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source: palm/trunk/SOURCE/random_generator_parallel_mod.f90 @ 2834

Last change on this file since 2834 was 2718, checked in by maronga, 7 years ago
deleting of deprecated files; headers updated where needed
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1	!> @file random_generator_parallel_mod.f90
2	!------------------------------------------------------------------------------!
3	! This file is part of the PALM model system.
4	!
5	! PALM is free software: you can redistribute it and/or modify it under the
6	! terms of the GNU General Public License as published by the Free Software
7	! Foundation, either version 3 of the License, or (at your option) any later
8	! 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 1997-2018 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! -----------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: random_generator_parallel_mod.f90 2718 2018-01-02 08:49:38Z raasch $
27	! Corrected "Former revisions" section
28	!
29	! 2696 2017-12-14 17:12:51Z kanani
30	! Change in file header (GPL part)
31	! Formatting (MS)
32	!
33	! 2255 2017-06-07 11:58:09Z knoop
34	! Implemented PALM specific error message handling
35	!
36	! 2173 2017-03-08 15:56:54Z knoop
37	!
38	! 2172 2017-03-08 15:55:25Z knoop
39	! Bugfix: added global initialization routine and removed global array
40	!
41	! 2144 2017-02-07 15:32:45Z knoop
42	! Bugfix: compile time parameter replacement prevented
43	!
44	! 2000 2016-08-20 18:09:15Z knoop
45	! Forced header and separation lines into 80 columns
46	!
47	! 1850 2016-04-08 13:29:27Z maronga
48	! Module renamed
49	!
50	!
51	! 1682 2015-10-07 23:56:08Z knoop
52	! Code annotations made doxygen readable
53	!
54	! 1400 2014-05-09 14:03:54Z knoop
55	! Initial revision
56	!
57	!
58	! Description:
59	! ------------
60	!> This module contains and supports the random number generating routine ran_parallel.
61	!> ran_parallel returns a uniform random deviate between 0.0 and 1.0
62	!> (exclusive of the end point values).
63	!> Additionally it provides the generator with five integer for use as initial state space.
64	!> The first tree integers (iran, jran, kran) are maintained as non negative values,
65	!> while the last two (mran, nran) have 32-bit nonzero values.
66	!> Also provided by this module is support for initializing or reinitializing
67	!> the state space to a desired standard sequence number, hashing the initial
68	!> values to random values, and allocating and deallocating the internal workspace
69	!> Random number generator, produces numbers equally distributed in interval
70	!>
71	!> This routine is taken from the "numerical recipies vol. 2"
72	!------------------------------------------------------------------------------!
73	MODULE random_generator_parallel
74
75
76	USE kinds
77
78	IMPLICIT NONE
79
80	PRIVATE
81	PUBLIC random_number_parallel, random_seed_parallel, random_dummy, &
82	id_random_array, seq_random_array, init_parallel_random_generator
83
84	INTEGER(isp), SAVE :: lenran=0 !<
85	INTEGER(isp), SAVE :: seq=0 !<
86	INTEGER(isp), SAVE :: iran0 !<
87	INTEGER(isp), SAVE :: jran0 !<
88	INTEGER(isp), SAVE :: kran0 !<
89	INTEGER(isp), SAVE :: mran0 !<
90	INTEGER(isp), SAVE :: nran0 !<
91	INTEGER(isp), SAVE :: rans !<
92
93	INTEGER(isp), DIMENSION(:, :), POINTER, SAVE :: ranseeds !<
94
95	INTEGER(isp), DIMENSION(:), POINTER, SAVE :: iran !<
96	INTEGER(isp), DIMENSION(:), POINTER, SAVE :: jran !<
97	INTEGER(isp), DIMENSION(:), POINTER, SAVE :: kran !<
98	INTEGER(isp), DIMENSION(:), POINTER, SAVE :: mran !<
99	INTEGER(isp), DIMENSION(:), POINTER, SAVE :: nran !<
100	INTEGER(isp), DIMENSION(:), POINTER, SAVE :: ranv !<
101
102
103
104	INTEGER(isp), DIMENSION(:,:), ALLOCATABLE :: id_random_array !<
105	INTEGER(isp), DIMENSION(:,:,:), ALLOCATABLE :: seq_random_array !<
106
107	REAL(wp), SAVE :: amm !<
108
109	REAL(wp) :: random_dummy=0.0 !<
110
111	INTERFACE init_parallel_random_generator
112	MODULE PROCEDURE init_parallel_random_generator
113	END INTERFACE
114
115	INTERFACE random_number_parallel
116	MODULE PROCEDURE ran0_s
117	END INTERFACE
118
119	INTERFACE random_seed_parallel
120	MODULE PROCEDURE random_seed_parallel
121	END INTERFACE
122
123	INTERFACE ran_hash
124	MODULE PROCEDURE ran_hash_v
125	END INTERFACE
126
127	INTERFACE reallocate
128	MODULE PROCEDURE reallocate_iv,reallocate_im
129	END INTERFACE
130
131	INTERFACE arth
132	MODULE PROCEDURE arth_i
133	END INTERFACE
134
135	CONTAINS
136
137	!------------------------------------------------------------------------------!
138	! Description:
139	! ------------
140	!> Initialize the parallel random number generator for a specific subdomain
141	!------------------------------------------------------------------------------!
142	SUBROUTINE init_parallel_random_generator(nx, ny, nys, nyn, nxl, nxr)
143
144	USE kinds
145
146	USE control_parameters, &
147	ONLY: ensemble_member_nr
148
149	IMPLICIT NONE
150
151	INTEGER(isp), INTENT(IN) :: nx !<
152	INTEGER(isp), INTENT(IN) :: ny !<
153	INTEGER(isp), INTENT(IN) :: nys !<
154	INTEGER(isp), INTENT(IN) :: nyn !<
155	INTEGER(isp), INTENT(IN) :: nxl !<
156	INTEGER(isp), INTENT(IN) :: nxr !<
157
158	INTEGER(iwp) :: i !<
159	INTEGER(iwp) :: j !<
160
161	!-- Allocate ID-array and state-space-array
162	ALLOCATE ( seq_random_array(5,nys:nyn,nxl:nxr) )
163	ALLOCATE ( id_random_array(nys:nyn,nxl:nxr) )
164	seq_random_array = 0
165	id_random_array = 0
166
167	!-- Asigning an ID to every vertical gridpoint column
168	!-- dependig on the ensemble run number.
169	DO i=nxl, nxr
170	DO j=nys, nyn
171	id_random_array(j,i) = j(nx+1.0_wp) + i + 1.0_wp + 1E6 &
172	( ensemble_member_nr - 1000 )
173	ENDDO
174	ENDDO
175	!-- Initializing with random_seed_parallel for every vertical
176	!-- gridpoint column.
177	random_dummy=0
178	DO i = nxl, nxr
179	DO j = nys, nyn
180	CALL random_seed_parallel (random_sequence=id_random_array(j, i))
181	CALL random_number_parallel (random_dummy)
182	CALL random_seed_parallel (get=seq_random_array(:, j, i))
183	ENDDO
184	ENDDO
185
186	END SUBROUTINE init_parallel_random_generator
187
188	!------------------------------------------------------------------------------!
189	! Description:
190	! ------------
191	!> Lagged Fibonacci generator combined with a Marsaglia shiftsequence.
192	!> Returns as harvest a uniform random deviate between 0.0 and 1.0 (exclusive of the end point values).
193	!> This generator has the same calling and initialization conventions as Fortran 90's random_number routine.
194	!> Use random_seed_parallel to initialize or reinitialize to a particular sequence.
195	!> The period of this generator is about 2.0 x 10^28, and it fully vectorizes.
196	!> Validity of the integer model assumed by this generator is tested at initialization.
197	!------------------------------------------------------------------------------!
198	SUBROUTINE ran0_s(harvest)
199
200	USE kinds
201
202	IMPLICIT NONE
203
204	REAL(wp), INTENT(OUT) :: harvest !<
205
206	IF (lenran < 1) CALL ran_init(1) !- Initialization routine in ran_state.
207
208	!- Update Fibonacci generator, which has period p^2 + p + 1, p = 2^31 - 69.
209	rans = iran0 - kran0
210
211	IF (rans < 0) rans = rans + 2147483579_isp
212
213	iran0 = jran0
214	jran0 = kran0
215	kran0 = rans
216
217	nran0 = ieor( nran0, ishft (nran0, 13) ) !- Update Marsaglia shift sequence with period 2^32 - 1.
218	nran0 = ieor( nran0, ishft (nran0, -17) )
219	nran0 = ieor( nran0, ishft (nran0, 5) )
220
221	rans = ieor( nran0, rans ) !- Combine the generators.
222
223	harvest = amm * merge( rans, not(rans), rans < 0 ) !- Make the result positive definite (note that amm is negative).
224
225	END SUBROUTINE ran0_s
226
227	!------------------------------------------------------------------------------!
228	! Description:
229	! ------------
230	!> Initialize or reinitialize the random generator state space to vectors of size length.
231	!> The saved variable seq is hashed (via calls to the module routine ran_hash)
232	!> to create unique starting seeds, different for each vector component.
233	!------------------------------------------------------------------------------!
234	SUBROUTINE ran_init( length )
235
236	USE kinds
237
238	IMPLICIT NONE
239
240	INTEGER(isp), INTENT(IN) :: length !<
241
242	INTEGER(isp) :: hg !<
243	INTEGER(isp) :: hgm !<
244	INTEGER(isp) :: hgng !<
245
246	INTEGER(isp) :: new !<
247	INTEGER(isp) :: j !<
248	INTEGER(isp) :: hgt !<
249
250	IF ( length < lenran ) RETURN !- Simply return if enough space is already allocated.
251
252	hg=huge(1_isp)
253	hgm=-hg
254	hgng=hgm-1
255	hgt = hg
256
257	!- The following lines check that kind value isp is in fact a 32-bit integer
258	!- with the usual properties that we expect it to have (under negation and wrap-around addition).
259	!- If all of these tests are satisfied, then the routines that use this module are portable,
260	!- even though they go beyond Fortran 90's integer model.
261
262	IF ( hg /= 2147483647 ) CALL ran_error('arithmetic assumption 1 failed')
263	IF ( hgng >= 0 ) CALL ran_error('arithmetic assumption 2 failed')
264	IF ( hgt+1 /= hgng ) CALL ran_error('arithmetic assumption 3 failed')
265	IF ( not(hg) >= 0 ) CALL ran_error('arithmetic assumption 4 failed')
266	IF ( not(hgng) < 0 ) CALL ran_error('arithmetic assumption 5 failed')
267	IF ( hg+hgng >= 0 ) CALL ran_error('arithmetic assumption 6 failed')
268	IF ( not(-1_isp) < 0 ) CALL ran_error('arithmetic assumption 7 failed')
269	IF ( not(0_isp) >= 0 ) CALL ran_error('arithmetic assumption 8 failed')
270	IF ( not(1_isp) >= 0 ) CALL ran_error('arithmetic assumption 9 failed')
271
272	IF ( lenran > 0) THEN !- Reallocate space, or ...
273
274	ranseeds => reallocate( ranseeds, length, 5)
275	ranv => reallocate( ranv, length-1)
276	new = lenran+1
277
278	ELSE !- allocate space.
279
280	ALLOCATE(ranseeds(length,5))
281	ALLOCATE(ranv(length-1))
282	new = 1 !- Index of first location not yet initialized.
283	amm = nearest(1.0_wp,-1.0_wp)/hgng
284	!- Use of nearest is to ensure that returned random deviates are strictly lessthan 1.0.
285	IF (ammhgng >= 1.0 .or. ammhgng <= 0.0) &
286	CALL ran_error('arithmetic assumption 10 failed')
287
288	END IF
289
290	!- Set starting values, unique by seq and vector component.
291	ranseeds(new:,1) = seq
292	ranseeds(new:,2:5)=spread(arth(new,1,size(ranseeds(new:,1))),2,4)
293
294	DO j=1,4 !- Hash them.
295	CALL ran_hash(ranseeds(new:,j), ranseeds(new:,j+1))
296	END DO
297
298	WHERE (ranseeds (new: ,1:3) < 0) &
299	ranseeds(new: ,1:3)=not(ranseeds(new: ,1:3)) !- Enforce nonnegativity.
300
301	WHERE (ranseeds(new: ,4:5) == 0) ranseeds(new: ,4:5)=1 !- Enforce nonzero.
302
303	IF (new == 1) THEN !- Set scalar seeds.
304
305	iran0 = ranseeds(1,1)
306	jran0 = ranseeds(1,2)
307	kran0 = ranseeds(1,3)
308	mran0 = ranseeds(1,4)
309	nran0 = ranseeds(1,5)
310	rans = nran0
311
312	END IF
313
314	IF (length > 1) THEN !- Point to vector seeds.
315
316	iran => ranseeds(2:,1)
317	jran => ranseeds(2:,2)
318	kran => ranseeds(2:,3)
319	mran => ranseeds(2:,4)
320	nran => ranseeds(2:,5)
321	ranv = nran
322
323	END IF
324
325	lenran = length
326
327	END SUBROUTINE ran_init
328
329	!------------------------------------------------------------------------------!
330	! Description:
331	! ------------
332	!> User interface to release the workspace used by the random number routines.
333	!------------------------------------------------------------------------------!
334	SUBROUTINE ran_deallocate
335
336	IF ( lenran > 0 ) THEN
337
338	DEALLOCATE(ranseeds, ranv)
339	NULLIFY(ranseeds, ranv, iran, jran, kran, mran, nran)
340	lenran = 0
341
342	END IF
343
344	END SUBROUTINE ran_deallocate
345
346	!------------------------------------------------------------------------------!
347	! Description:
348	! ------------
349	!> User interface for seeding the random number routines.
350	!> Syntax is exactly like Fortran 90's random_seed routine,
351	!> with one additional argument keyword: random_sequence, set to any integer
352	!> value, causes an immediate new initialization, seeded by that integer.
353	!------------------------------------------------------------------------------!
354	SUBROUTINE random_seed_parallel( random_sequence, state_size, put, get )
355
356	IMPLICIT NONE
357
358	INTEGER(isp), OPTIONAL, INTENT(IN) :: random_sequence !<
359	INTEGER(isp), OPTIONAL, INTENT(OUT) :: state_size !<
360
361	INTEGER(isp), DIMENSION(:), OPTIONAL, INTENT(IN) :: put !<
362	INTEGER(isp), DIMENSION(:), OPTIONAL, INTENT(OUT) :: get !<
363
364	IF ( present(state_size) ) THEN
365
366	state_size = 5 * lenran
367
368	ELSE IF ( present(put) ) THEN
369
370	IF ( lenran == 0 ) RETURN
371
372	ranseeds = reshape( put,shape(ranseeds) )
373
374	WHERE (ranseeds(:,1:3) < 0) ranseeds(: ,1:3) = not(ranseeds(: ,1:3))
375	!- Enforce nonnegativity and nonzero conditions on any user-supplied seeds.
376
377	WHERE (ranseeds(:,4:5) == 0) ranseeds(:,4:5) = 1
378
379	iran0 = ranseeds(1,1)
380	jran0 = ranseeds(1,2)
381	kran0 = ranseeds(1,3)
382	mran0 = ranseeds(1,4)
383	nran0 = ranseeds(1,5)
384
385	ELSE IF ( present(get) ) THEN
386
387	IF (lenran == 0) RETURN
388
389	ranseeds(1,1:5) = (/ iran0,jran0,kran0,mran0,nran0 /)
390	get = reshape( ranseeds, shape(get) )
391
392	ELSE IF ( present(random_sequence) ) THEN
393
394	CALL ran_deallocate
395	seq = random_sequence
396
397	END IF
398
399	END SUBROUTINE random_seed_parallel
400
401	!------------------------------------------------------------------------------!
402	! Description:
403	! ------------
404	!> DES-like hashing of two 32-bit integers, using shifts,
405	!> xor's, and adds to make the internal nonlinear function.
406	!------------------------------------------------------------------------------!
407	SUBROUTINE ran_hash_v( il, ir )
408
409	IMPLICIT NONE
410
411	INTEGER(isp), DIMENSION(:), INTENT(INOUT) :: il !<
412	INTEGER(isp), DIMENSION(:), INTENT(INOUT) :: ir !<
413
414	INTEGER(isp), DIMENSION(size(il)) :: is !<
415
416	INTEGER(isp) :: j !<
417
418	DO j=1,4
419
420	is = ir
421	ir = ieor( ir, ishft(ir,5) ) + 1422217823
422	ir = ieor( ir, ishft(ir,-16) ) + 1842055030
423	ir = ieor( ir, ishft(ir,9) ) + 80567781
424	ir = ieor( il, ir )
425	il = is
426	END DO
427
428	END SUBROUTINE ran_hash_v
429
430	!------------------------------------------------------------------------------!
431	! Description:
432	! ------------
433	!> User interface to process error-messages
434	!> produced by the random_number_parallel module
435	!------------------------------------------------------------------------------!
436	SUBROUTINE ran_error(string)
437
438	USE control_parameters, &
439	ONLY: message_string
440
441	CHARACTER(LEN=*), INTENT(IN) :: string !< Error message string
442
443	message_string = 'incompatible integer arithmetic: ' // TRIM( string )
444	CALL message( 'ran_init', 'PA0453', 1, 2, 0, 6, 0 )
445
446	END SUBROUTINE ran_error
447
448	!------------------------------------------------------------------------------!
449	! Description:
450	! ------------
451	!> Reallocates the generators state space "ranseeds" to vectors of size length.
452	!------------------------------------------------------------------------------!
453	FUNCTION reallocate_iv( p, n )
454
455	USE control_parameters, &
456	ONLY: message_string
457
458	INTEGER(isp), DIMENSION(:), POINTER :: p !<
459	INTEGER(isp), DIMENSION(:), POINTER :: reallocate_iv !<
460
461	INTEGER(isp), INTENT(IN) :: n !<
462
463	INTEGER(isp) :: nold !<
464	INTEGER(isp) :: ierr !<
465
466	ALLOCATE(reallocate_iv(n),stat=ierr)
467
468	IF (ierr /= 0) THEN
469	message_string = 'problem in attempt to allocate memory'
470	CALL message( 'reallocate_iv', 'PA0454', 1, 2, 0, 6, 0 )
471	END IF
472
473	IF (.not. associated(p)) RETURN
474
475	nold = size(p)
476
477	reallocate_iv(1:min(nold,n)) = p(1:min(nold,n))
478
479	DEALLOCATE(p)
480
481	END FUNCTION reallocate_iv
482
483	FUNCTION reallocate_im( p, n, m )
484
485	USE control_parameters, &
486	ONLY: message_string
487
488	INTEGER(isp), DIMENSION(:,:), POINTER :: p !<
489	INTEGER(isp), DIMENSION(:,:), POINTER :: reallocate_im !<
490
491	INTEGER(isp), INTENT(IN) :: m !<
492	INTEGER(isp), INTENT(IN) :: n !<
493
494	INTEGER(isp) :: mold !<
495	INTEGER(isp) :: nold !<
496	INTEGER(isp) :: ierr !<
497
498	ALLOCATE(reallocate_im(n,m),stat=ierr)
499
500	IF (ierr /= 0) THEN
501	message_string = 'problem in attempt to allocate memory'
502	CALL message( 'reallocate_im', 'PA0454', 1, 2, 0, 6, 0 )
503	END IF
504
505	IF (.not. associated(p)) RETURN
506
507	nold = size(p,1)
508	mold = size(p,2)
509
510	reallocate_im(1:min(nold,n),1:min(mold,m)) = &
511	p(1:min(nold,n),1:min(mold,m))
512
513	DEALLOCATE(p)
514
515	END FUNCTION reallocate_im
516
517	!------------------------------------------------------------------------------!
518	! Description:
519	! ------------
520	!> Reallocates the generators state space "ranseeds" to vectors of size length.
521	!------------------------------------------------------------------------------!
522	FUNCTION arth_i(first,increment,n)
523
524	INTEGER(isp), INTENT(IN) :: first !<
525	INTEGER(isp), INTENT(IN) :: increment !<
526	INTEGER(isp), INTENT(IN) :: n !<
527
528	INTEGER(isp), DIMENSION(n) :: arth_i !<
529
530	INTEGER(isp) :: k !<
531	INTEGER(isp) :: k2 !<
532	INTEGER(isp) :: temp !<
533
534	INTEGER(isp), PARAMETER :: npar_arth=16 !<
535	INTEGER(isp), PARAMETER :: npar2_arth=8 !<
536
537	IF (n > 0) arth_i(1) = first
538
539	IF (n <= npar_arth) THEN
540
541	DO k=2,n
542	arth_i(k) = arth_i(k-1)+increment
543	END DO
544
545	ELSE
546
547	DO k=2,npar2_arth
548	arth_i(k) = arth_i(k-1) + increment
549	END DO
550
551	temp = increment * npar2_arth
552	k = npar2_arth
553
554	DO
555	IF (k >= n) EXIT
556	k2 = k + k
557	arth_i(k+1:min(k2,n)) = temp + arth_i(1:min(k,n-k))
558	temp = temp + temp
559	k = k2
560	END DO
561
562	END IF
563
564	END FUNCTION arth_i
565
566	END MODULE random_generator_parallel

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