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t2_16.c

/*
 * 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: algsimp.ml,v 1.7 2003/03/15 20:29:42 stevenj Exp $
 * $Id: fft.ml,v 1.2 2003/03/15 20:29:42 stevenj Exp $
 * $Id: gen_twiddle.ml,v 1.16 2003/04/16 19:51:27 athena 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);
}

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