| Julien Pommier | 370d209 | 2011-11-19 18:04:25 +0100 | [diff] [blame] | 1 | /* |
| 2 | compile with cc -DTESTING_FFTPACK fftpack.c in order to build the |
| 3 | test application. |
| 4 | |
| 5 | This is an f2c translation of the full fftpack sources as found on |
| 6 | http://www.netlib.org/fftpack/ The translated code has been |
| 7 | slightlty edited to remove the ugliest artefacts of the translation |
| 8 | (a hundred of wild GOTOs were wiped during that operation). |
| 9 | |
| 10 | The original fftpack file was written by Paul N. Swarztrauber |
| 11 | (Version 4, 1985), in fortran 77. |
| 12 | |
| 13 | FFTPACK license: |
| 14 | |
| 15 | http://www.cisl.ucar.edu/css/software/fftpack5/ftpk.html |
| 16 | |
| 17 | Copyright (c) 2004 the University Corporation for Atmospheric |
| 18 | Research ("UCAR"). All rights reserved. Developed by NCAR's |
| 19 | Computational and Information Systems Laboratory, UCAR, |
| 20 | www.cisl.ucar.edu. |
| 21 | |
| 22 | Redistribution and use of the Software in source and binary forms, |
| 23 | with or without modification, is permitted provided that the |
| 24 | following conditions are met: |
| 25 | |
| 26 | - Neither the names of NCAR's Computational and Information Systems |
| 27 | Laboratory, the University Corporation for Atmospheric Research, |
| 28 | nor the names of its sponsors or contributors may be used to |
| 29 | endorse or promote products derived from this Software without |
| 30 | specific prior written permission. |
| 31 | |
| 32 | - Redistributions of source code must retain the above copyright |
| 33 | notices, this list of conditions, and the disclaimer below. |
| 34 | |
| 35 | - Redistributions in binary form must reproduce the above copyright |
| 36 | notice, this list of conditions, and the disclaimer below in the |
| 37 | documentation and/or other materials provided with the |
| 38 | distribution. |
| 39 | |
| 40 | THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
| 41 | EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF |
| 42 | MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND |
| 43 | NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT |
| 44 | HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL, |
| 45 | EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN |
| 46 | ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN |
| 47 | CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE |
| 48 | SOFTWARE. |
| 49 | |
| 50 | ChangeLog: |
| 51 | 2011/10/02: this is my first release of this file. |
| 52 | */ |
| 53 | |
| 54 | #include "fftpack.h" |
| 55 | #include <math.h> |
| 56 | |
| 57 | typedef fftpack_real real; |
| 58 | typedef fftpack_int integer; |
| 59 | |
| 60 | typedef struct f77complex { |
| 61 | real r, i; |
| 62 | } f77complex; |
| 63 | |
| 64 | #ifdef TESTING_FFTPACK |
| 65 | static real c_abs(f77complex *c) { return sqrt(c->r*c->r + c->i*c->i); } |
| 66 | static double dmax(double a, double b) { return a < b ? b : a; } |
| 67 | #endif |
| 68 | |
| hayati ayguen | c974c1d | 2020-03-29 03:39:30 +0200 | [diff] [blame] | 69 | /* define own constants required to turn off g++ extensions .. */ |
| 70 | #ifndef M_PI |
| 71 | #define M_PI 3.14159265358979323846 /* pi */ |
| 72 | #endif |
| 73 | |
| 74 | #ifndef M_SQRT2 |
| 75 | #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ |
| 76 | #endif |
| 77 | |
| 78 | |
| Julien Pommier | 370d209 | 2011-11-19 18:04:25 +0100 | [diff] [blame] | 79 | /* translated by f2c (version 20061008), and slightly edited */ |
| 80 | |
| 81 | static void passfb(integer *nac, integer ido, integer ip, integer l1, integer idl1, |
| 82 | real *cc, real *c1, real *c2, real *ch, real *ch2, const real *wa, real fsign) |
| 83 | { |
| 84 | /* System generated locals */ |
| 85 | integer ch_offset, cc_offset, |
| 86 | c1_offset, c2_offset, ch2_offset; |
| 87 | |
| 88 | /* Local variables */ |
| Julien Pommier | 836bc4b | 2011-11-20 10:58:07 +0100 | [diff] [blame] | 89 | integer i, j, k, l, jc, lc, ik, idj, idl, inc, idp; |
| Julien Pommier | 370d209 | 2011-11-19 18:04:25 +0100 | [diff] [blame] | 90 | real wai, war; |
| 91 | integer ipp2, idij, idlj, idot, ipph; |
| 92 | |
| 93 | |
| 94 | #define c1_ref(a_1,a_2,a_3) c1[((a_3)*l1 + (a_2))*ido + a_1] |
| 95 | #define c2_ref(a_1,a_2) c2[(a_2)*idl1 + a_1] |
| 96 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*ip + (a_2))*ido + a_1] |
| 97 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 98 | #define ch2_ref(a_1,a_2) ch2[(a_2)*idl1 + a_1] |
| 99 | |
| 100 | /* Parameter adjustments */ |
| 101 | ch_offset = 1 + ido * (1 + l1); |
| 102 | ch -= ch_offset; |
| 103 | c1_offset = 1 + ido * (1 + l1); |
| 104 | c1 -= c1_offset; |
| 105 | cc_offset = 1 + ido * (1 + ip); |
| 106 | cc -= cc_offset; |
| 107 | ch2_offset = 1 + idl1; |
| 108 | ch2 -= ch2_offset; |
| 109 | c2_offset = 1 + idl1; |
| 110 | c2 -= c2_offset; |
| 111 | --wa; |
| 112 | |
| 113 | /* Function Body */ |
| 114 | idot = ido / 2; |
| Julien Pommier | 370d209 | 2011-11-19 18:04:25 +0100 | [diff] [blame] | 115 | ipp2 = ip + 2; |
| 116 | ipph = (ip + 1) / 2; |
| 117 | idp = ip * ido; |
| 118 | |
| 119 | if (ido >= l1) { |
| 120 | for (j = 2; j <= ipph; ++j) { |
| 121 | jc = ipp2 - j; |
| 122 | for (k = 1; k <= l1; ++k) { |
| 123 | for (i = 1; i <= ido; ++i) { |
| 124 | ch_ref(i, k, j) = cc_ref(i, j, k) + cc_ref(i, jc, k); |
| 125 | ch_ref(i, k, jc) = cc_ref(i, j, k) - cc_ref(i, jc, k); |
| 126 | } |
| 127 | } |
| 128 | } |
| 129 | for (k = 1; k <= l1; ++k) { |
| 130 | for (i = 1; i <= ido; ++i) { |
| 131 | ch_ref(i, k, 1) = cc_ref(i, 1, k); |
| 132 | } |
| 133 | } |
| 134 | } else { |
| 135 | for (j = 2; j <= ipph; ++j) { |
| 136 | jc = ipp2 - j; |
| 137 | for (i = 1; i <= ido; ++i) { |
| 138 | for (k = 1; k <= l1; ++k) { |
| 139 | ch_ref(i, k, j) = cc_ref(i, j, k) + cc_ref(i, jc, k); |
| 140 | ch_ref(i, k, jc) = cc_ref(i, j, k) - cc_ref(i, jc, k); |
| 141 | } |
| 142 | } |
| 143 | } |
| 144 | for (i = 1; i <= ido; ++i) { |
| 145 | for (k = 1; k <= l1; ++k) { |
| 146 | ch_ref(i, k, 1) = cc_ref(i, 1, k); |
| 147 | } |
| 148 | } |
| 149 | } |
| 150 | idl = 2 - ido; |
| 151 | inc = 0; |
| 152 | for (l = 2; l <= ipph; ++l) { |
| 153 | lc = ipp2 - l; |
| 154 | idl += ido; |
| 155 | for (ik = 1; ik <= idl1; ++ik) { |
| 156 | c2_ref(ik, l) = ch2_ref(ik, 1) + wa[idl - 1] * ch2_ref(ik, 2); |
| 157 | c2_ref(ik, lc) = fsign*wa[idl] * ch2_ref(ik, ip); |
| 158 | } |
| 159 | idlj = idl; |
| 160 | inc += ido; |
| 161 | for (j = 3; j <= ipph; ++j) { |
| 162 | jc = ipp2 - j; |
| 163 | idlj += inc; |
| 164 | if (idlj > idp) { |
| 165 | idlj -= idp; |
| 166 | } |
| 167 | war = wa[idlj - 1]; |
| 168 | wai = wa[idlj]; |
| 169 | for (ik = 1; ik <= idl1; ++ik) { |
| 170 | c2_ref(ik, l) = c2_ref(ik, l) + war * ch2_ref(ik, j); |
| 171 | c2_ref(ik, lc) = c2_ref(ik, lc) + fsign*wai * ch2_ref(ik, jc); |
| 172 | } |
| 173 | } |
| 174 | } |
| 175 | for (j = 2; j <= ipph; ++j) { |
| 176 | for (ik = 1; ik <= idl1; ++ik) { |
| 177 | ch2_ref(ik, 1) = ch2_ref(ik, 1) + ch2_ref(ik, j); |
| 178 | } |
| 179 | } |
| 180 | for (j = 2; j <= ipph; ++j) { |
| 181 | jc = ipp2 - j; |
| 182 | for (ik = 2; ik <= idl1; ik += 2) { |
| 183 | ch2_ref(ik - 1, j) = c2_ref(ik - 1, j) - c2_ref(ik, jc); |
| 184 | ch2_ref(ik - 1, jc) = c2_ref(ik - 1, j) + c2_ref(ik, jc); |
| 185 | ch2_ref(ik, j) = c2_ref(ik, j) + c2_ref(ik - 1, jc); |
| 186 | ch2_ref(ik, jc) = c2_ref(ik, j) - c2_ref(ik - 1, jc); |
| 187 | } |
| 188 | } |
| 189 | *nac = 1; |
| 190 | if (ido == 2) { |
| 191 | return; |
| 192 | } |
| 193 | *nac = 0; |
| 194 | for (ik = 1; ik <= idl1; ++ik) { |
| 195 | c2_ref(ik, 1) = ch2_ref(ik, 1); |
| 196 | } |
| 197 | for (j = 2; j <= ip; ++j) { |
| 198 | for (k = 1; k <= l1; ++k) { |
| 199 | c1_ref(1, k, j) = ch_ref(1, k, j); |
| 200 | c1_ref(2, k, j) = ch_ref(2, k, j); |
| 201 | } |
| 202 | } |
| 203 | if (idot <= l1) { |
| 204 | idij = 0; |
| 205 | for (j = 2; j <= ip; ++j) { |
| 206 | idij += 2; |
| 207 | for (i = 4; i <= ido; i += 2) { |
| 208 | idij += 2; |
| 209 | for (k = 1; k <= l1; ++k) { |
| 210 | c1_ref(i - 1, k, j) = wa[idij - 1] * ch_ref(i - 1, k, j) - fsign*wa[idij] * ch_ref(i, k, j); |
| 211 | c1_ref(i, k, j) = wa[idij - 1] * ch_ref(i, k, j) + fsign*wa[idij] * ch_ref(i - 1, k, j); |
| 212 | } |
| 213 | } |
| 214 | } |
| 215 | return; |
| 216 | } |
| 217 | idj = 2 - ido; |
| 218 | for (j = 2; j <= ip; ++j) { |
| 219 | idj += ido; |
| 220 | for (k = 1; k <= l1; ++k) { |
| 221 | idij = idj; |
| 222 | for (i = 4; i <= ido; i += 2) { |
| 223 | idij += 2; |
| 224 | c1_ref(i - 1, k, j) = wa[idij - 1] * ch_ref(i - 1, k, j) - fsign*wa[idij] * ch_ref(i, k, j); |
| 225 | c1_ref(i, k, j) = wa[idij - 1] * ch_ref(i, k, j) + fsign*wa[idij] * ch_ref(i - 1, k, j); |
| 226 | } |
| 227 | } |
| 228 | } |
| 229 | } /* passb */ |
| 230 | |
| 231 | #undef ch2_ref |
| 232 | #undef ch_ref |
| 233 | #undef cc_ref |
| 234 | #undef c2_ref |
| 235 | #undef c1_ref |
| 236 | |
| 237 | |
| 238 | static void passb2(integer ido, integer l1, const real *cc, real *ch, const real *wa1) |
| 239 | { |
| 240 | /* System generated locals */ |
| 241 | integer cc_offset, ch_offset; |
| 242 | |
| 243 | /* Local variables */ |
| 244 | integer i, k; |
| 245 | real ti2, tr2; |
| 246 | |
| 247 | |
| 248 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*2 + (a_2))*ido + a_1] |
| 249 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 250 | |
| 251 | /* Parameter adjustments */ |
| 252 | ch_offset = 1 + ido * (1 + l1); |
| 253 | ch -= ch_offset; |
| 254 | cc_offset = 1 + ido * 3; |
| 255 | cc -= cc_offset; |
| 256 | --wa1; |
| 257 | |
| 258 | /* Function Body */ |
| 259 | if (ido <= 2) { |
| 260 | for (k = 1; k <= l1; ++k) { |
| 261 | ch_ref(1, k, 1) = cc_ref(1, 1, k) + cc_ref(1, 2, k); |
| 262 | ch_ref(1, k, 2) = cc_ref(1, 1, k) - cc_ref(1, 2, k); |
| 263 | ch_ref(2, k, 1) = cc_ref(2, 1, k) + cc_ref(2, 2, k); |
| 264 | ch_ref(2, k, 2) = cc_ref(2, 1, k) - cc_ref(2, 2, k); |
| 265 | } |
| 266 | return; |
| 267 | } |
| 268 | for (k = 1; k <= l1; ++k) { |
| 269 | for (i = 2; i <= ido; i += 2) { |
| 270 | ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + cc_ref(i - 1, 2, k); |
| 271 | tr2 = cc_ref(i - 1, 1, k) - cc_ref(i - 1, 2, k); |
| 272 | ch_ref(i, k, 1) = cc_ref(i, 1, k) + cc_ref(i, 2, k); |
| 273 | ti2 = cc_ref(i, 1, k) - cc_ref(i, 2, k); |
| 274 | ch_ref(i, k, 2) = wa1[i - 1] * ti2 + wa1[i] * tr2; |
| 275 | ch_ref(i - 1, k, 2) = wa1[i - 1] * tr2 - wa1[i] * ti2; |
| 276 | } |
| 277 | } |
| 278 | } /* passb2 */ |
| 279 | |
| 280 | #undef ch_ref |
| 281 | #undef cc_ref |
| 282 | |
| 283 | |
| 284 | static void passb3(integer ido, integer l1, const real *cc, real *ch, const real *wa1, const real *wa2) |
| 285 | { |
| 286 | static const real taur = -.5f; |
| 287 | static const real taui = .866025403784439f; |
| 288 | |
| 289 | /* System generated locals */ |
| 290 | integer cc_offset, ch_offset; |
| 291 | |
| 292 | /* Local variables */ |
| 293 | integer i, k; |
| 294 | real ci2, ci3, di2, di3, cr2, cr3, dr2, dr3, ti2, tr2; |
| 295 | |
| 296 | |
| 297 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*3 + (a_2))*ido + a_1] |
| 298 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 299 | |
| 300 | /* Parameter adjustments */ |
| 301 | ch_offset = 1 + ido * (1 + l1); |
| 302 | ch -= ch_offset; |
| 303 | cc_offset = 1 + (ido << 2); |
| 304 | cc -= cc_offset; |
| 305 | --wa1; |
| 306 | --wa2; |
| 307 | |
| 308 | /* Function Body */ |
| 309 | if (ido == 2) { |
| 310 | for (k = 1; k <= l1; ++k) { |
| 311 | tr2 = cc_ref(1, 2, k) + cc_ref(1, 3, k); |
| 312 | cr2 = cc_ref(1, 1, k) + taur * tr2; |
| 313 | ch_ref(1, k, 1) = cc_ref(1, 1, k) + tr2; |
| 314 | ti2 = cc_ref(2, 2, k) + cc_ref(2, 3, k); |
| 315 | ci2 = cc_ref(2, 1, k) + taur * ti2; |
| 316 | ch_ref(2, k, 1) = cc_ref(2, 1, k) + ti2; |
| 317 | cr3 = taui * (cc_ref(1, 2, k) - cc_ref(1, 3, k)); |
| 318 | ci3 = taui * (cc_ref(2, 2, k) - cc_ref(2, 3, k)); |
| 319 | ch_ref(1, k, 2) = cr2 - ci3; |
| 320 | ch_ref(1, k, 3) = cr2 + ci3; |
| 321 | ch_ref(2, k, 2) = ci2 + cr3; |
| 322 | ch_ref(2, k, 3) = ci2 - cr3; |
| 323 | } |
| 324 | } else { |
| 325 | for (k = 1; k <= l1; ++k) { |
| 326 | for (i = 2; i <= ido; i += 2) { |
| 327 | tr2 = cc_ref(i - 1, 2, k) + cc_ref(i - 1, 3, k); |
| 328 | cr2 = cc_ref(i - 1, 1, k) + taur * tr2; |
| 329 | ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + tr2; |
| 330 | ti2 = cc_ref(i, 2, k) + cc_ref(i, 3, k); |
| 331 | ci2 = cc_ref(i, 1, k) + taur * ti2; |
| 332 | ch_ref(i, k, 1) = cc_ref(i, 1, k) + ti2; |
| 333 | cr3 = taui * (cc_ref(i - 1, 2, k) - cc_ref(i - 1, 3, k)); |
| 334 | ci3 = taui * (cc_ref(i, 2, k) - cc_ref(i, 3, k)); |
| 335 | dr2 = cr2 - ci3; |
| 336 | dr3 = cr2 + ci3; |
| 337 | di2 = ci2 + cr3; |
| 338 | di3 = ci2 - cr3; |
| 339 | ch_ref(i, k, 2) = wa1[i - 1] * di2 + wa1[i] * dr2; |
| 340 | ch_ref(i - 1, k, 2) = wa1[i - 1] * dr2 - wa1[i] * di2; |
| 341 | ch_ref(i, k, 3) = wa2[i - 1] * di3 + wa2[i] * dr3; |
| 342 | ch_ref(i - 1, k, 3) = wa2[i - 1] * dr3 - wa2[i] * di3; |
| 343 | } |
| 344 | } |
| 345 | } |
| 346 | } /* passb3 */ |
| 347 | |
| 348 | #undef ch_ref |
| 349 | #undef cc_ref |
| 350 | |
| 351 | |
| 352 | static void passb4(integer ido, integer l1, const real *cc, real *ch, |
| 353 | const real *wa1, const real *wa2, const real *wa3) |
| 354 | { |
| 355 | /* System generated locals */ |
| 356 | integer cc_offset, ch_offset; |
| 357 | |
| 358 | /* Local variables */ |
| 359 | integer i, k; |
| 360 | real ci2, ci3, ci4, cr2, cr3, cr4, ti1, ti2, ti3, ti4, tr1, tr2, tr3, tr4; |
| 361 | |
| 362 | |
| 363 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*4 + (a_2))*ido + a_1] |
| 364 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 365 | |
| 366 | /* Parameter adjustments */ |
| 367 | ch_offset = 1 + ido * (1 + l1); |
| 368 | ch -= ch_offset; |
| 369 | cc_offset = 1 + ido * 5; |
| 370 | cc -= cc_offset; |
| 371 | --wa1; |
| 372 | --wa2; |
| 373 | --wa3; |
| 374 | |
| 375 | /* Function Body */ |
| 376 | if (ido == 2) { |
| 377 | for (k = 1; k <= l1; ++k) { |
| 378 | ti1 = cc_ref(2, 1, k) - cc_ref(2, 3, k); |
| 379 | ti2 = cc_ref(2, 1, k) + cc_ref(2, 3, k); |
| 380 | tr4 = cc_ref(2, 4, k) - cc_ref(2, 2, k); |
| 381 | ti3 = cc_ref(2, 2, k) + cc_ref(2, 4, k); |
| 382 | tr1 = cc_ref(1, 1, k) - cc_ref(1, 3, k); |
| 383 | tr2 = cc_ref(1, 1, k) + cc_ref(1, 3, k); |
| 384 | ti4 = cc_ref(1, 2, k) - cc_ref(1, 4, k); |
| 385 | tr3 = cc_ref(1, 2, k) + cc_ref(1, 4, k); |
| 386 | ch_ref(1, k, 1) = tr2 + tr3; |
| 387 | ch_ref(1, k, 3) = tr2 - tr3; |
| 388 | ch_ref(2, k, 1) = ti2 + ti3; |
| 389 | ch_ref(2, k, 3) = ti2 - ti3; |
| 390 | ch_ref(1, k, 2) = tr1 + tr4; |
| 391 | ch_ref(1, k, 4) = tr1 - tr4; |
| 392 | ch_ref(2, k, 2) = ti1 + ti4; |
| 393 | ch_ref(2, k, 4) = ti1 - ti4; |
| 394 | } |
| 395 | } else { |
| 396 | for (k = 1; k <= l1; ++k) { |
| 397 | for (i = 2; i <= ido; i += 2) { |
| 398 | ti1 = cc_ref(i, 1, k) - cc_ref(i, 3, k); |
| 399 | ti2 = cc_ref(i, 1, k) + cc_ref(i, 3, k); |
| 400 | ti3 = cc_ref(i, 2, k) + cc_ref(i, 4, k); |
| 401 | tr4 = cc_ref(i, 4, k) - cc_ref(i, 2, k); |
| 402 | tr1 = cc_ref(i - 1, 1, k) - cc_ref(i - 1, 3, k); |
| 403 | tr2 = cc_ref(i - 1, 1, k) + cc_ref(i - 1, 3, k); |
| 404 | ti4 = cc_ref(i - 1, 2, k) - cc_ref(i - 1, 4, k); |
| 405 | tr3 = cc_ref(i - 1, 2, k) + cc_ref(i - 1, 4, k); |
| 406 | ch_ref(i - 1, k, 1) = tr2 + tr3; |
| 407 | cr3 = tr2 - tr3; |
| 408 | ch_ref(i, k, 1) = ti2 + ti3; |
| 409 | ci3 = ti2 - ti3; |
| 410 | cr2 = tr1 + tr4; |
| 411 | cr4 = tr1 - tr4; |
| 412 | ci2 = ti1 + ti4; |
| 413 | ci4 = ti1 - ti4; |
| 414 | ch_ref(i - 1, k, 2) = wa1[i - 1] * cr2 - wa1[i] * ci2; |
| 415 | ch_ref(i, k, 2) = wa1[i - 1] * ci2 + wa1[i] * cr2; |
| 416 | ch_ref(i - 1, k, 3) = wa2[i - 1] * cr3 - wa2[i] * ci3; |
| 417 | ch_ref(i, k, 3) = wa2[i - 1] * ci3 + wa2[i] * cr3; |
| 418 | ch_ref(i - 1, k, 4) = wa3[i - 1] * cr4 - wa3[i] * ci4; |
| 419 | ch_ref(i, k, 4) = wa3[i - 1] * ci4 + wa3[i] * cr4; |
| 420 | } |
| 421 | } |
| 422 | } |
| 423 | } /* passb4 */ |
| 424 | |
| 425 | #undef ch_ref |
| 426 | #undef cc_ref |
| 427 | |
| 428 | /* passf5 and passb5 merged */ |
| 429 | static void passfb5(integer ido, integer l1, const real *cc, real *ch, |
| 430 | const real *wa1, const real *wa2, const real *wa3, const real *wa4, real fsign) |
| 431 | { |
| 432 | const real tr11 = .309016994374947f; |
| 433 | const real ti11 = .951056516295154f*fsign; |
| 434 | const real tr12 = -.809016994374947f; |
| 435 | const real ti12 = .587785252292473f*fsign; |
| 436 | |
| 437 | /* System generated locals */ |
| 438 | integer cc_offset, ch_offset; |
| 439 | |
| 440 | /* Local variables */ |
| 441 | integer i, k; |
| 442 | real ci2, ci3, ci4, ci5, di3, di4, di5, di2, cr2, cr3, cr5, cr4, ti2, ti3, |
| 443 | ti4, ti5, dr3, dr4, dr5, dr2, tr2, tr3, tr4, tr5; |
| 444 | |
| 445 | |
| 446 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*5 + (a_2))*ido + a_1] |
| 447 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 448 | |
| 449 | /* Parameter adjustments */ |
| 450 | ch_offset = 1 + ido * (1 + l1); |
| 451 | ch -= ch_offset; |
| 452 | cc_offset = 1 + ido * 6; |
| 453 | cc -= cc_offset; |
| 454 | --wa1; |
| 455 | --wa2; |
| 456 | --wa3; |
| 457 | --wa4; |
| 458 | |
| 459 | /* Function Body */ |
| 460 | if (ido == 2) { |
| 461 | for (k = 1; k <= l1; ++k) { |
| 462 | ti5 = cc_ref(2, 2, k) - cc_ref(2, 5, k); |
| 463 | ti2 = cc_ref(2, 2, k) + cc_ref(2, 5, k); |
| 464 | ti4 = cc_ref(2, 3, k) - cc_ref(2, 4, k); |
| 465 | ti3 = cc_ref(2, 3, k) + cc_ref(2, 4, k); |
| 466 | tr5 = cc_ref(1, 2, k) - cc_ref(1, 5, k); |
| 467 | tr2 = cc_ref(1, 2, k) + cc_ref(1, 5, k); |
| 468 | tr4 = cc_ref(1, 3, k) - cc_ref(1, 4, k); |
| 469 | tr3 = cc_ref(1, 3, k) + cc_ref(1, 4, k); |
| 470 | ch_ref(1, k, 1) = cc_ref(1, 1, k) + tr2 + tr3; |
| 471 | ch_ref(2, k, 1) = cc_ref(2, 1, k) + ti2 + ti3; |
| 472 | cr2 = cc_ref(1, 1, k) + tr11 * tr2 + tr12 * tr3; |
| 473 | ci2 = cc_ref(2, 1, k) + tr11 * ti2 + tr12 * ti3; |
| 474 | cr3 = cc_ref(1, 1, k) + tr12 * tr2 + tr11 * tr3; |
| 475 | ci3 = cc_ref(2, 1, k) + tr12 * ti2 + tr11 * ti3; |
| 476 | cr5 = ti11 * tr5 + ti12 * tr4; |
| 477 | ci5 = ti11 * ti5 + ti12 * ti4; |
| 478 | cr4 = ti12 * tr5 - ti11 * tr4; |
| 479 | ci4 = ti12 * ti5 - ti11 * ti4; |
| 480 | ch_ref(1, k, 2) = cr2 - ci5; |
| 481 | ch_ref(1, k, 5) = cr2 + ci5; |
| 482 | ch_ref(2, k, 2) = ci2 + cr5; |
| 483 | ch_ref(2, k, 3) = ci3 + cr4; |
| 484 | ch_ref(1, k, 3) = cr3 - ci4; |
| 485 | ch_ref(1, k, 4) = cr3 + ci4; |
| 486 | ch_ref(2, k, 4) = ci3 - cr4; |
| 487 | ch_ref(2, k, 5) = ci2 - cr5; |
| 488 | } |
| 489 | } else { |
| 490 | for (k = 1; k <= l1; ++k) { |
| 491 | for (i = 2; i <= ido; i += 2) { |
| 492 | ti5 = cc_ref(i, 2, k) - cc_ref(i, 5, k); |
| 493 | ti2 = cc_ref(i, 2, k) + cc_ref(i, 5, k); |
| 494 | ti4 = cc_ref(i, 3, k) - cc_ref(i, 4, k); |
| 495 | ti3 = cc_ref(i, 3, k) + cc_ref(i, 4, k); |
| 496 | tr5 = cc_ref(i - 1, 2, k) - cc_ref(i - 1, 5, k); |
| 497 | tr2 = cc_ref(i - 1, 2, k) + cc_ref(i - 1, 5, k); |
| 498 | tr4 = cc_ref(i - 1, 3, k) - cc_ref(i - 1, 4, k); |
| 499 | tr3 = cc_ref(i - 1, 3, k) + cc_ref(i - 1, 4, k); |
| 500 | ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + tr2 + tr3; |
| 501 | ch_ref(i, k, 1) = cc_ref(i, 1, k) + ti2 + ti3; |
| 502 | cr2 = cc_ref(i - 1, 1, k) + tr11 * tr2 + tr12 * tr3; |
| 503 | ci2 = cc_ref(i, 1, k) + tr11 * ti2 + tr12 * ti3; |
| 504 | cr3 = cc_ref(i - 1, 1, k) + tr12 * tr2 + tr11 * tr3; |
| 505 | ci3 = cc_ref(i, 1, k) + tr12 * ti2 + tr11 * ti3; |
| 506 | cr5 = ti11 * tr5 + ti12 * tr4; |
| 507 | ci5 = ti11 * ti5 + ti12 * ti4; |
| 508 | cr4 = ti12 * tr5 - ti11 * tr4; |
| 509 | ci4 = ti12 * ti5 - ti11 * ti4; |
| 510 | dr3 = cr3 - ci4; |
| 511 | dr4 = cr3 + ci4; |
| 512 | di3 = ci3 + cr4; |
| 513 | di4 = ci3 - cr4; |
| 514 | dr5 = cr2 + ci5; |
| 515 | dr2 = cr2 - ci5; |
| 516 | di5 = ci2 - cr5; |
| 517 | di2 = ci2 + cr5; |
| 518 | ch_ref(i - 1, k, 2) = wa1[i - 1] * dr2 - fsign*wa1[i] * di2; |
| 519 | ch_ref(i, k, 2) = wa1[i - 1] * di2 + fsign*wa1[i] * dr2; |
| 520 | ch_ref(i - 1, k, 3) = wa2[i - 1] * dr3 - fsign*wa2[i] * di3; |
| 521 | ch_ref(i, k, 3) = wa2[i - 1] * di3 + fsign*wa2[i] * dr3; |
| 522 | ch_ref(i - 1, k, 4) = wa3[i - 1] * dr4 - fsign*wa3[i] * di4; |
| 523 | ch_ref(i, k, 4) = wa3[i - 1] * di4 + fsign*wa3[i] * dr4; |
| 524 | ch_ref(i - 1, k, 5) = wa4[i - 1] * dr5 - fsign*wa4[i] * di5; |
| 525 | ch_ref(i, k, 5) = wa4[i - 1] * di5 + fsign*wa4[i] * dr5; |
| 526 | } |
| 527 | } |
| 528 | } |
| 529 | } /* passb5 */ |
| 530 | |
| 531 | #undef ch_ref |
| 532 | #undef cc_ref |
| 533 | |
| 534 | static void passf2(integer ido, integer l1, const real *cc, real *ch, const real *wa1) |
| 535 | { |
| 536 | /* System generated locals */ |
| 537 | integer cc_offset, ch_offset; |
| 538 | |
| 539 | /* Local variables */ |
| 540 | integer i, k; |
| 541 | real ti2, tr2; |
| 542 | |
| 543 | |
| 544 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*2 + (a_2))*ido + a_1] |
| 545 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 546 | |
| 547 | /* Parameter adjustments */ |
| 548 | ch_offset = 1 + ido * (1 + l1); |
| 549 | ch -= ch_offset; |
| 550 | cc_offset = 1 + ido * 3; |
| 551 | cc -= cc_offset; |
| 552 | --wa1; |
| 553 | |
| 554 | /* Function Body */ |
| 555 | if (ido == 2) { |
| 556 | for (k = 1; k <= l1; ++k) { |
| 557 | ch_ref(1, k, 1) = cc_ref(1, 1, k) + cc_ref(1, 2, k); |
| 558 | ch_ref(1, k, 2) = cc_ref(1, 1, k) - cc_ref(1, 2, k); |
| 559 | ch_ref(2, k, 1) = cc_ref(2, 1, k) + cc_ref(2, 2, k); |
| 560 | ch_ref(2, k, 2) = cc_ref(2, 1, k) - cc_ref(2, 2, k); |
| 561 | } |
| 562 | } else { |
| 563 | for (k = 1; k <= l1; ++k) { |
| 564 | for (i = 2; i <= ido; i += 2) { |
| 565 | ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + cc_ref(i - 1, 2, |
| 566 | k); |
| 567 | tr2 = cc_ref(i - 1, 1, k) - cc_ref(i - 1, 2, k); |
| 568 | ch_ref(i, k, 1) = cc_ref(i, 1, k) + cc_ref(i, 2, k); |
| 569 | ti2 = cc_ref(i, 1, k) - cc_ref(i, 2, k); |
| 570 | ch_ref(i, k, 2) = wa1[i - 1] * ti2 - wa1[i] * tr2; |
| 571 | ch_ref(i - 1, k, 2) = wa1[i - 1] * tr2 + wa1[i] * ti2; |
| 572 | } |
| 573 | } |
| 574 | } |
| 575 | } /* passf2 */ |
| 576 | |
| 577 | #undef ch_ref |
| 578 | #undef cc_ref |
| 579 | |
| 580 | |
| 581 | static void passf3(integer ido, integer l1, const real *cc, real *ch, |
| 582 | const real *wa1, const real *wa2) |
| 583 | { |
| 584 | static const real taur = -.5f; |
| 585 | static const real taui = -.866025403784439f; |
| 586 | |
| 587 | /* System generated locals */ |
| 588 | integer cc_offset, ch_offset; |
| 589 | |
| 590 | /* Local variables */ |
| 591 | integer i, k; |
| 592 | real ci2, ci3, di2, di3, cr2, cr3, dr2, dr3, ti2, tr2; |
| 593 | |
| 594 | |
| 595 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*3 + (a_2))*ido + a_1] |
| 596 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 597 | |
| 598 | /* Parameter adjustments */ |
| 599 | ch_offset = 1 + ido * (1 + l1); |
| 600 | ch -= ch_offset; |
| 601 | cc_offset = 1 + (ido << 2); |
| 602 | cc -= cc_offset; |
| 603 | --wa1; |
| 604 | --wa2; |
| 605 | |
| 606 | /* Function Body */ |
| 607 | if (ido == 2) { |
| 608 | for (k = 1; k <= l1; ++k) { |
| 609 | tr2 = cc_ref(1, 2, k) + cc_ref(1, 3, k); |
| 610 | cr2 = cc_ref(1, 1, k) + taur * tr2; |
| 611 | ch_ref(1, k, 1) = cc_ref(1, 1, k) + tr2; |
| 612 | ti2 = cc_ref(2, 2, k) + cc_ref(2, 3, k); |
| 613 | ci2 = cc_ref(2, 1, k) + taur * ti2; |
| 614 | ch_ref(2, k, 1) = cc_ref(2, 1, k) + ti2; |
| 615 | cr3 = taui * (cc_ref(1, 2, k) - cc_ref(1, 3, k)); |
| 616 | ci3 = taui * (cc_ref(2, 2, k) - cc_ref(2, 3, k)); |
| 617 | ch_ref(1, k, 2) = cr2 - ci3; |
| 618 | ch_ref(1, k, 3) = cr2 + ci3; |
| 619 | ch_ref(2, k, 2) = ci2 + cr3; |
| 620 | ch_ref(2, k, 3) = ci2 - cr3; |
| 621 | } |
| 622 | } else { |
| 623 | for (k = 1; k <= l1; ++k) { |
| 624 | for (i = 2; i <= ido; i += 2) { |
| 625 | tr2 = cc_ref(i - 1, 2, k) + cc_ref(i - 1, 3, k); |
| 626 | cr2 = cc_ref(i - 1, 1, k) + taur * tr2; |
| 627 | ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + tr2; |
| 628 | ti2 = cc_ref(i, 2, k) + cc_ref(i, 3, k); |
| 629 | ci2 = cc_ref(i, 1, k) + taur * ti2; |
| 630 | ch_ref(i, k, 1) = cc_ref(i, 1, k) + ti2; |
| 631 | cr3 = taui * (cc_ref(i - 1, 2, k) - cc_ref(i - 1, 3, k)); |
| 632 | ci3 = taui * (cc_ref(i, 2, k) - cc_ref(i, 3, k)); |
| 633 | dr2 = cr2 - ci3; |
| 634 | dr3 = cr2 + ci3; |
| 635 | di2 = ci2 + cr3; |
| 636 | di3 = ci2 - cr3; |
| 637 | ch_ref(i, k, 2) = wa1[i - 1] * di2 - wa1[i] * dr2; |
| 638 | ch_ref(i - 1, k, 2) = wa1[i - 1] * dr2 + wa1[i] * di2; |
| 639 | ch_ref(i, k, 3) = wa2[i - 1] * di3 - wa2[i] * dr3; |
| 640 | ch_ref(i - 1, k, 3) = wa2[i - 1] * dr3 + wa2[i] * di3; |
| 641 | } |
| 642 | } |
| 643 | } |
| 644 | } /* passf3 */ |
| 645 | |
| 646 | #undef ch_ref |
| 647 | #undef cc_ref |
| 648 | |
| 649 | |
| 650 | static void passf4(integer ido, integer l1, const real *cc, real *ch, |
| 651 | const real *wa1, const real *wa2, const real *wa3) |
| 652 | { |
| 653 | /* System generated locals */ |
| 654 | integer cc_offset, ch_offset; |
| 655 | |
| 656 | /* Local variables */ |
| 657 | integer i, k; |
| 658 | real ci2, ci3, ci4, cr2, cr3, cr4, ti1, ti2, ti3, ti4, tr1, tr2, tr3, tr4; |
| 659 | |
| 660 | |
| 661 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*4 + (a_2))*ido + a_1] |
| 662 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 663 | |
| 664 | /* Parameter adjustments */ |
| 665 | ch_offset = 1 + ido * (1 + l1); |
| 666 | ch -= ch_offset; |
| 667 | cc_offset = 1 + ido * 5; |
| 668 | cc -= cc_offset; |
| 669 | --wa1; |
| 670 | --wa2; |
| 671 | --wa3; |
| 672 | |
| 673 | /* Function Body */ |
| 674 | if (ido == 2) { |
| 675 | for (k = 1; k <= l1; ++k) { |
| 676 | ti1 = cc_ref(2, 1, k) - cc_ref(2, 3, k); |
| 677 | ti2 = cc_ref(2, 1, k) + cc_ref(2, 3, k); |
| 678 | tr4 = cc_ref(2, 2, k) - cc_ref(2, 4, k); |
| 679 | ti3 = cc_ref(2, 2, k) + cc_ref(2, 4, k); |
| 680 | tr1 = cc_ref(1, 1, k) - cc_ref(1, 3, k); |
| 681 | tr2 = cc_ref(1, 1, k) + cc_ref(1, 3, k); |
| 682 | ti4 = cc_ref(1, 4, k) - cc_ref(1, 2, k); |
| 683 | tr3 = cc_ref(1, 2, k) + cc_ref(1, 4, k); |
| 684 | ch_ref(1, k, 1) = tr2 + tr3; |
| 685 | ch_ref(1, k, 3) = tr2 - tr3; |
| 686 | ch_ref(2, k, 1) = ti2 + ti3; |
| 687 | ch_ref(2, k, 3) = ti2 - ti3; |
| 688 | ch_ref(1, k, 2) = tr1 + tr4; |
| 689 | ch_ref(1, k, 4) = tr1 - tr4; |
| 690 | ch_ref(2, k, 2) = ti1 + ti4; |
| 691 | ch_ref(2, k, 4) = ti1 - ti4; |
| 692 | } |
| 693 | } else { |
| 694 | for (k = 1; k <= l1; ++k) { |
| 695 | for (i = 2; i <= ido; i += 2) { |
| 696 | ti1 = cc_ref(i, 1, k) - cc_ref(i, 3, k); |
| 697 | ti2 = cc_ref(i, 1, k) + cc_ref(i, 3, k); |
| 698 | ti3 = cc_ref(i, 2, k) + cc_ref(i, 4, k); |
| 699 | tr4 = cc_ref(i, 2, k) - cc_ref(i, 4, k); |
| 700 | tr1 = cc_ref(i - 1, 1, k) - cc_ref(i - 1, 3, k); |
| 701 | tr2 = cc_ref(i - 1, 1, k) + cc_ref(i - 1, 3, k); |
| 702 | ti4 = cc_ref(i - 1, 4, k) - cc_ref(i - 1, 2, k); |
| 703 | tr3 = cc_ref(i - 1, 2, k) + cc_ref(i - 1, 4, k); |
| 704 | ch_ref(i - 1, k, 1) = tr2 + tr3; |
| 705 | cr3 = tr2 - tr3; |
| 706 | ch_ref(i, k, 1) = ti2 + ti3; |
| 707 | ci3 = ti2 - ti3; |
| 708 | cr2 = tr1 + tr4; |
| 709 | cr4 = tr1 - tr4; |
| 710 | ci2 = ti1 + ti4; |
| 711 | ci4 = ti1 - ti4; |
| 712 | ch_ref(i - 1, k, 2) = wa1[i - 1] * cr2 + wa1[i] * ci2; |
| 713 | ch_ref(i, k, 2) = wa1[i - 1] * ci2 - wa1[i] * cr2; |
| 714 | ch_ref(i - 1, k, 3) = wa2[i - 1] * cr3 + wa2[i] * ci3; |
| 715 | ch_ref(i, k, 3) = wa2[i - 1] * ci3 - wa2[i] * cr3; |
| 716 | ch_ref(i - 1, k, 4) = wa3[i - 1] * cr4 + wa3[i] * ci4; |
| 717 | ch_ref(i, k, 4) = wa3[i - 1] * ci4 - wa3[i] * cr4; |
| 718 | } |
| 719 | } |
| 720 | } |
| 721 | } /* passf4 */ |
| 722 | |
| 723 | #undef ch_ref |
| 724 | #undef cc_ref |
| 725 | |
| 726 | static void radb2(integer ido, integer l1, const real *cc, real *ch, const real *wa1) |
| 727 | { |
| 728 | /* System generated locals */ |
| 729 | integer cc_offset, ch_offset; |
| 730 | |
| 731 | /* Local variables */ |
| 732 | integer i, k, ic; |
| 733 | real ti2, tr2; |
| 734 | integer idp2; |
| 735 | |
| 736 | |
| 737 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*2 + (a_2))*ido + a_1] |
| 738 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 739 | |
| 740 | /* Parameter adjustments */ |
| 741 | ch_offset = 1 + ido * (1 + l1); |
| 742 | ch -= ch_offset; |
| 743 | cc_offset = 1 + ido * 3; |
| 744 | cc -= cc_offset; |
| 745 | --wa1; |
| 746 | |
| 747 | /* Function Body */ |
| 748 | for (k = 1; k <= l1; ++k) { |
| 749 | ch_ref(1, k, 1) = cc_ref(1, 1, k) + cc_ref(ido, 2, k); |
| 750 | ch_ref(1, k, 2) = cc_ref(1, 1, k) - cc_ref(ido, 2, k); |
| 751 | } |
| 752 | if (ido < 2) return; |
| 753 | else if (ido != 2) { |
| 754 | idp2 = ido + 2; |
| 755 | for (k = 1; k <= l1; ++k) { |
| 756 | for (i = 3; i <= ido; i += 2) { |
| 757 | ic = idp2 - i; |
| 758 | ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + cc_ref(ic - 1, 2, |
| 759 | k); |
| 760 | tr2 = cc_ref(i - 1, 1, k) - cc_ref(ic - 1, 2, k); |
| 761 | ch_ref(i, k, 1) = cc_ref(i, 1, k) - cc_ref(ic, 2, k); |
| 762 | ti2 = cc_ref(i, 1, k) + cc_ref(ic, 2, k); |
| 763 | ch_ref(i - 1, k, 2) = wa1[i - 2] * tr2 - wa1[i - 1] * ti2; |
| 764 | ch_ref(i, k, 2) = wa1[i - 2] * ti2 + wa1[i - 1] * tr2; |
| 765 | } |
| 766 | } |
| 767 | if (ido % 2 == 1) return; |
| 768 | } |
| 769 | for (k = 1; k <= l1; ++k) { |
| 770 | ch_ref(ido, k, 1) = cc_ref(ido, 1, k) + cc_ref(ido, 1, k); |
| 771 | ch_ref(ido, k, 2) = -(cc_ref(1, 2, k) + cc_ref(1, 2, k)); |
| 772 | } |
| 773 | } /* radb2 */ |
| 774 | |
| 775 | #undef ch_ref |
| 776 | #undef cc_ref |
| 777 | |
| 778 | |
| 779 | static void radb3(integer ido, integer l1, const real *cc, real *ch, |
| 780 | const real *wa1, const real *wa2) |
| 781 | { |
| 782 | /* Initialized data */ |
| 783 | |
| 784 | static const real taur = -.5f; |
| 785 | static const real taui = .866025403784439f; |
| 786 | |
| 787 | /* System generated locals */ |
| 788 | integer cc_offset, ch_offset; |
| 789 | |
| 790 | /* Local variables */ |
| 791 | integer i, k, ic; |
| 792 | real ci2, ci3, di2, di3, cr2, cr3, dr2, dr3, ti2, tr2; |
| 793 | integer idp2; |
| 794 | |
| 795 | |
| 796 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*3 + (a_2))*ido + a_1] |
| 797 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 798 | |
| 799 | /* Parameter adjustments */ |
| 800 | ch_offset = 1 + ido * (1 + l1); |
| 801 | ch -= ch_offset; |
| 802 | cc_offset = 1 + (ido << 2); |
| 803 | cc -= cc_offset; |
| 804 | --wa1; |
| 805 | --wa2; |
| 806 | |
| 807 | /* Function Body */ |
| 808 | for (k = 1; k <= l1; ++k) { |
| 809 | tr2 = cc_ref(ido, 2, k) + cc_ref(ido, 2, k); |
| 810 | cr2 = cc_ref(1, 1, k) + taur * tr2; |
| 811 | ch_ref(1, k, 1) = cc_ref(1, 1, k) + tr2; |
| 812 | ci3 = taui * (cc_ref(1, 3, k) + cc_ref(1, 3, k)); |
| 813 | ch_ref(1, k, 2) = cr2 - ci3; |
| 814 | ch_ref(1, k, 3) = cr2 + ci3; |
| 815 | } |
| 816 | if (ido == 1) { |
| 817 | return; |
| 818 | } |
| 819 | idp2 = ido + 2; |
| 820 | for (k = 1; k <= l1; ++k) { |
| 821 | for (i = 3; i <= ido; i += 2) { |
| 822 | ic = idp2 - i; |
| 823 | tr2 = cc_ref(i - 1, 3, k) + cc_ref(ic - 1, 2, k); |
| 824 | cr2 = cc_ref(i - 1, 1, k) + taur * tr2; |
| 825 | ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + tr2; |
| 826 | ti2 = cc_ref(i, 3, k) - cc_ref(ic, 2, k); |
| 827 | ci2 = cc_ref(i, 1, k) + taur * ti2; |
| 828 | ch_ref(i, k, 1) = cc_ref(i, 1, k) + ti2; |
| 829 | cr3 = taui * (cc_ref(i - 1, 3, k) - cc_ref(ic - 1, 2, k)); |
| 830 | ci3 = taui * (cc_ref(i, 3, k) + cc_ref(ic, 2, k)); |
| 831 | dr2 = cr2 - ci3; |
| 832 | dr3 = cr2 + ci3; |
| 833 | di2 = ci2 + cr3; |
| 834 | di3 = ci2 - cr3; |
| 835 | ch_ref(i - 1, k, 2) = wa1[i - 2] * dr2 - wa1[i - 1] * di2; |
| 836 | ch_ref(i, k, 2) = wa1[i - 2] * di2 + wa1[i - 1] * dr2; |
| 837 | ch_ref(i - 1, k, 3) = wa2[i - 2] * dr3 - wa2[i - 1] * di3; |
| 838 | ch_ref(i, k, 3) = wa2[i - 2] * di3 + wa2[i - 1] * dr3; |
| 839 | } |
| 840 | } |
| 841 | } /* radb3 */ |
| 842 | |
| 843 | #undef ch_ref |
| 844 | #undef cc_ref |
| 845 | |
| 846 | |
| 847 | static void radb4(integer ido, integer l1, const real *cc, real *ch, |
| 848 | const real *wa1, const real *wa2, const real *wa3) |
| 849 | { |
| 850 | /* Initialized data */ |
| 851 | |
| 852 | static const real sqrt2 = 1.414213562373095f; |
| 853 | |
| 854 | /* System generated locals */ |
| 855 | integer cc_offset, ch_offset; |
| 856 | |
| 857 | /* Local variables */ |
| 858 | integer i, k, ic; |
| 859 | real ci2, ci3, ci4, cr2, cr3, cr4, ti1, ti2, ti3, ti4, tr1, tr2, tr3, tr4; |
| 860 | integer idp2; |
| 861 | |
| 862 | |
| 863 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*4 + (a_2))*ido + a_1] |
| 864 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 865 | |
| 866 | /* Parameter adjustments */ |
| 867 | ch_offset = 1 + ido * (1 + l1); |
| 868 | ch -= ch_offset; |
| 869 | cc_offset = 1 + ido * 5; |
| 870 | cc -= cc_offset; |
| 871 | --wa1; |
| 872 | --wa2; |
| 873 | --wa3; |
| 874 | |
| 875 | /* Function Body */ |
| 876 | for (k = 1; k <= l1; ++k) { |
| 877 | tr1 = cc_ref(1, 1, k) - cc_ref(ido, 4, k); |
| 878 | tr2 = cc_ref(1, 1, k) + cc_ref(ido, 4, k); |
| 879 | tr3 = cc_ref(ido, 2, k) + cc_ref(ido, 2, k); |
| 880 | tr4 = cc_ref(1, 3, k) + cc_ref(1, 3, k); |
| 881 | ch_ref(1, k, 1) = tr2 + tr3; |
| 882 | ch_ref(1, k, 2) = tr1 - tr4; |
| 883 | ch_ref(1, k, 3) = tr2 - tr3; |
| 884 | ch_ref(1, k, 4) = tr1 + tr4; |
| 885 | } |
| 886 | if (ido < 2) return; |
| 887 | if (ido != 2) { |
| 888 | idp2 = ido + 2; |
| 889 | for (k = 1; k <= l1; ++k) { |
| 890 | for (i = 3; i <= ido; i += 2) { |
| 891 | ic = idp2 - i; |
| 892 | ti1 = cc_ref(i, 1, k) + cc_ref(ic, 4, k); |
| 893 | ti2 = cc_ref(i, 1, k) - cc_ref(ic, 4, k); |
| 894 | ti3 = cc_ref(i, 3, k) - cc_ref(ic, 2, k); |
| 895 | tr4 = cc_ref(i, 3, k) + cc_ref(ic, 2, k); |
| 896 | tr1 = cc_ref(i - 1, 1, k) - cc_ref(ic - 1, 4, k); |
| 897 | tr2 = cc_ref(i - 1, 1, k) + cc_ref(ic - 1, 4, k); |
| 898 | ti4 = cc_ref(i - 1, 3, k) - cc_ref(ic - 1, 2, k); |
| 899 | tr3 = cc_ref(i - 1, 3, k) + cc_ref(ic - 1, 2, k); |
| 900 | ch_ref(i - 1, k, 1) = tr2 + tr3; |
| 901 | cr3 = tr2 - tr3; |
| 902 | ch_ref(i, k, 1) = ti2 + ti3; |
| 903 | ci3 = ti2 - ti3; |
| 904 | cr2 = tr1 - tr4; |
| 905 | cr4 = tr1 + tr4; |
| 906 | ci2 = ti1 + ti4; |
| 907 | ci4 = ti1 - ti4; |
| 908 | ch_ref(i - 1, k, 2) = wa1[i - 2] * cr2 - wa1[i - 1] * ci2; |
| 909 | ch_ref(i, k, 2) = wa1[i - 2] * ci2 + wa1[i - 1] * cr2; |
| 910 | ch_ref(i - 1, k, 3) = wa2[i - 2] * cr3 - wa2[i - 1] * ci3; |
| 911 | ch_ref(i, k, 3) = wa2[i - 2] * ci3 + wa2[i - 1] * cr3; |
| 912 | ch_ref(i - 1, k, 4) = wa3[i - 2] * cr4 - wa3[i - 1] * ci4; |
| 913 | ch_ref(i, k, 4) = wa3[i - 2] * ci4 + wa3[i - 1] * cr4; |
| 914 | } |
| 915 | } |
| 916 | if (ido % 2 == 1) return; |
| 917 | } |
| 918 | for (k = 1; k <= l1; ++k) { |
| 919 | ti1 = cc_ref(1, 2, k) + cc_ref(1, 4, k); |
| 920 | ti2 = cc_ref(1, 4, k) - cc_ref(1, 2, k); |
| 921 | tr1 = cc_ref(ido, 1, k) - cc_ref(ido, 3, k); |
| 922 | tr2 = cc_ref(ido, 1, k) + cc_ref(ido, 3, k); |
| 923 | ch_ref(ido, k, 1) = tr2 + tr2; |
| 924 | ch_ref(ido, k, 2) = sqrt2 * (tr1 - ti1); |
| 925 | ch_ref(ido, k, 3) = ti2 + ti2; |
| 926 | ch_ref(ido, k, 4) = -sqrt2 * (tr1 + ti1); |
| 927 | } |
| 928 | } /* radb4 */ |
| 929 | |
| 930 | #undef ch_ref |
| 931 | #undef cc_ref |
| 932 | |
| 933 | |
| 934 | static void radb5(integer ido, integer l1, const real *cc, real *ch, |
| 935 | const real *wa1, const real *wa2, const real *wa3, const real *wa4) |
| 936 | { |
| 937 | /* Initialized data */ |
| 938 | |
| 939 | static const real tr11 = .309016994374947f; |
| 940 | static const real ti11 = .951056516295154f; |
| 941 | static const real tr12 = -.809016994374947f; |
| 942 | static const real ti12 = .587785252292473f; |
| 943 | |
| 944 | /* System generated locals */ |
| 945 | integer cc_offset, ch_offset; |
| 946 | |
| 947 | /* Local variables */ |
| 948 | integer i, k, ic; |
| 949 | real ci2, ci3, ci4, ci5, di3, di4, di5, di2, cr2, cr3, cr5, cr4, ti2, ti3, |
| 950 | ti4, ti5, dr3, dr4, dr5, dr2, tr2, tr3, tr4, tr5; |
| 951 | integer idp2; |
| 952 | |
| 953 | |
| 954 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*5 + (a_2))*ido + a_1] |
| 955 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 956 | |
| 957 | /* Parameter adjustments */ |
| 958 | ch_offset = 1 + ido * (1 + l1); |
| 959 | ch -= ch_offset; |
| 960 | cc_offset = 1 + ido * 6; |
| 961 | cc -= cc_offset; |
| 962 | --wa1; |
| 963 | --wa2; |
| 964 | --wa3; |
| 965 | --wa4; |
| 966 | |
| 967 | /* Function Body */ |
| 968 | for (k = 1; k <= l1; ++k) { |
| 969 | ti5 = cc_ref(1, 3, k) + cc_ref(1, 3, k); |
| 970 | ti4 = cc_ref(1, 5, k) + cc_ref(1, 5, k); |
| 971 | tr2 = cc_ref(ido, 2, k) + cc_ref(ido, 2, k); |
| 972 | tr3 = cc_ref(ido, 4, k) + cc_ref(ido, 4, k); |
| 973 | ch_ref(1, k, 1) = cc_ref(1, 1, k) + tr2 + tr3; |
| 974 | cr2 = cc_ref(1, 1, k) + tr11 * tr2 + tr12 * tr3; |
| 975 | cr3 = cc_ref(1, 1, k) + tr12 * tr2 + tr11 * tr3; |
| 976 | ci5 = ti11 * ti5 + ti12 * ti4; |
| 977 | ci4 = ti12 * ti5 - ti11 * ti4; |
| 978 | ch_ref(1, k, 2) = cr2 - ci5; |
| 979 | ch_ref(1, k, 3) = cr3 - ci4; |
| 980 | ch_ref(1, k, 4) = cr3 + ci4; |
| 981 | ch_ref(1, k, 5) = cr2 + ci5; |
| 982 | } |
| 983 | if (ido == 1) { |
| 984 | return; |
| 985 | } |
| 986 | idp2 = ido + 2; |
| 987 | for (k = 1; k <= l1; ++k) { |
| 988 | for (i = 3; i <= ido; i += 2) { |
| 989 | ic = idp2 - i; |
| 990 | ti5 = cc_ref(i, 3, k) + cc_ref(ic, 2, k); |
| 991 | ti2 = cc_ref(i, 3, k) - cc_ref(ic, 2, k); |
| 992 | ti4 = cc_ref(i, 5, k) + cc_ref(ic, 4, k); |
| 993 | ti3 = cc_ref(i, 5, k) - cc_ref(ic, 4, k); |
| 994 | tr5 = cc_ref(i - 1, 3, k) - cc_ref(ic - 1, 2, k); |
| 995 | tr2 = cc_ref(i - 1, 3, k) + cc_ref(ic - 1, 2, k); |
| 996 | tr4 = cc_ref(i - 1, 5, k) - cc_ref(ic - 1, 4, k); |
| 997 | tr3 = cc_ref(i - 1, 5, k) + cc_ref(ic - 1, 4, k); |
| 998 | ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + tr2 + tr3; |
| 999 | ch_ref(i, k, 1) = cc_ref(i, 1, k) + ti2 + ti3; |
| 1000 | cr2 = cc_ref(i - 1, 1, k) + tr11 * tr2 + tr12 * tr3; |
| 1001 | ci2 = cc_ref(i, 1, k) + tr11 * ti2 + tr12 * ti3; |
| 1002 | cr3 = cc_ref(i - 1, 1, k) + tr12 * tr2 + tr11 * tr3; |
| 1003 | ci3 = cc_ref(i, 1, k) + tr12 * ti2 + tr11 * ti3; |
| 1004 | cr5 = ti11 * tr5 + ti12 * tr4; |
| 1005 | ci5 = ti11 * ti5 + ti12 * ti4; |
| 1006 | cr4 = ti12 * tr5 - ti11 * tr4; |
| 1007 | ci4 = ti12 * ti5 - ti11 * ti4; |
| 1008 | dr3 = cr3 - ci4; |
| 1009 | dr4 = cr3 + ci4; |
| 1010 | di3 = ci3 + cr4; |
| 1011 | di4 = ci3 - cr4; |
| 1012 | dr5 = cr2 + ci5; |
| 1013 | dr2 = cr2 - ci5; |
| 1014 | di5 = ci2 - cr5; |
| 1015 | di2 = ci2 + cr5; |
| 1016 | ch_ref(i - 1, k, 2) = wa1[i - 2] * dr2 - wa1[i - 1] * di2; |
| 1017 | ch_ref(i, k, 2) = wa1[i - 2] * di2 + wa1[i - 1] * dr2; |
| 1018 | ch_ref(i - 1, k, 3) = wa2[i - 2] * dr3 - wa2[i - 1] * di3; |
| 1019 | ch_ref(i, k, 3) = wa2[i - 2] * di3 + wa2[i - 1] * dr3; |
| 1020 | ch_ref(i - 1, k, 4) = wa3[i - 2] * dr4 - wa3[i - 1] * di4; |
| 1021 | ch_ref(i, k, 4) = wa3[i - 2] * di4 + wa3[i - 1] * dr4; |
| 1022 | ch_ref(i - 1, k, 5) = wa4[i - 2] * dr5 - wa4[i - 1] * di5; |
| 1023 | ch_ref(i, k, 5) = wa4[i - 2] * di5 + wa4[i - 1] * dr5; |
| 1024 | } |
| 1025 | } |
| 1026 | } /* radb5 */ |
| 1027 | |
| 1028 | #undef ch_ref |
| 1029 | #undef cc_ref |
| 1030 | |
| 1031 | |
| 1032 | static void radbg(integer ido, integer ip, integer l1, integer idl1, |
| 1033 | const real *cc, real *c1, real *c2, real *ch, real *ch2, const real *wa) |
| 1034 | { |
| 1035 | /* System generated locals */ |
| 1036 | integer ch_offset, cc_offset, |
| 1037 | c1_offset, c2_offset, ch2_offset; |
| 1038 | |
| 1039 | /* Local variables */ |
| 1040 | integer i, j, k, l, j2, ic, jc, lc, ik, is; |
| 1041 | real dc2, ai1, ai2, ar1, ar2, ds2; |
| 1042 | integer nbd; |
| 1043 | real dcp, arg, dsp, ar1h, ar2h; |
| 1044 | integer idp2, ipp2, idij, ipph; |
| 1045 | |
| 1046 | |
| 1047 | #define c1_ref(a_1,a_2,a_3) c1[((a_3)*l1 + (a_2))*ido + a_1] |
| 1048 | #define c2_ref(a_1,a_2) c2[(a_2)*idl1 + a_1] |
| 1049 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*ip + (a_2))*ido + a_1] |
| 1050 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 1051 | #define ch2_ref(a_1,a_2) ch2[(a_2)*idl1 + a_1] |
| 1052 | |
| 1053 | /* Parameter adjustments */ |
| 1054 | ch_offset = 1 + ido * (1 + l1); |
| 1055 | ch -= ch_offset; |
| 1056 | c1_offset = 1 + ido * (1 + l1); |
| 1057 | c1 -= c1_offset; |
| 1058 | cc_offset = 1 + ido * (1 + ip); |
| 1059 | cc -= cc_offset; |
| 1060 | ch2_offset = 1 + idl1; |
| 1061 | ch2 -= ch2_offset; |
| 1062 | c2_offset = 1 + idl1; |
| 1063 | c2 -= c2_offset; |
| 1064 | --wa; |
| 1065 | |
| 1066 | /* Function Body */ |
| 1067 | arg = (2*M_PI) / (real) (ip); |
| 1068 | dcp = cos(arg); |
| 1069 | dsp = sin(arg); |
| 1070 | idp2 = ido + 2; |
| 1071 | nbd = (ido - 1) / 2; |
| 1072 | ipp2 = ip + 2; |
| 1073 | ipph = (ip + 1) / 2; |
| 1074 | if (ido >= l1) { |
| 1075 | for (k = 1; k <= l1; ++k) { |
| 1076 | for (i = 1; i <= ido; ++i) { |
| 1077 | ch_ref(i, k, 1) = cc_ref(i, 1, k); |
| 1078 | } |
| 1079 | } |
| 1080 | } else { |
| 1081 | for (i = 1; i <= ido; ++i) { |
| 1082 | for (k = 1; k <= l1; ++k) { |
| 1083 | ch_ref(i, k, 1) = cc_ref(i, 1, k); |
| 1084 | } |
| 1085 | } |
| 1086 | } |
| 1087 | for (j = 2; j <= ipph; ++j) { |
| 1088 | jc = ipp2 - j; |
| 1089 | j2 = j + j; |
| 1090 | for (k = 1; k <= l1; ++k) { |
| 1091 | ch_ref(1, k, j) = cc_ref(ido, j2 - 2, k) + cc_ref(ido, j2 - 2, k); |
| 1092 | ch_ref(1, k, jc) = cc_ref(1, j2 - 1, k) + cc_ref(1, j2 - 1, k); |
| 1093 | } |
| 1094 | } |
| 1095 | if (ido != 1) { |
| 1096 | if (nbd >= l1) { |
| 1097 | for (j = 2; j <= ipph; ++j) { |
| 1098 | jc = ipp2 - j; |
| 1099 | for (k = 1; k <= l1; ++k) { |
| 1100 | for (i = 3; i <= ido; i += 2) { |
| 1101 | ic = idp2 - i; |
| 1102 | ch_ref(i - 1, k, j) = cc_ref(i - 1, (j << 1) - 1, k) + cc_ref(ic - 1, (j << 1) - 2, k); |
| 1103 | ch_ref(i - 1, k, jc) = cc_ref(i - 1, (j << 1) - 1, k) - cc_ref(ic - 1, (j << 1) - 2, k); |
| 1104 | ch_ref(i, k, j) = cc_ref(i, (j << 1) - 1, k) - cc_ref(ic, (j << 1) - 2, k); |
| 1105 | ch_ref(i, k, jc) = cc_ref(i, (j << 1) - 1, k) + cc_ref(ic, (j << 1) - 2, k); |
| 1106 | } |
| 1107 | } |
| 1108 | } |
| 1109 | } else { |
| 1110 | for (j = 2; j <= ipph; ++j) { |
| 1111 | jc = ipp2 - j; |
| 1112 | for (i = 3; i <= ido; i += 2) { |
| 1113 | ic = idp2 - i; |
| 1114 | for (k = 1; k <= l1; ++k) { |
| 1115 | ch_ref(i - 1, k, j) = cc_ref(i - 1, (j << 1) - 1, k) + cc_ref(ic - 1, (j << 1) - 2, k); |
| 1116 | ch_ref(i - 1, k, jc) = cc_ref(i - 1, (j << 1) - 1, k) - cc_ref(ic - 1, (j << 1) - 2, k); |
| 1117 | ch_ref(i, k, j) = cc_ref(i, (j << 1) - 1, k) - cc_ref(ic, (j << 1) - 2, k); |
| 1118 | ch_ref(i, k, jc) = cc_ref(i, (j << 1) - 1, k) + cc_ref(ic, (j << 1) - 2, k); |
| 1119 | } |
| 1120 | } |
| 1121 | } |
| 1122 | } |
| 1123 | } |
| 1124 | ar1 = 1.f; |
| 1125 | ai1 = 0.f; |
| 1126 | for (l = 2; l <= ipph; ++l) { |
| 1127 | lc = ipp2 - l; |
| 1128 | ar1h = dcp * ar1 - dsp * ai1; |
| 1129 | ai1 = dcp * ai1 + dsp * ar1; |
| 1130 | ar1 = ar1h; |
| 1131 | for (ik = 1; ik <= idl1; ++ik) { |
| 1132 | c2_ref(ik, l) = ch2_ref(ik, 1) + ar1 * ch2_ref(ik, 2); |
| 1133 | c2_ref(ik, lc) = ai1 * ch2_ref(ik, ip); |
| 1134 | } |
| 1135 | dc2 = ar1; |
| 1136 | ds2 = ai1; |
| 1137 | ar2 = ar1; |
| 1138 | ai2 = ai1; |
| 1139 | for (j = 3; j <= ipph; ++j) { |
| 1140 | jc = ipp2 - j; |
| 1141 | ar2h = dc2 * ar2 - ds2 * ai2; |
| 1142 | ai2 = dc2 * ai2 + ds2 * ar2; |
| 1143 | ar2 = ar2h; |
| 1144 | for (ik = 1; ik <= idl1; ++ik) { |
| 1145 | c2_ref(ik, l) = c2_ref(ik, l) + ar2 * ch2_ref(ik, j); |
| 1146 | c2_ref(ik, lc) = c2_ref(ik, lc) + ai2 * ch2_ref(ik, jc); |
| 1147 | } |
| 1148 | } |
| 1149 | } |
| 1150 | for (j = 2; j <= ipph; ++j) { |
| 1151 | for (ik = 1; ik <= idl1; ++ik) { |
| 1152 | ch2_ref(ik, 1) = ch2_ref(ik, 1) + ch2_ref(ik, j); |
| 1153 | } |
| 1154 | } |
| 1155 | for (j = 2; j <= ipph; ++j) { |
| 1156 | jc = ipp2 - j; |
| 1157 | for (k = 1; k <= l1; ++k) { |
| 1158 | ch_ref(1, k, j) = c1_ref(1, k, j) - c1_ref(1, k, jc); |
| 1159 | ch_ref(1, k, jc) = c1_ref(1, k, j) + c1_ref(1, k, jc); |
| 1160 | } |
| 1161 | } |
| 1162 | if (ido != 1) { |
| 1163 | if (nbd >= l1) { |
| 1164 | for (j = 2; j <= ipph; ++j) { |
| 1165 | jc = ipp2 - j; |
| 1166 | for (k = 1; k <= l1; ++k) { |
| 1167 | for (i = 3; i <= ido; i += 2) { |
| 1168 | ch_ref(i - 1, k, j) = c1_ref(i - 1, k, j) - c1_ref(i, k, jc); |
| 1169 | ch_ref(i - 1, k, jc) = c1_ref(i - 1, k, j) + c1_ref(i, k, jc); |
| 1170 | ch_ref(i, k, j) = c1_ref(i, k, j) + c1_ref(i - 1, k, jc); |
| 1171 | ch_ref(i, k, jc) = c1_ref(i, k, j) - c1_ref(i - 1, k, jc); |
| 1172 | } |
| 1173 | } |
| 1174 | } |
| 1175 | } else { |
| 1176 | for (j = 2; j <= ipph; ++j) { |
| 1177 | jc = ipp2 - j; |
| 1178 | for (i = 3; i <= ido; i += 2) { |
| 1179 | for (k = 1; k <= l1; ++k) { |
| 1180 | ch_ref(i - 1, k, j) = c1_ref(i - 1, k, j) - c1_ref(i, k, jc); |
| 1181 | ch_ref(i - 1, k, jc) = c1_ref(i - 1, k, j) + c1_ref(i, k, jc); |
| 1182 | ch_ref(i, k, j) = c1_ref(i, k, j) + c1_ref(i - 1, k, jc); |
| 1183 | ch_ref(i, k, jc) = c1_ref(i, k, j) - c1_ref(i - 1, k, jc); |
| 1184 | } |
| 1185 | } |
| 1186 | } |
| 1187 | } |
| 1188 | } |
| 1189 | if (ido == 1) { |
| 1190 | return; |
| 1191 | } |
| 1192 | for (ik = 1; ik <= idl1; ++ik) { |
| 1193 | c2_ref(ik, 1) = ch2_ref(ik, 1); |
| 1194 | } |
| 1195 | for (j = 2; j <= ip; ++j) { |
| 1196 | for (k = 1; k <= l1; ++k) { |
| 1197 | c1_ref(1, k, j) = ch_ref(1, k, j); |
| 1198 | } |
| 1199 | } |
| 1200 | if (nbd <= l1) { |
| 1201 | is = -(ido); |
| 1202 | for (j = 2; j <= ip; ++j) { |
| 1203 | is += ido; |
| 1204 | idij = is; |
| 1205 | for (i = 3; i <= ido; i += 2) { |
| 1206 | idij += 2; |
| 1207 | for (k = 1; k <= l1; ++k) { |
| 1208 | c1_ref(i - 1, k, j) = wa[idij - 1] * ch_ref(i - 1, k, j) |
| 1209 | - wa[idij] * ch_ref(i, k, j); |
| 1210 | c1_ref(i, k, j) = wa[idij - 1] * ch_ref(i, k, j) + wa[idij] * ch_ref(i - 1, k, j); |
| 1211 | } |
| 1212 | } |
| 1213 | } |
| 1214 | } else { |
| 1215 | is = -(ido); |
| 1216 | for (j = 2; j <= ip; ++j) { |
| 1217 | is += ido; |
| 1218 | for (k = 1; k <= l1; ++k) { |
| 1219 | idij = is; |
| 1220 | for (i = 3; i <= ido; i += 2) { |
| 1221 | idij += 2; |
| 1222 | c1_ref(i - 1, k, j) = wa[idij - 1] * ch_ref(i - 1, k, j) |
| 1223 | - wa[idij] * ch_ref(i, k, j); |
| 1224 | c1_ref(i, k, j) = wa[idij - 1] * ch_ref(i, k, j) + wa[idij] * ch_ref(i - 1, k, j); |
| 1225 | } |
| 1226 | } |
| 1227 | } |
| 1228 | } |
| 1229 | } /* radbg */ |
| 1230 | |
| 1231 | #undef ch2_ref |
| 1232 | #undef ch_ref |
| 1233 | #undef cc_ref |
| 1234 | #undef c2_ref |
| 1235 | #undef c1_ref |
| 1236 | |
| 1237 | |
| 1238 | static void radf2(integer ido, integer l1, const real *cc, real *ch, |
| 1239 | const real *wa1) |
| 1240 | { |
| 1241 | /* System generated locals */ |
| 1242 | integer ch_offset, cc_offset; |
| 1243 | |
| 1244 | /* Local variables */ |
| 1245 | integer i, k, ic; |
| 1246 | real ti2, tr2; |
| 1247 | integer idp2; |
| 1248 | |
| 1249 | |
| 1250 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*l1 + (a_2))*ido + a_1] |
| 1251 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*2 + (a_2))*ido + a_1] |
| 1252 | |
| 1253 | /* Parameter adjustments */ |
| 1254 | ch_offset = 1 + ido * 3; |
| 1255 | ch -= ch_offset; |
| 1256 | cc_offset = 1 + ido * (1 + l1); |
| 1257 | cc -= cc_offset; |
| 1258 | --wa1; |
| 1259 | |
| 1260 | /* Function Body */ |
| 1261 | for (k = 1; k <= l1; ++k) { |
| 1262 | ch_ref(1, 1, k) = cc_ref(1, k, 1) + cc_ref(1, k, 2); |
| 1263 | ch_ref(ido, 2, k) = cc_ref(1, k, 1) - cc_ref(1, k, 2); |
| 1264 | } |
| 1265 | if (ido < 2) return; |
| 1266 | if (ido != 2) { |
| 1267 | idp2 = ido + 2; |
| 1268 | for (k = 1; k <= l1; ++k) { |
| 1269 | for (i = 3; i <= ido; i += 2) { |
| 1270 | ic = idp2 - i; |
| 1271 | tr2 = wa1[i - 2] * cc_ref(i - 1, k, 2) + wa1[i - 1] * |
| 1272 | cc_ref(i, k, 2); |
| 1273 | ti2 = wa1[i - 2] * cc_ref(i, k, 2) - wa1[i - 1] * cc_ref( |
| 1274 | i - 1, k, 2); |
| 1275 | ch_ref(i, 1, k) = cc_ref(i, k, 1) + ti2; |
| 1276 | ch_ref(ic, 2, k) = ti2 - cc_ref(i, k, 1); |
| 1277 | ch_ref(i - 1, 1, k) = cc_ref(i - 1, k, 1) + tr2; |
| 1278 | ch_ref(ic - 1, 2, k) = cc_ref(i - 1, k, 1) - tr2; |
| 1279 | } |
| 1280 | } |
| 1281 | if (ido % 2 == 1) { |
| 1282 | return; |
| 1283 | } |
| 1284 | } |
| 1285 | for (k = 1; k <= l1; ++k) { |
| 1286 | ch_ref(1, 2, k) = -cc_ref(ido, k, 2); |
| 1287 | ch_ref(ido, 1, k) = cc_ref(ido, k, 1); |
| 1288 | } |
| 1289 | } /* radf2 */ |
| 1290 | |
| 1291 | #undef ch_ref |
| 1292 | #undef cc_ref |
| 1293 | |
| 1294 | |
| 1295 | static void radf3(integer ido, integer l1, const real *cc, real *ch, |
| 1296 | const real *wa1, const real *wa2) |
| 1297 | { |
| 1298 | static const real taur = -.5f; |
| 1299 | static const real taui = .866025403784439f; |
| 1300 | |
| 1301 | /* System generated locals */ |
| 1302 | integer ch_offset, cc_offset; |
| 1303 | |
| 1304 | /* Local variables */ |
| 1305 | integer i, k, ic; |
| 1306 | real ci2, di2, di3, cr2, dr2, dr3, ti2, ti3, tr2, tr3; |
| 1307 | integer idp2; |
| 1308 | |
| 1309 | |
| 1310 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*l1 + (a_2))*ido + a_1] |
| 1311 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*3 + (a_2))*ido + a_1] |
| 1312 | |
| 1313 | /* Parameter adjustments */ |
| 1314 | ch_offset = 1 + (ido << 2); |
| 1315 | ch -= ch_offset; |
| 1316 | cc_offset = 1 + ido * (1 + l1); |
| 1317 | cc -= cc_offset; |
| 1318 | --wa1; |
| 1319 | --wa2; |
| 1320 | |
| 1321 | /* Function Body */ |
| 1322 | for (k = 1; k <= l1; ++k) { |
| 1323 | cr2 = cc_ref(1, k, 2) + cc_ref(1, k, 3); |
| 1324 | ch_ref(1, 1, k) = cc_ref(1, k, 1) + cr2; |
| 1325 | ch_ref(1, 3, k) = taui * (cc_ref(1, k, 3) - cc_ref(1, k, 2)); |
| 1326 | ch_ref(ido, 2, k) = cc_ref(1, k, 1) + taur * cr2; |
| 1327 | } |
| 1328 | if (ido == 1) { |
| 1329 | return; |
| 1330 | } |
| 1331 | idp2 = ido + 2; |
| 1332 | for (k = 1; k <= l1; ++k) { |
| 1333 | for (i = 3; i <= ido; i += 2) { |
| 1334 | ic = idp2 - i; |
| 1335 | dr2 = wa1[i - 2] * cc_ref(i - 1, k, 2) + wa1[i - 1] * |
| 1336 | cc_ref(i, k, 2); |
| 1337 | di2 = wa1[i - 2] * cc_ref(i, k, 2) - wa1[i - 1] * cc_ref( |
| 1338 | i - 1, k, 2); |
| 1339 | dr3 = wa2[i - 2] * cc_ref(i - 1, k, 3) + wa2[i - 1] * |
| 1340 | cc_ref(i, k, 3); |
| 1341 | di3 = wa2[i - 2] * cc_ref(i, k, 3) - wa2[i - 1] * cc_ref( |
| 1342 | i - 1, k, 3); |
| 1343 | cr2 = dr2 + dr3; |
| 1344 | ci2 = di2 + di3; |
| 1345 | ch_ref(i - 1, 1, k) = cc_ref(i - 1, k, 1) + cr2; |
| 1346 | ch_ref(i, 1, k) = cc_ref(i, k, 1) + ci2; |
| 1347 | tr2 = cc_ref(i - 1, k, 1) + taur * cr2; |
| 1348 | ti2 = cc_ref(i, k, 1) + taur * ci2; |
| 1349 | tr3 = taui * (di2 - di3); |
| 1350 | ti3 = taui * (dr3 - dr2); |
| 1351 | ch_ref(i - 1, 3, k) = tr2 + tr3; |
| 1352 | ch_ref(ic - 1, 2, k) = tr2 - tr3; |
| 1353 | ch_ref(i, 3, k) = ti2 + ti3; |
| 1354 | ch_ref(ic, 2, k) = ti3 - ti2; |
| 1355 | } |
| 1356 | } |
| 1357 | } /* radf3 */ |
| 1358 | |
| 1359 | #undef ch_ref |
| 1360 | #undef cc_ref |
| 1361 | |
| 1362 | |
| 1363 | static void radf4(integer ido, integer l1, const real *cc, real *ch, |
| 1364 | const real *wa1, const real *wa2, const real *wa3) |
| 1365 | { |
| 1366 | /* Initialized data */ |
| 1367 | |
| 1368 | static const real hsqt2 = .7071067811865475f; |
| 1369 | |
| 1370 | /* System generated locals */ |
| 1371 | integer cc_offset, ch_offset; |
| 1372 | |
| 1373 | /* Local variables */ |
| 1374 | integer i, k, ic; |
| 1375 | real ci2, ci3, ci4, cr2, cr3, cr4, ti1, ti2, ti3, ti4, tr1, tr2, tr3, tr4; |
| 1376 | integer idp2; |
| 1377 | |
| 1378 | |
| 1379 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*l1 + (a_2))*ido + a_1] |
| 1380 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*4 + (a_2))*ido + a_1] |
| 1381 | |
| 1382 | /* Parameter adjustments */ |
| 1383 | ch_offset = 1 + ido * 5; |
| 1384 | ch -= ch_offset; |
| 1385 | cc_offset = 1 + ido * (1 + l1); |
| 1386 | cc -= cc_offset; |
| 1387 | --wa1; |
| 1388 | --wa2; |
| 1389 | --wa3; |
| 1390 | |
| 1391 | /* Function Body */ |
| 1392 | for (k = 1; k <= l1; ++k) { |
| 1393 | tr1 = cc_ref(1, k, 2) + cc_ref(1, k, 4); |
| 1394 | tr2 = cc_ref(1, k, 1) + cc_ref(1, k, 3); |
| 1395 | ch_ref(1, 1, k) = tr1 + tr2; |
| 1396 | ch_ref(ido, 4, k) = tr2 - tr1; |
| 1397 | ch_ref(ido, 2, k) = cc_ref(1, k, 1) - cc_ref(1, k, 3); |
| 1398 | ch_ref(1, 3, k) = cc_ref(1, k, 4) - cc_ref(1, k, 2); |
| 1399 | } |
| 1400 | if (ido < 2) return; |
| 1401 | if (ido != 2) { |
| 1402 | idp2 = ido + 2; |
| 1403 | for (k = 1; k <= l1; ++k) { |
| 1404 | for (i = 3; i <= ido; i += 2) { |
| 1405 | ic = idp2 - i; |
| 1406 | cr2 = wa1[i - 2] * cc_ref(i - 1, k, 2) + wa1[i - 1] * |
| 1407 | cc_ref(i, k, 2); |
| 1408 | ci2 = wa1[i - 2] * cc_ref(i, k, 2) - wa1[i - 1] * cc_ref( |
| 1409 | i - 1, k, 2); |
| 1410 | cr3 = wa2[i - 2] * cc_ref(i - 1, k, 3) + wa2[i - 1] * |
| 1411 | cc_ref(i, k, 3); |
| 1412 | ci3 = wa2[i - 2] * cc_ref(i, k, 3) - wa2[i - 1] * cc_ref( |
| 1413 | i - 1, k, 3); |
| 1414 | cr4 = wa3[i - 2] * cc_ref(i - 1, k, 4) + wa3[i - 1] * |
| 1415 | cc_ref(i, k, 4); |
| 1416 | ci4 = wa3[i - 2] * cc_ref(i, k, 4) - wa3[i - 1] * cc_ref( |
| 1417 | i - 1, k, 4); |
| 1418 | tr1 = cr2 + cr4; |
| 1419 | tr4 = cr4 - cr2; |
| 1420 | ti1 = ci2 + ci4; |
| 1421 | ti4 = ci2 - ci4; |
| 1422 | ti2 = cc_ref(i, k, 1) + ci3; |
| 1423 | ti3 = cc_ref(i, k, 1) - ci3; |
| 1424 | tr2 = cc_ref(i - 1, k, 1) + cr3; |
| 1425 | tr3 = cc_ref(i - 1, k, 1) - cr3; |
| 1426 | ch_ref(i - 1, 1, k) = tr1 + tr2; |
| 1427 | ch_ref(ic - 1, 4, k) = tr2 - tr1; |
| 1428 | ch_ref(i, 1, k) = ti1 + ti2; |
| 1429 | ch_ref(ic, 4, k) = ti1 - ti2; |
| 1430 | ch_ref(i - 1, 3, k) = ti4 + tr3; |
| 1431 | ch_ref(ic - 1, 2, k) = tr3 - ti4; |
| 1432 | ch_ref(i, 3, k) = tr4 + ti3; |
| 1433 | ch_ref(ic, 2, k) = tr4 - ti3; |
| 1434 | } |
| 1435 | } |
| 1436 | if (ido % 2 == 1) { |
| 1437 | return; |
| 1438 | } |
| 1439 | } |
| 1440 | for (k = 1; k <= l1; ++k) { |
| 1441 | ti1 = -hsqt2 * (cc_ref(ido, k, 2) + cc_ref(ido, k, 4)); |
| 1442 | tr1 = hsqt2 * (cc_ref(ido, k, 2) - cc_ref(ido, k, 4)); |
| 1443 | ch_ref(ido, 1, k) = tr1 + cc_ref(ido, k, 1); |
| 1444 | ch_ref(ido, 3, k) = cc_ref(ido, k, 1) - tr1; |
| 1445 | ch_ref(1, 2, k) = ti1 - cc_ref(ido, k, 3); |
| 1446 | ch_ref(1, 4, k) = ti1 + cc_ref(ido, k, 3); |
| 1447 | } |
| 1448 | } /* radf4 */ |
| 1449 | |
| 1450 | #undef ch_ref |
| 1451 | #undef cc_ref |
| 1452 | |
| 1453 | |
| 1454 | static void radf5(integer ido, integer l1, const real *cc, real *ch, |
| 1455 | const real *wa1, const real *wa2, const real *wa3, const real *wa4) |
| 1456 | { |
| 1457 | /* Initialized data */ |
| 1458 | |
| 1459 | static const real tr11 = .309016994374947f; |
| 1460 | static const real ti11 = .951056516295154f; |
| 1461 | static const real tr12 = -.809016994374947f; |
| 1462 | static const real ti12 = .587785252292473f; |
| 1463 | |
| 1464 | /* System generated locals */ |
| 1465 | integer cc_offset, ch_offset; |
| 1466 | |
| 1467 | /* Local variables */ |
| 1468 | integer i, k, ic; |
| 1469 | real ci2, di2, ci4, ci5, di3, di4, di5, ci3, cr2, cr3, dr2, dr3, dr4, dr5, |
| 1470 | cr5, cr4, ti2, ti3, ti5, ti4, tr2, tr3, tr4, tr5; |
| 1471 | integer idp2; |
| 1472 | |
| 1473 | |
| 1474 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*l1 + (a_2))*ido + a_1] |
| 1475 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*5 + (a_2))*ido + a_1] |
| 1476 | |
| 1477 | /* Parameter adjustments */ |
| 1478 | ch_offset = 1 + ido * 6; |
| 1479 | ch -= ch_offset; |
| 1480 | cc_offset = 1 + ido * (1 + l1); |
| 1481 | cc -= cc_offset; |
| 1482 | --wa1; |
| 1483 | --wa2; |
| 1484 | --wa3; |
| 1485 | --wa4; |
| 1486 | |
| 1487 | /* Function Body */ |
| 1488 | for (k = 1; k <= l1; ++k) { |
| 1489 | cr2 = cc_ref(1, k, 5) + cc_ref(1, k, 2); |
| 1490 | ci5 = cc_ref(1, k, 5) - cc_ref(1, k, 2); |
| 1491 | cr3 = cc_ref(1, k, 4) + cc_ref(1, k, 3); |
| 1492 | ci4 = cc_ref(1, k, 4) - cc_ref(1, k, 3); |
| 1493 | ch_ref(1, 1, k) = cc_ref(1, k, 1) + cr2 + cr3; |
| 1494 | ch_ref(ido, 2, k) = cc_ref(1, k, 1) + tr11 * cr2 + tr12 * cr3; |
| 1495 | ch_ref(1, 3, k) = ti11 * ci5 + ti12 * ci4; |
| 1496 | ch_ref(ido, 4, k) = cc_ref(1, k, 1) + tr12 * cr2 + tr11 * cr3; |
| 1497 | ch_ref(1, 5, k) = ti12 * ci5 - ti11 * ci4; |
| 1498 | } |
| 1499 | if (ido == 1) { |
| 1500 | return; |
| 1501 | } |
| 1502 | idp2 = ido + 2; |
| 1503 | for (k = 1; k <= l1; ++k) { |
| 1504 | for (i = 3; i <= ido; i += 2) { |
| 1505 | ic = idp2 - i; |
| Julien Pommier | 432b3e8 | 2013-01-12 19:28:03 +0100 | [diff] [blame] | 1506 | dr2 = wa1[i - 2] * cc_ref(i - 1, k, 2) + wa1[i - 1] * cc_ref(i, k, 2); |
| 1507 | di2 = wa1[i - 2] * cc_ref(i, k, 2) - wa1[i - 1] * cc_ref(i - 1, k, 2); |
| 1508 | dr3 = wa2[i - 2] * cc_ref(i - 1, k, 3) + wa2[i - 1] * cc_ref(i, k, 3); |
| 1509 | di3 = wa2[i - 2] * cc_ref(i, k, 3) - wa2[i - 1] * cc_ref(i - 1, k, 3); |
| 1510 | dr4 = wa3[i - 2] * cc_ref(i - 1, k, 4) + wa3[i - 1] * cc_ref(i, k, 4); |
| 1511 | di4 = wa3[i - 2] * cc_ref(i, k, 4) - wa3[i - 1] * cc_ref(i - 1, k, 4); |
| 1512 | dr5 = wa4[i - 2] * cc_ref(i - 1, k, 5) + wa4[i - 1] * cc_ref(i, k, 5); |
| 1513 | di5 = wa4[i - 2] * cc_ref(i, k, 5) - wa4[i - 1] * cc_ref(i - 1, k, 5); |
| Julien Pommier | 370d209 | 2011-11-19 18:04:25 +0100 | [diff] [blame] | 1514 | cr2 = dr2 + dr5; |
| 1515 | ci5 = dr5 - dr2; |
| 1516 | cr5 = di2 - di5; |
| 1517 | ci2 = di2 + di5; |
| 1518 | cr3 = dr3 + dr4; |
| 1519 | ci4 = dr4 - dr3; |
| 1520 | cr4 = di3 - di4; |
| 1521 | ci3 = di3 + di4; |
| 1522 | ch_ref(i - 1, 1, k) = cc_ref(i - 1, k, 1) + cr2 + cr3; |
| 1523 | ch_ref(i, 1, k) = cc_ref(i, k, 1) + ci2 + ci3; |
| 1524 | tr2 = cc_ref(i - 1, k, 1) + tr11 * cr2 + tr12 * cr3; |
| 1525 | ti2 = cc_ref(i, k, 1) + tr11 * ci2 + tr12 * ci3; |
| 1526 | tr3 = cc_ref(i - 1, k, 1) + tr12 * cr2 + tr11 * cr3; |
| 1527 | ti3 = cc_ref(i, k, 1) + tr12 * ci2 + tr11 * ci3; |
| 1528 | tr5 = ti11 * cr5 + ti12 * cr4; |
| 1529 | ti5 = ti11 * ci5 + ti12 * ci4; |
| 1530 | tr4 = ti12 * cr5 - ti11 * cr4; |
| 1531 | ti4 = ti12 * ci5 - ti11 * ci4; |
| 1532 | ch_ref(i - 1, 3, k) = tr2 + tr5; |
| 1533 | ch_ref(ic - 1, 2, k) = tr2 - tr5; |
| 1534 | ch_ref(i, 3, k) = ti2 + ti5; |
| 1535 | ch_ref(ic, 2, k) = ti5 - ti2; |
| 1536 | ch_ref(i - 1, 5, k) = tr3 + tr4; |
| 1537 | ch_ref(ic - 1, 4, k) = tr3 - tr4; |
| 1538 | ch_ref(i, 5, k) = ti3 + ti4; |
| 1539 | ch_ref(ic, 4, k) = ti4 - ti3; |
| 1540 | } |
| 1541 | } |
| 1542 | } /* radf5 */ |
| 1543 | |
| 1544 | #undef ch_ref |
| 1545 | #undef cc_ref |
| 1546 | |
| 1547 | |
| 1548 | static void radfg(integer ido, integer ip, integer l1, integer idl1, |
| 1549 | real *cc, real *c1, real *c2, real *ch, real *ch2, const real *wa) |
| 1550 | { |
| 1551 | /* System generated locals */ |
| 1552 | integer ch_offset, cc_offset, |
| 1553 | c1_offset, c2_offset, ch2_offset; |
| 1554 | |
| 1555 | /* Local variables */ |
| 1556 | integer i, j, k, l, j2, ic, jc, lc, ik, is; |
| 1557 | real dc2, ai1, ai2, ar1, ar2, ds2; |
| 1558 | integer nbd; |
| 1559 | real dcp, arg, dsp, ar1h, ar2h; |
| 1560 | integer idp2, ipp2, idij, ipph; |
| 1561 | |
| 1562 | |
| 1563 | #define c1_ref(a_1,a_2,a_3) c1[((a_3)*l1 + (a_2))*ido + a_1] |
| 1564 | #define c2_ref(a_1,a_2) c2[(a_2)*idl1 + a_1] |
| 1565 | #define cc_ref(a_1,a_2,a_3) cc[((a_3)*ip + (a_2))*ido + a_1] |
| 1566 | #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] |
| 1567 | #define ch2_ref(a_1,a_2) ch2[(a_2)*idl1 + a_1] |
| 1568 | |
| 1569 | /* Parameter adjustments */ |
| 1570 | ch_offset = 1 + ido * (1 + l1); |
| 1571 | ch -= ch_offset; |
| 1572 | c1_offset = 1 + ido * (1 + l1); |
| 1573 | c1 -= c1_offset; |
| 1574 | cc_offset = 1 + ido * (1 + ip); |
| 1575 | cc -= cc_offset; |
| 1576 | ch2_offset = 1 + idl1; |
| 1577 | ch2 -= ch2_offset; |
| 1578 | c2_offset = 1 + idl1; |
| 1579 | c2 -= c2_offset; |
| 1580 | --wa; |
| 1581 | |
| 1582 | /* Function Body */ |
| 1583 | arg = (2*M_PI) / (real) (ip); |
| 1584 | dcp = cos(arg); |
| 1585 | dsp = sin(arg); |
| 1586 | ipph = (ip + 1) / 2; |
| 1587 | ipp2 = ip + 2; |
| 1588 | idp2 = ido + 2; |
| 1589 | nbd = (ido - 1) / 2; |
| 1590 | if (ido == 1) { |
| 1591 | for (ik = 1; ik <= idl1; ++ik) { |
| 1592 | c2_ref(ik, 1) = ch2_ref(ik, 1); |
| 1593 | } |
| 1594 | } else { |
| 1595 | for (ik = 1; ik <= idl1; ++ik) { |
| 1596 | ch2_ref(ik, 1) = c2_ref(ik, 1); |
| 1597 | } |
| 1598 | for (j = 2; j <= ip; ++j) { |
| 1599 | for (k = 1; k <= l1; ++k) { |
| 1600 | ch_ref(1, k, j) = c1_ref(1, k, j); |
| 1601 | } |
| 1602 | } |
| 1603 | if (nbd <= l1) { |
| 1604 | is = -(ido); |
| 1605 | for (j = 2; j <= ip; ++j) { |
| 1606 | is += ido; |
| 1607 | idij = is; |
| 1608 | for (i = 3; i <= ido; i += 2) { |
| 1609 | idij += 2; |
| 1610 | for (k = 1; k <= l1; ++k) { |
| 1611 | ch_ref(i - 1, k, j) = wa[idij - 1] * c1_ref(i - 1, k, j) |
| 1612 | + wa[idij] * c1_ref(i, k, j); |
| 1613 | ch_ref(i, k, j) = wa[idij - 1] * c1_ref(i, k, j) - wa[ |
| 1614 | idij] * c1_ref(i - 1, k, j); |
| 1615 | } |
| 1616 | } |
| 1617 | } |
| 1618 | } else { |
| 1619 | is = -(ido); |
| 1620 | for (j = 2; j <= ip; ++j) { |
| 1621 | is += ido; |
| 1622 | for (k = 1; k <= l1; ++k) { |
| 1623 | idij = is; |
| 1624 | for (i = 3; i <= ido; i += 2) { |
| 1625 | idij += 2; |
| 1626 | ch_ref(i - 1, k, j) = wa[idij - 1] * c1_ref(i - 1, k, j) |
| 1627 | + wa[idij] * c1_ref(i, k, j); |
| 1628 | ch_ref(i, k, j) = wa[idij - 1] * c1_ref(i, k, j) - wa[ |
| 1629 | idij] * c1_ref(i - 1, k, j); |
| 1630 | } |
| 1631 | } |
| 1632 | } |
| 1633 | } |
| 1634 | if (nbd >= l1) { |
| 1635 | for (j = 2; j <= ipph; ++j) { |
| 1636 | jc = ipp2 - j; |
| 1637 | for (k = 1; k <= l1; ++k) { |
| 1638 | for (i = 3; i <= ido; i += 2) { |
| 1639 | c1_ref(i - 1, k, j) = ch_ref(i - 1, k, j) + ch_ref(i - |
| 1640 | 1, k, jc); |
| 1641 | c1_ref(i - 1, k, jc) = ch_ref(i, k, j) - ch_ref(i, k, |
| 1642 | jc); |
| 1643 | c1_ref(i, k, j) = ch_ref(i, k, j) + ch_ref(i, k, jc); |
| 1644 | c1_ref(i, k, jc) = ch_ref(i - 1, k, jc) - ch_ref(i - 1, |
| 1645 | k, j); |
| 1646 | } |
| 1647 | } |
| 1648 | } |
| 1649 | } else { |
| 1650 | for (j = 2; j <= ipph; ++j) { |
| 1651 | jc = ipp2 - j; |
| 1652 | for (i = 3; i <= ido; i += 2) { |
| 1653 | for (k = 1; k <= l1; ++k) { |
| 1654 | c1_ref(i - 1, k, j) = ch_ref(i - 1, k, j) + ch_ref(i - |
| 1655 | 1, k, jc); |
| 1656 | c1_ref(i - 1, k, jc) = ch_ref(i, k, j) - ch_ref(i, k, |
| 1657 | jc); |
| 1658 | c1_ref(i, k, j) = ch_ref(i, k, j) + ch_ref(i, k, jc); |
| 1659 | c1_ref(i, k, jc) = ch_ref(i - 1, k, jc) - ch_ref(i - 1, |
| 1660 | k, j); |
| 1661 | } |
| 1662 | } |
| 1663 | } |
| 1664 | } |
| 1665 | } |
| 1666 | for (j = 2; j <= ipph; ++j) { |
| 1667 | jc = ipp2 - j; |
| 1668 | for (k = 1; k <= l1; ++k) { |
| 1669 | c1_ref(1, k, j) = ch_ref(1, k, j) + ch_ref(1, k, jc); |
| 1670 | c1_ref(1, k, jc) = ch_ref(1, k, jc) - ch_ref(1, k, j); |
| 1671 | } |
| 1672 | } |
| 1673 | |
| 1674 | ar1 = 1.f; |
| 1675 | ai1 = 0.f; |
| 1676 | for (l = 2; l <= ipph; ++l) { |
| 1677 | lc = ipp2 - l; |
| 1678 | ar1h = dcp * ar1 - dsp * ai1; |
| 1679 | ai1 = dcp * ai1 + dsp * ar1; |
| 1680 | ar1 = ar1h; |
| 1681 | for (ik = 1; ik <= idl1; ++ik) { |
| 1682 | ch2_ref(ik, l) = c2_ref(ik, 1) + ar1 * c2_ref(ik, 2); |
| 1683 | ch2_ref(ik, lc) = ai1 * c2_ref(ik, ip); |
| 1684 | } |
| 1685 | dc2 = ar1; |
| 1686 | ds2 = ai1; |
| 1687 | ar2 = ar1; |
| 1688 | ai2 = ai1; |
| 1689 | for (j = 3; j <= ipph; ++j) { |
| 1690 | jc = ipp2 - j; |
| 1691 | ar2h = dc2 * ar2 - ds2 * ai2; |
| 1692 | ai2 = dc2 * ai2 + ds2 * ar2; |
| 1693 | ar2 = ar2h; |
| 1694 | for (ik = 1; ik <= idl1; ++ik) { |
| 1695 | ch2_ref(ik, l) = ch2_ref(ik, l) + ar2 * c2_ref(ik, j); |
| 1696 | ch2_ref(ik, lc) = ch2_ref(ik, lc) + ai2 * c2_ref(ik, jc); |
| 1697 | } |
| 1698 | } |
| 1699 | } |
| 1700 | for (j = 2; j <= ipph; ++j) { |
| 1701 | for (ik = 1; ik <= idl1; ++ik) { |
| 1702 | ch2_ref(ik, 1) = ch2_ref(ik, 1) + c2_ref(ik, j); |
| 1703 | } |
| 1704 | } |
| 1705 | |
| 1706 | if (ido >= l1) { |
| 1707 | for (k = 1; k <= l1; ++k) { |
| 1708 | for (i = 1; i <= ido; ++i) { |
| 1709 | cc_ref(i, 1, k) = ch_ref(i, k, 1); |
| 1710 | } |
| 1711 | } |
| 1712 | } else { |
| 1713 | for (i = 1; i <= ido; ++i) { |
| 1714 | for (k = 1; k <= l1; ++k) { |
| 1715 | cc_ref(i, 1, k) = ch_ref(i, k, 1); |
| 1716 | } |
| 1717 | } |
| 1718 | } |
| 1719 | for (j = 2; j <= ipph; ++j) { |
| 1720 | jc = ipp2 - j; |
| 1721 | j2 = j + j; |
| 1722 | for (k = 1; k <= l1; ++k) { |
| 1723 | cc_ref(ido, j2 - 2, k) = ch_ref(1, k, j); |
| 1724 | cc_ref(1, j2 - 1, k) = ch_ref(1, k, jc); |
| 1725 | } |
| 1726 | } |
| 1727 | if (ido == 1) { |
| 1728 | return; |
| 1729 | } |
| 1730 | if (nbd >= l1) { |
| 1731 | for (j = 2; j <= ipph; ++j) { |
| 1732 | jc = ipp2 - j; |
| 1733 | j2 = j + j; |
| 1734 | for (k = 1; k <= l1; ++k) { |
| 1735 | for (i = 3; i <= ido; i += 2) { |
| 1736 | ic = idp2 - i; |
| 1737 | cc_ref(i - 1, j2 - 1, k) = ch_ref(i - 1, k, j) + ch_ref( |
| 1738 | i - 1, k, jc); |
| 1739 | cc_ref(ic - 1, j2 - 2, k) = ch_ref(i - 1, k, j) - ch_ref( |
| 1740 | i - 1, k, jc); |
| 1741 | cc_ref(i, j2 - 1, k) = ch_ref(i, k, j) + ch_ref(i, k, |
| 1742 | jc); |
| 1743 | cc_ref(ic, j2 - 2, k) = ch_ref(i, k, jc) - ch_ref(i, k, j) |
| 1744 | ; |
| 1745 | } |
| 1746 | } |
| 1747 | } |
| 1748 | } else { |
| 1749 | for (j = 2; j <= ipph; ++j) { |
| 1750 | jc = ipp2 - j; |
| 1751 | j2 = j + j; |
| 1752 | for (i = 3; i <= ido; i += 2) { |
| 1753 | ic = idp2 - i; |
| 1754 | for (k = 1; k <= l1; ++k) { |
| 1755 | cc_ref(i - 1, j2 - 1, k) = ch_ref(i - 1, k, j) + ch_ref( |
| 1756 | i - 1, k, jc); |
| 1757 | cc_ref(ic - 1, j2 - 2, k) = ch_ref(i - 1, k, j) - ch_ref( |
| 1758 | i - 1, k, jc); |
| 1759 | cc_ref(i, j2 - 1, k) = ch_ref(i, k, j) + ch_ref(i, k, |
| 1760 | jc); |
| 1761 | cc_ref(ic, j2 - 2, k) = ch_ref(i, k, jc) - ch_ref(i, k, j) |
| 1762 | ; |
| 1763 | } |
| 1764 | } |
| 1765 | } |
| 1766 | } |
| 1767 | } /* radfg */ |
| 1768 | |
| 1769 | #undef ch2_ref |
| 1770 | #undef ch_ref |
| 1771 | #undef cc_ref |
| 1772 | #undef c2_ref |
| 1773 | #undef c1_ref |
| 1774 | |
| 1775 | |
| 1776 | static void cfftb1(integer n, real *c, real *ch, const real *wa, integer *ifac) |
| 1777 | { |
| 1778 | integer i, k1, l1, l2, na, nf, ip, iw, ix2, ix3, ix4, nac, ido, |
| 1779 | idl1, idot; |
| 1780 | |
| 1781 | /* Function Body */ |
| 1782 | nf = ifac[1]; |
| 1783 | na = 0; |
| 1784 | l1 = 1; |
| 1785 | iw = 0; |
| 1786 | for (k1 = 1; k1 <= nf; ++k1) { |
| 1787 | ip = ifac[k1 + 1]; |
| 1788 | l2 = ip * l1; |
| 1789 | ido = n / l2; |
| 1790 | idot = ido + ido; |
| 1791 | idl1 = idot * l1; |
| 1792 | switch (ip) { |
| 1793 | case 4: |
| 1794 | ix2 = iw + idot; |
| 1795 | ix3 = ix2 + idot; |
| 1796 | passb4(idot, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2], &wa[ix3]); |
| 1797 | na = 1 - na; |
| 1798 | break; |
| 1799 | case 2: |
| 1800 | passb2(idot, l1, na?ch:c, na?c:ch, &wa[iw]); |
| 1801 | na = 1 - na; |
| 1802 | break; |
| 1803 | case 3: |
| 1804 | ix2 = iw + idot; |
| 1805 | passb3(idot, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2]); |
| 1806 | na = 1 - na; |
| 1807 | break; |
| 1808 | case 5: |
| 1809 | ix2 = iw + idot; |
| 1810 | ix3 = ix2 + idot; |
| 1811 | ix4 = ix3 + idot; |
| 1812 | passfb5(idot, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], +1); |
| 1813 | na = 1 - na; |
| 1814 | break; |
| 1815 | default: |
| 1816 | if (na == 0) { |
| 1817 | passfb(&nac, idot, ip, l1, idl1, c, c, c, ch, ch, &wa[iw], +1); |
| 1818 | } else { |
| 1819 | passfb(&nac, idot, ip, l1, idl1, ch, ch, ch, c, c, &wa[iw], +1); |
| 1820 | } |
| 1821 | if (nac != 0) { |
| 1822 | na = 1 - na; |
| 1823 | } |
| 1824 | break; |
| 1825 | } |
| 1826 | l1 = l2; |
| 1827 | iw += (ip - 1) * idot; |
| 1828 | } |
| 1829 | if (na == 0) { |
| 1830 | return; |
| 1831 | } |
| 1832 | for (i = 0; i < 2*n; ++i) { |
| 1833 | c[i] = ch[i]; |
| 1834 | } |
| 1835 | } /* cfftb1 */ |
| 1836 | |
| 1837 | void cfftb(integer n, real *c, real *wsave) |
| 1838 | { |
| 1839 | integer iw1, iw2; |
| 1840 | |
| 1841 | /* Parameter adjustments */ |
| 1842 | --wsave; |
| 1843 | --c; |
| 1844 | |
| 1845 | /* Function Body */ |
| 1846 | if (n == 1) { |
| 1847 | return; |
| 1848 | } |
| 1849 | iw1 = 2*n + 1; |
| 1850 | iw2 = iw1 + 2*n; |
| 1851 | cfftb1(n, &c[1], &wsave[1], &wsave[iw1], (int*)&wsave[iw2]); |
| 1852 | } /* cfftb */ |
| 1853 | |
| 1854 | static void cfftf1(integer n, real *c, real *ch, const real *wa, integer *ifac) |
| 1855 | { |
| 1856 | /* Local variables */ |
| 1857 | integer i, k1, l1, l2, na, nf, ip, iw, ix2, ix3, ix4, nac, ido, |
| 1858 | idl1, idot; |
| 1859 | |
| 1860 | /* Function Body */ |
| 1861 | nf = ifac[1]; |
| 1862 | na = 0; |
| 1863 | l1 = 1; |
| 1864 | iw = 0; |
| 1865 | for (k1 = 1; k1 <= nf; ++k1) { |
| 1866 | ip = ifac[k1 + 1]; |
| 1867 | l2 = ip * l1; |
| 1868 | ido = n / l2; |
| 1869 | idot = ido + ido; |
| 1870 | idl1 = idot * l1; |
| 1871 | switch (ip) { |
| 1872 | case 4: |
| 1873 | ix2 = iw + idot; |
| 1874 | ix3 = ix2 + idot; |
| 1875 | passf4(idot, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2], &wa[ix3]); |
| 1876 | na = 1 - na; |
| 1877 | break; |
| 1878 | case 2: |
| 1879 | passf2(idot, l1, na?ch:c, na?c:ch, &wa[iw]); |
| 1880 | na = 1 - na; |
| 1881 | break; |
| 1882 | case 3: |
| 1883 | ix2 = iw + idot; |
| 1884 | passf3(idot, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2]); |
| 1885 | na = 1 - na; |
| 1886 | break; |
| 1887 | case 5: |
| 1888 | ix2 = iw + idot; |
| 1889 | ix3 = ix2 + idot; |
| 1890 | ix4 = ix3 + idot; |
| 1891 | passfb5(idot, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], -1); |
| 1892 | na = 1 - na; |
| 1893 | break; |
| 1894 | default: |
| 1895 | if (na == 0) { |
| 1896 | passfb(&nac, idot, ip, l1, idl1, c, c, c, ch, ch, &wa[iw], -1); |
| 1897 | } else { |
| 1898 | passfb(&nac, idot, ip, l1, idl1, ch, ch, ch, c, c, &wa[iw], -1); |
| 1899 | } |
| 1900 | if (nac != 0) { |
| 1901 | na = 1 - na; |
| 1902 | } |
| 1903 | break; |
| 1904 | } |
| 1905 | l1 = l2; |
| 1906 | iw += (ip - 1)*idot; |
| 1907 | } |
| 1908 | if (na == 0) { |
| 1909 | return; |
| 1910 | } |
| 1911 | for (i = 0; i < 2*n; ++i) { |
| 1912 | c[i] = ch[i]; |
| 1913 | } |
| 1914 | } /* cfftf1 */ |
| 1915 | |
| 1916 | void cfftf(integer n, real *c, real *wsave) |
| 1917 | { |
| 1918 | integer iw1, iw2; |
| 1919 | |
| 1920 | /* Parameter adjustments */ |
| 1921 | --wsave; |
| 1922 | --c; |
| 1923 | |
| 1924 | /* Function Body */ |
| 1925 | if (n == 1) { |
| 1926 | return; |
| 1927 | } |
| 1928 | iw1 = 2*n + 1; |
| 1929 | iw2 = iw1 + 2*n; |
| 1930 | cfftf1(n, &c[1], &wsave[1], &wsave[iw1], (int*)&wsave[iw2]); |
| 1931 | } /* cfftf */ |
| 1932 | |
| 1933 | static int decompose(integer n, integer *ifac, integer ntryh[4]) { |
| 1934 | integer ntry=0, nl = n, nf = 0, nq, nr, i, j = 0; |
| 1935 | do { |
| 1936 | if (j < 4) { |
| 1937 | ntry = ntryh[j]; |
| 1938 | } else { |
| 1939 | ntry += 2; |
| 1940 | } |
| 1941 | ++j; |
| 1942 | L104: |
| 1943 | nq = nl / ntry; |
| 1944 | nr = nl - ntry * nq; |
| 1945 | if (nr != 0) continue; |
| 1946 | ++nf; |
| 1947 | ifac[nf + 2] = ntry; |
| 1948 | nl = nq; |
| 1949 | if (ntry == 2 && nf != 1) { |
| 1950 | for (i = 2; i <= nf; ++i) { |
| 1951 | integer ib = nf - i + 2; |
| 1952 | ifac[ib + 2] = ifac[ib + 1]; |
| 1953 | } |
| 1954 | ifac[3] = 2; |
| 1955 | } |
| 1956 | if (nl != 1) { |
| 1957 | goto L104; |
| 1958 | } |
| 1959 | } while (nl != 1); |
| 1960 | ifac[1] = n; |
| 1961 | ifac[2] = nf; |
| 1962 | return nf; |
| 1963 | } |
| 1964 | |
| 1965 | static void cffti1(integer n, real *wa, integer *ifac) |
| 1966 | { |
| 1967 | static integer ntryh[4] = { 3,4,2,5 }; |
| 1968 | |
| 1969 | /* Local variables */ |
| 1970 | integer i, j, i1, k1, l1, l2; |
| 1971 | real fi; |
| 1972 | integer ld, ii, nf, ip; |
| 1973 | real arg; |
| 1974 | integer ido, ipm; |
| 1975 | real argh; |
| 1976 | integer idot; |
| 1977 | real argld; |
| 1978 | |
| 1979 | /* Parameter adjustments */ |
| 1980 | --ifac; |
| 1981 | --wa; |
| 1982 | |
| 1983 | nf = decompose(n, ifac, ntryh); |
| 1984 | |
| 1985 | argh = (2*M_PI) / (real) (n); |
| 1986 | i = 2; |
| 1987 | l1 = 1; |
| 1988 | for (k1 = 1; k1 <= nf; ++k1) { |
| 1989 | ip = ifac[k1 + 2]; |
| 1990 | ld = 0; |
| 1991 | l2 = l1 * ip; |
| 1992 | ido = n / l2; |
| 1993 | idot = ido + ido + 2; |
| 1994 | ipm = ip - 1; |
| 1995 | for (j = 1; j <= ipm; ++j) { |
| 1996 | i1 = i; |
| 1997 | wa[i - 1] = 1.f; |
| 1998 | wa[i] = 0.f; |
| 1999 | ld += l1; |
| 2000 | fi = 0.f; |
| 2001 | argld = (real) ld * argh; |
| 2002 | for (ii = 4; ii <= idot; ii += 2) { |
| 2003 | i += 2; |
| 2004 | fi += 1.f; |
| 2005 | arg = fi * argld; |
| 2006 | wa[i - 1] = cos(arg); |
| 2007 | wa[i] = sin(arg); |
| 2008 | } |
| 2009 | if (ip > 5) { |
| 2010 | wa[i1 - 1] = wa[i - 1]; |
| 2011 | wa[i1] = wa[i]; |
| 2012 | }; |
| 2013 | } |
| 2014 | l1 = l2; |
| 2015 | } |
| 2016 | } /* cffti1 */ |
| 2017 | |
| 2018 | void cffti(integer n, real *wsave) |
| 2019 | { |
| 2020 | integer iw1, iw2; |
| 2021 | /* Parameter adjustments */ |
| 2022 | --wsave; |
| 2023 | |
| 2024 | /* Function Body */ |
| 2025 | if (n == 1) { |
| 2026 | return; |
| 2027 | } |
| 2028 | iw1 = 2*n + 1; |
| 2029 | iw2 = iw1 + 2*n; |
| 2030 | cffti1(n, &wsave[iw1], (int*)&wsave[iw2]); |
| 2031 | return; |
| 2032 | } /* cffti */ |
| 2033 | |
| 2034 | static void rfftb1(integer n, real *c, real *ch, const real *wa, integer *ifac) |
| 2035 | { |
| 2036 | /* Local variables */ |
| 2037 | integer i, k1, l1, l2, na, nf, ip, iw, ix2, ix3, ix4, ido, idl1; |
| 2038 | |
| 2039 | /* Function Body */ |
| 2040 | nf = ifac[1]; |
| 2041 | na = 0; |
| 2042 | l1 = 1; |
| 2043 | iw = 0; |
| 2044 | for (k1 = 1; k1 <= nf; ++k1) { |
| 2045 | ip = ifac[k1 + 1]; |
| 2046 | l2 = ip * l1; |
| 2047 | ido = n / l2; |
| 2048 | idl1 = ido * l1; |
| 2049 | switch (ip) { |
| 2050 | case 4: |
| 2051 | ix2 = iw + ido; |
| 2052 | ix3 = ix2 + ido; |
| 2053 | radb4(ido, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2], &wa[ix3]); |
| 2054 | na = 1 - na; |
| 2055 | break; |
| 2056 | case 2: |
| 2057 | radb2(ido, l1, na?ch:c, na?c:ch, &wa[iw]); |
| 2058 | na = 1 - na; |
| 2059 | break; |
| 2060 | case 3: |
| 2061 | ix2 = iw + ido; |
| 2062 | radb3(ido, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2]); |
| 2063 | na = 1 - na; |
| 2064 | break; |
| 2065 | case 5: |
| 2066 | ix2 = iw + ido; |
| 2067 | ix3 = ix2 + ido; |
| 2068 | ix4 = ix3 + ido; |
| 2069 | radb5(ido, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4]); |
| 2070 | na = 1 - na; |
| 2071 | break; |
| 2072 | default: |
| 2073 | if (na == 0) { |
| 2074 | radbg(ido, ip, l1, idl1, c, c, c, ch, ch, &wa[iw]); |
| 2075 | } else { |
| 2076 | radbg(ido, ip, l1, idl1, ch, ch, ch, c, c, &wa[iw]); |
| 2077 | } |
| 2078 | if (ido == 1) { |
| 2079 | na = 1 - na; |
| 2080 | } |
| 2081 | break; |
| 2082 | } |
| 2083 | l1 = l2; |
| 2084 | iw += (ip - 1) * ido; |
| 2085 | } |
| 2086 | if (na == 0) { |
| 2087 | return; |
| 2088 | } |
| 2089 | for (i = 0; i < n; ++i) { |
| 2090 | c[i] = ch[i]; |
| 2091 | } |
| 2092 | } /* rfftb1 */ |
| 2093 | |
| 2094 | static void rfftf1(integer n, real *c, real *ch, const real *wa, integer *ifac) |
| 2095 | { |
| 2096 | /* Local variables */ |
| 2097 | integer i, k1, l1, l2, na, kh, nf, ip, iw, ix2, ix3, ix4, ido, idl1; |
| 2098 | |
| 2099 | /* Function Body */ |
| 2100 | nf = ifac[1]; |
| 2101 | na = 1; |
| 2102 | l2 = n; |
| 2103 | iw = n-1; |
| 2104 | for (k1 = 1; k1 <= nf; ++k1) { |
| 2105 | kh = nf - k1; |
| 2106 | ip = ifac[kh + 2]; |
| 2107 | l1 = l2 / ip; |
| 2108 | ido = n / l2; |
| 2109 | idl1 = ido * l1; |
| 2110 | iw -= (ip - 1) * ido; |
| 2111 | na = 1 - na; |
| 2112 | switch (ip) { |
| 2113 | case 4: |
| 2114 | ix2 = iw + ido; |
| 2115 | ix3 = ix2 + ido; |
| 2116 | radf4(ido, l1, na ? ch : c, na ? c : ch, &wa[iw], &wa[ix2], &wa[ix3]); |
| 2117 | break; |
| 2118 | case 2: |
| 2119 | radf2(ido, l1, na ? ch : c, na ? c : ch, &wa[iw]); |
| 2120 | break; |
| 2121 | case 3: |
| 2122 | ix2 = iw + ido; |
| 2123 | radf3(ido, l1, na ? ch : c, na ? c : ch, &wa[iw], &wa[ix2]); |
| 2124 | break; |
| 2125 | case 5: |
| 2126 | ix2 = iw + ido; |
| 2127 | ix3 = ix2 + ido; |
| 2128 | ix4 = ix3 + ido; |
| 2129 | radf5(ido, l1, na ? ch : c, na ? c : ch, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4]); |
| Julien Pommier | 432b3e8 | 2013-01-12 19:28:03 +0100 | [diff] [blame] | 2130 | break; |
| Julien Pommier | 370d209 | 2011-11-19 18:04:25 +0100 | [diff] [blame] | 2131 | default: |
| 2132 | if (ido == 1) { |
| 2133 | na = 1 - na; |
| 2134 | } |
| 2135 | if (na == 0) { |
| 2136 | radfg(ido, ip, l1, idl1, c, c, c, ch, ch, &wa[iw]); |
| 2137 | na = 1; |
| 2138 | } else { |
| 2139 | radfg(ido, ip, l1, idl1, ch, ch, ch, c, c, &wa[iw]); |
| 2140 | na = 0; |
| 2141 | } |
| 2142 | break; |
| 2143 | } |
| 2144 | l2 = l1; |
| 2145 | } |
| 2146 | if (na == 1) { |
| 2147 | return; |
| 2148 | } |
| 2149 | for (i = 0; i < n; ++i) { |
| 2150 | c[i] = ch[i]; |
| 2151 | } |
| 2152 | } |
| 2153 | |
| 2154 | void rfftb(integer n, real *r, real *wsave) |
| 2155 | { |
| 2156 | |
| 2157 | /* Parameter adjustments */ |
| 2158 | --wsave; |
| 2159 | --r; |
| 2160 | |
| 2161 | /* Function Body */ |
| 2162 | if (n == 1) { |
| 2163 | return; |
| 2164 | } |
| 2165 | rfftb1(n, &r[1], &wsave[1], &wsave[n + 1], (int*)&wsave[(n << 1) + 1]); |
| 2166 | } /* rfftb */ |
| 2167 | |
| 2168 | static void rffti1(integer n, real *wa, integer *ifac) |
| 2169 | { |
| 2170 | static integer ntryh[4] = { 4,2,3,5 }; |
| 2171 | |
| 2172 | /* Local variables */ |
| 2173 | integer i, j, k1, l1, l2; |
| 2174 | real fi; |
| 2175 | integer ld, ii, nf, ip, is; |
| 2176 | real arg; |
| 2177 | integer ido, ipm; |
| 2178 | integer nfm1; |
| 2179 | real argh; |
| 2180 | real argld; |
| 2181 | |
| 2182 | /* Parameter adjustments */ |
| 2183 | --ifac; |
| 2184 | --wa; |
| 2185 | |
| 2186 | nf = decompose(n, ifac, ntryh); |
| 2187 | |
| 2188 | argh = (2*M_PI) / (real) (n); |
| 2189 | is = 0; |
| 2190 | nfm1 = nf - 1; |
| 2191 | l1 = 1; |
| 2192 | if (nfm1 == 0) { |
| 2193 | return; |
| 2194 | } |
| 2195 | for (k1 = 1; k1 <= nfm1; ++k1) { |
| 2196 | ip = ifac[k1 + 2]; |
| 2197 | ld = 0; |
| 2198 | l2 = l1 * ip; |
| 2199 | ido = n / l2; |
| 2200 | ipm = ip - 1; |
| 2201 | for (j = 1; j <= ipm; ++j) { |
| 2202 | ld += l1; |
| 2203 | i = is; |
| 2204 | argld = (real) ld * argh; |
| 2205 | fi = 0.f; |
| 2206 | for (ii = 3; ii <= ido; ii += 2) { |
| 2207 | i += 2; |
| 2208 | fi += 1.f; |
| 2209 | arg = fi * argld; |
| 2210 | wa[i - 1] = cos(arg); |
| 2211 | wa[i] = sin(arg); |
| 2212 | } |
| 2213 | is += ido; |
| 2214 | } |
| 2215 | l1 = l2; |
| 2216 | } |
| 2217 | } /* rffti1 */ |
| 2218 | |
| 2219 | void rfftf(integer n, real *r, real *wsave) |
| 2220 | { |
| 2221 | |
| 2222 | /* Parameter adjustments */ |
| 2223 | --wsave; |
| 2224 | --r; |
| 2225 | |
| 2226 | /* Function Body */ |
| 2227 | if (n == 1) { |
| 2228 | return; |
| 2229 | } |
| 2230 | rfftf1(n, &r[1], &wsave[1], &wsave[n + 1], (int*)&wsave[(n << 1) + 1]); |
| 2231 | } /* rfftf */ |
| 2232 | |
| 2233 | void rffti(integer n, real *wsave) |
| 2234 | { |
| 2235 | /* Parameter adjustments */ |
| 2236 | --wsave; |
| 2237 | |
| 2238 | /* Function Body */ |
| 2239 | if (n == 1) { |
| 2240 | return; |
| 2241 | } |
| 2242 | rffti1(n, &wsave[n + 1], (int*)&wsave[(n << 1) + 1]); |
| 2243 | return; |
| 2244 | } /* rffti */ |
| 2245 | |
| 2246 | static void cosqb1(integer n, real *x, real *w, real *xh) |
| 2247 | { |
| 2248 | /* Local variables */ |
| 2249 | integer i, k, kc, np2, ns2; |
| 2250 | real xim1; |
| 2251 | integer modn; |
| 2252 | |
| 2253 | /* Parameter adjustments */ |
| 2254 | --xh; |
| 2255 | --w; |
| 2256 | --x; |
| 2257 | |
| 2258 | /* Function Body */ |
| 2259 | ns2 = (n + 1) / 2; |
| 2260 | np2 = n + 2; |
| 2261 | for (i = 3; i <= n; i += 2) { |
| 2262 | xim1 = x[i - 1] + x[i]; |
| 2263 | x[i] -= x[i - 1]; |
| 2264 | x[i - 1] = xim1; |
| 2265 | } |
| 2266 | x[1] += x[1]; |
| 2267 | modn = n % 2; |
| 2268 | if (modn == 0) { |
| 2269 | x[n] += x[n]; |
| 2270 | } |
| 2271 | rfftb(n, &x[1], &xh[1]); |
| 2272 | for (k = 2; k <= ns2; ++k) { |
| 2273 | kc = np2 - k; |
| 2274 | xh[k] = w[k - 1] * x[kc] + w[kc - 1] * x[k]; |
| 2275 | xh[kc] = w[k - 1] * x[k] - w[kc - 1] * x[kc]; |
| 2276 | } |
| 2277 | if (modn == 0) { |
| 2278 | x[ns2 + 1] = w[ns2] * (x[ns2 + 1] + x[ns2 + 1]); |
| 2279 | } |
| 2280 | for (k = 2; k <= ns2; ++k) { |
| 2281 | kc = np2 - k; |
| 2282 | x[k] = xh[k] + xh[kc]; |
| 2283 | x[kc] = xh[k] - xh[kc]; |
| 2284 | } |
| 2285 | x[1] += x[1]; |
| 2286 | } /* cosqb1 */ |
| 2287 | |
| 2288 | void cosqb(integer n, real *x, real *wsave) |
| 2289 | { |
| 2290 | static const real tsqrt2 = 2.82842712474619f; |
| 2291 | |
| 2292 | /* Local variables */ |
| 2293 | real x1; |
| 2294 | |
| 2295 | /* Parameter adjustments */ |
| 2296 | --wsave; |
| 2297 | --x; |
| 2298 | |
| 2299 | if (n < 2) { |
| 2300 | x[1] *= 4.f; |
| 2301 | } else if (n == 2) { |
| 2302 | x1 = (x[1] + x[2]) * 4.f; |
| 2303 | x[2] = tsqrt2 * (x[1] - x[2]); |
| 2304 | x[1] = x1; |
| 2305 | } else { |
| 2306 | cosqb1(n, &x[1], &wsave[1], &wsave[n + 1]); |
| 2307 | } |
| 2308 | } /* cosqb */ |
| 2309 | |
| 2310 | static void cosqf1(integer n, real *x, real *w, real *xh) |
| 2311 | { |
| 2312 | /* Local variables */ |
| 2313 | integer i, k, kc, np2, ns2; |
| 2314 | real xim1; |
| 2315 | integer modn; |
| 2316 | |
| 2317 | /* Parameter adjustments */ |
| 2318 | --xh; |
| 2319 | --w; |
| 2320 | --x; |
| 2321 | |
| 2322 | /* Function Body */ |
| 2323 | ns2 = (n + 1) / 2; |
| 2324 | np2 = n + 2; |
| 2325 | for (k = 2; k <= ns2; ++k) { |
| 2326 | kc = np2 - k; |
| 2327 | xh[k] = x[k] + x[kc]; |
| 2328 | xh[kc] = x[k] - x[kc]; |
| 2329 | } |
| 2330 | modn = n % 2; |
| 2331 | if (modn == 0) { |
| 2332 | xh[ns2 + 1] = x[ns2 + 1] + x[ns2 + 1]; |
| 2333 | } |
| 2334 | for (k = 2; k <= ns2; ++k) { |
| 2335 | kc = np2 - k; |
| 2336 | x[k] = w[k - 1] * xh[kc] + w[kc - 1] * xh[k]; |
| 2337 | x[kc] = w[k - 1] * xh[k] - w[kc - 1] * xh[kc]; |
| 2338 | } |
| 2339 | if (modn == 0) { |
| 2340 | x[ns2 + 1] = w[ns2] * xh[ns2 + 1]; |
| 2341 | } |
| 2342 | rfftf(n, &x[1], &xh[1]); |
| 2343 | for (i = 3; i <= n; i += 2) { |
| 2344 | xim1 = x[i - 1] - x[i]; |
| 2345 | x[i] = x[i - 1] + x[i]; |
| 2346 | x[i - 1] = xim1; |
| 2347 | } |
| 2348 | } /* cosqf1 */ |
| 2349 | |
| 2350 | void cosqf(integer n, real *x, real *wsave) |
| 2351 | { |
| 2352 | static const real sqrt2 = 1.4142135623731f; |
| 2353 | |
| 2354 | /* Local variables */ |
| 2355 | real tsqx; |
| 2356 | |
| 2357 | /* Parameter adjustments */ |
| 2358 | --wsave; |
| 2359 | --x; |
| 2360 | |
| 2361 | if (n == 2) { |
| 2362 | tsqx = sqrt2 * x[2]; |
| 2363 | x[2] = x[1] - tsqx; |
| 2364 | x[1] += tsqx; |
| 2365 | } else if (n > 2) { |
| 2366 | cosqf1(n, &x[1], &wsave[1], &wsave[n + 1]); |
| 2367 | } |
| 2368 | } /* cosqf */ |
| 2369 | |
| 2370 | void cosqi(integer n, real *wsave) |
| 2371 | { |
| 2372 | /* Local variables */ |
| 2373 | integer k; |
| 2374 | real fk, dt; |
| 2375 | |
| 2376 | /* Parameter adjustments */ |
| 2377 | --wsave; |
| 2378 | |
| 2379 | dt = M_PI/2 / (real) (n); |
| 2380 | fk = 0.f; |
| 2381 | for (k = 1; k <= n; ++k) { |
| 2382 | fk += 1.f; |
| 2383 | wsave[k] = cos(fk * dt); |
| 2384 | } |
| 2385 | rffti(n, &wsave[n + 1]); |
| 2386 | } /* cosqi */ |
| 2387 | |
| 2388 | void cost(integer n, real *x, real *wsave) |
| 2389 | { |
| 2390 | /* Local variables */ |
| 2391 | integer i, k; |
| 2392 | real c1, t1, t2; |
| 2393 | integer kc; |
| 2394 | real xi; |
| 2395 | integer nm1, np1; |
| 2396 | real x1h; |
| 2397 | integer ns2; |
| 2398 | real tx2, x1p3, xim2; |
| 2399 | integer modn; |
| 2400 | |
| 2401 | /* Parameter adjustments */ |
| 2402 | --wsave; |
| 2403 | --x; |
| 2404 | |
| 2405 | /* Function Body */ |
| 2406 | nm1 = n - 1; |
| 2407 | np1 = n + 1; |
| 2408 | ns2 = n / 2; |
| 2409 | if (n < 2) { |
| 2410 | } else if (n == 2) { |
| 2411 | x1h = x[1] + x[2]; |
| 2412 | x[2] = x[1] - x[2]; |
| 2413 | x[1] = x1h; |
| 2414 | } else if (n == 3) { |
| 2415 | x1p3 = x[1] + x[3]; |
| 2416 | tx2 = x[2] + x[2]; |
| 2417 | x[2] = x[1] - x[3]; |
| 2418 | x[1] = x1p3 + tx2; |
| 2419 | x[3] = x1p3 - tx2; |
| 2420 | } else { |
| 2421 | c1 = x[1] - x[n]; |
| 2422 | x[1] += x[n]; |
| 2423 | for (k = 2; k <= ns2; ++k) { |
| 2424 | kc = np1 - k; |
| 2425 | t1 = x[k] + x[kc]; |
| 2426 | t2 = x[k] - x[kc]; |
| 2427 | c1 += wsave[kc] * t2; |
| 2428 | t2 = wsave[k] * t2; |
| 2429 | x[k] = t1 - t2; |
| 2430 | x[kc] = t1 + t2; |
| 2431 | } |
| 2432 | modn = n % 2; |
| 2433 | if (modn != 0) { |
| 2434 | x[ns2 + 1] += x[ns2 + 1]; |
| 2435 | } |
| 2436 | rfftf(nm1, &x[1], &wsave[n + 1]); |
| 2437 | xim2 = x[2]; |
| 2438 | x[2] = c1; |
| 2439 | for (i = 4; i <= n; i += 2) { |
| 2440 | xi = x[i]; |
| 2441 | x[i] = x[i - 2] - x[i - 1]; |
| 2442 | x[i - 1] = xim2; |
| 2443 | xim2 = xi; |
| 2444 | } |
| 2445 | if (modn != 0) { |
| 2446 | x[n] = xim2; |
| 2447 | } |
| 2448 | } |
| 2449 | } /* cost */ |
| 2450 | |
| 2451 | void costi(integer n, real *wsave) |
| 2452 | { |
| 2453 | /* Initialized data */ |
| 2454 | |
| 2455 | /* Local variables */ |
| 2456 | integer k, kc; |
| 2457 | real fk, dt; |
| 2458 | integer nm1, np1, ns2; |
| 2459 | |
| 2460 | /* Parameter adjustments */ |
| 2461 | --wsave; |
| 2462 | |
| 2463 | /* Function Body */ |
| 2464 | if (n <= 3) { |
| 2465 | return; |
| 2466 | } |
| 2467 | nm1 = n - 1; |
| 2468 | np1 = n + 1; |
| 2469 | ns2 = n / 2; |
| 2470 | dt = M_PI / (real) nm1; |
| 2471 | fk = 0.f; |
| 2472 | for (k = 2; k <= ns2; ++k) { |
| 2473 | kc = np1 - k; |
| 2474 | fk += 1.f; |
| 2475 | wsave[k] = sin(fk * dt) * 2.f; |
| 2476 | wsave[kc] = cos(fk * dt) * 2.f; |
| 2477 | } |
| 2478 | rffti(nm1, &wsave[n + 1]); |
| 2479 | } /* costi */ |
| 2480 | |
| 2481 | void sinqb(integer n, real *x, real *wsave) |
| 2482 | { |
| 2483 | /* Local variables */ |
| 2484 | integer k, kc, ns2; |
| 2485 | real xhold; |
| 2486 | |
| 2487 | /* Parameter adjustments */ |
| 2488 | --wsave; |
| 2489 | --x; |
| 2490 | |
| 2491 | /* Function Body */ |
| 2492 | if (n <= 1) { |
| 2493 | x[1] *= 4.f; |
| 2494 | return; |
| 2495 | } |
| 2496 | ns2 = n / 2; |
| 2497 | for (k = 2; k <= n; k += 2) { |
| 2498 | x[k] = -x[k]; |
| 2499 | } |
| 2500 | cosqb(n, &x[1], &wsave[1]); |
| 2501 | for (k = 1; k <= ns2; ++k) { |
| 2502 | kc = n - k; |
| 2503 | xhold = x[k]; |
| 2504 | x[k] = x[kc + 1]; |
| 2505 | x[kc + 1] = xhold; |
| 2506 | } |
| 2507 | } /* sinqb */ |
| 2508 | |
| 2509 | void sinqf(integer n, real *x, real *wsave) |
| 2510 | { |
| 2511 | /* Local variables */ |
| 2512 | integer k, kc, ns2; |
| 2513 | real xhold; |
| 2514 | |
| 2515 | /* Parameter adjustments */ |
| 2516 | --wsave; |
| 2517 | --x; |
| 2518 | |
| 2519 | /* Function Body */ |
| 2520 | if (n == 1) { |
| 2521 | return; |
| 2522 | } |
| 2523 | ns2 = n / 2; |
| 2524 | for (k = 1; k <= ns2; ++k) { |
| 2525 | kc = n - k; |
| 2526 | xhold = x[k]; |
| 2527 | x[k] = x[kc + 1]; |
| 2528 | x[kc + 1] = xhold; |
| 2529 | } |
| 2530 | cosqf(n, &x[1], &wsave[1]); |
| 2531 | for (k = 2; k <= n; k += 2) { |
| 2532 | x[k] = -x[k]; |
| 2533 | } |
| 2534 | } /* sinqf */ |
| 2535 | |
| 2536 | void sinqi(integer n, real *wsave) |
| 2537 | { |
| 2538 | |
| 2539 | /* Parameter adjustments */ |
| 2540 | --wsave; |
| 2541 | |
| 2542 | /* Function Body */ |
| 2543 | cosqi(n, &wsave[1]); |
| 2544 | } /* sinqi */ |
| 2545 | |
| 2546 | static void sint1(integer n, real *war, real *was, real *xh, real * |
| 2547 | x, integer *ifac) |
| 2548 | { |
| 2549 | /* Initialized data */ |
| 2550 | |
| 2551 | static const real sqrt3 = 1.73205080756888f; |
| 2552 | |
| 2553 | /* Local variables */ |
| 2554 | integer i, k; |
| 2555 | real t1, t2; |
| 2556 | integer kc, np1, ns2, modn; |
| 2557 | real xhold; |
| 2558 | |
| 2559 | /* Parameter adjustments */ |
| 2560 | --ifac; |
| 2561 | --x; |
| 2562 | --xh; |
| 2563 | --was; |
| 2564 | --war; |
| 2565 | |
| 2566 | /* Function Body */ |
| 2567 | for (i = 1; i <= n; ++i) { |
| 2568 | xh[i] = war[i]; |
| 2569 | war[i] = x[i]; |
| 2570 | } |
| 2571 | |
| 2572 | if (n < 2) { |
| 2573 | xh[1] += xh[1]; |
| 2574 | } else if (n == 2) { |
| 2575 | xhold = sqrt3 * (xh[1] + xh[2]); |
| 2576 | xh[2] = sqrt3 * (xh[1] - xh[2]); |
| 2577 | xh[1] = xhold; |
| 2578 | } else { |
| 2579 | np1 = n + 1; |
| 2580 | ns2 = n / 2; |
| 2581 | x[1] = 0.f; |
| 2582 | for (k = 1; k <= ns2; ++k) { |
| 2583 | kc = np1 - k; |
| 2584 | t1 = xh[k] - xh[kc]; |
| 2585 | t2 = was[k] * (xh[k] + xh[kc]); |
| 2586 | x[k + 1] = t1 + t2; |
| 2587 | x[kc + 1] = t2 - t1; |
| 2588 | } |
| 2589 | modn = n % 2; |
| 2590 | if (modn != 0) { |
| 2591 | x[ns2 + 2] = xh[ns2 + 1] * 4.f; |
| 2592 | } |
| 2593 | rfftf1(np1, &x[1], &xh[1], &war[1], &ifac[1]); |
| 2594 | xh[1] = x[1] * .5f; |
| 2595 | for (i = 3; i <= n; i += 2) { |
| 2596 | xh[i - 1] = -x[i]; |
| 2597 | xh[i] = xh[i - 2] + x[i - 1]; |
| 2598 | } |
| 2599 | if (modn == 0) { |
| 2600 | xh[n] = -x[n + 1]; |
| 2601 | } |
| 2602 | } |
| 2603 | for (i = 1; i <= n; ++i) { |
| 2604 | x[i] = war[i]; |
| 2605 | war[i] = xh[i]; |
| 2606 | } |
| 2607 | } /* sint1 */ |
| 2608 | |
| 2609 | void sinti(integer n, real *wsave) |
| 2610 | { |
| 2611 | /* Local variables */ |
| 2612 | integer k; |
| 2613 | real dt; |
| 2614 | integer np1, ns2; |
| 2615 | |
| 2616 | /* Parameter adjustments */ |
| 2617 | --wsave; |
| 2618 | |
| 2619 | /* Function Body */ |
| 2620 | if (n <= 1) { |
| 2621 | return; |
| 2622 | } |
| 2623 | ns2 = n / 2; |
| 2624 | np1 = n + 1; |
| 2625 | dt = M_PI / (real) np1; |
| 2626 | for (k = 1; k <= ns2; ++k) { |
| 2627 | wsave[k] = sin(k * dt) * 2.f; |
| 2628 | } |
| 2629 | rffti(np1, &wsave[ns2 + 1]); |
| 2630 | } /* sinti */ |
| 2631 | |
| 2632 | void sint(integer n, real *x, real *wsave) |
| 2633 | { |
| 2634 | integer np1, iw1, iw2, iw3; |
| 2635 | |
| 2636 | /* Parameter adjustments */ |
| 2637 | --wsave; |
| 2638 | --x; |
| 2639 | |
| 2640 | /* Function Body */ |
| 2641 | np1 = n + 1; |
| 2642 | iw1 = n / 2 + 1; |
| 2643 | iw2 = iw1 + np1; |
| 2644 | iw3 = iw2 + np1; |
| 2645 | sint1(n, &x[1], &wsave[1], &wsave[iw1], &wsave[iw2], (int*)&wsave[iw3]); |
| 2646 | } /* sint */ |
| 2647 | |
| 2648 | #ifdef TESTING_FFTPACK |
| 2649 | #include <stdio.h> |
| 2650 | |
| 2651 | int main(void) |
| 2652 | { |
| 2653 | static integer nd[] = { 120,91,54,49,32,28,24,8,4,3,2 }; |
| 2654 | |
| 2655 | /* System generated locals */ |
| 2656 | real r1, r2, r3; |
| 2657 | f77complex q1, q2, q3; |
| 2658 | |
| 2659 | /* Local variables */ |
| 2660 | integer i, j, k, n; |
| 2661 | real w[2000], x[200], y[200], cf, fn, dt; |
| 2662 | f77complex cx[200], cy[200]; |
| 2663 | real xh[200]; |
| 2664 | integer nz, nm1, np1, ns2; |
| 2665 | real arg, tfn; |
| 2666 | real sum, arg1, arg2; |
| 2667 | real sum1, sum2, dcfb; |
| 2668 | integer modn; |
| 2669 | real rftb, rftf; |
| 2670 | real sqrt2; |
| 2671 | real rftfb; |
| 2672 | real costt, sintt, dcfftb, dcfftf, cosqfb, costfb; |
| 2673 | real sinqfb; |
| 2674 | real sintfb; |
| 2675 | real cosqbt, cosqft, sinqbt, sinqft; |
| 2676 | |
| 2677 | |
| 2678 | |
| 2679 | /* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */ |
| 2680 | |
| 2681 | /* VERSION 4 APRIL 1985 */ |
| 2682 | |
| 2683 | /* A TEST DRIVER FOR */ |
| 2684 | /* A PACKAGE OF FORTRAN SUBPROGRAMS FOR THE FAST FOURIER */ |
| 2685 | /* TRANSFORM OF PERIODIC AND OTHER SYMMETRIC SEQUENCES */ |
| 2686 | |
| 2687 | /* BY */ |
| 2688 | |
| 2689 | /* PAUL N SWARZTRAUBER */ |
| 2690 | |
| 2691 | /* NATIONAL CENTER FOR ATMOSPHERIC RESEARCH BOULDER,COLORADO 80307 */ |
| 2692 | |
| 2693 | /* WHICH IS SPONSORED BY THE NATIONAL SCIENCE FOUNDATION */ |
| 2694 | |
| 2695 | /* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */ |
| 2696 | |
| 2697 | |
| 2698 | /* THIS PROGRAM TESTS THE PACKAGE OF FAST FOURIER */ |
| 2699 | /* TRANSFORMS FOR BOTH COMPLEX AND REAL PERIODIC SEQUENCES AND */ |
| 2700 | /* CERTIAN OTHER SYMMETRIC SEQUENCES THAT ARE LISTED BELOW. */ |
| 2701 | |
| 2702 | /* 1. RFFTI INITIALIZE RFFTF AND RFFTB */ |
| 2703 | /* 2. RFFTF FORWARD TRANSFORM OF A REAL PERIODIC SEQUENCE */ |
| 2704 | /* 3. RFFTB BACKWARD TRANSFORM OF A REAL COEFFICIENT ARRAY */ |
| 2705 | |
| 2706 | /* 4. EZFFTI INITIALIZE EZFFTF AND EZFFTB */ |
| 2707 | /* 5. EZFFTF A SIMPLIFIED REAL PERIODIC FORWARD TRANSFORM */ |
| 2708 | /* 6. EZFFTB A SIMPLIFIED REAL PERIODIC BACKWARD TRANSFORM */ |
| 2709 | |
| 2710 | /* 7. SINTI INITIALIZE SINT */ |
| 2711 | /* 8. SINT SINE TRANSFORM OF A REAL ODD SEQUENCE */ |
| 2712 | |
| 2713 | /* 9. COSTI INITIALIZE COST */ |
| 2714 | /* 10. COST COSINE TRANSFORM OF A REAL EVEN SEQUENCE */ |
| 2715 | |
| 2716 | /* 11. SINQI INITIALIZE SINQF AND SINQB */ |
| 2717 | /* 12. SINQF FORWARD SINE TRANSFORM WITH ODD WAVE NUMBERS */ |
| 2718 | /* 13. SINQB UNNORMALIZED INVERSE OF SINQF */ |
| 2719 | |
| 2720 | /* 14. COSQI INITIALIZE COSQF AND COSQB */ |
| 2721 | /* 15. COSQF FORWARD COSINE TRANSFORM WITH ODD WAVE NUMBERS */ |
| 2722 | /* 16. COSQB UNNORMALIZED INVERSE OF COSQF */ |
| 2723 | |
| 2724 | /* 17. CFFTI INITIALIZE CFFTF AND CFFTB */ |
| 2725 | /* 18. CFFTF FORWARD TRANSFORM OF A COMPLEX PERIODIC SEQUENCE */ |
| 2726 | /* 19. CFFTB UNNORMALIZED INVERSE OF CFFTF */ |
| 2727 | |
| 2728 | |
| 2729 | sqrt2 = sqrt(2.f); |
| 2730 | int all_ok = 1; |
| 2731 | for (nz = 1; nz <= (int)(sizeof nd/sizeof nd[0]); ++nz) { |
| 2732 | n = nd[nz - 1]; |
| 2733 | modn = n % 2; |
| 2734 | fn = (real) n; |
| 2735 | tfn = fn + fn; |
| 2736 | np1 = n + 1; |
| 2737 | nm1 = n - 1; |
| 2738 | for (j = 1; j <= np1; ++j) { |
| 2739 | x[j - 1] = sin((real) j * sqrt2); |
| 2740 | y[j - 1] = x[j - 1]; |
| 2741 | xh[j - 1] = x[j - 1]; |
| 2742 | } |
| 2743 | |
| 2744 | /* TEST SUBROUTINES RFFTI,RFFTF AND RFFTB */ |
| 2745 | |
| 2746 | rffti(n, w); |
| 2747 | dt = (2*M_PI) / fn; |
| 2748 | ns2 = (n + 1) / 2; |
| 2749 | if (ns2 < 2) { |
| 2750 | goto L104; |
| 2751 | } |
| 2752 | for (k = 2; k <= ns2; ++k) { |
| 2753 | sum1 = 0.f; |
| 2754 | sum2 = 0.f; |
| 2755 | arg = (real) (k - 1) * dt; |
| 2756 | for (i = 1; i <= n; ++i) { |
| 2757 | arg1 = (real) (i - 1) * arg; |
| 2758 | sum1 += x[i - 1] * cos(arg1); |
| 2759 | sum2 += x[i - 1] * sin(arg1); |
| 2760 | } |
| 2761 | y[(k << 1) - 3] = sum1; |
| 2762 | y[(k << 1) - 2] = -sum2; |
| 2763 | } |
| 2764 | L104: |
| 2765 | sum1 = 0.f; |
| 2766 | sum2 = 0.f; |
| 2767 | for (i = 1; i <= nm1; i += 2) { |
| 2768 | sum1 += x[i - 1]; |
| 2769 | sum2 += x[i]; |
| 2770 | } |
| 2771 | if (modn == 1) { |
| 2772 | sum1 += x[n - 1]; |
| 2773 | } |
| 2774 | y[0] = sum1 + sum2; |
| 2775 | if (modn == 0) { |
| 2776 | y[n - 1] = sum1 - sum2; |
| 2777 | } |
| 2778 | rfftf(n, x, w); |
| 2779 | rftf = 0.f; |
| 2780 | for (i = 1; i <= n; ++i) { |
| 2781 | /* Computing MAX */ |
| 2782 | r2 = rftf, r3 = (r1 = x[i - 1] - y[i - 1], fabs(r1)); |
| 2783 | rftf = dmax(r2,r3); |
| 2784 | x[i - 1] = xh[i - 1]; |
| 2785 | } |
| 2786 | rftf /= fn; |
| 2787 | for (i = 1; i <= n; ++i) { |
| 2788 | sum = x[0] * .5f; |
| 2789 | arg = (real) (i - 1) * dt; |
| 2790 | if (ns2 < 2) { |
| 2791 | goto L108; |
| 2792 | } |
| 2793 | for (k = 2; k <= ns2; ++k) { |
| 2794 | arg1 = (real) (k - 1) * arg; |
| 2795 | sum = sum + x[(k << 1) - 3] * cos(arg1) - x[(k << 1) - 2] * |
| 2796 | sin(arg1); |
| 2797 | } |
| 2798 | L108: |
| 2799 | if (modn == 0) { |
| 2800 | sum += (real)pow(-1, i-1) * .5f * x[n - 1]; |
| 2801 | } |
| 2802 | y[i - 1] = sum + sum; |
| 2803 | } |
| 2804 | rfftb(n, x, w); |
| 2805 | rftb = 0.f; |
| 2806 | for (i = 1; i <= n; ++i) { |
| 2807 | /* Computing MAX */ |
| 2808 | r2 = rftb, r3 = (r1 = x[i - 1] - y[i - 1], fabs(r1)); |
| 2809 | rftb = dmax(r2,r3); |
| 2810 | x[i - 1] = xh[i - 1]; |
| 2811 | y[i - 1] = xh[i - 1]; |
| 2812 | } |
| 2813 | rfftb(n, y, w); |
| 2814 | rfftf(n, y, w); |
| 2815 | cf = 1.f / fn; |
| 2816 | rftfb = 0.f; |
| 2817 | for (i = 1; i <= n; ++i) { |
| 2818 | /* Computing MAX */ |
| 2819 | r2 = rftfb, r3 = (r1 = cf * y[i - 1] - x[i - 1], fabs( |
| 2820 | r1)); |
| 2821 | rftfb = dmax(r2,r3); |
| 2822 | } |
| 2823 | |
| 2824 | /* TEST SUBROUTINES SINTI AND SINT */ |
| 2825 | |
| 2826 | dt = M_PI / fn; |
| 2827 | for (i = 1; i <= nm1; ++i) { |
| 2828 | x[i - 1] = xh[i - 1]; |
| 2829 | } |
| 2830 | for (i = 1; i <= nm1; ++i) { |
| 2831 | y[i - 1] = 0.f; |
| 2832 | arg1 = (real) i * dt; |
| 2833 | for (k = 1; k <= nm1; ++k) { |
| 2834 | y[i - 1] += x[k - 1] * sin((real) k * arg1); |
| 2835 | } |
| 2836 | y[i - 1] += y[i - 1]; |
| 2837 | } |
| 2838 | sinti(nm1, w); |
| 2839 | sint(nm1, x, w); |
| 2840 | cf = .5f / fn; |
| 2841 | sintt = 0.f; |
| 2842 | for (i = 1; i <= nm1; ++i) { |
| 2843 | /* Computing MAX */ |
| 2844 | r2 = sintt, r3 = (r1 = x[i - 1] - y[i - 1], fabs(r1)); |
| 2845 | sintt = dmax(r2,r3); |
| 2846 | x[i - 1] = xh[i - 1]; |
| 2847 | y[i - 1] = x[i - 1]; |
| 2848 | } |
| 2849 | sintt = cf * sintt; |
| 2850 | sint(nm1, x, w); |
| 2851 | sint(nm1, x, w); |
| 2852 | sintfb = 0.f; |
| 2853 | for (i = 1; i <= nm1; ++i) { |
| 2854 | /* Computing MAX */ |
| 2855 | r2 = sintfb, r3 = (r1 = cf * x[i - 1] - y[i - 1], fabs( |
| 2856 | r1)); |
| 2857 | sintfb = dmax(r2,r3); |
| 2858 | } |
| 2859 | |
| 2860 | /* TEST SUBROUTINES COSTI AND COST */ |
| 2861 | |
| 2862 | for (i = 1; i <= np1; ++i) { |
| 2863 | x[i - 1] = xh[i - 1]; |
| 2864 | } |
| 2865 | for (i = 1; i <= np1; ++i) { |
| 2866 | y[i - 1] = (x[0] + (real) pow(-1, i+1) * x[n]) * .5f; |
| 2867 | arg = (real) (i - 1) * dt; |
| 2868 | for (k = 2; k <= n; ++k) { |
| 2869 | y[i - 1] += x[k - 1] * cos((real) (k - 1) * arg); |
| 2870 | } |
| 2871 | y[i - 1] += y[i - 1]; |
| 2872 | } |
| 2873 | costi(np1, w); |
| 2874 | cost(np1, x, w); |
| 2875 | costt = 0.f; |
| 2876 | for (i = 1; i <= np1; ++i) { |
| 2877 | /* Computing MAX */ |
| 2878 | r2 = costt, r3 = (r1 = x[i - 1] - y[i - 1], fabs(r1)); |
| 2879 | costt = dmax(r2,r3); |
| 2880 | x[i - 1] = xh[i - 1]; |
| 2881 | y[i - 1] = xh[i - 1]; |
| 2882 | } |
| 2883 | costt = cf * costt; |
| 2884 | cost(np1, x, w); |
| 2885 | cost(np1, x, w); |
| 2886 | costfb = 0.f; |
| 2887 | for (i = 1; i <= np1; ++i) { |
| 2888 | /* Computing MAX */ |
| 2889 | r2 = costfb, r3 = (r1 = cf * x[i - 1] - y[i - 1], fabs( |
| 2890 | r1)); |
| 2891 | costfb = dmax(r2,r3); |
| 2892 | } |
| 2893 | |
| 2894 | /* TEST SUBROUTINES SINQI,SINQF AND SINQB */ |
| 2895 | |
| 2896 | cf = .25f / fn; |
| 2897 | for (i = 1; i <= n; ++i) { |
| 2898 | y[i - 1] = xh[i - 1]; |
| 2899 | } |
| 2900 | dt = M_PI / (fn + fn); |
| 2901 | for (i = 1; i <= n; ++i) { |
| 2902 | x[i - 1] = 0.f; |
| 2903 | arg = dt * (real) i; |
| 2904 | for (k = 1; k <= n; ++k) { |
| 2905 | x[i - 1] += y[k - 1] * sin((real) (k + k - 1) * arg); |
| 2906 | } |
| 2907 | x[i - 1] *= 4.f; |
| 2908 | } |
| 2909 | sinqi(n, w); |
| 2910 | sinqb(n, y, w); |
| 2911 | sinqbt = 0.f; |
| 2912 | for (i = 1; i <= n; ++i) { |
| 2913 | /* Computing MAX */ |
| 2914 | r2 = sinqbt, r3 = (r1 = y[i - 1] - x[i - 1], fabs(r1)) |
| 2915 | ; |
| 2916 | sinqbt = dmax(r2,r3); |
| 2917 | x[i - 1] = xh[i - 1]; |
| 2918 | } |
| 2919 | sinqbt = cf * sinqbt; |
| 2920 | for (i = 1; i <= n; ++i) { |
| 2921 | arg = (real) (i + i - 1) * dt; |
| 2922 | y[i - 1] = (real) pow(-1, i+1) * .5f * x[n - 1]; |
| 2923 | for (k = 1; k <= nm1; ++k) { |
| 2924 | y[i - 1] += x[k - 1] * sin((real) k * arg); |
| 2925 | } |
| 2926 | y[i - 1] += y[i - 1]; |
| 2927 | } |
| 2928 | sinqf(n, x, w); |
| 2929 | sinqft = 0.f; |
| 2930 | for (i = 1; i <= n; ++i) { |
| 2931 | /* Computing MAX */ |
| 2932 | r2 = sinqft, r3 = (r1 = x[i - 1] - y[i - 1], fabs(r1)) |
| 2933 | ; |
| 2934 | sinqft = dmax(r2,r3); |
| 2935 | y[i - 1] = xh[i - 1]; |
| 2936 | x[i - 1] = xh[i - 1]; |
| 2937 | } |
| 2938 | sinqf(n, y, w); |
| 2939 | sinqb(n, y, w); |
| 2940 | sinqfb = 0.f; |
| 2941 | for (i = 1; i <= n; ++i) { |
| 2942 | /* Computing MAX */ |
| 2943 | r2 = sinqfb, r3 = (r1 = cf * y[i - 1] - x[i - 1], fabs( |
| 2944 | r1)); |
| 2945 | sinqfb = dmax(r2,r3); |
| 2946 | } |
| 2947 | |
| 2948 | /* TEST SUBROUTINES COSQI,COSQF AND COSQB */ |
| 2949 | |
| 2950 | for (i = 1; i <= n; ++i) { |
| 2951 | y[i - 1] = xh[i - 1]; |
| 2952 | } |
| 2953 | for (i = 1; i <= n; ++i) { |
| 2954 | x[i - 1] = 0.f; |
| 2955 | arg = (real) (i - 1) * dt; |
| 2956 | for (k = 1; k <= n; ++k) { |
| 2957 | x[i - 1] += y[k - 1] * cos((real) (k + k - 1) * arg); |
| 2958 | } |
| 2959 | x[i - 1] *= 4.f; |
| 2960 | } |
| 2961 | cosqi(n, w); |
| 2962 | cosqb(n, y, w); |
| 2963 | cosqbt = 0.f; |
| 2964 | for (i = 1; i <= n; ++i) { |
| 2965 | /* Computing MAX */ |
| 2966 | r2 = cosqbt, r3 = (r1 = x[i - 1] - y[i - 1], fabs(r1)) |
| 2967 | ; |
| 2968 | cosqbt = dmax(r2,r3); |
| 2969 | x[i - 1] = xh[i - 1]; |
| 2970 | } |
| 2971 | cosqbt = cf * cosqbt; |
| 2972 | for (i = 1; i <= n; ++i) { |
| 2973 | y[i - 1] = x[0] * .5f; |
| 2974 | arg = (real) (i + i - 1) * dt; |
| 2975 | for (k = 2; k <= n; ++k) { |
| 2976 | y[i - 1] += x[k - 1] * cos((real) (k - 1) * arg); |
| 2977 | } |
| 2978 | y[i - 1] += y[i - 1]; |
| 2979 | } |
| 2980 | cosqf(n, x, w); |
| 2981 | cosqft = 0.f; |
| 2982 | for (i = 1; i <= n; ++i) { |
| 2983 | /* Computing MAX */ |
| 2984 | r2 = cosqft, r3 = (r1 = y[i - 1] - x[i - 1], fabs(r1)) |
| 2985 | ; |
| 2986 | cosqft = dmax(r2,r3); |
| 2987 | x[i - 1] = xh[i - 1]; |
| 2988 | y[i - 1] = xh[i - 1]; |
| 2989 | } |
| 2990 | cosqft = cf * cosqft; |
| 2991 | cosqb(n, x, w); |
| 2992 | cosqf(n, x, w); |
| 2993 | cosqfb = 0.f; |
| 2994 | for (i = 1; i <= n; ++i) { |
| 2995 | /* Computing MAX */ |
| 2996 | r2 = cosqfb, r3 = (r1 = cf * x[i - 1] - y[i - 1], fabs(r1)); |
| 2997 | cosqfb = dmax(r2,r3); |
| 2998 | } |
| 2999 | |
| 3000 | /* TEST CFFTI,CFFTF,CFFTB */ |
| 3001 | |
| 3002 | for (i = 1; i <= n; ++i) { |
| 3003 | r1 = cos(sqrt2 * (real) i); |
| 3004 | r2 = sin(sqrt2 * (real) (i * i)); |
| 3005 | q1.r = r1, q1.i = r2; |
| 3006 | cx[i-1].r = q1.r, cx[i-1].i = q1.i; |
| 3007 | } |
| 3008 | dt = (2*M_PI) / fn; |
| 3009 | for (i = 1; i <= n; ++i) { |
| 3010 | arg1 = -((real) (i - 1)) * dt; |
| 3011 | cy[i-1].r = 0.f, cy[i-1].i = 0.f; |
| 3012 | for (k = 1; k <= n; ++k) { |
| 3013 | arg2 = (real) (k - 1) * arg1; |
| 3014 | r1 = cos(arg2); |
| 3015 | r2 = sin(arg2); |
| 3016 | q3.r = r1, q3.i = r2; |
| 3017 | q2.r = q3.r * cx[k-1].r - q3.i * cx[k-1].i, q2.i = |
| 3018 | q3.r * cx[k-1].i + q3.i * cx[k-1].r; |
| 3019 | q1.r = cy[i-1].r + q2.r, q1.i = cy[i-1].i + q2.i; |
| 3020 | cy[i-1].r = q1.r, cy[i-1].i = q1.i; |
| 3021 | } |
| 3022 | } |
| 3023 | cffti(n, w); |
| 3024 | cfftf(n, (real*)cx, w); |
| 3025 | dcfftf = 0.f; |
| 3026 | for (i = 1; i <= n; ++i) { |
| 3027 | /* Computing MAX */ |
| 3028 | q1.r = cx[i-1].r - cy[i-1].r, q1.i = cx[i-1].i - cy[i-1] |
| 3029 | .i; |
| 3030 | r1 = dcfftf, r2 = c_abs(&q1); |
| 3031 | dcfftf = dmax(r1,r2); |
| 3032 | q1.r = cx[i-1].r / fn, q1.i = cx[i-1].i / fn; |
| 3033 | cx[i-1].r = q1.r, cx[i-1].i = q1.i; |
| 3034 | } |
| 3035 | dcfftf /= fn; |
| 3036 | for (i = 1; i <= n; ++i) { |
| 3037 | arg1 = (real) (i - 1) * dt; |
| 3038 | cy[i-1].r = 0.f, cy[i-1].i = 0.f; |
| 3039 | for (k = 1; k <= n; ++k) { |
| 3040 | arg2 = (real) (k - 1) * arg1; |
| 3041 | r1 = cos(arg2); |
| 3042 | r2 = sin(arg2); |
| 3043 | q3.r = r1, q3.i = r2; |
| 3044 | q2.r = q3.r * cx[k-1].r - q3.i * cx[k-1].i, q2.i = |
| 3045 | q3.r * cx[k-1].i + q3.i * cx[k-1].r; |
| 3046 | q1.r = cy[i-1].r + q2.r, q1.i = cy[i-1].i + q2.i; |
| 3047 | cy[i-1].r = q1.r, cy[i-1].i = q1.i; |
| 3048 | } |
| 3049 | } |
| 3050 | cfftb(n, (real*)cx, w); |
| 3051 | dcfftb = 0.f; |
| 3052 | for (i = 1; i <= n; ++i) { |
| 3053 | /* Computing MAX */ |
| 3054 | q1.r = cx[i-1].r - cy[i-1].r, q1.i = cx[i-1].i - cy[i-1].i; |
| 3055 | r1 = dcfftb, r2 = c_abs(&q1); |
| 3056 | dcfftb = dmax(r1,r2); |
| 3057 | cx[i-1].r = cy[i-1].r, cx[i-1].i = cy[i-1].i; |
| 3058 | } |
| 3059 | cf = 1.f / fn; |
| 3060 | cfftf(n, (real*)cx, w); |
| 3061 | cfftb(n, (real*)cx, w); |
| 3062 | dcfb = 0.f; |
| 3063 | for (i = 1; i <= n; ++i) { |
| 3064 | /* Computing MAX */ |
| 3065 | q2.r = cf * cx[i-1].r, q2.i = cf * cx[i-1].i; |
| 3066 | q1.r = q2.r - cy[i-1].r, q1.i = q2.i - cy[i-1].i; |
| 3067 | r1 = dcfb, r2 = c_abs(&q1); |
| 3068 | dcfb = dmax(r1,r2); |
| 3069 | } |
| 3070 | printf("%d\tRFFTF %10.3g\tRFFTB %10.ge\tRFFTFB %10.3g", n, rftf, rftb, rftfb); |
| 3071 | printf( "\tSINT %10.3g\tSINTFB %10.ge\tCOST %10.3g\n", sintt, sintfb, costt); |
| 3072 | printf( "\tCOSTFB %10.3g\tSINQF %10.ge\tSINQB %10.3g", costfb, sinqft, sinqbt); |
| 3073 | printf( "\tSINQFB %10.3g\tCOSQF %10.ge\tCOSQB %10.3g\n", sinqfb, cosqft, cosqbt); |
| 3074 | printf( "\tCOSQFB %10.3g\t", cosqfb); |
| 3075 | printf( "\tCFFTF %10.ge\tCFFTB %10.3g\n", dcfftf, dcfftb); |
| 3076 | printf( "\tCFFTFB %10.3g\n", dcfb); |
| 3077 | |
| 3078 | #define CHECK(x) if (x > 1e-3) { printf(#x " failed: %g\n", x); all_ok = 0; } |
| 3079 | CHECK(rftf); CHECK(rftb); CHECK(rftfb); CHECK(sintt); CHECK(sintfb); CHECK(costt); |
| 3080 | CHECK(costfb); CHECK(sinqft); CHECK(sinqbt); CHECK(sinqfb); CHECK(cosqft); CHECK(cosqbt); |
| 3081 | CHECK(cosqfb); CHECK(dcfftf); CHECK(dcfftb); |
| 3082 | } |
| 3083 | |
| 3084 | if (all_ok) printf("Everything looks fine.\n"); |
| 3085 | else printf("ERRORS WERE DETECTED.\n"); |
| 3086 | /* |
| 3087 | expected: |
| 3088 | 120 RFFTF 2.786e-06 RFFTB 6.847e-04 RFFTFB 2.795e-07 SINT 1.312e-06 SINTFB 1.237e-06 COST 1.319e-06 |
| 3089 | COSTFB 4.355e-06 SINQF 3.281e-04 SINQB 1.876e-06 SINQFB 2.198e-07 COSQF 6.199e-07 COSQB 2.193e-06 |
| 3090 | COSQFB 2.300e-07 DEZF 5.573e-06 DEZB 1.363e-05 DEZFB 1.371e-06 CFFTF 5.590e-06 CFFTB 4.751e-05 |
| 3091 | CFFTFB 4.215e-07 |
| 3092 | 54 RFFTF 4.708e-07 RFFTB 3.052e-05 RFFTFB 3.439e-07 SINT 3.532e-07 SINTFB 4.145e-07 COST 3.002e-07 |
| 3093 | COSTFB 6.343e-07 SINQF 4.959e-05 SINQB 4.415e-07 SINQFB 2.882e-07 COSQF 2.826e-07 COSQB 2.472e-07 |
| 3094 | COSQFB 3.439e-07 DEZF 9.388e-07 DEZB 5.066e-06 DEZFB 5.960e-07 CFFTF 1.426e-06 CFFTB 9.482e-06 |
| 3095 | CFFTFB 2.980e-07 |
| 3096 | 49 RFFTF 4.476e-07 RFFTB 5.341e-05 RFFTFB 2.574e-07 SINT 9.196e-07 SINTFB 9.401e-07 COST 8.174e-07 |
| 3097 | COSTFB 1.331e-06 SINQF 4.005e-05 SINQB 9.342e-07 SINQFB 3.057e-07 COSQF 2.530e-07 COSQB 6.228e-07 |
| 3098 | COSQFB 4.826e-07 DEZF 9.071e-07 DEZB 4.590e-06 DEZFB 5.960e-07 CFFTF 2.095e-06 CFFTB 1.414e-05 |
| 3099 | CFFTFB 7.398e-07 |
| 3100 | 32 RFFTF 4.619e-07 RFFTB 2.861e-05 RFFTFB 1.192e-07 SINT 3.874e-07 SINTFB 4.172e-07 COST 4.172e-07 |
| 3101 | COSTFB 1.699e-06 SINQF 2.551e-05 SINQB 6.407e-07 SINQFB 2.980e-07 COSQF 1.639e-07 COSQB 1.714e-07 |
| 3102 | COSQFB 2.384e-07 DEZF 1.013e-06 DEZB 2.339e-06 DEZFB 7.749e-07 CFFTF 1.127e-06 CFFTB 6.744e-06 |
| 3103 | CFFTFB 2.666e-07 |
| 3104 | 4 RFFTF 1.490e-08 RFFTB 1.490e-07 RFFTFB 5.960e-08 SINT 7.451e-09 SINTFB 0.000e+00 COST 2.980e-08 |
| 3105 | COSTFB 1.192e-07 SINQF 4.768e-07 SINQB 2.980e-08 SINQFB 5.960e-08 COSQF 2.608e-08 COSQB 5.960e-08 |
| 3106 | COSQFB 1.192e-07 DEZF 2.980e-08 DEZB 5.960e-08 DEZFB 0.000e+00 CFFTF 6.664e-08 CFFTB 5.960e-08 |
| 3107 | CFFTFB 6.144e-08 |
| 3108 | 3 RFFTF 3.974e-08 RFFTB 1.192e-07 RFFTFB 3.303e-08 SINT 1.987e-08 SINTFB 1.069e-08 COST 4.967e-08 |
| 3109 | COSTFB 5.721e-08 SINQF 8.941e-08 SINQB 2.980e-08 SINQFB 1.259e-07 COSQF 7.451e-09 COSQB 4.967e-08 |
| 3110 | COSQFB 7.029e-08 DEZF 1.192e-07 DEZB 5.960e-08 DEZFB 5.960e-08 CFFTF 7.947e-08 CFFTB 8.429e-08 |
| 3111 | CFFTFB 9.064e-08 |
| 3112 | 2 RFFTF 0.000e+00 RFFTB 0.000e+00 RFFTFB 0.000e+00 SINT 0.000e+00 SINTFB 0.000e+00 COST 0.000e+00 |
| 3113 | COSTFB 0.000e+00 SINQF 1.192e-07 SINQB 2.980e-08 SINQFB 5.960e-08 COSQF 7.451e-09 COSQB 1.490e-08 |
| 3114 | COSQFB 0.000e+00 DEZF 0.000e+00 DEZB 0.000e+00 DEZFB 0.000e+00 CFFTF 0.000e+00 CFFTB 5.960e-08 |
| 3115 | CFFTFB 5.960e-08 |
| 3116 | Everything looks fine. |
| 3117 | |
| 3118 | */ |
| 3119 | |
| 3120 | return all_ok ? 0 : 1; |
| 3121 | } |
| hayati ayguen | c974c1d | 2020-03-29 03:39:30 +0200 | [diff] [blame] | 3122 | #endif /* TESTING_FFTPACK */ |