Chris@10
|
1 /*
|
Chris@10
|
2 * Copyright (c) 2003, 2007-11 Matteo Frigo
|
Chris@10
|
3 * Copyright (c) 2003, 2007-11 Massachusetts Institute of Technology
|
Chris@10
|
4 *
|
Chris@10
|
5 * This program is free software; you can redistribute it and/or modify
|
Chris@10
|
6 * it under the terms of the GNU General Public License as published by
|
Chris@10
|
7 * the Free Software Foundation; either version 2 of the License, or
|
Chris@10
|
8 * (at your option) any later version.
|
Chris@10
|
9 *
|
Chris@10
|
10 * This program is distributed in the hope that it will be useful,
|
Chris@10
|
11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
|
Chris@10
|
12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
Chris@10
|
13 * GNU General Public License for more details.
|
Chris@10
|
14 *
|
Chris@10
|
15 * You should have received a copy of the GNU General Public License
|
Chris@10
|
16 * along with this program; if not, write to the Free Software
|
Chris@10
|
17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
|
Chris@10
|
18 *
|
Chris@10
|
19 */
|
Chris@10
|
20
|
Chris@10
|
21 /* This file was automatically generated --- DO NOT EDIT */
|
Chris@10
|
22 /* Generated on Sun Nov 25 07:35:48 EST 2012 */
|
Chris@10
|
23
|
Chris@10
|
24 #include "codelet-dft.h"
|
Chris@10
|
25
|
Chris@10
|
26 #ifdef HAVE_FMA
|
Chris@10
|
27
|
Chris@10
|
28 /* Generated by: ../../../genfft/gen_twiddle.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 7 -name t1_7 -include t.h */
|
Chris@10
|
29
|
Chris@10
|
30 /*
|
Chris@10
|
31 * This function contains 72 FP additions, 66 FP multiplications,
|
Chris@10
|
32 * (or, 18 additions, 12 multiplications, 54 fused multiply/add),
|
Chris@10
|
33 * 66 stack variables, 6 constants, and 28 memory accesses
|
Chris@10
|
34 */
|
Chris@10
|
35 #include "t.h"
|
Chris@10
|
36
|
Chris@10
|
37 static void t1_7(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
|
Chris@10
|
38 {
|
Chris@10
|
39 DK(KP974927912, +0.974927912181823607018131682993931217232785801);
|
Chris@10
|
40 DK(KP801937735, +0.801937735804838252472204639014890102331838324);
|
Chris@10
|
41 DK(KP900968867, +0.900968867902419126236102319507445051165919162);
|
Chris@10
|
42 DK(KP692021471, +0.692021471630095869627814897002069140197260599);
|
Chris@10
|
43 DK(KP554958132, +0.554958132087371191422194871006410481067288862);
|
Chris@10
|
44 DK(KP356895867, +0.356895867892209443894399510021300583399127187);
|
Chris@10
|
45 {
|
Chris@10
|
46 INT m;
|
Chris@10
|
47 for (m = mb, W = W + (mb * 12); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 12, MAKE_VOLATILE_STRIDE(14, rs)) {
|
Chris@10
|
48 E T1c, T19, T1i, T18, T16, T1q, T1t, T1r, T1u, T1s;
|
Chris@10
|
49 {
|
Chris@10
|
50 E T1, TR, T1h, Te, Tt, Tw, T1a, TM, T1g, Tr, Tu, TS, Tz, TC, Ty;
|
Chris@10
|
51 E Tv, TB;
|
Chris@10
|
52 T1 = ri[0];
|
Chris@10
|
53 T1c = ii[0];
|
Chris@10
|
54 {
|
Chris@10
|
55 E T9, Tc, TP, Ta, Tb, TO, T7;
|
Chris@10
|
56 {
|
Chris@10
|
57 E T3, T6, T8, TN, T4, T2, T5;
|
Chris@10
|
58 T3 = ri[WS(rs, 1)];
|
Chris@10
|
59 T6 = ii[WS(rs, 1)];
|
Chris@10
|
60 T2 = W[0];
|
Chris@10
|
61 T9 = ri[WS(rs, 6)];
|
Chris@10
|
62 Tc = ii[WS(rs, 6)];
|
Chris@10
|
63 T8 = W[10];
|
Chris@10
|
64 TN = T2 * T6;
|
Chris@10
|
65 T4 = T2 * T3;
|
Chris@10
|
66 T5 = W[1];
|
Chris@10
|
67 TP = T8 * Tc;
|
Chris@10
|
68 Ta = T8 * T9;
|
Chris@10
|
69 Tb = W[11];
|
Chris@10
|
70 TO = FNMS(T5, T3, TN);
|
Chris@10
|
71 T7 = FMA(T5, T6, T4);
|
Chris@10
|
72 }
|
Chris@10
|
73 {
|
Chris@10
|
74 E Tg, Tj, Th, TI, Tm, Tp, Tl, Ti, To, TQ, Td, Tf;
|
Chris@10
|
75 Tg = ri[WS(rs, 2)];
|
Chris@10
|
76 TQ = FNMS(Tb, T9, TP);
|
Chris@10
|
77 Td = FMA(Tb, Tc, Ta);
|
Chris@10
|
78 Tj = ii[WS(rs, 2)];
|
Chris@10
|
79 Tf = W[2];
|
Chris@10
|
80 T19 = TO + TQ;
|
Chris@10
|
81 TR = TO - TQ;
|
Chris@10
|
82 T1h = Td - T7;
|
Chris@10
|
83 Te = T7 + Td;
|
Chris@10
|
84 Th = Tf * Tg;
|
Chris@10
|
85 TI = Tf * Tj;
|
Chris@10
|
86 Tm = ri[WS(rs, 5)];
|
Chris@10
|
87 Tp = ii[WS(rs, 5)];
|
Chris@10
|
88 Tl = W[8];
|
Chris@10
|
89 Ti = W[3];
|
Chris@10
|
90 To = W[9];
|
Chris@10
|
91 {
|
Chris@10
|
92 E TJ, Tk, TL, Tq, TK, Tn, Ts;
|
Chris@10
|
93 Tt = ri[WS(rs, 3)];
|
Chris@10
|
94 TK = Tl * Tp;
|
Chris@10
|
95 Tn = Tl * Tm;
|
Chris@10
|
96 TJ = FNMS(Ti, Tg, TI);
|
Chris@10
|
97 Tk = FMA(Ti, Tj, Th);
|
Chris@10
|
98 TL = FNMS(To, Tm, TK);
|
Chris@10
|
99 Tq = FMA(To, Tp, Tn);
|
Chris@10
|
100 Tw = ii[WS(rs, 3)];
|
Chris@10
|
101 Ts = W[4];
|
Chris@10
|
102 T1a = TJ + TL;
|
Chris@10
|
103 TM = TJ - TL;
|
Chris@10
|
104 T1g = Tq - Tk;
|
Chris@10
|
105 Tr = Tk + Tq;
|
Chris@10
|
106 Tu = Ts * Tt;
|
Chris@10
|
107 TS = Ts * Tw;
|
Chris@10
|
108 }
|
Chris@10
|
109 Tz = ri[WS(rs, 4)];
|
Chris@10
|
110 TC = ii[WS(rs, 4)];
|
Chris@10
|
111 Ty = W[6];
|
Chris@10
|
112 Tv = W[5];
|
Chris@10
|
113 TB = W[7];
|
Chris@10
|
114 }
|
Chris@10
|
115 }
|
Chris@10
|
116 {
|
Chris@10
|
117 E TF, TT, Tx, TV, TD, T1d, TU, TA;
|
Chris@10
|
118 TF = FNMS(KP356895867, Tr, Te);
|
Chris@10
|
119 TU = Ty * TC;
|
Chris@10
|
120 TA = Ty * Tz;
|
Chris@10
|
121 TT = FNMS(Tv, Tt, TS);
|
Chris@10
|
122 Tx = FMA(Tv, Tw, Tu);
|
Chris@10
|
123 TV = FNMS(TB, Tz, TU);
|
Chris@10
|
124 TD = FMA(TB, TC, TA);
|
Chris@10
|
125 T1d = FNMS(KP356895867, T1a, T19);
|
Chris@10
|
126 {
|
Chris@10
|
127 E T1b, T15, T17, TW;
|
Chris@10
|
128 T17 = FNMS(KP554958132, TR, TM);
|
Chris@10
|
129 T1b = TT + TV;
|
Chris@10
|
130 TW = TT - TV;
|
Chris@10
|
131 {
|
Chris@10
|
132 E TE, T1l, T1e, T12;
|
Chris@10
|
133 T1i = TD - Tx;
|
Chris@10
|
134 TE = Tx + TD;
|
Chris@10
|
135 T1l = FNMS(KP356895867, T19, T1b);
|
Chris@10
|
136 T1e = FNMS(KP692021471, T1d, T1b);
|
Chris@10
|
137 ii[0] = T19 + T1a + T1b + T1c;
|
Chris@10
|
138 T12 = FMA(KP554958132, TM, TW);
|
Chris@10
|
139 {
|
Chris@10
|
140 E TX, T1o, T1j, T14;
|
Chris@10
|
141 TX = FMA(KP554958132, TW, TR);
|
Chris@10
|
142 T1o = FMA(KP554958132, T1g, T1i);
|
Chris@10
|
143 T1j = FMA(KP554958132, T1i, T1h);
|
Chris@10
|
144 T14 = FNMS(KP356895867, TE, Tr);
|
Chris@10
|
145 {
|
Chris@10
|
146 E TZ, TG, T1m, T1f;
|
Chris@10
|
147 TZ = FNMS(KP356895867, Te, TE);
|
Chris@10
|
148 TG = FNMS(KP692021471, TF, TE);
|
Chris@10
|
149 ri[0] = T1 + Te + Tr + TE;
|
Chris@10
|
150 T1m = FNMS(KP692021471, T1l, T1a);
|
Chris@10
|
151 T1f = FNMS(KP900968867, T1e, T1c);
|
Chris@10
|
152 {
|
Chris@10
|
153 E T13, TY, T1p, T1k;
|
Chris@10
|
154 T13 = FNMS(KP801937735, T12, TR);
|
Chris@10
|
155 TY = FMA(KP801937735, TX, TM);
|
Chris@10
|
156 T1p = FNMS(KP801937735, T1o, T1h);
|
Chris@10
|
157 T1k = FMA(KP801937735, T1j, T1g);
|
Chris@10
|
158 T15 = FNMS(KP692021471, T14, Te);
|
Chris@10
|
159 {
|
Chris@10
|
160 E T10, TH, T1n, T11;
|
Chris@10
|
161 T10 = FNMS(KP692021471, TZ, Tr);
|
Chris@10
|
162 TH = FNMS(KP900968867, TG, T1);
|
Chris@10
|
163 T1n = FNMS(KP900968867, T1m, T1c);
|
Chris@10
|
164 ii[WS(rs, 6)] = FNMS(KP974927912, T1k, T1f);
|
Chris@10
|
165 ii[WS(rs, 1)] = FMA(KP974927912, T1k, T1f);
|
Chris@10
|
166 T11 = FNMS(KP900968867, T10, T1);
|
Chris@10
|
167 ri[WS(rs, 1)] = FMA(KP974927912, TY, TH);
|
Chris@10
|
168 ri[WS(rs, 6)] = FNMS(KP974927912, TY, TH);
|
Chris@10
|
169 ii[WS(rs, 5)] = FNMS(KP974927912, T1p, T1n);
|
Chris@10
|
170 ii[WS(rs, 2)] = FMA(KP974927912, T1p, T1n);
|
Chris@10
|
171 ri[WS(rs, 2)] = FMA(KP974927912, T13, T11);
|
Chris@10
|
172 ri[WS(rs, 5)] = FNMS(KP974927912, T13, T11);
|
Chris@10
|
173 T18 = FNMS(KP801937735, T17, TW);
|
Chris@10
|
174 }
|
Chris@10
|
175 }
|
Chris@10
|
176 }
|
Chris@10
|
177 }
|
Chris@10
|
178 }
|
Chris@10
|
179 T16 = FNMS(KP900968867, T15, T1);
|
Chris@10
|
180 T1q = FNMS(KP356895867, T1b, T1a);
|
Chris@10
|
181 T1t = FNMS(KP554958132, T1h, T1g);
|
Chris@10
|
182 }
|
Chris@10
|
183 }
|
Chris@10
|
184 }
|
Chris@10
|
185 ri[WS(rs, 3)] = FMA(KP974927912, T18, T16);
|
Chris@10
|
186 ri[WS(rs, 4)] = FNMS(KP974927912, T18, T16);
|
Chris@10
|
187 T1r = FNMS(KP692021471, T1q, T19);
|
Chris@10
|
188 T1u = FNMS(KP801937735, T1t, T1i);
|
Chris@10
|
189 T1s = FNMS(KP900968867, T1r, T1c);
|
Chris@10
|
190 ii[WS(rs, 4)] = FNMS(KP974927912, T1u, T1s);
|
Chris@10
|
191 ii[WS(rs, 3)] = FMA(KP974927912, T1u, T1s);
|
Chris@10
|
192 }
|
Chris@10
|
193 }
|
Chris@10
|
194 }
|
Chris@10
|
195
|
Chris@10
|
196 static const tw_instr twinstr[] = {
|
Chris@10
|
197 {TW_FULL, 0, 7},
|
Chris@10
|
198 {TW_NEXT, 1, 0}
|
Chris@10
|
199 };
|
Chris@10
|
200
|
Chris@10
|
201 static const ct_desc desc = { 7, "t1_7", twinstr, &GENUS, {18, 12, 54, 0}, 0, 0, 0 };
|
Chris@10
|
202
|
Chris@10
|
203 void X(codelet_t1_7) (planner *p) {
|
Chris@10
|
204 X(kdft_dit_register) (p, t1_7, &desc);
|
Chris@10
|
205 }
|
Chris@10
|
206 #else /* HAVE_FMA */
|
Chris@10
|
207
|
Chris@10
|
208 /* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -n 7 -name t1_7 -include t.h */
|
Chris@10
|
209
|
Chris@10
|
210 /*
|
Chris@10
|
211 * This function contains 72 FP additions, 60 FP multiplications,
|
Chris@10
|
212 * (or, 36 additions, 24 multiplications, 36 fused multiply/add),
|
Chris@10
|
213 * 29 stack variables, 6 constants, and 28 memory accesses
|
Chris@10
|
214 */
|
Chris@10
|
215 #include "t.h"
|
Chris@10
|
216
|
Chris@10
|
217 static void t1_7(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
|
Chris@10
|
218 {
|
Chris@10
|
219 DK(KP222520933, +0.222520933956314404288902564496794759466355569);
|
Chris@10
|
220 DK(KP900968867, +0.900968867902419126236102319507445051165919162);
|
Chris@10
|
221 DK(KP623489801, +0.623489801858733530525004884004239810632274731);
|
Chris@10
|
222 DK(KP433883739, +0.433883739117558120475768332848358754609990728);
|
Chris@10
|
223 DK(KP781831482, +0.781831482468029808708444526674057750232334519);
|
Chris@10
|
224 DK(KP974927912, +0.974927912181823607018131682993931217232785801);
|
Chris@10
|
225 {
|
Chris@10
|
226 INT m;
|
Chris@10
|
227 for (m = mb, W = W + (mb * 12); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 12, MAKE_VOLATILE_STRIDE(14, rs)) {
|
Chris@10
|
228 E T1, TR, Tc, TS, TC, TO, Tn, TT, TI, TP, Ty, TU, TF, TQ;
|
Chris@10
|
229 T1 = ri[0];
|
Chris@10
|
230 TR = ii[0];
|
Chris@10
|
231 {
|
Chris@10
|
232 E T6, TA, Tb, TB;
|
Chris@10
|
233 {
|
Chris@10
|
234 E T3, T5, T2, T4;
|
Chris@10
|
235 T3 = ri[WS(rs, 1)];
|
Chris@10
|
236 T5 = ii[WS(rs, 1)];
|
Chris@10
|
237 T2 = W[0];
|
Chris@10
|
238 T4 = W[1];
|
Chris@10
|
239 T6 = FMA(T2, T3, T4 * T5);
|
Chris@10
|
240 TA = FNMS(T4, T3, T2 * T5);
|
Chris@10
|
241 }
|
Chris@10
|
242 {
|
Chris@10
|
243 E T8, Ta, T7, T9;
|
Chris@10
|
244 T8 = ri[WS(rs, 6)];
|
Chris@10
|
245 Ta = ii[WS(rs, 6)];
|
Chris@10
|
246 T7 = W[10];
|
Chris@10
|
247 T9 = W[11];
|
Chris@10
|
248 Tb = FMA(T7, T8, T9 * Ta);
|
Chris@10
|
249 TB = FNMS(T9, T8, T7 * Ta);
|
Chris@10
|
250 }
|
Chris@10
|
251 Tc = T6 + Tb;
|
Chris@10
|
252 TS = Tb - T6;
|
Chris@10
|
253 TC = TA - TB;
|
Chris@10
|
254 TO = TA + TB;
|
Chris@10
|
255 }
|
Chris@10
|
256 {
|
Chris@10
|
257 E Th, TG, Tm, TH;
|
Chris@10
|
258 {
|
Chris@10
|
259 E Te, Tg, Td, Tf;
|
Chris@10
|
260 Te = ri[WS(rs, 2)];
|
Chris@10
|
261 Tg = ii[WS(rs, 2)];
|
Chris@10
|
262 Td = W[2];
|
Chris@10
|
263 Tf = W[3];
|
Chris@10
|
264 Th = FMA(Td, Te, Tf * Tg);
|
Chris@10
|
265 TG = FNMS(Tf, Te, Td * Tg);
|
Chris@10
|
266 }
|
Chris@10
|
267 {
|
Chris@10
|
268 E Tj, Tl, Ti, Tk;
|
Chris@10
|
269 Tj = ri[WS(rs, 5)];
|
Chris@10
|
270 Tl = ii[WS(rs, 5)];
|
Chris@10
|
271 Ti = W[8];
|
Chris@10
|
272 Tk = W[9];
|
Chris@10
|
273 Tm = FMA(Ti, Tj, Tk * Tl);
|
Chris@10
|
274 TH = FNMS(Tk, Tj, Ti * Tl);
|
Chris@10
|
275 }
|
Chris@10
|
276 Tn = Th + Tm;
|
Chris@10
|
277 TT = Tm - Th;
|
Chris@10
|
278 TI = TG - TH;
|
Chris@10
|
279 TP = TG + TH;
|
Chris@10
|
280 }
|
Chris@10
|
281 {
|
Chris@10
|
282 E Ts, TD, Tx, TE;
|
Chris@10
|
283 {
|
Chris@10
|
284 E Tp, Tr, To, Tq;
|
Chris@10
|
285 Tp = ri[WS(rs, 3)];
|
Chris@10
|
286 Tr = ii[WS(rs, 3)];
|
Chris@10
|
287 To = W[4];
|
Chris@10
|
288 Tq = W[5];
|
Chris@10
|
289 Ts = FMA(To, Tp, Tq * Tr);
|
Chris@10
|
290 TD = FNMS(Tq, Tp, To * Tr);
|
Chris@10
|
291 }
|
Chris@10
|
292 {
|
Chris@10
|
293 E Tu, Tw, Tt, Tv;
|
Chris@10
|
294 Tu = ri[WS(rs, 4)];
|
Chris@10
|
295 Tw = ii[WS(rs, 4)];
|
Chris@10
|
296 Tt = W[6];
|
Chris@10
|
297 Tv = W[7];
|
Chris@10
|
298 Tx = FMA(Tt, Tu, Tv * Tw);
|
Chris@10
|
299 TE = FNMS(Tv, Tu, Tt * Tw);
|
Chris@10
|
300 }
|
Chris@10
|
301 Ty = Ts + Tx;
|
Chris@10
|
302 TU = Tx - Ts;
|
Chris@10
|
303 TF = TD - TE;
|
Chris@10
|
304 TQ = TD + TE;
|
Chris@10
|
305 }
|
Chris@10
|
306 ri[0] = T1 + Tc + Tn + Ty;
|
Chris@10
|
307 ii[0] = TO + TP + TQ + TR;
|
Chris@10
|
308 {
|
Chris@10
|
309 E TJ, Tz, TX, TY;
|
Chris@10
|
310 TJ = FNMS(KP781831482, TF, KP974927912 * TC) - (KP433883739 * TI);
|
Chris@10
|
311 Tz = FMA(KP623489801, Ty, T1) + FNMA(KP900968867, Tn, KP222520933 * Tc);
|
Chris@10
|
312 ri[WS(rs, 5)] = Tz - TJ;
|
Chris@10
|
313 ri[WS(rs, 2)] = Tz + TJ;
|
Chris@10
|
314 TX = FNMS(KP781831482, TU, KP974927912 * TS) - (KP433883739 * TT);
|
Chris@10
|
315 TY = FMA(KP623489801, TQ, TR) + FNMA(KP900968867, TP, KP222520933 * TO);
|
Chris@10
|
316 ii[WS(rs, 2)] = TX + TY;
|
Chris@10
|
317 ii[WS(rs, 5)] = TY - TX;
|
Chris@10
|
318 }
|
Chris@10
|
319 {
|
Chris@10
|
320 E TL, TK, TV, TW;
|
Chris@10
|
321 TL = FMA(KP781831482, TC, KP974927912 * TI) + (KP433883739 * TF);
|
Chris@10
|
322 TK = FMA(KP623489801, Tc, T1) + FNMA(KP900968867, Ty, KP222520933 * Tn);
|
Chris@10
|
323 ri[WS(rs, 6)] = TK - TL;
|
Chris@10
|
324 ri[WS(rs, 1)] = TK + TL;
|
Chris@10
|
325 TV = FMA(KP781831482, TS, KP974927912 * TT) + (KP433883739 * TU);
|
Chris@10
|
326 TW = FMA(KP623489801, TO, TR) + FNMA(KP900968867, TQ, KP222520933 * TP);
|
Chris@10
|
327 ii[WS(rs, 1)] = TV + TW;
|
Chris@10
|
328 ii[WS(rs, 6)] = TW - TV;
|
Chris@10
|
329 }
|
Chris@10
|
330 {
|
Chris@10
|
331 E TN, TM, TZ, T10;
|
Chris@10
|
332 TN = FMA(KP433883739, TC, KP974927912 * TF) - (KP781831482 * TI);
|
Chris@10
|
333 TM = FMA(KP623489801, Tn, T1) + FNMA(KP222520933, Ty, KP900968867 * Tc);
|
Chris@10
|
334 ri[WS(rs, 4)] = TM - TN;
|
Chris@10
|
335 ri[WS(rs, 3)] = TM + TN;
|
Chris@10
|
336 TZ = FMA(KP433883739, TS, KP974927912 * TU) - (KP781831482 * TT);
|
Chris@10
|
337 T10 = FMA(KP623489801, TP, TR) + FNMA(KP222520933, TQ, KP900968867 * TO);
|
Chris@10
|
338 ii[WS(rs, 3)] = TZ + T10;
|
Chris@10
|
339 ii[WS(rs, 4)] = T10 - TZ;
|
Chris@10
|
340 }
|
Chris@10
|
341 }
|
Chris@10
|
342 }
|
Chris@10
|
343 }
|
Chris@10
|
344
|
Chris@10
|
345 static const tw_instr twinstr[] = {
|
Chris@10
|
346 {TW_FULL, 0, 7},
|
Chris@10
|
347 {TW_NEXT, 1, 0}
|
Chris@10
|
348 };
|
Chris@10
|
349
|
Chris@10
|
350 static const ct_desc desc = { 7, "t1_7", twinstr, &GENUS, {36, 24, 36, 0}, 0, 0, 0 };
|
Chris@10
|
351
|
Chris@10
|
352 void X(codelet_t1_7) (planner *p) {
|
Chris@10
|
353 X(kdft_dit_register) (p, t1_7, &desc);
|
Chris@10
|
354 }
|
Chris@10
|
355 #endif /* HAVE_FMA */
|