1 | !> @file global_min_max.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 1997-2019 Leibniz Universitaet Hannover |
---|
18 | !------------------------------------------------------------------------------! |
---|
19 | ! |
---|
20 | ! Current revisions: |
---|
21 | ! ------------------ |
---|
22 | ! |
---|
23 | ! |
---|
24 | ! Former revisions: |
---|
25 | ! ----------------- |
---|
26 | ! $Id: global_min_max.f90 4182 2019-08-22 15:20:23Z knoop $ |
---|
27 | ! Corrected "Former revisions" section |
---|
28 | ! |
---|
29 | ! 3655 2019-01-07 16:51:22Z knoop |
---|
30 | ! Corrected "Former revisions" section |
---|
31 | ! |
---|
32 | ! Revision 1.1 1997/07/24 11:14:03 raasch |
---|
33 | ! Initial revision |
---|
34 | ! |
---|
35 | ! |
---|
36 | ! Description: |
---|
37 | ! ------------ |
---|
38 | !> Determine the array minimum/maximum and the corresponding indices. |
---|
39 | !------------------------------------------------------------------------------! |
---|
40 | SUBROUTINE global_min_max( i1, i2, j1, j2, k1, k2, ar, mode, offset, value, & |
---|
41 | value_ijk, value1, value1_ijk ) |
---|
42 | |
---|
43 | |
---|
44 | USE indices, & |
---|
45 | ONLY: nbgp, ny, nx |
---|
46 | |
---|
47 | USE kinds |
---|
48 | |
---|
49 | USE pegrid |
---|
50 | |
---|
51 | IMPLICIT NONE |
---|
52 | |
---|
53 | CHARACTER (LEN=*) :: mode !< |
---|
54 | |
---|
55 | INTEGER(iwp) :: i !< |
---|
56 | INTEGER(iwp) :: i1 !< |
---|
57 | INTEGER(iwp) :: i2 !< |
---|
58 | INTEGER(iwp) :: id_fmax !< |
---|
59 | INTEGER(iwp) :: id_fmin !< |
---|
60 | INTEGER(iwp) :: j !< |
---|
61 | INTEGER(iwp) :: j1 !< |
---|
62 | INTEGER(iwp) :: j2 !< |
---|
63 | INTEGER(iwp) :: k !< |
---|
64 | INTEGER(iwp) :: k1 !< |
---|
65 | INTEGER(iwp) :: k2 !< |
---|
66 | INTEGER(iwp) :: fmax_ijk(3) !< |
---|
67 | INTEGER(iwp) :: fmax_ijk_l(3) !< |
---|
68 | INTEGER(iwp) :: fmin_ijk(3) !< |
---|
69 | INTEGER(iwp) :: fmin_ijk_l(3) !< |
---|
70 | INTEGER(iwp) :: value_ijk(3) !< |
---|
71 | |
---|
72 | INTEGER(iwp), OPTIONAL :: value1_ijk(3) !< |
---|
73 | |
---|
74 | REAL(wp) :: offset !< |
---|
75 | REAL(wp) :: value !< |
---|
76 | REAL(wp) :: ar(i1:i2,j1:j2,k1:k2) !< |
---|
77 | |
---|
78 | #if defined( __ibm ) |
---|
79 | REAL(sp) :: fmax(2) !< |
---|
80 | REAL(sp) :: fmax_l(2) !< |
---|
81 | REAL(sp) :: fmin(2) !< |
---|
82 | REAL(sp) :: fmin_l(2) !< |
---|
83 | ! on 32bit-machines MPI_2REAL must not be replaced |
---|
84 | ! by MPI_2DOUBLE_PRECISION |
---|
85 | #else |
---|
86 | REAL(wp) :: fmax(2) !< |
---|
87 | REAL(wp) :: fmax_l(2) !< |
---|
88 | REAL(wp) :: fmin(2) !< |
---|
89 | REAL(wp) :: fmin_l(2) !< |
---|
90 | #endif |
---|
91 | REAL(wp), OPTIONAL :: value1 !< |
---|
92 | |
---|
93 | |
---|
94 | ! |
---|
95 | !-- Determine array minimum |
---|
96 | IF ( mode == 'min' .OR. mode == 'minmax' ) THEN |
---|
97 | |
---|
98 | ! |
---|
99 | !-- Determine the local minimum |
---|
100 | fmin_ijk_l = MINLOC( ar ) |
---|
101 | fmin_ijk_l(1) = i1 + fmin_ijk_l(1) - 1 ! MINLOC assumes lowerbound = 1 |
---|
102 | fmin_ijk_l(2) = j1 + fmin_ijk_l(2) - nbgp |
---|
103 | fmin_ijk_l(3) = k1 + fmin_ijk_l(3) - nbgp |
---|
104 | fmin_l(1) = ar(fmin_ijk_l(1),fmin_ijk_l(2),fmin_ijk_l(3)) |
---|
105 | |
---|
106 | #if defined( __parallel ) |
---|
107 | fmin_l(2) = myid |
---|
108 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
109 | CALL MPI_ALLREDUCE( fmin_l, fmin, 1, MPI_2REAL, MPI_MINLOC, comm2d, & |
---|
110 | ierr ) |
---|
111 | |
---|
112 | ! |
---|
113 | !-- Determine the global minimum. Result stored on PE0. |
---|
114 | id_fmin = fmin(2) |
---|
115 | IF ( id_fmin /= 0 ) THEN |
---|
116 | IF ( myid == 0 ) THEN |
---|
117 | CALL MPI_RECV( fmin_ijk, 3, MPI_INTEGER, id_fmin, 0, comm2d, & |
---|
118 | status, ierr ) |
---|
119 | ELSEIF ( myid == id_fmin ) THEN |
---|
120 | CALL MPI_SEND( fmin_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
---|
121 | ENDIF |
---|
122 | ELSE |
---|
123 | fmin_ijk = fmin_ijk_l |
---|
124 | ENDIF |
---|
125 | ! |
---|
126 | !-- Send the indices of the just determined array minimum to other PEs |
---|
127 | CALL MPI_BCAST( fmin_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
---|
128 | #else |
---|
129 | fmin(1) = fmin_l(1) |
---|
130 | fmin_ijk = fmin_ijk_l |
---|
131 | #endif |
---|
132 | |
---|
133 | ENDIF |
---|
134 | |
---|
135 | ! |
---|
136 | !-- Determine array maximum |
---|
137 | IF ( mode == 'max' .OR. mode == 'minmax' ) THEN |
---|
138 | |
---|
139 | ! |
---|
140 | !-- Determine the local maximum |
---|
141 | fmax_ijk_l = MAXLOC( ar ) |
---|
142 | fmax_ijk_l(1) = i1 + fmax_ijk_l(1) - 1 ! MAXLOC assumes lowerbound = 1 |
---|
143 | fmax_ijk_l(2) = j1 + fmax_ijk_l(2) - nbgp |
---|
144 | fmax_ijk_l(3) = k1 + fmax_ijk_l(3) - nbgp |
---|
145 | fmax_l(1) = ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) |
---|
146 | |
---|
147 | #if defined( __parallel ) |
---|
148 | fmax_l(2) = myid |
---|
149 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
150 | CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, & |
---|
151 | ierr ) |
---|
152 | |
---|
153 | ! |
---|
154 | !-- Determine the global maximum. Result stored on PE0. |
---|
155 | id_fmax = fmax(2) |
---|
156 | IF ( id_fmax /= 0 ) THEN |
---|
157 | IF ( myid == 0 ) THEN |
---|
158 | CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, & |
---|
159 | status, ierr ) |
---|
160 | ELSEIF ( myid == id_fmax ) THEN |
---|
161 | CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
---|
162 | ENDIF |
---|
163 | ELSE |
---|
164 | fmax_ijk = fmax_ijk_l |
---|
165 | ENDIF |
---|
166 | ! |
---|
167 | !-- send the indices of the just determined array maximum to other PEs |
---|
168 | CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
---|
169 | #else |
---|
170 | fmax(1) = fmax_l(1) |
---|
171 | fmax_ijk = fmax_ijk_l |
---|
172 | #endif |
---|
173 | |
---|
174 | ENDIF |
---|
175 | |
---|
176 | ! |
---|
177 | !-- Determine absolute array maximum |
---|
178 | IF ( mode == 'abs' ) THEN |
---|
179 | |
---|
180 | ! |
---|
181 | !-- Determine the local absolut maximum |
---|
182 | fmax_l(1) = 0.0_wp |
---|
183 | fmax_ijk_l(1) = i1 |
---|
184 | fmax_ijk_l(2) = j1 |
---|
185 | fmax_ijk_l(3) = k1 |
---|
186 | DO k = k1, k2 |
---|
187 | DO j = j1, j2 |
---|
188 | DO i = i1, i2 |
---|
189 | IF ( ABS( ar(i,j,k) ) > fmax_l(1) ) THEN |
---|
190 | fmax_l(1) = ABS( ar(i,j,k) ) |
---|
191 | fmax_ijk_l(1) = i |
---|
192 | fmax_ijk_l(2) = j |
---|
193 | fmax_ijk_l(3) = k |
---|
194 | ENDIF |
---|
195 | ENDDO |
---|
196 | ENDDO |
---|
197 | ENDDO |
---|
198 | |
---|
199 | ! |
---|
200 | !-- Set a flag in case that the determined value is negative. |
---|
201 | !-- A constant offset has to be subtracted in order to handle the special |
---|
202 | !-- case i=0 correctly |
---|
203 | IF ( ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) < 0.0_wp ) THEN |
---|
204 | fmax_ijk_l(1) = -fmax_ijk_l(1) - 10 |
---|
205 | ENDIF |
---|
206 | |
---|
207 | #if defined( __parallel ) |
---|
208 | fmax_l(2) = myid |
---|
209 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
210 | CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, & |
---|
211 | ierr ) |
---|
212 | |
---|
213 | ! |
---|
214 | !-- Determine the global absolut maximum. Result stored on PE0. |
---|
215 | id_fmax = fmax(2) |
---|
216 | IF ( id_fmax /= 0 ) THEN |
---|
217 | IF ( myid == 0 ) THEN |
---|
218 | CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, & |
---|
219 | status, ierr ) |
---|
220 | ELSEIF ( myid == id_fmax ) THEN |
---|
221 | CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
---|
222 | ENDIF |
---|
223 | ELSE |
---|
224 | fmax_ijk = fmax_ijk_l |
---|
225 | ENDIF |
---|
226 | ! |
---|
227 | !-- Send the indices of the just determined absolut maximum to other PEs |
---|
228 | CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
---|
229 | #else |
---|
230 | fmax(1) = fmax_l(1) |
---|
231 | fmax_ijk = fmax_ijk_l |
---|
232 | #endif |
---|
233 | |
---|
234 | ENDIF |
---|
235 | |
---|
236 | ! |
---|
237 | !-- Determine absolute maximum of ( array - offset ) |
---|
238 | IF ( mode == 'absoff' ) THEN |
---|
239 | |
---|
240 | ! |
---|
241 | !-- Determine the local absolut maximum |
---|
242 | fmax_l(1) = 0.0_wp |
---|
243 | fmax_ijk_l(1) = i1 |
---|
244 | fmax_ijk_l(2) = j1 |
---|
245 | fmax_ijk_l(3) = k1 |
---|
246 | DO k = k1, k2 |
---|
247 | DO j = j1, j2 |
---|
248 | ! |
---|
249 | !-- Attention: the lowest gridpoint is excluded here, because there |
---|
250 | !-- --------- is no advection at nzb=0 and mode 'absoff' is only |
---|
251 | !-- used for calculating u,v extrema for CFL-criteria |
---|
252 | DO i = i1+1, i2 |
---|
253 | IF ( ABS( ar(i,j,k) - offset ) > fmax_l(1) ) THEN |
---|
254 | fmax_l(1) = ABS( ar(i,j,k) - offset ) |
---|
255 | fmax_ijk_l(1) = i |
---|
256 | fmax_ijk_l(2) = j |
---|
257 | fmax_ijk_l(3) = k |
---|
258 | ENDIF |
---|
259 | ENDDO |
---|
260 | ENDDO |
---|
261 | ENDDO |
---|
262 | |
---|
263 | ! |
---|
264 | !-- Set a flag in case that the determined value is negative. |
---|
265 | !-- A constant offset has to be subtracted in order to handle the special |
---|
266 | !-- case i=0 correctly |
---|
267 | IF ( ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) < 0.0_wp ) THEN |
---|
268 | fmax_ijk_l(1) = -fmax_ijk_l(1) - 10 |
---|
269 | ENDIF |
---|
270 | |
---|
271 | #if defined( __parallel ) |
---|
272 | fmax_l(2) = myid |
---|
273 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
274 | CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, & |
---|
275 | ierr ) |
---|
276 | |
---|
277 | ! |
---|
278 | !-- Determine the global absolut maximum. Result stored on PE0. |
---|
279 | id_fmax = fmax(2) |
---|
280 | IF ( id_fmax /= 0 ) THEN |
---|
281 | IF ( myid == 0 ) THEN |
---|
282 | CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, & |
---|
283 | status, ierr ) |
---|
284 | ELSEIF ( myid == id_fmax ) THEN |
---|
285 | CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
---|
286 | ENDIF |
---|
287 | ELSE |
---|
288 | fmax_ijk = fmax_ijk_l |
---|
289 | ENDIF |
---|
290 | ! |
---|
291 | !-- Send the indices of the just determined absolut maximum to other PEs |
---|
292 | CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
---|
293 | #else |
---|
294 | fmax(1) = fmax_l(1) |
---|
295 | fmax_ijk = fmax_ijk_l |
---|
296 | #endif |
---|
297 | |
---|
298 | ENDIF |
---|
299 | |
---|
300 | ! |
---|
301 | !-- Determine output parameters |
---|
302 | SELECT CASE( mode ) |
---|
303 | |
---|
304 | CASE( 'min' ) |
---|
305 | |
---|
306 | value = fmin(1) |
---|
307 | value_ijk = fmin_ijk |
---|
308 | |
---|
309 | CASE( 'max' ) |
---|
310 | |
---|
311 | value = fmax(1) |
---|
312 | value_ijk = fmax_ijk |
---|
313 | |
---|
314 | CASE( 'minmax' ) |
---|
315 | |
---|
316 | value = fmin(1) |
---|
317 | value_ijk = fmin_ijk |
---|
318 | value1 = fmax(1) |
---|
319 | value1_ijk = fmax_ijk |
---|
320 | |
---|
321 | CASE( 'abs', 'absoff' ) |
---|
322 | |
---|
323 | value = fmax(1) |
---|
324 | value_ijk = fmax_ijk |
---|
325 | IF ( fmax_ijk(1) < 0 ) THEN |
---|
326 | value = -value |
---|
327 | value_ijk(1) = -value_ijk(1) - 10 !??? |
---|
328 | ENDIF |
---|
329 | |
---|
330 | END SELECT |
---|
331 | |
---|
332 | ! |
---|
333 | !-- Limit index values to the range 0..nx, 0..ny |
---|
334 | IF ( value_ijk(3) < 0 ) value_ijk(3) = nx +1 + value_ijk(3) |
---|
335 | IF ( value_ijk(3) > nx ) value_ijk(3) = value_ijk(3) - (nx+1) |
---|
336 | IF ( value_ijk(2) < 0 ) value_ijk(2) = ny +1 + value_ijk(2) |
---|
337 | IF ( value_ijk(2) > ny ) value_ijk(2) = value_ijk(2) - (ny+1) |
---|
338 | |
---|
339 | |
---|
340 | END SUBROUTINE global_min_max |
---|