| 1 | SUBROUTINE global_min_max( i1, i2, j1, j2, k1, k2, ar, mode, offset, value, & |
|---|
| 2 | value_ijk, value1, value1_ijk ) |
|---|
| 3 | |
|---|
| 4 | !------------------------------------------------------------------------------! |
|---|
| 5 | ! Current revisions: |
|---|
| 6 | ! ------------------ |
|---|
| 7 | ! |
|---|
| 8 | ! |
|---|
| 9 | ! Former revisions: |
|---|
| 10 | ! ----------------- |
|---|
| 11 | ! $Id: global_min_max.f90 867 2012-03-28 06:54:50Z franke $ |
|---|
| 12 | ! |
|---|
| 13 | ! 866 2012-03-28 06:44:41Z raasch |
|---|
| 14 | ! new mode "absoff" accounts for an offset in the respective array |
|---|
| 15 | ! |
|---|
| 16 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
|---|
| 17 | ! Adapting of the index arrays, because MINLOC assumes lowerbound at 1 and not |
|---|
| 18 | ! at nbgp. |
|---|
| 19 | ! |
|---|
| 20 | ! 622 2010-12-10 08:08:13Z raasch |
|---|
| 21 | ! optional barriers included in order to speed up collective operations |
|---|
| 22 | ! |
|---|
| 23 | ! Feb. 2007 |
|---|
| 24 | ! RCS Log replace by Id keyword, revision history cleaned up |
|---|
| 25 | ! |
|---|
| 26 | ! Revision 1.11 2003/04/16 12:56:58 raasch |
|---|
| 27 | ! Index values of the extrema are limited to the range 0..nx, 0..ny |
|---|
| 28 | ! |
|---|
| 29 | ! Revision 1.1 1997/07/24 11:14:03 raasch |
|---|
| 30 | ! Initial revision |
|---|
| 31 | ! |
|---|
| 32 | ! |
|---|
| 33 | ! Description: |
|---|
| 34 | ! ------------ |
|---|
| 35 | ! Determine the array minimum/maximum and the corresponding indices. |
|---|
| 36 | !------------------------------------------------------------------------------! |
|---|
| 37 | |
|---|
| 38 | USE indices |
|---|
| 39 | USE pegrid |
|---|
| 40 | |
|---|
| 41 | IMPLICIT NONE |
|---|
| 42 | |
|---|
| 43 | CHARACTER (LEN=*) :: mode |
|---|
| 44 | |
|---|
| 45 | INTEGER :: i, i1, i2, id_fmax, id_fmin, j, j1, j2, k, k1, k2, & |
|---|
| 46 | fmax_ijk(3), fmax_ijk_l(3), fmin_ijk(3), & |
|---|
| 47 | fmin_ijk_l(3), value_ijk(3) |
|---|
| 48 | INTEGER, OPTIONAL :: value1_ijk(3) |
|---|
| 49 | REAL :: offset, value, & |
|---|
| 50 | ar(i1:i2,j1:j2,k1:k2) |
|---|
| 51 | #if defined( __ibm ) |
|---|
| 52 | REAL (KIND=4) :: fmax(2), fmax_l(2), fmin(2), fmin_l(2) ! on 32bit- |
|---|
| 53 | ! machines MPI_2REAL must not be replaced by |
|---|
| 54 | ! MPI_2DOUBLE_PRECISION |
|---|
| 55 | #else |
|---|
| 56 | REAL :: fmax(2), fmax_l(2), fmin(2), fmin_l(2) |
|---|
| 57 | #endif |
|---|
| 58 | REAL, OPTIONAL :: value1 |
|---|
| 59 | |
|---|
| 60 | |
|---|
| 61 | ! |
|---|
| 62 | !-- Determine array minimum |
|---|
| 63 | IF ( mode == 'min' .OR. mode == 'minmax' ) THEN |
|---|
| 64 | |
|---|
| 65 | ! |
|---|
| 66 | !-- Determine the local minimum |
|---|
| 67 | fmin_ijk_l = MINLOC( ar ) |
|---|
| 68 | fmin_ijk_l(1) = i1 + fmin_ijk_l(1) - nbgp ! MINLOC assumes lowerbound = 1 |
|---|
| 69 | fmin_ijk_l(2) = j1 + fmin_ijk_l(2) - nbgp |
|---|
| 70 | fmin_ijk_l(3) = k1 + fmin_ijk_l(3) - 1 |
|---|
| 71 | fmin_l(1) = ar(fmin_ijk_l(1),fmin_ijk_l(2),fmin_ijk_l(3)) |
|---|
| 72 | |
|---|
| 73 | #if defined( __parallel ) |
|---|
| 74 | fmin_l(2) = myid |
|---|
| 75 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 76 | CALL MPI_ALLREDUCE( fmin_l, fmin, 1, MPI_2REAL, MPI_MINLOC, comm2d, & |
|---|
| 77 | ierr ) |
|---|
| 78 | |
|---|
| 79 | ! |
|---|
| 80 | !-- Determine the global minimum. Result stored on PE0. |
|---|
| 81 | id_fmin = fmin(2) |
|---|
| 82 | IF ( id_fmin /= 0 ) THEN |
|---|
| 83 | IF ( myid == 0 ) THEN |
|---|
| 84 | CALL MPI_RECV( fmin_ijk, 3, MPI_INTEGER, id_fmin, 0, comm2d, & |
|---|
| 85 | status, ierr ) |
|---|
| 86 | ELSEIF ( myid == id_fmin ) THEN |
|---|
| 87 | CALL MPI_SEND( fmin_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
|---|
| 88 | ENDIF |
|---|
| 89 | ELSE |
|---|
| 90 | fmin_ijk = fmin_ijk_l |
|---|
| 91 | ENDIF |
|---|
| 92 | ! |
|---|
| 93 | !-- Send the indices of the just determined array minimum to other PEs |
|---|
| 94 | CALL MPI_BCAST( fmin_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
|---|
| 95 | #else |
|---|
| 96 | fmin(1) = fmin_l(1) |
|---|
| 97 | fmin_ijk = fmin_ijk_l |
|---|
| 98 | #endif |
|---|
| 99 | |
|---|
| 100 | ENDIF |
|---|
| 101 | |
|---|
| 102 | ! |
|---|
| 103 | !-- Determine array maximum |
|---|
| 104 | IF ( mode == 'max' .OR. mode == 'minmax' ) THEN |
|---|
| 105 | |
|---|
| 106 | ! |
|---|
| 107 | !-- Determine the local maximum |
|---|
| 108 | fmax_ijk_l = MAXLOC( ar ) |
|---|
| 109 | fmax_ijk_l(1) = i1 + fmax_ijk_l(1) - nbgp ! MAXLOC assumes lowerbound = 1 |
|---|
| 110 | fmax_ijk_l(2) = j1 + fmax_ijk_l(2) - nbgp |
|---|
| 111 | fmax_ijk_l(3) = k1 + fmax_ijk_l(3) - 1 |
|---|
| 112 | fmax_l(1) = ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) |
|---|
| 113 | |
|---|
| 114 | #if defined( __parallel ) |
|---|
| 115 | fmax_l(2) = myid |
|---|
| 116 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 117 | CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, & |
|---|
| 118 | ierr ) |
|---|
| 119 | |
|---|
| 120 | ! |
|---|
| 121 | !-- Determine the global maximum. Result stored on PE0. |
|---|
| 122 | id_fmax = fmax(2) |
|---|
| 123 | IF ( id_fmax /= 0 ) THEN |
|---|
| 124 | IF ( myid == 0 ) THEN |
|---|
| 125 | CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, & |
|---|
| 126 | status, ierr ) |
|---|
| 127 | ELSEIF ( myid == id_fmax ) THEN |
|---|
| 128 | CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
|---|
| 129 | ENDIF |
|---|
| 130 | ELSE |
|---|
| 131 | fmax_ijk = fmax_ijk_l |
|---|
| 132 | ENDIF |
|---|
| 133 | ! |
|---|
| 134 | !-- send the indices of the just determined array maximum to other PEs |
|---|
| 135 | CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
|---|
| 136 | #else |
|---|
| 137 | fmax(1) = fmax_l(1) |
|---|
| 138 | fmax_ijk = fmax_ijk_l |
|---|
| 139 | #endif |
|---|
| 140 | |
|---|
| 141 | ENDIF |
|---|
| 142 | |
|---|
| 143 | ! |
|---|
| 144 | !-- Determine absolute array maximum |
|---|
| 145 | IF ( mode == 'abs' ) THEN |
|---|
| 146 | |
|---|
| 147 | ! |
|---|
| 148 | !-- Determine the local absolut maximum |
|---|
| 149 | fmax_l(1) = 0.0 |
|---|
| 150 | fmax_ijk_l(1) = i1 |
|---|
| 151 | fmax_ijk_l(2) = j1 |
|---|
| 152 | fmax_ijk_l(3) = k1 |
|---|
| 153 | DO k = k1, k2 |
|---|
| 154 | DO j = j1, j2 |
|---|
| 155 | DO i = i1, i2 |
|---|
| 156 | IF ( ABS( ar(i,j,k) ) > fmax_l(1) ) THEN |
|---|
| 157 | fmax_l(1) = ABS( ar(i,j,k) ) |
|---|
| 158 | fmax_ijk_l(1) = i |
|---|
| 159 | fmax_ijk_l(2) = j |
|---|
| 160 | fmax_ijk_l(3) = k |
|---|
| 161 | ENDIF |
|---|
| 162 | ENDDO |
|---|
| 163 | ENDDO |
|---|
| 164 | ENDDO |
|---|
| 165 | |
|---|
| 166 | ! |
|---|
| 167 | !-- Set a flag in case that the determined value is negative. |
|---|
| 168 | !-- A constant offset has to be subtracted in order to handle the special |
|---|
| 169 | !-- case i=0 correctly |
|---|
| 170 | IF ( ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) < 0.0 ) THEN |
|---|
| 171 | fmax_ijk_l(1) = -fmax_ijk_l(1) - 10 |
|---|
| 172 | ENDIF |
|---|
| 173 | |
|---|
| 174 | #if defined( __parallel ) |
|---|
| 175 | fmax_l(2) = myid |
|---|
| 176 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 177 | CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, & |
|---|
| 178 | ierr ) |
|---|
| 179 | |
|---|
| 180 | ! |
|---|
| 181 | !-- Determine the global absolut maximum. Result stored on PE0. |
|---|
| 182 | id_fmax = fmax(2) |
|---|
| 183 | IF ( id_fmax /= 0 ) THEN |
|---|
| 184 | IF ( myid == 0 ) THEN |
|---|
| 185 | CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, & |
|---|
| 186 | status, ierr ) |
|---|
| 187 | ELSEIF ( myid == id_fmax ) THEN |
|---|
| 188 | CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
|---|
| 189 | ENDIF |
|---|
| 190 | ELSE |
|---|
| 191 | fmax_ijk = fmax_ijk_l |
|---|
| 192 | ENDIF |
|---|
| 193 | ! |
|---|
| 194 | !-- Send the indices of the just determined absolut maximum to other PEs |
|---|
| 195 | CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
|---|
| 196 | #else |
|---|
| 197 | fmax(1) = fmax_l(1) |
|---|
| 198 | fmax_ijk = fmax_ijk_l |
|---|
| 199 | #endif |
|---|
| 200 | |
|---|
| 201 | ENDIF |
|---|
| 202 | |
|---|
| 203 | ! |
|---|
| 204 | !-- Determine absolute maximum of ( array - offset ) |
|---|
| 205 | IF ( mode == 'absoff' ) THEN |
|---|
| 206 | |
|---|
| 207 | ! |
|---|
| 208 | !-- Determine the local absolut maximum |
|---|
| 209 | fmax_l(1) = 0.0 |
|---|
| 210 | fmax_ijk_l(1) = i1 |
|---|
| 211 | fmax_ijk_l(2) = j1 |
|---|
| 212 | fmax_ijk_l(3) = k1 |
|---|
| 213 | DO k = k1, k2 |
|---|
| 214 | DO j = j1, j2 |
|---|
| 215 | ! |
|---|
| 216 | !-- Attention: the lowest gridpoint is excluded here, because there |
|---|
| 217 | !-- --------- is no advection at nzb=0 and mode 'absoff' is only |
|---|
| 218 | !-- used for calculating u,v extrema for CFL-criteria |
|---|
| 219 | DO i = i1+1, i2 |
|---|
| 220 | IF ( ABS( ar(i,j,k) - offset ) > fmax_l(1) ) THEN |
|---|
| 221 | fmax_l(1) = ABS( ar(i,j,k) - offset ) |
|---|
| 222 | fmax_ijk_l(1) = i |
|---|
| 223 | fmax_ijk_l(2) = j |
|---|
| 224 | fmax_ijk_l(3) = k |
|---|
| 225 | ENDIF |
|---|
| 226 | ENDDO |
|---|
| 227 | ENDDO |
|---|
| 228 | ENDDO |
|---|
| 229 | |
|---|
| 230 | ! |
|---|
| 231 | !-- Set a flag in case that the determined value is negative. |
|---|
| 232 | !-- A constant offset has to be subtracted in order to handle the special |
|---|
| 233 | !-- case i=0 correctly |
|---|
| 234 | IF ( ar(fmax_ijk_l(1),fmax_ijk_l(2),fmax_ijk_l(3)) < 0.0 ) THEN |
|---|
| 235 | fmax_ijk_l(1) = -fmax_ijk_l(1) - 10 |
|---|
| 236 | ENDIF |
|---|
| 237 | |
|---|
| 238 | #if defined( __parallel ) |
|---|
| 239 | fmax_l(2) = myid |
|---|
| 240 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
|---|
| 241 | CALL MPI_ALLREDUCE( fmax_l, fmax, 1, MPI_2REAL, MPI_MAXLOC, comm2d, & |
|---|
| 242 | ierr ) |
|---|
| 243 | |
|---|
| 244 | ! |
|---|
| 245 | !-- Determine the global absolut maximum. Result stored on PE0. |
|---|
| 246 | id_fmax = fmax(2) |
|---|
| 247 | IF ( id_fmax /= 0 ) THEN |
|---|
| 248 | IF ( myid == 0 ) THEN |
|---|
| 249 | CALL MPI_RECV( fmax_ijk, 3, MPI_INTEGER, id_fmax, 0, comm2d, & |
|---|
| 250 | status, ierr ) |
|---|
| 251 | ELSEIF ( myid == id_fmax ) THEN |
|---|
| 252 | CALL MPI_SEND( fmax_ijk_l, 3, MPI_INTEGER, 0, 0, comm2d, ierr ) |
|---|
| 253 | ENDIF |
|---|
| 254 | ELSE |
|---|
| 255 | fmax_ijk = fmax_ijk_l |
|---|
| 256 | ENDIF |
|---|
| 257 | ! |
|---|
| 258 | !-- Send the indices of the just determined absolut maximum to other PEs |
|---|
| 259 | CALL MPI_BCAST( fmax_ijk, 3, MPI_INTEGER, 0, comm2d, ierr ) |
|---|
| 260 | #else |
|---|
| 261 | fmax(1) = fmax_l(1) |
|---|
| 262 | fmax_ijk = fmax_ijk_l |
|---|
| 263 | #endif |
|---|
| 264 | |
|---|
| 265 | ENDIF |
|---|
| 266 | |
|---|
| 267 | ! |
|---|
| 268 | !-- Determine output parameters |
|---|
| 269 | SELECT CASE( mode ) |
|---|
| 270 | |
|---|
| 271 | CASE( 'min' ) |
|---|
| 272 | |
|---|
| 273 | value = fmin(1) |
|---|
| 274 | value_ijk = fmin_ijk |
|---|
| 275 | |
|---|
| 276 | CASE( 'max' ) |
|---|
| 277 | |
|---|
| 278 | value = fmax(1) |
|---|
| 279 | value_ijk = fmax_ijk |
|---|
| 280 | |
|---|
| 281 | CASE( 'minmax' ) |
|---|
| 282 | |
|---|
| 283 | value = fmin(1) |
|---|
| 284 | value_ijk = fmin_ijk |
|---|
| 285 | value1 = fmax(1) |
|---|
| 286 | value1_ijk = fmax_ijk |
|---|
| 287 | |
|---|
| 288 | CASE( 'abs', 'absoff' ) |
|---|
| 289 | |
|---|
| 290 | value = fmax(1) |
|---|
| 291 | value_ijk = fmax_ijk |
|---|
| 292 | IF ( fmax_ijk(1) < 0 ) THEN |
|---|
| 293 | value = -value |
|---|
| 294 | value_ijk(1) = -value_ijk(1) - 10 !??? |
|---|
| 295 | ENDIF |
|---|
| 296 | |
|---|
| 297 | END SELECT |
|---|
| 298 | |
|---|
| 299 | ! |
|---|
| 300 | !-- Limit index values to the range 0..nx, 0..ny |
|---|
| 301 | IF ( value_ijk(3) < 0 ) value_ijk(3) = nx +1 + value_ijk(3) |
|---|
| 302 | IF ( value_ijk(3) > nx ) value_ijk(3) = value_ijk(3) - (nx+1) |
|---|
| 303 | IF ( value_ijk(2) < 0 ) value_ijk(2) = ny +1 + value_ijk(2) |
|---|
| 304 | IF ( value_ijk(2) > ny ) value_ijk(2) = value_ijk(2) - (ny+1) |
|---|
| 305 | |
|---|
| 306 | |
|---|
| 307 | END SUBROUTINE global_min_max |
|---|
