LCOV - code coverage report
Current view: top level - src - lri_forces.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:ccc2433) Lines: 87 132 65.9 %
Date: 2024-04-25 07:09:54 Functions: 3 5 60.0 %

          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 Calculates forces for LRIGPW method
      10             : !>        lri : local resolution of the identity
      11             : !> \par History
      12             : !>      created Dorothea Golze [03.2014]
      13             : !>      refactoring and distant pair approximation JGH [08.2017]
      14             : !> \authors Dorothea Golze
      15             : ! **************************************************************************************************
      16             : MODULE lri_forces
      17             : 
      18             :    USE atomic_kind_types,               ONLY: atomic_kind_type,&
      19             :                                               get_atomic_kind,&
      20             :                                               get_atomic_kind_set
      21             :    USE basis_set_types,                 ONLY: gto_basis_set_type
      22             :    USE dbcsr_api,                       ONLY: dbcsr_get_block_p,&
      23             :                                               dbcsr_p_type,&
      24             :                                               dbcsr_type
      25             :    USE kinds,                           ONLY: dp
      26             :    USE kpoint_types,                    ONLY: get_kpoint_info,&
      27             :                                               kpoint_type
      28             :    USE lri_environment_types,           ONLY: &
      29             :         allocate_lri_force_components, deallocate_lri_force_components, lri_density_type, &
      30             :         lri_environment_type, lri_force_type, lri_int_type, lri_kind_type, lri_list_type, &
      31             :         lri_rhoab_type
      32             :    USE lri_integrals,                   ONLY: allocate_int_type,&
      33             :                                               deallocate_int_type,&
      34             :                                               dint_type,&
      35             :                                               lri_dint2
      36             :    USE qs_environment_types,            ONLY: get_qs_env,&
      37             :                                               qs_environment_type
      38             :    USE qs_force_types,                  ONLY: qs_force_type
      39             :    USE qs_ks_types,                     ONLY: get_ks_env,&
      40             :                                               qs_ks_env_type
      41             :    USE qs_neighbor_list_types,          ONLY: get_iterator_info,&
      42             :                                               neighbor_list_iterate,&
      43             :                                               neighbor_list_iterator_create,&
      44             :                                               neighbor_list_iterator_p_type,&
      45             :                                               neighbor_list_iterator_release,&
      46             :                                               neighbor_list_set_p_type
      47             :    USE qs_o3c_types,                    ONLY: get_o3c_iterator_info,&
      48             :                                               o3c_iterate,&
      49             :                                               o3c_iterator_create,&
      50             :                                               o3c_iterator_release,&
      51             :                                               o3c_iterator_type
      52             :    USE virial_methods,                  ONLY: virial_pair_force
      53             :    USE virial_types,                    ONLY: virial_type
      54             : 
      55             : !$ USE OMP_LIB, ONLY: omp_get_max_threads, omp_get_thread_num
      56             : #include "./base/base_uses.f90"
      57             : 
      58             :    IMPLICIT NONE
      59             : 
      60             :    PRIVATE
      61             : 
      62             : ! **************************************************************************************************
      63             : 
      64             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'lri_forces'
      65             : 
      66             :    PUBLIC :: calculate_lri_forces, calculate_ri_forces
      67             : 
      68             : ! **************************************************************************************************
      69             : 
      70             : CONTAINS
      71             : 
      72             : ! **************************************************************************************************
      73             : !> \brief calculates the lri forces
      74             : !> \param lri_env ...
      75             : !> \param lri_density ...
      76             : !> \param qs_env ...
      77             : !> \param pmatrix density matrix
      78             : !> \param atomic_kind_set ...
      79             : ! **************************************************************************************************
      80          26 :    SUBROUTINE calculate_lri_forces(lri_env, lri_density, qs_env, pmatrix, atomic_kind_set)
      81             : 
      82             :       TYPE(lri_environment_type), POINTER                :: lri_env
      83             :       TYPE(lri_density_type), POINTER                    :: lri_density
      84             :       TYPE(qs_environment_type), POINTER                 :: qs_env
      85             :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: pmatrix
      86             :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
      87             : 
      88             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'calculate_lri_forces'
      89             : 
      90             :       INTEGER                                            :: handle, iatom, ikind, ispin, natom, &
      91             :                                                             nkind, nspin
      92          26 :       INTEGER, DIMENSION(:, :, :), POINTER               :: cell_to_index
      93             :       LOGICAL                                            :: use_virial
      94          26 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: v_dadr, v_dfdr
      95             :       TYPE(atomic_kind_type), POINTER                    :: atomic_kind
      96             :       TYPE(kpoint_type), POINTER                         :: kpoints
      97          26 :       TYPE(lri_kind_type), DIMENSION(:), POINTER         :: lri_coef
      98          26 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
      99             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     100             :       TYPE(virial_type), POINTER                         :: virial
     101             : 
     102          26 :       CALL timeset(routineN, handle)
     103          26 :       NULLIFY (atomic_kind, force, lri_coef, v_dadr, v_dfdr, virial)
     104             : 
     105          26 :       IF (ASSOCIATED(lri_env%soo_list)) THEN
     106             : 
     107          26 :          nkind = lri_env%lri_ints%nkind
     108          26 :          nspin = SIZE(pmatrix, 1)
     109          26 :          CALL get_atomic_kind_set(atomic_kind_set=atomic_kind_set, natom=natom)
     110          26 :          CALL get_qs_env(qs_env=qs_env, force=force, virial=virial)
     111          26 :          use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
     112          26 :          CALL get_qs_env(qs_env=qs_env, ks_env=ks_env)
     113          26 :          CALL get_ks_env(ks_env=ks_env, kpoints=kpoints)
     114          26 :          CALL get_kpoint_info(kpoint=kpoints, cell_to_index=cell_to_index)
     115             : 
     116             :          !calculate SUM_i integral(V*fbas_i)*davec/dR
     117             :          CALL calculate_v_dadr_sr(lri_env, lri_density, pmatrix, cell_to_index, atomic_kind_set, &
     118          26 :                                   use_virial, virial)
     119          26 :          IF (lri_env%distant_pair_approximation) THEN
     120             :             CALL calculate_v_dadr_ff(lri_env, lri_density, pmatrix, cell_to_index, atomic_kind_set, &
     121           8 :                                      use_virial, virial)
     122             :          END IF
     123             : 
     124          52 :          DO ispin = 1, nspin
     125             : 
     126          26 :             lri_coef => lri_density%lri_coefs(ispin)%lri_kinds
     127             : 
     128         104 :             DO ikind = 1, nkind
     129          52 :                atomic_kind => atomic_kind_set(ikind)
     130          52 :                CALL get_atomic_kind(atomic_kind=atomic_kind, natom=natom)
     131         200 :                DO iatom = 1, natom
     132         122 :                   v_dadr => lri_coef(ikind)%v_dadr(iatom, :)
     133         122 :                   v_dfdr => lri_coef(ikind)%v_dfdr(iatom, :)
     134             : 
     135             :                   force(ikind)%rho_lri_elec(:, iatom) = force(ikind)%rho_lri_elec(:, iatom) &
     136        1028 :                                                         + v_dfdr(:) + v_dadr(:)
     137             : 
     138             :                END DO
     139             :             END DO
     140             :          END DO
     141             : 
     142             :       END IF
     143             : 
     144          26 :       CALL timestop(handle)
     145             : 
     146          26 :    END SUBROUTINE calculate_lri_forces
     147             : 
     148             : ! **************************************************************************************************
     149             : !> \brief calculates second term of derivative with respect to R, i.e.
     150             : !>        SUM_i integral(V * fbas_i)*davec/dR
     151             : !> \param lri_env ...
     152             : !> \param lri_density ...
     153             : !> \param pmatrix ...
     154             : !> \param cell_to_index ...
     155             : !> \param atomic_kind_set ...
     156             : !> \param use_virial ...
     157             : !> \param virial ...
     158             : ! **************************************************************************************************
     159          26 :    SUBROUTINE calculate_v_dadr_sr(lri_env, lri_density, pmatrix, cell_to_index, atomic_kind_set, &
     160             :                                   use_virial, virial)
     161             : 
     162             :       TYPE(lri_environment_type), POINTER                :: lri_env
     163             :       TYPE(lri_density_type), POINTER                    :: lri_density
     164             :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: pmatrix
     165             :       INTEGER, DIMENSION(:, :, :), POINTER               :: cell_to_index
     166             :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     167             :       LOGICAL, INTENT(IN)                                :: use_virial
     168             :       TYPE(virial_type), POINTER                         :: virial
     169             : 
     170             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'calculate_v_dadr_sr'
     171             : 
     172             :       INTEGER :: atom_a, atom_b, handle, i, iac, iatom, ic, ikind, ilist, ispin, jatom, jkind, &
     173             :          jneighbor, k, mepos, nba, nbb, nfa, nfb, nkind, nlist, nn, nspin, nthread
     174          26 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: atom_of_kind
     175             :       INTEGER, DIMENSION(3)                              :: cell
     176             :       LOGICAL                                            :: found, use_cell_mapping
     177             :       REAL(KIND=dp)                                      :: ai, dab, dfw, fw, isn, threshold
     178          26 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: vint
     179          26 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: pab
     180             :       REAL(KIND=dp), DIMENSION(3)                        :: dcharge, dlambda, force_a, force_b, &
     181             :                                                             idav, nsdssn, nsdsst, nsdt, rab
     182          26 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: st, v_dadra, v_dadrb
     183          26 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: dssn, dsst, dtvec, pbij, sdssn, sdsst, &
     184          26 :                                                             sdt
     185             :       TYPE(dbcsr_type), POINTER                          :: pmat
     186          26 :       TYPE(dint_type)                                    :: lridint
     187             :       TYPE(gto_basis_set_type), POINTER                  :: fbasa, fbasb, obasa, obasb
     188             :       TYPE(lri_force_type), POINTER                      :: lri_force
     189             :       TYPE(lri_int_type), POINTER                        :: lrii
     190          26 :       TYPE(lri_kind_type), DIMENSION(:), POINTER         :: lri_coef
     191             :       TYPE(lri_list_type), POINTER                       :: lri_rho
     192             :       TYPE(lri_rhoab_type), POINTER                      :: lrho
     193             :       TYPE(neighbor_list_iterator_p_type), &
     194          26 :          DIMENSION(:), POINTER                           :: nl_iterator
     195             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     196          26 :          POINTER                                         :: soo_list
     197             : 
     198          26 :       CALL timeset(routineN, handle)
     199             : 
     200          26 :       NULLIFY (lri_coef, lri_force, lrii, lri_rho, lrho, &
     201          26 :                nl_iterator, pbij, pmat, soo_list, v_dadra, v_dadrb)
     202          26 :       NULLIFY (dssn, dsst, dtvec, sdssn, sdsst, sdt, st)
     203             : 
     204          26 :       IF (ASSOCIATED(lri_env%soo_list)) THEN
     205          26 :          soo_list => lri_env%soo_list
     206             : 
     207          26 :          nkind = lri_env%lri_ints%nkind
     208          26 :          nspin = SIZE(pmatrix, 1)
     209             :          nthread = 1
     210          26 : !$       nthread = omp_get_max_threads()
     211          26 :          use_cell_mapping = (SIZE(pmatrix, 2) > 1)
     212             : 
     213          26 :          CALL get_atomic_kind_set(atomic_kind_set=atomic_kind_set, atom_of_kind=atom_of_kind)
     214             : 
     215          52 :          DO ispin = 1, nspin
     216             : 
     217          26 :             lri_coef => lri_density%lri_coefs(ispin)%lri_kinds
     218          26 :             lri_rho => lri_density%lri_rhos(ispin)%lri_list
     219             : 
     220          26 :             CALL neighbor_list_iterator_create(nl_iterator, soo_list, nthread=nthread)
     221             : !$OMP PARALLEL DEFAULT(NONE)&
     222             : !$OMP SHARED (nthread,nl_iterator,pmatrix,nkind,lri_env,lri_rho,lri_coef,&
     223             : !$OMP         atom_of_kind,virial,use_virial,cell_to_index,use_cell_mapping,ispin)&
     224             : !$OMP PRIVATE (mepos,ikind,jkind,iatom,jatom,nlist,ilist,jneighbor,rab,iac,lrii,lrho,&
     225             : !$OMP          lri_force,nfa,nfb,nba,nbb,nn,st,nsdsst,nsdssn,dsst,sdsst,dssn,sdssn,sdt,&
     226             : !$OMP          nsdt,dtvec,pbij,found,obasa,obasb,fbasa,fbasb,i,k,threshold,&
     227             : !$OMP          dcharge,dlambda,atom_a,atom_b,v_dadra,v_dadrb,force_a,force_b,&
     228          26 : !$OMP          lridint,pab,fw,dfw,dab,ai,vint,isn,idav,cell,ic,pmat)
     229             : 
     230             :             mepos = 0
     231             : !$          mepos = omp_get_thread_num()
     232             : 
     233             :             DO WHILE (neighbor_list_iterate(nl_iterator, mepos) == 0)
     234             :                CALL get_iterator_info(nl_iterator, mepos=mepos, ikind=ikind, jkind=jkind, &
     235             :                                       iatom=iatom, jatom=jatom, nlist=nlist, ilist=ilist, &
     236             :                                       inode=jneighbor, r=rab, cell=cell)
     237             : 
     238             :                iac = ikind + nkind*(jkind - 1)
     239             : 
     240             :                IF (.NOT. ASSOCIATED(lri_env%lri_ints%lri_atom(iac)%lri_node)) CYCLE
     241             : 
     242             :                lrii => lri_env%lri_ints%lri_atom(iac)%lri_node(ilist)%lri_int(jneighbor)
     243             :                lrho => lri_rho%lri_atom(iac)%lri_node(ilist)%lri_rhoab(jneighbor)
     244             : 
     245             :                ! only proceed if short-range exact LRI is needed
     246             :                IF (.NOT. lrii%lrisr) CYCLE
     247             :                fw = lrii%wsr
     248             :                dfw = lrii%dwsr
     249             : 
     250             :                ! zero contribution for pairs aa or bb and periodc pairs aa' or bb'
     251             :                ! calculate forces for periodic pairs aa' and bb' only for virial
     252             :                IF (.NOT. lrii%calc_force_pair) CYCLE
     253             : 
     254             :                nfa = lrii%nfa
     255             :                nfb = lrii%nfb
     256             :                nba = lrii%nba
     257             :                nbb = lrii%nbb
     258             :                nn = nfa + nfb
     259             : 
     260             :                IF (use_cell_mapping) THEN
     261             :                   ic = cell_to_index(cell(1), cell(2), cell(3))
     262             :                   CPASSERT(ic > 0)
     263             :                ELSE
     264             :                   ic = 1
     265             :                END IF
     266             :                pmat => pmatrix(ispin, ic)%matrix
     267             : 
     268             :                ! get the density matrix Pab
     269             :                ALLOCATE (pab(nba, nbb))
     270             :                NULLIFY (pbij)
     271             :                IF (iatom <= jatom) THEN
     272             :                   CALL dbcsr_get_block_p(matrix=pmat, row=iatom, col=jatom, block=pbij, found=found)
     273             :                   CPASSERT(found)
     274             :                   pab(1:nba, 1:nbb) = pbij(1:nba, 1:nbb)
     275             :                ELSE
     276             :                   CALL dbcsr_get_block_p(matrix=pmat, row=jatom, col=iatom, block=pbij, found=found)
     277             :                   CPASSERT(found)
     278             :                   pab(1:nba, 1:nbb) = TRANSPOSE(pbij(1:nbb, 1:nba))
     279             :                END IF
     280             : 
     281             :                obasa => lri_env%orb_basis(ikind)%gto_basis_set
     282             :                obasb => lri_env%orb_basis(jkind)%gto_basis_set
     283             :                fbasa => lri_env%ri_basis(ikind)%gto_basis_set
     284             :                fbasb => lri_env%ri_basis(jkind)%gto_basis_set
     285             : 
     286             :                ! Calculate derivatives of overlap integrals (a,b), (fa,fb), (a,fa,b), (a,b,fb)
     287             :                CALL allocate_int_type(lridint=lridint, nba=nba, nbb=nbb, nfa=nfa, nfb=nfb)
     288             :                CALL lri_dint2(lri_env, lrii, lridint, rab, obasa, obasb, fbasa, fbasb, &
     289             :                               iatom, jatom, ikind, jkind)
     290             : 
     291             :                NULLIFY (lri_force)
     292             :                CALL allocate_lri_force_components(lri_force, nfa, nfb)
     293             :                st => lri_force%st
     294             :                dsst => lri_force%dsst
     295             :                dssn => lri_force%dssn
     296             :                dtvec => lri_force%dtvec
     297             : 
     298             :                ! compute dtvec/dRa = SUM_ab Pab *d(a,b,x)/dRa
     299             :                DO k = 1, 3
     300             :                   threshold = 0.01_dp*lri_env%eps_o3_int/MAX(SUM(ABS(pab(1:nba, 1:nbb))), 1.0e-14_dp)
     301             :                   dcharge(k) = SUM(pab(1:nba, 1:nbb)*lridint%dsooint(1:nba, 1:nbb, k))
     302             :                   DO i = 1, nfa
     303             :                      IF (lrii%abascr(i) > threshold) THEN
     304             :                         dtvec(i, k) = SUM(pab(1:nba, 1:nbb)*lridint%dabaint(1:nba, 1:nbb, i, k))
     305             :                      END IF
     306             :                   END DO
     307             :                   DO i = 1, nfb
     308             :                      IF (lrii%abbscr(i) > threshold) THEN
     309             :                         dtvec(nfa + i, k) = SUM(pab(1:nba, 1:nbb)*lridint%dabbint(1:nba, 1:nbb, i, k))
     310             :                      END IF
     311             :                   END DO
     312             :                END DO
     313             : 
     314             :                DEALLOCATE (pab)
     315             : 
     316             :                atom_a = atom_of_kind(iatom)
     317             :                atom_b = atom_of_kind(jatom)
     318             :                ALLOCATE (vint(nn))
     319             :                vint(1:nfa) = lri_coef(ikind)%v_int(atom_a, 1:nfa)
     320             :                vint(nfa + 1:nn) = lri_coef(jkind)%v_int(atom_b, 1:nfb)
     321             : 
     322             :                isn = SUM(vint(1:nn)*lrii%sn(1:nn))
     323             :                DO k = 1, 3
     324             :                   ai = isn/lrii%nsn*dcharge(k)
     325             :                   force_a(k) = 2.0_dp*fw*ai
     326             :                   force_b(k) = -2.0_dp*fw*ai
     327             :                END DO
     328             : 
     329             :                ! derivative of S (overlap) matrix dS
     330             :                !dS: dsaa and dsbb are zero, only work with ab blocks in following
     331             :                st(1:nn) = MATMUL(lrii%sinv(1:nn, 1:nn), lrho%tvec(1:nn))
     332             :                DO k = 1, 3
     333             :                   dsst(1:nfa, k) = MATMUL(lridint%dsabint(1:nfa, 1:nfb, k), st(nfa + 1:nn))
     334             :                   dsst(nfa + 1:nn, k) = MATMUL(st(1:nfa), lridint%dsabint(1:nfa, 1:nfb, k))
     335             :                   nsdsst(k) = SUM(lrii%sn(1:nn)*dsst(1:nn, k))
     336             :                   dssn(1:nfa, k) = MATMUL(lridint%dsabint(1:nfa, 1:nfb, k), lrii%sn(nfa + 1:nn))
     337             :                   dssn(nfa + 1:nn, k) = MATMUL(lrii%sn(1:nfa), lridint%dsabint(1:nfa, 1:nfb, k))
     338             :                   nsdssn(k) = SUM(lrii%sn(1:nn)*dssn(1:nn, k))
     339             :                   nsdt(k) = SUM(dtvec(1:nn, k)*lrii%sn(1:nn))
     340             :                END DO
     341             :                ! dlambda/dRa
     342             :                DO k = 1, 3
     343             :                   dlambda(k) = (nsdsst(k) - nsdt(k))/lrii%nsn &
     344             :                                + (lrho%charge - lrho%nst)*nsdssn(k)/(lrii%nsn*lrii%nsn)
     345             :                END DO
     346             :                DO k = 1, 3
     347             :                   force_a(k) = force_a(k) + 2.0_dp*fw*isn*dlambda(k)
     348             :                   force_b(k) = force_b(k) - 2.0_dp*fw*isn*dlambda(k)
     349             :                END DO
     350             :                DO k = 1, 3
     351             :                   st(1:nn) = dtvec(1:nn, k) - dsst(1:nn, k) - lrho%lambda*dssn(1:nn, k)
     352             :                   idav(k) = SUM(vint(1:nn)*MATMUL(lrii%sinv(1:nn, 1:nn), st(1:nn)))
     353             :                END DO
     354             : 
     355             :                ! deallocate derivative integrals
     356             :                CALL deallocate_int_type(lridint=lridint)
     357             : 
     358             :                ! sum over atom pairs
     359             :                DO k = 1, 3
     360             :                   ai = 2.0_dp*fw*idav(k)
     361             :                   force_a(k) = force_a(k) + ai
     362             :                   force_b(k) = force_b(k) - ai
     363             :                END DO
     364             :                IF (ABS(dfw) > 0.0_dp) THEN
     365             :                   dab = SQRT(SUM(rab(1:3)*rab(1:3)))
     366             :                   ai = 2.0_dp*dfw/dab*SUM(lrho%avec(1:nn)*vint(1:nn))
     367             :                   DO k = 1, 3
     368             :                      force_a(k) = force_a(k) - ai*rab(k)
     369             :                      force_b(k) = force_b(k) + ai*rab(k)
     370             :                   END DO
     371             :                END IF
     372             : 
     373             :                DEALLOCATE (vint)
     374             : 
     375             :                v_dadra => lri_coef(ikind)%v_dadr(atom_a, :)
     376             :                v_dadrb => lri_coef(jkind)%v_dadr(atom_b, :)
     377             : !$OMP CRITICAL(addforces)
     378             :                DO k = 1, 3
     379             :                   v_dadra(k) = v_dadra(k) + force_a(k)
     380             :                   v_dadrb(k) = v_dadrb(k) + force_b(k)
     381             :                END DO
     382             : !$OMP END CRITICAL(addforces)
     383             : 
     384             :                ! contribution to virial
     385             :                IF (use_virial) THEN
     386             :                   !periodic self-pairs aa' contribute only with factor 0.5
     387             : !$OMP CRITICAL(addvirial)
     388             :                   IF (iatom == jatom) THEN
     389             :                      CALL virial_pair_force(virial%pv_lrigpw, 0.5_dp, force_a, rab)
     390             :                      CALL virial_pair_force(virial%pv_virial, 0.5_dp, force_a, rab)
     391             :                   ELSE
     392             :                      CALL virial_pair_force(virial%pv_lrigpw, 1.0_dp, force_a, rab)
     393             :                      CALL virial_pair_force(virial%pv_virial, 1.0_dp, force_a, rab)
     394             :                   END IF
     395             : !$OMP END CRITICAL(addvirial)
     396             :                END IF
     397             : 
     398             :                CALL deallocate_lri_force_components(lri_force)
     399             : 
     400             :             END DO
     401             : !$OMP END PARALLEL
     402             : 
     403          52 :             CALL neighbor_list_iterator_release(nl_iterator)
     404             : 
     405             :          END DO
     406             : 
     407             :       END IF
     408             : 
     409          26 :       CALL timestop(handle)
     410             : 
     411          52 :    END SUBROUTINE calculate_v_dadr_sr
     412             : 
     413             : ! **************************************************************************************************
     414             : !> \brief calculates second term of derivative with respect to R, i.e.
     415             : !>        SUM_i integral(V * fbas_i)*davec/dR for distant pair approximation
     416             : !> \param lri_env ...
     417             : !> \param lri_density ...
     418             : !> \param pmatrix ...
     419             : !> \param cell_to_index ...
     420             : !> \param atomic_kind_set ...
     421             : !> \param use_virial ...
     422             : !> \param virial ...
     423             : ! **************************************************************************************************
     424           8 :    SUBROUTINE calculate_v_dadr_ff(lri_env, lri_density, pmatrix, cell_to_index, atomic_kind_set, &
     425             :                                   use_virial, virial)
     426             : 
     427             :       TYPE(lri_environment_type), POINTER                :: lri_env
     428             :       TYPE(lri_density_type), POINTER                    :: lri_density
     429             :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: pmatrix
     430             :       INTEGER, DIMENSION(:, :, :), POINTER               :: cell_to_index
     431             :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     432             :       LOGICAL, INTENT(IN)                                :: use_virial
     433             :       TYPE(virial_type), POINTER                         :: virial
     434             : 
     435             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'calculate_v_dadr_ff'
     436             : 
     437             :       INTEGER :: atom_a, atom_b, handle, i, iac, iatom, ic, ikind, ilist, ispin, jatom, jkind, &
     438             :          jneighbor, k, mepos, nba, nbb, nfa, nfb, nkind, nlist, nn, nspin, nthread
     439           8 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: atom_of_kind
     440             :       INTEGER, DIMENSION(3)                              :: cell
     441             :       LOGICAL                                            :: found, use_cell_mapping
     442             :       REAL(KIND=dp)                                      :: ai, dab, dfw, fw, isna, isnb, threshold
     443           8 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: pab, wab, wbb
     444             :       REAL(KIND=dp), DIMENSION(3)                        :: dchargea, dchargeb, force_a, force_b, &
     445             :                                                             idava, idavb, rab
     446           8 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: sta, stb, v_dadra, v_dadrb, vinta, vintb
     447           8 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: dtveca, dtvecb, pbij
     448             :       TYPE(dbcsr_type), POINTER                          :: pmat
     449           8 :       TYPE(dint_type)                                    :: lridint
     450             :       TYPE(gto_basis_set_type), POINTER                  :: fbasa, fbasb, obasa, obasb
     451             :       TYPE(lri_force_type), POINTER                      :: lri_force_a, lri_force_b
     452             :       TYPE(lri_int_type), POINTER                        :: lrii
     453           8 :       TYPE(lri_kind_type), DIMENSION(:), POINTER         :: lri_coef
     454             :       TYPE(lri_list_type), POINTER                       :: lri_rho
     455             :       TYPE(lri_rhoab_type), POINTER                      :: lrho
     456             :       TYPE(neighbor_list_iterator_p_type), &
     457           8 :          DIMENSION(:), POINTER                           :: nl_iterator
     458             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     459           8 :          POINTER                                         :: soo_list
     460             : 
     461           8 :       CALL timeset(routineN, handle)
     462             : 
     463           8 :       NULLIFY (lri_coef, lrii, lri_rho, lrho, &
     464           8 :                nl_iterator, pbij, pmat, soo_list, v_dadra, v_dadrb)
     465             : 
     466           8 :       IF (ASSOCIATED(lri_env%soo_list)) THEN
     467           8 :          soo_list => lri_env%soo_list
     468             : 
     469           8 :          nkind = lri_env%lri_ints%nkind
     470           8 :          nspin = SIZE(pmatrix, 1)
     471             :          nthread = 1
     472           8 : !$       nthread = omp_get_max_threads()
     473           8 :          use_cell_mapping = (SIZE(pmatrix, 2) > 1)
     474             : 
     475           8 :          CALL get_atomic_kind_set(atomic_kind_set=atomic_kind_set, atom_of_kind=atom_of_kind)
     476             : 
     477          16 :          DO ispin = 1, nspin
     478             : 
     479           8 :             lri_coef => lri_density%lri_coefs(ispin)%lri_kinds
     480           8 :             lri_rho => lri_density%lri_rhos(ispin)%lri_list
     481             : 
     482           8 :             CALL neighbor_list_iterator_create(nl_iterator, soo_list, nthread=nthread)
     483             : !$OMP PARALLEL DEFAULT(NONE)&
     484             : !$OMP SHARED (nthread,nl_iterator,pmatrix,nkind,lri_env,lri_rho,lri_coef,&
     485             : !$OMP         atom_of_kind,virial,use_virial,cell_to_index,use_cell_mapping,ispin)&
     486             : !$OMP PRIVATE (mepos,ikind,jkind,iatom,jatom,nlist,ilist,jneighbor,rab,iac,lrii,lrho,&
     487             : !$OMP          lri_force_a,lri_force_b,nfa,nfb,nba,nbb,nn,sta,stb,&
     488             : !$OMP          dtveca,dtvecb,pbij,found,obasa,obasb,fbasa,fbasb,i,k,threshold,&
     489             : !$OMP          dchargea,dchargeb,atom_a,atom_b,v_dadra,v_dadrb,force_a,force_b,&
     490           8 : !$OMP          lridint,pab,wab,wbb,fw,dfw,dab,ai,vinta,vintb,isna,isnb,idava,idavb,cell,ic,pmat)
     491             : 
     492             :             mepos = 0
     493             : !$          mepos = omp_get_thread_num()
     494             : 
     495             :             DO WHILE (neighbor_list_iterate(nl_iterator, mepos) == 0)
     496             :                CALL get_iterator_info(nl_iterator, mepos=mepos, ikind=ikind, jkind=jkind, &
     497             :                                       iatom=iatom, jatom=jatom, nlist=nlist, ilist=ilist, &
     498             :                                       inode=jneighbor, r=rab, cell=cell)
     499             : 
     500             :                iac = ikind + nkind*(jkind - 1)
     501             : 
     502             :                IF (.NOT. ASSOCIATED(lri_env%lri_ints%lri_atom(iac)%lri_node)) CYCLE
     503             : 
     504             :                lrii => lri_env%lri_ints%lri_atom(iac)%lri_node(ilist)%lri_int(jneighbor)
     505             :                lrho => lri_rho%lri_atom(iac)%lri_node(ilist)%lri_rhoab(jneighbor)
     506             : 
     507             :                ! only proceed if short-range exact LRI is needed
     508             :                IF (.NOT. lrii%lriff) CYCLE
     509             :                fw = lrii%wff
     510             :                dfw = lrii%dwff
     511             : 
     512             :                ! zero contribution for pairs aa or bb and periodc pairs aa' or bb'
     513             :                ! calculate forces for periodic pairs aa' and bb' only for virial
     514             :                IF (.NOT. lrii%calc_force_pair) CYCLE
     515             : 
     516             :                nfa = lrii%nfa
     517             :                nfb = lrii%nfb
     518             :                nba = lrii%nba
     519             :                nbb = lrii%nbb
     520             :                nn = nfa + nfb
     521             : 
     522             :                IF (use_cell_mapping) THEN
     523             :                   ic = cell_to_index(cell(1), cell(2), cell(3))
     524             :                   CPASSERT(ic > 0)
     525             :                ELSE
     526             :                   ic = 1
     527             :                END IF
     528             :                pmat => pmatrix(ispin, ic)%matrix
     529             : 
     530             :                ! get the density matrix Pab
     531             :                ALLOCATE (pab(nba, nbb))
     532             :                NULLIFY (pbij)
     533             :                IF (iatom <= jatom) THEN
     534             :                   CALL dbcsr_get_block_p(matrix=pmat, row=iatom, col=jatom, block=pbij, found=found)
     535             :                   CPASSERT(found)
     536             :                   pab(1:nba, 1:nbb) = pbij(1:nba, 1:nbb)
     537             :                ELSE
     538             :                   CALL dbcsr_get_block_p(matrix=pmat, row=jatom, col=iatom, block=pbij, found=found)
     539             :                   CPASSERT(found)
     540             :                   pab(1:nba, 1:nbb) = TRANSPOSE(pbij(1:nbb, 1:nba))
     541             :                END IF
     542             : 
     543             :                ALLOCATE (wab(nba, nbb), wbb(nba, nbb))
     544             :                wab(1:nba, 1:nbb) = lri_env%wmat(ikind, jkind)%mat(1:nba, 1:nbb)
     545             :                wbb(1:nba, 1:nbb) = 1.0_dp - lri_env%wmat(ikind, jkind)%mat(1:nba, 1:nbb)
     546             : 
     547             :                obasa => lri_env%orb_basis(ikind)%gto_basis_set
     548             :                obasb => lri_env%orb_basis(jkind)%gto_basis_set
     549             :                fbasa => lri_env%ri_basis(ikind)%gto_basis_set
     550             :                fbasb => lri_env%ri_basis(jkind)%gto_basis_set
     551             : 
     552             :                ! Calculate derivatives of overlap integrals (a,b), (fa,fb), (a,fa,b), (a,b,fb)
     553             :                CALL allocate_int_type(lridint=lridint, nba=nba, nbb=nbb, nfa=nfa, nfb=nfb, &
     554             :                                       skip_dsab=.TRUE.)
     555             :                CALL lri_dint2(lri_env, lrii, lridint, rab, obasa, obasb, fbasa, fbasb, &
     556             :                               iatom, jatom, ikind, jkind)
     557             : 
     558             :                NULLIFY (lri_force_a, lri_force_b)
     559             :                CALL allocate_lri_force_components(lri_force_a, nfa, 0)
     560             :                CALL allocate_lri_force_components(lri_force_b, 0, nfb)
     561             :                dtveca => lri_force_a%dtvec
     562             :                dtvecb => lri_force_b%dtvec
     563             :                sta => lri_force_a%st
     564             :                stb => lri_force_b%st
     565             : 
     566             :                ! compute dtvec/dRa = SUM_ab Pab *d(a,b,x)/dRa
     567             :                threshold = 0.01_dp*lri_env%eps_o3_int/MAX(SUM(ABS(pab(1:nba, 1:nbb))), 1.0e-14_dp)
     568             :                DO k = 1, 3
     569             :                   dchargea(k) = SUM(wab(1:nba, 1:nbb)*pab(1:nba, 1:nbb)*lridint%dsooint(1:nba, 1:nbb, k))
     570             :                   DO i = 1, nfa
     571             :                      IF (lrii%abascr(i) > threshold) THEN
     572             :                         dtveca(i, k) = SUM(wab(1:nba, 1:nbb)*pab(1:nba, 1:nbb)*lridint%dabaint(1:nba, 1:nbb, i, k))
     573             :                      END IF
     574             :                   END DO
     575             :                   dchargeb(k) = SUM(wbb(1:nba, 1:nbb)*pab(1:nba, 1:nbb)*lridint%dsooint(1:nba, 1:nbb, k))
     576             :                   DO i = 1, nfb
     577             :                      IF (lrii%abbscr(i) > threshold) THEN
     578             :                         dtvecb(i, k) = SUM(wbb(1:nba, 1:nbb)*pab(1:nba, 1:nbb)*lridint%dabbint(1:nba, 1:nbb, i, k))
     579             :                      END IF
     580             :                   END DO
     581             :                END DO
     582             : 
     583             :                DEALLOCATE (pab, wab, wbb)
     584             : 
     585             :                atom_a = atom_of_kind(iatom)
     586             :                atom_b = atom_of_kind(jatom)
     587             :                vinta => lri_coef(ikind)%v_int(atom_a, :)
     588             :                vintb => lri_coef(jkind)%v_int(atom_b, :)
     589             : 
     590             :                isna = SUM(vinta(1:nfa)*lrii%sna(1:nfa))
     591             :                isnb = SUM(vintb(1:nfb)*lrii%snb(1:nfb))
     592             :                DO k = 1, 3
     593             :                   ai = isna/lrii%nsna*dchargea(k) + isnb/lrii%nsnb*dchargeb(k)
     594             :                   force_a(k) = 2.0_dp*fw*ai
     595             :                   force_b(k) = -2.0_dp*fw*ai
     596             :                END DO
     597             : 
     598             :                DO k = 1, 3
     599             :                   sta(1:nfa) = MATMUL(lrii%asinv(1:nfa, 1:nfa), dtveca(1:nfa, k))
     600             :                   idava(k) = SUM(vinta(1:nfa)*sta(1:nfa)) - isna/lrii%nsna*SUM(lrii%na(1:nfa)*sta(1:nfa))
     601             :                   stb(1:nfb) = MATMUL(lrii%bsinv(1:nfb, 1:nfb), dtvecb(1:nfb, k))
     602             :                   idavb(k) = SUM(vintb(1:nfb)*stb(1:nfb)) - isnb/lrii%nsnb*SUM(lrii%nb(1:nfb)*stb(1:nfb))
     603             :                END DO
     604             : 
     605             :                ! deallocate derivative integrals
     606             :                CALL deallocate_int_type(lridint=lridint)
     607             : 
     608             :                ! sum over atom pairs
     609             :                DO k = 1, 3
     610             :                   ai = 2.0_dp*fw*(idava(k) + idavb(k))
     611             :                   force_a(k) = force_a(k) + ai
     612             :                   force_b(k) = force_b(k) - ai
     613             :                END DO
     614             :                IF (ABS(dfw) > 0.0_dp) THEN
     615             :                   dab = SQRT(SUM(rab(1:3)*rab(1:3)))
     616             :                   ai = 2.0_dp*dfw/dab* &
     617             :                        (SUM(lrho%aveca(1:nfa)*vinta(1:nfa)) + &
     618             :                         SUM(lrho%avecb(1:nfb)*vintb(1:nfb)))
     619             :                   DO k = 1, 3
     620             :                      force_a(k) = force_a(k) - ai*rab(k)
     621             :                      force_b(k) = force_b(k) + ai*rab(k)
     622             :                   END DO
     623             :                END IF
     624             :                v_dadra => lri_coef(ikind)%v_dadr(atom_a, :)
     625             :                v_dadrb => lri_coef(jkind)%v_dadr(atom_b, :)
     626             : 
     627             : !$OMP CRITICAL(addforces)
     628             :                DO k = 1, 3
     629             :                   v_dadra(k) = v_dadra(k) + force_a(k)
     630             :                   v_dadrb(k) = v_dadrb(k) + force_b(k)
     631             :                END DO
     632             : !$OMP END CRITICAL(addforces)
     633             : 
     634             :                ! contribution to virial
     635             :                IF (use_virial) THEN
     636             :                   !periodic self-pairs aa' contribute only with factor 0.5
     637             : !$OMP CRITICAL(addvirial)
     638             :                   IF (iatom == jatom) THEN
     639             :                      CALL virial_pair_force(virial%pv_lrigpw, 0.5_dp, force_a, rab)
     640             :                      CALL virial_pair_force(virial%pv_virial, 0.5_dp, force_a, rab)
     641             :                   ELSE
     642             :                      CALL virial_pair_force(virial%pv_lrigpw, 1.0_dp, force_a, rab)
     643             :                      CALL virial_pair_force(virial%pv_virial, 1.0_dp, force_a, rab)
     644             :                   END IF
     645             : !$OMP END CRITICAL(addvirial)
     646             :                END IF
     647             : 
     648             :                CALL deallocate_lri_force_components(lri_force_a)
     649             :                CALL deallocate_lri_force_components(lri_force_b)
     650             : 
     651             :             END DO
     652             : !$OMP END PARALLEL
     653             : 
     654          16 :             CALL neighbor_list_iterator_release(nl_iterator)
     655             : 
     656             :          END DO
     657             : 
     658             :       END IF
     659             : 
     660           8 :       CALL timestop(handle)
     661             : 
     662          16 :    END SUBROUTINE calculate_v_dadr_ff
     663             : 
     664             : ! **************************************************************************************************
     665             : !> \brief calculates the ri forces
     666             : !> \param lri_env ...
     667             : !> \param lri_density ...
     668             : !> \param qs_env ...
     669             : !> \param pmatrix density matrix
     670             : !> \param atomic_kind_set ...
     671             : ! **************************************************************************************************
     672           0 :    SUBROUTINE calculate_ri_forces(lri_env, lri_density, qs_env, pmatrix, atomic_kind_set)
     673             : 
     674             :       TYPE(lri_environment_type), POINTER                :: lri_env
     675             :       TYPE(lri_density_type), POINTER                    :: lri_density
     676             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     677             :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: pmatrix
     678             :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     679             : 
     680             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'calculate_ri_forces'
     681             : 
     682             :       INTEGER                                            :: handle, iatom, ikind, ispin, natom, &
     683             :                                                             nkind, nspin
     684             :       LOGICAL                                            :: use_virial
     685           0 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: v_dadr, v_dfdr
     686             :       TYPE(atomic_kind_type), POINTER                    :: atomic_kind
     687           0 :       TYPE(lri_kind_type), DIMENSION(:), POINTER         :: lri_coef
     688           0 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     689             :       TYPE(virial_type), POINTER                         :: virial
     690             : 
     691           0 :       CALL timeset(routineN, handle)
     692           0 :       NULLIFY (atomic_kind, force, lri_coef, v_dadr, v_dfdr, virial)
     693             : 
     694           0 :       nkind = SIZE(atomic_kind_set)
     695           0 :       nspin = SIZE(pmatrix)
     696           0 :       CALL get_atomic_kind_set(atomic_kind_set=atomic_kind_set, natom=natom)
     697           0 :       CALL get_qs_env(qs_env=qs_env, force=force, virial=virial)
     698           0 :       use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
     699             : 
     700             :       !calculate SUM_i integral(V*fbas_i)*davec/dR
     701             :       CALL calculate_v_dadr_ri(lri_env, lri_density, pmatrix, atomic_kind_set, &
     702           0 :                                use_virial, virial)
     703             : 
     704           0 :       DO ispin = 1, nspin
     705             : 
     706           0 :          lri_coef => lri_density%lri_coefs(ispin)%lri_kinds
     707             : 
     708           0 :          DO ikind = 1, nkind
     709           0 :             atomic_kind => atomic_kind_set(ikind)
     710           0 :             CALL get_atomic_kind(atomic_kind=atomic_kind, natom=natom)
     711           0 :             DO iatom = 1, natom
     712           0 :                v_dadr => lri_coef(ikind)%v_dadr(iatom, :)
     713           0 :                v_dfdr => lri_coef(ikind)%v_dfdr(iatom, :)
     714             : 
     715             :                force(ikind)%rho_lri_elec(:, iatom) = force(ikind)%rho_lri_elec(:, iatom) &
     716           0 :                                                      + v_dfdr(:) + v_dadr(:)
     717             : 
     718             :             END DO
     719             :          END DO
     720             :       END DO
     721             : 
     722           0 :       CALL timestop(handle)
     723             : 
     724           0 :    END SUBROUTINE calculate_ri_forces
     725             : 
     726             : ! **************************************************************************************************
     727             : !> \brief calculates second term of derivative with respect to R, i.e.
     728             : !>        SUM_i integral(V * fbas_i)*davec/dR
     729             : !>        However contributions from charge constraint and derivative of overlap matrix have been
     730             : !>        calculated in calculate_ri_integrals
     731             : !> \param lri_env ...
     732             : !> \param lri_density ...
     733             : !> \param pmatrix ...
     734             : !> \param atomic_kind_set ...
     735             : !> \param use_virial ...
     736             : !> \param virial ...
     737             : ! **************************************************************************************************
     738           0 :    SUBROUTINE calculate_v_dadr_ri(lri_env, lri_density, pmatrix, atomic_kind_set, &
     739             :                                   use_virial, virial)
     740             : 
     741             :       TYPE(lri_environment_type), POINTER                :: lri_env
     742             :       TYPE(lri_density_type), POINTER                    :: lri_density
     743             :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: pmatrix
     744             :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     745             :       LOGICAL, INTENT(IN)                                :: use_virial
     746             :       TYPE(virial_type), POINTER                         :: virial
     747             : 
     748             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'calculate_v_dadr_ri'
     749             : 
     750             :       INTEGER                                            :: atom_a, atom_b, atom_c, handle, i, i1, &
     751             :                                                             i2, iatom, ikind, ispin, jatom, jkind, &
     752             :                                                             katom, kkind, m, mepos, nkind, nspin, &
     753             :                                                             nthread
     754           0 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: atom_of_kind
     755           0 :       INTEGER, DIMENSION(:, :), POINTER                  :: bas_ptr
     756             :       REAL(KIND=dp)                                      :: fscal
     757             :       REAL(KIND=dp), DIMENSION(3)                        :: force_a, force_b, force_c, rij, rik, rjk
     758           0 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: v_dadra, v_dadrb, v_dadrc
     759           0 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: fi, fj, fk, fo
     760           0 :       TYPE(lri_kind_type), DIMENSION(:), POINTER         :: lri_coef
     761             :       TYPE(o3c_iterator_type)                            :: o3c_iterator
     762             : 
     763           0 :       CALL timeset(routineN, handle)
     764             : 
     765           0 :       nspin = SIZE(pmatrix)
     766           0 :       nkind = SIZE(atomic_kind_set)
     767           0 :       DO ispin = 1, nspin
     768           0 :          lri_coef => lri_density%lri_coefs(ispin)%lri_kinds
     769           0 :          DO ikind = 1, nkind
     770           0 :             lri_coef(ikind)%v_dadr(:, :) = 0.0_dp
     771             :          END DO
     772             :       END DO
     773             : 
     774           0 :       bas_ptr => lri_env%ri_fit%bas_ptr
     775             : 
     776           0 :       CALL get_atomic_kind_set(atomic_kind_set=atomic_kind_set, atom_of_kind=atom_of_kind)
     777             : 
     778             :       ! contribution from 3-center overlap integral derivatives
     779           0 :       fo => lri_env%ri_fit%fout
     780             :       nthread = 1
     781           0 : !$    nthread = omp_get_max_threads()
     782             : 
     783           0 :       CALL o3c_iterator_create(lri_env%o3c, o3c_iterator, nthread=nthread)
     784             : 
     785             : !$OMP PARALLEL DEFAULT(NONE)&
     786             : !$OMP SHARED (nthread,o3c_iterator,bas_ptr,fo,nspin,atom_of_kind,lri_coef,virial,use_virial)&
     787             : !$OMP PRIVATE (mepos,ikind,jkind,kkind,iatom,jatom,katom,fi,fj,fk,fscal,&
     788             : !$OMP          force_a,force_b,force_c,i1,i2,m,i,ispin,atom_a,atom_b,atom_c,&
     789           0 : !$OMP          v_dadra,v_dadrb,v_dadrc,rij,rik,rjk)
     790             : 
     791             :       mepos = 0
     792             : !$    mepos = omp_get_thread_num()
     793             : 
     794             :       DO WHILE (o3c_iterate(o3c_iterator, mepos=mepos) == 0)
     795             :          CALL get_o3c_iterator_info(o3c_iterator, mepos=mepos, &
     796             :                                     ikind=ikind, jkind=jkind, kkind=kkind, &
     797             :                                     iatom=iatom, jatom=jatom, katom=katom, &
     798             :                                     rij=rij, rik=rik, force_i=fi, force_j=fj, force_k=fk)
     799             :          i1 = bas_ptr(1, katom)
     800             :          i2 = bas_ptr(2, katom)
     801             :          m = i2 - i1 + 1
     802             :          DO i = 1, 3
     803             :             force_a(i) = 0.0_dp
     804             :             force_b(i) = 0.0_dp
     805             :             force_c(i) = 0.0_dp
     806             :             DO ispin = 1, nspin
     807             :                force_a(i) = force_a(i) + SUM(fi(1:m, i)*fo(i1:i2, ispin))
     808             :                force_b(i) = force_b(i) + SUM(fj(1:m, i)*fo(i1:i2, ispin))
     809             :                force_c(i) = force_c(i) + SUM(fk(1:m, i)*fo(i1:i2, ispin))
     810             :             END DO
     811             :          END DO
     812             :          atom_a = atom_of_kind(iatom)
     813             :          atom_b = atom_of_kind(jatom)
     814             :          atom_c = atom_of_kind(katom)
     815             :          !
     816             :          v_dadra => lri_coef(ikind)%v_dadr(atom_a, :)
     817             :          v_dadrb => lri_coef(jkind)%v_dadr(atom_b, :)
     818             :          v_dadrc => lri_coef(kkind)%v_dadr(atom_c, :)
     819             :          !
     820             : !$OMP CRITICAL(addforce)
     821             :          v_dadra(1:3) = v_dadra(1:3) + force_a(1:3)
     822             :          v_dadrb(1:3) = v_dadrb(1:3) + force_b(1:3)
     823             :          v_dadrc(1:3) = v_dadrc(1:3) + force_c(1:3)
     824             :          !
     825             :          IF (use_virial) THEN
     826             :             rjk(1:3) = rik(1:3) - rij(1:3)
     827             :             ! to be debugged
     828             :             fscal = 1.0_dp
     829             :             IF (iatom == jatom) fscal = 1.0_dp
     830             :             CALL virial_pair_force(virial%pv_lrigpw, 1.0_dp, force_a, rik)
     831             :             CALL virial_pair_force(virial%pv_lrigpw, 1.0_dp, force_b, rjk)
     832             :             CALL virial_pair_force(virial%pv_virial, 1.0_dp, force_a, rik)
     833             :             CALL virial_pair_force(virial%pv_virial, 1.0_dp, force_b, rjk)
     834             :          END IF
     835             : !$OMP END CRITICAL(addforce)
     836             :       END DO
     837             : !$OMP END PARALLEL
     838           0 :       CALL o3c_iterator_release(o3c_iterator)
     839             : 
     840           0 :       CALL timestop(handle)
     841             : 
     842           0 :    END SUBROUTINE calculate_v_dadr_ri
     843             : 
     844             : END MODULE lri_forces

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