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t1_12.c

/*
 * Copyright (c) 2003, 2006 Matteo Frigo
 * Copyright (c) 2003, 2006 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  1 13:58:49 EDT 2006 */

#include "codelet-dft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_twiddle -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 12 -name t1_12 -include t.h */

/*
 * This function contains 118 FP additions, 68 FP multiplications,
 * (or, 72 additions, 22 multiplications, 46 fused multiply/add),
 * 84 stack variables, and 48 memory accesses
 */
/*
 * Generator Id's : 
 * $Id: algsimp.ml,v 1.9 2006-02-12 23:34:12 athena Exp $
 * $Id: fft.ml,v 1.4 2006-01-05 03:04:27 stevenj Exp $
 * $Id: gen_twiddle.ml,v 1.24 2006-02-12 23:34:12 athena Exp $
 */

#include "t.h"

static const R *t1_12(R *ri, R *ii, const R *W, stride ios, INT m, INT dist)
{
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     INT i;
     for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 22, MAKE_VOLATILE_STRIDE(ios)) {
        E T2B, T2C;
        {
             E T1, T2i, T2e, Tl, T1Y, T10, T1S, TG, T2f, T1s, T2r, Ty, T1Z, T1H, T21;
             E T1d, TI, TL, T2h, T1l, T2o, Te, TJ, T1w, TO, TR, TN, TK, TQ;
             {
                E TW, TZ, TY, T1X, TX;
                T1 = ri[0];
                T2i = ii[0];
                {
                   E Th, Tk, Tg, Tj, T2d, Ti, TV;
                   Th = ri[WS(ios, 6)];
                   Tk = ii[WS(ios, 6)];
                   Tg = W[10];
                   Tj = W[11];
                   TW = ri[WS(ios, 9)];
                   TZ = ii[WS(ios, 9)];
                   T2d = Tg * Tk;
                   Ti = Tg * Th;
                   TV = W[16];
                   TY = W[17];
                   T2e = FNMS(Tj, Th, T2d);
                   Tl = FMA(Tj, Tk, Ti);
                   T1X = TV * TZ;
                   TX = TV * TW;
                }
                {
                   E Tn, Tq, Tt, T1o, To, Tw, Ts, Tp, Tv;
                   {
                        E TC, TF, TB, TE, T1R, TD, Tm;
                        TC = ri[WS(ios, 3)];
                        TF = ii[WS(ios, 3)];
                        T1Y = FNMS(TY, TW, T1X);
                        T10 = FMA(TY, TZ, TX);
                        TB = W[4];
                        TE = W[5];
                        Tn = ri[WS(ios, 10)];
                        Tq = ii[WS(ios, 10)];
                        T1R = TB * TF;
                        TD = TB * TC;
                        Tm = W[18];
                        Tt = ri[WS(ios, 2)];
                        T1S = FNMS(TE, TC, T1R);
                        TG = FMA(TE, TF, TD);
                        T1o = Tm * Tq;
                        To = Tm * Tn;
                        Tw = ii[WS(ios, 2)];
                        Ts = W[2];
                        Tp = W[19];
                        Tv = W[3];
                   }
                   {
                        E T12, T15, T13, T1D, T18, T1b, T17, T14, T1a;
                        {
                           E T1p, Tr, T1r, Tx, T1q, Tu, T11;
                           T12 = ri[WS(ios, 1)];
                           T1q = Ts * Tw;
                           Tu = Ts * Tt;
                           T1p = FNMS(Tp, Tn, T1o);
                           Tr = FMA(Tp, Tq, To);
                           T1r = FNMS(Tv, Tt, T1q);
                           Tx = FMA(Tv, Tw, Tu);
                           T15 = ii[WS(ios, 1)];
                           T11 = W[0];
                           T2f = T1p + T1r;
                           T1s = T1p - T1r;
                           T2r = Tx - Tr;
                           Ty = Tr + Tx;
                           T13 = T11 * T12;
                           T1D = T11 * T15;
                        }
                        T18 = ri[WS(ios, 5)];
                        T1b = ii[WS(ios, 5)];
                        T17 = W[8];
                        T14 = W[1];
                        T1a = W[9];
                        {
                           E T3, T6, T4, T1h, T9, Tc, T8, T5, Tb;
                           {
                              E T1E, T16, T1G, T1c, T1F, T19, T2;
                              T3 = ri[WS(ios, 4)];
                              T1F = T17 * T1b;
                              T19 = T17 * T18;
                              T1E = FNMS(T14, T12, T1D);
                              T16 = FMA(T14, T15, T13);
                              T1G = FNMS(T1a, T18, T1F);
                              T1c = FMA(T1a, T1b, T19);
                              T6 = ii[WS(ios, 4)];
                              T2 = W[6];
                              T1Z = T1E + T1G;
                              T1H = T1E - T1G;
                              T21 = T1c - T16;
                              T1d = T16 + T1c;
                              T4 = T2 * T3;
                              T1h = T2 * T6;
                           }
                           T9 = ri[WS(ios, 8)];
                           Tc = ii[WS(ios, 8)];
                           T8 = W[14];
                           T5 = W[7];
                           Tb = W[15];
                           {
                              E T1i, T7, T1k, Td, T1j, Ta, TH;
                              TI = ri[WS(ios, 7)];
                              T1j = T8 * Tc;
                              Ta = T8 * T9;
                              T1i = FNMS(T5, T3, T1h);
                              T7 = FMA(T5, T6, T4);
                              T1k = FNMS(Tb, T9, T1j);
                              Td = FMA(Tb, Tc, Ta);
                              TL = ii[WS(ios, 7)];
                              TH = W[12];
                              T2h = T1i + T1k;
                              T1l = T1i - T1k;
                              T2o = Td - T7;
                              Te = T7 + Td;
                              TJ = TH * TI;
                              T1w = TH * TL;
                           }
                           TO = ri[WS(ios, 11)];
                           TR = ii[WS(ios, 11)];
                           TN = W[20];
                           TK = W[13];
                           TQ = W[21];
                        }
                   }
                }
             }
             {
                E T1g, T1n, T2q, T1A, T1V, T28, TA, T2n, T1v, T1C, T1U, T29, T2m, T2k, T2l;
                E T1f, T2a, T20;
                {
                   E T2g, T1T, TT, T2j, TU, T1e;
                   {
                        E Tf, T1x, TM, T1z, TS, Tz, T1y, TP;
                        T1g = FNMS(KP500000000, Te, T1);
                        Tf = T1 + Te;
                        T1y = TN * TR;
                        TP = TN * TO;
                        T1x = FNMS(TK, TI, T1w);
                        TM = FMA(TK, TL, TJ);
                        T1z = FNMS(TQ, TO, T1y);
                        TS = FMA(TQ, TR, TP);
                        Tz = Tl + Ty;
                        T1n = FNMS(KP500000000, Ty, Tl);
                        T2q = FNMS(KP500000000, T2f, T2e);
                        T2g = T2e + T2f;
                        T1T = T1x + T1z;
                        T1A = T1x - T1z;
                        T1V = TS - TM;
                        TT = TM + TS;
                        T28 = Tf - Tz;
                        TA = Tf + Tz;
                        T2j = T2h + T2i;
                        T2n = FNMS(KP500000000, T2h, T2i);
                   }
                   T1v = FNMS(KP500000000, TT, TG);
                   TU = TG + TT;
                   T1e = T10 + T1d;
                   T1C = FNMS(KP500000000, T1d, T10);
                   T1U = FNMS(KP500000000, T1T, T1S);
                   T29 = T1S + T1T;
                   T2m = T2j - T2g;
                   T2k = T2g + T2j;
                   T2l = TU - T1e;
                   T1f = TU + T1e;
                   T2a = T1Y + T1Z;
                   T20 = FNMS(KP500000000, T1Z, T1Y);
                }
                {
                   E T1m, T1K, T2y, T2p, T2x, T2s, T1L, T1t, T1B, T1N, T2c, T2b;
                   ii[WS(ios, 9)] = T2m - T2l;
                   ii[WS(ios, 3)] = T2l + T2m;
                   ri[0] = TA + T1f;
                   ri[WS(ios, 6)] = TA - T1f;
                   T2c = T29 + T2a;
                   T2b = T29 - T2a;
                   T1m = FNMS(KP866025403, T1l, T1g);
                   T1K = FMA(KP866025403, T1l, T1g);
                   ii[0] = T2c + T2k;
                   ii[WS(ios, 6)] = T2k - T2c;
                   ri[WS(ios, 9)] = T28 + T2b;
                   ri[WS(ios, 3)] = T28 - T2b;
                   T2y = FNMS(KP866025403, T2o, T2n);
                   T2p = FMA(KP866025403, T2o, T2n);
                   T2x = FNMS(KP866025403, T2r, T2q);
                   T2s = FMA(KP866025403, T2r, T2q);
                   T1L = FMA(KP866025403, T1s, T1n);
                   T1t = FNMS(KP866025403, T1s, T1n);
                   T1B = FNMS(KP866025403, T1A, T1v);
                   T1N = FMA(KP866025403, T1A, T1v);
                   {
                        E T24, T27, T1Q, T2u, T23, T2v, T2w, T2t;
                        {
                           E T1u, T1W, T22, T1O, T1I, T2z, T2A, T25, T26, T1M, T1J, T1P;
                           T24 = T1m - T1t;
                           T1u = T1m + T1t;
                           T25 = FNMS(KP866025403, T1V, T1U);
                           T1W = FMA(KP866025403, T1V, T1U);
                           T26 = FNMS(KP866025403, T21, T20);
                           T22 = FMA(KP866025403, T21, T20);
                           T1O = FMA(KP866025403, T1H, T1C);
                           T1I = FNMS(KP866025403, T1H, T1C);
                           T2z = T2x + T2y;
                           T2B = T2y - T2x;
                           T27 = T25 - T26;
                           T2A = T25 + T26;
                           T1M = T1K + T1L;
                           T1Q = T1K - T1L;
                           T2C = T1B - T1I;
                           T1J = T1B + T1I;
                           T1P = T1N + T1O;
                           T2u = T1N - T1O;
                           ii[WS(ios, 8)] = T2A + T2z;
                           ii[WS(ios, 2)] = T2z - T2A;
                           ri[WS(ios, 8)] = T1u + T1J;
                           ri[WS(ios, 2)] = T1u - T1J;
                           ri[WS(ios, 10)] = T1M - T1P;
                           ri[WS(ios, 4)] = T1M + T1P;
                           T23 = T1W - T22;
                           T2v = T1W + T22;
                           T2w = T2s + T2p;
                           T2t = T2p - T2s;
                        }
                        ii[WS(ios, 10)] = T2w - T2v;
                        ii[WS(ios, 4)] = T2v + T2w;
                        ri[WS(ios, 1)] = T1Q + T23;
                        ri[WS(ios, 7)] = T1Q - T23;
                        ii[WS(ios, 7)] = T2u + T2t;
                        ii[WS(ios, 1)] = T2t - T2u;
                        ri[WS(ios, 5)] = T24 + T27;
                        ri[WS(ios, 11)] = T24 - T27;
                   }
                }
             }
        }
        ii[WS(ios, 11)] = T2C + T2B;
        ii[WS(ios, 5)] = T2B - T2C;
     }
     return W;
}

static const tw_instr twinstr[] = {
     {TW_FULL, 0, 12},
     {TW_NEXT, 1, 0}
};

static const ct_desc desc = { 12, "t1_12", twinstr, &GENUS, {72, 22, 46, 0}, 0, 0, 0 };

void X(codelet_t1_12) (planner *p) {
     X(kdft_dit_register) (p, t1_12, &desc);
}
#else                   /* HAVE_FMA */

/* Generated by: ../../../genfft/gen_twiddle -compact -variables 4 -pipeline-latency 4 -n 12 -name t1_12 -include t.h */

/*
 * This function contains 118 FP additions, 60 FP multiplications,
 * (or, 88 additions, 30 multiplications, 30 fused multiply/add),
 * 47 stack variables, and 48 memory accesses
 */
/*
 * Generator Id's : 
 * $Id: algsimp.ml,v 1.9 2006-02-12 23:34:12 athena Exp $
 * $Id: fft.ml,v 1.4 2006-01-05 03:04:27 stevenj Exp $
 * $Id: gen_twiddle.ml,v 1.24 2006-02-12 23:34:12 athena Exp $
 */

#include "t.h"

static const R *t1_12(R *ri, R *ii, const R *W, stride ios, INT m, INT dist)
{
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     INT i;
     for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 22, MAKE_VOLATILE_STRIDE(ios)) {
        E T1, T1W, T18, T21, Tc, T15, T1V, T22, TR, T1E, T1o, T1D, T12, T1l, T1F;
        E T1G, Ti, T1S, T1d, T24, Tt, T1a, T1T, T25, TA, T1z, T1j, T1y, TL, T1g;
        E T1A, T1B;
        {
             E T6, T16, Tb, T17;
             T1 = ri[0];
             T1W = ii[0];
             {
                E T3, T5, T2, T4;
                T3 = ri[WS(ios, 4)];
                T5 = ii[WS(ios, 4)];
                T2 = W[6];
                T4 = W[7];
                T6 = FMA(T2, T3, T4 * T5);
                T16 = FNMS(T4, T3, T2 * T5);
             }
             {
                E T8, Ta, T7, T9;
                T8 = ri[WS(ios, 8)];
                Ta = ii[WS(ios, 8)];
                T7 = W[14];
                T9 = W[15];
                Tb = FMA(T7, T8, T9 * Ta);
                T17 = FNMS(T9, T8, T7 * Ta);
             }
             T18 = KP866025403 * (T16 - T17);
             T21 = KP866025403 * (Tb - T6);
             Tc = T6 + Tb;
             T15 = FNMS(KP500000000, Tc, T1);
             T1V = T16 + T17;
             T22 = FNMS(KP500000000, T1V, T1W);
        }
        {
             E T11, T1n, TW, T1m;
             {
                E TO, TQ, TN, TP;
                TO = ri[WS(ios, 9)];
                TQ = ii[WS(ios, 9)];
                TN = W[16];
                TP = W[17];
                TR = FMA(TN, TO, TP * TQ);
                T1E = FNMS(TP, TO, TN * TQ);
             }
             {
                E TY, T10, TX, TZ;
                TY = ri[WS(ios, 5)];
                T10 = ii[WS(ios, 5)];
                TX = W[8];
                TZ = W[9];
                T11 = FMA(TX, TY, TZ * T10);
                T1n = FNMS(TZ, TY, TX * T10);
             }
             {
                E TT, TV, TS, TU;
                TT = ri[WS(ios, 1)];
                TV = ii[WS(ios, 1)];
                TS = W[0];
                TU = W[1];
                TW = FMA(TS, TT, TU * TV);
                T1m = FNMS(TU, TT, TS * TV);
             }
             T1o = KP866025403 * (T1m - T1n);
             T1D = KP866025403 * (T11 - TW);
             T12 = TW + T11;
             T1l = FNMS(KP500000000, T12, TR);
             T1F = T1m + T1n;
             T1G = FNMS(KP500000000, T1F, T1E);
        }
        {
             E Ts, T1c, Tn, T1b;
             {
                E Tf, Th, Te, Tg;
                Tf = ri[WS(ios, 6)];
                Th = ii[WS(ios, 6)];
                Te = W[10];
                Tg = W[11];
                Ti = FMA(Te, Tf, Tg * Th);
                T1S = FNMS(Tg, Tf, Te * Th);
             }
             {
                E Tp, Tr, To, Tq;
                Tp = ri[WS(ios, 2)];
                Tr = ii[WS(ios, 2)];
                To = W[2];
                Tq = W[3];
                Ts = FMA(To, Tp, Tq * Tr);
                T1c = FNMS(Tq, Tp, To * Tr);
             }
             {
                E Tk, Tm, Tj, Tl;
                Tk = ri[WS(ios, 10)];
                Tm = ii[WS(ios, 10)];
                Tj = W[18];
                Tl = W[19];
                Tn = FMA(Tj, Tk, Tl * Tm);
                T1b = FNMS(Tl, Tk, Tj * Tm);
             }
             T1d = KP866025403 * (T1b - T1c);
             T24 = KP866025403 * (Ts - Tn);
             Tt = Tn + Ts;
             T1a = FNMS(KP500000000, Tt, Ti);
             T1T = T1b + T1c;
             T25 = FNMS(KP500000000, T1T, T1S);
        }
        {
             E TK, T1i, TF, T1h;
             {
                E Tx, Tz, Tw, Ty;
                Tx = ri[WS(ios, 3)];
                Tz = ii[WS(ios, 3)];
                Tw = W[4];
                Ty = W[5];
                TA = FMA(Tw, Tx, Ty * Tz);
                T1z = FNMS(Ty, Tx, Tw * Tz);
             }
             {
                E TH, TJ, TG, TI;
                TH = ri[WS(ios, 11)];
                TJ = ii[WS(ios, 11)];
                TG = W[20];
                TI = W[21];
                TK = FMA(TG, TH, TI * TJ);
                T1i = FNMS(TI, TH, TG * TJ);
             }
             {
                E TC, TE, TB, TD;
                TC = ri[WS(ios, 7)];
                TE = ii[WS(ios, 7)];
                TB = W[12];
                TD = W[13];
                TF = FMA(TB, TC, TD * TE);
                T1h = FNMS(TD, TC, TB * TE);
             }
             T1j = KP866025403 * (T1h - T1i);
             T1y = KP866025403 * (TK - TF);
             TL = TF + TK;
             T1g = FNMS(KP500000000, TL, TA);
             T1A = T1h + T1i;
             T1B = FNMS(KP500000000, T1A, T1z);
        }
        {
             E Tv, T1N, T1Y, T20, T14, T1Z, T1Q, T1R;
             {
                E Td, Tu, T1U, T1X;
                Td = T1 + Tc;
                Tu = Ti + Tt;
                Tv = Td + Tu;
                T1N = Td - Tu;
                T1U = T1S + T1T;
                T1X = T1V + T1W;
                T1Y = T1U + T1X;
                T20 = T1X - T1U;
             }
             {
                E TM, T13, T1O, T1P;
                TM = TA + TL;
                T13 = TR + T12;
                T14 = TM + T13;
                T1Z = TM - T13;
                T1O = T1z + T1A;
                T1P = T1E + T1F;
                T1Q = T1O - T1P;
                T1R = T1O + T1P;
             }
             ri[WS(ios, 6)] = Tv - T14;
             ii[WS(ios, 6)] = T1Y - T1R;
             ri[0] = Tv + T14;
             ii[0] = T1R + T1Y;
             ri[WS(ios, 3)] = T1N - T1Q;
             ii[WS(ios, 3)] = T1Z + T20;
             ri[WS(ios, 9)] = T1N + T1Q;
             ii[WS(ios, 9)] = T20 - T1Z;
        }
        {
             E T1t, T1x, T27, T2a, T1w, T28, T1I, T29;
             {
                E T1r, T1s, T23, T26;
                T1r = T15 + T18;
                T1s = T1a + T1d;
                T1t = T1r + T1s;
                T1x = T1r - T1s;
                T23 = T21 + T22;
                T26 = T24 + T25;
                T27 = T23 - T26;
                T2a = T26 + T23;
             }
             {
                E T1u, T1v, T1C, T1H;
                T1u = T1g + T1j;
                T1v = T1l + T1o;
                T1w = T1u + T1v;
                T28 = T1u - T1v;
                T1C = T1y + T1B;
                T1H = T1D + T1G;
                T1I = T1C - T1H;
                T29 = T1C + T1H;
             }
             ri[WS(ios, 10)] = T1t - T1w;
             ii[WS(ios, 10)] = T2a - T29;
             ri[WS(ios, 4)] = T1t + T1w;
             ii[WS(ios, 4)] = T29 + T2a;
             ri[WS(ios, 7)] = T1x - T1I;
             ii[WS(ios, 7)] = T28 + T27;
             ri[WS(ios, 1)] = T1x + T1I;
             ii[WS(ios, 1)] = T27 - T28;
        }
        {
             E T1f, T1J, T2d, T2f, T1q, T2g, T1M, T2e;
             {
                E T19, T1e, T2b, T2c;
                T19 = T15 - T18;
                T1e = T1a - T1d;
                T1f = T19 + T1e;
                T1J = T19 - T1e;
                T2b = T25 - T24;
                T2c = T22 - T21;
                T2d = T2b + T2c;
                T2f = T2c - T2b;
             }
             {
                E T1k, T1p, T1K, T1L;
                T1k = T1g - T1j;
                T1p = T1l - T1o;
                T1q = T1k + T1p;
                T2g = T1k - T1p;
                T1K = T1B - T1y;
                T1L = T1G - T1D;
                T1M = T1K - T1L;
                T2e = T1K + T1L;
             }
             ri[WS(ios, 2)] = T1f - T1q;
             ii[WS(ios, 2)] = T2d - T2e;
             ri[WS(ios, 8)] = T1f + T1q;
             ii[WS(ios, 8)] = T2e + T2d;
             ri[WS(ios, 11)] = T1J - T1M;
             ii[WS(ios, 11)] = T2g + T2f;
             ri[WS(ios, 5)] = T1J + T1M;
             ii[WS(ios, 5)] = T2f - T2g;
        }
     }
     return W;
}

static const tw_instr twinstr[] = {
     {TW_FULL, 0, 12},
     {TW_NEXT, 1, 0}
};

static const ct_desc desc = { 12, "t1_12", twinstr, &GENUS, {88, 30, 30, 0}, 0, 0, 0 };

void X(codelet_t1_12) (planner *p) {
     X(kdft_dit_register) (p, t1_12, &desc);
}
#endif                        /* HAVE_FMA */

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