| 1 | module eam | 
| 2 | use definitions, ONLY : DP,default_error | 
| 3 | use simulation | 
| 4 | use force_globals | 
| 5 | use status | 
| 6 | use atype_module | 
| 7 | use Vector_class | 
| 8 | #ifdef IS_MPI | 
| 9 | use mpiSimulation | 
| 10 | #endif | 
| 11 | implicit none | 
| 12 | PRIVATE | 
| 13 |  | 
| 14 |  | 
| 15 | logical, save :: EAM_FF_initialized = .false. | 
| 16 | integer, save :: EAM_Mixing_Policy | 
| 17 | real(kind = dp), save :: EAM_rcut | 
| 18 | real(kind = dp), save :: EAM_rcut_orig | 
| 19 |  | 
| 20 | character(len = statusMsgSize) :: errMesg | 
| 21 | integer :: eam_err | 
| 22 |  | 
| 23 | character(len = 200) :: errMsg | 
| 24 | character(len=*), parameter :: RoutineName =  "EAM MODULE" | 
| 25 | !! Logical that determines if eam arrays should be zeroed | 
| 26 | logical :: cleanme = .true. | 
| 27 | logical :: nmflag  = .false. | 
| 28 |  | 
| 29 |  | 
| 30 | type, private :: EAMtype | 
| 31 | integer           :: eam_atype | 
| 32 | real( kind = DP ) :: eam_dr | 
| 33 | integer           :: eam_nr | 
| 34 | integer           :: eam_nrho | 
| 35 | real( kind = DP ) :: eam_lattice | 
| 36 | real( kind = DP ) :: eam_drho | 
| 37 | real( kind = DP ) :: eam_rcut | 
| 38 | integer           :: eam_atype_map | 
| 39 |  | 
| 40 | real( kind = DP ), pointer, dimension(:) :: eam_rvals        => null() | 
| 41 | real( kind = DP ), pointer, dimension(:) :: eam_rhovals      => null() | 
| 42 | real( kind = DP ), pointer, dimension(:) :: eam_F_rho        => null() | 
| 43 | real( kind = DP ), pointer, dimension(:) :: eam_Z_r          => null() | 
| 44 | real( kind = DP ), pointer, dimension(:) :: eam_rho_r        => null() | 
| 45 | real( kind = DP ), pointer, dimension(:) :: eam_phi_r        => null() | 
| 46 | real( kind = DP ), pointer, dimension(:) :: eam_F_rho_pp     => null() | 
| 47 | real( kind = DP ), pointer, dimension(:) :: eam_Z_r_pp       => null() | 
| 48 | real( kind = DP ), pointer, dimension(:) :: eam_rho_r_pp     => null() | 
| 49 | real( kind = DP ), pointer, dimension(:) :: eam_phi_r_pp     => null() | 
| 50 | end type EAMtype | 
| 51 |  | 
| 52 |  | 
| 53 | !! Arrays for derivatives used in force calculation | 
| 54 | real( kind = dp), dimension(:), allocatable :: frho | 
| 55 | real( kind = dp), dimension(:), allocatable :: rho | 
| 56 |  | 
| 57 | real( kind = dp), dimension(:), allocatable :: dfrhodrho | 
| 58 | real( kind = dp), dimension(:), allocatable :: d2frhodrhodrho | 
| 59 |  | 
| 60 |  | 
| 61 | !! Arrays for MPI storage | 
| 62 | #ifdef IS_MPI | 
| 63 | real( kind = dp), dimension(:), allocatable :: dfrhodrho_col | 
| 64 | real( kind = dp), dimension(:), allocatable :: dfrhodrho_row | 
| 65 | real( kind = dp), dimension(:), allocatable :: frho_row | 
| 66 | real( kind = dp), dimension(:), allocatable :: frho_col | 
| 67 | real( kind = dp), dimension(:), allocatable :: rho_row | 
| 68 | real( kind = dp), dimension(:), allocatable :: rho_col | 
| 69 | real( kind = dp), dimension(:), allocatable :: d2frhodrhodrho_col | 
| 70 | real( kind = dp), dimension(:), allocatable :: d2frhodrhodrho_row | 
| 71 | #endif | 
| 72 |  | 
| 73 | type, private :: EAMTypeList | 
| 74 | integer           :: n_eam_types = 0 | 
| 75 | integer           :: currentAddition = 0 | 
| 76 |  | 
| 77 | type (EAMtype), pointer  :: EAMParams(:) => null() | 
| 78 | end type EAMTypeList | 
| 79 |  | 
| 80 |  | 
| 81 | type (eamTypeList) :: EAMList | 
| 82 |  | 
| 83 | !! standard eam stuff | 
| 84 |  | 
| 85 |  | 
| 86 | public :: init_EAM_FF | 
| 87 | !  public :: EAM_new_rcut | 
| 88 | public :: do_eam_pair | 
| 89 | public :: newEAMtype | 
| 90 | public :: calc_eam_prepair_rho | 
| 91 | public :: calc_eam_preforce_Frho | 
| 92 |  | 
| 93 |  | 
| 94 | contains | 
| 95 |  | 
| 96 |  | 
| 97 | subroutine newEAMtype(lattice_constant,eam_nrho,eam_drho,eam_nr,& | 
| 98 | eam_dr,rcut,eam_Z_r,eam_rho_r,eam_F_rho,& | 
| 99 | eam_ident,status) | 
| 100 | real (kind = dp )                      :: lattice_constant | 
| 101 | integer                                :: eam_nrho | 
| 102 | real (kind = dp )                      :: eam_drho | 
| 103 | integer                                :: eam_nr | 
| 104 | real (kind = dp )                      :: eam_dr | 
| 105 | real (kind = dp )                      :: rcut | 
| 106 | real (kind = dp ), dimension(eam_nr)   :: eam_Z_r | 
| 107 | real (kind = dp ), dimension(eam_nr)   :: eam_rho_r | 
| 108 | real (kind = dp ), dimension(eam_nrho) :: eam_F_rho | 
| 109 | integer                                :: eam_ident | 
| 110 | integer                                :: status | 
| 111 |  | 
| 112 | integer                                :: nAtypes | 
| 113 | integer                                :: maxVals | 
| 114 | integer                                :: alloc_stat | 
| 115 | integer                                :: current | 
| 116 | integer,pointer                        :: Matchlist(:) => null() | 
| 117 | type (EAMtype), pointer                :: makeEamtype => null() | 
| 118 | status = 0 | 
| 119 |  | 
| 120 | !! Assume that atypes has already been set and get the total number of types in atypes | 
| 121 | !! Also assume that every member of atypes is a EAM model. | 
| 122 |  | 
| 123 |  | 
| 124 | ! check to see if this is the first time into | 
| 125 | if (.not.associated(EAMList%EAMParams)) then | 
| 126 | call getMatchingElementList(atypes, "is_EAM", .true., nAtypes, MatchList) | 
| 127 | EAMList%n_eam_types = nAtypes | 
| 128 | allocate(EAMList%EAMParams(nAtypes)) | 
| 129 | end if | 
| 130 |  | 
| 131 | EAMList%currentAddition = EAMList%currentAddition + 1 | 
| 132 | current = EAMList%currentAddition | 
| 133 |  | 
| 134 |  | 
| 135 | call allocate_EAMType(eam_nrho,eam_nr,makeEamtype,stat=alloc_stat) | 
| 136 | if (alloc_stat /= 0) then | 
| 137 | status = -1 | 
| 138 | return | 
| 139 | end if | 
| 140 | makeEamtype => EAMList%EAMParams(current) | 
| 141 |  | 
| 142 | ! this is a possible bug, we assume a correspondence between the vector atypes and | 
| 143 | ! EAMAtypes | 
| 144 |  | 
| 145 | EAMList%EAMParams(current)%eam_atype    = eam_ident | 
| 146 | EAMList%EAMParams(current)%eam_lattice  = lattice_constant | 
| 147 | EAMList%EAMParams(current)%eam_nrho     = eam_nrho | 
| 148 | EAMList%EAMParams(current)%eam_drho     = eam_drho | 
| 149 | EAMList%EAMParams(current)%eam_nr       = eam_nr | 
| 150 | EAMList%EAMParams(current)%eam_rcut     = rcut | 
| 151 | EAMList%EAMParams(current)%eam_Z_r      = eam_Z_r | 
| 152 | EAMList%EAMParams(current)%eam_rho_r    = eam_rho_r | 
| 153 | EAMList%EAMParams(current)%eam_F_rho    = eam_F_rho | 
| 154 |  | 
| 155 | end subroutine newEAMtype | 
| 156 |  | 
| 157 |  | 
| 158 |  | 
| 159 | subroutine init_EAM_FF(status) | 
| 160 | integer :: status | 
| 161 | integer :: i,j | 
| 162 | real(kind=dp) :: current_rcut_max | 
| 163 | integer :: alloc_stat | 
| 164 | integer :: number_r, number_rho | 
| 165 |  | 
| 166 |  | 
| 167 |  | 
| 168 | do i = 1, EAMList%currentAddition | 
| 169 |  | 
| 170 | EAMList%EAMParams(i)%eam_rvals(1:EAMList%EAMParams(i)%eam_nr) = & | 
| 171 | real(EAMList%EAMParams(i)%eam_nr,kind=dp)* & | 
| 172 | EAMList%EAMParams(i)%eam_dr | 
| 173 |  | 
| 174 | EAMList%EAMParams(i)%eam_rhovals(1:EAMList%EAMParams(i)%eam_nrho) = & | 
| 175 | real(EAMList%EAMParams(i)%eam_nrho,kind=dp)* & | 
| 176 | EAMList%EAMParams(i)%eam_drho | 
| 177 |  | 
| 178 | ! convert from eV to kcal / mol: | 
| 179 | EAMList%EAMParams(i)%eam_F_rho = EAMList%EAMParams(i)%eam_F_rho * 23.06054E0_DP | 
| 180 |  | 
| 181 | ! precompute the pair potential and get it into kcal / mol: | 
| 182 | EAMList%EAMParams(i)%eam_phi_r = 0.0E0_DP | 
| 183 | do j = 2, EAMList%EAMParams(i)%eam_nr | 
| 184 | EAMList%EAMParams(i)%eam_phi_r(j) = (EAMList%EAMParams(i)%eam_Z_r(j)**2)/EAMList%EAMParams(i)%eam_rvals(j) | 
| 185 | EAMList%EAMParams(i)%eam_phi_r(j) =  EAMList%EAMParams(i)%eam_phi_r(j)*331.999296E0_DP | 
| 186 | enddo | 
| 187 | end do | 
| 188 |  | 
| 189 | do i = 1,  EAMList%currentAddition | 
| 190 | number_r   = EAMList%EAMParams(i)%eam_nr | 
| 191 | number_rho = EAMList%EAMParams(i)%eam_nrho | 
| 192 |  | 
| 193 | call eam_spline(number_r, EAMList%EAMParams(i)%eam_rvals, & | 
| 194 | EAMList%EAMParams(i)%eam_rho_r, & | 
| 195 | EAMList%EAMParams(i)%eam_rho_r_pp, & | 
| 196 | 0.0E0_DP, 0.0E0_DP, 'N') | 
| 197 | call eam_spline(number_r, EAMList%EAMParams(i)%eam_rvals, & | 
| 198 | EAMList%EAMParams(i)%eam_Z_r, & | 
| 199 | EAMList%EAMParams(i)%eam_Z_r_pp, & | 
| 200 | 0.0E0_DP, 0.0E0_DP, 'N') | 
| 201 | call eam_spline(number_rho, EAMList%EAMParams(i)%eam_rhovals, & | 
| 202 | EAMList%EAMParams(i)%eam_F_rho, & | 
| 203 | EAMList%EAMParams(i)%eam_F_rho_pp, & | 
| 204 | 0.0E0_DP, 0.0E0_DP, 'N') | 
| 205 | call eam_spline(number_r, EAMList%EAMParams(i)%eam_rvals, & | 
| 206 | EAMList%EAMParams(i)%eam_phi_r, & | 
| 207 | EAMList%EAMParams(i)%eam_phi_r_pp, & | 
| 208 | 0.0E0_DP, 0.0E0_DP, 'N') | 
| 209 | enddo | 
| 210 |  | 
| 211 | current_rcut_max = EAMList%EAMParams(1)%eam_rcut | 
| 212 | !! find the smallest rcut for any eam atype | 
| 213 | do i = 2, EAMList%currentAddition | 
| 214 | current_rcut_max = min(current_rcut_max,EAMList%EAMParams(i)%eam_rcut) | 
| 215 | end do | 
| 216 |  | 
| 217 | EAM_rcut = current_rcut_max | 
| 218 | EAM_rcut_orig = current_rcut_max | 
| 219 | !       do i = 1, EAMList%currentAddition | 
| 220 | !          EAMList%EAMParam(i)s%eam_atype_map(eam_atype(i)) = i | 
| 221 | !       end do | 
| 222 |  | 
| 223 |  | 
| 224 | !! Allocate arrays for force calculation | 
| 225 | call allocateEAM(alloc_stat) | 
| 226 | if (alloc_stat /= 0 ) then | 
| 227 | status = -1 | 
| 228 | return | 
| 229 | endif | 
| 230 |  | 
| 231 | end subroutine init_EAM_FF | 
| 232 |  | 
| 233 | !! routine checks to see if array is allocated, deallocates array if allocated | 
| 234 | !! and then creates the array to the required size | 
| 235 | subroutine allocateEAM(status) | 
| 236 | integer, intent(out) :: status | 
| 237 |  | 
| 238 | integer :: nlocal | 
| 239 | #ifdef IS_MPI | 
| 240 | integer :: nrow | 
| 241 | integer :: ncol | 
| 242 | #endif | 
| 243 | integer :: alloc_stat | 
| 244 |  | 
| 245 |  | 
| 246 | nlocal = getNlocal() | 
| 247 |  | 
| 248 | #ifdef IS_MPI | 
| 249 | nrow = getNrow(plan_row) | 
| 250 | ncol = getNcol(plan_col) | 
| 251 | #endif | 
| 252 |  | 
| 253 | if (allocated(frho)) deallocate(frho) | 
| 254 | allocate(frho(nlocal),stat=alloc_stat) | 
| 255 | if (alloc_stat /= 0) then | 
| 256 | status = -1 | 
| 257 | return | 
| 258 | end if | 
| 259 | if (allocated(rho)) deallocate(rho) | 
| 260 | allocate(rho(nlocal),stat=alloc_stat) | 
| 261 | if (alloc_stat /= 0) then | 
| 262 | status = -1 | 
| 263 | return | 
| 264 | end if | 
| 265 |  | 
| 266 | if (allocated(dfrhodrho)) deallocate(dfrhodrho) | 
| 267 | allocate(dfrhodrho(nlocal),stat=alloc_stat) | 
| 268 | if (alloc_stat /= 0) then | 
| 269 | status = -1 | 
| 270 | return | 
| 271 | end if | 
| 272 |  | 
| 273 | if (allocated(d2frhodrhodrho)) deallocate(d2frhodrhodrho) | 
| 274 | allocate(d2frhodrhodrho(nlocal),stat=alloc_stat) | 
| 275 | if (alloc_stat /= 0) then | 
| 276 | status = -1 | 
| 277 | return | 
| 278 | end if | 
| 279 |  | 
| 280 | #ifdef IS_MPI | 
| 281 |  | 
| 282 | if (allocated(frho_row)) deallocate(frho_row) | 
| 283 | allocate(frho_row(nrow),stat=alloc_stat) | 
| 284 | if (alloc_stat /= 0) then | 
| 285 | status = -1 | 
| 286 | return | 
| 287 | end if | 
| 288 | if (allocated(rho_row)) deallocate(rho_row) | 
| 289 | allocate(rho_row(nrow),stat=alloc_stat) | 
| 290 | if (alloc_stat /= 0) then | 
| 291 | status = -1 | 
| 292 | return | 
| 293 | end if | 
| 294 | if (allocated(dfrhodrho_row)) deallocate(dfrhodrho_row) | 
| 295 | allocate(dfrhodrho_row(nrow),stat=alloc_stat) | 
| 296 | if (alloc_stat /= 0) then | 
| 297 | status = -1 | 
| 298 | return | 
| 299 | end if | 
| 300 | if (allocated(d2frhodrhodrho_row)) deallocate(d2frhodrhodrho_row) | 
| 301 | allocate(d2frhodrhodrho_row(nrow),stat=alloc_stat) | 
| 302 | if (alloc_stat /= 0) then | 
| 303 | status = -1 | 
| 304 | return | 
| 305 | end if | 
| 306 |  | 
| 307 |  | 
| 308 | ! Now do column arrays | 
| 309 |  | 
| 310 | if (allocated(frho_col)) deallocate(frho_col) | 
| 311 | allocate(frho_col(ncol),stat=alloc_stat) | 
| 312 | if (alloc_stat /= 0) then | 
| 313 | status = -1 | 
| 314 | return | 
| 315 | end if | 
| 316 | if (allocated(rho_col)) deallocate(rho_col) | 
| 317 | allocate(rho_col(ncol),stat=alloc_stat) | 
| 318 | if (alloc_stat /= 0) then | 
| 319 | status = -1 | 
| 320 | return | 
| 321 | end if | 
| 322 | if (allocated(dfrhodrho_col)) deallocate(dfrhodrho_col) | 
| 323 | allocate(dfrhodrho_col(ncol),stat=alloc_stat) | 
| 324 | if (alloc_stat /= 0) then | 
| 325 | status = -1 | 
| 326 | return | 
| 327 | end if | 
| 328 | if (allocated(d2frhodrhodrho_col)) deallocate(d2frhodrhodrho_col) | 
| 329 | allocate(d2frhodrhodrho_col(ncol),stat=alloc_stat) | 
| 330 | if (alloc_stat /= 0) then | 
| 331 | status = -1 | 
| 332 | return | 
| 333 | end if | 
| 334 |  | 
| 335 | #endif | 
| 336 |  | 
| 337 | end subroutine allocateEAM | 
| 338 |  | 
| 339 |  | 
| 340 | subroutine clean_EAM() | 
| 341 |  | 
| 342 | ! clean non-IS_MPI first | 
| 343 | frho = 0.0_dp | 
| 344 | rho  = 0.0_dp | 
| 345 | dfrhodrho = 0.0_dp | 
| 346 | ! clean MPI if needed | 
| 347 | #ifdef IS_MPI | 
| 348 | frho_row = 0.0_dp | 
| 349 | frho_col = 0.0_dp | 
| 350 | rho_row  = 0.0_dp | 
| 351 | rho_col  = 0.0_dp | 
| 352 | dfrhodrho_row = 0.0_dp | 
| 353 | dfrhodrho_col = 0.0_dp | 
| 354 | #endif | 
| 355 | end subroutine clean_EAM | 
| 356 |  | 
| 357 |  | 
| 358 |  | 
| 359 | subroutine allocate_EAMType(eam_n_rho,eam_n_r,thisEAMType,stat) | 
| 360 | integer, intent(in)          :: eam_n_rho | 
| 361 | integer, intent(in)          :: eam_n_r | 
| 362 | type (EAMType), pointer      :: thisEAMType | 
| 363 | integer, optional   :: stat | 
| 364 | integer             :: alloc_stat | 
| 365 |  | 
| 366 |  | 
| 367 |  | 
| 368 | if (present(stat)) stat = 0 | 
| 369 |  | 
| 370 | allocate(thisEAMType%eam_rvals(eam_n_r),stat=alloc_stat) | 
| 371 | if (alloc_stat /= 0 ) then | 
| 372 | if (present(stat)) stat = -1 | 
| 373 | return | 
| 374 | end if | 
| 375 | allocate(thisEAMType%eam_rhovals(eam_n_rho),stat=alloc_stat) | 
| 376 | if (alloc_stat /= 0 ) then | 
| 377 | if (present(stat)) stat = -1 | 
| 378 | return | 
| 379 | end if | 
| 380 | allocate(thisEAMType%eam_F_rho(eam_n_rho),stat=alloc_stat) | 
| 381 | if (alloc_stat /= 0 ) then | 
| 382 | if (present(stat)) stat = -1 | 
| 383 | return | 
| 384 | end if | 
| 385 | allocate(thisEAMType%eam_Z_r(eam_n_r),stat=alloc_stat) | 
| 386 | if (alloc_stat /= 0 ) then | 
| 387 | if (present(stat)) stat = -1 | 
| 388 | return | 
| 389 | end if | 
| 390 | allocate(thisEAMType%eam_rho_r(eam_n_r),stat=alloc_stat) | 
| 391 | if (alloc_stat /= 0 ) then | 
| 392 | if (present(stat)) stat = -1 | 
| 393 | return | 
| 394 | end if | 
| 395 | allocate(thisEAMType%eam_phi_r(eam_n_r),stat=alloc_stat) | 
| 396 | if (alloc_stat /= 0 ) then | 
| 397 | if (present(stat)) stat = -1 | 
| 398 | return | 
| 399 | end if | 
| 400 | allocate(thisEAMType%eam_F_rho_pp(eam_n_rho),stat=alloc_stat) | 
| 401 | if (alloc_stat /= 0 ) then | 
| 402 | if (present(stat)) stat = -1 | 
| 403 | return | 
| 404 | end if | 
| 405 | allocate(thisEAMType%eam_Z_r_pp(eam_n_r),stat=alloc_stat) | 
| 406 | if (alloc_stat /= 0 ) then | 
| 407 | if (present(stat)) stat = -1 | 
| 408 | return | 
| 409 | end if | 
| 410 | allocate(thisEAMType%eam_rho_r_pp(eam_n_r),stat=alloc_stat) | 
| 411 | if (alloc_stat /= 0 ) then | 
| 412 | if (present(stat)) stat = -1 | 
| 413 | return | 
| 414 | end if | 
| 415 | allocate(thisEAMType%eam_phi_r_pp(eam_n_r),stat=alloc_stat) | 
| 416 | if (alloc_stat /= 0 ) then | 
| 417 | if (present(stat)) stat = -1 | 
| 418 | return | 
| 419 | end if | 
| 420 |  | 
| 421 |  | 
| 422 | end subroutine allocate_EAMType | 
| 423 |  | 
| 424 |  | 
| 425 | subroutine deallocate_EAMType(thisEAMType) | 
| 426 | type (EAMtype), pointer :: thisEAMType | 
| 427 |  | 
| 428 | ! free Arrays in reverse order of allocation... | 
| 429 | deallocate(thisEAMType%eam_phi_r_pp) | 
| 430 | deallocate(thisEAMType%eam_rho_r_pp) | 
| 431 | deallocate(thisEAMType%eam_Z_r_pp) | 
| 432 | deallocate(thisEAMType%eam_F_rho_pp) | 
| 433 | deallocate(thisEAMType%eam_phi_r) | 
| 434 | deallocate(thisEAMType%eam_rho_r) | 
| 435 | deallocate(thisEAMType%eam_Z_r) | 
| 436 | deallocate(thisEAMType%eam_F_rho) | 
| 437 | deallocate(thisEAMType%eam_rhovals) | 
| 438 | deallocate(thisEAMType%eam_rvals) | 
| 439 |  | 
| 440 | end subroutine deallocate_EAMType | 
| 441 |  | 
| 442 | !! Calculates rho_r | 
| 443 | subroutine calc_eam_prepair_rho(atom1,atom2,d,r,rijsq) | 
| 444 | integer :: atom1,atom2 | 
| 445 | real(kind = dp), dimension(3) :: d | 
| 446 | real(kind = dp), intent(inout)               :: r | 
| 447 | real(kind = dp), intent(inout)               :: rijsq | 
| 448 | ! value of electron density rho do to atom i at atom j | 
| 449 | real(kind = dp) :: rho_i_at_j | 
| 450 | ! value of electron density rho do to atom j at atom i | 
| 451 | real(kind = dp) :: rho_j_at_i | 
| 452 |  | 
| 453 | ! we don't use the derivatives, dummy variables | 
| 454 | real( kind = dp) :: drho,d2rho | 
| 455 | integer :: eam_err | 
| 456 |  | 
| 457 | integer :: myid_atom1 | 
| 458 | integer :: myid_atom2 | 
| 459 |  | 
| 460 | ! check to see if we need to be cleaned at the start of a force loop | 
| 461 | if (cleanme) call clean_EAM | 
| 462 | cleanme = .false. | 
| 463 |  | 
| 464 |  | 
| 465 | #ifdef IS_MPI | 
| 466 | myid_atom1 = atid_Row(atom1) | 
| 467 | myid_atom2 = atid_Col(atom2) | 
| 468 | #else | 
| 469 | myid_atom1 = atid(atom1) | 
| 470 | myid_atom2 = atid(atom2) | 
| 471 | #endif | 
| 472 |  | 
| 473 | if (r.lt.EAMList%EAMParams(myid_atom1)%eam_rcut) then | 
| 474 |  | 
| 475 |  | 
| 476 |  | 
| 477 | call eam_splint(EAMList%EAMParams(myid_atom1)%eam_nr, & | 
| 478 | EAMList%EAMParams(myid_atom1)%eam_rvals, & | 
| 479 | EAMList%EAMParams(myid_atom1)%eam_rho_r, & | 
| 480 | EAMList%EAMParams(myid_atom1)%eam_rho_r_pp, & | 
| 481 | r, rho_i_at_j,drho,d2rho) | 
| 482 |  | 
| 483 |  | 
| 484 |  | 
| 485 | #ifdef  IS_MPI | 
| 486 | rho_col(atom2) = rho_col(atom2) + rho_i_at_j | 
| 487 | #else | 
| 488 | rho(atom2) = rho(atom2) + rho_i_at_j | 
| 489 | #endif | 
| 490 | endif | 
| 491 |  | 
| 492 | if (r.lt.EAMList%EAMParams(myid_atom2)%eam_rcut) then | 
| 493 | call eam_splint(EAMList%EAMParams(myid_atom2)%eam_nr, & | 
| 494 | EAMList%EAMParams(myid_atom2)%eam_rvals, & | 
| 495 | EAMList%EAMParams(myid_atom2)%eam_rho_r, & | 
| 496 | EAMList%EAMParams(myid_atom2)%eam_rho_r_pp, & | 
| 497 | r, rho_j_at_i,drho,d2rho) | 
| 498 |  | 
| 499 |  | 
| 500 |  | 
| 501 |  | 
| 502 | #ifdef  IS_MPI | 
| 503 | rho_row(atom1) = rho_row(atom1) + rho_j_at_i | 
| 504 | #else | 
| 505 | rho(atom1) = rho(atom1) + rho_j_at_i | 
| 506 | #endif | 
| 507 | endif | 
| 508 |  | 
| 509 | end subroutine calc_eam_prepair_rho | 
| 510 |  | 
| 511 |  | 
| 512 |  | 
| 513 |  | 
| 514 | !! Calculate the functional F(rho) for all local atoms | 
| 515 | subroutine calc_eam_preforce_Frho(nlocal,pot) | 
| 516 | integer :: nlocal | 
| 517 | real(kind=dp) :: pot | 
| 518 | integer :: i,j | 
| 519 | integer :: atom | 
| 520 | real(kind=dp) :: U,U1,U2 | 
| 521 | integer :: atype1 | 
| 522 | integer :: me | 
| 523 | integer :: n_rho_points | 
| 524 | ! reset clean forces to be true at top of calc rho. | 
| 525 | cleanme = .true. | 
| 526 |  | 
| 527 | !! Scatter the electron density from  pre-pair calculation back to local atoms | 
| 528 | #ifdef IS_MPI | 
| 529 | call scatter(rho_row,rho,plan_row,eam_err) | 
| 530 | if (eam_err /= 0 ) then | 
| 531 | write(errMsg,*) " Error scattering rho_row into rho" | 
| 532 | call handleError(RoutineName,errMesg) | 
| 533 | endif | 
| 534 | call scatter(rho_col,rho,plan_col,eam_err) | 
| 535 | if (eam_err /= 0 ) then | 
| 536 | write(errMsg,*) " Error scattering rho_col into rho" | 
| 537 | call handleError(RoutineName,errMesg) | 
| 538 | endif | 
| 539 | #endif | 
| 540 |  | 
| 541 |  | 
| 542 | !! Calculate F(rho) and derivative | 
| 543 | do atom = 1, nlocal | 
| 544 | me = atid(atom) | 
| 545 | n_rho_points = EAMList%EAMParams(me)%eam_nrho | 
| 546 | !  Check to see that the density is not greater than the larges rho we have calculated | 
| 547 | if (rho(atom) < EAMList%EAMParams(me)%eam_rhovals(n_rho_points)) then | 
| 548 | call eam_splint(n_rho_points, & | 
| 549 | EAMList%EAMParams(me)%eam_rhovals, & | 
| 550 | EAMList%EAMParams(me)%eam_f_rho, & | 
| 551 | EAMList%EAMParams(me)%eam_f_rho_pp, & | 
| 552 | rho(atom), & ! Actual Rho | 
| 553 | u, u1, u2) | 
| 554 | else | 
| 555 | ! Calculate F(rho with the largest available rho value | 
| 556 | call eam_splint(n_rho_points, & | 
| 557 | EAMList%EAMParams(me)%eam_rhovals, & | 
| 558 | EAMList%EAMParams(me)%eam_f_rho, & | 
| 559 | EAMList%EAMParams(me)%eam_f_rho_pp, & | 
| 560 | EAMList%EAMParams(me)%eam_rhovals(n_rho_points), & ! Largest rho | 
| 561 | u,u1,u2) | 
| 562 | end if | 
| 563 |  | 
| 564 |  | 
| 565 | frho(i) = u | 
| 566 | dfrhodrho(i) = u1 | 
| 567 | d2frhodrhodrho(i) = u2 | 
| 568 | pot = pot + u | 
| 569 | enddo | 
| 570 |  | 
| 571 |  | 
| 572 |  | 
| 573 | #ifdef IS_MPI | 
| 574 | !! communicate f(rho) and derivatives back into row and column arrays | 
| 575 | call gather(frho,frho_row,plan_row, eam_err) | 
| 576 | if (eam_err /=  0) then | 
| 577 | call handleError("cal_eam_forces()","MPI gather frho_row failure") | 
| 578 | endif | 
| 579 | call gather(dfrhodrho,dfrhodrho_row,plan_row, eam_err) | 
| 580 | if (eam_err /=  0) then | 
| 581 | call handleError("cal_eam_forces()","MPI gather dfrhodrho_row failure") | 
| 582 | endif | 
| 583 | call gather(frho,frho_col,plan_col, eam_err) | 
| 584 | if (eam_err /=  0) then | 
| 585 | call handleError("cal_eam_forces()","MPI gather frho_col failure") | 
| 586 | endif | 
| 587 | call gather(dfrhodrho,dfrhodrho_col,plan_col, eam_err) | 
| 588 | if (eam_err /=  0) then | 
| 589 | call handleError("cal_eam_forces()","MPI gather dfrhodrho_col failure") | 
| 590 | endif | 
| 591 |  | 
| 592 |  | 
| 593 |  | 
| 594 |  | 
| 595 |  | 
| 596 | if (nmflag) then | 
| 597 | call gather(d2frhodrhodrho,d2frhodrhodrho_row,plan_row) | 
| 598 | call gather(d2frhodrhodrho,d2frhodrhodrho_col,plan_col) | 
| 599 | endif | 
| 600 | #endif | 
| 601 |  | 
| 602 | end subroutine calc_eam_preforce_Frho | 
| 603 |  | 
| 604 |  | 
| 605 |  | 
| 606 |  | 
| 607 | !! Does EAM pairwise Force calculation. | 
| 608 | subroutine do_eam_pair(atom1,atom2,d,rij,r2,pot,f,do_pot,do_stress) | 
| 609 | !Arguments | 
| 610 | integer, intent(in) ::  atom1, atom2 | 
| 611 | real( kind = dp ), intent(in) :: rij, r2 | 
| 612 | real( kind = dp ) :: pot | 
| 613 | real( kind = dp ), dimension(3,getNlocal()) :: f | 
| 614 | real( kind = dp ), intent(in), dimension(3) :: d | 
| 615 | logical, intent(in) :: do_pot, do_stress | 
| 616 |  | 
| 617 | real( kind = dp ) :: drdx,drdy,drdz | 
| 618 | real( kind = dp ) :: d2 | 
| 619 | real( kind = dp ) :: phab,pha,dvpdr,d2vpdrdr | 
| 620 | real( kind = dp ) :: rha,drha,d2rha, dpha | 
| 621 | real( kind = dp ) :: rhb,drhb,d2rhb, dphb | 
| 622 | real( kind = dp ) :: dudr | 
| 623 | real( kind = dp ) :: rci,rcj | 
| 624 | real( kind = dp ) :: drhoidr,drhojdr | 
| 625 | real( kind = dp ) :: d2rhoidrdr | 
| 626 | real( kind = dp ) :: d2rhojdrdr | 
| 627 | real( kind = dp ) :: Fx,Fy,Fz | 
| 628 | real( kind = dp ) :: r,d2pha,phb,d2phb | 
| 629 |  | 
| 630 | integer :: id1,id2 | 
| 631 | integer  :: mytype_atom1 | 
| 632 | integer  :: mytype_atom2 | 
| 633 |  | 
| 634 |  | 
| 635 | !Local Variables | 
| 636 |  | 
| 637 |  | 
| 638 |  | 
| 639 | phab = 0.0E0_DP | 
| 640 | dvpdr = 0.0E0_DP | 
| 641 | d2vpdrdr = 0.0E0_DP | 
| 642 |  | 
| 643 |  | 
| 644 | if (rij .lt. EAM_rcut) then | 
| 645 | #ifdef IS_MPI | 
| 646 | !!!!! FIX ME | 
| 647 | mytype_atom1 = atid_row(atom1) | 
| 648 | #else | 
| 649 | mytype_atom1 = atid(atom1) | 
| 650 | #endif | 
| 651 |  | 
| 652 | drdx = d(1)/rij | 
| 653 | drdy = d(2)/rij | 
| 654 | drdz = d(3)/rij | 
| 655 |  | 
| 656 |  | 
| 657 | call eam_splint(EAMList%EAMParams(mytype_atom1)%eam_nr, & | 
| 658 | EAMList%EAMParams(mytype_atom1)%eam_rvals, & | 
| 659 | EAMList%EAMParams(mytype_atom1)%eam_rho_r, & | 
| 660 | EAMList%EAMParams(mytype_atom1)%eam_rho_r_pp, & | 
| 661 | rij, rha,drha,d2rha) | 
| 662 |  | 
| 663 | !! Calculate Phi(r) for atom1. | 
| 664 | call eam_splint(EAMList%EAMParams(mytype_atom1)%eam_nr, & | 
| 665 | EAMList%EAMParams(mytype_atom1)%eam_rvals, & | 
| 666 | EAMList%EAMParams(mytype_atom1)%eam_phi_r, & | 
| 667 | EAMList%EAMParams(mytype_atom1)%eam_phi_r_pp, & | 
| 668 | rij, pha,dpha,d2pha) | 
| 669 |  | 
| 670 |  | 
| 671 | ! get cutoff for atom 1 | 
| 672 | rci = EAMList%EAMParams(mytype_atom1)%eam_rcut | 
| 673 | #ifdef IS_MPI | 
| 674 | mytype_atom2 = atid_col(atom2) | 
| 675 | #else | 
| 676 | mytype_atom2 = atid(atom2) | 
| 677 | #endif | 
| 678 |  | 
| 679 | ! Calculate rho,drho and d2rho for atom1 | 
| 680 | call eam_splint(EAMList%EAMParams(mytype_atom2)%eam_nr, & | 
| 681 | EAMList%EAMParams(mytype_atom2)%eam_rvals, & | 
| 682 | EAMList%EAMParams(mytype_atom2)%eam_rho_r, & | 
| 683 | EAMList%EAMParams(mytype_atom2)%eam_rho_r_pp, & | 
| 684 | rij, rhb,drhb,d2rhb) | 
| 685 |  | 
| 686 | !! Calculate Phi(r) for atom2. | 
| 687 | call eam_splint(EAMList%EAMParams(mytype_atom2)%eam_nr, & | 
| 688 | EAMList%EAMParams(mytype_atom2)%eam_rvals, & | 
| 689 | EAMList%EAMParams(mytype_atom2)%eam_phi_r, & | 
| 690 | EAMList%EAMParams(mytype_atom2)%eam_phi_r_pp, & | 
| 691 | rij, phb,dphb,d2phb) | 
| 692 |  | 
| 693 |  | 
| 694 | ! get type specific cutoff for atom 2 | 
| 695 | rcj = EAMList%EAMParams(mytype_atom1)%eam_rcut | 
| 696 |  | 
| 697 |  | 
| 698 |  | 
| 699 | if (rij.lt.rci) then | 
| 700 | phab = phab + 0.5E0_DP*(rhb/rha)*pha | 
| 701 | dvpdr = dvpdr + 0.5E0_DP*((rhb/rha)*dpha + & | 
| 702 | pha*((drhb/rha) - (rhb*drha/rha/rha))) | 
| 703 | d2vpdrdr = d2vpdrdr + 0.5E0_DP*((rhb/rha)*d2pha + & | 
| 704 | 2.0E0_DP*dpha*((drhb/rha) - (rhb*drha/rha/rha)) + & | 
| 705 | pha*((d2rhb/rha) - 2.0E0_DP*(drhb*drha/rha/rha) + & | 
| 706 | (2.0E0_DP*rhb*drha*drha/rha/rha/rha) - (rhb*d2rha/rha/rha))) | 
| 707 | endif | 
| 708 |  | 
| 709 |  | 
| 710 | if (rij.lt.rcj) then | 
| 711 | phab = phab + 0.5E0_DP*(rha/rhb)*phb | 
| 712 | dvpdr = dvpdr + 0.5E0_DP*((rha/rhb)*dphb + & | 
| 713 | phb*((drha/rhb) - (rha*drhb/rhb/rhb))) | 
| 714 | d2vpdrdr = d2vpdrdr + 0.5E0_DP*((rha/rhb)*d2phb + & | 
| 715 | 2.0E0_DP*dphb*((drha/rhb) - (rha*drhb/rhb/rhb)) + & | 
| 716 | phb*((d2rha/rhb) - 2.0E0_DP*(drha*drhb/rhb/rhb) + & | 
| 717 | (2.0E0_DP*rha*drhb*drhb/rhb/rhb/rhb) - (rha*d2rhb/rhb/rhb))) | 
| 718 | endif | 
| 719 |  | 
| 720 | drhoidr = drha | 
| 721 | drhojdr = drhb | 
| 722 |  | 
| 723 | d2rhoidrdr = d2rha | 
| 724 | d2rhojdrdr = d2rhb | 
| 725 |  | 
| 726 |  | 
| 727 | #ifdef IS_MPI | 
| 728 | dudr = drhojdr*dfrhodrho_row(atom1)+drhoidr*dfrhodrho_col(atom2) & | 
| 729 | + dvpdr | 
| 730 |  | 
| 731 | #else | 
| 732 | dudr = drhojdr*dfrhodrho(atom1)+drhoidr*dfrhodrho(atom2) & | 
| 733 | + dvpdr | 
| 734 |  | 
| 735 | #endif | 
| 736 |  | 
| 737 | fx = dudr * drdx | 
| 738 | fy = dudr * drdy | 
| 739 | fz = dudr * drdz | 
| 740 |  | 
| 741 |  | 
| 742 | #ifdef IS_MPI | 
| 743 | if (do_pot) then | 
| 744 | pot_Row(atom1) = pot_Row(atom1) + phab*0.5 | 
| 745 | pot_Col(atom2) = pot_Col(atom2) + phab*0.5 | 
| 746 | end if | 
| 747 |  | 
| 748 | f_Row(1,atom1) = f_Row(1,atom1) + fx | 
| 749 | f_Row(2,atom1) = f_Row(2,atom1) + fy | 
| 750 | f_Row(3,atom1) = f_Row(3,atom1) + fz | 
| 751 |  | 
| 752 | f_Col(1,atom2) = f_Col(1,atom2) - fx | 
| 753 | f_Col(2,atom2) = f_Col(2,atom2) - fy | 
| 754 | f_Col(3,atom2) = f_Col(3,atom2) - fz | 
| 755 | #else | 
| 756 | if(do_pot) pot = pot + phab | 
| 757 |  | 
| 758 | f(1,atom1) = f(1,atom1) + fx | 
| 759 | f(2,atom1) = f(2,atom1) + fy | 
| 760 | f(3,atom1) = f(3,atom1) + fz | 
| 761 |  | 
| 762 | f(1,atom2) = f(1,atom2) - fx | 
| 763 | f(2,atom2) = f(2,atom2) - fy | 
| 764 | f(3,atom2) = f(3,atom2) - fz | 
| 765 | #endif | 
| 766 |  | 
| 767 | if (nmflag) then | 
| 768 |  | 
| 769 | drhoidr = drha | 
| 770 | drhojdr = drhb | 
| 771 | d2rhoidrdr = d2rha | 
| 772 | d2rhojdrdr = d2rhb | 
| 773 |  | 
| 774 | #ifdef IS_MPI | 
| 775 | d2 = d2vpdrdr + & | 
| 776 | d2rhoidrdr*dfrhodrho_col(atom2) + & | 
| 777 | d2rhojdrdr*dfrhodrho_row(atom1) + & | 
| 778 | drhoidr*drhoidr*d2frhodrhodrho_col(atom2) + & | 
| 779 | drhojdr*drhojdr*d2frhodrhodrho_row(atom1) | 
| 780 |  | 
| 781 | #else | 
| 782 |  | 
| 783 | d2 = d2vpdrdr + & | 
| 784 | d2rhoidrdr*dfrhodrho(atom2) + & | 
| 785 | d2rhojdrdr*dfrhodrho(atom1) + & | 
| 786 | drhoidr*drhoidr*d2frhodrhodrho(atom2) + & | 
| 787 | drhojdr*drhojdr*d2frhodrhodrho(atom1) | 
| 788 | #endif | 
| 789 | end if | 
| 790 |  | 
| 791 |  | 
| 792 |  | 
| 793 |  | 
| 794 | if (do_stress) then | 
| 795 |  | 
| 796 | #ifdef IS_MPI | 
| 797 | id1 = tagRow(atom1) | 
| 798 | id2 = tagColumn(atom2) | 
| 799 | #else | 
| 800 | id1 = atom1 | 
| 801 | id2 = atom2 | 
| 802 | #endif | 
| 803 |  | 
| 804 | if (molMembershipList(id1) .ne. molMembershipList(id2)) then | 
| 805 |  | 
| 806 |  | 
| 807 |  | 
| 808 |  | 
| 809 | tau_Temp(1) = tau_Temp(1) - d(1) * fx | 
| 810 | tau_Temp(2) = tau_Temp(2) - d(1) * fy | 
| 811 | tau_Temp(3) = tau_Temp(3) - d(1) * fz | 
| 812 | tau_Temp(4) = tau_Temp(4) - d(2) * fx | 
| 813 | tau_Temp(5) = tau_Temp(5) - d(2) * fy | 
| 814 | tau_Temp(6) = tau_Temp(6) - d(2) * fz | 
| 815 | tau_Temp(7) = tau_Temp(7) - d(3) * fx | 
| 816 | tau_Temp(8) = tau_Temp(8) - d(3) * fy | 
| 817 | tau_Temp(9) = tau_Temp(9) - d(3) * fz | 
| 818 |  | 
| 819 | virial_Temp = virial_Temp + & | 
| 820 | (tau_Temp(1) + tau_Temp(5) + tau_Temp(9)) | 
| 821 |  | 
| 822 | endif | 
| 823 | endif | 
| 824 | endif | 
| 825 |  | 
| 826 |  | 
| 827 | end subroutine do_eam_pair | 
| 828 |  | 
| 829 |  | 
| 830 | subroutine eam_splint(nx, xa, ya, yppa, x, y, dy, d2y) | 
| 831 |  | 
| 832 | integer :: atype, nx, j | 
| 833 | real( kind = DP ), dimension(:) :: xa | 
| 834 | real( kind = DP ), dimension(:) :: ya | 
| 835 | real( kind = DP ), dimension(:) :: yppa | 
| 836 | real( kind = DP ) :: x, y | 
| 837 | real( kind = DP ) :: dy, d2y | 
| 838 | real( kind = DP ) :: del, h, a, b, c, d | 
| 839 | integer :: pp_arraySize | 
| 840 |  | 
| 841 |  | 
| 842 | ! this spline code assumes that the x points are equally spaced | 
| 843 | ! do not attempt to use this code if they are not. | 
| 844 |  | 
| 845 |  | 
| 846 | ! find the closest point with a value below our own: | 
| 847 | j = FLOOR(real((nx-1),kind=dp) * (x - xa(1)) / (xa(nx) - xa(1))) + 1 | 
| 848 |  | 
| 849 | ! check to make sure we're inside the spline range: | 
| 850 | if ((j.gt.nx).or.(j.lt.1)) then | 
| 851 | write(errMSG,*) "EAM_splint: x is outside bounds of spline" | 
| 852 | call handleError(routineName,errMSG) | 
| 853 | endif | 
| 854 | ! check to make sure we haven't screwed up the calculation of j: | 
| 855 | if ((x.lt.xa(j)).or.(x.gt.xa(j+1))) then | 
| 856 | if (j.ne.nx) then | 
| 857 | write(errMSG,*) "EAM_splint:",x," x is outside bounding range" | 
| 858 | call handleError(routineName,errMSG) | 
| 859 | endif | 
| 860 | endif | 
| 861 |  | 
| 862 | del = xa(j+1) - x | 
| 863 | h = xa(j+1) - xa(j) | 
| 864 |  | 
| 865 | a = del / h | 
| 866 | b = 1.0E0_DP - a | 
| 867 | c = a*(a*a - 1.0E0_DP)*h*h/6.0E0_DP | 
| 868 | d = b*(b*b - 1.0E0_DP)*h*h/6.0E0_DP | 
| 869 |  | 
| 870 | y = a*ya(j) + b*ya(j+1) + c*yppa(j) + d*yppa(j+1) | 
| 871 |  | 
| 872 | dy = (ya(j+1)-ya(j))/h & | 
| 873 | - (3.0E0_DP*a*a - 1.0E0_DP)*h*yppa(j)/6.0E0_DP & | 
| 874 | + (3.0E0_DP*b*b - 1.0E0_DP)*h*yppa(j+1)/6.0E0_DP | 
| 875 |  | 
| 876 |  | 
| 877 | d2y = a*yppa(j) + b*yppa(j+1) | 
| 878 |  | 
| 879 |  | 
| 880 | end subroutine eam_splint | 
| 881 |  | 
| 882 |  | 
| 883 | subroutine eam_spline(nx, xa, ya, yppa, yp1, ypn, boundary) | 
| 884 |  | 
| 885 |  | 
| 886 | ! yp1 and ypn are the first derivatives of y at the two endpoints | 
| 887 | ! if boundary is 'L' the lower derivative is used | 
| 888 | ! if boundary is 'U' the upper derivative is used | 
| 889 | ! if boundary is 'B' then both derivatives are used | 
| 890 | ! if boundary is anything else, then both derivatives are assumed to be 0 | 
| 891 |  | 
| 892 | integer :: nx, i, k, max_array_size | 
| 893 |  | 
| 894 | real( kind = DP ), dimension(:)        :: xa | 
| 895 | real( kind = DP ), dimension(:)        :: ya | 
| 896 | real( kind = DP ), dimension(:)        :: yppa | 
| 897 | real( kind = DP ), dimension(size(xa)) :: u | 
| 898 | real( kind = DP ) :: yp1,ypn,un,qn,sig,p | 
| 899 | character(len=*) :: boundary | 
| 900 |  | 
| 901 | ! make sure the sizes match | 
| 902 | if ((nx /= size(xa)) .or. (nx /= size(ya))) then | 
| 903 | call handleWarning("EAM_SPLINE","Array size mismatch") | 
| 904 | end if | 
| 905 |  | 
| 906 | if ((boundary.eq.'l').or.(boundary.eq.'L').or. & | 
| 907 | (boundary.eq.'b').or.(boundary.eq.'B')) then | 
| 908 | yppa(1) = -0.5E0_DP | 
| 909 | u(1) = (3.0E0_DP/(xa(2)-xa(1)))*((ya(2)-& | 
| 910 | ya(1))/(xa(2)-xa(1))-yp1) | 
| 911 | else | 
| 912 | yppa(1) = 0.0E0_DP | 
| 913 | u(1)  = 0.0E0_DP | 
| 914 | endif | 
| 915 |  | 
| 916 | do i = 2, nx - 1 | 
| 917 | sig = (xa(i) - xa(i-1)) / (xa(i+1) - xa(i-1)) | 
| 918 | p = sig * yppa(i-1) + 2.0E0_DP | 
| 919 | yppa(i) = (sig - 1.0E0_DP) / p | 
| 920 | u(i) = (6.0E0_DP*((ya(i+1)-ya(i))/(xa(i+1)-xa(i)) - & | 
| 921 | (ya(i)-ya(i-1))/(xa(i)-xa(i-1)))/ & | 
| 922 | (xa(i+1)-xa(i-1)) - sig * u(i-1))/p | 
| 923 | enddo | 
| 924 |  | 
| 925 | if ((boundary.eq.'u').or.(boundary.eq.'U').or. & | 
| 926 | (boundary.eq.'b').or.(boundary.eq.'B')) then | 
| 927 | qn = 0.5E0_DP | 
| 928 | un = (3.0E0_DP/(xa(nx)-xa(nx-1)))* & | 
| 929 | (ypn-(ya(nx)-ya(nx-1))/(xa(nx)-xa(nx-1))) | 
| 930 | else | 
| 931 | qn = 0.0E0_DP | 
| 932 | un = 0.0E0_DP | 
| 933 | endif | 
| 934 |  | 
| 935 | yppa(nx)=(un-qn*u(nx-1))/(qn*yppa(nx-1)+1.0E0_DP) | 
| 936 |  | 
| 937 | do k = nx-1, 1, -1 | 
| 938 | yppa(k)=yppa(k)*yppa(k+1)+u(k) | 
| 939 | enddo | 
| 940 |  | 
| 941 | end subroutine eam_spline | 
| 942 |  | 
| 943 |  | 
| 944 |  | 
| 945 |  | 
| 946 | end module eam |