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n1_9.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 13:54:13 EDT 2006 */

#include "codelet-dft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_notw -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 9 -name n1_9 -include n.h */

/*
 * This function contains 80 FP additions, 56 FP multiplications,
 * (or, 24 additions, 0 multiplications, 56 fused multiply/add),
 * 59 stack variables, and 36 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_notw.ml,v 1.30 2006-02-12 23:34:12 athena Exp $
 */

#include "n.h"

static void n1_9(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DK(KP954188894, +0.954188894138671133499268364187245676532219158);
     DK(KP363970234, +0.363970234266202361351047882776834043890471784);
     DK(KP852868531, +0.852868531952443209628250963940074071936020296);
     DK(KP984807753, +0.984807753012208059366743024589523013670643252);
     DK(KP492403876, +0.492403876506104029683371512294761506835321626);
     DK(KP777861913, +0.777861913430206160028177977318626690410586096);
     DK(KP839099631, +0.839099631177280011763127298123181364687434283);
     DK(KP176326980, +0.176326980708464973471090386868618986121633062);
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     INT i;
     for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(is), MAKE_VOLATILE_STRIDE(os)) {
        E T17, TV, T14, TY, T11, T15;
        {
             E Tm, TM, TL, T5, Tl, T1f, Tb, Tt, Ta, T1c, TI, TX, TF, TW, Tc;
             E Td, Tp, Tq;
             {
                E T1, Th, Ti, Tj, T4, T2, T3;
                T1 = ri[0];
                T2 = ri[WS(is, 3)];
                T3 = ri[WS(is, 6)];
                Th = ii[0];
                Ti = ii[WS(is, 3)];
                Tj = ii[WS(is, 6)];
                T4 = T2 + T3;
                Tm = T3 - T2;
                {
                   E T6, Tz, T7, T8, TA, TB, Tk;
                   T6 = ri[WS(is, 1)];
                   TM = Ti - Tj;
                   Tk = Ti + Tj;
                   TL = FNMS(KP500000000, T4, T1);
                   T5 = T1 + T4;
                   Tz = ii[WS(is, 1)];
                   Tl = FNMS(KP500000000, Tk, Th);
                   T1f = Th + Tk;
                   T7 = ri[WS(is, 4)];
                   T8 = ri[WS(is, 7)];
                   TA = ii[WS(is, 4)];
                   TB = ii[WS(is, 7)];
                   {
                        E TE, T9, TH, TC, TG, TD;
                        Tb = ri[WS(is, 2)];
                        TE = T7 - T8;
                        T9 = T7 + T8;
                        TH = TB - TA;
                        TC = TA + TB;
                        Tt = ii[WS(is, 2)];
                        Ta = T6 + T9;
                        TG = FNMS(KP500000000, T9, T6);
                        T1c = Tz + TC;
                        TD = FNMS(KP500000000, TC, Tz);
                        TI = FNMS(KP866025403, TH, TG);
                        TX = FMA(KP866025403, TH, TG);
                        TF = FNMS(KP866025403, TE, TD);
                        TW = FMA(KP866025403, TE, TD);
                        Tc = ri[WS(is, 5)];
                        Td = ri[WS(is, 8)];
                        Tp = ii[WS(is, 5)];
                        Tq = ii[WS(is, 8)];
                   }
                }
             }
             {
                E Tn, TN, TZ, T10, TO, Ty, TJ, TP;
                {
                   E Tw, Te, Tu, Tr;
                   T17 = FNMS(KP866025403, Tm, Tl);
                   Tn = FMA(KP866025403, Tm, Tl);
                   Tw = Td - Tc;
                   Te = Tc + Td;
                   Tu = Tp + Tq;
                   Tr = Tp - Tq;
                   TN = FMA(KP866025403, TM, TL);
                   TV = FNMS(KP866025403, TM, TL);
                   {
                        E Tf, To, T1d, Tv;
                        Tf = Tb + Te;
                        To = FNMS(KP500000000, Te, Tb);
                        T1d = Tt + Tu;
                        Tv = FNMS(KP500000000, Tu, Tt);
                        {
                           E Ts, Tg, T1i, Tx;
                           Ts = FMA(KP866025403, Tr, To);
                           TZ = FNMS(KP866025403, Tr, To);
                           Tg = Ta + Tf;
                           T1i = Tf - Ta;
                           Tx = FMA(KP866025403, Tw, Tv);
                           T10 = FNMS(KP866025403, Tw, Tv);
                           {
                              E T1e, T1g, T1b, T1h;
                              T1e = T1c - T1d;
                              T1g = T1c + T1d;
                              ro[0] = T5 + Tg;
                              T1b = FNMS(KP500000000, Tg, T5);
                              io[0] = T1f + T1g;
                              T1h = FNMS(KP500000000, T1g, T1f);
                              TO = FMA(KP176326980, Ts, Tx);
                              Ty = FNMS(KP176326980, Tx, Ts);
                              ro[WS(os, 6)] = FNMS(KP866025403, T1e, T1b);
                              ro[WS(os, 3)] = FMA(KP866025403, T1e, T1b);
                              io[WS(os, 6)] = FNMS(KP866025403, T1i, T1h);
                              io[WS(os, 3)] = FMA(KP866025403, T1i, T1h);
                              TJ = FNMS(KP839099631, TI, TF);
                              TP = FMA(KP839099631, TF, TI);
                           }
                        }
                   }
                }
                {
                   E TS, TK, TU, TQ, TT, TR;
                   TS = FMA(KP777861913, TJ, Ty);
                   TK = FNMS(KP777861913, TJ, Ty);
                   TU = FNMS(KP777861913, TP, TO);
                   TQ = FMA(KP777861913, TP, TO);
                   TT = FMA(KP492403876, TK, Tn);
                   io[WS(os, 1)] = FNMS(KP984807753, TK, Tn);
                   TR = FNMS(KP492403876, TQ, TN);
                   ro[WS(os, 1)] = FMA(KP984807753, TQ, TN);
                   io[WS(os, 4)] = FMA(KP852868531, TU, TT);
                   io[WS(os, 7)] = FNMS(KP852868531, TU, TT);
                   ro[WS(os, 7)] = FNMS(KP852868531, TS, TR);
                   ro[WS(os, 4)] = FMA(KP852868531, TS, TR);
                   T14 = FNMS(KP176326980, TW, TX);
                   TY = FMA(KP176326980, TX, TW);
                   T11 = FNMS(KP363970234, T10, TZ);
                   T15 = FMA(KP363970234, TZ, T10);
                }
             }
        }
        {
             E T12, T1a, T16, T18, T13, T19;
             T12 = FNMS(KP954188894, T11, TY);
             T1a = FMA(KP954188894, T11, TY);
             T16 = FNMS(KP954188894, T15, T14);
             T18 = FMA(KP954188894, T15, T14);
             T13 = FNMS(KP492403876, T12, TV);
             ro[WS(os, 2)] = FMA(KP984807753, T12, TV);
             T19 = FMA(KP492403876, T18, T17);
             io[WS(os, 2)] = FNMS(KP984807753, T18, T17);
             ro[WS(os, 8)] = FMA(KP852868531, T16, T13);
             ro[WS(os, 5)] = FNMS(KP852868531, T16, T13);
             io[WS(os, 8)] = FMA(KP852868531, T1a, T19);
             io[WS(os, 5)] = FNMS(KP852868531, T1a, T19);
        }
     }
}

static const kdft_desc desc = { 9, "n1_9", {24, 0, 56, 0}, &GENUS, 0, 0, 0, 0 };
void X(codelet_n1_9) (planner *p) {
     X(kdft_register) (p, n1_9, &desc);
}

#else                   /* HAVE_FMA */

/* Generated by: ../../../genfft/gen_notw -compact -variables 4 -pipeline-latency 4 -n 9 -name n1_9 -include n.h */

/*
 * This function contains 80 FP additions, 40 FP multiplications,
 * (or, 60 additions, 20 multiplications, 20 fused multiply/add),
 * 39 stack variables, and 36 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_notw.ml,v 1.30 2006-02-12 23:34:12 athena Exp $
 */

#include "n.h"

static void n1_9(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DK(KP939692620, +0.939692620785908384054109277324731469936208134);
     DK(KP342020143, +0.342020143325668733044099614682259580763083368);
     DK(KP984807753, +0.984807753012208059366743024589523013670643252);
     DK(KP173648177, +0.173648177666930348851716626769314796000375677);
     DK(KP642787609, +0.642787609686539326322643409907263432907559884);
     DK(KP766044443, +0.766044443118978035202392650555416673935832457);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     INT i;
     for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(is), MAKE_VOLATILE_STRIDE(os)) {
        E T5, TO, Th, Tk, T1g, TR, Ta, T1c, Tq, TW, Tv, TX, Tf, T1d, TB;
        E T10, TG, TZ;
        {
             E T1, T2, T3, T4;
             T1 = ri[0];
             T2 = ri[WS(is, 3)];
             T3 = ri[WS(is, 6)];
             T4 = T2 + T3;
             T5 = T1 + T4;
             TO = KP866025403 * (T3 - T2);
             Th = FNMS(KP500000000, T4, T1);
        }
        {
             E TP, Ti, Tj, TQ;
             TP = ii[0];
             Ti = ii[WS(is, 3)];
             Tj = ii[WS(is, 6)];
             TQ = Ti + Tj;
             Tk = KP866025403 * (Ti - Tj);
             T1g = TP + TQ;
             TR = FNMS(KP500000000, TQ, TP);
        }
        {
             E T6, Ts, T9, Tr, Tp, Tt, Tm, Tu;
             T6 = ri[WS(is, 1)];
             Ts = ii[WS(is, 1)];
             {
                E T7, T8, Tn, To;
                T7 = ri[WS(is, 4)];
                T8 = ri[WS(is, 7)];
                T9 = T7 + T8;
                Tr = KP866025403 * (T8 - T7);
                Tn = ii[WS(is, 4)];
                To = ii[WS(is, 7)];
                Tp = KP866025403 * (Tn - To);
                Tt = Tn + To;
             }
             Ta = T6 + T9;
             T1c = Ts + Tt;
             Tm = FNMS(KP500000000, T9, T6);
             Tq = Tm + Tp;
             TW = Tm - Tp;
             Tu = FNMS(KP500000000, Tt, Ts);
             Tv = Tr + Tu;
             TX = Tu - Tr;
        }
        {
             E Tb, TD, Te, TC, TA, TE, Tx, TF;
             Tb = ri[WS(is, 2)];
             TD = ii[WS(is, 2)];
             {
                E Tc, Td, Ty, Tz;
                Tc = ri[WS(is, 5)];
                Td = ri[WS(is, 8)];
                Te = Tc + Td;
                TC = KP866025403 * (Td - Tc);
                Ty = ii[WS(is, 5)];
                Tz = ii[WS(is, 8)];
                TA = KP866025403 * (Ty - Tz);
                TE = Ty + Tz;
             }
             Tf = Tb + Te;
             T1d = TD + TE;
             Tx = FNMS(KP500000000, Te, Tb);
             TB = Tx + TA;
             T10 = Tx - TA;
             TF = FNMS(KP500000000, TE, TD);
             TG = TC + TF;
             TZ = TF - TC;
        }
        {
             E T1e, Tg, T1b, T1f, T1h, T1i;
             T1e = KP866025403 * (T1c - T1d);
             Tg = Ta + Tf;
             T1b = FNMS(KP500000000, Tg, T5);
             ro[0] = T5 + Tg;
             ro[WS(os, 3)] = T1b + T1e;
             ro[WS(os, 6)] = T1b - T1e;
             T1f = KP866025403 * (Tf - Ta);
             T1h = T1c + T1d;
             T1i = FNMS(KP500000000, T1h, T1g);
             io[WS(os, 3)] = T1f + T1i;
             io[0] = T1g + T1h;
             io[WS(os, 6)] = T1i - T1f;
        }
        {
             E Tl, TS, TI, TN, TM, TT, TJ, TU;
             Tl = Th + Tk;
             TS = TO + TR;
             {
                E Tw, TH, TK, TL;
                Tw = FMA(KP766044443, Tq, KP642787609 * Tv);
                TH = FMA(KP173648177, TB, KP984807753 * TG);
                TI = Tw + TH;
                TN = KP866025403 * (TH - Tw);
                TK = FNMS(KP642787609, Tq, KP766044443 * Tv);
                TL = FNMS(KP984807753, TB, KP173648177 * TG);
                TM = KP866025403 * (TK - TL);
                TT = TK + TL;
             }
             ro[WS(os, 1)] = Tl + TI;
             io[WS(os, 1)] = TS + TT;
             TJ = FNMS(KP500000000, TI, Tl);
             ro[WS(os, 7)] = TJ - TM;
             ro[WS(os, 4)] = TJ + TM;
             TU = FNMS(KP500000000, TT, TS);
             io[WS(os, 4)] = TN + TU;
             io[WS(os, 7)] = TU - TN;
        }
        {
             E TV, T14, T12, T13, T17, T1a, T18, T19;
             TV = Th - Tk;
             T14 = TR - TO;
             {
                E TY, T11, T15, T16;
                TY = FMA(KP173648177, TW, KP984807753 * TX);
                T11 = FNMS(KP939692620, T10, KP342020143 * TZ);
                T12 = TY + T11;
                T13 = KP866025403 * (T11 - TY);
                T15 = FNMS(KP984807753, TW, KP173648177 * TX);
                T16 = FMA(KP342020143, T10, KP939692620 * TZ);
                T17 = T15 - T16;
                T1a = KP866025403 * (T15 + T16);
             }
             ro[WS(os, 2)] = TV + T12;
             io[WS(os, 2)] = T14 + T17;
             T18 = FNMS(KP500000000, T17, T14);
             io[WS(os, 5)] = T13 + T18;
             io[WS(os, 8)] = T18 - T13;
             T19 = FNMS(KP500000000, T12, TV);
             ro[WS(os, 8)] = T19 - T1a;
             ro[WS(os, 5)] = T19 + T1a;
        }
     }
}

static const kdft_desc desc = { 9, "n1_9", {60, 20, 20, 0}, &GENUS, 0, 0, 0, 0 };
void X(codelet_n1_9) (planner *p) {
     X(kdft_register) (p, n1_9, &desc);
}

#endif                        /* HAVE_FMA */

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