Line data Source code
1 : !--------------------------------------------------------------------------------------------------!
2 : ! CP2K: A general program to perform molecular dynamics simulations !
3 : ! Copyright 2000-2026 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 113591 : 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, 25&
39 : , 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 75, 80, 81, 90, 96, 100, 108, 120, 125, 128,&
40 : 135, 144, 150, 160, 162, 180, 192, 200, 216, 225, 240, 243, 256, 270, 288, 300, 320, 324, &
41 : 360, 375, 384, 400, 405, 432, 450, 480, 486, 500, 512, 540, 576, 600, 625, 640, 648, 675, &
42 : 720, 729, 750, 768, 800, 810, 864, 900, 960, 972, 1000, 1024, 1080, 1125, 1152, 1200, 1215&
43 : , 1280, 1296, 1350, 1440, 1458, 1500, 1536, 1600, 1620, 1728, 1800, 1875, 1920, 1944, 2000&
44 : , 2025, 2048, 2160, 2250, 2304, 2400, 2430, 2500, 2560, 2592, 2700, 2880, 3000, 3072, 3125&
45 : , 3200, 3240, 3375, 3456, 3600, 3750, 3840, 3888, 4000, 4050, 4096, 4320, 4500, 4608, 4800&
46 : , 5000, 5120, 5184, 5400, 5625, 5760, 6000, 6144, 6400, 6480, 6750, 6912, 7200, 7500, 7680&
47 : , 8000, ctrig_length]
48 :
49 : INTEGER :: i
50 :
51 : !Multiple of 2,3,5
52 :
53 1833444 : loop_data: DO i = 1, ndata1024
54 1833444 : IF (n <= idata(i)) THEN
55 113591 : n_next = idata(i)
56 113591 : 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 100457 : 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 1634340 : DO i = 1, 150
202 1634340 : 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 1634340 : IF (n == idata(1, i)) THEN
209 100457 : ic = 0
210 342795 : DO j = 1, 6
211 342795 : itt = idata(1 + j, i)
212 342795 : IF (itt > 1) THEN
213 242338 : ic = ic + 1
214 242338 : 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 100457 : after(1) = 1
224 100457 : before(ic) = 1
225 242338 : DO i = 2, ic
226 141881 : after(i) = after(i - 1)*now(i - 1)
227 242338 : before(ic - i + 1) = before(ic - i + 2)*now(ic - i + 2)
228 : END DO
229 :
230 100457 : twopi = 6.283185307179586_dp
231 100457 : angle = isign*twopi/n
232 100457 : IF (MOD(n, 2) == 0) THEN
233 88748 : nh = n/2
234 88748 : trig(1, 1) = 1._dp
235 88748 : trig(2, 1) = 0._dp
236 88748 : trig(1, nh + 1) = -1._dp
237 88748 : trig(2, nh + 1) = 0._dp
238 1940966 : DO 40, i = 1, nh - 1
239 1852218 : trigc = COS(i*angle)
240 1852218 : trigs = SIN(i*angle)
241 1852218 : trig(1, i + 1) = trigc
242 1852218 : trig(2, i + 1) = trigs
243 1852218 : trig(1, n - i + 1) = trigc
244 1852218 : trig(2, n - i + 1) = -trigs
245 88748 : 40 CONTINUE
246 : ELSE
247 11709 : nh = (n - 1)/2
248 11709 : trig(1, 1) = 1._dp
249 11709 : trig(2, 1) = 0._dp
250 117090 : DO 20, i = 1, nh
251 105381 : trigc = COS(i*angle)
252 105381 : trigs = SIN(i*angle)
253 105381 : trig(1, i + 1) = trigc
254 105381 : trig(2, i + 1) = trigs
255 105381 : trig(1, n - i + 1) = trigc
256 105381 : trig(2, n - i + 1) = -trigs
257 11709 : 20 CONTINUE
258 : END IF
259 :
260 100457 : 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 23770864 : 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 23770864 : atn = after*now
300 23770864 : atb = after*before
301 :
302 : ! sqrt(.5_dp)
303 23770864 : rt2i = 0.7071067811865475_dp
304 : IF (now == 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 == after) THEN
326 0 : IF (isign == 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 == after) THEN
364 0 : IF (isign == 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 == 3*after) THEN
406 0 : IF (isign == 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 == 4) THEN
473 5726717 : IF (isign == 1) THEN
474 2932708 : ia = 1
475 2932708 : nin1 = ia - after
476 2932708 : nout1 = ia - atn
477 25615997 : DO ib = 1, before
478 22683289 : nin1 = nin1 + after
479 22683289 : nin2 = nin1 + atb
480 22683289 : nin3 = nin2 + atb
481 22683289 : nin4 = nin3 + atb
482 22683289 : nout1 = nout1 + atn
483 22683289 : nout2 = nout1 + after
484 22683289 : nout3 = nout2 + after
485 22683289 : nout4 = nout3 + after
486 464278399 : DO j = 1, nfft
487 438662402 : r1 = zin(1, j, nin1)
488 438662402 : s1 = zin(2, j, nin1)
489 438662402 : r2 = zin(1, j, nin2)
490 438662402 : s2 = zin(2, j, nin2)
491 438662402 : r3 = zin(1, j, nin3)
492 438662402 : s3 = zin(2, j, nin3)
493 438662402 : r4 = zin(1, j, nin4)
494 438662402 : s4 = zin(2, j, nin4)
495 438662402 : r = r1 + r3
496 438662402 : s = r2 + r4
497 438662402 : zout(1, j, nout1) = r + s
498 438662402 : zout(1, j, nout3) = r - s
499 438662402 : r = r1 - r3
500 438662402 : s = s2 - s4
501 438662402 : zout(1, j, nout2) = r - s
502 438662402 : zout(1, j, nout4) = r + s
503 438662402 : r = s1 + s3
504 438662402 : s = s2 + s4
505 438662402 : zout(2, j, nout1) = r + s
506 438662402 : zout(2, j, nout3) = r - s
507 438662402 : r = s1 - s3
508 438662402 : s = r2 - r4
509 438662402 : zout(2, j, nout2) = r + s
510 461345691 : zout(2, j, nout4) = r - s
511 : END DO; END DO
512 30932321 : DO 4000, ia = 2, after
513 27999613 : ias = ia - 1
514 27999613 : IF (2*ias == after) THEN
515 1232107 : nin1 = ia - after
516 1232107 : nout1 = ia - atn
517 2849057 : DO ib = 1, before
518 1616950 : nin1 = nin1 + after
519 1616950 : nin2 = nin1 + atb
520 1616950 : nin3 = nin2 + atb
521 1616950 : nin4 = nin3 + atb
522 1616950 : nout1 = nout1 + atn
523 1616950 : nout2 = nout1 + after
524 1616950 : nout3 = nout2 + after
525 1616950 : nout4 = nout3 + after
526 33768605 : DO j = 1, nfft
527 30919548 : r1 = zin(1, j, nin1)
528 30919548 : s1 = zin(2, j, nin1)
529 30919548 : r = zin(1, j, nin2)
530 30919548 : s = zin(2, j, nin2)
531 30919548 : r2 = (r - s)*rt2i
532 30919548 : s2 = (r + s)*rt2i
533 30919548 : r3 = zin(2, j, nin3)
534 30919548 : s3 = zin(1, j, nin3)
535 30919548 : r = zin(1, j, nin4)
536 30919548 : s = zin(2, j, nin4)
537 30919548 : r4 = (r + s)*rt2i
538 30919548 : s4 = (r - s)*rt2i
539 30919548 : r = r1 - r3
540 30919548 : s = r2 - r4
541 30919548 : zout(1, j, nout1) = r + s
542 30919548 : zout(1, j, nout3) = r - s
543 30919548 : r = r1 + r3
544 30919548 : s = s2 - s4
545 30919548 : zout(1, j, nout2) = r - s
546 30919548 : zout(1, j, nout4) = r + s
547 30919548 : r = s1 + s3
548 30919548 : s = s2 + s4
549 30919548 : zout(2, j, nout1) = r + s
550 30919548 : zout(2, j, nout3) = r - s
551 30919548 : r = s1 - s3
552 30919548 : s = r2 + r4
553 30919548 : zout(2, j, nout2) = r + s
554 32536498 : zout(2, j, nout4) = r - s
555 : END DO; END DO
556 : ELSE
557 26767506 : itt = ias*before
558 26767506 : itrig = itt + 1
559 26767506 : cr2 = trig(1, itrig)
560 26767506 : ci2 = trig(2, itrig)
561 26767506 : itrig = itrig + itt
562 26767506 : cr3 = trig(1, itrig)
563 26767506 : ci3 = trig(2, itrig)
564 26767506 : itrig = itrig + itt
565 26767506 : cr4 = trig(1, itrig)
566 26767506 : ci4 = trig(2, itrig)
567 26767506 : nin1 = ia - after
568 26767506 : nout1 = ia - atn
569 66086838 : DO ib = 1, before
570 39319332 : nin1 = nin1 + after
571 39319332 : nin2 = nin1 + atb
572 39319332 : nin3 = nin2 + atb
573 39319332 : nin4 = nin3 + atb
574 39319332 : nout1 = nout1 + atn
575 39319332 : nout2 = nout1 + after
576 39319332 : nout3 = nout2 + after
577 39319332 : nout4 = nout3 + after
578 796635762 : DO j = 1, nfft
579 730548924 : r1 = zin(1, j, nin1)
580 730548924 : s1 = zin(2, j, nin1)
581 730548924 : r = zin(1, j, nin2)
582 730548924 : s = zin(2, j, nin2)
583 730548924 : r2 = r*cr2 - s*ci2
584 730548924 : s2 = r*ci2 + s*cr2
585 730548924 : r = zin(1, j, nin3)
586 730548924 : s = zin(2, j, nin3)
587 730548924 : r3 = r*cr3 - s*ci3
588 730548924 : s3 = r*ci3 + s*cr3
589 730548924 : r = zin(1, j, nin4)
590 730548924 : s = zin(2, j, nin4)
591 730548924 : r4 = r*cr4 - s*ci4
592 730548924 : s4 = r*ci4 + s*cr4
593 730548924 : r = r1 + r3
594 730548924 : s = r2 + r4
595 730548924 : zout(1, j, nout1) = r + s
596 730548924 : zout(1, j, nout3) = r - s
597 730548924 : r = r1 - r3
598 730548924 : s = s2 - s4
599 730548924 : zout(1, j, nout2) = r - s
600 730548924 : zout(1, j, nout4) = r + s
601 730548924 : r = s1 + s3
602 730548924 : s = s2 + s4
603 730548924 : zout(2, j, nout1) = r + s
604 730548924 : zout(2, j, nout3) = r - s
605 730548924 : r = s1 - s3
606 730548924 : s = r2 - r4
607 730548924 : zout(2, j, nout2) = r + s
608 769868256 : zout(2, j, nout4) = r - s
609 : END DO; END DO
610 : END IF
611 2932708 : 4000 CONTINUE
612 : ELSE
613 2794009 : ia = 1
614 2794009 : nin1 = ia - after
615 2794009 : nout1 = ia - atn
616 24315439 : DO ib = 1, before
617 21521430 : nin1 = nin1 + after
618 21521430 : nin2 = nin1 + atb
619 21521430 : nin3 = nin2 + atb
620 21521430 : nin4 = nin3 + atb
621 21521430 : nout1 = nout1 + atn
622 21521430 : nout2 = nout1 + after
623 21521430 : nout3 = nout2 + after
624 21521430 : nout4 = nout3 + after
625 441754131 : DO j = 1, nfft
626 417438692 : r1 = zin(1, j, nin1)
627 417438692 : s1 = zin(2, j, nin1)
628 417438692 : r2 = zin(1, j, nin2)
629 417438692 : s2 = zin(2, j, nin2)
630 417438692 : r3 = zin(1, j, nin3)
631 417438692 : s3 = zin(2, j, nin3)
632 417438692 : r4 = zin(1, j, nin4)
633 417438692 : s4 = zin(2, j, nin4)
634 417438692 : r = r1 + r3
635 417438692 : s = r2 + r4
636 417438692 : zout(1, j, nout1) = r + s
637 417438692 : zout(1, j, nout3) = r - s
638 417438692 : r = r1 - r3
639 417438692 : s = s2 - s4
640 417438692 : zout(1, j, nout2) = r + s
641 417438692 : zout(1, j, nout4) = r - s
642 417438692 : r = s1 + s3
643 417438692 : s = s2 + s4
644 417438692 : zout(2, j, nout1) = r + s
645 417438692 : zout(2, j, nout3) = r - s
646 417438692 : r = s1 - s3
647 417438692 : s = r2 - r4
648 417438692 : zout(2, j, nout2) = r - s
649 438960122 : zout(2, j, nout4) = r + s
650 : END DO; END DO
651 29189668 : DO 4100, ia = 2, after
652 26395659 : ias = ia - 1
653 26395659 : IF (2*ias == after) THEN
654 1168017 : nin1 = ia - after
655 1168017 : nout1 = ia - atn
656 2682744 : DO ib = 1, before
657 1514727 : nin1 = nin1 + after
658 1514727 : nin2 = nin1 + atb
659 1514727 : nin3 = nin2 + atb
660 1514727 : nin4 = nin3 + atb
661 1514727 : nout1 = nout1 + atn
662 1514727 : nout2 = nout1 + after
663 1514727 : nout3 = nout2 + after
664 1514727 : nout4 = nout3 + after
665 31679006 : DO j = 1, nfft
666 28996262 : r1 = zin(1, j, nin1)
667 28996262 : s1 = zin(2, j, nin1)
668 28996262 : r = zin(1, j, nin2)
669 28996262 : s = zin(2, j, nin2)
670 28996262 : r2 = (r + s)*rt2i
671 28996262 : s2 = (s - r)*rt2i
672 28996262 : r3 = zin(2, j, nin3)
673 28996262 : s3 = zin(1, j, nin3)
674 28996262 : r = zin(1, j, nin4)
675 28996262 : s = zin(2, j, nin4)
676 28996262 : r4 = (s - r)*rt2i
677 28996262 : s4 = (r + s)*rt2i
678 28996262 : r = r1 + r3
679 28996262 : s = r2 + r4
680 28996262 : zout(1, j, nout1) = r + s
681 28996262 : zout(1, j, nout3) = r - s
682 28996262 : r = r1 - r3
683 28996262 : s = s2 + s4
684 28996262 : zout(1, j, nout2) = r + s
685 28996262 : zout(1, j, nout4) = r - s
686 28996262 : r = s1 - s3
687 28996262 : s = s2 - s4
688 28996262 : zout(2, j, nout1) = r + s
689 28996262 : zout(2, j, nout3) = r - s
690 28996262 : r = s1 + s3
691 28996262 : s = r2 - r4
692 28996262 : zout(2, j, nout2) = r - s
693 30510989 : zout(2, j, nout4) = r + s
694 : END DO; END DO
695 : ELSE
696 25227642 : itt = ias*before
697 25227642 : itrig = itt + 1
698 25227642 : cr2 = trig(1, itrig)
699 25227642 : ci2 = trig(2, itrig)
700 25227642 : itrig = itrig + itt
701 25227642 : cr3 = trig(1, itrig)
702 25227642 : ci3 = trig(2, itrig)
703 25227642 : itrig = itrig + itt
704 25227642 : cr4 = trig(1, itrig)
705 25227642 : ci4 = trig(2, itrig)
706 25227642 : nin1 = ia - after
707 25227642 : nout1 = ia - atn
708 62415024 : DO ib = 1, before
709 37187382 : nin1 = nin1 + after
710 37187382 : nin2 = nin1 + atb
711 37187382 : nin3 = nin2 + atb
712 37187382 : nin4 = nin3 + atb
713 37187382 : nout1 = nout1 + atn
714 37187382 : nout2 = nout1 + after
715 37187382 : nout3 = nout2 + after
716 37187382 : nout4 = nout3 + after
717 757381116 : DO j = 1, nfft
718 694966092 : r1 = zin(1, j, nin1)
719 694966092 : s1 = zin(2, j, nin1)
720 694966092 : r = zin(1, j, nin2)
721 694966092 : s = zin(2, j, nin2)
722 694966092 : r2 = r*cr2 - s*ci2
723 694966092 : s2 = r*ci2 + s*cr2
724 694966092 : r = zin(1, j, nin3)
725 694966092 : s = zin(2, j, nin3)
726 694966092 : r3 = r*cr3 - s*ci3
727 694966092 : s3 = r*ci3 + s*cr3
728 694966092 : r = zin(1, j, nin4)
729 694966092 : s = zin(2, j, nin4)
730 694966092 : r4 = r*cr4 - s*ci4
731 694966092 : s4 = r*ci4 + s*cr4
732 694966092 : r = r1 + r3
733 694966092 : s = r2 + r4
734 694966092 : zout(1, j, nout1) = r + s
735 694966092 : zout(1, j, nout3) = r - s
736 694966092 : r = r1 - r3
737 694966092 : s = s2 - s4
738 694966092 : zout(1, j, nout2) = r + s
739 694966092 : zout(1, j, nout4) = r - s
740 694966092 : r = s1 + s3
741 694966092 : s = s2 + s4
742 694966092 : zout(2, j, nout1) = r + s
743 694966092 : zout(2, j, nout3) = r - s
744 694966092 : r = s1 - s3
745 694966092 : s = r2 - r4
746 694966092 : zout(2, j, nout2) = r - s
747 732153474 : zout(2, j, nout4) = r + s
748 : END DO; END DO
749 : END IF
750 2794009 : 4100 CONTINUE
751 : END IF
752 : ELSE IF (now == 8) THEN
753 2337616 : IF (isign == -1) THEN
754 1127008 : ia = 1
755 1127008 : nin1 = ia - after
756 1127008 : nout1 = ia - atn
757 9824484 : DO ib = 1, before
758 8697476 : nin1 = nin1 + after
759 8697476 : nin2 = nin1 + atb
760 8697476 : nin3 = nin2 + atb
761 8697476 : nin4 = nin3 + atb
762 8697476 : nin5 = nin4 + atb
763 8697476 : nin6 = nin5 + atb
764 8697476 : nin7 = nin6 + atb
765 8697476 : nin8 = nin7 + atb
766 8697476 : nout1 = nout1 + atn
767 8697476 : nout2 = nout1 + after
768 8697476 : nout3 = nout2 + after
769 8697476 : nout4 = nout3 + after
770 8697476 : nout5 = nout4 + after
771 8697476 : nout6 = nout5 + after
772 8697476 : nout7 = nout6 + after
773 8697476 : nout8 = nout7 + after
774 178018408 : DO j = 1, nfft
775 168193924 : r1 = zin(1, j, nin1)
776 168193924 : s1 = zin(2, j, nin1)
777 168193924 : r2 = zin(1, j, nin2)
778 168193924 : s2 = zin(2, j, nin2)
779 168193924 : r3 = zin(1, j, nin3)
780 168193924 : s3 = zin(2, j, nin3)
781 168193924 : r4 = zin(1, j, nin4)
782 168193924 : s4 = zin(2, j, nin4)
783 168193924 : r5 = zin(1, j, nin5)
784 168193924 : s5 = zin(2, j, nin5)
785 168193924 : r6 = zin(1, j, nin6)
786 168193924 : s6 = zin(2, j, nin6)
787 168193924 : r7 = zin(1, j, nin7)
788 168193924 : s7 = zin(2, j, nin7)
789 168193924 : r8 = zin(1, j, nin8)
790 168193924 : s8 = zin(2, j, nin8)
791 168193924 : r = r1 + r5
792 168193924 : s = r3 + r7
793 168193924 : ap = r + s
794 168193924 : am = r - s
795 168193924 : r = r2 + r6
796 168193924 : s = r4 + r8
797 168193924 : bp = r + s
798 168193924 : bm = r - s
799 168193924 : r = s1 + s5
800 168193924 : s = s3 + s7
801 168193924 : cp = r + s
802 168193924 : cm = r - s
803 168193924 : r = s2 + s6
804 168193924 : s = s4 + s8
805 168193924 : dpp = r + s
806 168193924 : dm = r - s
807 168193924 : zout(1, j, nout1) = ap + bp
808 168193924 : zout(2, j, nout1) = cp + dpp
809 168193924 : zout(1, j, nout5) = ap - bp
810 168193924 : zout(2, j, nout5) = cp - dpp
811 168193924 : zout(1, j, nout3) = am + dm
812 168193924 : zout(2, j, nout3) = cm - bm
813 168193924 : zout(1, j, nout7) = am - dm
814 168193924 : zout(2, j, nout7) = cm + bm
815 168193924 : r = r1 - r5
816 168193924 : s = s3 - s7
817 168193924 : ap = r + s
818 168193924 : am = r - s
819 168193924 : r = s1 - s5
820 168193924 : s = r3 - r7
821 168193924 : bp = r + s
822 168193924 : bm = r - s
823 168193924 : r = s4 - s8
824 168193924 : s = r2 - r6
825 168193924 : cp = r + s
826 168193924 : cm = r - s
827 168193924 : r = s2 - s6
828 168193924 : s = r4 - r8
829 168193924 : dpp = r + s
830 168193924 : dm = r - s
831 168193924 : r = (cp + dm)*rt2i
832 168193924 : s = (dm - cp)*rt2i
833 168193924 : cp = (cm + dpp)*rt2i
834 168193924 : dpp = (cm - dpp)*rt2i
835 168193924 : zout(1, j, nout2) = ap + r
836 168193924 : zout(2, j, nout2) = bm + s
837 168193924 : zout(1, j, nout6) = ap - r
838 168193924 : zout(2, j, nout6) = bm - s
839 168193924 : zout(1, j, nout4) = am + cp
840 168193924 : zout(2, j, nout4) = bp + dpp
841 168193924 : zout(1, j, nout8) = am - cp
842 176891400 : zout(2, j, nout8) = bp - dpp
843 : END DO; END DO
844 3056459 : DO 8000, ia = 2, after
845 1929451 : ias = ia - 1
846 1929451 : itt = ias*before
847 1929451 : itrig = itt + 1
848 1929451 : cr2 = trig(1, itrig)
849 1929451 : ci2 = trig(2, itrig)
850 1929451 : itrig = itrig + itt
851 1929451 : cr3 = trig(1, itrig)
852 1929451 : ci3 = trig(2, itrig)
853 1929451 : itrig = itrig + itt
854 1929451 : cr4 = trig(1, itrig)
855 1929451 : ci4 = trig(2, itrig)
856 1929451 : itrig = itrig + itt
857 1929451 : cr5 = trig(1, itrig)
858 1929451 : ci5 = trig(2, itrig)
859 1929451 : itrig = itrig + itt
860 1929451 : cr6 = trig(1, itrig)
861 1929451 : ci6 = trig(2, itrig)
862 1929451 : itrig = itrig + itt
863 1929451 : cr7 = trig(1, itrig)
864 1929451 : ci7 = trig(2, itrig)
865 1929451 : itrig = itrig + itt
866 1929451 : cr8 = trig(1, itrig)
867 1929451 : ci8 = trig(2, itrig)
868 1929451 : nin1 = ia - after
869 1929451 : nout1 = ia - atn
870 7204612 : DO ib = 1, before
871 5275161 : nin1 = nin1 + after
872 5275161 : nin2 = nin1 + atb
873 5275161 : nin3 = nin2 + atb
874 5275161 : nin4 = nin3 + atb
875 5275161 : nin5 = nin4 + atb
876 5275161 : nin6 = nin5 + atb
877 5275161 : nin7 = nin6 + atb
878 5275161 : nin8 = nin7 + atb
879 5275161 : nout1 = nout1 + atn
880 5275161 : nout2 = nout1 + after
881 5275161 : nout3 = nout2 + after
882 5275161 : nout4 = nout3 + after
883 5275161 : nout5 = nout4 + after
884 5275161 : nout6 = nout5 + after
885 5275161 : nout7 = nout6 + after
886 5275161 : nout8 = nout7 + after
887 76707484 : DO j = 1, nfft
888 69502872 : r1 = zin(1, j, nin1)
889 69502872 : s1 = zin(2, j, nin1)
890 69502872 : r = zin(1, j, nin2)
891 69502872 : s = zin(2, j, nin2)
892 69502872 : r2 = r*cr2 - s*ci2
893 69502872 : s2 = r*ci2 + s*cr2
894 69502872 : r = zin(1, j, nin3)
895 69502872 : s = zin(2, j, nin3)
896 69502872 : r3 = r*cr3 - s*ci3
897 69502872 : s3 = r*ci3 + s*cr3
898 69502872 : r = zin(1, j, nin4)
899 69502872 : s = zin(2, j, nin4)
900 69502872 : r4 = r*cr4 - s*ci4
901 69502872 : s4 = r*ci4 + s*cr4
902 69502872 : r = zin(1, j, nin5)
903 69502872 : s = zin(2, j, nin5)
904 69502872 : r5 = r*cr5 - s*ci5
905 69502872 : s5 = r*ci5 + s*cr5
906 69502872 : r = zin(1, j, nin6)
907 69502872 : s = zin(2, j, nin6)
908 69502872 : r6 = r*cr6 - s*ci6
909 69502872 : s6 = r*ci6 + s*cr6
910 69502872 : r = zin(1, j, nin7)
911 69502872 : s = zin(2, j, nin7)
912 69502872 : r7 = r*cr7 - s*ci7
913 69502872 : s7 = r*ci7 + s*cr7
914 69502872 : r = zin(1, j, nin8)
915 69502872 : s = zin(2, j, nin8)
916 69502872 : r8 = r*cr8 - s*ci8
917 69502872 : s8 = r*ci8 + s*cr8
918 69502872 : r = r1 + r5
919 69502872 : s = r3 + r7
920 69502872 : ap = r + s
921 69502872 : am = r - s
922 69502872 : r = r2 + r6
923 69502872 : s = r4 + r8
924 69502872 : bp = r + s
925 69502872 : bm = r - s
926 69502872 : r = s1 + s5
927 69502872 : s = s3 + s7
928 69502872 : cp = r + s
929 69502872 : cm = r - s
930 69502872 : r = s2 + s6
931 69502872 : s = s4 + s8
932 69502872 : dpp = r + s
933 69502872 : dm = r - s
934 69502872 : zout(1, j, nout1) = ap + bp
935 69502872 : zout(2, j, nout1) = cp + dpp
936 69502872 : zout(1, j, nout5) = ap - bp
937 69502872 : zout(2, j, nout5) = cp - dpp
938 69502872 : zout(1, j, nout3) = am + dm
939 69502872 : zout(2, j, nout3) = cm - bm
940 69502872 : zout(1, j, nout7) = am - dm
941 69502872 : zout(2, j, nout7) = cm + bm
942 69502872 : r = r1 - r5
943 69502872 : s = s3 - s7
944 69502872 : ap = r + s
945 69502872 : am = r - s
946 69502872 : r = s1 - s5
947 69502872 : s = r3 - r7
948 69502872 : bp = r + s
949 69502872 : bm = r - s
950 69502872 : r = s4 - s8
951 69502872 : s = r2 - r6
952 69502872 : cp = r + s
953 69502872 : cm = r - s
954 69502872 : r = s2 - s6
955 69502872 : s = r4 - r8
956 69502872 : dpp = r + s
957 69502872 : dm = r - s
958 69502872 : r = (cp + dm)*rt2i
959 69502872 : s = (dm - cp)*rt2i
960 69502872 : cp = (cm + dpp)*rt2i
961 69502872 : dpp = (cm - dpp)*rt2i
962 69502872 : zout(1, j, nout2) = ap + r
963 69502872 : zout(2, j, nout2) = bm + s
964 69502872 : zout(1, j, nout6) = ap - r
965 69502872 : zout(2, j, nout6) = bm - s
966 69502872 : zout(1, j, nout4) = am + cp
967 69502872 : zout(2, j, nout4) = bp + dpp
968 69502872 : zout(1, j, nout8) = am - cp
969 74778033 : zout(2, j, nout8) = bp - dpp
970 : END DO; END DO
971 1127008 : 8000 CONTINUE
972 :
973 : ELSE
974 1210608 : ia = 1
975 1210608 : nin1 = ia - after
976 1210608 : nout1 = ia - atn
977 10675449 : DO ib = 1, before
978 9464841 : nin1 = nin1 + after
979 9464841 : nin2 = nin1 + atb
980 9464841 : nin3 = nin2 + atb
981 9464841 : nin4 = nin3 + atb
982 9464841 : nin5 = nin4 + atb
983 9464841 : nin6 = nin5 + atb
984 9464841 : nin7 = nin6 + atb
985 9464841 : nin8 = nin7 + atb
986 9464841 : nout1 = nout1 + atn
987 9464841 : nout2 = nout1 + after
988 9464841 : nout3 = nout2 + after
989 9464841 : nout4 = nout3 + after
990 9464841 : nout5 = nout4 + after
991 9464841 : nout6 = nout5 + after
992 9464841 : nout7 = nout6 + after
993 9464841 : nout8 = nout7 + after
994 192769701 : DO j = 1, nfft
995 182094252 : r1 = zin(1, j, nin1)
996 182094252 : s1 = zin(2, j, nin1)
997 182094252 : r2 = zin(1, j, nin2)
998 182094252 : s2 = zin(2, j, nin2)
999 182094252 : r3 = zin(1, j, nin3)
1000 182094252 : s3 = zin(2, j, nin3)
1001 182094252 : r4 = zin(1, j, nin4)
1002 182094252 : s4 = zin(2, j, nin4)
1003 182094252 : r5 = zin(1, j, nin5)
1004 182094252 : s5 = zin(2, j, nin5)
1005 182094252 : r6 = zin(1, j, nin6)
1006 182094252 : s6 = zin(2, j, nin6)
1007 182094252 : r7 = zin(1, j, nin7)
1008 182094252 : s7 = zin(2, j, nin7)
1009 182094252 : r8 = zin(1, j, nin8)
1010 182094252 : s8 = zin(2, j, nin8)
1011 182094252 : r = r1 + r5
1012 182094252 : s = r3 + r7
1013 182094252 : ap = r + s
1014 182094252 : am = r - s
1015 182094252 : r = r2 + r6
1016 182094252 : s = r4 + r8
1017 182094252 : bp = r + s
1018 182094252 : bm = r - s
1019 182094252 : r = s1 + s5
1020 182094252 : s = s3 + s7
1021 182094252 : cp = r + s
1022 182094252 : cm = r - s
1023 182094252 : r = s2 + s6
1024 182094252 : s = s4 + s8
1025 182094252 : dpp = r + s
1026 182094252 : dm = r - s
1027 182094252 : zout(1, j, nout1) = ap + bp
1028 182094252 : zout(2, j, nout1) = cp + dpp
1029 182094252 : zout(1, j, nout5) = ap - bp
1030 182094252 : zout(2, j, nout5) = cp - dpp
1031 182094252 : zout(1, j, nout3) = am - dm
1032 182094252 : zout(2, j, nout3) = cm + bm
1033 182094252 : zout(1, j, nout7) = am + dm
1034 182094252 : zout(2, j, nout7) = cm - bm
1035 182094252 : r = r1 - r5
1036 182094252 : s = -s3 + s7
1037 182094252 : ap = r + s
1038 182094252 : am = r - s
1039 182094252 : r = s1 - s5
1040 182094252 : s = r7 - r3
1041 182094252 : bp = r + s
1042 182094252 : bm = r - s
1043 182094252 : r = -s4 + s8
1044 182094252 : s = r2 - r6
1045 182094252 : cp = r + s
1046 182094252 : cm = r - s
1047 182094252 : r = -s2 + s6
1048 182094252 : s = r4 - r8
1049 182094252 : dpp = r + s
1050 182094252 : dm = r - s
1051 182094252 : r = (cp + dm)*rt2i
1052 182094252 : s = (cp - dm)*rt2i
1053 182094252 : cp = (cm + dpp)*rt2i
1054 182094252 : dpp = (dpp - cm)*rt2i
1055 182094252 : zout(1, j, nout2) = ap + r
1056 182094252 : zout(2, j, nout2) = bm + s
1057 182094252 : zout(1, j, nout6) = ap - r
1058 182094252 : zout(2, j, nout6) = bm - s
1059 182094252 : zout(1, j, nout4) = am + cp
1060 182094252 : zout(2, j, nout4) = bp + dpp
1061 182094252 : zout(1, j, nout8) = am - cp
1062 191559093 : zout(2, j, nout8) = bp - dpp
1063 : END DO; END DO
1064 :
1065 3283709 : DO 8001, ia = 2, after
1066 2073101 : ias = ia - 1
1067 2073101 : itt = ias*before
1068 2073101 : itrig = itt + 1
1069 2073101 : cr2 = trig(1, itrig)
1070 2073101 : ci2 = trig(2, itrig)
1071 2073101 : itrig = itrig + itt
1072 2073101 : cr3 = trig(1, itrig)
1073 2073101 : ci3 = trig(2, itrig)
1074 2073101 : itrig = itrig + itt
1075 2073101 : cr4 = trig(1, itrig)
1076 2073101 : ci4 = trig(2, itrig)
1077 2073101 : itrig = itrig + itt
1078 2073101 : cr5 = trig(1, itrig)
1079 2073101 : ci5 = trig(2, itrig)
1080 2073101 : itrig = itrig + itt
1081 2073101 : cr6 = trig(1, itrig)
1082 2073101 : ci6 = trig(2, itrig)
1083 2073101 : itrig = itrig + itt
1084 2073101 : cr7 = trig(1, itrig)
1085 2073101 : ci7 = trig(2, itrig)
1086 2073101 : itrig = itrig + itt
1087 2073101 : cr8 = trig(1, itrig)
1088 2073101 : ci8 = trig(2, itrig)
1089 2073101 : nin1 = ia - after
1090 2073101 : nout1 = ia - atn
1091 7779993 : DO ib = 1, before
1092 5706892 : nin1 = nin1 + after
1093 5706892 : nin2 = nin1 + atb
1094 5706892 : nin3 = nin2 + atb
1095 5706892 : nin4 = nin3 + atb
1096 5706892 : nin5 = nin4 + atb
1097 5706892 : nin6 = nin5 + atb
1098 5706892 : nin7 = nin6 + atb
1099 5706892 : nin8 = nin7 + atb
1100 5706892 : nout1 = nout1 + atn
1101 5706892 : nout2 = nout1 + after
1102 5706892 : nout3 = nout2 + after
1103 5706892 : nout4 = nout3 + after
1104 5706892 : nout5 = nout4 + after
1105 5706892 : nout6 = nout5 + after
1106 5706892 : nout7 = nout6 + after
1107 5706892 : nout8 = nout7 + after
1108 82215004 : DO j = 1, nfft
1109 74435011 : r1 = zin(1, j, nin1)
1110 74435011 : s1 = zin(2, j, nin1)
1111 74435011 : r = zin(1, j, nin2)
1112 74435011 : s = zin(2, j, nin2)
1113 74435011 : r2 = r*cr2 - s*ci2
1114 74435011 : s2 = r*ci2 + s*cr2
1115 74435011 : r = zin(1, j, nin3)
1116 74435011 : s = zin(2, j, nin3)
1117 74435011 : r3 = r*cr3 - s*ci3
1118 74435011 : s3 = r*ci3 + s*cr3
1119 74435011 : r = zin(1, j, nin4)
1120 74435011 : s = zin(2, j, nin4)
1121 74435011 : r4 = r*cr4 - s*ci4
1122 74435011 : s4 = r*ci4 + s*cr4
1123 74435011 : r = zin(1, j, nin5)
1124 74435011 : s = zin(2, j, nin5)
1125 74435011 : r5 = r*cr5 - s*ci5
1126 74435011 : s5 = r*ci5 + s*cr5
1127 74435011 : r = zin(1, j, nin6)
1128 74435011 : s = zin(2, j, nin6)
1129 74435011 : r6 = r*cr6 - s*ci6
1130 74435011 : s6 = r*ci6 + s*cr6
1131 74435011 : r = zin(1, j, nin7)
1132 74435011 : s = zin(2, j, nin7)
1133 74435011 : r7 = r*cr7 - s*ci7
1134 74435011 : s7 = r*ci7 + s*cr7
1135 74435011 : r = zin(1, j, nin8)
1136 74435011 : s = zin(2, j, nin8)
1137 74435011 : r8 = r*cr8 - s*ci8
1138 74435011 : s8 = r*ci8 + s*cr8
1139 74435011 : r = r1 + r5
1140 74435011 : s = r3 + r7
1141 74435011 : ap = r + s
1142 74435011 : am = r - s
1143 74435011 : r = r2 + r6
1144 74435011 : s = r4 + r8
1145 74435011 : bp = r + s
1146 74435011 : bm = r - s
1147 74435011 : r = s1 + s5
1148 74435011 : s = s3 + s7
1149 74435011 : cp = r + s
1150 74435011 : cm = r - s
1151 74435011 : r = s2 + s6
1152 74435011 : s = s4 + s8
1153 74435011 : dpp = r + s
1154 74435011 : dm = r - s
1155 74435011 : zout(1, j, nout1) = ap + bp
1156 74435011 : zout(2, j, nout1) = cp + dpp
1157 74435011 : zout(1, j, nout5) = ap - bp
1158 74435011 : zout(2, j, nout5) = cp - dpp
1159 74435011 : zout(1, j, nout3) = am - dm
1160 74435011 : zout(2, j, nout3) = cm + bm
1161 74435011 : zout(1, j, nout7) = am + dm
1162 74435011 : zout(2, j, nout7) = cm - bm
1163 74435011 : r = r1 - r5
1164 74435011 : s = -s3 + s7
1165 74435011 : ap = r + s
1166 74435011 : am = r - s
1167 74435011 : r = s1 - s5
1168 74435011 : s = r7 - r3
1169 74435011 : bp = r + s
1170 74435011 : bm = r - s
1171 74435011 : r = -s4 + s8
1172 74435011 : s = r2 - r6
1173 74435011 : cp = r + s
1174 74435011 : cm = r - s
1175 74435011 : r = -s2 + s6
1176 74435011 : s = r4 - r8
1177 74435011 : dpp = r + s
1178 74435011 : dm = r - s
1179 74435011 : r = (cp + dm)*rt2i
1180 74435011 : s = (cp - dm)*rt2i
1181 74435011 : cp = (cm + dpp)*rt2i
1182 74435011 : dpp = (dpp - cm)*rt2i
1183 74435011 : zout(1, j, nout2) = ap + r
1184 74435011 : zout(2, j, nout2) = bm + s
1185 74435011 : zout(1, j, nout6) = ap - r
1186 74435011 : zout(2, j, nout6) = bm - s
1187 74435011 : zout(1, j, nout4) = am + cp
1188 74435011 : zout(2, j, nout4) = bp + dpp
1189 74435011 : zout(1, j, nout8) = am - cp
1190 80141903 : zout(2, j, nout8) = bp - dpp
1191 : END DO; END DO
1192 1210608 : 8001 CONTINUE
1193 :
1194 : END IF
1195 : ELSE IF (now == 3) THEN
1196 : ! .5_dp*sqrt(3._dp)
1197 9383862 : bb = isign*0.8660254037844387_dp
1198 9383862 : ia = 1
1199 9383862 : nin1 = ia - after
1200 9383862 : nout1 = ia - atn
1201 35261960 : DO ib = 1, before
1202 25878098 : nin1 = nin1 + after
1203 25878098 : nin2 = nin1 + atb
1204 25878098 : nin3 = nin2 + atb
1205 25878098 : nout1 = nout1 + atn
1206 25878098 : nout2 = nout1 + after
1207 25878098 : nout3 = nout2 + after
1208 522322795 : DO j = 1, nfft
1209 487060835 : r1 = zin(1, j, nin1)
1210 487060835 : s1 = zin(2, j, nin1)
1211 487060835 : r2 = zin(1, j, nin2)
1212 487060835 : s2 = zin(2, j, nin2)
1213 487060835 : r3 = zin(1, j, nin3)
1214 487060835 : s3 = zin(2, j, nin3)
1215 487060835 : r = r2 + r3
1216 487060835 : s = s2 + s3
1217 487060835 : zout(1, j, nout1) = r + r1
1218 487060835 : zout(2, j, nout1) = s + s1
1219 487060835 : r1 = r1 - .5_dp*r
1220 487060835 : s1 = s1 - .5_dp*s
1221 487060835 : r2 = bb*(r2 - r3)
1222 487060835 : s2 = bb*(s2 - s3)
1223 487060835 : zout(1, j, nout2) = r1 - s2
1224 487060835 : zout(2, j, nout2) = s1 + r2
1225 487060835 : zout(1, j, nout3) = r1 + s2
1226 512938933 : zout(2, j, nout3) = s1 - r2
1227 : END DO; END DO
1228 171674844 : DO 3000, ia = 2, after
1229 162290982 : ias = ia - 1
1230 162290982 : IF (4*ias == 3*after) THEN
1231 5764208 : IF (isign == 1) THEN
1232 2957725 : nin1 = ia - after
1233 2957725 : nout1 = ia - atn
1234 12264626 : DO ib = 1, before
1235 9306901 : nin1 = nin1 + after
1236 9306901 : nin2 = nin1 + atb
1237 9306901 : nin3 = nin2 + atb
1238 9306901 : nout1 = nout1 + atn
1239 9306901 : nout2 = nout1 + after
1240 9306901 : nout3 = nout2 + after
1241 189882005 : DO j = 1, nfft
1242 177617379 : r1 = zin(1, j, nin1)
1243 177617379 : s1 = zin(2, j, nin1)
1244 177617379 : r2 = zin(2, j, nin2)
1245 177617379 : s2 = zin(1, j, nin2)
1246 177617379 : r3 = zin(1, j, nin3)
1247 177617379 : s3 = zin(2, j, nin3)
1248 177617379 : r = r3 + r2
1249 177617379 : s = s2 - s3
1250 177617379 : zout(1, j, nout1) = r1 - r
1251 177617379 : zout(2, j, nout1) = s + s1
1252 177617379 : r1 = r1 + .5_dp*r
1253 177617379 : s1 = s1 - .5_dp*s
1254 177617379 : r2 = bb*(r2 - r3)
1255 177617379 : s2 = bb*(s2 + s3)
1256 177617379 : zout(1, j, nout2) = r1 - s2
1257 177617379 : zout(2, j, nout2) = s1 - r2
1258 177617379 : zout(1, j, nout3) = r1 + s2
1259 186924280 : zout(2, j, nout3) = s1 + r2
1260 : END DO; END DO
1261 : ELSE
1262 2806483 : nin1 = ia - after
1263 2806483 : nout1 = ia - atn
1264 11624010 : DO ib = 1, before
1265 8817527 : nin1 = nin1 + after
1266 8817527 : nin2 = nin1 + atb
1267 8817527 : nin3 = nin2 + atb
1268 8817527 : nout1 = nout1 + atn
1269 8817527 : nout2 = nout1 + after
1270 8817527 : nout3 = nout2 + after
1271 180604038 : DO j = 1, nfft
1272 168980028 : r1 = zin(1, j, nin1)
1273 168980028 : s1 = zin(2, j, nin1)
1274 168980028 : r2 = zin(2, j, nin2)
1275 168980028 : s2 = zin(1, j, nin2)
1276 168980028 : r3 = zin(1, j, nin3)
1277 168980028 : s3 = zin(2, j, nin3)
1278 168980028 : r = r2 - r3
1279 168980028 : s = s2 + s3
1280 168980028 : zout(1, j, nout1) = r + r1
1281 168980028 : zout(2, j, nout1) = s1 - s
1282 168980028 : r1 = r1 - .5_dp*r
1283 168980028 : s1 = s1 + .5_dp*s
1284 168980028 : r2 = bb*(r2 + r3)
1285 168980028 : s2 = bb*(s2 - s3)
1286 168980028 : zout(1, j, nout2) = r1 + s2
1287 168980028 : zout(2, j, nout2) = s1 + r2
1288 168980028 : zout(1, j, nout3) = r1 - s2
1289 177797555 : zout(2, j, nout3) = s1 - r2
1290 : END DO; END DO
1291 : END IF
1292 156526774 : ELSE IF (8*ias == 3*after) THEN
1293 1808890 : IF (isign == 1) THEN
1294 927746 : nin1 = ia - after
1295 927746 : nout1 = ia - atn
1296 2248194 : DO ib = 1, before
1297 1320448 : nin1 = nin1 + after
1298 1320448 : nin2 = nin1 + atb
1299 1320448 : nin3 = nin2 + atb
1300 1320448 : nout1 = nout1 + atn
1301 1320448 : nout2 = nout1 + after
1302 1320448 : nout3 = nout2 + after
1303 28466755 : DO j = 1, nfft
1304 26218561 : r1 = zin(1, j, nin1)
1305 26218561 : s1 = zin(2, j, nin1)
1306 26218561 : r = zin(1, j, nin2)
1307 26218561 : s = zin(2, j, nin2)
1308 26218561 : r2 = (r - s)*rt2i
1309 26218561 : s2 = (r + s)*rt2i
1310 26218561 : r3 = zin(2, j, nin3)
1311 26218561 : s3 = zin(1, j, nin3)
1312 26218561 : r = r2 - r3
1313 26218561 : s = s2 + s3
1314 26218561 : zout(1, j, nout1) = r + r1
1315 26218561 : zout(2, j, nout1) = s + s1
1316 26218561 : r1 = r1 - .5_dp*r
1317 26218561 : s1 = s1 - .5_dp*s
1318 26218561 : r2 = bb*(r2 + r3)
1319 26218561 : s2 = bb*(s2 - s3)
1320 26218561 : zout(1, j, nout2) = r1 - s2
1321 26218561 : zout(2, j, nout2) = s1 + r2
1322 26218561 : zout(1, j, nout3) = r1 + s2
1323 27539009 : zout(2, j, nout3) = s1 - r2
1324 : END DO; END DO
1325 : ELSE
1326 881144 : nin1 = ia - after
1327 881144 : nout1 = ia - atn
1328 2132778 : DO ib = 1, before
1329 1251634 : nin1 = nin1 + after
1330 1251634 : nin2 = nin1 + atb
1331 1251634 : nin3 = nin2 + atb
1332 1251634 : nout1 = nout1 + atn
1333 1251634 : nout2 = nout1 + after
1334 1251634 : nout3 = nout2 + after
1335 26893836 : DO j = 1, nfft
1336 24761058 : r1 = zin(1, j, nin1)
1337 24761058 : s1 = zin(2, j, nin1)
1338 24761058 : r = zin(1, j, nin2)
1339 24761058 : s = zin(2, j, nin2)
1340 24761058 : r2 = (r + s)*rt2i
1341 24761058 : s2 = (s - r)*rt2i
1342 24761058 : r3 = zin(2, j, nin3)
1343 24761058 : s3 = zin(1, j, nin3)
1344 24761058 : r = r2 + r3
1345 24761058 : s = s2 - s3
1346 24761058 : zout(1, j, nout1) = r + r1
1347 24761058 : zout(2, j, nout1) = s + s1
1348 24761058 : r1 = r1 - .5_dp*r
1349 24761058 : s1 = s1 - .5_dp*s
1350 24761058 : r2 = bb*(r2 - r3)
1351 24761058 : s2 = bb*(s2 + s3)
1352 24761058 : zout(1, j, nout2) = r1 - s2
1353 24761058 : zout(2, j, nout2) = s1 + r2
1354 24761058 : zout(1, j, nout3) = r1 + s2
1355 26012692 : zout(2, j, nout3) = s1 - r2
1356 : END DO; END DO
1357 : END IF
1358 : ELSE
1359 154717884 : itt = ias*before
1360 154717884 : itrig = itt + 1
1361 154717884 : cr2 = trig(1, itrig)
1362 154717884 : ci2 = trig(2, itrig)
1363 154717884 : itrig = itrig + itt
1364 154717884 : cr3 = trig(1, itrig)
1365 154717884 : ci3 = trig(2, itrig)
1366 154717884 : nin1 = ia - after
1367 154717884 : nout1 = ia - atn
1368 381065876 : DO ib = 1, before
1369 226347992 : nin1 = nin1 + after
1370 226347992 : nin2 = nin1 + atb
1371 226347992 : nin3 = nin2 + atb
1372 226347992 : nout1 = nout1 + atn
1373 226347992 : nout2 = nout1 + after
1374 226347992 : nout3 = nout2 + after
1375 4369396683 : DO j = 1, nfft
1376 3988330807 : r1 = zin(1, j, nin1)
1377 3988330807 : s1 = zin(2, j, nin1)
1378 3988330807 : r = zin(1, j, nin2)
1379 3988330807 : s = zin(2, j, nin2)
1380 3988330807 : r2 = r*cr2 - s*ci2
1381 3988330807 : s2 = r*ci2 + s*cr2
1382 3988330807 : r = zin(1, j, nin3)
1383 3988330807 : s = zin(2, j, nin3)
1384 3988330807 : r3 = r*cr3 - s*ci3
1385 3988330807 : s3 = r*ci3 + s*cr3
1386 3988330807 : r = r2 + r3
1387 3988330807 : s = s2 + s3
1388 3988330807 : zout(1, j, nout1) = r + r1
1389 3988330807 : zout(2, j, nout1) = s + s1
1390 3988330807 : r1 = r1 - .5_dp*r
1391 3988330807 : s1 = s1 - .5_dp*s
1392 3988330807 : r2 = bb*(r2 - r3)
1393 3988330807 : s2 = bb*(s2 - s3)
1394 3988330807 : zout(1, j, nout2) = r1 - s2
1395 3988330807 : zout(2, j, nout2) = s1 + r2
1396 3988330807 : zout(1, j, nout3) = r1 + s2
1397 4214678799 : zout(2, j, nout3) = s1 - r2
1398 : END DO; END DO
1399 : END IF
1400 9383862 : 3000 CONTINUE
1401 : ELSE IF (now == 5) THEN
1402 : ! cos(2._dp*pi/5._dp)
1403 3422310 : cos2 = 0.3090169943749474_dp
1404 : ! cos(4._dp*pi/5._dp)
1405 3422310 : cos4 = -0.8090169943749474_dp
1406 : ! sin(2._dp*pi/5._dp)
1407 3422310 : sin2 = isign*0.9510565162951536_dp
1408 : ! sin(4._dp*pi/5._dp)
1409 3422310 : sin4 = isign*0.5877852522924731_dp
1410 3422310 : ia = 1
1411 3422310 : nin1 = ia - after
1412 3422310 : nout1 = ia - atn
1413 35666216 : DO ib = 1, before
1414 32243906 : nin1 = nin1 + after
1415 32243906 : nin2 = nin1 + atb
1416 32243906 : nin3 = nin2 + atb
1417 32243906 : nin4 = nin3 + atb
1418 32243906 : nin5 = nin4 + atb
1419 32243906 : nout1 = nout1 + atn
1420 32243906 : nout2 = nout1 + after
1421 32243906 : nout3 = nout2 + after
1422 32243906 : nout4 = nout3 + after
1423 32243906 : nout5 = nout4 + after
1424 685294455 : DO j = 1, nfft
1425 649628239 : r1 = zin(1, j, nin1)
1426 649628239 : s1 = zin(2, j, nin1)
1427 649628239 : r2 = zin(1, j, nin2)
1428 649628239 : s2 = zin(2, j, nin2)
1429 649628239 : r3 = zin(1, j, nin3)
1430 649628239 : s3 = zin(2, j, nin3)
1431 649628239 : r4 = zin(1, j, nin4)
1432 649628239 : s4 = zin(2, j, nin4)
1433 649628239 : r5 = zin(1, j, nin5)
1434 649628239 : s5 = zin(2, j, nin5)
1435 649628239 : r25 = r2 + r5
1436 649628239 : r34 = r3 + r4
1437 649628239 : s25 = s2 - s5
1438 649628239 : s34 = s3 - s4
1439 649628239 : zout(1, j, nout1) = r1 + r25 + r34
1440 649628239 : r = r1 + cos2*r25 + cos4*r34
1441 649628239 : s = sin2*s25 + sin4*s34
1442 649628239 : zout(1, j, nout2) = r - s
1443 649628239 : zout(1, j, nout5) = r + s
1444 649628239 : r = r1 + cos4*r25 + cos2*r34
1445 649628239 : s = sin4*s25 - sin2*s34
1446 649628239 : zout(1, j, nout3) = r - s
1447 649628239 : zout(1, j, nout4) = r + s
1448 649628239 : r25 = r2 - r5
1449 649628239 : r34 = r3 - r4
1450 649628239 : s25 = s2 + s5
1451 649628239 : s34 = s3 + s4
1452 649628239 : zout(2, j, nout1) = s1 + s25 + s34
1453 649628239 : r = s1 + cos2*s25 + cos4*s34
1454 649628239 : s = sin2*r25 + sin4*r34
1455 649628239 : zout(2, j, nout2) = r + s
1456 649628239 : zout(2, j, nout5) = r - s
1457 649628239 : r = s1 + cos4*s25 + cos2*s34
1458 649628239 : s = sin4*r25 - sin2*r34
1459 649628239 : zout(2, j, nout3) = r + s
1460 681872145 : zout(2, j, nout4) = r - s
1461 : END DO; END DO
1462 11671850 : DO 5000, ia = 2, after
1463 8249540 : ias = ia - 1
1464 8249540 : IF (8*ias == 5*after) THEN
1465 632504 : IF (isign == 1) THEN
1466 329466 : nin1 = ia - after
1467 329466 : nout1 = ia - atn
1468 959052 : DO ib = 1, before
1469 629586 : nin1 = nin1 + after
1470 629586 : nin2 = nin1 + atb
1471 629586 : nin3 = nin2 + atb
1472 629586 : nin4 = nin3 + atb
1473 629586 : nin5 = nin4 + atb
1474 629586 : nout1 = nout1 + atn
1475 629586 : nout2 = nout1 + after
1476 629586 : nout3 = nout2 + after
1477 629586 : nout4 = nout3 + after
1478 629586 : nout5 = nout4 + after
1479 14889639 : DO j = 1, nfft
1480 13930587 : r1 = zin(1, j, nin1)
1481 13930587 : s1 = zin(2, j, nin1)
1482 13930587 : r = zin(1, j, nin2)
1483 13930587 : s = zin(2, j, nin2)
1484 13930587 : r2 = (r - s)*rt2i
1485 13930587 : s2 = (r + s)*rt2i
1486 13930587 : r3 = zin(2, j, nin3)
1487 13930587 : s3 = zin(1, j, nin3)
1488 13930587 : r = zin(1, j, nin4)
1489 13930587 : s = zin(2, j, nin4)
1490 13930587 : r4 = (r + s)*rt2i
1491 13930587 : s4 = (r - s)*rt2i
1492 13930587 : r5 = zin(1, j, nin5)
1493 13930587 : s5 = zin(2, j, nin5)
1494 13930587 : r25 = r2 - r5
1495 13930587 : r34 = r3 + r4
1496 13930587 : s25 = s2 + s5
1497 13930587 : s34 = s3 - s4
1498 13930587 : zout(1, j, nout1) = r1 + r25 - r34
1499 13930587 : r = r1 + cos2*r25 - cos4*r34
1500 13930587 : s = sin2*s25 + sin4*s34
1501 13930587 : zout(1, j, nout2) = r - s
1502 13930587 : zout(1, j, nout5) = r + s
1503 13930587 : r = r1 + cos4*r25 - cos2*r34
1504 13930587 : s = sin4*s25 - sin2*s34
1505 13930587 : zout(1, j, nout3) = r - s
1506 13930587 : zout(1, j, nout4) = r + s
1507 13930587 : r25 = r2 + r5
1508 13930587 : r34 = r4 - r3
1509 13930587 : s25 = s2 - s5
1510 13930587 : s34 = s3 + s4
1511 13930587 : zout(2, j, nout1) = s1 + s25 + s34
1512 13930587 : r = s1 + cos2*s25 + cos4*s34
1513 13930587 : s = sin2*r25 + sin4*r34
1514 13930587 : zout(2, j, nout2) = r + s
1515 13930587 : zout(2, j, nout5) = r - s
1516 13930587 : r = s1 + cos4*s25 + cos2*s34
1517 13930587 : s = sin4*r25 - sin2*r34
1518 13930587 : zout(2, j, nout3) = r + s
1519 14560173 : zout(2, j, nout4) = r - s
1520 : END DO; END DO
1521 : ELSE
1522 303038 : nin1 = ia - after
1523 303038 : nout1 = ia - atn
1524 893020 : DO ib = 1, before
1525 589982 : nin1 = nin1 + after
1526 589982 : nin2 = nin1 + atb
1527 589982 : nin3 = nin2 + atb
1528 589982 : nin4 = nin3 + atb
1529 589982 : nin5 = nin4 + atb
1530 589982 : nout1 = nout1 + atn
1531 589982 : nout2 = nout1 + after
1532 589982 : nout3 = nout2 + after
1533 589982 : nout4 = nout3 + after
1534 589982 : nout5 = nout4 + after
1535 13731900 : DO j = 1, nfft
1536 12838880 : r1 = zin(1, j, nin1)
1537 12838880 : s1 = zin(2, j, nin1)
1538 12838880 : r = zin(1, j, nin2)
1539 12838880 : s = zin(2, j, nin2)
1540 12838880 : r2 = (r + s)*rt2i
1541 12838880 : s2 = (s - r)*rt2i
1542 12838880 : r3 = zin(2, j, nin3)
1543 12838880 : s3 = zin(1, j, nin3)
1544 12838880 : r = zin(1, j, nin4)
1545 12838880 : s = zin(2, j, nin4)
1546 12838880 : r4 = (s - r)*rt2i
1547 12838880 : s4 = (r + s)*rt2i
1548 12838880 : r5 = zin(1, j, nin5)
1549 12838880 : s5 = zin(2, j, nin5)
1550 12838880 : r25 = r2 - r5
1551 12838880 : r34 = r3 + r4
1552 12838880 : s25 = s2 + s5
1553 12838880 : s34 = s4 - s3
1554 12838880 : zout(1, j, nout1) = r1 + r25 + r34
1555 12838880 : r = r1 + cos2*r25 + cos4*r34
1556 12838880 : s = sin2*s25 + sin4*s34
1557 12838880 : zout(1, j, nout2) = r - s
1558 12838880 : zout(1, j, nout5) = r + s
1559 12838880 : r = r1 + cos4*r25 + cos2*r34
1560 12838880 : s = sin4*s25 - sin2*s34
1561 12838880 : zout(1, j, nout3) = r - s
1562 12838880 : zout(1, j, nout4) = r + s
1563 12838880 : r25 = r2 + r5
1564 12838880 : r34 = r3 - r4
1565 12838880 : s25 = s2 - s5
1566 12838880 : s34 = s3 + s4
1567 12838880 : zout(2, j, nout1) = s1 + s25 - s34
1568 12838880 : r = s1 + cos2*s25 - cos4*s34
1569 12838880 : s = sin2*r25 + sin4*r34
1570 12838880 : zout(2, j, nout2) = r + s
1571 12838880 : zout(2, j, nout5) = r - s
1572 12838880 : r = s1 + cos4*s25 - cos2*s34
1573 12838880 : s = sin4*r25 - sin2*r34
1574 12838880 : zout(2, j, nout3) = r + s
1575 13428862 : zout(2, j, nout4) = r - s
1576 : END DO; END DO
1577 : END IF
1578 : ELSE
1579 7617036 : ias = ia - 1
1580 7617036 : itt = ias*before
1581 7617036 : itrig = itt + 1
1582 7617036 : cr2 = trig(1, itrig)
1583 7617036 : ci2 = trig(2, itrig)
1584 7617036 : itrig = itrig + itt
1585 7617036 : cr3 = trig(1, itrig)
1586 7617036 : ci3 = trig(2, itrig)
1587 7617036 : itrig = itrig + itt
1588 7617036 : cr4 = trig(1, itrig)
1589 7617036 : ci4 = trig(2, itrig)
1590 7617036 : itrig = itrig + itt
1591 7617036 : cr5 = trig(1, itrig)
1592 7617036 : ci5 = trig(2, itrig)
1593 7617036 : nin1 = ia - after
1594 7617036 : nout1 = ia - atn
1595 24385896 : DO ib = 1, before
1596 16768860 : nin1 = nin1 + after
1597 16768860 : nin2 = nin1 + atb
1598 16768860 : nin3 = nin2 + atb
1599 16768860 : nin4 = nin3 + atb
1600 16768860 : nin5 = nin4 + atb
1601 16768860 : nout1 = nout1 + atn
1602 16768860 : nout2 = nout1 + after
1603 16768860 : nout3 = nout2 + after
1604 16768860 : nout4 = nout3 + after
1605 16768860 : nout5 = nout4 + after
1606 354863388 : DO j = 1, nfft
1607 330477492 : r1 = zin(1, j, nin1)
1608 330477492 : s1 = zin(2, j, nin1)
1609 330477492 : r = zin(1, j, nin2)
1610 330477492 : s = zin(2, j, nin2)
1611 330477492 : r2 = r*cr2 - s*ci2
1612 330477492 : s2 = r*ci2 + s*cr2
1613 330477492 : r = zin(1, j, nin3)
1614 330477492 : s = zin(2, j, nin3)
1615 330477492 : r3 = r*cr3 - s*ci3
1616 330477492 : s3 = r*ci3 + s*cr3
1617 330477492 : r = zin(1, j, nin4)
1618 330477492 : s = zin(2, j, nin4)
1619 330477492 : r4 = r*cr4 - s*ci4
1620 330477492 : s4 = r*ci4 + s*cr4
1621 330477492 : r = zin(1, j, nin5)
1622 330477492 : s = zin(2, j, nin5)
1623 330477492 : r5 = r*cr5 - s*ci5
1624 330477492 : s5 = r*ci5 + s*cr5
1625 330477492 : r25 = r2 + r5
1626 330477492 : r34 = r3 + r4
1627 330477492 : s25 = s2 - s5
1628 330477492 : s34 = s3 - s4
1629 330477492 : zout(1, j, nout1) = r1 + r25 + r34
1630 330477492 : r = r1 + cos2*r25 + cos4*r34
1631 330477492 : s = sin2*s25 + sin4*s34
1632 330477492 : zout(1, j, nout2) = r - s
1633 330477492 : zout(1, j, nout5) = r + s
1634 330477492 : r = r1 + cos4*r25 + cos2*r34
1635 330477492 : s = sin4*s25 - sin2*s34
1636 330477492 : zout(1, j, nout3) = r - s
1637 330477492 : zout(1, j, nout4) = r + s
1638 330477492 : r25 = r2 - r5
1639 330477492 : r34 = r3 - r4
1640 330477492 : s25 = s2 + s5
1641 330477492 : s34 = s3 + s4
1642 330477492 : zout(2, j, nout1) = s1 + s25 + s34
1643 330477492 : r = s1 + cos2*s25 + cos4*s34
1644 330477492 : s = sin2*r25 + sin4*r34
1645 330477492 : zout(2, j, nout2) = r + s
1646 330477492 : zout(2, j, nout5) = r - s
1647 330477492 : r = s1 + cos4*s25 + cos2*s34
1648 330477492 : s = sin4*r25 - sin2*r34
1649 330477492 : zout(2, j, nout3) = r + s
1650 347246352 : zout(2, j, nout4) = r - s
1651 : END DO; END DO
1652 : END IF
1653 3422310 : 5000 CONTINUE
1654 : ELSE IF (now == 6) THEN
1655 : ! .5_dp*sqrt(3._dp)
1656 2900359 : bb = isign*0.8660254037844387_dp
1657 :
1658 2900359 : ia = 1
1659 2900359 : nin1 = ia - after
1660 2900359 : nout1 = ia - atn
1661 40661125 : DO ib = 1, before
1662 37760766 : nin1 = nin1 + after
1663 37760766 : nin2 = nin1 + atb
1664 37760766 : nin3 = nin2 + atb
1665 37760766 : nin4 = nin3 + atb
1666 37760766 : nin5 = nin4 + atb
1667 37760766 : nin6 = nin5 + atb
1668 37760766 : nout1 = nout1 + atn
1669 37760766 : nout2 = nout1 + after
1670 37760766 : nout3 = nout2 + after
1671 37760766 : nout4 = nout3 + after
1672 37760766 : nout5 = nout4 + after
1673 37760766 : nout6 = nout5 + after
1674 648320745 : DO j = 1, nfft
1675 607659620 : r2 = zin(1, j, nin3)
1676 607659620 : s2 = zin(2, j, nin3)
1677 607659620 : r3 = zin(1, j, nin5)
1678 607659620 : s3 = zin(2, j, nin5)
1679 607659620 : r = r2 + r3
1680 607659620 : s = s2 + s3
1681 607659620 : r1 = zin(1, j, nin1)
1682 607659620 : s1 = zin(2, j, nin1)
1683 607659620 : ur1 = r + r1
1684 607659620 : ui1 = s + s1
1685 607659620 : r1 = r1 - .5_dp*r
1686 607659620 : s1 = s1 - .5_dp*s
1687 607659620 : r = r2 - r3
1688 607659620 : s = s2 - s3
1689 607659620 : ur2 = r1 - s*bb
1690 607659620 : ui2 = s1 + r*bb
1691 607659620 : ur3 = r1 + s*bb
1692 607659620 : ui3 = s1 - r*bb
1693 :
1694 607659620 : r2 = zin(1, j, nin6)
1695 607659620 : s2 = zin(2, j, nin6)
1696 607659620 : r3 = zin(1, j, nin2)
1697 607659620 : s3 = zin(2, j, nin2)
1698 607659620 : r = r2 + r3
1699 607659620 : s = s2 + s3
1700 607659620 : r1 = zin(1, j, nin4)
1701 607659620 : s1 = zin(2, j, nin4)
1702 607659620 : vr1 = r + r1
1703 607659620 : vi1 = s + s1
1704 607659620 : r1 = r1 - .5_dp*r
1705 607659620 : s1 = s1 - .5_dp*s
1706 607659620 : r = r2 - r3
1707 607659620 : s = s2 - s3
1708 607659620 : vr2 = r1 - s*bb
1709 607659620 : vi2 = s1 + r*bb
1710 607659620 : vr3 = r1 + s*bb
1711 607659620 : vi3 = s1 - r*bb
1712 :
1713 607659620 : zout(1, j, nout1) = ur1 + vr1
1714 607659620 : zout(2, j, nout1) = ui1 + vi1
1715 607659620 : zout(1, j, nout5) = ur2 + vr2
1716 607659620 : zout(2, j, nout5) = ui2 + vi2
1717 607659620 : zout(1, j, nout3) = ur3 + vr3
1718 607659620 : zout(2, j, nout3) = ui3 + vi3
1719 607659620 : zout(1, j, nout4) = ur1 - vr1
1720 607659620 : zout(2, j, nout4) = ui1 - vi1
1721 607659620 : zout(1, j, nout2) = ur2 - vr2
1722 607659620 : zout(2, j, nout2) = ui2 - vi2
1723 607659620 : zout(1, j, nout6) = ur3 - vr3
1724 645420386 : zout(2, j, nout6) = ui3 - vi3
1725 : END DO; END DO
1726 : ELSE
1727 0 : CPABORT("error fftstp")
1728 : END IF
1729 :
1730 23770864 : END SUBROUTINE fftstp
1731 :
1732 : END MODULE ps_wavelet_fft3d
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