annotate src/fftw-3.3.3/dft/scalar/codelets/t1_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 07:35:47 EST 2012 */
cannam@95 23
cannam@95 24 #include "codelet-dft.h"
cannam@95 25
cannam@95 26 #ifdef HAVE_FMA
cannam@95 27
cannam@95 28 /* Generated by: ../../../genfft/gen_twiddle.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 5 -name t1_5 -include t.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 * 43 stack variables, 4 constants, and 20 memory accesses
cannam@95 34 */
cannam@95 35 #include "t.h"
cannam@95 36
cannam@95 37 static void t1_5(R *ri, R *ii, 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 * 8); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 8, MAKE_VOLATILE_STRIDE(10, rs)) {
cannam@95 46 E T1, TM, TJ, TA, TQ, Te, TC, Tk, TE, Tq;
cannam@95 47 {
cannam@95 48 E Tg, Tj, Tm, TB, Th, Tp, Tl, Ti, To, TD, Tn;
cannam@95 49 T1 = ri[0];
cannam@95 50 TM = ii[0];
cannam@95 51 {
cannam@95 52 E T9, Tc, Ty, Ta, Tb, Tx, T7, Tf, Tz, Td;
cannam@95 53 {
cannam@95 54 E T3, T6, T8, Tw, T4, T2, T5;
cannam@95 55 T3 = ri[WS(rs, 1)];
cannam@95 56 T6 = ii[WS(rs, 1)];
cannam@95 57 T2 = W[0];
cannam@95 58 T9 = ri[WS(rs, 4)];
cannam@95 59 Tc = ii[WS(rs, 4)];
cannam@95 60 T8 = W[6];
cannam@95 61 Tw = T2 * T6;
cannam@95 62 T4 = T2 * T3;
cannam@95 63 T5 = W[1];
cannam@95 64 Ty = T8 * Tc;
cannam@95 65 Ta = T8 * T9;
cannam@95 66 Tb = W[7];
cannam@95 67 Tx = FNMS(T5, T3, Tw);
cannam@95 68 T7 = FMA(T5, T6, T4);
cannam@95 69 }
cannam@95 70 Tg = ri[WS(rs, 2)];
cannam@95 71 Tz = FNMS(Tb, T9, Ty);
cannam@95 72 Td = FMA(Tb, Tc, Ta);
cannam@95 73 Tj = ii[WS(rs, 2)];
cannam@95 74 Tf = W[2];
cannam@95 75 TJ = Tx + Tz;
cannam@95 76 TA = Tx - Tz;
cannam@95 77 TQ = T7 - Td;
cannam@95 78 Te = T7 + Td;
cannam@95 79 Tm = ri[WS(rs, 3)];
cannam@95 80 TB = Tf * Tj;
cannam@95 81 Th = Tf * Tg;
cannam@95 82 Tp = ii[WS(rs, 3)];
cannam@95 83 Tl = W[4];
cannam@95 84 Ti = W[3];
cannam@95 85 To = W[5];
cannam@95 86 }
cannam@95 87 TD = Tl * Tp;
cannam@95 88 Tn = Tl * Tm;
cannam@95 89 TC = FNMS(Ti, Tg, TB);
cannam@95 90 Tk = FMA(Ti, Tj, Th);
cannam@95 91 TE = FNMS(To, Tm, TD);
cannam@95 92 Tq = FMA(To, Tp, Tn);
cannam@95 93 }
cannam@95 94 {
cannam@95 95 E TG, TI, TO, TS, TU, Tu, TN, Tt, TK, TF;
cannam@95 96 TK = TC + TE;
cannam@95 97 TF = TC - TE;
cannam@95 98 {
cannam@95 99 E Tr, TR, TL, Ts;
cannam@95 100 Tr = Tk + Tq;
cannam@95 101 TR = Tk - Tq;
cannam@95 102 TG = FMA(KP618033988, TF, TA);
cannam@95 103 TI = FNMS(KP618033988, TA, TF);
cannam@95 104 TO = TJ - TK;
cannam@95 105 TL = TJ + TK;
cannam@95 106 TS = FMA(KP618033988, TR, TQ);
cannam@95 107 TU = FNMS(KP618033988, TQ, TR);
cannam@95 108 Tu = Te - Tr;
cannam@95 109 Ts = Te + Tr;
cannam@95 110 ii[0] = TL + TM;
cannam@95 111 TN = FNMS(KP250000000, TL, TM);
cannam@95 112 ri[0] = T1 + Ts;
cannam@95 113 Tt = FNMS(KP250000000, Ts, T1);
cannam@95 114 }
cannam@95 115 {
cannam@95 116 E TT, TP, TH, Tv;
cannam@95 117 TT = FNMS(KP559016994, TO, TN);
cannam@95 118 TP = FMA(KP559016994, TO, TN);
cannam@95 119 TH = FNMS(KP559016994, Tu, Tt);
cannam@95 120 Tv = FMA(KP559016994, Tu, Tt);
cannam@95 121 ii[WS(rs, 4)] = FMA(KP951056516, TS, TP);
cannam@95 122 ii[WS(rs, 1)] = FNMS(KP951056516, TS, TP);
cannam@95 123 ii[WS(rs, 3)] = FNMS(KP951056516, TU, TT);
cannam@95 124 ii[WS(rs, 2)] = FMA(KP951056516, TU, TT);
cannam@95 125 ri[WS(rs, 1)] = FMA(KP951056516, TG, Tv);
cannam@95 126 ri[WS(rs, 4)] = FNMS(KP951056516, TG, Tv);
cannam@95 127 ri[WS(rs, 3)] = FMA(KP951056516, TI, TH);
cannam@95 128 ri[WS(rs, 2)] = FNMS(KP951056516, TI, TH);
cannam@95 129 }
cannam@95 130 }
cannam@95 131 }
cannam@95 132 }
cannam@95 133 }
cannam@95 134
cannam@95 135 static const tw_instr twinstr[] = {
cannam@95 136 {TW_FULL, 0, 5},
cannam@95 137 {TW_NEXT, 1, 0}
cannam@95 138 };
cannam@95 139
cannam@95 140 static const ct_desc desc = { 5, "t1_5", twinstr, &GENUS, {14, 8, 26, 0}, 0, 0, 0 };
cannam@95 141
cannam@95 142 void X(codelet_t1_5) (planner *p) {
cannam@95 143 X(kdft_dit_register) (p, t1_5, &desc);
cannam@95 144 }
cannam@95 145 #else /* HAVE_FMA */
cannam@95 146
cannam@95 147 /* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -n 5 -name t1_5 -include t.h */
cannam@95 148
cannam@95 149 /*
cannam@95 150 * This function contains 40 FP additions, 28 FP multiplications,
cannam@95 151 * (or, 26 additions, 14 multiplications, 14 fused multiply/add),
cannam@95 152 * 29 stack variables, 4 constants, and 20 memory accesses
cannam@95 153 */
cannam@95 154 #include "t.h"
cannam@95 155
cannam@95 156 static void t1_5(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@95 157 {
cannam@95 158 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
cannam@95 159 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
cannam@95 160 DK(KP587785252, +0.587785252292473129168705954639072768597652438);
cannam@95 161 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
cannam@95 162 {
cannam@95 163 INT m;
cannam@95 164 for (m = mb, W = W + (mb * 8); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 8, MAKE_VOLATILE_STRIDE(10, rs)) {
cannam@95 165 E T1, TE, Tu, Tx, TJ, TI, TB, TC, TD, Tc, Tn, To;
cannam@95 166 T1 = ri[0];
cannam@95 167 TE = ii[0];
cannam@95 168 {
cannam@95 169 E T6, Ts, Tm, Tw, Tb, Tt, Th, Tv;
cannam@95 170 {
cannam@95 171 E T3, T5, T2, T4;
cannam@95 172 T3 = ri[WS(rs, 1)];
cannam@95 173 T5 = ii[WS(rs, 1)];
cannam@95 174 T2 = W[0];
cannam@95 175 T4 = W[1];
cannam@95 176 T6 = FMA(T2, T3, T4 * T5);
cannam@95 177 Ts = FNMS(T4, T3, T2 * T5);
cannam@95 178 }
cannam@95 179 {
cannam@95 180 E Tj, Tl, Ti, Tk;
cannam@95 181 Tj = ri[WS(rs, 3)];
cannam@95 182 Tl = ii[WS(rs, 3)];
cannam@95 183 Ti = W[4];
cannam@95 184 Tk = W[5];
cannam@95 185 Tm = FMA(Ti, Tj, Tk * Tl);
cannam@95 186 Tw = FNMS(Tk, Tj, Ti * Tl);
cannam@95 187 }
cannam@95 188 {
cannam@95 189 E T8, Ta, T7, T9;
cannam@95 190 T8 = ri[WS(rs, 4)];
cannam@95 191 Ta = ii[WS(rs, 4)];
cannam@95 192 T7 = W[6];
cannam@95 193 T9 = W[7];
cannam@95 194 Tb = FMA(T7, T8, T9 * Ta);
cannam@95 195 Tt = FNMS(T9, T8, T7 * Ta);
cannam@95 196 }
cannam@95 197 {
cannam@95 198 E Te, Tg, Td, Tf;
cannam@95 199 Te = ri[WS(rs, 2)];
cannam@95 200 Tg = ii[WS(rs, 2)];
cannam@95 201 Td = W[2];
cannam@95 202 Tf = W[3];
cannam@95 203 Th = FMA(Td, Te, Tf * Tg);
cannam@95 204 Tv = FNMS(Tf, Te, Td * Tg);
cannam@95 205 }
cannam@95 206 Tu = Ts - Tt;
cannam@95 207 Tx = Tv - Tw;
cannam@95 208 TJ = Th - Tm;
cannam@95 209 TI = T6 - Tb;
cannam@95 210 TB = Ts + Tt;
cannam@95 211 TC = Tv + Tw;
cannam@95 212 TD = TB + TC;
cannam@95 213 Tc = T6 + Tb;
cannam@95 214 Tn = Th + Tm;
cannam@95 215 To = Tc + Tn;
cannam@95 216 }
cannam@95 217 ri[0] = T1 + To;
cannam@95 218 ii[0] = TD + TE;
cannam@95 219 {
cannam@95 220 E Ty, TA, Tr, Tz, Tp, Tq;
cannam@95 221 Ty = FMA(KP951056516, Tu, KP587785252 * Tx);
cannam@95 222 TA = FNMS(KP587785252, Tu, KP951056516 * Tx);
cannam@95 223 Tp = KP559016994 * (Tc - Tn);
cannam@95 224 Tq = FNMS(KP250000000, To, T1);
cannam@95 225 Tr = Tp + Tq;
cannam@95 226 Tz = Tq - Tp;
cannam@95 227 ri[WS(rs, 4)] = Tr - Ty;
cannam@95 228 ri[WS(rs, 3)] = Tz + TA;
cannam@95 229 ri[WS(rs, 1)] = Tr + Ty;
cannam@95 230 ri[WS(rs, 2)] = Tz - TA;
cannam@95 231 }
cannam@95 232 {
cannam@95 233 E TK, TL, TH, TM, TF, TG;
cannam@95 234 TK = FMA(KP951056516, TI, KP587785252 * TJ);
cannam@95 235 TL = FNMS(KP587785252, TI, KP951056516 * TJ);
cannam@95 236 TF = KP559016994 * (TB - TC);
cannam@95 237 TG = FNMS(KP250000000, TD, TE);
cannam@95 238 TH = TF + TG;
cannam@95 239 TM = TG - TF;
cannam@95 240 ii[WS(rs, 1)] = TH - TK;
cannam@95 241 ii[WS(rs, 3)] = TM - TL;
cannam@95 242 ii[WS(rs, 4)] = TK + TH;
cannam@95 243 ii[WS(rs, 2)] = TL + TM;
cannam@95 244 }
cannam@95 245 }
cannam@95 246 }
cannam@95 247 }
cannam@95 248
cannam@95 249 static const tw_instr twinstr[] = {
cannam@95 250 {TW_FULL, 0, 5},
cannam@95 251 {TW_NEXT, 1, 0}
cannam@95 252 };
cannam@95 253
cannam@95 254 static const ct_desc desc = { 5, "t1_5", twinstr, &GENUS, {26, 14, 14, 0}, 0, 0, 0 };
cannam@95 255
cannam@95 256 void X(codelet_t1_5) (planner *p) {
cannam@95 257 X(kdft_dit_register) (p, t1_5, &desc);
cannam@95 258 }
cannam@95 259 #endif /* HAVE_FMA */