LCOV - code coverage report
Current view: top level - src - rt_propagation_forces.F (source / functions) Coverage Total Hit
Test: CP2K Regtests (git:123285f) Lines: 97.6 % 123 120
Test Date: 2026-11-04 00:58:17 Functions: 100.0 % 4 4

            Line data    Source code
       1              : !--------------------------------------------------------------------------------------------------!
       2              : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3              : !   Copyright 2000-2026 CP2K developers group <https://cp2k.org>                                   !
       4              : !                                                                                                  !
       5              : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6              : !--------------------------------------------------------------------------------------------------!
       7              : 
       8              : ! **************************************************************************************************
       9              : !> \brief Routines needed for EMD
      10              : !> \author Florian Schiffmann (02.09)
      11              : ! **************************************************************************************************
      12              : 
      13              : MODULE rt_propagation_forces
      14              :    USE admm_types,                      ONLY: admm_type,&
      15              :                                               get_admm_env
      16              :    USE atomic_kind_types,               ONLY: atomic_kind_type,&
      17              :                                               get_atomic_kind_set
      18              :    USE cp_control_types,                ONLY: dft_control_type,&
      19              :                                               rtp_control_type
      20              :    USE cp_dbcsr_api,                    ONLY: &
      21              :         dbcsr_copy, dbcsr_create, dbcsr_deallocate_matrix, dbcsr_get_block_p, &
      22              :         dbcsr_iterator_blocks_left, dbcsr_iterator_next_block, dbcsr_iterator_start, &
      23              :         dbcsr_iterator_stop, dbcsr_iterator_type, dbcsr_multiply, dbcsr_p_type, dbcsr_type, &
      24              :         dbcsr_type_no_symmetry
      25              :    USE cp_dbcsr_cp2k_link,              ONLY: cp_dbcsr_alloc_block_from_nbl
      26              :    USE cp_dbcsr_operations,             ONLY: copy_dbcsr_to_fm,&
      27              :                                               copy_fm_to_dbcsr,&
      28              :                                               cp_dbcsr_sm_fm_multiply
      29              :    USE cp_fm_types,                     ONLY: cp_fm_create,&
      30              :                                               cp_fm_release,&
      31              :                                               cp_fm_type
      32              :    USE kinds,                           ONLY: dp
      33              :    USE mathconstants,                   ONLY: one,&
      34              :                                               zero
      35              :    USE parallel_gemm_api,               ONLY: parallel_gemm
      36              :    USE particle_types,                  ONLY: particle_type
      37              :    USE qs_environment_types,            ONLY: get_qs_env,&
      38              :                                               qs_environment_type
      39              :    USE qs_force_types,                  ONLY: add_qs_force,&
      40              :                                               qs_force_type
      41              :    USE qs_ks_types,                     ONLY: qs_ks_env_type
      42              :    USE qs_neighbor_list_types,          ONLY: neighbor_list_set_p_type
      43              :    USE qs_overlap,                      ONLY: build_overlap_force
      44              :    USE qs_rho_types,                    ONLY: qs_rho_get,&
      45              :                                               qs_rho_type
      46              :    USE rt_propagation_types,            ONLY: get_rtp,&
      47              :                                               rt_prop_type
      48              : #include "./base/base_uses.f90"
      49              : 
      50              :    IMPLICIT NONE
      51              :    PRIVATE
      52              : 
      53              :    PUBLIC :: calc_c_mat_force, &
      54              :              rt_admm_force
      55              : 
      56              :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'rt_propagation_forces'
      57              : 
      58              : CONTAINS
      59              : 
      60              : ! **************************************************************************************************
      61              : !> \brief calculates the three additional force contributions needed in EMD
      62              : !>        P_imag*C , P_imag*B*S^-1*S_der , P*S^-1*H*S_der
      63              : !> \param qs_env ...
      64              : !> \par History
      65              : !>      02.2014 switched to dbcsr matrices [Samuel Andermatt]
      66              : !>      10.2023 merge MO-based and all-atom into one routine [Guillaume Le Breton]
      67              : !> \author Florian Schiffmann (02.09)
      68              : ! **************************************************************************************************
      69              : 
      70         1228 :    SUBROUTINE calc_c_mat_force(qs_env)
      71              :       TYPE(qs_environment_type), POINTER                 :: qs_env
      72              : 
      73              :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'calc_c_mat_force'
      74              :       REAL(KIND=dp), PARAMETER                           :: one = 1.0_dp, zero = 0.0_dp
      75              : 
      76              :       INTEGER                                            :: handle, i, im, ispin, re
      77         1228 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: atom_of_kind, kind_of
      78         1228 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
      79         1228 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: C_mat, rho_ao, rho_ao_im, rho_new, &
      80         1228 :                                                             S_der, SinvB, SinvH, SinvH_imag
      81              :       TYPE(dbcsr_type), POINTER                          :: S_inv, tmp
      82              :       TYPE(dft_control_type), POINTER                    :: dft_control
      83         1228 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
      84         1228 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
      85              :       TYPE(qs_rho_type), POINTER                         :: rho
      86              :       TYPE(rt_prop_type), POINTER                        :: rtp
      87              :       TYPE(rtp_control_type), POINTER                    :: rtp_control
      88              : 
      89         1228 :       CALL timeset(routineN, handle)
      90         1228 :       NULLIFY (rtp, particle_set, atomic_kind_set, dft_control)
      91              : 
      92              :       CALL get_qs_env(qs_env, &
      93              :                       rtp=rtp, &
      94              :                       rho=rho, &
      95              :                       particle_set=particle_set, &
      96              :                       atomic_kind_set=atomic_kind_set, &
      97              :                       force=force, &
      98         1228 :                       dft_control=dft_control)
      99              : 
     100         1228 :       rtp_control => dft_control%rtp_control
     101              :       CALL get_rtp(rtp=rtp, C_mat=C_mat, S_der=S_der, S_inv=S_inv, &
     102         1228 :                    SinvH=SinvH, SinvB=SinvB)
     103              : 
     104         1228 :       CALL get_atomic_kind_set(atomic_kind_set=atomic_kind_set, atom_of_kind=atom_of_kind, kind_of=kind_of)
     105              : 
     106              :       NULLIFY (tmp)
     107         1228 :       ALLOCATE (tmp)
     108         1228 :       CALL dbcsr_create(tmp, template=SinvB(1)%matrix)
     109              : 
     110         1228 :       IF (rtp%linear_scaling) THEN
     111          356 :          CALL get_rtp(rtp=rtp, rho_new=rho_new)
     112              :       ELSE
     113          872 :          CALL qs_rho_get(rho_struct=rho, rho_ao=rho_ao, rho_ao_im=rho_ao_im)
     114              :       END IF
     115              : 
     116              :       ! If SinvH has an imaginary part (the minus sign is already in SinvH_imag)
     117         1228 :       IF (rtp%propagate_complex_ks) CALL get_rtp(rtp=rtp, SinvH_imag=SinvH_imag)
     118              : 
     119         2708 :       DO ispin = 1, SIZE(SinvH)
     120         1480 :          re = 2*ispin - 1
     121         1480 :          im = 2*ispin
     122         2708 :          IF (rtp%linear_scaling) THEN
     123              :             CALL dbcsr_multiply("N", "N", one, SinvH(ispin)%matrix, rho_new(re)%matrix, zero, tmp, &
     124          356 :                                 filter_eps=rtp%filter_eps)
     125          356 :             IF (rtp%propagate_complex_ks) THEN
     126              :                CALL dbcsr_multiply("N", "N", one, SinvH_imag(ispin)%matrix, rho_new(im)%matrix, one, tmp, &
     127          114 :                                    filter_eps=rtp%filter_eps)
     128              :             END IF
     129              :             CALL dbcsr_multiply("N", "N", one, SinvB(ispin)%matrix, rho_new(im)%matrix, one, tmp, &
     130          356 :                                 filter_eps=rtp%filter_eps)
     131          356 :             CALL compute_forces(force, tmp, S_der, rho_new(im)%matrix, C_mat, kind_of, atom_of_kind)
     132              :          ELSE
     133         1124 :             CALL dbcsr_multiply("N", "N", one, SinvH(ispin)%matrix, rho_ao(ispin)%matrix, zero, tmp)
     134         1124 :             IF (rtp%propagate_complex_ks) THEN
     135          182 :                CALL dbcsr_multiply("N", "N", one, SinvH_imag(ispin)%matrix, rho_ao_im(ispin)%matrix, one, tmp)
     136              :             END IF
     137         1124 :             CALL dbcsr_multiply("N", "N", one, SinvB(ispin)%matrix, rho_ao_im(ispin)%matrix, one, tmp)
     138         1124 :             CALL compute_forces(force, tmp, S_der, rho_ao_im(ispin)%matrix, C_mat, kind_of, atom_of_kind)
     139              :          END IF
     140              :       END DO
     141              : 
     142              :       ! recall QS forces, at this point have the other sign.
     143         3414 :       DO i = 1, SIZE(force)
     144        17990 :          force(i)%ehrenfest(:, :) = -force(i)%ehrenfest(:, :)
     145              :       END DO
     146              : 
     147         1228 :       CALL dbcsr_deallocate_matrix(tmp)
     148              : 
     149         1228 :       CALL timestop(handle)
     150              : 
     151         2456 :    END SUBROUTINE calc_c_mat_force
     152              : 
     153              : ! **************************************************************************************************
     154              : !> \brief ...
     155              : !> \param force ...
     156              : !> \param tmp ...
     157              : !> \param S_der ...
     158              : !> \param rho_im ...
     159              : !> \param C_mat ...
     160              : !> \param kind_of ...
     161              : !> \param atom_of_kind ...
     162              : ! **************************************************************************************************
     163         1480 :    SUBROUTINE compute_forces(force, tmp, S_der, rho_im, C_mat, kind_of, atom_of_kind)
     164              :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     165              :       TYPE(dbcsr_type), POINTER                          :: tmp
     166              :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: S_der
     167              :       TYPE(dbcsr_type), POINTER                          :: rho_im
     168              :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: C_mat
     169              :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: kind_of, atom_of_kind
     170              : 
     171              :       INTEGER                                            :: col_atom, i, ikind, kind_atom, row_atom
     172              :       LOGICAL                                            :: found
     173         1480 :       REAL(dp), DIMENSION(:, :), POINTER                 :: block_values, block_values2
     174              :       TYPE(dbcsr_iterator_type)                          :: iter
     175              : 
     176         5920 :       DO i = 1, 3
     177              :          !Calculate the sum over the hadmard product
     178              :          !S_der part
     179              : 
     180         4440 :          CALL dbcsr_iterator_start(iter, tmp)
     181        26112 :          DO WHILE (dbcsr_iterator_blocks_left(iter))
     182        21672 :             CALL dbcsr_iterator_next_block(iter, row_atom, col_atom, block_values)
     183        21672 :             CALL dbcsr_get_block_p(S_der(i)%matrix, row_atom, col_atom, block_values2, found=found)
     184        26112 :             IF (found) THEN
     185        20536 :                ikind = kind_of(col_atom)
     186        20536 :                kind_atom = atom_of_kind(col_atom)
     187              :                !The block_values are in a vector format,
     188              :                ! so the dot_product is the sum over all elements of the hamand product, that I need
     189              :                force(ikind)%ehrenfest(i, kind_atom) = force(ikind)%ehrenfest(i, kind_atom) + &
     190       595518 :                                                       2.0_dp*SUM(block_values*block_values2)
     191              :             END IF
     192              :          END DO
     193         4440 :          CALL dbcsr_iterator_stop(iter)
     194              : 
     195              :          !C_mat part
     196              : 
     197         4440 :          CALL dbcsr_iterator_start(iter, rho_im)
     198        19998 :          DO WHILE (dbcsr_iterator_blocks_left(iter))
     199        15558 :             CALL dbcsr_iterator_next_block(iter, row_atom, col_atom, block_values)
     200        15558 :             CALL dbcsr_get_block_p(C_mat(i)%matrix, row_atom, col_atom, block_values2, found=found)
     201        19998 :             IF (found) THEN
     202        10889 :                ikind = kind_of(col_atom)
     203        10889 :                kind_atom = atom_of_kind(col_atom)
     204              :                !The block_values are in a vector format, so the dot_product is
     205              :                ! the sum over all elements of the hamand product, that I need
     206              :                force(ikind)%ehrenfest(i, kind_atom) = force(ikind)%ehrenfest(i, kind_atom) + &
     207       302376 :                                                       2.0_dp*SUM(block_values*block_values2)
     208              :             END IF
     209              :          END DO
     210        14800 :          CALL dbcsr_iterator_stop(iter)
     211              :       END DO
     212              : 
     213         1480 :    END SUBROUTINE compute_forces
     214              : 
     215              : ! **************************************************************************************************
     216              : !> \brief Force contribution from the dependence of the ADMM projection on the nuclear positions
     217              : !> \param qs_env ...
     218              : !> \par History
     219              : !>      10.2026 use the density matrix instead of the MO coefficients
     220              : ! **************************************************************************************************
     221           30 :    SUBROUTINE rt_admm_force(qs_env)
     222              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     223              : 
     224              :       TYPE(admm_type), POINTER                           :: admm_env
     225           30 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: KS_aux_im, KS_aux_re, matrix_s_aux_fit, &
     226           30 :                                                             matrix_s_aux_fit_vs_orb
     227              :       TYPE(rt_prop_type), POINTER                        :: rtp
     228              : 
     229              :       CALL get_qs_env(qs_env, &
     230              :                       admm_env=admm_env, &
     231           30 :                       rtp=rtp)
     232              :       CALL get_admm_env(admm_env, matrix_ks_aux_fit=KS_aux_re, &
     233              :                         matrix_ks_aux_fit_im=KS_aux_im, &
     234              :                         matrix_s_aux_fit=matrix_s_aux_fit, &
     235           30 :                         matrix_s_aux_fit_vs_orb=matrix_s_aux_fit_vs_orb)
     236              : 
     237              :       ! currently only none option
     238              :       CALL rt_admm_forces_none(qs_env, admm_env, rtp, KS_aux_re, KS_aux_im, &
     239           30 :                                matrix_s_aux_fit, matrix_s_aux_fit_vs_orb)
     240              : 
     241           30 :    END SUBROUTINE rt_admm_force
     242              : 
     243              : ! **************************************************************************************************
     244              : !> \brief ADMM projection force without purification.
     245              : !>        With P~ = A*P*A^T and A = S~^-1*Q, the weighted matrices are
     246              : !>        W_Q = -2*S~^-1*Re(K~*A*P) and W_S = -W_Q*A^T.
     247              : !>        The complex density matrix P is used instead of the MO coefficients, so that
     248              : !>        P is consistent with the auxiliary KS matrix K~ and includes the occupations.
     249              : !> \param qs_env ...
     250              : !> \param admm_env ...
     251              : !> \param rtp ...
     252              : !> \param KS_aux_re ...
     253              : !> \param KS_aux_im ...
     254              : !> \param matrix_s_aux_fit ...
     255              : !> \param matrix_s_aux_fit_vs_orb ...
     256              : ! **************************************************************************************************
     257           30 :    SUBROUTINE rt_admm_forces_none(qs_env, admm_env, rtp, KS_aux_re, KS_aux_im, matrix_s_aux_fit, &
     258              :                                   matrix_s_aux_fit_vs_orb)
     259              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     260              :       TYPE(admm_type), POINTER                           :: admm_env
     261              :       TYPE(rt_prop_type), POINTER                        :: rtp
     262              :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: KS_aux_re, KS_aux_im, matrix_s_aux_fit, &
     263              :                                                             matrix_s_aux_fit_vs_orb
     264              : 
     265              :       INTEGER                                            :: ispin, nao, natom, naux
     266           30 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: admm_force
     267           30 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     268              :       TYPE(cp_fm_type)                                   :: tmp_aux_aux, tmp_aux_kap, tmp_aux_nao, &
     269              :                                                             tmp_nao_nao
     270           90 :       TYPE(cp_fm_type), DIMENSION(2)                     :: tmp_aux_ap
     271           30 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: rho_ao, rho_ao_im, rho_new
     272              :       TYPE(dbcsr_type), POINTER                          :: matrix_w_q, matrix_w_s, rho_im, rho_re
     273              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     274           30 :          POINTER                                         :: sab_aux_fit_asymm, sab_aux_fit_vs_orb
     275           30 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     276              :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     277              :       TYPE(qs_rho_type), POINTER                         :: rho
     278              : 
     279           30 :       NULLIFY (sab_aux_fit_asymm, sab_aux_fit_vs_orb, ks_env, rho, rho_ao, rho_ao_im, rho_new)
     280              : 
     281              :       CALL get_qs_env(qs_env, ks_env=ks_env, rho=rho, natom=natom, &
     282           30 :                       atomic_kind_set=atomic_kind_set, force=force)
     283              :       CALL get_admm_env(admm_env, sab_aux_fit_asymm=sab_aux_fit_asymm, &
     284           30 :                         sab_aux_fit_vs_orb=sab_aux_fit_vs_orb)
     285           30 :       IF (rtp%linear_scaling) THEN
     286            0 :          CALL get_rtp(rtp=rtp, rho_new=rho_new)
     287              :       ELSE
     288           30 :          CALL qs_rho_get(rho_struct=rho, rho_ao=rho_ao, rho_ao_im=rho_ao_im)
     289              :       END IF
     290              : 
     291           30 :       naux = admm_env%nao_aux_fit; nao = admm_env%nao_orb
     292              : 
     293           30 :       ALLOCATE (matrix_w_s)
     294              :       CALL dbcsr_create(matrix_w_s, template=matrix_s_aux_fit(1)%matrix, &
     295           30 :                         name='W MATRIX AUX S', matrix_type=dbcsr_type_no_symmetry)
     296           30 :       CALL cp_dbcsr_alloc_block_from_nbl(matrix_w_s, sab_aux_fit_asymm)
     297              : 
     298           30 :       ALLOCATE (matrix_w_q)
     299              :       CALL dbcsr_copy(matrix_w_q, matrix_s_aux_fit_vs_orb(1)%matrix, &
     300           30 :                       "W MATRIX AUX Q")
     301              : 
     302           30 :       CALL cp_fm_create(tmp_nao_nao, admm_env%work_orb_orb%matrix_struct, name="too")
     303           30 :       CALL cp_fm_create(tmp_aux_ap(1), admm_env%work_aux_orb%matrix_struct, name="tao")
     304           30 :       CALL cp_fm_create(tmp_aux_ap(2), admm_env%work_aux_orb%matrix_struct, name="tao")
     305           30 :       CALL cp_fm_create(tmp_aux_kap, admm_env%work_aux_orb%matrix_struct, name="tao")
     306           30 :       CALL cp_fm_create(tmp_aux_nao, admm_env%work_aux_orb%matrix_struct, name="tao")
     307           30 :       CALL cp_fm_create(tmp_aux_aux, admm_env%work_aux_aux%matrix_struct, name="taa")
     308              : 
     309           90 :       ALLOCATE (admm_force(3, natom))
     310              : 
     311           70 :       DO ispin = 1, SIZE(KS_aux_re)
     312           40 :          IF (rtp%linear_scaling) THEN
     313            0 :             rho_re => rho_new(2*ispin - 1)%matrix
     314            0 :             rho_im => rho_new(2*ispin)%matrix
     315              :          ELSE
     316           40 :             rho_re => rho_ao(ispin)%matrix
     317           40 :             rho_im => rho_ao_im(ispin)%matrix
     318              :          END IF
     319              : 
     320              : ! First calculate A*P, real part ends on tmp_aux_ap(1), imaginary part on tmp_aux_ap(2)
     321           40 :          CALL copy_dbcsr_to_fm(rho_re, tmp_nao_nao)
     322           40 :          CALL parallel_gemm('N', 'N', naux, nao, nao, 1.0_dp, admm_env%A, tmp_nao_nao, 0.0_dp, tmp_aux_ap(1))
     323           40 :          CALL copy_dbcsr_to_fm(rho_im, tmp_nao_nao)
     324           40 :          CALL parallel_gemm('N', 'N', naux, nao, nao, 1.0_dp, admm_env%A, tmp_nao_nao, 0.0_dp, tmp_aux_ap(2))
     325              : 
     326              : ! Next step Re(K~*A*P) = K~_re*A*P_re - K~_im*A*P_im
     327           40 :          CALL cp_dbcsr_sm_fm_multiply(KS_aux_re(ispin)%matrix, tmp_aux_ap(1), tmp_aux_kap, nao, 1.0_dp, 0.0_dp)
     328           40 :          CALL cp_dbcsr_sm_fm_multiply(KS_aux_im(ispin)%matrix, tmp_aux_ap(2), tmp_aux_kap, nao, -1.0_dp, 1.0_dp)
     329              : 
     330              : ! Wq=-2*S~^-1*Re(K~*A*P), minus sign due to force = -dE/dR
     331           40 :          CALL parallel_gemm('N', 'N', naux, nao, naux, -2.0_dp, admm_env%S_inv, tmp_aux_kap, 0.0_dp, tmp_aux_nao)
     332              : 
     333              : ! Ws=-Wq*A^T
     334           40 :          CALL parallel_gemm('N', 'T', naux, naux, nao, -1.0_dp, tmp_aux_nao, admm_env%A, 0.0_dp, tmp_aux_aux)
     335              : 
     336              :          ! *** copy to sparse matrix
     337           40 :          CALL copy_fm_to_dbcsr(tmp_aux_nao, matrix_w_q, keep_sparsity=.TRUE.)
     338              : 
     339              :          ! *** copy to sparse matrix
     340           40 :          CALL copy_fm_to_dbcsr(tmp_aux_aux, matrix_w_s, keep_sparsity=.TRUE.)
     341              : 
     342           40 :          admm_force = 0.0_dp
     343              :          CALL build_overlap_force(ks_env, admm_force, &
     344              :                                   basis_type_a="AUX_FIT", basis_type_b="AUX_FIT", &
     345           40 :                                   sab_nl=sab_aux_fit_asymm, matrix_p=matrix_w_s)
     346              :          CALL build_overlap_force(ks_env, admm_force, &
     347              :                                   basis_type_a="AUX_FIT", basis_type_b="ORB", &
     348           40 :                                   sab_nl=sab_aux_fit_vs_orb, matrix_p=matrix_w_q)
     349              :          ! add forces
     350           70 :          CALL add_qs_force(admm_force, force, "overlap_admm", atomic_kind_set)
     351              : 
     352              :       END DO
     353              : 
     354           30 :       DEALLOCATE (admm_force)
     355              : 
     356              :       ! *** Deallocated weighted density matrices
     357           30 :       CALL dbcsr_deallocate_matrix(matrix_w_s)
     358           30 :       CALL dbcsr_deallocate_matrix(matrix_w_q)
     359              : 
     360           30 :       CALL cp_fm_release(tmp_nao_nao)
     361           30 :       CALL cp_fm_release(tmp_aux_ap(1))
     362           30 :       CALL cp_fm_release(tmp_aux_ap(2))
     363           30 :       CALL cp_fm_release(tmp_aux_kap)
     364           30 :       CALL cp_fm_release(tmp_aux_nao)
     365           30 :       CALL cp_fm_release(tmp_aux_aux)
     366              : 
     367          120 :    END SUBROUTINE rt_admm_forces_none
     368              : 
     369              : END MODULE rt_propagation_forces
        

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