[1850] | 1 | !> @file fft_xy_mod.f90 |
---|
[2000] | 2 | !------------------------------------------------------------------------------! |
---|
[1036] | 3 | ! This file is part of PALM. |
---|
| 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 | ! |
---|
[1818] | 17 | ! Copyright 1997-2016 Leibniz Universitaet Hannover |
---|
[1322] | 18 | !------------------------------------------------------------------------------! |
---|
[1036] | 19 | ! |
---|
[254] | 20 | ! Current revisions: |
---|
[1] | 21 | ! ----------------- |
---|
[1683] | 22 | ! |
---|
[2001] | 23 | ! |
---|
[1321] | 24 | ! Former revisions: |
---|
| 25 | ! ----------------- |
---|
| 26 | ! $Id: fft_xy_mod.f90 2001 2016-08-20 18:41:22Z lvollmer $ |
---|
| 27 | ! |
---|
[2001] | 28 | ! 2000 2016-08-20 18:09:15Z knoop |
---|
| 29 | ! Forced header and separation lines into 80 columns |
---|
| 30 | ! |
---|
[1851] | 31 | ! 1850 2016-04-08 13:29:27Z maronga |
---|
| 32 | ! Module renamed |
---|
| 33 | ! |
---|
| 34 | ! |
---|
[1816] | 35 | ! 1815 2016-04-06 13:49:59Z raasch |
---|
| 36 | ! cpp-directives for ibmy removed |
---|
| 37 | ! |
---|
[1750] | 38 | ! 1749 2016-02-09 12:19:56Z raasch |
---|
| 39 | ! small OpenACC bugfix |
---|
| 40 | ! |
---|
[1683] | 41 | ! 1682 2015-10-07 23:56:08Z knoop |
---|
| 42 | ! Code annotations made doxygen readable |
---|
| 43 | ! |
---|
[1601] | 44 | ! 1600 2015-06-11 15:50:12Z raasch |
---|
| 45 | ! bugfix: openMP threadprivate statement moved after variable declaration |
---|
| 46 | ! |
---|
[1483] | 47 | ! 1482 2014-10-18 12:34:45Z raasch |
---|
| 48 | ! cudafft workaround for data declaration of ar_tmp because of PGI 14.1 bug |
---|
| 49 | ! |
---|
[1403] | 50 | ! 1402 2014-05-09 14:25:13Z raasch |
---|
| 51 | ! fortran bugfix for r1392 |
---|
| 52 | ! |
---|
[1399] | 53 | ! 1398 2014-05-07 11:15:00Z heinze |
---|
| 54 | ! bugfix: typo removed for KIND in CMPLX function |
---|
| 55 | ! |
---|
[1393] | 56 | ! 1392 2014-05-06 09:10:05Z raasch |
---|
| 57 | ! bugfix: KIND attribute added to CMPLX functions |
---|
| 58 | ! |
---|
[1375] | 59 | ! 1374 2014-04-25 12:55:07Z raasch |
---|
| 60 | ! bugfixes: missing variables added to ONLY list, dpk renamed dp |
---|
| 61 | ! |
---|
[1373] | 62 | ! 1372 2014-04-24 06:29:32Z raasch |
---|
| 63 | ! openMP-bugfix for fftw: some arrays defined as threadprivate |
---|
| 64 | ! |
---|
[1354] | 65 | ! 1353 2014-04-08 15:21:23Z heinze |
---|
| 66 | ! REAL constants provided with KIND-attribute |
---|
| 67 | ! |
---|
[1343] | 68 | ! 1342 2014-03-26 17:04:47Z kanani |
---|
| 69 | ! REAL constants defined as wp-kind |
---|
| 70 | ! |
---|
[1323] | 71 | ! 1322 2014-03-20 16:38:49Z raasch |
---|
| 72 | ! REAL functions provided with KIND-attribute |
---|
| 73 | ! |
---|
[1321] | 74 | ! 1320 2014-03-20 08:40:49Z raasch |
---|
[1320] | 75 | ! ONLY-attribute added to USE-statements, |
---|
| 76 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
---|
| 77 | ! kinds are defined in new module kinds, |
---|
| 78 | ! old module precision_kind is removed, |
---|
| 79 | ! revision history before 2012 removed, |
---|
| 80 | ! comment fields (!:) to be used for variable explanations added to |
---|
| 81 | ! all variable declaration statements |
---|
[1] | 82 | ! |
---|
[1305] | 83 | ! 1304 2014-03-12 10:29:42Z raasch |
---|
| 84 | ! openmp bugfix: work1 used in Temperton algorithm must be private |
---|
| 85 | ! |
---|
[1258] | 86 | ! 1257 2013-11-08 15:18:40Z raasch |
---|
| 87 | ! openacc loop and loop vector clauses removed, declare create moved after |
---|
| 88 | ! the FORTRAN declaration statement |
---|
| 89 | ! |
---|
[1220] | 90 | ! 1219 2013-08-30 09:33:18Z heinze |
---|
| 91 | ! bugfix: use own branch for fftw |
---|
| 92 | ! |
---|
[1217] | 93 | ! 1216 2013-08-26 09:31:42Z raasch |
---|
| 94 | ! fft_x and fft_y modified for parallel / ovverlapping execution of fft and |
---|
| 95 | ! transpositions, |
---|
| 96 | ! fftw implemented for 1d-decomposition (fft_x_1d, fft_y_1d) |
---|
| 97 | ! |
---|
[1211] | 98 | ! 1210 2013-08-14 10:58:20Z raasch |
---|
| 99 | ! fftw added |
---|
| 100 | ! |
---|
[1167] | 101 | ! 1166 2013-05-24 13:55:44Z raasch |
---|
| 102 | ! C_DOUBLE/COMPLEX reset to dpk |
---|
| 103 | ! |
---|
[1154] | 104 | ! 1153 2013-05-10 14:33:08Z raasch |
---|
| 105 | ! code adjustment of data types for CUDA fft required by PGI 12.3 / CUDA 5.0 |
---|
| 106 | ! |
---|
[1112] | 107 | ! 1111 2013-03-08 23:54:10Z raasch |
---|
| 108 | ! further openACC statements added, CUDA branch completely runs on GPU |
---|
| 109 | ! bugfix: CUDA fft plans adjusted for domain decomposition (before they always |
---|
| 110 | ! used total domain) |
---|
| 111 | ! |
---|
[1107] | 112 | ! 1106 2013-03-04 05:31:38Z raasch |
---|
| 113 | ! CUDA fft added |
---|
| 114 | ! array_kind renamed precision_kind, 3D- instead of 1D-loops in fft_x and fft_y |
---|
| 115 | ! old fft_x, fft_y become fft_x_1d, fft_y_1d and are used for 1D-decomposition |
---|
| 116 | ! |
---|
[1093] | 117 | ! 1092 2013-02-02 11:24:22Z raasch |
---|
| 118 | ! variable sizw declared for NEC case only |
---|
| 119 | ! |
---|
[1037] | 120 | ! 1036 2012-10-22 13:43:42Z raasch |
---|
| 121 | ! code put under GPL (PALM 3.9) |
---|
| 122 | ! |
---|
[1] | 123 | ! Revision 1.1 2002/06/11 13:00:49 raasch |
---|
| 124 | ! Initial revision |
---|
| 125 | ! |
---|
| 126 | ! |
---|
| 127 | ! Description: |
---|
| 128 | ! ------------ |
---|
[1682] | 129 | !> Fast Fourier transformation along x and y for 1d domain decomposition along x. |
---|
| 130 | !> Original version: Klaus Ketelsen (May 2002) |
---|
[1] | 131 | !------------------------------------------------------------------------------! |
---|
[1682] | 132 | MODULE fft_xy |
---|
| 133 | |
---|
[1] | 134 | |
---|
[1320] | 135 | USE control_parameters, & |
---|
| 136 | ONLY: fft_method, message_string |
---|
| 137 | |
---|
| 138 | USE indices, & |
---|
| 139 | ONLY: nx, ny, nz |
---|
| 140 | |
---|
[1153] | 141 | #if defined( __cuda_fft ) |
---|
| 142 | USE ISO_C_BINDING |
---|
[1210] | 143 | #elif defined( __fftw ) |
---|
| 144 | USE, INTRINSIC :: ISO_C_BINDING |
---|
[1153] | 145 | #endif |
---|
[1320] | 146 | |
---|
| 147 | USE kinds |
---|
| 148 | |
---|
| 149 | USE singleton, & |
---|
| 150 | ONLY: fftn |
---|
| 151 | |
---|
[1] | 152 | USE temperton_fft |
---|
[1320] | 153 | |
---|
| 154 | USE transpose_indices, & |
---|
[1374] | 155 | ONLY: nxl_y, nxr_y, nyn_x, nys_x, nzb_x, nzb_y, nzt_x, nzt_y |
---|
[1] | 156 | |
---|
| 157 | IMPLICIT NONE |
---|
| 158 | |
---|
| 159 | PRIVATE |
---|
[1106] | 160 | PUBLIC fft_x, fft_x_1d, fft_y, fft_y_1d, fft_init, fft_x_m, fft_y_m |
---|
[1] | 161 | |
---|
[1682] | 162 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE, SAVE :: ifax_x !< |
---|
| 163 | INTEGER(iwp), DIMENSION(:), ALLOCATABLE, SAVE :: ifax_y !< |
---|
[1] | 164 | |
---|
[1682] | 165 | LOGICAL, SAVE :: init_fft = .FALSE. !< |
---|
[1] | 166 | |
---|
[1682] | 167 | REAL(wp), SAVE :: dnx !< |
---|
| 168 | REAL(wp), SAVE :: dny !< |
---|
| 169 | REAL(wp), SAVE :: sqr_dnx !< |
---|
| 170 | REAL(wp), SAVE :: sqr_dny !< |
---|
[1320] | 171 | |
---|
[1682] | 172 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trigs_x !< |
---|
| 173 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trigs_y !< |
---|
[1] | 174 | |
---|
| 175 | #if defined( __ibm ) |
---|
[1682] | 176 | INTEGER(iwp), PARAMETER :: nau1 = 20000 !< |
---|
| 177 | INTEGER(iwp), PARAMETER :: nau2 = 22000 !< |
---|
[1] | 178 | ! |
---|
| 179 | !-- The following working arrays contain tables and have to be "save" and |
---|
| 180 | !-- shared in OpenMP sense |
---|
[1682] | 181 | REAL(wp), DIMENSION(nau1), SAVE :: aux1 !< |
---|
| 182 | REAL(wp), DIMENSION(nau1), SAVE :: auy1 !< |
---|
| 183 | REAL(wp), DIMENSION(nau1), SAVE :: aux3 !< |
---|
| 184 | REAL(wp), DIMENSION(nau1), SAVE :: auy3 !< |
---|
[1320] | 185 | |
---|
[1] | 186 | #elif defined( __nec ) |
---|
[1682] | 187 | INTEGER(iwp), SAVE :: nz1 !< |
---|
[1320] | 188 | |
---|
[1682] | 189 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_xb !< |
---|
| 190 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_xf !< |
---|
| 191 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_yb !< |
---|
| 192 | REAL(wp), DIMENSION(:), ALLOCATABLE, SAVE :: trig_yf !< |
---|
[1320] | 193 | |
---|
[1106] | 194 | #elif defined( __cuda_fft ) |
---|
[1682] | 195 | INTEGER(C_INT), SAVE :: plan_xf !< |
---|
| 196 | INTEGER(C_INT), SAVE :: plan_xi !< |
---|
| 197 | INTEGER(C_INT), SAVE :: plan_yf !< |
---|
| 198 | INTEGER(C_INT), SAVE :: plan_yi !< |
---|
[1320] | 199 | |
---|
[1682] | 200 | INTEGER(iwp), SAVE :: total_points_x_transpo !< |
---|
| 201 | INTEGER(iwp), SAVE :: total_points_y_transpo !< |
---|
[1219] | 202 | #endif |
---|
| 203 | |
---|
| 204 | #if defined( __fftw ) |
---|
[1210] | 205 | INCLUDE 'fftw3.f03' |
---|
[1682] | 206 | INTEGER(KIND=C_INT) :: nx_c !< |
---|
| 207 | INTEGER(KIND=C_INT) :: ny_c !< |
---|
[1320] | 208 | |
---|
[1682] | 209 | COMPLEX(KIND=C_DOUBLE_COMPLEX), DIMENSION(:), ALLOCATABLE, SAVE :: x_out !< |
---|
[1320] | 210 | COMPLEX(KIND=C_DOUBLE_COMPLEX), DIMENSION(:), ALLOCATABLE, SAVE :: & |
---|
[1682] | 211 | y_out !< |
---|
[1320] | 212 | |
---|
| 213 | REAL(KIND=C_DOUBLE), DIMENSION(:), ALLOCATABLE, SAVE :: & |
---|
[1682] | 214 | x_in !< |
---|
[1320] | 215 | REAL(KIND=C_DOUBLE), DIMENSION(:), ALLOCATABLE, SAVE :: & |
---|
[1682] | 216 | y_in !< |
---|
[1600] | 217 | !$OMP THREADPRIVATE( x_out, y_out, x_in, y_in ) |
---|
[1320] | 218 | |
---|
| 219 | |
---|
[1210] | 220 | TYPE(C_PTR), SAVE :: plan_xf, plan_xi, plan_yf, plan_yi |
---|
[1] | 221 | #endif |
---|
| 222 | |
---|
| 223 | ! |
---|
| 224 | !-- Public interfaces |
---|
| 225 | INTERFACE fft_init |
---|
| 226 | MODULE PROCEDURE fft_init |
---|
| 227 | END INTERFACE fft_init |
---|
| 228 | |
---|
| 229 | INTERFACE fft_x |
---|
| 230 | MODULE PROCEDURE fft_x |
---|
| 231 | END INTERFACE fft_x |
---|
| 232 | |
---|
[1106] | 233 | INTERFACE fft_x_1d |
---|
| 234 | MODULE PROCEDURE fft_x_1d |
---|
| 235 | END INTERFACE fft_x_1d |
---|
| 236 | |
---|
[1] | 237 | INTERFACE fft_y |
---|
| 238 | MODULE PROCEDURE fft_y |
---|
| 239 | END INTERFACE fft_y |
---|
| 240 | |
---|
[1106] | 241 | INTERFACE fft_y_1d |
---|
| 242 | MODULE PROCEDURE fft_y_1d |
---|
| 243 | END INTERFACE fft_y_1d |
---|
| 244 | |
---|
[1] | 245 | INTERFACE fft_x_m |
---|
| 246 | MODULE PROCEDURE fft_x_m |
---|
| 247 | END INTERFACE fft_x_m |
---|
| 248 | |
---|
| 249 | INTERFACE fft_y_m |
---|
| 250 | MODULE PROCEDURE fft_y_m |
---|
| 251 | END INTERFACE fft_y_m |
---|
| 252 | |
---|
| 253 | CONTAINS |
---|
| 254 | |
---|
| 255 | |
---|
[1682] | 256 | !------------------------------------------------------------------------------! |
---|
| 257 | ! Description: |
---|
| 258 | ! ------------ |
---|
| 259 | !> @todo Missing subroutine description. |
---|
| 260 | !------------------------------------------------------------------------------! |
---|
[1] | 261 | SUBROUTINE fft_init |
---|
| 262 | |
---|
[1106] | 263 | USE cuda_fft_interfaces |
---|
| 264 | |
---|
[1] | 265 | IMPLICIT NONE |
---|
| 266 | |
---|
| 267 | ! |
---|
| 268 | !-- The following temporary working arrays have to be on stack or private |
---|
| 269 | !-- in OpenMP sense |
---|
| 270 | #if defined( __ibm ) |
---|
[1682] | 271 | REAL(wp), DIMENSION(0:nx+2) :: workx !< |
---|
| 272 | REAL(wp), DIMENSION(0:ny+2) :: worky !< |
---|
| 273 | REAL(wp), DIMENSION(nau2) :: aux2 !< |
---|
| 274 | REAL(wp), DIMENSION(nau2) :: auy2 !< |
---|
| 275 | REAL(wp), DIMENSION(nau2) :: aux4 !< |
---|
| 276 | REAL(wp), DIMENSION(nau2) :: auy4 !< |
---|
[1] | 277 | #elif defined( __nec ) |
---|
[1682] | 278 | REAL(wp), DIMENSION(0:nx+3,nz+1) :: work_x !< |
---|
| 279 | REAL(wp), DIMENSION(0:ny+3,nz+1) :: work_y !< |
---|
| 280 | REAL(wp), DIMENSION(6*(nx+3),nz+1) :: workx !< |
---|
| 281 | REAL(wp), DIMENSION(6*(ny+3),nz+1) :: worky !< |
---|
[1] | 282 | #endif |
---|
| 283 | |
---|
| 284 | ! |
---|
| 285 | !-- Return, if already called |
---|
| 286 | IF ( init_fft ) THEN |
---|
| 287 | RETURN |
---|
| 288 | ELSE |
---|
| 289 | init_fft = .TRUE. |
---|
| 290 | ENDIF |
---|
| 291 | |
---|
| 292 | IF ( fft_method == 'system-specific' ) THEN |
---|
| 293 | |
---|
[1342] | 294 | dnx = 1.0_wp / ( nx + 1.0_wp ) |
---|
| 295 | dny = 1.0_wp / ( ny + 1.0_wp ) |
---|
[1106] | 296 | sqr_dnx = SQRT( dnx ) |
---|
| 297 | sqr_dny = SQRT( dny ) |
---|
[1815] | 298 | #if defined( __ibm ) |
---|
[1] | 299 | ! |
---|
| 300 | !-- Initialize tables for fft along x |
---|
[1106] | 301 | CALL DRCFT( 1, workx, 1, workx, 1, nx+1, 1, 1, sqr_dnx, aux1, nau1, & |
---|
[1] | 302 | aux2, nau2 ) |
---|
[1106] | 303 | CALL DCRFT( 1, workx, 1, workx, 1, nx+1, 1, -1, sqr_dnx, aux3, nau1, & |
---|
[1] | 304 | aux4, nau2 ) |
---|
| 305 | ! |
---|
| 306 | !-- Initialize tables for fft along y |
---|
[1106] | 307 | CALL DRCFT( 1, worky, 1, worky, 1, ny+1, 1, 1, sqr_dny, auy1, nau1, & |
---|
[1] | 308 | auy2, nau2 ) |
---|
[1106] | 309 | CALL DCRFT( 1, worky, 1, worky, 1, ny+1, 1, -1, sqr_dny, auy3, nau1, & |
---|
[1] | 310 | auy4, nau2 ) |
---|
| 311 | #elif defined( __nec ) |
---|
[254] | 312 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
| 313 | '" currently does not work on NEC' |
---|
| 314 | CALL message( 'fft_init', 'PA0187', 1, 2, 0, 6, 0 ) |
---|
[1] | 315 | |
---|
[1320] | 316 | ALLOCATE( trig_xb(2*(nx+1)), trig_xf(2*(nx+1)), & |
---|
[1] | 317 | trig_yb(2*(ny+1)), trig_yf(2*(ny+1)) ) |
---|
| 318 | |
---|
[1342] | 319 | work_x = 0.0_wp |
---|
| 320 | work_y = 0.0_wp |
---|
[1] | 321 | nz1 = nz + MOD( nz+1, 2 ) ! odd nz slows down fft significantly |
---|
| 322 | ! when using the NEC ffts |
---|
| 323 | |
---|
| 324 | ! |
---|
| 325 | !-- Initialize tables for fft along x (non-vector and vector case (M)) |
---|
[1106] | 326 | CALL DZFFT( 0, nx+1, sqr_dnx, work_x, work_x, trig_xf, workx, 0 ) |
---|
| 327 | CALL ZDFFT( 0, nx+1, sqr_dnx, work_x, work_x, trig_xb, workx, 0 ) |
---|
[1320] | 328 | CALL DZFFTM( 0, nx+1, nz1, sqr_dnx, work_x, nx+4, work_x, nx+4, & |
---|
[1] | 329 | trig_xf, workx, 0 ) |
---|
[1320] | 330 | CALL ZDFFTM( 0, nx+1, nz1, sqr_dnx, work_x, nx+4, work_x, nx+4, & |
---|
[1] | 331 | trig_xb, workx, 0 ) |
---|
| 332 | ! |
---|
| 333 | !-- Initialize tables for fft along y (non-vector and vector case (M)) |
---|
[1106] | 334 | CALL DZFFT( 0, ny+1, sqr_dny, work_y, work_y, trig_yf, worky, 0 ) |
---|
| 335 | CALL ZDFFT( 0, ny+1, sqr_dny, work_y, work_y, trig_yb, worky, 0 ) |
---|
[1320] | 336 | CALL DZFFTM( 0, ny+1, nz1, sqr_dny, work_y, ny+4, work_y, ny+4, & |
---|
[1] | 337 | trig_yf, worky, 0 ) |
---|
[1320] | 338 | CALL ZDFFTM( 0, ny+1, nz1, sqr_dny, work_y, ny+4, work_y, ny+4, & |
---|
[1] | 339 | trig_yb, worky, 0 ) |
---|
[1106] | 340 | #elif defined( __cuda_fft ) |
---|
| 341 | total_points_x_transpo = (nx+1) * (nyn_x-nys_x+1) * (nzt_x-nzb_x+1) |
---|
| 342 | total_points_y_transpo = (ny+1) * (nxr_y-nxl_y+1) * (nzt_y-nzb_y+1) |
---|
[1111] | 343 | CALL CUFFTPLAN1D( plan_xf, nx+1, CUFFT_D2Z, (nyn_x-nys_x+1) * (nzt_x-nzb_x+1) ) |
---|
| 344 | CALL CUFFTPLAN1D( plan_xi, nx+1, CUFFT_Z2D, (nyn_x-nys_x+1) * (nzt_x-nzb_x+1) ) |
---|
| 345 | CALL CUFFTPLAN1D( plan_yf, ny+1, CUFFT_D2Z, (nxr_y-nxl_y+1) * (nzt_y-nzb_y+1) ) |
---|
| 346 | CALL CUFFTPLAN1D( plan_yi, ny+1, CUFFT_Z2D, (nxr_y-nxl_y+1) * (nzt_y-nzb_y+1) ) |
---|
[1] | 347 | #else |
---|
[254] | 348 | message_string = 'no system-specific fft-call available' |
---|
| 349 | CALL message( 'fft_init', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
[1] | 350 | #endif |
---|
| 351 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 352 | ! |
---|
| 353 | !-- Temperton-algorithm |
---|
| 354 | !-- Initialize tables for fft along x and y |
---|
| 355 | ALLOCATE( ifax_x(nx+1), ifax_y(ny+1), trigs_x(nx+1), trigs_y(ny+1) ) |
---|
| 356 | |
---|
| 357 | CALL set99( trigs_x, ifax_x, nx+1 ) |
---|
| 358 | CALL set99( trigs_y, ifax_y, ny+1 ) |
---|
| 359 | |
---|
[1210] | 360 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
| 361 | ! |
---|
| 362 | !-- FFTW |
---|
| 363 | #if defined( __fftw ) |
---|
| 364 | nx_c = nx+1 |
---|
| 365 | ny_c = ny+1 |
---|
[1372] | 366 | !$OMP PARALLEL |
---|
[1320] | 367 | ALLOCATE( x_in(0:nx+2), y_in(0:ny+2), x_out(0:(nx+1)/2), & |
---|
[1210] | 368 | y_out(0:(ny+1)/2) ) |
---|
[1372] | 369 | !$OMP END PARALLEL |
---|
[1210] | 370 | plan_xf = FFTW_PLAN_DFT_R2C_1D( nx_c, x_in, x_out, FFTW_ESTIMATE ) |
---|
| 371 | plan_xi = FFTW_PLAN_DFT_C2R_1D( nx_c, x_out, x_in, FFTW_ESTIMATE ) |
---|
| 372 | plan_yf = FFTW_PLAN_DFT_R2C_1D( ny_c, y_in, y_out, FFTW_ESTIMATE ) |
---|
| 373 | plan_yi = FFTW_PLAN_DFT_C2R_1D( ny_c, y_out, y_in, FFTW_ESTIMATE ) |
---|
| 374 | #else |
---|
| 375 | message_string = 'preprocessor switch for fftw is missing' |
---|
| 376 | CALL message( 'fft_init', 'PA0080', 1, 2, 0, 6, 0 ) |
---|
| 377 | #endif |
---|
| 378 | |
---|
[1] | 379 | ELSEIF ( fft_method == 'singleton-algorithm' ) THEN |
---|
| 380 | |
---|
| 381 | CONTINUE |
---|
| 382 | |
---|
| 383 | ELSE |
---|
| 384 | |
---|
[254] | 385 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
| 386 | '" not available' |
---|
| 387 | CALL message( 'fft_init', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
[1] | 388 | ENDIF |
---|
| 389 | |
---|
| 390 | END SUBROUTINE fft_init |
---|
| 391 | |
---|
| 392 | |
---|
[1682] | 393 | !------------------------------------------------------------------------------! |
---|
| 394 | ! Description: |
---|
| 395 | ! ------------ |
---|
| 396 | !> Fourier-transformation along x-direction. |
---|
| 397 | !> Version for 2D-decomposition. |
---|
| 398 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
| 399 | !> system-specific routines, if they are available |
---|
| 400 | !------------------------------------------------------------------------------! |
---|
| 401 | |
---|
[1216] | 402 | SUBROUTINE fft_x( ar, direction, ar_2d ) |
---|
[1] | 403 | |
---|
| 404 | |
---|
[1106] | 405 | USE cuda_fft_interfaces |
---|
[1153] | 406 | #if defined( __cuda_fft ) |
---|
| 407 | USE ISO_C_BINDING |
---|
| 408 | #endif |
---|
[1106] | 409 | |
---|
[1] | 410 | IMPLICIT NONE |
---|
| 411 | |
---|
[1682] | 412 | CHARACTER (LEN=*) :: direction !< |
---|
[1320] | 413 | |
---|
[1682] | 414 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
[1106] | 415 | |
---|
[1682] | 416 | INTEGER(iwp) :: i !< |
---|
| 417 | INTEGER(iwp) :: ishape(1) !< |
---|
| 418 | INTEGER(iwp) :: j !< |
---|
| 419 | INTEGER(iwp) :: k !< |
---|
[1106] | 420 | |
---|
[1682] | 421 | LOGICAL :: forward_fft !< |
---|
[1320] | 422 | |
---|
[1682] | 423 | REAL(wp), DIMENSION(0:nx+2) :: work !< |
---|
| 424 | REAL(wp), DIMENSION(nx+2) :: work1 !< |
---|
[1320] | 425 | |
---|
[1106] | 426 | #if defined( __ibm ) |
---|
[1682] | 427 | REAL(wp), DIMENSION(nau2) :: aux2 !< |
---|
| 428 | REAL(wp), DIMENSION(nau2) :: aux4 !< |
---|
[1106] | 429 | #elif defined( __nec ) |
---|
[1682] | 430 | REAL(wp), DIMENSION(6*(nx+1)) :: work2 !< |
---|
[1106] | 431 | #elif defined( __cuda_fft ) |
---|
[1374] | 432 | COMPLEX(dp), DIMENSION(0:(nx+1)/2,nys_x:nyn_x,nzb_x:nzt_x) :: & |
---|
[1682] | 433 | ar_tmp !< |
---|
[1482] | 434 | ! following does not work for PGI 14.1 -> to be removed later |
---|
| 435 | ! !$acc declare create( ar_tmp ) |
---|
[1106] | 436 | #endif |
---|
| 437 | |
---|
[1320] | 438 | REAL(wp), DIMENSION(0:nx,nys_x:nyn_x), OPTIONAL :: & |
---|
[1682] | 439 | ar_2d !< |
---|
[1320] | 440 | REAL(wp), DIMENSION(0:nx,nys_x:nyn_x,nzb_x:nzt_x) :: & |
---|
[1682] | 441 | ar !< |
---|
[1320] | 442 | |
---|
[1106] | 443 | IF ( direction == 'forward' ) THEN |
---|
| 444 | forward_fft = .TRUE. |
---|
| 445 | ELSE |
---|
| 446 | forward_fft = .FALSE. |
---|
| 447 | ENDIF |
---|
| 448 | |
---|
| 449 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
| 450 | |
---|
| 451 | ! |
---|
| 452 | !-- Performing the fft with singleton's software works on every system, |
---|
| 453 | !-- since it is part of the model |
---|
| 454 | ALLOCATE( cwork(0:nx) ) |
---|
| 455 | |
---|
| 456 | IF ( forward_fft ) then |
---|
| 457 | |
---|
| 458 | !$OMP PARALLEL PRIVATE ( cwork, i, ishape, j, k ) |
---|
| 459 | !$OMP DO |
---|
| 460 | DO k = nzb_x, nzt_x |
---|
| 461 | DO j = nys_x, nyn_x |
---|
| 462 | |
---|
| 463 | DO i = 0, nx |
---|
[1392] | 464 | cwork(i) = CMPLX( ar(i,j,k), KIND=wp ) |
---|
[1106] | 465 | ENDDO |
---|
| 466 | |
---|
| 467 | ishape = SHAPE( cwork ) |
---|
| 468 | CALL FFTN( cwork, ishape ) |
---|
| 469 | |
---|
| 470 | DO i = 0, (nx+1)/2 |
---|
[1322] | 471 | ar(i,j,k) = REAL( cwork(i), KIND=wp ) |
---|
[1106] | 472 | ENDDO |
---|
| 473 | DO i = 1, (nx+1)/2 - 1 |
---|
| 474 | ar(nx+1-i,j,k) = -AIMAG( cwork(i) ) |
---|
| 475 | ENDDO |
---|
| 476 | |
---|
| 477 | ENDDO |
---|
| 478 | ENDDO |
---|
| 479 | !$OMP END PARALLEL |
---|
| 480 | |
---|
| 481 | ELSE |
---|
| 482 | |
---|
| 483 | !$OMP PARALLEL PRIVATE ( cwork, i, ishape, j, k ) |
---|
| 484 | !$OMP DO |
---|
| 485 | DO k = nzb_x, nzt_x |
---|
| 486 | DO j = nys_x, nyn_x |
---|
| 487 | |
---|
[1392] | 488 | cwork(0) = CMPLX( ar(0,j,k), 0.0_wp, KIND=wp ) |
---|
[1106] | 489 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 490 | cwork(i) = CMPLX( ar(i,j,k), -ar(nx+1-i,j,k), & |
---|
| 491 | KIND=wp ) |
---|
| 492 | cwork(nx+1-i) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k), & |
---|
| 493 | KIND=wp ) |
---|
[1106] | 494 | ENDDO |
---|
[1392] | 495 | cwork((nx+1)/2) = CMPLX( ar((nx+1)/2,j,k), 0.0_wp, KIND=wp ) |
---|
[1106] | 496 | |
---|
| 497 | ishape = SHAPE( cwork ) |
---|
| 498 | CALL FFTN( cwork, ishape, inv = .TRUE. ) |
---|
| 499 | |
---|
| 500 | DO i = 0, nx |
---|
[1322] | 501 | ar(i,j,k) = REAL( cwork(i), KIND=wp ) |
---|
[1106] | 502 | ENDDO |
---|
| 503 | |
---|
| 504 | ENDDO |
---|
| 505 | ENDDO |
---|
| 506 | !$OMP END PARALLEL |
---|
| 507 | |
---|
| 508 | ENDIF |
---|
| 509 | |
---|
| 510 | DEALLOCATE( cwork ) |
---|
| 511 | |
---|
| 512 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 513 | |
---|
| 514 | ! |
---|
| 515 | !-- Performing the fft with Temperton's software works on every system, |
---|
| 516 | !-- since it is part of the model |
---|
| 517 | IF ( forward_fft ) THEN |
---|
| 518 | |
---|
[1304] | 519 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
[1106] | 520 | !$OMP DO |
---|
| 521 | DO k = nzb_x, nzt_x |
---|
| 522 | DO j = nys_x, nyn_x |
---|
| 523 | |
---|
| 524 | work(0:nx) = ar(0:nx,j,k) |
---|
| 525 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, -1 ) |
---|
| 526 | |
---|
| 527 | DO i = 0, (nx+1)/2 |
---|
| 528 | ar(i,j,k) = work(2*i) |
---|
| 529 | ENDDO |
---|
| 530 | DO i = 1, (nx+1)/2 - 1 |
---|
| 531 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
| 532 | ENDDO |
---|
| 533 | |
---|
| 534 | ENDDO |
---|
| 535 | ENDDO |
---|
| 536 | !$OMP END PARALLEL |
---|
| 537 | |
---|
| 538 | ELSE |
---|
| 539 | |
---|
[1304] | 540 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
[1106] | 541 | !$OMP DO |
---|
| 542 | DO k = nzb_x, nzt_x |
---|
| 543 | DO j = nys_x, nyn_x |
---|
| 544 | |
---|
| 545 | DO i = 0, (nx+1)/2 |
---|
| 546 | work(2*i) = ar(i,j,k) |
---|
| 547 | ENDDO |
---|
| 548 | DO i = 1, (nx+1)/2 - 1 |
---|
| 549 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
| 550 | ENDDO |
---|
[1342] | 551 | work(1) = 0.0_wp |
---|
| 552 | work(nx+2) = 0.0_wp |
---|
[1106] | 553 | |
---|
| 554 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, 1 ) |
---|
| 555 | ar(0:nx,j,k) = work(0:nx) |
---|
| 556 | |
---|
| 557 | ENDDO |
---|
| 558 | ENDDO |
---|
| 559 | !$OMP END PARALLEL |
---|
| 560 | |
---|
| 561 | ENDIF |
---|
| 562 | |
---|
[1210] | 563 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
| 564 | |
---|
| 565 | #if defined( __fftw ) |
---|
| 566 | IF ( forward_fft ) THEN |
---|
| 567 | |
---|
| 568 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 569 | !$OMP DO |
---|
| 570 | DO k = nzb_x, nzt_x |
---|
| 571 | DO j = nys_x, nyn_x |
---|
| 572 | |
---|
| 573 | x_in(0:nx) = ar(0:nx,j,k) |
---|
| 574 | CALL FFTW_EXECUTE_DFT_R2C( plan_xf, x_in, x_out ) |
---|
| 575 | |
---|
[1216] | 576 | IF ( PRESENT( ar_2d ) ) THEN |
---|
[1210] | 577 | |
---|
[1216] | 578 | DO i = 0, (nx+1)/2 |
---|
[1322] | 579 | ar_2d(i,j) = REAL( x_out(i), KIND=wp ) / ( nx+1 ) |
---|
[1216] | 580 | ENDDO |
---|
| 581 | DO i = 1, (nx+1)/2 - 1 |
---|
| 582 | ar_2d(nx+1-i,j) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
| 583 | ENDDO |
---|
| 584 | |
---|
| 585 | ELSE |
---|
| 586 | |
---|
| 587 | DO i = 0, (nx+1)/2 |
---|
[1322] | 588 | ar(i,j,k) = REAL( x_out(i), KIND=wp ) / ( nx+1 ) |
---|
[1216] | 589 | ENDDO |
---|
| 590 | DO i = 1, (nx+1)/2 - 1 |
---|
| 591 | ar(nx+1-i,j,k) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
| 592 | ENDDO |
---|
| 593 | |
---|
| 594 | ENDIF |
---|
| 595 | |
---|
[1210] | 596 | ENDDO |
---|
| 597 | ENDDO |
---|
| 598 | !$OMP END PARALLEL |
---|
| 599 | |
---|
[1216] | 600 | ELSE |
---|
[1210] | 601 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 602 | !$OMP DO |
---|
| 603 | DO k = nzb_x, nzt_x |
---|
| 604 | DO j = nys_x, nyn_x |
---|
| 605 | |
---|
[1216] | 606 | IF ( PRESENT( ar_2d ) ) THEN |
---|
[1210] | 607 | |
---|
[1392] | 608 | x_out(0) = CMPLX( ar_2d(0,j), 0.0_wp, KIND=wp ) |
---|
[1216] | 609 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 610 | x_out(i) = CMPLX( ar_2d(i,j), ar_2d(nx+1-i,j), & |
---|
| 611 | KIND=wp ) |
---|
[1216] | 612 | ENDDO |
---|
[1392] | 613 | x_out((nx+1)/2) = CMPLX( ar_2d((nx+1)/2,j), 0.0_wp, & |
---|
| 614 | KIND=wp ) |
---|
[1216] | 615 | |
---|
| 616 | ELSE |
---|
| 617 | |
---|
[1392] | 618 | x_out(0) = CMPLX( ar(0,j,k), 0.0_wp, KIND=wp ) |
---|
[1216] | 619 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 620 | x_out(i) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k), KIND=wp ) |
---|
[1216] | 621 | ENDDO |
---|
[1392] | 622 | x_out((nx+1)/2) = CMPLX( ar((nx+1)/2,j,k), 0.0_wp, & |
---|
| 623 | KIND=wp ) |
---|
[1216] | 624 | |
---|
| 625 | ENDIF |
---|
| 626 | |
---|
[1210] | 627 | CALL FFTW_EXECUTE_DFT_C2R( plan_xi, x_out, x_in) |
---|
| 628 | ar(0:nx,j,k) = x_in(0:nx) |
---|
| 629 | |
---|
| 630 | ENDDO |
---|
| 631 | ENDDO |
---|
| 632 | !$OMP END PARALLEL |
---|
| 633 | |
---|
[1216] | 634 | ENDIF |
---|
[1210] | 635 | #endif |
---|
| 636 | |
---|
[1106] | 637 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
| 638 | |
---|
[1815] | 639 | #if defined( __ibm ) |
---|
[1106] | 640 | IF ( forward_fft ) THEN |
---|
| 641 | |
---|
| 642 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 643 | !$OMP DO |
---|
| 644 | DO k = nzb_x, nzt_x |
---|
| 645 | DO j = nys_x, nyn_x |
---|
| 646 | |
---|
[1320] | 647 | CALL DRCFT( 0, ar, 1, work, 1, nx+1, 1, 1, sqr_dnx, aux1, & |
---|
| 648 | nau1, aux2, nau2 ) |
---|
[1106] | 649 | |
---|
| 650 | DO i = 0, (nx+1)/2 |
---|
| 651 | ar(i,j,k) = work(2*i) |
---|
| 652 | ENDDO |
---|
| 653 | DO i = 1, (nx+1)/2 - 1 |
---|
| 654 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
| 655 | ENDDO |
---|
| 656 | |
---|
| 657 | ENDDO |
---|
| 658 | ENDDO |
---|
| 659 | !$OMP END PARALLEL |
---|
| 660 | |
---|
| 661 | ELSE |
---|
| 662 | |
---|
| 663 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 664 | !$OMP DO |
---|
| 665 | DO k = nzb_x, nzt_x |
---|
| 666 | DO j = nys_x, nyn_x |
---|
| 667 | |
---|
| 668 | DO i = 0, (nx+1)/2 |
---|
| 669 | work(2*i) = ar(i,j,k) |
---|
| 670 | ENDDO |
---|
| 671 | DO i = 1, (nx+1)/2 - 1 |
---|
| 672 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
| 673 | ENDDO |
---|
[1342] | 674 | work(1) = 0.0_wp |
---|
| 675 | work(nx+2) = 0.0_wp |
---|
[1106] | 676 | |
---|
[1320] | 677 | CALL DCRFT( 0, work, 1, work, 1, nx+1, 1, -1, sqr_dnx, & |
---|
| 678 | aux3, nau1, aux4, nau2 ) |
---|
[1106] | 679 | |
---|
| 680 | DO i = 0, nx |
---|
| 681 | ar(i,j,k) = work(i) |
---|
| 682 | ENDDO |
---|
| 683 | |
---|
| 684 | ENDDO |
---|
| 685 | ENDDO |
---|
| 686 | !$OMP END PARALLEL |
---|
| 687 | |
---|
| 688 | ENDIF |
---|
| 689 | |
---|
| 690 | #elif defined( __nec ) |
---|
| 691 | |
---|
| 692 | IF ( forward_fft ) THEN |
---|
| 693 | |
---|
| 694 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 695 | !$OMP DO |
---|
| 696 | DO k = nzb_x, nzt_x |
---|
| 697 | DO j = nys_x, nyn_x |
---|
| 698 | |
---|
| 699 | work(0:nx) = ar(0:nx,j,k) |
---|
| 700 | |
---|
| 701 | CALL DZFFT( 1, nx+1, sqr_dnx, work, work, trig_xf, work2, 0 ) |
---|
| 702 | |
---|
| 703 | DO i = 0, (nx+1)/2 |
---|
| 704 | ar(i,j,k) = work(2*i) |
---|
| 705 | ENDDO |
---|
| 706 | DO i = 1, (nx+1)/2 - 1 |
---|
| 707 | ar(nx+1-i,j,k) = work(2*i+1) |
---|
| 708 | ENDDO |
---|
| 709 | |
---|
| 710 | ENDDO |
---|
| 711 | ENDDO |
---|
| 712 | !$END OMP PARALLEL |
---|
| 713 | |
---|
| 714 | ELSE |
---|
| 715 | |
---|
| 716 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 717 | !$OMP DO |
---|
| 718 | DO k = nzb_x, nzt_x |
---|
| 719 | DO j = nys_x, nyn_x |
---|
| 720 | |
---|
| 721 | DO i = 0, (nx+1)/2 |
---|
| 722 | work(2*i) = ar(i,j,k) |
---|
| 723 | ENDDO |
---|
| 724 | DO i = 1, (nx+1)/2 - 1 |
---|
| 725 | work(2*i+1) = ar(nx+1-i,j,k) |
---|
| 726 | ENDDO |
---|
[1342] | 727 | work(1) = 0.0_wp |
---|
| 728 | work(nx+2) = 0.0_wp |
---|
[1106] | 729 | |
---|
| 730 | CALL ZDFFT( -1, nx+1, sqr_dnx, work, work, trig_xb, work2, 0 ) |
---|
| 731 | |
---|
| 732 | ar(0:nx,j,k) = work(0:nx) |
---|
| 733 | |
---|
| 734 | ENDDO |
---|
| 735 | ENDDO |
---|
| 736 | !$OMP END PARALLEL |
---|
| 737 | |
---|
| 738 | ENDIF |
---|
| 739 | |
---|
| 740 | #elif defined( __cuda_fft ) |
---|
| 741 | |
---|
[1482] | 742 | !$acc data create( ar_tmp ) |
---|
[1106] | 743 | IF ( forward_fft ) THEN |
---|
| 744 | |
---|
[1111] | 745 | !$acc data present( ar ) |
---|
| 746 | CALL CUFFTEXECD2Z( plan_xf, ar, ar_tmp ) |
---|
[1106] | 747 | |
---|
[1111] | 748 | !$acc kernels |
---|
[1106] | 749 | DO k = nzb_x, nzt_x |
---|
| 750 | DO j = nys_x, nyn_x |
---|
| 751 | |
---|
| 752 | DO i = 0, (nx+1)/2 |
---|
[1322] | 753 | ar(i,j,k) = REAL( ar_tmp(i,j,k), KIND=wp ) * dnx |
---|
[1106] | 754 | ENDDO |
---|
| 755 | |
---|
| 756 | DO i = 1, (nx+1)/2 - 1 |
---|
[1111] | 757 | ar(nx+1-i,j,k) = AIMAG( ar_tmp(i,j,k) ) * dnx |
---|
[1106] | 758 | ENDDO |
---|
| 759 | |
---|
| 760 | ENDDO |
---|
| 761 | ENDDO |
---|
[1111] | 762 | !$acc end kernels |
---|
| 763 | !$acc end data |
---|
[1106] | 764 | |
---|
| 765 | ELSE |
---|
| 766 | |
---|
[1111] | 767 | !$acc data present( ar ) |
---|
| 768 | !$acc kernels |
---|
[1106] | 769 | DO k = nzb_x, nzt_x |
---|
| 770 | DO j = nys_x, nyn_x |
---|
| 771 | |
---|
[1392] | 772 | ar_tmp(0,j,k) = CMPLX( ar(0,j,k), 0.0_wp, KIND=wp ) |
---|
[1106] | 773 | |
---|
| 774 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 775 | ar_tmp(i,j,k) = CMPLX( ar(i,j,k), ar(nx+1-i,j,k), & |
---|
| 776 | KIND=wp ) |
---|
[1106] | 777 | ENDDO |
---|
[1392] | 778 | ar_tmp((nx+1)/2,j,k) = CMPLX( ar((nx+1)/2,j,k), 0.0_wp, & |
---|
| 779 | KIND=wp ) |
---|
[1106] | 780 | |
---|
| 781 | ENDDO |
---|
| 782 | ENDDO |
---|
[1111] | 783 | !$acc end kernels |
---|
[1106] | 784 | |
---|
[1111] | 785 | CALL CUFFTEXECZ2D( plan_xi, ar_tmp, ar ) |
---|
| 786 | !$acc end data |
---|
[1106] | 787 | |
---|
| 788 | ENDIF |
---|
[1482] | 789 | !$acc end data |
---|
[1106] | 790 | |
---|
| 791 | #else |
---|
| 792 | message_string = 'no system-specific fft-call available' |
---|
| 793 | CALL message( 'fft_x', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
| 794 | #endif |
---|
| 795 | |
---|
| 796 | ELSE |
---|
| 797 | |
---|
| 798 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
| 799 | '" not available' |
---|
| 800 | CALL message( 'fft_x', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
| 801 | |
---|
| 802 | ENDIF |
---|
| 803 | |
---|
| 804 | END SUBROUTINE fft_x |
---|
| 805 | |
---|
[1682] | 806 | !------------------------------------------------------------------------------! |
---|
| 807 | ! Description: |
---|
| 808 | ! ------------ |
---|
| 809 | !> Fourier-transformation along x-direction. |
---|
| 810 | !> Version for 1D-decomposition. |
---|
| 811 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
| 812 | !> system-specific routines, if they are available |
---|
| 813 | !------------------------------------------------------------------------------! |
---|
| 814 | |
---|
[1106] | 815 | SUBROUTINE fft_x_1d( ar, direction ) |
---|
| 816 | |
---|
| 817 | |
---|
| 818 | IMPLICIT NONE |
---|
| 819 | |
---|
[1682] | 820 | CHARACTER (LEN=*) :: direction !< |
---|
[1320] | 821 | |
---|
[1682] | 822 | INTEGER(iwp) :: i !< |
---|
| 823 | INTEGER(iwp) :: ishape(1) !< |
---|
[1] | 824 | |
---|
[1682] | 825 | LOGICAL :: forward_fft !< |
---|
[1106] | 826 | |
---|
[1682] | 827 | REAL(wp), DIMENSION(0:nx) :: ar !< |
---|
| 828 | REAL(wp), DIMENSION(0:nx+2) :: work !< |
---|
| 829 | REAL(wp), DIMENSION(nx+2) :: work1 !< |
---|
[1320] | 830 | |
---|
[1682] | 831 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
[1320] | 832 | |
---|
[1] | 833 | #if defined( __ibm ) |
---|
[1682] | 834 | REAL(wp), DIMENSION(nau2) :: aux2 !< |
---|
| 835 | REAL(wp), DIMENSION(nau2) :: aux4 !< |
---|
[1] | 836 | #elif defined( __nec ) |
---|
[1682] | 837 | REAL(wp), DIMENSION(6*(nx+1)) :: work2 !< |
---|
[1] | 838 | #endif |
---|
| 839 | |
---|
[1106] | 840 | IF ( direction == 'forward' ) THEN |
---|
| 841 | forward_fft = .TRUE. |
---|
| 842 | ELSE |
---|
| 843 | forward_fft = .FALSE. |
---|
| 844 | ENDIF |
---|
| 845 | |
---|
[1] | 846 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
| 847 | |
---|
| 848 | ! |
---|
| 849 | !-- Performing the fft with singleton's software works on every system, |
---|
| 850 | !-- since it is part of the model |
---|
| 851 | ALLOCATE( cwork(0:nx) ) |
---|
| 852 | |
---|
[1106] | 853 | IF ( forward_fft ) then |
---|
[1] | 854 | |
---|
| 855 | DO i = 0, nx |
---|
[1392] | 856 | cwork(i) = CMPLX( ar(i), KIND=wp ) |
---|
[1] | 857 | ENDDO |
---|
| 858 | ishape = SHAPE( cwork ) |
---|
| 859 | CALL FFTN( cwork, ishape ) |
---|
| 860 | DO i = 0, (nx+1)/2 |
---|
[1322] | 861 | ar(i) = REAL( cwork(i), KIND=wp ) |
---|
[1] | 862 | ENDDO |
---|
| 863 | DO i = 1, (nx+1)/2 - 1 |
---|
| 864 | ar(nx+1-i) = -AIMAG( cwork(i) ) |
---|
| 865 | ENDDO |
---|
| 866 | |
---|
| 867 | ELSE |
---|
| 868 | |
---|
[1392] | 869 | cwork(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
[1] | 870 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 871 | cwork(i) = CMPLX( ar(i), -ar(nx+1-i), KIND=wp ) |
---|
| 872 | cwork(nx+1-i) = CMPLX( ar(i), ar(nx+1-i), KIND=wp ) |
---|
[1] | 873 | ENDDO |
---|
[1392] | 874 | cwork((nx+1)/2) = CMPLX( ar((nx+1)/2), 0.0_wp, KIND=wp ) |
---|
[1] | 875 | |
---|
| 876 | ishape = SHAPE( cwork ) |
---|
| 877 | CALL FFTN( cwork, ishape, inv = .TRUE. ) |
---|
| 878 | |
---|
| 879 | DO i = 0, nx |
---|
[1322] | 880 | ar(i) = REAL( cwork(i), KIND=wp ) |
---|
[1] | 881 | ENDDO |
---|
| 882 | |
---|
| 883 | ENDIF |
---|
| 884 | |
---|
| 885 | DEALLOCATE( cwork ) |
---|
| 886 | |
---|
| 887 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 888 | |
---|
| 889 | ! |
---|
| 890 | !-- Performing the fft with Temperton's software works on every system, |
---|
| 891 | !-- since it is part of the model |
---|
[1106] | 892 | IF ( forward_fft ) THEN |
---|
[1] | 893 | |
---|
| 894 | work(0:nx) = ar |
---|
| 895 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, -1 ) |
---|
| 896 | |
---|
| 897 | DO i = 0, (nx+1)/2 |
---|
| 898 | ar(i) = work(2*i) |
---|
| 899 | ENDDO |
---|
| 900 | DO i = 1, (nx+1)/2 - 1 |
---|
| 901 | ar(nx+1-i) = work(2*i+1) |
---|
| 902 | ENDDO |
---|
| 903 | |
---|
| 904 | ELSE |
---|
| 905 | |
---|
| 906 | DO i = 0, (nx+1)/2 |
---|
| 907 | work(2*i) = ar(i) |
---|
| 908 | ENDDO |
---|
| 909 | DO i = 1, (nx+1)/2 - 1 |
---|
| 910 | work(2*i+1) = ar(nx+1-i) |
---|
| 911 | ENDDO |
---|
[1342] | 912 | work(1) = 0.0_wp |
---|
| 913 | work(nx+2) = 0.0_wp |
---|
[1] | 914 | |
---|
| 915 | CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, 1 ) |
---|
| 916 | ar = work(0:nx) |
---|
| 917 | |
---|
| 918 | ENDIF |
---|
| 919 | |
---|
[1216] | 920 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
| 921 | |
---|
| 922 | #if defined( __fftw ) |
---|
| 923 | IF ( forward_fft ) THEN |
---|
| 924 | |
---|
| 925 | x_in(0:nx) = ar(0:nx) |
---|
| 926 | CALL FFTW_EXECUTE_DFT_R2C( plan_xf, x_in, x_out ) |
---|
| 927 | |
---|
| 928 | DO i = 0, (nx+1)/2 |
---|
[1322] | 929 | ar(i) = REAL( x_out(i), KIND=wp ) / ( nx+1 ) |
---|
[1216] | 930 | ENDDO |
---|
| 931 | DO i = 1, (nx+1)/2 - 1 |
---|
| 932 | ar(nx+1-i) = AIMAG( x_out(i) ) / ( nx+1 ) |
---|
| 933 | ENDDO |
---|
| 934 | |
---|
| 935 | ELSE |
---|
| 936 | |
---|
[1392] | 937 | x_out(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
[1216] | 938 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 939 | x_out(i) = CMPLX( ar(i), ar(nx+1-i), KIND=wp ) |
---|
[1216] | 940 | ENDDO |
---|
[1392] | 941 | x_out((nx+1)/2) = CMPLX( ar((nx+1)/2), 0.0_wp, KIND=wp ) |
---|
[1216] | 942 | |
---|
| 943 | CALL FFTW_EXECUTE_DFT_C2R( plan_xi, x_out, x_in) |
---|
| 944 | ar(0:nx) = x_in(0:nx) |
---|
| 945 | |
---|
| 946 | ENDIF |
---|
| 947 | #endif |
---|
| 948 | |
---|
[1] | 949 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
| 950 | |
---|
[1815] | 951 | #if defined( __ibm ) |
---|
[1106] | 952 | IF ( forward_fft ) THEN |
---|
[1] | 953 | |
---|
[1320] | 954 | CALL DRCFT( 0, ar, 1, work, 1, nx+1, 1, 1, sqr_dnx, aux1, nau1, & |
---|
[1] | 955 | aux2, nau2 ) |
---|
| 956 | |
---|
| 957 | DO i = 0, (nx+1)/2 |
---|
| 958 | ar(i) = work(2*i) |
---|
| 959 | ENDDO |
---|
| 960 | DO i = 1, (nx+1)/2 - 1 |
---|
| 961 | ar(nx+1-i) = work(2*i+1) |
---|
| 962 | ENDDO |
---|
| 963 | |
---|
| 964 | ELSE |
---|
| 965 | |
---|
| 966 | DO i = 0, (nx+1)/2 |
---|
| 967 | work(2*i) = ar(i) |
---|
| 968 | ENDDO |
---|
| 969 | DO i = 1, (nx+1)/2 - 1 |
---|
| 970 | work(2*i+1) = ar(nx+1-i) |
---|
| 971 | ENDDO |
---|
[1342] | 972 | work(1) = 0.0_wp |
---|
| 973 | work(nx+2) = 0.0_wp |
---|
[1] | 974 | |
---|
[1106] | 975 | CALL DCRFT( 0, work, 1, work, 1, nx+1, 1, -1, sqr_dnx, aux3, nau1, & |
---|
[1] | 976 | aux4, nau2 ) |
---|
| 977 | |
---|
| 978 | DO i = 0, nx |
---|
| 979 | ar(i) = work(i) |
---|
| 980 | ENDDO |
---|
| 981 | |
---|
| 982 | ENDIF |
---|
| 983 | #elif defined( __nec ) |
---|
[1106] | 984 | IF ( forward_fft ) THEN |
---|
[1] | 985 | |
---|
| 986 | work(0:nx) = ar(0:nx) |
---|
| 987 | |
---|
[1106] | 988 | CALL DZFFT( 1, nx+1, sqr_dnx, work, work, trig_xf, work2, 0 ) |
---|
| 989 | |
---|
[1] | 990 | DO i = 0, (nx+1)/2 |
---|
| 991 | ar(i) = work(2*i) |
---|
| 992 | ENDDO |
---|
| 993 | DO i = 1, (nx+1)/2 - 1 |
---|
| 994 | ar(nx+1-i) = work(2*i+1) |
---|
| 995 | ENDDO |
---|
| 996 | |
---|
| 997 | ELSE |
---|
| 998 | |
---|
| 999 | DO i = 0, (nx+1)/2 |
---|
| 1000 | work(2*i) = ar(i) |
---|
| 1001 | ENDDO |
---|
| 1002 | DO i = 1, (nx+1)/2 - 1 |
---|
| 1003 | work(2*i+1) = ar(nx+1-i) |
---|
| 1004 | ENDDO |
---|
[1342] | 1005 | work(1) = 0.0_wp |
---|
| 1006 | work(nx+2) = 0.0_wp |
---|
[1] | 1007 | |
---|
[1106] | 1008 | CALL ZDFFT( -1, nx+1, sqr_dnx, work, work, trig_xb, work2, 0 ) |
---|
[1] | 1009 | |
---|
| 1010 | ar(0:nx) = work(0:nx) |
---|
| 1011 | |
---|
| 1012 | ENDIF |
---|
| 1013 | #else |
---|
[254] | 1014 | message_string = 'no system-specific fft-call available' |
---|
[1106] | 1015 | CALL message( 'fft_x_1d', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
[1] | 1016 | #endif |
---|
| 1017 | ELSE |
---|
[274] | 1018 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
| 1019 | '" not available' |
---|
[1106] | 1020 | CALL message( 'fft_x_1d', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
[1] | 1021 | |
---|
| 1022 | ENDIF |
---|
| 1023 | |
---|
[1106] | 1024 | END SUBROUTINE fft_x_1d |
---|
[1] | 1025 | |
---|
[1682] | 1026 | !------------------------------------------------------------------------------! |
---|
| 1027 | ! Description: |
---|
| 1028 | ! ------------ |
---|
| 1029 | !> Fourier-transformation along y-direction. |
---|
| 1030 | !> Version for 2D-decomposition. |
---|
| 1031 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
| 1032 | !> system-specific routines, if they are available. |
---|
| 1033 | !> |
---|
| 1034 | !> direction: 'forward' or 'backward' |
---|
| 1035 | !> ar, ar_tr: 3D data arrays |
---|
| 1036 | !> forward: ar: before ar_tr: after transformation |
---|
| 1037 | !> backward: ar_tr: before ar: after transfosition |
---|
| 1038 | !> |
---|
| 1039 | !> In case of non-overlapping transposition/transformation: |
---|
| 1040 | !> nxl_y_bound = nxl_y_l = nxl_y |
---|
| 1041 | !> nxr_y_bound = nxr_y_l = nxr_y |
---|
| 1042 | !> |
---|
| 1043 | !> In case of overlapping transposition/transformation |
---|
| 1044 | !> - nxl_y_bound and nxr_y_bound have the original values of |
---|
| 1045 | !> nxl_y, nxr_y. ar_tr is dimensioned using these values. |
---|
| 1046 | !> - nxl_y_l = nxr_y_r. ar is dimensioned with these values, so that |
---|
| 1047 | !> transformation is carried out for a 2D-plane only. |
---|
| 1048 | !------------------------------------------------------------------------------! |
---|
| 1049 | |
---|
[1216] | 1050 | SUBROUTINE fft_y( ar, direction, ar_tr, nxl_y_bound, nxr_y_bound, nxl_y_l, & |
---|
| 1051 | nxr_y_l ) |
---|
[1] | 1052 | |
---|
| 1053 | |
---|
[1106] | 1054 | USE cuda_fft_interfaces |
---|
[1153] | 1055 | #if defined( __cuda_fft ) |
---|
| 1056 | USE ISO_C_BINDING |
---|
| 1057 | #endif |
---|
[1106] | 1058 | |
---|
[1] | 1059 | IMPLICIT NONE |
---|
| 1060 | |
---|
[1682] | 1061 | CHARACTER (LEN=*) :: direction !< |
---|
[1320] | 1062 | |
---|
[1682] | 1063 | INTEGER(iwp) :: i !< |
---|
| 1064 | INTEGER(iwp) :: j !< |
---|
| 1065 | INTEGER(iwp) :: jshape(1) !< |
---|
| 1066 | INTEGER(iwp) :: k !< |
---|
| 1067 | INTEGER(iwp) :: nxl_y_bound !< |
---|
| 1068 | INTEGER(iwp) :: nxl_y_l !< |
---|
| 1069 | INTEGER(iwp) :: nxr_y_bound !< |
---|
| 1070 | INTEGER(iwp) :: nxr_y_l !< |
---|
[1106] | 1071 | |
---|
[1682] | 1072 | LOGICAL :: forward_fft !< |
---|
[1106] | 1073 | |
---|
[1682] | 1074 | REAL(wp), DIMENSION(0:ny+2) :: work !< |
---|
| 1075 | REAL(wp), DIMENSION(ny+2) :: work1 !< |
---|
[1320] | 1076 | |
---|
[1682] | 1077 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
[1320] | 1078 | |
---|
[1106] | 1079 | #if defined( __ibm ) |
---|
[1682] | 1080 | REAL(wp), DIMENSION(nau2) :: auy2 !< |
---|
| 1081 | REAL(wp), DIMENSION(nau2) :: auy4 !< |
---|
[1106] | 1082 | #elif defined( __nec ) |
---|
[1682] | 1083 | REAL(wp), DIMENSION(6*(ny+1)) :: work2 !< |
---|
[1106] | 1084 | #elif defined( __cuda_fft ) |
---|
[1374] | 1085 | COMPLEX(dp), DIMENSION(0:(ny+1)/2,nxl_y:nxr_y,nzb_y:nzt_y) :: & |
---|
[1682] | 1086 | ar_tmp !< |
---|
[1482] | 1087 | ! following does not work for PGI 14.1 -> to be removed later |
---|
[1749] | 1088 | ! !$acc declare create( ar_tmp ) |
---|
[1106] | 1089 | #endif |
---|
| 1090 | |
---|
[1320] | 1091 | REAL(wp), DIMENSION(0:ny,nxl_y_l:nxr_y_l,nzb_y:nzt_y) :: & |
---|
[1682] | 1092 | ar !< |
---|
[1320] | 1093 | REAL(wp), DIMENSION(0:ny,nxl_y_bound:nxr_y_bound,nzb_y:nzt_y) :: & |
---|
[1682] | 1094 | ar_tr !< |
---|
[1320] | 1095 | |
---|
[1106] | 1096 | IF ( direction == 'forward' ) THEN |
---|
| 1097 | forward_fft = .TRUE. |
---|
| 1098 | ELSE |
---|
| 1099 | forward_fft = .FALSE. |
---|
| 1100 | ENDIF |
---|
| 1101 | |
---|
| 1102 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
| 1103 | |
---|
| 1104 | ! |
---|
| 1105 | !-- Performing the fft with singleton's software works on every system, |
---|
| 1106 | !-- since it is part of the model |
---|
| 1107 | ALLOCATE( cwork(0:ny) ) |
---|
| 1108 | |
---|
| 1109 | IF ( forward_fft ) then |
---|
| 1110 | |
---|
| 1111 | !$OMP PARALLEL PRIVATE ( cwork, i, jshape, j, k ) |
---|
| 1112 | !$OMP DO |
---|
| 1113 | DO k = nzb_y, nzt_y |
---|
[1216] | 1114 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1115 | |
---|
| 1116 | DO j = 0, ny |
---|
[1392] | 1117 | cwork(j) = CMPLX( ar(j,i,k), KIND=wp ) |
---|
[1106] | 1118 | ENDDO |
---|
| 1119 | |
---|
| 1120 | jshape = SHAPE( cwork ) |
---|
| 1121 | CALL FFTN( cwork, jshape ) |
---|
| 1122 | |
---|
| 1123 | DO j = 0, (ny+1)/2 |
---|
[1322] | 1124 | ar_tr(j,i,k) = REAL( cwork(j), KIND=wp ) |
---|
[1106] | 1125 | ENDDO |
---|
| 1126 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1127 | ar_tr(ny+1-j,i,k) = -AIMAG( cwork(j) ) |
---|
[1106] | 1128 | ENDDO |
---|
| 1129 | |
---|
| 1130 | ENDDO |
---|
| 1131 | ENDDO |
---|
| 1132 | !$OMP END PARALLEL |
---|
| 1133 | |
---|
| 1134 | ELSE |
---|
| 1135 | |
---|
| 1136 | !$OMP PARALLEL PRIVATE ( cwork, i, jshape, j, k ) |
---|
| 1137 | !$OMP DO |
---|
| 1138 | DO k = nzb_y, nzt_y |
---|
[1216] | 1139 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1140 | |
---|
[1392] | 1141 | cwork(0) = CMPLX( ar_tr(0,i,k), 0.0_wp, KIND=wp ) |
---|
[1106] | 1142 | DO j = 1, (ny+1)/2 - 1 |
---|
[1392] | 1143 | cwork(j) = CMPLX( ar_tr(j,i,k), -ar_tr(ny+1-j,i,k), & |
---|
| 1144 | KIND=wp ) |
---|
| 1145 | cwork(ny+1-j) = CMPLX( ar_tr(j,i,k), ar_tr(ny+1-j,i,k), & |
---|
| 1146 | KIND=wp ) |
---|
[1106] | 1147 | ENDDO |
---|
[1392] | 1148 | cwork((ny+1)/2) = CMPLX( ar_tr((ny+1)/2,i,k), 0.0_wp, & |
---|
| 1149 | KIND=wp ) |
---|
[1106] | 1150 | |
---|
| 1151 | jshape = SHAPE( cwork ) |
---|
| 1152 | CALL FFTN( cwork, jshape, inv = .TRUE. ) |
---|
| 1153 | |
---|
| 1154 | DO j = 0, ny |
---|
[1322] | 1155 | ar(j,i,k) = REAL( cwork(j), KIND=wp ) |
---|
[1106] | 1156 | ENDDO |
---|
| 1157 | |
---|
| 1158 | ENDDO |
---|
| 1159 | ENDDO |
---|
| 1160 | !$OMP END PARALLEL |
---|
| 1161 | |
---|
| 1162 | ENDIF |
---|
| 1163 | |
---|
| 1164 | DEALLOCATE( cwork ) |
---|
| 1165 | |
---|
| 1166 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 1167 | |
---|
| 1168 | ! |
---|
| 1169 | !-- Performing the fft with Temperton's software works on every system, |
---|
| 1170 | !-- since it is part of the model |
---|
| 1171 | IF ( forward_fft ) THEN |
---|
| 1172 | |
---|
[1304] | 1173 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
[1106] | 1174 | !$OMP DO |
---|
| 1175 | DO k = nzb_y, nzt_y |
---|
[1216] | 1176 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1177 | |
---|
| 1178 | work(0:ny) = ar(0:ny,i,k) |
---|
| 1179 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, -1 ) |
---|
| 1180 | |
---|
| 1181 | DO j = 0, (ny+1)/2 |
---|
[1216] | 1182 | ar_tr(j,i,k) = work(2*j) |
---|
[1106] | 1183 | ENDDO |
---|
| 1184 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1185 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
[1106] | 1186 | ENDDO |
---|
| 1187 | |
---|
| 1188 | ENDDO |
---|
| 1189 | ENDDO |
---|
| 1190 | !$OMP END PARALLEL |
---|
| 1191 | |
---|
| 1192 | ELSE |
---|
| 1193 | |
---|
[1304] | 1194 | !$OMP PARALLEL PRIVATE ( work, work1, i, j, k ) |
---|
[1106] | 1195 | !$OMP DO |
---|
| 1196 | DO k = nzb_y, nzt_y |
---|
[1216] | 1197 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1198 | |
---|
| 1199 | DO j = 0, (ny+1)/2 |
---|
[1216] | 1200 | work(2*j) = ar_tr(j,i,k) |
---|
[1106] | 1201 | ENDDO |
---|
| 1202 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1203 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
[1106] | 1204 | ENDDO |
---|
[1342] | 1205 | work(1) = 0.0_wp |
---|
| 1206 | work(ny+2) = 0.0_wp |
---|
[1106] | 1207 | |
---|
| 1208 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, 1 ) |
---|
| 1209 | ar(0:ny,i,k) = work(0:ny) |
---|
| 1210 | |
---|
| 1211 | ENDDO |
---|
| 1212 | ENDDO |
---|
| 1213 | !$OMP END PARALLEL |
---|
| 1214 | |
---|
| 1215 | ENDIF |
---|
| 1216 | |
---|
[1210] | 1217 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
| 1218 | |
---|
| 1219 | #if defined( __fftw ) |
---|
| 1220 | IF ( forward_fft ) THEN |
---|
| 1221 | |
---|
| 1222 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 1223 | !$OMP DO |
---|
| 1224 | DO k = nzb_y, nzt_y |
---|
[1216] | 1225 | DO i = nxl_y_l, nxr_y_l |
---|
[1210] | 1226 | |
---|
| 1227 | y_in(0:ny) = ar(0:ny,i,k) |
---|
| 1228 | CALL FFTW_EXECUTE_DFT_R2C( plan_yf, y_in, y_out ) |
---|
| 1229 | |
---|
| 1230 | DO j = 0, (ny+1)/2 |
---|
[1322] | 1231 | ar_tr(j,i,k) = REAL( y_out(j), KIND=wp ) / (ny+1) |
---|
[1210] | 1232 | ENDDO |
---|
| 1233 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1234 | ar_tr(ny+1-j,i,k) = AIMAG( y_out(j) ) / (ny+1) |
---|
[1210] | 1235 | ENDDO |
---|
| 1236 | |
---|
| 1237 | ENDDO |
---|
| 1238 | ENDDO |
---|
| 1239 | !$OMP END PARALLEL |
---|
| 1240 | |
---|
| 1241 | ELSE |
---|
| 1242 | |
---|
| 1243 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 1244 | !$OMP DO |
---|
| 1245 | DO k = nzb_y, nzt_y |
---|
[1216] | 1246 | DO i = nxl_y_l, nxr_y_l |
---|
[1210] | 1247 | |
---|
[1392] | 1248 | y_out(0) = CMPLX( ar_tr(0,i,k), 0.0_wp, KIND=wp ) |
---|
[1210] | 1249 | DO j = 1, (ny+1)/2 - 1 |
---|
[1398] | 1250 | y_out(j) = CMPLX( ar_tr(j,i,k), ar_tr(ny+1-j,i,k), & |
---|
| 1251 | KIND=wp ) |
---|
[1210] | 1252 | ENDDO |
---|
[1392] | 1253 | y_out((ny+1)/2) = CMPLX( ar_tr((ny+1)/2,i,k), 0.0_wp, & |
---|
| 1254 | KIND=wp ) |
---|
[1210] | 1255 | |
---|
| 1256 | CALL FFTW_EXECUTE_DFT_C2R( plan_yi, y_out, y_in ) |
---|
| 1257 | ar(0:ny,i,k) = y_in(0:ny) |
---|
| 1258 | |
---|
| 1259 | ENDDO |
---|
| 1260 | ENDDO |
---|
| 1261 | !$OMP END PARALLEL |
---|
| 1262 | |
---|
| 1263 | ENDIF |
---|
| 1264 | #endif |
---|
| 1265 | |
---|
[1106] | 1266 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
| 1267 | |
---|
[1815] | 1268 | #if defined( __ibm ) |
---|
[1106] | 1269 | IF ( forward_fft) THEN |
---|
| 1270 | |
---|
| 1271 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 1272 | !$OMP DO |
---|
| 1273 | DO k = nzb_y, nzt_y |
---|
[1216] | 1274 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1275 | |
---|
[1320] | 1276 | CALL DRCFT( 0, ar, 1, work, 1, ny+1, 1, 1, sqr_dny, auy1, & |
---|
| 1277 | nau1, auy2, nau2 ) |
---|
[1106] | 1278 | |
---|
| 1279 | DO j = 0, (ny+1)/2 |
---|
[1216] | 1280 | ar_tr(j,i,k) = work(2*j) |
---|
[1106] | 1281 | ENDDO |
---|
| 1282 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1283 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
[1106] | 1284 | ENDDO |
---|
| 1285 | |
---|
| 1286 | ENDDO |
---|
| 1287 | ENDDO |
---|
| 1288 | !$OMP END PARALLEL |
---|
| 1289 | |
---|
| 1290 | ELSE |
---|
| 1291 | |
---|
| 1292 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 1293 | !$OMP DO |
---|
| 1294 | DO k = nzb_y, nzt_y |
---|
[1216] | 1295 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1296 | |
---|
| 1297 | DO j = 0, (ny+1)/2 |
---|
[1216] | 1298 | work(2*j) = ar_tr(j,i,k) |
---|
[1106] | 1299 | ENDDO |
---|
| 1300 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1301 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
[1106] | 1302 | ENDDO |
---|
[1342] | 1303 | work(1) = 0.0_wp |
---|
| 1304 | work(ny+2) = 0.0_wp |
---|
[1106] | 1305 | |
---|
[1320] | 1306 | CALL DCRFT( 0, work, 1, work, 1, ny+1, 1, -1, sqr_dny, & |
---|
| 1307 | auy3, nau1, auy4, nau2 ) |
---|
[1106] | 1308 | |
---|
| 1309 | DO j = 0, ny |
---|
| 1310 | ar(j,i,k) = work(j) |
---|
| 1311 | ENDDO |
---|
| 1312 | |
---|
| 1313 | ENDDO |
---|
| 1314 | ENDDO |
---|
| 1315 | !$OMP END PARALLEL |
---|
| 1316 | |
---|
| 1317 | ENDIF |
---|
| 1318 | #elif defined( __nec ) |
---|
| 1319 | IF ( forward_fft ) THEN |
---|
| 1320 | |
---|
| 1321 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 1322 | !$OMP DO |
---|
| 1323 | DO k = nzb_y, nzt_y |
---|
[1216] | 1324 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1325 | |
---|
| 1326 | work(0:ny) = ar(0:ny,i,k) |
---|
| 1327 | |
---|
| 1328 | CALL DZFFT( 1, ny+1, sqr_dny, work, work, trig_yf, work2, 0 ) |
---|
| 1329 | |
---|
| 1330 | DO j = 0, (ny+1)/2 |
---|
[1216] | 1331 | ar_tr(j,i,k) = work(2*j) |
---|
[1106] | 1332 | ENDDO |
---|
| 1333 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1334 | ar_tr(ny+1-j,i,k) = work(2*j+1) |
---|
[1106] | 1335 | ENDDO |
---|
| 1336 | |
---|
| 1337 | ENDDO |
---|
| 1338 | ENDDO |
---|
| 1339 | !$END OMP PARALLEL |
---|
| 1340 | |
---|
| 1341 | ELSE |
---|
| 1342 | |
---|
| 1343 | !$OMP PARALLEL PRIVATE ( work, i, j, k ) |
---|
| 1344 | !$OMP DO |
---|
| 1345 | DO k = nzb_y, nzt_y |
---|
[1216] | 1346 | DO i = nxl_y_l, nxr_y_l |
---|
[1106] | 1347 | |
---|
| 1348 | DO j = 0, (ny+1)/2 |
---|
[1216] | 1349 | work(2*j) = ar_tr(j,i,k) |
---|
[1106] | 1350 | ENDDO |
---|
| 1351 | DO j = 1, (ny+1)/2 - 1 |
---|
[1216] | 1352 | work(2*j+1) = ar_tr(ny+1-j,i,k) |
---|
[1106] | 1353 | ENDDO |
---|
[1342] | 1354 | work(1) = 0.0_wp |
---|
| 1355 | work(ny+2) = 0.0_wp |
---|
[1106] | 1356 | |
---|
| 1357 | CALL ZDFFT( -1, ny+1, sqr_dny, work, work, trig_yb, work2, 0 ) |
---|
| 1358 | |
---|
| 1359 | ar(0:ny,i,k) = work(0:ny) |
---|
| 1360 | |
---|
| 1361 | ENDDO |
---|
| 1362 | ENDDO |
---|
| 1363 | !$OMP END PARALLEL |
---|
| 1364 | |
---|
| 1365 | ENDIF |
---|
| 1366 | #elif defined( __cuda_fft ) |
---|
| 1367 | |
---|
[1482] | 1368 | !$acc data create( ar_tmp ) |
---|
[1106] | 1369 | IF ( forward_fft ) THEN |
---|
| 1370 | |
---|
[1111] | 1371 | !$acc data present( ar ) |
---|
| 1372 | CALL CUFFTEXECD2Z( plan_yf, ar, ar_tmp ) |
---|
[1106] | 1373 | |
---|
[1111] | 1374 | !$acc kernels |
---|
[1106] | 1375 | DO k = nzb_y, nzt_y |
---|
| 1376 | DO i = nxl_y, nxr_y |
---|
| 1377 | |
---|
| 1378 | DO j = 0, (ny+1)/2 |
---|
[1322] | 1379 | ar(j,i,k) = REAL( ar_tmp(j,i,k), KIND=wp ) * dny |
---|
[1106] | 1380 | ENDDO |
---|
| 1381 | |
---|
| 1382 | DO j = 1, (ny+1)/2 - 1 |
---|
[1111] | 1383 | ar(ny+1-j,i,k) = AIMAG( ar_tmp(j,i,k) ) * dny |
---|
[1106] | 1384 | ENDDO |
---|
| 1385 | |
---|
| 1386 | ENDDO |
---|
| 1387 | ENDDO |
---|
[1111] | 1388 | !$acc end kernels |
---|
| 1389 | !$acc end data |
---|
[1106] | 1390 | |
---|
| 1391 | ELSE |
---|
| 1392 | |
---|
[1111] | 1393 | !$acc data present( ar ) |
---|
| 1394 | !$acc kernels |
---|
[1106] | 1395 | DO k = nzb_y, nzt_y |
---|
| 1396 | DO i = nxl_y, nxr_y |
---|
| 1397 | |
---|
[1392] | 1398 | ar_tmp(0,i,k) = CMPLX( ar(0,i,k), 0.0_wp, KIND=wp ) |
---|
[1106] | 1399 | |
---|
| 1400 | DO j = 1, (ny+1)/2 - 1 |
---|
[1392] | 1401 | ar_tmp(j,i,k) = CMPLX( ar(j,i,k), ar(ny+1-j,i,k), & |
---|
| 1402 | KIND=wp ) |
---|
[1106] | 1403 | ENDDO |
---|
[1392] | 1404 | ar_tmp((ny+1)/2,i,k) = CMPLX( ar((ny+1)/2,i,k), 0.0_wp, & |
---|
| 1405 | KIND=wp ) |
---|
[1106] | 1406 | |
---|
| 1407 | ENDDO |
---|
| 1408 | ENDDO |
---|
[1111] | 1409 | !$acc end kernels |
---|
[1106] | 1410 | |
---|
[1111] | 1411 | CALL CUFFTEXECZ2D( plan_yi, ar_tmp, ar ) |
---|
| 1412 | !$acc end data |
---|
[1106] | 1413 | |
---|
| 1414 | ENDIF |
---|
[1482] | 1415 | !$acc end data |
---|
[1106] | 1416 | |
---|
| 1417 | #else |
---|
| 1418 | message_string = 'no system-specific fft-call available' |
---|
| 1419 | CALL message( 'fft_y', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
| 1420 | #endif |
---|
| 1421 | |
---|
| 1422 | ELSE |
---|
| 1423 | |
---|
| 1424 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
| 1425 | '" not available' |
---|
| 1426 | CALL message( 'fft_y', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
| 1427 | |
---|
| 1428 | ENDIF |
---|
| 1429 | |
---|
| 1430 | END SUBROUTINE fft_y |
---|
| 1431 | |
---|
[1682] | 1432 | !------------------------------------------------------------------------------! |
---|
| 1433 | ! Description: |
---|
| 1434 | ! ------------ |
---|
| 1435 | !> Fourier-transformation along y-direction. |
---|
| 1436 | !> Version for 1D-decomposition. |
---|
| 1437 | !> It uses internal algorithms (Singleton or Temperton) or |
---|
| 1438 | !> system-specific routines, if they are available. |
---|
| 1439 | !------------------------------------------------------------------------------! |
---|
| 1440 | |
---|
[1106] | 1441 | SUBROUTINE fft_y_1d( ar, direction ) |
---|
| 1442 | |
---|
| 1443 | |
---|
| 1444 | IMPLICIT NONE |
---|
| 1445 | |
---|
| 1446 | CHARACTER (LEN=*) :: direction |
---|
[1320] | 1447 | |
---|
[1682] | 1448 | INTEGER(iwp) :: j !< |
---|
| 1449 | INTEGER(iwp) :: jshape(1) !< |
---|
[1] | 1450 | |
---|
[1682] | 1451 | LOGICAL :: forward_fft !< |
---|
[1106] | 1452 | |
---|
[1682] | 1453 | REAL(wp), DIMENSION(0:ny) :: ar !< |
---|
| 1454 | REAL(wp), DIMENSION(0:ny+2) :: work !< |
---|
| 1455 | REAL(wp), DIMENSION(ny+2) :: work1 !< |
---|
[1320] | 1456 | |
---|
[1682] | 1457 | COMPLEX(wp), DIMENSION(:), ALLOCATABLE :: cwork !< |
---|
[1320] | 1458 | |
---|
[1] | 1459 | #if defined( __ibm ) |
---|
[1682] | 1460 | REAL(wp), DIMENSION(nau2) :: auy2 !< |
---|
| 1461 | REAL(wp), DIMENSION(nau2) :: auy4 !< |
---|
[1] | 1462 | #elif defined( __nec ) |
---|
[1682] | 1463 | REAL(wp), DIMENSION(6*(ny+1)) :: work2 !< |
---|
[1] | 1464 | #endif |
---|
| 1465 | |
---|
[1106] | 1466 | IF ( direction == 'forward' ) THEN |
---|
| 1467 | forward_fft = .TRUE. |
---|
| 1468 | ELSE |
---|
| 1469 | forward_fft = .FALSE. |
---|
| 1470 | ENDIF |
---|
| 1471 | |
---|
[1] | 1472 | IF ( fft_method == 'singleton-algorithm' ) THEN |
---|
| 1473 | |
---|
| 1474 | ! |
---|
| 1475 | !-- Performing the fft with singleton's software works on every system, |
---|
| 1476 | !-- since it is part of the model |
---|
| 1477 | ALLOCATE( cwork(0:ny) ) |
---|
| 1478 | |
---|
[1106] | 1479 | IF ( forward_fft ) THEN |
---|
[1] | 1480 | |
---|
| 1481 | DO j = 0, ny |
---|
[1392] | 1482 | cwork(j) = CMPLX( ar(j), KIND=wp ) |
---|
[1] | 1483 | ENDDO |
---|
| 1484 | |
---|
| 1485 | jshape = SHAPE( cwork ) |
---|
| 1486 | CALL FFTN( cwork, jshape ) |
---|
| 1487 | |
---|
| 1488 | DO j = 0, (ny+1)/2 |
---|
[1322] | 1489 | ar(j) = REAL( cwork(j), KIND=wp ) |
---|
[1] | 1490 | ENDDO |
---|
| 1491 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1492 | ar(ny+1-j) = -AIMAG( cwork(j) ) |
---|
| 1493 | ENDDO |
---|
| 1494 | |
---|
| 1495 | ELSE |
---|
| 1496 | |
---|
[1392] | 1497 | cwork(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
[1] | 1498 | DO j = 1, (ny+1)/2 - 1 |
---|
[1392] | 1499 | cwork(j) = CMPLX( ar(j), -ar(ny+1-j), KIND=wp ) |
---|
| 1500 | cwork(ny+1-j) = CMPLX( ar(j), ar(ny+1-j), KIND=wp ) |
---|
[1] | 1501 | ENDDO |
---|
[1392] | 1502 | cwork((ny+1)/2) = CMPLX( ar((ny+1)/2), 0.0_wp, KIND=wp ) |
---|
[1] | 1503 | |
---|
| 1504 | jshape = SHAPE( cwork ) |
---|
| 1505 | CALL FFTN( cwork, jshape, inv = .TRUE. ) |
---|
| 1506 | |
---|
| 1507 | DO j = 0, ny |
---|
[1322] | 1508 | ar(j) = REAL( cwork(j), KIND=wp ) |
---|
[1] | 1509 | ENDDO |
---|
| 1510 | |
---|
| 1511 | ENDIF |
---|
| 1512 | |
---|
| 1513 | DEALLOCATE( cwork ) |
---|
| 1514 | |
---|
| 1515 | ELSEIF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 1516 | |
---|
| 1517 | ! |
---|
| 1518 | !-- Performing the fft with Temperton's software works on every system, |
---|
| 1519 | !-- since it is part of the model |
---|
[1106] | 1520 | IF ( forward_fft ) THEN |
---|
[1] | 1521 | |
---|
| 1522 | work(0:ny) = ar |
---|
| 1523 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, -1 ) |
---|
| 1524 | |
---|
| 1525 | DO j = 0, (ny+1)/2 |
---|
| 1526 | ar(j) = work(2*j) |
---|
| 1527 | ENDDO |
---|
| 1528 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1529 | ar(ny+1-j) = work(2*j+1) |
---|
| 1530 | ENDDO |
---|
| 1531 | |
---|
| 1532 | ELSE |
---|
| 1533 | |
---|
| 1534 | DO j = 0, (ny+1)/2 |
---|
| 1535 | work(2*j) = ar(j) |
---|
| 1536 | ENDDO |
---|
| 1537 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1538 | work(2*j+1) = ar(ny+1-j) |
---|
| 1539 | ENDDO |
---|
[1342] | 1540 | work(1) = 0.0_wp |
---|
| 1541 | work(ny+2) = 0.0_wp |
---|
[1] | 1542 | |
---|
| 1543 | CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, 1 ) |
---|
| 1544 | ar = work(0:ny) |
---|
| 1545 | |
---|
| 1546 | ENDIF |
---|
| 1547 | |
---|
[1216] | 1548 | ELSEIF ( fft_method == 'fftw' ) THEN |
---|
| 1549 | |
---|
| 1550 | #if defined( __fftw ) |
---|
| 1551 | IF ( forward_fft ) THEN |
---|
| 1552 | |
---|
| 1553 | y_in(0:ny) = ar(0:ny) |
---|
| 1554 | CALL FFTW_EXECUTE_DFT_R2C( plan_yf, y_in, y_out ) |
---|
| 1555 | |
---|
| 1556 | DO j = 0, (ny+1)/2 |
---|
[1322] | 1557 | ar(j) = REAL( y_out(j), KIND=wp ) / (ny+1) |
---|
[1216] | 1558 | ENDDO |
---|
| 1559 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1560 | ar(ny+1-j) = AIMAG( y_out(j) ) / (ny+1) |
---|
| 1561 | ENDDO |
---|
| 1562 | |
---|
| 1563 | ELSE |
---|
| 1564 | |
---|
[1392] | 1565 | y_out(0) = CMPLX( ar(0), 0.0_wp, KIND=wp ) |
---|
[1216] | 1566 | DO j = 1, (ny+1)/2 - 1 |
---|
[1392] | 1567 | y_out(j) = CMPLX( ar(j), ar(ny+1-j), KIND=wp ) |
---|
[1216] | 1568 | ENDDO |
---|
[1392] | 1569 | y_out((ny+1)/2) = CMPLX( ar((ny+1)/2), 0.0_wp, KIND=wp ) |
---|
[1216] | 1570 | |
---|
| 1571 | CALL FFTW_EXECUTE_DFT_C2R( plan_yi, y_out, y_in ) |
---|
| 1572 | ar(0:ny) = y_in(0:ny) |
---|
| 1573 | |
---|
| 1574 | ENDIF |
---|
| 1575 | #endif |
---|
| 1576 | |
---|
[1] | 1577 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
| 1578 | |
---|
[1815] | 1579 | #if defined( __ibm ) |
---|
[1106] | 1580 | IF ( forward_fft ) THEN |
---|
[1] | 1581 | |
---|
[1320] | 1582 | CALL DRCFT( 0, ar, 1, work, 1, ny+1, 1, 1, sqr_dny, auy1, nau1, & |
---|
[1] | 1583 | auy2, nau2 ) |
---|
| 1584 | |
---|
| 1585 | DO j = 0, (ny+1)/2 |
---|
| 1586 | ar(j) = work(2*j) |
---|
| 1587 | ENDDO |
---|
| 1588 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1589 | ar(ny+1-j) = work(2*j+1) |
---|
| 1590 | ENDDO |
---|
| 1591 | |
---|
| 1592 | ELSE |
---|
| 1593 | |
---|
| 1594 | DO j = 0, (ny+1)/2 |
---|
| 1595 | work(2*j) = ar(j) |
---|
| 1596 | ENDDO |
---|
| 1597 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1598 | work(2*j+1) = ar(ny+1-j) |
---|
| 1599 | ENDDO |
---|
[1342] | 1600 | work(1) = 0.0_wp |
---|
| 1601 | work(ny+2) = 0.0_wp |
---|
[1] | 1602 | |
---|
[1320] | 1603 | CALL DCRFT( 0, work, 1, work, 1, ny+1, 1, -1, sqr_dny, auy3, & |
---|
| 1604 | nau1, auy4, nau2 ) |
---|
[1] | 1605 | |
---|
| 1606 | DO j = 0, ny |
---|
| 1607 | ar(j) = work(j) |
---|
| 1608 | ENDDO |
---|
| 1609 | |
---|
| 1610 | ENDIF |
---|
| 1611 | #elif defined( __nec ) |
---|
[1106] | 1612 | IF ( forward_fft ) THEN |
---|
[1] | 1613 | |
---|
| 1614 | work(0:ny) = ar(0:ny) |
---|
| 1615 | |
---|
[1106] | 1616 | CALL DZFFT( 1, ny+1, sqr_dny, work, work, trig_yf, work2, 0 ) |
---|
[1] | 1617 | |
---|
| 1618 | DO j = 0, (ny+1)/2 |
---|
| 1619 | ar(j) = work(2*j) |
---|
| 1620 | ENDDO |
---|
| 1621 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1622 | ar(ny+1-j) = work(2*j+1) |
---|
| 1623 | ENDDO |
---|
| 1624 | |
---|
| 1625 | ELSE |
---|
| 1626 | |
---|
| 1627 | DO j = 0, (ny+1)/2 |
---|
| 1628 | work(2*j) = ar(j) |
---|
| 1629 | ENDDO |
---|
| 1630 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1631 | work(2*j+1) = ar(ny+1-j) |
---|
| 1632 | ENDDO |
---|
[1342] | 1633 | work(1) = 0.0_wp |
---|
| 1634 | work(ny+2) = 0.0_wp |
---|
[1] | 1635 | |
---|
[1106] | 1636 | CALL ZDFFT( -1, ny+1, sqr_dny, work, work, trig_yb, work2, 0 ) |
---|
[1] | 1637 | |
---|
| 1638 | ar(0:ny) = work(0:ny) |
---|
| 1639 | |
---|
| 1640 | ENDIF |
---|
| 1641 | #else |
---|
[254] | 1642 | message_string = 'no system-specific fft-call available' |
---|
[1106] | 1643 | CALL message( 'fft_y_1d', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
[254] | 1644 | |
---|
[1] | 1645 | #endif |
---|
| 1646 | |
---|
| 1647 | ELSE |
---|
| 1648 | |
---|
[274] | 1649 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
| 1650 | '" not available' |
---|
[1106] | 1651 | CALL message( 'fft_y_1d', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
[1] | 1652 | |
---|
| 1653 | ENDIF |
---|
| 1654 | |
---|
[1106] | 1655 | END SUBROUTINE fft_y_1d |
---|
[1] | 1656 | |
---|
[1682] | 1657 | !------------------------------------------------------------------------------! |
---|
| 1658 | ! Description: |
---|
| 1659 | ! ------------ |
---|
| 1660 | !> Fourier-transformation along x-direction. |
---|
| 1661 | !> Version for 1d domain decomposition |
---|
| 1662 | !> using multiple 1D FFT from Math Keisan on NEC or Temperton-algorithm |
---|
| 1663 | !> (no singleton-algorithm on NEC because it does not vectorize) |
---|
| 1664 | !------------------------------------------------------------------------------! |
---|
| 1665 | |
---|
[1] | 1666 | SUBROUTINE fft_x_m( ar, direction ) |
---|
| 1667 | |
---|
| 1668 | |
---|
| 1669 | IMPLICIT NONE |
---|
| 1670 | |
---|
[1682] | 1671 | CHARACTER (LEN=*) :: direction !< |
---|
[1320] | 1672 | |
---|
[1682] | 1673 | INTEGER(iwp) :: i !< |
---|
| 1674 | INTEGER(iwp) :: k !< |
---|
| 1675 | INTEGER(iwp) :: siza !< |
---|
[1] | 1676 | |
---|
[1682] | 1677 | REAL(wp), DIMENSION(0:nx,nz) :: ar !< |
---|
| 1678 | REAL(wp), DIMENSION(0:nx+3,nz+1) :: ai !< |
---|
| 1679 | REAL(wp), DIMENSION(6*(nx+4),nz+1) :: work1 !< |
---|
[1320] | 1680 | |
---|
[1] | 1681 | #if defined( __nec ) |
---|
[1682] | 1682 | INTEGER(iwp) :: sizw !< |
---|
[1320] | 1683 | |
---|
[1682] | 1684 | COMPLEX(wp), DIMENSION((nx+4)/2+1,nz+1) :: work !< |
---|
[1] | 1685 | #endif |
---|
| 1686 | |
---|
| 1687 | IF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 1688 | |
---|
| 1689 | siza = SIZE( ai, 1 ) |
---|
| 1690 | |
---|
| 1691 | IF ( direction == 'forward') THEN |
---|
| 1692 | |
---|
| 1693 | ai(0:nx,1:nz) = ar(0:nx,1:nz) |
---|
[1342] | 1694 | ai(nx+1:,:) = 0.0_wp |
---|
[1] | 1695 | |
---|
| 1696 | CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, -1 ) |
---|
| 1697 | |
---|
| 1698 | DO k = 1, nz |
---|
| 1699 | DO i = 0, (nx+1)/2 |
---|
| 1700 | ar(i,k) = ai(2*i,k) |
---|
| 1701 | ENDDO |
---|
| 1702 | DO i = 1, (nx+1)/2 - 1 |
---|
| 1703 | ar(nx+1-i,k) = ai(2*i+1,k) |
---|
| 1704 | ENDDO |
---|
| 1705 | ENDDO |
---|
| 1706 | |
---|
| 1707 | ELSE |
---|
| 1708 | |
---|
| 1709 | DO k = 1, nz |
---|
| 1710 | DO i = 0, (nx+1)/2 |
---|
| 1711 | ai(2*i,k) = ar(i,k) |
---|
| 1712 | ENDDO |
---|
| 1713 | DO i = 1, (nx+1)/2 - 1 |
---|
| 1714 | ai(2*i+1,k) = ar(nx+1-i,k) |
---|
| 1715 | ENDDO |
---|
[1342] | 1716 | ai(1,k) = 0.0_wp |
---|
| 1717 | ai(nx+2,k) = 0.0_wp |
---|
[1] | 1718 | ENDDO |
---|
| 1719 | |
---|
| 1720 | CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, 1 ) |
---|
| 1721 | |
---|
| 1722 | ar(0:nx,1:nz) = ai(0:nx,1:nz) |
---|
| 1723 | |
---|
| 1724 | ENDIF |
---|
| 1725 | |
---|
| 1726 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
| 1727 | |
---|
| 1728 | #if defined( __nec ) |
---|
| 1729 | siza = SIZE( ai, 1 ) |
---|
| 1730 | sizw = SIZE( work, 1 ) |
---|
| 1731 | |
---|
| 1732 | IF ( direction == 'forward') THEN |
---|
| 1733 | |
---|
| 1734 | ! |
---|
| 1735 | !-- Tables are initialized once more. This call should not be |
---|
| 1736 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
[1320] | 1737 | CALL DZFFTM( 0, nx+1, nz1, sqr_dnx, work, nx+4, work, nx+4, & |
---|
[1] | 1738 | trig_xf, work1, 0 ) |
---|
| 1739 | |
---|
| 1740 | ai(0:nx,1:nz) = ar(0:nx,1:nz) |
---|
| 1741 | IF ( nz1 > nz ) THEN |
---|
[1342] | 1742 | ai(:,nz1) = 0.0_wp |
---|
[1] | 1743 | ENDIF |
---|
| 1744 | |
---|
[1320] | 1745 | CALL DZFFTM( 1, nx+1, nz1, sqr_dnx, ai, siza, work, sizw, & |
---|
[1] | 1746 | trig_xf, work1, 0 ) |
---|
| 1747 | |
---|
| 1748 | DO k = 1, nz |
---|
| 1749 | DO i = 0, (nx+1)/2 |
---|
[1322] | 1750 | ar(i,k) = REAL( work(i+1,k), KIND=wp ) |
---|
[1] | 1751 | ENDDO |
---|
| 1752 | DO i = 1, (nx+1)/2 - 1 |
---|
| 1753 | ar(nx+1-i,k) = AIMAG( work(i+1,k) ) |
---|
| 1754 | ENDDO |
---|
| 1755 | ENDDO |
---|
| 1756 | |
---|
| 1757 | ELSE |
---|
| 1758 | |
---|
| 1759 | ! |
---|
| 1760 | !-- Tables are initialized once more. This call should not be |
---|
| 1761 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
[1320] | 1762 | CALL ZDFFTM( 0, nx+1, nz1, sqr_dnx, work, nx+4, work, nx+4, & |
---|
[1] | 1763 | trig_xb, work1, 0 ) |
---|
| 1764 | |
---|
| 1765 | IF ( nz1 > nz ) THEN |
---|
[1342] | 1766 | work(:,nz1) = 0.0_wp |
---|
[1] | 1767 | ENDIF |
---|
| 1768 | DO k = 1, nz |
---|
[1392] | 1769 | work(1,k) = CMPLX( ar(0,k), 0.0_wp, KIND=wp ) |
---|
[1] | 1770 | DO i = 1, (nx+1)/2 - 1 |
---|
[1392] | 1771 | work(i+1,k) = CMPLX( ar(i,k), ar(nx+1-i,k), KIND=wp ) |
---|
[1] | 1772 | ENDDO |
---|
[1392] | 1773 | work(((nx+1)/2)+1,k) = CMPLX( ar((nx+1)/2,k), 0.0_wp, KIND=wp ) |
---|
[1] | 1774 | ENDDO |
---|
| 1775 | |
---|
[1106] | 1776 | CALL ZDFFTM( -1, nx+1, nz1, sqr_dnx, work, sizw, ai, siza, & |
---|
[1] | 1777 | trig_xb, work1, 0 ) |
---|
| 1778 | |
---|
| 1779 | ar(0:nx,1:nz) = ai(0:nx,1:nz) |
---|
| 1780 | |
---|
| 1781 | ENDIF |
---|
| 1782 | |
---|
| 1783 | #else |
---|
[254] | 1784 | message_string = 'no system-specific fft-call available' |
---|
| 1785 | CALL message( 'fft_x_m', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
[1] | 1786 | #endif |
---|
| 1787 | |
---|
| 1788 | ELSE |
---|
| 1789 | |
---|
[274] | 1790 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
| 1791 | '" not available' |
---|
[254] | 1792 | CALL message( 'fft_x_m', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
[1] | 1793 | |
---|
| 1794 | ENDIF |
---|
| 1795 | |
---|
| 1796 | END SUBROUTINE fft_x_m |
---|
| 1797 | |
---|
[1682] | 1798 | !------------------------------------------------------------------------------! |
---|
| 1799 | ! Description: |
---|
| 1800 | ! ------------ |
---|
| 1801 | !> Fourier-transformation along y-direction. |
---|
| 1802 | !> Version for 1d domain decomposition |
---|
| 1803 | !> using multiple 1D FFT from Math Keisan on NEC or Temperton-algorithm |
---|
| 1804 | !> (no singleton-algorithm on NEC because it does not vectorize) |
---|
| 1805 | !------------------------------------------------------------------------------! |
---|
| 1806 | |
---|
[1] | 1807 | SUBROUTINE fft_y_m( ar, ny1, direction ) |
---|
| 1808 | |
---|
| 1809 | |
---|
| 1810 | IMPLICIT NONE |
---|
| 1811 | |
---|
[1682] | 1812 | CHARACTER (LEN=*) :: direction !< |
---|
[1320] | 1813 | |
---|
[1682] | 1814 | INTEGER(iwp) :: j !< |
---|
| 1815 | INTEGER(iwp) :: k !< |
---|
| 1816 | INTEGER(iwp) :: ny1 !< |
---|
| 1817 | INTEGER(iwp) :: siza !< |
---|
[1] | 1818 | |
---|
[1682] | 1819 | REAL(wp), DIMENSION(0:ny1,nz) :: ar !< |
---|
| 1820 | REAL(wp), DIMENSION(0:ny+3,nz+1) :: ai !< |
---|
| 1821 | REAL(wp), DIMENSION(6*(ny+4),nz+1) :: work1 !< |
---|
[1320] | 1822 | |
---|
[1] | 1823 | #if defined( __nec ) |
---|
[1682] | 1824 | INTEGER(iwp) :: sizw !< |
---|
[1320] | 1825 | |
---|
[1682] | 1826 | COMPLEX(wp), DIMENSION((ny+4)/2+1,nz+1) :: work !< |
---|
[1] | 1827 | #endif |
---|
| 1828 | |
---|
| 1829 | IF ( fft_method == 'temperton-algorithm' ) THEN |
---|
| 1830 | |
---|
| 1831 | siza = SIZE( ai, 1 ) |
---|
| 1832 | |
---|
| 1833 | IF ( direction == 'forward') THEN |
---|
| 1834 | |
---|
| 1835 | ai(0:ny,1:nz) = ar(0:ny,1:nz) |
---|
[1342] | 1836 | ai(ny+1:,:) = 0.0_wp |
---|
[1] | 1837 | |
---|
| 1838 | CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, -1 ) |
---|
| 1839 | |
---|
| 1840 | DO k = 1, nz |
---|
| 1841 | DO j = 0, (ny+1)/2 |
---|
| 1842 | ar(j,k) = ai(2*j,k) |
---|
| 1843 | ENDDO |
---|
| 1844 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1845 | ar(ny+1-j,k) = ai(2*j+1,k) |
---|
| 1846 | ENDDO |
---|
| 1847 | ENDDO |
---|
| 1848 | |
---|
| 1849 | ELSE |
---|
| 1850 | |
---|
| 1851 | DO k = 1, nz |
---|
| 1852 | DO j = 0, (ny+1)/2 |
---|
| 1853 | ai(2*j,k) = ar(j,k) |
---|
| 1854 | ENDDO |
---|
| 1855 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1856 | ai(2*j+1,k) = ar(ny+1-j,k) |
---|
| 1857 | ENDDO |
---|
[1342] | 1858 | ai(1,k) = 0.0_wp |
---|
| 1859 | ai(ny+2,k) = 0.0_wp |
---|
[1] | 1860 | ENDDO |
---|
| 1861 | |
---|
| 1862 | CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, 1 ) |
---|
| 1863 | |
---|
| 1864 | ar(0:ny,1:nz) = ai(0:ny,1:nz) |
---|
| 1865 | |
---|
| 1866 | ENDIF |
---|
| 1867 | |
---|
| 1868 | ELSEIF ( fft_method == 'system-specific' ) THEN |
---|
| 1869 | |
---|
| 1870 | #if defined( __nec ) |
---|
| 1871 | siza = SIZE( ai, 1 ) |
---|
| 1872 | sizw = SIZE( work, 1 ) |
---|
| 1873 | |
---|
| 1874 | IF ( direction == 'forward') THEN |
---|
| 1875 | |
---|
| 1876 | ! |
---|
| 1877 | !-- Tables are initialized once more. This call should not be |
---|
| 1878 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
[1106] | 1879 | CALL DZFFTM( 0, ny+1, nz1, sqr_dny, work, ny+4, work, ny+4, & |
---|
[1] | 1880 | trig_yf, work1, 0 ) |
---|
| 1881 | |
---|
| 1882 | ai(0:ny,1:nz) = ar(0:ny,1:nz) |
---|
| 1883 | IF ( nz1 > nz ) THEN |
---|
[1342] | 1884 | ai(:,nz1) = 0.0_wp |
---|
[1] | 1885 | ENDIF |
---|
| 1886 | |
---|
[1106] | 1887 | CALL DZFFTM( 1, ny+1, nz1, sqr_dny, ai, siza, work, sizw, & |
---|
[1] | 1888 | trig_yf, work1, 0 ) |
---|
| 1889 | |
---|
| 1890 | DO k = 1, nz |
---|
| 1891 | DO j = 0, (ny+1)/2 |
---|
[1322] | 1892 | ar(j,k) = REAL( work(j+1,k), KIND=wp ) |
---|
[1] | 1893 | ENDDO |
---|
| 1894 | DO j = 1, (ny+1)/2 - 1 |
---|
| 1895 | ar(ny+1-j,k) = AIMAG( work(j+1,k) ) |
---|
| 1896 | ENDDO |
---|
| 1897 | ENDDO |
---|
| 1898 | |
---|
| 1899 | ELSE |
---|
| 1900 | |
---|
| 1901 | ! |
---|
| 1902 | !-- Tables are initialized once more. This call should not be |
---|
| 1903 | !-- necessary, but otherwise program aborts in asymmetric case |
---|
[1106] | 1904 | CALL ZDFFTM( 0, ny+1, nz1, sqr_dny, work, ny+4, work, ny+4, & |
---|
[1] | 1905 | trig_yb, work1, 0 ) |
---|
| 1906 | |
---|
| 1907 | IF ( nz1 > nz ) THEN |
---|
[1342] | 1908 | work(:,nz1) = 0.0_wp |
---|
[1] | 1909 | ENDIF |
---|
| 1910 | DO k = 1, nz |
---|
[1392] | 1911 | work(1,k) = CMPLX( ar(0,k), 0.0_wp, KIND=wp ) |
---|
[1] | 1912 | DO j = 1, (ny+1)/2 - 1 |
---|
[1392] | 1913 | work(j+1,k) = CMPLX( ar(j,k), ar(ny+1-j,k), KIND=wp ) |
---|
[1] | 1914 | ENDDO |
---|
[1392] | 1915 | work(((ny+1)/2)+1,k) = CMPLX( ar((ny+1)/2,k), 0.0_wp, KIND=wp ) |
---|
[1] | 1916 | ENDDO |
---|
| 1917 | |
---|
[1106] | 1918 | CALL ZDFFTM( -1, ny+1, nz1, sqr_dny, work, sizw, ai, siza, & |
---|
[1] | 1919 | trig_yb, work1, 0 ) |
---|
| 1920 | |
---|
| 1921 | ar(0:ny,1:nz) = ai(0:ny,1:nz) |
---|
| 1922 | |
---|
| 1923 | ENDIF |
---|
| 1924 | |
---|
| 1925 | #else |
---|
[254] | 1926 | message_string = 'no system-specific fft-call available' |
---|
| 1927 | CALL message( 'fft_y_m', 'PA0188', 1, 2, 0, 6, 0 ) |
---|
[1] | 1928 | #endif |
---|
| 1929 | |
---|
| 1930 | ELSE |
---|
[254] | 1931 | |
---|
[274] | 1932 | message_string = 'fft method "' // TRIM( fft_method) // & |
---|
| 1933 | '" not available' |
---|
[254] | 1934 | CALL message( 'fft_x_m', 'PA0189', 1, 2, 0, 6, 0 ) |
---|
[1] | 1935 | |
---|
| 1936 | ENDIF |
---|
| 1937 | |
---|
| 1938 | END SUBROUTINE fft_y_m |
---|
| 1939 | |
---|
[1106] | 1940 | |
---|
[1] | 1941 | END MODULE fft_xy |
---|