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gezelter |
1930 |
!! |
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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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gezelter |
1608 |
module shapes |
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use force_globals |
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use definitions |
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use atype_module |
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use vector_class |
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use simulation |
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use status |
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gezelter |
1633 |
use lj |
| 52 |
gezelter |
1608 |
#ifdef IS_MPI |
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use mpiSimulation |
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#endif |
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implicit none |
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PRIVATE |
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chuckv |
2355 |
#define __FORTRAN90 |
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#include "UseTheForce/DarkSide/fInteractionMap.h" |
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gezelter |
1608 |
INTEGER, PARAMETER:: CHEBYSHEV_TN = 1 |
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INTEGER, PARAMETER:: CHEBYSHEV_UN = 2 |
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INTEGER, PARAMETER:: LAGUERRE = 3 |
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INTEGER, PARAMETER:: HERMITE = 4 |
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INTEGER, PARAMETER:: SH_COS = 0 |
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INTEGER, PARAMETER:: SH_SIN = 1 |
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logical, save :: haveShapeMap = .false. |
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public :: do_shape_pair |
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public :: newShapeType |
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chrisfen |
1647 |
public :: complete_Shape_FF |
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chuckv |
2188 |
public :: destroyShapeTypes |
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chrisfen |
2277 |
public :: getShapeCut |
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gezelter |
1608 |
|
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type, private :: Shape |
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integer :: atid |
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integer :: nContactFuncs |
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integer :: nRangeFuncs |
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integer :: nStrengthFuncs |
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integer :: bigL |
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integer :: bigM |
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integer, pointer, dimension(:) :: ContactFuncLValue => null() |
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integer, pointer, dimension(:) :: ContactFuncMValue => null() |
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integer, pointer, dimension(:) :: ContactFunctionType => null() |
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real(kind=dp), pointer, dimension(:) :: ContactFuncCoefficient => null() |
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integer, pointer, dimension(:) :: RangeFuncLValue => null() |
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integer, pointer, dimension(:) :: RangeFuncMValue => null() |
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integer, pointer, dimension(:) :: RangeFunctionType => null() |
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real(kind=dp), pointer, dimension(:) :: RangeFuncCoefficient => null() |
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integer, pointer, dimension(:) :: StrengthFuncLValue => null() |
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integer, pointer, dimension(:) :: StrengthFuncMValue => null() |
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integer, pointer, dimension(:) :: StrengthFunctionType => null() |
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real(kind=dp), pointer, dimension(:) :: StrengthFuncCoefficient => null() |
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logical :: isLJ |
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real ( kind = dp ) :: epsilon |
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real ( kind = dp ) :: sigma |
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end type Shape |
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gezelter |
2204 |
|
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gezelter |
1608 |
type, private :: ShapeList |
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integer :: n_shapes = 0 |
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integer :: currentShape = 0 |
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chrisfen |
2214 |
type(Shape), pointer :: Shapes(:) => null() |
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integer, pointer :: atidToShape(:) => null() |
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gezelter |
1608 |
end type ShapeList |
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chrisfen |
2214 |
|
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gezelter |
1608 |
type(ShapeList), save :: ShapeMap |
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chrisfen |
2214 |
|
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gezelter |
1608 |
integer :: lmax |
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chrisfen |
2214 |
|
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gezelter |
1608 |
contains |
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chrisfen |
2214 |
|
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gezelter |
1608 |
subroutine newShapeType(nContactFuncs, ContactFuncLValue, & |
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ContactFuncMValue, ContactFunctionType, ContactFuncCoefficient, & |
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nRangeFuncs, RangeFuncLValue, RangeFuncMValue, RangeFunctionType, & |
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RangeFuncCoefficient, nStrengthFuncs, StrengthFuncLValue, & |
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StrengthFuncMValue, StrengthFunctionType, StrengthFuncCoefficient, & |
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chrisfen |
2211 |
c_ident, status) |
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chrisfen |
2214 |
|
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gezelter |
1608 |
integer :: nContactFuncs |
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integer :: nRangeFuncs |
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integer :: nStrengthFuncs |
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integer :: shape_ident |
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integer :: status |
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chrisfen |
2211 |
integer :: c_ident |
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chrisfen |
1689 |
integer :: myATID |
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gezelter |
1608 |
integer :: bigL |
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integer :: bigM |
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integer :: j, me, nShapeTypes, nLJTypes, ntypes, current, alloc_stat |
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integer, pointer :: MatchList(:) => null() |
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integer, dimension(nContactFuncs) :: ContactFuncLValue |
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integer, dimension(nContactFuncs) :: ContactFuncMValue |
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integer, dimension(nContactFuncs) :: ContactFunctionType |
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real(kind=dp), dimension(nContactFuncs) :: ContactFuncCoefficient |
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integer, dimension(nRangeFuncs) :: RangeFuncLValue |
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integer, dimension(nRangeFuncs) :: RangeFuncMValue |
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integer, dimension(nRangeFuncs) :: RangeFunctionType |
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real(kind=dp), dimension(nRangeFuncs) :: RangeFuncCoefficient |
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integer, dimension(nStrengthFuncs) :: StrengthFuncLValue |
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integer, dimension(nStrengthFuncs) :: StrengthFuncMValue |
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integer, dimension(nStrengthFuncs) :: StrengthFunctionType |
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real(kind=dp), dimension(nStrengthFuncs) :: StrengthFuncCoefficient |
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status = 0 |
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! check to see if this is the first time into this routine... |
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if (.not.associated(ShapeMap%Shapes)) then |
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call getMatchingElementList(atypes, "is_Shape", .true., & |
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nShapeTypes, MatchList) |
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gezelter |
2204 |
|
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gezelter |
1633 |
call getMatchingElementList(atypes, "is_LennardJones", .true., & |
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gezelter |
1608 |
nLJTypes, MatchList) |
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gezelter |
2204 |
|
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gezelter |
1608 |
ShapeMap%n_shapes = nShapeTypes + nLJTypes |
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gezelter |
2204 |
|
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gezelter |
1608 |
allocate(ShapeMap%Shapes(nShapeTypes + nLJTypes)) |
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gezelter |
2204 |
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gezelter |
1608 |
ntypes = getSize(atypes) |
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chrisfen |
2214 |
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chrisfen |
2211 |
allocate(ShapeMap%atidToShape(ntypes)) |
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gezelter |
1608 |
end if |
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gezelter |
2204 |
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gezelter |
1608 |
ShapeMap%currentShape = ShapeMap%currentShape + 1 |
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current = ShapeMap%currentShape |
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call allocateShape(nContactFuncs, nRangeFuncs, nStrengthFuncs, & |
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ShapeMap%Shapes(current), stat=alloc_stat) |
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if (alloc_stat .ne. 0) then |
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status = -1 |
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return |
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endif |
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chrisfen |
2214 |
myATID = getFirstMatchingElement(atypes, "c_ident", c_ident) |
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chrisfen |
2211 |
ShapeMap%atidToShape(myATID) = current |
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ShapeMap%Shapes(current)%atid = myATID |
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gezelter |
1608 |
ShapeMap%Shapes(current)%nContactFuncs = nContactFuncs |
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ShapeMap%Shapes(current)%nRangeFuncs = nRangeFuncs |
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ShapeMap%Shapes(current)%nStrengthFuncs = nStrengthFuncs |
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ShapeMap%Shapes(current)%ContactFuncLValue = ContactFuncLValue |
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ShapeMap%Shapes(current)%ContactFuncMValue = ContactFuncMValue |
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ShapeMap%Shapes(current)%ContactFunctionType = ContactFunctionType |
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ShapeMap%Shapes(current)%ContactFuncCoefficient = ContactFuncCoefficient |
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ShapeMap%Shapes(current)%RangeFuncLValue = RangeFuncLValue |
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ShapeMap%Shapes(current)%RangeFuncMValue = RangeFuncMValue |
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ShapeMap%Shapes(current)%RangeFunctionType = RangeFunctionType |
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ShapeMap%Shapes(current)%RangeFuncCoefficient = RangeFuncCoefficient |
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ShapeMap%Shapes(current)%StrengthFuncLValue = StrengthFuncLValue |
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ShapeMap%Shapes(current)%StrengthFuncMValue = StrengthFuncMValue |
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ShapeMap%Shapes(current)%StrengthFunctionType = StrengthFunctionType |
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ShapeMap%Shapes(current)%StrengthFuncCoefficient = StrengthFuncCoefficient |
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bigL = -1 |
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bigM = -1 |
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gezelter |
2204 |
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gezelter |
1608 |
do j = 1, ShapeMap%Shapes(current)%nContactFuncs |
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if (ShapeMap%Shapes(current)%ContactFuncLValue(j) .gt. bigL) then |
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bigL = ShapeMap%Shapes(current)%ContactFuncLValue(j) |
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endif |
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if (ShapeMap%Shapes(current)%ContactFuncMValue(j) .gt. bigM) then |
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bigM = ShapeMap%Shapes(current)%ContactFuncMValue(j) |
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endif |
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enddo |
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do j = 1, ShapeMap%Shapes(current)%nRangeFuncs |
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if (ShapeMap%Shapes(current)%RangeFuncLValue(j) .gt. bigL) then |
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bigL = ShapeMap%Shapes(current)%RangeFuncLValue(j) |
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endif |
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if (ShapeMap%Shapes(current)%RangeFuncMValue(j) .gt. bigM) then |
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bigM = ShapeMap%Shapes(current)%RangeFuncMValue(j) |
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endif |
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enddo |
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do j = 1, ShapeMap%Shapes(current)%nStrengthFuncs |
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if (ShapeMap%Shapes(current)%StrengthFuncLValue(j) .gt. bigL) then |
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bigL = ShapeMap%Shapes(current)%StrengthFuncLValue(j) |
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endif |
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if (ShapeMap%Shapes(current)%StrengthFuncMValue(j) .gt. bigM) then |
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bigM = ShapeMap%Shapes(current)%StrengthFuncMValue(j) |
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endif |
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enddo |
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ShapeMap%Shapes(current)%bigL = bigL |
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ShapeMap%Shapes(current)%bigM = bigM |
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end subroutine newShapeType |
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subroutine allocateShape(nContactFuncs, nRangeFuncs, nStrengthFuncs, & |
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myShape, stat) |
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integer, intent(in) :: nContactFuncs, nRangeFuncs, nStrengthFuncs |
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type(Shape), intent(inout) :: myShape |
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integer, intent(out) :: stat |
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integer :: alloc_stat |
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gezelter |
2204 |
|
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chrisfen |
1689 |
stat = 0 |
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gezelter |
1608 |
if (associated(myShape%contactFuncLValue)) then |
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deallocate(myShape%contactFuncLValue) |
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endif |
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allocate(myShape%contactFuncLValue(nContactFuncs), stat = alloc_stat) |
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if (alloc_stat .ne. 0) then |
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stat = -1 |
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return |
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endif |
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if (associated(myShape%contactFuncMValue)) then |
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deallocate(myShape%contactFuncMValue) |
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endif |
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allocate(myShape%contactFuncMValue(nContactFuncs), stat = alloc_stat) |
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if (alloc_stat .ne. 0) then |
| 248 |
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stat = -1 |
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return |
| 250 |
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endif |
| 251 |
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if (associated(myShape%contactFunctionType)) then |
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deallocate(myShape%contactFunctionType) |
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endif |
| 254 |
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allocate(myShape%contactFunctionType(nContactFuncs), stat = alloc_stat) |
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if (alloc_stat .ne. 0) then |
| 256 |
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stat = -1 |
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return |
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endif |
| 259 |
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if (associated(myShape%contactFuncCoefficient)) then |
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deallocate(myShape%contactFuncCoefficient) |
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endif |
| 262 |
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allocate(myShape%contactFuncCoefficient(nContactFuncs), stat = alloc_stat) |
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if (alloc_stat .ne. 0) then |
| 264 |
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stat = -1 |
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return |
| 266 |
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endif |
| 267 |
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| 268 |
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if (associated(myShape%rangeFuncLValue)) then |
| 269 |
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deallocate(myShape%rangeFuncLValue) |
| 270 |
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endif |
| 271 |
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allocate(myShape%rangeFuncLValue(nRangeFuncs), stat = alloc_stat) |
| 272 |
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if (alloc_stat .ne. 0) then |
| 273 |
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stat = -1 |
| 274 |
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return |
| 275 |
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endif |
| 276 |
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if (associated(myShape%rangeFuncMValue)) then |
| 277 |
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deallocate(myShape%rangeFuncMValue) |
| 278 |
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endif |
| 279 |
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allocate(myShape%rangeFuncMValue(nRangeFuncs), stat = alloc_stat) |
| 280 |
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if (alloc_stat .ne. 0) then |
| 281 |
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stat = -1 |
| 282 |
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return |
| 283 |
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endif |
| 284 |
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if (associated(myShape%rangeFunctionType)) then |
| 285 |
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deallocate(myShape%rangeFunctionType) |
| 286 |
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endif |
| 287 |
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allocate(myShape%rangeFunctionType(nRangeFuncs), stat = alloc_stat) |
| 288 |
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if (alloc_stat .ne. 0) then |
| 289 |
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stat = -1 |
| 290 |
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return |
| 291 |
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endif |
| 292 |
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if (associated(myShape%rangeFuncCoefficient)) then |
| 293 |
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deallocate(myShape%rangeFuncCoefficient) |
| 294 |
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endif |
| 295 |
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allocate(myShape%rangeFuncCoefficient(nRangeFuncs), stat = alloc_stat) |
| 296 |
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if (alloc_stat .ne. 0) then |
| 297 |
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stat = -1 |
| 298 |
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return |
| 299 |
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endif |
| 300 |
chrisfen |
1689 |
|
| 301 |
gezelter |
1608 |
if (associated(myShape%strengthFuncLValue)) then |
| 302 |
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deallocate(myShape%strengthFuncLValue) |
| 303 |
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endif |
| 304 |
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allocate(myShape%strengthFuncLValue(nStrengthFuncs), stat = alloc_stat) |
| 305 |
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if (alloc_stat .ne. 0) then |
| 306 |
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stat = -1 |
| 307 |
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return |
| 308 |
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endif |
| 309 |
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if (associated(myShape%strengthFuncMValue)) then |
| 310 |
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deallocate(myShape%strengthFuncMValue) |
| 311 |
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endif |
| 312 |
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allocate(myShape%strengthFuncMValue(nStrengthFuncs), stat = alloc_stat) |
| 313 |
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if (alloc_stat .ne. 0) then |
| 314 |
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stat = -1 |
| 315 |
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return |
| 316 |
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endif |
| 317 |
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if (associated(myShape%strengthFunctionType)) then |
| 318 |
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deallocate(myShape%strengthFunctionType) |
| 319 |
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endif |
| 320 |
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allocate(myShape%strengthFunctionType(nStrengthFuncs), stat = alloc_stat) |
| 321 |
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if (alloc_stat .ne. 0) then |
| 322 |
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stat = -1 |
| 323 |
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return |
| 324 |
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endif |
| 325 |
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if (associated(myShape%strengthFuncCoefficient)) then |
| 326 |
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deallocate(myShape%strengthFuncCoefficient) |
| 327 |
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endif |
| 328 |
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allocate(myShape%strengthFuncCoefficient(nStrengthFuncs), stat=alloc_stat) |
| 329 |
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if (alloc_stat .ne. 0) then |
| 330 |
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stat = -1 |
| 331 |
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return |
| 332 |
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endif |
| 333 |
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| 334 |
chrisfen |
1689 |
return |
| 335 |
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| 336 |
gezelter |
1608 |
end subroutine allocateShape |
| 337 |
gezelter |
2204 |
|
| 338 |
chrisfen |
1647 |
subroutine complete_Shape_FF(status) |
| 339 |
gezelter |
1608 |
integer :: status |
| 340 |
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integer :: i, j, l, m, lm, function_type |
| 341 |
chrisfen |
1647 |
real(kind=dp) :: thisDP, sigma |
| 342 |
chrisfen |
2211 |
integer :: alloc_stat, iTheta, iPhi, nSteps, nAtypes, myATID, current |
| 343 |
gezelter |
1608 |
logical :: thisProperty |
| 344 |
|
|
|
| 345 |
|
|
status = 0 |
| 346 |
|
|
if (ShapeMap%currentShape == 0) then |
| 347 |
|
|
call handleError("init_Shape_FF", "No members in ShapeMap") |
| 348 |
|
|
status = -1 |
| 349 |
|
|
return |
| 350 |
|
|
end if |
| 351 |
gezelter |
2204 |
|
| 352 |
gezelter |
1608 |
nAtypes = getSize(atypes) |
| 353 |
|
|
|
| 354 |
|
|
if (nAtypes == 0) then |
| 355 |
|
|
status = -1 |
| 356 |
|
|
return |
| 357 |
chrisfen |
2211 |
end if |
| 358 |
gezelter |
1608 |
|
| 359 |
chrisfen |
1689 |
! atypes comes from c side |
| 360 |
chrisfen |
2211 |
do i = 1, nAtypes |
| 361 |
|
|
|
| 362 |
|
|
myATID = getFirstMatchingElement(atypes, 'c_ident', i) |
| 363 |
|
|
call getElementProperty(atypes, myATID, "is_LennardJones", thisProperty) |
| 364 |
chrisfen |
2214 |
|
| 365 |
gezelter |
1608 |
if (thisProperty) then |
| 366 |
|
|
ShapeMap%currentShape = ShapeMap%currentShape + 1 |
| 367 |
|
|
current = ShapeMap%currentShape |
| 368 |
|
|
|
| 369 |
chrisfen |
2211 |
ShapeMap%atidToShape(myATID) = current |
| 370 |
|
|
ShapeMap%Shapes(current)%atid = myATID |
| 371 |
gezelter |
1608 |
|
| 372 |
|
|
ShapeMap%Shapes(current)%isLJ = .true. |
| 373 |
|
|
|
| 374 |
chrisfen |
2211 |
ShapeMap%Shapes(current)%epsilon = getEpsilon(myATID) |
| 375 |
|
|
ShapeMap%Shapes(current)%sigma = getSigma(myATID) |
| 376 |
gezelter |
2204 |
|
| 377 |
gezelter |
1608 |
endif |
| 378 |
gezelter |
2204 |
|
| 379 |
gezelter |
1608 |
end do |
| 380 |
|
|
|
| 381 |
|
|
haveShapeMap = .true. |
| 382 |
gezelter |
2204 |
|
| 383 |
chrisfen |
2211 |
! do i = 1, ShapeMap%n_shapes |
| 384 |
|
|
! write(*,*) 'i = ', i, ' isLJ = ', ShapeMap%Shapes(i)%isLJ |
| 385 |
|
|
! end do |
| 386 |
|
|
|
| 387 |
chrisfen |
1647 |
end subroutine complete_Shape_FF |
| 388 |
gezelter |
2204 |
|
| 389 |
chrisfen |
2277 |
function getShapeCut(atomID) result(cutValue) |
| 390 |
|
|
integer, intent(in) :: atomID |
| 391 |
|
|
real(kind=dp) :: cutValue, whoopdedoo |
| 392 |
|
|
|
| 393 |
|
|
!! this is just a placeholder for a cutoff value, hopefully we'll |
| 394 |
|
|
!! develop a method to calculate a sensible value |
| 395 |
|
|
whoopdedoo = 9.0_dp |
| 396 |
|
|
|
| 397 |
|
|
cutValue = whoopdedoo |
| 398 |
|
|
|
| 399 |
|
|
end function getShapeCut |
| 400 |
|
|
|
| 401 |
gezelter |
1608 |
subroutine do_shape_pair(atom1, atom2, d, rij, r2, sw, vpair, fpair, & |
| 402 |
|
|
pot, A, f, t, do_pot) |
| 403 |
gezelter |
2204 |
|
| 404 |
chrisfen |
1689 |
INTEGER, PARAMETER:: LMAX = 64 |
| 405 |
|
|
INTEGER, PARAMETER:: MMAX = 64 |
| 406 |
|
|
|
| 407 |
gezelter |
1608 |
integer, intent(in) :: atom1, atom2 |
| 408 |
|
|
real (kind=dp), intent(inout) :: rij, r2 |
| 409 |
|
|
real (kind=dp), dimension(3), intent(in) :: d |
| 410 |
|
|
real (kind=dp), dimension(3), intent(inout) :: fpair |
| 411 |
chrisfen |
1717 |
real (kind=dp) :: pot, vpair, sw, dswdr |
| 412 |
gezelter |
1608 |
real (kind=dp), dimension(9,nLocal) :: A |
| 413 |
|
|
real (kind=dp), dimension(3,nLocal) :: f |
| 414 |
|
|
real (kind=dp), dimension(3,nLocal) :: t |
| 415 |
|
|
logical, intent(in) :: do_pot |
| 416 |
|
|
|
| 417 |
|
|
real (kind=dp) :: r3, r5, rt2, rt3, rt5, rt6, rt11, rt12, rt126 |
| 418 |
|
|
integer :: atid1, atid2, st1, st2 |
| 419 |
|
|
integer :: l, m, lm, id1, id2, localError, function_type |
| 420 |
|
|
real (kind=dp) :: sigma_i, s_i, eps_i, sigma_j, s_j, eps_j |
| 421 |
|
|
real (kind=dp) :: coeff |
| 422 |
chrisfen |
1717 |
real (kind=dp) :: pot_temp |
| 423 |
gezelter |
1608 |
|
| 424 |
|
|
real (kind=dp) :: dsigmaidx, dsigmaidy, dsigmaidz |
| 425 |
|
|
real (kind=dp) :: dsigmaidux, dsigmaiduy, dsigmaiduz |
| 426 |
|
|
real (kind=dp) :: dsigmajdx, dsigmajdy, dsigmajdz |
| 427 |
|
|
real (kind=dp) :: dsigmajdux, dsigmajduy, dsigmajduz |
| 428 |
|
|
|
| 429 |
|
|
real (kind=dp) :: dsidx, dsidy, dsidz |
| 430 |
|
|
real (kind=dp) :: dsidux, dsiduy, dsiduz |
| 431 |
|
|
real (kind=dp) :: dsjdx, dsjdy, dsjdz |
| 432 |
|
|
real (kind=dp) :: dsjdux, dsjduy, dsjduz |
| 433 |
|
|
|
| 434 |
|
|
real (kind=dp) :: depsidx, depsidy, depsidz |
| 435 |
|
|
real (kind=dp) :: depsidux, depsiduy, depsiduz |
| 436 |
|
|
real (kind=dp) :: depsjdx, depsjdy, depsjdz |
| 437 |
|
|
real (kind=dp) :: depsjdux, depsjduy, depsjduz |
| 438 |
|
|
|
| 439 |
|
|
real (kind=dp) :: xi, yi, zi, xj, yj, zj, xi2, yi2, zi2, xj2, yj2, zj2 |
| 440 |
|
|
|
| 441 |
gezelter |
1707 |
real (kind=dp) :: sti2, stj2 |
| 442 |
|
|
|
| 443 |
gezelter |
1608 |
real (kind=dp) :: proji, proji3, projj, projj3 |
| 444 |
|
|
real (kind=dp) :: cti, ctj, cpi, cpj, spi, spj |
| 445 |
|
|
real (kind=dp) :: Phunc, sigma, s, eps, rtdenom, rt |
| 446 |
|
|
|
| 447 |
|
|
real (kind=dp) :: dctidx, dctidy, dctidz |
| 448 |
|
|
real (kind=dp) :: dctidux, dctiduy, dctiduz |
| 449 |
|
|
real (kind=dp) :: dctjdx, dctjdy, dctjdz |
| 450 |
|
|
real (kind=dp) :: dctjdux, dctjduy, dctjduz |
| 451 |
|
|
|
| 452 |
|
|
real (kind=dp) :: dcpidx, dcpidy, dcpidz |
| 453 |
|
|
real (kind=dp) :: dcpidux, dcpiduy, dcpiduz |
| 454 |
|
|
real (kind=dp) :: dcpjdx, dcpjdy, dcpjdz |
| 455 |
|
|
real (kind=dp) :: dcpjdux, dcpjduy, dcpjduz |
| 456 |
|
|
|
| 457 |
|
|
real (kind=dp) :: dspidx, dspidy, dspidz |
| 458 |
|
|
real (kind=dp) :: dspidux, dspiduy, dspiduz |
| 459 |
|
|
real (kind=dp) :: dspjdx, dspjdy, dspjdz |
| 460 |
|
|
real (kind=dp) :: dspjdux, dspjduy, dspjduz |
| 461 |
|
|
|
| 462 |
|
|
real (kind=dp) :: dPhuncdX, dPhuncdY, dPhuncdZ |
| 463 |
|
|
real (kind=dp) :: dPhuncdUx, dPhuncdUy, dPhuncdUz |
| 464 |
|
|
|
| 465 |
|
|
real (kind=dp) :: dsigmadxi, dsigmadyi, dsigmadzi |
| 466 |
|
|
real (kind=dp) :: dsigmaduxi, dsigmaduyi, dsigmaduzi |
| 467 |
|
|
real (kind=dp) :: dsigmadxj, dsigmadyj, dsigmadzj |
| 468 |
|
|
real (kind=dp) :: dsigmaduxj, dsigmaduyj, dsigmaduzj |
| 469 |
|
|
|
| 470 |
|
|
real (kind=dp) :: dsdxi, dsdyi, dsdzi |
| 471 |
|
|
real (kind=dp) :: dsduxi, dsduyi, dsduzi |
| 472 |
|
|
real (kind=dp) :: dsdxj, dsdyj, dsdzj |
| 473 |
|
|
real (kind=dp) :: dsduxj, dsduyj, dsduzj |
| 474 |
gezelter |
2204 |
|
| 475 |
gezelter |
1608 |
real (kind=dp) :: depsdxi, depsdyi, depsdzi |
| 476 |
|
|
real (kind=dp) :: depsduxi, depsduyi, depsduzi |
| 477 |
|
|
real (kind=dp) :: depsdxj, depsdyj, depsdzj |
| 478 |
|
|
real (kind=dp) :: depsduxj, depsduyj, depsduzj |
| 479 |
|
|
|
| 480 |
|
|
real (kind=dp) :: drtdxi, drtdyi, drtdzi |
| 481 |
|
|
real (kind=dp) :: drtduxi, drtduyi, drtduzi |
| 482 |
|
|
real (kind=dp) :: drtdxj, drtdyj, drtdzj |
| 483 |
|
|
real (kind=dp) :: drtduxj, drtduyj, drtduzj |
| 484 |
|
|
|
| 485 |
|
|
real (kind=dp) :: drdxi, drdyi, drdzi |
| 486 |
|
|
real (kind=dp) :: drduxi, drduyi, drduzi |
| 487 |
|
|
real (kind=dp) :: drdxj, drdyj, drdzj |
| 488 |
|
|
real (kind=dp) :: drduxj, drduyj, drduzj |
| 489 |
|
|
|
| 490 |
|
|
real (kind=dp) :: dvdxi, dvdyi, dvdzi |
| 491 |
|
|
real (kind=dp) :: dvduxi, dvduyi, dvduzi |
| 492 |
|
|
real (kind=dp) :: dvdxj, dvdyj, dvdzj |
| 493 |
|
|
real (kind=dp) :: dvduxj, dvduyj, dvduzj |
| 494 |
|
|
|
| 495 |
|
|
real (kind=dp) :: fxi, fyi, fzi, fxj, fyj, fzj |
| 496 |
|
|
real (kind=dp) :: txi, tyi, tzi, txj, tyj, tzj |
| 497 |
|
|
real (kind=dp) :: fxii, fyii, fzii, fxij, fyij, fzij |
| 498 |
|
|
real (kind=dp) :: fxji, fyji, fzji, fxjj, fyjj, fzjj |
| 499 |
|
|
real (kind=dp) :: fxradial, fyradial, fzradial |
| 500 |
|
|
|
| 501 |
chrisfen |
2214 |
real (kind=dp) :: xihat, yihat, zihat, xjhat, yjhat, zjhat |
| 502 |
|
|
|
| 503 |
chrisfen |
1698 |
real (kind=dp) :: plm_i(0:LMAX,0:MMAX), dlm_i(0:LMAX,0:MMAX) |
| 504 |
|
|
real (kind=dp) :: plm_j(0:LMAX,0:MMAX), dlm_j(0:LMAX,0:MMAX) |
| 505 |
|
|
real (kind=dp) :: tm_i(0:MMAX), dtm_i(0:MMAX), um_i(0:MMAX), dum_i(0:MMAX) |
| 506 |
|
|
real (kind=dp) :: tm_j(0:MMAX), dtm_j(0:MMAX), um_j(0:MMAX), dum_j(0:MMAX) |
| 507 |
chrisfen |
1689 |
|
| 508 |
gezelter |
1608 |
if (.not.haveShapeMap) then |
| 509 |
|
|
call handleError("calc_shape", "NO SHAPEMAP!!!!") |
| 510 |
|
|
return |
| 511 |
|
|
endif |
| 512 |
gezelter |
2204 |
|
| 513 |
gezelter |
1608 |
!! We assume that the rotation matrices have already been calculated |
| 514 |
|
|
!! and placed in the A array. |
| 515 |
|
|
r3 = r2*rij |
| 516 |
|
|
r5 = r3*r2 |
| 517 |
gezelter |
2204 |
|
| 518 |
gezelter |
1608 |
drdxi = -d(1) / rij |
| 519 |
|
|
drdyi = -d(2) / rij |
| 520 |
|
|
drdzi = -d(3) / rij |
| 521 |
gezelter |
2756 |
drduxi = 0.0_dp |
| 522 |
|
|
drduyi = 0.0_dp |
| 523 |
|
|
drduzi = 0.0_dp |
| 524 |
gezelter |
1608 |
|
| 525 |
|
|
drdxj = d(1) / rij |
| 526 |
|
|
drdyj = d(2) / rij |
| 527 |
|
|
drdzj = d(3) / rij |
| 528 |
gezelter |
2756 |
drduxj = 0.0_dp |
| 529 |
|
|
drduyj = 0.0_dp |
| 530 |
|
|
drduzj = 0.0_dp |
| 531 |
gezelter |
2204 |
|
| 532 |
gezelter |
1608 |
! find the atom type id (atid) for each atom: |
| 533 |
|
|
#ifdef IS_MPI |
| 534 |
|
|
atid1 = atid_Row(atom1) |
| 535 |
|
|
atid2 = atid_Col(atom2) |
| 536 |
|
|
#else |
| 537 |
|
|
atid1 = atid(atom1) |
| 538 |
|
|
atid2 = atid(atom2) |
| 539 |
|
|
#endif |
| 540 |
|
|
|
| 541 |
|
|
! use the atid to find the shape type (st) for each atom: |
| 542 |
|
|
st1 = ShapeMap%atidToShape(atid1) |
| 543 |
|
|
st2 = ShapeMap%atidToShape(atid2) |
| 544 |
chrisfen |
2211 |
|
| 545 |
|
|
! write(*,*) atom1, atom2, atid1, atid2, st1, st2, ShapeMap%Shapes(st1)%isLJ, ShapeMap%Shapes(st2)%isLJ |
| 546 |
chrisfen |
1689 |
|
| 547 |
gezelter |
1608 |
if (ShapeMap%Shapes(st1)%isLJ) then |
| 548 |
chrisfen |
1689 |
|
| 549 |
gezelter |
1608 |
sigma_i = ShapeMap%Shapes(st1)%sigma |
| 550 |
|
|
s_i = ShapeMap%Shapes(st1)%sigma |
| 551 |
|
|
eps_i = ShapeMap%Shapes(st1)%epsilon |
| 552 |
gezelter |
2756 |
dsigmaidx = 0.0_dp |
| 553 |
|
|
dsigmaidy = 0.0_dp |
| 554 |
|
|
dsigmaidz = 0.0_dp |
| 555 |
|
|
dsigmaidux = 0.0_dp |
| 556 |
|
|
dsigmaiduy = 0.0_dp |
| 557 |
|
|
dsigmaiduz = 0.0_dp |
| 558 |
|
|
dsidx = 0.0_dp |
| 559 |
|
|
dsidy = 0.0_dp |
| 560 |
|
|
dsidz = 0.0_dp |
| 561 |
|
|
dsidux = 0.0_dp |
| 562 |
|
|
dsiduy = 0.0_dp |
| 563 |
|
|
dsiduz = 0.0_dp |
| 564 |
|
|
depsidx = 0.0_dp |
| 565 |
|
|
depsidy = 0.0_dp |
| 566 |
|
|
depsidz = 0.0_dp |
| 567 |
|
|
depsidux = 0.0_dp |
| 568 |
|
|
depsiduy = 0.0_dp |
| 569 |
|
|
depsiduz = 0.0_dp |
| 570 |
gezelter |
1608 |
else |
| 571 |
|
|
|
| 572 |
|
|
#ifdef IS_MPI |
| 573 |
|
|
! rotate the inter-particle separation into the two different |
| 574 |
|
|
! body-fixed coordinate systems: |
| 575 |
gezelter |
2204 |
|
| 576 |
gezelter |
1608 |
xi = A_row(1,atom1)*d(1) + A_row(2,atom1)*d(2) + A_row(3,atom1)*d(3) |
| 577 |
|
|
yi = A_row(4,atom1)*d(1) + A_row(5,atom1)*d(2) + A_row(6,atom1)*d(3) |
| 578 |
|
|
zi = A_row(7,atom1)*d(1) + A_row(8,atom1)*d(2) + A_row(9,atom1)*d(3) |
| 579 |
gezelter |
2204 |
|
| 580 |
gezelter |
1608 |
#else |
| 581 |
|
|
! rotate the inter-particle separation into the two different |
| 582 |
|
|
! body-fixed coordinate systems: |
| 583 |
gezelter |
2204 |
|
| 584 |
gezelter |
1608 |
xi = a(1,atom1)*d(1) + a(2,atom1)*d(2) + a(3,atom1)*d(3) |
| 585 |
|
|
yi = a(4,atom1)*d(1) + a(5,atom1)*d(2) + a(6,atom1)*d(3) |
| 586 |
|
|
zi = a(7,atom1)*d(1) + a(8,atom1)*d(2) + a(9,atom1)*d(3) |
| 587 |
gezelter |
2204 |
|
| 588 |
gezelter |
1608 |
#endif |
| 589 |
chrisfen |
2214 |
xihat = xi / rij |
| 590 |
|
|
yihat = yi / rij |
| 591 |
|
|
zihat = zi / rij |
| 592 |
gezelter |
1608 |
xi2 = xi*xi |
| 593 |
|
|
yi2 = yi*yi |
| 594 |
gezelter |
1707 |
zi2 = zi*zi |
| 595 |
gezelter |
1608 |
cti = zi / rij |
| 596 |
chrisfen |
1689 |
|
| 597 |
gezelter |
1707 |
if (cti .gt. 1.0_dp) cti = 1.0_dp |
| 598 |
|
|
if (cti .lt. -1.0_dp) cti = -1.0_dp |
| 599 |
|
|
|
| 600 |
gezelter |
1608 |
dctidx = - zi * xi / r3 |
| 601 |
|
|
dctidy = - zi * yi / r3 |
| 602 |
gezelter |
2756 |
dctidz = 1.0_dp / rij - zi2 / r3 |
| 603 |
chrisfen |
2214 |
dctidux = yi / rij ! - (zi * xi2) / r3 |
| 604 |
|
|
dctiduy = -xi / rij !- (zi * yi2) / r3 |
| 605 |
gezelter |
2756 |
dctiduz = 0.0_dp !zi / rij - (zi2 * zi) / r3 |
| 606 |
gezelter |
1707 |
|
| 607 |
|
|
! this is an attempt to try to truncate the singularity when |
| 608 |
|
|
! sin(theta) is near 0.0: |
| 609 |
|
|
|
| 610 |
|
|
sti2 = 1.0_dp - cti*cti |
| 611 |
gezelter |
2756 |
if (abs(sti2) .lt. 1.0e-12_dp) then |
| 612 |
|
|
proji = sqrt(rij * 1.0e-12_dp) |
| 613 |
|
|
dcpidx = 1.0_dp / proji |
| 614 |
|
|
dcpidy = 0.0_dp |
| 615 |
chrisfen |
1717 |
dcpidux = xi / proji |
| 616 |
gezelter |
2756 |
dcpiduy = 0.0_dp |
| 617 |
|
|
dspidx = 0.0_dp |
| 618 |
|
|
dspidy = 1.0_dp / proji |
| 619 |
|
|
dspidux = 0.0_dp |
| 620 |
chrisfen |
1717 |
dspiduy = yi / proji |
| 621 |
gezelter |
1707 |
else |
| 622 |
|
|
proji = sqrt(xi2 + yi2) |
| 623 |
|
|
proji3 = proji*proji*proji |
| 624 |
gezelter |
2756 |
dcpidx = 1.0_dp / proji - xi2 / proji3 |
| 625 |
gezelter |
1707 |
dcpidy = - xi * yi / proji3 |
| 626 |
chrisfen |
1717 |
dcpidux = xi / proji - (xi2 * xi) / proji3 |
| 627 |
|
|
dcpiduy = - (xi * yi2) / proji3 |
| 628 |
gezelter |
1707 |
dspidx = - xi * yi / proji3 |
| 629 |
gezelter |
2756 |
dspidy = 1.0_dp / proji - yi2 / proji3 |
| 630 |
chrisfen |
1717 |
dspidux = - (yi * xi2) / proji3 |
| 631 |
|
|
dspiduy = yi / proji - (yi2 * yi) / proji3 |
| 632 |
gezelter |
1707 |
endif |
| 633 |
gezelter |
2204 |
|
| 634 |
gezelter |
1608 |
cpi = xi / proji |
| 635 |
gezelter |
2756 |
dcpidz = 0.0_dp |
| 636 |
|
|
dcpiduz = 0.0_dp |
| 637 |
gezelter |
2204 |
|
| 638 |
gezelter |
1608 |
spi = yi / proji |
| 639 |
gezelter |
2756 |
dspidz = 0.0_dp |
| 640 |
|
|
dspiduz = 0.0_dp |
| 641 |
gezelter |
1608 |
|
| 642 |
chrisfen |
1698 |
call Associated_Legendre(cti, ShapeMap%Shapes(st1)%bigM, & |
| 643 |
|
|
ShapeMap%Shapes(st1)%bigL, LMAX, & |
| 644 |
chrisfen |
1689 |
plm_i, dlm_i) |
| 645 |
gezelter |
1608 |
|
| 646 |
chrisfen |
1689 |
call Orthogonal_Polynomial(cpi, ShapeMap%Shapes(st1)%bigM, MMAX, & |
| 647 |
gezelter |
1608 |
CHEBYSHEV_TN, tm_i, dtm_i) |
| 648 |
chrisfen |
1689 |
call Orthogonal_Polynomial(cpi, ShapeMap%Shapes(st1)%bigM, MMAX, & |
| 649 |
gezelter |
1608 |
CHEBYSHEV_UN, um_i, dum_i) |
| 650 |
gezelter |
2204 |
|
| 651 |
gezelter |
2756 |
sigma_i = 0.0_dp |
| 652 |
|
|
s_i = 0.0_dp |
| 653 |
|
|
eps_i = 0.0_dp |
| 654 |
|
|
dsigmaidx = 0.0_dp |
| 655 |
|
|
dsigmaidy = 0.0_dp |
| 656 |
|
|
dsigmaidz = 0.0_dp |
| 657 |
|
|
dsigmaidux = 0.0_dp |
| 658 |
|
|
dsigmaiduy = 0.0_dp |
| 659 |
|
|
dsigmaiduz = 0.0_dp |
| 660 |
|
|
dsidx = 0.0_dp |
| 661 |
|
|
dsidy = 0.0_dp |
| 662 |
|
|
dsidz = 0.0_dp |
| 663 |
|
|
dsidux = 0.0_dp |
| 664 |
|
|
dsiduy = 0.0_dp |
| 665 |
|
|
dsiduz = 0.0_dp |
| 666 |
|
|
depsidx = 0.0_dp |
| 667 |
|
|
depsidy = 0.0_dp |
| 668 |
|
|
depsidz = 0.0_dp |
| 669 |
|
|
depsidux = 0.0_dp |
| 670 |
|
|
depsiduy = 0.0_dp |
| 671 |
|
|
depsiduz = 0.0_dp |
| 672 |
gezelter |
1608 |
|
| 673 |
|
|
do lm = 1, ShapeMap%Shapes(st1)%nContactFuncs |
| 674 |
|
|
l = ShapeMap%Shapes(st1)%ContactFuncLValue(lm) |
| 675 |
|
|
m = ShapeMap%Shapes(st1)%ContactFuncMValue(lm) |
| 676 |
|
|
coeff = ShapeMap%Shapes(st1)%ContactFuncCoefficient(lm) |
| 677 |
|
|
function_type = ShapeMap%Shapes(st1)%ContactFunctionType(lm) |
| 678 |
|
|
|
| 679 |
|
|
if ((function_type .eq. SH_COS).or.(m.eq.0)) then |
| 680 |
|
|
Phunc = coeff * tm_i(m) |
| 681 |
|
|
dPhuncdX = coeff * dtm_i(m) * dcpidx |
| 682 |
|
|
dPhuncdY = coeff * dtm_i(m) * dcpidy |
| 683 |
|
|
dPhuncdZ = coeff * dtm_i(m) * dcpidz |
| 684 |
chrisfen |
2214 |
dPhuncdUx = coeff * dtm_i(m) * dcpidux |
| 685 |
gezelter |
1608 |
dPhuncdUy = coeff * dtm_i(m) * dcpiduy |
| 686 |
|
|
dPhuncdUz = coeff * dtm_i(m) * dcpiduz |
| 687 |
|
|
else |
| 688 |
|
|
Phunc = coeff * spi * um_i(m-1) |
| 689 |
|
|
dPhuncdX = coeff * (spi * dum_i(m-1) * dcpidx + dspidx *um_i(m-1)) |
| 690 |
|
|
dPhuncdY = coeff * (spi * dum_i(m-1) * dcpidy + dspidy *um_i(m-1)) |
| 691 |
|
|
dPhuncdZ = coeff * (spi * dum_i(m-1) * dcpidz + dspidz *um_i(m-1)) |
| 692 |
|
|
dPhuncdUx = coeff*(spi * dum_i(m-1)*dcpidux + dspidux *um_i(m-1)) |
| 693 |
|
|
dPhuncdUy = coeff*(spi * dum_i(m-1)*dcpiduy + dspiduy *um_i(m-1)) |
| 694 |
|
|
dPhuncdUz = coeff*(spi * dum_i(m-1)*dcpiduz + dspiduz *um_i(m-1)) |
| 695 |
|
|
endif |
| 696 |
|
|
|
| 697 |
chrisfen |
1698 |
sigma_i = sigma_i + plm_i(m,l)*Phunc |
| 698 |
chrisfen |
2214 |
!!$ write(*,*) 'dsigmaidux = ', dsigmaidux |
| 699 |
|
|
!!$ write(*,*) 'Phunc = ', Phunc |
| 700 |
chrisfen |
1698 |
dsigmaidx = dsigmaidx + plm_i(m,l)*dPhuncdX + & |
| 701 |
|
|
Phunc * dlm_i(m,l) * dctidx |
| 702 |
|
|
dsigmaidy = dsigmaidy + plm_i(m,l)*dPhuncdY + & |
| 703 |
|
|
Phunc * dlm_i(m,l) * dctidy |
| 704 |
|
|
dsigmaidz = dsigmaidz + plm_i(m,l)*dPhuncdZ + & |
| 705 |
|
|
Phunc * dlm_i(m,l) * dctidz |
| 706 |
|
|
dsigmaidux = dsigmaidux + plm_i(m,l)* dPhuncdUx + & |
| 707 |
|
|
Phunc * dlm_i(m,l) * dctidux |
| 708 |
|
|
dsigmaiduy = dsigmaiduy + plm_i(m,l)* dPhuncdUy + & |
| 709 |
|
|
Phunc * dlm_i(m,l) * dctiduy |
| 710 |
|
|
dsigmaiduz = dsigmaiduz + plm_i(m,l)* dPhuncdUz + & |
| 711 |
|
|
Phunc * dlm_i(m,l) * dctiduz |
| 712 |
chrisfen |
2214 |
!!$ write(*,*) 'dsigmaidux = ', dsigmaidux, '; dPhuncdUx = ', dPhuncdUx, & |
| 713 |
|
|
!!$ '; dctidux = ', dctidux, '; plm_i(m,l) = ', plm_i(m,l), & |
| 714 |
|
|
!!$ '; dlm_i(m,l) = ', dlm_i(m,l), '; m = ', m, '; l = ', l |
| 715 |
gezelter |
1608 |
end do |
| 716 |
|
|
|
| 717 |
|
|
do lm = 1, ShapeMap%Shapes(st1)%nRangeFuncs |
| 718 |
|
|
l = ShapeMap%Shapes(st1)%RangeFuncLValue(lm) |
| 719 |
|
|
m = ShapeMap%Shapes(st1)%RangeFuncMValue(lm) |
| 720 |
|
|
coeff = ShapeMap%Shapes(st1)%RangeFuncCoefficient(lm) |
| 721 |
|
|
function_type = ShapeMap%Shapes(st1)%RangeFunctionType(lm) |
| 722 |
gezelter |
2204 |
|
| 723 |
gezelter |
1608 |
if ((function_type .eq. SH_COS).or.(m.eq.0)) then |
| 724 |
|
|
Phunc = coeff * tm_i(m) |
| 725 |
|
|
dPhuncdX = coeff * dtm_i(m) * dcpidx |
| 726 |
|
|
dPhuncdY = coeff * dtm_i(m) * dcpidy |
| 727 |
|
|
dPhuncdZ = coeff * dtm_i(m) * dcpidz |
| 728 |
chrisfen |
2214 |
dPhuncdUx = coeff * dtm_i(m) * dcpidux |
| 729 |
gezelter |
1608 |
dPhuncdUy = coeff * dtm_i(m) * dcpiduy |
| 730 |
|
|
dPhuncdUz = coeff * dtm_i(m) * dcpiduz |
| 731 |
|
|
else |
| 732 |
|
|
Phunc = coeff * spi * um_i(m-1) |
| 733 |
|
|
dPhuncdX = coeff * (spi * dum_i(m-1) * dcpidx + dspidx *um_i(m-1)) |
| 734 |
|
|
dPhuncdY = coeff * (spi * dum_i(m-1) * dcpidy + dspidy *um_i(m-1)) |
| 735 |
|
|
dPhuncdZ = coeff * (spi * dum_i(m-1) * dcpidz + dspidz *um_i(m-1)) |
| 736 |
|
|
dPhuncdUx = coeff*(spi * dum_i(m-1)*dcpidux + dspidux *um_i(m-1)) |
| 737 |
|
|
dPhuncdUy = coeff*(spi * dum_i(m-1)*dcpiduy + dspiduy *um_i(m-1)) |
| 738 |
|
|
dPhuncdUz = coeff*(spi * dum_i(m-1)*dcpiduz + dspiduz *um_i(m-1)) |
| 739 |
|
|
endif |
| 740 |
|
|
|
| 741 |
chrisfen |
1698 |
s_i = s_i + plm_i(m,l)*Phunc |
| 742 |
gezelter |
2204 |
|
| 743 |
chrisfen |
1698 |
dsidx = dsidx + plm_i(m,l)*dPhuncdX + & |
| 744 |
|
|
Phunc * dlm_i(m,l) * dctidx |
| 745 |
|
|
dsidy = dsidy + plm_i(m,l)*dPhuncdY + & |
| 746 |
|
|
Phunc * dlm_i(m,l) * dctidy |
| 747 |
|
|
dsidz = dsidz + plm_i(m,l)*dPhuncdZ + & |
| 748 |
|
|
Phunc * dlm_i(m,l) * dctidz |
| 749 |
gezelter |
2204 |
|
| 750 |
chrisfen |
1698 |
dsidux = dsidux + plm_i(m,l)* dPhuncdUx + & |
| 751 |
|
|
Phunc * dlm_i(m,l) * dctidux |
| 752 |
|
|
dsiduy = dsiduy + plm_i(m,l)* dPhuncdUy + & |
| 753 |
|
|
Phunc * dlm_i(m,l) * dctiduy |
| 754 |
|
|
dsiduz = dsiduz + plm_i(m,l)* dPhuncdUz + & |
| 755 |
|
|
Phunc * dlm_i(m,l) * dctiduz |
| 756 |
gezelter |
1608 |
|
| 757 |
|
|
end do |
| 758 |
gezelter |
2204 |
|
| 759 |
gezelter |
1608 |
do lm = 1, ShapeMap%Shapes(st1)%nStrengthFuncs |
| 760 |
|
|
l = ShapeMap%Shapes(st1)%StrengthFuncLValue(lm) |
| 761 |
|
|
m = ShapeMap%Shapes(st1)%StrengthFuncMValue(lm) |
| 762 |
|
|
coeff = ShapeMap%Shapes(st1)%StrengthFuncCoefficient(lm) |
| 763 |
|
|
function_type = ShapeMap%Shapes(st1)%StrengthFunctionType(lm) |
| 764 |
gezelter |
2204 |
|
| 765 |
gezelter |
1608 |
if ((function_type .eq. SH_COS).or.(m.eq.0)) then |
| 766 |
|
|
Phunc = coeff * tm_i(m) |
| 767 |
|
|
dPhuncdX = coeff * dtm_i(m) * dcpidx |
| 768 |
|
|
dPhuncdY = coeff * dtm_i(m) * dcpidy |
| 769 |
|
|
dPhuncdZ = coeff * dtm_i(m) * dcpidz |
| 770 |
chrisfen |
2214 |
dPhuncdUx = coeff * dtm_i(m) * dcpidux |
| 771 |
gezelter |
1608 |
dPhuncdUy = coeff * dtm_i(m) * dcpiduy |
| 772 |
|
|
dPhuncdUz = coeff * dtm_i(m) * dcpiduz |
| 773 |
|
|
else |
| 774 |
|
|
Phunc = coeff * spi * um_i(m-1) |
| 775 |
|
|
dPhuncdX = coeff * (spi * dum_i(m-1) * dcpidx + dspidx *um_i(m-1)) |
| 776 |
|
|
dPhuncdY = coeff * (spi * dum_i(m-1) * dcpidy + dspidy *um_i(m-1)) |
| 777 |
|
|
dPhuncdZ = coeff * (spi * dum_i(m-1) * dcpidz + dspidz *um_i(m-1)) |
| 778 |
|
|
dPhuncdUx = coeff*(spi * dum_i(m-1)*dcpidux + dspidux *um_i(m-1)) |
| 779 |
|
|
dPhuncdUy = coeff*(spi * dum_i(m-1)*dcpiduy + dspiduy *um_i(m-1)) |
| 780 |
|
|
dPhuncdUz = coeff*(spi * dum_i(m-1)*dcpiduz + dspiduz *um_i(m-1)) |
| 781 |
|
|
endif |
| 782 |
chrisfen |
1698 |
|
| 783 |
|
|
eps_i = eps_i + plm_i(m,l)*Phunc |
| 784 |
gezelter |
2204 |
|
| 785 |
chrisfen |
1698 |
depsidx = depsidx + plm_i(m,l)*dPhuncdX + & |
| 786 |
|
|
Phunc * dlm_i(m,l) * dctidx |
| 787 |
|
|
depsidy = depsidy + plm_i(m,l)*dPhuncdY + & |
| 788 |
|
|
Phunc * dlm_i(m,l) * dctidy |
| 789 |
|
|
depsidz = depsidz + plm_i(m,l)*dPhuncdZ + & |
| 790 |
|
|
Phunc * dlm_i(m,l) * dctidz |
| 791 |
gezelter |
2204 |
|
| 792 |
chrisfen |
1698 |
depsidux = depsidux + plm_i(m,l)* dPhuncdUx + & |
| 793 |
|
|
Phunc * dlm_i(m,l) * dctidux |
| 794 |
|
|
depsiduy = depsiduy + plm_i(m,l)* dPhuncdUy + & |
| 795 |
|
|
Phunc * dlm_i(m,l) * dctiduy |
| 796 |
|
|
depsiduz = depsiduz + plm_i(m,l)* dPhuncdUz + & |
| 797 |
|
|
Phunc * dlm_i(m,l) * dctiduz |
| 798 |
gezelter |
1608 |
|
| 799 |
|
|
end do |
| 800 |
|
|
|
| 801 |
|
|
endif |
| 802 |
|
|
|
| 803 |
gezelter |
2204 |
! now do j: |
| 804 |
|
|
|
| 805 |
gezelter |
1608 |
if (ShapeMap%Shapes(st2)%isLJ) then |
| 806 |
|
|
sigma_j = ShapeMap%Shapes(st2)%sigma |
| 807 |
|
|
s_j = ShapeMap%Shapes(st2)%sigma |
| 808 |
|
|
eps_j = ShapeMap%Shapes(st2)%epsilon |
| 809 |
gezelter |
2756 |
dsigmajdx = 0.0_dp |
| 810 |
|
|
dsigmajdy = 0.0_dp |
| 811 |
|
|
dsigmajdz = 0.0_dp |
| 812 |
|
|
dsigmajdux = 0.0_dp |
| 813 |
|
|
dsigmajduy = 0.0_dp |
| 814 |
|
|
dsigmajduz = 0.0_dp |
| 815 |
|
|
dsjdx = 0.0_dp |
| 816 |
|
|
dsjdy = 0.0_dp |
| 817 |
|
|
dsjdz = 0.0_dp |
| 818 |
|
|
dsjdux = 0.0_dp |
| 819 |
|
|
dsjduy = 0.0_dp |
| 820 |
|
|
dsjduz = 0.0_dp |
| 821 |
|
|
depsjdx = 0.0_dp |
| 822 |
|
|
depsjdy = 0.0_dp |
| 823 |
|
|
depsjdz = 0.0_dp |
| 824 |
|
|
depsjdux = 0.0_dp |
| 825 |
|
|
depsjduy = 0.0_dp |
| 826 |
|
|
depsjduz = 0.0_dp |
| 827 |
gezelter |
1608 |
else |
| 828 |
gezelter |
2204 |
|
| 829 |
gezelter |
1608 |
#ifdef IS_MPI |
| 830 |
|
|
! rotate the inter-particle separation into the two different |
| 831 |
|
|
! body-fixed coordinate systems: |
| 832 |
|
|
! negative sign because this is the vector from j to i: |
| 833 |
gezelter |
2204 |
|
| 834 |
gezelter |
1608 |
xj = -(A_Col(1,atom2)*d(1) + A_Col(2,atom2)*d(2) + A_Col(3,atom2)*d(3)) |
| 835 |
|
|
yj = -(A_Col(4,atom2)*d(1) + A_Col(5,atom2)*d(2) + A_Col(6,atom2)*d(3)) |
| 836 |
|
|
zj = -(A_Col(7,atom2)*d(1) + A_Col(8,atom2)*d(2) + A_Col(9,atom2)*d(3)) |
| 837 |
|
|
#else |
| 838 |
|
|
! rotate the inter-particle separation into the two different |
| 839 |
|
|
! body-fixed coordinate systems: |
| 840 |
|
|
! negative sign because this is the vector from j to i: |
| 841 |
gezelter |
2204 |
|
| 842 |
gezelter |
1608 |
xj = -(a(1,atom2)*d(1) + a(2,atom2)*d(2) + a(3,atom2)*d(3)) |
| 843 |
|
|
yj = -(a(4,atom2)*d(1) + a(5,atom2)*d(2) + a(6,atom2)*d(3)) |
| 844 |
|
|
zj = -(a(7,atom2)*d(1) + a(8,atom2)*d(2) + a(9,atom2)*d(3)) |
| 845 |
|
|
#endif |
| 846 |
gezelter |
2204 |
|
| 847 |
chrisfen |
2214 |
xjhat = xj / rij |
| 848 |
|
|
yjhat = yj / rij |
| 849 |
|
|
zjhat = zj / rij |
| 850 |
gezelter |
1608 |
xj2 = xj*xj |
| 851 |
|
|
yj2 = yj*yj |
| 852 |
|
|
zj2 = zj*zj |
| 853 |
gezelter |
1707 |
ctj = zj / rij |
| 854 |
gezelter |
2204 |
|
| 855 |
gezelter |
1707 |
if (ctj .gt. 1.0_dp) ctj = 1.0_dp |
| 856 |
|
|
if (ctj .lt. -1.0_dp) ctj = -1.0_dp |
| 857 |
|
|
|
| 858 |
gezelter |
1608 |
dctjdx = - zj * xj / r3 |
| 859 |
|
|
dctjdy = - zj * yj / r3 |
| 860 |
gezelter |
2756 |
dctjdz = 1.0_dp / rij - zj2 / r3 |
| 861 |
chrisfen |
2214 |
dctjdux = yj / rij !- (zi * xj2) / r3 |
| 862 |
|
|
dctjduy = -xj / rij !- (zj * yj2) / r3 |
| 863 |
gezelter |
2756 |
dctjduz = 0.0_dp !zj / rij - (zj2 * zj) / r3 |
| 864 |
gezelter |
2204 |
|
| 865 |
gezelter |
1707 |
! this is an attempt to try to truncate the singularity when |
| 866 |
|
|
! sin(theta) is near 0.0: |
| 867 |
|
|
|
| 868 |
|
|
stj2 = 1.0_dp - ctj*ctj |
| 869 |
gezelter |
2756 |
if (abs(stj2) .lt. 1.0e-12_dp) then |
| 870 |
|
|
projj = sqrt(rij * 1.0e-12_dp) |
| 871 |
|
|
dcpjdx = 1.0_dp / projj |
| 872 |
|
|
dcpjdy = 0.0_dp |
| 873 |
chrisfen |
1717 |
dcpjdux = xj / projj |
| 874 |
gezelter |
2756 |
dcpjduy = 0.0_dp |
| 875 |
|
|
dspjdx = 0.0_dp |
| 876 |
|
|
dspjdy = 1.0_dp / projj |
| 877 |
|
|
dspjdux = 0.0_dp |
| 878 |
chrisfen |
1717 |
dspjduy = yj / projj |
| 879 |
gezelter |
1707 |
else |
| 880 |
|
|
projj = sqrt(xj2 + yj2) |
| 881 |
|
|
projj3 = projj*projj*projj |
| 882 |
gezelter |
2756 |
dcpjdx = 1.0_dp / projj - xj2 / projj3 |
| 883 |
gezelter |
1707 |
dcpjdy = - xj * yj / projj3 |
| 884 |
chrisfen |
1717 |
dcpjdux = xj / projj - (xj2 * xj) / projj3 |
| 885 |
|
|
dcpjduy = - (xj * yj2) / projj3 |
| 886 |
gezelter |
1707 |
dspjdx = - xj * yj / projj3 |
| 887 |
gezelter |
2756 |
dspjdy = 1.0_dp / projj - yj2 / projj3 |
| 888 |
chrisfen |
1717 |
dspjdux = - (yj * xj2) / projj3 |
| 889 |
|
|
dspjduy = yj / projj - (yj2 * yj) / projj3 |
| 890 |
gezelter |
1707 |
endif |
| 891 |
|
|
|
| 892 |
gezelter |
1608 |
cpj = xj / projj |
| 893 |
gezelter |
2756 |
dcpjdz = 0.0_dp |
| 894 |
|
|
dcpjduz = 0.0_dp |
| 895 |
gezelter |
2204 |
|
| 896 |
gezelter |
1608 |
spj = yj / projj |
| 897 |
gezelter |
2756 |
dspjdz = 0.0_dp |
| 898 |
|
|
dspjduz = 0.0_dp |
| 899 |
gezelter |
1707 |
|
| 900 |
chrisfen |
1717 |
|
| 901 |
chrisfen |
2211 |
! write(*,*) 'dcpdu = ' ,dcpidux, dcpiduy, dcpiduz |
| 902 |
|
|
! write(*,*) 'dcpdu = ' ,dcpjdux, dcpjduy, dcpjduz |
| 903 |
chrisfen |
1698 |
call Associated_Legendre(ctj, ShapeMap%Shapes(st2)%bigM, & |
| 904 |
|
|
ShapeMap%Shapes(st2)%bigL, LMAX, & |
| 905 |
chrisfen |
1689 |
plm_j, dlm_j) |
| 906 |
gezelter |
2204 |
|
| 907 |
chrisfen |
1689 |
call Orthogonal_Polynomial(cpj, ShapeMap%Shapes(st2)%bigM, MMAX, & |
| 908 |
gezelter |
1608 |
CHEBYSHEV_TN, tm_j, dtm_j) |
| 909 |
chrisfen |
1689 |
call Orthogonal_Polynomial(cpj, ShapeMap%Shapes(st2)%bigM, MMAX, & |
| 910 |
gezelter |
1608 |
CHEBYSHEV_UN, um_j, dum_j) |
| 911 |
gezelter |
2204 |
|
| 912 |
gezelter |
2756 |
sigma_j = 0.0_dp |
| 913 |
|
|
s_j = 0.0_dp |
| 914 |
|
|
eps_j = 0.0_dp |
| 915 |
|
|
dsigmajdx = 0.0_dp |
| 916 |
|
|
dsigmajdy = 0.0_dp |
| 917 |
|
|
dsigmajdz = 0.0_dp |
| 918 |
|
|
dsigmajdux = 0.0_dp |
| 919 |
|
|
dsigmajduy = 0.0_dp |
| 920 |
|
|
dsigmajduz = 0.0_dp |
| 921 |
|
|
dsjdx = 0.0_dp |
| 922 |
|
|
dsjdy = 0.0_dp |
| 923 |
|
|
dsjdz = 0.0_dp |
| 924 |
|
|
dsjdux = 0.0_dp |
| 925 |
|
|
dsjduy = 0.0_dp |
| 926 |
|
|
dsjduz = 0.0_dp |
| 927 |
|
|
depsjdx = 0.0_dp |
| 928 |
|
|
depsjdy = 0.0_dp |
| 929 |
|
|
depsjdz = 0.0_dp |
| 930 |
|
|
depsjdux = 0.0_dp |
| 931 |
|
|
depsjduy = 0.0_dp |
| 932 |
|
|
depsjduz = 0.0_dp |
| 933 |
gezelter |
1608 |
|
| 934 |
|
|
do lm = 1, ShapeMap%Shapes(st2)%nContactFuncs |
| 935 |
|
|
l = ShapeMap%Shapes(st2)%ContactFuncLValue(lm) |
| 936 |
|
|
m = ShapeMap%Shapes(st2)%ContactFuncMValue(lm) |
| 937 |
|
|
coeff = ShapeMap%Shapes(st2)%ContactFuncCoefficient(lm) |
| 938 |
|
|
function_type = ShapeMap%Shapes(st2)%ContactFunctionType(lm) |
| 939 |
|
|
|
| 940 |
|
|
if ((function_type .eq. SH_COS).or.(m.eq.0)) then |
| 941 |
|
|
Phunc = coeff * tm_j(m) |
| 942 |
|
|
dPhuncdX = coeff * dtm_j(m) * dcpjdx |
| 943 |
|
|
dPhuncdY = coeff * dtm_j(m) * dcpjdy |
| 944 |
|
|
dPhuncdZ = coeff * dtm_j(m) * dcpjdz |
| 945 |
chrisfen |
2214 |
dPhuncdUx = coeff * dtm_j(m) * dcpjdux |
| 946 |
gezelter |
1608 |
dPhuncdUy = coeff * dtm_j(m) * dcpjduy |
| 947 |
|
|
dPhuncdUz = coeff * dtm_j(m) * dcpjduz |
| 948 |
|
|
else |
| 949 |
|
|
Phunc = coeff * spj * um_j(m-1) |
| 950 |
|
|
dPhuncdX = coeff * (spj * dum_j(m-1) * dcpjdx + dspjdx *um_j(m-1)) |
| 951 |
|
|
dPhuncdY = coeff * (spj * dum_j(m-1) * dcpjdy + dspjdy *um_j(m-1)) |
| 952 |
|
|
dPhuncdZ = coeff * (spj * dum_j(m-1) * dcpjdz + dspjdz *um_j(m-1)) |
| 953 |
|
|
dPhuncdUx = coeff*(spj * dum_j(m-1)*dcpjdux + dspjdux *um_j(m-1)) |
| 954 |
|
|
dPhuncdUy = coeff*(spj * dum_j(m-1)*dcpjduy + dspjduy *um_j(m-1)) |
| 955 |
|
|
dPhuncdUz = coeff*(spj * dum_j(m-1)*dcpjduz + dspjduz *um_j(m-1)) |
| 956 |
|
|
endif |
| 957 |
gezelter |
2204 |
|
| 958 |
chrisfen |
1698 |
sigma_j = sigma_j + plm_j(m,l)*Phunc |
| 959 |
gezelter |
2204 |
|
| 960 |
chrisfen |
1698 |
dsigmajdx = dsigmajdx + plm_j(m,l)*dPhuncdX + & |
| 961 |
|
|
Phunc * dlm_j(m,l) * dctjdx |
| 962 |
|
|
dsigmajdy = dsigmajdy + plm_j(m,l)*dPhuncdY + & |
| 963 |
|
|
Phunc * dlm_j(m,l) * dctjdy |
| 964 |
|
|
dsigmajdz = dsigmajdz + plm_j(m,l)*dPhuncdZ + & |
| 965 |
|
|
Phunc * dlm_j(m,l) * dctjdz |
| 966 |
gezelter |
2204 |
|
| 967 |
chrisfen |
1698 |
dsigmajdux = dsigmajdux + plm_j(m,l)* dPhuncdUx + & |
| 968 |
|
|
Phunc * dlm_j(m,l) * dctjdux |
| 969 |
|
|
dsigmajduy = dsigmajduy + plm_j(m,l)* dPhuncdUy + & |
| 970 |
|
|
Phunc * dlm_j(m,l) * dctjduy |
| 971 |
|
|
dsigmajduz = dsigmajduz + plm_j(m,l)* dPhuncdUz + & |
| 972 |
|
|
Phunc * dlm_j(m,l) * dctjduz |
| 973 |
gezelter |
1608 |
|
| 974 |
|
|
end do |
| 975 |
|
|
|
| 976 |
|
|
do lm = 1, ShapeMap%Shapes(st2)%nRangeFuncs |
| 977 |
|
|
l = ShapeMap%Shapes(st2)%RangeFuncLValue(lm) |
| 978 |
|
|
m = ShapeMap%Shapes(st2)%RangeFuncMValue(lm) |
| 979 |
|
|
coeff = ShapeMap%Shapes(st2)%RangeFuncCoefficient(lm) |
| 980 |
|
|
function_type = ShapeMap%Shapes(st2)%RangeFunctionType(lm) |
| 981 |
|
|
|
| 982 |
|
|
if ((function_type .eq. SH_COS).or.(m.eq.0)) then |
| 983 |
|
|
Phunc = coeff * tm_j(m) |
| 984 |
|
|
dPhuncdX = coeff * dtm_j(m) * dcpjdx |
| 985 |
|
|
dPhuncdY = coeff * dtm_j(m) * dcpjdy |
| 986 |
|
|
dPhuncdZ = coeff * dtm_j(m) * dcpjdz |
| 987 |
chrisfen |
2214 |
dPhuncdUx = coeff * dtm_j(m) * dcpjdux |
| 988 |
gezelter |
1608 |
dPhuncdUy = coeff * dtm_j(m) * dcpjduy |
| 989 |
|
|
dPhuncdUz = coeff * dtm_j(m) * dcpjduz |
| 990 |
|
|
else |
| 991 |
|
|
Phunc = coeff * spj * um_j(m-1) |
| 992 |
|
|
dPhuncdX = coeff * (spj * dum_j(m-1) * dcpjdx + dspjdx *um_j(m-1)) |
| 993 |
|
|
dPhuncdY = coeff * (spj * dum_j(m-1) * dcpjdy + dspjdy *um_j(m-1)) |
| 994 |
|
|
dPhuncdZ = coeff * (spj * dum_j(m-1) * dcpjdz + dspjdz *um_j(m-1)) |
| 995 |
|
|
dPhuncdUx = coeff*(spj * dum_j(m-1)*dcpjdux + dspjdux *um_j(m-1)) |
| 996 |
|
|
dPhuncdUy = coeff*(spj * dum_j(m-1)*dcpjduy + dspjduy *um_j(m-1)) |
| 997 |
|
|
dPhuncdUz = coeff*(spj * dum_j(m-1)*dcpjduz + dspjduz *um_j(m-1)) |
| 998 |
|
|
endif |
| 999 |
|
|
|
| 1000 |
chrisfen |
1698 |
s_j = s_j + plm_j(m,l)*Phunc |
| 1001 |
gezelter |
2204 |
|
| 1002 |
chrisfen |
1698 |
dsjdx = dsjdx + plm_j(m,l)*dPhuncdX + & |
| 1003 |
|
|
Phunc * dlm_j(m,l) * dctjdx |
| 1004 |
|
|
dsjdy = dsjdy + plm_j(m,l)*dPhuncdY + & |
| 1005 |
|
|
Phunc * dlm_j(m,l) * dctjdy |
| 1006 |
|
|
dsjdz = dsjdz + plm_j(m,l)*dPhuncdZ + & |
| 1007 |
|
|
Phunc * dlm_j(m,l) * dctjdz |
| 1008 |
gezelter |
2204 |
|
| 1009 |
chrisfen |
1698 |
dsjdux = dsjdux + plm_j(m,l)* dPhuncdUx + & |
| 1010 |
|
|
Phunc * dlm_j(m,l) * dctjdux |
| 1011 |
|
|
dsjduy = dsjduy + plm_j(m,l)* dPhuncdUy + & |
| 1012 |
|
|
Phunc * dlm_j(m,l) * dctjduy |
| 1013 |
|
|
dsjduz = dsjduz + plm_j(m,l)* dPhuncdUz + & |
| 1014 |
|
|
Phunc * dlm_j(m,l) * dctjduz |
| 1015 |
gezelter |
1608 |
|
| 1016 |
|
|
end do |
| 1017 |
|
|
|
| 1018 |
|
|
do lm = 1, ShapeMap%Shapes(st2)%nStrengthFuncs |
| 1019 |
|
|
l = ShapeMap%Shapes(st2)%StrengthFuncLValue(lm) |
| 1020 |
|
|
m = ShapeMap%Shapes(st2)%StrengthFuncMValue(lm) |
| 1021 |
|
|
coeff = ShapeMap%Shapes(st2)%StrengthFuncCoefficient(lm) |
| 1022 |
|
|
function_type = ShapeMap%Shapes(st2)%StrengthFunctionType(lm) |
| 1023 |
|
|
|
| 1024 |
|
|
if ((function_type .eq. SH_COS).or.(m.eq.0)) then |
| 1025 |
|
|
Phunc = coeff * tm_j(m) |
| 1026 |
|
|
dPhuncdX = coeff * dtm_j(m) * dcpjdx |
| 1027 |
|
|
dPhuncdY = coeff * dtm_j(m) * dcpjdy |
| 1028 |
|
|
dPhuncdZ = coeff * dtm_j(m) * dcpjdz |
| 1029 |
|
|
dPhuncdUz = coeff * dtm_j(m) * dcpjdux |
| 1030 |
|
|
dPhuncdUy = coeff * dtm_j(m) * dcpjduy |
| 1031 |
|
|
dPhuncdUz = coeff * dtm_j(m) * dcpjduz |
| 1032 |
|
|
else |
| 1033 |
|
|
Phunc = coeff * spj * um_j(m-1) |
| 1034 |
|
|
dPhuncdX = coeff * (spj * dum_j(m-1) * dcpjdx + dspjdx *um_j(m-1)) |
| 1035 |
|
|
dPhuncdY = coeff * (spj * dum_j(m-1) * dcpjdy + dspjdy *um_j(m-1)) |
| 1036 |
|
|
dPhuncdZ = coeff * (spj * dum_j(m-1) * dcpjdz + dspjdz *um_j(m-1)) |
| 1037 |
|
|
dPhuncdUx = coeff*(spj * dum_j(m-1)*dcpjdux + dspjdux *um_j(m-1)) |
| 1038 |
|
|
dPhuncdUy = coeff*(spj * dum_j(m-1)*dcpjduy + dspjduy *um_j(m-1)) |
| 1039 |
|
|
dPhuncdUz = coeff*(spj * dum_j(m-1)*dcpjduz + dspjduz *um_j(m-1)) |
| 1040 |
|
|
endif |
| 1041 |
|
|
|
| 1042 |
chrisfen |
2211 |
! write(*,*) 'l,m = ', l, m, coeff, dPhuncdUx, dPhuncdUy, dPhuncdUz |
| 1043 |
chrisfen |
1717 |
|
| 1044 |
chrisfen |
1698 |
eps_j = eps_j + plm_j(m,l)*Phunc |
| 1045 |
gezelter |
2204 |
|
| 1046 |
chrisfen |
1698 |
depsjdx = depsjdx + plm_j(m,l)*dPhuncdX + & |
| 1047 |
|
|
Phunc * dlm_j(m,l) * dctjdx |
| 1048 |
|
|
depsjdy = depsjdy + plm_j(m,l)*dPhuncdY + & |
| 1049 |
|
|
Phunc * dlm_j(m,l) * dctjdy |
| 1050 |
|
|
depsjdz = depsjdz + plm_j(m,l)*dPhuncdZ + & |
| 1051 |
|
|
Phunc * dlm_j(m,l) * dctjdz |
| 1052 |
gezelter |
2204 |
|
| 1053 |
chrisfen |
1698 |
depsjdux = depsjdux + plm_j(m,l)* dPhuncdUx + & |
| 1054 |
|
|
Phunc * dlm_j(m,l) * dctjdux |
| 1055 |
|
|
depsjduy = depsjduy + plm_j(m,l)* dPhuncdUy + & |
| 1056 |
|
|
Phunc * dlm_j(m,l) * dctjduy |
| 1057 |
|
|
depsjduz = depsjduz + plm_j(m,l)* dPhuncdUz + & |
| 1058 |
|
|
Phunc * dlm_j(m,l) * dctjduz |
| 1059 |
gezelter |
1608 |
|
| 1060 |
|
|
end do |
| 1061 |
|
|
|
| 1062 |
|
|
endif |
| 1063 |
|
|
|
| 1064 |
|
|
! phew, now let's assemble the potential energy: |
| 1065 |
|
|
|
| 1066 |
|
|
sigma = 0.5*(sigma_i + sigma_j) |
| 1067 |
chrisfen |
2211 |
! write(*,*) sigma_i, ' = sigma_i; ', sigma_j, ' = sigma_j' |
| 1068 |
gezelter |
1608 |
dsigmadxi = 0.5*dsigmaidx |
| 1069 |
|
|
dsigmadyi = 0.5*dsigmaidy |
| 1070 |
|
|
dsigmadzi = 0.5*dsigmaidz |
| 1071 |
|
|
dsigmaduxi = 0.5*dsigmaidux |
| 1072 |
|
|
dsigmaduyi = 0.5*dsigmaiduy |
| 1073 |
|
|
dsigmaduzi = 0.5*dsigmaiduz |
| 1074 |
|
|
|
| 1075 |
|
|
dsigmadxj = 0.5*dsigmajdx |
| 1076 |
|
|
dsigmadyj = 0.5*dsigmajdy |
| 1077 |
|
|
dsigmadzj = 0.5*dsigmajdz |
| 1078 |
|
|
dsigmaduxj = 0.5*dsigmajdux |
| 1079 |
|
|
dsigmaduyj = 0.5*dsigmajduy |
| 1080 |
|
|
dsigmaduzj = 0.5*dsigmajduz |
| 1081 |
|
|
|
| 1082 |
|
|
s = 0.5*(s_i + s_j) |
| 1083 |
|
|
|
| 1084 |
|
|
dsdxi = 0.5*dsidx |
| 1085 |
|
|
dsdyi = 0.5*dsidy |
| 1086 |
|
|
dsdzi = 0.5*dsidz |
| 1087 |
|
|
dsduxi = 0.5*dsidux |
| 1088 |
|
|
dsduyi = 0.5*dsiduy |
| 1089 |
|
|
dsduzi = 0.5*dsiduz |
| 1090 |
|
|
|
| 1091 |
|
|
dsdxj = 0.5*dsjdx |
| 1092 |
|
|
dsdyj = 0.5*dsjdy |
| 1093 |
|
|
dsdzj = 0.5*dsjdz |
| 1094 |
|
|
dsduxj = 0.5*dsjdux |
| 1095 |
|
|
dsduyj = 0.5*dsjduy |
| 1096 |
|
|
dsduzj = 0.5*dsjduz |
| 1097 |
chrisfen |
1698 |
|
| 1098 |
gezelter |
1608 |
eps = sqrt(eps_i * eps_j) |
| 1099 |
chrisfen |
2214 |
!!$ write(*,*) 'dsidu = ', dsidux, dsiduy, dsiduz |
| 1100 |
|
|
!!$ write(*,*) 'dsigidu = ', dsigmaidux, dsigmaiduy, dsigmaiduz |
| 1101 |
|
|
!!$ write(*,*) sigma_j, ' is sigma j; ', s_j, ' is s j; ', eps_j, ' is eps j' |
| 1102 |
gezelter |
2756 |
depsdxi = eps_j * depsidx / (2.0_dp * eps) |
| 1103 |
|
|
depsdyi = eps_j * depsidy / (2.0_dp * eps) |
| 1104 |
|
|
depsdzi = eps_j * depsidz / (2.0_dp * eps) |
| 1105 |
|
|
depsduxi = eps_j * depsidux / (2.0_dp * eps) |
| 1106 |
|
|
depsduyi = eps_j * depsiduy / (2.0_dp * eps) |
| 1107 |
|
|
depsduzi = eps_j * depsiduz / (2.0_dp * eps) |
| 1108 |
gezelter |
1608 |
|
| 1109 |
gezelter |
2756 |
depsdxj = eps_i * depsjdx / (2.0_dp * eps) |
| 1110 |
|
|
depsdyj = eps_i * depsjdy / (2.0_dp * eps) |
| 1111 |
|
|
depsdzj = eps_i * depsjdz / (2.0_dp * eps) |
| 1112 |
|
|
depsduxj = eps_i * depsjdux / (2.0_dp * eps) |
| 1113 |
|
|
depsduyj = eps_i * depsjduy / (2.0_dp * eps) |
| 1114 |
|
|
depsduzj = eps_i * depsjduz / (2.0_dp * eps) |
| 1115 |
gezelter |
2204 |
|
| 1116 |
chrisfen |
2214 |
!!$ write(*,*) 'depsidu = ', depsidux, depsiduy, depsiduz |
| 1117 |
chrisfen |
2211 |
|
| 1118 |
chrisfen |
2214 |
!!$ write(*,*) 'depsjdu = ', depsjdux, depsjduy, depsjduz |
| 1119 |
|
|
!!$ write(*,*) 'depsduj = ', depsduxj, depsduyj, depsduzj |
| 1120 |
chrisfen |
1717 |
!!$ |
| 1121 |
|
|
!!$ write(*,*) 's, sig, eps = ', s, sigma, eps |
| 1122 |
|
|
|
| 1123 |
gezelter |
1608 |
rtdenom = rij-sigma+s |
| 1124 |
|
|
rt = s / rtdenom |
| 1125 |
|
|
|
| 1126 |
chrisfen |
2214 |
drtdxi = (dsdxi - rt * (drdxi - dsigmadxi + dsdxi)) / rtdenom |
| 1127 |
|
|
drtdyi = (dsdyi - rt * (drdyi - dsigmadyi + dsdyi)) / rtdenom |
| 1128 |
|
|
drtdzi = (dsdzi - rt * (drdzi - dsigmadzi + dsdzi)) / rtdenom |
| 1129 |
|
|
drtduxi = (dsduxi - rt * (drduxi - dsigmaduxi + dsduxi)) / rtdenom |
| 1130 |
|
|
drtduyi = (dsduyi - rt * (drduyi - dsigmaduyi + dsduyi)) / rtdenom |
| 1131 |
|
|
drtduzi = (dsduzi - rt * (drduzi - dsigmaduzi + dsduzi)) / rtdenom |
| 1132 |
|
|
drtdxj = (dsdxj - rt * (drdxj - dsigmadxj + dsdxj)) / rtdenom |
| 1133 |
|
|
drtdyj = (dsdyj - rt * (drdyj - dsigmadyj + dsdyj)) / rtdenom |
| 1134 |
|
|
drtdzj = (dsdzj - rt * (drdzj - dsigmadzj + dsdzj)) / rtdenom |
| 1135 |
|
|
drtduxj = (dsduxj - rt * (drduxj - dsigmaduxj + dsduxj)) / rtdenom |
| 1136 |
|
|
drtduyj = (dsduyj - rt * (drduyj - dsigmaduyj + dsduyj)) / rtdenom |
| 1137 |
|
|
drtduzj = (dsduzj - rt * (drduzj - dsigmaduzj + dsduzj)) / rtdenom |
| 1138 |
gezelter |
2204 |
|
| 1139 |
chrisfen |
2214 |
!!$ write(*,*) 'drtd_i = ', drtdxi, drtdyi, drtdzi |
| 1140 |
|
|
!!$ write(*,*) 'drtdu_j = ', drtduxj, drtduyj, drtduzj |
| 1141 |
chrisfen |
2211 |
|
| 1142 |
gezelter |
1608 |
rt2 = rt*rt |
| 1143 |
|
|
rt3 = rt2*rt |
| 1144 |
|
|
rt5 = rt2*rt3 |
| 1145 |
|
|
rt6 = rt3*rt3 |
| 1146 |
|
|
rt11 = rt5*rt6 |
| 1147 |
|
|
rt12 = rt6*rt6 |
| 1148 |
|
|
rt126 = rt12 - rt6 |
| 1149 |
|
|
|
| 1150 |
gezelter |
2756 |
pot_temp = 4.0_dp * eps * rt126 |
| 1151 |
chrisfen |
1717 |
|
| 1152 |
|
|
vpair = vpair + pot_temp |
| 1153 |
gezelter |
1608 |
if (do_pot) then |
| 1154 |
|
|
#ifdef IS_MPI |
| 1155 |
gezelter |
2756 |
pot_row(VDW_POT,atom1) = pot_row(VDW_POT,atom1) + 0.5_dp*pot_temp*sw |
| 1156 |
|
|
pot_col(VDW_POT,atom2) = pot_col(VDW_POT,atom2) + 0.5_dp*pot_temp*sw |
| 1157 |
gezelter |
1608 |
#else |
| 1158 |
chrisfen |
1717 |
pot = pot + pot_temp*sw |
| 1159 |
gezelter |
1608 |
#endif |
| 1160 |
|
|
endif |
| 1161 |
chrisfen |
1717 |
|
| 1162 |
|
|
!!$ write(*,*) 'drtdu, depsdu = ', drtduxi, depsduxi |
| 1163 |
gezelter |
2204 |
|
| 1164 |
gezelter |
2756 |
dvdxi = 24.0_dp*eps*(2.0_dp*rt11 - rt5)*drtdxi + 4.0_dp*depsdxi*rt126 |
| 1165 |
|
|
dvdyi = 24.0_dp*eps*(2.0_dp*rt11 - rt5)*drtdyi + 4.0_dp*depsdyi*rt126 |
| 1166 |
|
|
dvdzi = 24.0_dp*eps*(2.0_dp*rt11 - rt5)*drtdzi + 4.0_dp*depsdzi*rt126 |
| 1167 |
|
|
dvduxi = 24.0_dp*eps*(2.0_dp*rt11 - rt5)*drtduxi + 4.0_dp*depsduxi*rt126 |
| 1168 |
|
|
dvduyi = 24.0_dp*eps*(2.0_dp*rt11 - rt5)*drtduyi + 4.0_dp*depsduyi*rt126 |
| 1169 |
|
|
dvduzi = 24.0_dp*eps*(2.0_dp*rt11 - rt5)*drtduzi + 4.0_dp*depsduzi*rt126 |
| 1170 |
gezelter |
1608 |
|
| 1171 |
gezelter |
2756 |
dvdxj = 24.0_dp*eps*(2.0_dp*rt11 - rt5)*drtdxj + 4.0_dp*depsdxj*rt126 |
| 1172 |
|
|
dvdyj = 24.0_dp*eps*(2.0_dp*rt11 - rt5)*drtdyj + 4.0_dp*depsdyj*rt126 |
| 1173 |
|
|
dvdzj = 24.0_dp*eps*(2.0_dp*rt11 - rt5)*drtdzj + 4.0_dp*depsdzj*rt126 |
| 1174 |
|
|
dvduxj = 24.0_dp*eps*(2.0_dp*rt11 - rt5)*drtduxj + 4.0_dp*depsduxj*rt126 |
| 1175 |
|
|
dvduyj = 24.0_dp*eps*(2.0_dp*rt11 - rt5)*drtduyj + 4.0_dp*depsduyj*rt126 |
| 1176 |
|
|
dvduzj = 24.0_dp*eps*(2.0_dp*rt11 - rt5)*drtduzj + 4.0_dp*depsduzj*rt126 |
| 1177 |
chrisfen |
2214 |
!!$ write(*,*) 'drtduxi = ', drtduxi, ' depsduxi = ', depsduxi |
| 1178 |
gezelter |
1608 |
! do the torques first since they are easy: |
| 1179 |
|
|
! remember that these are still in the body fixed axes |
| 1180 |
|
|
|
| 1181 |
gezelter |
2756 |
txi = 0.0_dp |
| 1182 |
|
|
tyi = 0.0_dp |
| 1183 |
|
|
tzi = 0.0_dp |
| 1184 |
gezelter |
1707 |
|
| 1185 |
gezelter |
2756 |
txj = 0.0_dp |
| 1186 |
|
|
tyj = 0.0_dp |
| 1187 |
|
|
tzj = 0.0_dp |
| 1188 |
gezelter |
1608 |
|
| 1189 |
chrisfen |
2214 |
txi = (dvduyi - dvduzi) * sw |
| 1190 |
|
|
tyi = (dvduzi - dvduxi) * sw |
| 1191 |
|
|
tzi = (dvduxi - dvduyi) * sw |
| 1192 |
gezelter |
1608 |
|
| 1193 |
chrisfen |
2214 |
txj = (dvduyj - dvduzj) * sw |
| 1194 |
|
|
tyj = (dvduzj - dvduxj) * sw |
| 1195 |
|
|
tzj = (dvduxj - dvduyj) * sw |
| 1196 |
gezelter |
2204 |
|
| 1197 |
chrisfen |
2214 |
!!$ txi = dvduxi * sw |
| 1198 |
|
|
!!$ tyi = dvduyi * sw |
| 1199 |
|
|
!!$ tzi = dvduzi * sw |
| 1200 |
|
|
!!$ |
| 1201 |
|
|
!!$ txj = dvduxj * sw |
| 1202 |
|
|
!!$ tyj = dvduyj * sw |
| 1203 |
|
|
!!$ tzj = dvduzj * sw |
| 1204 |
chrisfen |
2211 |
|
| 1205 |
chrisfen |
1717 |
write(*,*) 't1 = ', txi, tyi, tzi |
| 1206 |
|
|
write(*,*) 't2 = ', txj, tyj, tzj |
| 1207 |
|
|
|
| 1208 |
gezelter |
1608 |
! go back to lab frame using transpose of rotation matrix: |
| 1209 |
gezelter |
2204 |
|
| 1210 |
gezelter |
1608 |
#ifdef IS_MPI |
| 1211 |
|
|
t_Row(1,atom1) = t_Row(1,atom1) + a_Row(1,atom1)*txi + & |
| 1212 |
|
|
a_Row(4,atom1)*tyi + a_Row(7,atom1)*tzi |
| 1213 |
|
|
t_Row(2,atom1) = t_Row(2,atom1) + a_Row(2,atom1)*txi + & |
| 1214 |
|
|
a_Row(5,atom1)*tyi + a_Row(8,atom1)*tzi |
| 1215 |
|
|
t_Row(3,atom1) = t_Row(3,atom1) + a_Row(3,atom1)*txi + & |
| 1216 |
|
|
a_Row(6,atom1)*tyi + a_Row(9,atom1)*tzi |
| 1217 |
gezelter |
2204 |
|
| 1218 |
gezelter |
1608 |
t_Col(1,atom2) = t_Col(1,atom2) + a_Col(1,atom2)*txj + & |
| 1219 |
|
|
a_Col(4,atom2)*tyj + a_Col(7,atom2)*tzj |
| 1220 |
|
|
t_Col(2,atom2) = t_Col(2,atom2) + a_Col(2,atom2)*txj + & |
| 1221 |
gezelter |
2204 |
a_Col(5,atom2)*tyj + a_Col(8,atom2)*tzj |
| 1222 |
gezelter |
1608 |
t_Col(3,atom2) = t_Col(3,atom2) + a_Col(3,atom2)*txj + & |
| 1223 |
|
|
a_Col(6,atom2)*tyj + a_Col(9,atom2)*tzj |
| 1224 |
|
|
#else |
| 1225 |
|
|
t(1,atom1) = t(1,atom1) + a(1,atom1)*txi + a(4,atom1)*tyi + a(7,atom1)*tzi |
| 1226 |
|
|
t(2,atom1) = t(2,atom1) + a(2,atom1)*txi + a(5,atom1)*tyi + a(8,atom1)*tzi |
| 1227 |
|
|
t(3,atom1) = t(3,atom1) + a(3,atom1)*txi + a(6,atom1)*tyi + a(9,atom1)*tzi |
| 1228 |
gezelter |
2204 |
|
| 1229 |
gezelter |
1608 |
t(1,atom2) = t(1,atom2) + a(1,atom2)*txj + a(4,atom2)*tyj + a(7,atom2)*tzj |
| 1230 |
|
|
t(2,atom2) = t(2,atom2) + a(2,atom2)*txj + a(5,atom2)*tyj + a(8,atom2)*tzj |
| 1231 |
|
|
t(3,atom2) = t(3,atom2) + a(3,atom2)*txj + a(6,atom2)*tyj + a(9,atom2)*tzj |
| 1232 |
chrisfen |
2214 |
|
| 1233 |
gezelter |
1608 |
#endif |
| 1234 |
|
|
! Now, on to the forces: |
| 1235 |
gezelter |
2204 |
|
| 1236 |
gezelter |
1608 |
! first rotate the i terms back into the lab frame: |
| 1237 |
gezelter |
2204 |
|
| 1238 |
chrisfen |
2214 |
fxi = -dvdxi * sw |
| 1239 |
|
|
fyi = -dvdyi * sw |
| 1240 |
|
|
fzi = -dvdzi * sw |
| 1241 |
gezelter |
1608 |
|
| 1242 |
chrisfen |
2214 |
fxj = -dvdxj * sw |
| 1243 |
|
|
fyj = -dvdyj * sw |
| 1244 |
|
|
fzj = -dvdzj * sw |
| 1245 |
gezelter |
1608 |
|
| 1246 |
chrisfen |
2211 |
|
| 1247 |
gezelter |
1608 |
#ifdef IS_MPI |
| 1248 |
|
|
fxii = a_Row(1,atom1)*fxi + a_Row(4,atom1)*fyi + a_Row(7,atom1)*fzi |
| 1249 |
|
|
fyii = a_Row(2,atom1)*fxi + a_Row(5,atom1)*fyi + a_Row(8,atom1)*fzi |
| 1250 |
|
|
fzii = a_Row(3,atom1)*fxi + a_Row(6,atom1)*fyi + a_Row(9,atom1)*fzi |
| 1251 |
|
|
|
| 1252 |
|
|
fxjj = a_Col(1,atom2)*fxj + a_Col(4,atom2)*fyj + a_Col(7,atom2)*fzj |
| 1253 |
|
|
fyjj = a_Col(2,atom2)*fxj + a_Col(5,atom2)*fyj + a_Col(8,atom2)*fzj |
| 1254 |
|
|
fzjj = a_Col(3,atom2)*fxj + a_Col(6,atom2)*fyj + a_Col(9,atom2)*fzj |
| 1255 |
|
|
#else |
| 1256 |
|
|
fxii = a(1,atom1)*fxi + a(4,atom1)*fyi + a(7,atom1)*fzi |
| 1257 |
|
|
fyii = a(2,atom1)*fxi + a(5,atom1)*fyi + a(8,atom1)*fzi |
| 1258 |
|
|
fzii = a(3,atom1)*fxi + a(6,atom1)*fyi + a(9,atom1)*fzi |
| 1259 |
gezelter |
2204 |
|
| 1260 |
gezelter |
1608 |
fxjj = a(1,atom2)*fxj + a(4,atom2)*fyj + a(7,atom2)*fzj |
| 1261 |
|
|
fyjj = a(2,atom2)*fxj + a(5,atom2)*fyj + a(8,atom2)*fzj |
| 1262 |
|
|
fzjj = a(3,atom2)*fxj + a(6,atom2)*fyj + a(9,atom2)*fzj |
| 1263 |
|
|
#endif |
| 1264 |
|
|
|
| 1265 |
|
|
fxij = -fxii |
| 1266 |
|
|
fyij = -fyii |
| 1267 |
|
|
fzij = -fzii |
| 1268 |
gezelter |
2204 |
|
| 1269 |
gezelter |
1608 |
fxji = -fxjj |
| 1270 |
|
|
fyji = -fyjj |
| 1271 |
|
|
fzji = -fzjj |
| 1272 |
|
|
|
| 1273 |
chrisfen |
2214 |
fxradial = (fxii + fxji) |
| 1274 |
|
|
fyradial = (fyii + fyji) |
| 1275 |
|
|
fzradial = (fzii + fzji) |
| 1276 |
|
|
!!$ write(*,*) fxradial, ' is fxrad; ', fyradial, ' is fyrad; ', fzradial, 'is fzrad' |
| 1277 |
gezelter |
1608 |
#ifdef IS_MPI |
| 1278 |
|
|
f_Row(1,atom1) = f_Row(1,atom1) + fxradial |
| 1279 |
|
|
f_Row(2,atom1) = f_Row(2,atom1) + fyradial |
| 1280 |
|
|
f_Row(3,atom1) = f_Row(3,atom1) + fzradial |
| 1281 |
gezelter |
2204 |
|
| 1282 |
gezelter |
1608 |
f_Col(1,atom2) = f_Col(1,atom2) - fxradial |
| 1283 |
|
|
f_Col(2,atom2) = f_Col(2,atom2) - fyradial |
| 1284 |
|
|
f_Col(3,atom2) = f_Col(3,atom2) - fzradial |
| 1285 |
|
|
#else |
| 1286 |
|
|
f(1,atom1) = f(1,atom1) + fxradial |
| 1287 |
|
|
f(2,atom1) = f(2,atom1) + fyradial |
| 1288 |
|
|
f(3,atom1) = f(3,atom1) + fzradial |
| 1289 |
gezelter |
2204 |
|
| 1290 |
gezelter |
1608 |
f(1,atom2) = f(1,atom2) - fxradial |
| 1291 |
|
|
f(2,atom2) = f(2,atom2) - fyradial |
| 1292 |
|
|
f(3,atom2) = f(3,atom2) - fzradial |
| 1293 |
|
|
#endif |
| 1294 |
|
|
|
| 1295 |
|
|
#ifdef IS_MPI |
| 1296 |
|
|
id1 = AtomRowToGlobal(atom1) |
| 1297 |
|
|
id2 = AtomColToGlobal(atom2) |
| 1298 |
|
|
#else |
| 1299 |
|
|
id1 = atom1 |
| 1300 |
|
|
id2 = atom2 |
| 1301 |
|
|
#endif |
| 1302 |
gezelter |
2204 |
|
| 1303 |
gezelter |
1608 |
if (molMembershipList(id1) .ne. molMembershipList(id2)) then |
| 1304 |
gezelter |
2204 |
|
| 1305 |
gezelter |
1608 |
fpair(1) = fpair(1) + fxradial |
| 1306 |
|
|
fpair(2) = fpair(2) + fyradial |
| 1307 |
|
|
fpair(3) = fpair(3) + fzradial |
| 1308 |
gezelter |
2204 |
|
| 1309 |
gezelter |
1608 |
endif |
| 1310 |
gezelter |
1707 |
|
| 1311 |
gezelter |
1608 |
end subroutine do_shape_pair |
| 1312 |
gezelter |
2204 |
|
| 1313 |
chrisfen |
1689 |
SUBROUTINE Associated_Legendre(x, l, m, lmax, plm, dlm) |
| 1314 |
|
|
|
| 1315 |
gezelter |
1608 |
! Purpose: Compute the associated Legendre functions |
| 1316 |
|
|
! Plm(x) and their derivatives Plm'(x) |
| 1317 |
|
|
! Input : x --- Argument of Plm(x) |
| 1318 |
|
|
! l --- Order of Plm(x), l = 0,1,2,...,n |
| 1319 |
|
|
! m --- Degree of Plm(x), m = 0,1,2,...,N |
| 1320 |
|
|
! lmax --- Physical dimension of PLM and DLM |
| 1321 |
|
|
! Output: PLM(l,m) --- Plm(x) |
| 1322 |
|
|
! DLM(l,m) --- Plm'(x) |
| 1323 |
|
|
! |
| 1324 |
|
|
! adapted from the routines in |
| 1325 |
|
|
! COMPUTATION OF SPECIAL FUNCTIONS by Shanjie Zhang and Jianming Jin |
| 1326 |
|
|
! ISBN 0-471-11963-6 |
| 1327 |
|
|
! |
| 1328 |
|
|
! The original Fortran77 codes can be found here: |
| 1329 |
|
|
! http://iris-lee3.ece.uiuc.edu/~jjin/routines/routines.html |
| 1330 |
gezelter |
2204 |
|
| 1331 |
chrisfen |
1689 |
real (kind=dp), intent(in) :: x |
| 1332 |
gezelter |
1608 |
integer, intent(in) :: l, m, lmax |
| 1333 |
chrisfen |
1689 |
real (kind=dp), dimension(0:lmax,0:m), intent(out) :: PLM, DLM |
| 1334 |
gezelter |
1608 |
integer :: i, j, ls |
| 1335 |
chrisfen |
1689 |
real (kind=dp) :: xq, xs |
| 1336 |
gezelter |
1608 |
|
| 1337 |
|
|
! zero out both arrays: |
| 1338 |
|
|
DO I = 0, m |
| 1339 |
|
|
DO J = 0, l |
| 1340 |
chrisfen |
1689 |
PLM(J,I) = 0.0_dp |
| 1341 |
|
|
DLM(J,I) = 0.0_dp |
| 1342 |
gezelter |
1608 |
end DO |
| 1343 |
|
|
end DO |
| 1344 |
|
|
|
| 1345 |
|
|
! start with 0,0: |
| 1346 |
gezelter |
2756 |
PLM(0,0) = 1.0_DP |
| 1347 |
gezelter |
2204 |
|
| 1348 |
gezelter |
1608 |
! x = +/- 1 functions are easy: |
| 1349 |
gezelter |
2756 |
IF (abs(X).EQ.1.0_DP) THEN |
| 1350 |
gezelter |
1608 |
DO I = 1, m |
| 1351 |
|
|
PLM(0, I) = X**I |
| 1352 |
gezelter |
2756 |
DLM(0, I) = 0.5_DP*I*(I+1.0_DP)*X**(I+1) |
| 1353 |
gezelter |
1608 |
end DO |
| 1354 |
|
|
DO J = 1, m |
| 1355 |
|
|
DO I = 1, l |
| 1356 |
|
|
IF (I.EQ.1) THEN |
| 1357 |
|
|
DLM(I, J) = 1.0D+300 |
| 1358 |
|
|
ELSE IF (I.EQ.2) THEN |
| 1359 |
gezelter |
2756 |
DLM(I, J) = -0.25_DP*(J+2)*(J+1)*J*(J-1)*X**(J+1) |
| 1360 |
gezelter |
1608 |
ENDIF |
| 1361 |
|
|
end DO |
| 1362 |
|
|
end DO |
| 1363 |
|
|
RETURN |
| 1364 |
|
|
ENDIF |
| 1365 |
|
|
|
| 1366 |
|
|
LS = 1 |
| 1367 |
gezelter |
2756 |
IF (abs(X).GT.1.0_DP) LS = -1 |
| 1368 |
|
|
XQ = sqrt(LS*(1.0_DP-X*X)) |
| 1369 |
|
|
XS = LS*(1.0_DP-X*X) |
| 1370 |
gezelter |
1608 |
|
| 1371 |
|
|
DO I = 1, l |
| 1372 |
gezelter |
2756 |
PLM(I, I) = -LS*(2.0_DP*I-1.0_DP)*XQ*PLM(I-1, I-1) |
| 1373 |
gezelter |
1608 |
enddo |
| 1374 |
chrisfen |
1689 |
|
| 1375 |
gezelter |
1608 |
DO I = 0, l |
| 1376 |
gezelter |
2756 |
PLM(I, I+1)=(2.0_DP*I+1.0_DP)*X*PLM(I, I) |
| 1377 |
gezelter |
1608 |
enddo |
| 1378 |
chrisfen |
1689 |
|
| 1379 |
gezelter |
1608 |
DO I = 0, l |
| 1380 |
|
|
DO J = I+2, m |
| 1381 |
gezelter |
2756 |
PLM(I, J)=((2.0_DP*J-1.0_DP)*X*PLM(I,J-1) - & |
| 1382 |
|
|
(I+J-1.0_DP)*PLM(I,J-2))/(J-I) |
| 1383 |
gezelter |
1608 |
end DO |
| 1384 |
|
|
end DO |
| 1385 |
chrisfen |
1689 |
|
| 1386 |
gezelter |
2756 |
DLM(0, 0)=0.0_DP |
| 1387 |
gezelter |
1608 |
DO J = 1, m |
| 1388 |
|
|
DLM(0, J)=LS*J*(PLM(0,J-1)-X*PLM(0,J))/XS |
| 1389 |
|
|
end DO |
| 1390 |
chrisfen |
1689 |
|
| 1391 |
gezelter |
1608 |
DO I = 1, l |
| 1392 |
|
|
DO J = I, m |
| 1393 |
gezelter |
2756 |
DLM(I,J) = LS*I*X*PLM(I, J)/XS + (J+I)*(J-I+1.0_DP)/XQ*PLM(I-1, J) |
| 1394 |
gezelter |
1608 |
end DO |
| 1395 |
|
|
end DO |
| 1396 |
chrisfen |
1689 |
|
| 1397 |
gezelter |
1608 |
RETURN |
| 1398 |
|
|
END SUBROUTINE Associated_Legendre |
| 1399 |
|
|
|
| 1400 |
|
|
|
| 1401 |
chrisfen |
1689 |
subroutine Orthogonal_Polynomial(x, m, mmax, function_type, pl, dpl) |
| 1402 |
gezelter |
2204 |
|
| 1403 |
gezelter |
1608 |
! Purpose: Compute orthogonal polynomials: Tn(x) or Un(x), |
| 1404 |
|
|
! or Ln(x) or Hn(x), and their derivatives |
| 1405 |
|
|
! Input : function_type --- Function code |
| 1406 |
|
|
! =1 for Chebyshev polynomial Tn(x) |
| 1407 |
|
|
! =2 for Chebyshev polynomial Un(x) |
| 1408 |
|
|
! =3 for Laguerre polynomial Ln(x) |
| 1409 |
|
|
! =4 for Hermite polynomial Hn(x) |
| 1410 |
|
|
! n --- Order of orthogonal polynomials |
| 1411 |
|
|
! x --- Argument of orthogonal polynomials |
| 1412 |
|
|
! Output: PL(n) --- Tn(x) or Un(x) or Ln(x) or Hn(x) |
| 1413 |
|
|
! DPL(n)--- Tn'(x) or Un'(x) or Ln'(x) or Hn'(x) |
| 1414 |
|
|
! |
| 1415 |
|
|
! adapted from the routines in |
| 1416 |
|
|
! COMPUTATION OF SPECIAL FUNCTIONS by Shanjie Zhang and Jianming Jin |
| 1417 |
|
|
! ISBN 0-471-11963-6 |
| 1418 |
|
|
! |
| 1419 |
|
|
! The original Fortran77 codes can be found here: |
| 1420 |
|
|
! http://iris-lee3.ece.uiuc.edu/~jjin/routines/routines.html |
| 1421 |
gezelter |
2204 |
|
| 1422 |
gezelter |
1608 |
real(kind=8), intent(in) :: x |
| 1423 |
chrisfen |
1689 |
integer, intent(in):: m, mmax |
| 1424 |
gezelter |
1608 |
integer, intent(in):: function_type |
| 1425 |
chrisfen |
1689 |
real(kind=8), dimension(0:mmax), intent(inout) :: pl, dpl |
| 1426 |
gezelter |
2204 |
|
| 1427 |
gezelter |
1608 |
real(kind=8) :: a, b, c, y0, y1, dy0, dy1, yn, dyn |
| 1428 |
|
|
integer :: k |
| 1429 |
|
|
|
| 1430 |
gezelter |
2756 |
A = 2.0_DP |
| 1431 |
|
|
B = 0.0_DP |
| 1432 |
|
|
C = 1.0_DP |
| 1433 |
|
|
Y0 = 1.0_DP |
| 1434 |
|
|
Y1 = 2.0_DP*X |
| 1435 |
|
|
DY0 = 0.0_DP |
| 1436 |
|
|
DY1 = 2.0_DP |
| 1437 |
|
|
PL(0) = 1.0_DP |
| 1438 |
|
|
PL(1) = 2.0_DP*X |
| 1439 |
|
|
DPL(0) = 0.0_DP |
| 1440 |
|
|
DPL(1) = 2.0_DP |
| 1441 |
gezelter |
1608 |
IF (function_type.EQ.CHEBYSHEV_TN) THEN |
| 1442 |
|
|
Y1 = X |
| 1443 |
gezelter |
2756 |
DY1 = 1.0_DP |
| 1444 |
gezelter |
1608 |
PL(1) = X |
| 1445 |
gezelter |
2756 |
DPL(1) = 1.0_DP |
| 1446 |
gezelter |
1608 |
ELSE IF (function_type.EQ.LAGUERRE) THEN |
| 1447 |
gezelter |
2756 |
Y1 = 1.0_DP-X |
| 1448 |
|
|
DY1 = -1.0_DP |
| 1449 |
|
|
PL(1) = 1.0_DP-X |
| 1450 |
|
|
DPL(1) = -1.0_DP |
| 1451 |
gezelter |
1608 |
ENDIF |
| 1452 |
|
|
DO K = 2, m |
| 1453 |
|
|
IF (function_type.EQ.LAGUERRE) THEN |
| 1454 |
gezelter |
2756 |
A = -1.0_DP/K |
| 1455 |
|
|
B = 2.0_DP+A |
| 1456 |
|
|
C = 1.0_DP+A |
| 1457 |
gezelter |
1608 |
ELSE IF (function_type.EQ.HERMITE) THEN |
| 1458 |
gezelter |
2756 |
C = 2.0_DP*(K-1.0_DP) |
| 1459 |
gezelter |
1608 |
ENDIF |
| 1460 |
|
|
YN = (A*X+B)*Y1-C*Y0 |
| 1461 |
|
|
DYN = A*Y1+(A*X+B)*DY1-C*DY0 |
| 1462 |
|
|
PL(K) = YN |
| 1463 |
|
|
DPL(K) = DYN |
| 1464 |
|
|
Y0 = Y1 |
| 1465 |
|
|
Y1 = YN |
| 1466 |
|
|
DY0 = DY1 |
| 1467 |
|
|
DY1 = DYN |
| 1468 |
|
|
end DO |
| 1469 |
chrisfen |
1698 |
|
| 1470 |
|
|
|
| 1471 |
gezelter |
1608 |
RETURN |
| 1472 |
gezelter |
2204 |
|
| 1473 |
gezelter |
1608 |
end subroutine Orthogonal_Polynomial |
| 1474 |
gezelter |
2204 |
|
| 1475 |
chuckv |
2188 |
subroutine deallocateShapes(this) |
| 1476 |
|
|
type(Shape), pointer :: this |
| 1477 |
|
|
|
| 1478 |
gezelter |
2204 |
if (associated( this%ContactFuncLValue)) then |
| 1479 |
|
|
deallocate(this%ContactFuncLValue) |
| 1480 |
|
|
this%ContactFuncLValue => null() |
| 1481 |
|
|
end if |
| 1482 |
chuckv |
2188 |
|
| 1483 |
gezelter |
2204 |
if (associated( this%ContactFuncMValue)) then |
| 1484 |
|
|
deallocate( this%ContactFuncMValue) |
| 1485 |
|
|
this%ContactFuncMValue => null() |
| 1486 |
|
|
end if |
| 1487 |
|
|
if (associated( this%ContactFunctionType)) then |
| 1488 |
|
|
deallocate(this%ContactFunctionType) |
| 1489 |
|
|
this%ContactFunctionType => null() |
| 1490 |
|
|
end if |
| 1491 |
chuckv |
2188 |
|
| 1492 |
gezelter |
2204 |
if (associated( this%ContactFuncCoefficient)) then |
| 1493 |
|
|
deallocate(this%ContactFuncCoefficient) |
| 1494 |
|
|
this%ContactFuncCoefficient => null() |
| 1495 |
|
|
end if |
| 1496 |
chuckv |
2188 |
|
| 1497 |
gezelter |
2204 |
if (associated( this%RangeFuncLValue)) then |
| 1498 |
|
|
deallocate(this%RangeFuncLValue) |
| 1499 |
|
|
this%RangeFuncLValue => null() |
| 1500 |
|
|
end if |
| 1501 |
|
|
if (associated( this%RangeFuncMValue)) then |
| 1502 |
|
|
deallocate( this%RangeFuncMValue) |
| 1503 |
|
|
this%RangeFuncMValue => null() |
| 1504 |
|
|
end if |
| 1505 |
chuckv |
2188 |
|
| 1506 |
gezelter |
2204 |
if (associated( this%RangeFunctionType)) then |
| 1507 |
|
|
deallocate( this%RangeFunctionType) |
| 1508 |
|
|
this%RangeFunctionType => null() |
| 1509 |
|
|
end if |
| 1510 |
chuckv |
2188 |
if (associated( this%RangeFuncCoefficient)) then |
| 1511 |
|
|
deallocate(this%RangeFuncCoefficient) |
| 1512 |
|
|
this%RangeFuncCoefficient => null() |
| 1513 |
|
|
end if |
| 1514 |
|
|
|
| 1515 |
|
|
if (associated( this%StrengthFuncLValue)) then |
| 1516 |
|
|
deallocate(this%StrengthFuncLValue) |
| 1517 |
|
|
this%StrengthFuncLValue => null() |
| 1518 |
|
|
end if |
| 1519 |
|
|
|
| 1520 |
|
|
if (associated( this%StrengthFuncMValue )) then |
| 1521 |
|
|
deallocate(this%StrengthFuncMValue) |
| 1522 |
|
|
this%StrengthFuncMValue => null() |
| 1523 |
|
|
end if |
| 1524 |
|
|
|
| 1525 |
|
|
if(associated( this%StrengthFunctionType)) then |
| 1526 |
|
|
deallocate(this%StrengthFunctionType) |
| 1527 |
|
|
this%StrengthFunctionType => null() |
| 1528 |
|
|
end if |
| 1529 |
|
|
if (associated( this%StrengthFuncCoefficient )) then |
| 1530 |
|
|
deallocate(this%StrengthFuncCoefficient) |
| 1531 |
|
|
this%StrengthFuncCoefficient => null() |
| 1532 |
|
|
end if |
| 1533 |
|
|
end subroutine deallocateShapes |
| 1534 |
|
|
|
| 1535 |
|
|
subroutine destroyShapeTypes |
| 1536 |
|
|
integer :: i |
| 1537 |
|
|
type(Shape), pointer :: thisShape |
| 1538 |
|
|
|
| 1539 |
gezelter |
2204 |
! First walk through and kill the shape |
| 1540 |
chuckv |
2188 |
do i = 1,ShapeMap%n_shapes |
| 1541 |
|
|
thisShape => ShapeMap%Shapes(i) |
| 1542 |
|
|
call deallocateShapes(thisShape) |
| 1543 |
|
|
end do |
| 1544 |
gezelter |
2204 |
|
| 1545 |
chuckv |
2188 |
! set shape map to starting values |
| 1546 |
|
|
ShapeMap%n_shapes = 0 |
| 1547 |
|
|
ShapeMap%currentShape = 0 |
| 1548 |
gezelter |
2204 |
|
| 1549 |
|
|
if (associated(ShapeMap%Shapes)) then |
| 1550 |
chuckv |
2188 |
deallocate(ShapeMap%Shapes) |
| 1551 |
|
|
ShapeMap%Shapes => null() |
| 1552 |
|
|
end if |
| 1553 |
|
|
|
| 1554 |
|
|
if (associated(ShapeMap%atidToShape)) then |
| 1555 |
|
|
deallocate(ShapeMap%atidToShape) |
| 1556 |
|
|
ShapeMap%atidToShape => null() |
| 1557 |
|
|
end if |
| 1558 |
|
|
|
| 1559 |
|
|
|
| 1560 |
|
|
end subroutine destroyShapeTypes |
| 1561 |
|
|
|
| 1562 |
gezelter |
2204 |
|
| 1563 |
gezelter |
1608 |
end module shapes |
