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t2_8.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 14:08:21 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 -twiddle-log3 -precompute-twiddles -n 8 -name t2_8 -include t.h */

/*
 * This function contains 74 FP additions, 50 FP multiplications,
 * (or, 44 additions, 20 multiplications, 30 fused multiply/add),
 * 64 stack variables, and 32 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 *t2_8(R *ri, R *ii, const R *W, stride ios, INT m, INT dist)
{
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     INT i;
     for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 6, MAKE_VOLATILE_STRIDE(ios)) {
        E TS, T1m, TJ, T1l, T1k, Tw, T1w, T1u;
        {
             E T2, T3, Tl, Tn, T5, T4, Tm, Tr, T6;
             T2 = W[0];
             T3 = W[2];
             Tl = W[4];
             Tn = W[5];
             T5 = W[1];
             T4 = T2 * T3;
             Tm = T2 * Tl;
             Tr = T2 * Tn;
             T6 = W[3];
             {
                E T1, T1s, TG, Td, T1r, Tu, TY, Tk, TW, T18, T1d, TD, TH, TA, T13;
                E TE, T14;
                {
                   E To, Ts, Tf, T7, T8, Ti, Tb, T9, Tc, TC, Ta, TF, TB, Tg, Th;
                   E Tj;
                   T1 = ri[0];
                   To = FMA(T5, Tn, Tm);
                   Ts = FNMS(T5, Tl, Tr);
                   Tf = FMA(T5, T6, T4);
                   T7 = FNMS(T5, T6, T4);
                   Ta = T2 * T6;
                   T1s = ii[0];
                   T8 = ri[WS(ios, 4)];
                   TF = Tf * Tn;
                   TB = Tf * Tl;
                   Ti = FNMS(T5, T3, Ta);
                   Tb = FMA(T5, T3, Ta);
                   T9 = T7 * T8;
                   Tc = ii[WS(ios, 4)];
                   TG = FNMS(Ti, Tl, TF);
                   TC = FMA(Ti, Tn, TB);
                   {
                        E Tp, T1q, Tt, Tq, TX;
                        Tp = ri[WS(ios, 6)];
                        Td = FMA(Tb, Tc, T9);
                        T1q = T7 * Tc;
                        Tt = ii[WS(ios, 6)];
                        Tq = To * Tp;
                        Tg = ri[WS(ios, 2)];
                        T1r = FNMS(Tb, T8, T1q);
                        TX = To * Tt;
                        Tu = FMA(Ts, Tt, Tq);
                        Th = Tf * Tg;
                        Tj = ii[WS(ios, 2)];
                        TY = FNMS(Ts, Tp, TX);
                   }
                   {
                        E TO, TQ, TN, TP, T1a, T1b;
                        {
                           E TK, TM, TL, T19, TV;
                           TK = ri[WS(ios, 7)];
                           TM = ii[WS(ios, 7)];
                           Tk = FMA(Ti, Tj, Th);
                           TV = Tf * Tj;
                           TL = Tl * TK;
                           T19 = Tl * TM;
                           TO = ri[WS(ios, 3)];
                           TW = FNMS(Ti, Tg, TV);
                           TQ = ii[WS(ios, 3)];
                           TN = FMA(Tn, TM, TL);
                           TP = T3 * TO;
                           T1a = FNMS(Tn, TK, T19);
                           T1b = T3 * TQ;
                        }
                        {
                           E Tx, Tz, Ty, T12, T1c, TR;
                           Tx = ri[WS(ios, 1)];
                           TR = FMA(T6, TQ, TP);
                           Tz = ii[WS(ios, 1)];
                           T1c = FNMS(T6, TO, T1b);
                           Ty = T2 * Tx;
                           T18 = TN - TR;
                           TS = TN + TR;
                           T12 = T2 * Tz;
                           T1d = T1a - T1c;
                           T1m = T1a + T1c;
                           TD = ri[WS(ios, 5)];
                           TH = ii[WS(ios, 5)];
                           TA = FMA(T5, Tz, Ty);
                           T13 = FNMS(T5, Tx, T12);
                           TE = TC * TD;
                           T14 = TC * TH;
                        }
                   }
                }
                {
                   E Te, T1p, T1t, Tv;
                   {
                        E T1g, T10, T1z, T1B, T1A, T1j, T1C, T1f;
                        {
                           E T1x, T11, T16, T1y;
                           {
                              E TU, TZ, TI, T15;
                              Te = T1 + Td;
                              TU = T1 - Td;
                              TZ = TW - TY;
                              T1p = TW + TY;
                              TI = FMA(TG, TH, TE);
                              T15 = FNMS(TG, TD, T14);
                              T1t = T1r + T1s;
                              T1x = T1s - T1r;
                              T1g = TU - TZ;
                              T10 = TU + TZ;
                              T11 = TA - TI;
                              TJ = TA + TI;
                              T1l = T13 + T15;
                              T16 = T13 - T15;
                              T1y = Tk - Tu;
                              Tv = Tk + Tu;
                           }
                           {
                              E T1i, T1e, T17, T1h;
                              T1i = T18 + T1d;
                              T1e = T18 - T1d;
                              T17 = T11 + T16;
                              T1h = T16 - T11;
                              T1z = T1x - T1y;
                              T1B = T1y + T1x;
                              T1A = T1h + T1i;
                              T1j = T1h - T1i;
                              T1C = T1e - T17;
                              T1f = T17 + T1e;
                           }
                        }
                        ri[WS(ios, 7)] = FNMS(KP707106781, T1j, T1g);
                        ii[WS(ios, 7)] = FNMS(KP707106781, T1C, T1B);
                        ri[WS(ios, 1)] = FMA(KP707106781, T1f, T10);
                        ri[WS(ios, 5)] = FNMS(KP707106781, T1f, T10);
                        ii[WS(ios, 1)] = FMA(KP707106781, T1A, T1z);
                        ii[WS(ios, 5)] = FNMS(KP707106781, T1A, T1z);
                        ri[WS(ios, 3)] = FMA(KP707106781, T1j, T1g);
                        ii[WS(ios, 3)] = FMA(KP707106781, T1C, T1B);
                   }
                   T1k = Te - Tv;
                   Tw = Te + Tv;
                   T1w = T1t - T1p;
                   T1u = T1p + T1t;
                }
             }
        }
        {
             E TT, T1v, T1n, T1o;
             TT = TJ + TS;
             T1v = TS - TJ;
             T1n = T1l - T1m;
             T1o = T1l + T1m;
             ii[WS(ios, 2)] = T1v + T1w;
             ii[WS(ios, 6)] = T1w - T1v;
             ri[0] = Tw + TT;
             ri[WS(ios, 4)] = Tw - TT;
             ii[0] = T1o + T1u;
             ii[WS(ios, 4)] = T1u - T1o;
             ri[WS(ios, 2)] = T1k + T1n;
             ri[WS(ios, 6)] = T1k - T1n;
        }
     }
     return W;
}

static const tw_instr twinstr[] = {
     {TW_CEXP, 0, 1},
     {TW_CEXP, 0, 3},
     {TW_CEXP, 0, 7},
     {TW_NEXT, 1, 0}
};

static const ct_desc desc = { 8, "t2_8", twinstr, &GENUS, {44, 20, 30, 0}, 0, 0, 0 };

void X(codelet_t2_8) (planner *p) {
     X(kdft_dit_register) (p, t2_8, &desc);
}
#else                   /* HAVE_FMA */

/* Generated by: ../../../genfft/gen_twiddle -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 8 -name t2_8 -include t.h */

/*
 * This function contains 74 FP additions, 44 FP multiplications,
 * (or, 56 additions, 26 multiplications, 18 fused multiply/add),
 * 42 stack variables, and 32 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 *t2_8(R *ri, R *ii, const R *W, stride ios, INT m, INT dist)
{
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     INT i;
     for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 6, MAKE_VOLATILE_STRIDE(ios)) {
        E T2, T5, T3, T6, T8, Tc, Tg, Ti, Tl, Tm, Tn, Tz, Tp, Tx;
        {
             E T4, Tb, T7, Ta;
             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;
             Tc = Ta + Tb;
             Tg = T4 + T7;
             Ti = Ta - Tb;
             Tl = W[4];
             Tm = W[5];
             Tn = FMA(T2, Tl, T5 * Tm);
             Tz = FNMS(Ti, Tl, Tg * Tm);
             Tp = FNMS(T5, Tl, T2 * Tm);
             Tx = FMA(Tg, Tl, Ti * Tm);
        }
        {
             E Tf, T1i, TL, T1d, TJ, T17, TV, TY, Ts, T1j, TO, T1a, TC, T16, TQ;
             E TT;
             {
                E T1, T1c, Te, T1b, T9, Td;
                T1 = ri[0];
                T1c = ii[0];
                T9 = ri[WS(ios, 4)];
                Td = ii[WS(ios, 4)];
                Te = FMA(T8, T9, Tc * Td);
                T1b = FNMS(Tc, T9, T8 * Td);
                Tf = T1 + Te;
                T1i = T1c - T1b;
                TL = T1 - Te;
                T1d = T1b + T1c;
             }
             {
                E TF, TW, TI, TX;
                {
                   E TD, TE, TG, TH;
                   TD = ri[WS(ios, 7)];
                   TE = ii[WS(ios, 7)];
                   TF = FMA(Tl, TD, Tm * TE);
                   TW = FNMS(Tm, TD, Tl * TE);
                   TG = ri[WS(ios, 3)];
                   TH = ii[WS(ios, 3)];
                   TI = FMA(T3, TG, T6 * TH);
                   TX = FNMS(T6, TG, T3 * TH);
                }
                TJ = TF + TI;
                T17 = TW + TX;
                TV = TF - TI;
                TY = TW - TX;
             }
             {
                E Tk, TM, Tr, TN;
                {
                   E Th, Tj, To, Tq;
                   Th = ri[WS(ios, 2)];
                   Tj = ii[WS(ios, 2)];
                   Tk = FMA(Tg, Th, Ti * Tj);
                   TM = FNMS(Ti, Th, Tg * Tj);
                   To = ri[WS(ios, 6)];
                   Tq = ii[WS(ios, 6)];
                   Tr = FMA(Tn, To, Tp * Tq);
                   TN = FNMS(Tp, To, Tn * Tq);
                }
                Ts = Tk + Tr;
                T1j = Tk - Tr;
                TO = TM - TN;
                T1a = TM + TN;
             }
             {
                E Tw, TR, TB, TS;
                {
                   E Tu, Tv, Ty, TA;
                   Tu = ri[WS(ios, 1)];
                   Tv = ii[WS(ios, 1)];
                   Tw = FMA(T2, Tu, T5 * Tv);
                   TR = FNMS(T5, Tu, T2 * Tv);
                   Ty = ri[WS(ios, 5)];
                   TA = ii[WS(ios, 5)];
                   TB = FMA(Tx, Ty, Tz * TA);
                   TS = FNMS(Tz, Ty, Tx * TA);
                }
                TC = Tw + TB;
                T16 = TR + TS;
                TQ = Tw - TB;
                TT = TR - TS;
             }
             {
                E Tt, TK, T1f, T1g;
                Tt = Tf + Ts;
                TK = TC + TJ;
                ri[WS(ios, 4)] = Tt - TK;
                ri[0] = Tt + TK;
                {
                   E T19, T1e, T15, T18;
                   T19 = T16 + T17;
                   T1e = T1a + T1d;
                   ii[0] = T19 + T1e;
                   ii[WS(ios, 4)] = T1e - T19;
                   T15 = Tf - Ts;
                   T18 = T16 - T17;
                   ri[WS(ios, 6)] = T15 - T18;
                   ri[WS(ios, 2)] = T15 + T18;
                }
                T1f = TJ - TC;
                T1g = T1d - T1a;
                ii[WS(ios, 2)] = T1f + T1g;
                ii[WS(ios, 6)] = T1g - T1f;
                {
                   E T11, T1k, T14, T1h, T12, T13;
                   T11 = TL - TO;
                   T1k = T1i - T1j;
                   T12 = TT - TQ;
                   T13 = TV + TY;
                   T14 = KP707106781 * (T12 - T13);
                   T1h = KP707106781 * (T12 + T13);
                   ri[WS(ios, 7)] = T11 - T14;
                   ii[WS(ios, 5)] = T1k - T1h;
                   ri[WS(ios, 3)] = T11 + T14;
                   ii[WS(ios, 1)] = T1h + T1k;
                }
                {
                   E TP, T1m, T10, T1l, TU, TZ;
                   TP = TL + TO;
                   T1m = T1j + T1i;
                   TU = TQ + TT;
                   TZ = TV - TY;
                   T10 = KP707106781 * (TU + TZ);
                   T1l = KP707106781 * (TZ - TU);
                   ri[WS(ios, 5)] = TP - T10;
                   ii[WS(ios, 7)] = T1m - T1l;
                   ri[WS(ios, 1)] = TP + T10;
                   ii[WS(ios, 3)] = T1l + T1m;
                }
             }
        }
     }
     return W;
}

static const tw_instr twinstr[] = {
     {TW_CEXP, 0, 1},
     {TW_CEXP, 0, 3},
     {TW_CEXP, 0, 7},
     {TW_NEXT, 1, 0}
};

static const ct_desc desc = { 8, "t2_8", twinstr, &GENUS, {56, 26, 18, 0}, 0, 0, 0 };

void X(codelet_t2_8) (planner *p) {
     X(kdft_dit_register) (p, t2_8, &desc);
}
#endif                        /* HAVE_FMA */

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