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 = 332.0637778d0 |
68 |
> |
real(kind=dp), parameter :: pre11 = 332.0637778_dp |
69 |
|
!! Charge-Dipole, assuming charges are measured in electrons, and |
70 |
|
!! dipoles are measured in debyes |
71 |
< |
real(kind=dp), parameter :: pre12 = 69.13373d0 |
71 |
> |
real(kind=dp), parameter :: pre12 = 69.13373_dp |
72 |
|
!! Dipole-Dipole, assuming dipoles are measured in debyes |
73 |
< |
real(kind=dp), parameter :: pre22 = 14.39325d0 |
73 |
> |
real(kind=dp), parameter :: pre22 = 14.39325_dp |
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 = 69.13373d0 |
77 |
> |
real(kind=dp), parameter :: pre14 = 69.13373_dp |
78 |
|
|
79 |
+ |
real(kind=dp), parameter :: zero = 0.0_dp |
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 |
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 |
93 |
> |
real(kind=DP), save :: alpha2 = 0.0_DP |
94 |
> |
real(kind=DP), save :: alpha4 = 0.0_DP |
95 |
> |
real(kind=DP), save :: alpha6 = 0.0_DP |
96 |
> |
real(kind=DP), save :: alpha8 = 0.0_DP |
97 |
|
logical, save :: haveDampingAlpha = .false. |
98 |
|
real(kind=DP), save :: dielectric = 1.0_DP |
99 |
|
logical, save :: haveDielectric = .false. |
109 |
|
real(kind=dp), save :: rrfsq = 1.0_DP |
110 |
|
real(kind=dp), save :: preRF = 0.0_DP |
111 |
|
real(kind=dp), save :: preRF2 = 0.0_DP |
112 |
< |
real(kind=dp), save :: f0 = 1.0_DP |
113 |
< |
real(kind=dp), save :: f1 = 1.0_DP |
114 |
< |
real(kind=dp), save :: f2 = 0.0_DP |
115 |
< |
real(kind=dp), save :: f3 = 0.0_DP |
116 |
< |
real(kind=dp), save :: f4 = 0.0_DP |
117 |
< |
real(kind=dp), save :: f0c = 1.0_DP |
118 |
< |
real(kind=dp), save :: f1c = 1.0_DP |
119 |
< |
real(kind=dp), save :: f2c = 0.0_DP |
120 |
< |
real(kind=dp), save :: f3c = 0.0_DP |
121 |
< |
real(kind=dp), save :: f4c = 0.0_DP |
112 |
> |
real(kind=dp), save :: erfcVal = 1.0_DP |
113 |
> |
real(kind=dp), save :: derfcVal = 0.0_DP |
114 |
> |
type(cubicSpline), save :: erfcSpline |
115 |
> |
logical, save :: haveElectroSpline = .false. |
116 |
> |
real(kind=dp), save :: c1 = 1.0_DP |
117 |
> |
real(kind=dp), save :: c2 = 1.0_DP |
118 |
> |
real(kind=dp), save :: c3 = 0.0_DP |
119 |
> |
real(kind=dp), save :: c4 = 0.0_DP |
120 |
> |
real(kind=dp), save :: c5 = 0.0_DP |
121 |
> |
real(kind=dp), save :: c6 = 0.0_DP |
122 |
> |
real(kind=dp), save :: c1c = 1.0_DP |
123 |
> |
real(kind=dp), save :: c2c = 1.0_DP |
124 |
> |
real(kind=dp), save :: c3c = 0.0_DP |
125 |
> |
real(kind=dp), save :: c4c = 0.0_DP |
126 |
> |
real(kind=dp), save :: c5c = 0.0_DP |
127 |
> |
real(kind=dp), save :: c6c = 0.0_DP |
128 |
> |
real(kind=dp), save :: one_third = 1.0_DP / 3.0_DP |
129 |
|
|
130 |
|
#if defined(__IFC) || defined(__PGI) |
131 |
|
! error function for ifc version > 7. |
132 |
< |
double precision, external :: derfc |
132 |
> |
real(kind=dp), external :: erfc |
133 |
|
#endif |
134 |
|
|
135 |
|
public :: setElectrostaticSummationMethod |
137 |
|
public :: setElectrostaticCutoffRadius |
138 |
|
public :: setDampingAlpha |
139 |
|
public :: setReactionFieldDielectric |
140 |
< |
public :: buildElectroSplines |
140 |
> |
public :: buildElectroSpline |
141 |
|
public :: newElectrostaticType |
142 |
|
public :: setCharge |
143 |
|
public :: setDipoleMoment |
200 |
|
real(kind=dp), intent(in) :: thisAlpha |
201 |
|
dampingAlpha = thisAlpha |
202 |
|
alpha2 = dampingAlpha*dampingAlpha |
203 |
+ |
alpha4 = alpha2*alpha2 |
204 |
+ |
alpha6 = alpha4*alpha2 |
205 |
+ |
alpha8 = alpha4*alpha4 |
206 |
|
haveDampingAlpha = .true. |
207 |
|
end subroutine setDampingAlpha |
208 |
|
|
212 |
|
haveDielectric = .true. |
213 |
|
end subroutine setReactionFieldDielectric |
214 |
|
|
215 |
< |
subroutine buildElectroSplines() |
216 |
< |
end subroutine buildElectroSplines |
215 |
> |
subroutine buildElectroSpline() |
216 |
> |
real( kind = dp ), dimension(np) :: xvals, yvals |
217 |
> |
real( kind = dp ) :: dx, rmin, rval |
218 |
> |
integer :: i |
219 |
|
|
220 |
+ |
rmin = 0.0_dp |
221 |
+ |
|
222 |
+ |
dx = (defaultCutoff-rmin) / dble(np-1) |
223 |
+ |
|
224 |
+ |
do i = 1, np |
225 |
+ |
rval = rmin + dble(i-1)*dx |
226 |
+ |
xvals(i) = rval |
227 |
+ |
yvals(i) = erfc(dampingAlpha*rval) |
228 |
+ |
enddo |
229 |
+ |
|
230 |
+ |
call newSpline(erfcSpline, xvals, yvals, .true.) |
231 |
+ |
|
232 |
+ |
haveElectroSpline = .true. |
233 |
+ |
end subroutine buildElectroSpline |
234 |
+ |
|
235 |
|
subroutine newElectrostaticType(c_ident, is_Charge, is_Dipole, & |
236 |
|
is_SplitDipole, is_Quadrupole, is_Tap, status) |
237 |
|
|
448 |
|
call handleError("checkSummationMethod", "no Default Cutoff set!") |
449 |
|
endif |
450 |
|
|
451 |
< |
rcuti = 1.0d0 / defaultCutoff |
451 |
> |
rcuti = 1.0_dp / defaultCutoff |
452 |
|
rcuti2 = rcuti*rcuti |
453 |
|
rcuti3 = rcuti2*rcuti |
454 |
|
rcuti4 = rcuti2*rcuti2 |
463 |
|
endif |
464 |
|
|
465 |
|
constEXP = exp(-alpha2*defaultCutoff2) |
466 |
< |
invRootPi = 0.56418958354775628695d0 |
467 |
< |
alphaPi = 2.0d0*dampingAlpha*invRootPi |
468 |
< |
f0c = derfc(dampingAlpha*defaultCutoff) |
469 |
< |
f1c = alphaPi*defaultCutoff*constEXP + f0c |
470 |
< |
f2c = alphaPi*2.0d0*alpha2*constEXP |
471 |
< |
f3c = alphaPi*2.0d0*alpha2*constEXP*defaultCutoff2*defaultCutoff |
466 |
> |
invRootPi = 0.56418958354775628695_dp |
467 |
> |
alphaPi = 2.0_dp*dampingAlpha*invRootPi |
468 |
> |
|
469 |
> |
c1c = erfc(dampingAlpha*defaultCutoff) * rcuti |
470 |
> |
c2c = alphaPi*constEXP*rcuti + c1c*rcuti |
471 |
> |
c3c = 2.0_dp*alphaPi*alpha2 + 3.0_dp*c2c*rcuti |
472 |
> |
c4c = 4.0_dp*alphaPi*alpha4 + 5.0_dp*c3c*rcuti2 |
473 |
> |
c5c = 8.0_dp*alphaPi*alpha6 + 7.0_dp*c4c*rcuti2 |
474 |
> |
c6c = 16.0_dp*alphaPi*alpha8 + 9.0_dp*c5c*rcuti2 |
475 |
> |
else |
476 |
> |
c1c = rcuti |
477 |
> |
c2c = c1c*rcuti |
478 |
> |
c3c = 3.0_dp*c2c*rcuti |
479 |
> |
c4c = 5.0_dp*c3c*rcuti2 |
480 |
> |
c5c = 7.0_dp*c4c*rcuti2 |
481 |
> |
c6c = 9.0_dp*c5c*rcuti2 |
482 |
|
endif |
483 |
|
|
484 |
|
if (summationMethod .eq. REACTION_FIELD) then |
485 |
|
if (haveDielectric) then |
486 |
|
defaultCutoff2 = defaultCutoff*defaultCutoff |
487 |
< |
preRF = (dielectric-1.0d0) / & |
488 |
< |
((2.0d0*dielectric+1.0d0)*defaultCutoff2*defaultCutoff) |
489 |
< |
preRF2 = 2.0d0*preRF |
487 |
> |
preRF = (dielectric-1.0_dp) / & |
488 |
> |
((2.0_dp*dielectric+1.0_dp)*defaultCutoff2*defaultCutoff) |
489 |
> |
preRF2 = 2.0_dp*preRF |
490 |
|
else |
491 |
|
call handleError("checkSummationMethod", "Dielectric not set") |
492 |
|
endif |
493 |
|
|
494 |
|
endif |
495 |
|
|
496 |
+ |
if (.not.haveElectroSpline) then |
497 |
+ |
call buildElectroSpline() |
498 |
+ |
end if |
499 |
+ |
|
500 |
|
summationMethodChecked = .true. |
501 |
|
end subroutine checkSummationMethod |
502 |
|
|
544 |
|
real (kind=dp) :: varEXP |
545 |
|
real (kind=dp) :: pot_term |
546 |
|
real (kind=dp) :: preVal, rfVal |
547 |
< |
real (kind=dp) :: f13, f134 |
547 |
> |
real (kind=dp) :: c2ri, c3ri, c4rij |
548 |
> |
real (kind=dp) :: cti3, ctj3, ctidotj |
549 |
> |
real (kind=dp) :: preSw, preSwSc |
550 |
> |
real (kind=dp) :: xhatdot2, yhatdot2, zhatdot2 |
551 |
> |
real (kind=dp) :: xhatc4, yhatc4, zhatc4 |
552 |
|
|
553 |
|
if (.not.summationMethodChecked) then |
554 |
|
call checkSummationMethod() |
564 |
|
|
565 |
|
!! some variables we'll need independent of electrostatic type: |
566 |
|
|
567 |
< |
riji = 1.0d0 / rij |
567 |
> |
riji = 1.0_dp / rij |
568 |
|
|
569 |
|
xhat = d(1) * riji |
570 |
|
yhat = d(2) * riji |
603 |
|
if (i_is_SplitDipole) then |
604 |
|
d_i = ElectrostaticMap(me1)%split_dipole_distance |
605 |
|
endif |
606 |
< |
|
606 |
> |
duduz_i = zero |
607 |
|
endif |
608 |
|
|
609 |
|
if (i_is_Quadrupole) then |
634 |
|
cx_i = ux_i(1)*xhat + ux_i(2)*yhat + ux_i(3)*zhat |
635 |
|
cy_i = uy_i(1)*xhat + uy_i(2)*yhat + uy_i(3)*zhat |
636 |
|
cz_i = uz_i(1)*xhat + uz_i(2)*yhat + uz_i(3)*zhat |
637 |
+ |
dudux_i = zero |
638 |
+ |
duduy_i = zero |
639 |
+ |
duduz_i = zero |
640 |
|
endif |
641 |
|
|
642 |
|
if (j_is_Charge) then |
659 |
|
if (j_is_SplitDipole) then |
660 |
|
d_j = ElectrostaticMap(me2)%split_dipole_distance |
661 |
|
endif |
662 |
+ |
duduz_j = zero |
663 |
|
endif |
664 |
|
|
665 |
|
if (j_is_Quadrupole) then |
690 |
|
cx_j = ux_j(1)*xhat + ux_j(2)*yhat + ux_j(3)*zhat |
691 |
|
cy_j = uy_j(1)*xhat + uy_j(2)*yhat + uy_j(3)*zhat |
692 |
|
cz_j = uz_j(1)*xhat + uz_j(2)*yhat + uz_j(3)*zhat |
693 |
+ |
dudux_j = zero |
694 |
+ |
duduy_j = zero |
695 |
+ |
duduz_j = zero |
696 |
|
endif |
697 |
|
|
698 |
< |
epot = 0.0d0 |
699 |
< |
dudx = 0.0d0 |
700 |
< |
dudy = 0.0d0 |
701 |
< |
dudz = 0.0d0 |
698 |
> |
epot = zero |
699 |
> |
dudx = zero |
700 |
> |
dudy = zero |
701 |
> |
dudz = zero |
702 |
|
|
643 |
– |
dudux_i = 0.0d0 |
644 |
– |
duduy_i = 0.0d0 |
645 |
– |
duduz_i = 0.0d0 |
646 |
– |
|
647 |
– |
dudux_j = 0.0d0 |
648 |
– |
duduy_j = 0.0d0 |
649 |
– |
duduz_j = 0.0d0 |
650 |
– |
|
703 |
|
if (i_is_Charge) then |
704 |
|
|
705 |
|
if (j_is_Charge) then |
706 |
|
if (screeningMethod .eq. DAMPED) then |
707 |
< |
f0 = derfc(dampingAlpha*rij) |
708 |
< |
varEXP = exp(-alpha2*rij*rij) |
709 |
< |
f1 = alphaPi*rij*varEXP + f0 |
707 |
> |
! assemble the damping variables |
708 |
> |
call lookupUniformSpline1d(erfcSpline, rij, erfcVal, derfcVal) |
709 |
> |
c1 = erfcVal*riji |
710 |
> |
c2 = (-derfcVal + c1)*riji |
711 |
> |
else |
712 |
> |
c1 = riji |
713 |
> |
c2 = c1*riji |
714 |
|
endif |
715 |
|
|
716 |
|
preVal = pre11 * q_i * q_j |
717 |
|
|
718 |
|
if (summationMethod .eq. SHIFTED_POTENTIAL) then |
719 |
< |
vterm = preVal * (riji*f0 - rcuti*f0c) |
719 |
> |
vterm = preVal * (c1 - c1c) |
720 |
|
|
721 |
< |
dudr = -sw * preVal * riji * riji * f1 |
721 |
> |
dudr = -sw * preVal * c2 |
722 |
|
|
723 |
|
elseif (summationMethod .eq. SHIFTED_FORCE) then |
724 |
< |
vterm = preVal * ( riji*f0 - rcuti*f0c + & |
669 |
< |
f1c*rcuti2*(rij-defaultCutoff) ) |
724 |
> |
vterm = preVal * ( c1 - c1c + c2c*(rij - defaultCutoff) ) |
725 |
|
|
726 |
< |
dudr = -sw*preVal * (riji*riji*f1 - rcuti2*f1c) |
726 |
> |
dudr = sw * preVal * (c2c - c2) |
727 |
|
|
728 |
|
elseif (summationMethod .eq. REACTION_FIELD) then |
729 |
|
rfVal = preRF*rij*rij |
730 |
|
vterm = preVal * ( riji + rfVal ) |
731 |
|
|
732 |
< |
dudr = sw * preVal * ( 2.0d0*rfVal - riji )*riji |
732 |
> |
dudr = sw * preVal * ( 2.0_dp*rfVal - riji )*riji |
733 |
|
|
734 |
|
else |
735 |
< |
vterm = preVal * riji*f0 |
735 |
> |
vterm = preVal * riji*erfcVal |
736 |
|
|
737 |
< |
dudr = - sw * preVal * riji*riji*f1 |
737 |
> |
dudr = - sw * preVal * c2 |
738 |
|
|
739 |
|
endif |
740 |
|
|
748 |
|
endif |
749 |
|
|
750 |
|
if (j_is_Dipole) then |
751 |
< |
if (screeningMethod .eq. DAMPED) then |
697 |
< |
f0 = derfc(dampingAlpha*rij) |
698 |
< |
varEXP = exp(-alpha2*rij*rij) |
699 |
< |
f1 = alphaPi*rij*varEXP + f0 |
700 |
< |
f3 = alphaPi*2.0d0*alpha2*varEXP*rij*rij*rij |
701 |
< |
endif |
702 |
< |
|
751 |
> |
! pref is used by all the possible methods |
752 |
|
pref = pre12 * q_i * mu_j |
753 |
+ |
preSw = sw*pref |
754 |
|
|
755 |
|
if (summationMethod .eq. REACTION_FIELD) then |
756 |
|
ri2 = riji * riji |
760 |
|
vpair = vpair + vterm |
761 |
|
epot = epot + sw*vterm |
762 |
|
|
763 |
< |
!! this has a + sign in the () because the rij vector is |
764 |
< |
!! r_j - r_i and the charge-dipole potential takes the origin |
765 |
< |
!! as the point dipole, which is atom j in this case. |
766 |
< |
|
767 |
< |
dudx = dudx - sw*pref*( ri3*(uz_j(1) - 3.0d0*ct_j*xhat) - & |
768 |
< |
preRF2*uz_j(1) ) |
769 |
< |
dudy = dudy - sw*pref*( ri3*(uz_j(2) - 3.0d0*ct_j*yhat) - & |
770 |
< |
preRF2*uz_j(2) ) |
771 |
< |
dudz = dudz - sw*pref*( ri3*(uz_j(3) - 3.0d0*ct_j*zhat) - & |
722 |
< |
preRF2*uz_j(3) ) |
723 |
< |
duduz_j(1) = duduz_j(1) - sw*pref * xhat * ( ri2 - preRF2*rij ) |
724 |
< |
duduz_j(2) = duduz_j(2) - sw*pref * yhat * ( ri2 - preRF2*rij ) |
725 |
< |
duduz_j(3) = duduz_j(3) - sw*pref * zhat * ( ri2 - preRF2*rij ) |
763 |
> |
dudx = dudx - preSw*( ri3*(uz_j(1) - 3.0_dp*ct_j*xhat) - & |
764 |
> |
preRF2*uz_j(1) ) |
765 |
> |
dudy = dudy - preSw*( ri3*(uz_j(2) - 3.0_dp*ct_j*yhat) - & |
766 |
> |
preRF2*uz_j(2) ) |
767 |
> |
dudz = dudz - preSw*( ri3*(uz_j(3) - 3.0_dp*ct_j*zhat) - & |
768 |
> |
preRF2*uz_j(3) ) |
769 |
> |
duduz_j(1) = duduz_j(1) - preSw * xhat * ( ri2 - preRF2*rij ) |
770 |
> |
duduz_j(2) = duduz_j(2) - preSw * yhat * ( ri2 - preRF2*rij ) |
771 |
> |
duduz_j(3) = duduz_j(3) - preSw * zhat * ( ri2 - preRF2*rij ) |
772 |
|
|
773 |
|
else |
774 |
+ |
! determine the inverse r used if we have split dipoles |
775 |
|
if (j_is_SplitDipole) then |
776 |
< |
BigR = sqrt(r2 + 0.25d0 * d_j * d_j) |
777 |
< |
ri = 1.0d0 / BigR |
776 |
> |
BigR = sqrt(r2 + 0.25_dp * d_j * d_j) |
777 |
> |
ri = 1.0_dp / BigR |
778 |
|
scale = rij * ri |
779 |
|
else |
780 |
|
ri = riji |
781 |
< |
scale = 1.0d0 |
781 |
> |
scale = 1.0_dp |
782 |
|
endif |
783 |
< |
|
737 |
< |
ri2 = ri * ri |
738 |
< |
ri3 = ri2 * ri |
783 |
> |
|
784 |
|
sc2 = scale * scale |
785 |
|
|
786 |
< |
pot_term = ri2 * scale * f1 |
787 |
< |
vterm = - pref * ct_j * pot_term |
786 |
> |
if (screeningMethod .eq. DAMPED) then |
787 |
> |
! assemble the damping variables |
788 |
> |
call lookupUniformSpline1d(erfcSpline, rij, erfcVal, derfcVal) |
789 |
> |
c1 = erfcVal*ri |
790 |
> |
c2 = (-derfcVal + c1)*ri |
791 |
> |
c3 = -2.0_dp*derfcVal*alpha2 + 3.0_dp*c2*ri |
792 |
> |
else |
793 |
> |
c1 = ri |
794 |
> |
c2 = c1*ri |
795 |
> |
c3 = 3.0_dp*c2*ri |
796 |
> |
endif |
797 |
> |
|
798 |
> |
c2ri = c2*ri |
799 |
> |
|
800 |
> |
! calculate the potential |
801 |
> |
pot_term = scale * c2 |
802 |
> |
vterm = -pref * ct_j * pot_term |
803 |
|
vpair = vpair + vterm |
804 |
|
epot = epot + sw*vterm |
805 |
|
|
806 |
< |
!! this has a + sign in the () because the rij vector is |
807 |
< |
!! r_j - r_i and the charge-dipole potential takes the origin |
808 |
< |
!! as the point dipole, which is atom j in this case. |
809 |
< |
|
750 |
< |
dudx = dudx - sw*pref * ri3 * ( uz_j(1)*f1 - & |
751 |
< |
ct_j*xhat*sc2*( 3.0d0*f1 + f3 ) ) |
752 |
< |
dudy = dudy - sw*pref * ri3 * ( uz_j(2)*f1 - & |
753 |
< |
ct_j*yhat*sc2*( 3.0d0*f1 + f3 ) ) |
754 |
< |
dudz = dudz - sw*pref * ri3 * ( uz_j(3)*f1 - & |
755 |
< |
ct_j*zhat*sc2*( 3.0d0*f1 + f3 ) ) |
806 |
> |
! calculate derivatives for forces and torques |
807 |
> |
dudx = dudx - preSw*( uz_j(1)*c2ri - ct_j*xhat*sc2*c3 ) |
808 |
> |
dudy = dudy - preSw*( uz_j(2)*c2ri - ct_j*yhat*sc2*c3 ) |
809 |
> |
dudz = dudz - preSw*( uz_j(3)*c2ri - ct_j*zhat*sc2*c3 ) |
810 |
|
|
811 |
< |
duduz_j(1) = duduz_j(1) - sw*pref * pot_term * xhat |
812 |
< |
duduz_j(2) = duduz_j(2) - sw*pref * pot_term * yhat |
813 |
< |
duduz_j(3) = duduz_j(3) - sw*pref * pot_term * zhat |
811 |
> |
duduz_j(1) = duduz_j(1) - preSw * pot_term * xhat |
812 |
> |
duduz_j(2) = duduz_j(2) - preSw * pot_term * yhat |
813 |
> |
duduz_j(3) = duduz_j(3) - preSw * pot_term * zhat |
814 |
|
|
815 |
|
endif |
816 |
|
endif |
817 |
|
|
818 |
|
if (j_is_Quadrupole) then |
819 |
< |
if (screeningMethod .eq. DAMPED) then |
766 |
< |
f0 = derfc(dampingAlpha*rij) |
767 |
< |
varEXP = exp(-alpha2*rij*rij) |
768 |
< |
f1 = alphaPi*rij*varEXP + f0 |
769 |
< |
f2 = alphaPi*2.0d0*alpha2*varEXP |
770 |
< |
f3 = f2*rij*rij*rij |
771 |
< |
f4 = 2.0d0*alpha2*f2*rij |
772 |
< |
endif |
773 |
< |
|
774 |
< |
ri2 = riji * riji |
775 |
< |
ri3 = ri2 * riji |
776 |
< |
ri4 = ri2 * ri2 |
819 |
> |
! first precalculate some necessary variables |
820 |
|
cx2 = cx_j * cx_j |
821 |
|
cy2 = cy_j * cy_j |
822 |
|
cz2 = cz_j * cz_j |
823 |
+ |
pref = pre14 * q_i * one_third |
824 |
+ |
|
825 |
+ |
if (screeningMethod .eq. DAMPED) then |
826 |
+ |
! assemble the damping variables |
827 |
+ |
call lookupUniformSpline1d(erfcSpline, rij, erfcVal, derfcVal) |
828 |
+ |
c1 = erfcVal*riji |
829 |
+ |
c2 = (-derfcVal + c1)*riji |
830 |
+ |
c3 = -2.0_dp*derfcVal*alpha2 + 3.0_dp*c2*riji |
831 |
+ |
c4 = -4.0_dp*derfcVal*alpha4 + 5.0_dp*c3*riji*riji |
832 |
+ |
else |
833 |
+ |
c1 = riji |
834 |
+ |
c2 = c1*riji |
835 |
+ |
c3 = 3.0_dp*c2*riji |
836 |
+ |
c4 = 5.0_dp*c3*riji*riji |
837 |
+ |
endif |
838 |
|
|
839 |
< |
pref = pre14 * q_i / 3.0d0 |
840 |
< |
pot_term = ri3*(qxx_j * (3.0d0*cx2 - 1.0d0) + & |
841 |
< |
qyy_j * (3.0d0*cy2 - 1.0d0) + & |
842 |
< |
qzz_j * (3.0d0*cz2 - 1.0d0)) |
843 |
< |
vterm = pref * (pot_term*f1 + (qxx_j*cx2 + qyy_j*cy2 + qzz_j*cz2)*f2) |
839 |
> |
! precompute variables for convenience |
840 |
> |
preSw = sw*pref |
841 |
> |
c2ri = c2*riji |
842 |
> |
c3ri = c3*riji |
843 |
> |
c4rij = c4*rij |
844 |
> |
xhatdot2 = 2.0_dp*xhat*c3 |
845 |
> |
yhatdot2 = 2.0_dp*yhat*c3 |
846 |
> |
zhatdot2 = 2.0_dp*zhat*c3 |
847 |
> |
xhatc4 = xhat*c4rij |
848 |
> |
yhatc4 = yhat*c4rij |
849 |
> |
zhatc4 = zhat*c4rij |
850 |
> |
|
851 |
> |
! calculate the potential |
852 |
> |
pot_term = ( qxx_j*(cx2*c3 - c2ri) + qyy_j*(cy2*c3 - c2ri) + & |
853 |
> |
qzz_j*(cz2*c3 - c2ri) ) |
854 |
> |
vterm = pref * pot_term |
855 |
|
vpair = vpair + vterm |
856 |
|
epot = epot + sw*vterm |
857 |
+ |
|
858 |
+ |
! calculate derivatives for the forces and torques |
859 |
+ |
dudx = dudx - preSw * ( & |
860 |
+ |
qxx_j*(cx2*xhatc4 - (2.0_dp*cx_j*ux_j(1) + xhat)*c3ri) + & |
861 |
+ |
qyy_j*(cy2*xhatc4 - (2.0_dp*cy_j*uy_j(1) + xhat)*c3ri) + & |
862 |
+ |
qzz_j*(cz2*xhatc4 - (2.0_dp*cz_j*uz_j(1) + xhat)*c3ri) ) |
863 |
+ |
dudy = dudy - preSw * ( & |
864 |
+ |
qxx_j*(cx2*yhatc4 - (2.0_dp*cx_j*ux_j(2) + yhat)*c3ri) + & |
865 |
+ |
qyy_j*(cy2*yhatc4 - (2.0_dp*cy_j*uy_j(2) + yhat)*c3ri) + & |
866 |
+ |
qzz_j*(cz2*yhatc4 - (2.0_dp*cz_j*uz_j(2) + yhat)*c3ri) ) |
867 |
+ |
dudz = dudz - preSw * ( & |
868 |
+ |
qxx_j*(cx2*zhatc4 - (2.0_dp*cx_j*ux_j(3) + zhat)*c3ri) + & |
869 |
+ |
qyy_j*(cy2*zhatc4 - (2.0_dp*cy_j*uy_j(3) + zhat)*c3ri) + & |
870 |
+ |
qzz_j*(cz2*zhatc4 - (2.0_dp*cz_j*uz_j(3) + zhat)*c3ri) ) |
871 |
|
|
872 |
< |
dudx = dudx - sw*pref*pot_term*riji*xhat*(5.0d0*f1 + f3) + & |
873 |
< |
sw*pref*ri4 * ( & |
874 |
< |
qxx_j*(2.0d0*cx_j*ux_j(1)*(3.0d0*f1 + f3) - 2.0d0*xhat*f1) + & |
792 |
< |
qyy_j*(2.0d0*cy_j*uy_j(1)*(3.0d0*f1 + f3) - 2.0d0*xhat*f1) + & |
793 |
< |
qzz_j*(2.0d0*cz_j*uz_j(1)*(3.0d0*f1 + f3) - 2.0d0*xhat*f1) ) & |
794 |
< |
+ (qxx_j*cx2 + qyy_j*cy2 + qzz_j*cz2)*f4 |
795 |
< |
dudy = dudy - sw*pref*pot_term*riji*yhat*(5.0d0*f1 + f3) + & |
796 |
< |
sw*pref*ri4 * ( & |
797 |
< |
qxx_j*(2.0d0*cx_j*ux_j(2)*(3.0d0*f1 + f3) - 2.0d0*yhat*f1) + & |
798 |
< |
qyy_j*(2.0d0*cy_j*uy_j(2)*(3.0d0*f1 + f3) - 2.0d0*yhat*f1) + & |
799 |
< |
qzz_j*(2.0d0*cz_j*uz_j(2)*(3.0d0*f1 + f3) - 2.0d0*yhat*f1) ) & |
800 |
< |
+ (qxx_j*cx2 + qyy_j*cy2 + qzz_j*cz2)*f4 |
801 |
< |
dudz = dudz - sw*pref*pot_term*riji*zhat*(5.0d0*f1 + f3) + & |
802 |
< |
sw*pref*ri4 * ( & |
803 |
< |
qxx_j*(2.0d0*cx_j*ux_j(3)*(3.0d0*f1 + f3) - 2.0d0*zhat*f1) + & |
804 |
< |
qyy_j*(2.0d0*cy_j*uy_j(3)*(3.0d0*f1 + f3) - 2.0d0*zhat*f1) + & |
805 |
< |
qzz_j*(2.0d0*cz_j*uz_j(3)*(3.0d0*f1 + f3) - 2.0d0*zhat*f1) ) & |
806 |
< |
+ (qxx_j*cx2 + qyy_j*cy2 + qzz_j*cz2)*f4 |
872 |
> |
dudux_j(1) = dudux_j(1) + preSw*(qxx_j*cx_j*xhatdot2) |
873 |
> |
dudux_j(2) = dudux_j(2) + preSw*(qxx_j*cx_j*yhatdot2) |
874 |
> |
dudux_j(3) = dudux_j(3) + preSw*(qxx_j*cx_j*zhatdot2) |
875 |
|
|
876 |
< |
dudux_j(1) = dudux_j(1) + sw*pref*ri3*( (qxx_j*2.0d0*cx_j*xhat) & |
877 |
< |
* (3.0d0*f1 + f3) ) |
878 |
< |
dudux_j(2) = dudux_j(2) + sw*pref*ri3*( (qxx_j*2.0d0*cx_j*yhat) & |
811 |
< |
* (3.0d0*f1 + f3) ) |
812 |
< |
dudux_j(3) = dudux_j(3) + sw*pref*ri3*( (qxx_j*2.0d0*cx_j*zhat) & |
813 |
< |
* (3.0d0*f1 + f3) ) |
876 |
> |
duduy_j(1) = duduy_j(1) + preSw*(qyy_j*cy_j*xhatdot2) |
877 |
> |
duduy_j(2) = duduy_j(2) + preSw*(qyy_j*cy_j*yhatdot2) |
878 |
> |
duduy_j(3) = duduy_j(3) + preSw*(qyy_j*cy_j*zhatdot2) |
879 |
|
|
880 |
< |
duduy_j(1) = duduy_j(1) + sw*pref*ri3*( (qyy_j*2.0d0*cy_j*xhat) & |
881 |
< |
* (3.0d0*f1 + f3) ) |
882 |
< |
duduy_j(2) = duduy_j(2) + sw*pref*ri3*( (qyy_j*2.0d0*cy_j*yhat) & |
883 |
< |
* (3.0d0*f1 + f3) ) |
819 |
< |
duduy_j(3) = duduy_j(3) + sw*pref*ri3*( (qyy_j*2.0d0*cy_j*zhat) & |
820 |
< |
* (3.0d0*f1 + f3) ) |
821 |
< |
|
822 |
< |
duduz_j(1) = duduz_j(1) + sw*pref*ri3*( (qzz_j*2.0d0*cz_j*xhat) & |
823 |
< |
* (3.0d0*f1 + f3) ) |
824 |
< |
duduz_j(2) = duduz_j(2) + sw*pref*ri3*( (qzz_j*2.0d0*cz_j*yhat) & |
825 |
< |
* (3.0d0*f1 + f3) ) |
826 |
< |
duduz_j(3) = duduz_j(3) + sw*pref*ri3*( (qzz_j*2.0d0*cz_j*zhat) & |
827 |
< |
* (3.0d0*f1 + f3) ) |
880 |
> |
duduz_j(1) = duduz_j(1) + preSw*(qzz_j*cz_j*xhatdot2) |
881 |
> |
duduz_j(2) = duduz_j(2) + preSw*(qzz_j*cz_j*yhatdot2) |
882 |
> |
duduz_j(3) = duduz_j(3) + preSw*(qzz_j*cz_j*zhatdot2) |
883 |
> |
|
884 |
|
|
885 |
|
endif |
886 |
|
endif |
888 |
|
if (i_is_Dipole) then |
889 |
|
|
890 |
|
if (j_is_Charge) then |
891 |
< |
if (screeningMethod .eq. DAMPED) then |
892 |
< |
f0 = derfc(dampingAlpha*rij) |
893 |
< |
varEXP = exp(-alpha2*rij*rij) |
838 |
< |
f1 = alphaPi*rij*varEXP + f0 |
839 |
< |
f3 = alphaPi*2.0d0*alpha2*varEXP*rij*rij*rij |
840 |
< |
endif |
841 |
< |
|
842 |
< |
pref = pre12 * q_j * mu_i |
843 |
< |
|
844 |
< |
if (summationMethod .eq. SHIFTED_POTENTIAL) then |
845 |
< |
ri2 = riji * riji |
846 |
< |
ri3 = ri2 * riji |
847 |
< |
|
848 |
< |
pot_term = ri2*f1 - rcuti2*f1c |
849 |
< |
vterm = pref * ct_i * pot_term |
850 |
< |
vpair = vpair + vterm |
851 |
< |
epot = epot + sw*vterm |
852 |
< |
|
853 |
< |
dudx = dudx + sw*pref*( ri3*(uz_i(1)*f1-ct_i*xhat*(3.0d0*f1+f3)) ) |
854 |
< |
dudy = dudy + sw*pref*( ri3*(uz_i(2)*f1-ct_i*yhat*(3.0d0*f1+f3)) ) |
855 |
< |
dudz = dudz + sw*pref*( ri3*(uz_i(3)*f1-ct_i*zhat*(3.0d0*f1+f3)) ) |
856 |
< |
|
857 |
< |
duduz_i(1) = duduz_i(1) + sw*pref * xhat * pot_term |
858 |
< |
duduz_i(2) = duduz_i(2) + sw*pref * yhat * pot_term |
859 |
< |
duduz_i(3) = duduz_i(3) + sw*pref * zhat * pot_term |
891 |
> |
! variables used by all the methods |
892 |
> |
pref = pre12 * q_j * mu_i |
893 |
> |
preSw = sw*pref |
894 |
|
|
895 |
< |
elseif (summationMethod .eq. SHIFTED_FORCE) then |
862 |
< |
ri2 = riji * riji |
863 |
< |
ri3 = ri2 * riji |
895 |
> |
if (summationMethod .eq. REACTION_FIELD) then |
896 |
|
|
865 |
– |
!! might need a -(f1c-f0c) or dct_i/dr in the derivative term... |
866 |
– |
pot_term = ri2*f1 - rcuti2*f1c + & |
867 |
– |
(2.0d0*rcuti3*f1c + f2c)*( rij - defaultCutoff ) |
868 |
– |
vterm = pref * ct_i * pot_term |
869 |
– |
vpair = vpair + vterm |
870 |
– |
epot = epot + sw*vterm |
871 |
– |
|
872 |
– |
dudx = dudx + sw*pref*( ri3*(uz_i(1)*f1-ct_i*xhat*(3.0d0*f1+f3)) & |
873 |
– |
- rcuti3*(uz_i(1)*f1c-ct_i*xhat*(3.0d0*f1c+f3c)) ) |
874 |
– |
dudy = dudy + sw*pref*( ri3*(uz_i(2)*f1-ct_i*yhat*(3.0d0*f1+f3)) & |
875 |
– |
- rcuti3*(uz_i(1)*f1c-ct_i*xhat*(3.0d0*f1c+f3c)) ) |
876 |
– |
dudz = dudz + sw*pref*( ri3*(uz_i(3)*f1-ct_i*zhat*(3.0d0*f1+f3)) & |
877 |
– |
- rcuti3*(uz_i(1)*f1c-ct_i*xhat*(3.0d0*f1c+f3c)) ) |
878 |
– |
|
879 |
– |
duduz_i(1) = duduz_i(1) + sw*pref * xhat * pot_term |
880 |
– |
duduz_i(2) = duduz_i(2) + sw*pref * yhat * pot_term |
881 |
– |
duduz_i(3) = duduz_i(3) + sw*pref * zhat * pot_term |
882 |
– |
|
883 |
– |
elseif (summationMethod .eq. REACTION_FIELD) then |
897 |
|
ri2 = riji * riji |
898 |
|
ri3 = ri2 * riji |
899 |
|
|
901 |
|
vpair = vpair + vterm |
902 |
|
epot = epot + sw*vterm |
903 |
|
|
904 |
< |
dudx = dudx + sw*pref * ( ri3*(uz_i(1) - 3.0d0*ct_i*xhat) - & |
904 |
> |
dudx = dudx + preSw * ( ri3*(uz_i(1) - 3.0_dp*ct_i*xhat) - & |
905 |
|
preRF2*uz_i(1) ) |
906 |
< |
dudy = dudy + sw*pref * ( ri3*(uz_i(2) - 3.0d0*ct_i*yhat) - & |
906 |
> |
dudy = dudy + preSw * ( ri3*(uz_i(2) - 3.0_dp*ct_i*yhat) - & |
907 |
|
preRF2*uz_i(2) ) |
908 |
< |
dudz = dudz + sw*pref * ( ri3*(uz_i(3) - 3.0d0*ct_i*zhat) - & |
908 |
> |
dudz = dudz + preSw * ( ri3*(uz_i(3) - 3.0_dp*ct_i*zhat) - & |
909 |
|
preRF2*uz_i(3) ) |
910 |
|
|
911 |
< |
duduz_i(1) = duduz_i(1) + sw*pref * xhat * ( ri2 - preRF2*rij ) |
912 |
< |
duduz_i(2) = duduz_i(2) + sw*pref * yhat * ( ri2 - preRF2*rij ) |
913 |
< |
duduz_i(3) = duduz_i(3) + sw*pref * zhat * ( ri2 - preRF2*rij ) |
911 |
> |
duduz_i(1) = duduz_i(1) + preSw * xhat * ( ri2 - preRF2*rij ) |
912 |
> |
duduz_i(2) = duduz_i(2) + preSw * yhat * ( ri2 - preRF2*rij ) |
913 |
> |
duduz_i(3) = duduz_i(3) + preSw * zhat * ( ri2 - preRF2*rij ) |
914 |
|
|
915 |
|
else |
916 |
+ |
! determine inverse r if we are using split dipoles |
917 |
|
if (i_is_SplitDipole) then |
918 |
< |
BigR = sqrt(r2 + 0.25d0 * d_i * d_i) |
919 |
< |
ri = 1.0d0 / BigR |
918 |
> |
BigR = sqrt(r2 + 0.25_dp * d_i * d_i) |
919 |
> |
ri = 1.0_dp / BigR |
920 |
|
scale = rij * ri |
921 |
|
else |
922 |
|
ri = riji |
923 |
< |
scale = 1.0d0 |
923 |
> |
scale = 1.0_dp |
924 |
|
endif |
925 |
< |
|
912 |
< |
ri2 = ri * ri |
913 |
< |
ri3 = ri2 * ri |
925 |
> |
|
926 |
|
sc2 = scale * scale |
927 |
+ |
|
928 |
+ |
if (screeningMethod .eq. DAMPED) then |
929 |
+ |
! assemble the damping variables |
930 |
+ |
call lookupUniformSpline1d(erfcSpline, rij, erfcVal, derfcVal) |
931 |
+ |
c1 = erfcVal*ri |
932 |
+ |
c2 = (-derfcVal + c1)*ri |
933 |
+ |
c3 = -2.0_dp*derfcVal*alpha2 + 3.0_dp*c2*ri |
934 |
+ |
else |
935 |
+ |
c1 = ri |
936 |
+ |
c2 = c1*ri |
937 |
+ |
c3 = 3.0_dp*c2*ri |
938 |
+ |
endif |
939 |
+ |
|
940 |
+ |
c2ri = c2*ri |
941 |
|
|
942 |
< |
pot_term = ri2 * f1 * scale |
942 |
> |
! calculate the potential |
943 |
> |
pot_term = c2 * scale |
944 |
|
vterm = pref * ct_i * pot_term |
945 |
|
vpair = vpair + vterm |
946 |
|
epot = epot + sw*vterm |
947 |
+ |
|
948 |
+ |
! calculate derivatives for the forces and torques |
949 |
+ |
dudx = dudx + preSw * ( uz_i(1)*c2ri - ct_i*xhat*sc2*c3 ) |
950 |
+ |
dudy = dudy + preSw * ( uz_i(2)*c2ri - ct_i*yhat*sc2*c3 ) |
951 |
+ |
dudz = dudz + preSw * ( uz_i(3)*c2ri - ct_i*zhat*sc2*c3 ) |
952 |
+ |
|
953 |
+ |
duduz_i(1) = duduz_i(1) + preSw * pot_term * xhat |
954 |
+ |
duduz_i(2) = duduz_i(2) + preSw * pot_term * yhat |
955 |
+ |
duduz_i(3) = duduz_i(3) + preSw * pot_term * zhat |
956 |
|
|
921 |
– |
dudx = dudx + sw*pref * ri3 * ( uz_i(1)*f1 - & |
922 |
– |
ct_i*xhat*sc2*( 3.0d0*f1 + f3 ) ) |
923 |
– |
dudy = dudy + sw*pref * ri3 * ( uz_i(2)*f1 - & |
924 |
– |
ct_i*yhat*sc2*( 3.0d0*f1 + f3 ) ) |
925 |
– |
dudz = dudz + sw*pref * ri3 * ( uz_i(3)*f1 - & |
926 |
– |
ct_i*zhat*sc2*( 3.0d0*f1 + f3 ) ) |
927 |
– |
|
928 |
– |
duduz_i(1) = duduz_i(1) + sw*pref * pot_term * xhat |
929 |
– |
duduz_i(2) = duduz_i(2) + sw*pref * pot_term * yhat |
930 |
– |
duduz_i(3) = duduz_i(3) + sw*pref * pot_term * zhat |
957 |
|
endif |
958 |
|
endif |
959 |
|
|
960 |
|
if (j_is_Dipole) then |
961 |
< |
if (screeningMethod .eq. DAMPED) then |
936 |
< |
f0 = derfc(dampingAlpha*rij) |
937 |
< |
varEXP = exp(-alpha2*rij*rij) |
938 |
< |
f1 = alphaPi*rij*varEXP + f0 |
939 |
< |
f2 = alphaPi*2.0d0*alpha2*varEXP |
940 |
< |
f3 = f2*rij*rij*rij |
941 |
< |
f4 = 2.0d0*alpha2*f3*rij*rij |
942 |
< |
endif |
943 |
< |
|
961 |
> |
! variables used by all methods |
962 |
|
ct_ij = uz_i(1)*uz_j(1) + uz_i(2)*uz_j(2) + uz_i(3)*uz_j(3) |
945 |
– |
|
946 |
– |
ri2 = riji * riji |
947 |
– |
ri3 = ri2 * riji |
948 |
– |
ri4 = ri2 * ri2 |
949 |
– |
|
963 |
|
pref = pre22 * mu_i * mu_j |
964 |
+ |
preSw = sw*pref |
965 |
|
|
966 |
|
if (summationMethod .eq. REACTION_FIELD) then |
967 |
< |
vterm = pref*( ri3*(ct_ij - 3.0d0 * ct_i * ct_j) - & |
967 |
> |
ri2 = riji * riji |
968 |
> |
ri3 = ri2 * riji |
969 |
> |
ri4 = ri2 * ri2 |
970 |
> |
|
971 |
> |
vterm = pref*( ri3*(ct_ij - 3.0_dp * ct_i * ct_j) - & |
972 |
|
preRF2*ct_ij ) |
973 |
|
vpair = vpair + vterm |
974 |
|
epot = epot + sw*vterm |
975 |
|
|
976 |
< |
a1 = 5.0d0 * ct_i * ct_j - ct_ij |
976 |
> |
a1 = 5.0_dp * ct_i * ct_j - ct_ij |
977 |
|
|
978 |
< |
dudx = dudx + sw*pref*3.0d0*ri4 & |
979 |
< |
* (a1*xhat-ct_i*uz_j(1)-ct_j*uz_i(1)) |
980 |
< |
dudy = dudy + sw*pref*3.0d0*ri4 & |
963 |
< |
* (a1*yhat-ct_i*uz_j(2)-ct_j*uz_i(2)) |
964 |
< |
dudz = dudz + sw*pref*3.0d0*ri4 & |
965 |
< |
* (a1*zhat-ct_i*uz_j(3)-ct_j*uz_i(3)) |
978 |
> |
dudx = dudx + preSw*3.0_dp*ri4*(a1*xhat-ct_i*uz_j(1)-ct_j*uz_i(1)) |
979 |
> |
dudy = dudy + preSw*3.0_dp*ri4*(a1*yhat-ct_i*uz_j(2)-ct_j*uz_i(2)) |
980 |
> |
dudz = dudz + preSw*3.0_dp*ri4*(a1*zhat-ct_i*uz_j(3)-ct_j*uz_i(3)) |
981 |
|
|
982 |
< |
duduz_i(1) = duduz_i(1) + sw*pref*(ri3*(uz_j(1)-3.0d0*ct_j*xhat) & |
982 |
> |
duduz_i(1) = duduz_i(1) + preSw*(ri3*(uz_j(1)-3.0_dp*ct_j*xhat) & |
983 |
|
- preRF2*uz_j(1)) |
984 |
< |
duduz_i(2) = duduz_i(2) + sw*pref*(ri3*(uz_j(2)-3.0d0*ct_j*yhat) & |
984 |
> |
duduz_i(2) = duduz_i(2) + preSw*(ri3*(uz_j(2)-3.0_dp*ct_j*yhat) & |
985 |
|
- preRF2*uz_j(2)) |
986 |
< |
duduz_i(3) = duduz_i(3) + sw*pref*(ri3*(uz_j(3)-3.0d0*ct_j*zhat) & |
986 |
> |
duduz_i(3) = duduz_i(3) + preSw*(ri3*(uz_j(3)-3.0_dp*ct_j*zhat) & |
987 |
|
- preRF2*uz_j(3)) |
988 |
< |
duduz_j(1) = duduz_j(1) + sw*pref*(ri3*(uz_i(1)-3.0d0*ct_i*xhat) & |
988 |
> |
duduz_j(1) = duduz_j(1) + preSw*(ri3*(uz_i(1)-3.0_dp*ct_i*xhat) & |
989 |
|
- preRF2*uz_i(1)) |
990 |
< |
duduz_j(2) = duduz_j(2) + sw*pref*(ri3*(uz_i(2)-3.0d0*ct_i*yhat) & |
990 |
> |
duduz_j(2) = duduz_j(2) + preSw*(ri3*(uz_i(2)-3.0_dp*ct_i*yhat) & |
991 |
|
- preRF2*uz_i(2)) |
992 |
< |
duduz_j(3) = duduz_j(3) + sw*pref*(ri3*(uz_i(3)-3.0d0*ct_i*zhat) & |
992 |
> |
duduz_j(3) = duduz_j(3) + preSw*(ri3*(uz_i(3)-3.0_dp*ct_i*zhat) & |
993 |
|
- preRF2*uz_i(3)) |
994 |
|
|
995 |
|
else |
996 |
|
if (i_is_SplitDipole) then |
997 |
|
if (j_is_SplitDipole) then |
998 |
< |
BigR = sqrt(r2 + 0.25d0 * d_i * d_i + 0.25d0 * d_j * d_j) |
998 |
> |
BigR = sqrt(r2 + 0.25_dp * d_i * d_i + 0.25_dp * d_j * d_j) |
999 |
|
else |
1000 |
< |
BigR = sqrt(r2 + 0.25d0 * d_i * d_i) |
1000 |
> |
BigR = sqrt(r2 + 0.25_dp * d_i * d_i) |
1001 |
|
endif |
1002 |
< |
ri = 1.0d0 / BigR |
1002 |
> |
ri = 1.0_dp / BigR |
1003 |
|
scale = rij * ri |
1004 |
|
else |
1005 |
|
if (j_is_SplitDipole) then |
1006 |
< |
BigR = sqrt(r2 + 0.25d0 * d_j * d_j) |
1007 |
< |
ri = 1.0d0 / BigR |
1006 |
> |
BigR = sqrt(r2 + 0.25_dp * d_j * d_j) |
1007 |
> |
ri = 1.0_dp / BigR |
1008 |
|
scale = rij * ri |
1009 |
|
else |
1010 |
|
ri = riji |
1011 |
< |
scale = 1.0d0 |
1011 |
> |
scale = 1.0_dp |
1012 |
|
endif |
1013 |
|
endif |
1014 |
< |
|
1014 |
> |
|
1015 |
> |
if (screeningMethod .eq. DAMPED) then |
1016 |
> |
! assemble the damping variables |
1017 |
> |
call lookupUniformSpline1d(erfcSpline, rij, erfcVal, derfcVal) |
1018 |
> |
c1 = erfcVal*ri |
1019 |
> |
c2 = (-derfcVal + c1)*ri |
1020 |
> |
c3 = -2.0_dp*derfcVal*alpha2 + 3.0_dp*c2*ri |
1021 |
> |
c4 = -4.0_dp*derfcVal*alpha4 + 5.0_dp*c3*ri*ri |
1022 |
> |
else |
1023 |
> |
c1 = ri |
1024 |
> |
c2 = c1*ri |
1025 |
> |
c3 = 3.0_dp*c2*ri |
1026 |
> |
c4 = 5.0_dp*c3*ri*ri |
1027 |
> |
endif |
1028 |
> |
|
1029 |
> |
! precompute variables for convenience |
1030 |
|
sc2 = scale * scale |
1031 |
+ |
cti3 = ct_i*sc2*c3 |
1032 |
+ |
ctj3 = ct_j*sc2*c3 |
1033 |
+ |
ctidotj = ct_i * ct_j * sc2 |
1034 |
+ |
preSwSc = preSw*scale |
1035 |
+ |
c2ri = c2*ri |
1036 |
+ |
c3ri = c3*ri |
1037 |
+ |
c4rij = c4*rij |
1038 |
|
|
1039 |
< |
pot_term = (ct_ij - 3.0d0 * ct_i * ct_j * sc2) |
1040 |
< |
vterm = pref * ( ri3*pot_term*f1 + (ct_i * ct_j)*f2 ) |
1039 |
> |
|
1040 |
> |
! calculate the potential |
1041 |
> |
pot_term = (ct_ij*c2ri - ctidotj*c3) |
1042 |
> |
vterm = pref * pot_term |
1043 |
|
vpair = vpair + vterm |
1044 |
|
epot = epot + sw*vterm |
1006 |
– |
|
1007 |
– |
f13 = f1+f3 |
1008 |
– |
f134 = f13 + f4 |
1009 |
– |
|
1010 |
– |
!!$ dudx = dudx + sw*pref * ( ri4*scale*( & |
1011 |
– |
!!$ 3.0d0*(a1*xhat-ct_i*uz_j(1)-ct_j*uz_i(1))*f1 & |
1012 |
– |
!!$ - pot_term*f3) & |
1013 |
– |
!!$ + 2.0d0*ct_i*ct_j*xhat*(ct_i*uz_j(1)+ct_j*uz_i(1))*f3 & |
1014 |
– |
!!$ + (ct_i * ct_j)*f4 ) |
1015 |
– |
!!$ dudy = dudy + sw*pref * ( ri4*scale*( & |
1016 |
– |
!!$ 3.0d0*(a1*yhat-ct_i*uz_j(2)-ct_j*uz_i(2))*f1 & |
1017 |
– |
!!$ - pot_term*f3) & |
1018 |
– |
!!$ + 2.0d0*ct_i*ct_j*yhat*(ct_i*uz_j(2)+ct_j*uz_i(2))*f3 & |
1019 |
– |
!!$ + (ct_i * ct_j)*f4 ) |
1020 |
– |
!!$ dudz = dudz + sw*pref * ( ri4*scale*( & |
1021 |
– |
!!$ 3.0d0*(a1*zhat-ct_i*uz_j(3)-ct_j*uz_i(3))*f1 & |
1022 |
– |
!!$ - pot_term*f3) & |
1023 |
– |
!!$ + 2.0d0*ct_i*ct_j*zhat*(ct_i*uz_j(3)+ct_j*uz_i(3))*f3 & |
1024 |
– |
!!$ + (ct_i * ct_j)*f4 ) |
1045 |
|
|
1046 |
< |
dudx = dudx + sw*pref * ( ri4*scale*( & |
1047 |
< |
15.0d0*(ct_i * ct_j * sc2)*xhat*f134 - & |
1048 |
< |
3.0d0*(ct_i*uz_j(1) + ct_j*uz_i(1) + ct_ij*xhat)*f134) ) |
1049 |
< |
dudy = dudy + sw*pref * ( ri4*scale*( & |
1050 |
< |
15.0d0*(ct_i * ct_j * sc2)*yhat*f134 - & |
1051 |
< |
3.0d0*(ct_i*uz_j(2) + ct_j*uz_i(2) + ct_ij*yhat)*f134) ) |
1052 |
< |
dudz = dudz + sw*pref * ( ri4*scale*( & |
1053 |
< |
15.0d0*(ct_i * ct_j * sc2)*zhat*f134 - & |
1054 |
< |
3.0d0*(ct_i*uz_j(3) + ct_j*uz_i(3) + ct_ij*zhat)*f134) ) |
1046 |
> |
! calculate derivatives for the forces and torques |
1047 |
> |
dudx = dudx + preSwSc * ( ctidotj*xhat*c4rij - & |
1048 |
> |
(ct_i*uz_j(1) + ct_j*uz_i(1) + ct_ij*xhat)*c3ri ) |
1049 |
> |
dudy = dudy + preSwSc * ( ctidotj*yhat*c4rij - & |
1050 |
> |
(ct_i*uz_j(2) + ct_j*uz_i(2) + ct_ij*yhat)*c3ri ) |
1051 |
> |
dudz = dudz + preSwSc * ( ctidotj*zhat*c4rij - & |
1052 |
> |
(ct_i*uz_j(3) + ct_j*uz_i(3) + ct_ij*zhat)*c3ri ) |
1053 |
> |
|
1054 |
> |
duduz_i(1) = duduz_i(1) + preSw * ( uz_j(1)*c2ri - ctj3*xhat ) |
1055 |
> |
duduz_i(2) = duduz_i(2) + preSw * ( uz_j(2)*c2ri - ctj3*yhat ) |
1056 |
> |
duduz_i(3) = duduz_i(3) + preSw * ( uz_j(3)*c2ri - ctj3*zhat ) |
1057 |
|
|
1058 |
< |
duduz_i(1) = duduz_i(1) + sw*pref * & |
1059 |
< |
( ri3*(uz_j(1) - 3.0d0*ct_j*xhat*sc2)*f1 + (ct_j*xhat)*f2 ) |
1060 |
< |
duduz_i(2) = duduz_i(2) + sw*pref * & |
1061 |
< |
( ri3*(uz_j(2) - 3.0d0*ct_j*yhat*sc2)*f1 + (ct_j*yhat)*f2 ) |
1040 |
< |
duduz_i(3) = duduz_i(3) + sw*pref * & |
1041 |
< |
( ri3*(uz_j(3) - 3.0d0*ct_j*zhat*sc2)*f1 + (ct_j*zhat)*f2 ) |
1042 |
< |
|
1043 |
< |
duduz_j(1) = duduz_j(1) + sw*pref * & |
1044 |
< |
( ri3*(uz_i(1) - 3.0d0*ct_i*xhat*sc2)*f1 + (ct_i*xhat)*f2 ) |
1045 |
< |
duduz_j(2) = duduz_j(2) + sw*pref * & |
1046 |
< |
( ri3*(uz_i(2) - 3.0d0*ct_i*yhat*sc2)*f1 + (ct_i*yhat)*f2 ) |
1047 |
< |
duduz_j(3) = duduz_j(3) + sw*pref * & |
1048 |
< |
( ri3*(uz_i(3) - 3.0d0*ct_i*zhat*sc2)*f1 + (ct_i*zhat)*f2 ) |
1058 |
> |
duduz_j(1) = duduz_j(1) + preSw * ( uz_i(1)*c2ri - cti3*xhat ) |
1059 |
> |
duduz_j(2) = duduz_j(2) + preSw * ( uz_i(2)*c2ri - cti3*yhat ) |
1060 |
> |
duduz_j(3) = duduz_j(3) + preSw * ( uz_i(3)*c2ri - cti3*zhat ) |
1061 |
> |
|
1062 |
|
endif |
1063 |
|
endif |
1064 |
|
endif |
1066 |
|
if (i_is_Quadrupole) then |
1067 |
|
if (j_is_Charge) then |
1068 |
|
if (screeningMethod .eq. DAMPED) then |
1069 |
< |
f0 = derfc(dampingAlpha*rij) |
1070 |
< |
varEXP = exp(-alpha2*rij*rij) |
1071 |
< |
f1 = alphaPi*rij*varEXP + f0 |
1072 |
< |
f2 = alphaPi*2.0d0*alpha2*varEXP |
1073 |
< |
f3 = f2*rij*rij*rij |
1074 |
< |
f4 = 2.0d0*alpha2*f2*rij |
1069 |
> |
! assemble the damping variables |
1070 |
> |
call lookupUniformSpline1d(erfcSpline, rij, erfcVal, derfcVal) |
1071 |
> |
c1 = erfcVal*riji |
1072 |
> |
c2 = (-derfcVal + c1)*riji |
1073 |
> |
c3 = -2.0_dp*derfcVal*alpha2 + 3.0_dp*c2*riji |
1074 |
> |
c4 = -4.0_dp*derfcVal*alpha4 + 5.0_dp*c3*riji*riji |
1075 |
> |
else |
1076 |
> |
c1 = riji |
1077 |
> |
c2 = c1*riji |
1078 |
> |
c3 = 3.0_dp*c2*riji |
1079 |
> |
c4 = 5.0_dp*c3*riji*riji |
1080 |
|
endif |
1081 |
< |
|
1082 |
< |
ri2 = riji * riji |
1065 |
< |
ri3 = ri2 * riji |
1066 |
< |
ri4 = ri2 * ri2 |
1081 |
> |
|
1082 |
> |
! precompute some variables |
1083 |
|
cx2 = cx_i * cx_i |
1084 |
|
cy2 = cy_i * cy_i |
1085 |
|
cz2 = cz_i * cz_i |
1086 |
+ |
pref = pre14 * q_j * one_third |
1087 |
|
|
1088 |
< |
pref = pre14 * q_j / 3.0d0 |
1089 |
< |
pot_term = ri3 * (qxx_i * (3.0d0*cx2 - 1.0d0) + & |
1090 |
< |
qyy_i * (3.0d0*cy2 - 1.0d0) + & |
1091 |
< |
qzz_i * (3.0d0*cz2 - 1.0d0)) |
1092 |
< |
vterm = pref * (pot_term*f1 + (qxx_i*cx2 + qyy_i*cy2 + qzz_i*cz2)*f2) |
1088 |
> |
! calculate the potential |
1089 |
> |
pot_term = ( qxx_i * (cx2*c3 - c2ri) + qyy_i * (cy2*c3 - c2ri) + & |
1090 |
> |
qzz_i * (cz2*c3 - c2ri) ) |
1091 |
> |
|
1092 |
> |
vterm = pref * pot_term |
1093 |
|
vpair = vpair + vterm |
1094 |
|
epot = epot + sw*vterm |
1095 |
< |
|
1096 |
< |
dudx = dudx - sw*pref*pot_term*riji*xhat*(5.0d0*f1 + f3) + & |
1097 |
< |
sw*pref*ri4 * ( & |
1098 |
< |
qxx_i*(2.0d0*cx_i*ux_i(1)*(3.0d0*f1 + f3) - 2.0d0*xhat*f1) + & |
1099 |
< |
qyy_i*(2.0d0*cy_i*uy_i(1)*(3.0d0*f1 + f3) - 2.0d0*xhat*f1) + & |
1100 |
< |
qzz_i*(2.0d0*cz_i*uz_i(1)*(3.0d0*f1 + f3) - 2.0d0*xhat*f1) ) & |
1101 |
< |
+ (qxx_i*cx2 + qyy_i*cy2 + qzz_i*cz2)*f4 |
1102 |
< |
dudy = dudy - sw*pref*pot_term*riji*yhat*(5.0d0*f1 + f3) + & |
1103 |
< |
sw*pref*ri4 * ( & |
1104 |
< |
qxx_i*(2.0d0*cx_i*ux_i(2)*(3.0d0*f1 + f3) - 2.0d0*yhat*f1) + & |
1105 |
< |
qyy_i*(2.0d0*cy_i*uy_i(2)*(3.0d0*f1 + f3) - 2.0d0*yhat*f1) + & |
1106 |
< |
qzz_i*(2.0d0*cz_i*uz_i(2)*(3.0d0*f1 + f3) - 2.0d0*yhat*f1) ) & |
1090 |
< |
+ (qxx_i*cx2 + qyy_i*cy2 + qzz_i*cz2)*f4 |
1091 |
< |
dudz = dudz - sw*pref*pot_term*riji*zhat*(5.0d0*f1 + f3) + & |
1092 |
< |
sw*pref*ri4 * ( & |
1093 |
< |
qxx_i*(2.0d0*cx_i*ux_i(3)*(3.0d0*f1 + f3) - 2.0d0*zhat*f1) + & |
1094 |
< |
qyy_i*(2.0d0*cy_i*uy_i(3)*(3.0d0*f1 + f3) - 2.0d0*zhat*f1) + & |
1095 |
< |
qzz_i*(2.0d0*cz_i*uz_i(3)*(3.0d0*f1 + f3) - 2.0d0*zhat*f1) ) & |
1096 |
< |
+ (qxx_i*cx2 + qyy_i*cy2 + qzz_i*cz2)*f4 |
1097 |
< |
|
1098 |
< |
dudux_i(1) = dudux_i(1) + sw*pref*( ri3*(qxx_i*2.0d0*cx_i*xhat) & |
1099 |
< |
* (3.0d0*f1 + f3) ) |
1100 |
< |
dudux_i(2) = dudux_i(2) + sw*pref*( ri3*(qxx_i*2.0d0*cx_i*yhat) & |
1101 |
< |
* (3.0d0*f1 + f3) ) |
1102 |
< |
dudux_i(3) = dudux_i(3) + sw*pref*( ri3*(qxx_i*2.0d0*cx_i*zhat) & |
1103 |
< |
* (3.0d0*f1 + f3) ) |
1104 |
< |
|
1105 |
< |
duduy_i(1) = duduy_i(1) + sw*pref*( ri3*(qyy_i*2.0d0*cy_i*xhat) & |
1106 |
< |
* (3.0d0*f1 + f3) ) |
1107 |
< |
duduy_i(2) = duduy_i(2) + sw*pref*( ri3*(qyy_i*2.0d0*cy_i*yhat) & |
1108 |
< |
* (3.0d0*f1 + f3) ) |
1109 |
< |
duduy_i(3) = duduy_i(3) + sw*pref*( ri3*(qyy_i*2.0d0*cy_i*zhat) & |
1110 |
< |
* (3.0d0*f1 + f3) ) |
1111 |
< |
|
1112 |
< |
duduz_i(1) = duduz_i(1) + sw*pref*( ri3*(qzz_i*2.0d0*cz_i*xhat) & |
1113 |
< |
* (3.0d0*f1 + f3) ) |
1114 |
< |
duduz_i(2) = duduz_i(2) + sw*pref*( ri3*(qzz_i*2.0d0*cz_i*yhat) & |
1115 |
< |
* (3.0d0*f1 + f3) ) |
1116 |
< |
duduz_i(3) = duduz_i(3) + sw*pref*( ri3*(qzz_i*2.0d0*cz_i*zhat) & |
1117 |
< |
* (3.0d0*f1 + f3) ) |
1095 |
> |
|
1096 |
> |
! precompute variables for convenience |
1097 |
> |
preSw = sw*pref |
1098 |
> |
c2ri = c2*riji |
1099 |
> |
c3ri = c3*riji |
1100 |
> |
c4rij = c4*rij |
1101 |
> |
xhatdot2 = 2.0_dp*xhat*c3 |
1102 |
> |
yhatdot2 = 2.0_dp*yhat*c3 |
1103 |
> |
zhatdot2 = 2.0_dp*zhat*c3 |
1104 |
> |
xhatc4 = xhat*c4rij |
1105 |
> |
yhatc4 = yhat*c4rij |
1106 |
> |
zhatc4 = zhat*c4rij |
1107 |
|
|
1108 |
+ |
! calculate the derivatives for the forces and torques |
1109 |
+ |
dudx = dudx - preSw * ( & |
1110 |
+ |
qxx_i*(cx2*xhatc4 - (2.0_dp*cx_i*ux_i(1) + xhat)*c3ri) + & |
1111 |
+ |
qyy_i*(cy2*xhatc4 - (2.0_dp*cy_i*uy_i(1) + xhat)*c3ri) + & |
1112 |
+ |
qzz_i*(cz2*xhatc4 - (2.0_dp*cz_i*uz_i(1) + xhat)*c3ri) ) |
1113 |
+ |
dudy = dudy - preSw * ( & |
1114 |
+ |
qxx_i*(cx2*yhatc4 - (2.0_dp*cx_i*ux_i(2) + yhat)*c3ri) + & |
1115 |
+ |
qyy_i*(cy2*yhatc4 - (2.0_dp*cy_i*uy_i(2) + yhat)*c3ri) + & |
1116 |
+ |
qzz_i*(cz2*yhatc4 - (2.0_dp*cz_i*uz_i(2) + yhat)*c3ri) ) |
1117 |
+ |
dudz = dudz - preSw * ( & |
1118 |
+ |
qxx_i*(cx2*zhatc4 - (2.0_dp*cx_i*ux_i(3) + zhat)*c3ri) + & |
1119 |
+ |
qyy_i*(cy2*zhatc4 - (2.0_dp*cy_i*uy_i(3) + zhat)*c3ri) + & |
1120 |
+ |
qzz_i*(cz2*zhatc4 - (2.0_dp*cz_i*uz_i(3) + zhat)*c3ri) ) |
1121 |
+ |
|
1122 |
+ |
dudux_i(1) = dudux_i(1) + preSw*(qxx_i*cx_i*xhatdot2) |
1123 |
+ |
dudux_i(2) = dudux_i(2) + preSw*(qxx_i*cx_i*yhatdot2) |
1124 |
+ |
dudux_i(3) = dudux_i(3) + preSw*(qxx_i*cx_i*zhatdot2) |
1125 |
+ |
|
1126 |
+ |
duduy_i(1) = duduy_i(1) + preSw*(qyy_i*cy_i*xhatdot2) |
1127 |
+ |
duduy_i(2) = duduy_i(2) + preSw*(qyy_i*cy_i*yhatdot2) |
1128 |
+ |
duduy_i(3) = duduy_i(3) + preSw*(qyy_i*cy_i*zhatdot2) |
1129 |
+ |
|
1130 |
+ |
duduz_i(1) = duduz_i(1) + preSw*(qzz_i*cz_i*xhatdot2) |
1131 |
+ |
duduz_i(2) = duduz_i(2) + preSw*(qzz_i*cz_i*yhatdot2) |
1132 |
+ |
duduz_i(3) = duduz_i(3) + preSw*(qzz_i*cz_i*zhatdot2) |
1133 |
|
endif |
1134 |
|
endif |
1135 |
|
|
1136 |
|
|
1137 |
|
if (do_pot) then |
1138 |
|
#ifdef IS_MPI |
1139 |
< |
pot_row(ELECTROSTATIC_POT,atom1) = pot_row(ELECTROSTATIC_POT,atom1) + 0.5d0*epot |
1140 |
< |
pot_col(ELECTROSTATIC_POT,atom2) = pot_col(ELECTROSTATIC_POT,atom2) + 0.5d0*epot |
1139 |
> |
pot_row(ELECTROSTATIC_POT,atom1) = pot_row(ELECTROSTATIC_POT,atom1) + 0.5_dp*epot |
1140 |
> |
pot_col(ELECTROSTATIC_POT,atom2) = pot_col(ELECTROSTATIC_POT,atom2) + 0.5_dp*epot |
1141 |
|
#else |
1142 |
|
pot = pot + epot |
1143 |
|
#endif |
1254 |
|
integer :: atid1 |
1255 |
|
real(kind=dp), dimension(9,nLocal) :: eFrame |
1256 |
|
real(kind=dp), dimension(3,nLocal) :: t |
1257 |
< |
real(kind=dp) :: mu1, c1 |
1257 |
> |
real(kind=dp) :: mu1, chg1 |
1258 |
|
real(kind=dp) :: preVal, epot, mypot |
1259 |
|
real(kind=dp) :: eix, eiy, eiz |
1260 |
|
|
1270 |
|
mu1 = getDipoleMoment(atid1) |
1271 |
|
|
1272 |
|
preVal = pre22 * preRF2 * mu1*mu1 |
1273 |
< |
mypot = mypot - 0.5d0*preVal |
1273 |
> |
mypot = mypot - 0.5_dp*preVal |
1274 |
|
|
1275 |
|
! The self-correction term adds into the reaction field vector |
1276 |
|
|
1293 |
|
elseif ( (summationMethod .eq. SHIFTED_FORCE) .or. & |
1294 |
|
(summationMethod .eq. SHIFTED_POTENTIAL) ) then |
1295 |
|
if (ElectrostaticMap(atid1)%is_Charge) then |
1296 |
< |
c1 = getCharge(atid1) |
1296 |
> |
chg1 = getCharge(atid1) |
1297 |
|
|
1298 |
|
if (screeningMethod .eq. DAMPED) then |
1299 |
< |
mypot = mypot - (f0c * rcuti * 0.5d0 + & |
1300 |
< |
dampingAlpha*invRootPi) * c1 * c1 |
1299 |
> |
mypot = mypot - (c1c * 0.5_dp + & |
1300 |
> |
dampingAlpha*invRootPi) * chg1 * chg1 |
1301 |
|
|
1302 |
|
else |
1303 |
< |
mypot = mypot - (rcuti * 0.5d0 * c1 * c1) |
1303 |
> |
mypot = mypot - (rcuti * 0.5_dp * chg1 * chg1) |
1304 |
|
|
1305 |
|
endif |
1306 |
|
endif |
1340 |
|
call checkSummationMethod() |
1341 |
|
endif |
1342 |
|
|
1343 |
< |
dudx = 0.0d0 |
1344 |
< |
dudy = 0.0d0 |
1345 |
< |
dudz = 0.0d0 |
1343 |
> |
dudx = zero |
1344 |
> |
dudy = zero |
1345 |
> |
dudz = zero |
1346 |
|
|
1347 |
< |
riji = 1.0d0/rij |
1347 |
> |
riji = 1.0_dp/rij |
1348 |
|
|
1349 |
|
xhat = d(1) * riji |
1350 |
|
yhat = d(2) * riji |
1368 |
|
|
1369 |
|
myPot = myPot + sw*vterm |
1370 |
|
|
1371 |
< |
dudr = sw*preVal * 2.0d0*rfVal*riji |
1371 |
> |
dudr = sw*preVal * 2.0_dp*rfVal*riji |
1372 |
|
|
1373 |
|
dudx = dudx + dudr * xhat |
1374 |
|
dudy = dudy + dudr * yhat |
1389 |
|
vterm = - pref * ct_j * ( ri2 - preRF2*rij ) |
1390 |
|
myPot = myPot + sw*vterm |
1391 |
|
|
1392 |
< |
dudx = dudx - sw*pref*( ri3*(uz_j(1)-3.0d0*ct_j*xhat) & |
1392 |
> |
dudx = dudx - sw*pref*( ri3*(uz_j(1)-3.0_dp*ct_j*xhat) & |
1393 |
|
- preRF2*uz_j(1) ) |
1394 |
< |
dudy = dudy - sw*pref*( ri3*(uz_j(2)-3.0d0*ct_j*yhat) & |
1394 |
> |
dudy = dudy - sw*pref*( ri3*(uz_j(2)-3.0_dp*ct_j*yhat) & |
1395 |
|
- preRF2*uz_j(2) ) |
1396 |
< |
dudz = dudz - sw*pref*( ri3*(uz_j(3)-3.0d0*ct_j*zhat) & |
1396 |
> |
dudz = dudz - sw*pref*( ri3*(uz_j(3)-3.0_dp*ct_j*zhat) & |
1397 |
|
- preRF2*uz_j(3) ) |
1398 |
|
|
1399 |
|
duduz_j(1) = duduz_j(1) - sw * pref * xhat * ( ri2 - preRF2*rij ) |
1415 |
|
vterm = pref * ct_i * ( ri2 - preRF2*rij ) |
1416 |
|
myPot = myPot + sw*vterm |
1417 |
|
|
1418 |
< |
dudx = dudx + sw*pref*( ri3*(uz_i(1)-3.0d0*ct_i*xhat) & |
1418 |
> |
dudx = dudx + sw*pref*( ri3*(uz_i(1)-3.0_dp*ct_i*xhat) & |
1419 |
|
- preRF2*uz_i(1) ) |
1420 |
< |
dudy = dudy + sw*pref*( ri3*(uz_i(2)-3.0d0*ct_i*yhat) & |
1420 |
> |
dudy = dudy + sw*pref*( ri3*(uz_i(2)-3.0_dp*ct_i*yhat) & |
1421 |
|
- preRF2*uz_i(2) ) |
1422 |
< |
dudz = dudz + sw*pref*( ri3*(uz_i(3)-3.0d0*ct_i*zhat) & |
1422 |
> |
dudz = dudz + sw*pref*( ri3*(uz_i(3)-3.0_dp*ct_i*zhat) & |
1423 |
|
- preRF2*uz_i(3) ) |
1424 |
|
|
1425 |
|
duduz_i(1) = duduz_i(1) + sw * pref * xhat * ( ri2 - preRF2*rij ) |