837 lines
22 KiB
C
837 lines
22 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 10:44:32 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 16 -name t2_16 -include dft/scalar/t.h */
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/*
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* This function contains 196 FP additions, 134 FP multiplications,
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* (or, 104 additions, 42 multiplications, 92 fused multiply/add),
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* 90 stack variables, 3 constants, and 64 memory accesses
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*/
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#include "dft/scalar/t.h"
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static void t2_16(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
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{
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DK(KP923879532, +0.923879532511286756128183189396788286822416626);
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DK(KP414213562, +0.414213562373095048801688724209698078569671875);
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DK(KP707106781, +0.707106781186547524400844362104849039284835938);
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{
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INT m;
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for (m = mb, W = W + (mb * 8); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 8, MAKE_VOLATILE_STRIDE(32, rs)) {
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E T2, Tf, TM, TO, T3, T6, T5, Th, Tz, Ti, T7, TZ, TT, Tq, TW;
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E Tb, Tu, TP, TI, TF, TC, T1z, T1O, T1D, T1L, Tm, T1f, T1p, T1j, T1m;
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{
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E TN, TS, T4, Tp, Ta, Tt, Tl, Tg;
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T2 = W[0];
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Tf = W[2];
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Tg = T2 * Tf;
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TM = W[6];
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TN = T2 * TM;
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TO = W[7];
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TS = T2 * TO;
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T3 = W[4];
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T4 = T2 * T3;
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Tp = Tf * T3;
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T6 = W[5];
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Ta = T2 * T6;
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Tt = Tf * T6;
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T5 = W[1];
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Th = W[3];
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Tl = T2 * Th;
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Tz = FMA(T5, Th, Tg);
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Ti = FNMS(T5, Th, Tg);
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T7 = FMA(T5, T6, T4);
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TZ = FNMS(Th, T3, Tt);
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TT = FNMS(T5, TM, TS);
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Tq = FNMS(Th, T6, Tp);
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TW = FMA(Th, T6, Tp);
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Tb = FNMS(T5, T3, Ta);
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Tu = FMA(Th, T3, Tt);
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TP = FMA(T5, TO, TN);
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TI = FMA(T5, T3, Ta);
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TF = FNMS(T5, T6, T4);
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{
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E T1y, T1C, T1e, T1i;
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T1y = Tz * T3;
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T1C = Tz * T6;
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TC = FNMS(T5, Tf, Tl);
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T1z = FMA(TC, T6, T1y);
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T1O = FMA(TC, T3, T1C);
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T1D = FNMS(TC, T3, T1C);
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T1L = FNMS(TC, T6, T1y);
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T1e = Ti * T3;
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T1i = Ti * T6;
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Tm = FMA(T5, Tf, Tl);
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T1f = FMA(Tm, T6, T1e);
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T1p = FMA(Tm, T3, T1i);
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T1j = FNMS(Tm, T3, T1i);
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T1m = FNMS(Tm, T6, T1e);
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}
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}
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{
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E Te, T1U, T3A, T3L, T1G, T2D, T2A, T3h, T1R, T2B, T2I, T3i, Tx, T3M, T1Z;
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E T3w, TL, T26, T25, T37, T1d, T2o, T2l, T3c, T1s, T2m, T2t, T3d, T12, T28;
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E T2d, T38;
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{
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E T1, T3z, T8, T9, Tc, T3x, Td, T3y;
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T1 = ri[0];
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T3z = ii[0];
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T8 = ri[WS(rs, 8)];
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T9 = T7 * T8;
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Tc = ii[WS(rs, 8)];
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T3x = T7 * Tc;
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Td = FMA(Tb, Tc, T9);
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Te = T1 + Td;
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T1U = T1 - Td;
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T3y = FNMS(Tb, T8, T3x);
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T3A = T3y + T3z;
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T3L = T3z - T3y;
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}
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{
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E T1u, T1v, T1w, T2w, T1A, T1B, T1E, T2y;
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T1u = ri[WS(rs, 15)];
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T1v = TM * T1u;
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T1w = ii[WS(rs, 15)];
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T2w = TM * T1w;
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T1A = ri[WS(rs, 7)];
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T1B = T1z * T1A;
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T1E = ii[WS(rs, 7)];
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T2y = T1z * T1E;
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{
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E T1x, T1F, T2x, T2z;
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T1x = FMA(TO, T1w, T1v);
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T1F = FMA(T1D, T1E, T1B);
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T1G = T1x + T1F;
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T2D = T1x - T1F;
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T2x = FNMS(TO, T1u, T2w);
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T2z = FNMS(T1D, T1A, T2y);
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T2A = T2x - T2z;
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T3h = T2x + T2z;
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}
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}
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{
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E T1H, T1I, T1J, T2E, T1M, T1N, T1P, T2G;
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T1H = ri[WS(rs, 3)];
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T1I = Tf * T1H;
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T1J = ii[WS(rs, 3)];
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T2E = Tf * T1J;
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T1M = ri[WS(rs, 11)];
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T1N = T1L * T1M;
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T1P = ii[WS(rs, 11)];
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T2G = T1L * T1P;
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{
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E T1K, T1Q, T2F, T2H;
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T1K = FMA(Th, T1J, T1I);
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T1Q = FMA(T1O, T1P, T1N);
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T1R = T1K + T1Q;
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T2B = T1K - T1Q;
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T2F = FNMS(Th, T1H, T2E);
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T2H = FNMS(T1O, T1M, T2G);
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T2I = T2F - T2H;
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T3i = T2F + T2H;
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}
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}
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{
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E Tj, Tk, Tn, T1V, Tr, Ts, Tv, T1X;
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Tj = ri[WS(rs, 4)];
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Tk = Ti * Tj;
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Tn = ii[WS(rs, 4)];
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T1V = Ti * Tn;
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Tr = ri[WS(rs, 12)];
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Ts = Tq * Tr;
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Tv = ii[WS(rs, 12)];
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T1X = Tq * Tv;
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{
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E To, Tw, T1W, T1Y;
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To = FMA(Tm, Tn, Tk);
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Tw = FMA(Tu, Tv, Ts);
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Tx = To + Tw;
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T3M = To - Tw;
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T1W = FNMS(Tm, Tj, T1V);
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T1Y = FNMS(Tu, Tr, T1X);
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T1Z = T1W - T1Y;
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T3w = T1W + T1Y;
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}
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}
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{
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E TA, TB, TD, T21, TG, TH, TJ, T23;
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TA = ri[WS(rs, 2)];
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TB = Tz * TA;
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TD = ii[WS(rs, 2)];
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T21 = Tz * TD;
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TG = ri[WS(rs, 10)];
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TH = TF * TG;
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TJ = ii[WS(rs, 10)];
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T23 = TF * TJ;
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{
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E TE, TK, T22, T24;
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TE = FMA(TC, TD, TB);
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TK = FMA(TI, TJ, TH);
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TL = TE + TK;
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T26 = TE - TK;
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T22 = FNMS(TC, TA, T21);
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T24 = FNMS(TI, TG, T23);
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T25 = T22 - T24;
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T37 = T22 + T24;
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}
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}
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{
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E T15, T16, T17, T2h, T19, T1a, T1b, T2j;
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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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T2h = T2 * T17;
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T19 = ri[WS(rs, 9)];
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T1a = T3 * T19;
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T1b = ii[WS(rs, 9)];
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T2j = T3 * T1b;
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{
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E T18, T1c, T2i, T2k;
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T18 = FMA(T5, T17, T16);
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T1c = FMA(T6, T1b, T1a);
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T1d = T18 + T1c;
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T2o = T18 - T1c;
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T2i = FNMS(T5, T15, T2h);
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T2k = FNMS(T6, T19, T2j);
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T2l = T2i - T2k;
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T3c = T2i + T2k;
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}
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}
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{
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E T1g, T1h, T1k, T2p, T1n, T1o, T1q, T2r;
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T1g = ri[WS(rs, 5)];
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T1h = T1f * T1g;
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T1k = ii[WS(rs, 5)];
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T2p = T1f * T1k;
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T1n = ri[WS(rs, 13)];
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T1o = T1m * T1n;
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T1q = ii[WS(rs, 13)];
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T2r = T1m * T1q;
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{
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E T1l, T1r, T2q, T2s;
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T1l = FMA(T1j, T1k, T1h);
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T1r = FMA(T1p, T1q, T1o);
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T1s = T1l + T1r;
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T2m = T1l - T1r;
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T2q = FNMS(T1j, T1g, T2p);
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T2s = FNMS(T1p, T1n, T2r);
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T2t = T2q - T2s;
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T3d = T2q + T2s;
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}
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}
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{
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E TQ, TR, TU, T29, TX, TY, T10, T2b;
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TQ = ri[WS(rs, 14)];
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TR = TP * TQ;
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TU = ii[WS(rs, 14)];
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T29 = TP * TU;
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TX = ri[WS(rs, 6)];
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TY = TW * TX;
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T10 = ii[WS(rs, 6)];
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T2b = TW * T10;
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{
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E TV, T11, T2a, T2c;
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TV = FMA(TT, TU, TR);
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T11 = FMA(TZ, T10, TY);
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T12 = TV + T11;
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T28 = TV - T11;
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T2a = FNMS(TT, TQ, T29);
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T2c = FNMS(TZ, TX, T2b);
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T2d = T2a - T2c;
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T38 = T2a + T2c;
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}
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}
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{
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E T14, T3q, T3C, T3E, T1T, T3D, T3t, T3u;
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{
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E Ty, T13, T3v, T3B;
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Ty = Te + Tx;
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T13 = TL + T12;
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T14 = Ty + T13;
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T3q = Ty - T13;
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T3v = T37 + T38;
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T3B = T3w + T3A;
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T3C = T3v + T3B;
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T3E = T3B - T3v;
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}
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||
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{
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||
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E T1t, T1S, T3r, T3s;
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||
|
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T1t = T1d + T1s;
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T1S = T1G + T1R;
|
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T1T = T1t + T1S;
|
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T3D = T1S - T1t;
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T3r = T3c + T3d;
|
||
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T3s = T3h + T3i;
|
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T3t = T3r - T3s;
|
||
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T3u = T3r + T3s;
|
||
|
|
}
|
||
|
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ri[WS(rs, 8)] = T14 - T1T;
|
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ii[WS(rs, 8)] = T3C - T3u;
|
||
|
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ri[0] = T14 + T1T;
|
||
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ii[0] = T3u + T3C;
|
||
|
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ri[WS(rs, 12)] = T3q - T3t;
|
||
|
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ii[WS(rs, 12)] = T3E - T3D;
|
||
|
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ri[WS(rs, 4)] = T3q + T3t;
|
||
|
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ii[WS(rs, 4)] = T3D + T3E;
|
||
|
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}
|
||
|
|
{
|
||
|
|
E T3a, T3m, T3H, T3J, T3f, T3n, T3k, T3o;
|
||
|
|
{
|
||
|
|
E T36, T39, T3F, T3G;
|
||
|
|
T36 = Te - Tx;
|
||
|
|
T39 = T37 - T38;
|
||
|
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T3a = T36 + T39;
|
||
|
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T3m = T36 - T39;
|
||
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T3F = T12 - TL;
|
||
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T3G = T3A - T3w;
|
||
|
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T3H = T3F + T3G;
|
||
|
|
T3J = T3G - T3F;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T3b, T3e, T3g, T3j;
|
||
|
|
T3b = T1d - T1s;
|
||
|
|
T3e = T3c - T3d;
|
||
|
|
T3f = T3b + T3e;
|
||
|
|
T3n = T3e - T3b;
|
||
|
|
T3g = T1G - T1R;
|
||
|
|
T3j = T3h - T3i;
|
||
|
|
T3k = T3g - T3j;
|
||
|
|
T3o = T3g + T3j;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T3l, T3I, T3p, T3K;
|
||
|
|
T3l = T3f + T3k;
|
||
|
|
ri[WS(rs, 10)] = FNMS(KP707106781, T3l, T3a);
|
||
|
|
ri[WS(rs, 2)] = FMA(KP707106781, T3l, T3a);
|
||
|
|
T3I = T3n + T3o;
|
||
|
|
ii[WS(rs, 2)] = FMA(KP707106781, T3I, T3H);
|
||
|
|
ii[WS(rs, 10)] = FNMS(KP707106781, T3I, T3H);
|
||
|
|
T3p = T3n - T3o;
|
||
|
|
ri[WS(rs, 14)] = FNMS(KP707106781, T3p, T3m);
|
||
|
|
ri[WS(rs, 6)] = FMA(KP707106781, T3p, T3m);
|
||
|
|
T3K = T3k - T3f;
|
||
|
|
ii[WS(rs, 6)] = FMA(KP707106781, T3K, T3J);
|
||
|
|
ii[WS(rs, 14)] = FNMS(KP707106781, T3K, T3J);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T20, T3N, T3T, T2Q, T2f, T3O, T30, T34, T2T, T3U, T2v, T2N, T2X, T33, T2K;
|
||
|
|
E T2O;
|
||
|
|
{
|
||
|
|
E T27, T2e, T2n, T2u;
|
||
|
|
T20 = T1U - T1Z;
|
||
|
|
T3N = T3L - T3M;
|
||
|
|
T3T = T3M + T3L;
|
||
|
|
T2Q = T1U + T1Z;
|
||
|
|
T27 = T25 - T26;
|
||
|
|
T2e = T28 + T2d;
|
||
|
|
T2f = T27 - T2e;
|
||
|
|
T3O = T27 + T2e;
|
||
|
|
{
|
||
|
|
E T2Y, T2Z, T2R, T2S;
|
||
|
|
T2Y = T2D + T2I;
|
||
|
|
T2Z = T2A - T2B;
|
||
|
|
T30 = FNMS(KP414213562, T2Z, T2Y);
|
||
|
|
T34 = FMA(KP414213562, T2Y, T2Z);
|
||
|
|
T2R = T26 + T25;
|
||
|
|
T2S = T28 - T2d;
|
||
|
|
T2T = T2R + T2S;
|
||
|
|
T3U = T2S - T2R;
|
||
|
|
}
|
||
|
|
T2n = T2l + T2m;
|
||
|
|
T2u = T2o - T2t;
|
||
|
|
T2v = FMA(KP414213562, T2u, T2n);
|
||
|
|
T2N = FNMS(KP414213562, T2n, T2u);
|
||
|
|
{
|
||
|
|
E T2V, T2W, T2C, T2J;
|
||
|
|
T2V = T2o + T2t;
|
||
|
|
T2W = T2l - T2m;
|
||
|
|
T2X = FMA(KP414213562, T2W, T2V);
|
||
|
|
T33 = FNMS(KP414213562, T2V, T2W);
|
||
|
|
T2C = T2A + T2B;
|
||
|
|
T2J = T2D - T2I;
|
||
|
|
T2K = FNMS(KP414213562, T2J, T2C);
|
||
|
|
T2O = FMA(KP414213562, T2C, T2J);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T2g, T2L, T3V, T3W;
|
||
|
|
T2g = FMA(KP707106781, T2f, T20);
|
||
|
|
T2L = T2v - T2K;
|
||
|
|
ri[WS(rs, 11)] = FNMS(KP923879532, T2L, T2g);
|
||
|
|
ri[WS(rs, 3)] = FMA(KP923879532, T2L, T2g);
|
||
|
|
T3V = FMA(KP707106781, T3U, T3T);
|
||
|
|
T3W = T2O - T2N;
|
||
|
|
ii[WS(rs, 3)] = FMA(KP923879532, T3W, T3V);
|
||
|
|
ii[WS(rs, 11)] = FNMS(KP923879532, T3W, T3V);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T2M, T2P, T3X, T3Y;
|
||
|
|
T2M = FNMS(KP707106781, T2f, T20);
|
||
|
|
T2P = T2N + T2O;
|
||
|
|
ri[WS(rs, 7)] = FNMS(KP923879532, T2P, T2M);
|
||
|
|
ri[WS(rs, 15)] = FMA(KP923879532, T2P, T2M);
|
||
|
|
T3X = FNMS(KP707106781, T3U, T3T);
|
||
|
|
T3Y = T2v + T2K;
|
||
|
|
ii[WS(rs, 7)] = FNMS(KP923879532, T3Y, T3X);
|
||
|
|
ii[WS(rs, 15)] = FMA(KP923879532, T3Y, T3X);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T2U, T31, T3P, T3Q;
|
||
|
|
T2U = FMA(KP707106781, T2T, T2Q);
|
||
|
|
T31 = T2X + T30;
|
||
|
|
ri[WS(rs, 9)] = FNMS(KP923879532, T31, T2U);
|
||
|
|
ri[WS(rs, 1)] = FMA(KP923879532, T31, T2U);
|
||
|
|
T3P = FMA(KP707106781, T3O, T3N);
|
||
|
|
T3Q = T33 + T34;
|
||
|
|
ii[WS(rs, 1)] = FMA(KP923879532, T3Q, T3P);
|
||
|
|
ii[WS(rs, 9)] = FNMS(KP923879532, T3Q, T3P);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T32, T35, T3R, T3S;
|
||
|
|
T32 = FNMS(KP707106781, T2T, T2Q);
|
||
|
|
T35 = T33 - T34;
|
||
|
|
ri[WS(rs, 13)] = FNMS(KP923879532, T35, T32);
|
||
|
|
ri[WS(rs, 5)] = FMA(KP923879532, T35, T32);
|
||
|
|
T3R = FNMS(KP707106781, T3O, T3N);
|
||
|
|
T3S = T30 - T2X;
|
||
|
|
ii[WS(rs, 5)] = FMA(KP923879532, T3S, T3R);
|
||
|
|
ii[WS(rs, 13)] = FNMS(KP923879532, T3S, T3R);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
static const tw_instr twinstr[] = {
|
||
|
|
{ TW_CEXP, 0, 1 },
|
||
|
|
{ TW_CEXP, 0, 3 },
|
||
|
|
{ TW_CEXP, 0, 9 },
|
||
|
|
{ TW_CEXP, 0, 15 },
|
||
|
|
{ TW_NEXT, 1, 0 }
|
||
|
|
};
|
||
|
|
|
||
|
|
static const ct_desc desc = { 16, "t2_16", twinstr, &GENUS, { 104, 42, 92, 0 }, 0, 0, 0 };
|
||
|
|
|
||
|
|
void X(codelet_t2_16) (planner *p) {
|
||
|
|
X(kdft_dit_register) (p, t2_16, &desc);
|
||
|
|
}
|
||
|
|
#else
|
||
|
|
|
||
|
|
/* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -name t2_16 -include dft/scalar/t.h */
|
||
|
|
|
||
|
|
/*
|
||
|
|
* This function contains 196 FP additions, 108 FP multiplications,
|
||
|
|
* (or, 156 additions, 68 multiplications, 40 fused multiply/add),
|
||
|
|
* 82 stack variables, 3 constants, and 64 memory accesses
|
||
|
|
*/
|
||
|
|
#include "dft/scalar/t.h"
|
||
|
|
|
||
|
|
static void t2_16(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
|
||
|
|
{
|
||
|
|
DK(KP382683432, +0.382683432365089771728459984030398866761344562);
|
||
|
|
DK(KP923879532, +0.923879532511286756128183189396788286822416626);
|
||
|
|
DK(KP707106781, +0.707106781186547524400844362104849039284835938);
|
||
|
|
{
|
||
|
|
INT m;
|
||
|
|
for (m = mb, W = W + (mb * 8); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 8, MAKE_VOLATILE_STRIDE(32, rs)) {
|
||
|
|
E T2, T5, Tg, Ti, Tk, To, TE, TC, T6, T3, T8, TW, TJ, Tt, TU;
|
||
|
|
E Tc, Tx, TH, TN, TO, TP, TR, T1f, T1k, T1b, T1i, T1y, T1H, T1u, T1F;
|
||
|
|
{
|
||
|
|
E T7, Tv, Ta, Ts, T4, Tw, Tb, Tr;
|
||
|
|
{
|
||
|
|
E Th, Tn, Tj, Tm;
|
||
|
|
T2 = W[0];
|
||
|
|
T5 = W[1];
|
||
|
|
Tg = W[2];
|
||
|
|
Ti = W[3];
|
||
|
|
Th = T2 * Tg;
|
||
|
|
Tn = T5 * Tg;
|
||
|
|
Tj = T5 * Ti;
|
||
|
|
Tm = T2 * Ti;
|
||
|
|
Tk = Th - Tj;
|
||
|
|
To = Tm + Tn;
|
||
|
|
TE = Tm - Tn;
|
||
|
|
TC = Th + Tj;
|
||
|
|
T6 = W[5];
|
||
|
|
T7 = T5 * T6;
|
||
|
|
Tv = Tg * T6;
|
||
|
|
Ta = T2 * T6;
|
||
|
|
Ts = Ti * T6;
|
||
|
|
T3 = W[4];
|
||
|
|
T4 = T2 * T3;
|
||
|
|
Tw = Ti * T3;
|
||
|
|
Tb = T5 * T3;
|
||
|
|
Tr = Tg * T3;
|
||
|
|
}
|
||
|
|
T8 = T4 + T7;
|
||
|
|
TW = Tv - Tw;
|
||
|
|
TJ = Ta + Tb;
|
||
|
|
Tt = Tr - Ts;
|
||
|
|
TU = Tr + Ts;
|
||
|
|
Tc = Ta - Tb;
|
||
|
|
Tx = Tv + Tw;
|
||
|
|
TH = T4 - T7;
|
||
|
|
TN = W[6];
|
||
|
|
TO = W[7];
|
||
|
|
TP = FMA(T2, TN, T5 * TO);
|
||
|
|
TR = FNMS(T5, TN, T2 * TO);
|
||
|
|
{
|
||
|
|
E T1d, T1e, T19, T1a;
|
||
|
|
T1d = Tk * T6;
|
||
|
|
T1e = To * T3;
|
||
|
|
T1f = T1d - T1e;
|
||
|
|
T1k = T1d + T1e;
|
||
|
|
T19 = Tk * T3;
|
||
|
|
T1a = To * T6;
|
||
|
|
T1b = T19 + T1a;
|
||
|
|
T1i = T19 - T1a;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T1w, T1x, T1s, T1t;
|
||
|
|
T1w = TC * T6;
|
||
|
|
T1x = TE * T3;
|
||
|
|
T1y = T1w - T1x;
|
||
|
|
T1H = T1w + T1x;
|
||
|
|
T1s = TC * T3;
|
||
|
|
T1t = TE * T6;
|
||
|
|
T1u = T1s + T1t;
|
||
|
|
T1F = T1s - T1t;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E Tf, T3r, T1N, T3e, TA, T3s, T1Q, T3b, TM, T2M, T1W, T2w, TZ, T2N, T21;
|
||
|
|
E T2x, T1B, T1K, T2V, T2W, T2X, T2Y, T2j, T2D, T2o, T2E, T18, T1n, T2Q, T2R;
|
||
|
|
E T2S, T2T, T28, T2A, T2d, T2B;
|
||
|
|
{
|
||
|
|
E T1, T3d, Te, T3c, T9, Td;
|
||
|
|
T1 = ri[0];
|
||
|
|
T3d = ii[0];
|
||
|
|
T9 = ri[WS(rs, 8)];
|
||
|
|
Td = ii[WS(rs, 8)];
|
||
|
|
Te = FMA(T8, T9, Tc * Td);
|
||
|
|
T3c = FNMS(Tc, T9, T8 * Td);
|
||
|
|
Tf = T1 + Te;
|
||
|
|
T3r = T3d - T3c;
|
||
|
|
T1N = T1 - Te;
|
||
|
|
T3e = T3c + T3d;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E Tq, T1O, Tz, T1P;
|
||
|
|
{
|
||
|
|
E Tl, Tp, Tu, Ty;
|
||
|
|
Tl = ri[WS(rs, 4)];
|
||
|
|
Tp = ii[WS(rs, 4)];
|
||
|
|
Tq = FMA(Tk, Tl, To * Tp);
|
||
|
|
T1O = FNMS(To, Tl, Tk * Tp);
|
||
|
|
Tu = ri[WS(rs, 12)];
|
||
|
|
Ty = ii[WS(rs, 12)];
|
||
|
|
Tz = FMA(Tt, Tu, Tx * Ty);
|
||
|
|
T1P = FNMS(Tx, Tu, Tt * Ty);
|
||
|
|
}
|
||
|
|
TA = Tq + Tz;
|
||
|
|
T3s = Tq - Tz;
|
||
|
|
T1Q = T1O - T1P;
|
||
|
|
T3b = T1O + T1P;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E TG, T1S, TL, T1T, T1U, T1V;
|
||
|
|
{
|
||
|
|
E TD, TF, TI, TK;
|
||
|
|
TD = ri[WS(rs, 2)];
|
||
|
|
TF = ii[WS(rs, 2)];
|
||
|
|
TG = FMA(TC, TD, TE * TF);
|
||
|
|
T1S = FNMS(TE, TD, TC * TF);
|
||
|
|
TI = ri[WS(rs, 10)];
|
||
|
|
TK = ii[WS(rs, 10)];
|
||
|
|
TL = FMA(TH, TI, TJ * TK);
|
||
|
|
T1T = FNMS(TJ, TI, TH * TK);
|
||
|
|
}
|
||
|
|
TM = TG + TL;
|
||
|
|
T2M = T1S + T1T;
|
||
|
|
T1U = T1S - T1T;
|
||
|
|
T1V = TG - TL;
|
||
|
|
T1W = T1U - T1V;
|
||
|
|
T2w = T1V + T1U;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E TT, T1Y, TY, T1Z, T1X, T20;
|
||
|
|
{
|
||
|
|
E TQ, TS, TV, TX;
|
||
|
|
TQ = ri[WS(rs, 14)];
|
||
|
|
TS = ii[WS(rs, 14)];
|
||
|
|
TT = FMA(TP, TQ, TR * TS);
|
||
|
|
T1Y = FNMS(TR, TQ, TP * TS);
|
||
|
|
TV = ri[WS(rs, 6)];
|
||
|
|
TX = ii[WS(rs, 6)];
|
||
|
|
TY = FMA(TU, TV, TW * TX);
|
||
|
|
T1Z = FNMS(TW, TV, TU * TX);
|
||
|
|
}
|
||
|
|
TZ = TT + TY;
|
||
|
|
T2N = T1Y + T1Z;
|
||
|
|
T1X = TT - TY;
|
||
|
|
T20 = T1Y - T1Z;
|
||
|
|
T21 = T1X + T20;
|
||
|
|
T2x = T1X - T20;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T1r, T2k, T1J, T2h, T1A, T2l, T1E, T2g;
|
||
|
|
{
|
||
|
|
E T1p, T1q, T1G, T1I;
|
||
|
|
T1p = ri[WS(rs, 15)];
|
||
|
|
T1q = ii[WS(rs, 15)];
|
||
|
|
T1r = FMA(TN, T1p, TO * T1q);
|
||
|
|
T2k = FNMS(TO, T1p, TN * T1q);
|
||
|
|
T1G = ri[WS(rs, 11)];
|
||
|
|
T1I = ii[WS(rs, 11)];
|
||
|
|
T1J = FMA(T1F, T1G, T1H * T1I);
|
||
|
|
T2h = FNMS(T1H, T1G, T1F * T1I);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T1v, T1z, T1C, T1D;
|
||
|
|
T1v = ri[WS(rs, 7)];
|
||
|
|
T1z = ii[WS(rs, 7)];
|
||
|
|
T1A = FMA(T1u, T1v, T1y * T1z);
|
||
|
|
T2l = FNMS(T1y, T1v, T1u * T1z);
|
||
|
|
T1C = ri[WS(rs, 3)];
|
||
|
|
T1D = ii[WS(rs, 3)];
|
||
|
|
T1E = FMA(Tg, T1C, Ti * T1D);
|
||
|
|
T2g = FNMS(Ti, T1C, Tg * T1D);
|
||
|
|
}
|
||
|
|
T1B = T1r + T1A;
|
||
|
|
T1K = T1E + T1J;
|
||
|
|
T2V = T1B - T1K;
|
||
|
|
T2W = T2k + T2l;
|
||
|
|
T2X = T2g + T2h;
|
||
|
|
T2Y = T2W - T2X;
|
||
|
|
{
|
||
|
|
E T2f, T2i, T2m, T2n;
|
||
|
|
T2f = T1r - T1A;
|
||
|
|
T2i = T2g - T2h;
|
||
|
|
T2j = T2f - T2i;
|
||
|
|
T2D = T2f + T2i;
|
||
|
|
T2m = T2k - T2l;
|
||
|
|
T2n = T1E - T1J;
|
||
|
|
T2o = T2m + T2n;
|
||
|
|
T2E = T2m - T2n;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T14, T24, T1m, T2b, T17, T25, T1h, T2a;
|
||
|
|
{
|
||
|
|
E T12, T13, T1j, T1l;
|
||
|
|
T12 = ri[WS(rs, 1)];
|
||
|
|
T13 = ii[WS(rs, 1)];
|
||
|
|
T14 = FMA(T2, T12, T5 * T13);
|
||
|
|
T24 = FNMS(T5, T12, T2 * T13);
|
||
|
|
T1j = ri[WS(rs, 13)];
|
||
|
|
T1l = ii[WS(rs, 13)];
|
||
|
|
T1m = FMA(T1i, T1j, T1k * T1l);
|
||
|
|
T2b = FNMS(T1k, T1j, T1i * T1l);
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T15, T16, T1c, T1g;
|
||
|
|
T15 = ri[WS(rs, 9)];
|
||
|
|
T16 = ii[WS(rs, 9)];
|
||
|
|
T17 = FMA(T3, T15, T6 * T16);
|
||
|
|
T25 = FNMS(T6, T15, T3 * T16);
|
||
|
|
T1c = ri[WS(rs, 5)];
|
||
|
|
T1g = ii[WS(rs, 5)];
|
||
|
|
T1h = FMA(T1b, T1c, T1f * T1g);
|
||
|
|
T2a = FNMS(T1f, T1c, T1b * T1g);
|
||
|
|
}
|
||
|
|
T18 = T14 + T17;
|
||
|
|
T1n = T1h + T1m;
|
||
|
|
T2Q = T18 - T1n;
|
||
|
|
T2R = T24 + T25;
|
||
|
|
T2S = T2a + T2b;
|
||
|
|
T2T = T2R - T2S;
|
||
|
|
{
|
||
|
|
E T26, T27, T29, T2c;
|
||
|
|
T26 = T24 - T25;
|
||
|
|
T27 = T1h - T1m;
|
||
|
|
T28 = T26 + T27;
|
||
|
|
T2A = T26 - T27;
|
||
|
|
T29 = T14 - T17;
|
||
|
|
T2c = T2a - T2b;
|
||
|
|
T2d = T29 - T2c;
|
||
|
|
T2B = T29 + T2c;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T23, T2r, T3A, T3C, T2q, T3B, T2u, T3x;
|
||
|
|
{
|
||
|
|
E T1R, T22, T3y, T3z;
|
||
|
|
T1R = T1N - T1Q;
|
||
|
|
T22 = KP707106781 * (T1W - T21);
|
||
|
|
T23 = T1R + T22;
|
||
|
|
T2r = T1R - T22;
|
||
|
|
T3y = KP707106781 * (T2x - T2w);
|
||
|
|
T3z = T3s + T3r;
|
||
|
|
T3A = T3y + T3z;
|
||
|
|
T3C = T3z - T3y;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T2e, T2p, T2s, T2t;
|
||
|
|
T2e = FMA(KP923879532, T28, KP382683432 * T2d);
|
||
|
|
T2p = FNMS(KP923879532, T2o, KP382683432 * T2j);
|
||
|
|
T2q = T2e + T2p;
|
||
|
|
T3B = T2p - T2e;
|
||
|
|
T2s = FNMS(KP923879532, T2d, KP382683432 * T28);
|
||
|
|
T2t = FMA(KP382683432, T2o, KP923879532 * T2j);
|
||
|
|
T2u = T2s - T2t;
|
||
|
|
T3x = T2s + T2t;
|
||
|
|
}
|
||
|
|
ri[WS(rs, 11)] = T23 - T2q;
|
||
|
|
ii[WS(rs, 11)] = T3A - T3x;
|
||
|
|
ri[WS(rs, 3)] = T23 + T2q;
|
||
|
|
ii[WS(rs, 3)] = T3x + T3A;
|
||
|
|
ri[WS(rs, 15)] = T2r - T2u;
|
||
|
|
ii[WS(rs, 15)] = T3C - T3B;
|
||
|
|
ri[WS(rs, 7)] = T2r + T2u;
|
||
|
|
ii[WS(rs, 7)] = T3B + T3C;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T2P, T31, T3m, T3o, T30, T3n, T34, T3j;
|
||
|
|
{
|
||
|
|
E T2L, T2O, T3k, T3l;
|
||
|
|
T2L = Tf - TA;
|
||
|
|
T2O = T2M - T2N;
|
||
|
|
T2P = T2L + T2O;
|
||
|
|
T31 = T2L - T2O;
|
||
|
|
T3k = TZ - TM;
|
||
|
|
T3l = T3e - T3b;
|
||
|
|
T3m = T3k + T3l;
|
||
|
|
T3o = T3l - T3k;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T2U, T2Z, T32, T33;
|
||
|
|
T2U = T2Q + T2T;
|
||
|
|
T2Z = T2V - T2Y;
|
||
|
|
T30 = KP707106781 * (T2U + T2Z);
|
||
|
|
T3n = KP707106781 * (T2Z - T2U);
|
||
|
|
T32 = T2T - T2Q;
|
||
|
|
T33 = T2V + T2Y;
|
||
|
|
T34 = KP707106781 * (T32 - T33);
|
||
|
|
T3j = KP707106781 * (T32 + T33);
|
||
|
|
}
|
||
|
|
ri[WS(rs, 10)] = T2P - T30;
|
||
|
|
ii[WS(rs, 10)] = T3m - T3j;
|
||
|
|
ri[WS(rs, 2)] = T2P + T30;
|
||
|
|
ii[WS(rs, 2)] = T3j + T3m;
|
||
|
|
ri[WS(rs, 14)] = T31 - T34;
|
||
|
|
ii[WS(rs, 14)] = T3o - T3n;
|
||
|
|
ri[WS(rs, 6)] = T31 + T34;
|
||
|
|
ii[WS(rs, 6)] = T3n + T3o;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T2z, T2H, T3u, T3w, T2G, T3v, T2K, T3p;
|
||
|
|
{
|
||
|
|
E T2v, T2y, T3q, T3t;
|
||
|
|
T2v = T1N + T1Q;
|
||
|
|
T2y = KP707106781 * (T2w + T2x);
|
||
|
|
T2z = T2v + T2y;
|
||
|
|
T2H = T2v - T2y;
|
||
|
|
T3q = KP707106781 * (T1W + T21);
|
||
|
|
T3t = T3r - T3s;
|
||
|
|
T3u = T3q + T3t;
|
||
|
|
T3w = T3t - T3q;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T2C, T2F, T2I, T2J;
|
||
|
|
T2C = FMA(KP382683432, T2A, KP923879532 * T2B);
|
||
|
|
T2F = FNMS(KP382683432, T2E, KP923879532 * T2D);
|
||
|
|
T2G = T2C + T2F;
|
||
|
|
T3v = T2F - T2C;
|
||
|
|
T2I = FNMS(KP382683432, T2B, KP923879532 * T2A);
|
||
|
|
T2J = FMA(KP923879532, T2E, KP382683432 * T2D);
|
||
|
|
T2K = T2I - T2J;
|
||
|
|
T3p = T2I + T2J;
|
||
|
|
}
|
||
|
|
ri[WS(rs, 9)] = T2z - T2G;
|
||
|
|
ii[WS(rs, 9)] = T3u - T3p;
|
||
|
|
ri[WS(rs, 1)] = T2z + T2G;
|
||
|
|
ii[WS(rs, 1)] = T3p + T3u;
|
||
|
|
ri[WS(rs, 13)] = T2H - T2K;
|
||
|
|
ii[WS(rs, 13)] = T3w - T3v;
|
||
|
|
ri[WS(rs, 5)] = T2H + T2K;
|
||
|
|
ii[WS(rs, 5)] = T3v + T3w;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T11, T35, T3g, T3i, T1M, T3h, T38, T39;
|
||
|
|
{
|
||
|
|
E TB, T10, T3a, T3f;
|
||
|
|
TB = Tf + TA;
|
||
|
|
T10 = TM + TZ;
|
||
|
|
T11 = TB + T10;
|
||
|
|
T35 = TB - T10;
|
||
|
|
T3a = T2M + T2N;
|
||
|
|
T3f = T3b + T3e;
|
||
|
|
T3g = T3a + T3f;
|
||
|
|
T3i = T3f - T3a;
|
||
|
|
}
|
||
|
|
{
|
||
|
|
E T1o, T1L, T36, T37;
|
||
|
|
T1o = T18 + T1n;
|
||
|
|
T1L = T1B + T1K;
|
||
|
|
T1M = T1o + T1L;
|
||
|
|
T3h = T1L - T1o;
|
||
|
|
T36 = T2R + T2S;
|
||
|
|
T37 = T2W + T2X;
|
||
|
|
T38 = T36 - T37;
|
||
|
|
T39 = T36 + T37;
|
||
|
|
}
|
||
|
|
ri[WS(rs, 8)] = T11 - T1M;
|
||
|
|
ii[WS(rs, 8)] = T3g - T39;
|
||
|
|
ri[0] = T11 + T1M;
|
||
|
|
ii[0] = T39 + T3g;
|
||
|
|
ri[WS(rs, 12)] = T35 - T38;
|
||
|
|
ii[WS(rs, 12)] = T3i - T3h;
|
||
|
|
ri[WS(rs, 4)] = T35 + T38;
|
||
|
|
ii[WS(rs, 4)] = T3h + T3i;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
static const tw_instr twinstr[] = {
|
||
|
|
{ TW_CEXP, 0, 1 },
|
||
|
|
{ TW_CEXP, 0, 3 },
|
||
|
|
{ TW_CEXP, 0, 9 },
|
||
|
|
{ TW_CEXP, 0, 15 },
|
||
|
|
{ TW_NEXT, 1, 0 }
|
||
|
|
};
|
||
|
|
|
||
|
|
static const ct_desc desc = { 16, "t2_16", twinstr, &GENUS, { 156, 68, 40, 0 }, 0, 0, 0 };
|
||
|
|
|
||
|
|
void X(codelet_t2_16) (planner *p) {
|
||
|
|
X(kdft_dit_register) (p, t2_16, &desc);
|
||
|
|
}
|
||
|
|
#endif
|