-t276/0.3e1_dp+t280-0.2e1_dp &
                                         /0.3e1_dp*t285)*t55
               t307 = 0.40e1_dp*t124*t80-t212+t220-t222+t231+t237+t83 &
                      *t86*t10*t202+t246-t250+t18*t90*t202*d-t259- &
                      t266+t270-t18*t24*t119-t95*t96*my_rhob*(t288-t294- &
                                                              t300-0.1111111111e0_dp*t115*t188)

               e_ra(ii) = e_ra(ii)+0.20e1_dp*lambda*(-0.40e1_dp*t124*t125+t132-t138-t145 &
                                                     -t151+t157-t18*t24*t202)+t73*t307

               t316 = -t186+t3*t48-t187
               t325 = my_rhoa*t58+t25*(0.33864555775321588795e2_dp*Cf*t32*my_rhob &
                                       +t174-t179-t183-0.1111111111e0_dp*t51*t316)-t194+t200 &
                      *t48+(t199-0.6666666667e0_dp*my_rhob)*t47
               t348 = 0.40e1_dp*t1*t80-t212+t220-t222+t231+t237+t83* &
                      t86*t10*t325+t246-t250+t18*t90*t325*d-t259-t266 &
                      +t270-t18*t24*my_rhoa*t118-t95*t96*my_rhob*(t288-t294 &
                                                                  -t300-0.1111111111e0_dp*t115*t316)

               e_rb(ii) = e_rb(ii)+0.20e1_dp*lambda*(-0.40e1_dp*t1*t125+t132-t138-t145- &
                                                     t151+t157-t18*t24*t325)+t73*t348

               t351 = lambda*a*b
               t355 = t3*my_ndrhoa
               t362 = t25*(-REAL(2*t46*my_ndrhoa, dp)-0.2222222222e0_dp*t51*my_rhoa &
                           *t355)+REAL(2*t65*my_ndrhoa, dp)

               e_ndra(ii) = e_ndra(ii)-0.20e1_dp*t351*t94*t23*t362+t73*(t83*t86*t10* &
                                                                        t362+t18*t90*t362*d-t95*t96*my_rhob*(-REAL(2*t113* &
                                                                                my_ndrhoa, dp)-0.2222222222e0_dp*t115*my_rhoa*t355))

               t387 = t3*my_ndrhob
               t394 = t25*(-REAL(2*t46*my_ndrhob, dp)-0.2222222222e0_dp*t51*my_rhob &
                           *t387)+REAL(2*t63*my_ndrhob, dp)

               e_ndrb(ii) = e_ndrb(ii)-0.20e1_dp*t351*t94*t23*t394+t73*(t83*t86*t10* &
                                                                        t394+t18*t90*t394*d-t95*t96*my_rhob*(-REAL(2*t113* &
                                                                                my_ndrhob, dp)-0.2222222222e0_dp*t115*my_rhob*t387))

               t421 = REAL(2*t25*t41*my_ndrho, dp)-0.1333333333e1_dp*REAL(t19, dp)*REAL(my_ndrho, dp)

               e_ndr(ii) = e_ndr(ii)-0.20e1_dp*t351*t94*t23*t421+t73*(t83*t86*t10*t421 &
                                                                      +t18*t90*t421*d-REAL(2*t95*t96*my_rhob*t108*my_ndrho, dp))

            END IF
         END IF
      END DO

!$OMP     END DO

   END SUBROUTINE lyp_adiabatic_lsd_calc

END MODULE xc_lyp_adiabatic
