annotate src/fftw-3.3.3/rdft/scalar/r2cb/hc2cb_8.c @ 95:89f5e221ed7b

Add FFTW3
author Chris Cannam <cannam@all-day-breakfast.com>
date Wed, 20 Mar 2013 15:35:50 +0000
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cannam@95 1 /*
cannam@95 2 * Copyright (c) 2003, 2007-11 Matteo Frigo
cannam@95 3 * Copyright (c) 2003, 2007-11 Massachusetts Institute of Technology
cannam@95 4 *
cannam@95 5 * This program is free software; you can redistribute it and/or modify
cannam@95 6 * it under the terms of the GNU General Public License as published by
cannam@95 7 * the Free Software Foundation; either version 2 of the License, or
cannam@95 8 * (at your option) any later version.
cannam@95 9 *
cannam@95 10 * This program is distributed in the hope that it will be useful,
cannam@95 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
cannam@95 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
cannam@95 13 * GNU General Public License for more details.
cannam@95 14 *
cannam@95 15 * You should have received a copy of the GNU General Public License
cannam@95 16 * along with this program; if not, write to the Free Software
cannam@95 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
cannam@95 18 *
cannam@95 19 */
cannam@95 20
cannam@95 21 /* This file was automatically generated --- DO NOT EDIT */
cannam@95 22 /* Generated on Sun Nov 25 07:41:52 EST 2012 */
cannam@95 23
cannam@95 24 #include "codelet-rdft.h"
cannam@95 25
cannam@95 26 #ifdef HAVE_FMA
cannam@95 27
cannam@95 28 /* Generated by: ../../../genfft/gen_hc2c.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -n 8 -dif -name hc2cb_8 -include hc2cb.h */
cannam@95 29
cannam@95 30 /*
cannam@95 31 * This function contains 66 FP additions, 36 FP multiplications,
cannam@95 32 * (or, 44 additions, 14 multiplications, 22 fused multiply/add),
cannam@95 33 * 52 stack variables, 1 constants, and 32 memory accesses
cannam@95 34 */
cannam@95 35 #include "hc2cb.h"
cannam@95 36
cannam@95 37 static void hc2cb_8(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@95 38 {
cannam@95 39 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
cannam@95 40 {
cannam@95 41 INT m;
cannam@95 42 for (m = mb, W = W + ((mb - 1) * 14); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 14, MAKE_VOLATILE_STRIDE(32, rs)) {
cannam@95 43 E Tw, TH, Tf, Ty, Tx, TI;
cannam@95 44 {
cannam@95 45 E TV, TD, T1i, T7, T1b, T1n, TQ, Tk, Tp, TE, Te, T1o, T1e, T1j, Tu;
cannam@95 46 E TF;
cannam@95 47 {
cannam@95 48 E T4, Tg, T3, T19, TC, T5, Th, Ti;
cannam@95 49 {
cannam@95 50 E T1, T2, TA, TB;
cannam@95 51 T1 = Rp[0];
cannam@95 52 T2 = Rm[WS(rs, 3)];
cannam@95 53 TA = Ip[0];
cannam@95 54 TB = Im[WS(rs, 3)];
cannam@95 55 T4 = Rp[WS(rs, 2)];
cannam@95 56 Tg = T1 - T2;
cannam@95 57 T3 = T1 + T2;
cannam@95 58 T19 = TA - TB;
cannam@95 59 TC = TA + TB;
cannam@95 60 T5 = Rm[WS(rs, 1)];
cannam@95 61 Th = Ip[WS(rs, 2)];
cannam@95 62 Ti = Im[WS(rs, 1)];
cannam@95 63 }
cannam@95 64 {
cannam@95 65 E Tb, Tl, Ta, T1c, To, Tc, Tr, Ts;
cannam@95 66 {
cannam@95 67 E T8, T9, Tm, Tn;
cannam@95 68 T8 = Rp[WS(rs, 1)];
cannam@95 69 {
cannam@95 70 E Tz, T6, T1a, Tj;
cannam@95 71 Tz = T4 - T5;
cannam@95 72 T6 = T4 + T5;
cannam@95 73 T1a = Th - Ti;
cannam@95 74 Tj = Th + Ti;
cannam@95 75 TV = TC - Tz;
cannam@95 76 TD = Tz + TC;
cannam@95 77 T1i = T3 - T6;
cannam@95 78 T7 = T3 + T6;
cannam@95 79 T1b = T19 + T1a;
cannam@95 80 T1n = T19 - T1a;
cannam@95 81 TQ = Tg + Tj;
cannam@95 82 Tk = Tg - Tj;
cannam@95 83 T9 = Rm[WS(rs, 2)];
cannam@95 84 }
cannam@95 85 Tm = Ip[WS(rs, 1)];
cannam@95 86 Tn = Im[WS(rs, 2)];
cannam@95 87 Tb = Rm[0];
cannam@95 88 Tl = T8 - T9;
cannam@95 89 Ta = T8 + T9;
cannam@95 90 T1c = Tm - Tn;
cannam@95 91 To = Tm + Tn;
cannam@95 92 Tc = Rp[WS(rs, 3)];
cannam@95 93 Tr = Ip[WS(rs, 3)];
cannam@95 94 Ts = Im[0];
cannam@95 95 }
cannam@95 96 {
cannam@95 97 E Tq, Td, T1d, Tt;
cannam@95 98 Tp = Tl - To;
cannam@95 99 TE = Tl + To;
cannam@95 100 Tq = Tb - Tc;
cannam@95 101 Td = Tb + Tc;
cannam@95 102 T1d = Tr - Ts;
cannam@95 103 Tt = Tr + Ts;
cannam@95 104 Te = Ta + Td;
cannam@95 105 T1o = Ta - Td;
cannam@95 106 T1e = T1c + T1d;
cannam@95 107 T1j = T1d - T1c;
cannam@95 108 Tu = Tq - Tt;
cannam@95 109 TF = Tq + Tt;
cannam@95 110 }
cannam@95 111 }
cannam@95 112 }
cannam@95 113 {
cannam@95 114 E TG, Tv, T10, T13, T1s, T1k, T1p, T1v, T1u, T1w, T1t, TR, TW;
cannam@95 115 Rp[0] = T7 + Te;
cannam@95 116 Rm[0] = T1b + T1e;
cannam@95 117 TG = TE - TF;
cannam@95 118 TR = TE + TF;
cannam@95 119 TW = Tp - Tu;
cannam@95 120 Tv = Tp + Tu;
cannam@95 121 {
cannam@95 122 E TP, TS, TX, TU, T1r, TT, TY;
cannam@95 123 TP = W[4];
cannam@95 124 T10 = FMA(KP707106781, TR, TQ);
cannam@95 125 TS = FNMS(KP707106781, TR, TQ);
cannam@95 126 TX = FMA(KP707106781, TW, TV);
cannam@95 127 T13 = FNMS(KP707106781, TW, TV);
cannam@95 128 TU = W[5];
cannam@95 129 T1s = T1i + T1j;
cannam@95 130 T1k = T1i - T1j;
cannam@95 131 TT = TP * TS;
cannam@95 132 TY = TP * TX;
cannam@95 133 T1p = T1n - T1o;
cannam@95 134 T1v = T1o + T1n;
cannam@95 135 T1r = W[2];
cannam@95 136 Ip[WS(rs, 1)] = FNMS(TU, TX, TT);
cannam@95 137 Im[WS(rs, 1)] = FMA(TU, TS, TY);
cannam@95 138 T1u = W[3];
cannam@95 139 T1w = T1r * T1v;
cannam@95 140 T1t = T1r * T1s;
cannam@95 141 }
cannam@95 142 {
cannam@95 143 E T1f, T15, T18, T17, T1g, T1h, T1m;
cannam@95 144 {
cannam@95 145 E TZ, T12, T16, T14, T11;
cannam@95 146 Rm[WS(rs, 1)] = FMA(T1u, T1s, T1w);
cannam@95 147 Rp[WS(rs, 1)] = FNMS(T1u, T1v, T1t);
cannam@95 148 TZ = W[12];
cannam@95 149 T12 = W[13];
cannam@95 150 T1f = T1b - T1e;
cannam@95 151 T16 = T7 - Te;
cannam@95 152 T14 = TZ * T13;
cannam@95 153 T11 = TZ * T10;
cannam@95 154 T15 = W[6];
cannam@95 155 T18 = W[7];
cannam@95 156 Im[WS(rs, 3)] = FMA(T12, T10, T14);
cannam@95 157 Ip[WS(rs, 3)] = FNMS(T12, T13, T11);
cannam@95 158 T17 = T15 * T16;
cannam@95 159 T1g = T18 * T16;
cannam@95 160 }
cannam@95 161 Rp[WS(rs, 2)] = FNMS(T18, T1f, T17);
cannam@95 162 Rm[WS(rs, 2)] = FMA(T15, T1f, T1g);
cannam@95 163 T1h = W[10];
cannam@95 164 T1m = W[11];
cannam@95 165 {
cannam@95 166 E TN, TJ, TM, TL, TO, TK, T1q, T1l;
cannam@95 167 Tw = FNMS(KP707106781, Tv, Tk);
cannam@95 168 TK = FMA(KP707106781, Tv, Tk);
cannam@95 169 T1q = T1h * T1p;
cannam@95 170 T1l = T1h * T1k;
cannam@95 171 TN = FMA(KP707106781, TG, TD);
cannam@95 172 TH = FNMS(KP707106781, TG, TD);
cannam@95 173 Rm[WS(rs, 3)] = FMA(T1m, T1k, T1q);
cannam@95 174 Rp[WS(rs, 3)] = FNMS(T1m, T1p, T1l);
cannam@95 175 TJ = W[0];
cannam@95 176 TM = W[1];
cannam@95 177 Tf = W[8];
cannam@95 178 TL = TJ * TK;
cannam@95 179 TO = TM * TK;
cannam@95 180 Ty = W[9];
cannam@95 181 Tx = Tf * Tw;
cannam@95 182 Ip[0] = FNMS(TM, TN, TL);
cannam@95 183 Im[0] = FMA(TJ, TN, TO);
cannam@95 184 }
cannam@95 185 }
cannam@95 186 }
cannam@95 187 }
cannam@95 188 Ip[WS(rs, 2)] = FNMS(Ty, TH, Tx);
cannam@95 189 TI = Ty * Tw;
cannam@95 190 Im[WS(rs, 2)] = FMA(Tf, TH, TI);
cannam@95 191 }
cannam@95 192 }
cannam@95 193 }
cannam@95 194
cannam@95 195 static const tw_instr twinstr[] = {
cannam@95 196 {TW_FULL, 1, 8},
cannam@95 197 {TW_NEXT, 1, 0}
cannam@95 198 };
cannam@95 199
cannam@95 200 static const hc2c_desc desc = { 8, "hc2cb_8", twinstr, &GENUS, {44, 14, 22, 0} };
cannam@95 201
cannam@95 202 void X(codelet_hc2cb_8) (planner *p) {
cannam@95 203 X(khc2c_register) (p, hc2cb_8, &desc, HC2C_VIA_RDFT);
cannam@95 204 }
cannam@95 205 #else /* HAVE_FMA */
cannam@95 206
cannam@95 207 /* Generated by: ../../../genfft/gen_hc2c.native -compact -variables 4 -pipeline-latency 4 -sign 1 -n 8 -dif -name hc2cb_8 -include hc2cb.h */
cannam@95 208
cannam@95 209 /*
cannam@95 210 * This function contains 66 FP additions, 32 FP multiplications,
cannam@95 211 * (or, 52 additions, 18 multiplications, 14 fused multiply/add),
cannam@95 212 * 30 stack variables, 1 constants, and 32 memory accesses
cannam@95 213 */
cannam@95 214 #include "hc2cb.h"
cannam@95 215
cannam@95 216 static void hc2cb_8(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@95 217 {
cannam@95 218 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
cannam@95 219 {
cannam@95 220 INT m;
cannam@95 221 for (m = mb, W = W + ((mb - 1) * 14); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 14, MAKE_VOLATILE_STRIDE(32, rs)) {
cannam@95 222 E T7, T18, T1c, To, Ty, TM, TY, TC, Te, TZ, T10, Tv, Tz, TP, TS;
cannam@95 223 E TD;
cannam@95 224 {
cannam@95 225 E T3, TK, Tk, TX, T6, TW, Tn, TL;
cannam@95 226 {
cannam@95 227 E T1, T2, Ti, Tj;
cannam@95 228 T1 = Rp[0];
cannam@95 229 T2 = Rm[WS(rs, 3)];
cannam@95 230 T3 = T1 + T2;
cannam@95 231 TK = T1 - T2;
cannam@95 232 Ti = Ip[0];
cannam@95 233 Tj = Im[WS(rs, 3)];
cannam@95 234 Tk = Ti - Tj;
cannam@95 235 TX = Ti + Tj;
cannam@95 236 }
cannam@95 237 {
cannam@95 238 E T4, T5, Tl, Tm;
cannam@95 239 T4 = Rp[WS(rs, 2)];
cannam@95 240 T5 = Rm[WS(rs, 1)];
cannam@95 241 T6 = T4 + T5;
cannam@95 242 TW = T4 - T5;
cannam@95 243 Tl = Ip[WS(rs, 2)];
cannam@95 244 Tm = Im[WS(rs, 1)];
cannam@95 245 Tn = Tl - Tm;
cannam@95 246 TL = Tl + Tm;
cannam@95 247 }
cannam@95 248 T7 = T3 + T6;
cannam@95 249 T18 = TK + TL;
cannam@95 250 T1c = TX - TW;
cannam@95 251 To = Tk + Tn;
cannam@95 252 Ty = T3 - T6;
cannam@95 253 TM = TK - TL;
cannam@95 254 TY = TW + TX;
cannam@95 255 TC = Tk - Tn;
cannam@95 256 }
cannam@95 257 {
cannam@95 258 E Ta, TN, Tr, TO, Td, TQ, Tu, TR;
cannam@95 259 {
cannam@95 260 E T8, T9, Tp, Tq;
cannam@95 261 T8 = Rp[WS(rs, 1)];
cannam@95 262 T9 = Rm[WS(rs, 2)];
cannam@95 263 Ta = T8 + T9;
cannam@95 264 TN = T8 - T9;
cannam@95 265 Tp = Ip[WS(rs, 1)];
cannam@95 266 Tq = Im[WS(rs, 2)];
cannam@95 267 Tr = Tp - Tq;
cannam@95 268 TO = Tp + Tq;
cannam@95 269 }
cannam@95 270 {
cannam@95 271 E Tb, Tc, Ts, Tt;
cannam@95 272 Tb = Rm[0];
cannam@95 273 Tc = Rp[WS(rs, 3)];
cannam@95 274 Td = Tb + Tc;
cannam@95 275 TQ = Tb - Tc;
cannam@95 276 Ts = Ip[WS(rs, 3)];
cannam@95 277 Tt = Im[0];
cannam@95 278 Tu = Ts - Tt;
cannam@95 279 TR = Ts + Tt;
cannam@95 280 }
cannam@95 281 Te = Ta + Td;
cannam@95 282 TZ = TN + TO;
cannam@95 283 T10 = TQ + TR;
cannam@95 284 Tv = Tr + Tu;
cannam@95 285 Tz = Tu - Tr;
cannam@95 286 TP = TN - TO;
cannam@95 287 TS = TQ - TR;
cannam@95 288 TD = Ta - Td;
cannam@95 289 }
cannam@95 290 Rp[0] = T7 + Te;
cannam@95 291 Rm[0] = To + Tv;
cannam@95 292 {
cannam@95 293 E Tg, Tw, Tf, Th;
cannam@95 294 Tg = T7 - Te;
cannam@95 295 Tw = To - Tv;
cannam@95 296 Tf = W[6];
cannam@95 297 Th = W[7];
cannam@95 298 Rp[WS(rs, 2)] = FNMS(Th, Tw, Tf * Tg);
cannam@95 299 Rm[WS(rs, 2)] = FMA(Th, Tg, Tf * Tw);
cannam@95 300 }
cannam@95 301 {
cannam@95 302 E TG, TI, TF, TH;
cannam@95 303 TG = Ty + Tz;
cannam@95 304 TI = TD + TC;
cannam@95 305 TF = W[2];
cannam@95 306 TH = W[3];
cannam@95 307 Rp[WS(rs, 1)] = FNMS(TH, TI, TF * TG);
cannam@95 308 Rm[WS(rs, 1)] = FMA(TF, TI, TH * TG);
cannam@95 309 }
cannam@95 310 {
cannam@95 311 E TA, TE, Tx, TB;
cannam@95 312 TA = Ty - Tz;
cannam@95 313 TE = TC - TD;
cannam@95 314 Tx = W[10];
cannam@95 315 TB = W[11];
cannam@95 316 Rp[WS(rs, 3)] = FNMS(TB, TE, Tx * TA);
cannam@95 317 Rm[WS(rs, 3)] = FMA(Tx, TE, TB * TA);
cannam@95 318 }
cannam@95 319 {
cannam@95 320 E T1a, T1g, T1e, T1i, T19, T1d;
cannam@95 321 T19 = KP707106781 * (TZ + T10);
cannam@95 322 T1a = T18 - T19;
cannam@95 323 T1g = T18 + T19;
cannam@95 324 T1d = KP707106781 * (TP - TS);
cannam@95 325 T1e = T1c + T1d;
cannam@95 326 T1i = T1c - T1d;
cannam@95 327 {
cannam@95 328 E T17, T1b, T1f, T1h;
cannam@95 329 T17 = W[4];
cannam@95 330 T1b = W[5];
cannam@95 331 Ip[WS(rs, 1)] = FNMS(T1b, T1e, T17 * T1a);
cannam@95 332 Im[WS(rs, 1)] = FMA(T17, T1e, T1b * T1a);
cannam@95 333 T1f = W[12];
cannam@95 334 T1h = W[13];
cannam@95 335 Ip[WS(rs, 3)] = FNMS(T1h, T1i, T1f * T1g);
cannam@95 336 Im[WS(rs, 3)] = FMA(T1f, T1i, T1h * T1g);
cannam@95 337 }
cannam@95 338 }
cannam@95 339 {
cannam@95 340 E TU, T14, T12, T16, TT, T11;
cannam@95 341 TT = KP707106781 * (TP + TS);
cannam@95 342 TU = TM - TT;
cannam@95 343 T14 = TM + TT;
cannam@95 344 T11 = KP707106781 * (TZ - T10);
cannam@95 345 T12 = TY - T11;
cannam@95 346 T16 = TY + T11;
cannam@95 347 {
cannam@95 348 E TJ, TV, T13, T15;
cannam@95 349 TJ = W[8];
cannam@95 350 TV = W[9];
cannam@95 351 Ip[WS(rs, 2)] = FNMS(TV, T12, TJ * TU);
cannam@95 352 Im[WS(rs, 2)] = FMA(TV, TU, TJ * T12);
cannam@95 353 T13 = W[0];
cannam@95 354 T15 = W[1];
cannam@95 355 Ip[0] = FNMS(T15, T16, T13 * T14);
cannam@95 356 Im[0] = FMA(T15, T14, T13 * T16);
cannam@95 357 }
cannam@95 358 }
cannam@95 359 }
cannam@95 360 }
cannam@95 361 }
cannam@95 362
cannam@95 363 static const tw_instr twinstr[] = {
cannam@95 364 {TW_FULL, 1, 8},
cannam@95 365 {TW_NEXT, 1, 0}
cannam@95 366 };
cannam@95 367
cannam@95 368 static const hc2c_desc desc = { 8, "hc2cb_8", twinstr, &GENUS, {52, 18, 14, 0} };
cannam@95 369
cannam@95 370 void X(codelet_hc2cb_8) (planner *p) {
cannam@95 371 X(khc2c_register) (p, hc2cb_8, &desc, HC2C_VIA_RDFT);
cannam@95 372 }
cannam@95 373 #endif /* HAVE_FMA */