| 1 | MODULE random_generator_parallel |
|---|
| 2 | |
|---|
| 3 | !------------------------------------------------------------------------------! |
|---|
| 4 | ! This file is part of PALM. |
|---|
| 5 | ! |
|---|
| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
|---|
| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
|---|
| 8 | ! either version 3 of the License, or (at your option) any later version. |
|---|
| 9 | ! |
|---|
| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
|---|
| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
|---|
| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
|---|
| 13 | ! |
|---|
| 14 | ! You should have received a copy of the GNU General Public License along with |
|---|
| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
|---|
| 16 | ! |
|---|
| 17 | ! Copyright 1997-2014 Leibniz Universitaet Hannover |
|---|
| 18 | !------------------------------------------------------------------------------! |
|---|
| 19 | ! |
|---|
| 20 | ! Current revisions: |
|---|
| 21 | ! ----------------- |
|---|
| 22 | ! |
|---|
| 23 | ! |
|---|
| 24 | ! Former revisions: |
|---|
| 25 | ! ----------------- |
|---|
| 26 | ! $Id: random_generator_parallel.f90 1401 2014-05-09 14:15:46Z witha $ |
|---|
| 27 | ! |
|---|
| 28 | ! 1400 2014-05-09 14:03:54Z knoop |
|---|
| 29 | ! Initial revision |
|---|
| 30 | ! |
|---|
| 31 | ! |
|---|
| 32 | ! Description: |
|---|
| 33 | ! ------------ |
|---|
| 34 | ! This module contains and supports the random number generating routine ran_parallel. |
|---|
| 35 | ! ran_parallel returns a uniform random deviate between 0.0 and 1.0 |
|---|
| 36 | ! (exclusive of the end point values). |
|---|
| 37 | ! Additionally it provides the generator with five integer for use as initial state space. |
|---|
| 38 | ! The first tree integers (iran, jran, kran) are maintained as non negative values, |
|---|
| 39 | ! while the last two (mran, nran) have 32-bit nonzero values. |
|---|
| 40 | ! Also provided by this module is support for initializing or reinitializing |
|---|
| 41 | ! the state space to a desired standard sequence number, hashing the initial |
|---|
| 42 | ! values to random values, and allocating and deallocating the internal workspace |
|---|
| 43 | ! Random number generator, produces numbers equally distributed in interval |
|---|
| 44 | ! |
|---|
| 45 | ! This routine is taken from the "numerical recipies vol. 2" |
|---|
| 46 | !------------------------------------------------------------------------------! |
|---|
| 47 | |
|---|
| 48 | USE kinds |
|---|
| 49 | |
|---|
| 50 | IMPLICIT NONE |
|---|
| 51 | |
|---|
| 52 | PRIVATE |
|---|
| 53 | PUBLIC random_number_parallel, random_seed_parallel, random_dummy, & |
|---|
| 54 | id_random_array, seq_random_array |
|---|
| 55 | |
|---|
| 56 | INTEGER(isp), SAVE :: lenran=0 !: |
|---|
| 57 | INTEGER(isp), SAVE :: seq=0 !: |
|---|
| 58 | INTEGER(isp), SAVE :: iran0 !: |
|---|
| 59 | INTEGER(isp), SAVE :: jran0 !: |
|---|
| 60 | INTEGER(isp), SAVE :: kran0 !: |
|---|
| 61 | INTEGER(isp), SAVE :: mran0 !: |
|---|
| 62 | INTEGER(isp), SAVE :: nran0 !: |
|---|
| 63 | INTEGER(isp), SAVE :: rans !: |
|---|
| 64 | |
|---|
| 65 | INTEGER(isp), DIMENSION(:, :), POINTER, SAVE :: ranseeds !: |
|---|
| 66 | |
|---|
| 67 | INTEGER(isp), DIMENSION(:), POINTER, SAVE :: iran !: |
|---|
| 68 | INTEGER(isp), DIMENSION(:), POINTER, SAVE :: jran !: |
|---|
| 69 | INTEGER(isp), DIMENSION(:), POINTER, SAVE :: kran !: |
|---|
| 70 | INTEGER(isp), DIMENSION(:), POINTER, SAVE :: mran !: |
|---|
| 71 | INTEGER(isp), DIMENSION(:), POINTER, SAVE :: nran !: |
|---|
| 72 | INTEGER(isp), DIMENSION(:), POINTER, SAVE :: ranv !: |
|---|
| 73 | |
|---|
| 74 | |
|---|
| 75 | |
|---|
| 76 | INTEGER(isp), DIMENSION(:,:), ALLOCATABLE :: id_random_array !: |
|---|
| 77 | INTEGER(isp), DIMENSION(:,:,:), ALLOCATABLE :: seq_random_array !: |
|---|
| 78 | |
|---|
| 79 | REAL(wp), SAVE :: amm !: |
|---|
| 80 | |
|---|
| 81 | REAL(wp) :: random_dummy=0.0 !: |
|---|
| 82 | |
|---|
| 83 | INTERFACE random_number_parallel |
|---|
| 84 | MODULE PROCEDURE ran0_s |
|---|
| 85 | END INTERFACE |
|---|
| 86 | |
|---|
| 87 | INTERFACE random_seed_parallel |
|---|
| 88 | MODULE PROCEDURE random_seed_parallel |
|---|
| 89 | END INTERFACE |
|---|
| 90 | |
|---|
| 91 | INTERFACE ran_hash |
|---|
| 92 | MODULE PROCEDURE ran_hash_v |
|---|
| 93 | END INTERFACE |
|---|
| 94 | |
|---|
| 95 | INTERFACE reallocate |
|---|
| 96 | MODULE PROCEDURE reallocate_iv,reallocate_im |
|---|
| 97 | END INTERFACE |
|---|
| 98 | |
|---|
| 99 | INTERFACE arth |
|---|
| 100 | MODULE PROCEDURE arth_i |
|---|
| 101 | END INTERFACE |
|---|
| 102 | |
|---|
| 103 | CONTAINS |
|---|
| 104 | |
|---|
| 105 | !------------------------------------------------------------------------------! |
|---|
| 106 | ! Description: |
|---|
| 107 | ! ------------ |
|---|
| 108 | ! Lagged Fibonacci generator combined with a Marsaglia shiftsequence. |
|---|
| 109 | ! Returns as harvest a uniform random deviate between 0.0 and 1.0 (exclusive of the end point values). |
|---|
| 110 | ! This generator has the same calling and initialization conventions as Fortran 90's random_number routine. |
|---|
| 111 | ! Use random_seed_parallel to initialize or reinitialize to a particular sequence. |
|---|
| 112 | ! The period of this generator is about 2.0 x 10^28, and it fully vectorizes. |
|---|
| 113 | ! Validity of the integer model assumed by this generator is tested at initialization. |
|---|
| 114 | !------------------------------------------------------------------------------! |
|---|
| 115 | SUBROUTINE ran0_s(harvest) |
|---|
| 116 | |
|---|
| 117 | USE kinds |
|---|
| 118 | |
|---|
| 119 | IMPLICIT NONE |
|---|
| 120 | |
|---|
| 121 | REAL(wp), INTENT(OUT) :: harvest !: |
|---|
| 122 | |
|---|
| 123 | IF (lenran < 1) CALL ran_init(1) !- Initialization routine in ran_state. |
|---|
| 124 | |
|---|
| 125 | !- Update Fibonacci generator, which has period p^2 + p + 1, p = 2^31 - 69. |
|---|
| 126 | rans = iran0 - kran0 |
|---|
| 127 | |
|---|
| 128 | IF (rans < 0) rans = rans + 2147483579_isp |
|---|
| 129 | |
|---|
| 130 | iran0 = jran0 |
|---|
| 131 | jran0 = kran0 |
|---|
| 132 | kran0 = rans |
|---|
| 133 | |
|---|
| 134 | nran0 = ieor( nran0, ishft (nran0, 13) ) !- Update Marsaglia shift sequence with period 2^32 - 1. |
|---|
| 135 | nran0 = ieor( nran0, ishft (nran0, -17) ) |
|---|
| 136 | nran0 = ieor( nran0, ishft (nran0, 5) ) |
|---|
| 137 | |
|---|
| 138 | rans = ieor( nran0, rans ) !- Combine the generators. |
|---|
| 139 | |
|---|
| 140 | harvest = amm * merge( rans, not(rans), rans < 0 ) !- Make the result positive definite (note that amm is negative). |
|---|
| 141 | |
|---|
| 142 | END SUBROUTINE ran0_s |
|---|
| 143 | |
|---|
| 144 | !------------------------------------------------------------------------------! |
|---|
| 145 | ! Description: |
|---|
| 146 | ! ------------ |
|---|
| 147 | ! Initialize or reinitialize the random generator state space to vectors of size length. |
|---|
| 148 | ! The saved variable seq is hashed (via calls to the module routine ran_hash) |
|---|
| 149 | ! to create unique starting seeds, different for each vector component. |
|---|
| 150 | !------------------------------------------------------------------------------! |
|---|
| 151 | SUBROUTINE ran_init( length ) |
|---|
| 152 | |
|---|
| 153 | USE kinds |
|---|
| 154 | |
|---|
| 155 | IMPLICIT NONE |
|---|
| 156 | |
|---|
| 157 | INTEGER(isp), INTENT(IN) :: length !: |
|---|
| 158 | |
|---|
| 159 | INTEGER(isp), PARAMETER:: hg=huge(1_isp) !: |
|---|
| 160 | INTEGER(isp), PARAMETER:: hgm=-hg !: |
|---|
| 161 | INTEGER(isp), PARAMETER:: hgng=hgm-1 !: |
|---|
| 162 | |
|---|
| 163 | INTEGER(isp) :: new !: |
|---|
| 164 | INTEGER(isp) :: j !: |
|---|
| 165 | INTEGER(isp) :: hgt !: |
|---|
| 166 | |
|---|
| 167 | IF ( length < lenran ) RETURN !- Simply return if enough space is already allocated. |
|---|
| 168 | |
|---|
| 169 | hgt = hg |
|---|
| 170 | |
|---|
| 171 | !- The following lines check that kind value isp is in fact a 32-bit integer |
|---|
| 172 | !- with the usual properties that we expect it to have (under negation and wrap-around addition). |
|---|
| 173 | !- If all of these tests are satisfied, then the routines that use this module are portable, |
|---|
| 174 | !- even though they go beyond Fortran 90's integer model. |
|---|
| 175 | |
|---|
| 176 | IF ( hg /= 2147483647 ) CALL ran_error('ran_init: arith assump 1 fails') |
|---|
| 177 | IF ( hgng >= 0 ) CALL ran_error('ran_init: arith assump 2 fails') |
|---|
| 178 | IF ( hgt+1 /= hgng ) CALL ran_error('ran_init: arith assump 3 fails') |
|---|
| 179 | IF ( not(hg) >= 0 ) CALL ran_error('ran_init: arith assump 4 fails') |
|---|
| 180 | IF ( not(hgng) < 0 ) CALL ran_error('ran_init: arith assump 5 fails') |
|---|
| 181 | IF ( hg+hgng >= 0 ) CALL ran_error('ran_init: arith assump 6 fails') |
|---|
| 182 | IF ( not(-1_isp) < 0 ) CALL ran_error('ran_init: arith assump 7 fails') |
|---|
| 183 | IF ( not(0_isp) >= 0 ) CALL ran_error('ran_init: arith assump 8 fails') |
|---|
| 184 | IF ( not(1_isp) >= 0 ) CALL ran_error('ran_init: arith assump 9 fails') |
|---|
| 185 | |
|---|
| 186 | IF ( lenran > 0) THEN !- Reallocate space, or ... |
|---|
| 187 | |
|---|
| 188 | ranseeds => reallocate( ranseeds, length, 5) |
|---|
| 189 | ranv => reallocate( ranv, length-1) |
|---|
| 190 | new = lenran+1 |
|---|
| 191 | |
|---|
| 192 | ELSE !- allocate space. |
|---|
| 193 | |
|---|
| 194 | ALLOCATE(ranseeds(length,5)) |
|---|
| 195 | ALLOCATE(ranv(length-1)) |
|---|
| 196 | new = 1 !- Index of first location not yet initialized. |
|---|
| 197 | amm = nearest(1.0_wp,-1.0_wp)/hgng |
|---|
| 198 | !- Use of nearest is to ensure that returned random deviates are strictly lessthan 1.0. |
|---|
| 199 | IF (amm*hgng >= 1.0 .or. amm*hgng <= 0.0) & |
|---|
| 200 | CALL ran_error('ran_init: arith assump 10 fails') |
|---|
| 201 | |
|---|
| 202 | END IF |
|---|
| 203 | |
|---|
| 204 | !- Set starting values, unique by seq and vector component. |
|---|
| 205 | ranseeds(new:,1) = seq |
|---|
| 206 | ranseeds(new:,2:5)=spread(arth(new,1,size(ranseeds(new:,1))),2,4) |
|---|
| 207 | |
|---|
| 208 | DO j=1,4 !- Hash them. |
|---|
| 209 | CALL ran_hash(ranseeds(new:,j), ranseeds(new:,j+1)) |
|---|
| 210 | END DO |
|---|
| 211 | |
|---|
| 212 | WHERE (ranseeds (new: ,1:3) < 0) & |
|---|
| 213 | ranseeds(new: ,1:3)=not(ranseeds(new: ,1:3)) !- Enforce nonnegativity. |
|---|
| 214 | |
|---|
| 215 | WHERE (ranseeds(new: ,4:5) == 0) ranseeds(new: ,4:5)=1 !- Enforce nonzero. |
|---|
| 216 | |
|---|
| 217 | IF (new == 1) THEN !- Set scalar seeds. |
|---|
| 218 | |
|---|
| 219 | iran0 = ranseeds(1,1) |
|---|
| 220 | jran0 = ranseeds(1,2) |
|---|
| 221 | kran0 = ranseeds(1,3) |
|---|
| 222 | mran0 = ranseeds(1,4) |
|---|
| 223 | nran0 = ranseeds(1,5) |
|---|
| 224 | rans = nran0 |
|---|
| 225 | |
|---|
| 226 | END IF |
|---|
| 227 | |
|---|
| 228 | IF (length > 1) THEN !- Point to vector seeds. |
|---|
| 229 | |
|---|
| 230 | iran => ranseeds(2:,1) |
|---|
| 231 | jran => ranseeds(2:,2) |
|---|
| 232 | kran => ranseeds(2:,3) |
|---|
| 233 | mran => ranseeds(2:,4) |
|---|
| 234 | nran => ranseeds(2:,5) |
|---|
| 235 | ranv = nran |
|---|
| 236 | |
|---|
| 237 | END IF |
|---|
| 238 | |
|---|
| 239 | lenran = length |
|---|
| 240 | |
|---|
| 241 | END SUBROUTINE ran_init |
|---|
| 242 | |
|---|
| 243 | !------------------------------------------------------------------------------! |
|---|
| 244 | ! Description: |
|---|
| 245 | ! ------------ |
|---|
| 246 | ! User interface to release the workspace used by the random number routines. |
|---|
| 247 | !------------------------------------------------------------------------------! |
|---|
| 248 | SUBROUTINE ran_deallocate |
|---|
| 249 | |
|---|
| 250 | IF ( lenran > 0 ) THEN |
|---|
| 251 | |
|---|
| 252 | DEALLOCATE(ranseeds, ranv) |
|---|
| 253 | NULLIFY(ranseeds, ranv, iran, jran, kran, mran, nran) |
|---|
| 254 | lenran = 0 |
|---|
| 255 | |
|---|
| 256 | END IF |
|---|
| 257 | |
|---|
| 258 | END SUBROUTINE ran_deallocate |
|---|
| 259 | |
|---|
| 260 | !------------------------------------------------------------------------------! |
|---|
| 261 | ! Description: |
|---|
| 262 | ! ------------ |
|---|
| 263 | ! User interface for seeding the random number routines. |
|---|
| 264 | ! Syntax is exactly like Fortran 90's random_seed routine, |
|---|
| 265 | ! with one additional argument keyword: random_sequence, set to any integer |
|---|
| 266 | ! value, causes an immediate new initialization, seeded by that integer. |
|---|
| 267 | !------------------------------------------------------------------------------! |
|---|
| 268 | SUBROUTINE random_seed_parallel( random_sequence, state_size, put, get ) |
|---|
| 269 | |
|---|
| 270 | IMPLICIT NONE |
|---|
| 271 | |
|---|
| 272 | INTEGER(isp), OPTIONAL, INTENT(IN) :: random_sequence !: |
|---|
| 273 | INTEGER(isp), OPTIONAL, INTENT(OUT) :: state_size !: |
|---|
| 274 | |
|---|
| 275 | INTEGER(isp), DIMENSION(:), OPTIONAL, INTENT(IN) :: put !: |
|---|
| 276 | INTEGER(isp), DIMENSION(:), OPTIONAL, INTENT(OUT) :: get !: |
|---|
| 277 | |
|---|
| 278 | IF ( present(state_size) ) THEN |
|---|
| 279 | |
|---|
| 280 | state_size = 5 * lenran |
|---|
| 281 | |
|---|
| 282 | ELSE IF ( present(put) ) THEN |
|---|
| 283 | |
|---|
| 284 | IF ( lenran == 0 ) RETURN |
|---|
| 285 | |
|---|
| 286 | ranseeds = reshape( put,shape(ranseeds) ) |
|---|
| 287 | |
|---|
| 288 | WHERE (ranseeds(:,1:3) < 0) ranseeds(: ,1:3) = not(ranseeds(: ,1:3)) |
|---|
| 289 | !- Enforce nonnegativity and nonzero conditions on any user-supplied seeds. |
|---|
| 290 | |
|---|
| 291 | WHERE (ranseeds(:,4:5) == 0) ranseeds(:,4:5) = 1 |
|---|
| 292 | |
|---|
| 293 | iran0 = ranseeds(1,1) |
|---|
| 294 | jran0 = ranseeds(1,2) |
|---|
| 295 | kran0 = ranseeds(1,3) |
|---|
| 296 | mran0 = ranseeds(1,4) |
|---|
| 297 | nran0 = ranseeds(1,5) |
|---|
| 298 | |
|---|
| 299 | ELSE IF ( present(get) ) THEN |
|---|
| 300 | |
|---|
| 301 | IF (lenran == 0) RETURN |
|---|
| 302 | |
|---|
| 303 | ranseeds(1,1:5) = (/ iran0,jran0,kran0,mran0,nran0 /) |
|---|
| 304 | get = reshape( ranseeds, shape(get) ) |
|---|
| 305 | |
|---|
| 306 | ELSE IF ( present(random_sequence) ) THEN |
|---|
| 307 | |
|---|
| 308 | CALL ran_deallocate |
|---|
| 309 | seq = random_sequence |
|---|
| 310 | |
|---|
| 311 | END IF |
|---|
| 312 | |
|---|
| 313 | END SUBROUTINE random_seed_parallel |
|---|
| 314 | |
|---|
| 315 | !------------------------------------------------------------------------------! |
|---|
| 316 | ! Description: |
|---|
| 317 | ! ------------ |
|---|
| 318 | ! DES-like hashing of two 32-bit integers, using shifts, |
|---|
| 319 | ! xor's, and adds to make the internal nonlinear function. |
|---|
| 320 | !------------------------------------------------------------------------------! |
|---|
| 321 | SUBROUTINE ran_hash_v( il, ir ) |
|---|
| 322 | |
|---|
| 323 | IMPLICIT NONE |
|---|
| 324 | |
|---|
| 325 | INTEGER(isp), DIMENSION(:), INTENT(INOUT) :: il !: |
|---|
| 326 | INTEGER(isp), DIMENSION(:), INTENT(INOUT) :: ir !: |
|---|
| 327 | |
|---|
| 328 | INTEGER(isp), DIMENSION(size(il)) :: is !: |
|---|
| 329 | |
|---|
| 330 | INTEGER(isp) :: j !: |
|---|
| 331 | |
|---|
| 332 | DO j=1,4 |
|---|
| 333 | |
|---|
| 334 | is = ir |
|---|
| 335 | ir = ieor( ir, ishft(ir,5) ) + 1422217823 |
|---|
| 336 | ir = ieor( ir, ishft(ir,-16) ) + 1842055030 |
|---|
| 337 | ir = ieor( ir, ishft(ir,9) ) + 80567781 |
|---|
| 338 | ir = ieor( il, ir ) |
|---|
| 339 | il = is |
|---|
| 340 | END DO |
|---|
| 341 | |
|---|
| 342 | END SUBROUTINE ran_hash_v |
|---|
| 343 | |
|---|
| 344 | !------------------------------------------------------------------------------! |
|---|
| 345 | ! Description: |
|---|
| 346 | ! ------------ |
|---|
| 347 | ! User interface to process error-messages |
|---|
| 348 | ! produced by the random_number_parallel module |
|---|
| 349 | !------------------------------------------------------------------------------! |
|---|
| 350 | SUBROUTINE ran_error(string) |
|---|
| 351 | |
|---|
| 352 | CHARACTER(LEN=*), INTENT(IN) :: string !: |
|---|
| 353 | |
|---|
| 354 | write (*,*) 'Error in module random_number_parallel: ',string |
|---|
| 355 | |
|---|
| 356 | STOP 'Program terminated by ran_error' |
|---|
| 357 | |
|---|
| 358 | END SUBROUTINE ran_error |
|---|
| 359 | |
|---|
| 360 | !------------------------------------------------------------------------------! |
|---|
| 361 | ! Description: |
|---|
| 362 | ! ------------ |
|---|
| 363 | ! Reallocates the generators state space "ranseeds" to vectors of size length. |
|---|
| 364 | !------------------------------------------------------------------------------! |
|---|
| 365 | FUNCTION reallocate_iv( p, n ) |
|---|
| 366 | |
|---|
| 367 | INTEGER(isp), DIMENSION(:), POINTER :: p !: |
|---|
| 368 | INTEGER(isp), DIMENSION(:), POINTER :: reallocate_iv !: |
|---|
| 369 | |
|---|
| 370 | INTEGER(isp), INTENT(IN) :: n !: |
|---|
| 371 | |
|---|
| 372 | INTEGER(isp) :: nold !: |
|---|
| 373 | INTEGER(isp) :: ierr !: |
|---|
| 374 | |
|---|
| 375 | ALLOCATE(reallocate_iv(n),stat=ierr) |
|---|
| 376 | |
|---|
| 377 | IF (ierr /= 0) CALL & |
|---|
| 378 | ran_error('reallocate_iv: problem in attempt to allocate memory') |
|---|
| 379 | |
|---|
| 380 | IF (.not. associated(p)) RETURN |
|---|
| 381 | |
|---|
| 382 | nold = size(p) |
|---|
| 383 | |
|---|
| 384 | reallocate_iv(1:min(nold,n)) = p(1:min(nold,n)) |
|---|
| 385 | |
|---|
| 386 | DEALLOCATE(p) |
|---|
| 387 | |
|---|
| 388 | END FUNCTION reallocate_iv |
|---|
| 389 | |
|---|
| 390 | FUNCTION reallocate_im( p, n, m ) |
|---|
| 391 | |
|---|
| 392 | INTEGER(isp), DIMENSION(:,:), POINTER :: p !: |
|---|
| 393 | INTEGER(isp), DIMENSION(:,:), POINTER :: reallocate_im !: |
|---|
| 394 | |
|---|
| 395 | INTEGER(isp), INTENT(IN) :: m !: |
|---|
| 396 | INTEGER(isp), INTENT(IN) :: n !: |
|---|
| 397 | |
|---|
| 398 | INTEGER(isp) :: mold !: |
|---|
| 399 | INTEGER(isp) :: nold !: |
|---|
| 400 | INTEGER(isp) :: ierr !: |
|---|
| 401 | |
|---|
| 402 | ALLOCATE(reallocate_im(n,m),stat=ierr) |
|---|
| 403 | |
|---|
| 404 | IF (ierr /= 0) CALL & |
|---|
| 405 | ran_error('reallocate_im: problem in attempt to allocate memory') |
|---|
| 406 | |
|---|
| 407 | IF (.not. associated(p)) RETURN |
|---|
| 408 | |
|---|
| 409 | nold = size(p,1) |
|---|
| 410 | mold = size(p,2) |
|---|
| 411 | |
|---|
| 412 | reallocate_im(1:min(nold,n),1:min(mold,m)) = & |
|---|
| 413 | p(1:min(nold,n),1:min(mold,m)) |
|---|
| 414 | |
|---|
| 415 | DEALLOCATE(p) |
|---|
| 416 | |
|---|
| 417 | END FUNCTION reallocate_im |
|---|
| 418 | |
|---|
| 419 | !------------------------------------------------------------------------------! |
|---|
| 420 | ! Description: |
|---|
| 421 | ! ------------ |
|---|
| 422 | ! Reallocates the generators state space "ranseeds" to vectors of size length. |
|---|
| 423 | !------------------------------------------------------------------------------! |
|---|
| 424 | FUNCTION arth_i(first,increment,n) |
|---|
| 425 | |
|---|
| 426 | INTEGER(isp), INTENT(IN) :: first !: |
|---|
| 427 | INTEGER(isp), INTENT(IN) :: increment !: |
|---|
| 428 | INTEGER(isp), INTENT(IN) :: n !: |
|---|
| 429 | |
|---|
| 430 | INTEGER(isp), DIMENSION(n) :: arth_i !: |
|---|
| 431 | |
|---|
| 432 | INTEGER(isp) :: k !: |
|---|
| 433 | INTEGER(isp) :: k2 !: |
|---|
| 434 | INTEGER(isp) :: temp !: |
|---|
| 435 | |
|---|
| 436 | INTEGER(isp), PARAMETER :: npar_arth=16 !: |
|---|
| 437 | INTEGER(isp), PARAMETER :: npar2_arth=8 !: |
|---|
| 438 | |
|---|
| 439 | IF (n > 0) arth_i(1) = first |
|---|
| 440 | |
|---|
| 441 | IF (n <= npar_arth) THEN |
|---|
| 442 | |
|---|
| 443 | DO k=2,n |
|---|
| 444 | arth_i(k) = arth_i(k-1)+increment |
|---|
| 445 | END DO |
|---|
| 446 | |
|---|
| 447 | ELSE |
|---|
| 448 | |
|---|
| 449 | DO k=2,npar2_arth |
|---|
| 450 | arth_i(k) = arth_i(k-1) + increment |
|---|
| 451 | END DO |
|---|
| 452 | |
|---|
| 453 | temp = increment * npar2_arth |
|---|
| 454 | k = npar2_arth |
|---|
| 455 | |
|---|
| 456 | DO |
|---|
| 457 | IF (k >= n) EXIT |
|---|
| 458 | k2 = k + k |
|---|
| 459 | arth_i(k+1:min(k2,n)) = temp + arth_i(1:min(k,n-k)) |
|---|
| 460 | temp = temp + temp |
|---|
| 461 | k = k2 |
|---|
| 462 | END DO |
|---|
| 463 | |
|---|
| 464 | END IF |
|---|
| 465 | |
|---|
| 466 | END FUNCTION arth_i |
|---|
| 467 | |
|---|
| 468 | END MODULE random_generator_parallel |
|---|
