488 lines
14 KiB
C
488 lines
14 KiB
C
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/*
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* Copyright (c) 2003, 2007-14 Matteo Frigo
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* Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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*
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*/
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/* This file was automatically generated --- DO NOT EDIT */
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/* Generated on Tue Sep 14 10:44:27 EDT 2021 */
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#include "dft/codelet-dft.h"
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#if defined(ARCH_PREFERS_FMA) || defined(ISA_EXTENSION_PREFERS_FMA)
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/* Generated by: ../../../genfft/gen_twiddle.native -fma -compact -variables 4 -pipeline-latency 4 -n 9 -name t1_9 -include dft/scalar/t.h */
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/*
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* This function contains 96 FP additions, 88 FP multiplications,
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* (or, 24 additions, 16 multiplications, 72 fused multiply/add),
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* 55 stack variables, 10 constants, and 36 memory accesses
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*/
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#include "dft/scalar/t.h"
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static void t1_9(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
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{
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DK(KP852868531, +0.852868531952443209628250963940074071936020296);
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DK(KP492403876, +0.492403876506104029683371512294761506835321626);
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DK(KP984807753, +0.984807753012208059366743024589523013670643252);
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DK(KP954188894, +0.954188894138671133499268364187245676532219158);
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DK(KP363970234, +0.363970234266202361351047882776834043890471784);
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DK(KP777861913, +0.777861913430206160028177977318626690410586096);
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DK(KP839099631, +0.839099631177280011763127298123181364687434283);
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DK(KP176326980, +0.176326980708464973471090386868618986121633062);
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DK(KP866025403, +0.866025403784438646763723170752936183471402627);
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DK(KP500000000, +0.500000000000000000000000000000000000000000000);
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{
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INT m;
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for (m = mb, W = W + (mb * 16); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 16, MAKE_VOLATILE_STRIDE(18, rs)) {
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E T1, T1R, Te, T1W, T10, T1Q, T1l, T1r, Ty, T1p, Tl, T1o, T1g, T1q, T1a;
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E T1d, TS, T18, TF, T13, T19, T1c;
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T1 = ri[0];
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T1R = ii[0];
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{
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E T3, T6, T4, TW, T9, Tc, Ta, TY, T2, T8;
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T3 = ri[WS(rs, 3)];
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T6 = ii[WS(rs, 3)];
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T2 = W[4];
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T4 = T2 * T3;
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TW = T2 * T6;
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T9 = ri[WS(rs, 6)];
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Tc = ii[WS(rs, 6)];
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T8 = W[10];
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Ta = T8 * T9;
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TY = T8 * Tc;
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{
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E T7, TX, Td, TZ, T5, Tb;
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T5 = W[5];
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T7 = FMA(T5, T6, T4);
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TX = FNMS(T5, T3, TW);
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Tb = W[11];
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Td = FMA(Tb, Tc, Ta);
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TZ = FNMS(Tb, T9, TY);
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Te = T7 + Td;
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T1W = Td - T7;
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T10 = TX - TZ;
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T1Q = TX + TZ;
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}
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}
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{
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E Th, Tk, Ti, T1n, Tx, T1i, Tr, T1k, Tg, Tj;
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Th = ri[WS(rs, 1)];
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Tk = ii[WS(rs, 1)];
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Tg = W[0];
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Ti = Tg * Th;
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T1n = Tg * Tk;
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{
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E Tt, Tw, Tu, T1h, Ts, Tv;
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Tt = ri[WS(rs, 7)];
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Tw = ii[WS(rs, 7)];
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Ts = W[12];
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Tu = Ts * Tt;
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T1h = Ts * Tw;
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Tv = W[13];
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Tx = FMA(Tv, Tw, Tu);
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T1i = FNMS(Tv, Tt, T1h);
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}
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{
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E Tn, Tq, To, T1j, Tm, Tp;
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Tn = ri[WS(rs, 4)];
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Tq = ii[WS(rs, 4)];
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Tm = W[6];
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To = Tm * Tn;
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T1j = Tm * Tq;
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Tp = W[7];
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Tr = FMA(Tp, Tq, To);
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T1k = FNMS(Tp, Tn, T1j);
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}
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T1l = T1i - T1k;
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T1r = Tr - Tx;
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Ty = Tr + Tx;
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T1p = T1k + T1i;
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Tj = W[1];
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Tl = FMA(Tj, Tk, Ti);
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T1o = FNMS(Tj, Th, T1n);
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T1g = FNMS(KP500000000, Ty, Tl);
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T1q = FNMS(KP500000000, T1p, T1o);
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}
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{
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E TB, TE, TC, T12, TR, T17, TL, T15, TA, TD;
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TB = ri[WS(rs, 2)];
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TE = ii[WS(rs, 2)];
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TA = W[2];
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TC = TA * TB;
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T12 = TA * TE;
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{
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E TN, TQ, TO, T16, TM, TP;
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TN = ri[WS(rs, 8)];
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TQ = ii[WS(rs, 8)];
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TM = W[14];
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TO = TM * TN;
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T16 = TM * TQ;
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TP = W[15];
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TR = FMA(TP, TQ, TO);
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T17 = FNMS(TP, TN, T16);
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}
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{
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E TH, TK, TI, T14, TG, TJ;
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TH = ri[WS(rs, 5)];
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TK = ii[WS(rs, 5)];
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TG = W[8];
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TI = TG * TH;
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T14 = TG * TK;
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TJ = W[9];
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TL = FMA(TJ, TK, TI);
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T15 = FNMS(TJ, TH, T14);
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}
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T1a = TR - TL;
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T1d = T15 - T17;
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TS = TL + TR;
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T18 = T15 + T17;
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TD = W[3];
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TF = FMA(TD, TE, TC);
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T13 = FNMS(TD, TB, T12);
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T19 = FNMS(KP500000000, T18, T13);
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T1c = FNMS(KP500000000, TS, TF);
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}
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{
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E Tf, T1S, TU, T1U, T1O, T1P, T1L, T1T;
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Tf = T1 + Te;
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T1S = T1Q + T1R;
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{
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E Tz, TT, T1M, T1N;
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Tz = Tl + Ty;
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TT = TF + TS;
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TU = Tz + TT;
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T1U = TT - Tz;
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T1M = T1o + T1p;
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T1N = T13 + T18;
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T1O = T1M - T1N;
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T1P = T1M + T1N;
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}
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ri[0] = Tf + TU;
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ii[0] = T1P + T1S;
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T1L = FNMS(KP500000000, TU, Tf);
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ri[WS(rs, 6)] = FNMS(KP866025403, T1O, T1L);
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ri[WS(rs, 3)] = FMA(KP866025403, T1O, T1L);
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T1T = FNMS(KP500000000, T1P, T1S);
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ii[WS(rs, 3)] = FMA(KP866025403, T1U, T1T);
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ii[WS(rs, 6)] = FNMS(KP866025403, T1U, T1T);
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}
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{
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E T11, T1z, T1X, T21, T1f, T1w, T1t, T1x, T1u, T1Y, T1C, T1I, T1F, T1J, T1G;
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E T22, TV, T1V;
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TV = FNMS(KP500000000, Te, T1);
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T11 = FMA(KP866025403, T10, TV);
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T1z = FNMS(KP866025403, T10, TV);
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T1V = FNMS(KP500000000, T1Q, T1R);
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T1X = FMA(KP866025403, T1W, T1V);
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T21 = FNMS(KP866025403, T1W, T1V);
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{
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E T1b, T1e, T1m, T1s;
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T1b = FMA(KP866025403, T1a, T19);
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T1e = FMA(KP866025403, T1d, T1c);
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T1f = FMA(KP176326980, T1e, T1b);
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T1w = FNMS(KP176326980, T1b, T1e);
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T1m = FNMS(KP866025403, T1l, T1g);
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T1s = FNMS(KP866025403, T1r, T1q);
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T1t = FMA(KP839099631, T1s, T1m);
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T1x = FNMS(KP839099631, T1m, T1s);
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}
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T1u = FMA(KP777861913, T1t, T1f);
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T1Y = FNMS(KP777861913, T1x, T1w);
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{
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E T1A, T1B, T1D, T1E;
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T1A = FMA(KP866025403, T1r, T1q);
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T1B = FMA(KP866025403, T1l, T1g);
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T1C = FMA(KP176326980, T1B, T1A);
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T1I = FNMS(KP176326980, T1A, T1B);
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T1D = FNMS(KP866025403, T1d, T1c);
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T1E = FNMS(KP866025403, T1a, T19);
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T1F = FNMS(KP363970234, T1E, T1D);
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T1J = FMA(KP363970234, T1D, T1E);
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}
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T1G = FNMS(KP954188894, T1F, T1C);
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T22 = FMA(KP954188894, T1J, T1I);
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ri[WS(rs, 1)] = FMA(KP984807753, T1u, T11);
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ii[WS(rs, 1)] = FNMS(KP984807753, T1Y, T1X);
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ri[WS(rs, 2)] = FMA(KP984807753, T1G, T1z);
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ii[WS(rs, 2)] = FNMS(KP984807753, T22, T21);
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{
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E T1v, T1y, T1Z, T20;
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T1v = FNMS(KP492403876, T1u, T11);
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T1y = FMA(KP777861913, T1x, T1w);
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ri[WS(rs, 4)] = FMA(KP852868531, T1y, T1v);
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ri[WS(rs, 7)] = FNMS(KP852868531, T1y, T1v);
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T1Z = FMA(KP492403876, T1Y, T1X);
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T20 = FNMS(KP777861913, T1t, T1f);
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ii[WS(rs, 4)] = FMA(KP852868531, T20, T1Z);
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ii[WS(rs, 7)] = FNMS(KP852868531, T20, T1Z);
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}
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{
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E T1H, T1K, T23, T24;
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T1H = FNMS(KP492403876, T1G, T1z);
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T1K = FNMS(KP954188894, T1J, T1I);
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ri[WS(rs, 5)] = FNMS(KP852868531, T1K, T1H);
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ri[WS(rs, 8)] = FMA(KP852868531, T1K, T1H);
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T23 = FMA(KP492403876, T22, T21);
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T24 = FMA(KP954188894, T1F, T1C);
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ii[WS(rs, 5)] = FNMS(KP852868531, T24, T23);
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ii[WS(rs, 8)] = FMA(KP852868531, T24, T23);
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}
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}
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}
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}
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}
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static const tw_instr twinstr[] = {
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{ TW_FULL, 0, 9 },
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{ TW_NEXT, 1, 0 }
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};
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static const ct_desc desc = { 9, "t1_9", twinstr, &GENUS, { 24, 16, 72, 0 }, 0, 0, 0 };
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void X(codelet_t1_9) (planner *p) {
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X(kdft_dit_register) (p, t1_9, &desc);
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}
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#else
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/* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -n 9 -name t1_9 -include dft/scalar/t.h */
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/*
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||
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* This function contains 96 FP additions, 72 FP multiplications,
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||
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* (or, 60 additions, 36 multiplications, 36 fused multiply/add),
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* 41 stack variables, 8 constants, and 36 memory accesses
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*/
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#include "dft/scalar/t.h"
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static void t1_9(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
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{
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DK(KP939692620, +0.939692620785908384054109277324731469936208134);
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DK(KP342020143, +0.342020143325668733044099614682259580763083368);
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DK(KP984807753, +0.984807753012208059366743024589523013670643252);
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DK(KP173648177, +0.173648177666930348851716626769314796000375677);
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DK(KP642787609, +0.642787609686539326322643409907263432907559884);
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DK(KP766044443, +0.766044443118978035202392650555416673935832457);
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DK(KP500000000, +0.500000000000000000000000000000000000000000000);
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DK(KP866025403, +0.866025403784438646763723170752936183471402627);
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{
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INT m;
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for (m = mb, W = W + (mb * 16); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 16, MAKE_VOLATILE_STRIDE(18, rs)) {
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E T1, T1B, TQ, T1G, Tc, TN, T1A, T1H, TL, T1x, T17, T1o, T1c, T1n, Tu;
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E T1w, TW, T1k, T11, T1l;
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{
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E T6, TO, Tb, TP;
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T1 = ri[0];
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T1B = ii[0];
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{
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E T3, T5, T2, T4;
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T3 = ri[WS(rs, 3)];
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T5 = ii[WS(rs, 3)];
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T2 = W[4];
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T4 = W[5];
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T6 = FMA(T2, T3, T4 * T5);
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TO = FNMS(T4, T3, T2 * T5);
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}
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{
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E T8, Ta, T7, T9;
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T8 = ri[WS(rs, 6)];
|
||
|
|
Ta = ii[WS(rs, 6)];
|
||
|
|
T7 = W[10];
|
||
|
|
T9 = W[11];
|
||
|
|
Tb = FMA(T7, T8, T9 * Ta);
|
||
|
|
TP = FNMS(T9, T8, T7 * Ta);
|
||
|
|
}
|
||
|
|
TQ = KP866025403 * (TO - TP);
|
||
|
|
T1G = KP866025403 * (Tb - T6);
|
||
|
|
Tc = T6 + Tb;
|
||
|
|
TN = FNMS(KP500000000, Tc, T1);
|
||
|
|
T1A = TO + TP;
|
||
|
|
T1H = FNMS(KP500000000, T1A, T1B);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E Tz, T19, TE, T14, TJ, T15, TK, T1a;
|
||
|
|
{
|
||
|
|
E Tw, Ty, Tv, Tx;
|
||
|
|
Tw = ri[WS(rs, 2)];
|
||
|
|
Ty = ii[WS(rs, 2)];
|
||
|
|
Tv = W[2];
|
||
|
|
Tx = W[3];
|
||
|
|
Tz = FMA(Tv, Tw, Tx * Ty);
|
||
|
|
T19 = FNMS(Tx, Tw, Tv * Ty);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E TB, TD, TA, TC;
|
||
|
|
TB = ri[WS(rs, 5)];
|
||
|
|
TD = ii[WS(rs, 5)];
|
||
|
|
TA = W[8];
|
||
|
|
TC = W[9];
|
||
|
|
TE = FMA(TA, TB, TC * TD);
|
||
|
|
T14 = FNMS(TC, TB, TA * TD);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E TG, TI, TF, TH;
|
||
|
|
TG = ri[WS(rs, 8)];
|
||
|
|
TI = ii[WS(rs, 8)];
|
||
|
|
TF = W[14];
|
||
|
|
TH = W[15];
|
||
|
|
TJ = FMA(TF, TG, TH * TI);
|
||
|
|
T15 = FNMS(TH, TG, TF * TI);
|
||
|
|
}
|
||
|
|
TK = TE + TJ;
|
||
|
|
T1a = T14 + T15;
|
||
|
|
TL = Tz + TK;
|
||
|
|
T1x = T19 + T1a;
|
||
|
|
{
|
||
|
|
E T13, T16, T18, T1b;
|
||
|
|
T13 = FNMS(KP500000000, TK, Tz);
|
||
|
|
T16 = KP866025403 * (T14 - T15);
|
||
|
|
T17 = T13 + T16;
|
||
|
|
T1o = T13 - T16;
|
||
|
|
T18 = KP866025403 * (TJ - TE);
|
||
|
|
T1b = FNMS(KP500000000, T1a, T19);
|
||
|
|
T1c = T18 + T1b;
|
||
|
|
T1n = T1b - T18;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E Ti, TY, Tn, TT, Ts, TU, Tt, TZ;
|
||
|
|
{
|
||
|
|
E Tf, Th, Te, Tg;
|
||
|
|
Tf = ri[WS(rs, 1)];
|
||
|
|
Th = ii[WS(rs, 1)];
|
||
|
|
Te = W[0];
|
||
|
|
Tg = W[1];
|
||
|
|
Ti = FMA(Te, Tf, Tg * Th);
|
||
|
|
TY = FNMS(Tg, Tf, Te * Th);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E Tk, Tm, Tj, Tl;
|
||
|
|
Tk = ri[WS(rs, 4)];
|
||
|
|
Tm = ii[WS(rs, 4)];
|
||
|
|
Tj = W[6];
|
||
|
|
Tl = W[7];
|
||
|
|
Tn = FMA(Tj, Tk, Tl * Tm);
|
||
|
|
TT = FNMS(Tl, Tk, Tj * Tm);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E Tp, Tr, To, Tq;
|
||
|
|
Tp = ri[WS(rs, 7)];
|
||
|
|
Tr = ii[WS(rs, 7)];
|
||
|
|
To = W[12];
|
||
|
|
Tq = W[13];
|
||
|
|
Ts = FMA(To, Tp, Tq * Tr);
|
||
|
|
TU = FNMS(Tq, Tp, To * Tr);
|
||
|
|
}
|
||
|
|
Tt = Tn + Ts;
|
||
|
|
TZ = TT + TU;
|
||
|
|
Tu = Ti + Tt;
|
||
|
|
T1w = TY + TZ;
|
||
|
|
{
|
||
|
|
E TS, TV, TX, T10;
|
||
|
|
TS = FNMS(KP500000000, Tt, Ti);
|
||
|
|
TV = KP866025403 * (TT - TU);
|
||
|
|
TW = TS + TV;
|
||
|
|
T1k = TS - TV;
|
||
|
|
TX = KP866025403 * (Ts - Tn);
|
||
|
|
T10 = FNMS(KP500000000, TZ, TY);
|
||
|
|
T11 = TX + T10;
|
||
|
|
T1l = T10 - TX;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T1y, Td, TM, T1v;
|
||
|
|
T1y = KP866025403 * (T1w - T1x);
|
||
|
|
Td = T1 + Tc;
|
||
|
|
TM = Tu + TL;
|
||
|
|
T1v = FNMS(KP500000000, TM, Td);
|
||
|
|
ri[0] = Td + TM;
|
||
|
|
ri[WS(rs, 3)] = T1v + T1y;
|
||
|
|
ri[WS(rs, 6)] = T1v - T1y;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T1D, T1z, T1C, T1E;
|
||
|
|
T1D = KP866025403 * (TL - Tu);
|
||
|
|
T1z = T1w + T1x;
|
||
|
|
T1C = T1A + T1B;
|
||
|
|
T1E = FNMS(KP500000000, T1z, T1C);
|
||
|
|
ii[0] = T1z + T1C;
|
||
|
|
ii[WS(rs, 6)] = T1E - T1D;
|
||
|
|
ii[WS(rs, 3)] = T1D + T1E;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E TR, T1I, T1e, T1J, T1i, T1F, T1f, T1K;
|
||
|
|
TR = TN + TQ;
|
||
|
|
T1I = T1G + T1H;
|
||
|
|
{
|
||
|
|
E T12, T1d, T1g, T1h;
|
||
|
|
T12 = FMA(KP766044443, TW, KP642787609 * T11);
|
||
|
|
T1d = FMA(KP173648177, T17, KP984807753 * T1c);
|
||
|
|
T1e = T12 + T1d;
|
||
|
|
T1J = KP866025403 * (T1d - T12);
|
||
|
|
T1g = FNMS(KP642787609, TW, KP766044443 * T11);
|
||
|
|
T1h = FNMS(KP984807753, T17, KP173648177 * T1c);
|
||
|
|
T1i = KP866025403 * (T1g - T1h);
|
||
|
|
T1F = T1g + T1h;
|
||
|
|
}
|
||
|
|
ri[WS(rs, 1)] = TR + T1e;
|
||
|
|
ii[WS(rs, 1)] = T1F + T1I;
|
||
|
|
T1f = FNMS(KP500000000, T1e, TR);
|
||
|
|
ri[WS(rs, 7)] = T1f - T1i;
|
||
|
|
ri[WS(rs, 4)] = T1f + T1i;
|
||
|
|
T1K = FNMS(KP500000000, T1F, T1I);
|
||
|
|
ii[WS(rs, 4)] = T1J + T1K;
|
||
|
|
ii[WS(rs, 7)] = T1K - T1J;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T1j, T1M, T1q, T1N, T1u, T1L, T1r, T1O;
|
||
|
|
T1j = TN - TQ;
|
||
|
|
T1M = T1H - T1G;
|
||
|
|
{
|
||
|
|
E T1m, T1p, T1s, T1t;
|
||
|
|
T1m = FMA(KP173648177, T1k, KP984807753 * T1l);
|
||
|
|
T1p = FNMS(KP939692620, T1o, KP342020143 * T1n);
|
||
|
|
T1q = T1m + T1p;
|
||
|
|
T1N = KP866025403 * (T1p - T1m);
|
||
|
|
T1s = FNMS(KP984807753, T1k, KP173648177 * T1l);
|
||
|
|
T1t = FMA(KP342020143, T1o, KP939692620 * T1n);
|
||
|
|
T1u = KP866025403 * (T1s + T1t);
|
||
|
|
T1L = T1s - T1t;
|
||
|
|
}
|
||
|
|
ri[WS(rs, 2)] = T1j + T1q;
|
||
|
|
ii[WS(rs, 2)] = T1L + T1M;
|
||
|
|
T1r = FNMS(KP500000000, T1q, T1j);
|
||
|
|
ri[WS(rs, 8)] = T1r - T1u;
|
||
|
|
ri[WS(rs, 5)] = T1r + T1u;
|
||
|
|
T1O = FNMS(KP500000000, T1L, T1M);
|
||
|
|
ii[WS(rs, 5)] = T1N + T1O;
|
||
|
|
ii[WS(rs, 8)] = T1O - T1N;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
static const tw_instr twinstr[] = {
|
||
|
|
{ TW_FULL, 0, 9 },
|
||
|
|
{ TW_NEXT, 1, 0 }
|
||
|
|
};
|
||
|
|
|
||
|
|
static const ct_desc desc = { 9, "t1_9", twinstr, &GENUS, { 60, 36, 36, 0 }, 0, 0, 0 };
|
||
|
|
|
||
|
|
void X(codelet_t1_9) (planner *p) {
|
||
|
|
X(kdft_dit_register) (p, t1_9, &desc);
|
||
|
|
}
|
||
|
|
#endif
|