LCOV - code coverage report
Current view: top level - src - qs_dispersion_d4.F (source / functions) Coverage Total Hit
Test: CP2K Regtests (git:24d69ee) Lines: 70.5 % 580 409
Test Date: 2026-09-03 07:32:15 Functions: 63.6 % 11 7

            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 ...
      79              : !> \param qs_env ...
      80              : !> \param dispersion_env ...
      81              : !> \param evdw ...
      82              : !> \param calculate_forces ...
      83              : !> \param iw ...
      84              : !> \param atomic_energy ...
      85              : ! **************************************************************************************************
      86          916 :    SUBROUTINE calculate_dispersion_d4_pairpot(qs_env, dispersion_env, evdw, calculate_forces, iw, &
      87          916 :                                               atomic_energy)
      88              :       TYPE(qs_environment_type), POINTER                 :: qs_env
      89              :       TYPE(qs_dispersion_type), INTENT(IN), POINTER      :: dispersion_env
      90              :       REAL(KIND=dp), INTENT(INOUT)                       :: evdw
      91              :       LOGICAL, INTENT(IN)                                :: calculate_forces
      92              :       INTEGER, INTENT(IN)                                :: iw
      93              :       REAL(KIND=dp), DIMENSION(:), OPTIONAL              :: atomic_energy
      94              : 
      95              :       CHARACTER(LEN=*), PARAMETER :: routineN = 'calculate_dispersion_d4_pairpot'
      96              : 
      97              :       INTEGER                                            :: atoma, cnfun, enshift, handle, i, iatom, &
      98              :                                                             ifull, ikind, mref, natom, natom_full, &
      99              :                                                             ncoup, nghost
     100          916 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: atom_map, atom_map_back, atom_of_kind, &
     101          916 :                                                             atomtype, kind_of, species, t_atomtype
     102              :       INTEGER, DIMENSION(3)                              :: periodic
     103              :       LOGICAL                                            :: debug, grad, ifloating, ighost, &
     104              :                                                             use_virial
     105          916 :       LOGICAL, ALLOCATABLE, DIMENSION(:)                 :: a_ghost, exclude_ghost
     106              :       LOGICAL, DIMENSION(3)                              :: lperiod
     107              :       REAL(KIND=dp)                                      :: ed2, ed3, ev1, ev2, ev3, ev4, pd2, pd3, &
     108              :                                                             ta, tb, tc, td, te, ts
     109          916 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: cn, cn_red, cnd, dEdcn, dEdq, edcn, edq, &
     110          916 :                                                             enerd2, enerd3, energies, energies3, &
     111          916 :                                                             q_red, qd
     112          916 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: ga, gradient, t_xyz, tvec, xyz
     113          916 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: gdeb, gwdcn, gwdq, gwvec
     114              :       REAL(KIND=dp), DIMENSION(3, 3)                     :: sigma, stress
     115              :       REAL(KIND=dp), DIMENSION(3, 3, 4)                  :: sdeb
     116          916 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     117              :       TYPE(cell_type), POINTER                           :: cell
     118          916 :       TYPE(dcnum_type), ALLOCATABLE, DIMENSION(:)        :: dcnum
     119              :       TYPE(mp_para_env_type), POINTER                    :: para_env
     120          916 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     121          916 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     122          916 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     123              :       TYPE(virial_type), POINTER                         :: virial
     124              : 
     125         1832 :       CLASS(damping_param), ALLOCATABLE                  :: param
     126          916 :       TYPE(d4_model)                                     :: disp
     127          916 :       TYPE(structure_type)                               :: mol
     128              :       TYPE(realspace_cutoff)                             :: cutoff
     129              : 
     130          916 :       TYPE(error_type), ALLOCATABLE                      :: error
     131              : 
     132          916 :       CALL timeset(routineN, handle)
     133              : 
     134          916 :       debug = dispersion_env%d4_debug
     135              : 
     136              :       CALL get_qs_env(qs_env=qs_env, particle_set=particle_set, atomic_kind_set=atomic_kind_set, &
     137          916 :                       cell=cell, force=force, virial=virial, para_env=para_env)
     138          916 :       CALL get_atomic_kind_set(atomic_kind_set, atom_of_kind=atom_of_kind, kind_of=kind_of)
     139              : 
     140              :       !get information about particles
     141          916 :       natom_full = SIZE(particle_set)
     142          916 :       nghost = 0
     143         5496 :       ALLOCATE (t_xyz(3, natom_full), t_atomtype(natom_full), a_ghost(natom_full))
     144          916 :       CALL get_qs_env(qs_env=qs_env, qs_kind_set=qs_kind_set)
     145         4858 :       DO iatom = 1, natom_full
     146        15768 :          t_xyz(:, iatom) = particle_set(iatom)%r(:)
     147         3942 :          ikind = kind_of(iatom)
     148         3942 :          CALL get_qs_kind(qs_kind_set(ikind), zatom=t_atomtype(iatom), ghost=ighost, floating=ifloating)
     149         3942 :          a_ghost(iatom) = ighost .OR. ifloating
     150         4858 :          IF (a_ghost(iatom)) nghost = nghost + 1
     151              :       END DO
     152              : 
     153          916 :       natom = natom_full - nghost
     154              :       ! Build atom mapping: full index -> reduced index (0 for ghost)
     155         3664 :       ALLOCATE (atom_map(natom_full), atom_map_back(natom))
     156          916 :       atom_map = 0
     157          916 :       iatom = 0
     158         3664 :       ALLOCATE (xyz(3, natom), atomtype(natom))
     159         4858 :       DO i = 1, natom_full
     160         4858 :          IF (.NOT. a_ghost(i)) THEN
     161         3930 :             iatom = iatom + 1
     162         3930 :             atom_map(i) = iatom
     163         3930 :             atom_map_back(iatom) = i
     164        15720 :             xyz(:, iatom) = t_xyz(:, i)
     165         3930 :             atomtype(iatom) = t_atomtype(i)
     166              :          END IF
     167              :       END DO
     168          916 :       DEALLOCATE (a_ghost, t_xyz, t_atomtype)
     169              : 
     170              :       !get information about cell / lattice
     171          916 :       CALL get_cell(cell=cell, periodic=periodic)
     172          916 :       lperiod(1) = periodic(1) == 1
     173          916 :       lperiod(2) = periodic(2) == 1
     174          916 :       lperiod(3) = periodic(3) == 1
     175              :       ! enforce en shift method 1 (original/molecular)
     176              :       ! method 2 from paper on PBC seems not to work
     177          916 :       enshift = 1
     178              :       !IF (ALL(periodic == 0)) enshift = 1
     179              : 
     180              :       !prepare for the call to the dispersion function
     181          916 :       CALL new(mol, atomtype, xyz, lattice=cell%hmat, periodic=lperiod)
     182          916 :       CALL new_d4_model(error, disp, mol)
     183          916 :       IF (ALLOCATED(error)) THEN
     184            0 :          CPABORT(error%message)
     185              :       END IF
     186              : 
     187              :       ! Number of coupling
     188          916 :       ncoup = disp%ncoup
     189              : 
     190              :       ! Build species mapping: full atom index -> D4 species ID (0 for ghost)
     191         1832 :       ALLOCATE (species(natom_full))
     192          916 :       species = 0
     193         4846 :       DO i = 1, natom
     194         4846 :          species(atom_map_back(i)) = mol%id(i)
     195              :       END DO
     196              : 
     197              :       ! Build per-kind exclusion mask for EEQ (ghost/floating kinds excluded)
     198         2748 :       ALLOCATE (exclude_ghost(SIZE(qs_kind_set)))
     199          916 :       exclude_ghost = .FALSE.
     200         3048 :       DO i = 1, SIZE(qs_kind_set)
     201         2132 :          CALL get_qs_kind(qs_kind_set(i), ghost=ighost, floating=ifloating)
     202         5172 :          exclude_ghost(i) = ighost .OR. ifloating
     203              :       END DO
     204              : 
     205          916 :       IF (dispersion_env%ref_functional == "none") THEN
     206          862 :          CALL get_rational_damping("pbe", param, s9=0.0_dp)
     207          862 :          IF (.NOT. ALLOCATED(param)) THEN
     208            0 :             CPABORT("D4: Failed to get rational damping parameters for default functional")
     209              :          END IF
     210              :          SELECT TYPE (param)
     211              :          TYPE is (rational_damping_param)
     212          862 :             param%s6 = dispersion_env%s6
     213          862 :             param%s8 = dispersion_env%s8
     214          862 :             param%a1 = dispersion_env%a1
     215          862 :             param%a2 = dispersion_env%a2
     216          862 :             param%alp = dispersion_env%alp
     217              :          END SELECT
     218              :       ELSE
     219           54 :          CALL get_rational_damping(dispersion_env%ref_functional, param, s9=dispersion_env%s9)
     220           54 :          IF (.NOT. ALLOCATED(param)) THEN
     221            0 :             CPABORT("D4: Unknown reference functional '"//TRIM(dispersion_env%ref_functional)//"'")
     222              :          END IF
     223              :          SELECT TYPE (param)
     224              :          TYPE is (rational_damping_param)
     225           54 :             dispersion_env%s6 = param%s6
     226           54 :             dispersion_env%s8 = param%s8
     227           54 :             dispersion_env%a1 = param%a1
     228           54 :             dispersion_env%a2 = param%a2
     229           54 :             dispersion_env%alp = param%alp
     230              :          END SELECT
     231              :       END IF
     232              : 
     233              :       ! Coordination number cutoff
     234          916 :       cutoff%cn = dispersion_env%rc_cn
     235              :       ! Two-body interaction cutoff
     236          916 :       cutoff%disp2 = dispersion_env%rc_d4*2._dp
     237              :       ! Three-body interaction cutoff
     238          916 :       cutoff%disp3 = dispersion_env%rc_disp*2._dp
     239          916 :       IF (cutoff%disp3 > cutoff%disp2) THEN
     240            0 :          CPABORT("D4: Three-body cutoff should be smaller than two-body cutoff")
     241              :       END IF
     242          916 :       cutoff%width2 = dispersion_env%d4_cutoff_width
     243          916 :       cutoff%width3 = dispersion_env%d4_3b_cutoff_width
     244          916 :       IF (cutoff%width2 < 0.0_dp .OR. cutoff%width2 >= cutoff%disp2) THEN
     245            0 :          CPABORT("D4: Two-body cutoff width must be non-negative and smaller than the cutoff")
     246              :       END IF
     247          916 :       IF (cutoff%width3 < 0.0_dp .OR. cutoff%width3 >= cutoff%disp3) THEN
     248            0 :          CPABORT("D4: Three-body cutoff width must be non-negative and smaller than the cutoff")
     249              :       END IF
     250              : 
     251          916 :       IF (calculate_forces) THEN
     252           28 :          grad = .TRUE.
     253           28 :          use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
     254              :       ELSE
     255          888 :          grad = .FALSE.
     256          888 :          use_virial = .FALSE.
     257              :       END IF
     258              : 
     259          916 :       IF (dispersion_env%d4_reference_code) THEN
     260              : 
     261              :          !> Wrapper to handle the evaluation of dispersion energy and derivatives
     262            6 :          IF (.NOT. dispersion_env%doabc) THEN
     263            0 :             CPWARN("Using D4_REFERENCE_CODE enforces calculation of C9 term.")
     264              :          END IF
     265            6 :          IF (grad) THEN
     266            4 :             ALLOCATE (gradient(3, natom))
     267            2 :             CALL get_dispersion(mol, disp, param, cutoff, evdw, gradient, stress)
     268            2 :             IF (calculate_forces) THEN
     269            2 :                IF (use_virial) THEN
     270            0 :                   virial%pv_virial = virial%pv_virial - stress/para_env%num_pe
     271              :                END IF
     272           22 :                DO iatom = 1, natom
     273           20 :                   ifull = atom_map_back(iatom)
     274           20 :                   ikind = kind_of(ifull)
     275           20 :                   atoma = atom_of_kind(ifull)
     276              :                   force(ikind)%dispersion(:, atoma) = &
     277           82 :                      force(ikind)%dispersion(:, atoma) + gradient(:, iatom)/para_env%num_pe
     278              :                END DO
     279              :             END IF
     280            2 :             DEALLOCATE (gradient)
     281              :          ELSE
     282            4 :             CALL get_dispersion(mol, disp, param, cutoff, evdw)
     283              :          END IF
     284              :          !dispersion energy is computed by every MPI process
     285            6 :          evdw = evdw/para_env%num_pe
     286            6 :          IF (dispersion_env%ext_charges) dispersion_env%dcharges = 0.0_dp
     287            6 :          IF (PRESENT(atomic_energy)) THEN
     288            0 :             CPWARN("Atomic energies not available for D4 reference code")
     289            0 :             atomic_energy = 0.0_dp
     290              :          END IF
     291              : 
     292              :       ELSE
     293              : 
     294          910 :          IF (iw > 0) THEN
     295            0 :             WRITE (iw, '(/,T2,A)') '!-----------------------------------------------------------------------------!'
     296            0 :             WRITE (iw, FMT="(T32,A)") "DEBUG D4 DISPERSION"
     297            0 :             WRITE (iw, '(T2,A)') '!-----------------------------------------------------------------------------!'
     298            0 :             WRITE (iw, '(A,T71,A10)') " DEBUG D4| Reference functional   ", TRIM(dispersion_env%ref_functional)
     299            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| Scaling parameter (s6) ", dispersion_env%s6
     300            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| Scaling parameter (s8) ", dispersion_env%s8
     301            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| BJ Damping parameter (a1) ", dispersion_env%a1
     302            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| BJ Damping parameter (a2) ", dispersion_env%a2
     303            0 :             WRITE (iw, '(A,T71,E10.4)') " DEBUG D4| Cutoff value coordination numbers ", dispersion_env%eps_cn
     304            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| Cutoff radius coordination numbers ", dispersion_env%rc_cn
     305            0 :             WRITE (iw, '(A,T71,I10)') " DEBUG D4| Coordination number function type ", dispersion_env%cnfun
     306            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| Cutoff radius 2-body terms [bohr]", 2._dp*dispersion_env%rc_d4
     307            0 :             WRITE (iw, '(A,T71,F10.4)') " DEBUG D4| Cutoff radius 3-body terms [bohr]", 2._dp*dispersion_env%rc_disp
     308              :          END IF
     309              : 
     310          910 :          td = 0.0_dp
     311          910 :          IF (debug .AND. iw > 0) THEN
     312            0 :             ts = m_walltime()
     313              :             CALL refd4_debug(param, disp, mol, cutoff, grad, dispersion_env%doabc, &
     314            0 :                              enerd2, enerd3, cnd, qd, Edcn, Edq, gdeb, sdeb)
     315            0 :             te = m_walltime()
     316            0 :             td = te - ts
     317              :          END IF
     318              : 
     319          910 :          tc = 0.0_dp
     320          910 :          ts = m_walltime()
     321              : 
     322         3022 :          mref = MAXVAL(disp%ref)
     323              :          ! Coordination numbers (full-size from qs_env; ghosts excluded internally)
     324          910 :          cnfun = dispersion_env%cnfun
     325          910 :          CALL cnumber_init(qs_env, cn, dcnum, cnfun, grad)
     326              :          ! cn has size natom_full; ghost entries are 0
     327              : 
     328              :          ! Filter CN to reduced space for D4 model
     329         2730 :          ALLOCATE (cn_red(natom))
     330         4780 :          DO i = 1, natom
     331         4780 :             cn_red(i) = cn(atom_map_back(i))
     332              :          END DO
     333          910 :          IF (debug .AND. iw > 0) THEN
     334            0 :             WRITE (iw, '(A,T71,F10.6)') " DEBUG D4| CN differences (max)", MAXVAL(ABS(cn_red - cnd))
     335            0 :             WRITE (iw, '(A,T71,F10.6)') " DEBUG D4| CN differences (ave)", SUM(ABS(cn_red - cnd))/natom
     336              :          END IF
     337              : 
     338              :          ! EEQ charges
     339              :          ! Use CP2K's MPI-parallel EEQ solver with ghost exclusion.
     340              :          ! Ghost kinds get huge hardness + zero coupling -> q_ghost = 0 exactly,
     341              :          ! without influencing real atom charges. Preserves full MPI parallelism.
     342          910 :          IF (dispersion_env%ext_charges) THEN
     343         1716 :             ALLOCATE (q_red(natom))
     344         4320 :             q_red(1:natom) = dispersion_env%charges(1:natom)
     345              :          ELSE
     346              :             ! eeq_charges writes natom_full entries (from qs_env), so allocate full-size
     347          156 :             ALLOCATE (q_red(natom_full))
     348              :             CALL eeq_charges(qs_env, q_red, dispersion_env%eeq_sparam, 2, enshift, &
     349           52 :                              exclude=exclude_ghost, cn_max=8.0_dp)
     350              :             ! Filter to reduced size for D4 model
     351              :             BLOCK
     352           52 :                REAL(KIND=dp), ALLOCATABLE :: q_tmp(:)
     353          104 :                ALLOCATE (q_tmp(natom))
     354          460 :                DO i = 1, natom
     355          460 :                   q_tmp(i) = q_red(atom_map_back(i))
     356              :                END DO
     357           52 :                DEALLOCATE (q_red)
     358           52 :                CALL MOVE_ALLOC(q_tmp, q_red)
     359              :             END BLOCK
     360              :          END IF
     361          910 :          IF (debug .AND. iw > 0) THEN
     362            0 :             WRITE (iw, '(A,T71,F10.6)') " DEBUG D4| Charge differences (max)", MAXVAL(ABS(q_red - qd))
     363            0 :             WRITE (iw, '(A,T71,F10.6)') " DEBUG D4| Charge differences (ave)", SUM(ABS(q_red - qd))/natom
     364              :          END IF
     365              :          ! Weights for C6 calculation (reduced space)
     366         4550 :          ALLOCATE (gwvec(mref, natom, ncoup))
     367         1066 :          IF (grad) ALLOCATE (gwdcn(mref, natom, ncoup), gwdq(mref, natom, ncoup))
     368          910 :          CALL disp%weight_references(mol, cn_red, q_red, gwvec, gwdcn, gwdq)
     369              : 
     370              :          ! Energies and derivatives (full-size for CP2K infrastructure compatibility)
     371         2730 :          ALLOCATE (energies(natom_full))
     372          910 :          energies(:) = 0.0_dp
     373          910 :          IF (grad) THEN
     374           78 :             ALLOCATE (gradient(3, natom_full), ga(3, natom_full))
     375           78 :             ALLOCATE (dEdcn(natom_full), dEdq(natom_full))
     376           26 :             dEdcn(:) = 0.0_dp; dEdq(:) = 0.0_dp
     377           26 :             ga(:, :) = 0.0_dp
     378           26 :             sigma(:, :) = 0.0_dp
     379              :          END IF
     380              :          CALL dispersion_2b(dispersion_env, cutoff%disp2, disp%r4r2, &
     381              :                             gwvec, gwdcn, gwdq, disp%c6, disp%ref, &
     382              :                             energies, dEdcn, dEdq, grad, ga, sigma, &
     383          910 :                             atom_map, species)
     384          910 :          IF (grad) THEN
     385          634 :             gradient(1:3, 1:natom_full) = ga(1:3, 1:natom_full)
     386           26 :             stress = sigma
     387           26 :             IF (debug) THEN
     388            0 :                CALL para_env%sum(ga)
     389            0 :                CALL para_env%sum(sigma)
     390            0 :                IF (iw > 0) THEN
     391            0 :                   CALL gerror(ga, gdeb(:, :, 1), ev1, ev2, ev3, ev4)
     392            0 :                   WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| RMS error Gradient [2B]", ev1, ev2, " %"
     393            0 :                   WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Gradient [2B]", ev3, ev4, " %"
     394            0 :                   IF (use_virial) THEN
     395            0 :                      CALL serror(sigma, sdeb(:, :, 1), ev1, ev2)
     396            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Stress [2B]", ev1, ev2, " %"
     397              :                   END IF
     398              :                END IF
     399              :             END IF
     400              :          END IF
     401              :          ! no contribution from dispersion_3b as q=0 (but q is changed!)
     402              :          ! so we calculate this here
     403          910 :          IF (grad) THEN
     404           26 :             IF (dispersion_env%ext_charges) THEN
     405           60 :                dispersion_env%dcharges = dEdq
     406              :             ELSE
     407           14 :                CALL para_env%sum(dEdq)
     408              :                ! Reconstruct full-sized charges for eeq_forces
     409              :                BLOCK
     410           14 :                   REAL(KIND=dp), ALLOCATABLE :: q_full(:)
     411           28 :                   ALLOCATE (q_full(natom_full))
     412           14 :                   q_full = 0.0_dp
     413          118 :                   DO i = 1, natom
     414          118 :                      q_full(atom_map_back(i)) = q_red(i)
     415              :                   END DO
     416           14 :                   ga(:, :) = 0.0_dp
     417           14 :                   sigma = 0.0_dp
     418              :                   CALL eeq_forces(qs_env, q_full, dEdq, ga, sigma, dispersion_env%eeq_sparam, &
     419              :                                   2, enshift, response_only=.TRUE., exclude=exclude_ghost, &
     420           14 :                                   cn_max=8.0_dp)
     421           14 :                   DEALLOCATE (q_full)
     422              :                END BLOCK
     423          430 :                gradient(1:3, 1:natom_full) = gradient(1:3, 1:natom_full) + ga(1:3, 1:natom_full)
     424          182 :                stress = stress + sigma
     425           14 :                IF (debug) THEN
     426            0 :                   CALL para_env%sum(ga)
     427            0 :                   CALL para_env%sum(sigma)
     428            0 :                   IF (iw > 0) THEN
     429            0 :                      CALL verror(dEdq, Edq, ev1, ev2)
     430            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Derivative dEdq", ev1, ev2, " %"
     431            0 :                      CALL gerror(ga, gdeb(:, :, 2), ev1, ev2, ev3, ev4)
     432            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| RMS error Gradient [dEdq]", ev1, ev2, " %"
     433            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Gradient [dEdq]", ev3, ev4, " %"
     434            0 :                      IF (use_virial) THEN
     435            0 :                         CALL serror(sigma, sdeb(:, :, 2), ev1, ev2)
     436            0 :                         WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Stress [dEdq]", ev1, ev2, " %"
     437              :                      END IF
     438              :                   END IF
     439              :                END IF
     440              :             END IF
     441              :          END IF
     442              : 
     443          910 :          IF (dispersion_env%doabc) THEN
     444           96 :             ALLOCATE (energies3(natom_full))
     445           48 :             energies3(:) = 0.0_dp
     446           48 :             q_red(:) = 0.0_dp
     447              :             ! i.e. dc6dq = dEdq = 0
     448           48 :             CALL disp%weight_references(mol, cn_red, q_red, gwvec, gwdcn, gwdq)
     449              :             !
     450           48 :             IF (grad) THEN
     451           12 :                gwdq = 0.0_dp
     452           12 :                ga(:, :) = 0.0_dp
     453           12 :                sigma = 0.0_dp
     454              :             END IF
     455           48 :             CALL get_lattice_points(mol%periodic, mol%lattice, cutoff%disp3, tvec)
     456              :             CALL dispersion_3b(qs_env, dispersion_env, tvec, cutoff%disp3, disp%r4r2, &
     457              :                                gwvec, gwdcn, gwdq, disp%c6, disp%ref, &
     458              :                                energies3, dEdcn, dEdq, grad, ga, sigma, &
     459           48 :                                atom_map, species)
     460           48 :             IF (grad) THEN
     461          396 :                gradient(1:3, 1:natom_full) = gradient(1:3, 1:natom_full) + ga(1:3, 1:natom_full)
     462          156 :                stress = stress + sigma
     463           12 :                IF (debug) THEN
     464            0 :                   CALL para_env%sum(ga)
     465            0 :                   CALL para_env%sum(sigma)
     466            0 :                   IF (iw > 0) THEN
     467            0 :                      CALL gerror(ga, gdeb(:, :, 3), ev1, ev2, ev3, ev4)
     468            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| RMS error Gradient [3B]", ev1, ev2, " %"
     469            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Gradient [3B]", ev3, ev4, " %"
     470            0 :                      IF (use_virial) THEN
     471            0 :                         CALL serror(sigma, sdeb(:, :, 3), ev1, ev2)
     472            0 :                         WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Stress [3B]", ev1, ev2, " %"
     473              :                      END IF
     474              :                   END IF
     475              :                END IF
     476              :             END IF
     477              :          END IF
     478              : 
     479          910 :          IF (grad) THEN
     480           26 :             CALL para_env%sum(dEdcn)
     481           26 :             ga(:, :) = 0.0_dp
     482           26 :             sigma = 0.0_dp
     483           26 :             CALL dEdcn_force(qs_env, dEdcn, dcnum, ga, sigma)
     484          634 :             gradient(1:3, 1:natom_full) = gradient(1:3, 1:natom_full) + ga(1:3, 1:natom_full)
     485          338 :             stress = stress + sigma
     486           26 :             IF (debug) THEN
     487            0 :                CALL para_env%sum(ga)
     488            0 :                CALL para_env%sum(sigma)
     489            0 :                IF (iw > 0) THEN
     490            0 :                   CALL verror(dEdcn, Edcn, ev1, ev2)
     491            0 :                   WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Derivative dEdcn", ev1, ev2, " %"
     492            0 :                   CALL gerror(ga, gdeb(:, :, 4), ev1, ev2, ev3, ev4)
     493            0 :                   WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| RMS error Gradient [dEdcn]", ev1, ev2, " %"
     494            0 :                   WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Gradient [dEdcn]", ev3, ev4, " %"
     495            0 :                   IF (use_virial) THEN
     496            0 :                      CALL serror(sigma, sdeb(:, :, 4), ev1, ev2)
     497            0 :                      WRITE (iw, '(A,T51,F14.10,T69,F10.4,A)') " DEBUG D4| MAV error Stress [dEdcn]", ev1, ev2, " %"
     498              :                   END IF
     499              :                END IF
     500              :             END IF
     501              :          END IF
     502          910 :          DEALLOCATE (q_red, cn_red)
     503          910 :          CALL cnumber_release(cn, dcnum, grad)
     504          910 :          te = m_walltime()
     505          910 :          tc = tc + te - ts
     506              : 
     507          910 :          IF (debug) THEN
     508            0 :             ta = SUM(energies)
     509            0 :             CALL para_env%sum(ta)
     510            0 :             IF (iw > 0) THEN
     511            0 :                tb = SUM(enerd2)
     512            0 :                ed2 = ta - tb
     513            0 :                pd2 = ABS(ed2)/ABS(tb)*100.
     514            0 :                WRITE (iw, '(A,T51,F14.8,T69,F10.4,A)') " DEBUG D4| Energy error 2-body", ed2, pd2, " %"
     515              :             END IF
     516            0 :             IF (dispersion_env%doabc) THEN
     517            0 :                ta = SUM(energies3)
     518            0 :                CALL para_env%sum(ta)
     519            0 :                IF (iw > 0) THEN
     520            0 :                   tb = SUM(enerd3)
     521            0 :                   ed3 = ta - tb
     522            0 :                   pd3 = ABS(ed3)/ABS(tb)*100.
     523            0 :                   WRITE (iw, '(A,T51,F14.8,T69,F10.4,A)') " DEBUG D4| Energy error 3-body", ed3, pd3, " %"
     524              :                END IF
     525              :             END IF
     526            0 :             IF (iw > 0) THEN
     527            0 :                WRITE (iw, '(A,T67,F14.4)') " DEBUG D4| Time for reference code [s]", td
     528            0 :                WRITE (iw, '(A,T67,F14.4)') " DEBUG D4| Time for production code [s]", tc
     529              :             END IF
     530              :          END IF
     531              : 
     532          910 :          IF (dispersion_env%doabc) THEN
     533          452 :             energies(:) = energies(:) + energies3(:)
     534              :          END IF
     535         4792 :          evdw = SUM(energies)
     536          910 :          IF (PRESENT(atomic_energy)) THEN
     537            0 :             atomic_energy(1:natom_full) = energies(1:natom_full)
     538              :          END IF
     539              : 
     540          910 :          IF (use_virial .AND. calculate_forces) THEN
     541          130 :             virial%pv_virial = virial%pv_virial - stress
     542              :          END IF
     543          910 :          IF (calculate_forces) THEN
     544          178 :             DO iatom = 1, natom_full
     545          152 :                IF (atom_map(iatom) == 0) CYCLE
     546          152 :                ikind = kind_of(iatom)
     547          152 :                atoma = atom_of_kind(iatom)
     548              :                force(ikind)%dispersion(:, atoma) = &
     549          634 :                   force(ikind)%dispersion(:, atoma) + gradient(:, iatom)
     550              :             END DO
     551              :          END IF
     552              : 
     553          910 :          DEALLOCATE (energies)
     554          910 :          IF (dispersion_env%doabc) DEALLOCATE (energies3)
     555          910 :          IF (grad) THEN
     556           26 :             DEALLOCATE (gradient, ga)
     557              :          END IF
     558              : 
     559              :       END IF
     560              : 
     561          916 :       DEALLOCATE (xyz, atomtype, atom_map, atom_map_back, species, exclude_ghost)
     562              : 
     563          916 :       CALL timestop(handle)
     564              : 
     565         1832 :    END SUBROUTINE calculate_dispersion_d4_pairpot
     566              : 
     567              : ! **************************************************************************************************
     568              : !> \brief ...
     569              : !> \param param ...
     570              : !> \param disp ...
     571              : !> \param mol ...
     572              : !> \param cutoff ...
     573              : !> \param grad ...
     574              : !> \param doabc ...
     575              : !> \param enerd2 ...
     576              : !> \param enerd3 ...
     577              : !> \param cnd ...
     578              : !> \param qd ...
     579              : !> \param dEdcn ...
     580              : !> \param dEdq ...
     581              : !> \param gradient ...
     582              : !> \param stress ...
     583              : ! **************************************************************************************************
     584            0 :    SUBROUTINE refd4_debug(param, disp, mol, cutoff, grad, doabc, &
     585              :                           enerd2, enerd3, cnd, qd, dEdcn, dEdq, gradient, stress)
     586              :       CLASS(damping_param)                               :: param
     587              :       TYPE(d4_model)                                     :: disp
     588              :       TYPE(structure_type)                               :: mol
     589              :       TYPE(realspace_cutoff)                             :: cutoff
     590            0 :       TYPE(error_type), ALLOCATABLE                      :: error
     591              :       LOGICAL, INTENT(IN)                                :: grad, doabc
     592              :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: enerd2, enerd3, cnd, qd, dEdcn, dEdq
     593              :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: gradient
     594              :       REAL(KIND=dp), DIMENSION(3, 3, 4)                  :: stress
     595              : 
     596              :       INTEGER                                            :: mref, natom, i, ncoup
     597            0 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: q, qq
     598            0 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: lattr, c6, dc6dcn, dc6dq
     599            0 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: cndr, cndL, qdr, qdL, gwdcn, gwdq, gwvec
     600              : 
     601            0 :       mref = MAXVAL(disp%ref)
     602            0 :       natom = mol%nat
     603            0 :       ncoup = disp%ncoup
     604              : 
     605              :       ! Coordination numbers
     606            0 :       ALLOCATE (cnd(natom))
     607            0 :       IF (grad) ALLOCATE (cndr(3, natom, natom), cndL(3, 3, natom))
     608            0 :       CALL get_lattice_points(mol%periodic, mol%lattice, cutoff%cn, lattr)
     609              :       CALL get_coordination_number(mol, lattr, cutoff%cn, disp%rcov, disp%en, &
     610            0 :                                    cnd, cndr, cndL)
     611              :       ! EEQ charges
     612            0 :       ALLOCATE (qd(natom))
     613            0 :       IF (grad) ALLOCATE (qdr(3, natom, natom), qdL(3, 3, natom))
     614            0 :       CALL get_charges(disp%mchrg, mol, error, qd, qdr, qdL)
     615            0 :       IF (ALLOCATED(error)) THEN
     616            0 :          CPABORT(error%message)
     617              :       END IF
     618              :       ! C6 interpolation
     619            0 :       ALLOCATE (gwvec(mref, natom, ncoup))
     620            0 :       IF (grad) ALLOCATE (gwdcn(mref, natom, ncoup), gwdq(mref, natom, ncoup))
     621            0 :       CALL disp%weight_references(mol, cnd, qd, gwvec, gwdcn, gwdq)
     622            0 :       ALLOCATE (c6(natom, natom))
     623            0 :       IF (grad) ALLOCATE (dc6dcn(natom, natom), dc6dq(natom, natom))
     624            0 :       CALL disp%get_atomic_c6(mol, gwvec, gwdcn, gwdq, c6, dc6dcn, dc6dq)
     625            0 :       CALL get_lattice_points(mol%periodic, mol%lattice, cutoff%disp2, lattr)
     626              :       !
     627            0 :       IF (grad) THEN
     628            0 :          ALLOCATE (gradient(3, natom, 4))
     629            0 :          gradient = 0.0_dp
     630            0 :          stress = 0.0_dp
     631              :       END IF
     632              :       !
     633            0 :       ALLOCATE (enerd2(natom))
     634            0 :       enerd2(:) = 0.0_dp
     635            0 :       IF (grad) THEN
     636            0 :          ALLOCATE (dEdcn(natom), dEdq(natom))
     637            0 :          dEdcn(:) = 0.0_dp; dEdq(:) = 0.0_dp
     638              :       END IF
     639              :       CALL param%get_dispersion2(mol, lattr, cutoff%disp2, cutoff%width2, disp%r4r2, c6, &
     640              :                                  dc6dcn, dc6dq, enerd2, dEdcn, dEdq, gradient(:, :, 1), &
     641            0 :                                  stress(:, :, 1))
     642              :       !
     643            0 :       IF (grad) THEN
     644            0 :          DO i = 1, 3
     645            0 :             gradient(i, :, 2) = MATMUL(qdr(i, :, :), dEdq(:))
     646            0 :             stress(i, :, 2) = MATMUL(qdL(i, :, :), dEdq(:))
     647              :          END DO
     648              :       END IF
     649              :       !
     650            0 :       IF (doabc) THEN
     651            0 :          ALLOCATE (q(natom), qq(natom))
     652            0 :          q(:) = 0.0_dp; qq(:) = 0.0_dp
     653            0 :          ALLOCATE (enerd3(natom))
     654            0 :          enerd3(:) = 0.0_dp
     655            0 :          CALL disp%weight_references(mol, cnd, q, gwvec, gwdcn, gwdq)
     656            0 :          CALL disp%get_atomic_c6(mol, gwvec, gwdcn, gwdq, c6, dc6dcn, dc6dq)
     657            0 :          CALL get_lattice_points(mol%periodic, mol%lattice, cutoff%disp3, lattr)
     658              :          CALL param%get_dispersion3(mol, lattr, cutoff%disp3, cutoff%width3, disp%r4r2, c6, &
     659              :                                     dc6dcn, dc6dq, enerd3, dEdcn, qq, gradient(:, :, 3), &
     660            0 :                                     stress(:, :, 3))
     661              :       END IF
     662            0 :       IF (grad) THEN
     663            0 :          DO i = 1, 3
     664            0 :             gradient(i, :, 4) = MATMUL(cndr(i, :, :), dEdcn(:))
     665            0 :             stress(i, :, 4) = MATMUL(cndL(i, :, :), dEdcn(:))
     666              :          END DO
     667              :       END IF
     668              : 
     669            0 :    END SUBROUTINE refd4_debug
     670              : 
     671              : #else
     672              : 
     673              : ! **************************************************************************************************
     674              : !> \brief ...
     675              : !> \param qs_env ...
     676              : !> \param dispersion_env ...
     677              : !> \param evdw ...
     678              : !> \param calculate_forces ...
     679              : !> \param iw ...
     680              : !> \param atomic_energy ...
     681              : ! **************************************************************************************************
     682              :    SUBROUTINE calculate_dispersion_d4_pairpot(qs_env, dispersion_env, evdw, calculate_forces, &
     683              :                                               iw, atomic_energy)
     684              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     685              :       TYPE(qs_dispersion_type), INTENT(IN), POINTER      :: dispersion_env
     686              :       REAL(KIND=dp), INTENT(INOUT)                       :: evdw
     687              :       LOGICAL, INTENT(IN)                                :: calculate_forces
     688              :       INTEGER, INTENT(IN)                                :: iw
     689              :       REAL(KIND=dp), DIMENSION(:), OPTIONAL              :: atomic_energy
     690              : 
     691              :       MARK_USED(qs_env)
     692              :       MARK_USED(dispersion_env)
     693              :       MARK_USED(evdw)
     694              :       MARK_USED(calculate_forces)
     695              :       MARK_USED(iw)
     696              :       MARK_USED(atomic_energy)
     697              : 
     698              :       CPABORT("CP2K build without DFTD4")
     699              : 
     700              :    END SUBROUTINE calculate_dispersion_d4_pairpot
     701              : 
     702              : #endif
     703              : 
     704              : ! **************************************************************************************************
     705              : !> \brief ...
     706              : !> \param dispersion_env ...
     707              : !> \param cutoff ...
     708              : !> \param r4r2 ...
     709              : !> \param gwvec ...
     710              : !> \param gwdcn ...
     711              : !> \param gwdq ...
     712              : !> \param c6ref ...
     713              : !> \param mrefs ...
     714              : !> \param energies ...
     715              : !> \param dEdcn ...
     716              : !> \param dEdq ...
     717              : !> \param calculate_forces ...
     718              : !> \param gradient ...
     719              : !> \param stress ...
     720              : !> \param atom_map ...
     721              : !> \param species ...
     722              : ! **************************************************************************************************
     723         2730 :    SUBROUTINE dispersion_2b(dispersion_env, cutoff, r4r2, &
     724         2678 :                             gwvec, gwdcn, gwdq, c6ref, mrefs, &
     725         1820 :                             energies, dEdcn, dEdq, &
     726         1794 :                             calculate_forces, gradient, stress, &
     727          910 :                             atom_map, species)
     728              :       TYPE(qs_dispersion_type), POINTER                  :: dispersion_env
     729              :       REAL(KIND=dp), INTENT(IN)                          :: cutoff
     730              :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: r4r2
     731              :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(IN)      :: gwvec, gwdcn, gwdq
     732              :       REAL(KIND=dp), DIMENSION(:, :, :, :), INTENT(IN)   :: c6ref
     733              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: mrefs
     734              :       REAL(KIND=dp), DIMENSION(:), INTENT(INOUT)         :: energies, dEdcn, dEdq
     735              :       LOGICAL, INTENT(IN)                                :: calculate_forces
     736              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: gradient, stress
     737              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: atom_map, species
     738              : 
     739              :       INTEGER                                            :: ia, iatom, ik, ikind, ja, jatom, jk, &
     740              :                                                             jkind, mepos, num_pe
     741              :       REAL(KINd=dp)                                      :: a1, a2, c6ij, cutoff2, d6, d8, dE, dr2, &
     742              :                                                             edisp, fac, gdisp, r0ij, rrij, s6, s8, &
     743              :                                                             t6, t8
     744              :       REAL(KINd=dp), DIMENSION(2)                        :: dcdcn, dcdq
     745              :       REAL(KINd=dp), DIMENSION(3)                        :: dG, rij
     746              :       REAL(KINd=dp), DIMENSION(3, 3)                     :: dS
     747              :       TYPE(neighbor_list_iterator_p_type), &
     748          910 :          DIMENSION(:), POINTER                           :: nl_iterator
     749              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     750              :          POINTER                                         :: sab_vdw
     751              : 
     752          910 :       a1 = dispersion_env%a1
     753          910 :       a2 = dispersion_env%a2
     754          910 :       s6 = dispersion_env%s6
     755          910 :       s8 = dispersion_env%s8
     756          910 :       cutoff2 = cutoff*cutoff
     757              : 
     758          910 :       sab_vdw => dispersion_env%sab_vdw
     759              : 
     760          910 :       num_pe = 1
     761          910 :       CALL neighbor_list_iterator_create(nl_iterator, sab_vdw, nthread=num_pe)
     762              : 
     763          910 :       mepos = 0
     764       197755 :       DO WHILE (neighbor_list_iterate(nl_iterator, mepos=mepos) == 0)
     765              :          CALL get_iterator_info(nl_iterator, mepos=mepos, ikind=ikind, jkind=jkind, &
     766       196845 :                                 iatom=iatom, jatom=jatom, r=rij)
     767              :          ! Skip ghost/floating atoms
     768       196845 :          ia = atom_map(iatom)
     769       196845 :          ja = atom_map(jatom)
     770       196845 :          IF (ia == 0 .OR. ja == 0) CYCLE
     771              :          ! D4 species indices
     772       196815 :          ik = species(iatom)
     773       196815 :          jk = species(jatom)
     774              :          ! vdW potential
     775       787260 :          dr2 = SUM(rij(:)**2)
     776       197725 :          IF (dr2 <= cutoff2 .AND. dr2 > 0.0000001_dp) THEN
     777       194880 :             rrij = 3._dp*r4r2(ik)*r4r2(jk)
     778       194880 :             r0ij = a1*SQRT(rrij) + a2
     779       194880 :             IF (calculate_forces) THEN
     780              :                CALL get_c6derivs(c6ij, dcdcn, dcdq, ia, ja, ik, jk, &
     781        94209 :                                  gwvec, gwdcn, gwdq, c6ref, mrefs)
     782              :             ELSE
     783       100671 :                CALL get_c6value(c6ij, ia, ja, ik, jk, gwvec, c6ref, mrefs)
     784              :             END IF
     785       194880 :             fac = 1._dp
     786       194880 :             IF (iatom == jatom) fac = 0.5_dp
     787       194880 :             t6 = 1.0_dp/(dr2**3 + r0ij**6)
     788       194880 :             t8 = 1.0_dp/(dr2**4 + r0ij**8)
     789              : 
     790       194880 :             edisp = (s6*t6 + s8*rrij*t8)*fac
     791       194880 :             dE = -c6ij*edisp
     792       194880 :             energies(iatom) = energies(iatom) + dE*0.5_dp
     793       194880 :             energies(jatom) = energies(jatom) + dE*0.5_dp
     794              : 
     795       194880 :             IF (calculate_forces) THEN
     796        94209 :                d6 = -6.0_dp*dr2**2*t6**2
     797        94209 :                d8 = -8.0_dp*dr2**3*t8**2
     798        94209 :                gdisp = (s6*d6 + s8*rrij*d8)*fac
     799       376836 :                dG(:) = -c6ij*gdisp*rij(:)
     800       376836 :                gradient(:, iatom) = gradient(:, iatom) - dG
     801       376836 :                gradient(:, jatom) = gradient(:, jatom) + dG
     802      1224717 :                dS(:, :) = SPREAD(dG, 1, 3)*SPREAD(rij, 2, 3)
     803      1224717 :                stress(:, :) = stress(:, :) + dS(:, :)
     804        94209 :                dEdcn(iatom) = dEdcn(iatom) - dcdcn(1)*edisp
     805        94209 :                dEdq(iatom) = dEdq(iatom) - dcdq(1)*edisp
     806        94209 :                dEdcn(jatom) = dEdcn(jatom) - dcdcn(2)*edisp
     807        94209 :                dEdq(jatom) = dEdq(jatom) - dcdq(2)*edisp
     808              :             END IF
     809              :          END IF
     810              :       END DO
     811              : 
     812          910 :       CALL neighbor_list_iterator_release(nl_iterator)
     813              : 
     814          910 :    END SUBROUTINE dispersion_2b
     815              : 
     816              : ! **************************************************************************************************
     817              : !> \brief ...
     818              : !> \param qs_env ...
     819              : !> \param dispersion_env ...
     820              : !> \param tvec ...
     821              : !> \param cutoff ...
     822              : !> \param r4r2 ...
     823              : !> \param gwvec ...
     824              : !> \param gwdcn ...
     825              : !> \param gwdq ...
     826              : !> \param c6ref ...
     827              : !> \param mrefs ...
     828              : !> \param energies ...
     829              : !> \param dEdcn ...
     830              : !> \param dEdq ...
     831              : !> \param calculate_forces ...
     832              : !> \param gradient ...
     833              : !> \param stress ...
     834              : !> \param atom_map ...
     835              : !> \param species ...
     836              : ! **************************************************************************************************
     837           48 :    SUBROUTINE dispersion_3b(qs_env, dispersion_env, tvec, cutoff, r4r2, &
     838          120 :                             gwvec, gwdcn, gwdq, c6ref, mrefs, &
     839           96 :                             energies, dEdcn, dEdq, &
     840           84 :                             calculate_forces, gradient, stress, &
     841           48 :                             atom_map, species)
     842              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     843              :       TYPE(qs_dispersion_type), POINTER                  :: dispersion_env
     844              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN)         :: tvec
     845              :       REAL(KIND=dp), INTENT(IN)                          :: cutoff
     846              :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: r4r2
     847              :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(IN)      :: gwvec, gwdcn, gwdq
     848              :       REAL(KIND=dp), DIMENSION(:, :, :, :), INTENT(IN)   :: c6ref
     849              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: mrefs
     850              :       REAL(KIND=dp), DIMENSION(:), INTENT(INOUT)         :: energies, dEdcn, dEdq
     851              :       LOGICAL, INTENT(IN)                                :: calculate_forces
     852              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: gradient, stress
     853              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: atom_map, species
     854              : 
     855              :       INTEGER                                            :: ia, iatom, ik, ikind, ja, jatom, jk, &
     856              :                                                             jkind, ka, katom, kk, ktr, mepos, &
     857              :                                                             natom, num_pe
     858           48 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: kind_of
     859              :       INTEGER, DIMENSION(3)                              :: cell_b
     860              :       REAL(KINd=dp)                                      :: a1, a2, alp, ang, c6ij, c6ik, c6jk, c9, &
     861              :                                                             cutoff2, dang, dE, dfdmp, fac, fdmp, &
     862              :                                                             r0, r0ij, r0ik, r0jk, r1, r2, r2ij, &
     863              :                                                             r2ik, r2jk, r3, r5, rr, s6, s8, s9
     864           48 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: rcpbc
     865              :       REAL(KINd=dp), DIMENSION(2)                        :: dc6dcnij, dc6dcnik, dc6dcnjk, dc6dqij, &
     866              :                                                             dc6dqik, dc6dqjk
     867              :       REAL(KINd=dp), DIMENSION(3)                        :: dGij, dGik, dGjk, ra, rb, rb0, rij, vij, &
     868              :                                                             vik, vjk
     869              :       REAL(KINd=dp), DIMENSION(3, 3)                     :: dS
     870           48 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     871              :       TYPE(cell_type), POINTER                           :: cell
     872              :       TYPE(neighbor_list_iterator_p_type), &
     873           48 :          DIMENSION(:), POINTER                           :: nl_iterator
     874              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     875           48 :          POINTER                                         :: sab_vdw
     876           48 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     877              : 
     878              :       CALL get_qs_env(qs_env=qs_env, natom=natom, cell=cell, &
     879           48 :                       atomic_kind_set=atomic_kind_set, particle_set=particle_set)
     880              : 
     881          144 :       ALLOCATE (rcpbc(3, natom))
     882          452 :       DO iatom = 1, natom
     883          452 :          rcpbc(:, iatom) = pbc(particle_set(iatom)%r(:), cell)
     884              :       END DO
     885           48 :       CALL get_atomic_kind_set(atomic_kind_set, kind_of=kind_of)
     886              : 
     887           48 :       a1 = dispersion_env%a1
     888           48 :       a2 = dispersion_env%a2
     889           48 :       s6 = dispersion_env%s6
     890           48 :       s8 = dispersion_env%s8
     891           48 :       s9 = dispersion_env%s9
     892           48 :       alp = dispersion_env%alp
     893              : 
     894           48 :       cutoff2 = cutoff**2
     895              : 
     896           48 :       sab_vdw => dispersion_env%sab_vdw
     897              : 
     898           48 :       num_pe = 1
     899           48 :       CALL neighbor_list_iterator_create(nl_iterator, sab_vdw, nthread=num_pe)
     900              : 
     901           48 :       mepos = 0
     902       132019 :       DO WHILE (neighbor_list_iterate(nl_iterator, mepos=mepos) == 0)
     903       131971 :          CALL get_iterator_info(nl_iterator, mepos=mepos, ikind=ikind, jkind=jkind, iatom=iatom, jatom=jatom, r=rij)
     904              : 
     905              :          ! Skip ghost/floating atoms
     906       131971 :          ia = atom_map(iatom)
     907       131971 :          ja = atom_map(jatom)
     908       131971 :          IF (ia == 0 .OR. ja == 0) CYCLE
     909       131941 :          ik = species(iatom)
     910       131941 :          jk = species(jatom)
     911              : 
     912       527764 :          r2ij = SUM(rij(:)**2)
     913       131941 :          IF (calculate_forces) THEN
     914              :             CALL get_c6derivs(c6ij, dc6dcnij, dc6dqij, ia, ja, ik, jk, &
     915        90535 :                               gwvec, gwdcn, gwdq, c6ref, mrefs)
     916              :          ELSE
     917        41406 :             CALL get_c6value(c6ij, ia, ja, ik, jk, gwvec, c6ref, mrefs)
     918              :          END IF
     919       131941 :          r0ij = a1*SQRT(3._dp*r4r2(jk)*r4r2(ik)) + a2
     920       131989 :          IF (r2ij <= cutoff2 .AND. r2ij > EPSILON(1._dp)) THEN
     921        27645 :             CALL get_iterator_info(nl_iterator, cell=cell_b)
     922       442320 :             rb0(:) = MATMUL(cell%hmat, cell_b)
     923       110580 :             ra(:) = rcpbc(:, iatom)
     924       110580 :             rb(:) = rcpbc(:, jatom) + rb0
     925       110580 :             vij(:) = rb(:) - ra(:)
     926              : 
     927       134740 :             DO katom = 1, MIN(iatom, jatom)
     928       107095 :                ka = atom_map(katom)
     929       107095 :                IF (ka == 0) CYCLE
     930       107086 :                kk = species(katom)
     931       107086 :                IF (calculate_forces) THEN
     932              :                   CALL get_c6derivs(c6ik, dc6dcnik, dc6dqik, ka, ia, kk, ik, &
     933        91756 :                                     gwvec, gwdcn, gwdq, c6ref, mrefs)
     934              :                   CALL get_c6derivs(c6jk, dc6dcnjk, dc6dqjk, ka, ja, kk, jk, &
     935        91756 :                                     gwvec, gwdcn, gwdq, c6ref, mrefs)
     936              :                ELSE
     937        15330 :                   CALL get_c6value(c6ik, ka, ia, kk, ik, gwvec, c6ref, mrefs)
     938        15330 :                   CALL get_c6value(c6jk, ka, ja, kk, jk, gwvec, c6ref, mrefs)
     939              :                END IF
     940       107086 :                c9 = -s9*SQRT(ABS(c6ij*c6ik*c6jk))
     941       107086 :                r0ik = a1*SQRT(3._dp*r4r2(kk)*r4r2(ik)) + a2
     942       107086 :                r0jk = a1*SQRT(3._dp*r4r2(kk)*r4r2(jk)) + a2
     943       107086 :                r0 = r0ij*r0ik*r0jk
     944       107086 :                fac = triple_scale(iatom, jatom, katom)
     945    112219646 :                DO ktr = 1, SIZE(tvec, 2)
     946    448339624 :                   vik(:) = rcpbc(:, katom) + tvec(:, ktr) - rcpbc(:, iatom)
     947    112084906 :                   r2ik = vik(1)*vik(1) + vik(2)*vik(2) + vik(3)*vik(3)
     948    112084906 :                   IF (r2ik > cutoff2 .OR. r2ik < EPSILON(1.0_dp)) CYCLE
     949    124261708 :                   vjk(:) = rcpbc(:, katom) + tvec(:, ktr) - rb(:)
     950     31065427 :                   r2jk = vjk(1)*vjk(1) + vjk(2)*vjk(2) + vjk(3)*vjk(3)
     951     31065427 :                   IF (r2jk > cutoff2 .OR. r2jk < EPSILON(1.0_dp)) CYCLE
     952     14513826 :                   r2 = r2ij*r2ik*r2jk
     953     14513826 :                   r1 = SQRT(r2)
     954     14513826 :                   r3 = r2*r1
     955     14513826 :                   r5 = r3*r2
     956              : 
     957     14513826 :                   fdmp = 1.0_dp/(1.0_dp + 6.0_dp*(r0/r1)**(alp/3.0_dp))
     958              :                   ang = 0.375_dp*(r2ij + r2jk - r2ik)*(r2ij - r2jk + r2ik)* &
     959     14513826 :                         (-r2ij + r2jk + r2ik)/r5 + 1.0_dp/r3
     960              : 
     961     14513826 :                   rr = ang*fdmp
     962     14513826 :                   dE = rr*c9*fac
     963     14513826 :                   energies(iatom) = energies(iatom) - dE/3._dp
     964     14513826 :                   energies(jatom) = energies(jatom) - dE/3._dp
     965     14513826 :                   energies(katom) = energies(katom) - dE/3._dp
     966              : 
     967     14620912 :                   IF (calculate_forces) THEN
     968              : 
     969     14319578 :                      dfdmp = -2.0_dp*alp*(r0/r1)**(alp/3.0_dp)*fdmp**2
     970              : 
     971              :                      ! d/drij
     972              :                      dang = -0.375_dp*(r2ij**3 + r2ij**2*(r2jk + r2ik) &
     973              :                                        + r2ij*(3.0_dp*r2jk**2 + 2.0_dp*r2jk*r2ik &
     974              :                                                + 3.0_dp*r2ik**2) &
     975     14319578 :                                        - 5.0_dp*(r2jk - r2ik)**2*(r2jk + r2ik))/r5
     976     57278312 :                      dGij(:) = c9*(-dang*fdmp + ang*dfdmp)/r2ij*vij
     977              : 
     978              :                      ! d/drik
     979              :                      dang = -0.375_dp*(r2ik**3 + r2ik**2*(r2jk + r2ij) &
     980              :                                        + r2ik*(3.0_dp*r2jk**2 + 2.0_dp*r2jk*r2ij &
     981              :                                                + 3.0_dp*r2ij**2) &
     982     14319578 :                                        - 5.0_dp*(r2jk - r2ij)**2*(r2jk + r2ij))/r5
     983     57278312 :                      dGik(:) = c9*(-dang*fdmp + ang*dfdmp)/r2ik*vik
     984              : 
     985              :                      ! d/drjk
     986              :                      dang = -0.375_dp*(r2jk**3 + r2jk**2*(r2ik + r2ij) &
     987              :                                        + r2jk*(3.0_dp*r2ik**2 + 2.0_dp*r2ik*r2ij &
     988              :                                                + 3.0_dp*r2ij**2) &
     989     14319578 :                                        - 5.0_dp*(r2ik - r2ij)**2*(r2ik + r2ij))/r5
     990     57278312 :                      dGjk(:) = c9*(-dang*fdmp + ang*dfdmp)/r2jk*vjk
     991              : 
     992     57278312 :                      gradient(:, iatom) = gradient(:, iatom) - dGij - dGik
     993     57278312 :                      gradient(:, jatom) = gradient(:, jatom) + dGij - dGjk
     994     57278312 :                      gradient(:, katom) = gradient(:, katom) + dGik + dGjk
     995              : 
     996              :                      dS(:, :) = SPREAD(dGij, 1, 3)*SPREAD(vij, 2, 3) &
     997              :                                 + SPREAD(dGik, 1, 3)*SPREAD(vik, 2, 3) &
     998    186154514 :                                 + SPREAD(dGjk, 1, 3)*SPREAD(vjk, 2, 3)
     999              : 
    1000    186154514 :                      stress(:, :) = stress + dS*fac
    1001              : 
    1002              :                      dEdcn(iatom) = dEdcn(iatom) - dE*0.5_dp &
    1003     14319578 :                                     *(dc6dcnij(1)/c6ij + dc6dcnik(2)/c6ik)
    1004              :                      dEdcn(jatom) = dEdcn(jatom) - dE*0.5_dp &
    1005     14319578 :                                     *(dc6dcnij(2)/c6ij + dc6dcnjk(2)/c6jk)
    1006              :                      dEdcn(katom) = dEdcn(katom) - dE*0.5_dp &
    1007     14319578 :                                     *(dc6dcnik(1)/c6ik + dc6dcnjk(1)/c6jk)
    1008              : 
    1009              :                      dEdq(iatom) = dEdq(iatom) - dE*0.5_dp &
    1010     14319578 :                                    *(dc6dqij(1)/c6ij + dc6dqik(2)/c6ik)
    1011              :                      dEdq(jatom) = dEdq(jatom) - dE*0.5_dp &
    1012     14319578 :                                    *(dc6dqij(2)/c6ij + dc6dqjk(2)/c6jk)
    1013              :                      dEdq(katom) = dEdq(katom) - dE*0.5_dp &
    1014     14319578 :                                    *(dc6dqik(1)/c6ik + dc6dqjk(1)/c6jk)
    1015              : 
    1016              :                   END IF
    1017              : 
    1018              :                END DO
    1019              :             END DO
    1020              :          END IF
    1021              :       END DO
    1022              : 
    1023           48 :       CALL neighbor_list_iterator_release(nl_iterator)
    1024              : 
    1025           48 :       DEALLOCATE (rcpbc)
    1026              : 
    1027           96 :    END SUBROUTINE dispersion_3b
    1028              : 
    1029              : ! **************************************************************************************************
    1030              : !> \brief ...
    1031              : !> \param ii ...
    1032              : !> \param jj ...
    1033              : !> \param kk ...
    1034              : !> \return ...
    1035              : ! **************************************************************************************************
    1036       107086 :    FUNCTION triple_scale(ii, jj, kk) RESULT(triple)
    1037              :       INTEGER, INTENT(IN)                                :: ii, jj, kk
    1038              :       REAL(KIND=dp)                                      :: triple
    1039              : 
    1040       107086 :       IF (ii == jj) THEN
    1041        26681 :          IF (ii == kk) THEN
    1042              :             ! ii'i" -> 1/6
    1043              :             triple = 1.0_dp/6.0_dp
    1044              :          ELSE
    1045              :             ! ii'j -> 1/2
    1046        21477 :             triple = 0.5_dp
    1047              :          END IF
    1048              :       ELSE
    1049        80405 :          IF (ii /= kk .AND. jj /= kk) THEN
    1050              :             ! ijk -> 1 (full)
    1051              :             triple = 1.0_dp
    1052              :          ELSE
    1053              :             ! ijj' and iji' -> 1/2
    1054        22441 :             triple = 0.5_dp
    1055              :          END IF
    1056              :       END IF
    1057              : 
    1058       107086 :    END FUNCTION triple_scale
    1059              : 
    1060              : ! **************************************************************************************************
    1061              : !> \brief ...
    1062              : !> \param qs_env ...
    1063              : !> \param dEdcn ...
    1064              : !> \param dcnum ...
    1065              : !> \param gradient ...
    1066              : !> \param stress ...
    1067              : ! **************************************************************************************************
    1068           26 :    SUBROUTINE dEdcn_force(qs_env, dEdcn, dcnum, gradient, stress)
    1069              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1070              :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: dEdcn
    1071              :       TYPE(dcnum_type), DIMENSION(:), INTENT(IN)         :: dcnum
    1072              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: gradient
    1073              :       REAL(KIND=dp), DIMENSION(3, 3), INTENT(INOUT)      :: stress
    1074              : 
    1075              :       CHARACTER(len=*), PARAMETER                        :: routineN = 'dEdcn_force'
    1076              : 
    1077              :       INTEGER                                            :: handle, i, ia, iatom, ikind, katom, &
    1078              :                                                             natom, nkind
    1079              :       LOGICAL                                            :: use_virial
    1080              :       REAL(KIND=dp)                                      :: drk
    1081              :       REAL(KIND=dp), DIMENSION(3)                        :: fdik, rik
    1082              :       TYPE(distribution_1d_type), POINTER                :: local_particles
    1083              :       TYPE(virial_type), POINTER                         :: virial
    1084              : 
    1085           26 :       CALL timeset(routineN, handle)
    1086              : 
    1087              :       CALL get_qs_env(qs_env, nkind=nkind, natom=natom, &
    1088              :                       local_particles=local_particles, &
    1089           26 :                       virial=virial)
    1090           26 :       use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
    1091              : 
    1092           92 :       DO ikind = 1, nkind
    1093          168 :          DO ia = 1, local_particles%n_el(ikind)
    1094           76 :             iatom = local_particles%list(ikind)%array(ia)
    1095          254 :             DO i = 1, dcnum(iatom)%neighbors
    1096          112 :                katom = dcnum(iatom)%nlist(i)
    1097          448 :                rik = dcnum(iatom)%rik(:, i)
    1098          448 :                drk = SQRT(SUM(rik(:)**2))
    1099          448 :                fdik(:) = -(dEdcn(iatom) + dEdcn(katom))*dcnum(iatom)%dvals(i)*rik(:)/drk
    1100          448 :                gradient(:, iatom) = gradient(:, iatom) + fdik(:)
    1101          188 :                IF (use_virial) THEN
    1102           34 :                   CALL virial_pair_force(stress, -0.5_dp, fdik, rik)
    1103              :                END IF
    1104              :             END DO
    1105              :          END DO
    1106              :       END DO
    1107              : 
    1108           26 :       CALL timestop(handle)
    1109              : 
    1110           26 :    END SUBROUTINE dEdcn_force
    1111              : 
    1112              : ! **************************************************************************************************
    1113              : !> \brief ...
    1114              : !> \param c6ij ...
    1115              : !> \param ia ...
    1116              : !> \param ja ...
    1117              : !> \param ik ...
    1118              : !> \param jk ...
    1119              : !> \param gwvec ...
    1120              : !> \param c6ref ...
    1121              : !> \param mrefs ...
    1122              : ! **************************************************************************************************
    1123       172737 :    SUBROUTINE get_c6value(c6ij, ia, ja, ik, jk, gwvec, c6ref, mrefs)
    1124              :       REAL(KIND=dp), INTENT(OUT)                         :: c6ij
    1125              :       INTEGER, INTENT(IN)                                :: ia, ja, ik, jk
    1126              :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(IN)      :: gwvec
    1127              :       REAL(KIND=dp), DIMENSION(:, :, :, :), INTENT(IN)   :: c6ref
    1128              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: mrefs
    1129              : 
    1130              :       INTEGER                                            :: iref, jref
    1131              :       REAL(KIND=dp)                                      :: refc6
    1132              : 
    1133       172737 :       c6ij = 0.0_dp
    1134       705837 :       DO jref = 1, mrefs(jk)
    1135      2692720 :          DO iref = 1, mrefs(ik)
    1136      1986883 :             refc6 = c6ref(iref, jref, ik, jk)
    1137      2519983 :             c6ij = c6ij + gwvec(iref, ia, 1)*gwvec(jref, ja, 1)*refc6
    1138              :          END DO
    1139              :       END DO
    1140              : 
    1141       172737 :    END SUBROUTINE get_c6value
    1142              : 
    1143              : ! **************************************************************************************************
    1144              : !> \brief ...
    1145              : !> \param c6ij ...
    1146              : !> \param dc6dcn ...
    1147              : !> \param dc6dq ...
    1148              : !> \param ia ...
    1149              : !> \param ja ...
    1150              : !> \param ik ...
    1151              : !> \param jk ...
    1152              : !> \param gwvec ...
    1153              : !> \param gwdcn ...
    1154              : !> \param gwdq ...
    1155              : !> \param c6ref ...
    1156              : !> \param mrefs ...
    1157              : ! **************************************************************************************************
    1158       368256 :    SUBROUTINE get_c6derivs(c6ij, dc6dcn, dc6dq, ia, ja, ik, jk, &
    1159       368256 :                            gwvec, gwdcn, gwdq, c6ref, mrefs)
    1160              :       REAL(KIND=dp), INTENT(OUT)                         :: c6ij
    1161              :       REAL(KIND=dp), DIMENSION(2), INTENT(OUT)           :: dc6dcn, dc6dq
    1162              :       INTEGER, INTENT(IN)                                :: ia, ja, ik, jk
    1163              :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(IN)      :: gwvec, gwdcn, gwdq
    1164              :       REAL(KIND=dp), DIMENSION(:, :, :, :), INTENT(IN)   :: c6ref
    1165              :       INTEGER, DIMENSION(:), INTENT(IN)                  :: mrefs
    1166              : 
    1167              :       INTEGER                                            :: iref, jref
    1168              :       REAL(KIND=dp)                                      :: refc6
    1169              : 
    1170       368256 :       c6ij = 0.0_dp
    1171       368256 :       dc6dcn = 0.0_dp
    1172       368256 :       dc6dq = 0.0_dp
    1173      1354578 :       DO jref = 1, mrefs(jk)
    1174      5114958 :          DO iref = 1, mrefs(ik)
    1175      3760380 :             refc6 = c6ref(iref, jref, ik, jk)
    1176      3760380 :             c6ij = c6ij + gwvec(iref, ia, 1)*gwvec(jref, ja, 1)*refc6
    1177      3760380 :             dc6dcn(1) = dc6dcn(1) + gwdcn(iref, ia, 1)*gwvec(jref, ja, 1)*refc6
    1178      3760380 :             dc6dcn(2) = dc6dcn(2) + gwvec(iref, ia, 1)*gwdcn(jref, ja, 1)*refc6
    1179      3760380 :             dc6dq(1) = dc6dq(1) + gwdq(iref, ia, 1)*gwvec(jref, ja, 1)*refc6
    1180      4746702 :             dc6dq(2) = dc6dq(2) + gwvec(iref, ia, 1)*gwdq(jref, ja, 1)*refc6
    1181              :          END DO
    1182              :       END DO
    1183              : 
    1184       368256 :    END SUBROUTINE get_c6derivs
    1185              : 
    1186              : ! **************************************************************************************************
    1187              : !> \brief ...
    1188              : !> \param ga ...
    1189              : !> \param gd ...
    1190              : !> \param ev1 ...
    1191              : !> \param ev2 ...
    1192              : !> \param ev3 ...
    1193              : !> \param ev4 ...
    1194              : ! **************************************************************************************************
    1195            0 :    SUBROUTINE gerror(ga, gd, ev1, ev2, ev3, ev4)
    1196              :       REAL(KIND=dp), DIMENSION(:, :)                     :: ga, gd
    1197              :       REAL(KIND=dp), INTENT(OUT)                         :: ev1, ev2, ev3, ev4
    1198              : 
    1199              :       INTEGER                                            :: na, np(2)
    1200              : 
    1201            0 :       na = SIZE(ga, 2)
    1202            0 :       ev1 = SQRT(SUM((gd - ga)**2)/na)
    1203            0 :       ev2 = ev1/SQRT(SUM(gd**2)/na)*100._dp
    1204            0 :       np = MAXLOC(ABS(gd - ga))
    1205            0 :       ev3 = ABS(gd(np(1), np(2)) - ga(np(1), np(2)))
    1206            0 :       ev4 = ABS(gd(np(1), np(2)))
    1207            0 :       IF (ev4 > 1.E-6) THEN
    1208            0 :          ev4 = ev3/ev4*100._dp
    1209              :       ELSE
    1210            0 :          ev4 = 100.0_dp
    1211              :       END IF
    1212              : 
    1213            0 :    END SUBROUTINE gerror
    1214              : 
    1215              : ! **************************************************************************************************
    1216              : !> \brief ...
    1217              : !> \param sa ...
    1218              : !> \param sd ...
    1219              : !> \param ev1 ...
    1220              : !> \param ev2 ...
    1221              : ! **************************************************************************************************
    1222            0 :    SUBROUTINE serror(sa, sd, ev1, ev2)
    1223              :       REAL(KIND=dp), DIMENSION(3, 3)                     :: sa, sd
    1224              :       REAL(KIND=dp), INTENT(OUT)                         :: ev1, ev2
    1225              : 
    1226              :       INTEGER                                            :: i, j
    1227              :       REAL(KIND=dp)                                      :: rel
    1228              : 
    1229            0 :       ev1 = MAXVAL(ABS(sd - sa))
    1230            0 :       ev2 = 0.0_dp
    1231            0 :       DO i = 1, 3
    1232            0 :          DO j = 1, 3
    1233            0 :             IF (ABS(sd(i, j)) > 1.E-6_dp) THEN
    1234            0 :                rel = ABS(sd(i, j) - sa(i, j))/ABS(sd(i, j))*100._dp
    1235            0 :                ev2 = MAX(ev2, rel)
    1236              :             END IF
    1237              :          END DO
    1238              :       END DO
    1239              : 
    1240            0 :    END SUBROUTINE serror
    1241              : 
    1242              : ! **************************************************************************************************
    1243              : !> \brief ...
    1244              : !> \param va ...
    1245              : !> \param vd ...
    1246              : !> \param ev1 ...
    1247              : !> \param ev2 ...
    1248              : ! **************************************************************************************************
    1249            0 :    SUBROUTINE verror(va, vd, ev1, ev2)
    1250              :       REAL(KIND=dp), DIMENSION(:)                        :: va, vd
    1251              :       REAL(KIND=dp), INTENT(OUT)                         :: ev1, ev2
    1252              : 
    1253              :       INTEGER                                            :: i, na
    1254              :       REAL(KIND=dp)                                      :: rel
    1255              : 
    1256            0 :       na = SIZE(va)
    1257            0 :       ev1 = MAXVAL(ABS(vd - va))
    1258            0 :       ev2 = 0.0_dp
    1259            0 :       DO i = 1, na
    1260            0 :          IF (ABS(vd(i)) > 1.E-8_dp) THEN
    1261            0 :             rel = ABS(vd(i) - va(i))/ABS(vd(i))*100._dp
    1262            0 :             ev2 = MAX(ev2, rel)
    1263              :          END IF
    1264              :       END DO
    1265              : 
    1266            0 :    END SUBROUTINE verror
    1267              : 
    1268          916 : END MODULE qs_dispersion_d4
        

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