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!! |
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!! Copyright (c) 2005 The University of Notre Dame. All Rights Reserved. |
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!! |
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!! The University of Notre Dame grants you ("Licensee") a |
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!! non-exclusive, royalty free, license to use, modify and |
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!! redistribute this software in source and binary code form, provided |
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!! that the following conditions are met: |
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!! |
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!! 1. Acknowledgement of the program authors must be made in any |
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!! publication of scientific results based in part on use of the |
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!! program. An acceptable form of acknowledgement is citation of |
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!! the article in which the program was described (Matthew |
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!! A. Meineke, Charles F. Vardeman II, Teng Lin, Christopher |
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!! J. Fennell and J. Daniel Gezelter, "OOPSE: An Object-Oriented |
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!! Parallel Simulation Engine for Molecular Dynamics," |
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!! J. Comput. Chem. 26, pp. 252-271 (2005)) |
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!! |
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!! 2. Redistributions of source code must retain the above copyright |
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!! notice, this list of conditions and the following disclaimer. |
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!! |
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!! 3. Redistributions in binary form must reproduce the above copyright |
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!! notice, this list of conditions and the following disclaimer in the |
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!! documentation and/or other materials provided with the |
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!! distribution. |
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!! |
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!! This software is provided "AS IS," without a warranty of any |
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!! kind. All express or implied conditions, representations and |
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!! warranties, including any implied warranty of merchantability, |
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!! fitness for a particular purpose or non-infringement, are hereby |
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!! excluded. The University of Notre Dame and its licensors shall not |
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!! be liable for any damages suffered by licensee as a result of |
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!! using, modifying or distributing the software or its |
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!! derivatives. In no event will the University of Notre Dame or its |
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!! licensors be liable for any lost revenue, profit or data, or for |
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!! direct, indirect, special, consequential, incidental or punitive |
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!! damages, however caused and regardless of the theory of liability, |
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!! arising out of the use of or inability to use software, even if the |
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!! University of Notre Dame has been advised of the possibility of |
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!! such damages. |
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!! |
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|
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|
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module shapes |
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|
| 45 |
|
use force_globals |
| 104 |
|
type(ShapeList), save :: ShapeMap |
| 105 |
|
|
| 106 |
|
integer :: lmax |
| 65 |
– |
real (kind=dp), allocatable, dimension(:,:) :: plm_i, dlm_i, plm_j, dlm_j |
| 66 |
– |
real (kind=dp), allocatable, dimension(:) :: tm_i, dtm_i, um_i, dum_i |
| 67 |
– |
real (kind=dp), allocatable, dimension(:) :: tm_j, dtm_j, um_j, dum_j |
| 107 |
|
|
| 108 |
|
contains |
| 109 |
|
|
| 390 |
|
real (kind=dp), intent(inout) :: rij, r2 |
| 391 |
|
real (kind=dp), dimension(3), intent(in) :: d |
| 392 |
|
real (kind=dp), dimension(3), intent(inout) :: fpair |
| 393 |
< |
real (kind=dp) :: pot, vpair, sw |
| 393 |
> |
real (kind=dp) :: pot, vpair, sw, dswdr |
| 394 |
|
real (kind=dp), dimension(9,nLocal) :: A |
| 395 |
|
real (kind=dp), dimension(3,nLocal) :: f |
| 396 |
|
real (kind=dp), dimension(3,nLocal) :: t |
| 401 |
|
integer :: l, m, lm, id1, id2, localError, function_type |
| 402 |
|
real (kind=dp) :: sigma_i, s_i, eps_i, sigma_j, s_j, eps_j |
| 403 |
|
real (kind=dp) :: coeff |
| 404 |
+ |
real (kind=dp) :: pot_temp |
| 405 |
|
|
| 406 |
|
real (kind=dp) :: dsigmaidx, dsigmaidy, dsigmaidz |
| 407 |
|
real (kind=dp) :: dsigmaidux, dsigmaiduy, dsigmaiduz |
| 419 |
|
real (kind=dp) :: depsjdux, depsjduy, depsjduz |
| 420 |
|
|
| 421 |
|
real (kind=dp) :: xi, yi, zi, xj, yj, zj, xi2, yi2, zi2, xj2, yj2, zj2 |
| 422 |
+ |
|
| 423 |
+ |
real (kind=dp) :: sti2, stj2 |
| 424 |
|
|
| 425 |
|
real (kind=dp) :: proji, proji3, projj, projj3 |
| 426 |
|
real (kind=dp) :: cti, ctj, cpi, cpj, spi, spj |
| 480 |
|
real (kind=dp) :: fxji, fyji, fzji, fxjj, fyjj, fzjj |
| 481 |
|
real (kind=dp) :: fxradial, fyradial, fzradial |
| 482 |
|
|
| 483 |
< |
real (kind=dp) :: plm_i(LMAX,MMAX), dlm_i(LMAX,MMAX) |
| 484 |
< |
real (kind=dp) :: plm_j(LMAX,MMAX), dlm_j(LMAX,MMAX) |
| 485 |
< |
real (kind=dp) :: tm_i(MMAX), dtm_i(MMAX), um_i(MMAX), dum_i(MMAX) |
| 486 |
< |
real (kind=dp) :: tm_j(MMAX), dtm_j(MMAX), um_j(MMAX), dum_j(MMAX) |
| 483 |
> |
real (kind=dp) :: plm_i(0:LMAX,0:MMAX), dlm_i(0:LMAX,0:MMAX) |
| 484 |
> |
real (kind=dp) :: plm_j(0:LMAX,0:MMAX), dlm_j(0:LMAX,0:MMAX) |
| 485 |
> |
real (kind=dp) :: tm_i(0:MMAX), dtm_i(0:MMAX), um_i(0:MMAX), dum_i(0:MMAX) |
| 486 |
> |
real (kind=dp) :: tm_j(0:MMAX), dtm_j(0:MMAX), um_j(0:MMAX), dum_j(0:MMAX) |
| 487 |
|
|
| 488 |
|
if (.not.haveShapeMap) then |
| 489 |
|
call handleError("calc_shape", "NO SHAPEMAP!!!!") |
| 562 |
|
|
| 563 |
|
xi2 = xi*xi |
| 564 |
|
yi2 = yi*yi |
| 565 |
< |
zi2 = zi*zi |
| 524 |
< |
|
| 525 |
< |
proji = sqrt(xi2 + yi2) |
| 526 |
< |
proji3 = proji*proji*proji |
| 527 |
< |
|
| 565 |
> |
zi2 = zi*zi |
| 566 |
|
cti = zi / rij |
| 567 |
|
|
| 568 |
+ |
if (cti .gt. 1.0_dp) cti = 1.0_dp |
| 569 |
+ |
if (cti .lt. -1.0_dp) cti = -1.0_dp |
| 570 |
+ |
|
| 571 |
|
dctidx = - zi * xi / r3 |
| 572 |
|
dctidy = - zi * yi / r3 |
| 573 |
|
dctidz = 1.0d0 / rij - zi2 / r3 |
| 574 |
< |
dctidux = yi / rij |
| 575 |
< |
dctiduy = -xi / rij |
| 576 |
< |
dctiduz = 0.0d0 |
| 574 |
> |
dctidux = - (zi * xi2) / r3 |
| 575 |
> |
dctiduy = - (zi * yi2) / r3 |
| 576 |
> |
dctiduz = zi / rij - (zi2 * zi) / r3 |
| 577 |
> |
|
| 578 |
> |
! this is an attempt to try to truncate the singularity when |
| 579 |
> |
! sin(theta) is near 0.0: |
| 580 |
> |
|
| 581 |
> |
sti2 = 1.0_dp - cti*cti |
| 582 |
> |
if (dabs(sti2) .lt. 1.0d-12) then |
| 583 |
> |
proji = sqrt(rij * 1.0d-12) |
| 584 |
> |
dcpidx = 1.0d0 / proji |
| 585 |
> |
dcpidy = 0.0d0 |
| 586 |
> |
dcpidux = xi / proji |
| 587 |
> |
dcpiduy = 0.0d0 |
| 588 |
> |
dspidx = 0.0d0 |
| 589 |
> |
dspidy = 1.0d0 / proji |
| 590 |
> |
dspidux = 0.0d0 |
| 591 |
> |
dspiduy = yi / proji |
| 592 |
> |
else |
| 593 |
> |
proji = sqrt(xi2 + yi2) |
| 594 |
> |
proji3 = proji*proji*proji |
| 595 |
> |
dcpidx = 1.0d0 / proji - xi2 / proji3 |
| 596 |
> |
dcpidy = - xi * yi / proji3 |
| 597 |
> |
dcpidux = xi / proji - (xi2 * xi) / proji3 |
| 598 |
> |
dcpiduy = - (xi * yi2) / proji3 |
| 599 |
> |
dspidx = - xi * yi / proji3 |
| 600 |
> |
dspidy = 1.0d0 / proji - yi2 / proji3 |
| 601 |
> |
dspidux = - (yi * xi2) / proji3 |
| 602 |
> |
dspiduy = yi / proji - (yi2 * yi) / proji3 |
| 603 |
> |
endif |
| 604 |
|
|
| 605 |
|
cpi = xi / proji |
| 538 |
– |
dcpidx = 1.0d0 / proji - xi2 / proji3 |
| 539 |
– |
dcpidy = - xi * yi / proji3 |
| 606 |
|
dcpidz = 0.0d0 |
| 607 |
< |
dcpidux = xi * yi * zi / proji3 |
| 542 |
< |
dcpiduy = -zi * (1.0d0 / proji - xi2 / proji3) |
| 543 |
< |
dcpiduz = -yi * (1.0d0 / proji - xi2 / proji3) - (xi2 * yi / proji3) |
| 607 |
> |
dcpiduz = 0.0d0 |
| 608 |
|
|
| 609 |
|
spi = yi / proji |
| 546 |
– |
dspidx = - xi * yi / proji3 |
| 547 |
– |
dspidy = 1.0d0 / proji - yi2 / proji3 |
| 610 |
|
dspidz = 0.0d0 |
| 611 |
< |
dspidux = -zi * (1.0d0 / proji - yi2 / proji3) |
| 550 |
< |
dspiduy = xi * yi * zi / proji3 |
| 551 |
< |
dspiduz = xi * (1.0d0 / proji - yi2 / proji3) + (xi * yi2 / proji3) |
| 611 |
> |
dspiduz = 0.0d0 |
| 612 |
|
|
| 613 |
< |
call Associated_Legendre(cti, ShapeMap%Shapes(st1)%bigL, & |
| 614 |
< |
ShapeMap%Shapes(st1)%bigM, LMAX, & |
| 613 |
> |
call Associated_Legendre(cti, ShapeMap%Shapes(st1)%bigM, & |
| 614 |
> |
ShapeMap%Shapes(st1)%bigL, LMAX, & |
| 615 |
|
plm_i, dlm_i) |
| 616 |
|
|
| 617 |
|
call Orthogonal_Polynomial(cpi, ShapeMap%Shapes(st1)%bigM, MMAX, & |
| 648 |
|
function_type = ShapeMap%Shapes(st1)%ContactFunctionType(lm) |
| 649 |
|
|
| 650 |
|
if ((function_type .eq. SH_COS).or.(m.eq.0)) then |
| 591 |
– |
! write(*,*) tm_i(m), ' is tm_i' |
| 651 |
|
Phunc = coeff * tm_i(m) |
| 652 |
|
dPhuncdX = coeff * dtm_i(m) * dcpidx |
| 653 |
|
dPhuncdY = coeff * dtm_i(m) * dcpidy |
| 665 |
|
dPhuncdUz = coeff*(spi * dum_i(m-1)*dcpiduz + dspiduz *um_i(m-1)) |
| 666 |
|
endif |
| 667 |
|
|
| 668 |
< |
sigma_i = sigma_i + plm_i(l,m)*Phunc |
| 669 |
< |
write(*,*) plm_i(l,m), l, m |
| 670 |
< |
dsigmaidx = dsigmaidx + plm_i(l,m)*dPhuncdX + & |
| 671 |
< |
Phunc * dlm_i(l,m) * dctidx |
| 672 |
< |
dsigmaidy = dsigmaidy + plm_i(l,m)*dPhuncdY + & |
| 673 |
< |
Phunc * dlm_i(l,m) * dctidy |
| 674 |
< |
dsigmaidz = dsigmaidz + plm_i(l,m)*dPhuncdZ + & |
| 675 |
< |
Phunc * dlm_i(l,m) * dctidz |
| 668 |
> |
sigma_i = sigma_i + plm_i(m,l)*Phunc |
| 669 |
> |
|
| 670 |
> |
dsigmaidx = dsigmaidx + plm_i(m,l)*dPhuncdX + & |
| 671 |
> |
Phunc * dlm_i(m,l) * dctidx |
| 672 |
> |
dsigmaidy = dsigmaidy + plm_i(m,l)*dPhuncdY + & |
| 673 |
> |
Phunc * dlm_i(m,l) * dctidy |
| 674 |
> |
dsigmaidz = dsigmaidz + plm_i(m,l)*dPhuncdZ + & |
| 675 |
> |
Phunc * dlm_i(m,l) * dctidz |
| 676 |
|
|
| 677 |
< |
dsigmaidux = dsigmaidux + plm_i(l,m)* dPhuncdUx + & |
| 678 |
< |
Phunc * dlm_i(l,m) * dctidux |
| 679 |
< |
dsigmaiduy = dsigmaiduy + plm_i(l,m)* dPhuncdUy + & |
| 680 |
< |
Phunc * dlm_i(l,m) * dctiduy |
| 681 |
< |
dsigmaiduz = dsigmaiduz + plm_i(l,m)* dPhuncdUz + & |
| 682 |
< |
Phunc * dlm_i(l,m) * dctiduz |
| 677 |
> |
dsigmaidux = dsigmaidux + plm_i(m,l)* dPhuncdUx + & |
| 678 |
> |
Phunc * dlm_i(m,l) * dctidux |
| 679 |
> |
dsigmaiduy = dsigmaiduy + plm_i(m,l)* dPhuncdUy + & |
| 680 |
> |
Phunc * dlm_i(m,l) * dctiduy |
| 681 |
> |
dsigmaiduz = dsigmaiduz + plm_i(m,l)* dPhuncdUz + & |
| 682 |
> |
Phunc * dlm_i(m,l) * dctiduz |
| 683 |
|
|
| 684 |
|
end do |
| 685 |
|
|
| 707 |
|
dPhuncdUz = coeff*(spi * dum_i(m-1)*dcpiduz + dspiduz *um_i(m-1)) |
| 708 |
|
endif |
| 709 |
|
|
| 710 |
< |
s_i = s_i + plm_i(l,m)*Phunc |
| 710 |
> |
s_i = s_i + plm_i(m,l)*Phunc |
| 711 |
|
|
| 712 |
< |
dsidx = dsidx + plm_i(l,m)*dPhuncdX + & |
| 713 |
< |
Phunc * dlm_i(l,m) * dctidx |
| 714 |
< |
dsidy = dsidy + plm_i(l,m)*dPhuncdY + & |
| 715 |
< |
Phunc * dlm_i(l,m) * dctidy |
| 716 |
< |
dsidz = dsidz + plm_i(l,m)*dPhuncdZ + & |
| 717 |
< |
Phunc * dlm_i(l,m) * dctidz |
| 712 |
> |
dsidx = dsidx + plm_i(m,l)*dPhuncdX + & |
| 713 |
> |
Phunc * dlm_i(m,l) * dctidx |
| 714 |
> |
dsidy = dsidy + plm_i(m,l)*dPhuncdY + & |
| 715 |
> |
Phunc * dlm_i(m,l) * dctidy |
| 716 |
> |
dsidz = dsidz + plm_i(m,l)*dPhuncdZ + & |
| 717 |
> |
Phunc * dlm_i(m,l) * dctidz |
| 718 |
|
|
| 719 |
< |
dsidux = dsidux + plm_i(l,m)* dPhuncdUx + & |
| 720 |
< |
Phunc * dlm_i(l,m) * dctidux |
| 721 |
< |
dsiduy = dsiduy + plm_i(l,m)* dPhuncdUy + & |
| 722 |
< |
Phunc * dlm_i(l,m) * dctiduy |
| 723 |
< |
dsiduz = dsiduz + plm_i(l,m)* dPhuncdUz + & |
| 724 |
< |
Phunc * dlm_i(l,m) * dctiduz |
| 719 |
> |
dsidux = dsidux + plm_i(m,l)* dPhuncdUx + & |
| 720 |
> |
Phunc * dlm_i(m,l) * dctidux |
| 721 |
> |
dsiduy = dsiduy + plm_i(m,l)* dPhuncdUy + & |
| 722 |
> |
Phunc * dlm_i(m,l) * dctiduy |
| 723 |
> |
dsiduz = dsiduz + plm_i(m,l)* dPhuncdUz + & |
| 724 |
> |
Phunc * dlm_i(m,l) * dctiduz |
| 725 |
|
|
| 726 |
|
end do |
| 727 |
|
|
| 748 |
|
dPhuncdUy = coeff*(spi * dum_i(m-1)*dcpiduy + dspiduy *um_i(m-1)) |
| 749 |
|
dPhuncdUz = coeff*(spi * dum_i(m-1)*dcpiduz + dspiduz *um_i(m-1)) |
| 750 |
|
endif |
| 751 |
< |
!write(*,*) eps_i, plm_i(l,m), Phunc |
| 752 |
< |
eps_i = eps_i + plm_i(l,m)*Phunc |
| 751 |
> |
|
| 752 |
> |
eps_i = eps_i + plm_i(m,l)*Phunc |
| 753 |
|
|
| 754 |
< |
depsidx = depsidx + plm_i(l,m)*dPhuncdX + & |
| 755 |
< |
Phunc * dlm_i(l,m) * dctidx |
| 756 |
< |
depsidy = depsidy + plm_i(l,m)*dPhuncdY + & |
| 757 |
< |
Phunc * dlm_i(l,m) * dctidy |
| 758 |
< |
depsidz = depsidz + plm_i(l,m)*dPhuncdZ + & |
| 759 |
< |
Phunc * dlm_i(l,m) * dctidz |
| 754 |
> |
depsidx = depsidx + plm_i(m,l)*dPhuncdX + & |
| 755 |
> |
Phunc * dlm_i(m,l) * dctidx |
| 756 |
> |
depsidy = depsidy + plm_i(m,l)*dPhuncdY + & |
| 757 |
> |
Phunc * dlm_i(m,l) * dctidy |
| 758 |
> |
depsidz = depsidz + plm_i(m,l)*dPhuncdZ + & |
| 759 |
> |
Phunc * dlm_i(m,l) * dctidz |
| 760 |
|
|
| 761 |
< |
depsidux = depsidux + plm_i(l,m)* dPhuncdUx + & |
| 762 |
< |
Phunc * dlm_i(l,m) * dctidux |
| 763 |
< |
depsiduy = depsiduy + plm_i(l,m)* dPhuncdUy + & |
| 764 |
< |
Phunc * dlm_i(l,m) * dctiduy |
| 765 |
< |
depsiduz = depsiduz + plm_i(l,m)* dPhuncdUz + & |
| 766 |
< |
Phunc * dlm_i(l,m) * dctiduz |
| 761 |
> |
depsidux = depsidux + plm_i(m,l)* dPhuncdUx + & |
| 762 |
> |
Phunc * dlm_i(m,l) * dctidux |
| 763 |
> |
depsiduy = depsiduy + plm_i(m,l)* dPhuncdUy + & |
| 764 |
> |
Phunc * dlm_i(m,l) * dctiduy |
| 765 |
> |
depsiduz = depsiduz + plm_i(m,l)* dPhuncdUz + & |
| 766 |
> |
Phunc * dlm_i(m,l) * dctiduz |
| 767 |
|
|
| 768 |
|
end do |
| 769 |
|
|
| 816 |
|
xj2 = xj*xj |
| 817 |
|
yj2 = yj*yj |
| 818 |
|
zj2 = zj*zj |
| 760 |
– |
|
| 761 |
– |
projj = sqrt(xj2 + yj2) |
| 762 |
– |
projj3 = projj*projj*projj |
| 763 |
– |
|
| 819 |
|
ctj = zj / rij |
| 820 |
+ |
|
| 821 |
+ |
if (ctj .gt. 1.0_dp) ctj = 1.0_dp |
| 822 |
+ |
if (ctj .lt. -1.0_dp) ctj = -1.0_dp |
| 823 |
+ |
|
| 824 |
|
dctjdx = - zj * xj / r3 |
| 825 |
|
dctjdy = - zj * yj / r3 |
| 826 |
|
dctjdz = 1.0d0 / rij - zj2 / r3 |
| 827 |
< |
dctjdux = yj / rij |
| 828 |
< |
dctjduy = -xj / rij |
| 829 |
< |
dctjduz = 0.0d0 |
| 827 |
> |
dctjdux = - (zi * xj2) / r3 |
| 828 |
> |
dctjduy = - (zj * yj2) / r3 |
| 829 |
> |
dctjduz = zj / rij - (zj2 * zj) / r3 |
| 830 |
|
|
| 831 |
< |
cpj = xj / projj |
| 832 |
< |
dcpjdx = 1.0d0 / projj - xj2 / projj3 |
| 833 |
< |
dcpjdy = - xj * yj / projj3 |
| 831 |
> |
! this is an attempt to try to truncate the singularity when |
| 832 |
> |
! sin(theta) is near 0.0: |
| 833 |
> |
|
| 834 |
> |
stj2 = 1.0_dp - ctj*ctj |
| 835 |
> |
if (dabs(stj2) .lt. 1.0d-12) then |
| 836 |
> |
projj = sqrt(rij * 1.0d-12) |
| 837 |
> |
dcpjdx = 1.0d0 / projj |
| 838 |
> |
dcpjdy = 0.0d0 |
| 839 |
> |
dcpjdux = xj / projj |
| 840 |
> |
dcpjduy = 0.0d0 |
| 841 |
> |
dspjdx = 0.0d0 |
| 842 |
> |
dspjdy = 1.0d0 / projj |
| 843 |
> |
dspjdux = 0.0d0 |
| 844 |
> |
dspjduy = yj / projj |
| 845 |
> |
else |
| 846 |
> |
projj = sqrt(xj2 + yj2) |
| 847 |
> |
projj3 = projj*projj*projj |
| 848 |
> |
dcpjdx = 1.0d0 / projj - xj2 / projj3 |
| 849 |
> |
dcpjdy = - xj * yj / projj3 |
| 850 |
> |
dcpjdux = xj / projj - (xj2 * xj) / projj3 |
| 851 |
> |
dcpjduy = - (xj * yj2) / projj3 |
| 852 |
> |
dspjdx = - xj * yj / projj3 |
| 853 |
> |
dspjdy = 1.0d0 / projj - yj2 / projj3 |
| 854 |
> |
dspjdux = - (yj * xj2) / projj3 |
| 855 |
> |
dspjduy = yj / projj - (yj2 * yj) / projj3 |
| 856 |
> |
endif |
| 857 |
> |
|
| 858 |
> |
cpj = xj / projj |
| 859 |
|
dcpjdz = 0.0d0 |
| 860 |
< |
dcpjdux = xj * yj * zj / projj3 |
| 777 |
< |
dcpjduy = -zj * (1.0d0 / projj - xj2 / projj3) |
| 778 |
< |
dcpjduz = -yj * (1.0d0 / projj - xj2 / projj3) - (xj2 * yj / projj3) |
| 860 |
> |
dcpjduz = 0.0d0 |
| 861 |
|
|
| 862 |
|
spj = yj / projj |
| 781 |
– |
dspjdx = - xj * yj / projj3 |
| 782 |
– |
dspjdy = 1.0d0 / projj - yj2 / projj3 |
| 863 |
|
dspjdz = 0.0d0 |
| 864 |
< |
dspjdux = -zj * (1.0d0 / projj - yj2 / projj3) |
| 865 |
< |
dspjduy = xj * yj * zj / projj3 |
| 866 |
< |
dspjduz = xj * (1.0d0 / projj - yi2 / projj3) + (xj * yj2 / projj3) |
| 867 |
< |
|
| 868 |
< |
call Associated_Legendre(ctj, ShapeMap%Shapes(st2)%bigL, & |
| 869 |
< |
ShapeMap%Shapes(st2)%bigM, LMAX, & |
| 864 |
> |
dspjduz = 0.0d0 |
| 865 |
> |
|
| 866 |
> |
|
| 867 |
> |
write(*,*) 'dcpdu = ' ,dcpidux, dcpiduy, dcpiduz |
| 868 |
> |
write(*,*) 'dcpdu = ' ,dcpjdux, dcpjduy, dcpjduz |
| 869 |
> |
call Associated_Legendre(ctj, ShapeMap%Shapes(st2)%bigM, & |
| 870 |
> |
ShapeMap%Shapes(st2)%bigL, LMAX, & |
| 871 |
|
plm_j, dlm_j) |
| 872 |
|
|
| 873 |
|
call Orthogonal_Polynomial(cpj, ShapeMap%Shapes(st2)%bigM, MMAX, & |
| 921 |
|
dPhuncdUz = coeff*(spj * dum_j(m-1)*dcpjduz + dspjduz *um_j(m-1)) |
| 922 |
|
endif |
| 923 |
|
|
| 924 |
< |
sigma_j = sigma_j + plm_j(l,m)*Phunc |
| 924 |
> |
sigma_j = sigma_j + plm_j(m,l)*Phunc |
| 925 |
|
|
| 926 |
< |
dsigmajdx = dsigmajdx + plm_j(l,m)*dPhuncdX + & |
| 927 |
< |
Phunc * dlm_j(l,m) * dctjdx |
| 928 |
< |
dsigmajdy = dsigmajdy + plm_j(l,m)*dPhuncdY + & |
| 929 |
< |
Phunc * dlm_j(l,m) * dctjdy |
| 930 |
< |
dsigmajdz = dsigmajdz + plm_j(l,m)*dPhuncdZ + & |
| 931 |
< |
Phunc * dlm_j(l,m) * dctjdz |
| 926 |
> |
dsigmajdx = dsigmajdx + plm_j(m,l)*dPhuncdX + & |
| 927 |
> |
Phunc * dlm_j(m,l) * dctjdx |
| 928 |
> |
dsigmajdy = dsigmajdy + plm_j(m,l)*dPhuncdY + & |
| 929 |
> |
Phunc * dlm_j(m,l) * dctjdy |
| 930 |
> |
dsigmajdz = dsigmajdz + plm_j(m,l)*dPhuncdZ + & |
| 931 |
> |
Phunc * dlm_j(m,l) * dctjdz |
| 932 |
|
|
| 933 |
< |
dsigmajdux = dsigmajdux + plm_j(l,m)* dPhuncdUx + & |
| 934 |
< |
Phunc * dlm_j(l,m) * dctjdux |
| 935 |
< |
dsigmajduy = dsigmajduy + plm_j(l,m)* dPhuncdUy + & |
| 936 |
< |
Phunc * dlm_j(l,m) * dctjduy |
| 937 |
< |
dsigmajduz = dsigmajduz + plm_j(l,m)* dPhuncdUz + & |
| 938 |
< |
Phunc * dlm_j(l,m) * dctjduz |
| 933 |
> |
dsigmajdux = dsigmajdux + plm_j(m,l)* dPhuncdUx + & |
| 934 |
> |
Phunc * dlm_j(m,l) * dctjdux |
| 935 |
> |
dsigmajduy = dsigmajduy + plm_j(m,l)* dPhuncdUy + & |
| 936 |
> |
Phunc * dlm_j(m,l) * dctjduy |
| 937 |
> |
dsigmajduz = dsigmajduz + plm_j(m,l)* dPhuncdUz + & |
| 938 |
> |
Phunc * dlm_j(m,l) * dctjduz |
| 939 |
|
|
| 940 |
|
end do |
| 941 |
|
|
| 963 |
|
dPhuncdUz = coeff*(spj * dum_j(m-1)*dcpjduz + dspjduz *um_j(m-1)) |
| 964 |
|
endif |
| 965 |
|
|
| 966 |
< |
s_j = s_j + plm_j(l,m)*Phunc |
| 966 |
> |
s_j = s_j + plm_j(m,l)*Phunc |
| 967 |
|
|
| 968 |
< |
dsjdx = dsjdx + plm_j(l,m)*dPhuncdX + & |
| 969 |
< |
Phunc * dlm_j(l,m) * dctjdx |
| 970 |
< |
dsjdy = dsjdy + plm_j(l,m)*dPhuncdY + & |
| 971 |
< |
Phunc * dlm_j(l,m) * dctjdy |
| 972 |
< |
dsjdz = dsjdz + plm_j(l,m)*dPhuncdZ + & |
| 973 |
< |
Phunc * dlm_j(l,m) * dctjdz |
| 968 |
> |
dsjdx = dsjdx + plm_j(m,l)*dPhuncdX + & |
| 969 |
> |
Phunc * dlm_j(m,l) * dctjdx |
| 970 |
> |
dsjdy = dsjdy + plm_j(m,l)*dPhuncdY + & |
| 971 |
> |
Phunc * dlm_j(m,l) * dctjdy |
| 972 |
> |
dsjdz = dsjdz + plm_j(m,l)*dPhuncdZ + & |
| 973 |
> |
Phunc * dlm_j(m,l) * dctjdz |
| 974 |
|
|
| 975 |
< |
dsjdux = dsjdux + plm_j(l,m)* dPhuncdUx + & |
| 976 |
< |
Phunc * dlm_j(l,m) * dctjdux |
| 977 |
< |
dsjduy = dsjduy + plm_j(l,m)* dPhuncdUy + & |
| 978 |
< |
Phunc * dlm_j(l,m) * dctjduy |
| 979 |
< |
dsjduz = dsjduz + plm_j(l,m)* dPhuncdUz + & |
| 980 |
< |
Phunc * dlm_j(l,m) * dctjduz |
| 975 |
> |
dsjdux = dsjdux + plm_j(m,l)* dPhuncdUx + & |
| 976 |
> |
Phunc * dlm_j(m,l) * dctjdux |
| 977 |
> |
dsjduy = dsjduy + plm_j(m,l)* dPhuncdUy + & |
| 978 |
> |
Phunc * dlm_j(m,l) * dctjduy |
| 979 |
> |
dsjduz = dsjduz + plm_j(m,l)* dPhuncdUz + & |
| 980 |
> |
Phunc * dlm_j(m,l) * dctjduz |
| 981 |
|
|
| 982 |
|
end do |
| 983 |
|
|
| 1005 |
|
dPhuncdUz = coeff*(spj * dum_j(m-1)*dcpjduz + dspjduz *um_j(m-1)) |
| 1006 |
|
endif |
| 1007 |
|
|
| 1008 |
< |
eps_j = eps_j + plm_j(l,m)*Phunc |
| 1008 |
> |
write(*,*) 'l,m = ', l, m, coeff, dPhuncdUx, dPhuncdUy, dPhuncdUz |
| 1009 |
> |
|
| 1010 |
> |
eps_j = eps_j + plm_j(m,l)*Phunc |
| 1011 |
|
|
| 1012 |
< |
depsjdx = depsjdx + plm_j(l,m)*dPhuncdX + & |
| 1013 |
< |
Phunc * dlm_j(l,m) * dctjdx |
| 1014 |
< |
depsjdy = depsjdy + plm_j(l,m)*dPhuncdY + & |
| 1015 |
< |
Phunc * dlm_j(l,m) * dctjdy |
| 1016 |
< |
depsjdz = depsjdz + plm_j(l,m)*dPhuncdZ + & |
| 1017 |
< |
Phunc * dlm_j(l,m) * dctjdz |
| 1012 |
> |
depsjdx = depsjdx + plm_j(m,l)*dPhuncdX + & |
| 1013 |
> |
Phunc * dlm_j(m,l) * dctjdx |
| 1014 |
> |
depsjdy = depsjdy + plm_j(m,l)*dPhuncdY + & |
| 1015 |
> |
Phunc * dlm_j(m,l) * dctjdy |
| 1016 |
> |
depsjdz = depsjdz + plm_j(m,l)*dPhuncdZ + & |
| 1017 |
> |
Phunc * dlm_j(m,l) * dctjdz |
| 1018 |
|
|
| 1019 |
< |
depsjdux = depsjdux + plm_j(l,m)* dPhuncdUx + & |
| 1020 |
< |
Phunc * dlm_j(l,m) * dctjdux |
| 1021 |
< |
depsjduy = depsjduy + plm_j(l,m)* dPhuncdUy + & |
| 1022 |
< |
Phunc * dlm_j(l,m) * dctjduy |
| 1023 |
< |
depsjduz = depsjduz + plm_j(l,m)* dPhuncdUz + & |
| 1024 |
< |
Phunc * dlm_j(l,m) * dctjduz |
| 1019 |
> |
depsjdux = depsjdux + plm_j(m,l)* dPhuncdUx + & |
| 1020 |
> |
Phunc * dlm_j(m,l) * dctjdux |
| 1021 |
> |
depsjduy = depsjduy + plm_j(m,l)* dPhuncdUy + & |
| 1022 |
> |
Phunc * dlm_j(m,l) * dctjduy |
| 1023 |
> |
depsjduz = depsjduz + plm_j(m,l)* dPhuncdUz + & |
| 1024 |
> |
Phunc * dlm_j(m,l) * dctjduz |
| 1025 |
|
|
| 1026 |
|
end do |
| 1027 |
|
|
| 1060 |
|
dsduxj = 0.5*dsjdux |
| 1061 |
|
dsduyj = 0.5*dsjduy |
| 1062 |
|
dsduzj = 0.5*dsjduz |
| 1063 |
< |
!write(*,*) eps_i, eps_j |
| 1063 |
> |
|
| 1064 |
|
eps = sqrt(eps_i * eps_j) |
| 1065 |
|
|
| 1066 |
|
depsdxi = eps_j * depsidx / (2.0d0 * eps) |
| 1077 |
|
depsduyj = eps_i * depsjduy / (2.0d0 * eps) |
| 1078 |
|
depsduzj = eps_i * depsjduz / (2.0d0 * eps) |
| 1079 |
|
|
| 1080 |
+ |
!!$ write(*,*) 'depsidu = ', depsidux, depsiduy, depsiduz |
| 1081 |
+ |
!!$ write(*,*) 'depsjdu = ', depsjdux, depsjduy, depsjduz |
| 1082 |
+ |
!!$ |
| 1083 |
+ |
!!$ write(*,*) 'depsdui = ', depsduxi, depsduyi, depsduzi |
| 1084 |
+ |
!!$ write(*,*) 'depsduj = ', depsduxj, depsduyj, depsduzj |
| 1085 |
+ |
!!$ |
| 1086 |
+ |
!!$ write(*,*) 's, sig, eps = ', s, sigma, eps |
| 1087 |
+ |
|
| 1088 |
|
rtdenom = rij-sigma+s |
| 1089 |
|
rt = s / rtdenom |
| 1090 |
|
|
| 1109 |
|
rt12 = rt6*rt6 |
| 1110 |
|
rt126 = rt12 - rt6 |
| 1111 |
|
|
| 1112 |
+ |
pot_temp = 4.0d0 * eps * rt126 |
| 1113 |
+ |
|
| 1114 |
+ |
vpair = vpair + pot_temp |
| 1115 |
|
if (do_pot) then |
| 1116 |
|
#ifdef IS_MPI |
| 1117 |
< |
pot_row(atom1) = pot_row(atom1) + 2.0d0*eps*rt126*sw |
| 1118 |
< |
pot_col(atom2) = pot_col(atom2) + 2.0d0*eps*rt126*sw |
| 1117 |
> |
pot_row(atom1) = pot_row(atom1) + 0.5d0*pot_temp*sw |
| 1118 |
> |
pot_col(atom2) = pot_col(atom2) + 0.5d0*pot_temp*sw |
| 1119 |
|
#else |
| 1120 |
< |
pot = pot + 4.0d0*eps*rt126*sw |
| 1120 |
> |
pot = pot + pot_temp*sw |
| 1121 |
|
#endif |
| 1122 |
|
endif |
| 1123 |
+ |
|
| 1124 |
+ |
!!$ write(*,*) 'drtdu, depsdu = ', drtduxi, depsduxi |
| 1125 |
|
|
| 1126 |
|
dvdxi = 24.0d0*eps*(2.0d0*rt11 - rt5)*drtdxi + 4.0d0*depsdxi*rt126 |
| 1127 |
|
dvdyi = 24.0d0*eps*(2.0d0*rt11 - rt5)*drtdyi + 4.0d0*depsdyi*rt126 |
| 1140 |
|
! do the torques first since they are easy: |
| 1141 |
|
! remember that these are still in the body fixed axes |
| 1142 |
|
|
| 1047 |
– |
txi = dvduxi * sw |
| 1048 |
– |
tyi = dvduyi * sw |
| 1049 |
– |
tzi = dvduzi * sw |
| 1143 |
|
|
| 1144 |
< |
txj = dvduxj * sw |
| 1145 |
< |
tyj = dvduyj * sw |
| 1146 |
< |
tzj = dvduzj * sw |
| 1144 |
> |
!!$ write(*,*) 'sw = ', sw |
| 1145 |
> |
!!$ write(*,*) 'dvdu1 = ', dvduxi, dvduyi, dvduzi |
| 1146 |
> |
!!$ write(*,*) 'dvdu2 = ', dvduxj, dvduyj, dvduzj |
| 1147 |
> |
!!$ |
| 1148 |
> |
txi = (dvduzi - dvduyi) * sw |
| 1149 |
> |
tyi = (dvduxi - dvduzi) * sw |
| 1150 |
> |
tzi = (dvduyi - dvduxi) * sw |
| 1151 |
|
|
| 1152 |
+ |
txj = (dvduzj - dvduyj) * sw |
| 1153 |
+ |
tyj = (dvduxj - dvduzj) * sw |
| 1154 |
+ |
tzj = (dvduyj - dvduxj) * sw |
| 1155 |
+ |
|
| 1156 |
+ |
!!$ txi = -dvduxi * sw |
| 1157 |
+ |
!!$ tyi = -dvduyi * sw |
| 1158 |
+ |
!!$ tzi = -dvduzi * sw |
| 1159 |
+ |
!!$ |
| 1160 |
+ |
!!$ txj = dvduxj * sw |
| 1161 |
+ |
!!$ tyj = dvduyj * sw |
| 1162 |
+ |
!!$ tzj = dvduzj * sw |
| 1163 |
+ |
|
| 1164 |
+ |
write(*,*) 't1 = ', txi, tyi, tzi |
| 1165 |
+ |
write(*,*) 't2 = ', txj, tyj, tzj |
| 1166 |
+ |
|
| 1167 |
|
! go back to lab frame using transpose of rotation matrix: |
| 1168 |
|
|
| 1169 |
|
#ifdef IS_MPI |
| 1227 |
|
fyji = -fyjj |
| 1228 |
|
fzji = -fzjj |
| 1229 |
|
|
| 1230 |
< |
fxradial = fxii + fxji |
| 1231 |
< |
fyradial = fyii + fyji |
| 1232 |
< |
fzradial = fzii + fzji |
| 1230 |
> |
fxradial = 0.5_dp * (fxii + fxji) |
| 1231 |
> |
fyradial = 0.5_dp * (fyii + fyji) |
| 1232 |
> |
fzradial = 0.5_dp * (fzii + fzji) |
| 1233 |
|
|
| 1234 |
|
#ifdef IS_MPI |
| 1235 |
|
f_Row(1,atom1) = f_Row(1,atom1) + fxradial |
| 1264 |
|
fpair(3) = fpair(3) + fzradial |
| 1265 |
|
|
| 1266 |
|
endif |
| 1267 |
< |
|
| 1267 |
> |
|
| 1268 |
|
end subroutine do_shape_pair |
| 1269 |
|
|
| 1270 |
|
SUBROUTINE Associated_Legendre(x, l, m, lmax, plm, dlm) |
| 1423 |
|
DY0 = DY1 |
| 1424 |
|
DY1 = DYN |
| 1425 |
|
end DO |
| 1426 |
+ |
|
| 1427 |
+ |
|
| 1428 |
|
RETURN |
| 1429 |
|
|
| 1430 |
|
end subroutine Orthogonal_Polynomial |
| 1431 |
|
|
| 1432 |
|
end module shapes |
| 1319 |
– |
|
| 1320 |
– |
subroutine makeShape(nContactFuncs, ContactFuncLValue, & |
| 1321 |
– |
ContactFuncMValue, ContactFunctionType, ContactFuncCoefficient, & |
| 1322 |
– |
nRangeFuncs, RangeFuncLValue, RangeFuncMValue, RangeFunctionType, & |
| 1323 |
– |
RangeFuncCoefficient, nStrengthFuncs, StrengthFuncLValue, & |
| 1324 |
– |
StrengthFuncMValue, StrengthFunctionType, StrengthFuncCoefficient, & |
| 1325 |
– |
myATID, status) |
| 1326 |
– |
|
| 1327 |
– |
use definitions |
| 1328 |
– |
use shapes, only: newShapeType |
| 1329 |
– |
|
| 1330 |
– |
integer :: nContactFuncs |
| 1331 |
– |
integer :: nRangeFuncs |
| 1332 |
– |
integer :: nStrengthFuncs |
| 1333 |
– |
integer :: status |
| 1334 |
– |
integer :: myATID |
| 1335 |
– |
|
| 1336 |
– |
integer, dimension(nContactFuncs) :: ContactFuncLValue |
| 1337 |
– |
integer, dimension(nContactFuncs) :: ContactFuncMValue |
| 1338 |
– |
integer, dimension(nContactFuncs) :: ContactFunctionType |
| 1339 |
– |
real(kind=dp), dimension(nContactFuncs) :: ContactFuncCoefficient |
| 1340 |
– |
integer, dimension(nRangeFuncs) :: RangeFuncLValue |
| 1341 |
– |
integer, dimension(nRangeFuncs) :: RangeFuncMValue |
| 1342 |
– |
integer, dimension(nRangeFuncs) :: RangeFunctionType |
| 1343 |
– |
real(kind=dp), dimension(nRangeFuncs) :: RangeFuncCoefficient |
| 1344 |
– |
integer, dimension(nStrengthFuncs) :: StrengthFuncLValue |
| 1345 |
– |
integer, dimension(nStrengthFuncs) :: StrengthFuncMValue |
| 1346 |
– |
integer, dimension(nStrengthFuncs) :: StrengthFunctionType |
| 1347 |
– |
real(kind=dp), dimension(nStrengthFuncs) :: StrengthFuncCoefficient |
| 1348 |
– |
|
| 1349 |
– |
call newShapeType(nContactFuncs, ContactFuncLValue, & |
| 1350 |
– |
ContactFuncMValue, ContactFunctionType, ContactFuncCoefficient, & |
| 1351 |
– |
nRangeFuncs, RangeFuncLValue, RangeFuncMValue, RangeFunctionType, & |
| 1352 |
– |
RangeFuncCoefficient, nStrengthFuncs, StrengthFuncLValue, & |
| 1353 |
– |
StrengthFuncMValue, StrengthFunctionType, StrengthFuncCoefficient, & |
| 1354 |
– |
myATID, status) |
| 1355 |
– |
|
| 1356 |
– |
return |
| 1357 |
– |
end subroutine makeShape |
| 1358 |
– |
|
| 1359 |
– |
subroutine completeShapeFF(status) |
| 1360 |
– |
|
| 1361 |
– |
use shapes, only: complete_Shape_FF |
| 1362 |
– |
|
| 1363 |
– |
integer, intent(out) :: status |
| 1364 |
– |
integer :: myStatus |
| 1365 |
– |
|
| 1366 |
– |
myStatus = 0 |
| 1367 |
– |
|
| 1368 |
– |
call complete_Shape_FF(myStatus) |
| 1369 |
– |
|
| 1370 |
– |
status = myStatus |
| 1371 |
– |
|
| 1372 |
– |
return |
| 1373 |
– |
end subroutine completeShapeFF |
| 1374 |
– |
|
