annotate src/fftw-3.3.3/rdft/scalar/r2cb/hb_5.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 07:41:12 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_hc2hc.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -n 5 -dif -name hb_5 -include hb.h */
cannam@95 29
cannam@95 30 /*
cannam@95 31 * This function contains 40 FP additions, 34 FP multiplications,
cannam@95 32 * (or, 14 additions, 8 multiplications, 26 fused multiply/add),
cannam@95 33 * 42 stack variables, 4 constants, and 20 memory accesses
cannam@95 34 */
cannam@95 35 #include "hb.h"
cannam@95 36
cannam@95 37 static void hb_5(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@95 38 {
cannam@95 39 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
cannam@95 40 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
cannam@95 41 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
cannam@95 42 DK(KP618033988, +0.618033988749894848204586834365638117720309180);
cannam@95 43 {
cannam@95 44 INT m;
cannam@95 45 for (m = mb, W = W + ((mb - 1) * 8); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 8, MAKE_VOLATILE_STRIDE(10, rs)) {
cannam@95 46 E TQ, TP, TT, TR, TS, TU;
cannam@95 47 {
cannam@95 48 E T1, Tn, TM, Tw, Tb, T8, To, Tf, Ta, Tg, Th;
cannam@95 49 {
cannam@95 50 E T2, T3, T5, T6, T4, Tu;
cannam@95 51 T1 = cr[0];
cannam@95 52 T2 = cr[WS(rs, 1)];
cannam@95 53 T3 = ci[0];
cannam@95 54 T5 = cr[WS(rs, 2)];
cannam@95 55 T6 = ci[WS(rs, 1)];
cannam@95 56 Tn = ci[WS(rs, 4)];
cannam@95 57 T4 = T2 + T3;
cannam@95 58 Tu = T2 - T3;
cannam@95 59 {
cannam@95 60 E T7, Tv, Td, Te;
cannam@95 61 T7 = T5 + T6;
cannam@95 62 Tv = T5 - T6;
cannam@95 63 Td = ci[WS(rs, 3)];
cannam@95 64 Te = cr[WS(rs, 4)];
cannam@95 65 TM = FNMS(KP618033988, Tu, Tv);
cannam@95 66 Tw = FMA(KP618033988, Tv, Tu);
cannam@95 67 Tb = T4 - T7;
cannam@95 68 T8 = T4 + T7;
cannam@95 69 To = Td - Te;
cannam@95 70 Tf = Td + Te;
cannam@95 71 Ta = FNMS(KP250000000, T8, T1);
cannam@95 72 Tg = ci[WS(rs, 2)];
cannam@95 73 Th = cr[WS(rs, 3)];
cannam@95 74 }
cannam@95 75 }
cannam@95 76 cr[0] = T1 + T8;
cannam@95 77 {
cannam@95 78 E TG, T9, Tm, Tz, TH, TC, TA, Tk, Tt, TL, Tc, Ti, Tp, TI;
cannam@95 79 TG = FNMS(KP559016994, Tb, Ta);
cannam@95 80 Tc = FMA(KP559016994, Tb, Ta);
cannam@95 81 T9 = W[0];
cannam@95 82 Ti = Tg + Th;
cannam@95 83 Tp = Tg - Th;
cannam@95 84 Tm = W[1];
cannam@95 85 {
cannam@95 86 E Ts, Tj, Tr, Tq;
cannam@95 87 Tz = W[6];
cannam@95 88 Ts = To - Tp;
cannam@95 89 Tq = To + Tp;
cannam@95 90 Tj = FMA(KP618033988, Ti, Tf);
cannam@95 91 TH = FNMS(KP618033988, Tf, Ti);
cannam@95 92 ci[0] = Tn + Tq;
cannam@95 93 Tr = FNMS(KP250000000, Tq, Tn);
cannam@95 94 TC = W[7];
cannam@95 95 TA = FMA(KP951056516, Tj, Tc);
cannam@95 96 Tk = FNMS(KP951056516, Tj, Tc);
cannam@95 97 Tt = FMA(KP559016994, Ts, Tr);
cannam@95 98 TL = FNMS(KP559016994, Ts, Tr);
cannam@95 99 }
cannam@95 100 {
cannam@95 101 E TE, TB, Ty, Tl, TD, Tx;
cannam@95 102 TE = TC * TA;
cannam@95 103 TB = Tz * TA;
cannam@95 104 Ty = Tm * Tk;
cannam@95 105 Tl = T9 * Tk;
cannam@95 106 TD = FNMS(KP951056516, Tw, Tt);
cannam@95 107 Tx = FMA(KP951056516, Tw, Tt);
cannam@95 108 TI = FMA(KP951056516, TH, TG);
cannam@95 109 TQ = FNMS(KP951056516, TH, TG);
cannam@95 110 ci[WS(rs, 4)] = FMA(Tz, TD, TE);
cannam@95 111 cr[WS(rs, 4)] = FNMS(TC, TD, TB);
cannam@95 112 ci[WS(rs, 1)] = FMA(T9, Tx, Ty);
cannam@95 113 cr[WS(rs, 1)] = FNMS(Tm, Tx, Tl);
cannam@95 114 }
cannam@95 115 {
cannam@95 116 E TF, TK, TN, TJ, TO;
cannam@95 117 TF = W[2];
cannam@95 118 TK = W[3];
cannam@95 119 TP = W[4];
cannam@95 120 TT = FMA(KP951056516, TM, TL);
cannam@95 121 TN = FNMS(KP951056516, TM, TL);
cannam@95 122 TJ = TF * TI;
cannam@95 123 TO = TK * TI;
cannam@95 124 TR = TP * TQ;
cannam@95 125 TS = W[5];
cannam@95 126 cr[WS(rs, 2)] = FNMS(TK, TN, TJ);
cannam@95 127 ci[WS(rs, 2)] = FMA(TF, TN, TO);
cannam@95 128 }
cannam@95 129 }
cannam@95 130 }
cannam@95 131 cr[WS(rs, 3)] = FNMS(TS, TT, TR);
cannam@95 132 TU = TS * TQ;
cannam@95 133 ci[WS(rs, 3)] = FMA(TP, TT, TU);
cannam@95 134 }
cannam@95 135 }
cannam@95 136 }
cannam@95 137
cannam@95 138 static const tw_instr twinstr[] = {
cannam@95 139 {TW_FULL, 1, 5},
cannam@95 140 {TW_NEXT, 1, 0}
cannam@95 141 };
cannam@95 142
cannam@95 143 static const hc2hc_desc desc = { 5, "hb_5", twinstr, &GENUS, {14, 8, 26, 0} };
cannam@95 144
cannam@95 145 void X(codelet_hb_5) (planner *p) {
cannam@95 146 X(khc2hc_register) (p, hb_5, &desc);
cannam@95 147 }
cannam@95 148 #else /* HAVE_FMA */
cannam@95 149
cannam@95 150 /* Generated by: ../../../genfft/gen_hc2hc.native -compact -variables 4 -pipeline-latency 4 -sign 1 -n 5 -dif -name hb_5 -include hb.h */
cannam@95 151
cannam@95 152 /*
cannam@95 153 * This function contains 40 FP additions, 28 FP multiplications,
cannam@95 154 * (or, 26 additions, 14 multiplications, 14 fused multiply/add),
cannam@95 155 * 27 stack variables, 4 constants, and 20 memory accesses
cannam@95 156 */
cannam@95 157 #include "hb.h"
cannam@95 158
cannam@95 159 static void hb_5(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@95 160 {
cannam@95 161 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
cannam@95 162 DK(KP587785252, +0.587785252292473129168705954639072768597652438);
cannam@95 163 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
cannam@95 164 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
cannam@95 165 {
cannam@95 166 INT m;
cannam@95 167 for (m = mb, W = W + ((mb - 1) * 8); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 8, MAKE_VOLATILE_STRIDE(10, rs)) {
cannam@95 168 E T1, Tj, TG, Ts, T8, Ti, T9, Tn, TD, Tu, Tg, Tt;
cannam@95 169 {
cannam@95 170 E T4, Tq, T7, Tr;
cannam@95 171 T1 = cr[0];
cannam@95 172 {
cannam@95 173 E T2, T3, T5, T6;
cannam@95 174 T2 = cr[WS(rs, 1)];
cannam@95 175 T3 = ci[0];
cannam@95 176 T4 = T2 + T3;
cannam@95 177 Tq = T2 - T3;
cannam@95 178 T5 = cr[WS(rs, 2)];
cannam@95 179 T6 = ci[WS(rs, 1)];
cannam@95 180 T7 = T5 + T6;
cannam@95 181 Tr = T5 - T6;
cannam@95 182 }
cannam@95 183 Tj = KP559016994 * (T4 - T7);
cannam@95 184 TG = FMA(KP951056516, Tq, KP587785252 * Tr);
cannam@95 185 Ts = FNMS(KP951056516, Tr, KP587785252 * Tq);
cannam@95 186 T8 = T4 + T7;
cannam@95 187 Ti = FNMS(KP250000000, T8, T1);
cannam@95 188 }
cannam@95 189 {
cannam@95 190 E Tc, Tl, Tf, Tm;
cannam@95 191 T9 = ci[WS(rs, 4)];
cannam@95 192 {
cannam@95 193 E Ta, Tb, Td, Te;
cannam@95 194 Ta = ci[WS(rs, 3)];
cannam@95 195 Tb = cr[WS(rs, 4)];
cannam@95 196 Tc = Ta - Tb;
cannam@95 197 Tl = Ta + Tb;
cannam@95 198 Td = ci[WS(rs, 2)];
cannam@95 199 Te = cr[WS(rs, 3)];
cannam@95 200 Tf = Td - Te;
cannam@95 201 Tm = Td + Te;
cannam@95 202 }
cannam@95 203 Tn = FNMS(KP951056516, Tm, KP587785252 * Tl);
cannam@95 204 TD = FMA(KP951056516, Tl, KP587785252 * Tm);
cannam@95 205 Tu = KP559016994 * (Tc - Tf);
cannam@95 206 Tg = Tc + Tf;
cannam@95 207 Tt = FNMS(KP250000000, Tg, T9);
cannam@95 208 }
cannam@95 209 cr[0] = T1 + T8;
cannam@95 210 ci[0] = T9 + Tg;
cannam@95 211 {
cannam@95 212 E To, Ty, Tw, TA, Tk, Tv;
cannam@95 213 Tk = Ti - Tj;
cannam@95 214 To = Tk - Tn;
cannam@95 215 Ty = Tk + Tn;
cannam@95 216 Tv = Tt - Tu;
cannam@95 217 Tw = Ts + Tv;
cannam@95 218 TA = Tv - Ts;
cannam@95 219 {
cannam@95 220 E Th, Tp, Tx, Tz;
cannam@95 221 Th = W[2];
cannam@95 222 Tp = W[3];
cannam@95 223 cr[WS(rs, 2)] = FNMS(Tp, Tw, Th * To);
cannam@95 224 ci[WS(rs, 2)] = FMA(Th, Tw, Tp * To);
cannam@95 225 Tx = W[4];
cannam@95 226 Tz = W[5];
cannam@95 227 cr[WS(rs, 3)] = FNMS(Tz, TA, Tx * Ty);
cannam@95 228 ci[WS(rs, 3)] = FMA(Tx, TA, Tz * Ty);
cannam@95 229 }
cannam@95 230 }
cannam@95 231 {
cannam@95 232 E TE, TK, TI, TM, TC, TH;
cannam@95 233 TC = Tj + Ti;
cannam@95 234 TE = TC - TD;
cannam@95 235 TK = TC + TD;
cannam@95 236 TH = Tu + Tt;
cannam@95 237 TI = TG + TH;
cannam@95 238 TM = TH - TG;
cannam@95 239 {
cannam@95 240 E TB, TF, TJ, TL;
cannam@95 241 TB = W[0];
cannam@95 242 TF = W[1];
cannam@95 243 cr[WS(rs, 1)] = FNMS(TF, TI, TB * TE);
cannam@95 244 ci[WS(rs, 1)] = FMA(TB, TI, TF * TE);
cannam@95 245 TJ = W[6];
cannam@95 246 TL = W[7];
cannam@95 247 cr[WS(rs, 4)] = FNMS(TL, TM, TJ * TK);
cannam@95 248 ci[WS(rs, 4)] = FMA(TJ, TM, TL * TK);
cannam@95 249 }
cannam@95 250 }
cannam@95 251 }
cannam@95 252 }
cannam@95 253 }
cannam@95 254
cannam@95 255 static const tw_instr twinstr[] = {
cannam@95 256 {TW_FULL, 1, 5},
cannam@95 257 {TW_NEXT, 1, 0}
cannam@95 258 };
cannam@95 259
cannam@95 260 static const hc2hc_desc desc = { 5, "hb_5", twinstr, &GENUS, {26, 14, 14, 0} };
cannam@95 261
cannam@95 262 void X(codelet_hb_5) (planner *p) {
cannam@95 263 X(khc2hc_register) (p, hb_5, &desc);
cannam@95 264 }
cannam@95 265 #endif /* HAVE_FMA */