[1850] | 1 | !> @file fft_xy_mod.f90 |
---|
[2000] | 2 | !------------------------------------------------------------------------------! |
---|
[2696] | 3 | ! This file is part of the PALM model system. |
---|
[1036] | 4 | ! |
---|
[2000] | 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. |
---|
[1036] | 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 | ! |
---|
[2718] | 17 | ! Copyright 1997-2018 Leibniz Universitaet Hannover |
---|
[1322] | 18 | !------------------------------------------------------------------------------! |
---|
[1036] | 19 | ! |
---|
[254] | 20 | ! Current revisions: |
---|
[1] | 21 | ! ----------------- |
---|
[1683] | 22 | ! |
---|
[2119] | 23 | ! |
---|
[1321] | 24 | ! Former revisions: |
---|
| 25 | ! ----------------- |
---|
| 26 | ! $Id: fft_xy_mod.f90 3241 2018-09-12 15:02:00Z banzhafs $ |
---|
[3241] | 27 | ! preprocessor switches for variables that are required on NEC only |
---|
| 28 | ! |
---|
| 29 | ! 3045 2018-05-28 07:55:41Z Giersch |
---|
[3045] | 30 | ! Error messages revised |
---|
| 31 | ! |
---|
| 32 | ! 2718 2018-01-02 08:49:38Z maronga |
---|
[2716] | 33 | ! Corrected "Former revisions" section |
---|
| 34 | ! |
---|
| 35 | ! 2696 2017-12-14 17:12:51Z kanani |
---|
| 36 | ! Change in file header (GPL part) |
---|
| 37 | ! |
---|
| 38 | ! 2300 2017-06-29 13:31:14Z raasch |
---|
[2300] | 39 | ! NEC related code partly removed, host replaced by loop_optimization |
---|
| 40 | ! |
---|
| 41 | ! 2274 2017-06-09 13:27:48Z Giersch |
---|
[2274] | 42 | ! Changed error messages |
---|
| 43 | ! |
---|
| 44 | ! 2119 2017-01-17 16:51:50Z raasch |
---|
[1321] | 45 | ! |
---|
[2119] | 46 | ! 2118 2017-01-17 16:38:49Z raasch |
---|
| 47 | ! OpenACC directives and CUDA-fft related code removed |
---|
| 48 | ! |
---|
[2001] | 49 | ! 2000 2016-08-20 18:09:15Z knoop |
---|
| 50 | ! Forced header and separation lines into 80 columns |
---|
| 51 | ! |
---|
[1851] | 52 | ! 1850 2016-04-08 13:29:27Z maronga |
---|
| 53 | ! Module renamed |
---|
| 54 | ! |
---|
[1816] | 55 | ! 1815 2016-04-06 13:49:59Z raasch |
---|
| 56 | ! cpp-directives for ibmy removed |
---|
| 57 | ! |
---|
[1750] | 58 | ! 1749 2016-02-09 12:19:56Z raasch |
---|
| 59 | ! small OpenACC bugfix |
---|
| 60 | ! |
---|
[1683] | 61 | ! 1682 2015-10-07 23:56:08Z knoop |
---|
| 62 | ! Code annotations made doxygen readable |
---|
| 63 | ! |
---|
[1601] | 64 | ! 1600 2015-06-11 15:50:12Z raasch |
---|
| 65 | ! bugfix: openMP threadprivate statement moved after variable declaration |
---|
| 66 | ! |
---|
[1483] | 67 | ! 1482 2014-10-18 12:34:45Z raasch |
---|
| 68 | ! cudafft workaround for data declaration of ar_tmp because of PGI 14.1 bug |
---|
| 69 | ! |
---|
[1403] | 70 | ! 1402 2014-05-09 14:25:13Z raasch |
---|
| 71 | ! fortran bugfix for r1392 |
---|
| 72 | ! |
---|
[1399] | 73 | ! 1398 2014-05-07 11:15:00Z heinze |
---|
| 74 | ! bugfix: typo removed for KIND in CMPLX function |
---|
| 75 | ! |
---|
[1393] | 76 | ! 1392 2014-05-06 09:10:05Z raasch |
---|
| 77 | ! bugfix: KIND attribute added to CMPLX functions |
---|
| 78 | ! |
---|
[1375] | 79 | ! 1374 2014-04-25 12:55:07Z raasch |
---|
| 80 | ! bugfixes: missing variables added to ONLY list, dpk renamed dp |
---|
| 81 | ! |
---|
[1373] | 82 | ! 1372 2014-04-24 06:29:32Z raasch |
---|
| 83 | ! openMP-bugfix for fftw: some arrays defined as threadprivate |
---|
| 84 | ! |
---|
[1354] | 85 | ! 1353 2014-04-08 15:21:23Z heinze |
---|
| 86 | ! REAL constants provided with KIND-attribute |
---|
| 87 | ! |
---|
[1343] | 88 | ! 1342 2014-03-26 17:04:47Z kanani |
---|
| 89 | ! REAL constants defined as wp-kind |
---|
| 90 | ! |
---|
[1323] | 91 | ! 1322 2014-03-20 16:38:49Z raasch |
---|
| 92 | ! REAL functions provided with KIND-attribute |
---|
| 93 | ! |
---|
[1321] | 94 | ! 1320 2014-03-20 08:40:49Z raasch |
---|
[1320] | 95 | ! ONLY-attribute added to USE-statements, |
---|
| 96 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
---|
| 97 | ! kinds are defined in new module kinds, |
---|
| 98 | ! old module precision_kind is removed, |
---|
| 99 | ! revision history before 2012 removed, |
---|
| 100 | ! comment fields (!:) to be used for variable explanations added to |
---|
| 101 | ! all variable declaration statements |
---|
[1] | 102 | ! |
---|
[1305] | 103 | ! 1304 2014-03-12 10:29:42Z raasch |
---|
| 104 | ! openmp bugfix: work1 used in Temperton algorithm must be private |
---|
| 105 | ! |
---|
[1258] | 106 | ! 1257 2013-11-08 15:18:40Z raasch |
---|
| 107 | ! openacc loop and loop vector clauses removed, declare create moved after |
---|
| 108 | ! the FORTRAN declaration statement |
---|
| 109 | ! |
---|
[1220] | 110 | ! 1219 2013-08-30 09:33:18Z heinze |
---|
| 111 | ! bugfix: use own branch for fftw |
---|
| 112 | ! |
---|
[1217] | 113 | ! 1216 2013-08-26 09:31:42Z raasch |
---|
| 114 | ! fft_x and fft_y modified for parallel / ovverlapping execution of fft and |
---|
| 115 | ! transpositions, |
---|
| 116 | ! fftw implemented for 1d-decomposition (fft_x_1d, fft_y_1d) |
---|
| 117 | ! |
---|
[1211] | 118 | ! 1210 2013-08-14 10:58:20Z raasch |
---|
| 119 | ! fftw added |
---|
| 120 | ! |
---|
[1167] | 121 | ! 1166 2013-05-24 13:55:44Z raasch |
---|
| 122 | ! C_DOUBLE/COMPLEX reset to dpk |
---|
| 123 | ! |
---|
[1154] | 124 | ! 1153 2013-05-10 14:33:08Z raasch |
---|
| 125 | ! code adjustment of data types for CUDA fft required by PGI 12.3 / CUDA 5.0 |
---|
| 126 | ! |
---|
[1112] | 127 | ! 1111 2013-03-08 23:54:10Z raasch |
---|
| 128 | ! further openACC statements added, CUDA branch completely runs on GPU |
---|
| 129 | ! bugfix: CUDA fft plans adjusted for domain decomposition (before they always |
---|
| 130 | ! used total domain) |
---|
| 131 | ! |
---|
[1107] | 132 | ! 1106 2013-03-04 05:31:38Z raasch |
---|
| 133 | ! CUDA fft added |
---|
| 134 | ! array_kind renamed precision_kind, 3D- instead of 1D-loops in fft_x and fft_y |
---|
| 135 | ! old fft_x, fft_y become fft_x_1d, fft_y_1d and are used for 1D-decomposition |
---|
| 136 | ! |
---|
[1093] | 137 | ! 1092 2013-02-02 11:24:22Z raasch |
---|
| 138 | ! variable sizw declared for NEC case only |
---|
| 139 | ! |
---|
[1037] | 140 | ! 1036 2012-10-22 13:43:42Z raasch |
---|
| 141 | ! code put under GPL (PALM 3.9) |
---|
| 142 | ! |
---|
[1] | 143 | ! Revision 1.1 2002/06/11 13:00:49 raasch |
---|
| 144 | ! Initial revision |
---|
| 145 | ! |
---|
| 146 | ! |
---|
| 147 | ! Description: |
---|
| 148 | ! ------------ |
---|
[1682] | 149 | !> Fast Fourier transformation along x and y for 1d domain decomposition along x. |
---|
| 150 | !> Original version: Klaus Ketelsen (May 2002) |
---|
[1] | 151 | !------------------------------------------------------------------------------! |
---|
[1682] | 152 | MODULE fft_xy |
---|
| 153 | |
---|
[1] | 154 | |
---|
[1320] | 155 | USE control_parameters, & |
---|
| 156 | ONLY: fft_method, message_string |
---|
| 157 | |
---|
| 158 | USE indices, & |
---|
| 159 | ONLY: nx, ny, nz |
---|
| 160 | |
---|
[2118] | 161 | #if defined( __fftw ) |
---|
[1210] | 162 | USE, INTRINSIC :: ISO_C_BINDING |
---|
[1153] | 163 | #endif |
---|
[1320] | 164 | |
---|
| 165 | USE kinds |
---|
| 166 | |
---|
| 167 | USE singleton, & |
---|
| 168 | ONLY: fftn |
---|
| 169 | |
---|
[1] | 170 | USE temperton_fft |
---|
[1320] | 171 | |
---|
| 172 | USE transpose_indices, & |
---|
[1374] | 173 | ONLY: nxl_y, nxr_y, nyn_x, nys_x, nzb_x, nzb_y, nzt_x, nzt_y |
---|
[1] | 174 | |
---|
| 175 | IMPLICIT NONE |
---|
| 176 | |
---|
| 177 | PRIVATE |
---|
[1106] | 178 | PUBLIC fft_x, fft_x_1d, fft_y, fft_y_1d, fft_init, fft_x_m, fft_y_m |
---|
[1] | 179 | |
---|
[1682] | 180 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE, SAVE :: ifax_x !< |
---|
| 181 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE, SAVE :: ifax_y !< |
---|
[1] | 182 | |
---|
[1682] | 183 | LOGICAL, SAVE :: init_fft = .FALSE. !< |
---|
[1] | 184 | |
---|
[1682] | 185 | REAL(wp), SAVE :: dnx !< |
---|
| 186 | REAL(wp), SAVE :: dny !< |
---|
| 187 | REAL(wp), SAVE :: sqr_dnx !< |
---|
| 188 | REAL(wp), SAVE :: sqr_dny !< |
---|
[1320] | 189 | |
---|
[1682] | 190 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trigs_x !< |
---|
| 191 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trigs_y !< |
---|
[1] | 192 | |
---|
| 193 | #if defined( __ibm ) |
---|
[1682] | 194 | INTEGER(iwp), PARAMETER :: nau1 = 20000 !< |
---|
| 195 | INTEGER(iwp), PARAMETER :: nau2 = 22000 !< |
---|
[1] | 196 | ! |
---|
| 197 | !-- The following working arrays contain tables and have to be "save" and |
---|
| 198 | !-- shared in OpenMP sense |
---|
[1682] | 199 | REAL(wp), DIMENSION(nau1), SAVE :: aux1 !< |
---|
| 200 | REAL(wp), DIMENSION(nau1), SAVE :: auy1 !< |
---|
| 201 | REAL(wp), DIMENSION(nau1), SAVE :: aux3 !< |
---|
| 202 | REAL(wp), DIMENSION(nau1), SAVE :: auy3 !< |
---|
[1320] | 203 | |
---|
[1] | 204 | #elif defined( __nec ) |
---|
[1682] | 205 | INTEGER(iwp), SAVE :: nz1 !< |
---|
[1320] | 206 | |
---|
[1682] | 207 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_xb !< |
---|
| 208 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_xf !< |
---|
| 209 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_yb !< |
---|
| 210 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_yf !< |
---|
[1320] | 211 | |
---|
[1219] | 212 | #endif |
---|
| 213 | |
---|
| 214 | #if defined( __fftw ) |
---|
[1210] | 215 | INCLUDE 'fftw3.f03' |
---|
[1682] | 216 | INTEGER(KIND=C_INT) :: nx_c !< |
---|
| 217 | INTEGER(KIND=C_INT) :: ny_c !< |
---|
[1320] | 218 | |
---|
[1682] | 219 | COMPLEX(KIND=C_DOUBLE_COMPLEX), DIMENSION(:), ALLOCATABLE, SAVE :: x_out !< |
---|
[1320] | 220 | COMPLEX(KIND=C_DOUBLE_COMPLEX), DIMENSION(:), ALLOCATABLE, SAVE :: & |
---|
[1682] | 221 | y_out !< |
---|
[1320] | 222 | |
---|
| 223 | REAL(KIND=C_DOUBLE), DIMENSION(:), ALLOCATABLE, SAVE :: & |
---|
[1682] | 224 | x_in !< |
---|
[1320] | 225 | REAL(KIND=C_DOUBLE), DIMENSION(:), ALLOCATABLE, SAVE :: & |
---|
[1682] | 226 | y_in !< |
---|
[1600] | 227 | !$OMP THREADPRIVATE( x_out, y_out, x_in, y_in ) |
---|
[1320] | 228 | |
---|
| 229 | |
---|
[1210] | 230 | TYPE(C_PTR), SAVE :: plan_xf, plan_xi, plan_yf, plan_yi |
---|
[1] | 231 | #endif |
---|
| 232 | |
---|
| 233 | ! |
---|
| 234 | !-- Public interfaces |
---|
| 235 | INTERFACE fft_init |
---|
| 236 | MODULE PROCEDURE fft_init |
---|
| 237 | END INTERFACE fft_init |
---|
| 238 | |
---|
| 239 | INTERFACE fft_x |
---|
| 240 | MODULE PROCEDURE fft_x |
---|
| 241 | END INTERFACE fft_x |
---|
| 242 | |
---|
[1106] | 243 | INTERFACE fft_x_1d |
---|
| 244 | MODULE PROCEDURE fft_x_1d |
---|
| 245 | END INTERFACE fft_x_1d |
---|
| 246 | |
---|
[1] | 247 | INTERFACE fft_y |
---|
| 248 | MODULE PROCEDURE fft_y |
---|
| 249 | END INTERFACE fft_y |
---|
| 250 | |
---|
[1106] | 251 | INTERFACE fft_y_1d |
---|
| 252 | MODULE PROCEDURE fft_y_1d |
---|
| 253 | END INTERFACE fft_y_1d |
---|
| 254 | |
---|
[1] | 255 | INTERFACE fft_x_m |
---|
| 256 | MODULE PROCEDURE fft_x_m |
---|
| 257 | END INTERFACE fft_x_m |
---|
| 258 | |
---|
| 259 | INTERFACE fft_y_m |
---|
| 260 | MODULE PROCEDURE fft_y_m |
---|
| 261 | END INTERFACE fft_y_m |
---|
| 262 | |
---|
| 263 | CONTAINS |
---|
| 264 | |
---|
| 265 | |
---|
[1682] | 266 | !------------------------------------------------------------------------------! |
---|
| 267 | ! Description: |
---|
| 268 | ! ------------ |
---|
| 269 | !> @todo Missing subroutine description. |
---|
| 270 | !------------------------------------------------------------------------------! |
---|
[1] | 271 | SUBROUTINE fft_init |
---|
| 272 | |
---|
| 273 | IMPLICIT NONE |
---|
| 274 | |
---|
| 275 | ! |
---|
| 276 | !-- The following temporary working arrays have to be on stack or private |
---|
| 277 | !-- in OpenMP sense |
---|
| 278 | #if defined( __ibm ) |
---|
[1682] | 279 | REAL(wp), DIMENSION(0:nx+2) :: workx !< |
---|
| 280 | REAL(wp), DIMENSION(0:ny+2) :: worky !< |
---|
| 281 | REAL(wp), DIMENSION(nau2) :: aux2 !< |
---|
| 282 | REAL(wp), DIMENSION(nau2) :: auy2 !< |
---|
| 283 | REAL(wp), DIMENSION(nau2) :: aux4 !< |
---|
| 284 | REAL(wp), DIMENSION(nau2) :: auy4 !< |
---|
[1] | 285 | #elif defined( __nec ) |
---|
[1682] | 286 | REAL(wp), DIMENSION(0:nx+3,nz+1) :: work_x !< |
---|
| 287 | REAL(wp), DIMENSION(0:ny+3,nz+1) :: work_y !< |
---|
| 288 | REAL(wp), DIMENSION(6*(nx+3),nz+1) :: workx !< |
---|
| 289 | REAL(wp), DIMENSION(6*(ny+3),nz+1) :: worky !< |
---|
[1] | 290 | #endif |
---|
| 291 | |
---|
| 292 | ! |
---|
| 293 | !-- Return, if already called |
---|
| 294 | IF ( init_fft ) THEN |
---|
| 295 | RETURN |
---|
| 296 | ELSE |
---|
| 297 | init_fft = .TRUE. |
---|
| 298 | ENDIF |
---|
| 299 | |
---|
| 300 | IF ( fft_method == 'system-specific' ) THEN |
---|
| 301 | |
---|
[1342] | 302 | dnx = 1.0_wp / ( nx + 1.0_wp ) |
---|
| 303 | dny = 1.0_wp / ( ny + 1.0_wp ) |
---|
[1106] | 304 | sqr_dnx = SQRT( dnx ) |
---|
| 305 | sqr_dny = SQRT( dny ) |
---|
[1815] | 306 | #if defined( __ibm ) |
---|
[1] | 307 | ! |
---|
| 308 | !-- Initialize tables for fft along x |
---|
[1106] | 309 | CALL DRCFT( 1, workx, 1, workx, 1, nx+1, 1, 1, sqr_dnx, aux1, nau1, & |
---|
[1] | 310 | aux2, nau2 ) |
---|
[1106] | 311 | CALL DCRFT( 1, workx, 1, workx, 1, nx+1, 1, -1, sqr_dnx, aux3, nau1, & |
---|
[1] | 312 | aux4, nau2 ) |
---|
| 313 | ! |
---|
| 314 | !-- Initialize tables for fft along y |
---|
[1106] | 315 | CALL DRCFT( 1, worky, 1, worky, 1, ny+1, 1, 1, sqr_dny, auy1, nau1, & |
---|
[1] | 316 | auy2, nau2 ) |
---|
[1106] | 317 | CALL DCRFT( 1, worky, 1, worky, 1, ny+1, 1, -1, sqr_dny, auy3, nau1, & |
---|
[1] | 318 | auy4, nau2 ) |
---|
| 319 | #elif defined( __nec ) |
---|
[254] | 320 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
| 321 | '" currently does not work on NEC' |
---|
| 322 | CALL message( 'fft_init', 'PA0187', 1, 2, 0, 6, 0 ) |
---|
[1] | 323 | |
---|
[1320] | 324 | ALLOCATE( trig_xb(2*(nx+1)), trig_xf(2*(nx+1)), & |
---|
[1] | 325 | trig_yb(2*(ny+1)), trig_yf(2*(ny+1)) ) |
---|
| 326 | |
---|
[1342] | 327 | work_x = 0.0_wp |
---|
| 328 | work_y = 0.0_wp |
---|
[1] | 329 | nz1 = nz + MOD( nz+1, 2 ) ! odd nz slows down fft significantly |
---|
| 330 | ! when using the NEC ffts |
---|
| 331 | |
---|
| 332 | ! |
---|
| 333 | !-- Initialize tables for fft along x (non-vector and vector case (M)) |
---|
[1106] | 334 | CALL DZFFT( 0, nx+1, sqr_dnx, work_x, work_x, trig_xf, workx, 0 ) |
---|
| 335 | CALL ZDFFT( 0, nx+1, sqr_dnx, work_x, work_x, trig_xb, workx, 0 ) |
---|
[1320] | 336 | CALL DZFFTM( 0, nx+1, nz1, sqr_dnx, work_x, nx+4, work_x, nx+4, & |
---|
[1] | 337 | trig_xf, workx, 0 ) |
---|
[1320] | 338 | CALL ZDFFTM( 0, nx+1, nz1, sqr_dnx, work_x, nx+4, work_x, nx+4, & |
---|
[1] | 339 | trig_xb, workx, 0 ) |
---|
| 340 | ! |
---|
| 341 | !-- Initialize tables for fft along y (non-vector and vector case (M)) |
---|
[1106] | 342 | CALL DZFFT( 0, ny+1, sqr_dny, work_y, work_y, trig_yf, worky, 0 ) |
---|
| 343 | CALL ZDFFT( 0, ny+1, sqr_dny, work_y, work_y, trig_yb, worky, 0 ) |
---|
[1320] | 344 | CALL DZFFTM( 0, ny+1, nz1, sqr_dny, work_y, ny+4, work_y, ny+4, & |
---|
[1] | 345 | trig_yf, worky, 0 ) |
---|
[1320] | 346 | CALL ZDFFTM( 0, ny+1, nz1, sqr_dny, work_y, ny+4, work_y, ny+4, & |
---|
[1] | 347 | trig_yb, worky, 0 ) |
---|
| 348 | #else |
---|
[254] | 349 | message_string = 'no system-specific fft-call available' |
---|
| 350 | CALL message( 'fft_init', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
[1] | 351 | #endif |
---|
| 352 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 353 | ! |
---|
| 354 | !-- Temperton-algorithm |
---|
| 355 | !-- Initialize tables for fft along x and y |
---|
| 356 | ALLOCATE( ifax_x(nx+1), ifax_y(ny+1), trigs_x(nx+1), trigs_y(ny+1) ) |
---|
| 357 | |
---|
| 358 | CALL set99( trigs_x, ifax_x, nx+1 ) |
---|
| 359 | CALL set99( trigs_y, ifax_y, ny+1 ) |
---|
| 360 | |
---|
[1210] | 361 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
| 362 | ! |
---|
| 363 | !-- FFTW |
---|
| 364 | #if defined( __fftw ) |
---|
| 365 | nx_c = nx+1 |
---|
| 366 | ny_c = ny+1 |
---|
[1372] | 367 | !$OMP PARALLEL |
---|
[1320] | 368 | ALLOCATE( x_in(0:nx+2), y_in(0:ny+2), x_out(0:(nx+1)/2), & |
---|
[1210] | 369 | y_out(0:(ny+1)/2) ) |
---|
[1372] | 370 | !$OMP END PARALLEL |
---|
[1210] | 371 | plan_xf = FFTW_PLAN_DFT_R2C_1D( nx_c, x_in, x_out, FFTW_ESTIMATE ) |
---|
| 372 | plan_xi = FFTW_PLAN_DFT_C2R_1D( nx_c, x_out, x_in, FFTW_ESTIMATE ) |
---|
| 373 | plan_yf = FFTW_PLAN_DFT_R2C_1D( ny_c, y_in, y_out, FFTW_ESTIMATE ) |
---|
| 374 | plan_yi = FFTW_PLAN_DFT_C2R_1D( ny_c, y_out, y_in, FFTW_ESTIMATE ) |
---|
| 375 | #else |
---|
| 376 | message_string = 'preprocessor switch for fftw is missing' |
---|
| 377 | CALL message( 'fft_init', 'PA0080', 1, 2, 0, 6, 0 ) |
---|
| 378 | #endif |
---|
| 379 | |
---|
[1] | 380 | ELSEIF ( fft_method == 'singleton-algorithm' ) THEN |
---|
| 381 | |
---|
| 382 | CONTINUE |
---|
| 383 | |
---|
| 384 | ELSE |
---|
| 385 | |
---|
[254] | 386 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
| 387 | '" not available' |
---|
| 388 | CALL message( 'fft_init', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
[1] | 389 | ENDIF |
---|
| 390 | |
---|
| 391 | END SUBROUTINE fft_init |
---|
| 392 | |
---|
| 393 | |
---|
[1682] | 394 | !------------------------------------------------------------------------------! |
---|
| 395 | ! Description: |
---|
| 396 | ! ------------ |
---|
| 397 | !> Fourier-transformation along x-direction. |
---|
| 398 | !> Version for 2D-decomposition. |
---|
| 399 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
| 400 | !> system-specific routines, if they are available |
---|
| 401 | !------------------------------------------------------------------------------! |
---|
| 402 | |
---|
[1216] | 403 | SUBROUTINE fft_x( ar, direction, ar_2d ) |
---|
[1] | 404 | |
---|
| 405 | |
---|
| 406 | IMPLICIT NONE |
---|
| 407 | |
---|
[1682] | 408 | CHARACTER (LEN=*) :: direction !< |
---|
[1320] | 409 | |
---|
[1682] | 410 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
[1106] | 411 | |
---|
[1682] | 412 | INTEGER(iwp) :: i !< |
---|
| 413 | INTEGER(iwp) :: ishape(1) !< |
---|
| 414 | INTEGER(iwp) :: j !< |
---|
| 415 | INTEGER(iwp) :: k !< |
---|
[1106] | 416 | |
---|
[1682] | 417 | LOGICAL :: forward_fft !< |
---|
[1320] | 418 | |
---|
[1682] | 419 | REAL(wp), DIMENSION(0:nx+2) :: work !< |
---|
| 420 | REAL(wp), DIMENSION(nx+2) :: work1 !< |
---|
[1320] | 421 | |
---|
[1106] | 422 | #if defined( __ibm ) |
---|
[1682] | 423 | REAL(wp), DIMENSION(nau2) :: aux2 !< |
---|
| 424 | REAL(wp), DIMENSION(nau2) :: aux4 !< |
---|
[1106] | 425 | #elif defined( __nec ) |
---|
[1682] | 426 | REAL(wp), DIMENSION(6*(nx+1)) :: work2 !< |
---|
[1106] | 427 | #endif |
---|
| 428 | |
---|
[1320] | 429 | REAL(wp), DIMENSION(0:nx,nys_x:nyn_x), OPTIONAL :: & |
---|
[1682] | 430 | ar_2d !< |
---|
[1320] | 431 | REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: & |
---|
[1682] | 432 | ar !< |
---|
[1320] | 433 | |
---|
[1106] | 434 | IF ( direction == 'forward' ) THEN |
---|
| 435 | forward_fft = .TRUE. |
---|
| 436 | ELSE |
---|
| 437 | forward_fft = .FALSE. |
---|
| 438 | ENDIF |
---|
| 439 | |
---|
| 440 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
| 441 | |
---|
| 442 | ! |
---|
| 443 | !-- Performing the fft with singleton's software works on every system, |
---|
| 444 | !-- since it is part of the model |
---|
| 445 | ALLOCATE( cwork(0:nx) ) |
---|
| 446 | |
---|
| 447 | IF ( forward_fft ) then |
---|
| 448 | |
---|
| 449 | !$OMP PARALLEL PRIVATE ( cwork, i, ishape, j, k ) |
---|
| 450 | !$OMP DO |
---|
| 451 | DO k = nzb_x, nzt_x |
---|
| 452 | DO j = nys_x, nyn_x |
---|
| 453 | |
---|
| 454 | DO i = 0, nx |
---|
[1392] | 455 | cwork(i) = CMPLX( ar(i,j,k), KIND=wp ) |
---|
[1106] | 456 | ENDDO |
---|
| 457 | |
---|
| 458 | ishape = SHAPE( cwork ) |
---|
| 459 | CALL FFTN( cwork, ishape ) |
---|
| 460 | |
---|
| 461 | DO i = 0, (nx+1)/2 |
---|
[1322] | 462 | ar(i,j,k) = REAL( cwork(i), KIND=wp ) |
---|
[1106] | 463 | ENDDO |
---|
| 464 | DO i = 1, (nx+1)/2 - 1 |
---|
| 465 | ar(nx+1-i,j,k) = -AIMAG( cwork(i) ) |
---|
| 466 | ENDDO |
---|
| 467 | |
---|
| 468 | ENDDO |
---|
| 469 | ENDDO |
---|
| 470 | !$OMP END PARALLEL |
---|
| 471 | |
---|
| 472 | ELSE |
---|
| 473 | |
---|
| 474 | !$OMP PARALLEL PRIVATE ( cwork, i, ishape, j, k ) |
---|
| 475 | !$OMP DO |
---|
| 476 | DO k = nzb_x, nzt_x |
---|
| 477 | DO j = nys_x, nyn_x |
---|
| 478 | |
---|
[1392] | 479 | cwork(0) = CMPLX( ar(0,j,k), 0.0_wp, KIND=wp ) |
---|
[1106] | 480 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 481 | cwork(i) = CMPLX( ar(i,j,k), -ar(nx+1-i,j,k), & |
---|
| 482 | KIND=wp ) |
---|
| 483 | cwork(nx+1-i) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k), & |
---|
| 484 | KIND=wp ) |
---|
[1106] | 485 | ENDDO |
---|
[1392] | 486 | cwork((nx+1)/2) = CMPLX( ar((nx+1)/2,j,k), 0.0_wp, KIND=wp ) |
---|
[1106] | 487 | |
---|
| 488 | ishape = SHAPE( cwork ) |
---|
| 489 | CALL FFTN( cwork, ishape, inv = .TRUE. ) |
---|
| 490 | |
---|
| 491 | DO i = 0, nx |
---|
[1322] | 492 | ar(i,j,k) = REAL( cwork(i), KIND=wp ) |
---|
[1106] | 493 | ENDDO |
---|
| 494 | |
---|
| 495 | ENDDO |
---|
| 496 | ENDDO |
---|
| 497 | !$OMP END PARALLEL |
---|
| 498 | |
---|
| 499 | ENDIF |
---|
| 500 | |
---|
| 501 | DEALLOCATE( cwork ) |
---|
| 502 | |
---|
| 503 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 504 | |
---|
| 505 | ! |
---|
| 506 | !-- Performing the fft with Temperton's software works on every system, |
---|
| 507 | !-- since it is part of the model |
---|
| 508 | IF ( forward_fft ) THEN |
---|
| 509 | |
---|
[1304] | 510 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
[1106] | 511 | !$OMP DO |
---|
| 512 | DO k = nzb_x, nzt_x |
---|
| 513 | DO j = nys_x, nyn_x |
---|
| 514 | |
---|
| 515 | work(0:nx) = ar(0:nx,j,k) |
---|
| 516 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, -1 ) |
---|
| 517 | |
---|
| 518 | DO i = 0, (nx+1)/2 |
---|
| 519 | ar(i,j,k) = work(2*i) |
---|
| 520 | ENDDO |
---|
| 521 | DO i = 1, (nx+1)/2 - 1 |
---|
| 522 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
| 523 | ENDDO |
---|
| 524 | |
---|
| 525 | ENDDO |
---|
| 526 | ENDDO |
---|
| 527 | !$OMP END PARALLEL |
---|
| 528 | |
---|
| 529 | ELSE |
---|
| 530 | |
---|
[1304] | 531 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
[1106] | 532 | !$OMP DO |
---|
| 533 | DO k = nzb_x, nzt_x |
---|
| 534 | DO j = nys_x, nyn_x |
---|
| 535 | |
---|
| 536 | DO i = 0, (nx+1)/2 |
---|
| 537 | work(2*i) = ar(i,j,k) |
---|
| 538 | ENDDO |
---|
| 539 | DO i = 1, (nx+1)/2 - 1 |
---|
| 540 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
| 541 | ENDDO |
---|
[1342] | 542 | work(1) = 0.0_wp |
---|
| 543 | work(nx+2) = 0.0_wp |
---|
[1106] | 544 | |
---|
| 545 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, 1 ) |
---|
| 546 | ar(0:nx,j,k) = work(0:nx) |
---|
| 547 | |
---|
| 548 | ENDDO |
---|
| 549 | ENDDO |
---|
| 550 | !$OMP END PARALLEL |
---|
| 551 | |
---|
| 552 | ENDIF |
---|
| 553 | |
---|
[1210] | 554 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
| 555 | |
---|
| 556 | #if defined( __fftw ) |
---|
| 557 | IF ( forward_fft ) THEN |
---|
| 558 | |
---|
| 559 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 560 | !$OMP DO |
---|
| 561 | DO k = nzb_x, nzt_x |
---|
| 562 | DO j = nys_x, nyn_x |
---|
| 563 | |
---|
| 564 | x_in(0:nx) = ar(0:nx,j,k) |
---|
| 565 | CALL FFTW_EXECUTE_DFT_R2C( plan_xf, x_in, x_out ) |
---|
| 566 | |
---|
[1216] | 567 | IF ( PRESENT( ar_2d ) ) THEN |
---|
[1210] | 568 | |
---|
[1216] | 569 | DO i = 0, (nx+1)/2 |
---|
[1322] | 570 | ar_2d(i,j) = REAL( x_out(i), KIND=wp ) / ( nx+1 ) |
---|
[1216] | 571 | ENDDO |
---|
| 572 | DO i = 1, (nx+1)/2 - 1 |
---|
| 573 | ar_2d(nx+1-i,j) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
| 574 | ENDDO |
---|
| 575 | |
---|
| 576 | ELSE |
---|
| 577 | |
---|
| 578 | DO i = 0, (nx+1)/2 |
---|
[1322] | 579 | ar(i,j,k) = REAL( x_out(i), KIND=wp ) / ( nx+1 ) |
---|
[1216] | 580 | ENDDO |
---|
| 581 | DO i = 1, (nx+1)/2 - 1 |
---|
| 582 | ar(nx+1-i,j,k) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
| 583 | ENDDO |
---|
| 584 | |
---|
| 585 | ENDIF |
---|
| 586 | |
---|
[1210] | 587 | ENDDO |
---|
| 588 | ENDDO |
---|
| 589 | !$OMP END PARALLEL |
---|
| 590 | |
---|
[1216] | 591 | ELSE |
---|
[1210] | 592 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 593 | !$OMP DO |
---|
| 594 | DO k = nzb_x, nzt_x |
---|
| 595 | DO j = nys_x, nyn_x |
---|
| 596 | |
---|
[1216] | 597 | IF ( PRESENT( ar_2d ) ) THEN |
---|
[1210] | 598 | |
---|
[1392] | 599 | x_out(0) = CMPLX( ar_2d(0,j), 0.0_wp, KIND=wp ) |
---|
[1216] | 600 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 601 | x_out(i) = CMPLX( ar_2d(i,j), ar_2d(nx+1-i,j), & |
---|
| 602 | KIND=wp ) |
---|
[1216] | 603 | ENDDO |
---|
[1392] | 604 | x_out((nx+1)/2) = CMPLX( ar_2d((nx+1)/2,j), 0.0_wp, & |
---|
| 605 | KIND=wp ) |
---|
[1216] | 606 | |
---|
| 607 | ELSE |
---|
| 608 | |
---|
[1392] | 609 | x_out(0) = CMPLX( ar(0,j,k), 0.0_wp, KIND=wp ) |
---|
[1216] | 610 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 611 | x_out(i) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k), KIND=wp ) |
---|
[1216] | 612 | ENDDO |
---|
[1392] | 613 | x_out((nx+1)/2) = CMPLX( ar((nx+1)/2,j,k), 0.0_wp, & |
---|
| 614 | KIND=wp ) |
---|
[1216] | 615 | |
---|
| 616 | ENDIF |
---|
| 617 | |
---|
[1210] | 618 | CALL FFTW_EXECUTE_DFT_C2R( plan_xi, x_out, x_in) |
---|
| 619 | ar(0:nx,j,k) = x_in(0:nx) |
---|
| 620 | |
---|
| 621 | ENDDO |
---|
| 622 | ENDDO |
---|
| 623 | !$OMP END PARALLEL |
---|
| 624 | |
---|
[1216] | 625 | ENDIF |
---|
[1210] | 626 | #endif |
---|
| 627 | |
---|
[1106] | 628 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
| 629 | |
---|
[1815] | 630 | #if defined( __ibm ) |
---|
[1106] | 631 | IF ( forward_fft ) THEN |
---|
| 632 | |
---|
| 633 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 634 | !$OMP DO |
---|
| 635 | DO k = nzb_x, nzt_x |
---|
| 636 | DO j = nys_x, nyn_x |
---|
| 637 | |
---|
[1320] | 638 | CALL DRCFT( 0, ar, 1, work, 1, nx+1, 1, 1, sqr_dnx, aux1, & |
---|
| 639 | nau1, aux2, nau2 ) |
---|
[1106] | 640 | |
---|
| 641 | DO i = 0, (nx+1)/2 |
---|
| 642 | ar(i,j,k) = work(2*i) |
---|
| 643 | ENDDO |
---|
| 644 | DO i = 1, (nx+1)/2 - 1 |
---|
| 645 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
| 646 | ENDDO |
---|
| 647 | |
---|
| 648 | ENDDO |
---|
| 649 | ENDDO |
---|
| 650 | !$OMP END PARALLEL |
---|
| 651 | |
---|
| 652 | ELSE |
---|
| 653 | |
---|
| 654 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 655 | !$OMP DO |
---|
| 656 | DO k = nzb_x, nzt_x |
---|
| 657 | DO j = nys_x, nyn_x |
---|
| 658 | |
---|
| 659 | DO i = 0, (nx+1)/2 |
---|
| 660 | work(2*i) = ar(i,j,k) |
---|
| 661 | ENDDO |
---|
| 662 | DO i = 1, (nx+1)/2 - 1 |
---|
| 663 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
| 664 | ENDDO |
---|
[1342] | 665 | work(1) = 0.0_wp |
---|
| 666 | work(nx+2) = 0.0_wp |
---|
[1106] | 667 | |
---|
[1320] | 668 | CALL DCRFT( 0, work, 1, work, 1, nx+1, 1, -1, sqr_dnx, & |
---|
| 669 | aux3, nau1, aux4, nau2 ) |
---|
[1106] | 670 | |
---|
| 671 | DO i = 0, nx |
---|
| 672 | ar(i,j,k) = work(i) |
---|
| 673 | ENDDO |
---|
| 674 | |
---|
| 675 | ENDDO |
---|
| 676 | ENDDO |
---|
| 677 | !$OMP END PARALLEL |
---|
| 678 | |
---|
| 679 | ENDIF |
---|
| 680 | |
---|
| 681 | #elif defined( __nec ) |
---|
| 682 | |
---|
| 683 | IF ( forward_fft ) THEN |
---|
| 684 | |
---|
| 685 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 686 | !$OMP DO |
---|
| 687 | DO k = nzb_x, nzt_x |
---|
| 688 | DO j = nys_x, nyn_x |
---|
| 689 | |
---|
| 690 | work(0:nx) = ar(0:nx,j,k) |
---|
| 691 | |
---|
| 692 | CALL DZFFT( 1, nx+1, sqr_dnx, work, work, trig_xf, work2, 0 ) |
---|
| 693 | |
---|
| 694 | DO i = 0, (nx+1)/2 |
---|
| 695 | ar(i,j,k) = work(2*i) |
---|
| 696 | ENDDO |
---|
| 697 | DO i = 1, (nx+1)/2 - 1 |
---|
| 698 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
| 699 | ENDDO |
---|
| 700 | |
---|
| 701 | ENDDO |
---|
| 702 | ENDDO |
---|
| 703 | !$END OMP PARALLEL |
---|
| 704 | |
---|
| 705 | ELSE |
---|
| 706 | |
---|
| 707 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 708 | !$OMP DO |
---|
| 709 | DO k = nzb_x, nzt_x |
---|
| 710 | DO j = nys_x, nyn_x |
---|
| 711 | |
---|
| 712 | DO i = 0, (nx+1)/2 |
---|
| 713 | work(2*i) = ar(i,j,k) |
---|
| 714 | ENDDO |
---|
| 715 | DO i = 1, (nx+1)/2 - 1 |
---|
| 716 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
| 717 | ENDDO |
---|
[1342] | 718 | work(1) = 0.0_wp |
---|
| 719 | work(nx+2) = 0.0_wp |
---|
[1106] | 720 | |
---|
| 721 | CALL ZDFFT( -1, nx+1, sqr_dnx, work, work, trig_xb, work2, 0 ) |
---|
| 722 | |
---|
| 723 | ar(0:nx,j,k) = work(0:nx) |
---|
| 724 | |
---|
| 725 | ENDDO |
---|
| 726 | ENDDO |
---|
| 727 | !$OMP END PARALLEL |
---|
| 728 | |
---|
| 729 | ENDIF |
---|
| 730 | |
---|
| 731 | #endif |
---|
| 732 | |
---|
| 733 | ENDIF |
---|
| 734 | |
---|
| 735 | END SUBROUTINE fft_x |
---|
| 736 | |
---|
[1682] | 737 | !------------------------------------------------------------------------------! |
---|
| 738 | ! Description: |
---|
| 739 | ! ------------ |
---|
| 740 | !> Fourier-transformation along x-direction. |
---|
| 741 | !> Version for 1D-decomposition. |
---|
| 742 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
| 743 | !> system-specific routines, if they are available |
---|
| 744 | !------------------------------------------------------------------------------! |
---|
| 745 | |
---|
[1106] | 746 | SUBROUTINE fft_x_1d( ar, direction ) |
---|
| 747 | |
---|
| 748 | |
---|
| 749 | IMPLICIT NONE |
---|
| 750 | |
---|
[1682] | 751 | CHARACTER (LEN=*) :: direction !< |
---|
[1320] | 752 | |
---|
[1682] | 753 | INTEGER(iwp) :: i !< |
---|
| 754 | INTEGER(iwp) :: ishape(1) !< |
---|
[1] | 755 | |
---|
[1682] | 756 | LOGICAL :: forward_fft !< |
---|
[1106] | 757 | |
---|
[1682] | 758 | REAL(wp), DIMENSION(0:nx) :: ar !< |
---|
| 759 | REAL(wp), DIMENSION(0:nx+2) :: work !< |
---|
| 760 | REAL(wp), DIMENSION(nx+2) :: work1 !< |
---|
[1320] | 761 | |
---|
[1682] | 762 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
[1320] | 763 | |
---|
[1] | 764 | #if defined( __ibm ) |
---|
[1682] | 765 | REAL(wp), DIMENSION(nau2) :: aux2 !< |
---|
| 766 | REAL(wp), DIMENSION(nau2) :: aux4 !< |
---|
[1] | 767 | #elif defined( __nec ) |
---|
[1682] | 768 | REAL(wp), DIMENSION(6*(nx+1)) :: work2 !< |
---|
[1] | 769 | #endif |
---|
| 770 | |
---|
[1106] | 771 | IF ( direction == 'forward' ) THEN |
---|
| 772 | forward_fft = .TRUE. |
---|
| 773 | ELSE |
---|
| 774 | forward_fft = .FALSE. |
---|
| 775 | ENDIF |
---|
| 776 | |
---|
[1] | 777 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
| 778 | |
---|
| 779 | ! |
---|
| 780 | !-- Performing the fft with singleton's software works on every system, |
---|
| 781 | !-- since it is part of the model |
---|
| 782 | ALLOCATE( cwork(0:nx) ) |
---|
| 783 | |
---|
[1106] | 784 | IF ( forward_fft ) then |
---|
[1] | 785 | |
---|
| 786 | DO i = 0, nx |
---|
[1392] | 787 | cwork(i) = CMPLX( ar(i), KIND=wp ) |
---|
[1] | 788 | ENDDO |
---|
| 789 | ishape = SHAPE( cwork ) |
---|
| 790 | CALL FFTN( cwork, ishape ) |
---|
| 791 | DO i = 0, (nx+1)/2 |
---|
[1322] | 792 | ar(i) = REAL( cwork(i), KIND=wp ) |
---|
[1] | 793 | ENDDO |
---|
| 794 | DO i = 1, (nx+1)/2 - 1 |
---|
| 795 | ar(nx+1-i) = -AIMAG( cwork(i) ) |
---|
| 796 | ENDDO |
---|
| 797 | |
---|
| 798 | ELSE |
---|
| 799 | |
---|
[1392] | 800 | cwork(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
[1] | 801 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 802 | cwork(i) = CMPLX( ar(i), -ar(nx+1-i), KIND=wp ) |
---|
| 803 | cwork(nx+1-i) = CMPLX( ar(i), ar(nx+1-i), KIND=wp ) |
---|
[1] | 804 | ENDDO |
---|
[1392] | 805 | cwork((nx+1)/2) = CMPLX( ar((nx+1)/2), 0.0_wp, KIND=wp ) |
---|
[1] | 806 | |
---|
| 807 | ishape = SHAPE( cwork ) |
---|
| 808 | CALL FFTN( cwork, ishape, inv = .TRUE. ) |
---|
| 809 | |
---|
| 810 | DO i = 0, nx |
---|
[1322] | 811 | ar(i) = REAL( cwork(i), KIND=wp ) |
---|
[1] | 812 | ENDDO |
---|
| 813 | |
---|
| 814 | ENDIF |
---|
| 815 | |
---|
| 816 | DEALLOCATE( cwork ) |
---|
| 817 | |
---|
| 818 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 819 | |
---|
| 820 | ! |
---|
| 821 | !-- Performing the fft with Temperton's software works on every system, |
---|
| 822 | !-- since it is part of the model |
---|
[1106] | 823 | IF ( forward_fft ) THEN |
---|
[1] | 824 | |
---|
| 825 | work(0:nx) = ar |
---|
| 826 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, -1 ) |
---|
| 827 | |
---|
| 828 | DO i = 0, (nx+1)/2 |
---|
| 829 | ar(i) = work(2*i) |
---|
| 830 | ENDDO |
---|
| 831 | DO i = 1, (nx+1)/2 - 1 |
---|
| 832 | ar(nx+1-i) = work(2*i+1) |
---|
| 833 | ENDDO |
---|
| 834 | |
---|
| 835 | ELSE |
---|
| 836 | |
---|
| 837 | DO i = 0, (nx+1)/2 |
---|
| 838 | work(2*i) = ar(i) |
---|
| 839 | ENDDO |
---|
| 840 | DO i = 1, (nx+1)/2 - 1 |
---|
| 841 | work(2*i+1) = ar(nx+1-i) |
---|
| 842 | ENDDO |
---|
[1342] | 843 | work(1) = 0.0_wp |
---|
| 844 | work(nx+2) = 0.0_wp |
---|
[1] | 845 | |
---|
| 846 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, 1 ) |
---|
| 847 | ar = work(0:nx) |
---|
| 848 | |
---|
| 849 | ENDIF |
---|
| 850 | |
---|
[1216] | 851 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
| 852 | |
---|
| 853 | #if defined( __fftw ) |
---|
| 854 | IF ( forward_fft ) THEN |
---|
| 855 | |
---|
| 856 | x_in(0:nx) = ar(0:nx) |
---|
| 857 | CALL FFTW_EXECUTE_DFT_R2C( plan_xf, x_in, x_out ) |
---|
| 858 | |
---|
| 859 | DO i = 0, (nx+1)/2 |
---|
[1322] | 860 | ar(i) = REAL( x_out(i), KIND=wp ) / ( nx+1 ) |
---|
[1216] | 861 | ENDDO |
---|
| 862 | DO i = 1, (nx+1)/2 - 1 |
---|
| 863 | ar(nx+1-i) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
| 864 | ENDDO |
---|
| 865 | |
---|
| 866 | ELSE |
---|
| 867 | |
---|
[1392] | 868 | x_out(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
[1216] | 869 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 870 | x_out(i) = CMPLX( ar(i), ar(nx+1-i), KIND=wp ) |
---|
[1216] | 871 | ENDDO |
---|
[1392] | 872 | x_out((nx+1)/2) = CMPLX( ar((nx+1)/2), 0.0_wp, KIND=wp ) |
---|
[1216] | 873 | |
---|
| 874 | CALL FFTW_EXECUTE_DFT_C2R( plan_xi, x_out, x_in) |
---|
| 875 | ar(0:nx) = x_in(0:nx) |
---|
| 876 | |
---|
| 877 | ENDIF |
---|
| 878 | #endif |
---|
| 879 | |
---|
[1] | 880 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
| 881 | |
---|
[1815] | 882 | #if defined( __ibm ) |
---|
[1106] | 883 | IF ( forward_fft ) THEN |
---|
[1] | 884 | |
---|
[1320] | 885 | CALL DRCFT( 0, ar, 1, work, 1, nx+1, 1, 1, sqr_dnx, aux1, nau1, & |
---|
[1] | 886 | aux2, nau2 ) |
---|
| 887 | |
---|
| 888 | DO i = 0, (nx+1)/2 |
---|
| 889 | ar(i) = work(2*i) |
---|
| 890 | ENDDO |
---|
| 891 | DO i = 1, (nx+1)/2 - 1 |
---|
| 892 | ar(nx+1-i) = work(2*i+1) |
---|
| 893 | ENDDO |
---|
| 894 | |
---|
| 895 | ELSE |
---|
| 896 | |
---|
| 897 | DO i = 0, (nx+1)/2 |
---|
| 898 | work(2*i) = ar(i) |
---|
| 899 | ENDDO |
---|
| 900 | DO i = 1, (nx+1)/2 - 1 |
---|
| 901 | work(2*i+1) = ar(nx+1-i) |
---|
| 902 | ENDDO |
---|
[1342] | 903 | work(1) = 0.0_wp |
---|
| 904 | work(nx+2) = 0.0_wp |
---|
[1] | 905 | |
---|
[1106] | 906 | CALL DCRFT( 0, work, 1, work, 1, nx+1, 1, -1, sqr_dnx, aux3, nau1, & |
---|
[1] | 907 | aux4, nau2 ) |
---|
| 908 | |
---|
| 909 | DO i = 0, nx |
---|
| 910 | ar(i) = work(i) |
---|
| 911 | ENDDO |
---|
| 912 | |
---|
| 913 | ENDIF |
---|
| 914 | #elif defined( __nec ) |
---|
[1106] | 915 | IF ( forward_fft ) THEN |
---|
[1] | 916 | |
---|
| 917 | work(0:nx) = ar(0:nx) |
---|
| 918 | |
---|
[1106] | 919 | CALL DZFFT( 1, nx+1, sqr_dnx, work, work, trig_xf, work2, 0 ) |
---|
| 920 | |
---|
[1] | 921 | DO i = 0, (nx+1)/2 |
---|
| 922 | ar(i) = work(2*i) |
---|
| 923 | ENDDO |
---|
| 924 | DO i = 1, (nx+1)/2 - 1 |
---|
| 925 | ar(nx+1-i) = work(2*i+1) |
---|
| 926 | ENDDO |
---|
| 927 | |
---|
| 928 | ELSE |
---|
| 929 | |
---|
| 930 | DO i = 0, (nx+1)/2 |
---|
| 931 | work(2*i) = ar(i) |
---|
| 932 | ENDDO |
---|
| 933 | DO i = 1, (nx+1)/2 - 1 |
---|
| 934 | work(2*i+1) = ar(nx+1-i) |
---|
| 935 | ENDDO |
---|
[1342] | 936 | work(1) = 0.0_wp |
---|
| 937 | work(nx+2) = 0.0_wp |
---|
[1] | 938 | |
---|
[1106] | 939 | CALL ZDFFT( -1, nx+1, sqr_dnx, work, work, trig_xb, work2, 0 ) |
---|
[1] | 940 | |
---|
| 941 | ar(0:nx) = work(0:nx) |
---|
| 942 | |
---|
| 943 | ENDIF |
---|
| 944 | #endif |
---|
| 945 | |
---|
| 946 | ENDIF |
---|
| 947 | |
---|
[1106] | 948 | END SUBROUTINE fft_x_1d |
---|
[1] | 949 | |
---|
[1682] | 950 | !------------------------------------------------------------------------------! |
---|
| 951 | ! Description: |
---|
| 952 | ! ------------ |
---|
| 953 | !> Fourier-transformation along y-direction. |
---|
| 954 | !> Version for 2D-decomposition. |
---|
| 955 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
| 956 | !> system-specific routines, if they are available. |
---|
| 957 | !> |
---|
| 958 | !> direction: 'forward' or 'backward' |
---|
| 959 | !> ar, ar_tr: 3D data arrays |
---|
| 960 | !> forward: ar: before ar_tr: after transformation |
---|
| 961 | !> backward: ar_tr: before ar: after transfosition |
---|
| 962 | !> |
---|
| 963 | !> In case of non-overlapping transposition/transformation: |
---|
| 964 | !> nxl_y_bound = nxl_y_l = nxl_y |
---|
| 965 | !> nxr_y_bound = nxr_y_l = nxr_y |
---|
| 966 | !> |
---|
| 967 | !> In case of overlapping transposition/transformation |
---|
| 968 | !> - nxl_y_bound and nxr_y_bound have the original values of |
---|
| 969 | !> nxl_y, nxr_y. ar_tr is dimensioned using these values. |
---|
| 970 | !> - nxl_y_l = nxr_y_r. ar is dimensioned with these values, so that |
---|
| 971 | !> transformation is carried out for a 2D-plane only. |
---|
| 972 | !------------------------------------------------------------------------------! |
---|
| 973 | |
---|
[1216] | 974 | SUBROUTINE fft_y( ar, direction, ar_tr, nxl_y_bound, nxr_y_bound, nxl_y_l, & |
---|
| 975 | nxr_y_l ) |
---|
[1] | 976 | |
---|
| 977 | |
---|
| 978 | IMPLICIT NONE |
---|
| 979 | |
---|
[1682] | 980 | CHARACTER (LEN=*) :: direction !< |
---|
[1320] | 981 | |
---|
[1682] | 982 | INTEGER(iwp) :: i !< |
---|
| 983 | INTEGER(iwp) :: j !< |
---|
| 984 | INTEGER(iwp) :: jshape(1) !< |
---|
| 985 | INTEGER(iwp) :: k !< |
---|
| 986 | INTEGER(iwp) :: nxl_y_bound !< |
---|
| 987 | INTEGER(iwp) :: nxl_y_l !< |
---|
| 988 | INTEGER(iwp) :: nxr_y_bound !< |
---|
| 989 | INTEGER(iwp) :: nxr_y_l !< |
---|
[1106] | 990 | |
---|
[1682] | 991 | LOGICAL :: forward_fft !< |
---|
[1106] | 992 | |
---|
[1682] | 993 | REAL(wp), DIMENSION(0:ny+2) :: work !< |
---|
| 994 | REAL(wp), DIMENSION(ny+2) :: work1 !< |
---|
[1320] | 995 | |
---|
[1682] | 996 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
[1320] | 997 | |
---|
[1106] | 998 | #if defined( __ibm ) |
---|
[1682] | 999 | REAL(wp), DIMENSION(nau2) :: auy2 !< |
---|
| 1000 | REAL(wp), DIMENSION(nau2) :: auy4 !< |
---|
[1106] | 1001 | #elif defined( __nec ) |
---|
[1682] | 1002 | REAL(wp), DIMENSION(6*(ny+1)) :: work2 !< |
---|
[1106] | 1003 | #endif |
---|
| 1004 | |
---|
[1320] | 1005 | REAL(wp), DIMENSION(0:ny,nxl_y_l:nxr_y_l,nzb_y:nzt_y) :: & |
---|
[1682] | 1006 | ar !< |
---|
[1320] | 1007 | REAL(wp), DIMENSION(0:ny,nxl_y_bound:nxr_y_bound,nzb_y:nzt_y) :: & |
---|
[1682] | 1008 | ar_tr !< |
---|
[1320] | 1009 | |
---|
[1106] | 1010 | IF ( direction == 'forward' ) THEN |
---|
| 1011 | forward_fft = .TRUE. |
---|
| 1012 | ELSE |
---|
| 1013 | forward_fft = .FALSE. |
---|
| 1014 | ENDIF |
---|
| 1015 | |
---|
| 1016 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
| 1017 | |
---|
| 1018 | ! |
---|
| 1019 | !-- Performing the fft with singleton's software works on every system, |
---|
| 1020 | !-- since it is part of the model |
---|
| 1021 | ALLOCATE( cwork(0:ny) ) |
---|
| 1022 | |
---|
| 1023 | IF ( forward_fft ) then |
---|
| 1024 | |
---|
| 1025 | !$OMP PARALLEL PRIVATE ( cwork, i, jshape, j, k ) |
---|
| 1026 | !$OMP DO |
---|
| 1027 | DO k = nzb_y, nzt_y |
---|
[1216] | 1028 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1029 | |
---|
| 1030 | DO j = 0, ny |
---|
[1392] | 1031 | cwork(j) = CMPLX( ar(j,i,k), KIND=wp ) |
---|
[1106] | 1032 | ENDDO |
---|
| 1033 | |
---|
| 1034 | jshape = SHAPE( cwork ) |
---|
| 1035 | CALL FFTN( cwork, jshape ) |
---|
| 1036 | |
---|
| 1037 | DO j = 0, (ny+1)/2 |
---|
[1322] | 1038 | ar_tr(j,i,k) = REAL( cwork(j), KIND=wp ) |
---|
[1106] | 1039 | ENDDO |
---|
| 1040 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1041 | ar_tr(ny+1-j,i,k) = -AIMAG( cwork(j) ) |
---|
[1106] | 1042 | ENDDO |
---|
| 1043 | |
---|
| 1044 | ENDDO |
---|
| 1045 | ENDDO |
---|
| 1046 | !$OMP END PARALLEL |
---|
| 1047 | |
---|
| 1048 | ELSE |
---|
| 1049 | |
---|
| 1050 | !$OMP PARALLEL PRIVATE ( cwork, i, jshape, j, k ) |
---|
| 1051 | !$OMP DO |
---|
| 1052 | DO k = nzb_y, nzt_y |
---|
[1216] | 1053 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1054 | |
---|
[1392] | 1055 | cwork(0) = CMPLX( ar_tr(0,i,k), 0.0_wp, KIND=wp ) |
---|
[1106] | 1056 | DO j = 1, (ny+1)/2 - 1 |
---|
[1392] | 1057 | cwork(j) = CMPLX( ar_tr(j,i,k), -ar_tr(ny+1-j,i,k), & |
---|
| 1058 | KIND=wp ) |
---|
| 1059 | cwork(ny+1-j) = CMPLX( ar_tr(j,i,k), ar_tr(ny+1-j,i,k), & |
---|
| 1060 | KIND=wp ) |
---|
[1106] | 1061 | ENDDO |
---|
[1392] | 1062 | cwork((ny+1)/2) = CMPLX( ar_tr((ny+1)/2,i,k), 0.0_wp, & |
---|
| 1063 | KIND=wp ) |
---|
[1106] | 1064 | |
---|
| 1065 | jshape = SHAPE( cwork ) |
---|
| 1066 | CALL FFTN( cwork, jshape, inv = .TRUE. ) |
---|
| 1067 | |
---|
| 1068 | DO j = 0, ny |
---|
[1322] | 1069 | ar(j,i,k) = REAL( cwork(j), KIND=wp ) |
---|
[1106] | 1070 | ENDDO |
---|
| 1071 | |
---|
| 1072 | ENDDO |
---|
| 1073 | ENDDO |
---|
| 1074 | !$OMP END PARALLEL |
---|
| 1075 | |
---|
| 1076 | ENDIF |
---|
| 1077 | |
---|
| 1078 | DEALLOCATE( cwork ) |
---|
| 1079 | |
---|
| 1080 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 1081 | |
---|
| 1082 | ! |
---|
| 1083 | !-- Performing the fft with Temperton's software works on every system, |
---|
| 1084 | !-- since it is part of the model |
---|
| 1085 | IF ( forward_fft ) THEN |
---|
| 1086 | |
---|
[1304] | 1087 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
[1106] | 1088 | !$OMP DO |
---|
| 1089 | DO k = nzb_y, nzt_y |
---|
[1216] | 1090 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1091 | |
---|
| 1092 | work(0:ny) = ar(0:ny,i,k) |
---|
| 1093 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, -1 ) |
---|
| 1094 | |
---|
| 1095 | DO j = 0, (ny+1)/2 |
---|
[1216] | 1096 | ar_tr(j,i,k) = work(2*j) |
---|
[1106] | 1097 | ENDDO |
---|
| 1098 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1099 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
[1106] | 1100 | ENDDO |
---|
| 1101 | |
---|
| 1102 | ENDDO |
---|
| 1103 | ENDDO |
---|
| 1104 | !$OMP END PARALLEL |
---|
| 1105 | |
---|
| 1106 | ELSE |
---|
| 1107 | |
---|
[1304] | 1108 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
[1106] | 1109 | !$OMP DO |
---|
| 1110 | DO k = nzb_y, nzt_y |
---|
[1216] | 1111 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1112 | |
---|
| 1113 | DO j = 0, (ny+1)/2 |
---|
[1216] | 1114 | work(2*j) = ar_tr(j,i,k) |
---|
[1106] | 1115 | ENDDO |
---|
| 1116 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1117 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
[1106] | 1118 | ENDDO |
---|
[1342] | 1119 | work(1) = 0.0_wp |
---|
| 1120 | work(ny+2) = 0.0_wp |
---|
[1106] | 1121 | |
---|
| 1122 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, 1 ) |
---|
| 1123 | ar(0:ny,i,k) = work(0:ny) |
---|
| 1124 | |
---|
| 1125 | ENDDO |
---|
| 1126 | ENDDO |
---|
| 1127 | !$OMP END PARALLEL |
---|
| 1128 | |
---|
| 1129 | ENDIF |
---|
| 1130 | |
---|
[1210] | 1131 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
| 1132 | |
---|
| 1133 | #if defined( __fftw ) |
---|
| 1134 | IF ( forward_fft ) THEN |
---|
| 1135 | |
---|
| 1136 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 1137 | !$OMP DO |
---|
| 1138 | DO k = nzb_y, nzt_y |
---|
[1216] | 1139 | DO i = nxl_y_l, nxr_y_l |
---|
[1210] | 1140 | |
---|
| 1141 | y_in(0:ny) = ar(0:ny,i,k) |
---|
| 1142 | CALL FFTW_EXECUTE_DFT_R2C( plan_yf, y_in, y_out ) |
---|
| 1143 | |
---|
| 1144 | DO j = 0, (ny+1)/2 |
---|
[1322] | 1145 | ar_tr(j,i,k) = REAL( y_out(j), KIND=wp ) / (ny+1) |
---|
[1210] | 1146 | ENDDO |
---|
| 1147 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1148 | ar_tr(ny+1-j,i,k) = AIMAG( y_out(j) ) / (ny+1) |
---|
[1210] | 1149 | ENDDO |
---|
| 1150 | |
---|
| 1151 | ENDDO |
---|
| 1152 | ENDDO |
---|
| 1153 | !$OMP END PARALLEL |
---|
| 1154 | |
---|
| 1155 | ELSE |
---|
| 1156 | |
---|
| 1157 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 1158 | !$OMP DO |
---|
| 1159 | DO k = nzb_y, nzt_y |
---|
[1216] | 1160 | DO i = nxl_y_l, nxr_y_l |
---|
[1210] | 1161 | |
---|
[1392] | 1162 | y_out(0) = CMPLX( ar_tr(0,i,k), 0.0_wp, KIND=wp ) |
---|
[1210] | 1163 | DO j = 1, (ny+1)/2 - 1 |
---|
[1398] | 1164 | y_out(j) = CMPLX( ar_tr(j,i,k), ar_tr(ny+1-j,i,k), & |
---|
| 1165 | KIND=wp ) |
---|
[1210] | 1166 | ENDDO |
---|
[1392] | 1167 | y_out((ny+1)/2) = CMPLX( ar_tr((ny+1)/2,i,k), 0.0_wp, & |
---|
| 1168 | KIND=wp ) |
---|
[1210] | 1169 | |
---|
| 1170 | CALL FFTW_EXECUTE_DFT_C2R( plan_yi, y_out, y_in ) |
---|
| 1171 | ar(0:ny,i,k) = y_in(0:ny) |
---|
| 1172 | |
---|
| 1173 | ENDDO |
---|
| 1174 | ENDDO |
---|
| 1175 | !$OMP END PARALLEL |
---|
| 1176 | |
---|
| 1177 | ENDIF |
---|
| 1178 | #endif |
---|
| 1179 | |
---|
[1106] | 1180 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
| 1181 | |
---|
[1815] | 1182 | #if defined( __ibm ) |
---|
[1106] | 1183 | IF ( forward_fft) THEN |
---|
| 1184 | |
---|
| 1185 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 1186 | !$OMP DO |
---|
| 1187 | DO k = nzb_y, nzt_y |
---|
[1216] | 1188 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1189 | |
---|
[1320] | 1190 | CALL DRCFT( 0, ar, 1, work, 1, ny+1, 1, 1, sqr_dny, auy1, & |
---|
| 1191 | nau1, auy2, nau2 ) |
---|
[1106] | 1192 | |
---|
| 1193 | DO j = 0, (ny+1)/2 |
---|
[1216] | 1194 | ar_tr(j,i,k) = work(2*j) |
---|
[1106] | 1195 | ENDDO |
---|
| 1196 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1197 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
[1106] | 1198 | ENDDO |
---|
| 1199 | |
---|
| 1200 | ENDDO |
---|
| 1201 | ENDDO |
---|
| 1202 | !$OMP END PARALLEL |
---|
| 1203 | |
---|
| 1204 | ELSE |
---|
| 1205 | |
---|
| 1206 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 1207 | !$OMP DO |
---|
| 1208 | DO k = nzb_y, nzt_y |
---|
[1216] | 1209 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1210 | |
---|
| 1211 | DO j = 0, (ny+1)/2 |
---|
[1216] | 1212 | work(2*j) = ar_tr(j,i,k) |
---|
[1106] | 1213 | ENDDO |
---|
| 1214 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1215 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
[1106] | 1216 | ENDDO |
---|
[1342] | 1217 | work(1) = 0.0_wp |
---|
| 1218 | work(ny+2) = 0.0_wp |
---|
[1106] | 1219 | |
---|
[1320] | 1220 | CALL DCRFT( 0, work, 1, work, 1, ny+1, 1, -1, sqr_dny, & |
---|
| 1221 | auy3, nau1, auy4, nau2 ) |
---|
[1106] | 1222 | |
---|
| 1223 | DO j = 0, ny |
---|
| 1224 | ar(j,i,k) = work(j) |
---|
| 1225 | ENDDO |
---|
| 1226 | |
---|
| 1227 | ENDDO |
---|
| 1228 | ENDDO |
---|
| 1229 | !$OMP END PARALLEL |
---|
| 1230 | |
---|
| 1231 | ENDIF |
---|
| 1232 | #elif defined( __nec ) |
---|
| 1233 | IF ( forward_fft ) THEN |
---|
| 1234 | |
---|
| 1235 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 1236 | !$OMP DO |
---|
| 1237 | DO k = nzb_y, nzt_y |
---|
[1216] | 1238 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1239 | |
---|
| 1240 | work(0:ny) = ar(0:ny,i,k) |
---|
| 1241 | |
---|
| 1242 | CALL DZFFT( 1, ny+1, sqr_dny, work, work, trig_yf, work2, 0 ) |
---|
| 1243 | |
---|
| 1244 | DO j = 0, (ny+1)/2 |
---|
[1216] | 1245 | ar_tr(j,i,k) = work(2*j) |
---|
[1106] | 1246 | ENDDO |
---|
| 1247 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1248 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
[1106] | 1249 | ENDDO |
---|
| 1250 | |
---|
| 1251 | ENDDO |
---|
| 1252 | ENDDO |
---|
| 1253 | !$END OMP PARALLEL |
---|
| 1254 | |
---|
| 1255 | ELSE |
---|
| 1256 | |
---|
| 1257 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 1258 | !$OMP DO |
---|
| 1259 | DO k = nzb_y, nzt_y |
---|
[1216] | 1260 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1261 | |
---|
| 1262 | DO j = 0, (ny+1)/2 |
---|
[1216] | 1263 | work(2*j) = ar_tr(j,i,k) |
---|
[1106] | 1264 | ENDDO |
---|
| 1265 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1266 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
[1106] | 1267 | ENDDO |
---|
[1342] | 1268 | work(1) = 0.0_wp |
---|
| 1269 | work(ny+2) = 0.0_wp |
---|
[1106] | 1270 | |
---|
| 1271 | CALL ZDFFT( -1, ny+1, sqr_dny, work, work, trig_yb, work2, 0 ) |
---|
| 1272 | |
---|
| 1273 | ar(0:ny,i,k) = work(0:ny) |
---|
| 1274 | |
---|
| 1275 | ENDDO |
---|
| 1276 | ENDDO |
---|
| 1277 | !$OMP END PARALLEL |
---|
| 1278 | |
---|
| 1279 | ENDIF |
---|
| 1280 | #endif |
---|
| 1281 | |
---|
| 1282 | ENDIF |
---|
| 1283 | |
---|
| 1284 | END SUBROUTINE fft_y |
---|
| 1285 | |
---|
[1682] | 1286 | !------------------------------------------------------------------------------! |
---|
| 1287 | ! Description: |
---|
| 1288 | ! ------------ |
---|
| 1289 | !> Fourier-transformation along y-direction. |
---|
| 1290 | !> Version for 1D-decomposition. |
---|
| 1291 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
| 1292 | !> system-specific routines, if they are available. |
---|
| 1293 | !------------------------------------------------------------------------------! |
---|
| 1294 | |
---|
[1106] | 1295 | SUBROUTINE fft_y_1d( ar, direction ) |
---|
| 1296 | |
---|
| 1297 | |
---|
| 1298 | IMPLICIT NONE |
---|
| 1299 | |
---|
| 1300 | CHARACTER (LEN=*) :: direction |
---|
[1320] | 1301 | |
---|
[1682] | 1302 | INTEGER(iwp) :: j !< |
---|
| 1303 | INTEGER(iwp) :: jshape(1) !< |
---|
[1] | 1304 | |
---|
[1682] | 1305 | LOGICAL :: forward_fft !< |
---|
[1106] | 1306 | |
---|
[1682] | 1307 | REAL(wp), DIMENSION(0:ny) :: ar !< |
---|
| 1308 | REAL(wp), DIMENSION(0:ny+2) :: work !< |
---|
| 1309 | REAL(wp), DIMENSION(ny+2) :: work1 !< |
---|
[1320] | 1310 | |
---|
[1682] | 1311 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
[1320] | 1312 | |
---|
[1] | 1313 | #if defined( __ibm ) |
---|
[1682] | 1314 | REAL(wp), DIMENSION(nau2) :: auy2 !< |
---|
| 1315 | REAL(wp), DIMENSION(nau2) :: auy4 !< |
---|
[1] | 1316 | #elif defined( __nec ) |
---|
[1682] | 1317 | REAL(wp), DIMENSION(6*(ny+1)) :: work2 !< |
---|
[1] | 1318 | #endif |
---|
| 1319 | |
---|
[1106] | 1320 | IF ( direction == 'forward' ) THEN |
---|
| 1321 | forward_fft = .TRUE. |
---|
| 1322 | ELSE |
---|
| 1323 | forward_fft = .FALSE. |
---|
| 1324 | ENDIF |
---|
| 1325 | |
---|
[1] | 1326 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
| 1327 | |
---|
| 1328 | ! |
---|
| 1329 | !-- Performing the fft with singleton's software works on every system, |
---|
| 1330 | !-- since it is part of the model |
---|
| 1331 | ALLOCATE( cwork(0:ny) ) |
---|
| 1332 | |
---|
[1106] | 1333 | IF ( forward_fft ) THEN |
---|
[1] | 1334 | |
---|
| 1335 | DO j = 0, ny |
---|
[1392] | 1336 | cwork(j) = CMPLX( ar(j), KIND=wp ) |
---|
[1] | 1337 | ENDDO |
---|
| 1338 | |
---|
| 1339 | jshape = SHAPE( cwork ) |
---|
| 1340 | CALL FFTN( cwork, jshape ) |
---|
| 1341 | |
---|
| 1342 | DO j = 0, (ny+1)/2 |
---|
[1322] | 1343 | ar(j) = REAL( cwork(j), KIND=wp ) |
---|
[1] | 1344 | ENDDO |
---|
| 1345 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1346 | ar(ny+1-j) = -AIMAG( cwork(j) ) |
---|
| 1347 | ENDDO |
---|
| 1348 | |
---|
| 1349 | ELSE |
---|
| 1350 | |
---|
[1392] | 1351 | cwork(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
[1] | 1352 | DO j = 1, (ny+1)/2 - 1 |
---|
[1392] | 1353 | cwork(j) = CMPLX( ar(j), -ar(ny+1-j), KIND=wp ) |
---|
| 1354 | cwork(ny+1-j) = CMPLX( ar(j), ar(ny+1-j), KIND=wp ) |
---|
[1] | 1355 | ENDDO |
---|
[1392] | 1356 | cwork((ny+1)/2) = CMPLX( ar((ny+1)/2), 0.0_wp, KIND=wp ) |
---|
[1] | 1357 | |
---|
| 1358 | jshape = SHAPE( cwork ) |
---|
| 1359 | CALL FFTN( cwork, jshape, inv = .TRUE. ) |
---|
| 1360 | |
---|
| 1361 | DO j = 0, ny |
---|
[1322] | 1362 | ar(j) = REAL( cwork(j), KIND=wp ) |
---|
[1] | 1363 | ENDDO |
---|
| 1364 | |
---|
| 1365 | ENDIF |
---|
| 1366 | |
---|
| 1367 | DEALLOCATE( cwork ) |
---|
| 1368 | |
---|
| 1369 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 1370 | |
---|
| 1371 | ! |
---|
| 1372 | !-- Performing the fft with Temperton's software works on every system, |
---|
| 1373 | !-- since it is part of the model |
---|
[1106] | 1374 | IF ( forward_fft ) THEN |
---|
[1] | 1375 | |
---|
| 1376 | work(0:ny) = ar |
---|
| 1377 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, -1 ) |
---|
| 1378 | |
---|
| 1379 | DO j = 0, (ny+1)/2 |
---|
| 1380 | ar(j) = work(2*j) |
---|
| 1381 | ENDDO |
---|
| 1382 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1383 | ar(ny+1-j) = work(2*j+1) |
---|
| 1384 | ENDDO |
---|
| 1385 | |
---|
| 1386 | ELSE |
---|
| 1387 | |
---|
| 1388 | DO j = 0, (ny+1)/2 |
---|
| 1389 | work(2*j) = ar(j) |
---|
| 1390 | ENDDO |
---|
| 1391 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1392 | work(2*j+1) = ar(ny+1-j) |
---|
| 1393 | ENDDO |
---|
[1342] | 1394 | work(1) = 0.0_wp |
---|
| 1395 | work(ny+2) = 0.0_wp |
---|
[1] | 1396 | |
---|
| 1397 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, 1 ) |
---|
| 1398 | ar = work(0:ny) |
---|
| 1399 | |
---|
| 1400 | ENDIF |
---|
| 1401 | |
---|
[1216] | 1402 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
| 1403 | |
---|
| 1404 | #if defined( __fftw ) |
---|
| 1405 | IF ( forward_fft ) THEN |
---|
| 1406 | |
---|
| 1407 | y_in(0:ny) = ar(0:ny) |
---|
| 1408 | CALL FFTW_EXECUTE_DFT_R2C( plan_yf, y_in, y_out ) |
---|
| 1409 | |
---|
| 1410 | DO j = 0, (ny+1)/2 |
---|
[1322] | 1411 | ar(j) = REAL( y_out(j), KIND=wp ) / (ny+1) |
---|
[1216] | 1412 | ENDDO |
---|
| 1413 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1414 | ar(ny+1-j) = AIMAG( y_out(j) ) / (ny+1) |
---|
| 1415 | ENDDO |
---|
| 1416 | |
---|
| 1417 | ELSE |
---|
| 1418 | |
---|
[1392] | 1419 | y_out(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
[1216] | 1420 | DO j = 1, (ny+1)/2 - 1 |
---|
[1392] | 1421 | y_out(j) = CMPLX( ar(j), ar(ny+1-j), KIND=wp ) |
---|
[1216] | 1422 | ENDDO |
---|
[1392] | 1423 | y_out((ny+1)/2) = CMPLX( ar((ny+1)/2), 0.0_wp, KIND=wp ) |
---|
[1216] | 1424 | |
---|
| 1425 | CALL FFTW_EXECUTE_DFT_C2R( plan_yi, y_out, y_in ) |
---|
| 1426 | ar(0:ny) = y_in(0:ny) |
---|
| 1427 | |
---|
| 1428 | ENDIF |
---|
| 1429 | #endif |
---|
| 1430 | |
---|
[1] | 1431 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
| 1432 | |
---|
[1815] | 1433 | #if defined( __ibm ) |
---|
[1106] | 1434 | IF ( forward_fft ) THEN |
---|
[1] | 1435 | |
---|
[1320] | 1436 | CALL DRCFT( 0, ar, 1, work, 1, ny+1, 1, 1, sqr_dny, auy1, nau1, & |
---|
[1] | 1437 | auy2, nau2 ) |
---|
| 1438 | |
---|
| 1439 | DO j = 0, (ny+1)/2 |
---|
| 1440 | ar(j) = work(2*j) |
---|
| 1441 | ENDDO |
---|
| 1442 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1443 | ar(ny+1-j) = work(2*j+1) |
---|
| 1444 | ENDDO |
---|
| 1445 | |
---|
| 1446 | ELSE |
---|
| 1447 | |
---|
| 1448 | DO j = 0, (ny+1)/2 |
---|
| 1449 | work(2*j) = ar(j) |
---|
| 1450 | ENDDO |
---|
| 1451 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1452 | work(2*j+1) = ar(ny+1-j) |
---|
| 1453 | ENDDO |
---|
[1342] | 1454 | work(1) = 0.0_wp |
---|
| 1455 | work(ny+2) = 0.0_wp |
---|
[1] | 1456 | |
---|
[1320] | 1457 | CALL DCRFT( 0, work, 1, work, 1, ny+1, 1, -1, sqr_dny, auy3, & |
---|
| 1458 | nau1, auy4, nau2 ) |
---|
[1] | 1459 | |
---|
| 1460 | DO j = 0, ny |
---|
| 1461 | ar(j) = work(j) |
---|
| 1462 | ENDDO |
---|
| 1463 | |
---|
| 1464 | ENDIF |
---|
| 1465 | #elif defined( __nec ) |
---|
[1106] | 1466 | IF ( forward_fft ) THEN |
---|
[1] | 1467 | |
---|
| 1468 | work(0:ny) = ar(0:ny) |
---|
| 1469 | |
---|
[1106] | 1470 | CALL DZFFT( 1, ny+1, sqr_dny, work, work, trig_yf, work2, 0 ) |
---|
[1] | 1471 | |
---|
| 1472 | DO j = 0, (ny+1)/2 |
---|
| 1473 | ar(j) = work(2*j) |
---|
| 1474 | ENDDO |
---|
| 1475 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1476 | ar(ny+1-j) = work(2*j+1) |
---|
| 1477 | ENDDO |
---|
| 1478 | |
---|
| 1479 | ELSE |
---|
| 1480 | |
---|
| 1481 | DO j = 0, (ny+1)/2 |
---|
| 1482 | work(2*j) = ar(j) |
---|
| 1483 | ENDDO |
---|
| 1484 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1485 | work(2*j+1) = ar(ny+1-j) |
---|
| 1486 | ENDDO |
---|
[1342] | 1487 | work(1) = 0.0_wp |
---|
| 1488 | work(ny+2) = 0.0_wp |
---|
[1] | 1489 | |
---|
[1106] | 1490 | CALL ZDFFT( -1, ny+1, sqr_dny, work, work, trig_yb, work2, 0 ) |
---|
[1] | 1491 | |
---|
| 1492 | ar(0:ny) = work(0:ny) |
---|
| 1493 | |
---|
| 1494 | ENDIF |
---|
| 1495 | #endif |
---|
| 1496 | |
---|
| 1497 | ENDIF |
---|
| 1498 | |
---|
[1106] | 1499 | END SUBROUTINE fft_y_1d |
---|
[1] | 1500 | |
---|
[1682] | 1501 | !------------------------------------------------------------------------------! |
---|
| 1502 | ! Description: |
---|
| 1503 | ! ------------ |
---|
| 1504 | !> Fourier-transformation along x-direction. |
---|
| 1505 | !> Version for 1d domain decomposition |
---|
| 1506 | !> using multiple 1D FFT from Math Keisan on NEC or Temperton-algorithm |
---|
| 1507 | !> (no singleton-algorithm on NEC because it does not vectorize) |
---|
| 1508 | !------------------------------------------------------------------------------! |
---|
| 1509 | |
---|
[1] | 1510 | SUBROUTINE fft_x_m( ar, direction ) |
---|
| 1511 | |
---|
| 1512 | |
---|
| 1513 | IMPLICIT NONE |
---|
| 1514 | |
---|
[1682] | 1515 | CHARACTER (LEN=*) :: direction !< |
---|
[1320] | 1516 | |
---|
[1682] | 1517 | INTEGER(iwp) :: i !< |
---|
| 1518 | INTEGER(iwp) :: k !< |
---|
| 1519 | INTEGER(iwp) :: siza !< |
---|
[3241] | 1520 | #if defined( __nec ) |
---|
| 1521 | INTEGER(iwp) :: sizw |
---|
| 1522 | #endif |
---|
[1] | 1523 | |
---|
[1682] | 1524 | REAL(wp), DIMENSION(0:nx,nz) :: ar !< |
---|
| 1525 | REAL(wp), DIMENSION(0:nx+3,nz+1) :: ai !< |
---|
| 1526 | REAL(wp), DIMENSION(6*(nx+4),nz+1) :: work1 !< |
---|
[1320] | 1527 | |
---|
[3241] | 1528 | #if defined( __nec ) |
---|
| 1529 | COMPLEX(wp), DIMENSION(:,:), ALLOCATABLE :: work |
---|
| 1530 | #endif |
---|
[1] | 1531 | |
---|
| 1532 | IF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 1533 | |
---|
| 1534 | siza = SIZE( ai, 1 ) |
---|
| 1535 | |
---|
| 1536 | IF ( direction == 'forward') THEN |
---|
| 1537 | |
---|
| 1538 | ai(0:nx,1:nz) = ar(0:nx,1:nz) |
---|
[1342] | 1539 | ai(nx+1:,:) = 0.0_wp |
---|
[1] | 1540 | |
---|
| 1541 | CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, -1 ) |
---|
| 1542 | |
---|
| 1543 | DO k = 1, nz |
---|
| 1544 | DO i = 0, (nx+1)/2 |
---|
| 1545 | ar(i,k) = ai(2*i,k) |
---|
| 1546 | ENDDO |
---|
| 1547 | DO i = 1, (nx+1)/2 - 1 |
---|
| 1548 | ar(nx+1-i,k) = ai(2*i+1,k) |
---|
| 1549 | ENDDO |
---|
| 1550 | ENDDO |
---|
| 1551 | |
---|
| 1552 | ELSE |
---|
| 1553 | |
---|
| 1554 | DO k = 1, nz |
---|
| 1555 | DO i = 0, (nx+1)/2 |
---|
| 1556 | ai(2*i,k) = ar(i,k) |
---|
| 1557 | ENDDO |
---|
| 1558 | DO i = 1, (nx+1)/2 - 1 |
---|
| 1559 | ai(2*i+1,k) = ar(nx+1-i,k) |
---|
| 1560 | ENDDO |
---|
[1342] | 1561 | ai(1,k) = 0.0_wp |
---|
| 1562 | ai(nx+2,k) = 0.0_wp |
---|
[1] | 1563 | ENDDO |
---|
| 1564 | |
---|
| 1565 | CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, 1 ) |
---|
| 1566 | |
---|
| 1567 | ar(0:nx,1:nz) = ai(0:nx,1:nz) |
---|
| 1568 | |
---|
| 1569 | ENDIF |
---|
| 1570 | |
---|
| 1571 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
| 1572 | |
---|
| 1573 | #if defined( __nec ) |
---|
[2300] | 1574 | ALLOCATE( work((nx+4)/2+1,nz+1) ) |
---|
[1] | 1575 | siza = SIZE( ai, 1 ) |
---|
| 1576 | sizw = SIZE( work, 1 ) |
---|
| 1577 | |
---|
| 1578 | IF ( direction == 'forward') THEN |
---|
| 1579 | |
---|
| 1580 | ! |
---|
| 1581 | !-- Tables are initialized once more. This call should not be |
---|
| 1582 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
[1320] | 1583 | CALL DZFFTM( 0, nx+1, nz1, sqr_dnx, work, nx+4, work, nx+4, & |
---|
[1] | 1584 | trig_xf, work1, 0 ) |
---|
| 1585 | |
---|
| 1586 | ai(0:nx,1:nz) = ar(0:nx,1:nz) |
---|
| 1587 | IF ( nz1 > nz ) THEN |
---|
[1342] | 1588 | ai(:,nz1) = 0.0_wp |
---|
[1] | 1589 | ENDIF |
---|
| 1590 | |
---|
[1320] | 1591 | CALL DZFFTM( 1, nx+1, nz1, sqr_dnx, ai, siza, work, sizw, & |
---|
[1] | 1592 | trig_xf, work1, 0 ) |
---|
| 1593 | |
---|
| 1594 | DO k = 1, nz |
---|
| 1595 | DO i = 0, (nx+1)/2 |
---|
[1322] | 1596 | ar(i,k) = REAL( work(i+1,k), KIND=wp ) |
---|
[1] | 1597 | ENDDO |
---|
| 1598 | DO i = 1, (nx+1)/2 - 1 |
---|
| 1599 | ar(nx+1-i,k) = AIMAG( work(i+1,k) ) |
---|
| 1600 | ENDDO |
---|
| 1601 | ENDDO |
---|
| 1602 | |
---|
| 1603 | ELSE |
---|
| 1604 | |
---|
| 1605 | ! |
---|
| 1606 | !-- Tables are initialized once more. This call should not be |
---|
| 1607 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
[1320] | 1608 | CALL ZDFFTM( 0, nx+1, nz1, sqr_dnx, work, nx+4, work, nx+4, & |
---|
[1] | 1609 | trig_xb, work1, 0 ) |
---|
| 1610 | |
---|
| 1611 | IF ( nz1 > nz ) THEN |
---|
[1342] | 1612 | work(:,nz1) = 0.0_wp |
---|
[1] | 1613 | ENDIF |
---|
| 1614 | DO k = 1, nz |
---|
[1392] | 1615 | work(1,k) = CMPLX( ar(0,k), 0.0_wp, KIND=wp ) |
---|
[1] | 1616 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 1617 | work(i+1,k) = CMPLX( ar(i,k), ar(nx+1-i,k), KIND=wp ) |
---|
[1] | 1618 | ENDDO |
---|
[1392] | 1619 | work(((nx+1)/2)+1,k) = CMPLX( ar((nx+1)/2,k), 0.0_wp, KIND=wp ) |
---|
[1] | 1620 | ENDDO |
---|
| 1621 | |
---|
[1106] | 1622 | CALL ZDFFTM( -1, nx+1, nz1, sqr_dnx, work, sizw, ai, siza, & |
---|
[1] | 1623 | trig_xb, work1, 0 ) |
---|
| 1624 | |
---|
| 1625 | ar(0:nx,1:nz) = ai(0:nx,1:nz) |
---|
| 1626 | |
---|
| 1627 | ENDIF |
---|
| 1628 | |
---|
[2300] | 1629 | DEALLOCATE( work ) |
---|
[1] | 1630 | #endif |
---|
| 1631 | |
---|
| 1632 | ENDIF |
---|
| 1633 | |
---|
| 1634 | END SUBROUTINE fft_x_m |
---|
| 1635 | |
---|
[1682] | 1636 | !------------------------------------------------------------------------------! |
---|
| 1637 | ! Description: |
---|
| 1638 | ! ------------ |
---|
| 1639 | !> Fourier-transformation along y-direction. |
---|
| 1640 | !> Version for 1d domain decomposition |
---|
| 1641 | !> using multiple 1D FFT from Math Keisan on NEC or Temperton-algorithm |
---|
| 1642 | !> (no singleton-algorithm on NEC because it does not vectorize) |
---|
| 1643 | !------------------------------------------------------------------------------! |
---|
| 1644 | |
---|
[1] | 1645 | SUBROUTINE fft_y_m( ar, ny1, direction ) |
---|
| 1646 | |
---|
| 1647 | |
---|
| 1648 | IMPLICIT NONE |
---|
| 1649 | |
---|
[1682] | 1650 | CHARACTER (LEN=*) :: direction !< |
---|
[1320] | 1651 | |
---|
[1682] | 1652 | INTEGER(iwp) :: j !< |
---|
| 1653 | INTEGER(iwp) :: k !< |
---|
| 1654 | INTEGER(iwp) :: ny1 !< |
---|
| 1655 | INTEGER(iwp) :: siza !< |
---|
[3241] | 1656 | #if defined( __nec ) |
---|
| 1657 | INTEGER(iwp) :: sizw |
---|
| 1658 | #endif |
---|
[1] | 1659 | |
---|
[1682] | 1660 | REAL(wp), DIMENSION(0:ny1,nz) :: ar !< |
---|
| 1661 | REAL(wp), DIMENSION(0:ny+3,nz+1) :: ai !< |
---|
| 1662 | REAL(wp), DIMENSION(6*(ny+4),nz+1) :: work1 !< |
---|
[1] | 1663 | |
---|
[3241] | 1664 | #if defined( __nec ) |
---|
| 1665 | COMPLEX(wp), DIMENSION(:,:), ALLOCATABLE :: work |
---|
| 1666 | #endif |
---|
[2300] | 1667 | |
---|
[3241] | 1668 | |
---|
[1] | 1669 | IF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 1670 | |
---|
| 1671 | siza = SIZE( ai, 1 ) |
---|
| 1672 | |
---|
| 1673 | IF ( direction == 'forward') THEN |
---|
| 1674 | |
---|
| 1675 | ai(0:ny,1:nz) = ar(0:ny,1:nz) |
---|
[1342] | 1676 | ai(ny+1:,:) = 0.0_wp |
---|
[1] | 1677 | |
---|
| 1678 | CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, -1 ) |
---|
| 1679 | |
---|
| 1680 | DO k = 1, nz |
---|
| 1681 | DO j = 0, (ny+1)/2 |
---|
| 1682 | ar(j,k) = ai(2*j,k) |
---|
| 1683 | ENDDO |
---|
| 1684 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1685 | ar(ny+1-j,k) = ai(2*j+1,k) |
---|
| 1686 | ENDDO |
---|
| 1687 | ENDDO |
---|
| 1688 | |
---|
| 1689 | ELSE |
---|
| 1690 | |
---|
| 1691 | DO k = 1, nz |
---|
| 1692 | DO j = 0, (ny+1)/2 |
---|
| 1693 | ai(2*j,k) = ar(j,k) |
---|
| 1694 | ENDDO |
---|
| 1695 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1696 | ai(2*j+1,k) = ar(ny+1-j,k) |
---|
| 1697 | ENDDO |
---|
[1342] | 1698 | ai(1,k) = 0.0_wp |
---|
| 1699 | ai(ny+2,k) = 0.0_wp |
---|
[1] | 1700 | ENDDO |
---|
| 1701 | |
---|
| 1702 | CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, 1 ) |
---|
| 1703 | |
---|
| 1704 | ar(0:ny,1:nz) = ai(0:ny,1:nz) |
---|
| 1705 | |
---|
| 1706 | ENDIF |
---|
| 1707 | |
---|
| 1708 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
| 1709 | |
---|
| 1710 | #if defined( __nec ) |
---|
[2300] | 1711 | ALLOCATE( work((ny+4)/2+1,nz+1) ) |
---|
[1] | 1712 | siza = SIZE( ai, 1 ) |
---|
| 1713 | sizw = SIZE( work, 1 ) |
---|
| 1714 | |
---|
| 1715 | IF ( direction == 'forward') THEN |
---|
| 1716 | |
---|
| 1717 | ! |
---|
| 1718 | !-- Tables are initialized once more. This call should not be |
---|
| 1719 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
[1106] | 1720 | CALL DZFFTM( 0, ny+1, nz1, sqr_dny, work, ny+4, work, ny+4, & |
---|
[1] | 1721 | trig_yf, work1, 0 ) |
---|
| 1722 | |
---|
| 1723 | ai(0:ny,1:nz) = ar(0:ny,1:nz) |
---|
| 1724 | IF ( nz1 > nz ) THEN |
---|
[1342] | 1725 | ai(:,nz1) = 0.0_wp |
---|
[1] | 1726 | ENDIF |
---|
| 1727 | |
---|
[1106] | 1728 | CALL DZFFTM( 1, ny+1, nz1, sqr_dny, ai, siza, work, sizw, & |
---|
[1] | 1729 | trig_yf, work1, 0 ) |
---|
| 1730 | |
---|
| 1731 | DO k = 1, nz |
---|
| 1732 | DO j = 0, (ny+1)/2 |
---|
[1322] | 1733 | ar(j,k) = REAL( work(j+1,k), KIND=wp ) |
---|
[1] | 1734 | ENDDO |
---|
| 1735 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1736 | ar(ny+1-j,k) = AIMAG( work(j+1,k) ) |
---|
| 1737 | ENDDO |
---|
| 1738 | ENDDO |
---|
| 1739 | |
---|
| 1740 | ELSE |
---|
| 1741 | |
---|
| 1742 | ! |
---|
| 1743 | !-- Tables are initialized once more. This call should not be |
---|
| 1744 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
[1106] | 1745 | CALL ZDFFTM( 0, ny+1, nz1, sqr_dny, work, ny+4, work, ny+4, & |
---|
[1] | 1746 | trig_yb, work1, 0 ) |
---|
| 1747 | |
---|
| 1748 | IF ( nz1 > nz ) THEN |
---|
[1342] | 1749 | work(:,nz1) = 0.0_wp |
---|
[1] | 1750 | ENDIF |
---|
| 1751 | DO k = 1, nz |
---|
[1392] | 1752 | work(1,k) = CMPLX( ar(0,k), 0.0_wp, KIND=wp ) |
---|
[1] | 1753 | DO j = 1, (ny+1)/2 - 1 |
---|
[1392] | 1754 | work(j+1,k) = CMPLX( ar(j,k), ar(ny+1-j,k), KIND=wp ) |
---|
[1] | 1755 | ENDDO |
---|
[1392] | 1756 | work(((ny+1)/2)+1,k) = CMPLX( ar((ny+1)/2,k), 0.0_wp, KIND=wp ) |
---|
[1] | 1757 | ENDDO |
---|
| 1758 | |
---|
[1106] | 1759 | CALL ZDFFTM( -1, ny+1, nz1, sqr_dny, work, sizw, ai, siza, & |
---|
[1] | 1760 | trig_yb, work1, 0 ) |
---|
| 1761 | |
---|
| 1762 | ar(0:ny,1:nz) = ai(0:ny,1:nz) |
---|
| 1763 | |
---|
| 1764 | ENDIF |
---|
| 1765 | |
---|
[2300] | 1766 | DEALLOCATE( work ) |
---|
[1] | 1767 | #endif |
---|
| 1768 | |
---|
| 1769 | ENDIF |
---|
| 1770 | |
---|
| 1771 | END SUBROUTINE fft_y_m |
---|
| 1772 | |
---|
[1106] | 1773 | |
---|
[1] | 1774 | END MODULE fft_xy |
---|