LCOV - code coverage report
Current view: top level - src - cp_ddapc_forces.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:b279b6b) Lines: 239 256 93.4 %
Date: 2024-04-24 07:13:09 Functions: 6 6 100.0 %

          Line data    Source code
       1             : !--------------------------------------------------------------------------------------------------!
       2             : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3             : !   Copyright 2000-2024 CP2K developers group <https://cp2k.org>                                   !
       4             : !                                                                                                  !
       5             : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6             : !--------------------------------------------------------------------------------------------------!
       7             : 
       8             : ! **************************************************************************************************
       9             : !> \brief Density Derived atomic point charges from a QM calculation
      10             : !>      (see J. Chem. Phys. Vol. 103 pp. 7422-7428)
      11             : !> \par History
      12             : !>      08.2005 created [tlaino]
      13             : !> \author Teodoro Laino
      14             : ! **************************************************************************************************
      15             : MODULE cp_ddapc_forces
      16             : 
      17             :    USE atomic_kind_types,               ONLY: atomic_kind_type,&
      18             :                                               get_atomic_kind_set
      19             :    USE cell_types,                      ONLY: cell_type
      20             :    USE cp_control_types,                ONLY: ddapc_restraint_type
      21             :    USE input_constants,                 ONLY: do_ddapc_constraint,&
      22             :                                               do_ddapc_restraint,&
      23             :                                               weight_type_mass,&
      24             :                                               weight_type_unit
      25             :    USE input_section_types,             ONLY: section_vals_type,&
      26             :                                               section_vals_val_get
      27             :    USE kinds,                           ONLY: dp
      28             :    USE mathconstants,                   ONLY: fourpi,&
      29             :                                               pi,&
      30             :                                               rootpi,&
      31             :                                               twopi
      32             :    USE message_passing,                 ONLY: mp_para_env_type
      33             :    USE particle_types,                  ONLY: particle_type
      34             :    USE pw_spline_utils,                 ONLY: Eval_d_Interp_Spl3_pbc
      35             :    USE pw_types,                        ONLY: pw_r3d_rs_type
      36             :    USE qs_environment_types,            ONLY: get_qs_env,&
      37             :                                               qs_environment_type
      38             :    USE qs_force_types,                  ONLY: qs_force_type
      39             :    USE spherical_harmonics,             ONLY: dlegendre,&
      40             :                                               legendre
      41             : !NB for reducing results of calculations that use dq, which is now spread over nodes
      42             : #include "./base/base_uses.f90"
      43             : 
      44             :    IMPLICIT NONE
      45             :    PRIVATE
      46             : 
      47             :    LOGICAL, PRIVATE, PARAMETER :: debug_this_module = .TRUE.
      48             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'cp_ddapc_forces'
      49             :    PUBLIC :: ewald_ddapc_force, &
      50             :              reset_ch_pulay, &
      51             :              evaluate_restraint_functional, &
      52             :              restraint_functional_force, &
      53             :              solvation_ddapc_force
      54             : 
      55             : CONTAINS
      56             : 
      57             : ! **************************************************************************************************
      58             : !> \brief Evaluates the Ewald term E2 and E3 energy term for the decoupling/coupling
      59             : !>      of periodic images
      60             : !> \param qs_env ...
      61             : !> \param coeff ...
      62             : !> \param apply_qmmm_periodic ...
      63             : !> \param factor ...
      64             : !> \param multipole_section ...
      65             : !> \param cell ...
      66             : !> \param particle_set ...
      67             : !> \param radii ...
      68             : !> \param dq ...
      69             : !> \param charges ...
      70             : !> \par History
      71             : !>      08.2005 created [tlaino]
      72             : !> \author Teodoro Laino
      73             : ! **************************************************************************************************
      74         136 :    RECURSIVE SUBROUTINE ewald_ddapc_force(qs_env, coeff, apply_qmmm_periodic, &
      75             :                                           factor, multipole_section, cell, particle_set, radii, dq, charges)
      76             :       TYPE(qs_environment_type), POINTER                 :: qs_env
      77             :       TYPE(pw_r3d_rs_type), INTENT(IN), POINTER          :: coeff
      78             :       LOGICAL, INTENT(IN)                                :: apply_qmmm_periodic
      79             :       REAL(KIND=dp), INTENT(IN)                          :: factor
      80             :       TYPE(section_vals_type), POINTER                   :: multipole_section
      81             :       TYPE(cell_type), POINTER                           :: cell
      82             :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
      83             :       REAL(KIND=dp), DIMENSION(:), POINTER               :: radii
      84             :       REAL(KIND=dp), DIMENSION(:, :, :), OPTIONAL, &
      85             :          POINTER                                         :: dq
      86             :       REAL(KIND=dp), DIMENSION(:), OPTIONAL, POINTER     :: charges
      87             : 
      88             :       CHARACTER(len=*), PARAMETER                        :: routineN = 'ewald_ddapc_force'
      89             : 
      90             :       INTEGER                                            :: handle, ip1, ip2, iparticle1, &
      91             :                                                             iparticle2, k1, k2, k3, n_rep, nmax1, &
      92             :                                                             nmax2, nmax3, r1, r2, r3, rmax1, &
      93             :                                                             rmax2, rmax3
      94             :       LOGICAL                                            :: analyt
      95             :       REAL(KIND=dp)                                      :: alpha, eps, fac, fac3, fs, galpha, gsq, &
      96             :                                                             gsqi, ij_fac, q1t, q2t, r, r2tmp, &
      97             :                                                             rcut, rcut2, t1, t2, tol, tol1
      98             :       REAL(KIND=dp), DIMENSION(3)                        :: drvec, fvec, gvec, ra, rvec
      99         136 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: d_el, M
     100             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     101             : 
     102         136 :       NULLIFY (d_el, M, para_env)
     103         136 :       CALL timeset(routineN, handle)
     104         136 :       CALL get_qs_env(qs_env, para_env=para_env)
     105         136 :       CPASSERT(PRESENT(charges))
     106         136 :       CPASSERT(ASSOCIATED(radii))
     107         136 :       CPASSERT(cell%orthorhombic)
     108         136 :       rcut = MIN(cell%hmat(1, 1), cell%hmat(2, 2), cell%hmat(3, 3))/2.0_dp
     109         136 :       CALL section_vals_val_get(multipole_section, "RCUT", n_rep_val=n_rep)
     110         136 :       IF (n_rep == 1) CALL section_vals_val_get(multipole_section, "RCUT", r_val=rcut)
     111         136 :       CALL section_vals_val_get(multipole_section, "EWALD_PRECISION", r_val=eps)
     112         136 :       CALL section_vals_val_get(multipole_section, "ANALYTICAL_GTERM", l_val=analyt)
     113         136 :       rcut2 = rcut**2
     114             :       !
     115             :       ! Setting-up parameters for Ewald summation
     116             :       !
     117         136 :       eps = MIN(ABS(eps), 0.5_dp)
     118         136 :       tol = SQRT(ABS(LOG(eps*rcut)))
     119         136 :       alpha = SQRT(ABS(LOG(eps*rcut*tol)))/rcut
     120         136 :       galpha = 1.0_dp/(4.0_dp*alpha*alpha)
     121         136 :       tol1 = SQRT(-LOG(eps*rcut*(2.0_dp*tol*alpha)**2))
     122         136 :       nmax1 = NINT(0.25_dp + cell%hmat(1, 1)*alpha*tol1/pi)
     123         136 :       nmax2 = NINT(0.25_dp + cell%hmat(2, 2)*alpha*tol1/pi)
     124         136 :       nmax3 = NINT(0.25_dp + cell%hmat(3, 3)*alpha*tol1/pi)
     125             : 
     126         136 :       rmax1 = CEILING(rcut/cell%hmat(1, 1))
     127         136 :       rmax2 = CEILING(rcut/cell%hmat(2, 2))
     128         136 :       rmax3 = CEILING(rcut/cell%hmat(3, 3))
     129             : 
     130         408 :       ALLOCATE (d_el(3, SIZE(particle_set)))
     131        1704 :       d_el = 0.0_dp
     132         136 :       fac = 1.e0_dp/cell%deth
     133         136 :       fac3 = fac/8.0_dp
     134         544 :       fvec = twopi/(/cell%hmat(1, 1), cell%hmat(2, 2), cell%hmat(3, 3)/)
     135             :       !
     136         528 :       DO iparticle1 = 1, SIZE(particle_set)
     137             :          !NB parallelization
     138         392 :          IF (MOD(iparticle1, para_env%num_pe) /= para_env%mepos) CYCLE
     139         212 :          ip1 = (iparticle1 - 1)*SIZE(radii)
     140         848 :          q1t = SUM(charges(ip1 + 1:ip1 + SIZE(radii)))
     141         854 :          DO iparticle2 = 1, iparticle1
     142         506 :             ij_fac = 1.0_dp
     143         506 :             IF (iparticle1 == iparticle2) ij_fac = 0.5_dp
     144             : 
     145         506 :             ip2 = (iparticle2 - 1)*SIZE(radii)
     146        2024 :             q2t = SUM(charges(ip2 + 1:ip2 + SIZE(radii)))
     147             :             !
     148             :             ! Real-Space Contribution
     149             :             !
     150        2024 :             rvec = particle_set(iparticle1)%r - particle_set(iparticle2)%r
     151         506 :             IF (iparticle1 /= iparticle2) THEN
     152         294 :                ra = rvec
     153        1176 :                r2tmp = DOT_PRODUCT(ra, ra)
     154         294 :                IF (r2tmp <= rcut2) THEN
     155         182 :                   r = SQRT(r2tmp)
     156         182 :                   t1 = erfc(alpha*r)/r
     157         728 :                   drvec = ra/r*q1t*q2t*factor
     158         182 :                   t2 = -2.0_dp*alpha*EXP(-alpha*alpha*r*r)/(r*rootpi) - t1/r
     159         728 :                   d_el(1:3, iparticle1) = d_el(1:3, iparticle1) - t2*drvec
     160         728 :                   d_el(1:3, iparticle2) = d_el(1:3, iparticle2) + t2*drvec
     161             :                END IF
     162             :             END IF
     163        2096 :             DO r1 = -rmax1, rmax1
     164        7226 :                DO r2 = -rmax2, rmax2
     165       23910 :                   DO r3 = -rmax3, rmax3
     166       17190 :                      IF ((r1 == 0) .AND. (r2 == 0) .AND. (r3 == 0)) CYCLE
     167       16684 :                      ra(1) = rvec(1) + cell%hmat(1, 1)*r1
     168       16684 :                      ra(2) = rvec(2) + cell%hmat(2, 2)*r2
     169       16684 :                      ra(3) = rvec(3) + cell%hmat(3, 3)*r3
     170       66736 :                      r2tmp = DOT_PRODUCT(ra, ra)
     171       21814 :                      IF (r2tmp <= rcut2) THEN
     172        1020 :                         r = SQRT(r2tmp)
     173        1020 :                         t1 = erfc(alpha*r)/r
     174        4080 :                         drvec = ra/r*q1t*q2t*factor*ij_fac
     175        1020 :                         t2 = -2.0_dp*alpha*EXP(-alpha*alpha*r*r)/(r*rootpi) - t1/r
     176        1020 :                         d_el(1, iparticle1) = d_el(1, iparticle1) - t2*drvec(1)
     177        1020 :                         d_el(2, iparticle1) = d_el(2, iparticle1) - t2*drvec(2)
     178        1020 :                         d_el(3, iparticle1) = d_el(3, iparticle1) - t2*drvec(3)
     179        1020 :                         d_el(1, iparticle2) = d_el(1, iparticle2) + t2*drvec(1)
     180        1020 :                         d_el(2, iparticle2) = d_el(2, iparticle2) + t2*drvec(2)
     181        1020 :                         d_el(3, iparticle2) = d_el(3, iparticle2) + t2*drvec(3)
     182             :                      END IF
     183             :                   END DO
     184             :                END DO
     185             :             END DO
     186             :             !
     187             :             ! G-space Contribution
     188             :             !
     189         506 :             IF (analyt) THEN
     190        2599 :                DO k1 = 0, nmax1
     191       66864 :                   DO k2 = -nmax2, nmax2
     192     1964583 :                      DO k3 = -nmax3, nmax3
     193     1897925 :                         IF (k1 == 0 .AND. k2 == 0 .AND. k3 == 0) CYCLE
     194     1897719 :                         fs = 2.0_dp; IF (k1 == 0) fs = 1.0_dp
     195     7590876 :                         gvec = fvec*(/REAL(k1, KIND=dp), REAL(k2, KIND=dp), REAL(k3, KIND=dp)/)
     196     7590876 :                         gsq = DOT_PRODUCT(gvec, gvec)
     197     1897719 :                         gsqi = fs/gsq
     198     1897719 :                         t1 = fac*gsqi*EXP(-galpha*gsq)
     199     7590876 :                         t2 = -SIN(DOT_PRODUCT(gvec, rvec))*t1*q1t*q2t*factor*fourpi
     200     7590876 :                         d_el(1:3, iparticle1) = d_el(1:3, iparticle1) - t2*gvec
     201     7655141 :                         d_el(1:3, iparticle2) = d_el(1:3, iparticle2) + t2*gvec
     202             :                      END DO
     203             :                   END DO
     204             :                END DO
     205             :             ELSE
     206        1200 :                gvec = Eval_d_Interp_Spl3_pbc(rvec, coeff)*q1t*q2t*factor*fourpi
     207        1200 :                d_el(1:3, iparticle1) = d_el(1:3, iparticle1) - gvec
     208        1200 :                d_el(1:3, iparticle2) = d_el(1:3, iparticle2) + gvec
     209             :             END IF
     210         898 :             IF (iparticle1 /= iparticle2) THEN
     211         294 :                ra = rvec
     212        1176 :                r = SQRT(DOT_PRODUCT(ra, ra))
     213         294 :                t2 = -1.0_dp/(r*r)*factor
     214        1176 :                drvec = ra/r*q1t*q2t
     215        1176 :                d_el(1:3, iparticle1) = d_el(1:3, iparticle1) + t2*drvec
     216        1176 :                d_el(1:3, iparticle2) = d_el(1:3, iparticle2) - t2*drvec
     217             :             END IF
     218             :          END DO ! iparticle2
     219             :       END DO ! iparticle1
     220             :       !NB parallelization
     221        3272 :       CALL para_env%sum(d_el)
     222         136 :       M => qs_env%cp_ddapc_env%Md
     223         136 :       IF (apply_qmmm_periodic) M => qs_env%cp_ddapc_env%Mr
     224         136 :       CALL cp_decpl_ddapc_forces(qs_env, M, charges, dq, d_el, particle_set)
     225         136 :       DEALLOCATE (d_el)
     226         136 :       CALL timestop(handle)
     227         408 :    END SUBROUTINE ewald_ddapc_force
     228             : 
     229             : ! **************************************************************************************************
     230             : !> \brief Evaluation of the pulay forces due to the fitted charge density
     231             : !> \param qs_env ...
     232             : !> \param M ...
     233             : !> \param charges ...
     234             : !> \param dq ...
     235             : !> \param d_el ...
     236             : !> \param particle_set ...
     237             : !> \par History
     238             : !>      08.2005 created [tlaino]
     239             : !> \author Teodoro Laino
     240             : ! **************************************************************************************************
     241         150 :    SUBROUTINE cp_decpl_ddapc_forces(qs_env, M, charges, dq, d_el, particle_set)
     242             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     243             :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: M
     244             :       REAL(KIND=dp), DIMENSION(:), POINTER               :: charges
     245             :       REAL(KIND=dp), DIMENSION(:, :, :), POINTER         :: dq
     246             :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: d_el
     247             :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     248             : 
     249             :       CHARACTER(len=*), PARAMETER :: routineN = 'cp_decpl_ddapc_forces'
     250             : 
     251             :       INTEGER                                            :: handle, i, iatom, ikind, j, k, natom
     252         150 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: atom_of_kind, kind_of
     253         150 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: uv
     254             :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: chf
     255         150 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     256             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     257         150 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     258             : 
     259         150 :       NULLIFY (para_env)
     260         150 :       CALL timeset(routineN, handle)
     261         150 :       natom = SIZE(particle_set)
     262             :       CALL get_qs_env(qs_env=qs_env, &
     263             :                       atomic_kind_set=atomic_kind_set, &
     264             :                       para_env=para_env, &
     265         150 :                       force=force)
     266         450 :       ALLOCATE (chf(3, natom))
     267             :       CALL get_atomic_kind_set(atomic_kind_set=atomic_kind_set, &
     268             :                                atom_of_kind=atom_of_kind, &
     269         150 :                                kind_of=kind_of)
     270             : 
     271         450 :       ALLOCATE (uv(SIZE(M, 1)))
     272       47172 :       uv(:) = MATMUL(M, charges)
     273         580 :       DO k = 1, natom
     274        1870 :          DO j = 1, 3
     275       16534 :             chf(j, k) = DOT_PRODUCT(uv, dq(:, k, j))
     276             :          END DO
     277             :       END DO
     278             :       !NB now that get_ddapc returns dq that's spread over nodes, must reduce chf here
     279         150 :       CALL para_env%sum(chf)
     280         580 :       DO iatom = 1, natom
     281         430 :          ikind = kind_of(iatom)
     282         430 :          i = atom_of_kind(iatom)
     283        3590 :          force(ikind)%ch_pulay(1:3, i) = force(ikind)%ch_pulay(1:3, i) + chf(1:3, iatom) + d_el(1:3, iatom)
     284             :       END DO
     285         150 :       DEALLOCATE (chf)
     286         150 :       DEALLOCATE (uv)
     287         150 :       CALL timestop(handle)
     288         300 :    END SUBROUTINE cp_decpl_ddapc_forces
     289             : 
     290             : ! **************************************************************************************************
     291             : !> \brief Evaluation of the pulay forces due to the fitted charge density
     292             : !> \param qs_env ...
     293             : !> \par History
     294             : !>      08.2005 created [tlaino]
     295             : !> \author Teodoro Laino
     296             : ! **************************************************************************************************
     297         120 :    SUBROUTINE reset_ch_pulay(qs_env)
     298             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     299             : 
     300             :       CHARACTER(len=*), PARAMETER                        :: routineN = 'reset_ch_pulay'
     301             : 
     302             :       INTEGER                                            :: handle, ind
     303         120 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     304             : 
     305         120 :       CALL timeset(routineN, handle)
     306             :       CALL get_qs_env(qs_env=qs_env, &
     307         120 :                       force=force)
     308         324 :       DO ind = 1, SIZE(force)
     309        1612 :          force(ind)%ch_pulay = 0.0_dp
     310             :       END DO
     311         120 :       CALL timestop(handle)
     312         120 :    END SUBROUTINE reset_ch_pulay
     313             : 
     314             : ! **************************************************************************************************
     315             : !> \brief computes energy and derivatives given a set of charges
     316             : !> \param ddapc_restraint_control ...
     317             : !> \param n_gauss ...
     318             : !> \param uv derivate of energy wrt the corresponding charge entry
     319             : !> \param charges current value of the charges (one number for each gaussian used)
     320             : !>
     321             : !> \param energy_res energy due to the restraint
     322             : !> \par History
     323             : !>      02.2006 [Joost VandeVondele]
     324             : !>               modified [Teo]
     325             : !> \note
     326             : !>       should be easy to adapt for other specialized cases
     327             : ! **************************************************************************************************
     328         536 :    SUBROUTINE evaluate_restraint_functional(ddapc_restraint_control, n_gauss, uv, &
     329             :                                             charges, energy_res)
     330             :       TYPE(ddapc_restraint_type), INTENT(INOUT)          :: ddapc_restraint_control
     331             :       INTEGER, INTENT(in)                                :: n_gauss
     332             :       REAL(KIND=dp), DIMENSION(:)                        :: uv
     333             :       REAL(KIND=dp), DIMENSION(:), POINTER               :: charges
     334             :       REAL(KIND=dp), INTENT(INOUT)                       :: energy_res
     335             : 
     336             :       INTEGER                                            :: I, ind
     337             :       REAL(KIND=dp)                                      :: dE, order_p
     338             : 
     339             : ! order parameter (i.e. the sum of the charges of the selected atoms)
     340             : 
     341         536 :       order_p = 0.0_dp
     342        1156 :       DO I = 1, ddapc_restraint_control%natoms
     343         620 :          ind = (ddapc_restraint_control%atoms(I) - 1)*n_gauss
     344        2176 :          order_p = order_p + ddapc_restraint_control%coeff(I)*SUM(charges(ind + 1:ind + n_gauss))
     345             :       END DO
     346         536 :       ddapc_restraint_control%ddapc_order_p = order_p
     347             : 
     348         708 :       SELECT CASE (ddapc_restraint_control%functional_form)
     349             :       CASE (do_ddapc_restraint)
     350             :          ! the restraint energy
     351         172 :          energy_res = ddapc_restraint_control%strength*(order_p - ddapc_restraint_control%target)**2.0_dp
     352             : 
     353             :          ! derivative of the energy
     354         172 :          dE = 2.0_dp*ddapc_restraint_control%strength*(order_p - ddapc_restraint_control%target)
     355         344 :          DO I = 1, ddapc_restraint_control%natoms
     356         172 :             ind = (ddapc_restraint_control%atoms(I) - 1)*n_gauss
     357         860 :             uv(ind + 1:ind + n_gauss) = dE*ddapc_restraint_control%coeff(I)
     358             :          END DO
     359             :       CASE (do_ddapc_constraint)
     360         364 :          energy_res = ddapc_restraint_control%strength*(order_p - ddapc_restraint_control%target)
     361             : 
     362             :          ! derivative of the energy
     363         812 :          DO I = 1, ddapc_restraint_control%natoms
     364         448 :             ind = (ddapc_restraint_control%atoms(I) - 1)*n_gauss
     365        1316 :             uv(ind + 1:ind + n_gauss) = ddapc_restraint_control%strength*ddapc_restraint_control%coeff(I)
     366             :          END DO
     367             : 
     368             :       CASE DEFAULT
     369         536 :          CPABORT("")
     370             :       END SELECT
     371             : 
     372         536 :    END SUBROUTINE evaluate_restraint_functional
     373             : 
     374             : ! **************************************************************************************************
     375             : !> \brief computes derivatives for DDAPC restraint
     376             : !> \param qs_env ...
     377             : !> \param ddapc_restraint_control ...
     378             : !> \param dq ...
     379             : !> \param charges ...
     380             : !> \param n_gauss ...
     381             : !> \param particle_set ...
     382             : !> \par History
     383             : !>      02.2006 [Joost VandeVondele]
     384             : !>              modified [Teo]
     385             : !> \note
     386             : !>       should be easy to adapt for other specialized cases
     387             : ! **************************************************************************************************
     388          36 :    SUBROUTINE restraint_functional_force(qs_env, ddapc_restraint_control, dq, charges, &
     389             :                                          n_gauss, particle_set)
     390             : 
     391             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     392             :       TYPE(ddapc_restraint_type), INTENT(INOUT)          :: ddapc_restraint_control
     393             :       REAL(KIND=dp), DIMENSION(:, :, :), POINTER         :: dq
     394             :       REAL(KIND=dp), DIMENSION(:), POINTER               :: charges
     395             :       INTEGER, INTENT(in)                                :: n_gauss
     396             :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     397             : 
     398             :       CHARACTER(len=*), PARAMETER :: routineN = 'restraint_functional_force'
     399             : 
     400             :       INTEGER                                            :: handle, i, iatom, ikind, j, k, natom
     401          36 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: atom_of_kind, kind_of
     402             :       REAL(kind=dp)                                      :: dum
     403             :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: uv
     404             :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: chf
     405          36 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     406             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     407          36 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     408             : 
     409          36 :       NULLIFY (para_env)
     410          36 :       CALL timeset(routineN, handle)
     411          36 :       natom = SIZE(particle_set)
     412             :       CALL get_qs_env(qs_env=qs_env, &
     413             :                       atomic_kind_set=atomic_kind_set, &
     414             :                       para_env=para_env, &
     415          36 :                       force=force)
     416         108 :       ALLOCATE (chf(3, natom))
     417             :       CALL get_atomic_kind_set(atomic_kind_set=atomic_kind_set, &
     418             :                                atom_of_kind=atom_of_kind, &
     419          36 :                                kind_of=kind_of)
     420             : 
     421         108 :       ALLOCATE (uv(SIZE(dq, 1)))
     422         174 :       uv = 0.0_dp
     423             :       CALL evaluate_restraint_functional(ddapc_restraint_control, n_gauss, uv, &
     424          36 :                                          charges, dum)
     425         118 :       DO k = 1, natom
     426         364 :          DO j = 1, 3
     427        1318 :             chf(j, k) = DOT_PRODUCT(uv, dq(:, k, j))
     428             :          END DO
     429             :       END DO
     430             :       !NB now that get_ddapc returns dq that's spread over nodes, must reduce chf here
     431          36 :       CALL para_env%sum(chf)
     432         118 :       DO iatom = 1, natom
     433          82 :          ikind = kind_of(iatom)
     434          82 :          i = atom_of_kind(iatom)
     435         364 :          force(ikind)%ch_pulay(1:3, i) = force(ikind)%ch_pulay(1:3, i) + chf(1:3, iatom)
     436             :       END DO
     437          36 :       DEALLOCATE (chf)
     438          36 :       DEALLOCATE (uv)
     439          36 :       CALL timestop(handle)
     440             : 
     441          72 :    END SUBROUTINE restraint_functional_force
     442             : 
     443             : ! **************************************************************************************************
     444             : !> \brief Evaluates the electrostatic potential due to a simple solvation model
     445             : !>      Spherical cavity in a dieletric medium
     446             : !> \param qs_env ...
     447             : !> \param solvation_section ...
     448             : !> \param particle_set ...
     449             : !> \param radii ...
     450             : !> \param dq ...
     451             : !> \param charges ...
     452             : !> \par History
     453             : !>      08.2006 created [tlaino]
     454             : !> \author Teodoro Laino
     455             : ! **************************************************************************************************
     456          14 :    SUBROUTINE solvation_ddapc_force(qs_env, solvation_section, particle_set, &
     457             :                                     radii, dq, charges)
     458             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     459             :       TYPE(section_vals_type), POINTER                   :: solvation_section
     460             :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     461             :       REAL(KIND=dp), DIMENSION(:), POINTER               :: radii
     462             :       REAL(KIND=dp), DIMENSION(:, :, :), OPTIONAL, &
     463             :          POINTER                                         :: dq
     464             :       REAL(KIND=dp), DIMENSION(:), OPTIONAL, POINTER     :: charges
     465             : 
     466             :       INTEGER                                            :: i, ip1, ip2, iparticle1, iparticle2, l, &
     467             :                                                             lmax, n_rep1, n_rep2, weight
     468          14 :       INTEGER, DIMENSION(:), POINTER                     :: list
     469             :       LOGICAL                                            :: fixed_center
     470             :       REAL(KIND=dp) :: center(3), dcos1(3), dcos2(3), dpos1(3), dpos2(3), eps_in, eps_out, &
     471             :          factor1(3), factor2(3), lr, mass, mycos, pos1, pos1i, pos2, pos2i, ptcos, q1t, q2t, &
     472             :          r1(3), r1s, r2(3), r2s, Rs, rvec(3)
     473          14 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: pos, R0
     474          14 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: d_el, LocP, M
     475             : 
     476          14 :       fixed_center = .FALSE.
     477          14 :       NULLIFY (d_el, M)
     478          14 :       eps_in = 1.0_dp
     479          14 :       CALL section_vals_val_get(solvation_section, "EPS_OUT", r_val=eps_out)
     480          14 :       CALL section_vals_val_get(solvation_section, "LMAX", i_val=lmax)
     481          14 :       CALL section_vals_val_get(solvation_section, "SPHERE%RADIUS", r_val=Rs)
     482          14 :       CALL section_vals_val_get(solvation_section, "SPHERE%CENTER%XYZ", n_rep_val=n_rep1)
     483          14 :       IF (n_rep1 /= 0) THEN
     484          14 :          CALL section_vals_val_get(solvation_section, "SPHERE%CENTER%XYZ", r_vals=R0)
     485          56 :          center = R0
     486             :       ELSE
     487             :          CALL section_vals_val_get(solvation_section, "SPHERE%CENTER%ATOM_LIST", &
     488           0 :                                    n_rep_val=n_rep2)
     489           0 :          IF (n_rep2 /= 0) THEN
     490           0 :             CALL section_vals_val_get(solvation_section, "SPHERE%CENTER%ATOM_LIST", i_vals=list)
     491           0 :             CALL section_vals_val_get(solvation_section, "SPHERE%CENTER%WEIGHT_TYPE", i_val=weight)
     492           0 :             ALLOCATE (R0(SIZE(list)))
     493             :             SELECT CASE (weight)
     494             :             CASE (weight_type_unit)
     495           0 :                R0 = 0.0_dp
     496           0 :                DO i = 1, SIZE(list)
     497           0 :                   R0 = R0 + particle_set(list(i))%r
     498             :                END DO
     499           0 :                R0 = R0/REAL(SIZE(list), KIND=dp)
     500             :             CASE (weight_type_mass)
     501           0 :                R0 = 0.0_dp
     502           0 :                mass = 0.0_dp
     503           0 :                DO i = 1, SIZE(list)
     504           0 :                   R0 = R0 + particle_set(list(i))%r*particle_set(list(i))%atomic_kind%mass
     505           0 :                   mass = mass + particle_set(list(i))%atomic_kind%mass
     506             :                END DO
     507           0 :                R0 = R0/mass
     508             :             END SELECT
     509           0 :             center = R0
     510           0 :             DEALLOCATE (R0)
     511             :          END IF
     512             :       END IF
     513          14 :       CPASSERT(n_rep1 /= 0 .OR. n_rep2 /= 0)
     514             :       ! Potential calculation
     515          56 :       ALLOCATE (LocP(0:lmax, SIZE(particle_set)))
     516          42 :       ALLOCATE (pos(SIZE(particle_set)))
     517          42 :       ALLOCATE (d_el(3, SIZE(particle_set)))
     518         166 :       d_el = 0.0_dp
     519             :       ! Determining the single atomic contribution to the dielectric dipole
     520          52 :       DO i = 1, SIZE(particle_set)
     521         152 :          rvec = particle_set(i)%r - center
     522         152 :          r2s = DOT_PRODUCT(rvec, rvec)
     523          38 :          r1s = SQRT(r2s)
     524         190 :          LocP(:, i) = 0.0_dp
     525          38 :          IF (r1s /= 0.0_dp) THEN
     526         170 :             DO l = 0, lmax
     527             :                LocP(l, i) = (r1s**l*REAL(l + 1, KIND=dp)*(eps_in - eps_out))/ &
     528         170 :                             (Rs**(2*l + 1)*eps_in*(REAL(l, KIND=dp)*eps_in + REAL(l + 1, KIND=dp)*eps_out))
     529             :             END DO
     530             :          END IF
     531          52 :          pos(i) = r1s
     532             :       END DO
     533             :       ! Computes the full derivatives of the interaction energy
     534          52 :       DO iparticle1 = 1, SIZE(particle_set)
     535          38 :          ip1 = (iparticle1 - 1)*SIZE(radii)
     536         152 :          q1t = SUM(charges(ip1 + 1:ip1 + SIZE(radii)))
     537         126 :          DO iparticle2 = 1, iparticle1
     538          74 :             ip2 = (iparticle2 - 1)*SIZE(radii)
     539         296 :             q2t = SUM(charges(ip2 + 1:ip2 + SIZE(radii)))
     540             :             !
     541         296 :             r1 = particle_set(iparticle1)%r - center
     542         296 :             r2 = particle_set(iparticle2)%r - center
     543          74 :             pos1 = pos(iparticle1)
     544          74 :             pos2 = pos(iparticle2)
     545          74 :             factor1 = 0.0_dp
     546          74 :             factor2 = 0.0_dp
     547          74 :             IF (pos1*pos2 /= 0.0_dp) THEN
     548          62 :                pos1i = 1.0_dp/pos1
     549          62 :                pos2i = 1.0_dp/pos2
     550         248 :                dpos1 = pos1i*r1
     551         248 :                dpos2 = pos2i*r2
     552         248 :                ptcos = DOT_PRODUCT(r1, r2)
     553          62 :                mycos = ptcos/(pos1*pos2)
     554          62 :                IF (ABS(mycos) > 1.0_dp) mycos = SIGN(1.0_dp, mycos)
     555         248 :                dcos1 = (r2*(pos1*pos2) - pos2*dpos1*ptcos)/(pos1*pos2)**2
     556         248 :                dcos2 = (r1*(pos1*pos2) - pos1*dpos2*ptcos)/(pos1*pos2)**2
     557             : 
     558         248 :                DO l = 1, lmax
     559         186 :                   lr = REAL(l, KIND=dp)
     560             :                   factor1 = factor1 + lr*LocP(l, iparticle2)*pos1**(l - 1)*legendre(mycos, l, 0)*dpos1 &
     561         744 :                             + LocP(l, iparticle2)*pos1**l*dlegendre(mycos, l, 0)*dcos1
     562             :                   factor2 = factor2 + lr*LocP(l, iparticle1)*pos2**(l - 1)*legendre(mycos, l, 0)*dpos2 &
     563         806 :                             + LocP(l, iparticle1)*pos2**l*dlegendre(mycos, l, 0)*dcos2
     564             :                END DO
     565             :             END IF
     566         296 :             factor1 = factor1*q1t*q2t
     567         296 :             factor2 = factor2*q1t*q2t
     568         296 :             d_el(1:3, iparticle1) = d_el(1:3, iparticle1) + 0.5_dp*factor1
     569         334 :             d_el(1:3, iparticle2) = d_el(1:3, iparticle2) + 0.5_dp*factor2
     570             :          END DO
     571             :       END DO
     572          14 :       DEALLOCATE (pos)
     573          14 :       DEALLOCATE (LocP)
     574          14 :       M => qs_env%cp_ddapc_env%Ms
     575          14 :       CALL cp_decpl_ddapc_forces(qs_env, M, charges, dq, d_el, particle_set)
     576          14 :       DEALLOCATE (d_el)
     577          14 :    END SUBROUTINE solvation_ddapc_force
     578             : 
     579             : END MODULE cp_ddapc_forces

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