LCOV - code coverage report
Current view: top level - src - qmmm_gpw_forces.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:aeba166) Lines: 273 465 58.7 %
Date: 2024-05-04 06:51:03 Functions: 5 9 55.6 %

          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 Routines to compute energy and forces in a QM/MM calculation
      10             : !> \par History
      11             : !>      05.2004 created [tlaino]
      12             : !> \author Teodoro Laino
      13             : ! **************************************************************************************************
      14             : MODULE qmmm_gpw_forces
      15             :    USE cell_types,                      ONLY: cell_type,&
      16             :                                               pbc
      17             :    USE cp_control_types,                ONLY: dft_control_type
      18             :    USE cp_log_handling,                 ONLY: cp_get_default_logger,&
      19             :                                               cp_logger_type
      20             :    USE cp_output_handling,              ONLY: cp_print_key_finished_output,&
      21             :                                               cp_print_key_unit_nr
      22             :    USE cp_spline_utils,                 ONLY: pw_restrict_s3,&
      23             :                                               spline3_nopbc_interp,&
      24             :                                               spline3_pbc_interp
      25             :    USE cube_utils,                      ONLY: cube_info_type
      26             :    USE input_constants,                 ONLY: do_par_atom,&
      27             :                                               do_qmmm_coulomb,&
      28             :                                               do_qmmm_gauss,&
      29             :                                               do_qmmm_none,&
      30             :                                               do_qmmm_pcharge,&
      31             :                                               do_qmmm_swave
      32             :    USE input_section_types,             ONLY: section_vals_get_subs_vals,&
      33             :                                               section_vals_type,&
      34             :                                               section_vals_val_get
      35             :    USE kinds,                           ONLY: dp
      36             :    USE message_passing,                 ONLY: mp_comm_type,&
      37             :                                               mp_para_env_type,&
      38             :                                               mp_request_type
      39             :    USE mm_collocate_potential,          ONLY: collocate_gf_rspace_NoPBC,&
      40             :                                               integrate_gf_rspace_NoPBC
      41             :    USE particle_types,                  ONLY: particle_type
      42             :    USE pw_env_types,                    ONLY: pw_env_get,&
      43             :                                               pw_env_type
      44             :    USE pw_methods,                      ONLY: pw_axpy,&
      45             :                                               pw_integral_ab,&
      46             :                                               pw_transfer,&
      47             :                                               pw_zero
      48             :    USE pw_pool_types,                   ONLY: pw_pool_p_type,&
      49             :                                               pw_pool_type,&
      50             :                                               pw_pools_create_pws,&
      51             :                                               pw_pools_give_back_pws
      52             :    USE pw_types,                        ONLY: pw_c1d_gs_type,&
      53             :                                               pw_r3d_rs_type
      54             :    USE qmmm_gaussian_types,             ONLY: qmmm_gaussian_p_type,&
      55             :                                               qmmm_gaussian_type
      56             :    USE qmmm_gpw_energy,                 ONLY: qmmm_elec_with_gaussian,&
      57             :                                               qmmm_elec_with_gaussian_LG,&
      58             :                                               qmmm_elec_with_gaussian_LR
      59             :    USE qmmm_se_forces,                  ONLY: deriv_se_qmmm_matrix
      60             :    USE qmmm_tb_methods,                 ONLY: deriv_tb_qmmm_matrix,&
      61             :                                               deriv_tb_qmmm_matrix_pc
      62             :    USE qmmm_types_low,                  ONLY: qmmm_env_qm_type,&
      63             :                                               qmmm_per_pot_p_type,&
      64             :                                               qmmm_per_pot_type,&
      65             :                                               qmmm_pot_p_type,&
      66             :                                               qmmm_pot_type
      67             :    USE qmmm_util,                       ONLY: spherical_cutoff_factor
      68             :    USE qs_energy_types,                 ONLY: qs_energy_type
      69             :    USE qs_environment_types,            ONLY: get_qs_env,&
      70             :                                               qs_environment_type
      71             :    USE qs_ks_qmmm_types,                ONLY: qs_ks_qmmm_env_type
      72             :    USE qs_rho_types,                    ONLY: qs_rho_get,&
      73             :                                               qs_rho_type
      74             : #include "./base/base_uses.f90"
      75             : 
      76             :    IMPLICIT NONE
      77             : 
      78             :    PRIVATE
      79             :    LOGICAL, PARAMETER, PRIVATE    :: debug_this_module = .FALSE.
      80             :    REAL(KIND=dp), PARAMETER, PRIVATE    :: Dx = 0.01_dp     ! Debug Variables
      81             :    REAL(KIND=dp), PARAMETER, PRIVATE    :: MaxErr = 10.0_dp ! Debug Variables
      82             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'qmmm_gpw_forces'
      83             :    PUBLIC :: qmmm_forces
      84             : 
      85             : CONTAINS
      86             : 
      87             : ! **************************************************************************************************
      88             : !> \brief General driver to Compute the contribution
      89             : !>      to the forces due to the QM/MM potential
      90             : !> \param qs_env ...
      91             : !> \param qmmm_env ...
      92             : !> \param mm_particles ...
      93             : !> \param calc_force ...
      94             : !> \param mm_cell ...
      95             : !> \par History
      96             : !>      06.2004 created [tlaino]
      97             : !> \author Teodoro Laino
      98             : ! **************************************************************************************************
      99        3802 :    SUBROUTINE qmmm_forces(qs_env, qmmm_env, mm_particles, calc_force, mm_cell)
     100             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     101             :       TYPE(qmmm_env_qm_type), POINTER                    :: qmmm_env
     102             :       TYPE(particle_type), DIMENSION(:), POINTER         :: mm_particles
     103             :       LOGICAL, INTENT(in), OPTIONAL                      :: calc_force
     104             :       TYPE(cell_type), POINTER                           :: mm_cell
     105             : 
     106             :       CHARACTER(len=*), PARAMETER                        :: routineN = 'qmmm_forces'
     107             : 
     108             :       INTEGER                                            :: handle, iatom, image_IndMM, Imm, IndMM, &
     109             :                                                             ispin, iw
     110             :       LOGICAL                                            :: gapw, need_f, periodic
     111        3802 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: Forces, Forces_added_charges, &
     112        3802 :                                                             Forces_added_shells
     113             :       TYPE(cp_logger_type), POINTER                      :: logger
     114             :       TYPE(dft_control_type), POINTER                    :: dft_control
     115             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     116             :       TYPE(pw_c1d_gs_type), POINTER                      :: rho0_s_gs, rho_core
     117             :       TYPE(pw_env_type), POINTER                         :: pw_env
     118        3802 :       TYPE(pw_pool_p_type), DIMENSION(:), POINTER        :: pw_pools
     119             :       TYPE(pw_pool_type), POINTER                        :: auxbas_pool
     120        3802 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r
     121             :       TYPE(pw_r3d_rs_type), POINTER                      :: rho_tot_r, rho_tot_r2
     122             :       TYPE(qs_energy_type), POINTER                      :: energy
     123             :       TYPE(qs_ks_qmmm_env_type), POINTER                 :: ks_qmmm_env_loc
     124             :       TYPE(qs_rho_type), POINTER                         :: rho
     125             :       TYPE(section_vals_type), POINTER                   :: input_section, interp_section, &
     126             :                                                             print_section
     127             : 
     128        3802 :       CALL timeset(routineN, handle)
     129        3802 :       need_f = .TRUE.
     130        3802 :       periodic = qmmm_env%periodic
     131        3802 :       IF (PRESENT(calc_force)) need_f = calc_force
     132        3802 :       NULLIFY (dft_control, ks_qmmm_env_loc, rho, pw_env, rho_tot_r, energy, Forces, &
     133        3802 :                Forces_added_charges, input_section, rho0_s_gs, rho_r)
     134             :       CALL get_qs_env(qs_env=qs_env, &
     135             :                       rho=rho, &
     136             :                       rho_core=rho_core, &
     137             :                       pw_env=pw_env, &
     138             :                       energy=energy, &
     139             :                       para_env=para_env, &
     140             :                       input=input_section, &
     141             :                       rho0_s_gs=rho0_s_gs, &
     142        3802 :                       dft_control=dft_control)
     143             : 
     144        3802 :       CALL qs_rho_get(rho, rho_r=rho_r)
     145             : 
     146        3802 :       logger => cp_get_default_logger()
     147        3802 :       ks_qmmm_env_loc => qs_env%ks_qmmm_env
     148        3802 :       interp_section => section_vals_get_subs_vals(input_section, "QMMM%INTERPOLATOR")
     149        3802 :       print_section => section_vals_get_subs_vals(input_section, "QMMM%PRINT")
     150             :       iw = cp_print_key_unit_nr(logger, print_section, "PROGRAM_RUN_INFO", &
     151        3802 :                                 extension=".qmmmLog")
     152        3802 :       gapw = dft_control%qs_control%gapw
     153             :       ! If forces are required allocate these temporary arrays
     154        3802 :       IF (need_f) THEN
     155        5232 :          ALLOCATE (Forces(3, qmmm_env%num_mm_atoms))
     156        3520 :          ALLOCATE (Forces_added_charges(3, qmmm_env%added_charges%num_mm_atoms))
     157        3490 :          ALLOCATE (Forces_added_shells(3, qmmm_env%added_shells%num_mm_atoms))
     158     4977168 :          Forces(:, :) = 0.0_dp
     159        2192 :          Forces_added_charges(:, :) = 0.0_dp
     160        1968 :          Forces_added_shells(:, :) = 0.0_dp
     161             :       END IF
     162        3802 :       IF (dft_control%qs_control%semi_empirical) THEN
     163             :          ! SEMIEMPIRICAL
     164        2382 :          SELECT CASE (qmmm_env%qmmm_coupl_type)
     165             :          CASE (do_qmmm_coulomb)
     166             :             CALL deriv_se_qmmm_matrix(qs_env, qmmm_env, mm_particles, mm_cell, para_env, &
     167         936 :                                       need_f, Forces, Forces_added_charges)
     168             :          CASE (do_qmmm_pcharge)
     169           0 :             CPABORT("Point Charge QM/MM electrostatic coupling not yet implemented for SE.")
     170             :          CASE (do_qmmm_gauss, do_qmmm_swave)
     171           0 :             CPABORT("GAUSS or SWAVE QM/MM electrostatic coupling not yet implemented for SE.")
     172             :          CASE (do_qmmm_none)
     173         510 :             IF (iw > 0) WRITE (iw, '(T2,"QMMM|",1X,A)') &
     174         176 :                "- No QM/MM Electrostatic coupling. Just Mechanical Coupling!"
     175             :          CASE DEFAULT
     176           0 :             IF (iw > 0) WRITE (iw, '(T2,"QMMM|",1X,A)') "Unknown Coupling..."
     177        1446 :             CPABORT("")
     178             :          END SELECT
     179        2356 :       ELSEIF (dft_control%qs_control%dftb .OR. dft_control%qs_control%xtb) THEN
     180             :          ! DFTB
     181        1580 :          SELECT CASE (qmmm_env%qmmm_coupl_type)
     182             :          CASE (do_qmmm_none)
     183           8 :             IF (iw > 0) WRITE (iw, '(T2,"QMMM|",1X,A)') &
     184           4 :                "- No QM/MM Electrostatic coupling. Just Mechanical Coupling!"
     185             :          CASE (do_qmmm_coulomb)
     186             :             CALL deriv_tb_qmmm_matrix(qs_env, qmmm_env, mm_particles, mm_cell, para_env, &
     187         448 :                                       need_f, Forces, Forces_added_charges)
     188             :          CASE (do_qmmm_pcharge)
     189             :             CALL deriv_tb_qmmm_matrix_pc(qs_env, qmmm_env, mm_particles, mm_cell, para_env, &
     190        1116 :                                          need_f, Forces, Forces_added_charges)
     191             :          CASE (do_qmmm_gauss, do_qmmm_swave)
     192           0 :             CPABORT("GAUSS or SWAVE QM/MM electrostatic coupling not yet implemented for DFTB.")
     193             :          CASE DEFAULT
     194           0 :             IF (iw > 0) WRITE (iw, '(T2,"QMMM|",1X,A)') "Unknown Coupling..."
     195        1572 :             CPABORT("")
     196             :          END SELECT
     197        1572 :          IF (need_f) THEN
     198        1116 :             Forces(:, :) = Forces(:, :)/REAL(para_env%num_pe, KIND=dp)
     199          60 :             Forces_added_charges(:, :) = Forces_added_charges(:, :)/REAL(para_env%num_pe, KIND=dp)
     200             :          END IF
     201             :       ELSE
     202             :          ! GPW/GAPW
     203             :          CALL pw_env_get(pw_env=pw_env, &
     204             :                          pw_pools=pw_pools, &
     205         784 :                          auxbas_pw_pool=auxbas_pool)
     206             :          NULLIFY (rho_tot_r)
     207         784 :          ALLOCATE (rho_tot_r)
     208         784 :          CALL auxbas_pool%create_pw(rho_tot_r)
     209             :          ! IF GAPW the core charge is replaced by the compensation charge
     210         784 :          IF (gapw) THEN
     211         134 :             IF (dft_control%qs_control%gapw_control%nopaw_as_gpw) THEN
     212           6 :                CALL pw_transfer(rho_core, rho_tot_r)
     213           6 :                energy%qmmm_nu = pw_integral_ab(rho_tot_r, ks_qmmm_env_loc%v_qmmm_rspace)
     214           6 :                NULLIFY (rho_tot_r2)
     215           6 :                ALLOCATE (rho_tot_r2)
     216           6 :                CALL auxbas_pool%create_pw(rho_tot_r2)
     217           6 :                CALL pw_transfer(rho0_s_gs, rho_tot_r2)
     218           6 :                CALL pw_axpy(rho_tot_r2, rho_tot_r)
     219           6 :                CALL auxbas_pool%give_back_pw(rho_tot_r2)
     220           6 :                DEALLOCATE (rho_tot_r2)
     221             :             ELSE
     222         128 :                CALL pw_transfer(rho0_s_gs, rho_tot_r)
     223             :                !
     224             :                ! QM/MM Nuclear Electrostatic Potential already included through rho0
     225             :                !
     226         128 :                energy%qmmm_nu = 0.0_dp
     227             :             END IF
     228             :          ELSE
     229         650 :             CALL pw_transfer(rho_core, rho_tot_r)
     230             :             !
     231             :             ! Computes the QM/MM Nuclear Electrostatic Potential
     232             :             !
     233         650 :             energy%qmmm_nu = pw_integral_ab(rho_tot_r, ks_qmmm_env_loc%v_qmmm_rspace)
     234             :          END IF
     235         784 :          IF (need_f) THEN
     236             :             !
     237         798 :             DO ispin = 1, SIZE(rho_r)
     238         798 :                CALL pw_axpy(rho_r(ispin), rho_tot_r)
     239             :             END DO
     240         386 :             IF (iw > 0) WRITE (iw, '(T2,"QMMM|",1X,A)') "Evaluating forces on MM atoms due to the:"
     241             :             ! Electrostatic Interaction type...
     242         386 :             SELECT CASE (qmmm_env%qmmm_coupl_type)
     243             :             CASE (do_qmmm_coulomb)
     244           0 :                CPABORT("Coulomb QM/MM electrostatic coupling not implemented for GPW/GAPW.")
     245             :             CASE (do_qmmm_pcharge)
     246           0 :                CPABORT("Point Charge QM/MM electrostatic coupling not yet implemented for GPW/GAPW.")
     247             :             CASE (do_qmmm_gauss, do_qmmm_swave)
     248         346 :                IF (iw > 0) WRITE (iw, '(T2,"QMMM|",1X,A)') &
     249         177 :                   "- QM/MM Coupling computed collocating the Gaussian Potential Functions."
     250             :                CALL qmmm_forces_with_gaussian(rho=rho_tot_r, &
     251             :                                               qmmm_env=qmmm_env, &
     252             :                                               mm_particles=mm_particles, &
     253             :                                               aug_pools=qmmm_env%aug_pools, &
     254             :                                               auxbas_grid=qmmm_env%gridlevel_info%auxbas_grid, &
     255             :                                               coarser_grid=qmmm_env%gridlevel_info%coarser_grid, &
     256             :                                               para_env=para_env, &
     257             :                                               pw_pools=pw_pools, &
     258             :                                               eps_mm_rspace=qmmm_env%eps_mm_rspace, &
     259             :                                               cube_info=ks_qmmm_env_loc%cube_info, &
     260             :                                               Forces=Forces, &
     261             :                                               Forces_added_charges=Forces_added_charges, &
     262             :                                               Forces_added_shells=Forces_added_shells, &
     263             :                                               interp_section=interp_section, &
     264             :                                               iw=iw, &
     265         346 :                                               mm_cell=mm_cell)
     266             :             CASE (do_qmmm_none)
     267          40 :                IF (iw > 0) WRITE (iw, '(T2,"QMMM|",1X,A)') &
     268          20 :                   "- No QM/MM Electrostatic coupling. Just Mechanical Coupling!"
     269             :             CASE DEFAULT
     270           0 :                IF (iw > 0) WRITE (iw, '(T2,"QMMM|",1X,A)') "- Unknown Coupling..."
     271         386 :                CPABORT("")
     272             :             END SELECT
     273             :          END IF
     274             :       END IF
     275             :       ! Correct Total Energy adding the contribution of the QM/MM nuclear interaction
     276        3802 :       energy%total = energy%total + energy%qmmm_nu
     277             :       ! Proceed if gradients are requested..
     278        3802 :       IF (need_f) THEN
     279             :          !ikuo Temporary change to alleviate compiler problems on Intel with
     280             :          !array dimension of 0
     281     9952592 :          IF (qmmm_env%num_mm_atoms /= 0) CALL para_env%sum(Forces)
     282        2640 :          IF (qmmm_env%added_charges%num_mm_atoms /= 0) CALL para_env%sum(Forces_added_charges)
     283        2192 :          IF (qmmm_env%added_shells%num_mm_atoms /= 0) CALL para_env%sum(Forces_added_shells)
     284             :          ! Debug Forces
     285             :          IF (debug_this_module) THEN
     286             :             IF (dft_control%qs_control%semi_empirical .OR. &
     287             :                 dft_control%qs_control%dftb .OR. dft_control%qs_control%xtb) THEN
     288             :                WRITE (iw, *) "NO DEBUG AVAILABLE in module"//TRIM(routineN)
     289             :             ELSE
     290             :                ! Print Out Forces
     291             :                IF (iw > 0) THEN
     292             :                   DO Imm = 1, SIZE(qmmm_env%mm_atom_index)
     293             :                      WRITE (iw, *) "ANALYTICAL FORCES:"
     294             :                      IndMM = qmmm_env%mm_atom_index(Imm)
     295             :                      WRITE (iw, '(I6,3F15.9)') IndMM, Forces(:, Imm)
     296             :                   END DO
     297             :                END IF
     298             :                CALL qmmm_debug_forces(rho=rho_tot_r, &
     299             :                                       qs_env=qs_env, &
     300             :                                       qmmm_env=qmmm_env, &
     301             :                                       Analytical_Forces=Forces, &
     302             :                                       mm_particles=mm_particles, &
     303             :                                       mm_atom_index=qmmm_env%mm_atom_index, &
     304             :                                       num_mm_atoms=qmmm_env%num_mm_atoms, &
     305             :                                       interp_section=interp_section, &
     306             :                                       mm_cell=mm_cell)
     307             :             END IF
     308             :          END IF
     309             :       END IF
     310             :       ! Give back rho_tot_t to auxbas_pool only for GPW/GAPW
     311             :       IF ((.NOT. dft_control%qs_control%semi_empirical) .AND. &
     312        3802 :           (.NOT. dft_control%qs_control%dftb) .AND. (.NOT. dft_control%qs_control%xtb)) THEN
     313         784 :          CALL auxbas_pool%give_back_pw(rho_tot_r)
     314         784 :          DEALLOCATE (rho_tot_r)
     315             :       END IF
     316        3802 :       IF (iw > 0) THEN
     317        1023 :          IF (.NOT. gapw) WRITE (iw, '(T2,"QMMM|",1X,A,T66,F15.9)') &
     318         959 :             "QM/MM Nuclear Electrostatic Potential :", energy%qmmm_nu
     319             :          WRITE (iw, '(T2,"QMMM|",1X,A,T66,F15.9)') &
     320        1023 :             "QMMM Total Energy (QM + QMMM electronic + QMMM nuclear):", energy%total
     321             :          WRITE (iw, '(T2,"QMMM|",1X,A)') "MM energy NOT included in the above term!"// &
     322        1023 :             " Check for:  FORCE_EVAL ( QMMM )"
     323        1023 :          WRITE (iw, '(T2,"QMMM|",1X,A)') "that includes both QM, QMMM and MM energy terms!"
     324             :       END IF
     325        3802 :       IF (need_f) THEN
     326             :          ! Transfer Forces
     327     1245600 :          DO Imm = 1, qmmm_env%num_mm_atoms
     328     1243856 :             IndMM = qmmm_env%mm_atom_index(Imm)
     329             : 
     330             :             !add image forces to Forces
     331     1243856 :             IF (qmmm_env%image_charge) THEN
     332        1920 :                DO iatom = 1, qmmm_env%num_image_mm_atoms
     333        1280 :                   image_IndMM = qmmm_env%image_charge_pot%image_mm_list(iatom)
     334        1920 :                   IF (image_IndMM .EQ. IndMM) THEN
     335             :                      Forces(:, Imm) = Forces(:, Imm) &
     336         320 :                                       + qmmm_env%image_charge_pot%image_forcesMM(:, iatom)
     337             :                   END IF
     338             :                END DO
     339             :             END IF
     340             : 
     341             :             ! Hack: In Forces there the gradients indeed...
     342             :             ! Minux sign to take care of this misunderstanding...
     343     9952592 :             mm_particles(IndMM)%f(:) = -Forces(:, Imm) + mm_particles(IndMM)%f(:)
     344             :          END DO
     345        1744 :          DEALLOCATE (Forces)
     346        1744 :          IF (qmmm_env%move_mm_charges .OR. qmmm_env%add_mm_charges) THEN
     347         144 :             DO Imm = 1, qmmm_env%added_charges%num_mm_atoms
     348         112 :                IndMM = qmmm_env%added_charges%mm_atom_index(Imm)
     349             :                ! Hack: In Forces there the gradients indeed...
     350             :                ! Minux sign to take care of this misunderstanding...
     351        2640 :                qmmm_env%added_charges%added_particles(IndMM)%f(:) = -Forces_added_charges(:, Imm)
     352             :             END DO
     353             :          END IF
     354        1744 :          DEALLOCATE (Forces_added_charges)
     355        1744 :          IF (qmmm_env%added_shells%num_mm_atoms .GT. 0) THEN
     356          58 :             DO Imm = 1, qmmm_env%added_shells%num_mm_atoms
     357          56 :                IndMM = qmmm_env%added_shells%mm_core_index(Imm)
     358             :                ! Hack: In Forces there the gradients indeed...
     359             :                ! Minux sign to take care of this misunderstanding...
     360             :                qmmm_env%added_shells%added_particles(Imm)%f(:) = qmmm_env%added_shells%added_particles(Imm)%f(:) - &
     361         450 :                                                                  Forces_added_shells(:, Imm)
     362             : 
     363             :             END DO
     364             :          END IF
     365        1744 :          DEALLOCATE (Forces_added_shells)
     366             :       END IF
     367        3802 :       CALL cp_print_key_finished_output(iw, logger, print_section, "PROGRAM_RUN_INFO")
     368        3802 :       CALL timestop(handle)
     369             : 
     370        3802 :    END SUBROUTINE qmmm_forces
     371             : 
     372             : ! **************************************************************************************************
     373             : !> \brief Evaluates the contribution to the forces due to the
     374             : !>      QM/MM potential computed collocating the Electrostatic
     375             : !>      Gaussian Potential.
     376             : !> \param rho ...
     377             : !> \param qmmm_env ...
     378             : !> \param mm_particles ...
     379             : !> \param aug_pools ...
     380             : !> \param auxbas_grid ...
     381             : !> \param coarser_grid ...
     382             : !> \param cube_info ...
     383             : !> \param para_env ...
     384             : !> \param eps_mm_rspace ...
     385             : !> \param pw_pools ...
     386             : !> \param Forces ...
     387             : !> \param Forces_added_charges ...
     388             : !> \param Forces_added_shells ...
     389             : !> \param interp_section ...
     390             : !> \param iw ...
     391             : !> \param mm_cell ...
     392             : !> \par History
     393             : !>      06.2004 created [tlaino]
     394             : !> \author Teodoro Laino
     395             : ! **************************************************************************************************
     396         346 :    SUBROUTINE qmmm_forces_with_gaussian(rho, qmmm_env, mm_particles, &
     397             :                                         aug_pools, auxbas_grid, coarser_grid, cube_info, para_env, &
     398             :                                         eps_mm_rspace, pw_pools, Forces, Forces_added_charges, Forces_added_shells, &
     399             :                                         interp_section, iw, mm_cell)
     400             :       TYPE(pw_r3d_rs_type), POINTER                      :: rho
     401             :       TYPE(qmmm_env_qm_type), POINTER                    :: qmmm_env
     402             :       TYPE(particle_type), DIMENSION(:), POINTER         :: mm_particles
     403             :       TYPE(pw_pool_p_type), DIMENSION(:), POINTER        :: aug_pools
     404             :       INTEGER, INTENT(IN)                                :: auxbas_grid, coarser_grid
     405             :       TYPE(cube_info_type), DIMENSION(:), POINTER        :: cube_info
     406             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     407             :       REAL(KIND=dp), INTENT(IN)                          :: eps_mm_rspace
     408             :       TYPE(pw_pool_p_type), DIMENSION(:), POINTER        :: pw_pools
     409             :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: Forces, Forces_added_charges, &
     410             :                                                             Forces_added_shells
     411             :       TYPE(section_vals_type), POINTER                   :: interp_section
     412             :       INTEGER, INTENT(IN)                                :: iw
     413             :       TYPE(cell_type), POINTER                           :: mm_cell
     414             : 
     415             :       CHARACTER(len=*), PARAMETER :: routineN = 'qmmm_forces_with_gaussian'
     416             : 
     417             :       INTEGER                                            :: handle, i, igrid, j, k, kind_interp, me, &
     418             :                                                             ngrids, stat
     419             :       INTEGER, DIMENSION(3)                              :: glb, gub, lb, ub
     420         346 :       INTEGER, DIMENSION(:), POINTER                     :: pos_of_x
     421             :       LOGICAL                                            :: shells
     422         346 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: tmp
     423             :       TYPE(mp_comm_type)                                 :: group
     424             :       TYPE(mp_request_type)                              :: request
     425         346 :       TYPE(pw_r3d_rs_type), ALLOCATABLE, DIMENSION(:)    :: grids
     426             : 
     427             : ! Statements
     428             : 
     429         346 :       CALL timeset(routineN, handle)
     430         346 :       NULLIFY (tmp)
     431         346 :       CPASSERT(ASSOCIATED(mm_particles))
     432         346 :       CPASSERT(ASSOCIATED(qmmm_env%mm_atom_chrg))
     433         346 :       CPASSERT(ASSOCIATED(qmmm_env%mm_atom_index))
     434         346 :       CPASSERT(ASSOCIATED(Forces))
     435             :       !Statements
     436         346 :       ngrids = SIZE(pw_pools)
     437         346 :       CALL pw_pools_create_pws(aug_pools, grids)
     438        1754 :       DO igrid = 1, ngrids
     439        1754 :          CALL pw_zero(grids(igrid))
     440             :       END DO
     441             :       ! Collocate Density on multigrids
     442        1384 :       lb = rho%pw_grid%bounds_local(1, :)
     443        1384 :       ub = rho%pw_grid%bounds_local(2, :)
     444             :       grids(auxbas_grid)%array(lb(1):ub(1), &
     445             :                                lb(2):ub(2), &
     446    15548762 :                                lb(3):ub(3)) = rho%array
     447             :       ! copy the boundaries
     448        7386 :       DO i = lb(1), ub(1)
     449        7386 :          grids(auxbas_grid)%array(i, ub(2) + 1, ub(3) + 1) = rho%array(i, lb(2), lb(3))
     450             :       END DO
     451       13914 :       DO k = lb(3), ub(3)
     452      324058 :          DO i = lb(1), ub(1)
     453      323712 :             grids(auxbas_grid)%array(i, ub(2) + 1, k) = rho%array(i, lb(2), k)
     454             :          END DO
     455             :       END DO
     456       13786 :       DO j = lb(2), ub(2)
     457      319834 :          DO i = lb(1), ub(1)
     458      319488 :             grids(auxbas_grid)%array(i, j, ub(3) + 1) = rho%array(i, j, lb(3))
     459             :          END DO
     460             :       END DO
     461         346 :       pos_of_x => grids(auxbas_grid)%pw_grid%para%pos_of_x
     462         346 :       group = grids(auxbas_grid)%pw_grid%para%group
     463         346 :       me = grids(auxbas_grid)%pw_grid%para%my_pos
     464        1384 :       glb = rho%pw_grid%bounds(1, :)
     465        1384 :       gub = rho%pw_grid%bounds(2, :)
     466         346 :       IF ((pos_of_x(glb(1)) .EQ. me) .AND. (pos_of_x(gub(1)) .EQ. me)) THEN
     467         520 :          DO k = lb(3), ub(3)
     468       33280 :             DO j = lb(2), ub(2)
     469       33280 :                grids(auxbas_grid)%array(ub(1) + 1, j, k) = rho%array(lb(1), j, k)
     470             :             END DO
     471         520 :             grids(auxbas_grid)%array(ub(1) + 1, ub(2) + 1, k) = rho%array(lb(1), lb(2), k)
     472             :          END DO
     473         520 :          DO j = lb(2), ub(2)
     474         520 :             grids(auxbas_grid)%array(ub(1) + 1, j, ub(3) + 1) = rho%array(lb(1), j, lb(3))
     475             :          END DO
     476           8 :          grids(auxbas_grid)%array(ub(1) + 1, ub(2) + 1, ub(3) + 1) = rho%array(lb(1), lb(2), lb(3))
     477         338 :       ELSE IF (pos_of_x(glb(1)) .EQ. me) THEN
     478             :          ALLOCATE (tmp(rho%pw_grid%bounds_local(1, 2):rho%pw_grid%bounds_local(2, 2), &
     479             :                        rho%pw_grid%bounds_local(1, 3):rho%pw_grid%bounds_local(2, 3)), &
     480         676 :                    stat=stat)
     481         169 :          CPASSERT(stat == 0)
     482      559954 :          tmp = rho%array(lb(1), :, :)
     483             :          CALL group%isend(msgin=tmp, dest=pos_of_x(rho%pw_grid%bounds(2, 1)), &
     484         169 :                           request=request, tag=112)
     485         169 :          CALL request%wait()
     486         169 :       ELSE IF (pos_of_x(gub(1)) .EQ. me) THEN
     487             :          ALLOCATE (tmp(rho%pw_grid%bounds_local(1, 2):rho%pw_grid%bounds_local(2, 2), &
     488             :                        rho%pw_grid%bounds_local(1, 3):rho%pw_grid%bounds_local(2, 3)), &
     489         676 :                    stat=stat)
     490           0 :          CPASSERT(stat == 0)
     491             :          CALL group%irecv(msgout=tmp, source=pos_of_x(rho%pw_grid%bounds(1, 1)), &
     492         169 :                           request=request, tag=112)
     493         169 :          CALL request%wait()
     494             : 
     495        6697 :          DO k = lb(3), ub(3)
     496      279808 :             DO j = lb(2), ub(2)
     497      279808 :                grids(auxbas_grid)%array(ub(1) + 1, j, k) = tmp(j, k)
     498             :             END DO
     499        6697 :             grids(auxbas_grid)%array(ub(1) + 1, ub(2) + 1, k) = tmp(lb(2), k)
     500             :          END DO
     501        6633 :          DO j = lb(2), ub(2)
     502        6633 :             grids(auxbas_grid)%array(ub(1) + 1, j, ub(3) + 1) = tmp(j, lb(3))
     503             :          END DO
     504         169 :          grids(auxbas_grid)%array(ub(1) + 1, ub(2) + 1, ub(3) + 1) = tmp(lb(2), lb(3))
     505             :       END IF
     506         346 :       IF (ASSOCIATED(tmp)) THEN
     507         338 :          DEALLOCATE (tmp)
     508             :       END IF
     509             :       ! Further setup of parallelization scheme
     510         346 :       IF (qmmm_env%par_scheme == do_par_atom) THEN
     511         338 :          CALL para_env%sum(grids(auxbas_grid)%array)
     512             :       END IF
     513             :       ! RealSpace Interpolation
     514         346 :       CALL section_vals_val_get(interp_section, "kind", i_val=kind_interp)
     515         346 :       SELECT CASE (kind_interp)
     516             :       CASE (spline3_nopbc_interp, spline3_pbc_interp)
     517             :          ! Spline Interpolator
     518        1408 :          DO Igrid = auxbas_grid, SIZE(grids) - 1
     519             :             CALL pw_restrict_s3(grids(Igrid), &
     520             :                                 grids(Igrid + 1), &
     521             :                                 aug_pools(Igrid + 1)%pool, &
     522        1408 :                                 param_section=interp_section)
     523             :          END DO
     524             :       CASE DEFAULT
     525         346 :          CPABORT("")
     526             :       END SELECT
     527             : 
     528         346 :       shells = .FALSE.
     529             :       CALL qmmm_force_with_gaussian_low(grids, mm_particles, &
     530             :                                         qmmm_env%mm_atom_chrg, qmmm_env%mm_atom_index, &
     531             :                                         qmmm_env%num_mm_atoms, cube_info, para_env, eps_mm_rspace, auxbas_grid, &
     532             :                                         coarser_grid, qmmm_env%pgfs, qmmm_env%potentials, Forces, aug_pools, &
     533             :                                         mm_cell, qmmm_env%dOmmOqm, qmmm_env%periodic, qmmm_env%per_potentials, &
     534         346 :                                         iw, qmmm_env%par_scheme, qmmm_env%spherical_cutoff, shells)
     535             : 
     536         346 :       IF (qmmm_env%move_mm_charges .OR. qmmm_env%add_mm_charges) THEN
     537             :          CALL qmmm_force_with_gaussian_low(grids, qmmm_env%added_charges%added_particles, &
     538             :                                            qmmm_env%added_charges%mm_atom_chrg, &
     539             :                                            qmmm_env%added_charges%mm_atom_index, qmmm_env%added_charges%num_mm_atoms, &
     540             :                                        cube_info, para_env, eps_mm_rspace, auxbas_grid, coarser_grid, qmmm_env%added_charges%pgfs, &
     541             :                                            qmmm_env%added_charges%potentials, Forces_added_charges, aug_pools, mm_cell, &
     542             :                               qmmm_env%dOmmOqm, qmmm_env%periodic, qmmm_env%added_charges%per_potentials, iw, qmmm_env%par_scheme, &
     543          32 :                                            qmmm_env%spherical_cutoff, shells)
     544             :       END IF
     545             : 
     546         346 :       IF (qmmm_env%added_shells%num_mm_atoms .GT. 0) THEN
     547           2 :          shells = .TRUE.
     548             :          CALL qmmm_force_with_gaussian_low(grids, qmmm_env%added_shells%added_particles, &
     549             :                                            qmmm_env%added_shells%mm_core_chrg, &
     550             :                                            qmmm_env%added_shells%mm_core_index, qmmm_env%added_shells%num_mm_atoms, &
     551             :                                         cube_info, para_env, eps_mm_rspace, auxbas_grid, coarser_grid, qmmm_env%added_shells%pgfs, &
     552             :                                            qmmm_env%added_shells%potentials, Forces_added_shells, aug_pools, mm_cell, &
     553             :                                qmmm_env%dOmmOqm, qmmm_env%periodic, qmmm_env%added_shells%per_potentials, iw, qmmm_env%par_scheme, &
     554           2 :                                            qmmm_env%spherical_cutoff, shells)
     555             :       END IF
     556             : 
     557         346 :       CALL pw_pools_give_back_pws(aug_pools, grids)
     558         346 :       CALL timestop(handle)
     559             : 
     560         692 :    END SUBROUTINE qmmm_forces_with_gaussian
     561             : 
     562             : ! **************************************************************************************************
     563             : !> \brief Evaluates the contribution to the forces due to the
     564             : !>      QM/MM potential computed collocating the Electrostatic
     565             : !>      Gaussian Potential. Low Level
     566             : !> \param grids ...
     567             : !> \param mm_particles ...
     568             : !> \param mm_charges ...
     569             : !> \param mm_atom_index ...
     570             : !> \param num_mm_atoms ...
     571             : !> \param cube_info ...
     572             : !> \param para_env ...
     573             : !> \param eps_mm_rspace ...
     574             : !> \param auxbas_grid ...
     575             : !> \param coarser_grid ...
     576             : !> \param pgfs ...
     577             : !> \param potentials ...
     578             : !> \param Forces ...
     579             : !> \param aug_pools ...
     580             : !> \param mm_cell ...
     581             : !> \param dOmmOqm ...
     582             : !> \param periodic ...
     583             : !> \param per_potentials ...
     584             : !> \param iw ...
     585             : !> \param par_scheme ...
     586             : !> \param qmmm_spherical_cutoff ...
     587             : !> \param shells ...
     588             : !> \par History
     589             : !>      06.2004 created [tlaino]
     590             : !> \author Teodoro Laino
     591             : ! **************************************************************************************************
     592         380 :    SUBROUTINE qmmm_force_with_gaussian_low(grids, mm_particles, mm_charges, &
     593             :                                            mm_atom_index, num_mm_atoms, cube_info, para_env, &
     594             :                                            eps_mm_rspace, auxbas_grid, coarser_grid, pgfs, potentials, Forces, &
     595             :                                            aug_pools, mm_cell, dOmmOqm, periodic, per_potentials, iw, par_scheme, &
     596             :                                            qmmm_spherical_cutoff, shells)
     597             :       TYPE(pw_r3d_rs_type), DIMENSION(:), INTENT(IN)     :: grids
     598             :       TYPE(particle_type), DIMENSION(:), POINTER         :: mm_particles
     599             :       REAL(KIND=dp), DIMENSION(:), POINTER               :: mm_charges
     600             :       INTEGER, DIMENSION(:), POINTER                     :: mm_atom_index
     601             :       INTEGER, INTENT(IN)                                :: num_mm_atoms
     602             :       TYPE(cube_info_type), DIMENSION(:), POINTER        :: cube_info
     603             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     604             :       REAL(KIND=dp), INTENT(IN)                          :: eps_mm_rspace
     605             :       INTEGER, INTENT(IN)                                :: auxbas_grid, coarser_grid
     606             :       TYPE(qmmm_gaussian_p_type), DIMENSION(:), POINTER  :: pgfs
     607             :       TYPE(qmmm_pot_p_type), DIMENSION(:), POINTER       :: Potentials
     608             :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: Forces
     609             :       TYPE(pw_pool_p_type), DIMENSION(:), POINTER        :: aug_pools
     610             :       TYPE(cell_type), POINTER                           :: mm_cell
     611             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: dOmmOqm
     612             :       LOGICAL, INTENT(in)                                :: periodic
     613             :       TYPE(qmmm_per_pot_p_type), DIMENSION(:), POINTER   :: per_potentials
     614             :       INTEGER, INTENT(IN)                                :: iw, par_scheme
     615             :       REAL(KIND=dp), INTENT(IN)                          :: qmmm_spherical_cutoff(2)
     616             :       LOGICAL, INTENT(in)                                :: shells
     617             : 
     618             :       CHARACTER(len=*), PARAMETER :: routineN = 'qmmm_force_with_gaussian_low', &
     619             :          routineNb = 'qmmm_forces_gaussian_low'
     620             : 
     621             :       INTEGER                                            :: handle, handle2, IGauss, ilevel, Imm, &
     622             :                                                             IndMM, IRadTyp, LIndMM, myind, &
     623             :                                                             n_rep_real(3)
     624             :       INTEGER, DIMENSION(2, 3)                           :: bo
     625             :       REAL(KIND=dp)                                      :: alpha, dvol, height, sph_chrg_factor, W
     626         380 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: xdat, ydat, zdat
     627             :       REAL(KIND=dp), DIMENSION(3)                        :: force, ra
     628             :       TYPE(qmmm_gaussian_type), POINTER                  :: pgf
     629             :       TYPE(qmmm_per_pot_type), POINTER                   :: per_pot
     630             :       TYPE(qmmm_pot_type), POINTER                       :: pot
     631             : 
     632         380 :       CALL timeset(routineN, handle)
     633         380 :       CALL timeset(routineNb//"_G", handle2)
     634         380 :       NULLIFY (pgf, pot, per_pot)
     635         380 :       IF (par_scheme == do_par_atom) myind = 0
     636        1074 :       Radius: DO IRadTyp = 1, SIZE(pgfs)
     637         694 :          pgf => pgfs(IRadTyp)%pgf
     638         694 :          pot => potentials(IRadTyp)%pot
     639         694 :          n_rep_real = 0
     640         694 :          IF (periodic) THEN
     641          76 :             per_pot => per_potentials(IRadTyp)%pot
     642         304 :             n_rep_real = per_pot%n_rep_real
     643             :          END IF
     644        5752 :          Gaussian: DO IGauss = 1, pgf%Number_of_Gaussians
     645        4678 :             alpha = 1.0_dp/pgf%Gk(IGauss)
     646        4678 :             alpha = alpha*alpha
     647        4678 :             height = pgf%Ak(IGauss)
     648        4678 :             ilevel = pgf%grid_level(IGauss)
     649        4678 :             dvol = grids(ilevel)%pw_grid%dvol
     650       46780 :             bo = grids(ilevel)%pw_grid%bounds_local
     651       14034 :             ALLOCATE (xdat(2, bo(1, 1):bo(2, 1)))
     652       14034 :             ALLOCATE (ydat(2, bo(1, 2):bo(2, 2)))
     653       14034 :             ALLOCATE (zdat(2, bo(1, 3):bo(2, 3)))
     654             :             !$OMP PARALLEL DO DEFAULT(NONE) &
     655             :             !$OMP SHARED(pot, par_scheme, dvol, alpha, para_env, mm_atom_index, shells) &
     656             :             !$OMP SHARED(mm_particles, dOmmOqm, mm_cell, height, mm_charges, qmmm_spherical_cutoff) &
     657             :             !$OMP SHARED(grids, cube_info, bo, n_rep_real, eps_mm_rspace, Forces, ilevel) &
     658             :             !$OMP SHARED(IGauss, pgf, IRadTyp, iw, aug_pools, auxbas_grid) &
     659             :             !$OMP PRIVATE(xdat, ydat, zdat) &
     660        4678 :             !$OMP PRIVATE(Imm, LIndMM, IndMM, ra, W, force, sph_chrg_factor, myind)
     661             :             Atoms: DO Imm = 1, SIZE(pot%mm_atom_index)
     662             :                IF (par_scheme == do_par_atom) THEN
     663             :                   myind = Imm + (IGauss - 1)*SIZE(pot%mm_atom_index) + (IRadTyp - 1)*pgf%Number_of_Gaussians
     664             :                   IF (MOD(myind, para_env%num_pe) /= para_env%mepos) CYCLE Atoms
     665             :                END IF
     666             :                LIndMM = pot%mm_atom_index(Imm)
     667             :                IndMM = mm_atom_index(LIndMM)
     668             :                IF (shells) THEN
     669             :                   ra(:) = pbc(mm_particles(Imm)%r - dOmmOqm, mm_cell) + dOmmOqm
     670             :                ELSE
     671             :                   ra(:) = pbc(mm_particles(IndMM)%r - dOmmOqm, mm_cell) + dOmmOqm
     672             :                END IF
     673             :                W = mm_charges(LIndMM)*height
     674             :                force = 0.0_dp
     675             :                ! Possible Spherical Cutoff
     676             :                IF (qmmm_spherical_cutoff(1) > 0.0_dp) THEN
     677             :                   CALL spherical_cutoff_factor(qmmm_spherical_cutoff, ra, sph_chrg_factor)
     678             :                   W = W*sph_chrg_factor
     679             :                END IF
     680             :                IF (ABS(W) <= EPSILON(0.0_dp)) CYCLE Atoms
     681             :                CALL integrate_gf_rspace_NoPBC(zetp=alpha, &
     682             :                                               rp=ra, &
     683             :                                               scale=-1.0_dp, &
     684             :                                               W=W, &
     685             :                                               pwgrid=grids(ilevel), &
     686             :                                               cube_info=cube_info(ilevel), &
     687             :                                               eps_mm_rspace=eps_mm_rspace, &
     688             :                                               xdat=xdat, &
     689             :                                               ydat=ydat, &
     690             :                                               zdat=zdat, &
     691             :                                               bo=bo, &
     692             :                                               force=force, &
     693             :                                               n_rep_real=n_rep_real, &
     694             :                                               mm_cell=mm_cell)
     695             :                force = force*dvol
     696             :                Forces(:, LIndMM) = Forces(:, LIndMM) + force(:)
     697             :                !
     698             :                ! Debug Statement
     699             :                !
     700             :                IF (debug_this_module) THEN
     701             :                   CALL debug_integrate_gf_rspace_NoPBC(ilevel=ilevel, &
     702             :                                                        zetp=alpha, &
     703             :                                                        rp=ra, &
     704             :                                                        W=W, &
     705             :                                                        pwgrid=grids(ilevel), &
     706             :                                                        cube_info=cube_info(ilevel), &
     707             :                                                        eps_mm_rspace=eps_mm_rspace, &
     708             :                                                        aug_pools=aug_pools, &
     709             :                                                        debug_force=force, &
     710             :                                                        mm_cell=mm_cell, &
     711             :                                                        auxbas_grid=auxbas_grid, &
     712             :                                                        n_rep_real=n_rep_real, &
     713             :                                                        iw=iw)
     714             :                END IF
     715             :             END DO Atoms
     716             :             !$OMP END PARALLEL DO
     717        4678 :             DEALLOCATE (xdat)
     718        4678 :             DEALLOCATE (ydat)
     719        5372 :             DEALLOCATE (zdat)
     720             :          END DO Gaussian
     721             :       END DO Radius
     722         380 :       CALL timestop(handle2)
     723         380 :       CALL timeset(routineNb//"_R", handle2)
     724         380 :       IF (periodic) THEN
     725             :          CALL qmmm_forces_with_gaussian_LG(pgfs=pgfs, &
     726             :                                            cgrid=grids(coarser_grid), &
     727             :                                            num_mm_atoms=num_mm_atoms, &
     728             :                                            mm_charges=mm_charges, &
     729             :                                            mm_atom_index=mm_atom_index, &
     730             :                                            mm_particles=mm_particles, &
     731             :                                            para_env=para_env, &
     732             :                                            coarser_grid_level=coarser_grid, &
     733             :                                            Forces=Forces, &
     734             :                                            per_potentials=per_potentials, &
     735             :                                            aug_pools=aug_pools, &
     736             :                                            mm_cell=mm_cell, &
     737             :                                            dOmmOqm=dOmmOqm, &
     738             :                                            iw=iw, &
     739             :                                            par_scheme=par_scheme, &
     740             :                                            qmmm_spherical_cutoff=qmmm_spherical_cutoff, &
     741          48 :                                            shells=shells)
     742             :       ELSE
     743             :          CALL qmmm_forces_with_gaussian_LR(pgfs=pgfs, &
     744             :                                            cgrid=grids(coarser_grid), &
     745             :                                            num_mm_atoms=num_mm_atoms, &
     746             :                                            mm_charges=mm_charges, &
     747             :                                            mm_atom_index=mm_atom_index, &
     748             :                                            mm_particles=mm_particles, &
     749             :                                            para_env=para_env, &
     750             :                                            coarser_grid_level=coarser_grid, &
     751             :                                            Forces=Forces, &
     752             :                                            potentials=potentials, &
     753             :                                            aug_pools=aug_pools, &
     754             :                                            mm_cell=mm_cell, &
     755             :                                            dOmmOqm=dOmmOqm, &
     756             :                                            iw=iw, &
     757             :                                            par_scheme=par_scheme, &
     758             :                                            qmmm_spherical_cutoff=qmmm_spherical_cutoff, &
     759         332 :                                            shells=shells)
     760             :       END IF
     761         380 :       CALL timestop(handle2)
     762         380 :       CALL timestop(handle)
     763         380 :    END SUBROUTINE qmmm_force_with_gaussian_low
     764             : 
     765             : ! **************************************************************************************************
     766             : !> \brief Evaluates the contribution to the forces due to the Long Range
     767             : !>      part of the QM/MM potential computed collocating the Electrostatic
     768             : !>      Gaussian Potential.
     769             : !> \param pgfs ...
     770             : !> \param cgrid ...
     771             : !> \param num_mm_atoms ...
     772             : !> \param mm_charges ...
     773             : !> \param mm_atom_index ...
     774             : !> \param mm_particles ...
     775             : !> \param para_env ...
     776             : !> \param coarser_grid_level ...
     777             : !> \param Forces ...
     778             : !> \param per_potentials ...
     779             : !> \param aug_pools ...
     780             : !> \param mm_cell ...
     781             : !> \param dOmmOqm ...
     782             : !> \param iw ...
     783             : !> \param par_scheme ...
     784             : !> \param qmmm_spherical_cutoff ...
     785             : !> \param shells ...
     786             : !> \par History
     787             : !>      08.2004 created [tlaino]
     788             : !> \author Teodoro Laino
     789             : ! **************************************************************************************************
     790          48 :    SUBROUTINE qmmm_forces_with_gaussian_LG(pgfs, cgrid, num_mm_atoms, mm_charges, mm_atom_index, &
     791             :                                            mm_particles, para_env, coarser_grid_level, Forces, per_potentials, &
     792             :                                            aug_pools, mm_cell, dOmmOqm, iw, par_scheme, qmmm_spherical_cutoff, shells)
     793             :       TYPE(qmmm_gaussian_p_type), DIMENSION(:), POINTER  :: pgfs
     794             :       TYPE(pw_r3d_rs_type), INTENT(IN)                   :: cgrid
     795             :       INTEGER, INTENT(IN)                                :: num_mm_atoms
     796             :       REAL(KIND=dp), DIMENSION(:), POINTER               :: mm_charges
     797             :       INTEGER, DIMENSION(:), POINTER                     :: mm_atom_index
     798             :       TYPE(particle_type), DIMENSION(:), POINTER         :: mm_particles
     799             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     800             :       INTEGER, INTENT(IN)                                :: coarser_grid_level
     801             :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: Forces
     802             :       TYPE(qmmm_per_pot_p_type), DIMENSION(:), POINTER   :: per_potentials
     803             :       TYPE(pw_pool_p_type), DIMENSION(:), POINTER        :: aug_pools
     804             :       TYPE(cell_type), POINTER                           :: mm_cell
     805             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: dOmmOqm
     806             :       INTEGER, INTENT(IN)                                :: iw, par_scheme
     807             :       REAL(KIND=dp), DIMENSION(2), INTENT(IN)            :: qmmm_spherical_cutoff
     808             :       LOGICAL                                            :: shells
     809             : 
     810             :       CHARACTER(len=*), PARAMETER :: routineN = 'qmmm_forces_with_gaussian_LG'
     811             : 
     812             :       INTEGER :: handle, i, ii1, ii2, ii3, ii4, ij1, ij2, ij3, ij4, ik1, ik2, ik3, ik4, Imm, &
     813             :          IndMM, IRadTyp, ivec(3), j, k, LIndMM, my_i, my_j, my_k, myind, npts(3)
     814             :       INTEGER, DIMENSION(2, 3)                           :: bo, gbo
     815             :       REAL(KIND=dp) :: a1, a2, a3, abc_X(4, 4), abc_X_Y(4), b1, b2, b3, c1, c2, c3, d1, d2, d3, &
     816             :          dr1, dr1c, dr1i, dr2, dr2c, dr2i, dr3, dr3c, dr3i, dvol, e1, e2, e3, f1, f2, f3, fac, &
     817             :          ft1, ft2, ft3, g1, g2, g3, h1, h2, h3, p1, p2, p3, q1, q2, q3, qt, r1, r2, r3, rt1, rt2, &
     818             :          rt3, rv1, rv2, rv3, s1, s1d, s1o, s2, s2d, s2o, s3, s3d, s3o, s4, s4d, s4o, &
     819             :          sph_chrg_factor, t1, t1d, t1o, t2, t2d, t2o, t3, t3d, t3o, t4, t4d, t4o, u1, u2, u3, v1, &
     820             :          v1d, v1o, v2, v2d, v2o, v3, v3d, v3o, v4, v4d, v4o, xd1, xd2, xd3, xs1, xs2, xs3
     821          48 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: LForces
     822             :       REAL(KIND=dp), DIMENSION(3)                        :: ra, val, vec
     823          48 :       REAL(KIND=dp), DIMENSION(:, :, :), POINTER         :: grid, grid2
     824             :       TYPE(pw_r3d_rs_type), POINTER                      :: pw
     825             :       TYPE(qmmm_per_pot_type), POINTER                   :: per_pot
     826             : 
     827          48 :       CALL timeset(routineN, handle)
     828          48 :       NULLIFY (grid)
     829         144 :       ALLOCATE (LForces(3, num_mm_atoms))
     830        1888 :       LForces = 0.0_dp
     831          48 :       dr1c = cgrid%pw_grid%dr(1)
     832          48 :       dr2c = cgrid%pw_grid%dr(2)
     833          48 :       dr3c = cgrid%pw_grid%dr(3)
     834          48 :       dvol = cgrid%pw_grid%dvol
     835         480 :       gbo = cgrid%pw_grid%bounds
     836         480 :       bo = cgrid%pw_grid%bounds_local
     837          48 :       grid => cgrid%array
     838          48 :       IF (par_scheme == do_par_atom) myind = 0
     839         124 :       Radius: DO IRadTyp = 1, SIZE(pgfs)
     840          76 :          per_pot => per_potentials(IRadTyp)%pot
     841          76 :          pw => per_pot%TabLR
     842          76 :          grid2 => pw%array(:, :, :)
     843         304 :          npts = pw%pw_grid%npts
     844          76 :          dr1 = pw%pw_grid%dr(1)
     845          76 :          dr2 = pw%pw_grid%dr(2)
     846          76 :          dr3 = pw%pw_grid%dr(3)
     847          76 :          dr1i = 1.0_dp/dr1
     848          76 :          dr2i = 1.0_dp/dr2
     849          76 :          dr3i = 1.0_dp/dr3
     850             : 
     851             :          !$OMP PARALLEL DO DEFAULT(NONE) &
     852             :          !$OMP SHARED(bo, grid, grid2, pw, npts, gbo, per_pot, mm_atom_index) &
     853             :          !$OMP SHARED(dr1, dr2, dr3, dr1i, dr2i, dr3i, dr1c, dr2c, dr3c, par_scheme, mm_charges) &
     854             :          !$OMP SHARED(mm_cell, dOmmOqm, dvol, shells, para_env, IRadTyp) &
     855             :          !$OMP SHARED(qmmm_spherical_cutoff, mm_particles, Forces, LForces) &
     856             :          !$OMP PRIVATE(qt, Imm, LIndMM, IndMM, sph_chrg_factor, ra, myind) &
     857             :          !$OMP PRIVATE(rt1, rt2, rt3, ft1, ft2, ft3, my_k, my_j, my_i, xs3, xs2, xs1) &
     858             :          !$OMP PRIVATE(rv3, rv2, rv1, vec, ivec, ik1, ik2, ik3, ik4, xd3, xd2, xd1) &
     859             :          !$OMP PRIVATE(p1, p2, p3, q1, q2, q3, r1, r2, r3, u1, u2, u3, v1o, v2o, v3o, v4o) &
     860             :          !$OMP PRIVATE(v1d, v2d, v3d, v4d, ij1, ij2, ij3, ij4, e1, e2, e3, f1, f2, f3) &
     861             :          !$OMP PRIVATE(g1, g2, g3, h1, h2, h3, s1o, s2o, s3o, s4o, s1d, s2d, s3d, s4d) &
     862             :          !$OMP PRIVATE(ii1, ii2, ii3, ii4, a1, a2, a3, b1, b2, b3, c1, c2, c3, d1, d2, d3) &
     863             :          !$OMP PRIVATE(t1o, t2o, t3o, t4o, t1d, t2d, t3d, t4d, t1, t2, t3, t4, s1, s2, s3, s4) &
     864         124 :          !$OMP PRIVATE(v1, v2, v3, v4, abc_x, abc_x_y, val, fac)
     865             :          Atoms: DO Imm = 1, SIZE(per_pot%mm_atom_index)
     866             :             IF (par_scheme == do_par_atom) THEN
     867             :                myind = Imm + (IRadTyp - 1)*SIZE(per_pot%mm_atom_index)
     868             :                IF (MOD(myind, para_env%num_pe) /= para_env%mepos) CYCLE
     869             :             END IF
     870             :             LIndMM = per_pot%mm_atom_index(Imm)
     871             :             IndMM = mm_atom_index(LIndMM)
     872             :             IF (shells) THEN
     873             :                ra(:) = pbc(mm_particles(LIndMM)%r - dOmmOqm, mm_cell) + dOmmOqm
     874             :             ELSE
     875             :                ra(:) = pbc(mm_particles(IndMM)%r - dOmmOqm, mm_cell) + dOmmOqm
     876             :             END IF
     877             :             qt = mm_charges(LIndMM)
     878             :             ! Possible Spherical Cutoff
     879             :             IF (qmmm_spherical_cutoff(1) > 0.0_dp) THEN
     880             :                CALL spherical_cutoff_factor(qmmm_spherical_cutoff, ra, sph_chrg_factor)
     881             :                qt = qt*sph_chrg_factor
     882             :             END IF
     883             :             IF (ABS(qt) <= EPSILON(0.0_dp)) CYCLE Atoms
     884             :             rt1 = ra(1)
     885             :             rt2 = ra(2)
     886             :             rt3 = ra(3)
     887             :             ft1 = 0.0_dp
     888             :             ft2 = 0.0_dp
     889             :             ft3 = 0.0_dp
     890             :             LoopOnGrid: DO k = bo(1, 3), bo(2, 3)
     891             :                my_k = k - gbo(1, 3)
     892             :                xs3 = REAL(my_k, dp)*dr3c
     893             :                my_j = bo(1, 2) - gbo(1, 2)
     894             :                xs2 = REAL(my_j, dp)*dr2c
     895             :                rv3 = rt3 - xs3
     896             :                vec(3) = rv3
     897             :                ivec(3) = FLOOR(vec(3)/pw%pw_grid%dr(3))
     898             :                ik1 = MODULO(ivec(3) - 1, npts(3)) + 1
     899             :                ik2 = MODULO(ivec(3), npts(3)) + 1
     900             :                ik3 = MODULO(ivec(3) + 1, npts(3)) + 1
     901             :                ik4 = MODULO(ivec(3) + 2, npts(3)) + 1
     902             :                xd3 = (vec(3)/dr3) - REAL(ivec(3), kind=dp)
     903             :                p1 = 3.0_dp + xd3
     904             :                p2 = p1*p1
     905             :                p3 = p2*p1
     906             :                q1 = 2.0_dp + xd3
     907             :                q2 = q1*q1
     908             :                q3 = q2*q1
     909             :                r1 = 1.0_dp + xd3
     910             :                r2 = r1*r1
     911             :                r3 = r2*r1
     912             :                u1 = xd3
     913             :                u2 = u1*u1
     914             :                u3 = u2*u1
     915             :                v1o = 1.0_dp/6.0_dp*(64.0_dp - 48.0_dp*p1 + 12.0_dp*p2 - p3)
     916             :                v2o = -22.0_dp/3.0_dp + 10.0_dp*q1 - 4.0_dp*q2 + 0.5_dp*q3
     917             :                v3o = 2.0_dp/3.0_dp - 2.0_dp*r1 + 2.0_dp*r2 - 0.5_dp*r3
     918             :                v4o = 1.0_dp/6.0_dp*u3
     919             :                v1d = -8.0_dp + 4.0_dp*p1 - 0.5_dp*p2
     920             :                v2d = 10.0_dp - 8.0_dp*q1 + 1.5_dp*q2
     921             :                v3d = -2.0_dp + 4.0_dp*r1 - 1.5_dp*r2
     922             :                v4d = 0.5_dp*u2
     923             :                DO j = bo(1, 2), bo(2, 2)
     924             :                   my_i = bo(1, 1) - gbo(1, 1)
     925             :                   xs1 = REAL(my_i, dp)*dr1c
     926             :                   rv2 = rt2 - xs2
     927             :                   vec(2) = rv2
     928             :                   ivec(2) = FLOOR(vec(2)/pw%pw_grid%dr(2))
     929             :                   ij1 = MODULO(ivec(2) - 1, npts(2)) + 1
     930             :                   ij2 = MODULO(ivec(2), npts(2)) + 1
     931             :                   ij3 = MODULO(ivec(2) + 1, npts(2)) + 1
     932             :                   ij4 = MODULO(ivec(2) + 2, npts(2)) + 1
     933             :                   xd2 = (vec(2)/dr2) - REAL(ivec(2), kind=dp)
     934             :                   e1 = 3.0_dp + xd2
     935             :                   e2 = e1*e1
     936             :                   e3 = e2*e1
     937             :                   f1 = 2.0_dp + xd2
     938             :                   f2 = f1*f1
     939             :                   f3 = f2*f1
     940             :                   g1 = 1.0_dp + xd2
     941             :                   g2 = g1*g1
     942             :                   g3 = g2*g1
     943             :                   h1 = xd2
     944             :                   h2 = h1*h1
     945             :                   h3 = h2*h1
     946             :                   s1o = 1.0_dp/6.0_dp*(64.0_dp - 48.0_dp*e1 + 12.0_dp*e2 - e3)
     947             :                   s2o = -22.0_dp/3.0_dp + 10.0_dp*f1 - 4.0_dp*f2 + 0.5_dp*f3
     948             :                   s3o = 2.0_dp/3.0_dp - 2.0_dp*g1 + 2.0_dp*g2 - 0.5_dp*g3
     949             :                   s4o = 1.0_dp/6.0_dp*h3
     950             :                   s1d = -8.0_dp + 4.0_dp*e1 - 0.5_dp*e2
     951             :                   s2d = 10.0_dp - 8.0_dp*f1 + 1.5_dp*f2
     952             :                   s3d = -2.0_dp + 4.0_dp*g1 - 1.5_dp*g2
     953             :                   s4d = 0.5_dp*h2
     954             :                   DO i = bo(1, 1), bo(2, 1)
     955             :                      rv1 = rt1 - xs1
     956             :                      vec(1) = rv1
     957             :                      ivec(1) = FLOOR(vec(1)/pw%pw_grid%dr(1))
     958             :                      ii1 = MODULO(ivec(1) - 1, npts(1)) + 1
     959             :                      ii2 = MODULO(ivec(1), npts(1)) + 1
     960             :                      ii3 = MODULO(ivec(1) + 1, npts(1)) + 1
     961             :                      ii4 = MODULO(ivec(1) + 2, npts(1)) + 1
     962             :                      xd1 = (vec(1)/dr1) - REAL(ivec(1), kind=dp)
     963             :                      a1 = 3.0_dp + xd1
     964             :                      a2 = a1*a1
     965             :                      a3 = a2*a1
     966             :                      b1 = 2.0_dp + xd1
     967             :                      b2 = b1*b1
     968             :                      b3 = b2*b1
     969             :                      c1 = 1.0_dp + xd1
     970             :                      c2 = c1*c1
     971             :                      c3 = c2*c1
     972             :                      d1 = xd1
     973             :                      d2 = d1*d1
     974             :                      d3 = d2*d1
     975             :                      t1o = 1.0_dp/6.0_dp*(64.0_dp - 48.0_dp*a1 + 12.0_dp*a2 - a3)
     976             :                      t2o = -22.0_dp/3.0_dp + 10.0_dp*b1 - 4.0_dp*b2 + 0.5_dp*b3
     977             :                      t3o = 2.0_dp/3.0_dp - 2.0_dp*c1 + 2.0_dp*c2 - 0.5_dp*c3
     978             :                      t4o = 1.0_dp/6.0_dp*d3
     979             :                      t1d = -8.0_dp + 4.0_dp*a1 - 0.5_dp*a2
     980             :                      t2d = 10.0_dp - 8.0_dp*b1 + 1.5_dp*b2
     981             :                      t3d = -2.0_dp + 4.0_dp*c1 - 1.5_dp*c2
     982             :                      t4d = 0.5_dp*d2
     983             : 
     984             :                      t1 = t1d*dr1i
     985             :                      t2 = t2d*dr1i
     986             :                      t3 = t3d*dr1i
     987             :                      t4 = t4d*dr1i
     988             :                      s1 = s1o
     989             :                      s2 = s2o
     990             :                      s3 = s3o
     991             :                      s4 = s4o
     992             :                      v1 = v1o
     993             :                      v2 = v2o
     994             :                      v3 = v3o
     995             :                      v4 = v4o
     996             : 
     997             :                  abc_X(1, 1) = grid2(ii1, ij1, ik1)*v1 + grid2(ii1, ij1, ik2)*v2 + grid2(ii1, ij1, ik3)*v3 + grid2(ii1, ij1, ik4)*v4
     998             :                  abc_X(2, 1) = grid2(ii2, ij1, ik1)*v1 + grid2(ii2, ij1, ik2)*v2 + grid2(ii2, ij1, ik3)*v3 + grid2(ii2, ij1, ik4)*v4
     999             :                  abc_X(3, 1) = grid2(ii3, ij1, ik1)*v1 + grid2(ii3, ij1, ik2)*v2 + grid2(ii3, ij1, ik3)*v3 + grid2(ii3, ij1, ik4)*v4
    1000             :                  abc_X(4, 1) = grid2(ii4, ij1, ik1)*v1 + grid2(ii4, ij1, ik2)*v2 + grid2(ii4, ij1, ik3)*v3 + grid2(ii4, ij1, ik4)*v4
    1001             :                      abc_X_Y(1) = abc_X(1, 1)*t1 + abc_X(2, 1)*t2 + abc_X(3, 1)*t3 + abc_X(4, 1)*t4
    1002             : 
    1003             :                  abc_X(1, 2) = grid2(ii1, ij2, ik1)*v1 + grid2(ii1, ij2, ik2)*v2 + grid2(ii1, ij2, ik3)*v3 + grid2(ii1, ij2, ik4)*v4
    1004             :                  abc_X(2, 2) = grid2(ii2, ij2, ik1)*v1 + grid2(ii2, ij2, ik2)*v2 + grid2(ii2, ij2, ik3)*v3 + grid2(ii2, ij2, ik4)*v4
    1005             :                  abc_X(3, 2) = grid2(ii3, ij2, ik1)*v1 + grid2(ii3, ij2, ik2)*v2 + grid2(ii3, ij2, ik3)*v3 + grid2(ii3, ij2, ik4)*v4
    1006             :                  abc_X(4, 2) = grid2(ii4, ij2, ik1)*v1 + grid2(ii4, ij2, ik2)*v2 + grid2(ii4, ij2, ik3)*v3 + grid2(ii4, ij2, ik4)*v4
    1007             :                      abc_X_Y(2) = abc_X(1, 2)*t1 + abc_X(2, 2)*t2 + abc_X(3, 2)*t3 + abc_X(4, 2)*t4
    1008             : 
    1009             :                  abc_X(1, 3) = grid2(ii1, ij3, ik1)*v1 + grid2(ii1, ij3, ik2)*v2 + grid2(ii1, ij3, ik3)*v3 + grid2(ii1, ij3, ik4)*v4
    1010             :                  abc_X(2, 3) = grid2(ii2, ij3, ik1)*v1 + grid2(ii2, ij3, ik2)*v2 + grid2(ii2, ij3, ik3)*v3 + grid2(ii2, ij3, ik4)*v4
    1011             :                  abc_X(3, 3) = grid2(ii3, ij3, ik1)*v1 + grid2(ii3, ij3, ik2)*v2 + grid2(ii3, ij3, ik3)*v3 + grid2(ii3, ij3, ik4)*v4
    1012             :                  abc_X(4, 3) = grid2(ii4, ij3, ik1)*v1 + grid2(ii4, ij3, ik2)*v2 + grid2(ii4, ij3, ik3)*v3 + grid2(ii4, ij3, ik4)*v4
    1013             :                      abc_X_Y(3) = abc_X(1, 3)*t1 + abc_X(2, 3)*t2 + abc_X(3, 3)*t3 + abc_X(4, 3)*t4
    1014             : 
    1015             :                  abc_X(1, 4) = grid2(ii1, ij4, ik1)*v1 + grid2(ii1, ij4, ik2)*v2 + grid2(ii1, ij4, ik3)*v3 + grid2(ii1, ij4, ik4)*v4
    1016             :                  abc_X(2, 4) = grid2(ii2, ij4, ik1)*v1 + grid2(ii2, ij4, ik2)*v2 + grid2(ii2, ij4, ik3)*v3 + grid2(ii2, ij4, ik4)*v4
    1017             :                  abc_X(3, 4) = grid2(ii3, ij4, ik1)*v1 + grid2(ii3, ij4, ik2)*v2 + grid2(ii3, ij4, ik3)*v3 + grid2(ii3, ij4, ik4)*v4
    1018             :                  abc_X(4, 4) = grid2(ii4, ij4, ik1)*v1 + grid2(ii4, ij4, ik2)*v2 + grid2(ii4, ij4, ik3)*v3 + grid2(ii4, ij4, ik4)*v4
    1019             :                      abc_X_Y(4) = abc_X(1, 4)*t1 + abc_X(2, 4)*t2 + abc_X(3, 4)*t3 + abc_X(4, 4)*t4
    1020             : 
    1021             :                      val(1) = abc_X_Y(1)*s1 + abc_X_Y(2)*s2 + abc_X_Y(3)*s3 + abc_X_Y(4)*s4
    1022             : 
    1023             :                      t1 = t1o
    1024             :                      t2 = t2o
    1025             :                      t3 = t3o
    1026             :                      t4 = t4o
    1027             :                      s1 = s1d*dr2i
    1028             :                      s2 = s2d*dr2i
    1029             :                      s3 = s3d*dr2i
    1030             :                      s4 = s4d*dr2i
    1031             : 
    1032             :                      abc_X_Y(1) = abc_X(1, 1)*t1 + abc_X(2, 1)*t2 + abc_X(3, 1)*t3 + abc_X(4, 1)*t4
    1033             :                      abc_X_Y(2) = abc_X(1, 2)*t1 + abc_X(2, 2)*t2 + abc_X(3, 2)*t3 + abc_X(4, 2)*t4
    1034             :                      abc_X_Y(3) = abc_X(1, 3)*t1 + abc_X(2, 3)*t2 + abc_X(3, 3)*t3 + abc_X(4, 3)*t4
    1035             :                      abc_X_Y(4) = abc_X(1, 4)*t1 + abc_X(2, 4)*t2 + abc_X(3, 4)*t3 + abc_X(4, 4)*t4
    1036             : 
    1037             :                      val(2) = abc_X_Y(1)*s1 + abc_X_Y(2)*s2 + abc_X_Y(3)*s3 + abc_X_Y(4)*s4
    1038             : 
    1039             :                      t1 = t1o
    1040             :                      t2 = t2o
    1041             :                      t3 = t3o
    1042             :                      t4 = t4o
    1043             :                      s1 = s1o
    1044             :                      s2 = s2o
    1045             :                      s3 = s3o
    1046             :                      s4 = s4o
    1047             :                      v1 = v1d*dr3i
    1048             :                      v2 = v2d*dr3i
    1049             :                      v3 = v3d*dr3i
    1050             :                      v4 = v4d*dr3i
    1051             : 
    1052             :                  abc_X(1, 1) = grid2(ii1, ij1, ik1)*v1 + grid2(ii1, ij1, ik2)*v2 + grid2(ii1, ij1, ik3)*v3 + grid2(ii1, ij1, ik4)*v4
    1053             :                  abc_X(2, 1) = grid2(ii2, ij1, ik1)*v1 + grid2(ii2, ij1, ik2)*v2 + grid2(ii2, ij1, ik3)*v3 + grid2(ii2, ij1, ik4)*v4
    1054             :                  abc_X(3, 1) = grid2(ii3, ij1, ik1)*v1 + grid2(ii3, ij1, ik2)*v2 + grid2(ii3, ij1, ik3)*v3 + grid2(ii3, ij1, ik4)*v4
    1055             :                  abc_X(4, 1) = grid2(ii4, ij1, ik1)*v1 + grid2(ii4, ij1, ik2)*v2 + grid2(ii4, ij1, ik3)*v3 + grid2(ii4, ij1, ik4)*v4
    1056             :                      abc_X_Y(1) = abc_X(1, 1)*t1 + abc_X(2, 1)*t2 + abc_X(3, 1)*t3 + abc_X(4, 1)*t4
    1057             :                  abc_X(1, 2) = grid2(ii1, ij2, ik1)*v1 + grid2(ii1, ij2, ik2)*v2 + grid2(ii1, ij2, ik3)*v3 + grid2(ii1, ij2, ik4)*v4
    1058             :                  abc_X(2, 2) = grid2(ii2, ij2, ik1)*v1 + grid2(ii2, ij2, ik2)*v2 + grid2(ii2, ij2, ik3)*v3 + grid2(ii2, ij2, ik4)*v4
    1059             :                  abc_X(3, 2) = grid2(ii3, ij2, ik1)*v1 + grid2(ii3, ij2, ik2)*v2 + grid2(ii3, ij2, ik3)*v3 + grid2(ii3, ij2, ik4)*v4
    1060             :                  abc_X(4, 2) = grid2(ii4, ij2, ik1)*v1 + grid2(ii4, ij2, ik2)*v2 + grid2(ii4, ij2, ik3)*v3 + grid2(ii4, ij2, ik4)*v4
    1061             :                      abc_X_Y(2) = abc_X(1, 2)*t1 + abc_X(2, 2)*t2 + abc_X(3, 2)*t3 + abc_X(4, 2)*t4
    1062             :                  abc_X(1, 3) = grid2(ii1, ij3, ik1)*v1 + grid2(ii1, ij3, ik2)*v2 + grid2(ii1, ij3, ik3)*v3 + grid2(ii1, ij3, ik4)*v4
    1063             :                  abc_X(2, 3) = grid2(ii2, ij3, ik1)*v1 + grid2(ii2, ij3, ik2)*v2 + grid2(ii2, ij3, ik3)*v3 + grid2(ii2, ij3, ik4)*v4
    1064             :                  abc_X(3, 3) = grid2(ii3, ij3, ik1)*v1 + grid2(ii3, ij3, ik2)*v2 + grid2(ii3, ij3, ik3)*v3 + grid2(ii3, ij3, ik4)*v4
    1065             :                  abc_X(4, 3) = grid2(ii4, ij3, ik1)*v1 + grid2(ii4, ij3, ik2)*v2 + grid2(ii4, ij3, ik3)*v3 + grid2(ii4, ij3, ik4)*v4
    1066             :                      abc_X_Y(3) = abc_X(1, 3)*t1 + abc_X(2, 3)*t2 + abc_X(3, 3)*t3 + abc_X(4, 3)*t4
    1067             :                  abc_X(1, 4) = grid2(ii1, ij4, ik1)*v1 + grid2(ii1, ij4, ik2)*v2 + grid2(ii1, ij4, ik3)*v3 + grid2(ii1, ij4, ik4)*v4
    1068             :                  abc_X(2, 4) = grid2(ii2, ij4, ik1)*v1 + grid2(ii2, ij4, ik2)*v2 + grid2(ii2, ij4, ik3)*v3 + grid2(ii2, ij4, ik4)*v4
    1069             :                  abc_X(3, 4) = grid2(ii3, ij4, ik1)*v1 + grid2(ii3, ij4, ik2)*v2 + grid2(ii3, ij4, ik3)*v3 + grid2(ii3, ij4, ik4)*v4
    1070             :                  abc_X(4, 4) = grid2(ii4, ij4, ik1)*v1 + grid2(ii4, ij4, ik2)*v2 + grid2(ii4, ij4, ik3)*v3 + grid2(ii4, ij4, ik4)*v4
    1071             :                      abc_X_Y(4) = abc_X(1, 4)*t1 + abc_X(2, 4)*t2 + abc_X(3, 4)*t3 + abc_X(4, 4)*t4
    1072             : 
    1073             :                      val(3) = abc_X_Y(1)*s1 + abc_X_Y(2)*s2 + abc_X_Y(3)*s3 + abc_X_Y(4)*s4
    1074             : 
    1075             :                      fac = grid(i, j, k)
    1076             :                      ft1 = ft1 + val(1)*fac
    1077             :                      ft2 = ft2 + val(2)*fac
    1078             :                      ft3 = ft3 + val(3)*fac
    1079             :                      xs1 = xs1 + dr1c
    1080             :                   END DO
    1081             :                   xs2 = xs2 + dr2c
    1082             :                END DO
    1083             :             END DO LoopOnGrid
    1084             :             qt = -qt*dvol
    1085             :             LForces(1, LindMM) = ft1*qt
    1086             :             LForces(2, LindMM) = ft2*qt
    1087             :             LForces(3, LindMM) = ft3*qt
    1088             : 
    1089             :             Forces(1, LIndMM) = Forces(1, LIndMM) + LForces(1, LindMM)
    1090             :             Forces(2, LIndMM) = Forces(2, LIndMM) + LForces(2, LindMM)
    1091             :             Forces(3, LIndMM) = Forces(3, LIndMM) + LForces(3, LindMM)
    1092             :          END DO Atoms
    1093             :          !$OMP END PARALLEL DO
    1094             :       END DO Radius
    1095             :       !
    1096             :       ! Debug Statement
    1097             :       !
    1098             :       IF (debug_this_module) THEN
    1099             :          CALL debug_qmmm_forces_with_gauss_LG(pgfs=pgfs, &
    1100             :                                               aug_pools=aug_pools, &
    1101             :                                               rho=cgrid, &
    1102             :                                               num_mm_atoms=num_mm_atoms, &
    1103             :                                               mm_charges=mm_charges, &
    1104             :                                               mm_atom_index=mm_atom_index, &
    1105             :                                               mm_particles=mm_particles, &
    1106             :                                               coarser_grid_level=coarser_grid_level, &
    1107             :                                               debug_force=LForces, &
    1108             :                                               per_potentials=per_potentials, &
    1109             :                                               para_env=para_env, &
    1110             :                                               mm_cell=mm_cell, &
    1111             :                                               dOmmOqm=dOmmOqm, &
    1112             :                                               iw=iw, &
    1113             :                                               par_scheme=par_scheme, &
    1114             :                                               qmmm_spherical_cutoff=qmmm_spherical_cutoff, &
    1115             :                                               shells=shells)
    1116             :       END IF
    1117          48 :       DEALLOCATE (LForces)
    1118          48 :       CALL timestop(handle)
    1119          96 :    END SUBROUTINE qmmm_forces_with_gaussian_LG
    1120             : 
    1121             : ! **************************************************************************************************
    1122             : !> \brief Evaluates the contribution to the forces due to the Long Range
    1123             : !>      part of the QM/MM potential computed collocating the Electrostatic
    1124             : !>      Gaussian Potential.
    1125             : !> \param pgfs ...
    1126             : !> \param cgrid ...
    1127             : !> \param num_mm_atoms ...
    1128             : !> \param mm_charges ...
    1129             : !> \param mm_atom_index ...
    1130             : !> \param mm_particles ...
    1131             : !> \param para_env ...
    1132             : !> \param coarser_grid_level ...
    1133             : !> \param Forces ...
    1134             : !> \param potentials ...
    1135             : !> \param aug_pools ...
    1136             : !> \param mm_cell ...
    1137             : !> \param dOmmOqm ...
    1138             : !> \param iw ...
    1139             : !> \param par_scheme ...
    1140             : !> \param qmmm_spherical_cutoff ...
    1141             : !> \param shells ...
    1142             : !> \par History
    1143             : !>      08.2004 created [tlaino]
    1144             : !> \author Teodoro Laino
    1145             : ! **************************************************************************************************
    1146         332 :    SUBROUTINE qmmm_forces_with_gaussian_LR(pgfs, cgrid, num_mm_atoms, mm_charges, mm_atom_index, &
    1147             :                                            mm_particles, para_env, coarser_grid_level, Forces, potentials, &
    1148             :                                            aug_pools, mm_cell, dOmmOqm, iw, par_scheme, qmmm_spherical_cutoff, shells)
    1149             :       TYPE(qmmm_gaussian_p_type), DIMENSION(:), POINTER  :: pgfs
    1150             :       TYPE(pw_r3d_rs_type), INTENT(IN)                   :: cgrid
    1151             :       INTEGER, INTENT(IN)                                :: num_mm_atoms
    1152             :       REAL(KIND=dp), DIMENSION(:), POINTER               :: mm_charges
    1153             :       INTEGER, DIMENSION(:), POINTER                     :: mm_atom_index
    1154             :       TYPE(particle_type), DIMENSION(:), POINTER         :: mm_particles
    1155             :       TYPE(mp_para_env_type), POINTER                    :: para_env
    1156             :       INTEGER, INTENT(IN)                                :: coarser_grid_level
    1157             :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: Forces
    1158             :       TYPE(qmmm_pot_p_type), DIMENSION(:), POINTER       :: Potentials
    1159             :       TYPE(pw_pool_p_type), DIMENSION(:), POINTER        :: aug_pools
    1160             :       TYPE(cell_type), POINTER                           :: mm_cell
    1161             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: dOmmOqm
    1162             :       INTEGER, INTENT(IN)                                :: iw, par_scheme
    1163             :       REAL(KIND=dp), DIMENSION(2), INTENT(IN)            :: qmmm_spherical_cutoff
    1164             :       LOGICAL                                            :: shells
    1165             : 
    1166             :       CHARACTER(len=*), PARAMETER :: routineN = 'qmmm_forces_with_gaussian_LR'
    1167             : 
    1168             :       INTEGER                                            :: handle, i, Imm, IndMM, IRadTyp, ix, j, &
    1169             :                                                             k, LIndMM, my_i, my_j, my_k, myind, &
    1170             :                                                             n1, n2, n3
    1171             :       INTEGER, DIMENSION(2, 3)                           :: bo, gbo
    1172             :       REAL(KIND=dp)                                      :: dr1, dr2, dr3, dvol, dx, fac, ft1, ft2, &
    1173             :                                                             ft3, qt, r, r2, rd1, rd2, rd3, rt1, &
    1174             :                                                             rt2, rt3, rv1, rv2, rv3, rx, rx2, &
    1175             :                                                             sph_chrg_factor, Term, xs1, xs2, xs3
    1176         332 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: LForces
    1177             :       REAL(KIND=dp), DIMENSION(3)                        :: ra
    1178         332 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: pot0_2
    1179         332 :       REAL(KIND=dp), DIMENSION(:, :, :), POINTER         :: grid
    1180             :       TYPE(qmmm_pot_type), POINTER                       :: pot
    1181             : 
    1182         332 :       CALL timeset(routineN, handle)
    1183         996 :       ALLOCATE (LForces(3, num_mm_atoms))
    1184       14572 :       LForces = 0.0_dp
    1185         332 :       n1 = cgrid%pw_grid%npts(1)
    1186         332 :       n2 = cgrid%pw_grid%npts(2)
    1187         332 :       n3 = cgrid%pw_grid%npts(3)
    1188         332 :       dr1 = cgrid%pw_grid%dr(1)
    1189         332 :       dr2 = cgrid%pw_grid%dr(2)
    1190         332 :       dr3 = cgrid%pw_grid%dr(3)
    1191         332 :       dvol = cgrid%pw_grid%dvol
    1192        3320 :       gbo = cgrid%pw_grid%bounds
    1193        3320 :       bo = cgrid%pw_grid%bounds_local
    1194         332 :       grid => cgrid%array
    1195         332 :       IF (par_scheme == do_par_atom) myind = 0
    1196         950 :       Radius: DO IRadTyp = 1, SIZE(pgfs)
    1197         618 :          pot => potentials(IRadTyp)%pot
    1198         618 :          dx = Pot%dx
    1199         618 :          pot0_2 => Pot%pot0_2
    1200             :          !$OMP PARALLEL DO DEFAULT(NONE) &
    1201             :          !$OMP SHARED(pot, par_scheme,  para_env, dvol, mm_atom_index, mm_particles, dOmmOqm) &
    1202             :          !$OMP SHARED(mm_cell, mm_charges, dx, LForces, Forces, qmmm_spherical_cutoff, shells, dr1, dr2, dr3, gbo, bo) &
    1203             :          !$OMP SHARED(IRadTyp, pot0_2, grid) &
    1204             :          !$OMP PRIVATE(Imm, myind, ra, LIndMM, IndMM, qt, rt1, rt2, rt3, ft1, ft2, ft3, i, j, k, sph_chrg_factor) &
    1205             :          !$OMP PRIVATE(my_k, my_j, my_i, xs3, xs2, xs1, rv1, rv2, rv3, r, ix, rx, rx2, r2, Term, fac) &
    1206         950 :          !$OMP PRIVATE(rd1, rd2, rd3)
    1207             :          Atoms: DO Imm = 1, SIZE(pot%mm_atom_index)
    1208             :             IF (par_scheme == do_par_atom) THEN
    1209             :                myind = Imm + (IRadTyp - 1)*SIZE(pot%mm_atom_index)
    1210             :                IF (MOD(myind, para_env%num_pe) /= para_env%mepos) CYCLE
    1211             :             END IF
    1212             :             LIndMM = pot%mm_atom_index(Imm)
    1213             :             IndMM = mm_atom_index(LIndMM)
    1214             :             ra(:) = pbc(mm_particles(IndMM)%r - dOmmOqm, mm_cell) + dOmmOqm
    1215             :             IF (shells) &
    1216             :                ra(:) = pbc(mm_particles(LIndMM)%r - dOmmOqm, mm_cell) + dOmmOqm
    1217             :             qt = mm_charges(LIndMM)
    1218             :             ! Possible Spherical Cutoff
    1219             :             IF (qmmm_spherical_cutoff(1) > 0.0_dp) THEN
    1220             :                CALL spherical_cutoff_factor(qmmm_spherical_cutoff, ra, sph_chrg_factor)
    1221             :                qt = qt*sph_chrg_factor
    1222             :             END IF
    1223             :             IF (ABS(qt) <= EPSILON(0.0_dp)) CYCLE Atoms
    1224             :             rt1 = ra(1)
    1225             :             rt2 = ra(2)
    1226             :             rt3 = ra(3)
    1227             :             ft1 = 0.0_dp
    1228             :             ft2 = 0.0_dp
    1229             :             ft3 = 0.0_dp
    1230             :             LoopOnGrid: DO k = bo(1, 3), bo(2, 3)
    1231             :                my_k = k - gbo(1, 3)
    1232             :                xs3 = REAL(my_k, dp)*dr3
    1233             :                my_j = bo(1, 2) - gbo(1, 2)
    1234             :                xs2 = REAL(my_j, dp)*dr2
    1235             :                rv3 = rt3 - xs3
    1236             :                DO j = bo(1, 2), bo(2, 2)
    1237             :                   my_i = bo(1, 1) - gbo(1, 1)
    1238             :                   xs1 = REAL(my_i, dp)*dr1
    1239             :                   rv2 = rt2 - xs2
    1240             :                   DO i = bo(1, 1), bo(2, 1)
    1241             :                      rv1 = rt1 - xs1
    1242             :                      r2 = rv1*rv1 + rv2*rv2 + rv3*rv3
    1243             :                      r = SQRT(r2)
    1244             :                      ix = FLOOR(r/dx) + 1
    1245             :                      rx = (r - REAL(ix - 1, dp)*dx)/dx
    1246             :                      rx2 = rx*rx
    1247             :                      Term = pot0_2(1, ix)*(-6.0_dp*(rx - rx2)) &
    1248             :                             + pot0_2(2, ix)*(1.0_dp - 4.0_dp*rx + 3.0_dp*rx2) &
    1249             :                             + pot0_2(1, ix + 1)*(6.0_dp*(rx - rx2)) &
    1250             :                             + pot0_2(2, ix + 1)*(-2.0_dp*rx + 3.0_dp*rx2)
    1251             :                      fac = grid(i, j, k)*Term
    1252             :                      IF (r == 0.0_dp) THEN
    1253             :                         rd1 = 1.0_dp
    1254             :                         rd2 = 1.0_dp
    1255             :                         rd3 = 1.0_dp
    1256             :                      ELSE
    1257             :                         rd1 = rv1/r
    1258             :                         rd2 = rv2/r
    1259             :                         rd3 = rv3/r
    1260             :                      END IF
    1261             :                      ft1 = ft1 + fac*rd1
    1262             :                      ft2 = ft2 + fac*rd2
    1263             :                      ft3 = ft3 + fac*rd3
    1264             :                      xs1 = xs1 + dr1
    1265             :                   END DO
    1266             :                   xs2 = xs2 + dr2
    1267             :                END DO
    1268             :             END DO LoopOnGrid
    1269             :             qt = -qt*dvol/dx
    1270             :             LForces(1, LindMM) = ft1*qt
    1271             :             LForces(2, LindMM) = ft2*qt
    1272             :             LForces(3, LindMM) = ft3*qt
    1273             : 
    1274             :             Forces(1, LIndMM) = Forces(1, LIndMM) + LForces(1, LindMM)
    1275             :             Forces(2, LIndMM) = Forces(2, LIndMM) + LForces(2, LindMM)
    1276             :             Forces(3, LIndMM) = Forces(3, LIndMM) + LForces(3, LindMM)
    1277             :          END DO Atoms
    1278             :          !$OMP END PARALLEL DO
    1279             :       END DO Radius
    1280             :       !
    1281             :       ! Debug Statement
    1282             :       !
    1283             :       IF (debug_this_module) THEN
    1284             :          CALL debug_qmmm_forces_with_gauss_LR(pgfs=pgfs, &
    1285             :                                               aug_pools=aug_pools, &
    1286             :                                               rho=cgrid, &
    1287             :                                               num_mm_atoms=num_mm_atoms, &
    1288             :                                               mm_charges=mm_charges, &
    1289             :                                               mm_atom_index=mm_atom_index, &
    1290             :                                               mm_particles=mm_particles, &
    1291             :                                               coarser_grid_level=coarser_grid_level, &
    1292             :                                               debug_force=LForces, &
    1293             :                                               potentials=potentials, &
    1294             :                                               para_env=para_env, &
    1295             :                                               mm_cell=mm_cell, &
    1296             :                                               dOmmOqm=dOmmOqm, &
    1297             :                                               iw=iw, &
    1298             :                                               par_scheme=par_scheme, &
    1299             :                                               qmmm_spherical_cutoff=qmmm_spherical_cutoff, &
    1300             :                                               shells=shells)
    1301             :       END IF
    1302             : 
    1303         332 :       DEALLOCATE (LForces)
    1304         332 :       CALL timestop(handle)
    1305         664 :    END SUBROUTINE qmmm_forces_with_gaussian_LR
    1306             : 
    1307             : ! **************************************************************************************************
    1308             : !> \brief Evaluates numerically QM/MM forces and compares them with
    1309             : !>      the analytically computed ones.
    1310             : !>      It is evaluated only when debug_this_module is set to .TRUE.
    1311             : !> \param rho ...
    1312             : !> \param qs_env ...
    1313             : !> \param qmmm_env ...
    1314             : !> \param Analytical_Forces ...
    1315             : !> \param mm_particles ...
    1316             : !> \param mm_atom_index ...
    1317             : !> \param num_mm_atoms ...
    1318             : !> \param interp_section ...
    1319             : !> \param mm_cell ...
    1320             : !> \par History
    1321             : !>      08.2004 created [tlaino]
    1322             : !> \author Teodoro Laino
    1323             : ! **************************************************************************************************
    1324           0 :    SUBROUTINE qmmm_debug_forces(rho, qs_env, qmmm_env, Analytical_Forces, &
    1325             :                                 mm_particles, mm_atom_index, num_mm_atoms, &
    1326             :                                 interp_section, mm_cell)
    1327             :       TYPE(pw_r3d_rs_type), POINTER                      :: rho
    1328             :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1329             :       TYPE(qmmm_env_qm_type), POINTER                    :: qmmm_env
    1330             :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: Analytical_Forces
    1331             :       TYPE(particle_type), DIMENSION(:), POINTER         :: mm_particles
    1332             :       INTEGER, DIMENSION(:), POINTER                     :: mm_atom_index
    1333             :       INTEGER, INTENT(IN)                                :: num_mm_atoms
    1334             :       TYPE(section_vals_type), POINTER                   :: interp_section
    1335             :       TYPE(cell_type), POINTER                           :: mm_cell
    1336             : 
    1337             :       CHARACTER(len=*), PARAMETER                        :: routineN = 'qmmm_debug_forces'
    1338             : 
    1339             :       INTEGER                                            :: handle, I, IndMM, iw, J, K
    1340             :       REAL(KIND=dp)                                      :: Coord_save
    1341             :       REAL(KIND=dp), DIMENSION(2)                        :: energy
    1342             :       REAL(KIND=dp), DIMENSION(3)                        :: Err
    1343           0 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: Num_Forces
    1344             :       TYPE(cp_logger_type), POINTER                      :: logger
    1345             :       TYPE(mp_para_env_type), POINTER                    :: para_env
    1346             :       TYPE(pw_env_type), POINTER                         :: pw_env
    1347           0 :       TYPE(pw_pool_p_type), DIMENSION(:), POINTER        :: pw_pools
    1348             :       TYPE(pw_r3d_rs_type)                               :: v_qmmm_rspace
    1349             :       TYPE(qs_ks_qmmm_env_type), POINTER                 :: ks_qmmm_env_loc
    1350             :       TYPE(section_vals_type), POINTER                   :: input_section, print_section
    1351             : 
    1352           0 :       CALL timeset(routineN, handle)
    1353           0 :       NULLIFY (Num_Forces)
    1354             :       CALL get_qs_env(qs_env=qs_env, &
    1355             :                       pw_env=pw_env, &
    1356             :                       input=input_section, &
    1357           0 :                       para_env=para_env)
    1358             : 
    1359           0 :       print_section => section_vals_get_subs_vals(input_section, "QMMM%PRINT")
    1360           0 :       logger => cp_get_default_logger()
    1361           0 :       iw = cp_print_key_unit_nr(logger, print_section, "PROGRAM_RUN_INFO", extension=".qmmmLog")
    1362           0 :       CALL pw_env_get(pw_env=pw_env, pw_pools=pw_pools)
    1363           0 :       CALL pw_pools(1)%pool%create_pw(v_qmmm_rspace)
    1364           0 :       ALLOCATE (Num_Forces(3, num_mm_atoms))
    1365           0 :       ks_qmmm_env_loc => qs_env%ks_qmmm_env
    1366           0 :       IF (iw > 0) WRITE (iw, '(/A)') "DEBUG SECTION:"
    1367           0 :       Atoms: DO I = 1, num_mm_atoms
    1368           0 :          IndMM = mm_atom_index(I)
    1369           0 :          Coords: DO J = 1, 3
    1370           0 :             Coord_save = mm_particles(IndMM)%r(J)
    1371           0 :             energy = 0.0_dp
    1372           0 :             Diff: DO K = 1, 2
    1373           0 :                mm_particles(IndMM)%r(J) = Coord_save + (-1)**K*Dx
    1374           0 :                CALL pw_zero(v_qmmm_rspace)
    1375           0 :                SELECT CASE (qmmm_env%qmmm_coupl_type)
    1376             :                CASE (do_qmmm_coulomb)
    1377           0 :                   CPABORT("Coulomb QM/MM electrostatic coupling not implemented for GPW/GAPW.")
    1378             :                CASE (do_qmmm_pcharge)
    1379           0 :                   CPABORT("Point Charge  QM/MM electrostatic coupling not implemented for GPW/GAPW.")
    1380             :                CASE (do_qmmm_gauss, do_qmmm_swave)
    1381             :                   CALL qmmm_elec_with_gaussian(qmmm_env=qmmm_env, &
    1382             :                                                v_qmmm=v_qmmm_rspace, &
    1383             :                                                mm_particles=mm_particles, &
    1384             :                                                aug_pools=qmmm_env%aug_pools, &
    1385             :                                                para_env=para_env, &
    1386             :                                                eps_mm_rspace=qmmm_env%eps_mm_rspace, &
    1387             :                                                cube_info=ks_qmmm_env_loc%cube_info, &
    1388             :                                                pw_pools=pw_pools, &
    1389             :                                                auxbas_grid=qmmm_env%gridlevel_info%auxbas_grid, &
    1390             :                                                coarser_grid=qmmm_env%gridlevel_info%coarser_grid, &
    1391             :                                                interp_section=interp_section, &
    1392           0 :                                                mm_cell=mm_cell)
    1393             :                CASE (do_qmmm_none)
    1394           0 :                   CYCLE Diff
    1395             :                CASE DEFAULT
    1396           0 :                   IF (iw > 0) WRITE (iw, '(T3,A)') "Unknown Coupling..."
    1397           0 :                   CPABORT("")
    1398             :                END SELECT
    1399           0 :                energy(K) = pw_integral_ab(rho, v_qmmm_rspace)
    1400             :             END DO Diff
    1401           0 :             IF (iw > 0) THEN
    1402             :                WRITE (iw, '(A,I6,A,I3,A,2F15.9)') &
    1403           0 :                   "DEBUG :: MM Atom = ", IndMM, " Coord = ", J, " Energies (+/-) :: ", energy(2), energy(1)
    1404             :             END IF
    1405           0 :             Num_Forces(J, I) = (energy(2) - energy(1))/(2.0_dp*Dx)
    1406           0 :             mm_particles(IndMM)%r(J) = Coord_save
    1407             :          END DO Coords
    1408             :       END DO Atoms
    1409             : 
    1410           0 :       SELECT CASE (qmmm_env%qmmm_coupl_type)
    1411             :       CASE (do_qmmm_coulomb)
    1412           0 :          CPABORT("Coulomb QM/MM electrostatic coupling not implemented for GPW/GAPW.")
    1413             :       CASE (do_qmmm_pcharge)
    1414           0 :          CPABORT("Point Charge QM/MM electrostatic coupling not implemented for GPW/GAPW.")
    1415             :       CASE (do_qmmm_gauss, do_qmmm_swave)
    1416           0 :          IF (iw > 0) WRITE (iw, '(/A/)') "CHECKING NUMERICAL Vs ANALYTICAL FORCES (Err%):"
    1417           0 :          DO I = 1, num_mm_atoms
    1418           0 :             IndMM = mm_atom_index(I)
    1419           0 :             Err = 0.0_dp
    1420           0 :             DO K = 1, 3
    1421           0 :                IF (ABS(Num_Forces(K, I)) >= 5.0E-5_dp) THEN
    1422           0 :                   Err(K) = (Analytical_Forces(K, I) - Num_Forces(K, I))/Num_Forces(K, I)*100.0_dp
    1423             :                END IF
    1424             :             END DO
    1425           0 :             IF (iw > 0) &
    1426           0 :                WRITE (iw, 100) IndMM, Analytical_Forces(1, I), Num_Forces(1, I), Err(1), &
    1427           0 :                Analytical_Forces(2, I), Num_Forces(2, I), Err(2), &
    1428           0 :                Analytical_Forces(3, I), Num_Forces(3, I), Err(3)
    1429           0 :             CPASSERT(ABS(Err(1)) <= MaxErr)
    1430           0 :             CPASSERT(ABS(Err(2)) <= MaxErr)
    1431           0 :             CPASSERT(ABS(Err(3)) <= MaxErr)
    1432             :          END DO
    1433             :       CASE (do_qmmm_none)
    1434           0 :          IF (iw > 0) WRITE (iw, '(T3,A)') "No QM/MM Derivatives to debug. Just Mechanical Coupling!"
    1435             :       CASE DEFAULT
    1436           0 :          IF (iw > 0) WRITE (iw, '(T3,A)') "Unknown Coupling..."
    1437           0 :          CPABORT("")
    1438             :       END SELECT
    1439           0 :       CALL cp_print_key_finished_output(iw, logger, print_section, "PROGRAM_RUN_INFO")
    1440             : 
    1441           0 :       CALL pw_pools(1)%pool%give_back_pw(v_qmmm_rspace)
    1442           0 :       DEALLOCATE (Num_Forces)
    1443           0 :       CALL timestop(handle)
    1444             : 100   FORMAT(I5, 2F15.9, " ( ", F7.2, " ) ", 2F15.9, " ( ", F7.2, " ) ", 2F15.9, " ( ", F7.2, " ) ")
    1445           0 :    END SUBROUTINE qmmm_debug_forces
    1446             : 
    1447             : ! **************************************************************************************************
    1448             : !> \brief Debugs the integrate_gf_rspace_NoPBC.. It may helps ;-P
    1449             : !> \param ilevel ...
    1450             : !> \param zetp ...
    1451             : !> \param rp ...
    1452             : !> \param W ...
    1453             : !> \param pwgrid ...
    1454             : !> \param cube_info ...
    1455             : !> \param eps_mm_rspace ...
    1456             : !> \param aug_pools ...
    1457             : !> \param debug_force ...
    1458             : !> \param mm_cell ...
    1459             : !> \param auxbas_grid ...
    1460             : !> \param n_rep_real ...
    1461             : !> \param iw ...
    1462             : !> \par History
    1463             : !>      08.2004 created [tlaino]
    1464             : !> \author Teodoro Laino
    1465             : ! **************************************************************************************************
    1466           0 :    SUBROUTINE debug_integrate_gf_rspace_NoPBC(ilevel, zetp, rp, W, pwgrid, cube_info, &
    1467             :                                               eps_mm_rspace, aug_pools, debug_force, &
    1468             :                                               mm_cell, auxbas_grid, n_rep_real, iw)
    1469             :       INTEGER, INTENT(IN)                                :: ilevel
    1470             :       REAL(KIND=dp), INTENT(IN)                          :: zetp
    1471             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: rp
    1472             :       REAL(KIND=dp), INTENT(IN)                          :: W
    1473             :       TYPE(pw_r3d_rs_type), INTENT(IN)                   :: pwgrid
    1474             :       TYPE(cube_info_type), INTENT(IN)                   :: cube_info
    1475             :       REAL(KIND=dp), INTENT(IN)                          :: eps_mm_rspace
    1476             :       TYPE(pw_pool_p_type), DIMENSION(:), POINTER        :: aug_pools
    1477             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: debug_force
    1478             :       TYPE(cell_type), POINTER                           :: mm_cell
    1479             :       INTEGER, INTENT(IN)                                :: auxbas_grid
    1480             :       INTEGER, DIMENSION(3), INTENT(IN)                  :: n_rep_real
    1481             :       INTEGER, INTENT(IN)                                :: iw
    1482             : 
    1483             :       CHARACTER(len=*), PARAMETER :: routineN = 'debug_integrate_gf_rspace_NoPBC'
    1484             : 
    1485             :       INTEGER                                            :: handle, i, igrid, k, ngrids
    1486             :       INTEGER, DIMENSION(2, 3)                           :: bo2
    1487             :       INTEGER, SAVE                                      :: Icount
    1488             :       REAL(KIND=dp), DIMENSION(2)                        :: energy
    1489             :       REAL(KIND=dp), DIMENSION(3)                        :: Err, force, myrp
    1490           0 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: xdat, ydat, zdat
    1491           0 :       TYPE(pw_r3d_rs_type), ALLOCATABLE, DIMENSION(:)    :: grids
    1492             : 
    1493             :       DATA Icount/0/
    1494             :       ! Statements
    1495           0 :       CALL timeset(routineN, handle)
    1496             :       !Statements
    1497           0 :       ngrids = SIZE(aug_pools)
    1498           0 :       CALL pw_pools_create_pws(aug_pools, grids)
    1499           0 :       DO igrid = 1, ngrids
    1500           0 :          CALL pw_zero(grids(igrid))
    1501             :       END DO
    1502           0 :       bo2 = grids(auxbas_grid)%pw_grid%bounds
    1503           0 :       ALLOCATE (xdat(bo2(1, 1):bo2(2, 1)))
    1504           0 :       ALLOCATE (ydat(bo2(1, 2):bo2(2, 2)))
    1505           0 :       ALLOCATE (zdat(bo2(1, 3):bo2(2, 3)))
    1506             : 
    1507           0 :       Icount = Icount + 1
    1508           0 :       DO i = 1, 3
    1509           0 :          DO k = 1, 2
    1510           0 :             myrp = rp
    1511           0 :             myrp(i) = myrp(i) + (-1.0_dp)**k*Dx
    1512           0 :             CALL pw_zero(grids(ilevel))
    1513             :             CALL collocate_gf_rspace_NoPBC(zetp=zetp, &
    1514             :                                            rp=myrp, &
    1515             :                                            scale=-1.0_dp, &
    1516             :                                            W=W, &
    1517             :                                            pwgrid=grids(ilevel), &
    1518             :                                            cube_info=cube_info, &
    1519             :                                            eps_mm_rspace=eps_mm_rspace, &
    1520             :                                            xdat=xdat, &
    1521             :                                            ydat=ydat, &
    1522             :                                            zdat=zdat, &
    1523             :                                            bo2=bo2, &
    1524             :                                            n_rep_real=n_rep_real, &
    1525           0 :                                            mm_cell=mm_cell)
    1526             : 
    1527           0 :             energy(k) = pw_integral_ab(pwgrid, grids(ilevel))
    1528             :          END DO
    1529           0 :          force(i) = (energy(2) - energy(1))/(2.0_dp*Dx)
    1530             :       END DO
    1531           0 :       Err = 0.0_dp
    1532           0 :       IF (ALL(force /= 0.0_dp)) THEN
    1533           0 :          Err(1) = (debug_force(1) - force(1))/force(1)*100.0_dp
    1534           0 :          Err(2) = (debug_force(2) - force(2))/force(2)*100.0_dp
    1535           0 :          Err(3) = (debug_force(3) - force(3))/force(3)*100.0_dp
    1536             :       END IF
    1537           0 :       IF (iw > 0) &
    1538           0 :          WRITE (iw, 100) Icount, debug_force(1), force(1), Err(1), &
    1539           0 :          debug_force(2), force(2), Err(2), &
    1540           0 :          debug_force(3), force(3), Err(3)
    1541           0 :       CPASSERT(ABS(Err(1)) <= MaxErr)
    1542           0 :       CPASSERT(ABS(Err(2)) <= MaxErr)
    1543           0 :       CPASSERT(ABS(Err(3)) <= MaxErr)
    1544             : 
    1545           0 :       IF (ASSOCIATED(xdat)) THEN
    1546           0 :          DEALLOCATE (xdat)
    1547             :       END IF
    1548           0 :       IF (ASSOCIATED(ydat)) THEN
    1549           0 :          DEALLOCATE (ydat)
    1550             :       END IF
    1551           0 :       IF (ASSOCIATED(zdat)) THEN
    1552           0 :          DEALLOCATE (zdat)
    1553             :       END IF
    1554             : 
    1555           0 :       CALL pw_pools_give_back_pws(aug_pools, grids)
    1556           0 :       CALL timestop(handle)
    1557             : 100   FORMAT("Collocation   : ", I5, 2F15.9, " ( ", F7.2, " ) ", 2F15.9, " ( ", F7.2, " ) ", 2F15.9, " ( ", F7.2, " ) ")
    1558           0 :    END SUBROUTINE debug_integrate_gf_rspace_NoPBC
    1559             : 
    1560             : ! **************************************************************************************************
    1561             : !> \brief Debugs qmmm_forces_with_gaussian_LG.. It may helps too ... ;-]
    1562             : !> \param pgfs ...
    1563             : !> \param aug_pools ...
    1564             : !> \param rho ...
    1565             : !> \param mm_charges ...
    1566             : !> \param mm_atom_index ...
    1567             : !> \param mm_particles ...
    1568             : !> \param num_mm_atoms ...
    1569             : !> \param coarser_grid_level ...
    1570             : !> \param per_potentials ...
    1571             : !> \param debug_force ...
    1572             : !> \param para_env ...
    1573             : !> \param mm_cell ...
    1574             : !> \param dOmmOqm ...
    1575             : !> \param iw ...
    1576             : !> \param par_scheme ...
    1577             : !> \param qmmm_spherical_cutoff ...
    1578             : !> \param shells ...
    1579             : !> \par History
    1580             : !>      08.2004 created [tlaino]
    1581             : !> \author Teodoro Laino
    1582             : ! **************************************************************************************************
    1583           0 :    SUBROUTINE debug_qmmm_forces_with_gauss_LG(pgfs, aug_pools, rho, mm_charges, mm_atom_index, &
    1584             :                                               mm_particles, num_mm_atoms, coarser_grid_level, per_potentials, &
    1585           0 :                                              debug_force, para_env, mm_cell, dOmmOqm, iw, par_scheme, qmmm_spherical_cutoff, shells)
    1586             : 
    1587             :       TYPE(qmmm_gaussian_p_type), DIMENSION(:), POINTER  :: pgfs
    1588             :       TYPE(pw_pool_p_type), DIMENSION(:), POINTER        :: aug_pools
    1589             :       TYPE(pw_r3d_rs_type), INTENT(IN)                   :: rho
    1590             :       REAL(KIND=dp), DIMENSION(:), POINTER               :: mm_charges
    1591             :       INTEGER, DIMENSION(:), POINTER                     :: mm_atom_index
    1592             :       TYPE(particle_type), DIMENSION(:), POINTER         :: mm_particles
    1593             :       INTEGER, INTENT(IN)                                :: num_mm_atoms, coarser_grid_level
    1594             :       TYPE(qmmm_per_pot_p_type), DIMENSION(:), POINTER   :: per_potentials
    1595             :       REAL(KIND=dp), DIMENSION(:, :)                     :: debug_force
    1596             :       TYPE(mp_para_env_type), POINTER                    :: para_env
    1597             :       TYPE(cell_type), POINTER                           :: mm_cell
    1598             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: dOmmOqm
    1599             :       INTEGER, INTENT(IN)                                :: iw, par_scheme
    1600             :       REAL(KIND=dp), DIMENSION(2), INTENT(IN)            :: qmmm_spherical_cutoff
    1601             :       LOGICAL                                            :: shells
    1602             : 
    1603             :       CHARACTER(len=*), PARAMETER :: routineN = 'debug_qmmm_forces_with_gauss_LG'
    1604             : 
    1605             :       INTEGER                                            :: handle, I, igrid, IndMM, J, K, ngrids
    1606             :       REAL(KIND=dp)                                      :: Coord_save
    1607             :       REAL(KIND=dp), DIMENSION(2)                        :: energy
    1608             :       REAL(KIND=dp), DIMENSION(3)                        :: Err
    1609             :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: Num_Forces
    1610           0 :       TYPE(pw_r3d_rs_type), ALLOCATABLE, DIMENSION(:)    :: grids
    1611             : 
    1612           0 :       ALLOCATE (Num_Forces(3, num_mm_atoms))
    1613           0 :       CALL timeset(routineN, handle)
    1614           0 :       ngrids = SIZE(aug_pools)
    1615           0 :       CALL pw_pools_create_pws(aug_pools, grids)
    1616           0 :       DO igrid = 1, ngrids
    1617           0 :          CALL pw_zero(grids(igrid))
    1618             :       END DO
    1619           0 :       Atoms: DO I = 1, num_mm_atoms
    1620           0 :          IndMM = mm_atom_index(I)
    1621           0 :          Coords: DO J = 1, 3
    1622           0 :             Coord_save = mm_particles(IndMM)%r(J)
    1623           0 :             energy = 0.0_dp
    1624           0 :             Diff: DO K = 1, 2
    1625           0 :                mm_particles(IndMM)%r(J) = Coord_save + (-1)**K*Dx
    1626           0 :                CALL pw_zero(grids(coarser_grid_level))
    1627             : 
    1628             :                CALL qmmm_elec_with_gaussian_LG(pgfs=pgfs, &
    1629             :                                                cgrid=grids(coarser_grid_level), &
    1630             :                                                mm_charges=mm_charges, &
    1631             :                                                mm_atom_index=mm_atom_index, &
    1632             :                                                mm_particles=mm_particles, &
    1633             :                                                para_env=para_env, &
    1634             :                                                per_potentials=per_potentials, &
    1635             :                                                mm_cell=mm_cell, &
    1636             :                                                dOmmOqm=dOmmOqm, &
    1637             :                                                par_scheme=par_scheme, &
    1638             :                                                qmmm_spherical_cutoff=qmmm_spherical_cutoff, &
    1639           0 :                                                shells=shells)
    1640             : 
    1641           0 :                energy(K) = pw_integral_ab(rho, grids(coarser_grid_level))
    1642             :             END DO Diff
    1643           0 :             IF (iw > 0) &
    1644             :                WRITE (iw, '(A,I6,A,I3,A,2F15.9)') &
    1645           0 :                "DEBUG LR:: MM Atom = ", IndMM, " Coord = ", J, " Energies (+/-) :: ", energy(2), energy(1)
    1646           0 :             Num_Forces(J, I) = (energy(2) - energy(1))/(2.0_dp*Dx)
    1647           0 :             mm_particles(IndMM)%r(J) = Coord_save
    1648             :          END DO Coords
    1649             :       END DO Atoms
    1650             : 
    1651           0 :       DO I = 1, num_mm_atoms
    1652           0 :          IndMM = mm_atom_index(I)
    1653           0 :          Err = 0.0_dp
    1654           0 :          IF (ALL(Num_Forces /= 0.0_dp)) THEN
    1655           0 :             Err(1) = (debug_force(1, I) - Num_Forces(1, I))/Num_Forces(1, I)*100.0_dp
    1656           0 :             Err(2) = (debug_force(2, I) - Num_Forces(2, I))/Num_Forces(2, I)*100.0_dp
    1657           0 :             Err(3) = (debug_force(3, I) - Num_Forces(3, I))/Num_Forces(3, I)*100.0_dp
    1658             :          END IF
    1659           0 :          IF (iw > 0) &
    1660           0 :             WRITE (iw, 100) IndMM, debug_force(1, I), Num_Forces(1, I), Err(1), &
    1661           0 :             debug_force(2, I), Num_Forces(2, I), Err(2), &
    1662           0 :             debug_force(3, I), Num_Forces(3, I), Err(3)
    1663           0 :          CPASSERT(ABS(Err(1)) <= MaxErr)
    1664           0 :          CPASSERT(ABS(Err(2)) <= MaxErr)
    1665           0 :          CPASSERT(ABS(Err(3)) <= MaxErr)
    1666             :       END DO
    1667             : 
    1668           0 :       DEALLOCATE (Num_Forces)
    1669           0 :       CALL pw_pools_give_back_pws(aug_pools, grids)
    1670           0 :       CALL timestop(handle)
    1671             : 100   FORMAT("MM Atom LR    : ", I5, 2F15.9, " ( ", F7.2, " ) ", 2F15.9, " ( ", F7.2, " ) ", 2F15.9, " ( ", F7.2, " ) ")
    1672           0 :    END SUBROUTINE debug_qmmm_forces_with_gauss_LG
    1673             : 
    1674             : ! **************************************************************************************************
    1675             : !> \brief Debugs qmmm_forces_with_gaussian_LR.. It may helps too ... ;-]
    1676             : !> \param pgfs ...
    1677             : !> \param aug_pools ...
    1678             : !> \param rho ...
    1679             : !> \param mm_charges ...
    1680             : !> \param mm_atom_index ...
    1681             : !> \param mm_particles ...
    1682             : !> \param num_mm_atoms ...
    1683             : !> \param coarser_grid_level ...
    1684             : !> \param potentials ...
    1685             : !> \param debug_force ...
    1686             : !> \param para_env ...
    1687             : !> \param mm_cell ...
    1688             : !> \param dOmmOqm ...
    1689             : !> \param iw ...
    1690             : !> \param par_scheme ...
    1691             : !> \param qmmm_spherical_cutoff ...
    1692             : !> \param shells ...
    1693             : !> \par History
    1694             : !>      08.2004 created [tlaino]
    1695             : !> \author Teodoro Laino
    1696             : ! **************************************************************************************************
    1697           0 :    SUBROUTINE debug_qmmm_forces_with_gauss_LR(pgfs, aug_pools, rho, mm_charges, mm_atom_index, &
    1698             :                                               mm_particles, num_mm_atoms, coarser_grid_level, potentials, &
    1699           0 :                                              debug_force, para_env, mm_cell, dOmmOqm, iw, par_scheme, qmmm_spherical_cutoff, shells)
    1700             : 
    1701             :       TYPE(qmmm_gaussian_p_type), DIMENSION(:), POINTER  :: pgfs
    1702             :       TYPE(pw_pool_p_type), DIMENSION(:), POINTER        :: aug_pools
    1703             :       TYPE(pw_r3d_rs_type), INTENT(IN)                   :: rho
    1704             :       REAL(KIND=dp), DIMENSION(:), POINTER               :: mm_charges
    1705             :       INTEGER, DIMENSION(:), POINTER                     :: mm_atom_index
    1706             :       TYPE(particle_type), DIMENSION(:), POINTER         :: mm_particles
    1707             :       INTEGER, INTENT(IN)                                :: num_mm_atoms, coarser_grid_level
    1708             :       TYPE(qmmm_pot_p_type), DIMENSION(:), POINTER       :: Potentials
    1709             :       REAL(KIND=dp), DIMENSION(:, :)                     :: debug_force
    1710             :       TYPE(mp_para_env_type), POINTER                    :: para_env
    1711             :       TYPE(cell_type), POINTER                           :: mm_cell
    1712             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: dOmmOqm
    1713             :       INTEGER, INTENT(IN)                                :: iw, par_scheme
    1714             :       REAL(KIND=dp), DIMENSION(2), INTENT(IN)            :: qmmm_spherical_cutoff
    1715             :       LOGICAL                                            :: shells
    1716             : 
    1717             :       CHARACTER(len=*), PARAMETER :: routineN = 'debug_qmmm_forces_with_gauss_LR'
    1718             : 
    1719             :       INTEGER                                            :: handle, I, igrid, IndMM, J, K, ngrids
    1720             :       REAL(KIND=dp)                                      :: Coord_save
    1721             :       REAL(KIND=dp), DIMENSION(2)                        :: energy
    1722             :       REAL(KIND=dp), DIMENSION(3)                        :: Err
    1723             :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: Num_Forces
    1724           0 :       TYPE(pw_r3d_rs_type), ALLOCATABLE, DIMENSION(:)    :: grids
    1725             : 
    1726           0 :       ALLOCATE (Num_Forces(3, num_mm_atoms))
    1727           0 :       CALL timeset(routineN, handle)
    1728           0 :       ngrids = SIZE(aug_pools)
    1729           0 :       CALL pw_pools_create_pws(aug_pools, grids)
    1730           0 :       DO igrid = 1, ngrids
    1731           0 :          CALL pw_zero(grids(igrid))
    1732             :       END DO
    1733           0 :       Atoms: DO I = 1, num_mm_atoms
    1734           0 :          IndMM = mm_atom_index(I)
    1735           0 :          Coords: DO J = 1, 3
    1736           0 :             Coord_save = mm_particles(IndMM)%r(J)
    1737           0 :             energy = 0.0_dp
    1738           0 :             Diff: DO K = 1, 2
    1739           0 :                mm_particles(IndMM)%r(J) = Coord_save + (-1)**K*Dx
    1740           0 :                CALL pw_zero(grids(coarser_grid_level))
    1741             : 
    1742             :                CALL qmmm_elec_with_gaussian_LR(pgfs=pgfs, &
    1743             :                                                grid=grids(coarser_grid_level), &
    1744             :                                                mm_charges=mm_charges, &
    1745             :                                                mm_atom_index=mm_atom_index, &
    1746             :                                                mm_particles=mm_particles, &
    1747             :                                                para_env=para_env, &
    1748             :                                                potentials=potentials, &
    1749             :                                                mm_cell=mm_cell, &
    1750             :                                                dOmmOqm=dOmmOqm, &
    1751             :                                                par_scheme=par_scheme, &
    1752             :                                                qmmm_spherical_cutoff=qmmm_spherical_cutoff, &
    1753           0 :                                                shells=shells)
    1754             : 
    1755           0 :                energy(K) = pw_integral_ab(rho, grids(coarser_grid_level))
    1756             :             END DO Diff
    1757           0 :             IF (iw > 0) &
    1758             :                WRITE (iw, '(A,I6,A,I3,A,2F15.9)') &
    1759           0 :                "DEBUG LR:: MM Atom = ", IndMM, " Coord = ", J, " Energies (+/-) :: ", energy(2), energy(1)
    1760           0 :             Num_Forces(J, I) = (energy(2) - energy(1))/(2.0_dp*Dx)
    1761           0 :             mm_particles(IndMM)%r(J) = Coord_save
    1762             :          END DO Coords
    1763             :       END DO Atoms
    1764             : 
    1765           0 :       DO I = 1, num_mm_atoms
    1766           0 :          IndMM = mm_atom_index(I)
    1767           0 :          Err = 0.0_dp
    1768           0 :          IF (ALL(Num_Forces(:, I) /= 0.0_dp)) THEN
    1769           0 :             Err(1) = (debug_force(1, I) - Num_Forces(1, I))/Num_Forces(1, I)*100.0_dp
    1770           0 :             Err(2) = (debug_force(2, I) - Num_Forces(2, I))/Num_Forces(2, I)*100.0_dp
    1771           0 :             Err(3) = (debug_force(3, I) - Num_Forces(3, I))/Num_Forces(3, I)*100.0_dp
    1772             :          END IF
    1773           0 :          IF (iw > 0) &
    1774           0 :             WRITE (iw, 100) IndMM, debug_force(1, I), Num_Forces(1, I), Err(1), &
    1775           0 :             debug_force(2, I), Num_Forces(2, I), Err(2), &
    1776           0 :             debug_force(3, I), Num_Forces(3, I), Err(3)
    1777           0 :          CPASSERT(ABS(Err(1)) <= MaxErr)
    1778           0 :          CPASSERT(ABS(Err(2)) <= MaxErr)
    1779           0 :          CPASSERT(ABS(Err(3)) <= MaxErr)
    1780             :       END DO
    1781             : 
    1782           0 :       DEALLOCATE (Num_Forces)
    1783           0 :       CALL pw_pools_give_back_pws(aug_pools, grids)
    1784           0 :       CALL timestop(handle)
    1785             : 100   FORMAT("MM Atom LR    : ", I5, 2F15.9, " ( ", F7.2, " ) ", 2F15.9, " ( ", F7.2, " ) ", 2F15.9, " ( ", F7.2, " ) ")
    1786           0 :    END SUBROUTINE debug_qmmm_forces_with_gauss_LR
    1787             : 
    1788             : END MODULE qmmm_gpw_forces

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