LCOV - code coverage report
Current view: top level - src - qs_dispersion_d4.F (source / functions) Coverage Total Hit
Test: CP2K Regtests (git:21ef868) Lines: 70.4 % 588 414
Test Date: 2026-08-14 07:04:57 Functions: 66.7 % 12 8

            Line data    Source code
       1              : !--------------------------------------------------------------------------------------------------!
       2              : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3              : !   Copyright 2000-2026 CP2K developers group <https://cp2k.org>                                   !
       4              : !                                                                                                  !
       5              : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6              : !--------------------------------------------------------------------------------------------------!
       7              : 
       8              : ! **************************************************************************************************
       9              : !> \brief Calculation of dispersion using pair potentials
      10              : !> \author Johann Pototschnig
      11              : ! **************************************************************************************************
      12              : MODULE qs_dispersion_d4
      13              :    USE atomic_kind_types, ONLY: atomic_kind_type, &
      14              :                                 get_atomic_kind, &
      15              :                                 get_atomic_kind_set
      16              :    USE distribution_1d_types, ONLY: distribution_1d_type
      17              :    USE eeq_method, ONLY: eeq_charges, eeq_forces
      18              :    USE machine, ONLY: m_flush, &
      19              :                       m_walltime
      20              :    USE cell_types, ONLY: cell_type, &
      21              :                          plane_distance, &
      22              :                          pbc, &
      23              :                          get_cell
      24              :    USE qs_environment_types, ONLY: get_qs_env, &
      25              :                                    qs_environment_type
      26              :    USE qs_force_types, ONLY: qs_force_type
      27              :    USE qs_kind_types, ONLY: get_qs_kind, &
      28              :                             qs_kind_type, &
      29              :                             set_qs_kind
      30              :    USE qs_neighbor_list_types, ONLY: get_iterator_info, &
      31              :                                      neighbor_list_iterate, &
      32              :                                      neighbor_list_iterator_create, &
      33              :                                      neighbor_list_iterator_p_type, &
      34              :                                      neighbor_list_iterator_release, &
      35              :                                      neighbor_list_set_p_type
      36              :    USE virial_methods, ONLY: virial_pair_force
      37              :    USE virial_types, ONLY: virial_type
      38              :    USE kinds, ONLY: dp
      39              :    USE particle_types, ONLY: particle_type
      40              :    USE qs_dispersion_types, ONLY: qs_dispersion_type
      41              :    USE qs_dispersion_utils, ONLY: cellhash
      42              :    USE qs_dispersion_cnum, ONLY: cnumber_init, dcnum_type, cnumber_release
      43              :    USE message_passing, ONLY: mp_para_env_type
      44              : 
      45              : #if defined(__DFTD4)
      46              : !&<
      47              :    USE dftd4,                           ONLY: d4_model, &
      48              :                                               damping_param, &
      49              :                                               get_dispersion, &
      50              :                                               get_rational_damping, &
      51              :                                               new, &
      52              :                                               new_d4_model, &
      53              :                                               realspace_cutoff, &
      54              :                                               structure_type, &
      55              :                                               rational_damping_param, &
      56              :                                               get_coordination_number, &
      57              :                                               get_lattice_points
      58              :    USE multicharge,                     ONLY: get_charges
      59              :    USE mctc_env,                        ONLY: error_type
      60              : !&>
      61              : #endif
      62              : #include "./base/base_uses.f90"
      63              : 
      64              :    IMPLICIT NONE
      65              : 
      66              :    PRIVATE
      67              : 
      68              :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'qs_dispersion_d4'
      69              : 
      70              :    PUBLIC :: calculate_dispersion_d4_pairpot
      71              : 
      72              : ! **************************************************************************************************
      73              : 
      74              : CONTAINS
      75              : 
      76              : #if defined(__DFTD4)
      77              : ! **************************************************************************************************
      78              : !> \brief Read smooth-cutoff width override from environment.
      79              : !> \param primary primary environment variable name
      80              : !> \param fallback fallback environment variable name
      81              : !> \param cutoff real-space cutoff used to validate the width
      82              : !> \param width smooth-cutoff width to update
      83              : ! **************************************************************************************************
      84         1820 :    SUBROUTINE d4_smooth_width_from_env(primary, fallback, cutoff, width)
      85              :       CHARACTER(LEN=*), INTENT(IN)                       :: primary, fallback
      86              :       REAL(KIND=dp), INTENT(IN)                          :: cutoff
      87              :       REAL(KIND=dp), INTENT(INOUT)                       :: width
      88              : 
      89              :       CHARACTER(LEN=64)                                  :: env
      90              :       INTEGER                                            :: io, stat
      91              :       REAL(KIND=dp)                                      :: env_width
      92              : 
      93         1820 :       CALL GET_ENVIRONMENT_VARIABLE(primary, env, STATUS=stat)
      94         1820 :       IF (stat /= 0 .OR. LEN_TRIM(env) == 0) THEN
      95         1820 :          CALL GET_ENVIRONMENT_VARIABLE(fallback, env, STATUS=stat)
      96              :       END IF
      97         1820 :       IF (stat == 0 .AND. LEN_TRIM(env) > 0) THEN
      98            0 :          READ (env, *, IOSTAT=io) env_width
      99            0 :          IF (io == 0) THEN
     100            0 :             IF (env_width > 0.0_dp .AND. env_width < cutoff) THEN
     101            0 :                width = env_width
     102              :             ELSE
     103            0 :                width = 0.0_dp
     104              :             END IF
     105              :          END IF
     106              :       END IF
     107              : 
     108         1820 :    END SUBROUTINE d4_smooth_width_from_env
     109              : 
     110              : ! **************************************************************************************************
     111              : !> \brief ...
     112              : !> \param qs_env ...
     113              : !> \param dispersion_env ...
     114              : !> \param evdw ...
     115              : !> \param calculate_forces ...
     116              : !> \param iw ...
     117              : !> \param atomic_energy ...
     118              : ! **************************************************************************************************
     119          910 :    SUBROUTINE calculate_dispersion_d4_pairpot(qs_env, dispersion_env, evdw, calculate_forces, iw, &
     120          910 :                                               atomic_energy)
     121              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     122              :       TYPE(qs_dispersion_type), INTENT(IN), POINTER      :: dispersion_env
     123              :       REAL(KIND=dp), INTENT(INOUT)                       :: evdw
     124              :       LOGICAL, INTENT(IN)                                :: calculate_forces
     125              :       INTEGER, INTENT(IN)                                :: iw
     126              :       REAL(KIND=dp), DIMENSION(:), OPTIONAL              :: atomic_energy
     127              : 
     128              :       CHARACTER(LEN=*), PARAMETER :: routineN = 'calculate_dispersion_d4_pairpot'
     129              : 
     130              :       INTEGER                                            :: atoma, cnfun, enshift, handle, i, iatom, &
     131              :                                                             ifull, ikind, mref, natom, natom_full, &
     132              :                                                             ncoup, nghost
     133          910 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: atom_map, atom_map_back, atom_of_kind, &
     134          910 :                                                             atomtype, kind_of, species, t_atomtype
     135              :       INTEGER, DIMENSION(3)                              :: periodic
     136              :       LOGICAL                                            :: debug, grad, ifloating, ighost, &
     137              :                                                             use_virial
     138          910 :       LOGICAL, ALLOCATABLE, DIMENSION(:)                 :: a_ghost, exclude_ghost
     139              :       LOGICAL, DIMENSION(3)                              :: lperiod
     140              :       REAL(KIND=dp)                                      :: ed2, ed3, ev1, ev2, ev3, ev4, pd2, pd3, &
     141              :                                                             ta, tb, tc, td, te, ts
     142          910 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: cn, cn_red, cnd, dEdcn, dEdq, edcn, edq, &
     143          910 :                                                             enerd2, enerd3, energies, energies3, &
     144          910 :                                                             q_red, qd
     145          910 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: ga, gradient, t_xyz, tvec, xyz
     146          910 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: gdeb, gwdcn, gwdq, gwvec
     147              :       REAL(KIND=dp), DIMENSION(3, 3)                     :: sigma, stress
     148              :       REAL(KIND=dp), DIMENSION(3, 3, 4)                  :: sdeb
     149          910 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     150              :       TYPE(cell_type), POINTER                           :: cell
     151          910 :       TYPE(dcnum_type), ALLOCATABLE, DIMENSION(:)        :: dcnum
     152              :       TYPE(mp_para_env_type), POINTER                    :: para_env
     153          910 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     154          910 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     155          910 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     156              :       TYPE(virial_type), POINTER                         :: virial
     157              : 
     158         1820 :       CLASS(damping_param), ALLOCATABLE                  :: param
     159          910 :       TYPE(d4_model)                                     :: disp
     160          910 :       TYPE(structure_type)                               :: mol
     161              :       TYPE(realspace_cutoff)                             :: cutoff
     162              : 
     163          910 :       TYPE(error_type), ALLOCATABLE                      :: error
     164              : 
     165          910 :       CALL timeset(routineN, handle)
     166              : 
     167          910 :       debug = dispersion_env%d4_debug
     168              : 
     169              :       CALL get_qs_env(qs_env=qs_env, particle_set=particle_set, atomic_kind_set=atomic_kind_set, &
     170          910 :                       cell=cell, force=force, virial=virial, para_env=para_env)
     171          910 :       CALL get_atomic_kind_set(atomic_kind_set, atom_of_kind=atom_of_kind, kind_of=kind_of)
     172              : 
     173              :       !get information about particles
     174          910 :       natom_full = SIZE(particle_set)
     175          910 :       nghost = 0
     176         5460 :       ALLOCATE (t_xyz(3, natom_full), t_atomtype(natom_full), a_ghost(natom_full))
     177          910 :       CALL get_qs_env(qs_env=qs_env, qs_kind_set=qs_kind_set)
     178         4828 :       DO iatom = 1, natom_full
     179        15672 :          t_xyz(:, iatom) = particle_set(iatom)%r(:)
     180         3918 :          ikind = kind_of(iatom)
     181         3918 :          CALL get_qs_kind(qs_kind_set(ikind), zatom=t_atomtype(iatom), ghost=ighost, floating=ifloating)
     182         3918 :          a_ghost(iatom) = ighost .OR. ifloating
     183         4828 :          IF (a_ghost(iatom)) nghost = nghost + 1
     184              :       END DO
     185              : 
     186          910 :       natom = natom_full - nghost
     187              :       ! Build atom mapping: full index -> reduced index (0 for ghost)
     188         3640 :       ALLOCATE (atom_map(natom_full), atom_map_back(natom))
     189          910 :       atom_map = 0
     190          910 :       iatom = 0
     191         3640 :       ALLOCATE (xyz(3, natom), atomtype(natom))
     192         4828 :       DO i = 1, natom_full
     193         4828 :          IF (.NOT. a_ghost(i)) THEN
     194         3906 :             iatom = iatom + 1
     195         3906 :             atom_map(i) = iatom
     196         3906 :             atom_map_back(iatom) = i
     197        15624 :             xyz(:, iatom) = t_xyz(:, i)
     198         3906 :             atomtype(iatom) = t_atomtype(i)
     199              :          END IF
     200              :       END DO
     201          910 :       DEALLOCATE (a_ghost, t_xyz, t_atomtype)
     202              : 
     203              :       !get information about cell / lattice
     204          910 :       CALL get_cell(cell=cell, periodic=periodic)
     205          910 :       lperiod(1) = periodic(1) == 1
     206          910 :       lperiod(2) = periodic(2) == 1
     207          910 :       lperiod(3) = periodic(3) == 1
     208              :       ! enforce en shift method 1 (original/molecular)
     209              :       ! method 2 from paper on PBC seems not to work
     210          910 :       enshift = 1
     211              :       !IF (ALL(periodic == 0)) enshift = 1
     212              : 
     213              :       !prepare for the call to the dispersion function
     214          910 :       CALL new(mol, atomtype, xyz, lattice=cell%hmat, periodic=lperiod)
     215          910 :       CALL new_d4_model(error, disp, mol)
     216          910 :       IF (ALLOCATED(error)) THEN
     217            0 :          CPABORT(error%message)
     218              :       END IF
     219              : 
     220              :       ! Number of coupling
     221          910 :       ncoup = disp%ncoup
     222              : 
     223              :       ! Build species mapping: full atom index -> D4 species ID (0 for ghost)
     224         1820 :       ALLOCATE (species(natom_full))
     225          910 :       species = 0
     226         4816 :       DO i = 1, natom
     227         4816 :          species(atom_map_back(i)) = mol%id(i)
     228              :       END DO
     229              : 
     230              :       ! Build per-kind exclusion mask for EEQ (ghost/floating kinds excluded)
     231         2730 :       ALLOCATE (exclude_ghost(SIZE(qs_kind_set)))
     232          910 :       exclude_ghost = .FALSE.
     233         3024 :       DO i = 1, SIZE(qs_kind_set)
     234         2114 :          CALL get_qs_kind(qs_kind_set(i), ghost=ighost, floating=ifloating)
     235         5130 :          exclude_ghost(i) = ighost .OR. ifloating
     236              :       END DO
     237              : 
     238          910 :       IF (dispersion_env%ref_functional == "none") THEN
     239          858 :          CALL get_rational_damping("pbe", param, s9=0.0_dp)
     240          858 :          IF (.NOT. ALLOCATED(param)) THEN
     241            0 :             CPABORT("D4: Failed to get rational damping parameters for default functional")
     242              :          END IF
     243              :          SELECT TYPE (param)
     244              :          TYPE is (rational_damping_param)
     245          858 :             param%s6 = dispersion_env%s6
     246          858 :             param%s8 = dispersion_env%s8
     247          858 :             param%a1 = dispersion_env%a1
     248          858 :             param%a2 = dispersion_env%a2
     249          858 :             param%alp = dispersion_env%alp
     250              :          END SELECT
     251              :       ELSE
     252           52 :          CALL get_rational_damping(dispersion_env%ref_functional, param, s9=dispersion_env%s9)
     253           52 :          IF (.NOT. ALLOCATED(param)) THEN
     254            0 :             CPABORT("D4: Unknown reference functional '"//TRIM(dispersion_env%ref_functional)//"'")
     255              :          END IF
     256              :          SELECT TYPE (param)
     257              :          TYPE is (rational_damping_param)
     258           52 :             dispersion_env%s6 = param%s6
     259           52 :             dispersion_env%s8 = param%s8
     260           52 :             dispersion_env%a1 = param%a1
     261           52 :             dispersion_env%a2 = param%a2
     262           52 :             dispersion_env%alp = param%alp
     263              :          END SELECT
     264              :       END IF
     265              : 
     266              :       ! Coordination number cutoff
     267          910 :       cutoff%cn = dispersion_env%rc_cn
     268              :       ! Two-body interaction cutoff
     269          910 :       cutoff%disp2 = dispersion_env%rc_d4*2._dp
     270              :       ! Three-body interaction cutoff
     271          910 :       cutoff%disp3 = dispersion_env%rc_disp*2._dp
     272          910 :       IF (cutoff%disp3 > cutoff%disp2) THEN
     273            0 :          CPABORT("D4: Three-body cutoff should be smaller than two-body cutoff")
     274              :       END IF
     275              :       ! DFTD4 4.2 introduced explicit smooth-cutoff widths.
     276              :       ! Keep the same narrow two-body smoothing used by the toolchain patch.
     277          910 :       cutoff%width2 = 0.05_dp
     278              :       cutoff%width3 = 0.0_dp
     279              :       CALL d4_smooth_width_from_env("DFTD4_DISP2_SMOOTH_WIDTH", "TBLITE_D4_DISP2_SMOOTH_WIDTH", &
     280          910 :                                     cutoff%disp2, cutoff%width2)
     281              :       CALL d4_smooth_width_from_env("DFTD4_DISP3_SMOOTH_WIDTH", "TBLITE_D4_DISP3_SMOOTH_WIDTH", &
     282          910 :                                     cutoff%disp3, cutoff%width3)
     283              : 
     284          910 :       IF (calculate_forces) THEN
     285           24 :          grad = .TRUE.
     286           24 :          use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
     287              :       ELSE
     288          886 :          grad = .FALSE.
     289          886 :          use_virial = .FALSE.
     290              :       END IF
     291              : 
     292          910 :       IF (dispersion_env%d4_reference_code) THEN
     293              : 
     294              :          !> Wrapper to handle the evaluation of dispersion energy and derivatives
     295            6 :          IF (.NOT. dispersion_env%doabc) THEN
     296            0 :             CPWARN("Using D4_REFERENCE_CODE enforces calculation of C9 term.")
     297              :          END IF
     298            6 :          IF (grad) THEN
     299            4 :             ALLOCATE (gradient(3, natom))
     300            2 :             CALL get_dispersion(mol, disp, param, cutoff, evdw, gradient, stress)
     301            2 :             IF (calculate_forces) THEN
     302            2 :                IF (use_virial) THEN
     303            0 :                   virial%pv_virial = virial%pv_virial - stress/para_env%num_pe
     304              :                END IF
     305           22 :                DO iatom = 1, natom
     306           20 :                   ifull = atom_map_back(iatom)
     307           20 :                   ikind = kind_of(ifull)
     308           20 :                   atoma = atom_of_kind(ifull)
     309              :                   force(ikind)%dispersion(:, atoma) = &
     310           82 :                      force(ikind)%dispersion(:, atoma) + gradient(:, iatom)/para_env%num_pe
     311              :                END DO
     312              :             END IF
     313            2 :             DEALLOCATE (gradient)
     314              :          ELSE
     315            4 :             CALL get_dispersion(mol, disp, param, cutoff, evdw)
     316              :          END IF
     317              :          !dispersion energy is computed by every MPI process
     318            6 :          evdw = evdw/para_env%num_pe
     319            6 :          IF (dispersion_env%ext_charges) dispersion_env%dcharges = 0.0_dp
     320            6 :          IF (PRESENT(atomic_energy)) THEN
     321            0 :             CPWARN("Atomic energies not available for D4 reference code")
     322            0 :             atomic_energy = 0.0_dp
     323              :          END IF
     324              : 
     325              :       ELSE
     326              : 
     327          904 :          IF (iw > 0) THEN
     328            0 :             WRITE (iw, '(/,T2,A)') '!-----------------------------------------------------------------------------!'
     329            0 :             WRITE (iw, FMT="(T32,A)") "DEBUG D4 DISPERSION"
     330            0 :             WRITE (iw, '(T2,A)') '!-----------------------------------------------------------------------------!'
     331            0 :             WRITE (iw, '(A,T71,A10)') " DEBUG D4| Reference functional   ", TRIM(dispersion_env%ref_functional)
     332            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| Scaling parameter (s6) ", dispersion_env%s6
     333            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| Scaling parameter (s8) ", dispersion_env%s8
     334            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| BJ Damping parameter (a1) ", dispersion_env%a1
     335            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| BJ Damping parameter (a2) ", dispersion_env%a2
     336            0 :             WRITE (iw, '(A,T71,E10.4)') " DEBUG D4| Cutoff value coordination numbers ", dispersion_env%eps_cn
     337            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| Cutoff radius coordination numbers ", dispersion_env%rc_cn
     338            0 :             WRITE (iw, '(A,T71,I10)') " DEBUG D4| Coordination number function type ", dispersion_env%cnfun
     339            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| Cutoff radius 2-body terms [bohr]", 2._dp*dispersion_env%rc_d4
     340            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| Cutoff radius 3-body terms [bohr]", 2._dp*dispersion_env%rc_disp
     341              :          END IF
     342              : 
     343          904 :          td = 0.0_dp
     344          904 :          IF (debug .AND. iw > 0) THEN
     345            0 :             ts = m_walltime()
     346              :             CALL refd4_debug(param, disp, mol, cutoff, grad, dispersion_env%doabc, &
     347            0 :                              enerd2, enerd3, cnd, qd, Edcn, Edq, gdeb, sdeb)
     348            0 :             te = m_walltime()
     349            0 :             td = te - ts
     350              :          END IF
     351              : 
     352          904 :          tc = 0.0_dp
     353          904 :          ts = m_walltime()
     354              : 
     355         2998 :          mref = MAXVAL(disp%ref)
     356              :          ! Coordination numbers (full-size from qs_env; ghosts excluded internally)
     357          904 :          cnfun = dispersion_env%cnfun
     358          904 :          CALL cnumber_init(qs_env, cn, dcnum, cnfun, grad)
     359              :          ! cn has size natom_full; ghost entries are 0
     360              : 
     361              :          ! Filter CN to reduced space for D4 model
     362         2712 :          ALLOCATE (cn_red(natom))
     363         4750 :          DO i = 1, natom
     364         4750 :             cn_red(i) = cn(atom_map_back(i))
     365              :          END DO
     366          904 :          IF (debug .AND. iw > 0) THEN
     367            0 :             WRITE (iw, '(A,T71,F10.6)') " DEBUG D4| CN differences (max)", MAXVAL(ABS(cn_red - cnd))
     368            0 :             WRITE (iw, '(A,T71,F10.6)') " DEBUG D4| CN differences (ave)", SUM(ABS(cn_red - cnd))/natom
     369              :          END IF
     370              : 
     371              :          ! EEQ charges
     372              :          ! Use CP2K's MPI-parallel EEQ solver with ghost exclusion.
     373              :          ! Ghost kinds get huge hardness + zero coupling -> q_ghost = 0 exactly,
     374              :          ! without influencing real atom charges. Preserves full MPI parallelism.
     375          904 :          IF (dispersion_env%ext_charges) THEN
     376         1716 :             ALLOCATE (q_red(natom))
     377         4320 :             q_red(1:natom) = dispersion_env%charges(1:natom)
     378              :          ELSE
     379              :             ! eeq_charges writes natom_full entries (from qs_env), so allocate full-size
     380          138 :             ALLOCATE (q_red(natom_full))
     381              :             CALL eeq_charges(qs_env, q_red, dispersion_env%eeq_sparam, 2, enshift, &
     382           46 :                              exclude=exclude_ghost, cn_max=8.0_dp)
     383              :             ! Filter to reduced size for D4 model
     384              :             BLOCK
     385           46 :                REAL(KIND=dp), ALLOCATABLE :: q_tmp(:)
     386           92 :                ALLOCATE (q_tmp(natom))
     387          430 :                DO i = 1, natom
     388          430 :                   q_tmp(i) = q_red(atom_map_back(i))
     389              :                END DO
     390           46 :                DEALLOCATE (q_red)
     391           46 :                CALL MOVE_ALLOC(q_tmp, q_red)
     392              :             END BLOCK
     393              :          END IF
     394          904 :          IF (debug .AND. iw > 0) THEN
     395            0 :             WRITE (iw, '(A,T71,F10.6)') " DEBUG D4| Charge differences (max)", MAXVAL(ABS(q_red - qd))
     396            0 :             WRITE (iw, '(A,T71,F10.6)') " DEBUG D4| Charge differences (ave)", SUM(ABS(q_red - qd))/natom
     397              :          END IF
     398              :          ! Weights for C6 calculation (reduced space)
     399         4520 :          ALLOCATE (gwvec(mref, natom, ncoup))
     400         1036 :          IF (grad) ALLOCATE (gwdcn(mref, natom, ncoup), gwdq(mref, natom, ncoup))
     401          904 :          CALL disp%weight_references(mol, cn_red, q_red, gwvec, gwdcn, gwdq)
     402              : 
     403              :          ! Energies and derivatives (full-size for CP2K infrastructure compatibility)
     404         2712 :          ALLOCATE (energies(natom_full))
     405          904 :          energies(:) = 0.0_dp
     406          904 :          IF (grad) THEN
     407           66 :             ALLOCATE (gradient(3, natom_full), ga(3, natom_full))
     408           66 :             ALLOCATE (dEdcn(natom_full), dEdq(natom_full))
     409           22 :             dEdcn(:) = 0.0_dp; dEdq(:) = 0.0_dp
     410           22 :             ga(:, :) = 0.0_dp
     411           22 :             sigma(:, :) = 0.0_dp
     412              :          END IF
     413              :          CALL dispersion_2b(dispersion_env, cutoff%disp2, disp%r4r2, &
     414              :                             gwvec, gwdcn, gwdq, disp%c6, disp%ref, &
     415              :                             energies, dEdcn, dEdq, grad, ga, sigma, &
     416          904 :                             atom_map, species)
     417          904 :          IF (grad) THEN
     418          566 :             gradient(1:3, 1:natom_full) = ga(1:3, 1:natom_full)
     419           22 :             stress = sigma
     420           22 :             IF (debug) THEN
     421            0 :                CALL para_env%sum(ga)
     422            0 :                CALL para_env%sum(sigma)
     423            0 :                IF (iw > 0) THEN
     424            0 :                   CALL gerror(ga, gdeb(:, :, 1), ev1, ev2, ev3, ev4)
     425            0 :                   WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| RMS error Gradient [2B]", ev1, ev2, " %"
     426            0 :                   WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Gradient [2B]", ev3, ev4, " %"
     427            0 :                   IF (use_virial) THEN
     428            0 :                      CALL serror(sigma, sdeb(:, :, 1), ev1, ev2)
     429            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Stress [2B]", ev1, ev2, " %"
     430              :                   END IF
     431              :                END IF
     432              :             END IF
     433              :          END IF
     434              :          ! no contribution from dispersion_3b as q=0 (but q is changed!)
     435              :          ! so we calculate this here
     436          904 :          IF (grad) THEN
     437           22 :             IF (dispersion_env%ext_charges) THEN
     438           60 :                dispersion_env%dcharges = dEdq
     439              :             ELSE
     440           10 :                CALL para_env%sum(dEdq)
     441              :                ! Reconstruct full-sized charges for eeq_forces
     442              :                BLOCK
     443           10 :                   REAL(KIND=dp), ALLOCATABLE :: q_full(:)
     444           20 :                   ALLOCATE (q_full(natom_full))
     445           10 :                   q_full = 0.0_dp
     446           98 :                   DO i = 1, natom
     447           98 :                      q_full(atom_map_back(i)) = q_red(i)
     448              :                   END DO
     449           10 :                   ga(:, :) = 0.0_dp
     450           10 :                   sigma = 0.0_dp
     451              :                   CALL eeq_forces(qs_env, q_full, dEdq, ga, sigma, dispersion_env%eeq_sparam, &
     452              :                                   2, enshift, response_only=.TRUE., exclude=exclude_ghost, &
     453           10 :                                   cn_max=8.0_dp)
     454           10 :                   DEALLOCATE (q_full)
     455              :                END BLOCK
     456          362 :                gradient(1:3, 1:natom_full) = gradient(1:3, 1:natom_full) + ga(1:3, 1:natom_full)
     457          130 :                stress = stress + sigma
     458           10 :                IF (debug) THEN
     459            0 :                   CALL para_env%sum(ga)
     460            0 :                   CALL para_env%sum(sigma)
     461            0 :                   IF (iw > 0) THEN
     462            0 :                      CALL verror(dEdq, Edq, ev1, ev2)
     463            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Derivative dEdq", ev1, ev2, " %"
     464            0 :                      CALL gerror(ga, gdeb(:, :, 2), ev1, ev2, ev3, ev4)
     465            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| RMS error Gradient [dEdq]", ev1, ev2, " %"
     466            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Gradient [dEdq]", ev3, ev4, " %"
     467            0 :                      IF (use_virial) THEN
     468            0 :                         CALL serror(sigma, sdeb(:, :, 2), ev1, ev2)
     469            0 :                         WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Stress [dEdq]", ev1, ev2, " %"
     470              :                      END IF
     471              :                   END IF
     472              :                END IF
     473              :             END IF
     474              :          END IF
     475              : 
     476          904 :          IF (dispersion_env%doabc) THEN
     477           92 :             ALLOCATE (energies3(natom_full))
     478           46 :             energies3(:) = 0.0_dp
     479           46 :             q_red(:) = 0.0_dp
     480              :             ! i.e. dc6dq = dEdq = 0
     481           46 :             CALL disp%weight_references(mol, cn_red, q_red, gwvec, gwdcn, gwdq)
     482              :             !
     483           46 :             IF (grad) THEN
     484           10 :                gwdq = 0.0_dp
     485           10 :                ga(:, :) = 0.0_dp
     486           10 :                sigma = 0.0_dp
     487              :             END IF
     488           46 :             CALL get_lattice_points(mol%periodic, mol%lattice, cutoff%disp3, tvec)
     489              :             CALL dispersion_3b(qs_env, dispersion_env, tvec, cutoff%disp3, disp%r4r2, &
     490              :                                gwvec, gwdcn, gwdq, disp%c6, disp%ref, &
     491              :                                energies3, dEdcn, dEdq, grad, ga, sigma, &
     492           46 :                                atom_map, species)
     493           46 :             IF (grad) THEN
     494          362 :                gradient(1:3, 1:natom_full) = gradient(1:3, 1:natom_full) + ga(1:3, 1:natom_full)
     495          130 :                stress = stress + sigma
     496           10 :                IF (debug) THEN
     497            0 :                   CALL para_env%sum(ga)
     498            0 :                   CALL para_env%sum(sigma)
     499            0 :                   IF (iw > 0) THEN
     500            0 :                      CALL gerror(ga, gdeb(:, :, 3), ev1, ev2, ev3, ev4)
     501            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| RMS error Gradient [3B]", ev1, ev2, " %"
     502            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Gradient [3B]", ev3, ev4, " %"
     503            0 :                      IF (use_virial) THEN
     504            0 :                         CALL serror(sigma, sdeb(:, :, 3), ev1, ev2)
     505            0 :                         WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Stress [3B]", ev1, ev2, " %"
     506              :                      END IF
     507              :                   END IF
     508              :                END IF
     509              :             END IF
     510              :          END IF
     511              : 
     512          904 :          IF (grad) THEN
     513           22 :             CALL para_env%sum(dEdcn)
     514           22 :             ga(:, :) = 0.0_dp
     515           22 :             sigma = 0.0_dp
     516           22 :             CALL dEdcn_force(qs_env, dEdcn, dcnum, ga, sigma)
     517          566 :             gradient(1:3, 1:natom_full) = gradient(1:3, 1:natom_full) + ga(1:3, 1:natom_full)
     518          286 :             stress = stress + sigma
     519           22 :             IF (debug) THEN
     520            0 :                CALL para_env%sum(ga)
     521            0 :                CALL para_env%sum(sigma)
     522            0 :                IF (iw > 0) THEN
     523            0 :                   CALL verror(dEdcn, Edcn, ev1, ev2)
     524            0 :                   WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Derivative dEdcn", ev1, ev2, " %"
     525            0 :                   CALL gerror(ga, gdeb(:, :, 4), ev1, ev2, ev3, ev4)
     526            0 :                   WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| RMS error Gradient [dEdcn]", ev1, ev2, " %"
     527            0 :                   WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Gradient [dEdcn]", ev3, ev4, " %"
     528            0 :                   IF (use_virial) THEN
     529            0 :                      CALL serror(sigma, sdeb(:, :, 4), ev1, ev2)
     530            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Stress [dEdcn]", ev1, ev2, " %"
     531              :                   END IF
     532              :                END IF
     533              :             END IF
     534              :          END IF
     535          904 :          DEALLOCATE (q_red, cn_red)
     536          904 :          CALL cnumber_release(cn, dcnum, grad)
     537          904 :          te = m_walltime()
     538          904 :          tc = tc + te - ts
     539              : 
     540          904 :          IF (debug) THEN
     541            0 :             ta = SUM(energies)
     542            0 :             CALL para_env%sum(ta)
     543            0 :             IF (iw > 0) THEN
     544            0 :                tb = SUM(enerd2)
     545            0 :                ed2 = ta - tb
     546            0 :                pd2 = ABS(ed2)/ABS(tb)*100.
     547            0 :                WRITE (iw, '(A,T51,F14.8,T69,F10.4,A)') " DEBUG D4| Energy error 2-body", ed2, pd2, " %"
     548              :             END IF
     549            0 :             IF (dispersion_env%doabc) THEN
     550            0 :                ta = SUM(energies3)
     551            0 :                CALL para_env%sum(ta)
     552            0 :                IF (iw > 0) THEN
     553            0 :                   tb = SUM(enerd3)
     554            0 :                   ed3 = ta - tb
     555            0 :                   pd3 = ABS(ed3)/ABS(tb)*100.
     556            0 :                   WRITE (iw, '(A,T51,F14.8,T69,F10.4,A)') " DEBUG D4| Energy error 3-body", ed3, pd3, " %"
     557              :                END IF
     558              :             END IF
     559            0 :             IF (iw > 0) THEN
     560            0 :                WRITE (iw, '(A,T67,F14.4)') " DEBUG D4| Time for reference code [s]", td
     561            0 :                WRITE (iw, '(A,T67,F14.4)') " DEBUG D4| Time for production code [s]", tc
     562              :             END IF
     563              :          END IF
     564              : 
     565          904 :          IF (dispersion_env%doabc) THEN
     566          442 :             energies(:) = energies(:) + energies3(:)
     567              :          END IF
     568         4762 :          evdw = SUM(energies)
     569          904 :          IF (PRESENT(atomic_energy)) THEN
     570            0 :             atomic_energy(1:natom_full) = energies(1:natom_full)
     571              :          END IF
     572              : 
     573          904 :          IF (use_virial .AND. calculate_forces) THEN
     574           78 :             virial%pv_virial = virial%pv_virial - stress
     575              :          END IF
     576          904 :          IF (calculate_forces) THEN
     577          158 :             DO iatom = 1, natom_full
     578          136 :                IF (atom_map(iatom) == 0) CYCLE
     579          136 :                ikind = kind_of(iatom)
     580          136 :                atoma = atom_of_kind(iatom)
     581              :                force(ikind)%dispersion(:, atoma) = &
     582          566 :                   force(ikind)%dispersion(:, atoma) + gradient(:, iatom)
     583              :             END DO
     584              :          END IF
     585              : 
     586          904 :          DEALLOCATE (energies)
     587          904 :          IF (dispersion_env%doabc) DEALLOCATE (energies3)
     588          904 :          IF (grad) THEN
     589           22 :             DEALLOCATE (gradient, ga)
     590              :          END IF
     591              : 
     592              :       END IF
     593              : 
     594          910 :       DEALLOCATE (xyz, atomtype, atom_map, atom_map_back, species, exclude_ghost)
     595              : 
     596          910 :       CALL timestop(handle)
     597              : 
     598         1820 :    END SUBROUTINE calculate_dispersion_d4_pairpot
     599              : 
     600              : ! **************************************************************************************************
     601              : !> \brief ...
     602              : !> \param param ...
     603              : !> \param disp ...
     604              : !> \param mol ...
     605              : !> \param cutoff ...
     606              : !> \param grad ...
     607              : !> \param doabc ...
     608              : !> \param enerd2 ...
     609              : !> \param enerd3 ...
     610              : !> \param cnd ...
     611              : !> \param qd ...
     612              : !> \param dEdcn ...
     613              : !> \param dEdq ...
     614              : !> \param gradient ...
     615              : !> \param stress ...
     616              : ! **************************************************************************************************
     617            0 :    SUBROUTINE refd4_debug(param, disp, mol, cutoff, grad, doabc, &
     618              :                           enerd2, enerd3, cnd, qd, dEdcn, dEdq, gradient, stress)
     619              :       CLASS(damping_param)                               :: param
     620              :       TYPE(d4_model)                                     :: disp
     621              :       TYPE(structure_type)                               :: mol
     622              :       TYPE(realspace_cutoff)                             :: cutoff
     623            0 :       TYPE(error_type), ALLOCATABLE                      :: error
     624              :       LOGICAL, INTENT(IN)                                :: grad, doabc
     625              :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: enerd2, enerd3, cnd, qd, dEdcn, dEdq
     626              :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: gradient
     627              :       REAL(KIND=dp), DIMENSION(3, 3, 4)                  :: stress
     628              : 
     629              :       INTEGER                                            :: mref, natom, i, ncoup
     630            0 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: q, qq
     631            0 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: lattr, c6, dc6dcn, dc6dq
     632            0 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: cndr, cndL, qdr, qdL, gwdcn, gwdq, gwvec
     633              : 
     634            0 :       mref = MAXVAL(disp%ref)
     635            0 :       natom = mol%nat
     636            0 :       ncoup = disp%ncoup
     637              : 
     638              :       ! Coordination numbers
     639            0 :       ALLOCATE (cnd(natom))
     640            0 :       IF (grad) ALLOCATE (cndr(3, natom, natom), cndL(3, 3, natom))
     641            0 :       CALL get_lattice_points(mol%periodic, mol%lattice, cutoff%cn, lattr)
     642              :       CALL get_coordination_number(mol, lattr, cutoff%cn, disp%rcov, disp%en, &
     643            0 :                                    cnd, cndr, cndL)
     644              :       ! EEQ charges
     645            0 :       ALLOCATE (qd(natom))
     646            0 :       IF (grad) ALLOCATE (qdr(3, natom, natom), qdL(3, 3, natom))
     647            0 :       CALL get_charges(disp%mchrg, mol, error, qd, qdr, qdL)
     648            0 :       IF (ALLOCATED(error)) THEN
     649            0 :          CPABORT(error%message)
     650              :       END IF
     651              :       ! C6 interpolation
     652            0 :       ALLOCATE (gwvec(mref, natom, ncoup))
     653            0 :       IF (grad) ALLOCATE (gwdcn(mref, natom, ncoup), gwdq(mref, natom, ncoup))
     654            0 :       CALL disp%weight_references(mol, cnd, qd, gwvec, gwdcn, gwdq)
     655            0 :       ALLOCATE (c6(natom, natom))
     656            0 :       IF (grad) ALLOCATE (dc6dcn(natom, natom), dc6dq(natom, natom))
     657            0 :       CALL disp%get_atomic_c6(mol, gwvec, gwdcn, gwdq, c6, dc6dcn, dc6dq)
     658            0 :       CALL get_lattice_points(mol%periodic, mol%lattice, cutoff%disp2, lattr)
     659              :       !
     660            0 :       IF (grad) THEN
     661            0 :          ALLOCATE (gradient(3, natom, 4))
     662            0 :          gradient = 0.0_dp
     663            0 :          stress = 0.0_dp
     664              :       END IF
     665              :       !
     666            0 :       ALLOCATE (enerd2(natom))
     667            0 :       enerd2(:) = 0.0_dp
     668            0 :       IF (grad) THEN
     669            0 :          ALLOCATE (dEdcn(natom), dEdq(natom))
     670            0 :          dEdcn(:) = 0.0_dp; dEdq(:) = 0.0_dp
     671              :       END IF
     672              :       CALL param%get_dispersion2(mol, lattr, cutoff%disp2, cutoff%width2, disp%r4r2, c6, &
     673              :                                  dc6dcn, dc6dq, enerd2, dEdcn, dEdq, gradient(:, :, 1), &
     674            0 :                                  stress(:, :, 1))
     675              :       !
     676            0 :       IF (grad) THEN
     677            0 :          DO i = 1, 3
     678            0 :             gradient(i, :, 2) = MATMUL(qdr(i, :, :), dEdq(:))
     679            0 :             stress(i, :, 2) = MATMUL(qdL(i, :, :), dEdq(:))
     680              :          END DO
     681              :       END IF
     682              :       !
     683            0 :       IF (doabc) THEN
     684            0 :          ALLOCATE (q(natom), qq(natom))
     685            0 :          q(:) = 0.0_dp; qq(:) = 0.0_dp
     686            0 :          ALLOCATE (enerd3(natom))
     687            0 :          enerd3(:) = 0.0_dp
     688            0 :          CALL disp%weight_references(mol, cnd, q, gwvec, gwdcn, gwdq)
     689            0 :          CALL disp%get_atomic_c6(mol, gwvec, gwdcn, gwdq, c6, dc6dcn, dc6dq)
     690            0 :          CALL get_lattice_points(mol%periodic, mol%lattice, cutoff%disp3, lattr)
     691              :          CALL param%get_dispersion3(mol, lattr, cutoff%disp3, cutoff%width3, disp%r4r2, c6, &
     692              :                                     dc6dcn, dc6dq, enerd3, dEdcn, qq, gradient(:, :, 3), &
     693            0 :                                     stress(:, :, 3))
     694              :       END IF
     695            0 :       IF (grad) THEN
     696            0 :          DO i = 1, 3
     697            0 :             gradient(i, :, 4) = MATMUL(cndr(i, :, :), dEdcn(:))
     698            0 :             stress(i, :, 4) = MATMUL(cndL(i, :, :), dEdcn(:))
     699              :          END DO
     700              :       END IF
     701              : 
     702            0 :    END SUBROUTINE refd4_debug
     703              : 
     704              : #else
     705              : 
     706              : ! **************************************************************************************************
     707              : !> \brief ...
     708              : !> \param qs_env ...
     709              : !> \param dispersion_env ...
     710              : !> \param evdw ...
     711              : !> \param calculate_forces ...
     712              : !> \param iw ...
     713              : !> \param atomic_energy ...
     714              : ! **************************************************************************************************
     715              :    SUBROUTINE calculate_dispersion_d4_pairpot(qs_env, dispersion_env, evdw, calculate_forces, &
     716              :                                               iw, atomic_energy)
     717              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     718              :       TYPE(qs_dispersion_type), INTENT(IN), POINTER      :: dispersion_env
     719              :       REAL(KIND=dp), INTENT(INOUT)                       :: evdw
     720              :       LOGICAL, INTENT(IN)                                :: calculate_forces
     721              :       INTEGER, INTENT(IN)                                :: iw
     722              :       REAL(KIND=dp), DIMENSION(:), OPTIONAL              :: atomic_energy
     723              : 
     724              :       MARK_USED(qs_env)
     725              :       MARK_USED(dispersion_env)
     726              :       MARK_USED(evdw)
     727              :       MARK_USED(calculate_forces)
     728              :       MARK_USED(iw)
     729              :       MARK_USED(atomic_energy)
     730              : 
     731              :       CPABORT("CP2K build without DFTD4")
     732              : 
     733              :    END SUBROUTINE calculate_dispersion_d4_pairpot
     734              : 
     735              : #endif
     736              : 
     737              : ! **************************************************************************************************
     738              : !> \brief ...
     739              : !> \param dispersion_env ...
     740              : !> \param cutoff ...
     741              : !> \param r4r2 ...
     742              : !> \param gwvec ...
     743              : !> \param gwdcn ...
     744              : !> \param gwdq ...
     745              : !> \param c6ref ...
     746              : !> \param mrefs ...
     747              : !> \param energies ...
     748              : !> \param dEdcn ...
     749              : !> \param dEdq ...
     750              : !> \param calculate_forces ...
     751              : !> \param gradient ...
     752              : !> \param stress ...
     753              : !> \param atom_map ...
     754              : !> \param species ...
     755              : ! **************************************************************************************************
     756         2712 :    SUBROUTINE dispersion_2b(dispersion_env, cutoff, r4r2, &
     757         2668 :                             gwvec, gwdcn, gwdq, c6ref, mrefs, &
     758         1808 :                             energies, dEdcn, dEdq, &
     759         1786 :                             calculate_forces, gradient, stress, &
     760          904 :                             atom_map, species)
     761              :       TYPE(qs_dispersion_type), POINTER                  :: dispersion_env
     762              :       REAL(KIND=dp), INTENT(IN)                          :: cutoff
     763              :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: r4r2
     764              :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(IN)      :: gwvec, gwdcn, gwdq
     765              :       REAL(KIND=dp), DIMENSION(:, :, :, :), INTENT(IN)   :: c6ref
     766              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: mrefs
     767              :       REAL(KIND=dp), DIMENSION(:), INTENT(INOUT)         :: energies, dEdcn, dEdq
     768              :       LOGICAL, INTENT(IN)                                :: calculate_forces
     769              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: gradient, stress
     770              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: atom_map, species
     771              : 
     772              :       INTEGER                                            :: ia, iatom, ik, ikind, ja, jatom, jk, &
     773              :                                                             jkind, mepos, num_pe
     774              :       REAL(KINd=dp)                                      :: a1, a2, c6ij, cutoff2, d6, d8, dE, dr2, &
     775              :                                                             edisp, fac, gdisp, r0ij, rrij, s6, s8, &
     776              :                                                             t6, t8
     777              :       REAL(KINd=dp), DIMENSION(2)                        :: dcdcn, dcdq
     778              :       REAL(KINd=dp), DIMENSION(3)                        :: dG, rij
     779              :       REAL(KINd=dp), DIMENSION(3, 3)                     :: dS
     780              :       TYPE(neighbor_list_iterator_p_type), &
     781          904 :          DIMENSION(:), POINTER                           :: nl_iterator
     782              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     783              :          POINTER                                         :: sab_vdw
     784              : 
     785          904 :       a1 = dispersion_env%a1
     786          904 :       a2 = dispersion_env%a2
     787          904 :       s6 = dispersion_env%s6
     788          904 :       s8 = dispersion_env%s8
     789          904 :       cutoff2 = cutoff*cutoff
     790              : 
     791          904 :       sab_vdw => dispersion_env%sab_vdw
     792              : 
     793          904 :       num_pe = 1
     794          904 :       CALL neighbor_list_iterator_create(nl_iterator, sab_vdw, nthread=num_pe)
     795              : 
     796          904 :       mepos = 0
     797       194149 :       DO WHILE (neighbor_list_iterate(nl_iterator, mepos=mepos) == 0)
     798              :          CALL get_iterator_info(nl_iterator, mepos=mepos, ikind=ikind, jkind=jkind, &
     799       193245 :                                 iatom=iatom, jatom=jatom, r=rij)
     800              :          ! Skip ghost/floating atoms
     801       193245 :          ia = atom_map(iatom)
     802       193245 :          ja = atom_map(jatom)
     803       193245 :          IF (ia == 0 .OR. ja == 0) CYCLE
     804              :          ! D4 species indices
     805       193215 :          ik = species(iatom)
     806       193215 :          jk = species(jatom)
     807              :          ! vdW potential
     808       772860 :          dr2 = SUM(rij(:)**2)
     809       194119 :          IF (dr2 <= cutoff2 .AND. dr2 > 0.0000001_dp) THEN
     810       191292 :             rrij = 3._dp*r4r2(ik)*r4r2(jk)
     811       191292 :             r0ij = a1*SQRT(rrij) + a2
     812       191292 :             IF (calculate_forces) THEN
     813              :                CALL get_c6derivs(c6ij, dcdcn, dcdq, ia, ja, ik, jk, &
     814        92013 :                                  gwvec, gwdcn, gwdq, c6ref, mrefs)
     815              :             ELSE
     816        99279 :                CALL get_c6value(c6ij, ia, ja, ik, jk, gwvec, c6ref, mrefs)
     817              :             END IF
     818       191292 :             fac = 1._dp
     819       191292 :             IF (iatom == jatom) fac = 0.5_dp
     820       191292 :             t6 = 1.0_dp/(dr2**3 + r0ij**6)
     821       191292 :             t8 = 1.0_dp/(dr2**4 + r0ij**8)
     822              : 
     823       191292 :             edisp = (s6*t6 + s8*rrij*t8)*fac
     824       191292 :             dE = -c6ij*edisp
     825       191292 :             energies(iatom) = energies(iatom) + dE*0.5_dp
     826       191292 :             energies(jatom) = energies(jatom) + dE*0.5_dp
     827              : 
     828       191292 :             IF (calculate_forces) THEN
     829        92013 :                d6 = -6.0_dp*dr2**2*t6**2
     830        92013 :                d8 = -8.0_dp*dr2**3*t8**2
     831        92013 :                gdisp = (s6*d6 + s8*rrij*d8)*fac
     832       368052 :                dG(:) = -c6ij*gdisp*rij(:)
     833       368052 :                gradient(:, iatom) = gradient(:, iatom) - dG
     834       368052 :                gradient(:, jatom) = gradient(:, jatom) + dG
     835      1196169 :                dS(:, :) = SPREAD(dG, 1, 3)*SPREAD(rij, 2, 3)
     836      1196169 :                stress(:, :) = stress(:, :) + dS(:, :)
     837        92013 :                dEdcn(iatom) = dEdcn(iatom) - dcdcn(1)*edisp
     838        92013 :                dEdq(iatom) = dEdq(iatom) - dcdq(1)*edisp
     839        92013 :                dEdcn(jatom) = dEdcn(jatom) - dcdcn(2)*edisp
     840        92013 :                dEdq(jatom) = dEdq(jatom) - dcdq(2)*edisp
     841              :             END IF
     842              :          END IF
     843              :       END DO
     844              : 
     845          904 :       CALL neighbor_list_iterator_release(nl_iterator)
     846              : 
     847          904 :    END SUBROUTINE dispersion_2b
     848              : 
     849              : ! **************************************************************************************************
     850              : !> \brief ...
     851              : !> \param qs_env ...
     852              : !> \param dispersion_env ...
     853              : !> \param tvec ...
     854              : !> \param cutoff ...
     855              : !> \param r4r2 ...
     856              : !> \param gwvec ...
     857              : !> \param gwdcn ...
     858              : !> \param gwdq ...
     859              : !> \param c6ref ...
     860              : !> \param mrefs ...
     861              : !> \param energies ...
     862              : !> \param dEdcn ...
     863              : !> \param dEdq ...
     864              : !> \param calculate_forces ...
     865              : !> \param gradient ...
     866              : !> \param stress ...
     867              : !> \param atom_map ...
     868              : !> \param species ...
     869              : ! **************************************************************************************************
     870           46 :    SUBROUTINE dispersion_3b(qs_env, dispersion_env, tvec, cutoff, r4r2, &
     871          118 :                             gwvec, gwdcn, gwdq, c6ref, mrefs, &
     872           92 :                             energies, dEdcn, dEdq, &
     873           82 :                             calculate_forces, gradient, stress, &
     874           46 :                             atom_map, species)
     875              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     876              :       TYPE(qs_dispersion_type), POINTER                  :: dispersion_env
     877              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN)         :: tvec
     878              :       REAL(KIND=dp), INTENT(IN)                          :: cutoff
     879              :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: r4r2
     880              :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(IN)      :: gwvec, gwdcn, gwdq
     881              :       REAL(KIND=dp), DIMENSION(:, :, :, :), INTENT(IN)   :: c6ref
     882              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: mrefs
     883              :       REAL(KIND=dp), DIMENSION(:), INTENT(INOUT)         :: energies, dEdcn, dEdq
     884              :       LOGICAL, INTENT(IN)                                :: calculate_forces
     885              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: gradient, stress
     886              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: atom_map, species
     887              : 
     888              :       INTEGER                                            :: ia, iatom, ik, ikind, ja, jatom, jk, &
     889              :                                                             jkind, ka, katom, kk, ktr, mepos, &
     890              :                                                             natom, num_pe
     891           46 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: kind_of
     892              :       INTEGER, DIMENSION(3)                              :: cell_b
     893              :       REAL(KINd=dp)                                      :: a1, a2, alp, ang, c6ij, c6ik, c6jk, c9, &
     894              :                                                             cutoff2, dang, dE, dfdmp, fac, fdmp, &
     895              :                                                             r0, r0ij, r0ik, r0jk, r1, r2, r2ij, &
     896              :                                                             r2ik, r2jk, r3, r5, rr, s6, s8, s9
     897           46 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: rcpbc
     898              :       REAL(KINd=dp), DIMENSION(2)                        :: dc6dcnij, dc6dcnik, dc6dcnjk, dc6dqij, &
     899              :                                                             dc6dqik, dc6dqjk
     900              :       REAL(KINd=dp), DIMENSION(3)                        :: dGij, dGik, dGjk, ra, rb, rb0, rij, vij, &
     901              :                                                             vik, vjk
     902              :       REAL(KINd=dp), DIMENSION(3, 3)                     :: dS
     903           46 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     904              :       TYPE(cell_type), POINTER                           :: cell
     905              :       TYPE(neighbor_list_iterator_p_type), &
     906           46 :          DIMENSION(:), POINTER                           :: nl_iterator
     907              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     908           46 :          POINTER                                         :: sab_vdw
     909           46 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     910              : 
     911              :       CALL get_qs_env(qs_env=qs_env, natom=natom, cell=cell, &
     912           46 :                       atomic_kind_set=atomic_kind_set, particle_set=particle_set)
     913              : 
     914          138 :       ALLOCATE (rcpbc(3, natom))
     915          442 :       DO iatom = 1, natom
     916          442 :          rcpbc(:, iatom) = pbc(particle_set(iatom)%r(:), cell)
     917              :       END DO
     918           46 :       CALL get_atomic_kind_set(atomic_kind_set, kind_of=kind_of)
     919              : 
     920           46 :       a1 = dispersion_env%a1
     921           46 :       a2 = dispersion_env%a2
     922           46 :       s6 = dispersion_env%s6
     923           46 :       s8 = dispersion_env%s8
     924           46 :       s9 = dispersion_env%s9
     925           46 :       alp = dispersion_env%alp
     926              : 
     927           46 :       cutoff2 = cutoff**2
     928              : 
     929           46 :       sab_vdw => dispersion_env%sab_vdw
     930              : 
     931           46 :       num_pe = 1
     932           46 :       CALL neighbor_list_iterator_create(nl_iterator, sab_vdw, nthread=num_pe)
     933              : 
     934           46 :       mepos = 0
     935       131209 :       DO WHILE (neighbor_list_iterate(nl_iterator, mepos=mepos) == 0)
     936       131163 :          CALL get_iterator_info(nl_iterator, mepos=mepos, ikind=ikind, jkind=jkind, iatom=iatom, jatom=jatom, r=rij)
     937              : 
     938              :          ! Skip ghost/floating atoms
     939       131163 :          ia = atom_map(iatom)
     940       131163 :          ja = atom_map(jatom)
     941       131163 :          IF (ia == 0 .OR. ja == 0) CYCLE
     942       131133 :          ik = species(iatom)
     943       131133 :          jk = species(jatom)
     944              : 
     945       524532 :          r2ij = SUM(rij(:)**2)
     946       131133 :          IF (calculate_forces) THEN
     947              :             CALL get_c6derivs(c6ij, dc6dcnij, dc6dqij, ia, ja, ik, jk, &
     948        89727 :                               gwvec, gwdcn, gwdq, c6ref, mrefs)
     949              :          ELSE
     950        41406 :             CALL get_c6value(c6ij, ia, ja, ik, jk, gwvec, c6ref, mrefs)
     951              :          END IF
     952       131133 :          r0ij = a1*SQRT(3._dp*r4r2(jk)*r4r2(ik)) + a2
     953       131179 :          IF (r2ij <= cutoff2 .AND. r2ij > EPSILON(1._dp)) THEN
     954        26841 :             CALL get_iterator_info(nl_iterator, cell=cell_b)
     955       429456 :             rb0(:) = MATMUL(cell%hmat, cell_b)
     956       107364 :             ra(:) = rcpbc(:, iatom)
     957       107364 :             rb(:) = rcpbc(:, jatom) + rb0
     958       107364 :             vij(:) = rb(:) - ra(:)
     959              : 
     960       132328 :             DO katom = 1, MIN(iatom, jatom)
     961       105487 :                ka = atom_map(katom)
     962       105487 :                IF (ka == 0) CYCLE
     963       105478 :                kk = species(katom)
     964       105478 :                IF (calculate_forces) THEN
     965              :                   CALL get_c6derivs(c6ik, dc6dcnik, dc6dqik, ka, ia, kk, ik, &
     966        90148 :                                     gwvec, gwdcn, gwdq, c6ref, mrefs)
     967              :                   CALL get_c6derivs(c6jk, dc6dcnjk, dc6dqjk, ka, ja, kk, jk, &
     968        90148 :                                     gwvec, gwdcn, gwdq, c6ref, mrefs)
     969              :                ELSE
     970        15330 :                   CALL get_c6value(c6ik, ka, ia, kk, ik, gwvec, c6ref, mrefs)
     971        15330 :                   CALL get_c6value(c6jk, ka, ja, kk, jk, gwvec, c6ref, mrefs)
     972              :                END IF
     973       105478 :                c9 = -s9*SQRT(ABS(c6ij*c6ik*c6jk))
     974       105478 :                r0ik = a1*SQRT(3._dp*r4r2(kk)*r4r2(ik)) + a2
     975       105478 :                r0jk = a1*SQRT(3._dp*r4r2(kk)*r4r2(jk)) + a2
     976       105478 :                r0 = r0ij*r0ik*r0jk
     977       105478 :                fac = triple_scale(iatom, jatom, katom)
     978    111665690 :                DO ktr = 1, SIZE(tvec, 2)
     979    446133448 :                   vik(:) = rcpbc(:, katom) + tvec(:, ktr) - rcpbc(:, iatom)
     980    111533362 :                   r2ik = vik(1)*vik(1) + vik(2)*vik(2) + vik(3)*vik(3)
     981    111533362 :                   IF (r2ik > cutoff2 .OR. r2ik < EPSILON(1.0_dp)) CYCLE
     982    123744248 :                   vjk(:) = rcpbc(:, katom) + tvec(:, ktr) - rb(:)
     983     30936062 :                   r2jk = vjk(1)*vjk(1) + vjk(2)*vjk(2) + vjk(3)*vjk(3)
     984     30936062 :                   IF (r2jk > cutoff2 .OR. r2jk < EPSILON(1.0_dp)) CYCLE
     985     14452920 :                   r2 = r2ij*r2ik*r2jk
     986     14452920 :                   r1 = SQRT(r2)
     987     14452920 :                   r3 = r2*r1
     988     14452920 :                   r5 = r3*r2
     989              : 
     990     14452920 :                   fdmp = 1.0_dp/(1.0_dp + 6.0_dp*(r0/r1)**(alp/3.0_dp))
     991              :                   ang = 0.375_dp*(r2ij + r2jk - r2ik)*(r2ij - r2jk + r2ik)* &
     992     14452920 :                         (-r2ij + r2jk + r2ik)/r5 + 1.0_dp/r3
     993              : 
     994     14452920 :                   rr = ang*fdmp
     995     14452920 :                   dE = rr*c9*fac
     996     14452920 :                   energies(iatom) = energies(iatom) - dE/3._dp
     997     14452920 :                   energies(jatom) = energies(jatom) - dE/3._dp
     998     14452920 :                   energies(katom) = energies(katom) - dE/3._dp
     999              : 
    1000     14558398 :                   IF (calculate_forces) THEN
    1001              : 
    1002     14258672 :                      dfdmp = -2.0_dp*alp*(r0/r1)**(alp/3.0_dp)*fdmp**2
    1003              : 
    1004              :                      ! d/drij
    1005              :                      dang = -0.375_dp*(r2ij**3 + r2ij**2*(r2jk + r2ik) &
    1006              :                                        + r2ij*(3.0_dp*r2jk**2 + 2.0_dp*r2jk*r2ik &
    1007              :                                                + 3.0_dp*r2ik**2) &
    1008     14258672 :                                        - 5.0_dp*(r2jk - r2ik)**2*(r2jk + r2ik))/r5
    1009     57034688 :                      dGij(:) = c9*(-dang*fdmp + ang*dfdmp)/r2ij*vij
    1010              : 
    1011              :                      ! d/drik
    1012              :                      dang = -0.375_dp*(r2ik**3 + r2ik**2*(r2jk + r2ij) &
    1013              :                                        + r2ik*(3.0_dp*r2jk**2 + 2.0_dp*r2jk*r2ij &
    1014              :                                                + 3.0_dp*r2ij**2) &
    1015     14258672 :                                        - 5.0_dp*(r2jk - r2ij)**2*(r2jk + r2ij))/r5
    1016     57034688 :                      dGik(:) = c9*(-dang*fdmp + ang*dfdmp)/r2ik*vik
    1017              : 
    1018              :                      ! d/drjk
    1019              :                      dang = -0.375_dp*(r2jk**3 + r2jk**2*(r2ik + r2ij) &
    1020              :                                        + r2jk*(3.0_dp*r2ik**2 + 2.0_dp*r2ik*r2ij &
    1021              :                                                + 3.0_dp*r2ij**2) &
    1022     14258672 :                                        - 5.0_dp*(r2ik - r2ij)**2*(r2ik + r2ij))/r5
    1023     57034688 :                      dGjk(:) = c9*(-dang*fdmp + ang*dfdmp)/r2jk*vjk
    1024              : 
    1025     57034688 :                      gradient(:, iatom) = gradient(:, iatom) - dGij - dGik
    1026     57034688 :                      gradient(:, jatom) = gradient(:, jatom) + dGij - dGjk
    1027     57034688 :                      gradient(:, katom) = gradient(:, katom) + dGik + dGjk
    1028              : 
    1029              :                      dS(:, :) = SPREAD(dGij, 1, 3)*SPREAD(vij, 2, 3) &
    1030              :                                 + SPREAD(dGik, 1, 3)*SPREAD(vik, 2, 3) &
    1031    185362736 :                                 + SPREAD(dGjk, 1, 3)*SPREAD(vjk, 2, 3)
    1032              : 
    1033    185362736 :                      stress(:, :) = stress + dS*fac
    1034              : 
    1035              :                      dEdcn(iatom) = dEdcn(iatom) - dE*0.5_dp &
    1036     14258672 :                                     *(dc6dcnij(1)/c6ij + dc6dcnik(2)/c6ik)
    1037              :                      dEdcn(jatom) = dEdcn(jatom) - dE*0.5_dp &
    1038     14258672 :                                     *(dc6dcnij(2)/c6ij + dc6dcnjk(2)/c6jk)
    1039              :                      dEdcn(katom) = dEdcn(katom) - dE*0.5_dp &
    1040     14258672 :                                     *(dc6dcnik(1)/c6ik + dc6dcnjk(1)/c6jk)
    1041              : 
    1042              :                      dEdq(iatom) = dEdq(iatom) - dE*0.5_dp &
    1043     14258672 :                                    *(dc6dqij(1)/c6ij + dc6dqik(2)/c6ik)
    1044              :                      dEdq(jatom) = dEdq(jatom) - dE*0.5_dp &
    1045     14258672 :                                    *(dc6dqij(2)/c6ij + dc6dqjk(2)/c6jk)
    1046              :                      dEdq(katom) = dEdq(katom) - dE*0.5_dp &
    1047     14258672 :                                    *(dc6dqik(1)/c6ik + dc6dqjk(1)/c6jk)
    1048              : 
    1049              :                   END IF
    1050              : 
    1051              :                END DO
    1052              :             END DO
    1053              :          END IF
    1054              :       END DO
    1055              : 
    1056           46 :       CALL neighbor_list_iterator_release(nl_iterator)
    1057              : 
    1058           46 :       DEALLOCATE (rcpbc)
    1059              : 
    1060           92 :    END SUBROUTINE dispersion_3b
    1061              : 
    1062              : ! **************************************************************************************************
    1063              : !> \brief ...
    1064              : !> \param ii ...
    1065              : !> \param jj ...
    1066              : !> \param kk ...
    1067              : !> \return ...
    1068              : ! **************************************************************************************************
    1069       105478 :    FUNCTION triple_scale(ii, jj, kk) RESULT(triple)
    1070              :       INTEGER, INTENT(IN)                                :: ii, jj, kk
    1071              :       REAL(KIND=dp)                                      :: triple
    1072              : 
    1073       105478 :       IF (ii == jj) THEN
    1074        25881 :          IF (ii == kk) THEN
    1075              :             ! ii'i" -> 1/6
    1076              :             triple = 1.0_dp/6.0_dp
    1077              :          ELSE
    1078              :             ! ii'j -> 1/2
    1079        20997 :             triple = 0.5_dp
    1080              :          END IF
    1081              :       ELSE
    1082        79597 :          IF (ii /= kk .AND. jj /= kk) THEN
    1083              :             ! ijk -> 1 (full)
    1084              :             triple = 1.0_dp
    1085              :          ELSE
    1086              :             ! ijj' and iji' -> 1/2
    1087        21957 :             triple = 0.5_dp
    1088              :          END IF
    1089              :       END IF
    1090              : 
    1091       105478 :    END FUNCTION triple_scale
    1092              : 
    1093              : ! **************************************************************************************************
    1094              : !> \brief ...
    1095              : !> \param qs_env ...
    1096              : !> \param dEdcn ...
    1097              : !> \param dcnum ...
    1098              : !> \param gradient ...
    1099              : !> \param stress ...
    1100              : ! **************************************************************************************************
    1101           22 :    SUBROUTINE dEdcn_force(qs_env, dEdcn, dcnum, gradient, stress)
    1102              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1103              :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: dEdcn
    1104              :       TYPE(dcnum_type), DIMENSION(:), INTENT(IN)         :: dcnum
    1105              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: gradient
    1106              :       REAL(KIND=dp), DIMENSION(3, 3), INTENT(INOUT)      :: stress
    1107              : 
    1108              :       CHARACTER(len=*), PARAMETER                        :: routineN = 'dEdcn_force'
    1109              : 
    1110              :       INTEGER                                            :: handle, i, ia, iatom, ikind, katom, &
    1111              :                                                             natom, nkind
    1112              :       LOGICAL                                            :: use_virial
    1113              :       REAL(KIND=dp)                                      :: drk
    1114              :       REAL(KIND=dp), DIMENSION(3)                        :: fdik, rik
    1115              :       TYPE(distribution_1d_type), POINTER                :: local_particles
    1116              :       TYPE(virial_type), POINTER                         :: virial
    1117              : 
    1118           22 :       CALL timeset(routineN, handle)
    1119              : 
    1120              :       CALL get_qs_env(qs_env, nkind=nkind, natom=natom, &
    1121              :                       local_particles=local_particles, &
    1122           22 :                       virial=virial)
    1123           22 :       use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
    1124              : 
    1125           76 :       DO ikind = 1, nkind
    1126          144 :          DO ia = 1, local_particles%n_el(ikind)
    1127           68 :             iatom = local_particles%list(ikind)%array(ia)
    1128          222 :             DO i = 1, dcnum(iatom)%neighbors
    1129          100 :                katom = dcnum(iatom)%nlist(i)
    1130          400 :                rik = dcnum(iatom)%rik(:, i)
    1131          400 :                drk = SQRT(SUM(rik(:)**2))
    1132          400 :                fdik(:) = -(dEdcn(iatom) + dEdcn(katom))*dcnum(iatom)%dvals(i)*rik(:)/drk
    1133          400 :                gradient(:, iatom) = gradient(:, iatom) + fdik(:)
    1134          168 :                IF (use_virial) THEN
    1135           22 :                   CALL virial_pair_force(stress, -0.5_dp, fdik, rik)
    1136              :                END IF
    1137              :             END DO
    1138              :          END DO
    1139              :       END DO
    1140              : 
    1141           22 :       CALL timestop(handle)
    1142              : 
    1143           22 :    END SUBROUTINE dEdcn_force
    1144              : 
    1145              : ! **************************************************************************************************
    1146              : !> \brief ...
    1147              : !> \param c6ij ...
    1148              : !> \param ia ...
    1149              : !> \param ja ...
    1150              : !> \param ik ...
    1151              : !> \param jk ...
    1152              : !> \param gwvec ...
    1153              : !> \param c6ref ...
    1154              : !> \param mrefs ...
    1155              : ! **************************************************************************************************
    1156       171345 :    SUBROUTINE get_c6value(c6ij, ia, ja, ik, jk, gwvec, c6ref, mrefs)
    1157              :       REAL(KIND=dp), INTENT(OUT)                         :: c6ij
    1158              :       INTEGER, INTENT(IN)                                :: ia, ja, ik, jk
    1159              :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(IN)      :: gwvec
    1160              :       REAL(KIND=dp), DIMENSION(:, :, :, :), INTENT(IN)   :: c6ref
    1161              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: mrefs
    1162              : 
    1163              :       INTEGER                                            :: iref, jref
    1164              :       REAL(KIND=dp)                                      :: refc6
    1165              : 
    1166       171345 :       c6ij = 0.0_dp
    1167       699407 :       DO jref = 1, mrefs(jk)
    1168      2665200 :          DO iref = 1, mrefs(ik)
    1169      1965793 :             refc6 = c6ref(iref, jref, ik, jk)
    1170      2493855 :             c6ij = c6ij + gwvec(iref, ia, 1)*gwvec(jref, ja, 1)*refc6
    1171              :          END DO
    1172              :       END DO
    1173              : 
    1174       171345 :    END SUBROUTINE get_c6value
    1175              : 
    1176              : ! **************************************************************************************************
    1177              : !> \brief ...
    1178              : !> \param c6ij ...
    1179              : !> \param dc6dcn ...
    1180              : !> \param dc6dq ...
    1181              : !> \param ia ...
    1182              : !> \param ja ...
    1183              : !> \param ik ...
    1184              : !> \param jk ...
    1185              : !> \param gwvec ...
    1186              : !> \param gwdcn ...
    1187              : !> \param gwdq ...
    1188              : !> \param c6ref ...
    1189              : !> \param mrefs ...
    1190              : ! **************************************************************************************************
    1191       362036 :    SUBROUTINE get_c6derivs(c6ij, dc6dcn, dc6dq, ia, ja, ik, jk, &
    1192       362036 :                            gwvec, gwdcn, gwdq, c6ref, mrefs)
    1193              :       REAL(KIND=dp), INTENT(OUT)                         :: c6ij
    1194              :       REAL(KIND=dp), DIMENSION(2), INTENT(OUT)           :: dc6dcn, dc6dq
    1195              :       INTEGER, INTENT(IN)                                :: ia, ja, ik, jk
    1196              :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(IN)      :: gwvec, gwdcn, gwdq
    1197              :       REAL(KIND=dp), DIMENSION(:, :, :, :), INTENT(IN)   :: c6ref
    1198              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: mrefs
    1199              : 
    1200              :       INTEGER                                            :: iref, jref
    1201              :       REAL(KIND=dp)                                      :: refc6
    1202              : 
    1203       362036 :       c6ij = 0.0_dp
    1204       362036 :       dc6dcn = 0.0_dp
    1205       362036 :       dc6dq = 0.0_dp
    1206      1326656 :       DO jref = 1, mrefs(jk)
    1207      4990419 :          DO iref = 1, mrefs(ik)
    1208      3663763 :             refc6 = c6ref(iref, jref, ik, jk)
    1209      3663763 :             c6ij = c6ij + gwvec(iref, ia, 1)*gwvec(jref, ja, 1)*refc6
    1210      3663763 :             dc6dcn(1) = dc6dcn(1) + gwdcn(iref, ia, 1)*gwvec(jref, ja, 1)*refc6
    1211      3663763 :             dc6dcn(2) = dc6dcn(2) + gwvec(iref, ia, 1)*gwdcn(jref, ja, 1)*refc6
    1212      3663763 :             dc6dq(1) = dc6dq(1) + gwdq(iref, ia, 1)*gwvec(jref, ja, 1)*refc6
    1213      4628383 :             dc6dq(2) = dc6dq(2) + gwvec(iref, ia, 1)*gwdq(jref, ja, 1)*refc6
    1214              :          END DO
    1215              :       END DO
    1216              : 
    1217       362036 :    END SUBROUTINE get_c6derivs
    1218              : 
    1219              : ! **************************************************************************************************
    1220              : !> \brief ...
    1221              : !> \param ga ...
    1222              : !> \param gd ...
    1223              : !> \param ev1 ...
    1224              : !> \param ev2 ...
    1225              : !> \param ev3 ...
    1226              : !> \param ev4 ...
    1227              : ! **************************************************************************************************
    1228            0 :    SUBROUTINE gerror(ga, gd, ev1, ev2, ev3, ev4)
    1229              :       REAL(KIND=dp), DIMENSION(:, :)                     :: ga, gd
    1230              :       REAL(KIND=dp), INTENT(OUT)                         :: ev1, ev2, ev3, ev4
    1231              : 
    1232              :       INTEGER                                            :: na, np(2)
    1233              : 
    1234            0 :       na = SIZE(ga, 2)
    1235            0 :       ev1 = SQRT(SUM((gd - ga)**2)/na)
    1236            0 :       ev2 = ev1/SQRT(SUM(gd**2)/na)*100._dp
    1237            0 :       np = MAXLOC(ABS(gd - ga))
    1238            0 :       ev3 = ABS(gd(np(1), np(2)) - ga(np(1), np(2)))
    1239            0 :       ev4 = ABS(gd(np(1), np(2)))
    1240            0 :       IF (ev4 > 1.E-6) THEN
    1241            0 :          ev4 = ev3/ev4*100._dp
    1242              :       ELSE
    1243            0 :          ev4 = 100.0_dp
    1244              :       END IF
    1245              : 
    1246            0 :    END SUBROUTINE gerror
    1247              : 
    1248              : ! **************************************************************************************************
    1249              : !> \brief ...
    1250              : !> \param sa ...
    1251              : !> \param sd ...
    1252              : !> \param ev1 ...
    1253              : !> \param ev2 ...
    1254              : ! **************************************************************************************************
    1255            0 :    SUBROUTINE serror(sa, sd, ev1, ev2)
    1256              :       REAL(KIND=dp), DIMENSION(3, 3)                     :: sa, sd
    1257              :       REAL(KIND=dp), INTENT(OUT)                         :: ev1, ev2
    1258              : 
    1259              :       INTEGER                                            :: i, j
    1260              :       REAL(KIND=dp)                                      :: rel
    1261              : 
    1262            0 :       ev1 = MAXVAL(ABS(sd - sa))
    1263            0 :       ev2 = 0.0_dp
    1264            0 :       DO i = 1, 3
    1265            0 :          DO j = 1, 3
    1266            0 :             IF (ABS(sd(i, j)) > 1.E-6_dp) THEN
    1267            0 :                rel = ABS(sd(i, j) - sa(i, j))/ABS(sd(i, j))*100._dp
    1268            0 :                ev2 = MAX(ev2, rel)
    1269              :             END IF
    1270              :          END DO
    1271              :       END DO
    1272              : 
    1273            0 :    END SUBROUTINE serror
    1274              : 
    1275              : ! **************************************************************************************************
    1276              : !> \brief ...
    1277              : !> \param va ...
    1278              : !> \param vd ...
    1279              : !> \param ev1 ...
    1280              : !> \param ev2 ...
    1281              : ! **************************************************************************************************
    1282            0 :    SUBROUTINE verror(va, vd, ev1, ev2)
    1283              :       REAL(KIND=dp), DIMENSION(:)                        :: va, vd
    1284              :       REAL(KIND=dp), INTENT(OUT)                         :: ev1, ev2
    1285              : 
    1286              :       INTEGER                                            :: i, na
    1287              :       REAL(KIND=dp)                                      :: rel
    1288              : 
    1289            0 :       na = SIZE(va)
    1290            0 :       ev1 = MAXVAL(ABS(vd - va))
    1291            0 :       ev2 = 0.0_dp
    1292            0 :       DO i = 1, na
    1293            0 :          IF (ABS(vd(i)) > 1.E-8_dp) THEN
    1294            0 :             rel = ABS(vd(i) - va(i))/ABS(vd(i))*100._dp
    1295            0 :             ev2 = MAX(ev2, rel)
    1296              :          END IF
    1297              :       END DO
    1298              : 
    1299            0 :    END SUBROUTINE verror
    1300              : 
    1301          910 : END MODULE qs_dispersion_d4
        

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