Line data Source code
1 : !--------------------------------------------------------------------------------------------------!
2 : ! CP2K: A general program to perform molecular dynamics simulations !
3 : ! Copyright 2000-2025 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 110623 : SUBROUTINE fourier_dim(n, n_next)
34 : INTEGER, INTENT(in) :: n
35 : INTEGER, INTENT(out) :: n_next
36 :
37 : INTEGER, PARAMETER :: ndata = 149, ndata1024 = 149
38 : INTEGER, DIMENSION(ndata), PARAMETER :: idata = (/3, 4, 5, 6, 8, 9, 12, 15, 16, 18, 20, 24, &
39 : 25, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 75, 80, 81, 90, 96, 100, 108, 120, 125, &
40 : 128, 135, 144, 150, 160, 162, 180, 192, 200, 216, 225, 240, 243, 256, 270, 288, 300, 320, &
41 : 324, 360, 375, 384, 400, 405, 432, 450, 480, 486, 500, 512, 540, 576, 600, 625, 640, 648, &
42 : 675, 720, 729, 750, 768, 800, 810, 864, 900, 960, 972, 1000, 1024, 1080, 1125, 1152, 1200,&
43 : 1215, 1280, 1296, 1350, 1440, 1458, 1500, 1536, 1600, 1620, 1728, 1800, 1875, 1920, 1944, &
44 : 2000, 2025, 2048, 2160, 2250, 2304, 2400, 2430, 2500, 2560, 2592, 2700, 2880, 3000, 3072, &
45 : 3125, 3200, 3240, 3375, 3456, 3600, 3750, 3840, 3888, 4000, 4050, 4096, 4320, 4500, 4608, &
46 : 4800, 5000, 5120, 5184, 5400, 5625, 5760, 6000, 6144, 6400, 6480, 6750, 6912, 7200, 7500, &
47 : 7680, 8000, ctrig_length/)
48 :
49 : INTEGER :: i
50 :
51 : !Multiple of 2,3,5
52 :
53 1795276 : loop_data: DO i = 1, ndata1024
54 1795276 : IF (n <= idata(i)) THEN
55 110623 : n_next = idata(i)
56 110623 : 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 97577 : 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 1597488 : DO i = 1, 150
202 1597488 : 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 1597488 : IF (n .EQ. idata(1, i)) THEN
209 97577 : ic = 0
210 333355 : DO j = 1, 6
211 333355 : itt = idata(1 + j, i)
212 333355 : IF (itt .GT. 1) THEN
213 235778 : ic = ic + 1
214 235778 : 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 97577 : after(1) = 1
224 97577 : before(ic) = 1
225 235778 : DO i = 2, ic
226 138201 : after(i) = after(i - 1)*now(i - 1)
227 235778 : before(ic - i + 1) = before(ic - i + 2)*now(ic - i + 2)
228 : END DO
229 :
230 97577 : twopi = 6.283185307179586_dp
231 97577 : angle = isign*twopi/n
232 97577 : IF (MOD(n, 2) .EQ. 0) THEN
233 86162 : nh = n/2
234 86162 : trig(1, 1) = 1._dp
235 86162 : trig(2, 1) = 0._dp
236 86162 : trig(1, nh + 1) = -1._dp
237 86162 : trig(2, nh + 1) = 0._dp
238 1905914 : DO 40, i = 1, nh - 1
239 1819752 : trigc = COS(i*angle)
240 1819752 : trigs = SIN(i*angle)
241 1819752 : trig(1, i + 1) = trigc
242 1819752 : trig(2, i + 1) = trigs
243 1819752 : trig(1, n - i + 1) = trigc
244 1819752 : trig(2, n - i + 1) = -trigs
245 86162 : 40 CONTINUE
246 : ELSE
247 11415 : nh = (n - 1)/2
248 11415 : trig(1, 1) = 1._dp
249 11415 : trig(2, 1) = 0._dp
250 113268 : DO 20, i = 1, nh
251 101853 : trigc = COS(i*angle)
252 101853 : trigs = SIN(i*angle)
253 101853 : trig(1, i + 1) = trigc
254 101853 : trig(2, i + 1) = trigs
255 101853 : trig(1, n - i + 1) = trigc
256 101853 : trig(2, n - i + 1) = -trigs
257 11415 : 20 CONTINUE
258 : END IF
259 :
260 97577 : 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 22972336 : 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 22972336 : atn = after*now
300 22972336 : atb = after*before
301 :
302 : ! sqrt(.5_dp)
303 22972336 : rt2i = 0.7071067811865475_dp
304 : IF (now .EQ. 2) THEN
305 0 : ia = 1
306 0 : nin1 = ia - after
307 0 : nout1 = ia - atn
308 0 : DO ib = 1, before
309 0 : nin1 = nin1 + after
310 0 : nin2 = nin1 + atb
311 0 : nout1 = nout1 + atn
312 0 : nout2 = nout1 + after
313 0 : DO j = 1, nfft
314 0 : r1 = zin(1, j, nin1)
315 0 : s1 = zin(2, j, nin1)
316 0 : r2 = zin(1, j, nin2)
317 0 : s2 = zin(2, j, nin2)
318 0 : zout(1, j, nout1) = r2 + r1
319 0 : zout(2, j, nout1) = s2 + s1
320 0 : zout(1, j, nout2) = r1 - r2
321 0 : zout(2, j, nout2) = s1 - s2
322 : END DO; END DO
323 0 : DO 2000, ia = 2, after
324 0 : ias = ia - 1
325 0 : IF (2*ias .EQ. after) THEN
326 0 : IF (isign .EQ. 1) THEN
327 0 : nin1 = ia - after
328 0 : nout1 = ia - atn
329 0 : DO ib = 1, before
330 0 : nin1 = nin1 + after
331 0 : nin2 = nin1 + atb
332 0 : nout1 = nout1 + atn
333 0 : nout2 = nout1 + after
334 0 : DO j = 1, nfft
335 0 : r1 = zin(1, j, nin1)
336 0 : s1 = zin(2, j, nin1)
337 0 : r2 = zin(2, j, nin2)
338 0 : s2 = zin(1, j, nin2)
339 0 : zout(1, j, nout1) = r1 - r2
340 0 : zout(2, j, nout1) = s2 + s1
341 0 : zout(1, j, nout2) = r2 + r1
342 0 : zout(2, j, nout2) = s1 - s2
343 : END DO; END DO
344 : ELSE
345 0 : nin1 = ia - after
346 0 : nout1 = ia - atn
347 0 : DO ib = 1, before
348 0 : nin1 = nin1 + after
349 0 : nin2 = nin1 + atb
350 0 : nout1 = nout1 + atn
351 0 : nout2 = nout1 + after
352 0 : DO j = 1, nfft
353 0 : r1 = zin(1, j, nin1)
354 0 : s1 = zin(2, j, nin1)
355 0 : r2 = zin(2, j, nin2)
356 0 : s2 = zin(1, j, nin2)
357 0 : zout(1, j, nout1) = r2 + r1
358 0 : zout(2, j, nout1) = s1 - s2
359 0 : zout(1, j, nout2) = r1 - r2
360 0 : zout(2, j, nout2) = s2 + s1
361 : END DO; END DO
362 : END IF
363 0 : ELSE IF (4*ias .EQ. after) THEN
364 0 : IF (isign .EQ. 1) THEN
365 0 : nin1 = ia - after
366 0 : nout1 = ia - atn
367 0 : DO ib = 1, before
368 0 : nin1 = nin1 + after
369 0 : nin2 = nin1 + atb
370 0 : nout1 = nout1 + atn
371 0 : nout2 = nout1 + after
372 0 : DO j = 1, nfft
373 0 : r1 = zin(1, j, nin1)
374 0 : s1 = zin(2, j, nin1)
375 0 : r = zin(1, j, nin2)
376 0 : s = zin(2, j, nin2)
377 0 : r2 = (r - s)*rt2i
378 0 : s2 = (r + s)*rt2i
379 0 : zout(1, j, nout1) = r2 + r1
380 0 : zout(2, j, nout1) = s2 + s1
381 0 : zout(1, j, nout2) = r1 - r2
382 0 : zout(2, j, nout2) = s1 - s2
383 : END DO; END DO
384 : ELSE
385 0 : nin1 = ia - after
386 0 : nout1 = ia - atn
387 0 : DO ib = 1, before
388 0 : nin1 = nin1 + after
389 0 : nin2 = nin1 + atb
390 0 : nout1 = nout1 + atn
391 0 : nout2 = nout1 + after
392 0 : DO j = 1, nfft
393 0 : r1 = zin(1, j, nin1)
394 0 : s1 = zin(2, j, nin1)
395 0 : r = zin(1, j, nin2)
396 0 : s = zin(2, j, nin2)
397 0 : r2 = (r + s)*rt2i
398 0 : s2 = (s - r)*rt2i
399 0 : zout(1, j, nout1) = r2 + r1
400 0 : zout(2, j, nout1) = s2 + s1
401 0 : zout(1, j, nout2) = r1 - r2
402 0 : zout(2, j, nout2) = s1 - s2
403 : END DO; END DO
404 : END IF
405 0 : ELSE IF (4*ias .EQ. 3*after) THEN
406 0 : IF (isign .EQ. 1) THEN
407 0 : nin1 = ia - after
408 0 : nout1 = ia - atn
409 0 : DO ib = 1, before
410 0 : nin1 = nin1 + after
411 0 : nin2 = nin1 + atb
412 0 : nout1 = nout1 + atn
413 0 : nout2 = nout1 + after
414 0 : DO j = 1, nfft
415 0 : r1 = zin(1, j, nin1)
416 0 : s1 = zin(2, j, nin1)
417 0 : r = zin(1, j, nin2)
418 0 : s = zin(2, j, nin2)
419 0 : r2 = (r + s)*rt2i
420 0 : s2 = (r - s)*rt2i
421 0 : zout(1, j, nout1) = r1 - r2
422 0 : zout(2, j, nout1) = s2 + s1
423 0 : zout(1, j, nout2) = r2 + r1
424 0 : zout(2, j, nout2) = s1 - s2
425 : END DO; END DO
426 : ELSE
427 0 : nin1 = ia - after
428 0 : nout1 = ia - atn
429 0 : DO ib = 1, before
430 0 : nin1 = nin1 + after
431 0 : nin2 = nin1 + atb
432 0 : nout1 = nout1 + atn
433 0 : nout2 = nout1 + after
434 0 : DO j = 1, nfft
435 0 : r1 = zin(1, j, nin1)
436 0 : s1 = zin(2, j, nin1)
437 0 : r = zin(1, j, nin2)
438 0 : s = zin(2, j, nin2)
439 0 : r2 = (s - r)*rt2i
440 0 : s2 = (r + s)*rt2i
441 0 : zout(1, j, nout1) = r2 + r1
442 0 : zout(2, j, nout1) = s1 - s2
443 0 : zout(1, j, nout2) = r1 - r2
444 0 : zout(2, j, nout2) = s2 + s1
445 : END DO; END DO
446 : END IF
447 : ELSE
448 0 : itrig = ias*before + 1
449 0 : cr2 = trig(1, itrig)
450 0 : ci2 = trig(2, itrig)
451 0 : nin1 = ia - after
452 0 : nout1 = ia - atn
453 0 : DO ib = 1, before
454 0 : nin1 = nin1 + after
455 0 : nin2 = nin1 + atb
456 0 : nout1 = nout1 + atn
457 0 : nout2 = nout1 + after
458 0 : DO j = 1, nfft
459 0 : r1 = zin(1, j, nin1)
460 0 : s1 = zin(2, j, nin1)
461 0 : r = zin(1, j, nin2)
462 0 : s = zin(2, j, nin2)
463 0 : r2 = r*cr2 - s*ci2
464 0 : s2 = r*ci2 + s*cr2
465 0 : zout(1, j, nout1) = r2 + r1
466 0 : zout(2, j, nout1) = s2 + s1
467 0 : zout(1, j, nout2) = r1 - r2
468 0 : zout(2, j, nout2) = s1 - s2
469 : END DO; END DO
470 : END IF
471 0 : 2000 CONTINUE
472 : ELSE IF (now .EQ. 4) THEN
473 5488169 : IF (isign .EQ. 1) THEN
474 2811412 : ia = 1
475 2811412 : nin1 = ia - after
476 2811412 : nout1 = ia - atn
477 23806196 : DO ib = 1, before
478 20994784 : nin1 = nin1 + after
479 20994784 : nin2 = nin1 + atb
480 20994784 : nin3 = nin2 + atb
481 20994784 : nin4 = nin3 + atb
482 20994784 : nout1 = nout1 + atn
483 20994784 : nout2 = nout1 + after
484 20994784 : nout3 = nout2 + after
485 20994784 : nout4 = nout3 + after
486 432200417 : DO j = 1, nfft
487 408394221 : r1 = zin(1, j, nin1)
488 408394221 : s1 = zin(2, j, nin1)
489 408394221 : r2 = zin(1, j, nin2)
490 408394221 : s2 = zin(2, j, nin2)
491 408394221 : r3 = zin(1, j, nin3)
492 408394221 : s3 = zin(2, j, nin3)
493 408394221 : r4 = zin(1, j, nin4)
494 408394221 : s4 = zin(2, j, nin4)
495 408394221 : r = r1 + r3
496 408394221 : s = r2 + r4
497 408394221 : zout(1, j, nout1) = r + s
498 408394221 : zout(1, j, nout3) = r - s
499 408394221 : r = r1 - r3
500 408394221 : s = s2 - s4
501 408394221 : zout(1, j, nout2) = r - s
502 408394221 : zout(1, j, nout4) = r + s
503 408394221 : r = s1 + s3
504 408394221 : s = s2 + s4
505 408394221 : zout(2, j, nout1) = r + s
506 408394221 : zout(2, j, nout3) = r - s
507 408394221 : r = s1 - s3
508 408394221 : s = r2 - r4
509 408394221 : zout(2, j, nout2) = r + s
510 429389005 : zout(2, j, nout4) = r - s
511 : END DO; END DO
512 28950881 : DO 4000, ia = 2, after
513 26139469 : ias = ia - 1
514 26139469 : IF (2*ias .EQ. after) THEN
515 1188739 : nin1 = ia - after
516 1188739 : nout1 = ia - atn
517 2779916 : DO ib = 1, before
518 1591177 : nin1 = nin1 + after
519 1591177 : nin2 = nin1 + atb
520 1591177 : nin3 = nin2 + atb
521 1591177 : nin4 = nin3 + atb
522 1591177 : nout1 = nout1 + atn
523 1591177 : nout2 = nout1 + after
524 1591177 : nout3 = nout2 + after
525 1591177 : nout4 = nout3 + after
526 33361673 : DO j = 1, nfft
527 30581757 : r1 = zin(1, j, nin1)
528 30581757 : s1 = zin(2, j, nin1)
529 30581757 : r = zin(1, j, nin2)
530 30581757 : s = zin(2, j, nin2)
531 30581757 : r2 = (r - s)*rt2i
532 30581757 : s2 = (r + s)*rt2i
533 30581757 : r3 = zin(2, j, nin3)
534 30581757 : s3 = zin(1, j, nin3)
535 30581757 : r = zin(1, j, nin4)
536 30581757 : s = zin(2, j, nin4)
537 30581757 : r4 = (r + s)*rt2i
538 30581757 : s4 = (r - s)*rt2i
539 30581757 : r = r1 - r3
540 30581757 : s = r2 - r4
541 30581757 : zout(1, j, nout1) = r + s
542 30581757 : zout(1, j, nout3) = r - s
543 30581757 : r = r1 + r3
544 30581757 : s = s2 - s4
545 30581757 : zout(1, j, nout2) = r - s
546 30581757 : zout(1, j, nout4) = r + s
547 30581757 : r = s1 + s3
548 30581757 : s = s2 + s4
549 30581757 : zout(2, j, nout1) = r + s
550 30581757 : zout(2, j, nout3) = r - s
551 30581757 : r = s1 - s3
552 30581757 : s = r2 + r4
553 30581757 : zout(2, j, nout2) = r + s
554 32172934 : zout(2, j, nout4) = r - s
555 : END DO; END DO
556 : ELSE
557 24950730 : itt = ias*before
558 24950730 : itrig = itt + 1
559 24950730 : cr2 = trig(1, itrig)
560 24950730 : ci2 = trig(2, itrig)
561 24950730 : itrig = itrig + itt
562 24950730 : cr3 = trig(1, itrig)
563 24950730 : ci3 = trig(2, itrig)
564 24950730 : itrig = itrig + itt
565 24950730 : cr4 = trig(1, itrig)
566 24950730 : ci4 = trig(2, itrig)
567 24950730 : nin1 = ia - after
568 24950730 : nout1 = ia - atn
569 62328600 : DO ib = 1, before
570 37377870 : nin1 = nin1 + after
571 37377870 : nin2 = nin1 + atb
572 37377870 : nin3 = nin2 + atb
573 37377870 : nin4 = nin3 + atb
574 37377870 : nout1 = nout1 + atn
575 37377870 : nout2 = nout1 + after
576 37377870 : nout3 = nout2 + after
577 37377870 : nout4 = nout3 + after
578 769775478 : DO j = 1, nfft
579 707446878 : r1 = zin(1, j, nin1)
580 707446878 : s1 = zin(2, j, nin1)
581 707446878 : r = zin(1, j, nin2)
582 707446878 : s = zin(2, j, nin2)
583 707446878 : r2 = r*cr2 - s*ci2
584 707446878 : s2 = r*ci2 + s*cr2
585 707446878 : r = zin(1, j, nin3)
586 707446878 : s = zin(2, j, nin3)
587 707446878 : r3 = r*cr3 - s*ci3
588 707446878 : s3 = r*ci3 + s*cr3
589 707446878 : r = zin(1, j, nin4)
590 707446878 : s = zin(2, j, nin4)
591 707446878 : r4 = r*cr4 - s*ci4
592 707446878 : s4 = r*ci4 + s*cr4
593 707446878 : r = r1 + r3
594 707446878 : s = r2 + r4
595 707446878 : zout(1, j, nout1) = r + s
596 707446878 : zout(1, j, nout3) = r - s
597 707446878 : r = r1 - r3
598 707446878 : s = s2 - s4
599 707446878 : zout(1, j, nout2) = r - s
600 707446878 : zout(1, j, nout4) = r + s
601 707446878 : r = s1 + s3
602 707446878 : s = s2 + s4
603 707446878 : zout(2, j, nout1) = r + s
604 707446878 : zout(2, j, nout3) = r - s
605 707446878 : r = s1 - s3
606 707446878 : s = r2 - r4
607 707446878 : zout(2, j, nout2) = r + s
608 744824748 : zout(2, j, nout4) = r - s
609 : END DO; END DO
610 : END IF
611 2811412 : 4000 CONTINUE
612 : ELSE
613 2676757 : ia = 1
614 2676757 : nin1 = ia - after
615 2676757 : nout1 = ia - atn
616 22597141 : DO ib = 1, before
617 19920384 : nin1 = nin1 + after
618 19920384 : nin2 = nin1 + atb
619 19920384 : nin3 = nin2 + atb
620 19920384 : nin4 = nin3 + atb
621 19920384 : nout1 = nout1 + atn
622 19920384 : nout2 = nout1 + after
623 19920384 : nout3 = nout2 + after
624 19920384 : nout4 = nout3 + after
625 411175953 : DO j = 1, nfft
626 388578812 : r1 = zin(1, j, nin1)
627 388578812 : s1 = zin(2, j, nin1)
628 388578812 : r2 = zin(1, j, nin2)
629 388578812 : s2 = zin(2, j, nin2)
630 388578812 : r3 = zin(1, j, nin3)
631 388578812 : s3 = zin(2, j, nin3)
632 388578812 : r4 = zin(1, j, nin4)
633 388578812 : s4 = zin(2, j, nin4)
634 388578812 : r = r1 + r3
635 388578812 : s = r2 + r4
636 388578812 : zout(1, j, nout1) = r + s
637 388578812 : zout(1, j, nout3) = r - s
638 388578812 : r = r1 - r3
639 388578812 : s = s2 - s4
640 388578812 : zout(1, j, nout2) = r + s
641 388578812 : zout(1, j, nout4) = r - s
642 388578812 : r = s1 + s3
643 388578812 : s = s2 + s4
644 388578812 : zout(2, j, nout1) = r + s
645 388578812 : zout(2, j, nout3) = r - s
646 388578812 : r = s1 - s3
647 388578812 : s = r2 - r4
648 388578812 : zout(2, j, nout2) = r - s
649 408499196 : zout(2, j, nout4) = r + s
650 : END DO; END DO
651 27302530 : DO 4100, ia = 2, after
652 24625773 : ias = ia - 1
653 24625773 : IF (2*ias .EQ. after) THEN
654 1126623 : nin1 = ia - after
655 1126623 : nout1 = ia - atn
656 2618856 : DO ib = 1, before
657 1492233 : nin1 = nin1 + after
658 1492233 : nin2 = nin1 + atb
659 1492233 : nin3 = nin2 + atb
660 1492233 : nin4 = nin3 + atb
661 1492233 : nout1 = nout1 + atn
662 1492233 : nout2 = nout1 + after
663 1492233 : nout3 = nout2 + after
664 1492233 : nout4 = nout3 + after
665 31332518 : DO j = 1, nfft
666 28713662 : r1 = zin(1, j, nin1)
667 28713662 : s1 = zin(2, j, nin1)
668 28713662 : r = zin(1, j, nin2)
669 28713662 : s = zin(2, j, nin2)
670 28713662 : r2 = (r + s)*rt2i
671 28713662 : s2 = (s - r)*rt2i
672 28713662 : r3 = zin(2, j, nin3)
673 28713662 : s3 = zin(1, j, nin3)
674 28713662 : r = zin(1, j, nin4)
675 28713662 : s = zin(2, j, nin4)
676 28713662 : r4 = (s - r)*rt2i
677 28713662 : s4 = (r + s)*rt2i
678 28713662 : r = r1 + r3
679 28713662 : s = r2 + r4
680 28713662 : zout(1, j, nout1) = r + s
681 28713662 : zout(1, j, nout3) = r - s
682 28713662 : r = r1 - r3
683 28713662 : s = s2 + s4
684 28713662 : zout(1, j, nout2) = r + s
685 28713662 : zout(1, j, nout4) = r - s
686 28713662 : r = s1 - s3
687 28713662 : s = s2 - s4
688 28713662 : zout(2, j, nout1) = r + s
689 28713662 : zout(2, j, nout3) = r - s
690 28713662 : r = s1 + s3
691 28713662 : s = r2 - r4
692 28713662 : zout(2, j, nout2) = r - s
693 30205895 : zout(2, j, nout4) = r + s
694 : END DO; END DO
695 : ELSE
696 23499150 : itt = ias*before
697 23499150 : itrig = itt + 1
698 23499150 : cr2 = trig(1, itrig)
699 23499150 : ci2 = trig(2, itrig)
700 23499150 : itrig = itrig + itt
701 23499150 : cr3 = trig(1, itrig)
702 23499150 : ci3 = trig(2, itrig)
703 23499150 : itrig = itrig + itt
704 23499150 : cr4 = trig(1, itrig)
705 23499150 : ci4 = trig(2, itrig)
706 23499150 : nin1 = ia - after
707 23499150 : nout1 = ia - atn
708 58826424 : DO ib = 1, before
709 35327274 : nin1 = nin1 + after
710 35327274 : nin2 = nin1 + atb
711 35327274 : nin3 = nin2 + atb
712 35327274 : nin4 = nin3 + atb
713 35327274 : nout1 = nout1 + atn
714 35327274 : nout2 = nout1 + after
715 35327274 : nout3 = nout2 + after
716 35327274 : nout4 = nout3 + after
717 731147316 : DO j = 1, nfft
718 672320892 : r1 = zin(1, j, nin1)
719 672320892 : s1 = zin(2, j, nin1)
720 672320892 : r = zin(1, j, nin2)
721 672320892 : s = zin(2, j, nin2)
722 672320892 : r2 = r*cr2 - s*ci2
723 672320892 : s2 = r*ci2 + s*cr2
724 672320892 : r = zin(1, j, nin3)
725 672320892 : s = zin(2, j, nin3)
726 672320892 : r3 = r*cr3 - s*ci3
727 672320892 : s3 = r*ci3 + s*cr3
728 672320892 : r = zin(1, j, nin4)
729 672320892 : s = zin(2, j, nin4)
730 672320892 : r4 = r*cr4 - s*ci4
731 672320892 : s4 = r*ci4 + s*cr4
732 672320892 : r = r1 + r3
733 672320892 : s = r2 + r4
734 672320892 : zout(1, j, nout1) = r + s
735 672320892 : zout(1, j, nout3) = r - s
736 672320892 : r = r1 - r3
737 672320892 : s = s2 - s4
738 672320892 : zout(1, j, nout2) = r + s
739 672320892 : zout(1, j, nout4) = r - s
740 672320892 : r = s1 + s3
741 672320892 : s = s2 + s4
742 672320892 : zout(2, j, nout1) = r + s
743 672320892 : zout(2, j, nout3) = r - s
744 672320892 : r = s1 - s3
745 672320892 : s = r2 - r4
746 672320892 : zout(2, j, nout2) = r - s
747 707648166 : zout(2, j, nout4) = r + s
748 : END DO; END DO
749 : END IF
750 2676757 : 4100 CONTINUE
751 : END IF
752 : ELSE IF (now .EQ. 8) THEN
753 2538568 : IF (isign .EQ. -1) THEN
754 1223466 : ia = 1
755 1223466 : nin1 = ia - after
756 1223466 : nout1 = ia - atn
757 10364446 : DO ib = 1, before
758 9140980 : nin1 = nin1 + after
759 9140980 : nin2 = nin1 + atb
760 9140980 : nin3 = nin2 + atb
761 9140980 : nin4 = nin3 + atb
762 9140980 : nin5 = nin4 + atb
763 9140980 : nin6 = nin5 + atb
764 9140980 : nin7 = nin6 + atb
765 9140980 : nin8 = nin7 + atb
766 9140980 : nout1 = nout1 + atn
767 9140980 : nout2 = nout1 + after
768 9140980 : nout3 = nout2 + after
769 9140980 : nout4 = nout3 + after
770 9140980 : nout5 = nout4 + after
771 9140980 : nout6 = nout5 + after
772 9140980 : nout7 = nout6 + after
773 9140980 : nout8 = nout7 + after
774 186170866 : DO j = 1, nfft
775 175806420 : r1 = zin(1, j, nin1)
776 175806420 : s1 = zin(2, j, nin1)
777 175806420 : r2 = zin(1, j, nin2)
778 175806420 : s2 = zin(2, j, nin2)
779 175806420 : r3 = zin(1, j, nin3)
780 175806420 : s3 = zin(2, j, nin3)
781 175806420 : r4 = zin(1, j, nin4)
782 175806420 : s4 = zin(2, j, nin4)
783 175806420 : r5 = zin(1, j, nin5)
784 175806420 : s5 = zin(2, j, nin5)
785 175806420 : r6 = zin(1, j, nin6)
786 175806420 : s6 = zin(2, j, nin6)
787 175806420 : r7 = zin(1, j, nin7)
788 175806420 : s7 = zin(2, j, nin7)
789 175806420 : r8 = zin(1, j, nin8)
790 175806420 : s8 = zin(2, j, nin8)
791 175806420 : r = r1 + r5
792 175806420 : s = r3 + r7
793 175806420 : ap = r + s
794 175806420 : am = r - s
795 175806420 : r = r2 + r6
796 175806420 : s = r4 + r8
797 175806420 : bp = r + s
798 175806420 : bm = r - s
799 175806420 : r = s1 + s5
800 175806420 : s = s3 + s7
801 175806420 : cp = r + s
802 175806420 : cm = r - s
803 175806420 : r = s2 + s6
804 175806420 : s = s4 + s8
805 175806420 : dpp = r + s
806 175806420 : dm = r - s
807 175806420 : zout(1, j, nout1) = ap + bp
808 175806420 : zout(2, j, nout1) = cp + dpp
809 175806420 : zout(1, j, nout5) = ap - bp
810 175806420 : zout(2, j, nout5) = cp - dpp
811 175806420 : zout(1, j, nout3) = am + dm
812 175806420 : zout(2, j, nout3) = cm - bm
813 175806420 : zout(1, j, nout7) = am - dm
814 175806420 : zout(2, j, nout7) = cm + bm
815 175806420 : r = r1 - r5
816 175806420 : s = s3 - s7
817 175806420 : ap = r + s
818 175806420 : am = r - s
819 175806420 : r = s1 - s5
820 175806420 : s = r3 - r7
821 175806420 : bp = r + s
822 175806420 : bm = r - s
823 175806420 : r = s4 - s8
824 175806420 : s = r2 - r6
825 175806420 : cp = r + s
826 175806420 : cm = r - s
827 175806420 : r = s2 - s6
828 175806420 : s = r4 - r8
829 175806420 : dpp = r + s
830 175806420 : dm = r - s
831 175806420 : r = (cp + dm)*rt2i
832 175806420 : s = (dm - cp)*rt2i
833 175806420 : cp = (cm + dpp)*rt2i
834 175806420 : dpp = (cm - dpp)*rt2i
835 175806420 : zout(1, j, nout2) = ap + r
836 175806420 : zout(2, j, nout2) = bm + s
837 175806420 : zout(1, j, nout6) = ap - r
838 175806420 : zout(2, j, nout6) = bm - s
839 175806420 : zout(1, j, nout4) = am + cp
840 175806420 : zout(2, j, nout4) = bp + dpp
841 175806420 : zout(1, j, nout8) = am - cp
842 184947400 : zout(2, j, nout8) = bp - dpp
843 : END DO; END DO
844 3535941 : DO 8000, ia = 2, after
845 2312475 : ias = ia - 1
846 2312475 : itt = ias*before
847 2312475 : itrig = itt + 1
848 2312475 : cr2 = trig(1, itrig)
849 2312475 : ci2 = trig(2, itrig)
850 2312475 : itrig = itrig + itt
851 2312475 : cr3 = trig(1, itrig)
852 2312475 : ci3 = trig(2, itrig)
853 2312475 : itrig = itrig + itt
854 2312475 : cr4 = trig(1, itrig)
855 2312475 : ci4 = trig(2, itrig)
856 2312475 : itrig = itrig + itt
857 2312475 : cr5 = trig(1, itrig)
858 2312475 : ci5 = trig(2, itrig)
859 2312475 : itrig = itrig + itt
860 2312475 : cr6 = trig(1, itrig)
861 2312475 : ci6 = trig(2, itrig)
862 2312475 : itrig = itrig + itt
863 2312475 : cr7 = trig(1, itrig)
864 2312475 : ci7 = trig(2, itrig)
865 2312475 : itrig = itrig + itt
866 2312475 : cr8 = trig(1, itrig)
867 2312475 : ci8 = trig(2, itrig)
868 2312475 : nin1 = ia - after
869 2312475 : nout1 = ia - atn
870 8563760 : DO ib = 1, before
871 6251285 : nin1 = nin1 + after
872 6251285 : nin2 = nin1 + atb
873 6251285 : nin3 = nin2 + atb
874 6251285 : nin4 = nin3 + atb
875 6251285 : nin5 = nin4 + atb
876 6251285 : nin6 = nin5 + atb
877 6251285 : nin7 = nin6 + atb
878 6251285 : nin8 = nin7 + atb
879 6251285 : nout1 = nout1 + atn
880 6251285 : nout2 = nout1 + after
881 6251285 : nout3 = nout2 + after
882 6251285 : nout4 = nout3 + after
883 6251285 : nout5 = nout4 + after
884 6251285 : nout6 = nout5 + after
885 6251285 : nout7 = nout6 + after
886 6251285 : nout8 = nout7 + after
887 92622360 : DO j = 1, nfft
888 84058600 : r1 = zin(1, j, nin1)
889 84058600 : s1 = zin(2, j, nin1)
890 84058600 : r = zin(1, j, nin2)
891 84058600 : s = zin(2, j, nin2)
892 84058600 : r2 = r*cr2 - s*ci2
893 84058600 : s2 = r*ci2 + s*cr2
894 84058600 : r = zin(1, j, nin3)
895 84058600 : s = zin(2, j, nin3)
896 84058600 : r3 = r*cr3 - s*ci3
897 84058600 : s3 = r*ci3 + s*cr3
898 84058600 : r = zin(1, j, nin4)
899 84058600 : s = zin(2, j, nin4)
900 84058600 : r4 = r*cr4 - s*ci4
901 84058600 : s4 = r*ci4 + s*cr4
902 84058600 : r = zin(1, j, nin5)
903 84058600 : s = zin(2, j, nin5)
904 84058600 : r5 = r*cr5 - s*ci5
905 84058600 : s5 = r*ci5 + s*cr5
906 84058600 : r = zin(1, j, nin6)
907 84058600 : s = zin(2, j, nin6)
908 84058600 : r6 = r*cr6 - s*ci6
909 84058600 : s6 = r*ci6 + s*cr6
910 84058600 : r = zin(1, j, nin7)
911 84058600 : s = zin(2, j, nin7)
912 84058600 : r7 = r*cr7 - s*ci7
913 84058600 : s7 = r*ci7 + s*cr7
914 84058600 : r = zin(1, j, nin8)
915 84058600 : s = zin(2, j, nin8)
916 84058600 : r8 = r*cr8 - s*ci8
917 84058600 : s8 = r*ci8 + s*cr8
918 84058600 : r = r1 + r5
919 84058600 : s = r3 + r7
920 84058600 : ap = r + s
921 84058600 : am = r - s
922 84058600 : r = r2 + r6
923 84058600 : s = r4 + r8
924 84058600 : bp = r + s
925 84058600 : bm = r - s
926 84058600 : r = s1 + s5
927 84058600 : s = s3 + s7
928 84058600 : cp = r + s
929 84058600 : cm = r - s
930 84058600 : r = s2 + s6
931 84058600 : s = s4 + s8
932 84058600 : dpp = r + s
933 84058600 : dm = r - s
934 84058600 : zout(1, j, nout1) = ap + bp
935 84058600 : zout(2, j, nout1) = cp + dpp
936 84058600 : zout(1, j, nout5) = ap - bp
937 84058600 : zout(2, j, nout5) = cp - dpp
938 84058600 : zout(1, j, nout3) = am + dm
939 84058600 : zout(2, j, nout3) = cm - bm
940 84058600 : zout(1, j, nout7) = am - dm
941 84058600 : zout(2, j, nout7) = cm + bm
942 84058600 : r = r1 - r5
943 84058600 : s = s3 - s7
944 84058600 : ap = r + s
945 84058600 : am = r - s
946 84058600 : r = s1 - s5
947 84058600 : s = r3 - r7
948 84058600 : bp = r + s
949 84058600 : bm = r - s
950 84058600 : r = s4 - s8
951 84058600 : s = r2 - r6
952 84058600 : cp = r + s
953 84058600 : cm = r - s
954 84058600 : r = s2 - s6
955 84058600 : s = r4 - r8
956 84058600 : dpp = r + s
957 84058600 : dm = r - s
958 84058600 : r = (cp + dm)*rt2i
959 84058600 : s = (dm - cp)*rt2i
960 84058600 : cp = (cm + dpp)*rt2i
961 84058600 : dpp = (cm - dpp)*rt2i
962 84058600 : zout(1, j, nout2) = ap + r
963 84058600 : zout(2, j, nout2) = bm + s
964 84058600 : zout(1, j, nout6) = ap - r
965 84058600 : zout(2, j, nout6) = bm - s
966 84058600 : zout(1, j, nout4) = am + cp
967 84058600 : zout(2, j, nout4) = bp + dpp
968 84058600 : zout(1, j, nout8) = am - cp
969 90309885 : zout(2, j, nout8) = bp - dpp
970 : END DO; END DO
971 1223466 : 8000 CONTINUE
972 :
973 : ELSE
974 1315102 : ia = 1
975 1315102 : nin1 = ia - after
976 1315102 : nout1 = ia - atn
977 11266946 : DO ib = 1, before
978 9951844 : nin1 = nin1 + after
979 9951844 : nin2 = nin1 + atb
980 9951844 : nin3 = nin2 + atb
981 9951844 : nin4 = nin3 + atb
982 9951844 : nin5 = nin4 + atb
983 9951844 : nin6 = nin5 + atb
984 9951844 : nin7 = nin6 + atb
985 9951844 : nin8 = nin7 + atb
986 9951844 : nout1 = nout1 + atn
987 9951844 : nout2 = nout1 + after
988 9951844 : nout3 = nout2 + after
989 9951844 : nout4 = nout3 + after
990 9951844 : nout5 = nout4 + after
991 9951844 : nout6 = nout5 + after
992 9951844 : nout7 = nout6 + after
993 9951844 : nout8 = nout7 + after
994 202052912 : DO j = 1, nfft
995 190785966 : r1 = zin(1, j, nin1)
996 190785966 : s1 = zin(2, j, nin1)
997 190785966 : r2 = zin(1, j, nin2)
998 190785966 : s2 = zin(2, j, nin2)
999 190785966 : r3 = zin(1, j, nin3)
1000 190785966 : s3 = zin(2, j, nin3)
1001 190785966 : r4 = zin(1, j, nin4)
1002 190785966 : s4 = zin(2, j, nin4)
1003 190785966 : r5 = zin(1, j, nin5)
1004 190785966 : s5 = zin(2, j, nin5)
1005 190785966 : r6 = zin(1, j, nin6)
1006 190785966 : s6 = zin(2, j, nin6)
1007 190785966 : r7 = zin(1, j, nin7)
1008 190785966 : s7 = zin(2, j, nin7)
1009 190785966 : r8 = zin(1, j, nin8)
1010 190785966 : s8 = zin(2, j, nin8)
1011 190785966 : r = r1 + r5
1012 190785966 : s = r3 + r7
1013 190785966 : ap = r + s
1014 190785966 : am = r - s
1015 190785966 : r = r2 + r6
1016 190785966 : s = r4 + r8
1017 190785966 : bp = r + s
1018 190785966 : bm = r - s
1019 190785966 : r = s1 + s5
1020 190785966 : s = s3 + s7
1021 190785966 : cp = r + s
1022 190785966 : cm = r - s
1023 190785966 : r = s2 + s6
1024 190785966 : s = s4 + s8
1025 190785966 : dpp = r + s
1026 190785966 : dm = r - s
1027 190785966 : zout(1, j, nout1) = ap + bp
1028 190785966 : zout(2, j, nout1) = cp + dpp
1029 190785966 : zout(1, j, nout5) = ap - bp
1030 190785966 : zout(2, j, nout5) = cp - dpp
1031 190785966 : zout(1, j, nout3) = am - dm
1032 190785966 : zout(2, j, nout3) = cm + bm
1033 190785966 : zout(1, j, nout7) = am + dm
1034 190785966 : zout(2, j, nout7) = cm - bm
1035 190785966 : r = r1 - r5
1036 190785966 : s = -s3 + s7
1037 190785966 : ap = r + s
1038 190785966 : am = r - s
1039 190785966 : r = s1 - s5
1040 190785966 : s = r7 - r3
1041 190785966 : bp = r + s
1042 190785966 : bm = r - s
1043 190785966 : r = -s4 + s8
1044 190785966 : s = r2 - r6
1045 190785966 : cp = r + s
1046 190785966 : cm = r - s
1047 190785966 : r = -s2 + s6
1048 190785966 : s = r4 - r8
1049 190785966 : dpp = r + s
1050 190785966 : dm = r - s
1051 190785966 : r = (cp + dm)*rt2i
1052 190785966 : s = (cp - dm)*rt2i
1053 190785966 : cp = (cm + dpp)*rt2i
1054 190785966 : dpp = (dpp - cm)*rt2i
1055 190785966 : zout(1, j, nout2) = ap + r
1056 190785966 : zout(2, j, nout2) = bm + s
1057 190785966 : zout(1, j, nout6) = ap - r
1058 190785966 : zout(2, j, nout6) = bm - s
1059 190785966 : zout(1, j, nout4) = am + cp
1060 190785966 : zout(2, j, nout4) = bp + dpp
1061 190785966 : zout(1, j, nout8) = am - cp
1062 200737810 : zout(2, j, nout8) = bp - dpp
1063 : END DO; END DO
1064 :
1065 3790362 : DO 8001, ia = 2, after
1066 2475260 : ias = ia - 1
1067 2475260 : itt = ias*before
1068 2475260 : itrig = itt + 1
1069 2475260 : cr2 = trig(1, itrig)
1070 2475260 : ci2 = trig(2, itrig)
1071 2475260 : itrig = itrig + itt
1072 2475260 : cr3 = trig(1, itrig)
1073 2475260 : ci3 = trig(2, itrig)
1074 2475260 : itrig = itrig + itt
1075 2475260 : cr4 = trig(1, itrig)
1076 2475260 : ci4 = trig(2, itrig)
1077 2475260 : itrig = itrig + itt
1078 2475260 : cr5 = trig(1, itrig)
1079 2475260 : ci5 = trig(2, itrig)
1080 2475260 : itrig = itrig + itt
1081 2475260 : cr6 = trig(1, itrig)
1082 2475260 : ci6 = trig(2, itrig)
1083 2475260 : itrig = itrig + itt
1084 2475260 : cr7 = trig(1, itrig)
1085 2475260 : ci7 = trig(2, itrig)
1086 2475260 : itrig = itrig + itt
1087 2475260 : cr8 = trig(1, itrig)
1088 2475260 : ci8 = trig(2, itrig)
1089 2475260 : nin1 = ia - after
1090 2475260 : nout1 = ia - atn
1091 9195811 : DO ib = 1, before
1092 6720551 : nin1 = nin1 + after
1093 6720551 : nin2 = nin1 + atb
1094 6720551 : nin3 = nin2 + atb
1095 6720551 : nin4 = nin3 + atb
1096 6720551 : nin5 = nin4 + atb
1097 6720551 : nin6 = nin5 + atb
1098 6720551 : nin7 = nin6 + atb
1099 6720551 : nin8 = nin7 + atb
1100 6720551 : nout1 = nout1 + atn
1101 6720551 : nout2 = nout1 + after
1102 6720551 : nout3 = nout2 + after
1103 6720551 : nout4 = nout3 + after
1104 6720551 : nout5 = nout4 + after
1105 6720551 : nout6 = nout5 + after
1106 6720551 : nout7 = nout6 + after
1107 6720551 : nout8 = nout7 + after
1108 98906246 : DO j = 1, nfft
1109 89710435 : r1 = zin(1, j, nin1)
1110 89710435 : s1 = zin(2, j, nin1)
1111 89710435 : r = zin(1, j, nin2)
1112 89710435 : s = zin(2, j, nin2)
1113 89710435 : r2 = r*cr2 - s*ci2
1114 89710435 : s2 = r*ci2 + s*cr2
1115 89710435 : r = zin(1, j, nin3)
1116 89710435 : s = zin(2, j, nin3)
1117 89710435 : r3 = r*cr3 - s*ci3
1118 89710435 : s3 = r*ci3 + s*cr3
1119 89710435 : r = zin(1, j, nin4)
1120 89710435 : s = zin(2, j, nin4)
1121 89710435 : r4 = r*cr4 - s*ci4
1122 89710435 : s4 = r*ci4 + s*cr4
1123 89710435 : r = zin(1, j, nin5)
1124 89710435 : s = zin(2, j, nin5)
1125 89710435 : r5 = r*cr5 - s*ci5
1126 89710435 : s5 = r*ci5 + s*cr5
1127 89710435 : r = zin(1, j, nin6)
1128 89710435 : s = zin(2, j, nin6)
1129 89710435 : r6 = r*cr6 - s*ci6
1130 89710435 : s6 = r*ci6 + s*cr6
1131 89710435 : r = zin(1, j, nin7)
1132 89710435 : s = zin(2, j, nin7)
1133 89710435 : r7 = r*cr7 - s*ci7
1134 89710435 : s7 = r*ci7 + s*cr7
1135 89710435 : r = zin(1, j, nin8)
1136 89710435 : s = zin(2, j, nin8)
1137 89710435 : r8 = r*cr8 - s*ci8
1138 89710435 : s8 = r*ci8 + s*cr8
1139 89710435 : r = r1 + r5
1140 89710435 : s = r3 + r7
1141 89710435 : ap = r + s
1142 89710435 : am = r - s
1143 89710435 : r = r2 + r6
1144 89710435 : s = r4 + r8
1145 89710435 : bp = r + s
1146 89710435 : bm = r - s
1147 89710435 : r = s1 + s5
1148 89710435 : s = s3 + s7
1149 89710435 : cp = r + s
1150 89710435 : cm = r - s
1151 89710435 : r = s2 + s6
1152 89710435 : s = s4 + s8
1153 89710435 : dpp = r + s
1154 89710435 : dm = r - s
1155 89710435 : zout(1, j, nout1) = ap + bp
1156 89710435 : zout(2, j, nout1) = cp + dpp
1157 89710435 : zout(1, j, nout5) = ap - bp
1158 89710435 : zout(2, j, nout5) = cp - dpp
1159 89710435 : zout(1, j, nout3) = am - dm
1160 89710435 : zout(2, j, nout3) = cm + bm
1161 89710435 : zout(1, j, nout7) = am + dm
1162 89710435 : zout(2, j, nout7) = cm - bm
1163 89710435 : r = r1 - r5
1164 89710435 : s = -s3 + s7
1165 89710435 : ap = r + s
1166 89710435 : am = r - s
1167 89710435 : r = s1 - s5
1168 89710435 : s = r7 - r3
1169 89710435 : bp = r + s
1170 89710435 : bm = r - s
1171 89710435 : r = -s4 + s8
1172 89710435 : s = r2 - r6
1173 89710435 : cp = r + s
1174 89710435 : cm = r - s
1175 89710435 : r = -s2 + s6
1176 89710435 : s = r4 - r8
1177 89710435 : dpp = r + s
1178 89710435 : dm = r - s
1179 89710435 : r = (cp + dm)*rt2i
1180 89710435 : s = (cp - dm)*rt2i
1181 89710435 : cp = (cm + dpp)*rt2i
1182 89710435 : dpp = (dpp - cm)*rt2i
1183 89710435 : zout(1, j, nout2) = ap + r
1184 89710435 : zout(2, j, nout2) = bm + s
1185 89710435 : zout(1, j, nout6) = ap - r
1186 89710435 : zout(2, j, nout6) = bm - s
1187 89710435 : zout(1, j, nout4) = am + cp
1188 89710435 : zout(2, j, nout4) = bp + dpp
1189 89710435 : zout(1, j, nout8) = am - cp
1190 96430986 : zout(2, j, nout8) = bp - dpp
1191 : END DO; END DO
1192 1315102 : 8001 CONTINUE
1193 :
1194 : END IF
1195 : ELSE IF (now .EQ. 3) THEN
1196 : ! .5_dp*sqrt(3._dp)
1197 8766314 : bb = isign*0.8660254037844387_dp
1198 8766314 : ia = 1
1199 8766314 : nin1 = ia - after
1200 8766314 : nout1 = ia - atn
1201 31332574 : DO ib = 1, before
1202 22566260 : nin1 = nin1 + after
1203 22566260 : nin2 = nin1 + atb
1204 22566260 : nin3 = nin2 + atb
1205 22566260 : nout1 = nout1 + atn
1206 22566260 : nout2 = nout1 + after
1207 22566260 : nout3 = nout2 + after
1208 471200608 : DO j = 1, nfft
1209 439868034 : r1 = zin(1, j, nin1)
1210 439868034 : s1 = zin(2, j, nin1)
1211 439868034 : r2 = zin(1, j, nin2)
1212 439868034 : s2 = zin(2, j, nin2)
1213 439868034 : r3 = zin(1, j, nin3)
1214 439868034 : s3 = zin(2, j, nin3)
1215 439868034 : r = r2 + r3
1216 439868034 : s = s2 + s3
1217 439868034 : zout(1, j, nout1) = r + r1
1218 439868034 : zout(2, j, nout1) = s + s1
1219 439868034 : r1 = r1 - .5_dp*r
1220 439868034 : s1 = s1 - .5_dp*s
1221 439868034 : r2 = bb*(r2 - r3)
1222 439868034 : s2 = bb*(s2 - s3)
1223 439868034 : zout(1, j, nout2) = r1 - s2
1224 439868034 : zout(2, j, nout2) = s1 + r2
1225 439868034 : zout(1, j, nout3) = r1 + s2
1226 462434294 : zout(2, j, nout3) = s1 - r2
1227 : END DO; END DO
1228 164240154 : DO 3000, ia = 2, after
1229 155473840 : ias = ia - 1
1230 155473840 : IF (4*ias .EQ. 3*after) THEN
1231 5724213 : IF (isign .EQ. 1) THEN
1232 2939240 : nin1 = ia - after
1233 2939240 : nout1 = ia - atn
1234 11687776 : DO ib = 1, before
1235 8748536 : nin1 = nin1 + after
1236 8748536 : nin2 = nin1 + atb
1237 8748536 : nin3 = nin2 + atb
1238 8748536 : nout1 = nout1 + atn
1239 8748536 : nout2 = nout1 + after
1240 8748536 : nout3 = nout2 + after
1241 179264754 : DO j = 1, nfft
1242 167576978 : r1 = zin(1, j, nin1)
1243 167576978 : s1 = zin(2, j, nin1)
1244 167576978 : r2 = zin(2, j, nin2)
1245 167576978 : s2 = zin(1, j, nin2)
1246 167576978 : r3 = zin(1, j, nin3)
1247 167576978 : s3 = zin(2, j, nin3)
1248 167576978 : r = r3 + r2
1249 167576978 : s = s2 - s3
1250 167576978 : zout(1, j, nout1) = r1 - r
1251 167576978 : zout(2, j, nout1) = s + s1
1252 167576978 : r1 = r1 + .5_dp*r
1253 167576978 : s1 = s1 - .5_dp*s
1254 167576978 : r2 = bb*(r2 - r3)
1255 167576978 : s2 = bb*(s2 + s3)
1256 167576978 : zout(1, j, nout2) = r1 - s2
1257 167576978 : zout(2, j, nout2) = s1 - r2
1258 167576978 : zout(1, j, nout3) = r1 + s2
1259 176325514 : zout(2, j, nout3) = s1 + r2
1260 : END DO; END DO
1261 : ELSE
1262 2784973 : nin1 = ia - after
1263 2784973 : nout1 = ia - atn
1264 11065470 : DO ib = 1, before
1265 8280497 : nin1 = nin1 + after
1266 8280497 : nin2 = nin1 + atb
1267 8280497 : nin3 = nin2 + atb
1268 8280497 : nout1 = nout1 + atn
1269 8280497 : nout2 = nout1 + after
1270 8280497 : nout3 = nout2 + after
1271 170247306 : DO j = 1, nfft
1272 159181836 : r1 = zin(1, j, nin1)
1273 159181836 : s1 = zin(2, j, nin1)
1274 159181836 : r2 = zin(2, j, nin2)
1275 159181836 : s2 = zin(1, j, nin2)
1276 159181836 : r3 = zin(1, j, nin3)
1277 159181836 : s3 = zin(2, j, nin3)
1278 159181836 : r = r2 - r3
1279 159181836 : s = s2 + s3
1280 159181836 : zout(1, j, nout1) = r + r1
1281 159181836 : zout(2, j, nout1) = s1 - s
1282 159181836 : r1 = r1 - .5_dp*r
1283 159181836 : s1 = s1 + .5_dp*s
1284 159181836 : r2 = bb*(r2 + r3)
1285 159181836 : s2 = bb*(s2 - s3)
1286 159181836 : zout(1, j, nout2) = r1 + s2
1287 159181836 : zout(2, j, nout2) = s1 + r2
1288 159181836 : zout(1, j, nout3) = r1 - s2
1289 167462333 : zout(2, j, nout3) = s1 - r2
1290 : END DO; END DO
1291 : END IF
1292 149749627 : ELSE IF (8*ias .EQ. 3*after) THEN
1293 2111435 : IF (isign .EQ. 1) THEN
1294 1085481 : nin1 = ia - after
1295 1085481 : nout1 = ia - atn
1296 2611184 : DO ib = 1, before
1297 1525703 : nin1 = nin1 + after
1298 1525703 : nin2 = nin1 + atb
1299 1525703 : nin3 = nin2 + atb
1300 1525703 : nout1 = nout1 + atn
1301 1525703 : nout2 = nout1 + after
1302 1525703 : nout3 = nout2 + after
1303 32461574 : DO j = 1, nfft
1304 29850390 : r1 = zin(1, j, nin1)
1305 29850390 : s1 = zin(2, j, nin1)
1306 29850390 : r = zin(1, j, nin2)
1307 29850390 : s = zin(2, j, nin2)
1308 29850390 : r2 = (r - s)*rt2i
1309 29850390 : s2 = (r + s)*rt2i
1310 29850390 : r3 = zin(2, j, nin3)
1311 29850390 : s3 = zin(1, j, nin3)
1312 29850390 : r = r2 - r3
1313 29850390 : s = s2 + s3
1314 29850390 : zout(1, j, nout1) = r + r1
1315 29850390 : zout(2, j, nout1) = s + s1
1316 29850390 : r1 = r1 - .5_dp*r
1317 29850390 : s1 = s1 - .5_dp*s
1318 29850390 : r2 = bb*(r2 + r3)
1319 29850390 : s2 = bb*(s2 - s3)
1320 29850390 : zout(1, j, nout2) = r1 - s2
1321 29850390 : zout(2, j, nout2) = s1 + r2
1322 29850390 : zout(1, j, nout3) = r1 + s2
1323 31376093 : zout(2, j, nout3) = s1 - r2
1324 : END DO; END DO
1325 : ELSE
1326 1025954 : nin1 = ia - after
1327 1025954 : nout1 = ia - atn
1328 2461278 : DO ib = 1, before
1329 1435324 : nin1 = nin1 + after
1330 1435324 : nin2 = nin1 + atb
1331 1435324 : nin3 = nin2 + atb
1332 1435324 : nout1 = nout1 + atn
1333 1435324 : nout2 = nout1 + after
1334 1435324 : nout3 = nout2 + after
1335 30397104 : DO j = 1, nfft
1336 27935826 : r1 = zin(1, j, nin1)
1337 27935826 : s1 = zin(2, j, nin1)
1338 27935826 : r = zin(1, j, nin2)
1339 27935826 : s = zin(2, j, nin2)
1340 27935826 : r2 = (r + s)*rt2i
1341 27935826 : s2 = (s - r)*rt2i
1342 27935826 : r3 = zin(2, j, nin3)
1343 27935826 : s3 = zin(1, j, nin3)
1344 27935826 : r = r2 + r3
1345 27935826 : s = s2 - s3
1346 27935826 : zout(1, j, nout1) = r + r1
1347 27935826 : zout(2, j, nout1) = s + s1
1348 27935826 : r1 = r1 - .5_dp*r
1349 27935826 : s1 = s1 - .5_dp*s
1350 27935826 : r2 = bb*(r2 - r3)
1351 27935826 : s2 = bb*(s2 + s3)
1352 27935826 : zout(1, j, nout2) = r1 - s2
1353 27935826 : zout(2, j, nout2) = s1 + r2
1354 27935826 : zout(1, j, nout3) = r1 + s2
1355 29371150 : zout(2, j, nout3) = s1 - r2
1356 : END DO; END DO
1357 : END IF
1358 : ELSE
1359 147638192 : itt = ias*before
1360 147638192 : itrig = itt + 1
1361 147638192 : cr2 = trig(1, itrig)
1362 147638192 : ci2 = trig(2, itrig)
1363 147638192 : itrig = itrig + itt
1364 147638192 : cr3 = trig(1, itrig)
1365 147638192 : ci3 = trig(2, itrig)
1366 147638192 : nin1 = ia - after
1367 147638192 : nout1 = ia - atn
1368 351197234 : DO ib = 1, before
1369 203559042 : nin1 = nin1 + after
1370 203559042 : nin2 = nin1 + atb
1371 203559042 : nin3 = nin2 + atb
1372 203559042 : nout1 = nout1 + atn
1373 203559042 : nout2 = nout1 + after
1374 203559042 : nout3 = nout2 + after
1375 4030196374 : DO j = 1, nfft
1376 3678999140 : r1 = zin(1, j, nin1)
1377 3678999140 : s1 = zin(2, j, nin1)
1378 3678999140 : r = zin(1, j, nin2)
1379 3678999140 : s = zin(2, j, nin2)
1380 3678999140 : r2 = r*cr2 - s*ci2
1381 3678999140 : s2 = r*ci2 + s*cr2
1382 3678999140 : r = zin(1, j, nin3)
1383 3678999140 : s = zin(2, j, nin3)
1384 3678999140 : r3 = r*cr3 - s*ci3
1385 3678999140 : s3 = r*ci3 + s*cr3
1386 3678999140 : r = r2 + r3
1387 3678999140 : s = s2 + s3
1388 3678999140 : zout(1, j, nout1) = r + r1
1389 3678999140 : zout(2, j, nout1) = s + s1
1390 3678999140 : r1 = r1 - .5_dp*r
1391 3678999140 : s1 = s1 - .5_dp*s
1392 3678999140 : r2 = bb*(r2 - r3)
1393 3678999140 : s2 = bb*(s2 - s3)
1394 3678999140 : zout(1, j, nout2) = r1 - s2
1395 3678999140 : zout(2, j, nout2) = s1 + r2
1396 3678999140 : zout(1, j, nout3) = r1 + s2
1397 3882558182 : zout(2, j, nout3) = s1 - r2
1398 : END DO; END DO
1399 : END IF
1400 8766314 : 3000 CONTINUE
1401 : ELSE IF (now .EQ. 5) THEN
1402 : ! cos(2._dp*pi/5._dp)
1403 3359740 : cos2 = 0.3090169943749474_dp
1404 : ! cos(4._dp*pi/5._dp)
1405 3359740 : cos4 = -0.8090169943749474_dp
1406 : ! sin(2._dp*pi/5._dp)
1407 3359740 : sin2 = isign*0.9510565162951536_dp
1408 : ! sin(4._dp*pi/5._dp)
1409 3359740 : sin4 = isign*0.5877852522924731_dp
1410 3359740 : ia = 1
1411 3359740 : nin1 = ia - after
1412 3359740 : nout1 = ia - atn
1413 34912738 : DO ib = 1, before
1414 31552998 : nin1 = nin1 + after
1415 31552998 : nin2 = nin1 + atb
1416 31552998 : nin3 = nin2 + atb
1417 31552998 : nin4 = nin3 + atb
1418 31552998 : nin5 = nin4 + atb
1419 31552998 : nout1 = nout1 + atn
1420 31552998 : nout2 = nout1 + after
1421 31552998 : nout3 = nout2 + after
1422 31552998 : nout4 = nout3 + after
1423 31552998 : nout5 = nout4 + after
1424 670454011 : DO j = 1, nfft
1425 635541273 : r1 = zin(1, j, nin1)
1426 635541273 : s1 = zin(2, j, nin1)
1427 635541273 : r2 = zin(1, j, nin2)
1428 635541273 : s2 = zin(2, j, nin2)
1429 635541273 : r3 = zin(1, j, nin3)
1430 635541273 : s3 = zin(2, j, nin3)
1431 635541273 : r4 = zin(1, j, nin4)
1432 635541273 : s4 = zin(2, j, nin4)
1433 635541273 : r5 = zin(1, j, nin5)
1434 635541273 : s5 = zin(2, j, nin5)
1435 635541273 : r25 = r2 + r5
1436 635541273 : r34 = r3 + r4
1437 635541273 : s25 = s2 - s5
1438 635541273 : s34 = s3 - s4
1439 635541273 : zout(1, j, nout1) = r1 + r25 + r34
1440 635541273 : r = r1 + cos2*r25 + cos4*r34
1441 635541273 : s = sin2*s25 + sin4*s34
1442 635541273 : zout(1, j, nout2) = r - s
1443 635541273 : zout(1, j, nout5) = r + s
1444 635541273 : r = r1 + cos4*r25 + cos2*r34
1445 635541273 : s = sin4*s25 - sin2*s34
1446 635541273 : zout(1, j, nout3) = r - s
1447 635541273 : zout(1, j, nout4) = r + s
1448 635541273 : r25 = r2 - r5
1449 635541273 : r34 = r3 - r4
1450 635541273 : s25 = s2 + s5
1451 635541273 : s34 = s3 + s4
1452 635541273 : zout(2, j, nout1) = s1 + s25 + s34
1453 635541273 : r = s1 + cos2*s25 + cos4*s34
1454 635541273 : s = sin2*r25 + sin4*r34
1455 635541273 : zout(2, j, nout2) = r + s
1456 635541273 : zout(2, j, nout5) = r - s
1457 635541273 : r = s1 + cos4*s25 + cos2*s34
1458 635541273 : s = sin4*r25 - sin2*r34
1459 635541273 : zout(2, j, nout3) = r + s
1460 667094271 : zout(2, j, nout4) = r - s
1461 : END DO; END DO
1462 11512768 : DO 5000, ia = 2, after
1463 8153028 : ias = ia - 1
1464 8153028 : IF (8*ias .EQ. 5*after) THEN
1465 626664 : IF (isign .EQ. 1) THEN
1466 326946 : nin1 = ia - after
1467 326946 : nout1 = ia - atn
1468 954012 : DO ib = 1, before
1469 627066 : nin1 = nin1 + after
1470 627066 : nin2 = nin1 + atb
1471 627066 : nin3 = nin2 + atb
1472 627066 : nin4 = nin3 + atb
1473 627066 : nin5 = nin4 + atb
1474 627066 : nout1 = nout1 + atn
1475 627066 : nout2 = nout1 + after
1476 627066 : nout3 = nout2 + after
1477 627066 : nout4 = nout3 + after
1478 627066 : nout5 = nout4 + after
1479 14783799 : DO j = 1, nfft
1480 13829787 : r1 = zin(1, j, nin1)
1481 13829787 : s1 = zin(2, j, nin1)
1482 13829787 : r = zin(1, j, nin2)
1483 13829787 : s = zin(2, j, nin2)
1484 13829787 : r2 = (r - s)*rt2i
1485 13829787 : s2 = (r + s)*rt2i
1486 13829787 : r3 = zin(2, j, nin3)
1487 13829787 : s3 = zin(1, j, nin3)
1488 13829787 : r = zin(1, j, nin4)
1489 13829787 : s = zin(2, j, nin4)
1490 13829787 : r4 = (r + s)*rt2i
1491 13829787 : s4 = (r - s)*rt2i
1492 13829787 : r5 = zin(1, j, nin5)
1493 13829787 : s5 = zin(2, j, nin5)
1494 13829787 : r25 = r2 - r5
1495 13829787 : r34 = r3 + r4
1496 13829787 : s25 = s2 + s5
1497 13829787 : s34 = s3 - s4
1498 13829787 : zout(1, j, nout1) = r1 + r25 - r34
1499 13829787 : r = r1 + cos2*r25 - cos4*r34
1500 13829787 : s = sin2*s25 + sin4*s34
1501 13829787 : zout(1, j, nout2) = r - s
1502 13829787 : zout(1, j, nout5) = r + s
1503 13829787 : r = r1 + cos4*r25 - cos2*r34
1504 13829787 : s = sin4*s25 - sin2*s34
1505 13829787 : zout(1, j, nout3) = r - s
1506 13829787 : zout(1, j, nout4) = r + s
1507 13829787 : r25 = r2 + r5
1508 13829787 : r34 = r4 - r3
1509 13829787 : s25 = s2 - s5
1510 13829787 : s34 = s3 + s4
1511 13829787 : zout(2, j, nout1) = s1 + s25 + s34
1512 13829787 : r = s1 + cos2*s25 + cos4*s34
1513 13829787 : s = sin2*r25 + sin4*r34
1514 13829787 : zout(2, j, nout2) = r + s
1515 13829787 : zout(2, j, nout5) = r - s
1516 13829787 : r = s1 + cos4*s25 + cos2*s34
1517 13829787 : s = sin4*r25 - sin2*r34
1518 13829787 : zout(2, j, nout3) = r + s
1519 14456853 : zout(2, j, nout4) = r - s
1520 : END DO; END DO
1521 : ELSE
1522 299718 : nin1 = ia - after
1523 299718 : nout1 = ia - atn
1524 886380 : DO ib = 1, before
1525 586662 : nin1 = nin1 + after
1526 586662 : nin2 = nin1 + atb
1527 586662 : nin3 = nin2 + atb
1528 586662 : nin4 = nin3 + atb
1529 586662 : nin5 = nin4 + atb
1530 586662 : nout1 = nout1 + atn
1531 586662 : nout2 = nout1 + after
1532 586662 : nout3 = nout2 + after
1533 586662 : nout4 = nout3 + after
1534 586662 : nout5 = nout4 + after
1535 13592460 : DO j = 1, nfft
1536 12706080 : r1 = zin(1, j, nin1)
1537 12706080 : s1 = zin(2, j, nin1)
1538 12706080 : r = zin(1, j, nin2)
1539 12706080 : s = zin(2, j, nin2)
1540 12706080 : r2 = (r + s)*rt2i
1541 12706080 : s2 = (s - r)*rt2i
1542 12706080 : r3 = zin(2, j, nin3)
1543 12706080 : s3 = zin(1, j, nin3)
1544 12706080 : r = zin(1, j, nin4)
1545 12706080 : s = zin(2, j, nin4)
1546 12706080 : r4 = (s - r)*rt2i
1547 12706080 : s4 = (r + s)*rt2i
1548 12706080 : r5 = zin(1, j, nin5)
1549 12706080 : s5 = zin(2, j, nin5)
1550 12706080 : r25 = r2 - r5
1551 12706080 : r34 = r3 + r4
1552 12706080 : s25 = s2 + s5
1553 12706080 : s34 = s4 - s3
1554 12706080 : zout(1, j, nout1) = r1 + r25 + r34
1555 12706080 : r = r1 + cos2*r25 + cos4*r34
1556 12706080 : s = sin2*s25 + sin4*s34
1557 12706080 : zout(1, j, nout2) = r - s
1558 12706080 : zout(1, j, nout5) = r + s
1559 12706080 : r = r1 + cos4*r25 + cos2*r34
1560 12706080 : s = sin4*s25 - sin2*s34
1561 12706080 : zout(1, j, nout3) = r - s
1562 12706080 : zout(1, j, nout4) = r + s
1563 12706080 : r25 = r2 + r5
1564 12706080 : r34 = r3 - r4
1565 12706080 : s25 = s2 - s5
1566 12706080 : s34 = s3 + s4
1567 12706080 : zout(2, j, nout1) = s1 + s25 - s34
1568 12706080 : r = s1 + cos2*s25 - cos4*s34
1569 12706080 : s = sin2*r25 + sin4*r34
1570 12706080 : zout(2, j, nout2) = r + s
1571 12706080 : zout(2, j, nout5) = r - s
1572 12706080 : r = s1 + cos4*s25 - cos2*s34
1573 12706080 : s = sin4*r25 - sin2*r34
1574 12706080 : zout(2, j, nout3) = r + s
1575 13292742 : zout(2, j, nout4) = r - s
1576 : END DO; END DO
1577 : END IF
1578 : ELSE
1579 7526364 : ias = ia - 1
1580 7526364 : itt = ias*before
1581 7526364 : itrig = itt + 1
1582 7526364 : cr2 = trig(1, itrig)
1583 7526364 : ci2 = trig(2, itrig)
1584 7526364 : itrig = itrig + itt
1585 7526364 : cr3 = trig(1, itrig)
1586 7526364 : ci3 = trig(2, itrig)
1587 7526364 : itrig = itrig + itt
1588 7526364 : cr4 = trig(1, itrig)
1589 7526364 : ci4 = trig(2, itrig)
1590 7526364 : itrig = itrig + itt
1591 7526364 : cr5 = trig(1, itrig)
1592 7526364 : ci5 = trig(2, itrig)
1593 7526364 : nin1 = ia - after
1594 7526364 : nout1 = ia - atn
1595 24133272 : DO ib = 1, before
1596 16606908 : nin1 = nin1 + after
1597 16606908 : nin2 = nin1 + atb
1598 16606908 : nin3 = nin2 + atb
1599 16606908 : nin4 = nin3 + atb
1600 16606908 : nin5 = nin4 + atb
1601 16606908 : nout1 = nout1 + atn
1602 16606908 : nout2 = nout1 + after
1603 16606908 : nout3 = nout2 + after
1604 16606908 : nout4 = nout3 + after
1605 16606908 : nout5 = nout4 + after
1606 350544234 : DO j = 1, nfft
1607 326410962 : r1 = zin(1, j, nin1)
1608 326410962 : s1 = zin(2, j, nin1)
1609 326410962 : r = zin(1, j, nin2)
1610 326410962 : s = zin(2, j, nin2)
1611 326410962 : r2 = r*cr2 - s*ci2
1612 326410962 : s2 = r*ci2 + s*cr2
1613 326410962 : r = zin(1, j, nin3)
1614 326410962 : s = zin(2, j, nin3)
1615 326410962 : r3 = r*cr3 - s*ci3
1616 326410962 : s3 = r*ci3 + s*cr3
1617 326410962 : r = zin(1, j, nin4)
1618 326410962 : s = zin(2, j, nin4)
1619 326410962 : r4 = r*cr4 - s*ci4
1620 326410962 : s4 = r*ci4 + s*cr4
1621 326410962 : r = zin(1, j, nin5)
1622 326410962 : s = zin(2, j, nin5)
1623 326410962 : r5 = r*cr5 - s*ci5
1624 326410962 : s5 = r*ci5 + s*cr5
1625 326410962 : r25 = r2 + r5
1626 326410962 : r34 = r3 + r4
1627 326410962 : s25 = s2 - s5
1628 326410962 : s34 = s3 - s4
1629 326410962 : zout(1, j, nout1) = r1 + r25 + r34
1630 326410962 : r = r1 + cos2*r25 + cos4*r34
1631 326410962 : s = sin2*s25 + sin4*s34
1632 326410962 : zout(1, j, nout2) = r - s
1633 326410962 : zout(1, j, nout5) = r + s
1634 326410962 : r = r1 + cos4*r25 + cos2*r34
1635 326410962 : s = sin4*s25 - sin2*s34
1636 326410962 : zout(1, j, nout3) = r - s
1637 326410962 : zout(1, j, nout4) = r + s
1638 326410962 : r25 = r2 - r5
1639 326410962 : r34 = r3 - r4
1640 326410962 : s25 = s2 + s5
1641 326410962 : s34 = s3 + s4
1642 326410962 : zout(2, j, nout1) = s1 + s25 + s34
1643 326410962 : r = s1 + cos2*s25 + cos4*s34
1644 326410962 : s = sin2*r25 + sin4*r34
1645 326410962 : zout(2, j, nout2) = r + s
1646 326410962 : zout(2, j, nout5) = r - s
1647 326410962 : r = s1 + cos4*s25 + cos2*s34
1648 326410962 : s = sin4*r25 - sin2*r34
1649 326410962 : zout(2, j, nout3) = r + s
1650 343017870 : zout(2, j, nout4) = r - s
1651 : END DO; END DO
1652 : END IF
1653 3359740 : 5000 CONTINUE
1654 : ELSE IF (now .EQ. 6) THEN
1655 : ! .5_dp*sqrt(3._dp)
1656 2819545 : bb = isign*0.8660254037844387_dp
1657 :
1658 2819545 : ia = 1
1659 2819545 : nin1 = ia - after
1660 2819545 : nout1 = ia - atn
1661 39006280 : DO ib = 1, before
1662 36186735 : nin1 = nin1 + after
1663 36186735 : nin2 = nin1 + atb
1664 36186735 : nin3 = nin2 + atb
1665 36186735 : nin4 = nin3 + atb
1666 36186735 : nin5 = nin4 + atb
1667 36186735 : nin6 = nin5 + atb
1668 36186735 : nout1 = nout1 + atn
1669 36186735 : nout2 = nout1 + after
1670 36186735 : nout3 = nout2 + after
1671 36186735 : nout4 = nout3 + after
1672 36186735 : nout5 = nout4 + after
1673 36186735 : nout6 = nout5 + after
1674 634426516 : DO j = 1, nfft
1675 595420236 : r2 = zin(1, j, nin3)
1676 595420236 : s2 = zin(2, j, nin3)
1677 595420236 : r3 = zin(1, j, nin5)
1678 595420236 : s3 = zin(2, j, nin5)
1679 595420236 : r = r2 + r3
1680 595420236 : s = s2 + s3
1681 595420236 : r1 = zin(1, j, nin1)
1682 595420236 : s1 = zin(2, j, nin1)
1683 595420236 : ur1 = r + r1
1684 595420236 : ui1 = s + s1
1685 595420236 : r1 = r1 - .5_dp*r
1686 595420236 : s1 = s1 - .5_dp*s
1687 595420236 : r = r2 - r3
1688 595420236 : s = s2 - s3
1689 595420236 : ur2 = r1 - s*bb
1690 595420236 : ui2 = s1 + r*bb
1691 595420236 : ur3 = r1 + s*bb
1692 595420236 : ui3 = s1 - r*bb
1693 :
1694 595420236 : r2 = zin(1, j, nin6)
1695 595420236 : s2 = zin(2, j, nin6)
1696 595420236 : r3 = zin(1, j, nin2)
1697 595420236 : s3 = zin(2, j, nin2)
1698 595420236 : r = r2 + r3
1699 595420236 : s = s2 + s3
1700 595420236 : r1 = zin(1, j, nin4)
1701 595420236 : s1 = zin(2, j, nin4)
1702 595420236 : vr1 = r + r1
1703 595420236 : vi1 = s + s1
1704 595420236 : r1 = r1 - .5_dp*r
1705 595420236 : s1 = s1 - .5_dp*s
1706 595420236 : r = r2 - r3
1707 595420236 : s = s2 - s3
1708 595420236 : vr2 = r1 - s*bb
1709 595420236 : vi2 = s1 + r*bb
1710 595420236 : vr3 = r1 + s*bb
1711 595420236 : vi3 = s1 - r*bb
1712 :
1713 595420236 : zout(1, j, nout1) = ur1 + vr1
1714 595420236 : zout(2, j, nout1) = ui1 + vi1
1715 595420236 : zout(1, j, nout5) = ur2 + vr2
1716 595420236 : zout(2, j, nout5) = ui2 + vi2
1717 595420236 : zout(1, j, nout3) = ur3 + vr3
1718 595420236 : zout(2, j, nout3) = ui3 + vi3
1719 595420236 : zout(1, j, nout4) = ur1 - vr1
1720 595420236 : zout(2, j, nout4) = ui1 - vi1
1721 595420236 : zout(1, j, nout2) = ur2 - vr2
1722 595420236 : zout(2, j, nout2) = ui2 - vi2
1723 595420236 : zout(1, j, nout6) = ur3 - vr3
1724 631606971 : zout(2, j, nout6) = ui3 - vi3
1725 : END DO; END DO
1726 : ELSE
1727 0 : CPABORT("error fftstp")
1728 : END IF
1729 :
1730 22972336 : END SUBROUTINE fftstp
1731 :
1732 : END MODULE ps_wavelet_fft3d
|
