| 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 1997-2020 Leibniz Universitaet Hannover |
|---|
| 18 | !------------------------------------------------------------------------------! |
|---|
| 19 | ! |
|---|
| 20 | ! Current revisions: |
|---|
| 21 | ! ------------------ |
|---|
| 22 | ! |
|---|
| 23 | ! |
|---|
| 24 | ! Former revisions: |
|---|
| 25 | ! ----------------- |
|---|
| 26 | ! $Id: global_min_max.f90 4429 2020-02-27 15:24:30Z raasch $ |
|---|
| 27 | ! bugfix: cpp-directives added for serial mode |
|---|
| 28 | ! |
|---|
| 29 | ! 4360 2020-01-07 11:25:50Z suehring |
|---|
| 30 | ! OpenACC support added |
|---|
| 31 | ! |
|---|
| 32 | ! 4182 2019-08-22 15:20:23Z scharf |
|---|
| 33 | ! Corrected "Former revisions" section |
|---|
| 34 | ! |
|---|
| 35 | ! 3655 2019-01-07 16:51:22Z knoop |
|---|
| 36 | ! Corrected "Former revisions" section |
|---|
| 37 | ! |
|---|
| 38 | ! Revision 1.1 1997/07/24 11:14:03 raasch |
|---|
| 39 | ! Initial revision |
|---|
| 40 | ! |
|---|
| 41 | ! |
|---|
| 42 | ! Description: |
|---|
| 43 | ! ------------ |
|---|
| 44 | !> Determine the array minimum/maximum and the corresponding indices. |
|---|
| 45 | !------------------------------------------------------------------------------! |
|---|
| 46 | SUBROUTINE global_min_max( i1, i2, j1, j2, k1, k2, ar, mode, offset, value, & |
|---|
| 47 | value_ijk, value1, value1_ijk ) |
|---|
| 48 | |
|---|
| 49 | |
|---|
| 50 | USE indices, & |
|---|
| 51 | ONLY: nbgp, ny, nx |
|---|
| 52 | |
|---|
| 53 | USE kinds |
|---|
| 54 | |
|---|
| 55 | USE pegrid |
|---|
| 56 | |
|---|
| 57 | IMPLICIT NONE |
|---|
| 58 | |
|---|
| 59 | CHARACTER (LEN=*) :: mode !< |
|---|
| 60 | |
|---|
| 61 | INTEGER(iwp) :: i !< |
|---|
| 62 | INTEGER(iwp) :: i1 !< |
|---|
| 63 | INTEGER(iwp) :: i2 !< |
|---|
| 64 | #if defined( __parallel ) |
|---|
| 65 | INTEGER(iwp) :: id_fmax !< |
|---|
| 66 | INTEGER(iwp) :: id_fmin !< |
|---|
| 67 | #endif |
|---|
| 68 | INTEGER(iwp) :: j !< |
|---|
| 69 | INTEGER(iwp) :: j1 !< |
|---|
| 70 | INTEGER(iwp) :: j2 !< |
|---|
| 71 | INTEGER(iwp) :: k !< |
|---|
| 72 | INTEGER(iwp) :: k1 !< |
|---|
| 73 | INTEGER(iwp) :: k2 !< |
|---|
| 74 | INTEGER(iwp) :: fmax_ijk(3) !< |
|---|
| 75 | INTEGER(iwp) :: fmax_ijk_l(3) !< |
|---|
| 76 | INTEGER(iwp) :: fmin_ijk(3) !< |
|---|
| 77 | INTEGER(iwp) :: fmin_ijk_l(3) !< |
|---|
| 78 | INTEGER(iwp) :: value_ijk(3) !< |
|---|
| 79 | |
|---|
| 80 | INTEGER(iwp), OPTIONAL :: value1_ijk(3) !< |
|---|
| 81 | |
|---|
| 82 | REAL(wp) :: offset !< |
|---|
| 83 | REAL(wp) :: value !< |
|---|
| 84 | REAL(wp) :: ar(i1:i2,j1:j2,k1:k2) !< |
|---|
| 85 | |
|---|
| 86 | #if defined( __ibm ) |
|---|
| 87 | REAL(sp) :: fmax(2) !< |
|---|
| 88 | REAL(sp) :: fmax_l(2) !< |
|---|
| 89 | REAL(sp) :: fmin(2) !< |
|---|
| 90 | REAL(sp) :: fmin_l(2) !< |
|---|
| 91 | ! on 32bit-machines MPI_2REAL must not be replaced |
|---|
| 92 | ! by MPI_2DOUBLE_PRECISION |
|---|
| 93 | #else |
|---|
| 94 | REAL(wp) :: fmax(2) !< |
|---|
| 95 | REAL(wp) :: fmax_l(2) !< |
|---|
| 96 | REAL(wp) :: fmin(2) !< |
|---|
| 97 | REAL(wp) :: fmin_l(2) !< |
|---|
| 98 | #endif |
|---|
| 99 | #if defined( _OPENACC ) |
|---|
| 100 | REAL(wp) :: red !< scalar for reduction with OpenACC |
|---|
| 101 | INTEGER(iwp) :: count_eq !< counter for locations of maximum |
|---|
| 102 | #endif |
|---|
| 103 | REAL(wp), OPTIONAL :: value1 !< |
|---|
| 104 | |
|---|
| 105 | |
|---|
| 106 | ! |
|---|
| 107 | !-- Determine array minimum |
|---|
| 108 | IF ( mode == 'min' .OR. mode == 'minmax' ) THEN |
|---|
| 109 | |
|---|
| 110 | ! |
|---|
| 111 | !-- Determine the local minimum |
|---|
| 112 | fmin_ijk_l = MINLOC( ar ) |
|---|
| 113 | fmin_ijk_l(1) = i1 + fmin_ijk_l(1) - 1 ! MINLOC assumes lowerbound = 1 |
|---|
| 114 | fmin_ijk_l(2) = j1 + fmin_ijk_l(2) - nbgp |
|---|
| 115 | fmin_ijk_l(3) = k1 + fmin_ijk_l(3) - nbgp |
|---|
| 116 | fmin_l(1) = ar(fmin_ijk_l(1),fmin_ijk_l(2),fmin_ijk_l(3)) |
|---|
| 117 | |
|---|
| 118 | #if defined( __parallel ) |
|---|
| 119 | fmin_l(2) = myid |
|---|
| 120 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 121 | CALL MPI_ALLREDUCE( fmin_l, fmin, 1, MPI_2REAL, MPI_MINLOC, comm2d, & |
|---|
| 122 | ierr ) |
|---|
| 123 | |
|---|
| 124 | ! |
|---|
| 125 | !-- Determine the global minimum. Result stored on PE0. |
|---|
| 126 | id_fmin = fmin(2) |
|---|
| 127 | IF ( id_fmin /= 0 ) THEN |
|---|
| 128 | IF ( myid == 0 ) THEN |
|---|
| 129 | CALL MPI_RECV( fmin_ijk, 3, MPI_INTEGER, id_fmin, 0, comm2d, & |
|---|
| 130 | status, ierr ) |
|---|
| 131 | ELSEIF ( myid == id_fmin ) THEN |
|---|
| 132 | CALL MPI_SEND( fmin_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
|---|
| 133 | ENDIF |
|---|
| 134 | ELSE |
|---|
| 135 | fmin_ijk = fmin_ijk_l |
|---|
| 136 | ENDIF |
|---|
| 137 | ! |
|---|
| 138 | !-- Send the indices of the just determined array minimum to other PEs |
|---|
| 139 | CALL MPI_BCAST( fmin_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
|---|
| 140 | #else |
|---|
| 141 | fmin(1) = fmin_l(1) |
|---|
| 142 | fmin_ijk = fmin_ijk_l |
|---|
| 143 | #endif |
|---|
| 144 | |
|---|
| 145 | ENDIF |
|---|
| 146 | |
|---|
| 147 | ! |
|---|
| 148 | !-- Determine array maximum |
|---|
| 149 | IF ( mode == 'max' .OR. mode == 'minmax' ) THEN |
|---|
| 150 | |
|---|
| 151 | ! |
|---|
| 152 | !-- Determine the local maximum |
|---|
| 153 | fmax_ijk_l = MAXLOC( ar ) |
|---|
| 154 | fmax_ijk_l(1) = i1 + fmax_ijk_l(1) - 1 ! MAXLOC assumes lowerbound = 1 |
|---|
| 155 | fmax_ijk_l(2) = j1 + fmax_ijk_l(2) - nbgp |
|---|
| 156 | fmax_ijk_l(3) = k1 + fmax_ijk_l(3) - nbgp |
|---|
| 157 | fmax_l(1) = ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) |
|---|
| 158 | |
|---|
| 159 | #if defined( __parallel ) |
|---|
| 160 | fmax_l(2) = myid |
|---|
| 161 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 162 | CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, & |
|---|
| 163 | ierr ) |
|---|
| 164 | |
|---|
| 165 | ! |
|---|
| 166 | !-- Determine the global maximum. Result stored on PE0. |
|---|
| 167 | id_fmax = fmax(2) |
|---|
| 168 | IF ( id_fmax /= 0 ) THEN |
|---|
| 169 | IF ( myid == 0 ) THEN |
|---|
| 170 | CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, & |
|---|
| 171 | status, ierr ) |
|---|
| 172 | ELSEIF ( myid == id_fmax ) THEN |
|---|
| 173 | CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
|---|
| 174 | ENDIF |
|---|
| 175 | ELSE |
|---|
| 176 | fmax_ijk = fmax_ijk_l |
|---|
| 177 | ENDIF |
|---|
| 178 | ! |
|---|
| 179 | !-- send the indices of the just determined array maximum to other PEs |
|---|
| 180 | CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
|---|
| 181 | #else |
|---|
| 182 | fmax(1) = fmax_l(1) |
|---|
| 183 | fmax_ijk = fmax_ijk_l |
|---|
| 184 | #endif |
|---|
| 185 | |
|---|
| 186 | ENDIF |
|---|
| 187 | |
|---|
| 188 | ! |
|---|
| 189 | !-- Determine absolute array maximum |
|---|
| 190 | IF ( mode == 'abs' ) THEN |
|---|
| 191 | |
|---|
| 192 | #if defined( _OPENACC ) |
|---|
| 193 | red = 0.0_wp |
|---|
| 194 | !$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) & |
|---|
| 195 | !$ACC PRESENT(ar) COPY(red) REDUCTION(MAX: red) |
|---|
| 196 | DO k = k1, k2 |
|---|
| 197 | DO j = j1, j2 |
|---|
| 198 | DO i = i1, i2 |
|---|
| 199 | IF ( ABS( ar(i,j,k) ) > red ) THEN |
|---|
| 200 | red = ABS( ar(i,j,k) ) |
|---|
| 201 | ENDIF |
|---|
| 202 | ENDDO |
|---|
| 203 | ENDDO |
|---|
| 204 | ENDDO |
|---|
| 205 | fmax_l(1) = red |
|---|
| 206 | |
|---|
| 207 | ! |
|---|
| 208 | !-- Determine the maximum's position and count how often it is found. |
|---|
| 209 | count_eq = 0 |
|---|
| 210 | !$ACC PARALLEL LOOP COLLAPSE(3) PRIVATE(i, j, k) & |
|---|
| 211 | !$ACC PRESENT(ar) COPY(fmax_ijk_l(1:3), count_eq) & |
|---|
| 212 | !$ACC REDUCTION(+:count_eq) |
|---|
| 213 | DO k = k1, k2 |
|---|
| 214 | DO j = j1, j2 |
|---|
| 215 | DO i = i1, i2 |
|---|
| 216 | IF ( ABS( ar(i,j,k) ) == red ) THEN |
|---|
| 217 | fmax_ijk_l(1) = i |
|---|
| 218 | fmax_ijk_l(2) = j |
|---|
| 219 | fmax_ijk_l(3) = k |
|---|
| 220 | count_eq = count_eq + 1 |
|---|
| 221 | ENDIF |
|---|
| 222 | ENDDO |
|---|
| 223 | ENDDO |
|---|
| 224 | ENDDO |
|---|
| 225 | |
|---|
| 226 | IF ( count_eq == 1 ) THEN |
|---|
| 227 | ! |
|---|
| 228 | !-- We found a single maximum element and correctly got its position. Transfer its |
|---|
| 229 | !-- value to handle the negative case correctly. |
|---|
| 230 | !$ACC UPDATE HOST(ar(fmax_ijk_l(1):fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3))) |
|---|
| 231 | ELSE |
|---|
| 232 | ! |
|---|
| 233 | !-- We found no maximum element (?) or multiple, so the position is not correct. |
|---|
| 234 | !-- Copy the full array to the host and determine the maximum sequentially... |
|---|
| 235 | !$ACC UPDATE HOST(ar(i1:i2,j1:j2,k1:k2)) |
|---|
| 236 | #endif |
|---|
| 237 | |
|---|
| 238 | ! |
|---|
| 239 | !-- Determine the local absolut maximum |
|---|
| 240 | fmax_l(1) = 0.0_wp |
|---|
| 241 | fmax_ijk_l(1) = i1 |
|---|
| 242 | fmax_ijk_l(2) = j1 |
|---|
| 243 | fmax_ijk_l(3) = k1 |
|---|
| 244 | DO k = k1, k2 |
|---|
| 245 | DO j = j1, j2 |
|---|
| 246 | DO i = i1, i2 |
|---|
| 247 | IF ( ABS( ar(i,j,k) ) > fmax_l(1) ) THEN |
|---|
| 248 | fmax_l(1) = ABS( ar(i,j,k) ) |
|---|
| 249 | fmax_ijk_l(1) = i |
|---|
| 250 | fmax_ijk_l(2) = j |
|---|
| 251 | fmax_ijk_l(3) = k |
|---|
| 252 | ENDIF |
|---|
| 253 | ENDDO |
|---|
| 254 | ENDDO |
|---|
| 255 | ENDDO |
|---|
| 256 | |
|---|
| 257 | #if defined( _OPENACC ) |
|---|
| 258 | ! |
|---|
| 259 | !-- Close ELSE case from above |
|---|
| 260 | ENDIF |
|---|
| 261 | #endif |
|---|
| 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 absolute maximum of ( array - offset ) |
|---|
| 302 | IF ( mode == 'absoff' ) THEN |
|---|
| 303 | |
|---|
| 304 | ! |
|---|
| 305 | !-- Determine the local absolut maximum |
|---|
| 306 | fmax_l(1) = 0.0_wp |
|---|
| 307 | fmax_ijk_l(1) = i1 |
|---|
| 308 | fmax_ijk_l(2) = j1 |
|---|
| 309 | fmax_ijk_l(3) = k1 |
|---|
| 310 | DO k = k1, k2 |
|---|
| 311 | DO j = j1, j2 |
|---|
| 312 | ! |
|---|
| 313 | !-- Attention: the lowest gridpoint is excluded here, because there |
|---|
| 314 | !-- --------- is no advection at nzb=0 and mode 'absoff' is only |
|---|
| 315 | !-- used for calculating u,v extrema for CFL-criteria |
|---|
| 316 | DO i = i1+1, i2 |
|---|
| 317 | IF ( ABS( ar(i,j,k) - offset ) > fmax_l(1) ) THEN |
|---|
| 318 | fmax_l(1) = ABS( ar(i,j,k) - offset ) |
|---|
| 319 | fmax_ijk_l(1) = i |
|---|
| 320 | fmax_ijk_l(2) = j |
|---|
| 321 | fmax_ijk_l(3) = k |
|---|
| 322 | ENDIF |
|---|
| 323 | ENDDO |
|---|
| 324 | ENDDO |
|---|
| 325 | ENDDO |
|---|
| 326 | |
|---|
| 327 | ! |
|---|
| 328 | !-- Set a flag in case that the determined value is negative. |
|---|
| 329 | !-- A constant offset has to be subtracted in order to handle the special |
|---|
| 330 | !-- case i=0 correctly |
|---|
| 331 | IF ( ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) < 0.0_wp ) THEN |
|---|
| 332 | fmax_ijk_l(1) = -fmax_ijk_l(1) - 10 |
|---|
| 333 | ENDIF |
|---|
| 334 | |
|---|
| 335 | #if defined( __parallel ) |
|---|
| 336 | fmax_l(2) = myid |
|---|
| 337 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 338 | CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, & |
|---|
| 339 | ierr ) |
|---|
| 340 | |
|---|
| 341 | ! |
|---|
| 342 | !-- Determine the global absolut maximum. Result stored on PE0. |
|---|
| 343 | id_fmax = fmax(2) |
|---|
| 344 | IF ( id_fmax /= 0 ) THEN |
|---|
| 345 | IF ( myid == 0 ) THEN |
|---|
| 346 | CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, & |
|---|
| 347 | status, ierr ) |
|---|
| 348 | ELSEIF ( myid == id_fmax ) THEN |
|---|
| 349 | CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
|---|
| 350 | ENDIF |
|---|
| 351 | ELSE |
|---|
| 352 | fmax_ijk = fmax_ijk_l |
|---|
| 353 | ENDIF |
|---|
| 354 | ! |
|---|
| 355 | !-- Send the indices of the just determined absolut maximum to other PEs |
|---|
| 356 | CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
|---|
| 357 | #else |
|---|
| 358 | fmax(1) = fmax_l(1) |
|---|
| 359 | fmax_ijk = fmax_ijk_l |
|---|
| 360 | #endif |
|---|
| 361 | |
|---|
| 362 | ENDIF |
|---|
| 363 | |
|---|
| 364 | ! |
|---|
| 365 | !-- Determine output parameters |
|---|
| 366 | SELECT CASE( mode ) |
|---|
| 367 | |
|---|
| 368 | CASE( 'min' ) |
|---|
| 369 | |
|---|
| 370 | value = fmin(1) |
|---|
| 371 | value_ijk = fmin_ijk |
|---|
| 372 | |
|---|
| 373 | CASE( 'max' ) |
|---|
| 374 | |
|---|
| 375 | value = fmax(1) |
|---|
| 376 | value_ijk = fmax_ijk |
|---|
| 377 | |
|---|
| 378 | CASE( 'minmax' ) |
|---|
| 379 | |
|---|
| 380 | value = fmin(1) |
|---|
| 381 | value_ijk = fmin_ijk |
|---|
| 382 | value1 = fmax(1) |
|---|
| 383 | value1_ijk = fmax_ijk |
|---|
| 384 | |
|---|
| 385 | CASE( 'abs', 'absoff' ) |
|---|
| 386 | |
|---|
| 387 | value = fmax(1) |
|---|
| 388 | value_ijk = fmax_ijk |
|---|
| 389 | IF ( fmax_ijk(1) < 0 ) THEN |
|---|
| 390 | value = -value |
|---|
| 391 | value_ijk(1) = -value_ijk(1) - 10 !??? |
|---|
| 392 | ENDIF |
|---|
| 393 | |
|---|
| 394 | END SELECT |
|---|
| 395 | |
|---|
| 396 | ! |
|---|
| 397 | !-- Limit index values to the range 0..nx, 0..ny |
|---|
| 398 | IF ( value_ijk(3) < 0 ) value_ijk(3) = nx +1 + value_ijk(3) |
|---|
| 399 | IF ( value_ijk(3) > nx ) value_ijk(3) = value_ijk(3) - (nx+1) |
|---|
| 400 | IF ( value_ijk(2) < 0 ) value_ijk(2) = ny +1 + value_ijk(2) |
|---|
| 401 | IF ( value_ijk(2) > ny ) value_ijk(2) = value_ijk(2) - (ny+1) |
|---|
| 402 | |
|---|
| 403 | |
|---|
| 404 | END SUBROUTINE global_min_max |
|---|
