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!! @author Charles F. Vardeman II |
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!! @author Matthew Meineke |
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< |
!! @version $Id: do_Forces.F90,v 1.14 2003-03-12 20:00:58 gezelter Exp $, $Date: 2003-03-12 20:00:58 $, $Name: not supported by cvs2svn $, $Revision: 1.14 $ |
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> |
!! @version $Id: do_Forces.F90,v 1.15 2003-03-12 22:27:59 gezelter Exp $, $Date: 2003-03-12 22:27:59 $, $Name: not supported by cvs2svn $, $Revision: 1.15 $ |
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module do_Forces |
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use simulation |
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use definitions |
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– |
use forceGlobals |
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use atype_module |
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use neighborLists |
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use lj_FF |
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implicit none |
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PRIVATE |
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|
| 27 |
< |
public :: do_force_loop |
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> |
logical, save :: do_forces_initialized = .false. |
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> |
logical, save :: FF_uses_LJ |
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> |
logical, save :: FF_uses_sticky |
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> |
logical, save :: FF_uses_dipoles |
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> |
logical, save :: FF_uses_RF |
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> |
logical, save :: FF_uses_GB |
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> |
logical, save :: FF_uses_EAM |
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|
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– |
logical :: do_pot |
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– |
logical :: do_stress |
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|
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+ |
public :: init_FF |
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public :: do_forces |
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|
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contains |
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|
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subroutine init_FF(thisStat) |
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|
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integer, intent(out) :: my_status |
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integer :: thisStat = 0 |
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+ |
|
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! be a smarter subroutine. |
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+ |
|
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+ |
|
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+ |
call init_lj_FF(my_status) |
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if (my_status /= 0) then |
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thisStat = -1 |
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+ |
return |
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+ |
end if |
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+ |
|
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+ |
call check_sticky_FF(my_status) |
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if (my_status /= 0) then |
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thisStat = -1 |
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+ |
return |
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+ |
end if |
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+ |
|
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do_forces_initialized = .true. |
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+ |
|
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end subroutine init_FF |
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+ |
|
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|
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|
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!! Does force loop over i,j pairs. Calls do_pair to calculates forces. |
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!-------------------------------------------------------------> |
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subroutine do_force_loop(q, A, u_l, f, t, tau, pot, do_pot_c, do_stress_c, & |
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< |
FFerror) |
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> |
error) |
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!! Position array provided by C, dimensioned by getNlocal |
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real ( kind = dp ), dimension(3,getNlocal()) :: q |
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!! Rotation Matrix for each long range particle in simulation. |
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real( kind = dp), dimension(9) :: tau |
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real ( kind = dp ) :: pot |
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logical ( kind = 2) :: do_pot_c, do_stress_c |
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< |
integer :: FFerror |
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< |
|
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> |
logical :: do_pot |
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> |
logical :: do_stress |
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#ifdef IS_MPI |
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real( kind = DP ) :: pot_local |
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+ |
integer :: nlocal |
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integer :: nrow |
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+ |
integer :: ncol |
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#endif |
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< |
|
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> |
integer :: natoms |
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logical :: update_nlist |
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integer :: i, j, jbeg, jend, jnab |
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integer :: nlist |
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real( kind = DP ) :: rijsq, rlistsq, rcutsq, rlist, rcut |
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– |
|
| 64 |
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#ifdef IS_MPI |
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– |
integer :: nlocal |
| 66 |
– |
#endif |
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– |
integer :: nrow |
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integer :: ncol |
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– |
integer :: natoms |
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integer :: neighborListSize |
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integer :: listerror |
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– |
FFerror = 0 |
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|
| 101 |
< |
do_pot = do_pot_c |
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< |
do_stress = do_stress_c |
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> |
!! initialize local variables |
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|
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– |
! Make sure we are properly initialized. |
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– |
if (.not. isFFInit) then |
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– |
write(default_error,*) "ERROR: lj_FF has not been properly initialized" |
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– |
FFerror = -1 |
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– |
return |
| 82 |
– |
endif |
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#ifdef IS_MPI |
| 104 |
< |
if (.not. isMPISimSet()) then |
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< |
write(default_error,*) "ERROR: mpiSimulation has not been properly initialized" |
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< |
FFerror = -1 |
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< |
return |
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< |
endif |
| 104 |
> |
nlocal = getNlocal() |
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> |
nrow = getNrow(plan_row) |
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> |
ncol = getNcol(plan_col) |
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> |
#else |
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> |
nlocal = getNlocal() |
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> |
natoms = nlocal |
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#endif |
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< |
|
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< |
!! initialize local variables |
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< |
natoms = getNlocal() |
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> |
|
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call getRcut(rcut,rcut2=rcutsq) |
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call getRlist(rlist,rlistsq) |
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|
| 115 |
< |
!! See if we need to update neighbor lists |
| 116 |
< |
call checkNeighborList(natoms, q, rcut, rlist, update_nlist) |
| 115 |
> |
call check_initialization() |
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> |
call zero_work_arrays() |
| 117 |
> |
|
| 118 |
> |
do_pot = do_pot_c |
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> |
do_stress = do_stress_c |
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> |
|
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> |
! Gather all information needed by all force loops: |
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|
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< |
!--------------WARNING........................... |
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< |
! Zero variables, NOTE:::: Forces are zeroed in C |
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< |
! Zeroing them here could delete previously computed |
| 102 |
< |
! Forces. |
| 103 |
< |
!------------------------------------------------ |
| 104 |
< |
call zero_module_variables() |
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> |
#ifdef IS_MPI |
| 124 |
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|
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– |
! communicate MPI positions |
| 107 |
– |
#ifdef IS_MPI |
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call gather(q,q_Row,plan_row3d) |
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call gather(q,q_Col,plan_col3d) |
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+ |
|
| 128 |
+ |
if (FF_UsesDirectionalAtoms() .and. SimUsesDirectionalAtoms()) then |
| 129 |
+ |
call gather(u_l,u_l_Row,plan_row3d) |
| 130 |
+ |
call gather(u_l,u_l_Col,plan_col3d) |
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+ |
|
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+ |
call gather(A,A_Row,plan_row_rotation) |
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+ |
call gather(A,A_Col,plan_col_rotation) |
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+ |
endif |
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|
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– |
call gather(u_l,u_l_Row,plan_row3d) |
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– |
call gather(u_l,u_l_Col,plan_col3d) |
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– |
|
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– |
call gather(A,A_Row,plan_row_rotation) |
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– |
call gather(A,A_Col,plan_col_rotation) |
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#endif |
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< |
|
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< |
|
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> |
|
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> |
if (FF_RequiresPrepairCalc() .and. SimRequiresPrepairCalc()) then |
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> |
!! See if we need to update neighbor lists |
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> |
call checkNeighborList(nlocal, q, rcut, rlist, update_nlist) |
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> |
!! if_mpi_gather_stuff_for_prepair |
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> |
!! do_prepair_loop_if_needed |
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> |
!! if_mpi_scatter_stuff_from_prepair |
| 144 |
> |
!! if_mpi_gather_stuff_from_prepair_to_main_loop |
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> |
else |
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> |
!! See if we need to update neighbor lists |
| 147 |
> |
call checkNeighborList(nlocal, q, rcut, rlist, update_nlist) |
| 148 |
> |
endif |
| 149 |
> |
|
| 150 |
|
#ifdef IS_MPI |
| 151 |
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|
| 152 |
|
if (update_nlist) then |
| 153 |
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|
| 154 |
< |
! save current configuration, contruct neighbor list, |
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< |
! and calculate forces |
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> |
!! save current configuration, construct neighbor list, |
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> |
!! and calculate forces |
| 156 |
|
call save_neighborList(q) |
| 157 |
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|
| 158 |
|
neighborListSize = getNeighborListSize() |
| 159 |
< |
nlist = 0 |
| 159 |
> |
nlist = 0 |
| 160 |
|
|
| 130 |
– |
nrow = getNrow(plan_row) |
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– |
ncol = getNcol(plan_col) |
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– |
nlocal = getNlocal() |
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– |
|
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|
do i = 1, nrow |
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point(i) = nlist + 1 |
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|
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inner: do j = 1, ncol |
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|
| 166 |
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if (check_exclude(i,j)) cycle inner: |
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< |
|
| 167 |
> |
|
| 168 |
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call get_interatomic_vector(q_Row(:,i), q_Col(:,j), d, rijsq) |
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|
| 170 |
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if (rijsq < rlistsq) then |
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if (nlist > neighborListSize) then |
| 175 |
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call expandNeighborList(nlocal, listerror) |
| 176 |
|
if (listerror /= 0) then |
| 177 |
< |
FFerror = -1 |
| 177 |
> |
error = -1 |
| 178 |
|
write(DEFAULT_ERROR,*) "ERROR: nlist > list size and max allocations exceeded." |
| 179 |
|
return |
| 180 |
|
end if |
| 183 |
|
list(nlist) = j |
| 184 |
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|
| 185 |
|
if (rijsq < rcutsq) then |
| 186 |
< |
call do_pair(i, j, rijsq, d) |
| 186 |
> |
call do_pair(i, j, rijsq, d, do_pot, do_stress) |
| 187 |
|
endif |
| 188 |
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endif |
| 189 |
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enddo inner |
| 191 |
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|
| 192 |
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point(nrow + 1) = nlist + 1 |
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|
| 194 |
< |
else !! (update) |
| 194 |
> |
else !! (of update_check) |
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|
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! use the list to find the neighbors |
| 197 |
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do i = 1, nrow |
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j = list(jnab) |
| 205 |
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|
| 206 |
|
call get_interatomic_vector(q_Row(:,i), q_Col(:,j), d, rijsq) |
| 207 |
< |
call do_pair(i, j, rijsq, d) |
| 207 |
> |
call do_pair(i, j, rijsq, d, do_pot, do_stress) |
| 208 |
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|
| 209 |
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enddo |
| 210 |
|
endif |
| 211 |
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enddo |
| 212 |
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endif |
| 213 |
< |
|
| 213 |
> |
|
| 214 |
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#else |
| 215 |
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|
| 216 |
|
if (update_nlist) then |
| 221 |
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|
| 222 |
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neighborListSize = getNeighborListSize() |
| 223 |
|
nlist = 0 |
| 224 |
< |
|
| 224 |
> |
|
| 225 |
|
do i = 1, natoms-1 |
| 226 |
|
point(i) = nlist + 1 |
| 227 |
< |
|
| 227 |
> |
|
| 228 |
|
inner: do j = i+1, natoms |
| 229 |
< |
|
| 229 |
> |
|
| 230 |
|
if (check_exclude(i,j)) cycle inner: |
| 231 |
< |
|
| 231 |
> |
|
| 232 |
|
call get_interatomic_vector(q(:,i), q(:,j), d, rijsq) |
| 233 |
|
|
| 234 |
|
if (rijsq < rlistsq) then |
| 238 |
|
if (nlist > neighborListSize) then |
| 239 |
|
call expandList(natoms, listerror) |
| 240 |
|
if (listerror /= 0) then |
| 241 |
< |
FFerror = -1 |
| 241 |
> |
error = -1 |
| 242 |
|
write(DEFAULT_ERROR,*) "ERROR: nlist > list size and max allocations exceeded." |
| 243 |
|
return |
| 244 |
|
end if |
| 245 |
|
endif |
| 246 |
|
|
| 247 |
|
list(nlist) = j |
| 248 |
< |
|
| 248 |
> |
|
| 249 |
|
if (rijsq < rcutsq) then |
| 250 |
< |
call do_pair(i, j, rijsq, d) |
| 250 |
> |
call do_pair(i, j, rijsq, d, do_pot, do_stress) |
| 251 |
|
endif |
| 252 |
|
endif |
| 253 |
|
enddo inner |
| 268 |
|
j = list(jnab) |
| 269 |
|
|
| 270 |
|
call get_interatomic_vector(q(:,i), q(:,j), d, rijsq) |
| 271 |
< |
call do_pair(i, j, rijsq, d) |
| 271 |
> |
call do_pair(i, j, rijsq, d, do_pot, do_stress) |
| 272 |
|
|
| 273 |
|
enddo |
| 274 |
|
endif |
| 277 |
|
|
| 278 |
|
#endif |
| 279 |
|
|
| 280 |
< |
|
| 254 |
< |
#ifdef IS_MPI |
| 255 |
< |
!! distribute all reaction field stuff (or anything for post-pair): |
| 256 |
< |
call scatter(rflRow,rflTemp1,plan_row3d) |
| 257 |
< |
call scatter(rflCol,rflTemp2,plan_col3d) |
| 258 |
< |
do i = 1,nlocal |
| 259 |
< |
rflTemp(1:3,i) = rflTemp1(1:3,i) + rflTemp2(1:3,i) |
| 260 |
< |
end do |
| 261 |
< |
#endif |
| 262 |
< |
|
| 263 |
< |
! This is the post-pair loop: |
| 264 |
< |
#ifdef IS_MPI |
| 265 |
< |
|
| 266 |
< |
if (system_has_postpair_atoms) then |
| 267 |
< |
do i = 1, nlocal |
| 268 |
< |
Atype_i => identPtrListRow(i)%this |
| 269 |
< |
call do_postpair(i, Atype_i) |
| 270 |
< |
enddo |
| 271 |
< |
endif |
| 280 |
> |
! phew, done with main loop. |
| 281 |
|
|
| 273 |
– |
#else |
| 274 |
– |
|
| 275 |
– |
if (system_has_postpair_atoms) then |
| 276 |
– |
do i = 1, natoms |
| 277 |
– |
Atype_i => identPtr(i)%this |
| 278 |
– |
call do_postpair(i, Atype_i) |
| 279 |
– |
enddo |
| 280 |
– |
endif |
| 281 |
– |
|
| 282 |
– |
#endif |
| 283 |
– |
|
| 284 |
– |
|
| 282 |
|
#ifdef IS_MPI |
| 283 |
|
!!distribute forces |
| 284 |
< |
|
| 284 |
> |
|
| 285 |
|
call scatter(f_Row,f,plan_row3d) |
| 286 |
|
call scatter(f_Col,f_temp,plan_col3d) |
| 287 |
|
do i = 1,nlocal |
| 288 |
|
f(1:3,i) = f(1:3,i) + f_temp(1:3,i) |
| 289 |
|
end do |
| 290 |
< |
|
| 291 |
< |
if (doTorque()) then |
| 290 |
> |
|
| 291 |
> |
if (FF_UsesDirectionalAtoms() .and. SimUsesDirectionalAtoms()) then |
| 292 |
|
call scatter(t_Row,t,plan_row3d) |
| 293 |
|
call scatter(t_Col,t_temp,plan_col3d) |
| 294 |
< |
|
| 294 |
> |
|
| 295 |
|
do i = 1,nlocal |
| 296 |
|
t(1:3,i) = t(1:3,i) + t_temp(1:3,i) |
| 297 |
|
end do |
| 314 |
|
pot_local = pot_local + pot_Temp(i) |
| 315 |
|
enddo |
| 316 |
|
|
| 317 |
+ |
endif |
| 318 |
+ |
|
| 319 |
+ |
if (FF_RequiresPostpairCalc() .and. SimRequiresPostpairCalc()) then |
| 320 |
+ |
|
| 321 |
+ |
if (FF_uses_RF .and. SimUsesRF()) then |
| 322 |
+ |
|
| 323 |
+ |
#ifdef IS_MPI |
| 324 |
+ |
call scatter(rf_Row,rf,plan_row3d) |
| 325 |
+ |
call scatter(rf_Col,rf_Temp,plan_col3d) |
| 326 |
+ |
do i = 1,nlocal |
| 327 |
+ |
rf(1:3,i) = rf(1:3,i) + rf_Temp(1:3,i) |
| 328 |
+ |
end do |
| 329 |
+ |
#endif |
| 330 |
+ |
|
| 331 |
+ |
do i = 1, getNlocal() |
| 332 |
+ |
|
| 333 |
+ |
#ifdef IS_MPI |
| 334 |
+ |
me_i = atid_row(i) |
| 335 |
+ |
#else |
| 336 |
+ |
me_i = atid(i) |
| 337 |
+ |
#endif |
| 338 |
+ |
call getElementProperty(atypes, me_i, "is_DP", is_DP_i) |
| 339 |
+ |
if ( is_DP_i ) then |
| 340 |
+ |
call getElementProperty(atypes, me_i, "dipole_moment", mu_i) |
| 341 |
+ |
!! The reaction field needs to include a self contribution |
| 342 |
+ |
!! to the field: |
| 343 |
+ |
call accumulate_self_rf(i, mu_i, u_l) |
| 344 |
+ |
!! Get the reaction field contribution to the |
| 345 |
+ |
!! potential and torques: |
| 346 |
+ |
call reaction_field(i, mu_i, u_l, rfpot, t, do_pot) |
| 347 |
+ |
#ifdef IS_MPI |
| 348 |
+ |
pot_local = pot_local + rfpot |
| 349 |
+ |
#else |
| 350 |
+ |
pot = pot + rfpot |
| 351 |
+ |
#endif |
| 352 |
+ |
endif |
| 353 |
+ |
enddo |
| 354 |
+ |
endif |
| 355 |
+ |
endif |
| 356 |
+ |
|
| 357 |
+ |
|
| 358 |
+ |
#ifdef IS_MPI |
| 359 |
+ |
|
| 360 |
+ |
if (do_pot) then |
| 361 |
|
pot = pot_local |
| 362 |
+ |
!! we assume the c code will do the allreduce to get the total potential |
| 363 |
+ |
!! we could do it right here if we needed to... |
| 364 |
|
endif |
| 365 |
|
|
| 366 |
< |
if (doStress()) then |
| 366 |
> |
if (do_stress) then |
| 367 |
|
mpi_allreduce(tau, tau_Temp,9,mpi_double_precision,mpi_sum, & |
| 368 |
|
mpi_comm_world,mpi_err) |
| 369 |
|
mpi_allreduce(virial, virial_Temp,1,mpi_double_precision,mpi_sum, & |
| 370 |
|
mpi_comm_world,mpi_err) |
| 371 |
|
endif |
| 372 |
|
|
| 373 |
< |
#endif |
| 373 |
> |
#else |
| 374 |
|
|
| 375 |
< |
if (doStress()) then |
| 375 |
> |
if (do_stress) then |
| 376 |
|
tau = tau_Temp |
| 377 |
|
virial = virial_Temp |
| 378 |
|
endif |
| 379 |
|
|
| 380 |
+ |
#endif |
| 381 |
+ |
|
| 382 |
|
end subroutine do_force_loop |
| 383 |
|
|
| 384 |
|
|
| 397 |
|
|
| 398 |
|
end subroutine do_postForce |
| 399 |
|
|
| 400 |
< |
subroutine do_pair(i, j, rijsq, d) |
| 400 |
> |
subroutine do_pair(i, j, rijsq, d, do_pot, do_stress) |
| 401 |
|
|
| 402 |
+ |
logical, intent(inout) :: do_pot, do_stress |
| 403 |
|
integer, intent(in) :: i, j |
| 404 |
|
real ( kind = dp ), intent(in) :: rijsq |
| 405 |
|
real ( kind = dp ) :: r |
| 424 |
|
|
| 425 |
|
#endif |
| 426 |
|
|
| 381 |
– |
call getElementProperty(atypes, me_i, "is_LJ", is_LJ_i) |
| 382 |
– |
call getElementProperty(atypes, me_j, "is_LJ", is_LJ_j) |
| 427 |
|
|
| 428 |
< |
if ( is_LJ_i .and. is_LJ_j ) & |
| 429 |
< |
call do_lj_pair(i, j, d, r, rijsq, pot, f, do_pot, do_stress) |
| 430 |
< |
|
| 431 |
< |
call getElementProperty(atypes, me_i, "is_DP", is_DP_i) |
| 432 |
< |
call getElementProperty(atypes, me_j, "is_DP", is_DP_j) |
| 428 |
> |
if (FF_uses_LJ .and. SimUsesLJ()) then |
| 429 |
> |
call getElementProperty(atypes, me_i, "is_LJ", is_LJ_i) |
| 430 |
> |
call getElementProperty(atypes, me_j, "is_LJ", is_LJ_j) |
| 431 |
> |
|
| 432 |
> |
if ( is_LJ_i .and. is_LJ_j ) & |
| 433 |
> |
call do_lj_pair(i, j, d, r, rijsq, pot, f, do_pot, do_stress) |
| 434 |
> |
endif |
| 435 |
> |
|
| 436 |
|
|
| 437 |
< |
if ( is_DP_i .and. is_DP_j ) then |
| 438 |
< |
|
| 439 |
< |
call do_dipole_pair(i, j, d, r, pot, u_l, f, t, do_pot, do_stress) |
| 440 |
< |
|
| 441 |
< |
if (do_reaction_field) then |
| 442 |
< |
call accumulate_rf(i, j, r) |
| 437 |
> |
if (FF_uses_DP .and. SimUsesDP()) then |
| 438 |
> |
call getElementProperty(atypes, me_i, "is_DP", is_DP_i) |
| 439 |
> |
call getElementProperty(atypes, me_j, "is_DP", is_DP_j) |
| 440 |
> |
|
| 441 |
> |
if ( is_DP_i .and. is_DP_j ) then |
| 442 |
> |
|
| 443 |
> |
call do_dipole_pair(i, j, d, r, pot, u_l, f, t, do_pot, do_stress) |
| 444 |
> |
|
| 445 |
> |
if (FF_uses_RF .and. SimUsesRF()) then |
| 446 |
> |
|
| 447 |
> |
call accumulate_rf(i, j, r, u_l) |
| 448 |
> |
call rf_correct_forces(i, j, d, r, u_l, f, do_stress) |
| 449 |
> |
|
| 450 |
> |
endif |
| 451 |
> |
|
| 452 |
|
endif |
| 397 |
– |
|
| 453 |
|
endif |
| 454 |
|
|
| 455 |
< |
call getElementProperty(atypes, me_i, "is_Sticky", is_Sticky_i) |
| 401 |
< |
call getElementProperty(atypes, me_j, "is_Sticky", is_Sticky_j) |
| 455 |
> |
if (FF_uses_Sticky .and. SimUsesSticky()) then |
| 456 |
|
|
| 457 |
< |
if ( is_Sticky_i .and. is_Sticky_j ) then |
| 458 |
< |
call do_sticky_pair(i, j, d, r, rijsq, A, pot, f, t, do_pot, do_stress) |
| 457 |
> |
call getElementProperty(atypes, me_i, "is_Sticky", is_Sticky_i) |
| 458 |
> |
call getElementProperty(atypes, me_j, "is_Sticky", is_Sticky_j) |
| 459 |
> |
|
| 460 |
> |
if ( is_Sticky_i .and. is_Sticky_j ) then |
| 461 |
> |
call do_sticky_pair(i, j, d, r, rijsq, A, pot, f, t, & |
| 462 |
> |
do_pot, do_stress) |
| 463 |
> |
endif |
| 464 |
|
endif |
| 406 |
– |
|
| 465 |
|
|
| 466 |
|
end subroutine do_pair |
| 467 |
|
|
| 484 |
|
r_sq = dot_product(d,d) |
| 485 |
|
|
| 486 |
|
end subroutine get_interatomic_vector |
| 487 |
+ |
|
| 488 |
+ |
subroutine check_initialization(error) |
| 489 |
+ |
integer, intent(out) :: error |
| 490 |
+ |
|
| 491 |
+ |
error = 0 |
| 492 |
+ |
! Make sure we are properly initialized. |
| 493 |
+ |
if (.not. do_Forces_initialized) then |
| 494 |
+ |
write(default_error,*) "ERROR: do_Forces has not been initialized!" |
| 495 |
+ |
error = -1 |
| 496 |
+ |
return |
| 497 |
+ |
endif |
| 498 |
+ |
#ifdef IS_MPI |
| 499 |
+ |
if (.not. isMPISimSet()) then |
| 500 |
+ |
write(default_error,*) "ERROR: mpiSimulation has not been initialized!" |
| 501 |
+ |
error = -1 |
| 502 |
+ |
return |
| 503 |
+ |
endif |
| 504 |
+ |
#endif |
| 505 |
+ |
|
| 506 |
+ |
return |
| 507 |
+ |
end subroutine check_initialization |
| 508 |
+ |
|
| 509 |
|
|
| 510 |
|
subroutine zero_work_arrays() |
| 511 |
|
|
| 604 |
|
|
| 605 |
|
end function checkExcludes |
| 606 |
|
|
| 607 |
< |
|
| 607 |
> |
function FF_UsesDirectionalAtoms() result(doesit) |
| 608 |
> |
logical :: doesit |
| 609 |
> |
doesit = FF_uses_dipoles .or. FF_uses_sticky .or. & |
| 610 |
> |
FF_uses_GB .or. FF_uses_RF |
| 611 |
> |
end function FF_UsesDirectionalAtoms |
| 612 |
> |
|
| 613 |
> |
function FF_RequiresPrepairCalc() result(doesit) |
| 614 |
> |
logical :: doesit |
| 615 |
> |
doesit = FF_uses_EAM |
| 616 |
> |
end function FF_RequiresPrepairCalc |
| 617 |
> |
|
| 618 |
> |
function FF_RequiresPostpairCalc() result(doesit) |
| 619 |
> |
logical :: doesit |
| 620 |
> |
doesit = FF_uses_RF |
| 621 |
> |
end function FF_RequiresPostpairCalc |
| 622 |
> |
|
| 623 |
|
end module do_Forces |
