src/fftw/ftwi_10.c

   1 /*
   2  * Copyright (c) 1997-1999 Massachusetts Institute of Technology
   3  *
   4  * This program is free software; you can redistribute it and/or modify
   5  * it under the terms of the GNU General Public License as published by
   6  * the Free Software Foundation; either version 2 of the License, or
   7  * (at your option) any later version.
   8  *
   9  * This program is distributed in the hope that it will be useful,
  10  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  11  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  12  * GNU General Public License for more details.
  13  *
  14  * You should have received a copy of the GNU General Public License
  15  * along with this program; if not, write to the Free Software
  16  * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
  17  *
  18  */
  19
  20 /* This file was automatically generated --- DO NOT EDIT */
  21 /* Generated on Tue May 18 13:55:52 EDT 1999 */
  22
  23 #include <fftw-int.h>
  24 #include <fftw.h>
  25
  26 /* Generated by: ./genfft -magic-alignment-check -magic-twiddle-load-all -magic-variables 4 -magic-loopi -twiddleinv 10 */
  27
  28 /*
  29  * This function contains 102 FP additions, 60 FP multiplications,
  30  * (or, 72 additions, 30 multiplications, 30 fused multiply/add),
  31  * 42 stack variables, and 40 memory accesses
  32  */
  33 static const fftw_real K951056516 = FFTW_KONST(+0.951056516295153572116439333379382143405698634);
  34 static const fftw_real K587785252 = FFTW_KONST(+0.587785252292473129168705954639072768597652438);
  35 static const fftw_real K250000000 = FFTW_KONST(+0.250000000000000000000000000000000000000000000);
  36 static const fftw_real K559016994 = FFTW_KONST(+0.559016994374947424102293417182819058860154590);
  37
  38 /*
  39  * Generator Id's :
  40  * $Id$
  41  * $Id$
  42  * $Id$
  43  */
  44
  45 void fftwi_twiddle_10(fftw_complex *A, const fftw_complex *W, int iostride, int m, int dist)
  46 {
  47      int i;
  48      fftw_complex *inout;
  49      inout = A;
  50      for (i = m; i > 0; i = i - 1, inout = inout + dist, W = W + 9) {
  51           fftw_real tmp7;
  52           fftw_real tmp55;
  53           fftw_real tmp100;
  54           fftw_real tmp115;
  55           fftw_real tmp41;
  56           fftw_real tmp52;
  57           fftw_real tmp53;
  58           fftw_real tmp59;
  59           fftw_real tmp60;
  60           fftw_real tmp61;
  61           fftw_real tmp75;
  62           fftw_real tmp78;
  63           fftw_real tmp113;
  64           fftw_real tmp89;
  65           fftw_real tmp90;
  66           fftw_real tmp96;
  67           fftw_real tmp18;
  68           fftw_real tmp29;
  69           fftw_real tmp30;
  70           fftw_real tmp56;
  71           fftw_real tmp57;
  72           fftw_real tmp58;
  73           fftw_real tmp68;
  74           fftw_real tmp71;
  75           fftw_real tmp112;
  76           fftw_real tmp86;
  77           fftw_real tmp87;
  78           fftw_real tmp95;
  79           ASSERT_ALIGNED_DOUBLE();
  80           {
  81                fftw_real tmp1;
  82                fftw_real tmp99;
  83                fftw_real tmp6;
  84                fftw_real tmp98;
  85                ASSERT_ALIGNED_DOUBLE();
  86                tmp1 = c_re(inout[0]);
  87                tmp99 = c_im(inout[0]);
  88                {
  89                     fftw_real tmp3;
  90                     fftw_real tmp5;
  91                     fftw_real tmp2;
  92                     fftw_real tmp4;
  93                     ASSERT_ALIGNED_DOUBLE();
  94                     tmp3 = c_re(inout[5 * iostride]);
  95                     tmp5 = c_im(inout[5 * iostride]);
  96                     tmp2 = c_re(W[4]);
  97                     tmp4 = c_im(W[4]);
  98                     tmp6 = (tmp2 * tmp3) + (tmp4 * tmp5);
  99                     tmp98 = (tmp2 * tmp5) - (tmp4 * tmp3);
 100                }
 101                tmp7 = tmp1 - tmp6;
 102                tmp55 = tmp1 + tmp6;
 103                tmp100 = tmp98 + tmp99;
 104                tmp115 = tmp99 - tmp98;
 105           }
 106           {
 107                fftw_real tmp35;
 108                fftw_real tmp73;
 109                fftw_real tmp51;
 110                fftw_real tmp77;
 111                fftw_real tmp40;
 112                fftw_real tmp74;
 113                fftw_real tmp46;
 114                fftw_real tmp76;
 115                ASSERT_ALIGNED_DOUBLE();
 116                {
 117                     fftw_real tmp32;
 118                     fftw_real tmp34;
 119                     fftw_real tmp31;
 120                     fftw_real tmp33;
 121                     ASSERT_ALIGNED_DOUBLE();
 122                     tmp32 = c_re(inout[4 * iostride]);
 123                     tmp34 = c_im(inout[4 * iostride]);
 124                     tmp31 = c_re(W[3]);
 125                     tmp33 = c_im(W[3]);
 126                     tmp35 = (tmp31 * tmp32) + (tmp33 * tmp34);
 127                     tmp73 = (tmp31 * tmp34) - (tmp33 * tmp32);
 128                }
 129                {
 130                     fftw_real tmp48;
 131                     fftw_real tmp50;
 132                     fftw_real tmp47;
 133                     fftw_real tmp49;
 134                     ASSERT_ALIGNED_DOUBLE();
 135                     tmp48 = c_re(inout[iostride]);
 136                     tmp50 = c_im(inout[iostride]);
 137                     tmp47 = c_re(W[0]);
 138                     tmp49 = c_im(W[0]);
 139                     tmp51 = (tmp47 * tmp48) + (tmp49 * tmp50);
 140                     tmp77 = (tmp47 * tmp50) - (tmp49 * tmp48);
 141                }
 142                {
 143                     fftw_real tmp37;
 144                     fftw_real tmp39;
 145                     fftw_real tmp36;
 146                     fftw_real tmp38;
 147                     ASSERT_ALIGNED_DOUBLE();
 148                     tmp37 = c_re(inout[9 * iostride]);
 149                     tmp39 = c_im(inout[9 * iostride]);
 150                     tmp36 = c_re(W[8]);
 151                     tmp38 = c_im(W[8]);
 152                     tmp40 = (tmp36 * tmp37) + (tmp38 * tmp39);
 153                     tmp74 = (tmp36 * tmp39) - (tmp38 * tmp37);
 154                }
 155                {
 156                     fftw_real tmp43;
 157                     fftw_real tmp45;
 158                     fftw_real tmp42;
 159                     fftw_real tmp44;
 160                     ASSERT_ALIGNED_DOUBLE();
 161                     tmp43 = c_re(inout[6 * iostride]);
 162                     tmp45 = c_im(inout[6 * iostride]);
 163                     tmp42 = c_re(W[5]);
 164                     tmp44 = c_im(W[5]);
 165                     tmp46 = (tmp42 * tmp43) + (tmp44 * tmp45);
 166                     tmp76 = (tmp42 * tmp45) - (tmp44 * tmp43);
 167                }
 168                tmp41 = tmp35 - tmp40;
 169                tmp52 = tmp46 - tmp51;
 170                tmp53 = tmp41 + tmp52;
 171                tmp59 = tmp35 + tmp40;
 172                tmp60 = tmp46 + tmp51;
 173                tmp61 = tmp59 + tmp60;
 174                tmp75 = tmp73 - tmp74;
 175                tmp78 = tmp76 - tmp77;
 176                tmp113 = tmp75 + tmp78;
 177                tmp89 = tmp73 + tmp74;
 178                tmp90 = tmp76 + tmp77;
 179                tmp96 = tmp89 + tmp90;
 180           }
 181           {
 182                fftw_real tmp12;
 183                fftw_real tmp66;
 184                fftw_real tmp28;
 185                fftw_real tmp70;
 186                fftw_real tmp17;
 187                fftw_real tmp67;
 188                fftw_real tmp23;
 189                fftw_real tmp69;
 190                ASSERT_ALIGNED_DOUBLE();
 191                {
 192                     fftw_real tmp9;
 193                     fftw_real tmp11;
 194                     fftw_real tmp8;
 195                     fftw_real tmp10;
 196                     ASSERT_ALIGNED_DOUBLE();
 197                     tmp9 = c_re(inout[2 * iostride]);
 198                     tmp11 = c_im(inout[2 * iostride]);
 199                     tmp8 = c_re(W[1]);
 200                     tmp10 = c_im(W[1]);
 201                     tmp12 = (tmp8 * tmp9) + (tmp10 * tmp11);
 202                     tmp66 = (tmp8 * tmp11) - (tmp10 * tmp9);
 203                }
 204                {
 205                     fftw_real tmp25;
 206                     fftw_real tmp27;
 207                     fftw_real tmp24;
 208                     fftw_real tmp26;
 209                     ASSERT_ALIGNED_DOUBLE();
 210                     tmp25 = c_re(inout[3 * iostride]);
 211                     tmp27 = c_im(inout[3 * iostride]);
 212                     tmp24 = c_re(W[2]);
 213                     tmp26 = c_im(W[2]);
 214                     tmp28 = (tmp24 * tmp25) + (tmp26 * tmp27);
 215                     tmp70 = (tmp24 * tmp27) - (tmp26 * tmp25);
 216                }
 217                {
 218                     fftw_real tmp14;
 219                     fftw_real tmp16;
 220                     fftw_real tmp13;
 221                     fftw_real tmp15;
 222                     ASSERT_ALIGNED_DOUBLE();
 223                     tmp14 = c_re(inout[7 * iostride]);
 224                     tmp16 = c_im(inout[7 * iostride]);
 225                     tmp13 = c_re(W[6]);
 226                     tmp15 = c_im(W[6]);
 227                     tmp17 = (tmp13 * tmp14) + (tmp15 * tmp16);
 228                     tmp67 = (tmp13 * tmp16) - (tmp15 * tmp14);
 229                }
 230                {
 231                     fftw_real tmp20;
 232                     fftw_real tmp22;
 233                     fftw_real tmp19;
 234                     fftw_real tmp21;
 235                     ASSERT_ALIGNED_DOUBLE();
 236                     tmp20 = c_re(inout[8 * iostride]);
 237                     tmp22 = c_im(inout[8 * iostride]);
 238                     tmp19 = c_re(W[7]);
 239                     tmp21 = c_im(W[7]);
 240                     tmp23 = (tmp19 * tmp20) + (tmp21 * tmp22);
 241                     tmp69 = (tmp19 * tmp22) - (tmp21 * tmp20);
 242                }
 243                tmp18 = tmp12 - tmp17;
 244                tmp29 = tmp23 - tmp28;
 245                tmp30 = tmp18 + tmp29;
 246                tmp56 = tmp12 + tmp17;
 247                tmp57 = tmp23 + tmp28;
 248                tmp58 = tmp56 + tmp57;
 249                tmp68 = tmp66 - tmp67;
 250                tmp71 = tmp69 - tmp70;
 251                tmp112 = tmp68 + tmp71;
 252                tmp86 = tmp66 + tmp67;
 253                tmp87 = tmp69 + tmp70;
 254                tmp95 = tmp86 + tmp87;
 255           }
 256           {
 257                fftw_real tmp64;
 258                fftw_real tmp54;
 259                fftw_real tmp63;
 260                fftw_real tmp80;
 261                fftw_real tmp82;
 262                fftw_real tmp72;
 263                fftw_real tmp79;
 264                fftw_real tmp81;
 265                fftw_real tmp65;
 266                ASSERT_ALIGNED_DOUBLE();
 267                tmp64 = K559016994 * (tmp30 - tmp53);
 268                tmp54 = tmp30 + tmp53;
 269                tmp63 = tmp7 - (K250000000 * tmp54);
 270                tmp72 = tmp68 - tmp71;
 271                tmp79 = tmp75 - tmp78;
 272                tmp80 = (K587785252 * tmp72) - (K951056516 * tmp79);
 273                tmp82 = (K951056516 * tmp72) + (K587785252 * tmp79);
 274                c_re(inout[5 * iostride]) = tmp7 + tmp54;
 275                tmp81 = tmp64 + tmp63;
 276                c_re(inout[iostride]) = tmp81 - tmp82;
 277                c_re(inout[9 * iostride]) = tmp81 + tmp82;
 278                tmp65 = tmp63 - tmp64;
 279                c_re(inout[7 * iostride]) = tmp65 - tmp80;
 280                c_re(inout[3 * iostride]) = tmp65 + tmp80;
 281           }
 282           {
 283                fftw_real tmp114;
 284                fftw_real tmp116;
 285                fftw_real tmp117;
 286                fftw_real tmp111;
 287                fftw_real tmp120;
 288                fftw_real tmp109;
 289                fftw_real tmp110;
 290                fftw_real tmp119;
 291                fftw_real tmp118;
 292                ASSERT_ALIGNED_DOUBLE();
 293                tmp114 = K559016994 * (tmp112 - tmp113);
 294                tmp116 = tmp112 + tmp113;
 295                tmp117 = tmp115 - (K250000000 * tmp116);
 296                tmp109 = tmp18 - tmp29;
 297                tmp110 = tmp41 - tmp52;
 298                tmp111 = (K951056516 * tmp109) + (K587785252 * tmp110);
 299                tmp120 = (K587785252 * tmp109) - (K951056516 * tmp110);
 300                c_im(inout[5 * iostride]) = tmp116 + tmp115;
 301                tmp119 = tmp117 - tmp114;
 302                c_im(inout[3 * iostride]) = tmp119 - tmp120;
 303                c_im(inout[7 * iostride]) = tmp120 + tmp119;
 304                tmp118 = tmp114 + tmp117;
 305                c_im(inout[iostride]) = tmp111 + tmp118;
 306                c_im(inout[9 * iostride]) = tmp118 - tmp111;
 307           }
 308           {
 309                fftw_real tmp84;
 310                fftw_real tmp62;
 311                fftw_real tmp83;
 312                fftw_real tmp92;
 313                fftw_real tmp94;
 314                fftw_real tmp88;
 315                fftw_real tmp91;
 316                fftw_real tmp93;
 317                fftw_real tmp85;
 318                ASSERT_ALIGNED_DOUBLE();
 319                tmp84 = K559016994 * (tmp58 - tmp61);
 320                tmp62 = tmp58 + tmp61;
 321                tmp83 = tmp55 - (K250000000 * tmp62);
 322                tmp88 = tmp86 - tmp87;
 323                tmp91 = tmp89 - tmp90;
 324                tmp92 = (K587785252 * tmp88) - (K951056516 * tmp91);
 325                tmp94 = (K951056516 * tmp88) + (K587785252 * tmp91);
 326                c_re(inout[0]) = tmp55 + tmp62;
 327                tmp93 = tmp84 + tmp83;
 328                c_re(inout[6 * iostride]) = tmp93 - tmp94;
 329                c_re(inout[4 * iostride]) = tmp93 + tmp94;
 330                tmp85 = tmp83 - tmp84;
 331                c_re(inout[2 * iostride]) = tmp85 - tmp92;
 332                c_re(inout[8 * iostride]) = tmp85 + tmp92;
 333           }
 334           {
 335                fftw_real tmp105;
 336                fftw_real tmp97;
 337                fftw_real tmp104;
 338                fftw_real tmp103;
 339                fftw_real tmp108;
 340                fftw_real tmp101;
 341                fftw_real tmp102;
 342                fftw_real tmp107;
 343                fftw_real tmp106;
 344                ASSERT_ALIGNED_DOUBLE();
 345                tmp105 = K559016994 * (tmp95 - tmp96);
 346                tmp97 = tmp95 + tmp96;
 347                tmp104 = tmp100 - (K250000000 * tmp97);
 348                tmp101 = tmp56 - tmp57;
 349                tmp102 = tmp59 - tmp60;
 350                tmp103 = (K587785252 * tmp101) - (K951056516 * tmp102);
 351                tmp108 = (K951056516 * tmp101) + (K587785252 * tmp102);
 352                c_im(inout[0]) = tmp97 + tmp100;
 353                tmp107 = tmp105 + tmp104;
 354                c_im(inout[4 * iostride]) = tmp107 - tmp108;
 355                c_im(inout[6 * iostride]) = tmp108 + tmp107;
 356                tmp106 = tmp104 - tmp105;
 357                c_im(inout[2 * iostride]) = tmp103 + tmp106;
 358                c_im(inout[8 * iostride]) = tmp106 - tmp103;
 359           }
 360      }
 361 }
 362
 363 static const int twiddle_order[] =
 364 {1, 2, 3, 4, 5, 6, 7, 8, 9};
 365 fftw_codelet_desc fftwi_twiddle_10_desc =
 366 {
 367      "fftwi_twiddle_10",
 368      (void (*)()) fftwi_twiddle_10,
 369      10,
 370      FFTW_BACKWARD,
 371      FFTW_TWIDDLE,
 372      231,
 373      9,
 374      twiddle_order,
 375 };