src/fftw/fn_13.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 13:54:28 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 -notwiddle 13 */
  27
  28 /*
  29  * This function contains 176 FP additions, 68 FP multiplications,
  30  * (or, 138 additions, 30 multiplications, 38 fused multiply/add),
  31  * 50 stack variables, and 52 memory accesses
  32  */
  33 static const fftw_real K1_732050807 = FFTW_KONST(+1.732050807568877293527446341505872366942805254);
  34 static const fftw_real K256247671 = FFTW_KONST(+0.256247671582936600958684654061725059144125175);
  35 static const fftw_real K156891391 = FFTW_KONST(+0.156891391051584611046832726756003269660212636);
  36 static const fftw_real K300238635 = FFTW_KONST(+0.300238635966332641462884626667381504676006424);
  37 static const fftw_real K011599105 = FFTW_KONST(+0.011599105605768290721655456654083252189827041);
  38 static const fftw_real K174138601 = FFTW_KONST(+0.174138601152135905005660794929264742616964676);
  39 static const fftw_real K575140729 = FFTW_KONST(+0.575140729474003121368385547455453388461001608);
  40 static const fftw_real K2_000000000 = FFTW_KONST(+2.000000000000000000000000000000000000000000000);
  41 static const fftw_real K083333333 = FFTW_KONST(+0.083333333333333333333333333333333333333333333);
  42 static const fftw_real K075902986 = FFTW_KONST(+0.075902986037193865983102897245103540356428373);
  43 static const fftw_real K251768516 = FFTW_KONST(+0.251768516431883313623436926934233488546674281);
  44 static const fftw_real K258260390 = FFTW_KONST(+0.258260390311744861420450644284508567852516811);
  45 static const fftw_real K132983124 = FFTW_KONST(+0.132983124607418643793760531921092974399165133);
  46 static const fftw_real K265966249 = FFTW_KONST(+0.265966249214837287587521063842185948798330267);
  47 static const fftw_real K387390585 = FFTW_KONST(+0.387390585467617292130675966426762851778775217);
  48 static const fftw_real K503537032 = FFTW_KONST(+0.503537032863766627246873853868466977093348562);
  49 static const fftw_real K113854479 = FFTW_KONST(+0.113854479055790798974654345867655310534642560);
  50 static const fftw_real K300462606 = FFTW_KONST(+0.300462606288665774426601772289207995520941381);
  51 static const fftw_real K866025403 = FFTW_KONST(+0.866025403784438646763723170752936183471402627);
  52 static const fftw_real K500000000 = FFTW_KONST(+0.500000000000000000000000000000000000000000000);
  53
  54 /*
  55  * Generator Id's :
  56  * $Id$
  57  * $Id$
  58  * $Id$
  59  */
  60
  61 void fftw_no_twiddle_13(const fftw_complex *input, fftw_complex *output, int istride, int ostride)
  62 {
  63      fftw_real tmp1;
  64      fftw_real tmp88;
  65      fftw_real tmp29;
  66      fftw_real tmp36;
  67      fftw_real tmp43;
  68      fftw_real tmp121;
  69      fftw_real tmp128;
  70      fftw_real tmp30;
  71      fftw_real tmp24;
  72      fftw_real tmp131;
  73      fftw_real tmp124;
  74      fftw_real tmp129;
  75      fftw_real tmp41;
  76      fftw_real tmp44;
  77      fftw_real tmp134;
  78      fftw_real tmp83;
  79      fftw_real tmp89;
  80      fftw_real tmp70;
  81      fftw_real tmp85;
  82      fftw_real tmp137;
  83      fftw_real tmp141;
  84      fftw_real tmp146;
  85      fftw_real tmp77;
  86      fftw_real tmp86;
  87      fftw_real tmp144;
  88      fftw_real tmp147;
  89      ASSERT_ALIGNED_DOUBLE();
  90      tmp1 = c_re(input[0]);
  91      tmp88 = c_im(input[0]);
  92      {
  93           fftw_real tmp15;
  94           fftw_real tmp25;
  95           fftw_real tmp18;
  96           fftw_real tmp26;
  97           fftw_real tmp21;
  98           fftw_real tmp27;
  99           fftw_real tmp22;
 100           fftw_real tmp28;
 101           fftw_real tmp6;
 102           fftw_real tmp37;
 103           fftw_real tmp33;
 104           fftw_real tmp11;
 105           fftw_real tmp38;
 106           fftw_real tmp34;
 107           fftw_real tmp13;
 108           fftw_real tmp14;
 109           fftw_real tmp12;
 110           fftw_real tmp23;
 111           ASSERT_ALIGNED_DOUBLE();
 112           tmp13 = c_re(input[8 * istride]);
 113           tmp14 = c_re(input[5 * istride]);
 114           tmp15 = tmp13 + tmp14;
 115           tmp25 = tmp13 - tmp14;
 116           {
 117                fftw_real tmp16;
 118                fftw_real tmp17;
 119                fftw_real tmp19;
 120                fftw_real tmp20;
 121                ASSERT_ALIGNED_DOUBLE();
 122                tmp16 = c_re(input[6 * istride]);
 123                tmp17 = c_re(input[11 * istride]);
 124                tmp18 = tmp16 + tmp17;
 125                tmp26 = tmp16 - tmp17;
 126                tmp19 = c_re(input[2 * istride]);
 127                tmp20 = c_re(input[7 * istride]);
 128                tmp21 = tmp19 + tmp20;
 129                tmp27 = tmp19 - tmp20;
 130           }
 131           tmp22 = tmp18 + tmp21;
 132           tmp28 = tmp26 + tmp27;
 133           {
 134                fftw_real tmp2;
 135                fftw_real tmp3;
 136                fftw_real tmp4;
 137                fftw_real tmp5;
 138                ASSERT_ALIGNED_DOUBLE();
 139                tmp2 = c_re(input[istride]);
 140                tmp3 = c_re(input[3 * istride]);
 141                tmp4 = c_re(input[9 * istride]);
 142                tmp5 = tmp3 + tmp4;
 143                tmp6 = tmp2 + tmp5;
 144                tmp37 = tmp2 - (K500000000 * tmp5);
 145                tmp33 = tmp3 - tmp4;
 146           }
 147           {
 148                fftw_real tmp7;
 149                fftw_real tmp8;
 150                fftw_real tmp9;
 151                fftw_real tmp10;
 152                ASSERT_ALIGNED_DOUBLE();
 153                tmp7 = c_re(input[12 * istride]);
 154                tmp8 = c_re(input[4 * istride]);
 155                tmp9 = c_re(input[10 * istride]);
 156                tmp10 = tmp8 + tmp9;
 157                tmp11 = tmp7 + tmp10;
 158                tmp38 = tmp7 - (K500000000 * tmp10);
 159                tmp34 = tmp8 - tmp9;
 160           }
 161           tmp29 = tmp25 - tmp28;
 162           {
 163                fftw_real tmp32;
 164                fftw_real tmp35;
 165                fftw_real tmp119;
 166                fftw_real tmp120;
 167                ASSERT_ALIGNED_DOUBLE();
 168                tmp32 = tmp25 + (K500000000 * tmp28);
 169                tmp35 = K866025403 * (tmp33 + tmp34);
 170                tmp36 = tmp32 - tmp35;
 171                tmp43 = tmp35 + tmp32;
 172                tmp119 = tmp33 - tmp34;
 173                tmp120 = tmp27 - tmp26;
 174                tmp121 = tmp119 + tmp120;
 175                tmp128 = tmp120 - tmp119;
 176           }
 177           tmp30 = tmp6 - tmp11;
 178           tmp12 = tmp6 + tmp11;
 179           tmp23 = tmp15 + tmp22;
 180           tmp24 = tmp12 + tmp23;
 181           tmp131 = K300462606 * (tmp12 - tmp23);
 182           {
 183                fftw_real tmp122;
 184                fftw_real tmp123;
 185                fftw_real tmp39;
 186                fftw_real tmp40;
 187                ASSERT_ALIGNED_DOUBLE();
 188                tmp122 = tmp37 + tmp38;
 189                tmp123 = tmp15 - (K500000000 * tmp22);
 190                tmp124 = tmp122 + tmp123;
 191                tmp129 = tmp122 - tmp123;
 192                tmp39 = tmp37 - tmp38;
 193                tmp40 = K866025403 * (tmp18 - tmp21);
 194                tmp41 = tmp39 + tmp40;
 195                tmp44 = tmp39 - tmp40;
 196           }
 197      }
 198      {
 199           fftw_real tmp61;
 200           fftw_real tmp135;
 201           fftw_real tmp64;
 202           fftw_real tmp71;
 203           fftw_real tmp67;
 204           fftw_real tmp72;
 205           fftw_real tmp68;
 206           fftw_real tmp136;
 207           fftw_real tmp52;
 208           fftw_real tmp79;
 209           fftw_real tmp75;
 210           fftw_real tmp57;
 211           fftw_real tmp80;
 212           fftw_real tmp74;
 213           fftw_real tmp59;
 214           fftw_real tmp60;
 215           fftw_real tmp139;
 216           fftw_real tmp140;
 217           ASSERT_ALIGNED_DOUBLE();
 218           tmp59 = c_im(input[8 * istride]);
 219           tmp60 = c_im(input[5 * istride]);
 220           tmp61 = tmp59 + tmp60;
 221           tmp135 = tmp59 - tmp60;
 222           {
 223                fftw_real tmp62;
 224                fftw_real tmp63;
 225                fftw_real tmp65;
 226                fftw_real tmp66;
 227                ASSERT_ALIGNED_DOUBLE();
 228                tmp62 = c_im(input[6 * istride]);
 229                tmp63 = c_im(input[11 * istride]);
 230                tmp64 = tmp62 + tmp63;
 231                tmp71 = tmp62 - tmp63;
 232                tmp65 = c_im(input[2 * istride]);
 233                tmp66 = c_im(input[7 * istride]);
 234                tmp67 = tmp65 + tmp66;
 235                tmp72 = tmp65 - tmp66;
 236           }
 237           tmp68 = tmp64 + tmp67;
 238           tmp136 = tmp71 + tmp72;
 239           {
 240                fftw_real tmp48;
 241                fftw_real tmp49;
 242                fftw_real tmp50;
 243                fftw_real tmp51;
 244                ASSERT_ALIGNED_DOUBLE();
 245                tmp48 = c_im(input[istride]);
 246                tmp49 = c_im(input[3 * istride]);
 247                tmp50 = c_im(input[9 * istride]);
 248                tmp51 = tmp49 + tmp50;
 249                tmp52 = tmp48 - (K500000000 * tmp51);
 250                tmp79 = tmp48 + tmp51;
 251                tmp75 = tmp49 - tmp50;
 252           }
 253           {
 254                fftw_real tmp53;
 255                fftw_real tmp54;
 256                fftw_real tmp55;
 257                fftw_real tmp56;
 258                ASSERT_ALIGNED_DOUBLE();
 259                tmp53 = c_im(input[12 * istride]);
 260                tmp54 = c_im(input[4 * istride]);
 261                tmp55 = c_im(input[10 * istride]);
 262                tmp56 = tmp54 + tmp55;
 263                tmp57 = tmp53 - (K500000000 * tmp56);
 264                tmp80 = tmp53 + tmp56;
 265                tmp74 = tmp54 - tmp55;
 266           }
 267           tmp134 = tmp79 - tmp80;
 268           {
 269                fftw_real tmp81;
 270                fftw_real tmp82;
 271                fftw_real tmp58;
 272                fftw_real tmp69;
 273                ASSERT_ALIGNED_DOUBLE();
 274                tmp81 = tmp79 + tmp80;
 275                tmp82 = tmp61 + tmp68;
 276                tmp83 = K300462606 * (tmp81 - tmp82);
 277                tmp89 = tmp81 + tmp82;
 278                tmp58 = tmp52 + tmp57;
 279                tmp69 = tmp61 - (K500000000 * tmp68);
 280                tmp70 = tmp58 - tmp69;
 281                tmp85 = tmp58 + tmp69;
 282           }
 283           tmp137 = tmp135 - tmp136;
 284           tmp139 = K866025403 * (tmp75 + tmp74);
 285           tmp140 = tmp135 + (K500000000 * tmp136);
 286           tmp141 = tmp139 - tmp140;
 287           tmp146 = tmp139 + tmp140;
 288           {
 289                fftw_real tmp73;
 290                fftw_real tmp76;
 291                fftw_real tmp142;
 292                fftw_real tmp143;
 293                ASSERT_ALIGNED_DOUBLE();
 294                tmp73 = tmp71 - tmp72;
 295                tmp76 = tmp74 - tmp75;
 296                tmp77 = tmp73 - tmp76;
 297                tmp86 = tmp76 + tmp73;
 298                tmp142 = tmp52 - tmp57;
 299                tmp143 = K866025403 * (tmp67 - tmp64);
 300                tmp144 = tmp142 - tmp143;
 301                tmp147 = tmp142 + tmp143;
 302           }
 303      }
 304      c_re(output[0]) = tmp1 + tmp24;
 305      {
 306           fftw_real tmp163;
 307           fftw_real tmp173;
 308           fftw_real tmp127;
 309           fftw_real tmp169;
 310           fftw_real tmp153;
 311           fftw_real tmp132;
 312           fftw_real tmp138;
 313           fftw_real tmp149;
 314           fftw_real tmp160;
 315           fftw_real tmp172;
 316           fftw_real tmp154;
 317           fftw_real tmp157;
 318           fftw_real tmp158;
 319           fftw_real tmp170;
 320           fftw_real tmp161;
 321           fftw_real tmp162;
 322           ASSERT_ALIGNED_DOUBLE();
 323           tmp161 = (K113854479 * tmp121) - (K503537032 * tmp124);
 324           tmp162 = (K387390585 * tmp128) - (K265966249 * tmp129);
 325           tmp163 = tmp161 - tmp162;
 326           tmp173 = tmp162 + tmp161;
 327           {
 328                fftw_real tmp130;
 329                fftw_real tmp151;
 330                fftw_real tmp125;
 331                fftw_real tmp126;
 332                fftw_real tmp152;
 333                ASSERT_ALIGNED_DOUBLE();
 334                tmp130 = (K132983124 * tmp128) + (K258260390 * tmp129);
 335                tmp151 = tmp131 - tmp130;
 336                tmp125 = (K251768516 * tmp121) + (K075902986 * tmp124);
 337                tmp126 = tmp1 - (K083333333 * tmp24);
 338                tmp152 = tmp126 - tmp125;
 339                tmp127 = (K2_000000000 * tmp125) + tmp126;
 340                tmp169 = tmp152 - tmp151;
 341                tmp153 = tmp151 + tmp152;
 342                tmp132 = (K2_000000000 * tmp130) + tmp131;
 343           }
 344           {
 345                fftw_real tmp145;
 346                fftw_real tmp148;
 347                fftw_real tmp155;
 348                fftw_real tmp156;
 349                ASSERT_ALIGNED_DOUBLE();
 350                tmp138 = (K575140729 * tmp134) + (K174138601 * tmp137);
 351                tmp145 = (K011599105 * tmp141) + (K300238635 * tmp144);
 352                tmp148 = (K156891391 * tmp146) - (K256247671 * tmp147);
 353                tmp149 = tmp145 + tmp148;
 354                tmp160 = K1_732050807 * (tmp148 - tmp145);
 355                tmp172 = tmp149 - tmp138;
 356                tmp154 = (K174138601 * tmp134) - (K575140729 * tmp137);
 357                tmp155 = (K300238635 * tmp141) - (K011599105 * tmp144);
 358                tmp156 = (K256247671 * tmp146) + (K156891391 * tmp147);
 359                tmp157 = tmp155 + tmp156;
 360                tmp158 = tmp154 - tmp157;
 361                tmp170 = K1_732050807 * (tmp156 - tmp155);
 362           }
 363           {
 364                fftw_real tmp133;
 365                fftw_real tmp150;
 366                fftw_real tmp165;
 367                fftw_real tmp166;
 368                ASSERT_ALIGNED_DOUBLE();
 369                tmp133 = tmp127 - tmp132;
 370                tmp150 = tmp138 + (K2_000000000 * tmp149);
 371                c_re(output[8 * ostride]) = tmp133 - tmp150;
 372                c_re(output[5 * ostride]) = tmp133 + tmp150;
 373                {
 374                     fftw_real tmp167;
 375                     fftw_real tmp168;
 376                     fftw_real tmp159;
 377                     fftw_real tmp164;
 378                     ASSERT_ALIGNED_DOUBLE();
 379                     tmp167 = tmp132 + tmp127;
 380                     tmp168 = tmp154 + (K2_000000000 * tmp157);
 381                     c_re(output[12 * ostride]) = tmp167 - tmp168;
 382                     c_re(output[ostride]) = tmp167 + tmp168;
 383                     tmp159 = tmp153 - tmp158;
 384                     tmp164 = tmp160 - tmp163;
 385                     c_re(output[4 * ostride]) = tmp159 - tmp164;
 386                     c_re(output[10 * ostride]) = tmp164 + tmp159;
 387                }
 388                tmp165 = tmp153 + tmp158;
 389                tmp166 = tmp163 + tmp160;
 390                c_re(output[3 * ostride]) = tmp165 - tmp166;
 391                c_re(output[9 * ostride]) = tmp166 + tmp165;
 392                {
 393                     fftw_real tmp175;
 394                     fftw_real tmp176;
 395                     fftw_real tmp171;
 396                     fftw_real tmp174;
 397                     ASSERT_ALIGNED_DOUBLE();
 398                     tmp175 = tmp169 + tmp170;
 399                     tmp176 = tmp173 + tmp172;
 400                     c_re(output[2 * ostride]) = tmp175 - tmp176;
 401                     c_re(output[7 * ostride]) = tmp176 + tmp175;
 402                     tmp171 = tmp169 - tmp170;
 403                     tmp174 = tmp172 - tmp173;
 404                     c_re(output[6 * ostride]) = tmp171 - tmp174;
 405                     c_re(output[11 * ostride]) = tmp174 + tmp171;
 406                }
 407           }
 408      }
 409      c_im(output[0]) = tmp88 + tmp89;
 410      {
 411           fftw_real tmp102;
 412           fftw_real tmp115;
 413           fftw_real tmp84;
 414           fftw_real tmp112;
 415           fftw_real tmp106;
 416           fftw_real tmp91;
 417           fftw_real tmp31;
 418           fftw_real tmp46;
 419           fftw_real tmp107;
 420           fftw_real tmp111;
 421           fftw_real tmp94;
 422           fftw_real tmp97;
 423           fftw_real tmp99;
 424           fftw_real tmp114;
 425           fftw_real tmp100;
 426           fftw_real tmp101;
 427           ASSERT_ALIGNED_DOUBLE();
 428           tmp100 = (K387390585 * tmp77) + (K265966249 * tmp70);
 429           tmp101 = (K113854479 * tmp86) + (K503537032 * tmp85);
 430           tmp102 = tmp100 + tmp101;
 431           tmp115 = tmp100 - tmp101;
 432           {
 433                fftw_real tmp78;
 434                fftw_real tmp105;
 435                fftw_real tmp87;
 436                fftw_real tmp90;
 437                fftw_real tmp104;
 438                ASSERT_ALIGNED_DOUBLE();
 439                tmp78 = (K258260390 * tmp70) - (K132983124 * tmp77);
 440                tmp105 = tmp83 - tmp78;
 441                tmp87 = (K075902986 * tmp85) - (K251768516 * tmp86);
 442                tmp90 = tmp88 - (K083333333 * tmp89);
 443                tmp104 = tmp90 - tmp87;
 444                tmp84 = (K2_000000000 * tmp78) + tmp83;
 445                tmp112 = tmp105 + tmp104;
 446                tmp106 = tmp104 - tmp105;
 447                tmp91 = (K2_000000000 * tmp87) + tmp90;
 448           }
 449           {
 450                fftw_real tmp42;
 451                fftw_real tmp45;
 452                fftw_real tmp95;
 453                fftw_real tmp96;
 454                ASSERT_ALIGNED_DOUBLE();
 455                tmp31 = (K575140729 * tmp29) - (K174138601 * tmp30);
 456                tmp42 = (K300238635 * tmp36) + (K011599105 * tmp41);
 457                tmp45 = (K256247671 * tmp43) + (K156891391 * tmp44);
 458                tmp46 = tmp42 - tmp45;
 459                tmp107 = K1_732050807 * (tmp45 + tmp42);
 460                tmp111 = tmp31 - tmp46;
 461                tmp94 = (K575140729 * tmp30) + (K174138601 * tmp29);
 462                tmp95 = (K156891391 * tmp43) - (K256247671 * tmp44);
 463                tmp96 = (K300238635 * tmp41) - (K011599105 * tmp36);
 464                tmp97 = tmp95 + tmp96;
 465                tmp99 = tmp97 - tmp94;
 466                tmp114 = K1_732050807 * (tmp96 - tmp95);
 467           }
 468           {
 469                fftw_real tmp47;
 470                fftw_real tmp92;
 471                fftw_real tmp109;
 472                fftw_real tmp110;
 473                ASSERT_ALIGNED_DOUBLE();
 474                tmp47 = tmp31 + (K2_000000000 * tmp46);
 475                tmp92 = tmp84 + tmp91;
 476                c_im(output[ostride]) = tmp47 + tmp92;
 477                c_im(output[12 * ostride]) = tmp92 - tmp47;
 478                {
 479                     fftw_real tmp93;
 480                     fftw_real tmp98;
 481                     fftw_real tmp103;
 482                     fftw_real tmp108;
 483                     ASSERT_ALIGNED_DOUBLE();
 484                     tmp93 = tmp91 - tmp84;
 485                     tmp98 = tmp94 + (K2_000000000 * tmp97);
 486                     c_im(output[5 * ostride]) = tmp93 - tmp98;
 487                     c_im(output[8 * ostride]) = tmp98 + tmp93;
 488                     tmp103 = tmp99 + tmp102;
 489                     tmp108 = tmp106 - tmp107;
 490                     c_im(output[2 * ostride]) = tmp103 + tmp108;
 491                     c_im(output[7 * ostride]) = tmp108 - tmp103;
 492                }
 493                tmp109 = tmp107 + tmp106;
 494                tmp110 = tmp102 - tmp99;
 495                c_im(output[6 * ostride]) = tmp109 - tmp110;
 496                c_im(output[11 * ostride]) = tmp110 + tmp109;
 497                {
 498                     fftw_real tmp117;
 499                     fftw_real tmp118;
 500                     fftw_real tmp113;
 501                     fftw_real tmp116;
 502                     ASSERT_ALIGNED_DOUBLE();
 503                     tmp117 = tmp112 - tmp111;
 504                     tmp118 = tmp114 - tmp115;
 505                     c_im(output[4 * ostride]) = tmp117 - tmp118;
 506                     c_im(output[10 * ostride]) = tmp118 + tmp117;
 507                     tmp113 = tmp111 + tmp112;
 508                     tmp116 = tmp114 + tmp115;
 509                     c_im(output[3 * ostride]) = tmp113 - tmp116;
 510                     c_im(output[9 * ostride]) = tmp116 + tmp113;
 511                }
 512           }
 513      }
 514 }
 515
 516 fftw_codelet_desc fftw_no_twiddle_13_desc =
 517 {
 518      "fftw_no_twiddle_13",
 519      (void (*)()) fftw_no_twiddle_13,
 520      13,
 521      FFTW_FORWARD,
 522      FFTW_NOTW,
 523      287,
 524      0,
 525      (const int *) 0,
 526 };