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source: palm/trunk/SOURCE/global_min_max.f90 @ 2515

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1	!> @file global_min_max.f90
2	!------------------------------------------------------------------------------!
3	! This file is part of PALM.
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 1997-2017 Leibniz Universitaet Hannover
18	!------------------------------------------------------------------------------!
19	!
20	! Current revisions:
21	! ------------------
22	!
23	!
24	! Former revisions:
25	! -----------------
26	! $Id: global_min_max.f90 2101 2017-01-05 16:42:31Z kanani $
27	!
28	! 2000 2016-08-20 18:09:15Z knoop
29	! Forced header and separation lines into 80 columns
30	!
31	! 1682 2015-10-07 23:56:08Z knoop
32	! Code annotations made doxygen readable
33	!
34	! 1353 2014-04-08 15:21:23Z heinze
35	! REAL constants provided with KIND-attribute
36	!
37	! 1320 2014-03-20 08:40:49Z raasch
38	! ONLY-attribute added to USE-statements,
39	! kind-parameters added to all INTEGER and REAL declaration statements,
40	! kinds are defined in new module kinds,
41	! revision history before 2012 removed,
42	! comment fields (!:) to be used for variable explanations added to
43	! all variable declaration statements
44	!
45	! 1188 2013-06-20 12:00:08Z heinze
46	! Bugfix in modes 'min' and 'max': x and z component were interchanged
47	!
48	! 1036 2012-10-22 13:43:42Z raasch
49	! code put under GPL (PALM 3.9)
50	!
51	! 866 2012-03-28 06:44:41Z raasch
52	! new mode "absoff" accounts for an offset in the respective array
53	!
54	! Revision 1.1 1997/07/24 11:14:03 raasch
55	! Initial revision
56	!
57	!
58	! Description:
59	! ------------
60	!> Determine the array minimum/maximum and the corresponding indices.
61	!------------------------------------------------------------------------------!
62	SUBROUTINE global_min_max( i1, i2, j1, j2, k1, k2, ar, mode, offset, value, &
63	value_ijk, value1, value1_ijk )
64
65
66	USE indices, &
67	ONLY: nbgp, ny, nx
68
69	USE kinds
70
71	USE pegrid
72
73	IMPLICIT NONE
74
75	CHARACTER (LEN=*) :: mode !<
76
77	INTEGER(iwp) :: i !<
78	INTEGER(iwp) :: i1 !<
79	INTEGER(iwp) :: i2 !<
80	INTEGER(iwp) :: id_fmax !<
81	INTEGER(iwp) :: id_fmin !<
82	INTEGER(iwp) :: j !<
83	INTEGER(iwp) :: j1 !<
84	INTEGER(iwp) :: j2 !<
85	INTEGER(iwp) :: k !<
86	INTEGER(iwp) :: k1 !<
87	INTEGER(iwp) :: k2 !<
88	INTEGER(iwp) :: fmax_ijk(3) !<
89	INTEGER(iwp) :: fmax_ijk_l(3) !<
90	INTEGER(iwp) :: fmin_ijk(3) !<
91	INTEGER(iwp) :: fmin_ijk_l(3) !<
92	INTEGER(iwp) :: value_ijk(3) !<
93
94	INTEGER(iwp), OPTIONAL :: value1_ijk(3) !<
95
96	REAL(wp) :: offset !<
97	REAL(wp) :: value !<
98	REAL(wp) :: ar(i1:i2,j1:j2,k1:k2) !<
99
100	#if defined( __ibm )
101	REAL(sp) :: fmax(2) !<
102	REAL(sp) :: fmax_l(2) !<
103	REAL(sp) :: fmin(2) !<
104	REAL(sp) :: fmin_l(2) !<
105	! on 32bit-machines MPI_2REAL must not be replaced
106	! by MPI_2DOUBLE_PRECISION
107	#else
108	REAL(wp) :: fmax(2) !<
109	REAL(wp) :: fmax_l(2) !<
110	REAL(wp) :: fmin(2) !<
111	REAL(wp) :: fmin_l(2) !<
112	#endif
113	REAL(wp), OPTIONAL :: value1 !<
114
115
116	!
117	!-- Determine array minimum
118	IF ( mode == 'min' .OR. mode == 'minmax' ) THEN
119
120	!
121	!-- Determine the local minimum
122	fmin_ijk_l = MINLOC( ar )
123	fmin_ijk_l(1) = i1 + fmin_ijk_l(1) - 1 ! MINLOC assumes lowerbound = 1
124	fmin_ijk_l(2) = j1 + fmin_ijk_l(2) - nbgp
125	fmin_ijk_l(3) = k1 + fmin_ijk_l(3) - nbgp
126	fmin_l(1) = ar(fmin_ijk_l(1),fmin_ijk_l(2),fmin_ijk_l(3))
127
128	#if defined( __parallel )
129	fmin_l(2) = myid
130	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
131	CALL MPI_ALLREDUCE( fmin_l, fmin, 1, MPI_2REAL, MPI_MINLOC, comm2d, &
132	ierr )
133
134	!
135	!-- Determine the global minimum. Result stored on PE0.
136	id_fmin = fmin(2)
137	IF ( id_fmin /= 0 ) THEN
138	IF ( myid == 0 ) THEN
139	CALL MPI_RECV( fmin_ijk, 3, MPI_INTEGER, id_fmin, 0, comm2d, &
140	status, ierr )
141	ELSEIF ( myid == id_fmin ) THEN
142	CALL MPI_SEND( fmin_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr )
143	ENDIF
144	ELSE
145	fmin_ijk = fmin_ijk_l
146	ENDIF
147	!
148	!-- Send the indices of the just determined array minimum to other PEs
149	CALL MPI_BCAST( fmin_ijk, 3, MPI_INTEGER, 0, comm2d, ierr )
150	#else
151	fmin(1) = fmin_l(1)
152	fmin_ijk = fmin_ijk_l
153	#endif
154
155	ENDIF
156
157	!
158	!-- Determine array maximum
159	IF ( mode == 'max' .OR. mode == 'minmax' ) THEN
160
161	!
162	!-- Determine the local maximum
163	fmax_ijk_l = MAXLOC( ar )
164	fmax_ijk_l(1) = i1 + fmax_ijk_l(1) - 1 ! MAXLOC assumes lowerbound = 1
165	fmax_ijk_l(2) = j1 + fmax_ijk_l(2) - nbgp
166	fmax_ijk_l(3) = k1 + fmax_ijk_l(3) - nbgp
167	fmax_l(1) = ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3))
168
169	#if defined( __parallel )
170	fmax_l(2) = myid
171	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
172	CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, &
173	ierr )
174
175	!
176	!-- Determine the global maximum. Result stored on PE0.
177	id_fmax = fmax(2)
178	IF ( id_fmax /= 0 ) THEN
179	IF ( myid == 0 ) THEN
180	CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, &
181	status, ierr )
182	ELSEIF ( myid == id_fmax ) THEN
183	CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr )
184	ENDIF
185	ELSE
186	fmax_ijk = fmax_ijk_l
187	ENDIF
188	!
189	!-- send the indices of the just determined array maximum to other PEs
190	CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr )
191	#else
192	fmax(1) = fmax_l(1)
193	fmax_ijk = fmax_ijk_l
194	#endif
195
196	ENDIF
197
198	!
199	!-- Determine absolute array maximum
200	IF ( mode == 'abs' ) THEN
201
202	!
203	!-- Determine the local absolut maximum
204	fmax_l(1) = 0.0_wp
205	fmax_ijk_l(1) = i1
206	fmax_ijk_l(2) = j1
207	fmax_ijk_l(3) = k1
208	DO k = k1, k2
209	DO j = j1, j2
210	DO i = i1, i2
211	IF ( ABS( ar(i,j,k) ) > fmax_l(1) ) THEN
212	fmax_l(1) = ABS( ar(i,j,k) )
213	fmax_ijk_l(1) = i
214	fmax_ijk_l(2) = j
215	fmax_ijk_l(3) = k
216	ENDIF
217	ENDDO
218	ENDDO
219	ENDDO
220
221	!
222	!-- Set a flag in case that the determined value is negative.
223	!-- A constant offset has to be subtracted in order to handle the special
224	!-- case i=0 correctly
225	IF ( ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) < 0.0_wp ) THEN
226	fmax_ijk_l(1) = -fmax_ijk_l(1) - 10
227	ENDIF
228
229	#if defined( __parallel )
230	fmax_l(2) = myid
231	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
232	CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, &
233	ierr )
234
235	!
236	!-- Determine the global absolut maximum. Result stored on PE0.
237	id_fmax = fmax(2)
238	IF ( id_fmax /= 0 ) THEN
239	IF ( myid == 0 ) THEN
240	CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, &
241	status, ierr )
242	ELSEIF ( myid == id_fmax ) THEN
243	CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr )
244	ENDIF
245	ELSE
246	fmax_ijk = fmax_ijk_l
247	ENDIF
248	!
249	!-- Send the indices of the just determined absolut maximum to other PEs
250	CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr )
251	#else
252	fmax(1) = fmax_l(1)
253	fmax_ijk = fmax_ijk_l
254	#endif
255
256	ENDIF
257
258	!
259	!-- Determine absolute maximum of ( array - offset )
260	IF ( mode == 'absoff' ) THEN
261
262	!
263	!-- Determine the local absolut maximum
264	fmax_l(1) = 0.0_wp
265	fmax_ijk_l(1) = i1
266	fmax_ijk_l(2) = j1
267	fmax_ijk_l(3) = k1
268	DO k = k1, k2
269	DO j = j1, j2
270	!
271	!-- Attention: the lowest gridpoint is excluded here, because there
272	!-- --------- is no advection at nzb=0 and mode 'absoff' is only
273	!-- used for calculating u,v extrema for CFL-criteria
274	DO i = i1+1, i2
275	IF ( ABS( ar(i,j,k) - offset ) > fmax_l(1) ) THEN
276	fmax_l(1) = ABS( ar(i,j,k) - offset )
277	fmax_ijk_l(1) = i
278	fmax_ijk_l(2) = j
279	fmax_ijk_l(3) = k
280	ENDIF
281	ENDDO
282	ENDDO
283	ENDDO
284
285	!
286	!-- Set a flag in case that the determined value is negative.
287	!-- A constant offset has to be subtracted in order to handle the special
288	!-- case i=0 correctly
289	IF ( ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) < 0.0_wp ) THEN
290	fmax_ijk_l(1) = -fmax_ijk_l(1) - 10
291	ENDIF
292
293	#if defined( __parallel )
294	fmax_l(2) = myid
295	IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr )
296	CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, &
297	ierr )
298
299	!
300	!-- Determine the global absolut maximum. Result stored on PE0.
301	id_fmax = fmax(2)
302	IF ( id_fmax /= 0 ) THEN
303	IF ( myid == 0 ) THEN
304	CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, &
305	status, ierr )
306	ELSEIF ( myid == id_fmax ) THEN
307	CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr )
308	ENDIF
309	ELSE
310	fmax_ijk = fmax_ijk_l
311	ENDIF
312	!
313	!-- Send the indices of the just determined absolut maximum to other PEs
314	CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr )
315	#else
316	fmax(1) = fmax_l(1)
317	fmax_ijk = fmax_ijk_l
318	#endif
319
320	ENDIF
321
322	!
323	!-- Determine output parameters
324	SELECT CASE( mode )
325
326	CASE( 'min' )
327
328	value = fmin(1)
329	value_ijk = fmin_ijk
330
331	CASE( 'max' )
332
333	value = fmax(1)
334	value_ijk = fmax_ijk
335
336	CASE( 'minmax' )
337
338	value = fmin(1)
339	value_ijk = fmin_ijk
340	value1 = fmax(1)
341	value1_ijk = fmax_ijk
342
343	CASE( 'abs', 'absoff' )
344
345	value = fmax(1)
346	value_ijk = fmax_ijk
347	IF ( fmax_ijk(1) < 0 ) THEN
348	value = -value
349	value_ijk(1) = -value_ijk(1) - 10 !???
350	ENDIF
351
352	END SELECT
353
354	!
355	!-- Limit index values to the range 0..nx, 0..ny
356	IF ( value_ijk(3) < 0 ) value_ijk(3) = nx +1 + value_ijk(3)
357	IF ( value_ijk(3) > nx ) value_ijk(3) = value_ijk(3) - (nx+1)
358	IF ( value_ijk(2) < 0 ) value_ijk(2) = ny +1 + value_ijk(2)
359	IF ( value_ijk(2) > ny ) value_ijk(2) = value_ijk(2) - (ny+1)
360
361
362	END SUBROUTINE global_min_max

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