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root/group/trunk/OOPSE-4/src/UseTheForce/DarkSide/electrostatic.F90
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Comparing trunk/OOPSE-4/src/UseTheForce/DarkSide/electrostatic.F90 (file contents):
Revision 2309 by chrisfen, Sun Sep 18 20:45:38 2005 UTC vs.
Revision 2724 by chrisfen, Fri Apr 21 03:19:52 2006 UTC

# Line 47 | Line 47 | module electrostatic_module
47    use vector_class
48    use simulation
49    use status
50 +  use interpolation
51   #ifdef IS_MPI
52    use mpiSimulation
53   #endif
# Line 54 | Line 55 | module electrostatic_module
55  
56    PRIVATE
57  
58 +
59   #define __FORTRAN90
60 + #include "UseTheForce/DarkSide/fInteractionMap.h"
61   #include "UseTheForce/DarkSide/fElectrostaticSummationMethod.h"
62 + #include "UseTheForce/DarkSide/fElectrostaticScreeningMethod.h"
63  
64 +
65    !! these prefactors convert the multipole interactions into kcal / mol
66    !! all were computed assuming distances are measured in angstroms
67    !! Charge-Charge, assuming charges are measured in electrons
68 <  real(kind=dp), parameter :: pre11 = 332.0637778_dp
68 >  real(kind=dp), parameter :: pre11 = 332.0637778d0
69    !! Charge-Dipole, assuming charges are measured in electrons, and
70    !! dipoles are measured in debyes
71 <  real(kind=dp), parameter :: pre12 = 69.13373_dp
71 >  real(kind=dp), parameter :: pre12 = 69.13373d0
72    !! Dipole-Dipole, assuming dipoles are measured in debyes
73 <  real(kind=dp), parameter :: pre22 = 14.39325_dp
73 >  real(kind=dp), parameter :: pre22 = 14.39325d0
74    !! Charge-Quadrupole, assuming charges are measured in electrons, and
75    !! quadrupoles are measured in 10^-26 esu cm^2
76    !! This unit is also known affectionately as an esu centi-barn.
77 <  real(kind=dp), parameter :: pre14 = 69.13373_dp
77 >  real(kind=dp), parameter :: pre14 = 69.13373d0
78  
79 <  !! variables to handle different summation methods for long-range electrostatics:
79 >  real(kind=dp), parameter :: zero = 0.0d0
80 >  
81 >  !! number of points for electrostatic splines
82 >  integer, parameter :: np = 100
83 >
84 >  !! variables to handle different summation methods for long-range
85 >  !! electrostatics:
86    integer, save :: summationMethod = NONE
87 +  integer, save :: screeningMethod = UNDAMPED
88    logical, save :: summationMethodChecked = .false.
89    real(kind=DP), save :: defaultCutoff = 0.0_DP
90 +  real(kind=DP), save :: defaultCutoff2 = 0.0_DP
91    logical, save :: haveDefaultCutoff = .false.
92    real(kind=DP), save :: dampingAlpha = 0.0_DP
93 +  real(kind=DP), save :: alpha2 = 0.0_DP
94    logical, save :: haveDampingAlpha = .false.
95 <  real(kind=DP), save :: dielectric = 0.0_DP
95 >  real(kind=DP), save :: dielectric = 1.0_DP
96    logical, save :: haveDielectric = .false.
83  real(kind=DP), save :: constERFC = 0.0_DP
97    real(kind=DP), save :: constEXP = 0.0_DP
98 <  logical, save :: haveDWAconstants = .false.
99 <  real(kind=dp), save :: rcuti = 0.0_dp
100 <  real(kind=dp), save :: rcuti2 = 0.0_dp
101 <  real(kind=dp), save :: rcuti3 = 0.0_dp
102 <  real(kind=dp), save :: rcuti4 = 0.0_dp
98 >  real(kind=dp), save :: rcuti = 0.0_DP
99 >  real(kind=dp), save :: rcuti2 = 0.0_DP
100 >  real(kind=dp), save :: rcuti3 = 0.0_DP
101 >  real(kind=dp), save :: rcuti4 = 0.0_DP
102 >  real(kind=dp), save :: alphaPi = 0.0_DP
103 >  real(kind=dp), save :: invRootPi = 0.0_DP
104 >  real(kind=dp), save :: rrf = 1.0_DP
105 >  real(kind=dp), save :: rt = 1.0_DP
106 >  real(kind=dp), save :: rrfsq = 1.0_DP
107 >  real(kind=dp), save :: preRF = 0.0_DP
108 >  real(kind=dp), save :: preRF2 = 0.0_DP
109 >  real(kind=dp), save :: f0 = 1.0_DP
110 >  real(kind=dp), save :: f1 = 1.0_DP
111 >  real(kind=dp), save :: f2 = 0.0_DP
112 >  real(kind=dp), save :: f3 = 0.0_DP
113 >  real(kind=dp), save :: f4 = 0.0_DP
114 >  real(kind=dp), save :: f0c = 1.0_DP
115 >  real(kind=dp), save :: f1c = 1.0_DP
116 >  real(kind=dp), save :: f2c = 0.0_DP
117 >  real(kind=dp), save :: f3c = 0.0_DP
118 >  real(kind=dp), save :: f4c = 0.0_DP
119 >  real(kind=dp), save :: df0 = 0.0_DP
120 >  type(cubicSpline), save :: f0spline
121 >  logical, save :: haveElectroSpline = .false.
122  
123  
124 + #if defined(__IFC) || defined(__PGI)
125 + ! error function for ifc version > 7.
126 +  double precision, external :: derfc
127 + #endif
128 +  
129    public :: setElectrostaticSummationMethod
130 +  public :: setScreeningMethod
131    public :: setElectrostaticCutoffRadius
132 <  public :: setDampedWolfAlpha
132 >  public :: setDampingAlpha
133    public :: setReactionFieldDielectric
134 +  public :: buildElectroSpline
135    public :: newElectrostaticType
136    public :: setCharge
137    public :: setDipoleMoment
# Line 101 | Line 140 | module electrostatic_module
140    public :: doElectrostaticPair
141    public :: getCharge
142    public :: getDipoleMoment
104  public :: pre22
143    public :: destroyElectrostaticTypes
144 +  public :: self_self
145 +  public :: rf_self_excludes
146  
147 +
148    type :: Electrostatic
149       integer :: c_ident
150       logical :: is_Charge = .false.
# Line 119 | Line 160 | contains
160  
161    type(Electrostatic), dimension(:), allocatable :: ElectrostaticMap
162  
163 +  logical, save :: hasElectrostaticMap
164 +
165   contains
166  
167    subroutine setElectrostaticSummationMethod(the_ESM)
# Line 129 | Line 172 | contains
172      endif
173  
174      summationMethod = the_ESM
175 +
176    end subroutine setElectrostaticSummationMethod
177  
178 <  subroutine setElectrostaticCutoffRadius(thisRcut)
178 >  subroutine setScreeningMethod(the_SM)
179 >    integer, intent(in) :: the_SM    
180 >    screeningMethod = the_SM
181 >  end subroutine setScreeningMethod
182 >
183 >  subroutine setElectrostaticCutoffRadius(thisRcut, thisRsw)
184      real(kind=dp), intent(in) :: thisRcut
185 +    real(kind=dp), intent(in) :: thisRsw
186      defaultCutoff = thisRcut
187 +    defaultCutoff2 = defaultCutoff*defaultCutoff
188 +    rrf = defaultCutoff
189 +    rt = thisRsw
190      haveDefaultCutoff = .true.
191    end subroutine setElectrostaticCutoffRadius
192  
193 <  subroutine setDampedWolfAlpha(thisAlpha)
193 >  subroutine setDampingAlpha(thisAlpha)
194      real(kind=dp), intent(in) :: thisAlpha
195      dampingAlpha = thisAlpha
196 +    alpha2 = dampingAlpha*dampingAlpha
197      haveDampingAlpha = .true.
198 <  end subroutine setDampedWolfAlpha
198 >  end subroutine setDampingAlpha
199    
200    subroutine setReactionFieldDielectric(thisDielectric)
201      real(kind=dp), intent(in) :: thisDielectric
# Line 149 | Line 203 | contains
203      haveDielectric = .true.
204    end subroutine setReactionFieldDielectric
205  
206 +  subroutine buildElectroSpline()
207 +    real( kind = dp ), dimension(np) :: xvals, yvals
208 +    real( kind = dp ) :: dx, rmin, rval
209 +    integer :: i
210 +
211 +    rmin = 0.0d0
212 +
213 +    dx = (defaultCutoff-rmin) / dble(np-1)
214 +    
215 +    do i = 1, np
216 +       rval = rmin + dble(i-1)*dx
217 +       xvals(i) = rval
218 +       yvals(i) = derfc(dampingAlpha*rval)
219 +    enddo
220 +
221 +    call newSpline(f0spline, xvals, yvals, .true.)
222 +
223 +    haveElectroSpline = .true.
224 +  end subroutine buildElectroSpline
225 +
226    subroutine newElectrostaticType(c_ident, is_Charge, is_Dipole, &
227         is_SplitDipole, is_Quadrupole, is_Tap, status)
228  
# Line 176 | Line 250 | contains
250            return
251         end if
252  
253 <       if (.not. allocated(ElectrostaticMap)) then
180 <          allocate(ElectrostaticMap(nAtypes))
181 <       endif
253 >       allocate(ElectrostaticMap(nAtypes))
254  
255      end if
256  
# Line 196 | Line 268 | contains
268      ElectrostaticMap(myATID)%is_Quadrupole = is_Quadrupole
269      ElectrostaticMap(myATID)%is_Tap = is_Tap
270  
271 +    hasElectrostaticMap = .true.
272 +
273    end subroutine newElectrostaticType
274  
275    subroutine setCharge(c_ident, charge, status)
# Line 207 | Line 281 | contains
281      status = 0
282      myATID = getFirstMatchingElement(atypes, "c_ident", c_ident)
283  
284 <    if (.not.allocated(ElectrostaticMap)) then
284 >    if (.not.hasElectrostaticMap) then
285         call handleError("electrostatic", "no ElectrostaticMap was present before first call of setCharge!")
286         status = -1
287         return
# Line 237 | Line 311 | contains
311      status = 0
312      myATID = getFirstMatchingElement(atypes, "c_ident", c_ident)
313  
314 <    if (.not.allocated(ElectrostaticMap)) then
314 >    if (.not.hasElectrostaticMap) then
315         call handleError("electrostatic", "no ElectrostaticMap was present before first call of setDipoleMoment!")
316         status = -1
317         return
# Line 267 | Line 341 | contains
341      status = 0
342      myATID = getFirstMatchingElement(atypes, "c_ident", c_ident)
343  
344 <    if (.not.allocated(ElectrostaticMap)) then
344 >    if (.not.hasElectrostaticMap) then
345         call handleError("electrostatic", "no ElectrostaticMap was present before first call of setSplitDipoleDistance!")
346         status = -1
347         return
# Line 297 | Line 371 | contains
371      status = 0
372      myATID = getFirstMatchingElement(atypes, "c_ident", c_ident)
373  
374 <    if (.not.allocated(ElectrostaticMap)) then
374 >    if (.not.hasElectrostaticMap) then
375         call handleError("electrostatic", "no ElectrostaticMap was present before first call of setQuadrupoleMoments!")
376         status = -1
377         return
# Line 328 | Line 402 | contains
402      integer :: localError
403      real(kind=dp) :: c
404  
405 <    if (.not.allocated(ElectrostaticMap)) then
405 >    if (.not.hasElectrostaticMap) then
406         call handleError("electrostatic", "no ElectrostaticMap was present before first call of getCharge!")
407         return
408      end if
# Line 346 | Line 420 | contains
420      integer :: localError
421      real(kind=dp) :: dm
422  
423 <    if (.not.allocated(ElectrostaticMap)) then
423 >    if (.not.hasElectrostaticMap) then
424         call handleError("electrostatic", "no ElectrostaticMap was present before first call of getDipoleMoment!")
425         return
426      end if
# Line 370 | Line 444 | contains
444      rcuti3 = rcuti2*rcuti
445      rcuti4 = rcuti2*rcuti2
446  
447 <    if (summationMethod .eq. DAMPED_WOLF) then
448 <       if (.not.haveDWAconstants) then
449 <          
376 <          if (.not.haveDampingAlpha) then
377 <             call handleError("checkSummationMethod", "no Damping Alpha set!")
378 <          endif
379 <          
380 <          if (.not.haveDefaultCutoff) then
381 <             call handleError("checkSummationMethod", "no Default Cutoff set!")
382 <          endif
383 <
384 <          constEXP = exp(-dampingAlpha*dampingAlpha*defaultCutoff*defaultCutoff)
385 <          constERFC = erfc(dampingAlpha*defaultCutoff)
386 <          
387 <          haveDWAconstants = .true.
447 >    if (screeningMethod .eq. DAMPED) then
448 >       if (.not.haveDampingAlpha) then
449 >          call handleError("checkSummationMethod", "no Damping Alpha set!")
450         endif
451 +      
452 +       if (.not.haveDefaultCutoff) then
453 +          call handleError("checkSummationMethod", "no Default Cutoff set!")
454 +       endif
455 +
456 +       constEXP = exp(-alpha2*defaultCutoff2)
457 +       invRootPi = 0.56418958354775628695d0
458 +       alphaPi = 2.0d0*dampingAlpha*invRootPi
459 +       f0c = derfc(dampingAlpha*defaultCutoff)
460 +       f1c = alphaPi*defaultCutoff*constEXP + f0c
461 +       f2c = alphaPi*2.0d0*alpha2*constEXP
462 +       f3c = alphaPi*2.0d0*alpha2*constEXP*defaultCutoff2*defaultCutoff
463      endif
464  
465      if (summationMethod .eq. REACTION_FIELD) then
466 <       if (.not.haveDielectric) then
467 <          call handleError("checkSummationMethod", "no reaction field Dielectric set!")
466 >       if (haveDielectric) then
467 >          defaultCutoff2 = defaultCutoff*defaultCutoff
468 >          preRF = (dielectric-1.0d0) / &
469 >               ((2.0d0*dielectric+1.0d0)*defaultCutoff2*defaultCutoff)
470 >          preRF2 = 2.0d0*preRF
471 >       else
472 >          call handleError("checkSummationMethod", "Dielectric not set")
473         endif
474 +      
475      endif
476  
477 +    if (.not.haveElectroSpline) then
478 +       call buildElectroSpline()
479 +    end if
480 +
481      summationMethodChecked = .true.
482    end subroutine checkSummationMethod
483  
484  
485 <
402 <  subroutine doElectrostaticPair(atom1, atom2, d, rij, r2, sw, &
485 >  subroutine doElectrostaticPair(atom1, atom2, d, rij, r2, rcut, sw, &
486         vpair, fpair, pot, eFrame, f, t, do_pot)
487  
488      logical, intent(in) :: do_pot
# Line 407 | Line 490 | contains
490      integer, intent(in) :: atom1, atom2
491      integer :: localError
492  
493 <    real(kind=dp), intent(in) :: rij, r2, sw
493 >    real(kind=dp), intent(in) :: rij, r2, sw, rcut
494      real(kind=dp), intent(in), dimension(3) :: d
495      real(kind=dp), intent(inout) :: vpair
496 <    real(kind=dp), intent(inout), dimension(3) :: fpair
496 >    real(kind=dp), intent(inout), dimension(3) :: fpair    
497  
498 <    real( kind = dp ) :: pot, swi
498 >    real( kind = dp ) :: pot
499      real( kind = dp ), dimension(9,nLocal) :: eFrame
500      real( kind = dp ), dimension(3,nLocal) :: f
501 +    real( kind = dp ), dimension(3,nLocal) :: felec
502      real( kind = dp ), dimension(3,nLocal) :: t
503  
504      real (kind = dp), dimension(3) :: ux_i, uy_i, uz_i
# Line 432 | Line 516 | contains
516      real (kind=dp) :: cx_i, cy_i, cz_i
517      real (kind=dp) :: cx_j, cy_j, cz_j
518      real (kind=dp) :: cx2, cy2, cz2
519 <    real (kind=dp) :: ct_i, ct_j, ct_ij, a1
519 >    real (kind=dp) :: ct_i, ct_j, ct_ij, a0, a1
520      real (kind=dp) :: riji, ri, ri2, ri3, ri4
521      real (kind=dp) :: pref, vterm, epot, dudr, vterm1, vterm2
522      real (kind=dp) :: xhat, yhat, zhat
523      real (kind=dp) :: dudx, dudy, dudz
524 <    real (kind=dp) :: scale, sc2, bigR, switcher, dswitcher
524 >    real (kind=dp) :: scale, sc2, bigR
525 >    real (kind=dp) :: varEXP
526 >    real (kind=dp) :: pot_term
527 >    real (kind=dp) :: preVal, rfVal
528 >    real (kind=dp) :: f13, f134
529  
442    if (.not.allocated(ElectrostaticMap)) then
443       call handleError("electrostatic", "no ElectrostaticMap was present before first call of do_electrostatic_pair!")
444       return
445    end if
446
530      if (.not.summationMethodChecked) then
531         call checkSummationMethod()
532      endif
533  
451
534   #ifdef IS_MPI
535      me1 = atid_Row(atom1)
536      me2 = atid_Col(atom2)
# Line 460 | Line 542 | contains
542      !! some variables we'll need independent of electrostatic type:
543  
544      riji = 1.0d0 / rij
545 <
545 >  
546      xhat = d(1) * riji
547      yhat = d(2) * riji
548      zhat = d(3) * riji
549  
468    swi = 1.0d0 / sw
469
550      !! logicals
551      i_is_Charge = ElectrostaticMap(me1)%is_Charge
552      i_is_Dipole = ElectrostaticMap(me1)%is_Dipole
# Line 500 | Line 580 | contains
580         if (i_is_SplitDipole) then
581            d_i = ElectrostaticMap(me1)%split_dipole_distance
582         endif
583 <
583 >       duduz_i = zero
584      endif
585  
586      if (i_is_Quadrupole) then
# Line 531 | Line 611 | contains
611         cx_i = ux_i(1)*xhat + ux_i(2)*yhat + ux_i(3)*zhat
612         cy_i = uy_i(1)*xhat + uy_i(2)*yhat + uy_i(3)*zhat
613         cz_i = uz_i(1)*xhat + uz_i(2)*yhat + uz_i(3)*zhat
614 +       dudux_i = zero
615 +       duduy_i = zero
616 +       duduz_i = zero
617      endif
618  
619      if (j_is_Charge) then
# Line 553 | Line 636 | contains
636         if (j_is_SplitDipole) then
637            d_j = ElectrostaticMap(me2)%split_dipole_distance
638         endif
639 +       duduz_j = zero
640      endif
641  
642      if (j_is_Quadrupole) then
# Line 583 | Line 667 | contains
667         cx_j = ux_j(1)*xhat + ux_j(2)*yhat + ux_j(3)*zhat
668         cy_j = uy_j(1)*xhat + uy_j(2)*yhat + uy_j(3)*zhat
669         cz_j = uz_j(1)*xhat + uz_j(2)*yhat + uz_j(3)*zhat
670 +       dudux_j = zero
671 +       duduy_j = zero
672 +       duduz_j = zero
673      endif
674    
675 < !!$    switcher = 1.0d0
676 < !!$    dswitcher = 0.0d0
677 < !!$    ebalance = 0.0d0
678 < !!$    ! weaken the dipole interaction at close range for TAP water
592 < !!$    if (j_is_Tap .and. i_is_Tap) then
593 < !!$      call calc_switch(rij, mu_i, switcher, dswitcher)
594 < !!$    endif
675 >    epot = zero
676 >    dudx = zero
677 >    dudy = zero
678 >    dudz = zero  
679  
596    epot = 0.0_dp
597    dudx = 0.0_dp
598    dudy = 0.0_dp
599    dudz = 0.0_dp
600
601    dudux_i = 0.0_dp
602    duduy_i = 0.0_dp
603    duduz_i = 0.0_dp
604
605    dudux_j = 0.0_dp
606    duduy_j = 0.0_dp
607    duduz_j = 0.0_dp
608
680      if (i_is_Charge) then
681  
682         if (j_is_Charge) then
683 <
684 <          if (summationMethod .eq. 1) then
685 <             vterm = pre11 * q_i * q_j * (riji - rcuti)
683 >          if (screeningMethod .eq. DAMPED) then
684 >             call lookupUniformSpline1d(f0spline, rij, f0, df0)
685 >             f1 = -rij * df0 + f0
686 > !!$             f0 = derfc(dampingAlpha*rij)
687 > !!$             varEXP = exp(-alpha2*rij*rij)
688 > !!$             f1 = alphaPi*rij*varEXP + f0
689 >          endif
690  
691 <             vpair = vpair + vterm
692 <             epot = epot + sw * vterm
691 >          preVal = pre11 * q_i * q_j
692 >
693 >          if (summationMethod .eq. SHIFTED_POTENTIAL) then
694 >             vterm = preVal * (riji*f0 - rcuti*f0c)
695              
696 <             dudr  = - sw * pre11 * q_i * q_j * (riji*riji*riji - rcuti2*rcuti)
696 >             dudr  = -sw * preVal * riji * riji * f1
697 >  
698 >          elseif (summationMethod .eq. SHIFTED_FORCE) then
699 >             vterm = preVal * ( riji*f0 - rcuti*f0c + &
700 >                  f1c*rcuti2*(rij-defaultCutoff) )
701              
702 <             dudx = dudx + dudr * d(1)
703 <             dudy = dudy + dudr * d(2)
704 <             dudz = dudz + dudr * d(3)
705 <
702 >             dudr  = -sw*preVal * (riji*riji*f1 - rcuti2*f1c)
703 >  
704 >          elseif (summationMethod .eq. REACTION_FIELD) then
705 >             rfVal = preRF*rij*rij
706 >             vterm = preVal * ( riji + rfVal )
707 >            
708 >             dudr  = sw * preVal * ( 2.0d0*rfVal - riji )*riji
709 >  
710            else
711 <             vterm = pre11 * q_i * q_j * riji
627 <
628 <             vpair = vpair + vterm
629 <             epot = epot + sw * vterm
711 >             vterm = preVal * riji*f0
712              
713 <             dudr  = - sw * vterm * riji
714 <            
633 <             dudx = dudx + dudr * xhat
634 <             dudy = dudy + dudr * yhat
635 <             dudz = dudz + dudr * zhat
636 <
713 >             dudr  = - sw * preVal * riji*riji*f1
714 >  
715            endif
716  
717 +          vpair = vpair + vterm
718 +          epot = epot + sw*vterm
719 +
720 +          dudx = dudx + dudr * xhat
721 +          dudy = dudy + dudr * yhat
722 +          dudz = dudz + dudr * zhat
723 +
724         endif
725  
726         if (j_is_Dipole) then
727 +          if (screeningMethod .eq. DAMPED) then
728 +             call lookupUniformSpline1d(f0spline, rij, f0, df0)
729 +             f1 = -rij * df0 + f0
730 +             f3 = -2.0d0*alpha2*df0*rij*rij*rij
731 + !!$             f0 = derfc(dampingAlpha*rij)
732 + !!$             varEXP = exp(-alpha2*rij*rij)
733 + !!$             f1 = alphaPi*rij*varEXP + f0
734 + !!$             f3 = alphaPi*2.0d0*alpha2*varEXP*rij*rij*rij
735 +          endif
736  
737 <          pref = sw * pre12 * q_i * mu_j
737 >          pref = pre12 * q_i * mu_j
738  
739 <          if (summationMethod .eq. 1) then
739 >          if (summationMethod .eq. REACTION_FIELD) then
740               ri2 = riji * riji
741               ri3 = ri2 * riji
742 <
743 <             vterm = - pref * ct_j * (ri2 - rcuti2)
744 <             vpair = vpair + swi*vterm
745 <             epot = epot + vterm
742 >    
743 >             vterm = - pref * ct_j * ( ri2 - preRF2*rij )
744 >             vpair = vpair + vterm
745 >             epot = epot + sw*vterm
746              
747               !! this has a + sign in the () because the rij vector is
748               !! r_j - r_i and the charge-dipole potential takes the origin
749               !! as the point dipole, which is atom j in this case.
750              
751 <             dudx = dudx - pref * ( ri3*( uz_j(1) - 3.0d0*ct_j*xhat) &
752 <                  - rcuti3*( uz_j(1) - 3.0d0*ct_j*d(1)*rcuti ) )
753 <             dudy = dudy - pref * ( ri3*( uz_j(2) - 3.0d0*ct_j*yhat) &
754 <                  - rcuti3*( uz_j(2) - 3.0d0*ct_j*d(2)*rcuti ) )
755 <             dudz = dudz - pref * ( ri3*( uz_j(3) - 3.0d0*ct_j*zhat) &
756 <                  - rcuti3*( uz_j(3) - 3.0d0*ct_j*d(3)*rcuti ) )
757 <            
758 <             duduz_j(1) = duduz_j(1) - pref*( ri2*xhat - d(1)*rcuti3 )
759 <             duduz_j(2) = duduz_j(2) - pref*( ri2*yhat - d(2)*rcuti3 )
666 <             duduz_j(3) = duduz_j(3) - pref*( ri2*zhat - d(3)*rcuti3 )
751 >             dudx = dudx - sw*pref*( ri3*(uz_j(1) - 3.0d0*ct_j*xhat) - &
752 >                                     preRF2*uz_j(1) )
753 >             dudy = dudy - sw*pref*( ri3*(uz_j(2) - 3.0d0*ct_j*yhat) - &
754 >                                     preRF2*uz_j(2) )
755 >             dudz = dudz - sw*pref*( ri3*(uz_j(3) - 3.0d0*ct_j*zhat) - &
756 >                                     preRF2*uz_j(3) )        
757 >             duduz_j(1) = duduz_j(1) - sw*pref * xhat * ( ri2 - preRF2*rij )
758 >             duduz_j(2) = duduz_j(2) - sw*pref * yhat * ( ri2 - preRF2*rij )
759 >             duduz_j(3) = duduz_j(3) - sw*pref * zhat * ( ri2 - preRF2*rij )
760  
761            else
762               if (j_is_SplitDipole) then
763 <                BigR = sqrt(r2 + 0.25_dp * d_j * d_j)
764 <                ri = 1.0_dp / BigR
763 >                BigR = sqrt(r2 + 0.25d0 * d_j * d_j)
764 >                ri = 1.0d0 / BigR
765                  scale = rij * ri
766               else
767                  ri = riji
768 <                scale = 1.0_dp
768 >                scale = 1.0d0
769               endif
770              
771               ri2 = ri * ri
772               ri3 = ri2 * ri
773               sc2 = scale * scale
774 +
775 +             pot_term =  ri2 * scale * f1
776 +             vterm = - pref * ct_j * pot_term
777 +             vpair = vpair + vterm
778 +             epot = epot + sw*vterm
779              
682             vterm = - pref * ct_j * ri2 * scale
683             vpair = vpair + swi * vterm
684             epot = epot + vterm
685            
780               !! this has a + sign in the () because the rij vector is
781               !! r_j - r_i and the charge-dipole potential takes the origin
782               !! as the point dipole, which is atom j in this case.
783              
784 <             dudx = dudx - pref * ri3 * ( uz_j(1) - 3.0d0*ct_j*xhat*sc2)
785 <             dudy = dudy - pref * ri3 * ( uz_j(2) - 3.0d0*ct_j*yhat*sc2)
786 <             dudz = dudz - pref * ri3 * ( uz_j(3) - 3.0d0*ct_j*zhat*sc2)
787 <            
788 <             duduz_j(1) = duduz_j(1) - pref * ri2 * xhat * scale
789 <             duduz_j(2) = duduz_j(2) - pref * ri2 * yhat * scale
790 <             duduz_j(3) = duduz_j(3) - pref * ri2 * zhat * scale
784 >             dudx = dudx - sw*pref * ri3 * ( uz_j(1)*f1 - &
785 >                  ct_j*xhat*sc2*( 3.0d0*f1 + f3 ) )
786 >             dudy = dudy - sw*pref * ri3 * ( uz_j(2)*f1 - &
787 >                  ct_j*yhat*sc2*( 3.0d0*f1 + f3 ) )
788 >             dudz = dudz - sw*pref * ri3 * ( uz_j(3)*f1 - &
789 >                  ct_j*zhat*sc2*( 3.0d0*f1 + f3 ) )
790 >                          
791 >             duduz_j(1) = duduz_j(1) - sw*pref * pot_term * xhat
792 >             duduz_j(2) = duduz_j(2) - sw*pref * pot_term * yhat
793 >             duduz_j(3) = duduz_j(3) - sw*pref * pot_term * zhat
794  
795            endif
796         endif
797  
798         if (j_is_Quadrupole) then
799 +          if (screeningMethod .eq. DAMPED) then
800 +             call lookupUniformSpline1d(f0spline, rij, f0, df0)
801 + !!$             f0 = derfc(dampingAlpha*rij)
802 + !!$             varEXP = exp(-alpha2*rij*rij)
803 + !!$             f1 = alphaPi*rij*varEXP + f0
804 + !!$             f2 = alphaPi*2.0d0*alpha2*varEXP
805 +             f1 = -rij * df0 + f0
806 +             f2 = -2.0d0*alpha2*df0
807 +             f3 = f2*rij*rij*rij
808 +             f4 = 2.0d0*alpha2*f2*rij
809 +          endif
810 +
811            ri2 = riji * riji
812            ri3 = ri2 * riji
813            ri4 = ri2 * ri2
# Line 706 | Line 815 | contains
815            cy2 = cy_j * cy_j
816            cz2 = cz_j * cz_j
817  
818 <
819 <          pref =  sw * pre14 * q_i / 3.0_dp
820 <
821 <          if (summationMethod .eq. 1) then
822 <             vterm1 = pref * ri3*( qxx_j * (3.0_dp*cx2 - 1.0_dp) + &
823 <                  qyy_j * (3.0_dp*cy2 - 1.0_dp) + &
824 <                  qzz_j * (3.0_dp*cz2 - 1.0_dp) )
716 <             vterm2 = pref * rcuti3*( qxx_j * (3.0_dp*cx2 - 1.0_dp) + &
717 <                  qyy_j * (3.0_dp*cy2 - 1.0_dp) + &
718 <                  qzz_j * (3.0_dp*cz2 - 1.0_dp) )
719 <             vpair = vpair + swi*( vterm1 - vterm2 )
720 <             epot = epot + ( vterm1 - vterm2 )
721 <            
722 <             dudx = dudx - (5.0_dp * &
723 <                  (vterm1*riji*xhat - vterm2*rcuti2*d(1))) + pref * ( &
724 <                  (ri4 - rcuti4)*(qxx_j*(6.0_dp*cx_j*ux_j(1)) - &
725 <                  qxx_j*2.0_dp*(xhat - rcuti*d(1))) + &
726 <                  (ri4 - rcuti4)*(qyy_j*(6.0_dp*cy_j*uy_j(1)) - &
727 <                  qyy_j*2.0_dp*(xhat - rcuti*d(1))) + &
728 <                  (ri4 - rcuti4)*(qzz_j*(6.0_dp*cz_j*uz_j(1)) - &
729 <                  qzz_j*2.0_dp*(xhat - rcuti*d(1))) )
730 <             dudy = dudy - (5.0_dp * &
731 <                  (vterm1*riji*yhat - vterm2*rcuti2*d(2))) + pref * ( &
732 <                  (ri4 - rcuti4)*(qxx_j*(6.0_dp*cx_j*ux_j(2)) - &
733 <                  qxx_j*2.0_dp*(yhat - rcuti*d(2))) + &
734 <                  (ri4 - rcuti4)*(qyy_j*(6.0_dp*cy_j*uy_j(2)) - &
735 <                  qyy_j*2.0_dp*(yhat - rcuti*d(2))) + &
736 <                  (ri4 - rcuti4)*(qzz_j*(6.0_dp*cz_j*uz_j(2)) - &
737 <                  qzz_j*2.0_dp*(yhat - rcuti*d(2))) )
738 <             dudz = dudz - (5.0_dp * &
739 <                  (vterm1*riji*zhat - vterm2*rcuti2*d(3))) + pref * ( &
740 <                  (ri4 - rcuti4)*(qxx_j*(6.0_dp*cx_j*ux_j(3)) - &
741 <                  qxx_j*2.0_dp*(zhat - rcuti*d(3))) + &
742 <                  (ri4 - rcuti4)*(qyy_j*(6.0_dp*cy_j*uy_j(3)) - &
743 <                  qyy_j*2.0_dp*(zhat - rcuti*d(3))) + &
744 <                  (ri4 - rcuti4)*(qzz_j*(6.0_dp*cz_j*uz_j(3)) - &
745 <                  qzz_j*2.0_dp*(zhat - rcuti*d(3))) )
746 <            
747 <             dudux_j(1) = dudux_j(1) + pref * (ri3*(qxx_j*6.0_dp*cx_j*xhat) - &
748 <                  rcuti4*(qxx_j*6.0_dp*cx_j*d(1)))
749 <             dudux_j(2) = dudux_j(2) + pref * (ri3*(qxx_j*6.0_dp*cx_j*yhat) - &
750 <                  rcuti4*(qxx_j*6.0_dp*cx_j*d(2)))
751 <             dudux_j(3) = dudux_j(3) + pref * (ri3*(qxx_j*6.0_dp*cx_j*zhat) - &
752 <                  rcuti4*(qxx_j*6.0_dp*cx_j*d(3)))
753 <            
754 <             duduy_j(1) = duduy_j(1) + pref * (ri3*(qyy_j*6.0_dp*cy_j*xhat) - &
755 <                  rcuti4*(qyy_j*6.0_dp*cx_j*d(1)))
756 <             duduy_j(2) = duduy_j(2) + pref * (ri3*(qyy_j*6.0_dp*cy_j*yhat) - &
757 <                  rcuti4*(qyy_j*6.0_dp*cx_j*d(2)))
758 <             duduy_j(3) = duduy_j(3) + pref * (ri3*(qyy_j*6.0_dp*cy_j*zhat) - &
759 <                  rcuti4*(qyy_j*6.0_dp*cx_j*d(3)))
760 <            
761 <             duduz_j(1) = duduz_j(1) + pref * (ri3*(qzz_j*6.0_dp*cz_j*xhat) - &
762 <                  rcuti4*(qzz_j*6.0_dp*cx_j*d(1)))
763 <             duduz_j(2) = duduz_j(2) + pref * (ri3*(qzz_j*6.0_dp*cz_j*yhat) - &
764 <                  rcuti4*(qzz_j*6.0_dp*cx_j*d(2)))
765 <             duduz_j(3) = duduz_j(3) + pref * (ri3*(qzz_j*6.0_dp*cz_j*zhat) - &
766 <                  rcuti4*(qzz_j*6.0_dp*cx_j*d(3)))
767 <        
768 <          else
769 <             vterm = pref * ri3 * (qxx_j * (3.0_dp*cx2 - 1.0_dp) + &
770 <                  qyy_j * (3.0_dp*cy2 - 1.0_dp) + &
771 <                  qzz_j * (3.0_dp*cz2 - 1.0_dp))
772 <             vpair = vpair + swi * vterm
773 <             epot = epot + vterm
774 <            
775 <             dudx = dudx - 5.0_dp*vterm*riji*xhat + pref * ri4 * ( &
776 <                  qxx_j*(6.0_dp*cx_j*ux_j(1) - 2.0_dp*xhat) + &
777 <                  qyy_j*(6.0_dp*cy_j*uy_j(1) - 2.0_dp*xhat) + &
778 <                  qzz_j*(6.0_dp*cz_j*uz_j(1) - 2.0_dp*xhat) )
779 <             dudy = dudy - 5.0_dp*vterm*riji*yhat + pref * ri4 * ( &
780 <                  qxx_j*(6.0_dp*cx_j*ux_j(2) - 2.0_dp*yhat) + &
781 <                  qyy_j*(6.0_dp*cy_j*uy_j(2) - 2.0_dp*yhat) + &
782 <                  qzz_j*(6.0_dp*cz_j*uz_j(2) - 2.0_dp*yhat) )
783 <             dudz = dudz - 5.0_dp*vterm*riji*zhat + pref * ri4 * ( &
784 <                  qxx_j*(6.0_dp*cx_j*ux_j(3) - 2.0_dp*zhat) + &
785 <                  qyy_j*(6.0_dp*cy_j*uy_j(3) - 2.0_dp*zhat) + &
786 <                  qzz_j*(6.0_dp*cz_j*uz_j(3) - 2.0_dp*zhat) )
787 <            
788 <             dudux_j(1) = dudux_j(1) + pref * ri3*(qxx_j*6.0_dp*cx_j*xhat)
789 <             dudux_j(2) = dudux_j(2) + pref * ri3*(qxx_j*6.0_dp*cx_j*yhat)
790 <             dudux_j(3) = dudux_j(3) + pref * ri3*(qxx_j*6.0_dp*cx_j*zhat)
791 <            
792 <             duduy_j(1) = duduy_j(1) + pref * ri3*(qyy_j*6.0_dp*cy_j*xhat)
793 <             duduy_j(2) = duduy_j(2) + pref * ri3*(qyy_j*6.0_dp*cy_j*yhat)
794 <             duduy_j(3) = duduy_j(3) + pref * ri3*(qyy_j*6.0_dp*cy_j*zhat)
795 <            
796 <             duduz_j(1) = duduz_j(1) + pref * ri3*(qzz_j*6.0_dp*cz_j*xhat)
797 <             duduz_j(2) = duduz_j(2) + pref * ri3*(qzz_j*6.0_dp*cz_j*yhat)
798 <             duduz_j(3) = duduz_j(3) + pref * ri3*(qzz_j*6.0_dp*cz_j*zhat)
818 >          pref =  pre14 * q_i / 3.0d0
819 >          pot_term = ri3*(qxx_j * (3.0d0*cx2 - 1.0d0) + &
820 >               qyy_j * (3.0d0*cy2 - 1.0d0) + &
821 >               qzz_j * (3.0d0*cz2 - 1.0d0))
822 >          vterm = pref * (pot_term*f1 + (qxx_j*cx2 + qyy_j*cy2 + qzz_j*cz2)*f2)
823 >          vpair = vpair + vterm
824 >          epot = epot + sw*vterm
825            
826 <          endif
826 >          dudx = dudx - sw*pref*pot_term*riji*xhat*(5.0d0*f1 + f3) + &
827 >               sw*pref*ri4 * ( &
828 >               qxx_j*(2.0d0*cx_j*ux_j(1)*(3.0d0*f1 + f3) - 2.0d0*xhat*f1) + &
829 >               qyy_j*(2.0d0*cy_j*uy_j(1)*(3.0d0*f1 + f3) - 2.0d0*xhat*f1) + &
830 >               qzz_j*(2.0d0*cz_j*uz_j(1)*(3.0d0*f1 + f3) - 2.0d0*xhat*f1) ) &
831 >               + (qxx_j*cx2 + qyy_j*cy2 + qzz_j*cz2)*f4
832 >          dudy = dudy - sw*pref*pot_term*riji*yhat*(5.0d0*f1 + f3) + &
833 >               sw*pref*ri4 * ( &
834 >               qxx_j*(2.0d0*cx_j*ux_j(2)*(3.0d0*f1 + f3) - 2.0d0*yhat*f1) + &
835 >               qyy_j*(2.0d0*cy_j*uy_j(2)*(3.0d0*f1 + f3) - 2.0d0*yhat*f1) + &
836 >               qzz_j*(2.0d0*cz_j*uz_j(2)*(3.0d0*f1 + f3) - 2.0d0*yhat*f1) ) &
837 >               + (qxx_j*cx2 + qyy_j*cy2 + qzz_j*cz2)*f4
838 >          dudz = dudz - sw*pref*pot_term*riji*zhat*(5.0d0*f1 + f3) + &
839 >               sw*pref*ri4 * ( &
840 >               qxx_j*(2.0d0*cx_j*ux_j(3)*(3.0d0*f1 + f3) - 2.0d0*zhat*f1) + &
841 >               qyy_j*(2.0d0*cy_j*uy_j(3)*(3.0d0*f1 + f3) - 2.0d0*zhat*f1) + &
842 >               qzz_j*(2.0d0*cz_j*uz_j(3)*(3.0d0*f1 + f3) - 2.0d0*zhat*f1) ) &
843 >               + (qxx_j*cx2 + qyy_j*cy2 + qzz_j*cz2)*f4
844 >          
845 >          dudux_j(1) = dudux_j(1) + sw*pref*ri3*( (qxx_j*2.0d0*cx_j*xhat) &
846 >               * (3.0d0*f1 + f3) )
847 >          dudux_j(2) = dudux_j(2) + sw*pref*ri3*( (qxx_j*2.0d0*cx_j*yhat) &
848 >               * (3.0d0*f1 + f3) )
849 >          dudux_j(3) = dudux_j(3) + sw*pref*ri3*( (qxx_j*2.0d0*cx_j*zhat) &
850 >               * (3.0d0*f1 + f3) )
851 >          
852 >          duduy_j(1) = duduy_j(1) + sw*pref*ri3*( (qyy_j*2.0d0*cy_j*xhat) &
853 >               * (3.0d0*f1 + f3) )
854 >          duduy_j(2) = duduy_j(2) + sw*pref*ri3*( (qyy_j*2.0d0*cy_j*yhat) &
855 >               * (3.0d0*f1 + f3) )
856 >          duduy_j(3) = duduy_j(3) + sw*pref*ri3*( (qyy_j*2.0d0*cy_j*zhat) &
857 >               * (3.0d0*f1 + f3) )
858 >          
859 >          duduz_j(1) = duduz_j(1) + sw*pref*ri3*( (qzz_j*2.0d0*cz_j*xhat) &
860 >               * (3.0d0*f1 + f3) )
861 >          duduz_j(2) = duduz_j(2) + sw*pref*ri3*( (qzz_j*2.0d0*cz_j*yhat) &
862 >               * (3.0d0*f1 + f3) )
863 >          duduz_j(3) = duduz_j(3) + sw*pref*ri3*( (qzz_j*2.0d0*cz_j*zhat) &
864 >               * (3.0d0*f1 + f3) )
865 >          
866         endif
867      endif
868 <
868 >    
869      if (i_is_Dipole) then
870  
871         if (j_is_Charge) then
872 +          if (screeningMethod .eq. DAMPED) then
873 +             call lookupUniformSpline1d(f0spline, rij, f0, df0)
874 +             f1 = -rij * df0 + f0
875 +             f3 = -2.0d0*alpha2*df0*rij*rij*rij
876 + !!$             f0 = derfc(dampingAlpha*rij)
877 + !!$             varEXP = exp(-alpha2*rij*rij)
878 + !!$             f1 = alphaPi*rij*varEXP + f0
879 + !!$             f3 = alphaPi*2.0d0*alpha2*varEXP*rij*rij*rij
880 +          endif
881 +          
882 +          pref = pre12 * q_j * mu_i
883 +          
884 +          if (summationMethod .eq. SHIFTED_POTENTIAL) then
885 +             ri2 = riji * riji
886 +             ri3 = ri2 * riji
887 +            
888 +             pot_term = ri2*f1 - rcuti2*f1c
889 +             vterm = pref * ct_i * pot_term
890 +             vpair = vpair + vterm
891 +             epot = epot + sw*vterm
892 +            
893 +             dudx = dudx + sw*pref*( ri3*(uz_i(1)*f1-ct_i*xhat*(3.0d0*f1+f3)) )
894 +             dudy = dudy + sw*pref*( ri3*(uz_i(2)*f1-ct_i*yhat*(3.0d0*f1+f3)) )
895 +             dudz = dudz + sw*pref*( ri3*(uz_i(3)*f1-ct_i*zhat*(3.0d0*f1+f3)) )
896 +            
897 +             duduz_i(1) = duduz_i(1) + sw*pref * xhat * pot_term
898 +             duduz_i(2) = duduz_i(2) + sw*pref * yhat * pot_term
899 +             duduz_i(3) = duduz_i(3) + sw*pref * zhat * pot_term
900  
901 <          pref = sw * pre12 * q_j * mu_i
809 <
810 <          if (summationMethod .eq. 1) then
901 >          elseif (summationMethod .eq. SHIFTED_FORCE) then
902               ri2 = riji * riji
903               ri3 = ri2 * riji
904  
905 <             vterm = pref * ct_i * (ri2 - rcuti2)
906 <             vpair = vpair + swi * vterm
907 <             epot = epot + vterm
905 >             !! might need a -(f1c-f0c) or dct_i/dr in the derivative term...
906 >             pot_term = ri2*f1 - rcuti2*f1c + &
907 >                  (2.0d0*rcuti3*f1c + f2c)*( rij - defaultCutoff )
908 >             vterm = pref * ct_i * pot_term
909 >             vpair = vpair + vterm
910 >             epot = epot + sw*vterm
911              
912 <             !! this has a + sign in the () because the rij vector is
913 <             !! r_j - r_i and the charge-dipole potential takes the origin
914 <             !! as the point dipole, which is atom j in this case.
912 >             dudx = dudx + sw*pref*( ri3*(uz_i(1)*f1-ct_i*xhat*(3.0d0*f1+f3)) &
913 >                  - rcuti3*(uz_i(1)*f1c-ct_i*xhat*(3.0d0*f1c+f3c)) )
914 >             dudy = dudy + sw*pref*( ri3*(uz_i(2)*f1-ct_i*yhat*(3.0d0*f1+f3)) &
915 >                  - rcuti3*(uz_i(1)*f1c-ct_i*xhat*(3.0d0*f1c+f3c)) )
916 >             dudz = dudz + sw*pref*( ri3*(uz_i(3)*f1-ct_i*zhat*(3.0d0*f1+f3)) &
917 >                  - rcuti3*(uz_i(1)*f1c-ct_i*xhat*(3.0d0*f1c+f3c)) )
918              
919 <             dudx = dudx + pref * ( ri3*( uz_i(1) - 3.0d0*ct_i*xhat) &
920 <                  - rcuti3*( uz_i(1) - 3.0d0*ct_i*d(1)*rcuti ) )
921 <             dudy = dudy + pref * ( ri3*( uz_i(2) - 3.0d0*ct_i*yhat) &
922 <                  - rcuti3*( uz_i(2) - 3.0d0*ct_i*d(2)*rcuti ) )
923 <             dudz = dudz + pref * ( ri3*( uz_i(3) - 3.0d0*ct_i*zhat) &
924 <                  - rcuti3*( uz_i(3) - 3.0d0*ct_i*d(3)*rcuti ) )
919 >             duduz_i(1) = duduz_i(1) + sw*pref * xhat * pot_term
920 >             duduz_i(2) = duduz_i(2) + sw*pref * yhat * pot_term
921 >             duduz_i(3) = duduz_i(3) + sw*pref * zhat * pot_term
922 >
923 >          elseif (summationMethod .eq. REACTION_FIELD) then
924 >             ri2 = riji * riji
925 >             ri3 = ri2 * riji
926 >
927 >             vterm = pref * ct_i * ( ri2 - preRF2*rij )
928 >             vpair = vpair + vterm
929 >             epot = epot + sw*vterm
930              
931 <             duduz_i(1) = duduz_i(1) - pref*( ri2*xhat - d(1)*rcuti3 )
932 <             duduz_i(2) = duduz_i(2) - pref*( ri2*yhat - d(2)*rcuti3 )
933 <             duduz_i(3) = duduz_i(3) - pref*( ri2*zhat - d(3)*rcuti3 )
931 >             dudx = dudx + sw*pref * ( ri3*(uz_i(1) - 3.0d0*ct_i*xhat) - &
932 >                  preRF2*uz_i(1) )
933 >             dudy = dudy + sw*pref * ( ri3*(uz_i(2) - 3.0d0*ct_i*yhat) - &
934 >                  preRF2*uz_i(2) )
935 >             dudz = dudz + sw*pref * ( ri3*(uz_i(3) - 3.0d0*ct_i*zhat) - &
936 >                  preRF2*uz_i(3) )
937 >            
938 >             duduz_i(1) = duduz_i(1) + sw*pref * xhat * ( ri2 - preRF2*rij )
939 >             duduz_i(2) = duduz_i(2) + sw*pref * yhat * ( ri2 - preRF2*rij )
940 >             duduz_i(3) = duduz_i(3) + sw*pref * zhat * ( ri2 - preRF2*rij )
941  
942            else
943               if (i_is_SplitDipole) then
944 <                BigR = sqrt(r2 + 0.25_dp * d_i * d_i)
945 <                ri = 1.0_dp / BigR
944 >                BigR = sqrt(r2 + 0.25d0 * d_i * d_i)
945 >                ri = 1.0d0 / BigR
946                  scale = rij * ri
947               else
948                  ri = riji
949 <                scale = 1.0_dp
949 >                scale = 1.0d0
950               endif
951              
952               ri2 = ri * ri
953               ri3 = ri2 * ri
954               sc2 = scale * scale
955 +
956 +             pot_term = ri2 * f1 * scale
957 +             vterm = pref * ct_i * pot_term
958 +             vpair = vpair + vterm
959 +             epot = epot + sw*vterm
960              
961 <             vterm = pref * ct_i * ri2 * scale
962 <             vpair = vpair + swi * vterm
963 <             epot = epot + vterm
961 >             dudx = dudx + sw*pref * ri3 * ( uz_i(1)*f1 - &
962 >                  ct_i*xhat*sc2*( 3.0d0*f1 + f3 ) )
963 >             dudy = dudy + sw*pref * ri3 * ( uz_i(2)*f1 - &
964 >                  ct_i*yhat*sc2*( 3.0d0*f1 + f3 ) )
965 >             dudz = dudz + sw*pref * ri3 * ( uz_i(3)*f1 - &
966 >                  ct_i*zhat*sc2*( 3.0d0*f1 + f3 ) )
967              
968 <             dudx = dudx + pref * ri3 * ( uz_i(1) - 3.0d0 * ct_i * xhat*sc2)
969 <             dudy = dudy + pref * ri3 * ( uz_i(2) - 3.0d0 * ct_i * yhat*sc2)
970 <             dudz = dudz + pref * ri3 * ( uz_i(3) - 3.0d0 * ct_i * zhat*sc2)
854 <            
855 <             duduz_i(1) = duduz_i(1) + pref * ri2 * xhat * scale
856 <             duduz_i(2) = duduz_i(2) + pref * ri2 * yhat * scale
857 <             duduz_i(3) = duduz_i(3) + pref * ri2 * zhat * scale
968 >             duduz_i(1) = duduz_i(1) + sw*pref * pot_term * xhat
969 >             duduz_i(2) = duduz_i(2) + sw*pref * pot_term * yhat
970 >             duduz_i(3) = duduz_i(3) + sw*pref * pot_term * zhat
971            endif
972         endif
973 <
973 >      
974         if (j_is_Dipole) then
975 +          if (screeningMethod .eq. DAMPED) then
976 +             call lookupUniformSpline1d(f0spline, rij, f0, df0)
977 + !!$             f0 = derfc(dampingAlpha*rij)
978 + !!$             varEXP = exp(-alpha2*rij*rij)
979 + !!$             f1 = alphaPi*rij*varEXP + f0
980 + !!$             f2 = alphaPi*2.0d0*alpha2*varEXP
981 +             f1 = -rij * df0 + f0
982 +             f2 = -2.0d0*alpha2*df0
983 +             f3 = f2*rij*rij*rij
984 +             f4 = 2.0d0*alpha2*f3*rij*rij
985 +          endif
986  
987 <          pref = sw * pre22 * mu_i * mu_j
987 >          ct_ij = uz_i(1)*uz_j(1) + uz_i(2)*uz_j(2) + uz_i(3)*uz_j(3)
988 >          
989 >          ri2 = riji * riji
990 >          ri3 = ri2 * riji
991 >          ri4 = ri2 * ri2
992 >          
993 >          pref = pre22 * mu_i * mu_j
994  
995 <          if (summationMethod .eq. 1) then
996 <             ri2 = riji * riji
997 <             ri3 = ri2 * riji
998 <             ri4 = ri2 * ri2
999 <
870 <             vterm = pref * (ri3 - rcuti3) * (ct_ij - 3.0d0 * ct_i * ct_j)
871 <             vpair = vpair + swi * vterm
872 <             epot = epot + vterm
995 >          if (summationMethod .eq. REACTION_FIELD) then
996 >             vterm = pref*( ri3*(ct_ij - 3.0d0 * ct_i * ct_j) - &
997 >                  preRF2*ct_ij )
998 >             vpair = vpair + vterm
999 >             epot = epot + sw*vterm
1000              
1001               a1 = 5.0d0 * ct_i * ct_j - ct_ij
1002              
1003 <             dudx = dudx + pref*3.0d0*ri4 &
1004 <                  *(a1*xhat-ct_i*uz_j(1)-ct_j*uz_i(1)) - &
1005 <                  pref*3.0d0*rcuti4*(a1*rcuti*d(1)-ct_i*uz_j(1)-ct_j*uz_i(1))
1006 <             dudy = dudy + pref*3.0d0*ri4 &
1007 <                  *(a1*yhat-ct_i*uz_j(2)-ct_j*uz_i(2)) - &
1008 <                  pref*3.0d0*rcuti4*(a1*rcuti*d(2)-ct_i*uz_j(2)-ct_j*uz_i(2))
882 <             dudz = dudz + pref*3.0d0*ri4 &
883 <                  *(a1*zhat-ct_i*uz_j(3)-ct_j*uz_i(3)) - &
884 <                  pref*3.0d0*rcuti4*(a1*rcuti*d(3)-ct_i*uz_j(3)-ct_j*uz_i(3))
1003 >             dudx = dudx + sw*pref*3.0d0*ri4 &
1004 >                             * (a1*xhat-ct_i*uz_j(1)-ct_j*uz_i(1))
1005 >             dudy = dudy + sw*pref*3.0d0*ri4 &
1006 >                             * (a1*yhat-ct_i*uz_j(2)-ct_j*uz_i(2))
1007 >             dudz = dudz + sw*pref*3.0d0*ri4 &
1008 >                             * (a1*zhat-ct_i*uz_j(3)-ct_j*uz_i(3))
1009              
1010 <             duduz_i(1) = duduz_i(1) + pref*(ri3*(uz_j(1) - 3.0d0*ct_j*xhat) &
1011 <                  - rcuti3*(uz_j(1) - 3.0d0*ct_j*d(1)*rcuti))
1012 <             duduz_i(2) = duduz_i(2) + pref*(ri3*(uz_j(2) - 3.0d0*ct_j*yhat) &
1013 <                  - rcuti3*(uz_j(2) - 3.0d0*ct_j*d(2)*rcuti))
1014 <             duduz_i(3) = duduz_i(3) + pref*(ri3*(uz_j(3) - 3.0d0*ct_j*zhat) &
1015 <                  - rcuti3*(uz_j(3) - 3.0d0*ct_j*d(3)*rcuti))
1016 <             duduz_j(1) = duduz_j(1) + pref*(ri3*(uz_i(1) - 3.0d0*ct_i*xhat) &
1017 <                  - rcuti3*(uz_i(1) - 3.0d0*ct_i*d(1)*rcuti))
1018 <             duduz_j(2) = duduz_j(2) + pref*(ri3*(uz_i(2) - 3.0d0*ct_i*yhat) &
1019 <                  - rcuti3*(uz_i(2) - 3.0d0*ct_i*d(2)*rcuti))
1020 <             duduz_j(3) = duduz_j(3) + pref*(ri3*(uz_i(3) - 3.0d0*ct_i*zhat) &
1021 <                  - rcuti3*(uz_i(3) - 3.0d0*ct_i*d(3)*rcuti))
1010 >             duduz_i(1) = duduz_i(1) + sw*pref*(ri3*(uz_j(1)-3.0d0*ct_j*xhat) &
1011 >                  - preRF2*uz_j(1))
1012 >             duduz_i(2) = duduz_i(2) + sw*pref*(ri3*(uz_j(2)-3.0d0*ct_j*yhat) &
1013 >                  - preRF2*uz_j(2))
1014 >             duduz_i(3) = duduz_i(3) + sw*pref*(ri3*(uz_j(3)-3.0d0*ct_j*zhat) &
1015 >                  - preRF2*uz_j(3))
1016 >             duduz_j(1) = duduz_j(1) + sw*pref*(ri3*(uz_i(1)-3.0d0*ct_i*xhat) &
1017 >                  - preRF2*uz_i(1))
1018 >             duduz_j(2) = duduz_j(2) + sw*pref*(ri3*(uz_i(2)-3.0d0*ct_i*yhat) &
1019 >                  - preRF2*uz_i(2))
1020 >             duduz_j(3) = duduz_j(3) + sw*pref*(ri3*(uz_i(3)-3.0d0*ct_i*zhat) &
1021 >                  - preRF2*uz_i(3))
1022 >
1023            else
899            
1024               if (i_is_SplitDipole) then
1025                  if (j_is_SplitDipole) then
1026 <                   BigR = sqrt(r2 + 0.25_dp * d_i * d_i + 0.25_dp * d_j * d_j)
1026 >                   BigR = sqrt(r2 + 0.25d0 * d_i * d_i + 0.25d0 * d_j * d_j)
1027                  else
1028 <                   BigR = sqrt(r2 + 0.25_dp * d_i * d_i)
1028 >                   BigR = sqrt(r2 + 0.25d0 * d_i * d_i)
1029                  endif
1030 <                ri = 1.0_dp / BigR
1030 >                ri = 1.0d0 / BigR
1031                  scale = rij * ri                
1032               else
1033                  if (j_is_SplitDipole) then
1034 <                   BigR = sqrt(r2 + 0.25_dp * d_j * d_j)
1035 <                   ri = 1.0_dp / BigR
1034 >                   BigR = sqrt(r2 + 0.25d0 * d_j * d_j)
1035 >                   ri = 1.0d0 / BigR
1036                     scale = rij * ri                            
1037                  else                
1038                     ri = riji
1039 <                   scale = 1.0_dp
1039 >                   scale = 1.0d0
1040                  endif
1041               endif
1042              
919             ct_ij = uz_i(1)*uz_j(1) + uz_i(2)*uz_j(2) + uz_i(3)*uz_j(3)
920            
921             ri2 = ri * ri
922             ri3 = ri2 * ri
923             ri4 = ri2 * ri2
1043               sc2 = scale * scale
1044 +
1045 +             pot_term = (ct_ij - 3.0d0 * ct_i * ct_j * sc2)
1046 +             vterm = pref * ( ri3*pot_term*f1 + (ct_i * ct_j)*f2 )
1047 +             vpair = vpair + vterm
1048 +             epot = epot + sw*vterm
1049              
1050 <             vterm = pref * ri3 * (ct_ij - 3.0d0 * ct_i * ct_j * sc2)
1051 <             vpair = vpair + swi * vterm
928 <             epot = epot + vterm
1050 >             f13 = f1+f3
1051 >             f134 = f13 + f4
1052              
1053 <             a1 = 5.0d0 * ct_i * ct_j * sc2 - ct_ij
1053 > !!$             dudx = dudx + sw*pref * ( ri4*scale*( &
1054 > !!$                  3.0d0*(a1*xhat-ct_i*uz_j(1)-ct_j*uz_i(1))*f1 &
1055 > !!$                  - pot_term*f3) &
1056 > !!$                  + 2.0d0*ct_i*ct_j*xhat*(ct_i*uz_j(1)+ct_j*uz_i(1))*f3 &
1057 > !!$                  + (ct_i * ct_j)*f4 )
1058 > !!$             dudy = dudy + sw*pref * ( ri4*scale*( &
1059 > !!$                  3.0d0*(a1*yhat-ct_i*uz_j(2)-ct_j*uz_i(2))*f1 &
1060 > !!$                  - pot_term*f3) &
1061 > !!$                  + 2.0d0*ct_i*ct_j*yhat*(ct_i*uz_j(2)+ct_j*uz_i(2))*f3 &
1062 > !!$                  + (ct_i * ct_j)*f4 )
1063 > !!$             dudz = dudz + sw*pref * ( ri4*scale*( &
1064 > !!$                  3.0d0*(a1*zhat-ct_i*uz_j(3)-ct_j*uz_i(3))*f1 &
1065 > !!$                  - pot_term*f3) &
1066 > !!$                  + 2.0d0*ct_i*ct_j*zhat*(ct_i*uz_j(3)+ct_j*uz_i(3))*f3 &
1067 > !!$                  + (ct_i * ct_j)*f4 )
1068 >
1069 >             dudx = dudx + sw*pref * ( ri4*scale*( &
1070 >                  15.0d0*(ct_i * ct_j * sc2)*xhat*f134 - &
1071 >                  3.0d0*(ct_i*uz_j(1) + ct_j*uz_i(1) + ct_ij*xhat)*f134) )
1072 >             dudy = dudy + sw*pref * ( ri4*scale*( &
1073 >                  15.0d0*(ct_i * ct_j * sc2)*yhat*f134 - &
1074 >                  3.0d0*(ct_i*uz_j(2) + ct_j*uz_i(2) + ct_ij*yhat)*f134) )
1075 >             dudz = dudz + sw*pref * ( ri4*scale*( &
1076 >                  15.0d0*(ct_i * ct_j * sc2)*zhat*f134 - &
1077 >                  3.0d0*(ct_i*uz_j(3) + ct_j*uz_i(3) + ct_ij*zhat)*f134) )
1078              
1079 <             dudx = dudx + pref*3.0d0*ri4*scale &
1080 <                  *(a1*xhat-ct_i*uz_j(1)-ct_j*uz_i(1))
1081 <             dudy = dudy + pref*3.0d0*ri4*scale &
1082 <                  *(a1*yhat-ct_i*uz_j(2)-ct_j*uz_i(2))
1083 <             dudz = dudz + pref*3.0d0*ri4*scale &
1084 <                  *(a1*zhat-ct_i*uz_j(3)-ct_j*uz_i(3))
1079 >             duduz_i(1) = duduz_i(1) + sw*pref * &
1080 >                  ( ri3*(uz_j(1) - 3.0d0*ct_j*xhat*sc2)*f1 + (ct_j*xhat)*f2 )
1081 >             duduz_i(2) = duduz_i(2) + sw*pref * &
1082 >                  ( ri3*(uz_j(2) - 3.0d0*ct_j*yhat*sc2)*f1 + (ct_j*yhat)*f2 )
1083 >             duduz_i(3) = duduz_i(3) + sw*pref * &
1084 >                  ( ri3*(uz_j(3) - 3.0d0*ct_j*zhat*sc2)*f1 + (ct_j*zhat)*f2 )
1085              
1086 <             duduz_i(1) = duduz_i(1) + pref*ri3 &
1087 <                  *(uz_j(1) - 3.0d0*ct_j*xhat*sc2)
1088 <             duduz_i(2) = duduz_i(2) + pref*ri3 &
1089 <                  *(uz_j(2) - 3.0d0*ct_j*yhat*sc2)
1090 <             duduz_i(3) = duduz_i(3) + pref*ri3 &
1091 <                  *(uz_j(3) - 3.0d0*ct_j*zhat*sc2)
945 <            
946 <             duduz_j(1) = duduz_j(1) + pref*ri3 &
947 <                  *(uz_i(1) - 3.0d0*ct_i*xhat*sc2)
948 <             duduz_j(2) = duduz_j(2) + pref*ri3 &
949 <                  *(uz_i(2) - 3.0d0*ct_i*yhat*sc2)
950 <             duduz_j(3) = duduz_j(3) + pref*ri3 &
951 <                  *(uz_i(3) - 3.0d0*ct_i*zhat*sc2)
1086 >             duduz_j(1) = duduz_j(1) + sw*pref * &
1087 >                  ( ri3*(uz_i(1) - 3.0d0*ct_i*xhat*sc2)*f1 + (ct_i*xhat)*f2 )
1088 >             duduz_j(2) = duduz_j(2) + sw*pref * &
1089 >                  ( ri3*(uz_i(2) - 3.0d0*ct_i*yhat*sc2)*f1 + (ct_i*yhat)*f2 )
1090 >             duduz_j(3) = duduz_j(3) + sw*pref * &
1091 >                  ( ri3*(uz_i(3) - 3.0d0*ct_i*zhat*sc2)*f1 + (ct_i*zhat)*f2 )
1092            endif
1093         endif
1094      endif
1095  
1096      if (i_is_Quadrupole) then
1097         if (j_is_Charge) then
1098 +          if (screeningMethod .eq. DAMPED) then
1099 +             call lookupUniformSpline1d(f0spline, rij, f0, df0)
1100 + !!$             f0 = derfc(dampingAlpha*rij)
1101 + !!$             varEXP = exp(-alpha2*rij*rij)
1102 + !!$             f1 = alphaPi*rij*varEXP + f0
1103 + !!$             f2 = alphaPi*2.0d0*alpha2*varEXP
1104 +             f1 = -rij * df0 + f0
1105 +             f2 = -2.0d0*alpha2*df0
1106 +             f3 = f2*rij*rij*rij
1107 +             f4 = 2.0d0*alpha2*f2*rij
1108 +          endif
1109  
1110            ri2 = riji * riji
1111            ri3 = ri2 * riji
# Line 963 | Line 1114 | contains
1114            cy2 = cy_i * cy_i
1115            cz2 = cz_i * cz_i
1116  
1117 <          pref = sw * pre14 * q_j / 3.0_dp
1118 <
1119 <          if (summationMethod .eq. 1) then
1120 <             vterm1 = pref * ri3*( qxx_i * (3.0_dp*cx2 - 1.0_dp) + &
1121 <                  qyy_i * (3.0_dp*cy2 - 1.0_dp) + &
1122 <                  qzz_i * (3.0_dp*cz2 - 1.0_dp) )
1123 <             vterm2 = pref * rcuti3*( qxx_i * (3.0_dp*cx2 - 1.0_dp) + &
1124 <                  qyy_i * (3.0_dp*cy2 - 1.0_dp) + &
1125 <                  qzz_i * (3.0_dp*cz2 - 1.0_dp) )
1126 <             vpair = vpair + swi * ( vterm1 - vterm2 )
1127 <             epot = epot + ( vterm1 - vterm2 )
1128 <            
1129 <             dudx = dudx - (5.0_dp*(vterm1*riji*xhat - vterm2*rcuti2*d(1))) + &
1130 <                  pref * ( (ri4 - rcuti4)*(qxx_i*(6.0_dp*cx_i*ux_i(1)) - &
1131 <                  qxx_i*2.0_dp*(xhat - rcuti*d(1))) + &
1132 <                  (ri4 - rcuti4)*(qyy_i*(6.0_dp*cy_i*uy_i(1)) - &
1133 <                  qyy_i*2.0_dp*(xhat - rcuti*d(1))) + &
1134 <                  (ri4 - rcuti4)*(qzz_i*(6.0_dp*cz_i*uz_i(1)) - &
1135 <                  qzz_i*2.0_dp*(xhat - rcuti*d(1))) )
1136 <             dudy = dudy - (5.0_dp*(vterm1*riji*yhat - vterm2*rcuti2*d(2))) + &
1137 <                  pref * ( (ri4 - rcuti4)*(qxx_i*(6.0_dp*cx_i*ux_i(2)) - &
1138 <                  qxx_i*2.0_dp*(yhat - rcuti*d(2))) + &
1139 <                  (ri4 - rcuti4)*(qyy_i*(6.0_dp*cy_i*uy_i(2)) - &
1140 <                  qyy_i*2.0_dp*(yhat - rcuti*d(2))) + &
1141 <                  (ri4 - rcuti4)*(qzz_i*(6.0_dp*cz_i*uz_i(2)) - &
1142 <                  qzz_i*2.0_dp*(yhat - rcuti*d(2))) )
1143 <             dudz = dudz - (5.0_dp*(vterm1*riji*zhat - vterm2*rcuti2*d(3))) + &
1144 <                  pref * ( (ri4 - rcuti4)*(qxx_i*(6.0_dp*cx_i*ux_i(3)) - &
1145 <                  qxx_i*2.0_dp*(zhat - rcuti*d(3))) + &
1146 <                  (ri4 - rcuti4)*(qyy_i*(6.0_dp*cy_i*uy_i(3)) - &
1147 <                  qyy_i*2.0_dp*(zhat - rcuti*d(3))) + &
1148 <                  (ri4 - rcuti4)*(qzz_i*(6.0_dp*cz_i*uz_i(3)) - &
1149 <                  qzz_i*2.0_dp*(zhat - rcuti*d(3))) )
1150 <            
1151 <             dudux_i(1) = dudux_i(1) + pref * (ri3*(qxx_i*6.0_dp*cx_i*xhat) - &
1152 <                  rcuti4*(qxx_i*6.0_dp*cx_i*d(1)))
1153 <             dudux_i(2) = dudux_i(2) + pref * (ri3*(qxx_i*6.0_dp*cx_i*yhat) - &
1154 <                  rcuti4*(qxx_i*6.0_dp*cx_i*d(2)))
1155 <             dudux_i(3) = dudux_i(3) + pref * (ri3*(qxx_i*6.0_dp*cx_i*zhat) - &
1156 <                  rcuti4*(qxx_i*6.0_dp*cx_i*d(3)))
1157 <            
1158 <             duduy_i(1) = duduy_i(1) + pref * (ri3*(qyy_i*6.0_dp*cy_i*xhat) - &
1159 <                  rcuti4*(qyy_i*6.0_dp*cx_i*d(1)))
1160 <             duduy_i(2) = duduy_i(2) + pref * (ri3*(qyy_i*6.0_dp*cy_i*yhat) - &
1161 <                  rcuti4*(qyy_i*6.0_dp*cx_i*d(2)))
1162 <             duduy_i(3) = duduy_i(3) + pref * (ri3*(qyy_i*6.0_dp*cy_i*zhat) - &
1163 <                  rcuti4*(qyy_i*6.0_dp*cx_i*d(3)))
1013 <            
1014 <             duduz_i(1) = duduz_i(1) + pref * (ri3*(qzz_i*6.0_dp*cz_i*xhat) - &
1015 <                  rcuti4*(qzz_i*6.0_dp*cx_i*d(1)))
1016 <             duduz_i(2) = duduz_i(2) + pref * (ri3*(qzz_i*6.0_dp*cz_i*yhat) - &
1017 <                  rcuti4*(qzz_i*6.0_dp*cx_i*d(2)))
1018 <             duduz_i(3) = duduz_i(3) + pref * (ri3*(qzz_i*6.0_dp*cz_i*zhat) - &
1019 <                  rcuti4*(qzz_i*6.0_dp*cx_i*d(3)))
1117 >          pref = pre14 * q_j / 3.0d0
1118 >          pot_term = ri3 * (qxx_i * (3.0d0*cx2 - 1.0d0) + &
1119 >                            qyy_i * (3.0d0*cy2 - 1.0d0) + &
1120 >                            qzz_i * (3.0d0*cz2 - 1.0d0))
1121 >          vterm = pref * (pot_term*f1 + (qxx_i*cx2 + qyy_i*cy2 + qzz_i*cz2)*f2)
1122 >          vpair = vpair + vterm
1123 >          epot = epot + sw*vterm
1124 >          
1125 >          dudx = dudx - sw*pref*pot_term*riji*xhat*(5.0d0*f1 + f3) + &
1126 >               sw*pref*ri4 * ( &
1127 >               qxx_i*(2.0d0*cx_i*ux_i(1)*(3.0d0*f1 + f3) - 2.0d0*xhat*f1) + &
1128 >               qyy_i*(2.0d0*cy_i*uy_i(1)*(3.0d0*f1 + f3) - 2.0d0*xhat*f1) + &
1129 >               qzz_i*(2.0d0*cz_i*uz_i(1)*(3.0d0*f1 + f3) - 2.0d0*xhat*f1) ) &
1130 >               + (qxx_i*cx2 + qyy_i*cy2 + qzz_i*cz2)*f4
1131 >          dudy = dudy - sw*pref*pot_term*riji*yhat*(5.0d0*f1 + f3) + &
1132 >               sw*pref*ri4 * ( &
1133 >               qxx_i*(2.0d0*cx_i*ux_i(2)*(3.0d0*f1 + f3) - 2.0d0*yhat*f1) + &
1134 >               qyy_i*(2.0d0*cy_i*uy_i(2)*(3.0d0*f1 + f3) - 2.0d0*yhat*f1) + &
1135 >               qzz_i*(2.0d0*cz_i*uz_i(2)*(3.0d0*f1 + f3) - 2.0d0*yhat*f1) ) &
1136 >               + (qxx_i*cx2 + qyy_i*cy2 + qzz_i*cz2)*f4
1137 >          dudz = dudz - sw*pref*pot_term*riji*zhat*(5.0d0*f1 + f3) + &
1138 >               sw*pref*ri4 * ( &
1139 >               qxx_i*(2.0d0*cx_i*ux_i(3)*(3.0d0*f1 + f3) - 2.0d0*zhat*f1) + &
1140 >               qyy_i*(2.0d0*cy_i*uy_i(3)*(3.0d0*f1 + f3) - 2.0d0*zhat*f1) + &
1141 >               qzz_i*(2.0d0*cz_i*uz_i(3)*(3.0d0*f1 + f3) - 2.0d0*zhat*f1) ) &
1142 >               + (qxx_i*cx2 + qyy_i*cy2 + qzz_i*cz2)*f4
1143 >          
1144 >          dudux_i(1) = dudux_i(1) + sw*pref*( ri3*(qxx_i*2.0d0*cx_i*xhat) &
1145 >               * (3.0d0*f1 + f3) )
1146 >          dudux_i(2) = dudux_i(2) + sw*pref*( ri3*(qxx_i*2.0d0*cx_i*yhat) &
1147 >               * (3.0d0*f1 + f3) )
1148 >          dudux_i(3) = dudux_i(3) + sw*pref*( ri3*(qxx_i*2.0d0*cx_i*zhat) &
1149 >               * (3.0d0*f1 + f3) )
1150 >          
1151 >          duduy_i(1) = duduy_i(1) + sw*pref*( ri3*(qyy_i*2.0d0*cy_i*xhat) &
1152 >               * (3.0d0*f1 + f3) )
1153 >          duduy_i(2) = duduy_i(2) + sw*pref*( ri3*(qyy_i*2.0d0*cy_i*yhat) &
1154 >               * (3.0d0*f1 + f3) )
1155 >          duduy_i(3) = duduy_i(3) + sw*pref*( ri3*(qyy_i*2.0d0*cy_i*zhat) &
1156 >               * (3.0d0*f1 + f3) )
1157 >          
1158 >          duduz_i(1) = duduz_i(1) + sw*pref*( ri3*(qzz_i*2.0d0*cz_i*xhat) &
1159 >               * (3.0d0*f1 + f3) )
1160 >          duduz_i(2) = duduz_i(2) + sw*pref*( ri3*(qzz_i*2.0d0*cz_i*yhat) &
1161 >               * (3.0d0*f1 + f3) )
1162 >          duduz_i(3) = duduz_i(3) + sw*pref*( ri3*(qzz_i*2.0d0*cz_i*zhat) &
1163 >               * (3.0d0*f1 + f3) )
1164  
1021          else
1022             vterm = pref * ri3 * (qxx_i * (3.0_dp*cx2 - 1.0_dp) + &
1023                  qyy_i * (3.0_dp*cy2 - 1.0_dp) + &
1024                  qzz_i * (3.0_dp*cz2 - 1.0_dp))
1025             vpair = vpair + swi * vterm
1026             epot = epot + vterm
1027            
1028             dudx = dudx - 5.0_dp*vterm*riji*xhat + pref * ri4 * ( &
1029                  qxx_i*(6.0_dp*cx_i*ux_i(1) - 2.0_dp*xhat) + &
1030                  qyy_i*(6.0_dp*cy_i*uy_i(1) - 2.0_dp*xhat) + &
1031                  qzz_i*(6.0_dp*cz_i*uz_i(1) - 2.0_dp*xhat) )
1032             dudy = dudy - 5.0_dp*vterm*riji*yhat + pref * ri4 * ( &
1033                  qxx_i*(6.0_dp*cx_i*ux_i(2) - 2.0_dp*yhat) + &
1034                  qyy_i*(6.0_dp*cy_i*uy_i(2) - 2.0_dp*yhat) + &
1035                  qzz_i*(6.0_dp*cz_i*uz_i(2) - 2.0_dp*yhat) )
1036             dudz = dudz - 5.0_dp*vterm*riji*zhat + pref * ri4 * ( &
1037                  qxx_i*(6.0_dp*cx_i*ux_i(3) - 2.0_dp*zhat) + &
1038                  qyy_i*(6.0_dp*cy_i*uy_i(3) - 2.0_dp*zhat) + &
1039                  qzz_i*(6.0_dp*cz_i*uz_i(3) - 2.0_dp*zhat) )
1040            
1041             dudux_i(1) = dudux_i(1) + pref * ri3*(qxx_i*6.0_dp*cx_i*xhat)
1042             dudux_i(2) = dudux_i(2) + pref * ri3*(qxx_i*6.0_dp*cx_i*yhat)
1043             dudux_i(3) = dudux_i(3) + pref * ri3*(qxx_i*6.0_dp*cx_i*zhat)
1044            
1045             duduy_i(1) = duduy_i(1) + pref * ri3*(qyy_i*6.0_dp*cy_i*xhat)
1046             duduy_i(2) = duduy_i(2) + pref * ri3*(qyy_i*6.0_dp*cy_i*yhat)
1047             duduy_i(3) = duduy_i(3) + pref * ri3*(qyy_i*6.0_dp*cy_i*zhat)
1048            
1049             duduz_i(1) = duduz_i(1) + pref * ri3*(qzz_i*6.0_dp*cz_i*xhat)
1050             duduz_i(2) = duduz_i(2) + pref * ri3*(qzz_i*6.0_dp*cz_i*yhat)
1051             duduz_i(3) = duduz_i(3) + pref * ri3*(qzz_i*6.0_dp*cz_i*zhat)
1052          endif
1165         endif
1166      endif
1167  
1168  
1169      if (do_pot) then
1170   #ifdef IS_MPI
1171 <       pot_row(atom1) = pot_row(atom1) + 0.5d0*epot
1172 <       pot_col(atom2) = pot_col(atom2) + 0.5d0*epot
1171 >       pot_row(ELECTROSTATIC_POT,atom1) = pot_row(ELECTROSTATIC_POT,atom1) + 0.5d0*epot
1172 >       pot_col(ELECTROSTATIC_POT,atom2) = pot_col(ELECTROSTATIC_POT,atom2) + 0.5d0*epot
1173   #else
1174         pot = pot + epot
1175   #endif
# Line 1162 | Line 1274 | contains
1274      return
1275    end subroutine doElectrostaticPair
1276  
1277 <  !! calculates the switching functions and their derivatives for a given
1166 <  subroutine calc_switch(r, mu, scale, dscale)
1277 >  subroutine destroyElectrostaticTypes()
1278  
1279 <    real (kind=dp), intent(in) :: r, mu
1169 <    real (kind=dp), intent(inout) :: scale, dscale
1170 <    real (kind=dp) :: rl, ru, mulow, minRatio, temp, scaleVal
1279 >    if(allocated(ElectrostaticMap)) deallocate(ElectrostaticMap)
1280  
1281 <    ! distances must be in angstroms
1282 <    rl = 2.75d0
1283 <    ru = 3.75d0
1284 <    mulow = 0.0d0 !3.3856d0 ! 1.84 * 1.84
1285 <    minRatio = mulow / (mu*mu)
1286 <    scaleVal = 1.0d0 - minRatio
1281 >  end subroutine destroyElectrostaticTypes
1282 >
1283 >  subroutine self_self(atom1, eFrame, mypot, t, do_pot)
1284 >    logical, intent(in) :: do_pot
1285 >    integer, intent(in) :: atom1
1286 >    integer :: atid1
1287 >    real(kind=dp), dimension(9,nLocal) :: eFrame
1288 >    real(kind=dp), dimension(3,nLocal) :: t
1289 >    real(kind=dp) :: mu1, c1
1290 >    real(kind=dp) :: preVal, epot, mypot
1291 >    real(kind=dp) :: eix, eiy, eiz
1292 >
1293 >    ! this is a local only array, so we use the local atom type id's:
1294 >    atid1 = atid(atom1)
1295 >
1296 >    if (.not.summationMethodChecked) then
1297 >       call checkSummationMethod()
1298 >    endif
1299      
1300 <    if (r.lt.rl) then
1301 <       scale = minRatio
1302 <       dscale = 0.0d0
1303 <    elseif (r.gt.ru) then
1304 <       scale = 1.0d0
1305 <       dscale = 0.0d0
1306 <    else
1307 <       scale = 1.0d0 - scaleVal*((ru + 2.0d0*r - 3.0d0*rl) * (ru-r)**2) &
1308 <                        / ((ru - rl)**3)
1309 <       dscale = -scaleVal * 6.0d0 * (r-ru)*(r-rl)/((ru - rl)**3)    
1300 >    if (summationMethod .eq. REACTION_FIELD) then
1301 >       if (ElectrostaticMap(atid1)%is_Dipole) then
1302 >          mu1 = getDipoleMoment(atid1)
1303 >          
1304 >          preVal = pre22 * preRF2 * mu1*mu1
1305 >          mypot = mypot - 0.5d0*preVal
1306 >          
1307 >          ! The self-correction term adds into the reaction field vector
1308 >          
1309 >          eix = preVal * eFrame(3,atom1)
1310 >          eiy = preVal * eFrame(6,atom1)
1311 >          eiz = preVal * eFrame(9,atom1)
1312 >          
1313 >          ! once again, this is self-self, so only the local arrays are needed
1314 >          ! even for MPI jobs:
1315 >          
1316 >          t(1,atom1)=t(1,atom1) - eFrame(6,atom1)*eiz + &
1317 >               eFrame(9,atom1)*eiy
1318 >          t(2,atom1)=t(2,atom1) - eFrame(9,atom1)*eix + &
1319 >               eFrame(3,atom1)*eiz
1320 >          t(3,atom1)=t(3,atom1) - eFrame(3,atom1)*eiy + &
1321 >               eFrame(6,atom1)*eix
1322 >          
1323 >       endif
1324 >
1325 >    elseif ( (summationMethod .eq. SHIFTED_FORCE) .or. &
1326 >         (summationMethod .eq. SHIFTED_POTENTIAL) ) then
1327 >       if (ElectrostaticMap(atid1)%is_Charge) then
1328 >          c1 = getCharge(atid1)
1329 >          
1330 >          if (screeningMethod .eq. DAMPED) then
1331 >             mypot = mypot - (f0c * rcuti * 0.5d0 + &
1332 >                  dampingAlpha*invRootPi) * c1 * c1    
1333 >            
1334 >          else            
1335 >             mypot = mypot - (rcuti * 0.5d0 * c1 * c1)
1336 >            
1337 >          endif
1338 >       endif
1339      endif
1340 <        
1340 >    
1341      return
1342 <  end subroutine calc_switch
1342 >  end subroutine self_self
1343  
1344 <  subroutine destroyElectrostaticTypes()
1345 <
1346 <    if(allocated(ElectrostaticMap)) deallocate(ElectrostaticMap)
1344 >  subroutine rf_self_excludes(atom1, atom2, sw, eFrame, d, rij, vpair, myPot, &
1345 >       f, t, do_pot)
1346 >    logical, intent(in) :: do_pot
1347 >    integer, intent(in) :: atom1
1348 >    integer, intent(in) :: atom2
1349 >    logical :: i_is_Charge, j_is_Charge
1350 >    logical :: i_is_Dipole, j_is_Dipole
1351 >    integer :: atid1
1352 >    integer :: atid2
1353 >    real(kind=dp), intent(in) :: rij
1354 >    real(kind=dp), intent(in) :: sw
1355 >    real(kind=dp), intent(in), dimension(3) :: d
1356 >    real(kind=dp), intent(inout) :: vpair
1357 >    real(kind=dp), dimension(9,nLocal) :: eFrame
1358 >    real(kind=dp), dimension(3,nLocal) :: f
1359 >    real(kind=dp), dimension(3,nLocal) :: t
1360 >    real (kind = dp), dimension(3) :: duduz_i
1361 >    real (kind = dp), dimension(3) :: duduz_j
1362 >    real (kind = dp), dimension(3) :: uz_i
1363 >    real (kind = dp), dimension(3) :: uz_j
1364 >    real(kind=dp) :: q_i, q_j, mu_i, mu_j
1365 >    real(kind=dp) :: xhat, yhat, zhat
1366 >    real(kind=dp) :: ct_i, ct_j
1367 >    real(kind=dp) :: ri2, ri3, riji, vterm
1368 >    real(kind=dp) :: pref, preVal, rfVal, myPot
1369 >    real(kind=dp) :: dudx, dudy, dudz, dudr
1370  
1371 <  end subroutine destroyElectrostaticTypes
1371 >    if (.not.summationMethodChecked) then
1372 >       call checkSummationMethod()
1373 >    endif
1374  
1375 +    dudx = zero
1376 +    dudy = zero
1377 +    dudz = zero
1378 +
1379 +    riji = 1.0d0/rij
1380 +
1381 +    xhat = d(1) * riji
1382 +    yhat = d(2) * riji
1383 +    zhat = d(3) * riji
1384 +
1385 +    ! this is a local only array, so we use the local atom type id's:
1386 +    atid1 = atid(atom1)
1387 +    atid2 = atid(atom2)
1388 +    i_is_Charge = ElectrostaticMap(atid1)%is_Charge
1389 +    j_is_Charge = ElectrostaticMap(atid2)%is_Charge
1390 +    i_is_Dipole = ElectrostaticMap(atid1)%is_Dipole
1391 +    j_is_Dipole = ElectrostaticMap(atid2)%is_Dipole
1392 +
1393 +    if (i_is_Charge.and.j_is_Charge) then
1394 +       q_i = ElectrostaticMap(atid1)%charge
1395 +       q_j = ElectrostaticMap(atid2)%charge
1396 +      
1397 +       preVal = pre11 * q_i * q_j
1398 +       rfVal = preRF*rij*rij
1399 +       vterm = preVal * rfVal
1400 +      
1401 +       myPot = myPot + sw*vterm
1402 +      
1403 +       dudr  = sw*preVal * 2.0d0*rfVal*riji
1404 +      
1405 +       dudx = dudx + dudr * xhat
1406 +       dudy = dudy + dudr * yhat
1407 +       dudz = dudz + dudr * zhat
1408 +      
1409 +    elseif (i_is_Charge.and.j_is_Dipole) then
1410 +       q_i = ElectrostaticMap(atid1)%charge
1411 +       mu_j = ElectrostaticMap(atid2)%dipole_moment
1412 +       uz_j(1) = eFrame(3,atom2)
1413 +       uz_j(2) = eFrame(6,atom2)
1414 +       uz_j(3) = eFrame(9,atom2)
1415 +       ct_j = uz_j(1)*xhat + uz_j(2)*yhat + uz_j(3)*zhat
1416 +      
1417 +       ri2 = riji * riji
1418 +       ri3 = ri2 * riji
1419 +      
1420 +       pref = pre12 * q_i * mu_j
1421 +       vterm = - pref * ct_j * ( ri2 - preRF2*rij )
1422 +       myPot = myPot + sw*vterm
1423 +      
1424 +       dudx = dudx - sw*pref*( ri3*(uz_j(1)-3.0d0*ct_j*xhat) &
1425 +            - preRF2*uz_j(1) )
1426 +       dudy = dudy - sw*pref*( ri3*(uz_j(2)-3.0d0*ct_j*yhat) &
1427 +            - preRF2*uz_j(2) )
1428 +       dudz = dudz - sw*pref*( ri3*(uz_j(3)-3.0d0*ct_j*zhat) &
1429 +            - preRF2*uz_j(3) )
1430 +      
1431 +       duduz_j(1) = duduz_j(1) - sw * pref * xhat * ( ri2 - preRF2*rij )
1432 +       duduz_j(2) = duduz_j(2) - sw * pref * yhat * ( ri2 - preRF2*rij )
1433 +       duduz_j(3) = duduz_j(3) - sw * pref * zhat * ( ri2 - preRF2*rij )
1434 +      
1435 +    elseif (i_is_Dipole.and.j_is_Charge) then
1436 +       mu_i = ElectrostaticMap(atid1)%dipole_moment
1437 +       q_j = ElectrostaticMap(atid2)%charge
1438 +       uz_i(1) = eFrame(3,atom1)
1439 +       uz_i(2) = eFrame(6,atom1)
1440 +       uz_i(3) = eFrame(9,atom1)
1441 +       ct_i = uz_i(1)*xhat + uz_i(2)*yhat + uz_i(3)*zhat
1442 +      
1443 +       ri2 = riji * riji
1444 +       ri3 = ri2 * riji
1445 +      
1446 +       pref = pre12 * q_j * mu_i
1447 +       vterm = pref * ct_i * ( ri2 - preRF2*rij )
1448 +       myPot = myPot + sw*vterm
1449 +      
1450 +       dudx = dudx + sw*pref*( ri3*(uz_i(1)-3.0d0*ct_i*xhat) &
1451 +            - preRF2*uz_i(1) )
1452 +       dudy = dudy + sw*pref*( ri3*(uz_i(2)-3.0d0*ct_i*yhat) &
1453 +            - preRF2*uz_i(2) )
1454 +       dudz = dudz + sw*pref*( ri3*(uz_i(3)-3.0d0*ct_i*zhat) &
1455 +            - preRF2*uz_i(3) )
1456 +      
1457 +       duduz_i(1) = duduz_i(1) + sw * pref * xhat * ( ri2 - preRF2*rij )
1458 +       duduz_i(2) = duduz_i(2) + sw * pref * yhat * ( ri2 - preRF2*rij )
1459 +       duduz_i(3) = duduz_i(3) + sw * pref * zhat * ( ri2 - preRF2*rij )
1460 +      
1461 +    endif
1462 +      
1463 +
1464 +    ! accumulate the forces and torques resulting from the self term
1465 +    f(1,atom1) = f(1,atom1) + dudx
1466 +    f(2,atom1) = f(2,atom1) + dudy
1467 +    f(3,atom1) = f(3,atom1) + dudz
1468 +    
1469 +    f(1,atom2) = f(1,atom2) - dudx
1470 +    f(2,atom2) = f(2,atom2) - dudy
1471 +    f(3,atom2) = f(3,atom2) - dudz
1472 +    
1473 +    if (i_is_Dipole) then
1474 +       t(1,atom1)=t(1,atom1) - uz_i(2)*duduz_i(3) + uz_i(3)*duduz_i(2)
1475 +       t(2,atom1)=t(2,atom1) - uz_i(3)*duduz_i(1) + uz_i(1)*duduz_i(3)
1476 +       t(3,atom1)=t(3,atom1) - uz_i(1)*duduz_i(2) + uz_i(2)*duduz_i(1)
1477 +    elseif (j_is_Dipole) then
1478 +       t(1,atom2)=t(1,atom2) - uz_j(2)*duduz_j(3) + uz_j(3)*duduz_j(2)
1479 +       t(2,atom2)=t(2,atom2) - uz_j(3)*duduz_j(1) + uz_j(1)*duduz_j(3)
1480 +       t(3,atom2)=t(3,atom2) - uz_j(1)*duduz_j(2) + uz_j(2)*duduz_j(1)
1481 +    endif
1482 +
1483 +    return
1484 +  end subroutine rf_self_excludes
1485 +
1486   end module electrostatic_module

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