Line data Source code
1 : !--------------------------------------------------------------------------------------------------!
2 : ! CP2K: A general program to perform molecular dynamics simulations !
3 : ! Copyright 2000-2024 CP2K developers group <https://cp2k.org> !
4 : ! !
5 : ! SPDX-License-Identifier: GPL-2.0-or-later !
6 : !--------------------------------------------------------------------------------------------------!
7 :
8 : ! **************************************************************************************************
9 : MODULE ps_wavelet_fft3d
10 :
11 : USE kinds, ONLY: dp
12 : #include "../base/base_uses.f90"
13 :
14 : IMPLICIT NONE
15 : PRIVATE
16 :
17 : CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'ps_wavelet_fft3d'
18 :
19 : ! longest fft supported, must be equal to the length of the ctrig array
20 : INTEGER, PARAMETER :: ctrig_length = 8192
21 :
22 : PUBLIC :: fourier_dim, &
23 : ctrig, &
24 : fftstp, ctrig_length
25 :
26 : CONTAINS
27 :
28 : ! **************************************************************************************************
29 : !> \brief Give a number n_next > n compatible for the FFT
30 : !> \param n ...
31 : !> \param n_next ...
32 : ! **************************************************************************************************
33 104437 : SUBROUTINE fourier_dim(n, n_next)
34 : INTEGER, INTENT(in) :: n
35 : INTEGER, INTENT(out) :: n_next
36 :
37 : INTEGER, PARAMETER :: ndata = 149, ndata1024 = 149
38 : INTEGER, DIMENSION(ndata), PARAMETER :: idata = (/3, 4, 5, 6, 8, 9, 12, 15, 16, 18, 20, 24, &
39 : 25, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 75, 80, 81, 90, 96, 100, 108, 120, 125, &
40 : 128, 135, 144, 150, 160, 162, 180, 192, 200, 216, 225, 240, 243, 256, 270, 288, 300, 320, &
41 : 324, 360, 375, 384, 400, 405, 432, 450, 480, 486, 500, 512, 540, 576, 600, 625, 640, 648, &
42 : 675, 720, 729, 750, 768, 800, 810, 864, 900, 960, 972, 1000, 1024, 1080, 1125, 1152, 1200,&
43 : 1215, 1280, 1296, 1350, 1440, 1458, 1500, 1536, 1600, 1620, 1728, 1800, 1875, 1920, 1944, &
44 : 2000, 2025, 2048, 2160, 2250, 2304, 2400, 2430, 2500, 2560, 2592, 2700, 2880, 3000, 3072, &
45 : 3125, 3200, 3240, 3375, 3456, 3600, 3750, 3840, 3888, 4000, 4050, 4096, 4320, 4500, 4608, &
46 : 4800, 5000, 5120, 5184, 5400, 5625, 5760, 6000, 6144, 6400, 6480, 6750, 6912, 7200, 7500, &
47 : 7680, 8000, ctrig_length/)
48 :
49 : INTEGER :: i
50 :
51 : !Multiple of 2,3,5
52 :
53 1671612 : loop_data: DO i = 1, ndata1024
54 1671612 : IF (n <= idata(i)) THEN
55 104437 : n_next = idata(i)
56 104437 : RETURN
57 : END IF
58 : END DO loop_data
59 0 : WRITE (unit=*, fmt=*) "fourier_dim: ", n, " is bigger than ", idata(ndata1024)
60 0 : CPABORT("")
61 : END SUBROUTINE fourier_dim
62 :
63 : ! Copyright (C) Stefan Goedecker, CEA Grenoble, 2002
64 : ! This file is distributed under the terms of the
65 : ! GNU General Public License, see http://www.gnu.org/copyleft/gpl.txt .
66 :
67 : ! --------------------------------------------------------------
68 : ! 3-dimensional complex-complex FFT routine:
69 : ! When compared to the best vendor implementations on RISC architectures
70 : ! it gives close to optimal performance (perhaps losing 20 percent in speed)
71 : ! and it is significantly faster than many not so good vendor implementations
72 : ! as well as other portable FFT's.
73 : ! On all vector machines tested so far (Cray, NEC, Fujitsu) is
74 : ! was significantly faster than the vendor routines
75 : ! The theoretical background is described in :
76 : ! 1) S. Goedecker: Rotating a three-dimensional array in optimal
77 : ! positions for vector processing: Case study for a three-dimensional Fast
78 : ! Fourier Transform, Comp. Phys. Commun. \underline{76}, 294 (1993)
79 : ! Citing of this reference is greatly appreciated if the routines are used
80 : ! for scientific work.
81 :
82 : ! Presumably good compiler flags:
83 : ! IBM, serial power 2: xlf -qarch=pwr2 -O2 -qmaxmem=-1
84 : ! with OpenMP: IBM: xlf_r -qfree -O4 -qarch=pwr3 -qtune=pwr3 -qsmp=omp -qmaxmem=-1 ;
85 : ! a.out
86 : ! DEC: f90 -O3 -arch ev67 -pipeline
87 : ! with OpenMP: DEC: f90 -O3 -arch ev67 -pipeline -omp -lelan ;
88 : ! prun -N1 -c4 a.out
89 :
90 : !-----------------------------------------------------------
91 :
92 : ! FFT PART -----------------------------------------------------------------
93 :
94 : ! **************************************************************************************************
95 : !> \brief ...
96 : !> \param n ...
97 : !> \param trig ...
98 : !> \param after ...
99 : !> \param before ...
100 : !> \param now ...
101 : !> \param isign ...
102 : !> \param ic ...
103 : ! **************************************************************************************************
104 91637 : SUBROUTINE ctrig(n, trig, after, before, now, isign, ic)
105 : ! Copyright (C) Stefan Goedecker, Lausanne, Switzerland, August 1, 1991
106 : ! Copyright (C) Stefan Goedecker, Cornell University, Ithaca, USA, 1994
107 : ! Copyright (C) Stefan Goedecker, MPI Stuttgart, Germany, 1999
108 : ! This file is distributed under the terms of the
109 : ! GNU General Public License, see http://www.gnu.org/copyleft/gpl.txt .
110 :
111 : ! Different factorizations affect the performance
112 : ! Factoring 64 as 4*4*4 might for example be faster on some machines than 8*8.
113 : INTEGER :: n
114 : REAL(KIND=dp) :: trig
115 : INTEGER :: after, before, now, isign, ic
116 :
117 : INTEGER :: i, itt, j, nh
118 : REAL(KIND=dp) :: angle, trigc, trigs, twopi
119 :
120 : DIMENSION now(7), after(7), before(7), trig(2, ctrig_length)
121 : INTEGER, DIMENSION(7, 149) :: idata
122 : ! The factor 6 is only allowed in the first place!
123 : DATA((idata(i, j), i=1, 7), j=1, 76)/ &
124 : 3, 3, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, &
125 : 5, 5, 1, 1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, &
126 : 8, 8, 1, 1, 1, 1, 1, 9, 3, 3, 1, 1, 1, 1, &
127 : 12, 4, 3, 1, 1, 1, 1, 15, 5, 3, 1, 1, 1, 1, &
128 : 16, 4, 4, 1, 1, 1, 1, 18, 6, 3, 1, 1, 1, 1, &
129 : 20, 5, 4, 1, 1, 1, 1, 24, 8, 3, 1, 1, 1, 1, &
130 : 25, 5, 5, 1, 1, 1, 1, 27, 3, 3, 3, 1, 1, 1, &
131 : 30, 6, 5, 1, 1, 1, 1, 32, 8, 4, 1, 1, 1, 1, &
132 : 36, 4, 3, 3, 1, 1, 1, 40, 8, 5, 1, 1, 1, 1, &
133 : 45, 5, 3, 3, 1, 1, 1, 48, 4, 4, 3, 1, 1, 1, &
134 : 54, 6, 3, 3, 1, 1, 1, 60, 5, 4, 3, 1, 1, 1, &
135 : 64, 8, 8, 1, 1, 1, 1, 72, 8, 3, 3, 1, 1, 1, &
136 : 75, 5, 5, 3, 1, 1, 1, 80, 5, 4, 4, 1, 1, 1, &
137 : 81, 3, 3, 3, 3, 1, 1, 90, 6, 5, 3, 1, 1, 1, &
138 : 96, 8, 4, 3, 1, 1, 1, 100, 5, 5, 4, 1, 1, 1, &
139 : 108, 4, 3, 3, 3, 1, 1, 120, 8, 5, 3, 1, 1, 1, &
140 : 125, 5, 5, 5, 1, 1, 1, 128, 8, 4, 4, 1, 1, 1, &
141 : 135, 5, 3, 3, 3, 1, 1, 144, 6, 8, 3, 1, 1, 1, &
142 : 150, 6, 5, 5, 1, 1, 1, 160, 8, 5, 4, 1, 1, 1, &
143 : 162, 6, 3, 3, 3, 1, 1, 180, 5, 4, 3, 3, 1, 1, &
144 : 192, 6, 8, 4, 1, 1, 1, 200, 8, 5, 5, 1, 1, 1, &
145 : 216, 8, 3, 3, 3, 1, 1, 225, 5, 5, 3, 3, 1, 1, &
146 : 240, 6, 8, 5, 1, 1, 1, 243, 3, 3, 3, 3, 3, 1, &
147 : 256, 8, 8, 4, 1, 1, 1, 270, 6, 5, 3, 3, 1, 1, &
148 : 288, 8, 4, 3, 3, 1, 1, 300, 5, 5, 4, 3, 1, 1, &
149 : 320, 5, 4, 4, 4, 1, 1, 324, 4, 3, 3, 3, 3, 1, &
150 : 360, 8, 5, 3, 3, 1, 1, 375, 5, 5, 5, 3, 1, 1, &
151 : 384, 8, 4, 4, 3, 1, 1, 400, 5, 5, 4, 4, 1, 1, &
152 : 405, 5, 3, 3, 3, 3, 1, 432, 4, 4, 3, 3, 3, 1, &
153 : 450, 6, 5, 5, 3, 1, 1, 480, 8, 5, 4, 3, 1, 1, &
154 : 486, 6, 3, 3, 3, 3, 1, 500, 5, 5, 5, 4, 1, 1, &
155 : 512, 8, 8, 8, 1, 1, 1, 540, 5, 4, 3, 3, 3, 1, &
156 : 576, 4, 4, 4, 3, 3, 1, 600, 8, 5, 5, 3, 1, 1, &
157 : 625, 5, 5, 5, 5, 1, 1, 640, 8, 5, 4, 4, 1, 1, &
158 : 648, 8, 3, 3, 3, 3, 1, 675, 5, 5, 3, 3, 3, 1, &
159 : 720, 5, 4, 4, 3, 3, 1, 729, 3, 3, 3, 3, 3, 3, &
160 : 750, 6, 5, 5, 5, 1, 1, 768, 4, 4, 4, 4, 3, 1, &
161 : 800, 8, 5, 5, 4, 1, 1, 810, 6, 5, 3, 3, 3, 1/
162 : DATA((idata(i, j), i=1, 7), j=77, 149)/ &
163 : 864, 8, 4, 3, 3, 3, 1, 900, 5, 5, 4, 3, 3, 1, &
164 : 960, 5, 4, 4, 4, 3, 1, 972, 4, 3, 3, 3, 3, 3, &
165 : 1000, 8, 5, 5, 5, 1, 1, 1024, 4, 4, 4, 4, 4, 1, &
166 : 1080, 6, 5, 4, 3, 3, 1, 1125, 5, 5, 5, 3, 3, 1, &
167 : 1152, 6, 4, 4, 4, 3, 1, 1200, 6, 8, 5, 5, 1, 1, &
168 : 1215, 5, 3, 3, 3, 3, 3, 1280, 8, 8, 5, 4, 1, 1, &
169 : 1296, 6, 8, 3, 3, 3, 1, 1350, 6, 5, 5, 3, 3, 1, &
170 : 1440, 6, 5, 4, 4, 3, 1, 1458, 6, 3, 3, 3, 3, 3, &
171 : 1500, 5, 5, 5, 4, 3, 1, 1536, 6, 8, 8, 4, 1, 1, &
172 : 1600, 8, 8, 5, 5, 1, 1, 1620, 5, 4, 3, 3, 3, 3, &
173 : 1728, 6, 8, 4, 3, 3, 1, 1800, 6, 5, 5, 4, 3, 1, &
174 : 1875, 5, 5, 5, 5, 3, 1, 1920, 6, 5, 4, 4, 4, 1, &
175 : 1944, 6, 4, 3, 3, 3, 3, 2000, 5, 5, 5, 4, 4, 1, &
176 : 2025, 5, 5, 3, 3, 3, 3, 2048, 8, 4, 4, 4, 4, 1, &
177 : 2160, 6, 8, 5, 3, 3, 1, 2250, 6, 5, 5, 5, 3, 1, &
178 : 2304, 6, 8, 4, 4, 3, 1, 2400, 6, 5, 5, 4, 4, 1, &
179 : 2430, 6, 5, 3, 3, 3, 3, 2500, 5, 5, 5, 5, 4, 1, &
180 : 2560, 8, 5, 4, 4, 4, 1, 2592, 6, 4, 4, 3, 3, 3, &
181 : 2700, 5, 5, 4, 3, 3, 3, 2880, 6, 8, 5, 4, 3, 1, &
182 : 3000, 6, 5, 5, 5, 4, 1, 3072, 6, 8, 4, 4, 4, 1, &
183 : 3125, 5, 5, 5, 5, 5, 1, 3200, 8, 5, 5, 4, 4, 1, &
184 : 3240, 6, 5, 4, 3, 3, 3, 3375, 5, 5, 5, 3, 3, 3, &
185 : 3456, 6, 4, 4, 4, 3, 3, 3600, 6, 8, 5, 5, 3, 1, &
186 : 3750, 6, 5, 5, 5, 5, 1, 3840, 6, 8, 5, 4, 4, 1, &
187 : 3888, 6, 8, 3, 3, 3, 3, 4000, 8, 5, 5, 5, 4, 1, &
188 : 4050, 6, 5, 5, 3, 3, 3, 4096, 8, 8, 4, 4, 4, 1, &
189 : 4320, 6, 5, 4, 4, 3, 3, 4500, 5, 5, 5, 4, 3, 3, &
190 : 4608, 6, 8, 8, 4, 3, 1, 4800, 6, 8, 5, 5, 4, 1, &
191 : 5000, 8, 5, 5, 5, 5, 1, 5120, 8, 8, 5, 4, 4, 1, &
192 : 5184, 6, 8, 4, 3, 3, 3, 5400, 6, 5, 5, 4, 3, 3, &
193 : 5625, 5, 5, 5, 5, 3, 3, 5760, 6, 8, 8, 5, 3, 1, &
194 : 6000, 6, 8, 5, 5, 5, 1, 6144, 6, 8, 8, 4, 4, 1, &
195 : 6400, 8, 8, 5, 5, 4, 1, 6480, 6, 8, 5, 3, 3, 3, &
196 : 6750, 6, 5, 5, 5, 3, 3, 6912, 6, 8, 4, 4, 3, 3, &
197 : 7200, 6, 5, 5, 4, 4, 3, 7500, 5, 5, 5, 5, 4, 3, &
198 : 7680, 6, 8, 8, 5, 4, 1, 8000, 8, 8, 5, 5, 5, 1, &
199 : 8192, 8, 8, 8, 4, 4, 1/
200 :
201 1478548 : DO i = 1, 150
202 1478548 : IF (i == 150) THEN
203 0 : PRINT *, 'VALUE OF', n, 'NOT ALLOWED FOR FFT, ALLOWED VALUES ARE:'
204 : 37 FORMAT(15(i5))
205 0 : WRITE (*, 37) (idata(1, j), j=1, 149)
206 0 : CPABORT("")
207 : END IF
208 1478548 : IF (n .EQ. idata(1, i)) THEN
209 91637 : ic = 0
210 313243 : DO j = 1, 6
211 313243 : itt = idata(1 + j, i)
212 313243 : IF (itt .GT. 1) THEN
213 221606 : ic = ic + 1
214 221606 : now(j) = idata(1 + j, i)
215 : ELSE
216 : EXIT
217 : END IF
218 : END DO
219 : EXIT
220 : END IF
221 : END DO
222 :
223 91637 : after(1) = 1
224 91637 : before(ic) = 1
225 221606 : DO i = 2, ic
226 129969 : after(i) = after(i - 1)*now(i - 1)
227 221606 : before(ic - i + 1) = before(ic - i + 2)*now(ic - i + 2)
228 : END DO
229 :
230 91637 : twopi = 6.283185307179586_dp
231 91637 : angle = isign*twopi/n
232 91637 : IF (MOD(n, 2) .EQ. 0) THEN
233 81026 : nh = n/2
234 81026 : trig(1, 1) = 1._dp
235 81026 : trig(2, 1) = 0._dp
236 81026 : trig(1, nh + 1) = -1._dp
237 81026 : trig(2, nh + 1) = 0._dp
238 1753414 : DO 40, i = 1, nh - 1
239 1672388 : trigc = COS(i*angle)
240 1672388 : trigs = SIN(i*angle)
241 1672388 : trig(1, i + 1) = trigc
242 1672388 : trig(2, i + 1) = trigs
243 1672388 : trig(1, n - i + 1) = trigc
244 1672388 : trig(2, n - i + 1) = -trigs
245 81026 : 40 CONTINUE
246 : ELSE
247 10611 : nh = (n - 1)/2
248 10611 : trig(1, 1) = 1._dp
249 10611 : trig(2, 1) = 0._dp
250 102816 : DO 20, i = 1, nh
251 92205 : trigc = COS(i*angle)
252 92205 : trigs = SIN(i*angle)
253 92205 : trig(1, i + 1) = trigc
254 92205 : trig(2, i + 1) = trigs
255 92205 : trig(1, n - i + 1) = trigc
256 92205 : trig(2, n - i + 1) = -trigs
257 10611 : 20 CONTINUE
258 : END IF
259 :
260 91637 : END SUBROUTINE ctrig
261 :
262 : !ccccccccccccccccccccccccccccccccccccccccccccccc
263 :
264 : ! **************************************************************************************************
265 : !> \brief ...
266 : !> \param mm ...
267 : !> \param nfft ...
268 : !> \param m ...
269 : !> \param nn ...
270 : !> \param n ...
271 : !> \param zin ...
272 : !> \param zout ...
273 : !> \param trig ...
274 : !> \param after ...
275 : !> \param now ...
276 : !> \param before ...
277 : !> \param isign ...
278 : ! **************************************************************************************************
279 21418742 : SUBROUTINE fftstp(mm, nfft, m, nn, n, zin, zout, trig, after, now, before, isign)
280 : ! Copyright (C) Stefan Goedecker, Cornell University, Ithaca, USA, 1994
281 : ! Copyright (C) Stefan Goedecker, MPI Stuttgart, Germany, 1995, 1999
282 : ! This file is distributed under the terms of the
283 : ! GNU General Public License, see http://www.gnu.org/copyleft/gpl.txt .
284 :
285 : INTEGER :: mm, nfft, m, nn, n
286 : REAL(KIND=dp) :: zin, zout, trig
287 : INTEGER :: after, now, before, isign
288 :
289 : INTEGER :: atb, atn, ia, ias, ib, itrig, itt, j, &
290 : nin1, nin2, nin3, nin4, nin5, nin6, &
291 : nin7, nin8, nout1, nout2, nout3, &
292 : nout4, nout5, nout6, nout7, nout8
293 : REAL(KIND=dp) :: am, ap, bb, bm, bp, ci2, ci3, ci4, ci5, ci6, ci7, ci8, cm, cos2, cos4, cp, &
294 : cr2, cr3, cr4, cr5, cr6, cr7, cr8, dm, dpp, r, r1, r2, r25, r3, r34, r4, r5, r6, r7, r8, &
295 : rt2i, s, s1, s2, s25, s3, s34, s4, s5, s6, s7, s8, sin2, sin4, ui1, ui2, ui3, ur1, ur2, &
296 : ur3, vi1, vi2, vi3, vr1, vr2, vr3
297 :
298 : DIMENSION trig(2, ctrig_length), zin(2, mm, m), zout(2, nn, n)
299 21418742 : atn = after*now
300 21418742 : atb = after*before
301 :
302 : ! sqrt(.5_dp)
303 21418742 : rt2i = 0.7071067811865475_dp
304 : IF (now .EQ. 2) THEN
305 0 : ia = 1
306 0 : nin1 = ia - after
307 0 : nout1 = ia - atn
308 0 : DO ib = 1, before
309 0 : nin1 = nin1 + after
310 0 : nin2 = nin1 + atb
311 0 : nout1 = nout1 + atn
312 0 : nout2 = nout1 + after
313 0 : DO j = 1, nfft
314 0 : r1 = zin(1, j, nin1)
315 0 : s1 = zin(2, j, nin1)
316 0 : r2 = zin(1, j, nin2)
317 0 : s2 = zin(2, j, nin2)
318 0 : zout(1, j, nout1) = r2 + r1
319 0 : zout(2, j, nout1) = s2 + s1
320 0 : zout(1, j, nout2) = r1 - r2
321 0 : zout(2, j, nout2) = s1 - s2
322 : END DO; END DO
323 0 : DO 2000, ia = 2, after
324 0 : ias = ia - 1
325 0 : IF (2*ias .EQ. after) THEN
326 0 : IF (isign .EQ. 1) THEN
327 0 : nin1 = ia - after
328 0 : nout1 = ia - atn
329 0 : DO ib = 1, before
330 0 : nin1 = nin1 + after
331 0 : nin2 = nin1 + atb
332 0 : nout1 = nout1 + atn
333 0 : nout2 = nout1 + after
334 0 : DO j = 1, nfft
335 0 : r1 = zin(1, j, nin1)
336 0 : s1 = zin(2, j, nin1)
337 0 : r2 = zin(2, j, nin2)
338 0 : s2 = zin(1, j, nin2)
339 0 : zout(1, j, nout1) = r1 - r2
340 0 : zout(2, j, nout1) = s2 + s1
341 0 : zout(1, j, nout2) = r2 + r1
342 0 : zout(2, j, nout2) = s1 - s2
343 : END DO; END DO
344 : ELSE
345 0 : nin1 = ia - after
346 0 : nout1 = ia - atn
347 0 : DO ib = 1, before
348 0 : nin1 = nin1 + after
349 0 : nin2 = nin1 + atb
350 0 : nout1 = nout1 + atn
351 0 : nout2 = nout1 + after
352 0 : DO j = 1, nfft
353 0 : r1 = zin(1, j, nin1)
354 0 : s1 = zin(2, j, nin1)
355 0 : r2 = zin(2, j, nin2)
356 0 : s2 = zin(1, j, nin2)
357 0 : zout(1, j, nout1) = r2 + r1
358 0 : zout(2, j, nout1) = s1 - s2
359 0 : zout(1, j, nout2) = r1 - r2
360 0 : zout(2, j, nout2) = s2 + s1
361 : END DO; END DO
362 : END IF
363 0 : ELSE IF (4*ias .EQ. after) THEN
364 0 : IF (isign .EQ. 1) THEN
365 0 : nin1 = ia - after
366 0 : nout1 = ia - atn
367 0 : DO ib = 1, before
368 0 : nin1 = nin1 + after
369 0 : nin2 = nin1 + atb
370 0 : nout1 = nout1 + atn
371 0 : nout2 = nout1 + after
372 0 : DO j = 1, nfft
373 0 : r1 = zin(1, j, nin1)
374 0 : s1 = zin(2, j, nin1)
375 0 : r = zin(1, j, nin2)
376 0 : s = zin(2, j, nin2)
377 0 : r2 = (r - s)*rt2i
378 0 : s2 = (r + s)*rt2i
379 0 : zout(1, j, nout1) = r2 + r1
380 0 : zout(2, j, nout1) = s2 + s1
381 0 : zout(1, j, nout2) = r1 - r2
382 0 : zout(2, j, nout2) = s1 - s2
383 : END DO; END DO
384 : ELSE
385 0 : nin1 = ia - after
386 0 : nout1 = ia - atn
387 0 : DO ib = 1, before
388 0 : nin1 = nin1 + after
389 0 : nin2 = nin1 + atb
390 0 : nout1 = nout1 + atn
391 0 : nout2 = nout1 + after
392 0 : DO j = 1, nfft
393 0 : r1 = zin(1, j, nin1)
394 0 : s1 = zin(2, j, nin1)
395 0 : r = zin(1, j, nin2)
396 0 : s = zin(2, j, nin2)
397 0 : r2 = (r + s)*rt2i
398 0 : s2 = (s - r)*rt2i
399 0 : zout(1, j, nout1) = r2 + r1
400 0 : zout(2, j, nout1) = s2 + s1
401 0 : zout(1, j, nout2) = r1 - r2
402 0 : zout(2, j, nout2) = s1 - s2
403 : END DO; END DO
404 : END IF
405 0 : ELSE IF (4*ias .EQ. 3*after) THEN
406 0 : IF (isign .EQ. 1) THEN
407 0 : nin1 = ia - after
408 0 : nout1 = ia - atn
409 0 : DO ib = 1, before
410 0 : nin1 = nin1 + after
411 0 : nin2 = nin1 + atb
412 0 : nout1 = nout1 + atn
413 0 : nout2 = nout1 + after
414 0 : DO j = 1, nfft
415 0 : r1 = zin(1, j, nin1)
416 0 : s1 = zin(2, j, nin1)
417 0 : r = zin(1, j, nin2)
418 0 : s = zin(2, j, nin2)
419 0 : r2 = (r + s)*rt2i
420 0 : s2 = (r - s)*rt2i
421 0 : zout(1, j, nout1) = r1 - r2
422 0 : zout(2, j, nout1) = s2 + s1
423 0 : zout(1, j, nout2) = r2 + r1
424 0 : zout(2, j, nout2) = s1 - s2
425 : END DO; END DO
426 : ELSE
427 0 : nin1 = ia - after
428 0 : nout1 = ia - atn
429 0 : DO ib = 1, before
430 0 : nin1 = nin1 + after
431 0 : nin2 = nin1 + atb
432 0 : nout1 = nout1 + atn
433 0 : nout2 = nout1 + after
434 0 : DO j = 1, nfft
435 0 : r1 = zin(1, j, nin1)
436 0 : s1 = zin(2, j, nin1)
437 0 : r = zin(1, j, nin2)
438 0 : s = zin(2, j, nin2)
439 0 : r2 = (s - r)*rt2i
440 0 : s2 = (r + s)*rt2i
441 0 : zout(1, j, nout1) = r2 + r1
442 0 : zout(2, j, nout1) = s1 - s2
443 0 : zout(1, j, nout2) = r1 - r2
444 0 : zout(2, j, nout2) = s2 + s1
445 : END DO; END DO
446 : END IF
447 : ELSE
448 0 : itrig = ias*before + 1
449 0 : cr2 = trig(1, itrig)
450 0 : ci2 = trig(2, itrig)
451 0 : nin1 = ia - after
452 0 : nout1 = ia - atn
453 0 : DO ib = 1, before
454 0 : nin1 = nin1 + after
455 0 : nin2 = nin1 + atb
456 0 : nout1 = nout1 + atn
457 0 : nout2 = nout1 + after
458 0 : DO j = 1, nfft
459 0 : r1 = zin(1, j, nin1)
460 0 : s1 = zin(2, j, nin1)
461 0 : r = zin(1, j, nin2)
462 0 : s = zin(2, j, nin2)
463 0 : r2 = r*cr2 - s*ci2
464 0 : s2 = r*ci2 + s*cr2
465 0 : zout(1, j, nout1) = r2 + r1
466 0 : zout(2, j, nout1) = s2 + s1
467 0 : zout(1, j, nout2) = r1 - r2
468 0 : zout(2, j, nout2) = s1 - s2
469 : END DO; END DO
470 : END IF
471 0 : 2000 CONTINUE
472 : ELSE IF (now .EQ. 4) THEN
473 4654496 : IF (isign .EQ. 1) THEN
474 2392012 : ia = 1
475 2392012 : nin1 = ia - after
476 2392012 : nout1 = ia - atn
477 23150635 : DO ib = 1, before
478 20758623 : nin1 = nin1 + after
479 20758623 : nin2 = nin1 + atb
480 20758623 : nin3 = nin2 + atb
481 20758623 : nin4 = nin3 + atb
482 20758623 : nout1 = nout1 + atn
483 20758623 : nout2 = nout1 + after
484 20758623 : nout3 = nout2 + after
485 20758623 : nout4 = nout3 + after
486 424946167 : DO j = 1, nfft
487 401795532 : r1 = zin(1, j, nin1)
488 401795532 : s1 = zin(2, j, nin1)
489 401795532 : r2 = zin(1, j, nin2)
490 401795532 : s2 = zin(2, j, nin2)
491 401795532 : r3 = zin(1, j, nin3)
492 401795532 : s3 = zin(2, j, nin3)
493 401795532 : r4 = zin(1, j, nin4)
494 401795532 : s4 = zin(2, j, nin4)
495 401795532 : r = r1 + r3
496 401795532 : s = r2 + r4
497 401795532 : zout(1, j, nout1) = r + s
498 401795532 : zout(1, j, nout3) = r - s
499 401795532 : r = r1 - r3
500 401795532 : s = s2 - s4
501 401795532 : zout(1, j, nout2) = r - s
502 401795532 : zout(1, j, nout4) = r + s
503 401795532 : r = s1 + s3
504 401795532 : s = s2 + s4
505 401795532 : zout(2, j, nout1) = r + s
506 401795532 : zout(2, j, nout3) = r - s
507 401795532 : r = s1 - s3
508 401795532 : s = r2 - r4
509 401795532 : zout(2, j, nout2) = r + s
510 422554155 : zout(2, j, nout4) = r - s
511 : END DO; END DO
512 25787644 : DO 4000, ia = 2, after
513 23395632 : ias = ia - 1
514 23395632 : IF (2*ias .EQ. after) THEN
515 957072 : nin1 = ia - after
516 957072 : nout1 = ia - atn
517 2203095 : DO ib = 1, before
518 1246023 : nin1 = nin1 + after
519 1246023 : nin2 = nin1 + atb
520 1246023 : nin3 = nin2 + atb
521 1246023 : nin4 = nin3 + atb
522 1246023 : nout1 = nout1 + atn
523 1246023 : nout2 = nout1 + after
524 1246023 : nout3 = nout2 + after
525 1246023 : nout4 = nout3 + after
526 25963285 : DO j = 1, nfft
527 23760190 : r1 = zin(1, j, nin1)
528 23760190 : s1 = zin(2, j, nin1)
529 23760190 : r = zin(1, j, nin2)
530 23760190 : s = zin(2, j, nin2)
531 23760190 : r2 = (r - s)*rt2i
532 23760190 : s2 = (r + s)*rt2i
533 23760190 : r3 = zin(2, j, nin3)
534 23760190 : s3 = zin(1, j, nin3)
535 23760190 : r = zin(1, j, nin4)
536 23760190 : s = zin(2, j, nin4)
537 23760190 : r4 = (r + s)*rt2i
538 23760190 : s4 = (r - s)*rt2i
539 23760190 : r = r1 - r3
540 23760190 : s = r2 - r4
541 23760190 : zout(1, j, nout1) = r + s
542 23760190 : zout(1, j, nout3) = r - s
543 23760190 : r = r1 + r3
544 23760190 : s = s2 - s4
545 23760190 : zout(1, j, nout2) = r - s
546 23760190 : zout(1, j, nout4) = r + s
547 23760190 : r = s1 + s3
548 23760190 : s = s2 + s4
549 23760190 : zout(2, j, nout1) = r + s
550 23760190 : zout(2, j, nout3) = r - s
551 23760190 : r = s1 - s3
552 23760190 : s = r2 + r4
553 23760190 : zout(2, j, nout2) = r + s
554 25006213 : zout(2, j, nout4) = r - s
555 : END DO; END DO
556 : ELSE
557 22438560 : itt = ias*before
558 22438560 : itrig = itt + 1
559 22438560 : cr2 = trig(1, itrig)
560 22438560 : ci2 = trig(2, itrig)
561 22438560 : itrig = itrig + itt
562 22438560 : cr3 = trig(1, itrig)
563 22438560 : ci3 = trig(2, itrig)
564 22438560 : itrig = itrig + itt
565 22438560 : cr4 = trig(1, itrig)
566 22438560 : ci4 = trig(2, itrig)
567 22438560 : nin1 = ia - after
568 22438560 : nout1 = ia - atn
569 53874882 : DO ib = 1, before
570 31436322 : nin1 = nin1 + after
571 31436322 : nin2 = nin1 + atb
572 31436322 : nin3 = nin2 + atb
573 31436322 : nin4 = nin3 + atb
574 31436322 : nout1 = nout1 + atn
575 31436322 : nout2 = nout1 + after
576 31436322 : nout3 = nout2 + after
577 31436322 : nout4 = nout3 + after
578 606416238 : DO j = 1, nfft
579 552541356 : r1 = zin(1, j, nin1)
580 552541356 : s1 = zin(2, j, nin1)
581 552541356 : r = zin(1, j, nin2)
582 552541356 : s = zin(2, j, nin2)
583 552541356 : r2 = r*cr2 - s*ci2
584 552541356 : s2 = r*ci2 + s*cr2
585 552541356 : r = zin(1, j, nin3)
586 552541356 : s = zin(2, j, nin3)
587 552541356 : r3 = r*cr3 - s*ci3
588 552541356 : s3 = r*ci3 + s*cr3
589 552541356 : r = zin(1, j, nin4)
590 552541356 : s = zin(2, j, nin4)
591 552541356 : r4 = r*cr4 - s*ci4
592 552541356 : s4 = r*ci4 + s*cr4
593 552541356 : r = r1 + r3
594 552541356 : s = r2 + r4
595 552541356 : zout(1, j, nout1) = r + s
596 552541356 : zout(1, j, nout3) = r - s
597 552541356 : r = r1 - r3
598 552541356 : s = s2 - s4
599 552541356 : zout(1, j, nout2) = r - s
600 552541356 : zout(1, j, nout4) = r + s
601 552541356 : r = s1 + s3
602 552541356 : s = s2 + s4
603 552541356 : zout(2, j, nout1) = r + s
604 552541356 : zout(2, j, nout3) = r - s
605 552541356 : r = s1 - s3
606 552541356 : s = r2 - r4
607 552541356 : zout(2, j, nout2) = r + s
608 583977678 : zout(2, j, nout4) = r - s
609 : END DO; END DO
610 : END IF
611 2392012 : 4000 CONTINUE
612 : ELSE
613 2262484 : ia = 1
614 2262484 : nin1 = ia - after
615 2262484 : nout1 = ia - atn
616 21915715 : DO ib = 1, before
617 19653231 : nin1 = nin1 + after
618 19653231 : nin2 = nin1 + atb
619 19653231 : nin3 = nin2 + atb
620 19653231 : nin4 = nin3 + atb
621 19653231 : nout1 = nout1 + atn
622 19653231 : nout2 = nout1 + after
623 19653231 : nout3 = nout2 + after
624 19653231 : nout4 = nout3 + after
625 403550459 : DO j = 1, nfft
626 381634744 : r1 = zin(1, j, nin1)
627 381634744 : s1 = zin(2, j, nin1)
628 381634744 : r2 = zin(1, j, nin2)
629 381634744 : s2 = zin(2, j, nin2)
630 381634744 : r3 = zin(1, j, nin3)
631 381634744 : s3 = zin(2, j, nin3)
632 381634744 : r4 = zin(1, j, nin4)
633 381634744 : s4 = zin(2, j, nin4)
634 381634744 : r = r1 + r3
635 381634744 : s = r2 + r4
636 381634744 : zout(1, j, nout1) = r + s
637 381634744 : zout(1, j, nout3) = r - s
638 381634744 : r = r1 - r3
639 381634744 : s = s2 - s4
640 381634744 : zout(1, j, nout2) = r + s
641 381634744 : zout(1, j, nout4) = r - s
642 381634744 : r = s1 + s3
643 381634744 : s = s2 + s4
644 381634744 : zout(2, j, nout1) = r + s
645 381634744 : zout(2, j, nout3) = r - s
646 381634744 : r = s1 - s3
647 381634744 : s = r2 - r4
648 381634744 : zout(2, j, nout2) = r - s
649 401287975 : zout(2, j, nout4) = r + s
650 : END DO; END DO
651 23815531 : DO 4100, ia = 2, after
652 21553047 : ias = ia - 1
653 21553047 : IF (2*ias .EQ. after) THEN
654 893205 : nin1 = ia - after
655 893205 : nout1 = ia - atn
656 2034540 : DO ib = 1, before
657 1141335 : nin1 = nin1 + after
658 1141335 : nin2 = nin1 + atb
659 1141335 : nin3 = nin2 + atb
660 1141335 : nin4 = nin3 + atb
661 1141335 : nout1 = nout1 + atn
662 1141335 : nout2 = nout1 + after
663 1141335 : nout3 = nout2 + after
664 1141335 : nout4 = nout3 + after
665 23892604 : DO j = 1, nfft
666 21858064 : r1 = zin(1, j, nin1)
667 21858064 : s1 = zin(2, j, nin1)
668 21858064 : r = zin(1, j, nin2)
669 21858064 : s = zin(2, j, nin2)
670 21858064 : r2 = (r + s)*rt2i
671 21858064 : s2 = (s - r)*rt2i
672 21858064 : r3 = zin(2, j, nin3)
673 21858064 : s3 = zin(1, j, nin3)
674 21858064 : r = zin(1, j, nin4)
675 21858064 : s = zin(2, j, nin4)
676 21858064 : r4 = (s - r)*rt2i
677 21858064 : s4 = (r + s)*rt2i
678 21858064 : r = r1 + r3
679 21858064 : s = r2 + r4
680 21858064 : zout(1, j, nout1) = r + s
681 21858064 : zout(1, j, nout3) = r - s
682 21858064 : r = r1 - r3
683 21858064 : s = s2 + s4
684 21858064 : zout(1, j, nout2) = r + s
685 21858064 : zout(1, j, nout4) = r - s
686 21858064 : r = s1 - s3
687 21858064 : s = s2 - s4
688 21858064 : zout(2, j, nout1) = r + s
689 21858064 : zout(2, j, nout3) = r - s
690 21858064 : r = s1 + s3
691 21858064 : s = r2 - r4
692 21858064 : zout(2, j, nout2) = r - s
693 22999399 : zout(2, j, nout4) = r + s
694 : END DO; END DO
695 : ELSE
696 20659842 : itt = ias*before
697 20659842 : itrig = itt + 1
698 20659842 : cr2 = trig(1, itrig)
699 20659842 : ci2 = trig(2, itrig)
700 20659842 : itrig = itrig + itt
701 20659842 : cr3 = trig(1, itrig)
702 20659842 : ci3 = trig(2, itrig)
703 20659842 : itrig = itrig + itt
704 20659842 : cr4 = trig(1, itrig)
705 20659842 : ci4 = trig(2, itrig)
706 20659842 : nin1 = ia - after
707 20659842 : nout1 = ia - atn
708 49808808 : DO ib = 1, before
709 29148966 : nin1 = nin1 + after
710 29148966 : nin2 = nin1 + atb
711 29148966 : nin3 = nin2 + atb
712 29148966 : nin4 = nin3 + atb
713 29148966 : nout1 = nout1 + atn
714 29148966 : nout2 = nout1 + after
715 29148966 : nout3 = nout2 + after
716 29148966 : nout4 = nout3 + after
717 568425672 : DO j = 1, nfft
718 518616864 : r1 = zin(1, j, nin1)
719 518616864 : s1 = zin(2, j, nin1)
720 518616864 : r = zin(1, j, nin2)
721 518616864 : s = zin(2, j, nin2)
722 518616864 : r2 = r*cr2 - s*ci2
723 518616864 : s2 = r*ci2 + s*cr2
724 518616864 : r = zin(1, j, nin3)
725 518616864 : s = zin(2, j, nin3)
726 518616864 : r3 = r*cr3 - s*ci3
727 518616864 : s3 = r*ci3 + s*cr3
728 518616864 : r = zin(1, j, nin4)
729 518616864 : s = zin(2, j, nin4)
730 518616864 : r4 = r*cr4 - s*ci4
731 518616864 : s4 = r*ci4 + s*cr4
732 518616864 : r = r1 + r3
733 518616864 : s = r2 + r4
734 518616864 : zout(1, j, nout1) = r + s
735 518616864 : zout(1, j, nout3) = r - s
736 518616864 : r = r1 - r3
737 518616864 : s = s2 - s4
738 518616864 : zout(1, j, nout2) = r + s
739 518616864 : zout(1, j, nout4) = r - s
740 518616864 : r = s1 + s3
741 518616864 : s = s2 + s4
742 518616864 : zout(2, j, nout1) = r + s
743 518616864 : zout(2, j, nout3) = r - s
744 518616864 : r = s1 - s3
745 518616864 : s = r2 - r4
746 518616864 : zout(2, j, nout2) = r - s
747 547765830 : zout(2, j, nout4) = r + s
748 : END DO; END DO
749 : END IF
750 2262484 : 4100 CONTINUE
751 : END IF
752 : ELSE IF (now .EQ. 8) THEN
753 2370925 : IF (isign .EQ. -1) THEN
754 1138842 : ia = 1
755 1138842 : nin1 = ia - after
756 1138842 : nout1 = ia - atn
757 10281368 : DO ib = 1, before
758 9142526 : nin1 = nin1 + after
759 9142526 : nin2 = nin1 + atb
760 9142526 : nin3 = nin2 + atb
761 9142526 : nin4 = nin3 + atb
762 9142526 : nin5 = nin4 + atb
763 9142526 : nin6 = nin5 + atb
764 9142526 : nin7 = nin6 + atb
765 9142526 : nin8 = nin7 + atb
766 9142526 : nout1 = nout1 + atn
767 9142526 : nout2 = nout1 + after
768 9142526 : nout3 = nout2 + after
769 9142526 : nout4 = nout3 + after
770 9142526 : nout5 = nout4 + after
771 9142526 : nout6 = nout5 + after
772 9142526 : nout7 = nout6 + after
773 9142526 : nout8 = nout7 + after
774 170670092 : DO j = 1, nfft
775 160388724 : r1 = zin(1, j, nin1)
776 160388724 : s1 = zin(2, j, nin1)
777 160388724 : r2 = zin(1, j, nin2)
778 160388724 : s2 = zin(2, j, nin2)
779 160388724 : r3 = zin(1, j, nin3)
780 160388724 : s3 = zin(2, j, nin3)
781 160388724 : r4 = zin(1, j, nin4)
782 160388724 : s4 = zin(2, j, nin4)
783 160388724 : r5 = zin(1, j, nin5)
784 160388724 : s5 = zin(2, j, nin5)
785 160388724 : r6 = zin(1, j, nin6)
786 160388724 : s6 = zin(2, j, nin6)
787 160388724 : r7 = zin(1, j, nin7)
788 160388724 : s7 = zin(2, j, nin7)
789 160388724 : r8 = zin(1, j, nin8)
790 160388724 : s8 = zin(2, j, nin8)
791 160388724 : r = r1 + r5
792 160388724 : s = r3 + r7
793 160388724 : ap = r + s
794 160388724 : am = r - s
795 160388724 : r = r2 + r6
796 160388724 : s = r4 + r8
797 160388724 : bp = r + s
798 160388724 : bm = r - s
799 160388724 : r = s1 + s5
800 160388724 : s = s3 + s7
801 160388724 : cp = r + s
802 160388724 : cm = r - s
803 160388724 : r = s2 + s6
804 160388724 : s = s4 + s8
805 160388724 : dpp = r + s
806 160388724 : dm = r - s
807 160388724 : zout(1, j, nout1) = ap + bp
808 160388724 : zout(2, j, nout1) = cp + dpp
809 160388724 : zout(1, j, nout5) = ap - bp
810 160388724 : zout(2, j, nout5) = cp - dpp
811 160388724 : zout(1, j, nout3) = am + dm
812 160388724 : zout(2, j, nout3) = cm - bm
813 160388724 : zout(1, j, nout7) = am - dm
814 160388724 : zout(2, j, nout7) = cm + bm
815 160388724 : r = r1 - r5
816 160388724 : s = s3 - s7
817 160388724 : ap = r + s
818 160388724 : am = r - s
819 160388724 : r = s1 - s5
820 160388724 : s = r3 - r7
821 160388724 : bp = r + s
822 160388724 : bm = r - s
823 160388724 : r = s4 - s8
824 160388724 : s = r2 - r6
825 160388724 : cp = r + s
826 160388724 : cm = r - s
827 160388724 : r = s2 - s6
828 160388724 : s = r4 - r8
829 160388724 : dpp = r + s
830 160388724 : dm = r - s
831 160388724 : r = (cp + dm)*rt2i
832 160388724 : s = (dm - cp)*rt2i
833 160388724 : cp = (cm + dpp)*rt2i
834 160388724 : dpp = (cm - dpp)*rt2i
835 160388724 : zout(1, j, nout2) = ap + r
836 160388724 : zout(2, j, nout2) = bm + s
837 160388724 : zout(1, j, nout6) = ap - r
838 160388724 : zout(2, j, nout6) = bm - s
839 160388724 : zout(1, j, nout4) = am + cp
840 160388724 : zout(2, j, nout4) = bp + dpp
841 160388724 : zout(1, j, nout8) = am - cp
842 169531250 : zout(2, j, nout8) = bp - dpp
843 : END DO; END DO
844 3403291 : DO 8000, ia = 2, after
845 2264449 : ias = ia - 1
846 2264449 : itt = ias*before
847 2264449 : itrig = itt + 1
848 2264449 : cr2 = trig(1, itrig)
849 2264449 : ci2 = trig(2, itrig)
850 2264449 : itrig = itrig + itt
851 2264449 : cr3 = trig(1, itrig)
852 2264449 : ci3 = trig(2, itrig)
853 2264449 : itrig = itrig + itt
854 2264449 : cr4 = trig(1, itrig)
855 2264449 : ci4 = trig(2, itrig)
856 2264449 : itrig = itrig + itt
857 2264449 : cr5 = trig(1, itrig)
858 2264449 : ci5 = trig(2, itrig)
859 2264449 : itrig = itrig + itt
860 2264449 : cr6 = trig(1, itrig)
861 2264449 : ci6 = trig(2, itrig)
862 2264449 : itrig = itrig + itt
863 2264449 : cr7 = trig(1, itrig)
864 2264449 : ci7 = trig(2, itrig)
865 2264449 : itrig = itrig + itt
866 2264449 : cr8 = trig(1, itrig)
867 2264449 : ci8 = trig(2, itrig)
868 2264449 : nin1 = ia - after
869 2264449 : nout1 = ia - atn
870 8897068 : DO ib = 1, before
871 6632619 : nin1 = nin1 + after
872 6632619 : nin2 = nin1 + atb
873 6632619 : nin3 = nin2 + atb
874 6632619 : nin4 = nin3 + atb
875 6632619 : nin5 = nin4 + atb
876 6632619 : nin6 = nin5 + atb
877 6632619 : nin7 = nin6 + atb
878 6632619 : nin8 = nin7 + atb
879 6632619 : nout1 = nout1 + atn
880 6632619 : nout2 = nout1 + after
881 6632619 : nout3 = nout2 + after
882 6632619 : nout4 = nout3 + after
883 6632619 : nout5 = nout4 + after
884 6632619 : nout6 = nout5 + after
885 6632619 : nout7 = nout6 + after
886 6632619 : nout8 = nout7 + after
887 90258676 : DO j = 1, nfft
888 81361608 : r1 = zin(1, j, nin1)
889 81361608 : s1 = zin(2, j, nin1)
890 81361608 : r = zin(1, j, nin2)
891 81361608 : s = zin(2, j, nin2)
892 81361608 : r2 = r*cr2 - s*ci2
893 81361608 : s2 = r*ci2 + s*cr2
894 81361608 : r = zin(1, j, nin3)
895 81361608 : s = zin(2, j, nin3)
896 81361608 : r3 = r*cr3 - s*ci3
897 81361608 : s3 = r*ci3 + s*cr3
898 81361608 : r = zin(1, j, nin4)
899 81361608 : s = zin(2, j, nin4)
900 81361608 : r4 = r*cr4 - s*ci4
901 81361608 : s4 = r*ci4 + s*cr4
902 81361608 : r = zin(1, j, nin5)
903 81361608 : s = zin(2, j, nin5)
904 81361608 : r5 = r*cr5 - s*ci5
905 81361608 : s5 = r*ci5 + s*cr5
906 81361608 : r = zin(1, j, nin6)
907 81361608 : s = zin(2, j, nin6)
908 81361608 : r6 = r*cr6 - s*ci6
909 81361608 : s6 = r*ci6 + s*cr6
910 81361608 : r = zin(1, j, nin7)
911 81361608 : s = zin(2, j, nin7)
912 81361608 : r7 = r*cr7 - s*ci7
913 81361608 : s7 = r*ci7 + s*cr7
914 81361608 : r = zin(1, j, nin8)
915 81361608 : s = zin(2, j, nin8)
916 81361608 : r8 = r*cr8 - s*ci8
917 81361608 : s8 = r*ci8 + s*cr8
918 81361608 : r = r1 + r5
919 81361608 : s = r3 + r7
920 81361608 : ap = r + s
921 81361608 : am = r - s
922 81361608 : r = r2 + r6
923 81361608 : s = r4 + r8
924 81361608 : bp = r + s
925 81361608 : bm = r - s
926 81361608 : r = s1 + s5
927 81361608 : s = s3 + s7
928 81361608 : cp = r + s
929 81361608 : cm = r - s
930 81361608 : r = s2 + s6
931 81361608 : s = s4 + s8
932 81361608 : dpp = r + s
933 81361608 : dm = r - s
934 81361608 : zout(1, j, nout1) = ap + bp
935 81361608 : zout(2, j, nout1) = cp + dpp
936 81361608 : zout(1, j, nout5) = ap - bp
937 81361608 : zout(2, j, nout5) = cp - dpp
938 81361608 : zout(1, j, nout3) = am + dm
939 81361608 : zout(2, j, nout3) = cm - bm
940 81361608 : zout(1, j, nout7) = am - dm
941 81361608 : zout(2, j, nout7) = cm + bm
942 81361608 : r = r1 - r5
943 81361608 : s = s3 - s7
944 81361608 : ap = r + s
945 81361608 : am = r - s
946 81361608 : r = s1 - s5
947 81361608 : s = r3 - r7
948 81361608 : bp = r + s
949 81361608 : bm = r - s
950 81361608 : r = s4 - s8
951 81361608 : s = r2 - r6
952 81361608 : cp = r + s
953 81361608 : cm = r - s
954 81361608 : r = s2 - s6
955 81361608 : s = r4 - r8
956 81361608 : dpp = r + s
957 81361608 : dm = r - s
958 81361608 : r = (cp + dm)*rt2i
959 81361608 : s = (dm - cp)*rt2i
960 81361608 : cp = (cm + dpp)*rt2i
961 81361608 : dpp = (cm - dpp)*rt2i
962 81361608 : zout(1, j, nout2) = ap + r
963 81361608 : zout(2, j, nout2) = bm + s
964 81361608 : zout(1, j, nout6) = ap - r
965 81361608 : zout(2, j, nout6) = bm - s
966 81361608 : zout(1, j, nout4) = am + cp
967 81361608 : zout(2, j, nout4) = bp + dpp
968 81361608 : zout(1, j, nout8) = am - cp
969 87994227 : zout(2, j, nout8) = bp - dpp
970 : END DO; END DO
971 1138842 : 8000 CONTINUE
972 :
973 : ELSE
974 1232083 : ia = 1
975 1232083 : nin1 = ia - after
976 1232083 : nout1 = ia - atn
977 11367763 : DO ib = 1, before
978 10135680 : nin1 = nin1 + after
979 10135680 : nin2 = nin1 + atb
980 10135680 : nin3 = nin2 + atb
981 10135680 : nin4 = nin3 + atb
982 10135680 : nin5 = nin4 + atb
983 10135680 : nin6 = nin5 + atb
984 10135680 : nin7 = nin6 + atb
985 10135680 : nin8 = nin7 + atb
986 10135680 : nout1 = nout1 + atn
987 10135680 : nout2 = nout1 + after
988 10135680 : nout3 = nout2 + after
989 10135680 : nout4 = nout3 + after
990 10135680 : nout5 = nout4 + after
991 10135680 : nout6 = nout5 + after
992 10135680 : nout7 = nout6 + after
993 10135680 : nout8 = nout7 + after
994 186656682 : DO j = 1, nfft
995 175288919 : r1 = zin(1, j, nin1)
996 175288919 : s1 = zin(2, j, nin1)
997 175288919 : r2 = zin(1, j, nin2)
998 175288919 : s2 = zin(2, j, nin2)
999 175288919 : r3 = zin(1, j, nin3)
1000 175288919 : s3 = zin(2, j, nin3)
1001 175288919 : r4 = zin(1, j, nin4)
1002 175288919 : s4 = zin(2, j, nin4)
1003 175288919 : r5 = zin(1, j, nin5)
1004 175288919 : s5 = zin(2, j, nin5)
1005 175288919 : r6 = zin(1, j, nin6)
1006 175288919 : s6 = zin(2, j, nin6)
1007 175288919 : r7 = zin(1, j, nin7)
1008 175288919 : s7 = zin(2, j, nin7)
1009 175288919 : r8 = zin(1, j, nin8)
1010 175288919 : s8 = zin(2, j, nin8)
1011 175288919 : r = r1 + r5
1012 175288919 : s = r3 + r7
1013 175288919 : ap = r + s
1014 175288919 : am = r - s
1015 175288919 : r = r2 + r6
1016 175288919 : s = r4 + r8
1017 175288919 : bp = r + s
1018 175288919 : bm = r - s
1019 175288919 : r = s1 + s5
1020 175288919 : s = s3 + s7
1021 175288919 : cp = r + s
1022 175288919 : cm = r - s
1023 175288919 : r = s2 + s6
1024 175288919 : s = s4 + s8
1025 175288919 : dpp = r + s
1026 175288919 : dm = r - s
1027 175288919 : zout(1, j, nout1) = ap + bp
1028 175288919 : zout(2, j, nout1) = cp + dpp
1029 175288919 : zout(1, j, nout5) = ap - bp
1030 175288919 : zout(2, j, nout5) = cp - dpp
1031 175288919 : zout(1, j, nout3) = am - dm
1032 175288919 : zout(2, j, nout3) = cm + bm
1033 175288919 : zout(1, j, nout7) = am + dm
1034 175288919 : zout(2, j, nout7) = cm - bm
1035 175288919 : r = r1 - r5
1036 175288919 : s = -s3 + s7
1037 175288919 : ap = r + s
1038 175288919 : am = r - s
1039 175288919 : r = s1 - s5
1040 175288919 : s = r7 - r3
1041 175288919 : bp = r + s
1042 175288919 : bm = r - s
1043 175288919 : r = -s4 + s8
1044 175288919 : s = r2 - r6
1045 175288919 : cp = r + s
1046 175288919 : cm = r - s
1047 175288919 : r = -s2 + s6
1048 175288919 : s = r4 - r8
1049 175288919 : dpp = r + s
1050 175288919 : dm = r - s
1051 175288919 : r = (cp + dm)*rt2i
1052 175288919 : s = (cp - dm)*rt2i
1053 175288919 : cp = (cm + dpp)*rt2i
1054 175288919 : dpp = (dpp - cm)*rt2i
1055 175288919 : zout(1, j, nout2) = ap + r
1056 175288919 : zout(2, j, nout2) = bm + s
1057 175288919 : zout(1, j, nout6) = ap - r
1058 175288919 : zout(2, j, nout6) = bm - s
1059 175288919 : zout(1, j, nout4) = am + cp
1060 175288919 : zout(2, j, nout4) = bp + dpp
1061 175288919 : zout(1, j, nout8) = am - cp
1062 185424599 : zout(2, j, nout8) = bp - dpp
1063 : END DO; END DO
1064 :
1065 3686860 : DO 8001, ia = 2, after
1066 2454777 : ias = ia - 1
1067 2454777 : itt = ias*before
1068 2454777 : itrig = itt + 1
1069 2454777 : cr2 = trig(1, itrig)
1070 2454777 : ci2 = trig(2, itrig)
1071 2454777 : itrig = itrig + itt
1072 2454777 : cr3 = trig(1, itrig)
1073 2454777 : ci3 = trig(2, itrig)
1074 2454777 : itrig = itrig + itt
1075 2454777 : cr4 = trig(1, itrig)
1076 2454777 : ci4 = trig(2, itrig)
1077 2454777 : itrig = itrig + itt
1078 2454777 : cr5 = trig(1, itrig)
1079 2454777 : ci5 = trig(2, itrig)
1080 2454777 : itrig = itrig + itt
1081 2454777 : cr6 = trig(1, itrig)
1082 2454777 : ci6 = trig(2, itrig)
1083 2454777 : itrig = itrig + itt
1084 2454777 : cr7 = trig(1, itrig)
1085 2454777 : ci7 = trig(2, itrig)
1086 2454777 : itrig = itrig + itt
1087 2454777 : cr8 = trig(1, itrig)
1088 2454777 : ci8 = trig(2, itrig)
1089 2454777 : nin1 = ia - after
1090 2454777 : nout1 = ia - atn
1091 9735776 : DO ib = 1, before
1092 7280999 : nin1 = nin1 + after
1093 7280999 : nin2 = nin1 + atb
1094 7280999 : nin3 = nin2 + atb
1095 7280999 : nin4 = nin3 + atb
1096 7280999 : nin5 = nin4 + atb
1097 7280999 : nin6 = nin5 + atb
1098 7280999 : nin7 = nin6 + atb
1099 7280999 : nin8 = nin7 + atb
1100 7280999 : nout1 = nout1 + atn
1101 7280999 : nout2 = nout1 + after
1102 7280999 : nout3 = nout2 + after
1103 7280999 : nout4 = nout3 + after
1104 7280999 : nout5 = nout4 + after
1105 7280999 : nout6 = nout5 + after
1106 7280999 : nout7 = nout6 + after
1107 7280999 : nout8 = nout7 + after
1108 97629422 : DO j = 1, nfft
1109 87893646 : r1 = zin(1, j, nin1)
1110 87893646 : s1 = zin(2, j, nin1)
1111 87893646 : r = zin(1, j, nin2)
1112 87893646 : s = zin(2, j, nin2)
1113 87893646 : r2 = r*cr2 - s*ci2
1114 87893646 : s2 = r*ci2 + s*cr2
1115 87893646 : r = zin(1, j, nin3)
1116 87893646 : s = zin(2, j, nin3)
1117 87893646 : r3 = r*cr3 - s*ci3
1118 87893646 : s3 = r*ci3 + s*cr3
1119 87893646 : r = zin(1, j, nin4)
1120 87893646 : s = zin(2, j, nin4)
1121 87893646 : r4 = r*cr4 - s*ci4
1122 87893646 : s4 = r*ci4 + s*cr4
1123 87893646 : r = zin(1, j, nin5)
1124 87893646 : s = zin(2, j, nin5)
1125 87893646 : r5 = r*cr5 - s*ci5
1126 87893646 : s5 = r*ci5 + s*cr5
1127 87893646 : r = zin(1, j, nin6)
1128 87893646 : s = zin(2, j, nin6)
1129 87893646 : r6 = r*cr6 - s*ci6
1130 87893646 : s6 = r*ci6 + s*cr6
1131 87893646 : r = zin(1, j, nin7)
1132 87893646 : s = zin(2, j, nin7)
1133 87893646 : r7 = r*cr7 - s*ci7
1134 87893646 : s7 = r*ci7 + s*cr7
1135 87893646 : r = zin(1, j, nin8)
1136 87893646 : s = zin(2, j, nin8)
1137 87893646 : r8 = r*cr8 - s*ci8
1138 87893646 : s8 = r*ci8 + s*cr8
1139 87893646 : r = r1 + r5
1140 87893646 : s = r3 + r7
1141 87893646 : ap = r + s
1142 87893646 : am = r - s
1143 87893646 : r = r2 + r6
1144 87893646 : s = r4 + r8
1145 87893646 : bp = r + s
1146 87893646 : bm = r - s
1147 87893646 : r = s1 + s5
1148 87893646 : s = s3 + s7
1149 87893646 : cp = r + s
1150 87893646 : cm = r - s
1151 87893646 : r = s2 + s6
1152 87893646 : s = s4 + s8
1153 87893646 : dpp = r + s
1154 87893646 : dm = r - s
1155 87893646 : zout(1, j, nout1) = ap + bp
1156 87893646 : zout(2, j, nout1) = cp + dpp
1157 87893646 : zout(1, j, nout5) = ap - bp
1158 87893646 : zout(2, j, nout5) = cp - dpp
1159 87893646 : zout(1, j, nout3) = am - dm
1160 87893646 : zout(2, j, nout3) = cm + bm
1161 87893646 : zout(1, j, nout7) = am + dm
1162 87893646 : zout(2, j, nout7) = cm - bm
1163 87893646 : r = r1 - r5
1164 87893646 : s = -s3 + s7
1165 87893646 : ap = r + s
1166 87893646 : am = r - s
1167 87893646 : r = s1 - s5
1168 87893646 : s = r7 - r3
1169 87893646 : bp = r + s
1170 87893646 : bm = r - s
1171 87893646 : r = -s4 + s8
1172 87893646 : s = r2 - r6
1173 87893646 : cp = r + s
1174 87893646 : cm = r - s
1175 87893646 : r = -s2 + s6
1176 87893646 : s = r4 - r8
1177 87893646 : dpp = r + s
1178 87893646 : dm = r - s
1179 87893646 : r = (cp + dm)*rt2i
1180 87893646 : s = (cp - dm)*rt2i
1181 87893646 : cp = (cm + dpp)*rt2i
1182 87893646 : dpp = (dpp - cm)*rt2i
1183 87893646 : zout(1, j, nout2) = ap + r
1184 87893646 : zout(2, j, nout2) = bm + s
1185 87893646 : zout(1, j, nout6) = ap - r
1186 87893646 : zout(2, j, nout6) = bm - s
1187 87893646 : zout(1, j, nout4) = am + cp
1188 87893646 : zout(2, j, nout4) = bp + dpp
1189 87893646 : zout(1, j, nout8) = am - cp
1190 95174645 : zout(2, j, nout8) = bp - dpp
1191 : END DO; END DO
1192 1232083 : 8001 CONTINUE
1193 :
1194 : END IF
1195 : ELSE IF (now .EQ. 3) THEN
1196 : ! .5_dp*sqrt(3._dp)
1197 8822080 : bb = isign*0.8660254037844387_dp
1198 8822080 : ia = 1
1199 8822080 : nin1 = ia - after
1200 8822080 : nout1 = ia - atn
1201 32127054 : DO ib = 1, before
1202 23304974 : nin1 = nin1 + after
1203 23304974 : nin2 = nin1 + atb
1204 23304974 : nin3 = nin2 + atb
1205 23304974 : nout1 = nout1 + atn
1206 23304974 : nout2 = nout1 + after
1207 23304974 : nout3 = nout2 + after
1208 486041226 : DO j = 1, nfft
1209 453914172 : r1 = zin(1, j, nin1)
1210 453914172 : s1 = zin(2, j, nin1)
1211 453914172 : r2 = zin(1, j, nin2)
1212 453914172 : s2 = zin(2, j, nin2)
1213 453914172 : r3 = zin(1, j, nin3)
1214 453914172 : s3 = zin(2, j, nin3)
1215 453914172 : r = r2 + r3
1216 453914172 : s = s2 + s3
1217 453914172 : zout(1, j, nout1) = r + r1
1218 453914172 : zout(2, j, nout1) = s + s1
1219 453914172 : r1 = r1 - .5_dp*r
1220 453914172 : s1 = s1 - .5_dp*s
1221 453914172 : r2 = bb*(r2 - r3)
1222 453914172 : s2 = bb*(s2 - s3)
1223 453914172 : zout(1, j, nout2) = r1 - s2
1224 453914172 : zout(2, j, nout2) = s1 + r2
1225 453914172 : zout(1, j, nout3) = r1 + s2
1226 477219146 : zout(2, j, nout3) = s1 - r2
1227 : END DO; END DO
1228 161239138 : DO 3000, ia = 2, after
1229 152417058 : ias = ia - 1
1230 152417058 : IF (4*ias .EQ. 3*after) THEN
1231 5748155 : IF (isign .EQ. 1) THEN
1232 2952637 : nin1 = ia - after
1233 2952637 : nout1 = ia - atn
1234 12048744 : DO ib = 1, before
1235 9096107 : nin1 = nin1 + after
1236 9096107 : nin2 = nin1 + atb
1237 9096107 : nin3 = nin2 + atb
1238 9096107 : nout1 = nout1 + atn
1239 9096107 : nout2 = nout1 + after
1240 9096107 : nout3 = nout2 + after
1241 185912668 : DO j = 1, nfft
1242 173863924 : r1 = zin(1, j, nin1)
1243 173863924 : s1 = zin(2, j, nin1)
1244 173863924 : r2 = zin(2, j, nin2)
1245 173863924 : s2 = zin(1, j, nin2)
1246 173863924 : r3 = zin(1, j, nin3)
1247 173863924 : s3 = zin(2, j, nin3)
1248 173863924 : r = r3 + r2
1249 173863924 : s = s2 - s3
1250 173863924 : zout(1, j, nout1) = r1 - r
1251 173863924 : zout(2, j, nout1) = s + s1
1252 173863924 : r1 = r1 + .5_dp*r
1253 173863924 : s1 = s1 - .5_dp*s
1254 173863924 : r2 = bb*(r2 - r3)
1255 173863924 : s2 = bb*(s2 + s3)
1256 173863924 : zout(1, j, nout2) = r1 - s2
1257 173863924 : zout(2, j, nout2) = s1 - r2
1258 173863924 : zout(1, j, nout3) = r1 + s2
1259 182960031 : zout(2, j, nout3) = s1 + r2
1260 : END DO; END DO
1261 : ELSE
1262 2795518 : nin1 = ia - after
1263 2795518 : nout1 = ia - atn
1264 11402190 : DO ib = 1, before
1265 8606672 : nin1 = nin1 + after
1266 8606672 : nin2 = nin1 + atb
1267 8606672 : nin3 = nin2 + atb
1268 8606672 : nout1 = nout1 + atn
1269 8606672 : nout2 = nout1 + after
1270 8606672 : nout3 = nout2 + after
1271 176557398 : DO j = 1, nfft
1272 165155208 : r1 = zin(1, j, nin1)
1273 165155208 : s1 = zin(2, j, nin1)
1274 165155208 : r2 = zin(2, j, nin2)
1275 165155208 : s2 = zin(1, j, nin2)
1276 165155208 : r3 = zin(1, j, nin3)
1277 165155208 : s3 = zin(2, j, nin3)
1278 165155208 : r = r2 - r3
1279 165155208 : s = s2 + s3
1280 165155208 : zout(1, j, nout1) = r + r1
1281 165155208 : zout(2, j, nout1) = s1 - s
1282 165155208 : r1 = r1 - .5_dp*r
1283 165155208 : s1 = s1 + .5_dp*s
1284 165155208 : r2 = bb*(r2 + r3)
1285 165155208 : s2 = bb*(s2 - s3)
1286 165155208 : zout(1, j, nout2) = r1 + s2
1287 165155208 : zout(2, j, nout2) = s1 + r2
1288 165155208 : zout(1, j, nout3) = r1 - s2
1289 173761880 : zout(2, j, nout3) = s1 - r2
1290 : END DO; END DO
1291 : END IF
1292 146668903 : ELSE IF (8*ias .EQ. 3*after) THEN
1293 1923847 : IF (isign .EQ. 1) THEN
1294 989813 : nin1 = ia - after
1295 989813 : nout1 = ia - atn
1296 2390472 : DO ib = 1, before
1297 1400659 : nin1 = nin1 + after
1298 1400659 : nin2 = nin1 + atb
1299 1400659 : nin3 = nin2 + atb
1300 1400659 : nout1 = nout1 + atn
1301 1400659 : nout2 = nout1 + after
1302 1400659 : nout3 = nout2 + after
1303 30069358 : DO j = 1, nfft
1304 27678886 : r1 = zin(1, j, nin1)
1305 27678886 : s1 = zin(2, j, nin1)
1306 27678886 : r = zin(1, j, nin2)
1307 27678886 : s = zin(2, j, nin2)
1308 27678886 : r2 = (r - s)*rt2i
1309 27678886 : s2 = (r + s)*rt2i
1310 27678886 : r3 = zin(2, j, nin3)
1311 27678886 : s3 = zin(1, j, nin3)
1312 27678886 : r = r2 - r3
1313 27678886 : s = s2 + s3
1314 27678886 : zout(1, j, nout1) = r + r1
1315 27678886 : zout(2, j, nout1) = s + s1
1316 27678886 : r1 = r1 - .5_dp*r
1317 27678886 : s1 = s1 - .5_dp*s
1318 27678886 : r2 = bb*(r2 + r3)
1319 27678886 : s2 = bb*(s2 - s3)
1320 27678886 : zout(1, j, nout2) = r1 - s2
1321 27678886 : zout(2, j, nout2) = s1 + r2
1322 27678886 : zout(1, j, nout3) = r1 + s2
1323 29079545 : zout(2, j, nout3) = s1 - r2
1324 : END DO; END DO
1325 : ELSE
1326 934034 : nin1 = ia - after
1327 934034 : nout1 = ia - atn
1328 2251518 : DO ib = 1, before
1329 1317484 : nin1 = nin1 + after
1330 1317484 : nin2 = nin1 + atb
1331 1317484 : nin3 = nin2 + atb
1332 1317484 : nout1 = nout1 + atn
1333 1317484 : nout2 = nout1 + after
1334 1317484 : nout3 = nout2 + after
1335 28168446 : DO j = 1, nfft
1336 25916928 : r1 = zin(1, j, nin1)
1337 25916928 : s1 = zin(2, j, nin1)
1338 25916928 : r = zin(1, j, nin2)
1339 25916928 : s = zin(2, j, nin2)
1340 25916928 : r2 = (r + s)*rt2i
1341 25916928 : s2 = (s - r)*rt2i
1342 25916928 : r3 = zin(2, j, nin3)
1343 25916928 : s3 = zin(1, j, nin3)
1344 25916928 : r = r2 + r3
1345 25916928 : s = s2 - s3
1346 25916928 : zout(1, j, nout1) = r + r1
1347 25916928 : zout(2, j, nout1) = s + s1
1348 25916928 : r1 = r1 - .5_dp*r
1349 25916928 : s1 = s1 - .5_dp*s
1350 25916928 : r2 = bb*(r2 - r3)
1351 25916928 : s2 = bb*(s2 + s3)
1352 25916928 : zout(1, j, nout2) = r1 - s2
1353 25916928 : zout(2, j, nout2) = s1 + r2
1354 25916928 : zout(1, j, nout3) = r1 + s2
1355 27234412 : zout(2, j, nout3) = s1 - r2
1356 : END DO; END DO
1357 : END IF
1358 : ELSE
1359 144745056 : itt = ias*before
1360 144745056 : itrig = itt + 1
1361 144745056 : cr2 = trig(1, itrig)
1362 144745056 : ci2 = trig(2, itrig)
1363 144745056 : itrig = itrig + itt
1364 144745056 : cr3 = trig(1, itrig)
1365 144745056 : ci3 = trig(2, itrig)
1366 144745056 : nin1 = ia - after
1367 144745056 : nout1 = ia - atn
1368 347838562 : DO ib = 1, before
1369 203093506 : nin1 = nin1 + after
1370 203093506 : nin2 = nin1 + atb
1371 203093506 : nin3 = nin2 + atb
1372 203093506 : nout1 = nout1 + atn
1373 203093506 : nout2 = nout1 + after
1374 203093506 : nout3 = nout2 + after
1375 4053435144 : DO j = 1, nfft
1376 3705596582 : r1 = zin(1, j, nin1)
1377 3705596582 : s1 = zin(2, j, nin1)
1378 3705596582 : r = zin(1, j, nin2)
1379 3705596582 : s = zin(2, j, nin2)
1380 3705596582 : r2 = r*cr2 - s*ci2
1381 3705596582 : s2 = r*ci2 + s*cr2
1382 3705596582 : r = zin(1, j, nin3)
1383 3705596582 : s = zin(2, j, nin3)
1384 3705596582 : r3 = r*cr3 - s*ci3
1385 3705596582 : s3 = r*ci3 + s*cr3
1386 3705596582 : r = r2 + r3
1387 3705596582 : s = s2 + s3
1388 3705596582 : zout(1, j, nout1) = r + r1
1389 3705596582 : zout(2, j, nout1) = s + s1
1390 3705596582 : r1 = r1 - .5_dp*r
1391 3705596582 : s1 = s1 - .5_dp*s
1392 3705596582 : r2 = bb*(r2 - r3)
1393 3705596582 : s2 = bb*(s2 - s3)
1394 3705596582 : zout(1, j, nout2) = r1 - s2
1395 3705596582 : zout(2, j, nout2) = s1 + r2
1396 3705596582 : zout(1, j, nout3) = r1 + s2
1397 3908690088 : zout(2, j, nout3) = s1 - r2
1398 : END DO; END DO
1399 : END IF
1400 8822080 : 3000 CONTINUE
1401 : ELSE IF (now .EQ. 5) THEN
1402 : ! cos(2._dp*pi/5._dp)
1403 2814988 : cos2 = 0.3090169943749474_dp
1404 : ! cos(4._dp*pi/5._dp)
1405 2814988 : cos4 = -0.8090169943749474_dp
1406 : ! sin(2._dp*pi/5._dp)
1407 2814988 : sin2 = isign*0.9510565162951536_dp
1408 : ! sin(4._dp*pi/5._dp)
1409 2814988 : sin4 = isign*0.5877852522924731_dp
1410 2814988 : ia = 1
1411 2814988 : nin1 = ia - after
1412 2814988 : nout1 = ia - atn
1413 27105290 : DO ib = 1, before
1414 24290302 : nin1 = nin1 + after
1415 24290302 : nin2 = nin1 + atb
1416 24290302 : nin3 = nin2 + atb
1417 24290302 : nin4 = nin3 + atb
1418 24290302 : nin5 = nin4 + atb
1419 24290302 : nout1 = nout1 + atn
1420 24290302 : nout2 = nout1 + after
1421 24290302 : nout3 = nout2 + after
1422 24290302 : nout4 = nout3 + after
1423 24290302 : nout5 = nout4 + after
1424 514899983 : DO j = 1, nfft
1425 487794693 : r1 = zin(1, j, nin1)
1426 487794693 : s1 = zin(2, j, nin1)
1427 487794693 : r2 = zin(1, j, nin2)
1428 487794693 : s2 = zin(2, j, nin2)
1429 487794693 : r3 = zin(1, j, nin3)
1430 487794693 : s3 = zin(2, j, nin3)
1431 487794693 : r4 = zin(1, j, nin4)
1432 487794693 : s4 = zin(2, j, nin4)
1433 487794693 : r5 = zin(1, j, nin5)
1434 487794693 : s5 = zin(2, j, nin5)
1435 487794693 : r25 = r2 + r5
1436 487794693 : r34 = r3 + r4
1437 487794693 : s25 = s2 - s5
1438 487794693 : s34 = s3 - s4
1439 487794693 : zout(1, j, nout1) = r1 + r25 + r34
1440 487794693 : r = r1 + cos2*r25 + cos4*r34
1441 487794693 : s = sin2*s25 + sin4*s34
1442 487794693 : zout(1, j, nout2) = r - s
1443 487794693 : zout(1, j, nout5) = r + s
1444 487794693 : r = r1 + cos4*r25 + cos2*r34
1445 487794693 : s = sin4*s25 - sin2*s34
1446 487794693 : zout(1, j, nout3) = r - s
1447 487794693 : zout(1, j, nout4) = r + s
1448 487794693 : r25 = r2 - r5
1449 487794693 : r34 = r3 - r4
1450 487794693 : s25 = s2 + s5
1451 487794693 : s34 = s3 + s4
1452 487794693 : zout(2, j, nout1) = s1 + s25 + s34
1453 487794693 : r = s1 + cos2*s25 + cos4*s34
1454 487794693 : s = sin2*r25 + sin4*r34
1455 487794693 : zout(2, j, nout2) = r + s
1456 487794693 : zout(2, j, nout5) = r - s
1457 487794693 : r = s1 + cos4*s25 + cos2*s34
1458 487794693 : s = sin4*r25 - sin2*r34
1459 487794693 : zout(2, j, nout3) = r + s
1460 512084995 : zout(2, j, nout4) = r - s
1461 : END DO; END DO
1462 10455708 : DO 5000, ia = 2, after
1463 7640720 : ias = ia - 1
1464 7640720 : IF (8*ias .EQ. 5*after) THEN
1465 549784 : IF (isign .EQ. 1) THEN
1466 285466 : nin1 = ia - after
1467 285466 : nout1 = ia - atn
1468 871052 : DO ib = 1, before
1469 585586 : nin1 = nin1 + after
1470 585586 : nin2 = nin1 + atb
1471 585586 : nin3 = nin2 + atb
1472 585586 : nin4 = nin3 + atb
1473 585586 : nin5 = nin4 + atb
1474 585586 : nout1 = nout1 + atn
1475 585586 : nout2 = nout1 + after
1476 585586 : nout3 = nout2 + after
1477 585586 : nout4 = nout3 + after
1478 585586 : nout5 = nout4 + after
1479 13041639 : DO j = 1, nfft
1480 12170587 : r1 = zin(1, j, nin1)
1481 12170587 : s1 = zin(2, j, nin1)
1482 12170587 : r = zin(1, j, nin2)
1483 12170587 : s = zin(2, j, nin2)
1484 12170587 : r2 = (r - s)*rt2i
1485 12170587 : s2 = (r + s)*rt2i
1486 12170587 : r3 = zin(2, j, nin3)
1487 12170587 : s3 = zin(1, j, nin3)
1488 12170587 : r = zin(1, j, nin4)
1489 12170587 : s = zin(2, j, nin4)
1490 12170587 : r4 = (r + s)*rt2i
1491 12170587 : s4 = (r - s)*rt2i
1492 12170587 : r5 = zin(1, j, nin5)
1493 12170587 : s5 = zin(2, j, nin5)
1494 12170587 : r25 = r2 - r5
1495 12170587 : r34 = r3 + r4
1496 12170587 : s25 = s2 + s5
1497 12170587 : s34 = s3 - s4
1498 12170587 : zout(1, j, nout1) = r1 + r25 - r34
1499 12170587 : r = r1 + cos2*r25 - cos4*r34
1500 12170587 : s = sin2*s25 + sin4*s34
1501 12170587 : zout(1, j, nout2) = r - s
1502 12170587 : zout(1, j, nout5) = r + s
1503 12170587 : r = r1 + cos4*r25 - cos2*r34
1504 12170587 : s = sin4*s25 - sin2*s34
1505 12170587 : zout(1, j, nout3) = r - s
1506 12170587 : zout(1, j, nout4) = r + s
1507 12170587 : r25 = r2 + r5
1508 12170587 : r34 = r4 - r3
1509 12170587 : s25 = s2 - s5
1510 12170587 : s34 = s3 + s4
1511 12170587 : zout(2, j, nout1) = s1 + s25 + s34
1512 12170587 : r = s1 + cos2*s25 + cos4*s34
1513 12170587 : s = sin2*r25 + sin4*r34
1514 12170587 : zout(2, j, nout2) = r + s
1515 12170587 : zout(2, j, nout5) = r - s
1516 12170587 : r = s1 + cos4*s25 + cos2*s34
1517 12170587 : s = sin4*r25 - sin2*r34
1518 12170587 : zout(2, j, nout3) = r + s
1519 12756173 : zout(2, j, nout4) = r - s
1520 : END DO; END DO
1521 : ELSE
1522 264318 : nin1 = ia - after
1523 264318 : nout1 = ia - atn
1524 815580 : DO ib = 1, before
1525 551262 : nin1 = nin1 + after
1526 551262 : nin2 = nin1 + atb
1527 551262 : nin3 = nin2 + atb
1528 551262 : nin4 = nin3 + atb
1529 551262 : nin5 = nin4 + atb
1530 551262 : nout1 = nout1 + atn
1531 551262 : nout2 = nout1 + after
1532 551262 : nout3 = nout2 + after
1533 551262 : nout4 = nout3 + after
1534 551262 : nout5 = nout4 + after
1535 12105660 : DO j = 1, nfft
1536 11290080 : r1 = zin(1, j, nin1)
1537 11290080 : s1 = zin(2, j, nin1)
1538 11290080 : r = zin(1, j, nin2)
1539 11290080 : s = zin(2, j, nin2)
1540 11290080 : r2 = (r + s)*rt2i
1541 11290080 : s2 = (s - r)*rt2i
1542 11290080 : r3 = zin(2, j, nin3)
1543 11290080 : s3 = zin(1, j, nin3)
1544 11290080 : r = zin(1, j, nin4)
1545 11290080 : s = zin(2, j, nin4)
1546 11290080 : r4 = (s - r)*rt2i
1547 11290080 : s4 = (r + s)*rt2i
1548 11290080 : r5 = zin(1, j, nin5)
1549 11290080 : s5 = zin(2, j, nin5)
1550 11290080 : r25 = r2 - r5
1551 11290080 : r34 = r3 + r4
1552 11290080 : s25 = s2 + s5
1553 11290080 : s34 = s4 - s3
1554 11290080 : zout(1, j, nout1) = r1 + r25 + r34
1555 11290080 : r = r1 + cos2*r25 + cos4*r34
1556 11290080 : s = sin2*s25 + sin4*s34
1557 11290080 : zout(1, j, nout2) = r - s
1558 11290080 : zout(1, j, nout5) = r + s
1559 11290080 : r = r1 + cos4*r25 + cos2*r34
1560 11290080 : s = sin4*s25 - sin2*s34
1561 11290080 : zout(1, j, nout3) = r - s
1562 11290080 : zout(1, j, nout4) = r + s
1563 11290080 : r25 = r2 + r5
1564 11290080 : r34 = r3 - r4
1565 11290080 : s25 = s2 - s5
1566 11290080 : s34 = s3 + s4
1567 11290080 : zout(2, j, nout1) = s1 + s25 - s34
1568 11290080 : r = s1 + cos2*s25 - cos4*s34
1569 11290080 : s = sin2*r25 + sin4*r34
1570 11290080 : zout(2, j, nout2) = r + s
1571 11290080 : zout(2, j, nout5) = r - s
1572 11290080 : r = s1 + cos4*s25 - cos2*s34
1573 11290080 : s = sin4*r25 - sin2*r34
1574 11290080 : zout(2, j, nout3) = r + s
1575 11841342 : zout(2, j, nout4) = r - s
1576 : END DO; END DO
1577 : END IF
1578 : ELSE
1579 7090936 : ias = ia - 1
1580 7090936 : itt = ias*before
1581 7090936 : itrig = itt + 1
1582 7090936 : cr2 = trig(1, itrig)
1583 7090936 : ci2 = trig(2, itrig)
1584 7090936 : itrig = itrig + itt
1585 7090936 : cr3 = trig(1, itrig)
1586 7090936 : ci3 = trig(2, itrig)
1587 7090936 : itrig = itrig + itt
1588 7090936 : cr4 = trig(1, itrig)
1589 7090936 : ci4 = trig(2, itrig)
1590 7090936 : itrig = itrig + itt
1591 7090936 : cr5 = trig(1, itrig)
1592 7090936 : ci5 = trig(2, itrig)
1593 7090936 : nin1 = ia - after
1594 7090936 : nout1 = ia - atn
1595 23501536 : DO ib = 1, before
1596 16410600 : nin1 = nin1 + after
1597 16410600 : nin2 = nin1 + atb
1598 16410600 : nin3 = nin2 + atb
1599 16410600 : nin4 = nin3 + atb
1600 16410600 : nin5 = nin4 + atb
1601 16410600 : nout1 = nout1 + atn
1602 16410600 : nout2 = nout1 + after
1603 16410600 : nout3 = nout2 + after
1604 16410600 : nout4 = nout3 + after
1605 16410600 : nout5 = nout4 + after
1606 335173138 : DO j = 1, nfft
1607 311671602 : r1 = zin(1, j, nin1)
1608 311671602 : s1 = zin(2, j, nin1)
1609 311671602 : r = zin(1, j, nin2)
1610 311671602 : s = zin(2, j, nin2)
1611 311671602 : r2 = r*cr2 - s*ci2
1612 311671602 : s2 = r*ci2 + s*cr2
1613 311671602 : r = zin(1, j, nin3)
1614 311671602 : s = zin(2, j, nin3)
1615 311671602 : r3 = r*cr3 - s*ci3
1616 311671602 : s3 = r*ci3 + s*cr3
1617 311671602 : r = zin(1, j, nin4)
1618 311671602 : s = zin(2, j, nin4)
1619 311671602 : r4 = r*cr4 - s*ci4
1620 311671602 : s4 = r*ci4 + s*cr4
1621 311671602 : r = zin(1, j, nin5)
1622 311671602 : s = zin(2, j, nin5)
1623 311671602 : r5 = r*cr5 - s*ci5
1624 311671602 : s5 = r*ci5 + s*cr5
1625 311671602 : r25 = r2 + r5
1626 311671602 : r34 = r3 + r4
1627 311671602 : s25 = s2 - s5
1628 311671602 : s34 = s3 - s4
1629 311671602 : zout(1, j, nout1) = r1 + r25 + r34
1630 311671602 : r = r1 + cos2*r25 + cos4*r34
1631 311671602 : s = sin2*s25 + sin4*s34
1632 311671602 : zout(1, j, nout2) = r - s
1633 311671602 : zout(1, j, nout5) = r + s
1634 311671602 : r = r1 + cos4*r25 + cos2*r34
1635 311671602 : s = sin4*s25 - sin2*s34
1636 311671602 : zout(1, j, nout3) = r - s
1637 311671602 : zout(1, j, nout4) = r + s
1638 311671602 : r25 = r2 - r5
1639 311671602 : r34 = r3 - r4
1640 311671602 : s25 = s2 + s5
1641 311671602 : s34 = s3 + s4
1642 311671602 : zout(2, j, nout1) = s1 + s25 + s34
1643 311671602 : r = s1 + cos2*s25 + cos4*s34
1644 311671602 : s = sin2*r25 + sin4*r34
1645 311671602 : zout(2, j, nout2) = r + s
1646 311671602 : zout(2, j, nout5) = r - s
1647 311671602 : r = s1 + cos4*s25 + cos2*s34
1648 311671602 : s = sin4*r25 - sin2*r34
1649 311671602 : zout(2, j, nout3) = r + s
1650 328082202 : zout(2, j, nout4) = r - s
1651 : END DO; END DO
1652 : END IF
1653 2814988 : 5000 CONTINUE
1654 : ELSE IF (now .EQ. 6) THEN
1655 : ! .5_dp*sqrt(3._dp)
1656 2756253 : bb = isign*0.8660254037844387_dp
1657 :
1658 2756253 : ia = 1
1659 2756253 : nin1 = ia - after
1660 2756253 : nout1 = ia - atn
1661 38070012 : DO ib = 1, before
1662 35313759 : nin1 = nin1 + after
1663 35313759 : nin2 = nin1 + atb
1664 35313759 : nin3 = nin2 + atb
1665 35313759 : nin4 = nin3 + atb
1666 35313759 : nin5 = nin4 + atb
1667 35313759 : nin6 = nin5 + atb
1668 35313759 : nout1 = nout1 + atn
1669 35313759 : nout2 = nout1 + after
1670 35313759 : nout3 = nout2 + after
1671 35313759 : nout4 = nout3 + after
1672 35313759 : nout5 = nout4 + after
1673 35313759 : nout6 = nout5 + after
1674 618507428 : DO j = 1, nfft
1675 580437416 : r2 = zin(1, j, nin3)
1676 580437416 : s2 = zin(2, j, nin3)
1677 580437416 : r3 = zin(1, j, nin5)
1678 580437416 : s3 = zin(2, j, nin5)
1679 580437416 : r = r2 + r3
1680 580437416 : s = s2 + s3
1681 580437416 : r1 = zin(1, j, nin1)
1682 580437416 : s1 = zin(2, j, nin1)
1683 580437416 : ur1 = r + r1
1684 580437416 : ui1 = s + s1
1685 580437416 : r1 = r1 - .5_dp*r
1686 580437416 : s1 = s1 - .5_dp*s
1687 580437416 : r = r2 - r3
1688 580437416 : s = s2 - s3
1689 580437416 : ur2 = r1 - s*bb
1690 580437416 : ui2 = s1 + r*bb
1691 580437416 : ur3 = r1 + s*bb
1692 580437416 : ui3 = s1 - r*bb
1693 :
1694 580437416 : r2 = zin(1, j, nin6)
1695 580437416 : s2 = zin(2, j, nin6)
1696 580437416 : r3 = zin(1, j, nin2)
1697 580437416 : s3 = zin(2, j, nin2)
1698 580437416 : r = r2 + r3
1699 580437416 : s = s2 + s3
1700 580437416 : r1 = zin(1, j, nin4)
1701 580437416 : s1 = zin(2, j, nin4)
1702 580437416 : vr1 = r + r1
1703 580437416 : vi1 = s + s1
1704 580437416 : r1 = r1 - .5_dp*r
1705 580437416 : s1 = s1 - .5_dp*s
1706 580437416 : r = r2 - r3
1707 580437416 : s = s2 - s3
1708 580437416 : vr2 = r1 - s*bb
1709 580437416 : vi2 = s1 + r*bb
1710 580437416 : vr3 = r1 + s*bb
1711 580437416 : vi3 = s1 - r*bb
1712 :
1713 580437416 : zout(1, j, nout1) = ur1 + vr1
1714 580437416 : zout(2, j, nout1) = ui1 + vi1
1715 580437416 : zout(1, j, nout5) = ur2 + vr2
1716 580437416 : zout(2, j, nout5) = ui2 + vi2
1717 580437416 : zout(1, j, nout3) = ur3 + vr3
1718 580437416 : zout(2, j, nout3) = ui3 + vi3
1719 580437416 : zout(1, j, nout4) = ur1 - vr1
1720 580437416 : zout(2, j, nout4) = ui1 - vi1
1721 580437416 : zout(1, j, nout2) = ur2 - vr2
1722 580437416 : zout(2, j, nout2) = ui2 - vi2
1723 580437416 : zout(1, j, nout6) = ur3 - vr3
1724 615751175 : zout(2, j, nout6) = ui3 - vi3
1725 : END DO; END DO
1726 : ELSE
1727 0 : CPABORT("error fftstp")
1728 : END IF
1729 :
1730 21418742 : END SUBROUTINE fftstp
1731 :
1732 : END MODULE ps_wavelet_fft3d
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