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 117983 : 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 : CHARACTER(LEN=80) :: err
50 : INTEGER :: i
51 :
52 : !Multiple of 2,3,5
53 :
54 1962826 : loop_data: DO i = 1, ndata1024
55 1962826 : IF (n <= idata(i)) THEN
56 117983 : n_next = idata(i)
57 117983 : RETURN
58 : END IF
59 : END DO loop_data
60 0 : WRITE (unit=err, fmt=*) "fourier_dim: ", n, " is bigger than ", idata(ndata1024)
61 0 : CPABORT(TRIM(err))
62 : END SUBROUTINE fourier_dim
63 :
64 : ! Copyright (C) Stefan Goedecker, CEA Grenoble, 2002
65 : ! This file is distributed under the terms of the
66 : ! GNU General Public License, see http://www.gnu.org/copyleft/gpl.txt .
67 :
68 : ! --------------------------------------------------------------
69 : ! 3-dimensional complex-complex FFT routine:
70 : ! When compared to the best vendor implementations on RISC architectures
71 : ! it gives close to optimal performance (perhaps losing 20 percent in speed)
72 : ! and it is significantly faster than many not so good vendor implementations
73 : ! as well as other portable FFT's.
74 : ! On all vector machines tested so far (Cray, NEC, Fujitsu) is
75 : ! was significantly faster than the vendor routines
76 : ! The theoretical background is described in :
77 : ! 1) S. Goedecker: Rotating a three-dimensional array in optimal
78 : ! positions for vector processing: Case study for a three-dimensional Fast
79 : ! Fourier Transform, Comp. Phys. Commun. \underline{76}, 294 (1993)
80 : ! Citing of this reference is greatly appreciated if the routines are used
81 : ! for scientific work.
82 :
83 : ! Presumably good compiler flags:
84 : ! IBM, serial power 2: xlf -qarch=pwr2 -O2 -qmaxmem=-1
85 : ! with OpenMP: IBM: xlf_r -qfree -O4 -qarch=pwr3 -qtune=pwr3 -qsmp=omp -qmaxmem=-1 ;
86 : ! a.out
87 : ! DEC: f90 -O3 -arch ev67 -pipeline
88 : ! with OpenMP: DEC: f90 -O3 -arch ev67 -pipeline -omp -lelan ;
89 : ! prun -N1 -c4 a.out
90 :
91 : !-----------------------------------------------------------
92 :
93 : ! FFT PART -----------------------------------------------------------------
94 :
95 : ! **************************************************************************************************
96 : !> \brief ...
97 : !> \param n ...
98 : !> \param trig ...
99 : !> \param after ...
100 : !> \param before ...
101 : !> \param now ...
102 : !> \param isign ...
103 : !> \param ic ...
104 : ! **************************************************************************************************
105 103719 : SUBROUTINE ctrig(n, trig, after, before, now, isign, ic)
106 : ! Copyright (C) Stefan Goedecker, Lausanne, Switzerland, August 1, 1991
107 : ! Copyright (C) Stefan Goedecker, Cornell University, Ithaca, USA, 1994
108 : ! Copyright (C) Stefan Goedecker, MPI Stuttgart, Germany, 1999
109 : ! This file is distributed under the terms of the
110 : ! GNU General Public License, see http://www.gnu.org/copyleft/gpl.txt .
111 :
112 : ! Different factorizations affect the performance
113 : ! Factoring 64 as 4*4*4 might for example be faster on some machines than 8*8.
114 : INTEGER :: n
115 : REAL(KIND=dp) :: trig(2, ctrig_length)
116 : INTEGER :: after(7), before(7), now(7), isign, ic
117 :
118 : CHARACTER(LEN=888) :: err
119 : INTEGER :: i, itt, j, nh
120 : INTEGER, DIMENSION(7, 149) :: idata
121 : REAL(KIND=dp) :: angle, trigc, trigs, twopi
122 :
123 : ! The factor 6 is only allowed in the first place!
124 : DATA((idata(i, j), i=1, 7), j=1, 76)/ &
125 : 3, 3, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 1, &
126 : 5, 5, 1, 1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, &
127 : 8, 8, 1, 1, 1, 1, 1, 9, 3, 3, 1, 1, 1, 1, &
128 : 12, 4, 3, 1, 1, 1, 1, 15, 5, 3, 1, 1, 1, 1, &
129 : 16, 4, 4, 1, 1, 1, 1, 18, 6, 3, 1, 1, 1, 1, &
130 : 20, 5, 4, 1, 1, 1, 1, 24, 8, 3, 1, 1, 1, 1, &
131 : 25, 5, 5, 1, 1, 1, 1, 27, 3, 3, 3, 1, 1, 1, &
132 : 30, 6, 5, 1, 1, 1, 1, 32, 8, 4, 1, 1, 1, 1, &
133 : 36, 4, 3, 3, 1, 1, 1, 40, 8, 5, 1, 1, 1, 1, &
134 : 45, 5, 3, 3, 1, 1, 1, 48, 4, 4, 3, 1, 1, 1, &
135 : 54, 6, 3, 3, 1, 1, 1, 60, 5, 4, 3, 1, 1, 1, &
136 : 64, 8, 8, 1, 1, 1, 1, 72, 8, 3, 3, 1, 1, 1, &
137 : 75, 5, 5, 3, 1, 1, 1, 80, 5, 4, 4, 1, 1, 1, &
138 : 81, 3, 3, 3, 3, 1, 1, 90, 6, 5, 3, 1, 1, 1, &
139 : 96, 8, 4, 3, 1, 1, 1, 100, 5, 5, 4, 1, 1, 1, &
140 : 108, 4, 3, 3, 3, 1, 1, 120, 8, 5, 3, 1, 1, 1, &
141 : 125, 5, 5, 5, 1, 1, 1, 128, 8, 4, 4, 1, 1, 1, &
142 : 135, 5, 3, 3, 3, 1, 1, 144, 6, 8, 3, 1, 1, 1, &
143 : 150, 6, 5, 5, 1, 1, 1, 160, 8, 5, 4, 1, 1, 1, &
144 : 162, 6, 3, 3, 3, 1, 1, 180, 5, 4, 3, 3, 1, 1, &
145 : 192, 6, 8, 4, 1, 1, 1, 200, 8, 5, 5, 1, 1, 1, &
146 : 216, 8, 3, 3, 3, 1, 1, 225, 5, 5, 3, 3, 1, 1, &
147 : 240, 6, 8, 5, 1, 1, 1, 243, 3, 3, 3, 3, 3, 1, &
148 : 256, 8, 8, 4, 1, 1, 1, 270, 6, 5, 3, 3, 1, 1, &
149 : 288, 8, 4, 3, 3, 1, 1, 300, 5, 5, 4, 3, 1, 1, &
150 : 320, 5, 4, 4, 4, 1, 1, 324, 4, 3, 3, 3, 3, 1, &
151 : 360, 8, 5, 3, 3, 1, 1, 375, 5, 5, 5, 3, 1, 1, &
152 : 384, 8, 4, 4, 3, 1, 1, 400, 5, 5, 4, 4, 1, 1, &
153 : 405, 5, 3, 3, 3, 3, 1, 432, 4, 4, 3, 3, 3, 1, &
154 : 450, 6, 5, 5, 3, 1, 1, 480, 8, 5, 4, 3, 1, 1, &
155 : 486, 6, 3, 3, 3, 3, 1, 500, 5, 5, 5, 4, 1, 1, &
156 : 512, 8, 8, 8, 1, 1, 1, 540, 5, 4, 3, 3, 3, 1, &
157 : 576, 4, 4, 4, 3, 3, 1, 600, 8, 5, 5, 3, 1, 1, &
158 : 625, 5, 5, 5, 5, 1, 1, 640, 8, 5, 4, 4, 1, 1, &
159 : 648, 8, 3, 3, 3, 3, 1, 675, 5, 5, 3, 3, 3, 1, &
160 : 720, 5, 4, 4, 3, 3, 1, 729, 3, 3, 3, 3, 3, 3, &
161 : 750, 6, 5, 5, 5, 1, 1, 768, 4, 4, 4, 4, 3, 1, &
162 : 800, 8, 5, 5, 4, 1, 1, 810, 6, 5, 3, 3, 3, 1/
163 : DATA((idata(i, j), i=1, 7), j=77, 149)/ &
164 : 864, 8, 4, 3, 3, 3, 1, 900, 5, 5, 4, 3, 3, 1, &
165 : 960, 5, 4, 4, 4, 3, 1, 972, 4, 3, 3, 3, 3, 3, &
166 : 1000, 8, 5, 5, 5, 1, 1, 1024, 4, 4, 4, 4, 4, 1, &
167 : 1080, 6, 5, 4, 3, 3, 1, 1125, 5, 5, 5, 3, 3, 1, &
168 : 1152, 6, 4, 4, 4, 3, 1, 1200, 6, 8, 5, 5, 1, 1, &
169 : 1215, 5, 3, 3, 3, 3, 3, 1280, 8, 8, 5, 4, 1, 1, &
170 : 1296, 6, 8, 3, 3, 3, 1, 1350, 6, 5, 5, 3, 3, 1, &
171 : 1440, 6, 5, 4, 4, 3, 1, 1458, 6, 3, 3, 3, 3, 3, &
172 : 1500, 5, 5, 5, 4, 3, 1, 1536, 6, 8, 8, 4, 1, 1, &
173 : 1600, 8, 8, 5, 5, 1, 1, 1620, 5, 4, 3, 3, 3, 3, &
174 : 1728, 6, 8, 4, 3, 3, 1, 1800, 6, 5, 5, 4, 3, 1, &
175 : 1875, 5, 5, 5, 5, 3, 1, 1920, 6, 5, 4, 4, 4, 1, &
176 : 1944, 6, 4, 3, 3, 3, 3, 2000, 5, 5, 5, 4, 4, 1, &
177 : 2025, 5, 5, 3, 3, 3, 3, 2048, 8, 4, 4, 4, 4, 1, &
178 : 2160, 6, 8, 5, 3, 3, 1, 2250, 6, 5, 5, 5, 3, 1, &
179 : 2304, 6, 8, 4, 4, 3, 1, 2400, 6, 5, 5, 4, 4, 1, &
180 : 2430, 6, 5, 3, 3, 3, 3, 2500, 5, 5, 5, 5, 4, 1, &
181 : 2560, 8, 5, 4, 4, 4, 1, 2592, 6, 4, 4, 3, 3, 3, &
182 : 2700, 5, 5, 4, 3, 3, 3, 2880, 6, 8, 5, 4, 3, 1, &
183 : 3000, 6, 5, 5, 5, 4, 1, 3072, 6, 8, 4, 4, 4, 1, &
184 : 3125, 5, 5, 5, 5, 5, 1, 3200, 8, 5, 5, 4, 4, 1, &
185 : 3240, 6, 5, 4, 3, 3, 3, 3375, 5, 5, 5, 3, 3, 3, &
186 : 3456, 6, 4, 4, 4, 3, 3, 3600, 6, 8, 5, 5, 3, 1, &
187 : 3750, 6, 5, 5, 5, 5, 1, 3840, 6, 8, 5, 4, 4, 1, &
188 : 3888, 6, 8, 3, 3, 3, 3, 4000, 8, 5, 5, 5, 4, 1, &
189 : 4050, 6, 5, 5, 3, 3, 3, 4096, 8, 8, 4, 4, 4, 1, &
190 : 4320, 6, 5, 4, 4, 3, 3, 4500, 5, 5, 5, 4, 3, 3, &
191 : 4608, 6, 8, 8, 4, 3, 1, 4800, 6, 8, 5, 5, 4, 1, &
192 : 5000, 8, 5, 5, 5, 5, 1, 5120, 8, 8, 5, 4, 4, 1, &
193 : 5184, 6, 8, 4, 3, 3, 3, 5400, 6, 5, 5, 4, 3, 3, &
194 : 5625, 5, 5, 5, 5, 3, 3, 5760, 6, 8, 8, 5, 3, 1, &
195 : 6000, 6, 8, 5, 5, 5, 1, 6144, 6, 8, 8, 4, 4, 1, &
196 : 6400, 8, 8, 5, 5, 4, 1, 6480, 6, 8, 5, 3, 3, 3, &
197 : 6750, 6, 5, 5, 5, 3, 3, 6912, 6, 8, 4, 4, 3, 3, &
198 : 7200, 6, 5, 5, 4, 4, 3, 7500, 5, 5, 5, 5, 4, 3, &
199 : 7680, 6, 8, 8, 5, 4, 1, 8000, 8, 8, 5, 5, 5, 1, &
200 : 8192, 8, 8, 8, 4, 4, 1/
201 :
202 1734744 : DO i = 1, 150
203 1734744 : IF (i == 150) THEN
204 0 : WRITE (err, *) 'VALUE OF', n, 'NOT ALLOWED FOR FFT, ALLOWED VALUES ARE:'
205 : 37 FORMAT(15(i5))
206 0 : WRITE (err, 37) (idata(1, j), j=1, 149)
207 0 : CALL cp_abort(__LOCATION__, TRIM(err))
208 : END IF
209 1734744 : IF (n == idata(1, i)) THEN
210 103719 : ic = 0
211 355671 : DO j = 1, 6
212 355671 : itt = idata(1 + j, i)
213 355671 : IF (itt > 1) THEN
214 251952 : ic = ic + 1
215 251952 : now(j) = idata(1 + j, i)
216 : ELSE
217 : EXIT
218 : END IF
219 : END DO
220 : EXIT
221 : END IF
222 : END DO
223 :
224 103719 : after(1) = 1
225 103719 : before(ic) = 1
226 251952 : DO i = 2, ic
227 148233 : after(i) = after(i - 1)*now(i - 1)
228 251952 : before(ic - i + 1) = before(ic - i + 2)*now(ic - i + 2)
229 : END DO
230 :
231 103719 : twopi = 6.283185307179586_dp
232 103719 : angle = isign*twopi/n
233 103719 : IF (MOD(n, 2) == 0) THEN
234 92010 : nh = n/2
235 92010 : trig(1, 1) = 1._dp
236 92010 : trig(2, 1) = 0._dp
237 92010 : trig(1, nh + 1) = -1._dp
238 92010 : trig(2, nh + 1) = 0._dp
239 2123358 : DO 40, i = 1, nh - 1
240 2031348 : trigc = COS(i*angle)
241 2031348 : trigs = SIN(i*angle)
242 2031348 : trig(1, i + 1) = trigc
243 2031348 : trig(2, i + 1) = trigs
244 2031348 : trig(1, n - i + 1) = trigc
245 2031348 : trig(2, n - i + 1) = -trigs
246 92010 : 40 CONTINUE
247 : ELSE
248 11709 : nh = (n - 1)/2
249 11709 : trig(1, 1) = 1._dp
250 11709 : trig(2, 1) = 0._dp
251 117090 : DO 20, i = 1, nh
252 105381 : trigc = COS(i*angle)
253 105381 : trigs = SIN(i*angle)
254 105381 : trig(1, i + 1) = trigc
255 105381 : trig(2, i + 1) = trigs
256 105381 : trig(1, n - i + 1) = trigc
257 105381 : trig(2, n - i + 1) = -trigs
258 11709 : 20 CONTINUE
259 : END IF
260 :
261 103719 : END SUBROUTINE ctrig
262 :
263 : !ccccccccccccccccccccccccccccccccccccccccccccccc
264 :
265 : ! **************************************************************************************************
266 : !> \brief ...
267 : !> \param mm ...
268 : !> \param nfft ...
269 : !> \param m ...
270 : !> \param nn ...
271 : !> \param n ...
272 : !> \param zin ...
273 : !> \param zout ...
274 : !> \param trig ...
275 : !> \param after ...
276 : !> \param now ...
277 : !> \param before ...
278 : !> \param isign ...
279 : ! **************************************************************************************************
280 27944628 : SUBROUTINE fftstp(mm, nfft, m, nn, n, zin, zout, trig, after, now, before, isign)
281 : ! Copyright (C) Stefan Goedecker, Cornell University, Ithaca, USA, 1994
282 : ! Copyright (C) Stefan Goedecker, MPI Stuttgart, Germany, 1995, 1999
283 : ! This file is distributed under the terms of the
284 : ! GNU General Public License, see http://www.gnu.org/copyleft/gpl.txt .
285 :
286 : INTEGER :: mm, nfft, m, nn, n
287 : REAL(KIND=dp) :: zin(2, mm, m), zout(2, nn, n), &
288 : trig(2, ctrig_length)
289 : INTEGER :: after, now, before, isign
290 :
291 : INTEGER :: atb, atn, ia, ias, ib, itrig, itt, j, &
292 : nin1, nin2, nin3, nin4, nin5, nin6, &
293 : nin7, nin8, nout1, nout2, nout3, &
294 : nout4, nout5, nout6, nout7, nout8
295 : REAL(KIND=dp) :: am, ap, bb, bm, bp, ci2, ci3, ci4, ci5, ci6, ci7, ci8, cm, cos2, cos4, cp, &
296 : cr2, cr3, cr4, cr5, cr6, cr7, cr8, dm, dpp, r, r1, r2, r25, r3, r34, r4, r5, r6, r7, r8, &
297 : rt2i, s, s1, s2, s25, s3, s34, s4, s5, s6, s7, s8, sin2, sin4, ui1, ui2, ui3, ur1, ur2, &
298 : ur3, vi1, vi2, vi3, vr1, vr2, vr3
299 :
300 27944628 : atn = after*now
301 27944628 : atb = after*before
302 :
303 : ! sqrt(.5_dp)
304 27944628 : rt2i = 0.7071067811865475_dp
305 : IF (now == 2) THEN
306 0 : ia = 1
307 0 : nin1 = ia - after
308 0 : nout1 = ia - atn
309 0 : DO ib = 1, before
310 0 : nin1 = nin1 + after
311 0 : nin2 = nin1 + atb
312 0 : nout1 = nout1 + atn
313 0 : nout2 = nout1 + after
314 0 : DO j = 1, nfft
315 0 : r1 = zin(1, j, nin1)
316 0 : s1 = zin(2, j, nin1)
317 0 : r2 = zin(1, j, nin2)
318 0 : s2 = zin(2, j, nin2)
319 0 : zout(1, j, nout1) = r2 + r1
320 0 : zout(2, j, nout1) = s2 + s1
321 0 : zout(1, j, nout2) = r1 - r2
322 0 : zout(2, j, nout2) = s1 - s2
323 : END DO
324 : END DO
325 0 : DO 2000, ia = 2, after
326 0 : ias = ia - 1
327 0 : IF (2*ias == after) THEN
328 0 : IF (isign == 1) THEN
329 0 : nin1 = ia - after
330 0 : nout1 = ia - atn
331 0 : DO ib = 1, before
332 0 : nin1 = nin1 + after
333 0 : nin2 = nin1 + atb
334 0 : nout1 = nout1 + atn
335 0 : nout2 = nout1 + after
336 0 : DO j = 1, nfft
337 0 : r1 = zin(1, j, nin1)
338 0 : s1 = zin(2, j, nin1)
339 0 : r2 = zin(2, j, nin2)
340 0 : s2 = zin(1, j, nin2)
341 0 : zout(1, j, nout1) = r1 - r2
342 0 : zout(2, j, nout1) = s2 + s1
343 0 : zout(1, j, nout2) = r2 + r1
344 0 : zout(2, j, nout2) = s1 - s2
345 : END DO
346 : END DO
347 : ELSE
348 0 : nin1 = ia - after
349 0 : nout1 = ia - atn
350 0 : DO ib = 1, before
351 0 : nin1 = nin1 + after
352 0 : nin2 = nin1 + atb
353 0 : nout1 = nout1 + atn
354 0 : nout2 = nout1 + after
355 0 : DO j = 1, nfft
356 0 : r1 = zin(1, j, nin1)
357 0 : s1 = zin(2, j, nin1)
358 0 : r2 = zin(2, j, nin2)
359 0 : s2 = zin(1, j, nin2)
360 0 : zout(1, j, nout1) = r2 + r1
361 0 : zout(2, j, nout1) = s1 - s2
362 0 : zout(1, j, nout2) = r1 - r2
363 0 : zout(2, j, nout2) = s2 + s1
364 : END DO
365 : END DO
366 : END IF
367 0 : ELSE IF (4*ias == after) THEN
368 0 : IF (isign == 1) THEN
369 0 : nin1 = ia - after
370 0 : nout1 = ia - atn
371 0 : DO ib = 1, before
372 0 : nin1 = nin1 + after
373 0 : nin2 = nin1 + atb
374 0 : nout1 = nout1 + atn
375 0 : nout2 = nout1 + after
376 0 : DO j = 1, nfft
377 0 : r1 = zin(1, j, nin1)
378 0 : s1 = zin(2, j, nin1)
379 0 : r = zin(1, j, nin2)
380 0 : s = zin(2, j, nin2)
381 0 : r2 = (r - s)*rt2i
382 0 : s2 = (r + s)*rt2i
383 0 : zout(1, j, nout1) = r2 + r1
384 0 : zout(2, j, nout1) = s2 + s1
385 0 : zout(1, j, nout2) = r1 - r2
386 0 : zout(2, j, nout2) = s1 - s2
387 : END DO
388 : END DO
389 : ELSE
390 0 : nin1 = ia - after
391 0 : nout1 = ia - atn
392 0 : DO ib = 1, before
393 0 : nin1 = nin1 + after
394 0 : nin2 = nin1 + atb
395 0 : nout1 = nout1 + atn
396 0 : nout2 = nout1 + after
397 0 : DO j = 1, nfft
398 0 : r1 = zin(1, j, nin1)
399 0 : s1 = zin(2, j, nin1)
400 0 : r = zin(1, j, nin2)
401 0 : s = zin(2, j, nin2)
402 0 : r2 = (r + s)*rt2i
403 0 : s2 = (s - r)*rt2i
404 0 : zout(1, j, nout1) = r2 + r1
405 0 : zout(2, j, nout1) = s2 + s1
406 0 : zout(1, j, nout2) = r1 - r2
407 0 : zout(2, j, nout2) = s1 - s2
408 : END DO
409 : END DO
410 : END IF
411 0 : ELSE IF (4*ias == 3*after) THEN
412 0 : IF (isign == 1) THEN
413 0 : nin1 = ia - after
414 0 : nout1 = ia - atn
415 0 : DO ib = 1, before
416 0 : nin1 = nin1 + after
417 0 : nin2 = nin1 + atb
418 0 : nout1 = nout1 + atn
419 0 : nout2 = nout1 + after
420 0 : DO j = 1, nfft
421 0 : r1 = zin(1, j, nin1)
422 0 : s1 = zin(2, j, nin1)
423 0 : r = zin(1, j, nin2)
424 0 : s = zin(2, j, nin2)
425 0 : r2 = (r + s)*rt2i
426 0 : s2 = (r - s)*rt2i
427 0 : zout(1, j, nout1) = r1 - r2
428 0 : zout(2, j, nout1) = s2 + s1
429 0 : zout(1, j, nout2) = r2 + r1
430 0 : zout(2, j, nout2) = s1 - s2
431 : END DO
432 : END DO
433 : ELSE
434 0 : nin1 = ia - after
435 0 : nout1 = ia - atn
436 0 : DO ib = 1, before
437 0 : nin1 = nin1 + after
438 0 : nin2 = nin1 + atb
439 0 : nout1 = nout1 + atn
440 0 : nout2 = nout1 + after
441 0 : DO j = 1, nfft
442 0 : r1 = zin(1, j, nin1)
443 0 : s1 = zin(2, j, nin1)
444 0 : r = zin(1, j, nin2)
445 0 : s = zin(2, j, nin2)
446 0 : r2 = (s - r)*rt2i
447 0 : s2 = (r + s)*rt2i
448 0 : zout(1, j, nout1) = r2 + r1
449 0 : zout(2, j, nout1) = s1 - s2
450 0 : zout(1, j, nout2) = r1 - r2
451 0 : zout(2, j, nout2) = s2 + s1
452 : END DO
453 : END DO
454 : END IF
455 : ELSE
456 0 : itrig = ias*before + 1
457 0 : cr2 = trig(1, itrig)
458 0 : ci2 = trig(2, itrig)
459 0 : nin1 = ia - after
460 0 : nout1 = ia - atn
461 0 : DO ib = 1, before
462 0 : nin1 = nin1 + after
463 0 : nin2 = nin1 + atb
464 0 : nout1 = nout1 + atn
465 0 : nout2 = nout1 + after
466 0 : DO j = 1, nfft
467 0 : r1 = zin(1, j, nin1)
468 0 : s1 = zin(2, j, nin1)
469 0 : r = zin(1, j, nin2)
470 0 : s = zin(2, j, nin2)
471 0 : r2 = r*cr2 - s*ci2
472 0 : s2 = r*ci2 + s*cr2
473 0 : zout(1, j, nout1) = r2 + r1
474 0 : zout(2, j, nout1) = s2 + s1
475 0 : zout(1, j, nout2) = r1 - r2
476 0 : zout(2, j, nout2) = s1 - s2
477 : END DO
478 : END DO
479 : END IF
480 0 : 2000 CONTINUE
481 : ELSE IF (now == 4) THEN
482 6419972 : IF (isign == 1) THEN
483 3310933 : ia = 1
484 3310933 : nin1 = ia - after
485 3310933 : nout1 = ia - atn
486 26871095 : DO ib = 1, before
487 23560162 : nin1 = nin1 + after
488 23560162 : nin2 = nin1 + atb
489 23560162 : nin3 = nin2 + atb
490 23560162 : nin4 = nin3 + atb
491 23560162 : nout1 = nout1 + atn
492 23560162 : nout2 = nout1 + after
493 23560162 : nout3 = nout2 + after
494 23560162 : nout4 = nout3 + after
495 484353050 : DO j = 1, nfft
496 457481955 : r1 = zin(1, j, nin1)
497 457481955 : s1 = zin(2, j, nin1)
498 457481955 : r2 = zin(1, j, nin2)
499 457481955 : s2 = zin(2, j, nin2)
500 457481955 : r3 = zin(1, j, nin3)
501 457481955 : s3 = zin(2, j, nin3)
502 457481955 : r4 = zin(1, j, nin4)
503 457481955 : s4 = zin(2, j, nin4)
504 457481955 : r = r1 + r3
505 457481955 : s = r2 + r4
506 457481955 : zout(1, j, nout1) = r + s
507 457481955 : zout(1, j, nout3) = r - s
508 457481955 : r = r1 - r3
509 457481955 : s = s2 - s4
510 457481955 : zout(1, j, nout2) = r - s
511 457481955 : zout(1, j, nout4) = r + s
512 457481955 : r = s1 + s3
513 457481955 : s = s2 + s4
514 457481955 : zout(2, j, nout1) = r + s
515 457481955 : zout(2, j, nout3) = r - s
516 457481955 : r = s1 - s3
517 457481955 : s = r2 - r4
518 457481955 : zout(2, j, nout2) = r + s
519 481042117 : zout(2, j, nout4) = r - s
520 : END DO
521 : END DO
522 40099520 : DO 4000, ia = 2, after
523 36788587 : ias = ia - 1
524 36788587 : IF (2*ias == after) THEN
525 1487245 : nin1 = ia - after
526 1487245 : nout1 = ia - atn
527 3451520 : DO ib = 1, before
528 1964275 : nin1 = nin1 + after
529 1964275 : nin2 = nin1 + atb
530 1964275 : nin3 = nin2 + atb
531 1964275 : nin4 = nin3 + atb
532 1964275 : nout1 = nout1 + atn
533 1964275 : nout2 = nout1 + after
534 1964275 : nout3 = nout2 + after
535 1964275 : nout4 = nout3 + after
536 40336897 : DO j = 1, nfft
537 36885377 : r1 = zin(1, j, nin1)
538 36885377 : s1 = zin(2, j, nin1)
539 36885377 : r = zin(1, j, nin2)
540 36885377 : s = zin(2, j, nin2)
541 36885377 : r2 = (r - s)*rt2i
542 36885377 : s2 = (r + s)*rt2i
543 36885377 : r3 = zin(2, j, nin3)
544 36885377 : s3 = zin(1, j, nin3)
545 36885377 : r = zin(1, j, nin4)
546 36885377 : s = zin(2, j, nin4)
547 36885377 : r4 = (r + s)*rt2i
548 36885377 : s4 = (r - s)*rt2i
549 36885377 : r = r1 - r3
550 36885377 : s = r2 - r4
551 36885377 : zout(1, j, nout1) = r + s
552 36885377 : zout(1, j, nout3) = r - s
553 36885377 : r = r1 + r3
554 36885377 : s = s2 - s4
555 36885377 : zout(1, j, nout2) = r - s
556 36885377 : zout(1, j, nout4) = r + s
557 36885377 : r = s1 + s3
558 36885377 : s = s2 + s4
559 36885377 : zout(2, j, nout1) = r + s
560 36885377 : zout(2, j, nout3) = r - s
561 36885377 : r = s1 - s3
562 36885377 : s = r2 + r4
563 36885377 : zout(2, j, nout2) = r + s
564 38849652 : zout(2, j, nout4) = r - s
565 : END DO
566 : END DO
567 : ELSE
568 35301342 : itt = ias*before
569 35301342 : itrig = itt + 1
570 35301342 : cr2 = trig(1, itrig)
571 35301342 : ci2 = trig(2, itrig)
572 35301342 : itrig = itrig + itt
573 35301342 : cr3 = trig(1, itrig)
574 35301342 : ci3 = trig(2, itrig)
575 35301342 : itrig = itrig + itt
576 35301342 : cr4 = trig(1, itrig)
577 35301342 : ci4 = trig(2, itrig)
578 35301342 : nin1 = ia - after
579 35301342 : nout1 = ia - atn
580 85071396 : DO ib = 1, before
581 49770054 : nin1 = nin1 + after
582 49770054 : nin2 = nin1 + atb
583 49770054 : nin3 = nin2 + atb
584 49770054 : nin4 = nin3 + atb
585 49770054 : nout1 = nout1 + atn
586 49770054 : nout2 = nout1 + after
587 49770054 : nout3 = nout2 + after
588 49770054 : nout4 = nout3 + after
589 976023890 : DO j = 1, nfft
590 890952494 : r1 = zin(1, j, nin1)
591 890952494 : s1 = zin(2, j, nin1)
592 890952494 : r = zin(1, j, nin2)
593 890952494 : s = zin(2, j, nin2)
594 890952494 : r2 = r*cr2 - s*ci2
595 890952494 : s2 = r*ci2 + s*cr2
596 890952494 : r = zin(1, j, nin3)
597 890952494 : s = zin(2, j, nin3)
598 890952494 : r3 = r*cr3 - s*ci3
599 890952494 : s3 = r*ci3 + s*cr3
600 890952494 : r = zin(1, j, nin4)
601 890952494 : s = zin(2, j, nin4)
602 890952494 : r4 = r*cr4 - s*ci4
603 890952494 : s4 = r*ci4 + s*cr4
604 890952494 : r = r1 + r3
605 890952494 : s = r2 + r4
606 890952494 : zout(1, j, nout1) = r + s
607 890952494 : zout(1, j, nout3) = r - s
608 890952494 : r = r1 - r3
609 890952494 : s = s2 - s4
610 890952494 : zout(1, j, nout2) = r - s
611 890952494 : zout(1, j, nout4) = r + s
612 890952494 : r = s1 + s3
613 890952494 : s = s2 + s4
614 890952494 : zout(2, j, nout1) = r + s
615 890952494 : zout(2, j, nout3) = r - s
616 890952494 : r = s1 - s3
617 890952494 : s = r2 - r4
618 890952494 : zout(2, j, nout2) = r + s
619 940722548 : zout(2, j, nout4) = r - s
620 : END DO
621 : END DO
622 : END IF
623 3310933 : 4000 CONTINUE
624 : ELSE
625 3109039 : ia = 1
626 3109039 : nin1 = ia - after
627 3109039 : nout1 = ia - atn
628 25355656 : DO ib = 1, before
629 22246617 : nin1 = nin1 + after
630 22246617 : nin2 = nin1 + atb
631 22246617 : nin3 = nin2 + atb
632 22246617 : nin4 = nin3 + atb
633 22246617 : nout1 = nout1 + atn
634 22246617 : nout2 = nout1 + after
635 22246617 : nout3 = nout2 + after
636 22246617 : nout4 = nout3 + after
637 458128626 : DO j = 1, nfft
638 432772970 : r1 = zin(1, j, nin1)
639 432772970 : s1 = zin(2, j, nin1)
640 432772970 : r2 = zin(1, j, nin2)
641 432772970 : s2 = zin(2, j, nin2)
642 432772970 : r3 = zin(1, j, nin3)
643 432772970 : s3 = zin(2, j, nin3)
644 432772970 : r4 = zin(1, j, nin4)
645 432772970 : s4 = zin(2, j, nin4)
646 432772970 : r = r1 + r3
647 432772970 : s = r2 + r4
648 432772970 : zout(1, j, nout1) = r + s
649 432772970 : zout(1, j, nout3) = r - s
650 432772970 : r = r1 - r3
651 432772970 : s = s2 - s4
652 432772970 : zout(1, j, nout2) = r + s
653 432772970 : zout(1, j, nout4) = r - s
654 432772970 : r = s1 + s3
655 432772970 : s = s2 + s4
656 432772970 : zout(2, j, nout1) = r + s
657 432772970 : zout(2, j, nout3) = r - s
658 432772970 : r = s1 - s3
659 432772970 : s = r2 - r4
660 432772970 : zout(2, j, nout2) = r - s
661 455019587 : zout(2, j, nout4) = r + s
662 : END DO
663 : END DO
664 37179883 : DO 4100, ia = 2, after
665 34070844 : ias = ia - 1
666 34070844 : IF (2*ias == after) THEN
667 1383936 : nin1 = ia - after
668 1383936 : nout1 = ia - atn
669 3191406 : DO ib = 1, before
670 1807470 : nin1 = nin1 + after
671 1807470 : nin2 = nin1 + atb
672 1807470 : nin3 = nin2 + atb
673 1807470 : nin4 = nin3 + atb
674 1807470 : nout1 = nout1 + atn
675 1807470 : nout2 = nout1 + after
676 1807470 : nout3 = nout2 + after
677 1807470 : nout4 = nout3 + after
678 37121666 : DO j = 1, nfft
679 33930260 : r1 = zin(1, j, nin1)
680 33930260 : s1 = zin(2, j, nin1)
681 33930260 : r = zin(1, j, nin2)
682 33930260 : s = zin(2, j, nin2)
683 33930260 : r2 = (r + s)*rt2i
684 33930260 : s2 = (s - r)*rt2i
685 33930260 : r3 = zin(2, j, nin3)
686 33930260 : s3 = zin(1, j, nin3)
687 33930260 : r = zin(1, j, nin4)
688 33930260 : s = zin(2, j, nin4)
689 33930260 : r4 = (s - r)*rt2i
690 33930260 : s4 = (r + s)*rt2i
691 33930260 : r = r1 + r3
692 33930260 : s = r2 + r4
693 33930260 : zout(1, j, nout1) = r + s
694 33930260 : zout(1, j, nout3) = r - s
695 33930260 : r = r1 - r3
696 33930260 : s = s2 + s4
697 33930260 : zout(1, j, nout2) = r + s
698 33930260 : zout(1, j, nout4) = r - s
699 33930260 : r = s1 - s3
700 33930260 : s = s2 - s4
701 33930260 : zout(2, j, nout1) = r + s
702 33930260 : zout(2, j, nout3) = r - s
703 33930260 : r = s1 + s3
704 33930260 : s = r2 - r4
705 33930260 : zout(2, j, nout2) = r - s
706 35737730 : zout(2, j, nout4) = r + s
707 : END DO
708 : END DO
709 : ELSE
710 32686908 : itt = ias*before
711 32686908 : itrig = itt + 1
712 32686908 : cr2 = trig(1, itrig)
713 32686908 : ci2 = trig(2, itrig)
714 32686908 : itrig = itrig + itt
715 32686908 : cr3 = trig(1, itrig)
716 32686908 : ci3 = trig(2, itrig)
717 32686908 : itrig = itrig + itt
718 32686908 : cr4 = trig(1, itrig)
719 32686908 : ci4 = trig(2, itrig)
720 32686908 : nin1 = ia - after
721 32686908 : nout1 = ia - atn
722 78879792 : DO ib = 1, before
723 46192884 : nin1 = nin1 + after
724 46192884 : nin2 = nin1 + atb
725 46192884 : nin3 = nin2 + atb
726 46192884 : nin4 = nin3 + atb
727 46192884 : nout1 = nout1 + atn
728 46192884 : nout2 = nout1 + after
729 46192884 : nout3 = nout2 + after
730 46192884 : nout4 = nout3 + after
731 907265976 : DO j = 1, nfft
732 828386184 : r1 = zin(1, j, nin1)
733 828386184 : s1 = zin(2, j, nin1)
734 828386184 : r = zin(1, j, nin2)
735 828386184 : s = zin(2, j, nin2)
736 828386184 : r2 = r*cr2 - s*ci2
737 828386184 : s2 = r*ci2 + s*cr2
738 828386184 : r = zin(1, j, nin3)
739 828386184 : s = zin(2, j, nin3)
740 828386184 : r3 = r*cr3 - s*ci3
741 828386184 : s3 = r*ci3 + s*cr3
742 828386184 : r = zin(1, j, nin4)
743 828386184 : s = zin(2, j, nin4)
744 828386184 : r4 = r*cr4 - s*ci4
745 828386184 : s4 = r*ci4 + s*cr4
746 828386184 : r = r1 + r3
747 828386184 : s = r2 + r4
748 828386184 : zout(1, j, nout1) = r + s
749 828386184 : zout(1, j, nout3) = r - s
750 828386184 : r = r1 - r3
751 828386184 : s = s2 - s4
752 828386184 : zout(1, j, nout2) = r + s
753 828386184 : zout(1, j, nout4) = r - s
754 828386184 : r = s1 + s3
755 828386184 : s = s2 + s4
756 828386184 : zout(2, j, nout1) = r + s
757 828386184 : zout(2, j, nout3) = r - s
758 828386184 : r = s1 - s3
759 828386184 : s = r2 - r4
760 828386184 : zout(2, j, nout2) = r - s
761 874579068 : zout(2, j, nout4) = r + s
762 : END DO
763 : END DO
764 : END IF
765 3109039 : 4100 CONTINUE
766 : END IF
767 : ELSE IF (now == 8) THEN
768 2735047 : IF (isign == -1) THEN
769 1315608 : ia = 1
770 1315608 : nin1 = ia - after
771 1315608 : nout1 = ia - atn
772 13265578 : DO ib = 1, before
773 11949970 : nin1 = nin1 + after
774 11949970 : nin2 = nin1 + atb
775 11949970 : nin3 = nin2 + atb
776 11949970 : nin4 = nin3 + atb
777 11949970 : nin5 = nin4 + atb
778 11949970 : nin6 = nin5 + atb
779 11949970 : nin7 = nin6 + atb
780 11949970 : nin8 = nin7 + atb
781 11949970 : nout1 = nout1 + atn
782 11949970 : nout2 = nout1 + after
783 11949970 : nout3 = nout2 + after
784 11949970 : nout4 = nout3 + after
785 11949970 : nout5 = nout4 + after
786 11949970 : nout6 = nout5 + after
787 11949970 : nout7 = nout6 + after
788 11949970 : nout8 = nout7 + after
789 212336806 : DO j = 1, nfft
790 199071228 : r1 = zin(1, j, nin1)
791 199071228 : s1 = zin(2, j, nin1)
792 199071228 : r2 = zin(1, j, nin2)
793 199071228 : s2 = zin(2, j, nin2)
794 199071228 : r3 = zin(1, j, nin3)
795 199071228 : s3 = zin(2, j, nin3)
796 199071228 : r4 = zin(1, j, nin4)
797 199071228 : s4 = zin(2, j, nin4)
798 199071228 : r5 = zin(1, j, nin5)
799 199071228 : s5 = zin(2, j, nin5)
800 199071228 : r6 = zin(1, j, nin6)
801 199071228 : s6 = zin(2, j, nin6)
802 199071228 : r7 = zin(1, j, nin7)
803 199071228 : s7 = zin(2, j, nin7)
804 199071228 : r8 = zin(1, j, nin8)
805 199071228 : s8 = zin(2, j, nin8)
806 199071228 : r = r1 + r5
807 199071228 : s = r3 + r7
808 199071228 : ap = r + s
809 199071228 : am = r - s
810 199071228 : r = r2 + r6
811 199071228 : s = r4 + r8
812 199071228 : bp = r + s
813 199071228 : bm = r - s
814 199071228 : r = s1 + s5
815 199071228 : s = s3 + s7
816 199071228 : cp = r + s
817 199071228 : cm = r - s
818 199071228 : r = s2 + s6
819 199071228 : s = s4 + s8
820 199071228 : dpp = r + s
821 199071228 : dm = r - s
822 199071228 : zout(1, j, nout1) = ap + bp
823 199071228 : zout(2, j, nout1) = cp + dpp
824 199071228 : zout(1, j, nout5) = ap - bp
825 199071228 : zout(2, j, nout5) = cp - dpp
826 199071228 : zout(1, j, nout3) = am + dm
827 199071228 : zout(2, j, nout3) = cm - bm
828 199071228 : zout(1, j, nout7) = am - dm
829 199071228 : zout(2, j, nout7) = cm + bm
830 199071228 : r = r1 - r5
831 199071228 : s = s3 - s7
832 199071228 : ap = r + s
833 199071228 : am = r - s
834 199071228 : r = s1 - s5
835 199071228 : s = r3 - r7
836 199071228 : bp = r + s
837 199071228 : bm = r - s
838 199071228 : r = s4 - s8
839 199071228 : s = r2 - r6
840 199071228 : cp = r + s
841 199071228 : cm = r - s
842 199071228 : r = s2 - s6
843 199071228 : s = r4 - r8
844 199071228 : dpp = r + s
845 199071228 : dm = r - s
846 199071228 : r = (cp + dm)*rt2i
847 199071228 : s = (dm - cp)*rt2i
848 199071228 : cp = (cm + dpp)*rt2i
849 199071228 : dpp = (cm - dpp)*rt2i
850 199071228 : zout(1, j, nout2) = ap + r
851 199071228 : zout(2, j, nout2) = bm + s
852 199071228 : zout(1, j, nout6) = ap - r
853 199071228 : zout(2, j, nout6) = bm - s
854 199071228 : zout(1, j, nout4) = am + cp
855 199071228 : zout(2, j, nout4) = bp + dpp
856 199071228 : zout(1, j, nout8) = am - cp
857 211021198 : zout(2, j, nout8) = bp - dpp
858 : END DO
859 : END DO
860 3772677 : DO 8000, ia = 2, after
861 2457069 : ias = ia - 1
862 2457069 : itt = ias*before
863 2457069 : itrig = itt + 1
864 2457069 : cr2 = trig(1, itrig)
865 2457069 : ci2 = trig(2, itrig)
866 2457069 : itrig = itrig + itt
867 2457069 : cr3 = trig(1, itrig)
868 2457069 : ci3 = trig(2, itrig)
869 2457069 : itrig = itrig + itt
870 2457069 : cr4 = trig(1, itrig)
871 2457069 : ci4 = trig(2, itrig)
872 2457069 : itrig = itrig + itt
873 2457069 : cr5 = trig(1, itrig)
874 2457069 : ci5 = trig(2, itrig)
875 2457069 : itrig = itrig + itt
876 2457069 : cr6 = trig(1, itrig)
877 2457069 : ci6 = trig(2, itrig)
878 2457069 : itrig = itrig + itt
879 2457069 : cr7 = trig(1, itrig)
880 2457069 : ci7 = trig(2, itrig)
881 2457069 : itrig = itrig + itt
882 2457069 : cr8 = trig(1, itrig)
883 2457069 : ci8 = trig(2, itrig)
884 2457069 : nin1 = ia - after
885 2457069 : nout1 = ia - atn
886 9820232 : DO ib = 1, before
887 7363163 : nin1 = nin1 + after
888 7363163 : nin2 = nin1 + atb
889 7363163 : nin3 = nin2 + atb
890 7363163 : nin4 = nin3 + atb
891 7363163 : nin5 = nin4 + atb
892 7363163 : nin6 = nin5 + atb
893 7363163 : nin7 = nin6 + atb
894 7363163 : nin8 = nin7 + atb
895 7363163 : nout1 = nout1 + atn
896 7363163 : nout2 = nout1 + after
897 7363163 : nout3 = nout2 + after
898 7363163 : nout4 = nout3 + after
899 7363163 : nout5 = nout4 + after
900 7363163 : nout6 = nout5 + after
901 7363163 : nout7 = nout6 + after
902 7363163 : nout8 = nout7 + after
903 96206880 : DO j = 1, nfft
904 86386648 : r1 = zin(1, j, nin1)
905 86386648 : s1 = zin(2, j, nin1)
906 86386648 : r = zin(1, j, nin2)
907 86386648 : s = zin(2, j, nin2)
908 86386648 : r2 = r*cr2 - s*ci2
909 86386648 : s2 = r*ci2 + s*cr2
910 86386648 : r = zin(1, j, nin3)
911 86386648 : s = zin(2, j, nin3)
912 86386648 : r3 = r*cr3 - s*ci3
913 86386648 : s3 = r*ci3 + s*cr3
914 86386648 : r = zin(1, j, nin4)
915 86386648 : s = zin(2, j, nin4)
916 86386648 : r4 = r*cr4 - s*ci4
917 86386648 : s4 = r*ci4 + s*cr4
918 86386648 : r = zin(1, j, nin5)
919 86386648 : s = zin(2, j, nin5)
920 86386648 : r5 = r*cr5 - s*ci5
921 86386648 : s5 = r*ci5 + s*cr5
922 86386648 : r = zin(1, j, nin6)
923 86386648 : s = zin(2, j, nin6)
924 86386648 : r6 = r*cr6 - s*ci6
925 86386648 : s6 = r*ci6 + s*cr6
926 86386648 : r = zin(1, j, nin7)
927 86386648 : s = zin(2, j, nin7)
928 86386648 : r7 = r*cr7 - s*ci7
929 86386648 : s7 = r*ci7 + s*cr7
930 86386648 : r = zin(1, j, nin8)
931 86386648 : s = zin(2, j, nin8)
932 86386648 : r8 = r*cr8 - s*ci8
933 86386648 : s8 = r*ci8 + s*cr8
934 86386648 : r = r1 + r5
935 86386648 : s = r3 + r7
936 86386648 : ap = r + s
937 86386648 : am = r - s
938 86386648 : r = r2 + r6
939 86386648 : s = r4 + r8
940 86386648 : bp = r + s
941 86386648 : bm = r - s
942 86386648 : r = s1 + s5
943 86386648 : s = s3 + s7
944 86386648 : cp = r + s
945 86386648 : cm = r - s
946 86386648 : r = s2 + s6
947 86386648 : s = s4 + s8
948 86386648 : dpp = r + s
949 86386648 : dm = r - s
950 86386648 : zout(1, j, nout1) = ap + bp
951 86386648 : zout(2, j, nout1) = cp + dpp
952 86386648 : zout(1, j, nout5) = ap - bp
953 86386648 : zout(2, j, nout5) = cp - dpp
954 86386648 : zout(1, j, nout3) = am + dm
955 86386648 : zout(2, j, nout3) = cm - bm
956 86386648 : zout(1, j, nout7) = am - dm
957 86386648 : zout(2, j, nout7) = cm + bm
958 86386648 : r = r1 - r5
959 86386648 : s = s3 - s7
960 86386648 : ap = r + s
961 86386648 : am = r - s
962 86386648 : r = s1 - s5
963 86386648 : s = r3 - r7
964 86386648 : bp = r + s
965 86386648 : bm = r - s
966 86386648 : r = s4 - s8
967 86386648 : s = r2 - r6
968 86386648 : cp = r + s
969 86386648 : cm = r - s
970 86386648 : r = s2 - s6
971 86386648 : s = r4 - r8
972 86386648 : dpp = r + s
973 86386648 : dm = r - s
974 86386648 : r = (cp + dm)*rt2i
975 86386648 : s = (dm - cp)*rt2i
976 86386648 : cp = (cm + dpp)*rt2i
977 86386648 : dpp = (cm - dpp)*rt2i
978 86386648 : zout(1, j, nout2) = ap + r
979 86386648 : zout(2, j, nout2) = bm + s
980 86386648 : zout(1, j, nout6) = ap - r
981 86386648 : zout(2, j, nout6) = bm - s
982 86386648 : zout(1, j, nout4) = am + cp
983 86386648 : zout(2, j, nout4) = bp + dpp
984 86386648 : zout(1, j, nout8) = am - cp
985 93749811 : zout(2, j, nout8) = bp - dpp
986 : END DO
987 : END DO
988 1315608 : 8000 CONTINUE
989 :
990 : ELSE
991 1419439 : ia = 1
992 1419439 : nin1 = ia - after
993 1419439 : nout1 = ia - atn
994 14470754 : DO ib = 1, before
995 13051315 : nin1 = nin1 + after
996 13051315 : nin2 = nin1 + atb
997 13051315 : nin3 = nin2 + atb
998 13051315 : nin4 = nin3 + atb
999 13051315 : nin5 = nin4 + atb
1000 13051315 : nin6 = nin5 + atb
1001 13051315 : nin7 = nin6 + atb
1002 13051315 : nin8 = nin7 + atb
1003 13051315 : nout1 = nout1 + atn
1004 13051315 : nout2 = nout1 + after
1005 13051315 : nout3 = nout2 + after
1006 13051315 : nout4 = nout3 + after
1007 13051315 : nout5 = nout4 + after
1008 13051315 : nout6 = nout5 + after
1009 13051315 : nout7 = nout6 + after
1010 13051315 : nout8 = nout7 + after
1011 230990232 : DO j = 1, nfft
1012 216519478 : r1 = zin(1, j, nin1)
1013 216519478 : s1 = zin(2, j, nin1)
1014 216519478 : r2 = zin(1, j, nin2)
1015 216519478 : s2 = zin(2, j, nin2)
1016 216519478 : r3 = zin(1, j, nin3)
1017 216519478 : s3 = zin(2, j, nin3)
1018 216519478 : r4 = zin(1, j, nin4)
1019 216519478 : s4 = zin(2, j, nin4)
1020 216519478 : r5 = zin(1, j, nin5)
1021 216519478 : s5 = zin(2, j, nin5)
1022 216519478 : r6 = zin(1, j, nin6)
1023 216519478 : s6 = zin(2, j, nin6)
1024 216519478 : r7 = zin(1, j, nin7)
1025 216519478 : s7 = zin(2, j, nin7)
1026 216519478 : r8 = zin(1, j, nin8)
1027 216519478 : s8 = zin(2, j, nin8)
1028 216519478 : r = r1 + r5
1029 216519478 : s = r3 + r7
1030 216519478 : ap = r + s
1031 216519478 : am = r - s
1032 216519478 : r = r2 + r6
1033 216519478 : s = r4 + r8
1034 216519478 : bp = r + s
1035 216519478 : bm = r - s
1036 216519478 : r = s1 + s5
1037 216519478 : s = s3 + s7
1038 216519478 : cp = r + s
1039 216519478 : cm = r - s
1040 216519478 : r = s2 + s6
1041 216519478 : s = s4 + s8
1042 216519478 : dpp = r + s
1043 216519478 : dm = r - s
1044 216519478 : zout(1, j, nout1) = ap + bp
1045 216519478 : zout(2, j, nout1) = cp + dpp
1046 216519478 : zout(1, j, nout5) = ap - bp
1047 216519478 : zout(2, j, nout5) = cp - dpp
1048 216519478 : zout(1, j, nout3) = am - dm
1049 216519478 : zout(2, j, nout3) = cm + bm
1050 216519478 : zout(1, j, nout7) = am + dm
1051 216519478 : zout(2, j, nout7) = cm - bm
1052 216519478 : r = r1 - r5
1053 216519478 : s = -s3 + s7
1054 216519478 : ap = r + s
1055 216519478 : am = r - s
1056 216519478 : r = s1 - s5
1057 216519478 : s = r7 - r3
1058 216519478 : bp = r + s
1059 216519478 : bm = r - s
1060 216519478 : r = -s4 + s8
1061 216519478 : s = r2 - r6
1062 216519478 : cp = r + s
1063 216519478 : cm = r - s
1064 216519478 : r = -s2 + s6
1065 216519478 : s = r4 - r8
1066 216519478 : dpp = r + s
1067 216519478 : dm = r - s
1068 216519478 : r = (cp + dm)*rt2i
1069 216519478 : s = (cp - dm)*rt2i
1070 216519478 : cp = (cm + dpp)*rt2i
1071 216519478 : dpp = (dpp - cm)*rt2i
1072 216519478 : zout(1, j, nout2) = ap + r
1073 216519478 : zout(2, j, nout2) = bm + s
1074 216519478 : zout(1, j, nout6) = ap - r
1075 216519478 : zout(2, j, nout6) = bm - s
1076 216519478 : zout(1, j, nout4) = am + cp
1077 216519478 : zout(2, j, nout4) = bp + dpp
1078 216519478 : zout(1, j, nout8) = am - cp
1079 229570793 : zout(2, j, nout8) = bp - dpp
1080 : END DO
1081 : END DO
1082 :
1083 4067989 : DO 8001, ia = 2, after
1084 2648550 : ias = ia - 1
1085 2648550 : itt = ias*before
1086 2648550 : itrig = itt + 1
1087 2648550 : cr2 = trig(1, itrig)
1088 2648550 : ci2 = trig(2, itrig)
1089 2648550 : itrig = itrig + itt
1090 2648550 : cr3 = trig(1, itrig)
1091 2648550 : ci3 = trig(2, itrig)
1092 2648550 : itrig = itrig + itt
1093 2648550 : cr4 = trig(1, itrig)
1094 2648550 : ci4 = trig(2, itrig)
1095 2648550 : itrig = itrig + itt
1096 2648550 : cr5 = trig(1, itrig)
1097 2648550 : ci5 = trig(2, itrig)
1098 2648550 : itrig = itrig + itt
1099 2648550 : cr6 = trig(1, itrig)
1100 2648550 : ci6 = trig(2, itrig)
1101 2648550 : itrig = itrig + itt
1102 2648550 : cr7 = trig(1, itrig)
1103 2648550 : ci7 = trig(2, itrig)
1104 2648550 : itrig = itrig + itt
1105 2648550 : cr8 = trig(1, itrig)
1106 2648550 : ci8 = trig(2, itrig)
1107 2648550 : nin1 = ia - after
1108 2648550 : nout1 = ia - atn
1109 10624016 : DO ib = 1, before
1110 7975466 : nin1 = nin1 + after
1111 7975466 : nin2 = nin1 + atb
1112 7975466 : nin3 = nin2 + atb
1113 7975466 : nin4 = nin3 + atb
1114 7975466 : nin5 = nin4 + atb
1115 7975466 : nin6 = nin5 + atb
1116 7975466 : nin7 = nin6 + atb
1117 7975466 : nin8 = nin7 + atb
1118 7975466 : nout1 = nout1 + atn
1119 7975466 : nout2 = nout1 + after
1120 7975466 : nout3 = nout2 + after
1121 7975466 : nout4 = nout3 + after
1122 7975466 : nout5 = nout4 + after
1123 7975466 : nout6 = nout5 + after
1124 7975466 : nout7 = nout6 + after
1125 7975466 : nout8 = nout7 + after
1126 103448111 : DO j = 1, nfft
1127 92824095 : r1 = zin(1, j, nin1)
1128 92824095 : s1 = zin(2, j, nin1)
1129 92824095 : r = zin(1, j, nin2)
1130 92824095 : s = zin(2, j, nin2)
1131 92824095 : r2 = r*cr2 - s*ci2
1132 92824095 : s2 = r*ci2 + s*cr2
1133 92824095 : r = zin(1, j, nin3)
1134 92824095 : s = zin(2, j, nin3)
1135 92824095 : r3 = r*cr3 - s*ci3
1136 92824095 : s3 = r*ci3 + s*cr3
1137 92824095 : r = zin(1, j, nin4)
1138 92824095 : s = zin(2, j, nin4)
1139 92824095 : r4 = r*cr4 - s*ci4
1140 92824095 : s4 = r*ci4 + s*cr4
1141 92824095 : r = zin(1, j, nin5)
1142 92824095 : s = zin(2, j, nin5)
1143 92824095 : r5 = r*cr5 - s*ci5
1144 92824095 : s5 = r*ci5 + s*cr5
1145 92824095 : r = zin(1, j, nin6)
1146 92824095 : s = zin(2, j, nin6)
1147 92824095 : r6 = r*cr6 - s*ci6
1148 92824095 : s6 = r*ci6 + s*cr6
1149 92824095 : r = zin(1, j, nin7)
1150 92824095 : s = zin(2, j, nin7)
1151 92824095 : r7 = r*cr7 - s*ci7
1152 92824095 : s7 = r*ci7 + s*cr7
1153 92824095 : r = zin(1, j, nin8)
1154 92824095 : s = zin(2, j, nin8)
1155 92824095 : r8 = r*cr8 - s*ci8
1156 92824095 : s8 = r*ci8 + s*cr8
1157 92824095 : r = r1 + r5
1158 92824095 : s = r3 + r7
1159 92824095 : ap = r + s
1160 92824095 : am = r - s
1161 92824095 : r = r2 + r6
1162 92824095 : s = r4 + r8
1163 92824095 : bp = r + s
1164 92824095 : bm = r - s
1165 92824095 : r = s1 + s5
1166 92824095 : s = s3 + s7
1167 92824095 : cp = r + s
1168 92824095 : cm = r - s
1169 92824095 : r = s2 + s6
1170 92824095 : s = s4 + s8
1171 92824095 : dpp = r + s
1172 92824095 : dm = r - s
1173 92824095 : zout(1, j, nout1) = ap + bp
1174 92824095 : zout(2, j, nout1) = cp + dpp
1175 92824095 : zout(1, j, nout5) = ap - bp
1176 92824095 : zout(2, j, nout5) = cp - dpp
1177 92824095 : zout(1, j, nout3) = am - dm
1178 92824095 : zout(2, j, nout3) = cm + bm
1179 92824095 : zout(1, j, nout7) = am + dm
1180 92824095 : zout(2, j, nout7) = cm - bm
1181 92824095 : r = r1 - r5
1182 92824095 : s = -s3 + s7
1183 92824095 : ap = r + s
1184 92824095 : am = r - s
1185 92824095 : r = s1 - s5
1186 92824095 : s = r7 - r3
1187 92824095 : bp = r + s
1188 92824095 : bm = r - s
1189 92824095 : r = -s4 + s8
1190 92824095 : s = r2 - r6
1191 92824095 : cp = r + s
1192 92824095 : cm = r - s
1193 92824095 : r = -s2 + s6
1194 92824095 : s = r4 - r8
1195 92824095 : dpp = r + s
1196 92824095 : dm = r - s
1197 92824095 : r = (cp + dm)*rt2i
1198 92824095 : s = (cp - dm)*rt2i
1199 92824095 : cp = (cm + dpp)*rt2i
1200 92824095 : dpp = (dpp - cm)*rt2i
1201 92824095 : zout(1, j, nout2) = ap + r
1202 92824095 : zout(2, j, nout2) = bm + s
1203 92824095 : zout(1, j, nout6) = ap - r
1204 92824095 : zout(2, j, nout6) = bm - s
1205 92824095 : zout(1, j, nout4) = am + cp
1206 92824095 : zout(2, j, nout4) = bp + dpp
1207 92824095 : zout(1, j, nout8) = am - cp
1208 100799561 : zout(2, j, nout8) = bp - dpp
1209 : END DO
1210 : END DO
1211 1419439 : 8001 CONTINUE
1212 :
1213 : END IF
1214 : ELSE IF (now == 3) THEN
1215 : ! .5_dp*sqrt(3._dp)
1216 9133654 : bb = isign*0.8660254037844387_dp
1217 9133654 : ia = 1
1218 9133654 : nin1 = ia - after
1219 9133654 : nout1 = ia - atn
1220 33561720 : DO ib = 1, before
1221 24428066 : nin1 = nin1 + after
1222 24428066 : nin2 = nin1 + atb
1223 24428066 : nin3 = nin2 + atb
1224 24428066 : nout1 = nout1 + atn
1225 24428066 : nout2 = nout1 + after
1226 24428066 : nout3 = nout2 + after
1227 505464709 : DO j = 1, nfft
1228 471902989 : r1 = zin(1, j, nin1)
1229 471902989 : s1 = zin(2, j, nin1)
1230 471902989 : r2 = zin(1, j, nin2)
1231 471902989 : s2 = zin(2, j, nin2)
1232 471902989 : r3 = zin(1, j, nin3)
1233 471902989 : s3 = zin(2, j, nin3)
1234 471902989 : r = r2 + r3
1235 471902989 : s = s2 + s3
1236 471902989 : zout(1, j, nout1) = r + r1
1237 471902989 : zout(2, j, nout1) = s + s1
1238 471902989 : r1 = r1 - .5_dp*r
1239 471902989 : s1 = s1 - .5_dp*s
1240 471902989 : r2 = bb*(r2 - r3)
1241 471902989 : s2 = bb*(s2 - s3)
1242 471902989 : zout(1, j, nout2) = r1 - s2
1243 471902989 : zout(2, j, nout2) = s1 + r2
1244 471902989 : zout(1, j, nout3) = r1 + s2
1245 496331055 : zout(2, j, nout3) = s1 - r2
1246 : END DO
1247 : END DO
1248 165099072 : DO 3000, ia = 2, after
1249 155965418 : ias = ia - 1
1250 155965418 : IF (4*ias == 3*after) THEN
1251 5807114 : IF (isign == 1) THEN
1252 2980525 : nin1 = ia - after
1253 2980525 : nout1 = ia - atn
1254 12310226 : DO ib = 1, before
1255 9329701 : nin1 = nin1 + after
1256 9329701 : nin2 = nin1 + atb
1257 9329701 : nin3 = nin2 + atb
1258 9329701 : nout1 = nout1 + atn
1259 9329701 : nout2 = nout1 + after
1260 9329701 : nout3 = nout2 + after
1261 190356352 : DO j = 1, nfft
1262 178046126 : r1 = zin(1, j, nin1)
1263 178046126 : s1 = zin(2, j, nin1)
1264 178046126 : r2 = zin(2, j, nin2)
1265 178046126 : s2 = zin(1, j, nin2)
1266 178046126 : r3 = zin(1, j, nin3)
1267 178046126 : s3 = zin(2, j, nin3)
1268 178046126 : r = r3 + r2
1269 178046126 : s = s2 - s3
1270 178046126 : zout(1, j, nout1) = r1 - r
1271 178046126 : zout(2, j, nout1) = s + s1
1272 178046126 : r1 = r1 + .5_dp*r
1273 178046126 : s1 = s1 - .5_dp*s
1274 178046126 : r2 = bb*(r2 - r3)
1275 178046126 : s2 = bb*(s2 + s3)
1276 178046126 : zout(1, j, nout2) = r1 - s2
1277 178046126 : zout(2, j, nout2) = s1 - r2
1278 178046126 : zout(1, j, nout3) = r1 + s2
1279 187375827 : zout(2, j, nout3) = s1 + r2
1280 : END DO
1281 : END DO
1282 : ELSE
1283 2826589 : nin1 = ia - after
1284 2826589 : nout1 = ia - atn
1285 11664222 : DO ib = 1, before
1286 8837633 : nin1 = nin1 + after
1287 8837633 : nin2 = nin1 + atb
1288 8837633 : nin3 = nin2 + atb
1289 8837633 : nout1 = nout1 + atn
1290 8837633 : nout2 = nout1 + after
1291 8837633 : nout3 = nout2 + after
1292 181014015 : DO j = 1, nfft
1293 169349793 : r1 = zin(1, j, nin1)
1294 169349793 : s1 = zin(2, j, nin1)
1295 169349793 : r2 = zin(2, j, nin2)
1296 169349793 : s2 = zin(1, j, nin2)
1297 169349793 : r3 = zin(1, j, nin3)
1298 169349793 : s3 = zin(2, j, nin3)
1299 169349793 : r = r2 - r3
1300 169349793 : s = s2 + s3
1301 169349793 : zout(1, j, nout1) = r + r1
1302 169349793 : zout(2, j, nout1) = s1 - s
1303 169349793 : r1 = r1 - .5_dp*r
1304 169349793 : s1 = s1 + .5_dp*s
1305 169349793 : r2 = bb*(r2 + r3)
1306 169349793 : s2 = bb*(s2 - s3)
1307 169349793 : zout(1, j, nout2) = r1 + s2
1308 169349793 : zout(2, j, nout2) = s1 + r2
1309 169349793 : zout(1, j, nout3) = r1 - s2
1310 178187426 : zout(2, j, nout3) = s1 - r2
1311 : END DO
1312 : END DO
1313 : END IF
1314 150158304 : ELSE IF (8*ias == 3*after) THEN
1315 1846516 : IF (isign == 1) THEN
1316 947426 : nin1 = ia - after
1317 947426 : nout1 = ia - atn
1318 2287554 : DO ib = 1, before
1319 1340128 : nin1 = nin1 + after
1320 1340128 : nin2 = nin1 + atb
1321 1340128 : nin3 = nin2 + atb
1322 1340128 : nout1 = nout1 + atn
1323 1340128 : nout2 = nout1 + after
1324 1340128 : nout3 = nout2 + after
1325 28841262 : DO j = 1, nfft
1326 26553708 : r1 = zin(1, j, nin1)
1327 26553708 : s1 = zin(2, j, nin1)
1328 26553708 : r = zin(1, j, nin2)
1329 26553708 : s = zin(2, j, nin2)
1330 26553708 : r2 = (r - s)*rt2i
1331 26553708 : s2 = (r + s)*rt2i
1332 26553708 : r3 = zin(2, j, nin3)
1333 26553708 : s3 = zin(1, j, nin3)
1334 26553708 : r = r2 - r3
1335 26553708 : s = s2 + s3
1336 26553708 : zout(1, j, nout1) = r + r1
1337 26553708 : zout(2, j, nout1) = s + s1
1338 26553708 : r1 = r1 - .5_dp*r
1339 26553708 : s1 = s1 - .5_dp*s
1340 26553708 : r2 = bb*(r2 + r3)
1341 26553708 : s2 = bb*(s2 - s3)
1342 26553708 : zout(1, j, nout2) = r1 - s2
1343 26553708 : zout(2, j, nout2) = s1 + r2
1344 26553708 : zout(1, j, nout3) = r1 + s2
1345 27893836 : zout(2, j, nout3) = s1 - r2
1346 : END DO
1347 : END DO
1348 : ELSE
1349 899090 : nin1 = ia - after
1350 899090 : nout1 = ia - atn
1351 2168670 : DO ib = 1, before
1352 1269580 : nin1 = nin1 + after
1353 1269580 : nin2 = nin1 + atb
1354 1269580 : nin3 = nin2 + atb
1355 1269580 : nout1 = nout1 + atn
1356 1269580 : nout2 = nout1 + after
1357 1269580 : nout3 = nout2 + after
1358 27234693 : DO j = 1, nfft
1359 25066023 : r1 = zin(1, j, nin1)
1360 25066023 : s1 = zin(2, j, nin1)
1361 25066023 : r = zin(1, j, nin2)
1362 25066023 : s = zin(2, j, nin2)
1363 25066023 : r2 = (r + s)*rt2i
1364 25066023 : s2 = (s - r)*rt2i
1365 25066023 : r3 = zin(2, j, nin3)
1366 25066023 : s3 = zin(1, j, nin3)
1367 25066023 : r = r2 + r3
1368 25066023 : s = s2 - s3
1369 25066023 : zout(1, j, nout1) = r + r1
1370 25066023 : zout(2, j, nout1) = s + s1
1371 25066023 : r1 = r1 - .5_dp*r
1372 25066023 : s1 = s1 - .5_dp*s
1373 25066023 : r2 = bb*(r2 - r3)
1374 25066023 : s2 = bb*(s2 + s3)
1375 25066023 : zout(1, j, nout2) = r1 - s2
1376 25066023 : zout(2, j, nout2) = s1 + r2
1377 25066023 : zout(1, j, nout3) = r1 + s2
1378 26335603 : zout(2, j, nout3) = s1 - r2
1379 : END DO
1380 : END DO
1381 : END IF
1382 : ELSE
1383 148311788 : itt = ias*before
1384 148311788 : itrig = itt + 1
1385 148311788 : cr2 = trig(1, itrig)
1386 148311788 : ci2 = trig(2, itrig)
1387 148311788 : itrig = itrig + itt
1388 148311788 : cr3 = trig(1, itrig)
1389 148311788 : ci3 = trig(2, itrig)
1390 148311788 : nin1 = ia - after
1391 148311788 : nout1 = ia - atn
1392 359289652 : DO ib = 1, before
1393 210977864 : nin1 = nin1 + after
1394 210977864 : nin2 = nin1 + atb
1395 210977864 : nin3 = nin2 + atb
1396 210977864 : nout1 = nout1 + atn
1397 210977864 : nout2 = nout1 + after
1398 210977864 : nout3 = nout2 + after
1399 4191685933 : DO j = 1, nfft
1400 3832396281 : r1 = zin(1, j, nin1)
1401 3832396281 : s1 = zin(2, j, nin1)
1402 3832396281 : r = zin(1, j, nin2)
1403 3832396281 : s = zin(2, j, nin2)
1404 3832396281 : r2 = r*cr2 - s*ci2
1405 3832396281 : s2 = r*ci2 + s*cr2
1406 3832396281 : r = zin(1, j, nin3)
1407 3832396281 : s = zin(2, j, nin3)
1408 3832396281 : r3 = r*cr3 - s*ci3
1409 3832396281 : s3 = r*ci3 + s*cr3
1410 3832396281 : r = r2 + r3
1411 3832396281 : s = s2 + s3
1412 3832396281 : zout(1, j, nout1) = r + r1
1413 3832396281 : zout(2, j, nout1) = s + s1
1414 3832396281 : r1 = r1 - .5_dp*r
1415 3832396281 : s1 = s1 - .5_dp*s
1416 3832396281 : r2 = bb*(r2 - r3)
1417 3832396281 : s2 = bb*(s2 - s3)
1418 3832396281 : zout(1, j, nout2) = r1 - s2
1419 3832396281 : zout(2, j, nout2) = s1 + r2
1420 3832396281 : zout(1, j, nout3) = r1 + s2
1421 4043374145 : zout(2, j, nout3) = s1 - r2
1422 : END DO
1423 : END DO
1424 : END IF
1425 9133654 : 3000 CONTINUE
1426 : ELSE IF (now == 5) THEN
1427 : ! cos(2._dp*pi/5._dp)
1428 5782774 : cos2 = 0.3090169943749474_dp
1429 : ! cos(4._dp*pi/5._dp)
1430 5782774 : cos4 = -0.8090169943749474_dp
1431 : ! sin(2._dp*pi/5._dp)
1432 5782774 : sin2 = isign*0.9510565162951536_dp
1433 : ! sin(4._dp*pi/5._dp)
1434 5782774 : sin4 = isign*0.5877852522924731_dp
1435 5782774 : ia = 1
1436 5782774 : nin1 = ia - after
1437 5782774 : nout1 = ia - atn
1438 47837916 : DO ib = 1, before
1439 42055142 : nin1 = nin1 + after
1440 42055142 : nin2 = nin1 + atb
1441 42055142 : nin3 = nin2 + atb
1442 42055142 : nin4 = nin3 + atb
1443 42055142 : nin5 = nin4 + atb
1444 42055142 : nout1 = nout1 + atn
1445 42055142 : nout2 = nout1 + after
1446 42055142 : nout3 = nout2 + after
1447 42055142 : nout4 = nout3 + after
1448 42055142 : nout5 = nout4 + after
1449 861127419 : DO j = 1, nfft
1450 813289503 : r1 = zin(1, j, nin1)
1451 813289503 : s1 = zin(2, j, nin1)
1452 813289503 : r2 = zin(1, j, nin2)
1453 813289503 : s2 = zin(2, j, nin2)
1454 813289503 : r3 = zin(1, j, nin3)
1455 813289503 : s3 = zin(2, j, nin3)
1456 813289503 : r4 = zin(1, j, nin4)
1457 813289503 : s4 = zin(2, j, nin4)
1458 813289503 : r5 = zin(1, j, nin5)
1459 813289503 : s5 = zin(2, j, nin5)
1460 813289503 : r25 = r2 + r5
1461 813289503 : r34 = r3 + r4
1462 813289503 : s25 = s2 - s5
1463 813289503 : s34 = s3 - s4
1464 813289503 : zout(1, j, nout1) = r1 + r25 + r34
1465 813289503 : r = r1 + cos2*r25 + cos4*r34
1466 813289503 : s = sin2*s25 + sin4*s34
1467 813289503 : zout(1, j, nout2) = r - s
1468 813289503 : zout(1, j, nout5) = r + s
1469 813289503 : r = r1 + cos4*r25 + cos2*r34
1470 813289503 : s = sin4*s25 - sin2*s34
1471 813289503 : zout(1, j, nout3) = r - s
1472 813289503 : zout(1, j, nout4) = r + s
1473 813289503 : r25 = r2 - r5
1474 813289503 : r34 = r3 - r4
1475 813289503 : s25 = s2 + s5
1476 813289503 : s34 = s3 + s4
1477 813289503 : zout(2, j, nout1) = s1 + s25 + s34
1478 813289503 : r = s1 + cos2*s25 + cos4*s34
1479 813289503 : s = sin2*r25 + sin4*r34
1480 813289503 : zout(2, j, nout2) = r + s
1481 813289503 : zout(2, j, nout5) = r - s
1482 813289503 : r = s1 + cos4*s25 + cos2*s34
1483 813289503 : s = sin4*r25 - sin2*r34
1484 813289503 : zout(2, j, nout3) = r + s
1485 855344645 : zout(2, j, nout4) = r - s
1486 : END DO
1487 : END DO
1488 49717718 : DO 5000, ia = 2, after
1489 43934944 : ias = ia - 1
1490 43934944 : IF (8*ias == 5*after) THEN
1491 665360 : IF (isign == 1) THEN
1492 346706 : nin1 = ia - after
1493 346706 : nout1 = ia - atn
1494 1022812 : DO ib = 1, before
1495 676106 : nin1 = nin1 + after
1496 676106 : nin2 = nin1 + atb
1497 676106 : nin3 = nin2 + atb
1498 676106 : nin4 = nin3 + atb
1499 676106 : nin5 = nin4 + atb
1500 676106 : nout1 = nout1 + atn
1501 676106 : nout2 = nout1 + after
1502 676106 : nout3 = nout2 + after
1503 676106 : nout4 = nout3 + after
1504 676106 : nout5 = nout4 + after
1505 15716565 : DO j = 1, nfft
1506 14693753 : r1 = zin(1, j, nin1)
1507 14693753 : s1 = zin(2, j, nin1)
1508 14693753 : r = zin(1, j, nin2)
1509 14693753 : s = zin(2, j, nin2)
1510 14693753 : r2 = (r - s)*rt2i
1511 14693753 : s2 = (r + s)*rt2i
1512 14693753 : r3 = zin(2, j, nin3)
1513 14693753 : s3 = zin(1, j, nin3)
1514 14693753 : r = zin(1, j, nin4)
1515 14693753 : s = zin(2, j, nin4)
1516 14693753 : r4 = (r + s)*rt2i
1517 14693753 : s4 = (r - s)*rt2i
1518 14693753 : r5 = zin(1, j, nin5)
1519 14693753 : s5 = zin(2, j, nin5)
1520 14693753 : r25 = r2 - r5
1521 14693753 : r34 = r3 + r4
1522 14693753 : s25 = s2 + s5
1523 14693753 : s34 = s3 - s4
1524 14693753 : zout(1, j, nout1) = r1 + r25 - r34
1525 14693753 : r = r1 + cos2*r25 - cos4*r34
1526 14693753 : s = sin2*s25 + sin4*s34
1527 14693753 : zout(1, j, nout2) = r - s
1528 14693753 : zout(1, j, nout5) = r + s
1529 14693753 : r = r1 + cos4*r25 - cos2*r34
1530 14693753 : s = sin4*s25 - sin2*s34
1531 14693753 : zout(1, j, nout3) = r - s
1532 14693753 : zout(1, j, nout4) = r + s
1533 14693753 : r25 = r2 + r5
1534 14693753 : r34 = r4 - r3
1535 14693753 : s25 = s2 - s5
1536 14693753 : s34 = s3 + s4
1537 14693753 : zout(2, j, nout1) = s1 + s25 + s34
1538 14693753 : r = s1 + cos2*s25 + cos4*s34
1539 14693753 : s = sin2*r25 + sin4*r34
1540 14693753 : zout(2, j, nout2) = r + s
1541 14693753 : zout(2, j, nout5) = r - s
1542 14693753 : r = s1 + cos4*s25 + cos2*s34
1543 14693753 : s = sin4*r25 - sin2*r34
1544 14693753 : zout(2, j, nout3) = r + s
1545 15369859 : zout(2, j, nout4) = r - s
1546 : END DO
1547 : END DO
1548 : ELSE
1549 318654 : nin1 = ia - after
1550 318654 : nout1 = ia - atn
1551 950604 : DO ib = 1, before
1552 631950 : nin1 = nin1 + after
1553 631950 : nin2 = nin1 + atb
1554 631950 : nin3 = nin2 + atb
1555 631950 : nin4 = nin3 + atb
1556 631950 : nin5 = nin4 + atb
1557 631950 : nout1 = nout1 + atn
1558 631950 : nout2 = nout1 + after
1559 631950 : nout3 = nout2 + after
1560 631950 : nout4 = nout3 + after
1561 631950 : nout5 = nout4 + after
1562 14480004 : DO j = 1, nfft
1563 13529400 : r1 = zin(1, j, nin1)
1564 13529400 : s1 = zin(2, j, nin1)
1565 13529400 : r = zin(1, j, nin2)
1566 13529400 : s = zin(2, j, nin2)
1567 13529400 : r2 = (r + s)*rt2i
1568 13529400 : s2 = (s - r)*rt2i
1569 13529400 : r3 = zin(2, j, nin3)
1570 13529400 : s3 = zin(1, j, nin3)
1571 13529400 : r = zin(1, j, nin4)
1572 13529400 : s = zin(2, j, nin4)
1573 13529400 : r4 = (s - r)*rt2i
1574 13529400 : s4 = (r + s)*rt2i
1575 13529400 : r5 = zin(1, j, nin5)
1576 13529400 : s5 = zin(2, j, nin5)
1577 13529400 : r25 = r2 - r5
1578 13529400 : r34 = r3 + r4
1579 13529400 : s25 = s2 + s5
1580 13529400 : s34 = s4 - s3
1581 13529400 : zout(1, j, nout1) = r1 + r25 + r34
1582 13529400 : r = r1 + cos2*r25 + cos4*r34
1583 13529400 : s = sin2*s25 + sin4*s34
1584 13529400 : zout(1, j, nout2) = r - s
1585 13529400 : zout(1, j, nout5) = r + s
1586 13529400 : r = r1 + cos4*r25 + cos2*r34
1587 13529400 : s = sin4*s25 - sin2*s34
1588 13529400 : zout(1, j, nout3) = r - s
1589 13529400 : zout(1, j, nout4) = r + s
1590 13529400 : r25 = r2 + r5
1591 13529400 : r34 = r3 - r4
1592 13529400 : s25 = s2 - s5
1593 13529400 : s34 = s3 + s4
1594 13529400 : zout(2, j, nout1) = s1 + s25 - s34
1595 13529400 : r = s1 + cos2*s25 - cos4*s34
1596 13529400 : s = sin2*r25 + sin4*r34
1597 13529400 : zout(2, j, nout2) = r + s
1598 13529400 : zout(2, j, nout5) = r - s
1599 13529400 : r = s1 + cos4*s25 - cos2*s34
1600 13529400 : s = sin4*r25 - sin2*r34
1601 13529400 : zout(2, j, nout3) = r + s
1602 14161350 : zout(2, j, nout4) = r - s
1603 : END DO
1604 : END DO
1605 : END IF
1606 : ELSE
1607 43269584 : ias = ia - 1
1608 43269584 : itt = ias*before
1609 43269584 : itrig = itt + 1
1610 43269584 : cr2 = trig(1, itrig)
1611 43269584 : ci2 = trig(2, itrig)
1612 43269584 : itrig = itrig + itt
1613 43269584 : cr3 = trig(1, itrig)
1614 43269584 : ci3 = trig(2, itrig)
1615 43269584 : itrig = itrig + itt
1616 43269584 : cr4 = trig(1, itrig)
1617 43269584 : ci4 = trig(2, itrig)
1618 43269584 : itrig = itrig + itt
1619 43269584 : cr5 = trig(1, itrig)
1620 43269584 : ci5 = trig(2, itrig)
1621 43269584 : nin1 = ia - after
1622 43269584 : nout1 = ia - atn
1623 117176984 : DO ib = 1, before
1624 73907400 : nin1 = nin1 + after
1625 73907400 : nin2 = nin1 + atb
1626 73907400 : nin3 = nin2 + atb
1627 73907400 : nin4 = nin3 + atb
1628 73907400 : nin5 = nin4 + atb
1629 73907400 : nout1 = nout1 + atn
1630 73907400 : nout2 = nout1 + after
1631 73907400 : nout3 = nout2 + after
1632 73907400 : nout4 = nout3 + after
1633 73907400 : nout5 = nout4 + after
1634 1166834402 : DO j = 1, nfft
1635 1049657418 : r1 = zin(1, j, nin1)
1636 1049657418 : s1 = zin(2, j, nin1)
1637 1049657418 : r = zin(1, j, nin2)
1638 1049657418 : s = zin(2, j, nin2)
1639 1049657418 : r2 = r*cr2 - s*ci2
1640 1049657418 : s2 = r*ci2 + s*cr2
1641 1049657418 : r = zin(1, j, nin3)
1642 1049657418 : s = zin(2, j, nin3)
1643 1049657418 : r3 = r*cr3 - s*ci3
1644 1049657418 : s3 = r*ci3 + s*cr3
1645 1049657418 : r = zin(1, j, nin4)
1646 1049657418 : s = zin(2, j, nin4)
1647 1049657418 : r4 = r*cr4 - s*ci4
1648 1049657418 : s4 = r*ci4 + s*cr4
1649 1049657418 : r = zin(1, j, nin5)
1650 1049657418 : s = zin(2, j, nin5)
1651 1049657418 : r5 = r*cr5 - s*ci5
1652 1049657418 : s5 = r*ci5 + s*cr5
1653 1049657418 : r25 = r2 + r5
1654 1049657418 : r34 = r3 + r4
1655 1049657418 : s25 = s2 - s5
1656 1049657418 : s34 = s3 - s4
1657 1049657418 : zout(1, j, nout1) = r1 + r25 + r34
1658 1049657418 : r = r1 + cos2*r25 + cos4*r34
1659 1049657418 : s = sin2*s25 + sin4*s34
1660 1049657418 : zout(1, j, nout2) = r - s
1661 1049657418 : zout(1, j, nout5) = r + s
1662 1049657418 : r = r1 + cos4*r25 + cos2*r34
1663 1049657418 : s = sin4*s25 - sin2*s34
1664 1049657418 : zout(1, j, nout3) = r - s
1665 1049657418 : zout(1, j, nout4) = r + s
1666 1049657418 : r25 = r2 - r5
1667 1049657418 : r34 = r3 - r4
1668 1049657418 : s25 = s2 + s5
1669 1049657418 : s34 = s3 + s4
1670 1049657418 : zout(2, j, nout1) = s1 + s25 + s34
1671 1049657418 : r = s1 + cos2*s25 + cos4*s34
1672 1049657418 : s = sin2*r25 + sin4*r34
1673 1049657418 : zout(2, j, nout2) = r + s
1674 1049657418 : zout(2, j, nout5) = r - s
1675 1049657418 : r = s1 + cos4*s25 + cos2*s34
1676 1049657418 : s = sin4*r25 - sin2*r34
1677 1049657418 : zout(2, j, nout3) = r + s
1678 1123564818 : zout(2, j, nout4) = r - s
1679 : END DO
1680 : END DO
1681 : END IF
1682 5782774 : 5000 CONTINUE
1683 : ELSE IF (now == 6) THEN
1684 : ! .5_dp*sqrt(3._dp)
1685 3873181 : bb = isign*0.8660254037844387_dp
1686 :
1687 3873181 : ia = 1
1688 3873181 : nin1 = ia - after
1689 3873181 : nout1 = ia - atn
1690 65003533 : DO ib = 1, before
1691 61130352 : nin1 = nin1 + after
1692 61130352 : nin2 = nin1 + atb
1693 61130352 : nin3 = nin2 + atb
1694 61130352 : nin4 = nin3 + atb
1695 61130352 : nin5 = nin4 + atb
1696 61130352 : nin6 = nin5 + atb
1697 61130352 : nout1 = nout1 + atn
1698 61130352 : nout2 = nout1 + after
1699 61130352 : nout3 = nout2 + after
1700 61130352 : nout4 = nout3 + after
1701 61130352 : nout5 = nout4 + after
1702 61130352 : nout6 = nout5 + after
1703 973003383 : DO j = 1, nfft
1704 907999850 : r2 = zin(1, j, nin3)
1705 907999850 : s2 = zin(2, j, nin3)
1706 907999850 : r3 = zin(1, j, nin5)
1707 907999850 : s3 = zin(2, j, nin5)
1708 907999850 : r = r2 + r3
1709 907999850 : s = s2 + s3
1710 907999850 : r1 = zin(1, j, nin1)
1711 907999850 : s1 = zin(2, j, nin1)
1712 907999850 : ur1 = r + r1
1713 907999850 : ui1 = s + s1
1714 907999850 : r1 = r1 - .5_dp*r
1715 907999850 : s1 = s1 - .5_dp*s
1716 907999850 : r = r2 - r3
1717 907999850 : s = s2 - s3
1718 907999850 : ur2 = r1 - s*bb
1719 907999850 : ui2 = s1 + r*bb
1720 907999850 : ur3 = r1 + s*bb
1721 907999850 : ui3 = s1 - r*bb
1722 :
1723 907999850 : r2 = zin(1, j, nin6)
1724 907999850 : s2 = zin(2, j, nin6)
1725 907999850 : r3 = zin(1, j, nin2)
1726 907999850 : s3 = zin(2, j, nin2)
1727 907999850 : r = r2 + r3
1728 907999850 : s = s2 + s3
1729 907999850 : r1 = zin(1, j, nin4)
1730 907999850 : s1 = zin(2, j, nin4)
1731 907999850 : vr1 = r + r1
1732 907999850 : vi1 = s + s1
1733 907999850 : r1 = r1 - .5_dp*r
1734 907999850 : s1 = s1 - .5_dp*s
1735 907999850 : r = r2 - r3
1736 907999850 : s = s2 - s3
1737 907999850 : vr2 = r1 - s*bb
1738 907999850 : vi2 = s1 + r*bb
1739 907999850 : vr3 = r1 + s*bb
1740 907999850 : vi3 = s1 - r*bb
1741 :
1742 907999850 : zout(1, j, nout1) = ur1 + vr1
1743 907999850 : zout(2, j, nout1) = ui1 + vi1
1744 907999850 : zout(1, j, nout5) = ur2 + vr2
1745 907999850 : zout(2, j, nout5) = ui2 + vi2
1746 907999850 : zout(1, j, nout3) = ur3 + vr3
1747 907999850 : zout(2, j, nout3) = ui3 + vi3
1748 907999850 : zout(1, j, nout4) = ur1 - vr1
1749 907999850 : zout(2, j, nout4) = ui1 - vi1
1750 907999850 : zout(1, j, nout2) = ur2 - vr2
1751 907999850 : zout(2, j, nout2) = ui2 - vi2
1752 907999850 : zout(1, j, nout6) = ur3 - vr3
1753 969130202 : zout(2, j, nout6) = ui3 - vi3
1754 : END DO
1755 : END DO
1756 : ELSE
1757 0 : CPABORT("error fftstp")
1758 : END IF
1759 :
1760 27944628 : END SUBROUTINE fftstp
1761 :
1762 : END MODULE ps_wavelet_fft3d
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