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source: palm/trunk/SOURCE/fft_xy.f90 @ 256

Last change on this file since 256 was 254, checked in by heinze, 15 years ago
Output of messages replaced by message handling routine.
Property svn:keywords set to `Id`
File size: 24.6 KB

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1	MODULE fft_xy
2
3	!------------------------------------------------------------------------------!
4	! Current revisions:
5	! -----------------
6	! Output of messages replaced by message handling routine.
7	!
8	!
9	! Former revisions:
10	! -----------------
11	! $Id: fft_xy.f90 254 2009-03-05 15:33:42Z letzel $
12	! RCS Log replace by Id keyword, revision history cleaned up
13	!
14	! Revision 1.4 2006/03/28 12:27:09 raasch
15	! Stop when system-specific fft is selected on NEC. For unknown reasons this
16	! causes a program abort during first allocation in init_grid.
17	!
18	! Revision 1.2 2004/04/30 11:44:27 raasch
19	! Module renamed from fft_for_1d_decomp to fft_xy, 1d-routines renamed to
20	! fft_x and fft_y,
21	! function FFT replaced by subroutine FFTN due to problems with 64-bit
22	! mode on ibm,
23	! shape of array cwork is explicitly stored in ishape/jshape and handled
24	! to routine FFTN instead of shape-function (due to compiler error on
25	! decalpha),
26	! non vectorized FFT for nec included
27	!
28	! Revision 1.1 2002/06/11 13:00:49 raasch
29	! Initial revision
30	!
31	!
32	! Description:
33	! ------------
34	! Fast Fourier transformation along x and y for 1d domain decomposition along x.
35	! Original version: Klaus Ketelsen (May 2002)
36	!------------------------------------------------------------------------------!
37
38	USE array_kind
39	USE control_parameters
40	USE indices
41	USE singleton
42	USE temperton_fft
43
44	IMPLICIT NONE
45
46	PRIVATE
47	PUBLIC fft_x, fft_y, fft_init, fft_x_m, fft_y_m
48
49	INTEGER, DIMENSION(:), ALLOCATABLE, SAVE :: ifax_x, ifax_y
50
51	LOGICAL, SAVE :: init_fft = .FALSE.
52
53	REAL, SAVE :: sqr_nx, sqr_ny
54	REAL, DIMENSION(:), ALLOCATABLE, SAVE :: trigs_x, trigs_y
55
56	#if defined( __ibm )
57	INTEGER, PARAMETER :: nau1 = 20000, nau2 = 22000
58	!
59	!-- The following working arrays contain tables and have to be "save" and
60	!-- shared in OpenMP sense
61	REAL, DIMENSION(nau1), SAVE :: aux1, auy1, aux3, auy3
62	#elif defined( __nec )
63	INTEGER, SAVE :: nz1
64	REAL, DIMENSION(:), ALLOCATABLE, SAVE :: trig_xb, trig_xf, trig_yb, &
65	trig_yf
66	#endif
67
68	!
69	!-- Public interfaces
70	INTERFACE fft_init
71	MODULE PROCEDURE fft_init
72	END INTERFACE fft_init
73
74	INTERFACE fft_x
75	MODULE PROCEDURE fft_x
76	END INTERFACE fft_x
77
78	INTERFACE fft_y
79	MODULE PROCEDURE fft_y
80	END INTERFACE fft_y
81
82	INTERFACE fft_x_m
83	MODULE PROCEDURE fft_x_m
84	END INTERFACE fft_x_m
85
86	INTERFACE fft_y_m
87	MODULE PROCEDURE fft_y_m
88	END INTERFACE fft_y_m
89
90	CONTAINS
91
92
93	SUBROUTINE fft_init
94
95	IMPLICIT NONE
96
97	!
98	!-- The following temporary working arrays have to be on stack or private
99	!-- in OpenMP sense
100	#if defined( __ibm )
101	REAL, DIMENSION(0:nx+2) :: workx
102	REAL, DIMENSION(0:ny+2) :: worky
103	REAL, DIMENSION(nau2) :: aux2, auy2, aux4, auy4
104	#elif defined( __nec )
105	REAL, DIMENSION(0:nx+3,nz+1) :: work_x
106	REAL, DIMENSION(0:ny+3,nz+1) :: work_y
107	REAL, DIMENSION(6*(nx+3),nz+1) :: workx
108	REAL, DIMENSION(6*(ny+3),nz+1) :: worky
109	#endif
110
111	!
112	!-- Return, if already called
113	IF ( init_fft ) THEN
114	RETURN
115	ELSE
116	init_fft = .TRUE.
117	ENDIF
118
119	IF ( fft_method == 'system-specific' ) THEN
120
121	sqr_nx = SQRT( 1.0 / ( nx + 1.0 ) )
122	sqr_ny = SQRT( 1.0 / ( ny + 1.0 ) )
123	#if defined( __ibm ) && ! defined( __ibmy_special )
124	!
125	!-- Initialize tables for fft along x
126	CALL DRCFT( 1, workx, 1, workx, 1, nx+1, 1, 1, sqr_nx, aux1, nau1, &
127	aux2, nau2 )
128	CALL DCRFT( 1, workx, 1, workx, 1, nx+1, 1, -1, sqr_nx, aux3, nau1, &
129	aux4, nau2 )
130	!
131	!-- Initialize tables for fft along y
132	CALL DRCFT( 1, worky, 1, worky, 1, ny+1, 1, 1, sqr_ny, auy1, nau1, &
133	auy2, nau2 )
134	CALL DCRFT( 1, worky, 1, worky, 1, ny+1, 1, -1, sqr_ny, auy3, nau1, &
135	auy4, nau2 )
136	#elif defined( __nec )
137	message_string = 'fft method "' // TRIM( fft_method) // &
138	'" currently does not work on NEC'
139	CALL message( 'fft_init', 'PA0187', 1, 2, 0, 6, 0 )
140
141	ALLOCATE( trig_xb(2(nx+1)), trig_xf(2(nx+1)), &
142	trig_yb(2(ny+1)), trig_yf(2(ny+1)) )
143
144	work_x = 0.0
145	work_y = 0.0
146	nz1 = nz + MOD( nz+1, 2 ) ! odd nz slows down fft significantly
147	! when using the NEC ffts
148
149	!
150	!-- Initialize tables for fft along x (non-vector and vector case (M))
151	CALL DZFFT( 0, nx+1, sqr_nx, work_x, work_x, trig_xf, workx, 0 )
152	CALL ZDFFT( 0, nx+1, sqr_nx, work_x, work_x, trig_xb, workx, 0 )
153	CALL DZFFTM( 0, nx+1, nz1, sqr_nx, work_x, nx+4, work_x, nx+4, &
154	trig_xf, workx, 0 )
155	CALL ZDFFTM( 0, nx+1, nz1, sqr_nx, work_x, nx+4, work_x, nx+4, &
156	trig_xb, workx, 0 )
157	!
158	!-- Initialize tables for fft along y (non-vector and vector case (M))
159	CALL DZFFT( 0, ny+1, sqr_ny, work_y, work_y, trig_yf, worky, 0 )
160	CALL ZDFFT( 0, ny+1, sqr_ny, work_y, work_y, trig_yb, worky, 0 )
161	CALL DZFFTM( 0, ny+1, nz1, sqr_ny, work_y, ny+4, work_y, ny+4, &
162	trig_yf, worky, 0 )
163	CALL ZDFFTM( 0, ny+1, nz1, sqr_ny, work_y, ny+4, work_y, ny+4, &
164	trig_yb, worky, 0 )
165	#else
166	message_string = 'no system-specific fft-call available'
167	CALL message( 'fft_init', 'PA0188', 1, 2, 0, 6, 0 )
168	#endif
169	ELSEIF ( fft_method == 'temperton-algorithm' ) THEN
170	!
171	!-- Temperton-algorithm
172	!-- Initialize tables for fft along x and y
173	ALLOCATE( ifax_x(nx+1), ifax_y(ny+1), trigs_x(nx+1), trigs_y(ny+1) )
174
175	CALL set99( trigs_x, ifax_x, nx+1 )
176	CALL set99( trigs_y, ifax_y, ny+1 )
177
178	ELSEIF ( fft_method == 'singleton-algorithm' ) THEN
179
180	CONTINUE
181
182	ELSE
183
184	message_string = 'fft method "' // TRIM( fft_method) // &
185	'" not available'
186	CALL message( 'fft_init', 'PA0189', 1, 2, 0, 6, 0 )
187	ENDIF
188
189	END SUBROUTINE fft_init
190
191
192	SUBROUTINE fft_x( ar, direction )
193
194	!----------------------------------------------------------------------!
195	! fft_x !
196	! !
197	! Fourier-transformation along x-direction !
198	! !
199	! fft_x uses internal algorithms (Singleton or Temperton) or !
200	! system-specific routines, if they are available !
201	!----------------------------------------------------------------------!
202
203	IMPLICIT NONE
204
205	CHARACTER (LEN=*) :: direction
206	INTEGER :: i, ishape(1)
207
208	!kk REAL, DIMENSION(:) :: ar !kk Does NOT work (Bug??)
209	REAL, DIMENSION(0:nx) :: ar
210	REAL, DIMENSION(0:nx+2) :: work
211	REAL, DIMENSION(nx+2) :: work1
212	COMPLEX, DIMENSION(:), ALLOCATABLE :: cwork
213	#if defined( __ibm )
214	REAL, DIMENSION(nau2) :: aux2, aux4
215	#elif defined( __nec )
216	REAL, DIMENSION(6*(nx+1)) :: work2
217	#endif
218
219	IF ( fft_method == 'singleton-algorithm' ) THEN
220
221	!
222	!-- Performing the fft with singleton's software works on every system,
223	!-- since it is part of the model
224	ALLOCATE( cwork(0:nx) )
225
226	IF ( direction == 'forward') then
227
228	DO i = 0, nx
229	cwork(i) = CMPLX( ar(i) )
230	ENDDO
231	ishape = SHAPE( cwork )
232	CALL FFTN( cwork, ishape )
233
234	DO i = 0, (nx+1)/2
235	ar(i) = REAL( cwork(i) )
236	ENDDO
237	DO i = 1, (nx+1)/2 - 1
238	ar(nx+1-i) = -AIMAG( cwork(i) )
239	ENDDO
240
241	ELSE
242
243	cwork(0) = CMPLX( ar(0), 0.0 )
244	DO i = 1, (nx+1)/2 - 1
245	cwork(i) = CMPLX( ar(i), -ar(nx+1-i) )
246	cwork(nx+1-i) = CMPLX( ar(i), ar(nx+1-i) )
247	ENDDO
248	cwork((nx+1)/2) = CMPLX( ar((nx+1)/2), 0.0 )
249
250	ishape = SHAPE( cwork )
251	CALL FFTN( cwork, ishape, inv = .TRUE. )
252
253	DO i = 0, nx
254	ar(i) = REAL( cwork(i) )
255	ENDDO
256
257	ENDIF
258
259	DEALLOCATE( cwork )
260
261	ELSEIF ( fft_method == 'temperton-algorithm' ) THEN
262
263	!
264	!-- Performing the fft with Temperton's software works on every system,
265	!-- since it is part of the model
266	IF ( direction == 'forward' ) THEN
267
268	work(0:nx) = ar
269	CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, -1 )
270
271	DO i = 0, (nx+1)/2
272	ar(i) = work(2*i)
273	ENDDO
274	DO i = 1, (nx+1)/2 - 1
275	ar(nx+1-i) = work(2*i+1)
276	ENDDO
277
278	ELSE
279
280	DO i = 0, (nx+1)/2
281	work(2*i) = ar(i)
282	ENDDO
283	DO i = 1, (nx+1)/2 - 1
284	work(2*i+1) = ar(nx+1-i)
285	ENDDO
286	work(1) = 0.0
287	work(nx+2) = 0.0
288
289	CALL fft991cy( work, work1, trigs_x, ifax_x, 1, nx+1, nx+1, 1, 1 )
290	ar = work(0:nx)
291
292	ENDIF
293
294	ELSEIF ( fft_method == 'system-specific' ) THEN
295
296	#if defined( __ibm ) && ! defined( __ibmy_special )
297	IF ( direction == 'forward' ) THEN
298
299	CALL DRCFT( 0, ar, 1, work, 1, nx+1, 1, 1, sqr_nx, aux1, nau1, &
300	aux2, nau2 )
301
302	DO i = 0, (nx+1)/2
303	ar(i) = work(2*i)
304	ENDDO
305	DO i = 1, (nx+1)/2 - 1
306	ar(nx+1-i) = work(2*i+1)
307	ENDDO
308
309	ELSE
310
311	DO i = 0, (nx+1)/2
312	work(2*i) = ar(i)
313	ENDDO
314	DO i = 1, (nx+1)/2 - 1
315	work(2*i+1) = ar(nx+1-i)
316	ENDDO
317	work(1) = 0.0
318	work(nx+2) = 0.0
319
320	CALL DCRFT( 0, work, 1, work, 1, nx+1, 1, -1, sqr_nx, aux3, nau1, &
321	aux4, nau2 )
322
323	DO i = 0, nx
324	ar(i) = work(i)
325	ENDDO
326
327	ENDIF
328	#elif defined( __nec )
329	IF ( direction == 'forward' ) THEN
330
331	work(0:nx) = ar(0:nx)
332
333	CALL DZFFT( 1, nx+1, sqr_nx, work, work, trig_xf, work2, 0 )
334
335	DO i = 0, (nx+1)/2
336	ar(i) = work(2*i)
337	ENDDO
338	DO i = 1, (nx+1)/2 - 1
339	ar(nx+1-i) = work(2*i+1)
340	ENDDO
341
342	ELSE
343
344	DO i = 0, (nx+1)/2
345	work(2*i) = ar(i)
346	ENDDO
347	DO i = 1, (nx+1)/2 - 1
348	work(2*i+1) = ar(nx+1-i)
349	ENDDO
350	work(1) = 0.0
351	work(nx+2) = 0.0
352
353	CALL ZDFFT( -1, nx+1, sqr_nx, work, work, trig_xb, work2, 0 )
354
355	ar(0:nx) = work(0:nx)
356
357	ENDIF
358	#else
359	message_string = 'no system-specific fft-call available'
360	CALL message( 'fft_x', 'PA0188', 1, 2, 0, 6, 0 )
361	#endif
362	ELSE
363	message_string = 'fft method "' // TRIM( fft_method) // '" not available'
364	CALL message( 'fft_x', 'PA0189', 1, 2, 0, 6, 0 )
365
366	ENDIF
367
368	END SUBROUTINE fft_x
369
370	SUBROUTINE fft_y( ar, direction )
371
372	!----------------------------------------------------------------------!
373	! fft_y !
374	! !
375	! Fourier-transformation along y-direction !
376	! !
377	! fft_y uses internal algorithms (Singleton or Temperton) or !
378	! system-specific routines, if they are available !
379	!----------------------------------------------------------------------!
380
381	IMPLICIT NONE
382
383	CHARACTER (LEN=*) :: direction
384	INTEGER :: j, jshape(1)
385
386	!kk REAL, DIMENSION(:) :: ar !kk Does NOT work (Bug??)
387	REAL, DIMENSION(0:ny) :: ar
388	REAL, DIMENSION(0:ny+2) :: work
389	REAL, DIMENSION(ny+2) :: work1
390	COMPLEX, DIMENSION(:), ALLOCATABLE :: cwork
391	#if defined( __ibm )
392	REAL, DIMENSION(nau2) :: auy2, auy4
393	#elif defined( __nec )
394	REAL, DIMENSION(6*(ny+1)) :: work2
395	#endif
396
397	IF ( fft_method == 'singleton-algorithm' ) THEN
398
399	!
400	!-- Performing the fft with singleton's software works on every system,
401	!-- since it is part of the model
402	ALLOCATE( cwork(0:ny) )
403
404	IF ( direction == 'forward') THEN
405
406	DO j = 0, ny
407	cwork(j) = CMPLX( ar(j) )
408	ENDDO
409
410	jshape = SHAPE( cwork )
411	CALL FFTN( cwork, jshape )
412
413	DO j = 0, (ny+1)/2
414	ar(j) = REAL( cwork(j) )
415	ENDDO
416	DO j = 1, (ny+1)/2 - 1
417	ar(ny+1-j) = -AIMAG( cwork(j) )
418	ENDDO
419
420	ELSE
421
422	cwork(0) = CMPLX( ar(0), 0.0 )
423	DO j = 1, (ny+1)/2 - 1
424	cwork(j) = CMPLX( ar(j), -ar(ny+1-j) )
425	cwork(ny+1-j) = CMPLX( ar(j), ar(ny+1-j) )
426	ENDDO
427	cwork((ny+1)/2) = CMPLX( ar((ny+1)/2), 0.0 )
428
429	jshape = SHAPE( cwork )
430	CALL FFTN( cwork, jshape, inv = .TRUE. )
431
432	DO j = 0, ny
433	ar(j) = REAL( cwork(j) )
434	ENDDO
435
436	ENDIF
437
438	DEALLOCATE( cwork )
439
440	ELSEIF ( fft_method == 'temperton-algorithm' ) THEN
441
442	!
443	!-- Performing the fft with Temperton's software works on every system,
444	!-- since it is part of the model
445	IF ( direction == 'forward' ) THEN
446
447	work(0:ny) = ar
448	CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, -1 )
449
450	DO j = 0, (ny+1)/2
451	ar(j) = work(2*j)
452	ENDDO
453	DO j = 1, (ny+1)/2 - 1
454	ar(ny+1-j) = work(2*j+1)
455	ENDDO
456
457	ELSE
458
459	DO j = 0, (ny+1)/2
460	work(2*j) = ar(j)
461	ENDDO
462	DO j = 1, (ny+1)/2 - 1
463	work(2*j+1) = ar(ny+1-j)
464	ENDDO
465	work(1) = 0.0
466	work(ny+2) = 0.0
467
468	CALL fft991cy( work, work1, trigs_y, ifax_y, 1, ny+1, ny+1, 1, 1 )
469	ar = work(0:ny)
470
471	ENDIF
472
473	ELSEIF ( fft_method == 'system-specific' ) THEN
474
475	#if defined( __ibm ) && ! defined( __ibmy_special )
476	IF ( direction == 'forward') THEN
477
478	CALL DRCFT( 0, ar, 1, work, 1, ny+1, 1, 1, sqr_ny, auy1, nau1, &
479	auy2, nau2 )
480
481	DO j = 0, (ny+1)/2
482	ar(j) = work(2*j)
483	ENDDO
484	DO j = 1, (ny+1)/2 - 1
485	ar(ny+1-j) = work(2*j+1)
486	ENDDO
487
488	ELSE
489
490	DO j = 0, (ny+1)/2
491	work(2*j) = ar(j)
492	ENDDO
493	DO j = 1, (ny+1)/2 - 1
494	work(2*j+1) = ar(ny+1-j)
495	ENDDO
496	work(1) = 0.0
497	work(ny+2) = 0.0
498
499	CALL DCRFT( 0, work, 1, work, 1, ny+1, 1, -1, sqr_ny, auy3, nau1, &
500	auy4, nau2 )
501
502	DO j = 0, ny
503	ar(j) = work(j)
504	ENDDO
505
506	ENDIF
507	#elif defined( __nec )
508	IF ( direction == 'forward' ) THEN
509
510	work(0:ny) = ar(0:ny)
511
512	CALL DZFFT( 1, ny+1, sqr_ny, work, work, trig_yf, work2, 0 )
513
514	DO j = 0, (ny+1)/2
515	ar(j) = work(2*j)
516	ENDDO
517	DO j = 1, (ny+1)/2 - 1
518	ar(ny+1-j) = work(2*j+1)
519	ENDDO
520
521	ELSE
522
523	DO j = 0, (ny+1)/2
524	work(2*j) = ar(j)
525	ENDDO
526	DO j = 1, (ny+1)/2 - 1
527	work(2*j+1) = ar(ny+1-j)
528	ENDDO
529	work(1) = 0.0
530	work(ny+2) = 0.0
531
532	CALL ZDFFT( -1, ny+1, sqr_ny, work, work, trig_yb, work2, 0 )
533
534	ar(0:ny) = work(0:ny)
535
536	ENDIF
537	#else
538	message_string = 'no system-specific fft-call available'
539	CALL message( 'fft_y', 'PA0188', 1, 2, 0, 6, 0 )
540
541	#endif
542
543	ELSE
544
545	message_string = 'fft method "' // TRIM( fft_method) // '" not available'
546	CALL message( 'fft_y', 'PA0189', 1, 2, 0, 6, 0 )
547
548	ENDIF
549
550	END SUBROUTINE fft_y
551
552	SUBROUTINE fft_x_m( ar, direction )
553
554	!----------------------------------------------------------------------!
555	! fft_x_m !
556	! !
557	! Fourier-transformation along x-direction !
558	! Version for 1d domain decomposition !
559	! using multiple 1D FFT from Math Keisan on NEC !
560	! or Temperton-algorithm !
561	! (no singleton-algorithm on NEC because it does not vectorize) !
562	! !
563	!----------------------------------------------------------------------!
564
565	IMPLICIT NONE
566
567	CHARACTER (LEN=*) :: direction
568	INTEGER :: i, k, siza, sizw
569
570	REAL, DIMENSION(0:nx,nz) :: ar
571	REAL, DIMENSION(0:nx+3,nz+1) :: ai
572	REAL, DIMENSION(6*(nx+4),nz+1) :: work1
573	#if defined( __nec )
574	COMPLEX, DIMENSION((nx+4)/2+1,nz+1) :: work
575	#endif
576
577	IF ( fft_method == 'temperton-algorithm' ) THEN
578
579	siza = SIZE( ai, 1 )
580
581	IF ( direction == 'forward') THEN
582
583	ai(0:nx,1:nz) = ar(0:nx,1:nz)
584	ai(nx+1:,:) = 0.0
585
586	CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, -1 )
587
588	DO k = 1, nz
589	DO i = 0, (nx+1)/2
590	ar(i,k) = ai(2*i,k)
591	ENDDO
592	DO i = 1, (nx+1)/2 - 1
593	ar(nx+1-i,k) = ai(2*i+1,k)
594	ENDDO
595	ENDDO
596
597	ELSE
598
599	DO k = 1, nz
600	DO i = 0, (nx+1)/2
601	ai(2*i,k) = ar(i,k)
602	ENDDO
603	DO i = 1, (nx+1)/2 - 1
604	ai(2*i+1,k) = ar(nx+1-i,k)
605	ENDDO
606	ai(1,k) = 0.0
607	ai(nx+2,k) = 0.0
608	ENDDO
609
610	CALL fft991cy( ai, work1, trigs_x, ifax_x, 1, siza, nx+1, nz, 1 )
611
612	ar(0:nx,1:nz) = ai(0:nx,1:nz)
613
614	ENDIF
615
616	ELSEIF ( fft_method == 'system-specific' ) THEN
617
618	#if defined( __nec )
619	siza = SIZE( ai, 1 )
620	sizw = SIZE( work, 1 )
621
622	IF ( direction == 'forward') THEN
623
624	!
625	!-- Tables are initialized once more. This call should not be
626	!-- necessary, but otherwise program aborts in asymmetric case
627	CALL DZFFTM( 0, nx+1, nz1, sqr_nx, work, nx+4, work, nx+4, &
628	trig_xf, work1, 0 )
629
630	ai(0:nx,1:nz) = ar(0:nx,1:nz)
631	IF ( nz1 > nz ) THEN
632	ai(:,nz1) = 0.0
633	ENDIF
634
635	CALL DZFFTM( 1, nx+1, nz1, sqr_nx, ai, siza, work, sizw, &
636	trig_xf, work1, 0 )
637
638	DO k = 1, nz
639	DO i = 0, (nx+1)/2
640	ar(i,k) = REAL( work(i+1,k) )
641	ENDDO
642	DO i = 1, (nx+1)/2 - 1
643	ar(nx+1-i,k) = AIMAG( work(i+1,k) )
644	ENDDO
645	ENDDO
646
647	ELSE
648
649	!
650	!-- Tables are initialized once more. This call should not be
651	!-- necessary, but otherwise program aborts in asymmetric case
652	CALL ZDFFTM( 0, nx+1, nz1, sqr_nx, work, nx+4, work, nx+4, &
653	trig_xb, work1, 0 )
654
655	IF ( nz1 > nz ) THEN
656	work(:,nz1) = 0.0
657	ENDIF
658	DO k = 1, nz
659	work(1,k) = CMPLX( ar(0,k), 0.0 )
660	DO i = 1, (nx+1)/2 - 1
661	work(i+1,k) = CMPLX( ar(i,k), ar(nx+1-i,k) )
662	ENDDO
663	work(((nx+1)/2)+1,k) = CMPLX( ar((nx+1)/2,k), 0.0 )
664	ENDDO
665
666	CALL ZDFFTM( -1, nx+1, nz1, sqr_nx, work, sizw, ai, siza, &
667	trig_xb, work1, 0 )
668
669	ar(0:nx,1:nz) = ai(0:nx,1:nz)
670
671	ENDIF
672
673	#else
674	message_string = 'no system-specific fft-call available'
675	CALL message( 'fft_x_m', 'PA0188', 1, 2, 0, 6, 0 )
676	#endif
677
678	ELSE
679
680	message_string = 'fft method "' // TRIM( fft_method) // '" not available'
681	CALL message( 'fft_x_m', 'PA0189', 1, 2, 0, 6, 0 )
682
683	ENDIF
684
685	END SUBROUTINE fft_x_m
686
687	SUBROUTINE fft_y_m( ar, ny1, direction )
688
689	!----------------------------------------------------------------------!
690	! fft_y_m !
691	! !
692	! Fourier-transformation along y-direction !
693	! Version for 1d domain decomposition !
694	! using multiple 1D FFT from Math Keisan on NEC !
695	! or Temperton-algorithm !
696	! (no singleton-algorithm on NEC because it does not vectorize) !
697	! !
698	!----------------------------------------------------------------------!
699
700	IMPLICIT NONE
701
702	CHARACTER (LEN=*) :: direction
703	INTEGER :: j, k, ny1, siza, sizw
704
705	REAL, DIMENSION(0:ny1,nz) :: ar
706	REAL, DIMENSION(0:ny+3,nz+1) :: ai
707	REAL, DIMENSION(6*(ny+4),nz+1) :: work1
708	#if defined( __nec )
709	COMPLEX, DIMENSION((ny+4)/2+1,nz+1) :: work
710	#endif
711
712	IF ( fft_method == 'temperton-algorithm' ) THEN
713
714	siza = SIZE( ai, 1 )
715
716	IF ( direction == 'forward') THEN
717
718	ai(0:ny,1:nz) = ar(0:ny,1:nz)
719	ai(ny+1:,:) = 0.0
720
721	CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, -1 )
722
723	DO k = 1, nz
724	DO j = 0, (ny+1)/2
725	ar(j,k) = ai(2*j,k)
726	ENDDO
727	DO j = 1, (ny+1)/2 - 1
728	ar(ny+1-j,k) = ai(2*j+1,k)
729	ENDDO
730	ENDDO
731
732	ELSE
733
734	DO k = 1, nz
735	DO j = 0, (ny+1)/2
736	ai(2*j,k) = ar(j,k)
737	ENDDO
738	DO j = 1, (ny+1)/2 - 1
739	ai(2*j+1,k) = ar(ny+1-j,k)
740	ENDDO
741	ai(1,k) = 0.0
742	ai(ny+2,k) = 0.0
743	ENDDO
744
745	CALL fft991cy( ai, work1, trigs_y, ifax_y, 1, siza, ny+1, nz, 1 )
746
747	ar(0:ny,1:nz) = ai(0:ny,1:nz)
748
749	ENDIF
750
751	ELSEIF ( fft_method == 'system-specific' ) THEN
752
753	#if defined( __nec )
754	siza = SIZE( ai, 1 )
755	sizw = SIZE( work, 1 )
756
757	IF ( direction == 'forward') THEN
758
759	!
760	!-- Tables are initialized once more. This call should not be
761	!-- necessary, but otherwise program aborts in asymmetric case
762	CALL DZFFTM( 0, ny+1, nz1, sqr_ny, work, ny+4, work, ny+4, &
763	trig_yf, work1, 0 )
764
765	ai(0:ny,1:nz) = ar(0:ny,1:nz)
766	IF ( nz1 > nz ) THEN
767	ai(:,nz1) = 0.0
768	ENDIF
769
770	CALL DZFFTM( 1, ny+1, nz1, sqr_ny, ai, siza, work, sizw, &
771	trig_yf, work1, 0 )
772
773	DO k = 1, nz
774	DO j = 0, (ny+1)/2
775	ar(j,k) = REAL( work(j+1,k) )
776	ENDDO
777	DO j = 1, (ny+1)/2 - 1
778	ar(ny+1-j,k) = AIMAG( work(j+1,k) )
779	ENDDO
780	ENDDO
781
782	ELSE
783
784	!
785	!-- Tables are initialized once more. This call should not be
786	!-- necessary, but otherwise program aborts in asymmetric case
787	CALL ZDFFTM( 0, ny+1, nz1, sqr_ny, work, ny+4, work, ny+4, &
788	trig_yb, work1, 0 )
789
790	IF ( nz1 > nz ) THEN
791	work(:,nz1) = 0.0
792	ENDIF
793	DO k = 1, nz
794	work(1,k) = CMPLX( ar(0,k), 0.0 )
795	DO j = 1, (ny+1)/2 - 1
796	work(j+1,k) = CMPLX( ar(j,k), ar(ny+1-j,k) )
797	ENDDO
798	work(((ny+1)/2)+1,k) = CMPLX( ar((ny+1)/2,k), 0.0 )
799	ENDDO
800
801	CALL ZDFFTM( -1, ny+1, nz1, sqr_ny, work, sizw, ai, siza, &
802	trig_yb, work1, 0 )
803
804	ar(0:ny,1:nz) = ai(0:ny,1:nz)
805
806	ENDIF
807
808	#else
809	message_string = 'no system-specific fft-call available'
810	CALL message( 'fft_y_m', 'PA0188', 1, 2, 0, 6, 0 )
811	#endif
812
813	ELSE
814
815	message_string = 'fft method "' // TRIM( fft_method) // '" not available'
816	CALL message( 'fft_x_m', 'PA0189', 1, 2, 0, 6, 0 )
817
818	ENDIF
819
820	END SUBROUTINE fft_y_m
821
822	END MODULE fft_xy

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