510 lines
14 KiB
C
510 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 10:44:37 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 -twiddle-log3 -precompute-twiddles -n 10 -name t2_10 -include dft/scalar/t.h */
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/*
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* This function contains 114 FP additions, 94 FP multiplications,
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* (or, 48 additions, 28 multiplications, 66 fused multiply/add),
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* 63 stack variables, 4 constants, and 40 memory accesses
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*/
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#include "dft/scalar/t.h"
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static void t2_10(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
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{
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DK(KP951056516, +0.951056516295153572116439333379382143405698634);
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DK(KP559016994, +0.559016994374947424102293417182819058860154590);
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DK(KP618033988, +0.618033988749894848204586834365638117720309180);
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DK(KP250000000, +0.250000000000000000000000000000000000000000000);
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{
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INT m;
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for (m = mb, W = W + (mb * 6); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 6, MAKE_VOLATILE_STRIDE(20, rs)) {
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E T2, T3, T8, Tc, T5, T6, Tl, T7, TB, TF, T12, TY, To, Ts, Tw;
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E Tb, Td, Th;
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{
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E TA, TX, TE, T11, Ta, T4;
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T2 = W[0];
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T3 = W[2];
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T4 = T2 * T3;
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T8 = W[4];
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TA = T2 * T8;
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TX = T3 * T8;
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Tc = W[5];
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TE = T2 * Tc;
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T11 = T3 * Tc;
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T5 = W[1];
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T6 = W[3];
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Ta = T2 * T6;
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Tl = FMA(T5, T6, T4);
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T7 = FNMS(T5, T6, T4);
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TB = FMA(T5, Tc, TA);
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TF = FNMS(T5, T8, TE);
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T12 = FNMS(T6, T8, T11);
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TY = FMA(T6, Tc, TX);
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{
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E Tr, Tv, T9, Tg;
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Tr = Tl * T8;
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Tv = Tl * Tc;
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To = FNMS(T5, T3, Ta);
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Ts = FMA(To, Tc, Tr);
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Tw = FNMS(To, T8, Tv);
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T9 = T7 * T8;
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Tg = T7 * Tc;
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Tb = FMA(T5, T3, Ta);
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Td = FMA(Tb, Tc, T9);
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Th = FNMS(Tb, T8, Tg);
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}
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}
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{
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E Tk, T1c, T24, T2d, TW, T19, T1a, T1P, T1Q, T1Z, T1g, T1h, T1i, T1C, T1H;
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E T2f, Tz, TM, TN, T1S, T1T, T1Y, T1d, T1e, T1f, T1r, T1w, T2e;
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{
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E T1, T23, Te, Tf, Ti, T21, Tj, T22;
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T1 = ri[0];
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T23 = ii[0];
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Te = ri[WS(rs, 5)];
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Tf = Td * Te;
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Ti = ii[WS(rs, 5)];
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T21 = Td * Ti;
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Tj = FMA(Th, Ti, Tf);
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Tk = T1 - Tj;
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T1c = T1 + Tj;
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T22 = FNMS(Th, Te, T21);
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T24 = T22 + T23;
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T2d = T23 - T22;
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}
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{
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E TR, T1z, T18, T1G, TV, T1B, T14, T1E;
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{
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E TO, TP, TQ, T1y;
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TO = ri[WS(rs, 4)];
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TP = T7 * TO;
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TQ = ii[WS(rs, 4)];
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T1y = T7 * TQ;
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TR = FMA(Tb, TQ, TP);
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T1z = FNMS(Tb, TO, T1y);
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}
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{
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E T15, T16, T17, T1F;
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T15 = ri[WS(rs, 1)];
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T16 = T2 * T15;
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T17 = ii[WS(rs, 1)];
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T1F = T2 * T17;
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T18 = FMA(T5, T17, T16);
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T1G = FNMS(T5, T15, T1F);
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}
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{
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E TS, TT, TU, T1A;
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TS = ri[WS(rs, 9)];
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TT = T8 * TS;
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TU = ii[WS(rs, 9)];
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T1A = T8 * TU;
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TV = FMA(Tc, TU, TT);
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T1B = FNMS(Tc, TS, T1A);
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}
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{
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E TZ, T10, T13, T1D;
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TZ = ri[WS(rs, 6)];
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T10 = TY * TZ;
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T13 = ii[WS(rs, 6)];
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T1D = TY * T13;
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T14 = FMA(T12, T13, T10);
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T1E = FNMS(T12, TZ, T1D);
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}
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TW = TR - TV;
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T19 = T14 - T18;
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T1a = TW + T19;
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T1P = T1z + T1B;
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T1Q = T1E + T1G;
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T1Z = T1P + T1Q;
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T1g = TR + TV;
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T1h = T14 + T18;
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T1i = T1g + T1h;
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T1C = T1z - T1B;
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T1H = T1E - T1G;
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T2f = T1C + T1H;
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}
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{
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E Tq, T1o, TL, T1v, Ty, T1q, TH, T1t;
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{
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E Tm, Tn, Tp, T1n;
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Tm = ri[WS(rs, 2)];
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Tn = Tl * Tm;
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Tp = ii[WS(rs, 2)];
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T1n = Tl * Tp;
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Tq = FMA(To, Tp, Tn);
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T1o = FNMS(To, Tm, T1n);
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}
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{
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E TI, TJ, TK, T1u;
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TI = ri[WS(rs, 3)];
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TJ = T3 * TI;
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TK = ii[WS(rs, 3)];
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T1u = T3 * TK;
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TL = FMA(T6, TK, TJ);
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T1v = FNMS(T6, TI, T1u);
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}
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{
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E Tt, Tu, Tx, T1p;
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Tt = ri[WS(rs, 7)];
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Tu = Ts * Tt;
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Tx = ii[WS(rs, 7)];
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T1p = Ts * Tx;
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Ty = FMA(Tw, Tx, Tu);
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T1q = FNMS(Tw, Tt, T1p);
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}
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{
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E TC, TD, TG, T1s;
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TC = ri[WS(rs, 8)];
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TD = TB * TC;
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TG = ii[WS(rs, 8)];
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T1s = TB * TG;
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TH = FMA(TF, TG, TD);
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T1t = FNMS(TF, TC, T1s);
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}
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Tz = Tq - Ty;
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TM = TH - TL;
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TN = Tz + TM;
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T1S = T1o + T1q;
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T1T = T1t + T1v;
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T1Y = T1S + T1T;
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T1d = Tq + Ty;
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T1e = TH + TL;
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T1f = T1d + T1e;
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T1r = T1o - T1q;
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T1w = T1t - T1v;
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T2e = T1r + T1w;
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}
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{
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E T1l, T1b, T1k, T1J, T1L, T1x, T1I, T1K, T1m;
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T1l = TN - T1a;
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T1b = TN + T1a;
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T1k = FNMS(KP250000000, T1b, Tk);
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T1x = T1r - T1w;
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T1I = T1C - T1H;
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T1J = FMA(KP618033988, T1I, T1x);
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T1L = FNMS(KP618033988, T1x, T1I);
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ri[WS(rs, 5)] = Tk + T1b;
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T1K = FNMS(KP559016994, T1l, T1k);
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ri[WS(rs, 7)] = FNMS(KP951056516, T1L, T1K);
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ri[WS(rs, 3)] = FMA(KP951056516, T1L, T1K);
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T1m = FMA(KP559016994, T1l, T1k);
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ri[WS(rs, 9)] = FNMS(KP951056516, T1J, T1m);
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ri[WS(rs, 1)] = FMA(KP951056516, T1J, T1m);
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}
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{
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E T2i, T2g, T2h, T2m, T2o, T2k, T2l, T2n, T2j;
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T2i = T2e - T2f;
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T2g = T2e + T2f;
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T2h = FNMS(KP250000000, T2g, T2d);
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T2k = Tz - TM;
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T2l = TW - T19;
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T2m = FMA(KP618033988, T2l, T2k);
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T2o = FNMS(KP618033988, T2k, T2l);
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ii[WS(rs, 5)] = T2g + T2d;
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T2n = FNMS(KP559016994, T2i, T2h);
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ii[WS(rs, 3)] = FNMS(KP951056516, T2o, T2n);
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ii[WS(rs, 7)] = FMA(KP951056516, T2o, T2n);
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T2j = FMA(KP559016994, T2i, T2h);
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ii[WS(rs, 1)] = FNMS(KP951056516, T2m, T2j);
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ii[WS(rs, 9)] = FMA(KP951056516, T2m, T2j);
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}
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{
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E T1N, T1j, T1M, T1V, T1X, T1R, T1U, T1W, T1O;
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T1N = T1f - T1i;
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T1j = T1f + T1i;
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T1M = FNMS(KP250000000, T1j, T1c);
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T1R = T1P - T1Q;
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T1U = T1S - T1T;
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T1V = FNMS(KP618033988, T1U, T1R);
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T1X = FMA(KP618033988, T1R, T1U);
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ri[0] = T1c + T1j;
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T1W = FMA(KP559016994, T1N, T1M);
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ri[WS(rs, 4)] = FNMS(KP951056516, T1X, T1W);
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ri[WS(rs, 6)] = FMA(KP951056516, T1X, T1W);
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T1O = FNMS(KP559016994, T1N, T1M);
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ri[WS(rs, 2)] = FNMS(KP951056516, T1V, T1O);
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ri[WS(rs, 8)] = FMA(KP951056516, T1V, T1O);
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}
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{
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E T26, T20, T25, T2a, T2c, T28, T29, T2b, T27;
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T26 = T1Y - T1Z;
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T20 = T1Y + T1Z;
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T25 = FNMS(KP250000000, T20, T24);
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T28 = T1g - T1h;
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T29 = T1d - T1e;
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T2a = FNMS(KP618033988, T29, T28);
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T2c = FMA(KP618033988, T28, T29);
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ii[0] = T20 + T24;
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T2b = FMA(KP559016994, T26, T25);
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ii[WS(rs, 4)] = FMA(KP951056516, T2c, T2b);
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ii[WS(rs, 6)] = FNMS(KP951056516, T2c, T2b);
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T27 = FNMS(KP559016994, T26, T25);
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ii[WS(rs, 2)] = FMA(KP951056516, T2a, T27);
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ii[WS(rs, 8)] = FNMS(KP951056516, T2a, T27);
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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_CEXP, 0, 1 },
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{ TW_CEXP, 0, 3 },
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{ TW_CEXP, 0, 9 },
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{ TW_NEXT, 1, 0 }
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};
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static const ct_desc desc = { 10, "t2_10", twinstr, &GENUS, { 48, 28, 66, 0 }, 0, 0, 0 };
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void X(codelet_t2_10) (planner *p) {
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X(kdft_dit_register) (p, t2_10, &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 -twiddle-log3 -precompute-twiddles -n 10 -name t2_10 -include dft/scalar/t.h */
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/*
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* This function contains 114 FP additions, 80 FP multiplications,
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* (or, 76 additions, 42 multiplications, 38 fused multiply/add),
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* 63 stack variables, 4 constants, and 40 memory accesses
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*/
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#include "dft/scalar/t.h"
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static void t2_10(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
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{
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DK(KP587785252, +0.587785252292473129168705954639072768597652438);
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DK(KP951056516, +0.951056516295153572116439333379382143405698634);
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DK(KP250000000, +0.250000000000000000000000000000000000000000000);
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DK(KP559016994, +0.559016994374947424102293417182819058860154590);
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{
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INT m;
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for (m = mb, W = W + (mb * 6); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 6, MAKE_VOLATILE_STRIDE(20, rs)) {
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E T2, T5, T3, T6, T8, Tm, Tc, Tk, T9, Td, Te, TM, TO, Tg, Tp;
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E Tv, Tx, Tr;
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{
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E T4, Tb, T7, Ta;
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||
|
|
T2 = W[0];
|
||
|
|
T5 = W[1];
|
||
|
|
T3 = W[2];
|
||
|
|
T6 = W[3];
|
||
|
|
T4 = T2 * T3;
|
||
|
|
Tb = T5 * T3;
|
||
|
|
T7 = T5 * T6;
|
||
|
|
Ta = T2 * T6;
|
||
|
|
T8 = T4 - T7;
|
||
|
|
Tm = Ta - Tb;
|
||
|
|
Tc = Ta + Tb;
|
||
|
|
Tk = T4 + T7;
|
||
|
|
T9 = W[4];
|
||
|
|
Td = W[5];
|
||
|
|
Te = FMA(T8, T9, Tc * Td);
|
||
|
|
TM = FMA(T3, T9, T6 * Td);
|
||
|
|
TO = FNMS(T6, T9, T3 * Td);
|
||
|
|
Tg = FNMS(Tc, T9, T8 * Td);
|
||
|
|
Tp = FMA(Tk, T9, Tm * Td);
|
||
|
|
Tv = FMA(T2, T9, T5 * Td);
|
||
|
|
Tx = FNMS(T5, T9, T2 * Td);
|
||
|
|
Tr = FNMS(Tm, T9, Tk * Td);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E Tj, T1S, TX, T1G, TL, TU, TV, T1s, T1t, T1C, T11, T12, T13, T1h, T1k;
|
||
|
|
E T1Q, Tu, TD, TE, T1v, T1w, T1B, TY, TZ, T10, T1a, T1d, T1P;
|
||
|
|
{
|
||
|
|
E T1, T1F, Ti, T1E, Tf, Th;
|
||
|
|
T1 = ri[0];
|
||
|
|
T1F = ii[0];
|
||
|
|
Tf = ri[WS(rs, 5)];
|
||
|
|
Th = ii[WS(rs, 5)];
|
||
|
|
Ti = FMA(Te, Tf, Tg * Th);
|
||
|
|
T1E = FNMS(Tg, Tf, Te * Th);
|
||
|
|
Tj = T1 - Ti;
|
||
|
|
T1S = T1F - T1E;
|
||
|
|
TX = T1 + Ti;
|
||
|
|
T1G = T1E + T1F;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E TH, T1f, TT, T1j, TK, T1g, TQ, T1i;
|
||
|
|
{
|
||
|
|
E TF, TG, TR, TS;
|
||
|
|
TF = ri[WS(rs, 4)];
|
||
|
|
TG = ii[WS(rs, 4)];
|
||
|
|
TH = FMA(T8, TF, Tc * TG);
|
||
|
|
T1f = FNMS(Tc, TF, T8 * TG);
|
||
|
|
TR = ri[WS(rs, 1)];
|
||
|
|
TS = ii[WS(rs, 1)];
|
||
|
|
TT = FMA(T2, TR, T5 * TS);
|
||
|
|
T1j = FNMS(T5, TR, T2 * TS);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E TI, TJ, TN, TP;
|
||
|
|
TI = ri[WS(rs, 9)];
|
||
|
|
TJ = ii[WS(rs, 9)];
|
||
|
|
TK = FMA(T9, TI, Td * TJ);
|
||
|
|
T1g = FNMS(Td, TI, T9 * TJ);
|
||
|
|
TN = ri[WS(rs, 6)];
|
||
|
|
TP = ii[WS(rs, 6)];
|
||
|
|
TQ = FMA(TM, TN, TO * TP);
|
||
|
|
T1i = FNMS(TO, TN, TM * TP);
|
||
|
|
}
|
||
|
|
TL = TH - TK;
|
||
|
|
TU = TQ - TT;
|
||
|
|
TV = TL + TU;
|
||
|
|
T1s = T1f + T1g;
|
||
|
|
T1t = T1i + T1j;
|
||
|
|
T1C = T1s + T1t;
|
||
|
|
T11 = TH + TK;
|
||
|
|
T12 = TQ + TT;
|
||
|
|
T13 = T11 + T12;
|
||
|
|
T1h = T1f - T1g;
|
||
|
|
T1k = T1i - T1j;
|
||
|
|
T1Q = T1h + T1k;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E To, T18, TC, T1c, Tt, T19, Tz, T1b;
|
||
|
|
{
|
||
|
|
E Tl, Tn, TA, TB;
|
||
|
|
Tl = ri[WS(rs, 2)];
|
||
|
|
Tn = ii[WS(rs, 2)];
|
||
|
|
To = FMA(Tk, Tl, Tm * Tn);
|
||
|
|
T18 = FNMS(Tm, Tl, Tk * Tn);
|
||
|
|
TA = ri[WS(rs, 3)];
|
||
|
|
TB = ii[WS(rs, 3)];
|
||
|
|
TC = FMA(T3, TA, T6 * TB);
|
||
|
|
T1c = FNMS(T6, TA, T3 * TB);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E Tq, Ts, Tw, Ty;
|
||
|
|
Tq = ri[WS(rs, 7)];
|
||
|
|
Ts = ii[WS(rs, 7)];
|
||
|
|
Tt = FMA(Tp, Tq, Tr * Ts);
|
||
|
|
T19 = FNMS(Tr, Tq, Tp * Ts);
|
||
|
|
Tw = ri[WS(rs, 8)];
|
||
|
|
Ty = ii[WS(rs, 8)];
|
||
|
|
Tz = FMA(Tv, Tw, Tx * Ty);
|
||
|
|
T1b = FNMS(Tx, Tw, Tv * Ty);
|
||
|
|
}
|
||
|
|
Tu = To - Tt;
|
||
|
|
TD = Tz - TC;
|
||
|
|
TE = Tu + TD;
|
||
|
|
T1v = T18 + T19;
|
||
|
|
T1w = T1b + T1c;
|
||
|
|
T1B = T1v + T1w;
|
||
|
|
TY = To + Tt;
|
||
|
|
TZ = Tz + TC;
|
||
|
|
T10 = TY + TZ;
|
||
|
|
T1a = T18 - T19;
|
||
|
|
T1d = T1b - T1c;
|
||
|
|
T1P = T1a + T1d;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T15, TW, T16, T1m, T1o, T1e, T1l, T1n, T17;
|
||
|
|
T15 = KP559016994 * (TE - TV);
|
||
|
|
TW = TE + TV;
|
||
|
|
T16 = FNMS(KP250000000, TW, Tj);
|
||
|
|
T1e = T1a - T1d;
|
||
|
|
T1l = T1h - T1k;
|
||
|
|
T1m = FMA(KP951056516, T1e, KP587785252 * T1l);
|
||
|
|
T1o = FNMS(KP587785252, T1e, KP951056516 * T1l);
|
||
|
|
ri[WS(rs, 5)] = Tj + TW;
|
||
|
|
T1n = T16 - T15;
|
||
|
|
ri[WS(rs, 7)] = T1n - T1o;
|
||
|
|
ri[WS(rs, 3)] = T1n + T1o;
|
||
|
|
T17 = T15 + T16;
|
||
|
|
ri[WS(rs, 9)] = T17 - T1m;
|
||
|
|
ri[WS(rs, 1)] = T17 + T1m;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T1R, T1T, T1U, T1Y, T20, T1W, T1X, T1Z, T1V;
|
||
|
|
T1R = KP559016994 * (T1P - T1Q);
|
||
|
|
T1T = T1P + T1Q;
|
||
|
|
T1U = FNMS(KP250000000, T1T, T1S);
|
||
|
|
T1W = Tu - TD;
|
||
|
|
T1X = TL - TU;
|
||
|
|
T1Y = FMA(KP951056516, T1W, KP587785252 * T1X);
|
||
|
|
T20 = FNMS(KP587785252, T1W, KP951056516 * T1X);
|
||
|
|
ii[WS(rs, 5)] = T1T + T1S;
|
||
|
|
T1Z = T1U - T1R;
|
||
|
|
ii[WS(rs, 3)] = T1Z - T20;
|
||
|
|
ii[WS(rs, 7)] = T20 + T1Z;
|
||
|
|
T1V = T1R + T1U;
|
||
|
|
ii[WS(rs, 1)] = T1V - T1Y;
|
||
|
|
ii[WS(rs, 9)] = T1Y + T1V;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T1q, T14, T1p, T1y, T1A, T1u, T1x, T1z, T1r;
|
||
|
|
T1q = KP559016994 * (T10 - T13);
|
||
|
|
T14 = T10 + T13;
|
||
|
|
T1p = FNMS(KP250000000, T14, TX);
|
||
|
|
T1u = T1s - T1t;
|
||
|
|
T1x = T1v - T1w;
|
||
|
|
T1y = FNMS(KP587785252, T1x, KP951056516 * T1u);
|
||
|
|
T1A = FMA(KP951056516, T1x, KP587785252 * T1u);
|
||
|
|
ri[0] = TX + T14;
|
||
|
|
T1z = T1q + T1p;
|
||
|
|
ri[WS(rs, 4)] = T1z - T1A;
|
||
|
|
ri[WS(rs, 6)] = T1z + T1A;
|
||
|
|
T1r = T1p - T1q;
|
||
|
|
ri[WS(rs, 2)] = T1r - T1y;
|
||
|
|
ri[WS(rs, 8)] = T1r + T1y;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T1L, T1D, T1K, T1J, T1N, T1H, T1I, T1O, T1M;
|
||
|
|
T1L = KP559016994 * (T1B - T1C);
|
||
|
|
T1D = T1B + T1C;
|
||
|
|
T1K = FNMS(KP250000000, T1D, T1G);
|
||
|
|
T1H = T11 - T12;
|
||
|
|
T1I = TY - TZ;
|
||
|
|
T1J = FNMS(KP587785252, T1I, KP951056516 * T1H);
|
||
|
|
T1N = FMA(KP951056516, T1I, KP587785252 * T1H);
|
||
|
|
ii[0] = T1D + T1G;
|
||
|
|
T1O = T1L + T1K;
|
||
|
|
ii[WS(rs, 4)] = T1N + T1O;
|
||
|
|
ii[WS(rs, 6)] = T1O - T1N;
|
||
|
|
T1M = T1K - T1L;
|
||
|
|
ii[WS(rs, 2)] = T1J + T1M;
|
||
|
|
ii[WS(rs, 8)] = T1M - T1J;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
static const tw_instr twinstr[] = {
|
||
|
|
{ TW_CEXP, 0, 1 },
|
||
|
|
{ TW_CEXP, 0, 3 },
|
||
|
|
{ TW_CEXP, 0, 9 },
|
||
|
|
{ TW_NEXT, 1, 0 }
|
||
|
|
};
|
||
|
|
|
||
|
|
static const ct_desc desc = { 10, "t2_10", twinstr, &GENUS, { 76, 42, 38, 0 }, 0, 0, 0 };
|
||
|
|
|
||
|
|
void X(codelet_t2_10) (planner *p) {
|
||
|
|
X(kdft_dit_register) (p, t2_10, &desc);
|
||
|
|
}
|
||
|
|
#endif
|