/*
* Copyright (c) 2003 Matteo Frigo
* Copyright (c) 2003 Massachusetts Institute of Technology
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*/
/* This file was automatically generated --- DO NOT EDIT */
/* Generated on Sat Jul 5 21:30:12 EDT 2003 */
#include "codelet-dft.h"
/* Generated by: /homee/stevenj/cvs/fftw3.0.1/genfft/gen_twiddle -compact -variables 4 -twiddle-log3 -n 16 -name t2_16 -include t.h */
/*
* This function contains 196 FP additions, 108 FP multiplications,
* (or, 156 additions, 68 multiplications, 40 fused multiply/add),
* 104 stack variables, and 64 memory accesses
*/
/*
* Generator Id's :
* $Id: t2_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $
* $Id: t2_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $
* $Id: t2_16.c,v 1.1 2008/10/17 06:11:09 scuri Exp $
*/
#include "t.h"
static const R *t2_16(R *ri, R *ii, const R *W, stride ios, int m, int dist)
{
DK(KP382683432, +0.382683432365089771728459984030398866761344562);
DK(KP923879532, +0.923879532511286756128183189396788286822416626);
DK(KP707106781, +0.707106781186547524400844362104849039284835938);
int i;
for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 8) {
E T1, T3d, T18, T26, T29, T2R, Tq, T1r, T1E, T2k, T2g, T1O, Te, T3c, Tz;
E T1P, T1S, T1T, T1U, TG, TL, T1V, T1Y, T1Z, T20, TT, TY, T1X, T1A, T2l;
E T1J, T2h, T1h, T2b, T1m, T2a;
T1 = ri[0];
T3d = ii[0];
{
E T9, Td, Tl, Tp, Ty, Tu, TD, TF, TI, TK, TV, TQ, TS, TX, T1z;
E T1v, T1C, T1D, T1G, T1I, T1q, T1p, T1l, T1j, T1c, T1g, T2, T5, Ti, Tg;
E T4, Tw, Ts, Ta, Tv, T7, Tb, Tr, Tk, TW, TJ, TC, TU, To, TE;
E TH, T14, T24, T17, T25, TN, TO, TP, TR;
T9 = ri[WS(ios, 8)];
Td = ii[WS(ios, 8)];
Tl = ri[WS(ios, 4)];
Tp = ii[WS(ios, 4)];
Ty = ii[WS(ios, 12)];
Tu = ri[WS(ios, 12)];
TD = ri[WS(ios, 2)];
TF = ii[WS(ios, 2)];
TI = ri[WS(ios, 10)];
TK = ii[WS(ios, 10)];
TV = ri[WS(ios, 6)];
TQ = ri[WS(ios, 14)];
TS = ii[WS(ios, 14)];
TX = ii[WS(ios, 6)];
T1z = ii[WS(ios, 7)];
T1v = ri[WS(ios, 7)];
T1C = ri[WS(ios, 3)];
T1D = ii[WS(ios, 3)];
T1G = ri[WS(ios, 11)];
T1I = ii[WS(ios, 11)];
T1q = ii[WS(ios, 15)];
T1p = ri[WS(ios, 15)];
T1l = ii[WS(ios, 13)];
T1j = ri[WS(ios, 13)];
T1c = ri[WS(ios, 5)];
T1g = ii[WS(ios, 5)];
{
E T12, T13, T15, T16, T3, T6, Tm, Tj, Tn, Th;
T12 = ri[WS(ios, 1)];
T13 = ii[WS(ios, 1)];
T15 = ri[WS(ios, 9)];
T16 = ii[WS(ios, 9)];
T2 = W[4];
T5 = W[5];
T3 = W[0];
T6 = W[1];
Ti = W[3];
Tg = W[2];
T4 = T2 * T3;
Tw = T5 * Tg;
Ts = T5 * Ti;
Ta = T2 * T6;
Tv = T2 * Ti;
T7 = T5 * T6;
Tb = T5 * T3;
Tr = T2 * Tg;
Tm = Tg * T6;
Tj = Ti * T6;
Tn = Ti * T3;
Th = Tg * T3;
Tk = Th - Tj;
TW = Tv - Tw;
TJ = Ta + Tb;
TC = Th + Tj;
TU = Tr + Ts;
To = Tm + Tn;
TE = Tm - Tn;
TH = T4 - T7;
T14 = FMA(T3, T12, T6 * T13);
T24 = FNMS(T6, T12, T3 * T13);
T17 = FMA(T2, T15, T5 * T16);
T25 = FNMS(T5, T15, T2 * T16);
TN = W[6];
TO = W[7];
TP = FMA(TN, T3, TO * T6);
TR = FNMS(TO, T3, TN * T6);
}
T18 = T14 + T17;
T26 = T24 - T25;
T29 = T14 - T17;
T2R = T24 + T25;
Tq = FMA(Tk, Tl, To * Tp);
T1r = FMA(TN, T1p, TO * T1q);
T1E = FMA(Tg, T1C, Ti * T1D);
T2k = FNMS(TO, T1p, TN * T1q);
T2g = FNMS(Ti, T1C, Tg * T1D);
{
E T8, Tc, Tt, Tx;
T1O = FNMS(To, Tl, Tk * Tp);
T8 = T4 + T7;
Tc = Ta - Tb;
Te = FNMS(Tc, Td, T8 * T9);
T3c = FMA(Tc, T9, T8 * Td);
Tt = Tr - Ts;
Tx = Tv + Tw;
Tz = FMA(Tt, Tu, Tx * Ty);
T1P = FNMS(Tx, Tu, Tt * Ty);
T1S = FMA(TE, TD, TC * TF);
T1T = FNMS(TJ, TI, TH * TK);
T1U = T1S - T1T;
}
TG = FNMS(TE, TF, TC * TD);
TL = FMA(TH, TI, TJ * TK);
T1V = TG - TL;
T1Y = FMA(TR, TQ, TP * TS);
T1Z = FMA(TW, TV, TU * TX);
T20 = T1Y - T1Z;
TT = FNMS(TR, TS, TP * TQ);
TY = FNMS(TW, TX, TU * TV);
T1X = TT - TY;
{
E T1u, T1F, T1y, T1H;
{
E T1s, T1t, T1w, T1x;
T1s = T2 * TC;
T1t = T5 * TE;
T1u = T1s - T1t;
T1F = T1s + T1t;
T1w = T2 * TE;
T1x = T5 * TC;
T1y = T1w + T1x;
T1H = T1w - T1x;
}
T1A = FMA(T1u, T1v, T1y * T1z);
T2l = FNMS(T1y, T1v, T1u * T1z);
T1J = FNMS(T1H, T1I, T1F * T1G);
T2h = FMA(T1H, T1G, T1F * T1I);
}
{
E T1b, T1i, T1f, T1k;
{
E T19, T1a, T1d, T1e;
T19 = T2 * Tk;
T1a = T5 * To;
T1b = T19 + T1a;
T1i = T19 - T1a;
T1d = T2 * To;
T1e = T5 * Tk;
T1f = T1d - T1e;
T1k = T1d + T1e;
}
T1h = FNMS(T1f, T1g, T1b * T1c);
T2b = FNMS(T1k, T1j, T1i * T1l);
T1m = FMA(T1i, T1j, T1k * T1l);
T2a = FMA(T1f, T1c, T1b * T1g);
}
}
{
E TB, T2L, T10, T3k, T3f, T3l, T2O, T3a, T1o, T36, T2U, T32, T1L, T37, T2Z;
E T33;
{
E Tf, TA, T2M, T2N;
Tf = T1 + Te;
TA = Tq + Tz;
TB = Tf + TA;
T2L = Tf - TA;
{
E TM, TZ, T3b, T3e;
TM = TG + TL;
TZ = TT + TY;
T10 = TM + TZ;
T3k = TZ - TM;
T3b = T1O + T1P;
T3e = T3c + T3d;
T3f = T3b + T3e;
T3l = T3e - T3b;
}
T2M = T1S + T1T;
T2N = T1Y + T1Z;
T2O = T2M - T2N;
T3a = T2M + T2N;
{
E T1n, T2Q, T2S, T2T;
T1n = T1h + T1m;
T2Q = T18 - T1n;
T2S = T2a + T2b;
T2T = T2R - T2S;
T1o = T18 + T1n;
T36 = T2R + T2S;
T2U = T2Q + T2T;
T32 = T2T - T2Q;
}
{
E T1B, T1K, T2V, T2W, T2X, T2Y;
T1B = T1r + T1A;
T1K = T1E + T1J;
T2V = T1B - T1K;
T2W = T2k + T2l;
T2X = T2g + T2h;
T2Y = T2W - T2X;
T1L = T1B + T1K;
T37 = T2W + T2X;
T2Z = T2V - T2Y;
T33 = T2V + T2Y;
}
}
{
E T11, T1M, T39, T3g;
T11 = TB + T10;
T1M = T1o + T1L;
ri[WS(ios, 8)] = T11 - T1M;
ri[0] = T11 + T1M;
T39 = T36 + T37;
T3g = T3a + T3f;
ii[0] = T39 + T3g;
ii[WS(ios, 8)] = T3g - T39;
}
{
E T2P, T30, T3j, T3m;
T2P = T2L + T2O;
T30 = KP707106781 * (T2U + T2Z);
ri[WS(ios, 10)] = T2P - T30;
ri[WS(ios, 2)] = T2P + T30;
T3j = KP707106781 * (T32 + T33);
T3m = T3k + T3l;
ii[WS(ios, 2)] = T3j + T3m;
ii[WS(ios, 10)] = T3m - T3j;
}
{
E T31, T34, T3n, T3o;
T31 = T2L - T2O;
T34 = KP707106781 * (T32 - T33);
ri[WS(ios, 14)] = T31 - T34;
ri[WS(ios, 6)] = T31 + T34;
T3n = KP707106781 * (T2Z - T2U);
T3o = T3l - T3k;
ii[WS(ios, 6)] = T3n + T3o;
ii[WS(ios, 14)] = T3o - T3n;
}
{
E T35, T38, T3h, T3i;
T35 = TB - T10;
T38 = T36 - T37;
ri[WS(ios, 12)] = T35 - T38;
ri[WS(ios, 4)] = T35 + T38;
T3h = T1L - T1o;
T3i = T3f - T3a;
ii[WS(ios, 4)] = T3h + T3i;
ii[WS(ios, 12)] = T3i - T3h;
}
}
{
E T1R, T2v, T22, T3q, T3t, T3z, T2y, T3y, T2e, T2I, T2s, T2C, T2p, T2J, T2t;
E T2F;
{
E T1N, T1Q, T2w, T2x;
T1N = T1 - Te;
T1Q = T1O - T1P;
T1R = T1N - T1Q;
T2v = T1N + T1Q;
{
E T1W, T21, T3r, T3s;
T1W = T1U - T1V;
T21 = T1X + T20;
T22 = KP707106781 * (T1W - T21);
T3q = KP707106781 * (T1W + T21);
T3r = T3d - T3c;
T3s = Tq - Tz;
T3t = T3r - T3s;
T3z = T3s + T3r;
}
T2w = T1V + T1U;
T2x = T1X - T20;
T2y = KP707106781 * (T2w + T2x);
T3y = KP707106781 * (T2x - T2w);
{
E T28, T2A, T2d, T2B, T27, T2c;
T27 = T1h - T1m;
T28 = T26 + T27;
T2A = T26 - T27;
T2c = T2a - T2b;
T2d = T29 - T2c;
T2B = T29 + T2c;
T2e = FMA(KP923879532, T28, KP382683432 * T2d);
T2I = FNMS(KP382683432, T2B, KP923879532 * T2A);
T2s = FNMS(KP923879532, T2d, KP382683432 * T28);
T2C = FMA(KP382683432, T2A, KP923879532 * T2B);
}
{
E T2j, T2D, T2o, T2E;
{
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;
}
T2p = FNMS(KP923879532, T2o, KP382683432 * T2j);
T2J = FMA(KP923879532, T2E, KP382683432 * T2D);
T2t = FMA(KP382683432, T2o, KP923879532 * T2j);
T2F = FNMS(KP382683432, T2E, KP923879532 * T2D);
}
}
{
E T23, T2q, T3x, T3A;
T23 = T1R + T22;
T2q = T2e + T2p;
ri[WS(ios, 11)] = T23 - T2q;
ri[WS(ios, 3)] = T23 + T2q;
T3x = T2s + T2t;
T3A = T3y + T3z;
ii[WS(ios, 3)] = T3x + T3A;
ii[WS(ios, 11)] = T3A - T3x;
}
{
E T2r, T2u, T3B, T3C;
T2r = T1R - T22;
T2u = T2s - T2t;
ri[WS(ios, 15)] = T2r - T2u;
ri[WS(ios, 7)] = T2r + T2u;
T3B = T2p - T2e;
T3C = T3z - T3y;
ii[WS(ios, 7)] = T3B + T3C;
ii[WS(ios, 15)] = T3C - T3B;
}
{
E T2z, T2G, T3p, T3u;
T2z = T2v + T2y;
T2G = T2C + T2F;
ri[WS(ios, 9)] = T2z - T2G;
ri[WS(ios, 1)] = T2z + T2G;
T3p = T2I + T2J;
T3u = T3q + T3t;
ii[WS(ios, 1)] = T3p + T3u;
ii[WS(ios, 9)] = T3u - T3p;
}
{
E T2H, T2K, T3v, T3w;
T2H = T2v - T2y;
T2K = T2I - T2J;
ri[WS(ios, 13)] = T2H - T2K;
ri[WS(ios, 5)] = T2H + T2K;
T3v = T2F - T2C;
T3w = T3t - T3q;
ii[WS(ios, 5)] = T3v + T3w;
ii[WS(ios, 13)] = T3w - T3v;
}
}
}
return W;
}
static const tw_instr twinstr[] = {
{TW_COS, 0, 1},
{TW_SIN, 0, 1},
{TW_COS, 0, 3},
{TW_SIN, 0, 3},
{TW_COS, 0, 9},
{TW_SIN, 0, 9},
{TW_COS, 0, 15},
{TW_SIN, 0, 15},
{TW_NEXT, 1, 0}
};
static const ct_desc desc = { 16, "t2_16", twinstr, {156, 68, 40, 0}, &GENUS, 0, 0, 0 };
void X(codelet_t2_16) (planner *p) {
X(kdft_dit_register) (p, t2_16, &desc);
}