hf_9.c

快速fft变换

/*
 * Copyright (c) 2003, 2007-8 Matteo Frigo
 * Copyright (c) 2003, 2007-8 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 Nov 15 20:56:21 EST 2008 */

#include "codelet-rdft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_hc2hc -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 9 -dit -name hf_9 -include hf.h */

/*
 * This function contains 96 FP additions, 88 FP multiplications,
 * (or, 24 additions, 16 multiplications, 72 fused multiply/add),
 * 69 stack variables, 10 constants, and 36 memory accesses
 */
#include "hf.h"

static void hf_9(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP777861913, +0.777861913430206160028177977318626690410586096);
     DK(KP852868531, +0.852868531952443209628250963940074071936020296);
     DK(KP839099631, +0.839099631177280011763127298123181364687434283);
     DK(KP492403876, +0.492403876506104029683371512294761506835321626);
     DK(KP984807753, +0.984807753012208059366743024589523013670643252);
     DK(KP954188894, +0.954188894138671133499268364187245676532219158);
     DK(KP363970234, +0.363970234266202361351047882776834043890471784);
     DK(KP176326980, +0.176326980708464973471090386868618986121633062);
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     INT m;
     for (m = mb, W = W + ((mb - 1) * 16); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 16, MAKE_VOLATILE_STRIDE(rs)) {
	  E T20, T1Z;
	  {
	       E T1, T1P, T1Q, T10, T1S, Te, TB, T1d, T1a, T19, T1M, TE, T1c, Tz, T1n;
	       E TC, TH, TK, T1k, TR, TG, TJ, TD;
	       T1 = cr[0];
	       T1P = ci[0];
	       {
		    E T9, Tc, TY, Ta, Tb, TX, T7;
		    {
			 E T3, T6, T8, TW, T4, T2, T5;
			 T3 = cr[WS(rs, 3)];
			 T6 = ci[WS(rs, 3)];
			 T2 = W[4];
			 T9 = cr[WS(rs, 6)];
			 Tc = ci[WS(rs, 6)];
			 T8 = W[10];
			 TW = T2 * T6;
			 T4 = T2 * T3;
			 T5 = W[5];
			 TY = T8 * Tc;
			 Ta = T8 * T9;
			 Tb = W[11];
			 TX = FNMS(T5, T3, TW);
			 T7 = FMA(T5, T6, T4);
		    }
		    {
			 E Th, Tk, Ti, T12, Tn, Tq, Tp, T17, Tx, T14, To, Tj, TZ, Td, Tg;
			 E TA, Tl, Ty;
			 Th = cr[WS(rs, 1)];
			 TZ = FNMS(Tb, T9, TY);
			 Td = FMA(Tb, Tc, Ta);
			 Tk = ci[WS(rs, 1)];
			 Tg = W[0];
			 T1Q = TX + TZ;
			 T10 = TX - TZ;
			 T1S = Td - T7;
			 Te = T7 + Td;
			 Ti = Tg * Th;
			 T12 = Tg * Tk;
			 {
			      E Tt, Tw, Ts, Tv, T16, Tu, Tm;
			      Tt = cr[WS(rs, 7)];
			      Tw = ci[WS(rs, 7)];
			      Ts = W[12];
			      Tv = W[13];
			      Tn = cr[WS(rs, 4)];
			      Tq = ci[WS(rs, 4)];
			      T16 = Ts * Tw;
			      Tu = Ts * Tt;
			      Tm = W[6];
			      Tp = W[7];
			      T17 = FNMS(Tv, Tt, T16);
			      Tx = FMA(Tv, Tw, Tu);
			      T14 = Tm * Tq;
			      To = Tm * Tn;
			 }
			 Tj = W[1];
			 TB = cr[WS(rs, 2)];
			 {
			      E T15, Tr, T13, T18;
			      T15 = FNMS(Tp, Tn, T14);
			      Tr = FMA(Tp, Tq, To);
			      T13 = FNMS(Tj, Th, T12);
			      Tl = FMA(Tj, Tk, Ti);
			      T18 = T15 + T17;
			      T1d = T15 - T17;
			      Ty = Tr + Tx;
			      T1a = Tr - Tx;
			      T19 = FNMS(KP500000000, T18, T13);
			      T1M = T13 + T18;
			      TE = ci[WS(rs, 2)];
			 }
			 T1c = FNMS(KP500000000, Ty, Tl);
			 Tz = Tl + Ty;
			 TA = W[2];
			 {
			      E TN, TQ, TP, T1j, TO, TM;
			      TN = cr[WS(rs, 8)];
			      TQ = ci[WS(rs, 8)];
			      TM = W[14];
			      T1n = TA * TE;
			      TC = TA * TB;
			      TP = W[15];
			      T1j = TM * TQ;
			      TO = TM * TN;
			      TH = cr[WS(rs, 5)];
			      TK = ci[WS(rs, 5)];
			      T1k = FNMS(TP, TN, T1j);
			      TR = FMA(TP, TQ, TO);
			      TG = W[8];
			      TJ = W[9];
			 }
			 TD = W[3];
		    }
	       }
	       {
		    E TV, Tf, T21, T1R, T1l, T1r, T1q, T1N, TT, T1g;
		    {
			 E T1o, TF, T1i, TL, T1h, TI, TS, T1p;
			 TV = FNMS(KP500000000, Te, T1);
			 Tf = T1 + Te;
			 T1h = TG * TK;
			 TI = TG * TH;
			 T1o = FNMS(TD, TB, T1n);
			 TF = FMA(TD, TE, TC);
			 T1i = FNMS(TJ, TH, T1h);
			 TL = FMA(TJ, TK, TI);
			 T21 = T1Q + T1P;
			 T1R = FNMS(KP500000000, T1Q, T1P);
			 T1p = T1i + T1k;
			 T1l = T1i - T1k;
			 TS = TL + TR;
			 T1r = TR - TL;
			 T1q = FNMS(KP500000000, T1p, T1o);
			 T1N = T1o + T1p;
			 TT = TF + TS;
			 T1g = FNMS(KP500000000, TS, TF);
		    }
		    {
			 E T11, T1z, T1E, T1D, T1X, T1T, T1I, T1C, T1Y, T1y, T1u, T24, TU;
			 T24 = TT - Tz;
			 TU = Tz + TT;
			 {
			      E T22, T1O, T1L, T23;
			      T22 = T1M + T1N;
			      T1O = T1M - T1N;
			      T11 = FNMS(KP866025403, T10, TV);
			      T1z = FMA(KP866025403, T10, TV);
			      T1L = FNMS(KP500000000, TU, Tf);
			      cr[0] = Tf + TU;
			      T23 = FNMS(KP500000000, T22, T21);
			      ci[WS(rs, 8)] = T22 + T21;
			      cr[WS(rs, 3)] = FMA(KP866025403, T1O, T1L);
			      ci[WS(rs, 2)] = FNMS(KP866025403, T1O, T1L);
			      ci[WS(rs, 5)] = FMA(KP866025403, T24, T23);
			      cr[WS(rs, 6)] = FMS(KP866025403, T24, T23);
			 }
			 {
			      E T1B, T1m, T1w, T1f, T1s, T1A, T1b, T1e, T1x, T1t;
			      T1E = FNMS(KP866025403, T1a, T19);
			      T1b = FMA(KP866025403, T1a, T19);
			      T1e = FNMS(KP866025403, T1d, T1c);
			      T1D = FMA(KP866025403, T1d, T1c);
			      T1B = FMA(KP866025403, T1l, T1g);
			      T1m = FNMS(KP866025403, T1l, T1g);
			      T1X = FNMS(KP866025403, T1S, T1R);
			      T1T = FMA(KP866025403, T1S, T1R);
			      T1w = FNMS(KP176326980, T1b, T1e);
			      T1f = FMA(KP176326980, T1e, T1b);
			      T1s = FNMS(KP866025403, T1r, T1q);
			      T1A = FMA(KP866025403, T1r, T1q);
			      T1x = FMA(KP363970234, T1m, T1s);
			      T1t = FNMS(KP363970234, T1s, T1m);
			      T1I = FNMS(KP176326980, T1A, T1B);
			      T1C = FMA(KP176326980, T1B, T1A);
			      T1Y = FMA(KP954188894, T1x, T1w);
			      T1y = FNMS(KP954188894, T1x, T1w);
			      T20 = FMA(KP954188894, T1t, T1f);
			      T1u = FNMS(KP954188894, T1t, T1f);
			 }
			 {
			      E T1F, T1J, T1v, T1U, T1K;
			      ci[WS(rs, 6)] = FNMS(KP984807753, T1Y, T1X);
			      T1v = FNMS(KP492403876, T1u, T11);
			      cr[WS(rs, 2)] = FMA(KP984807753, T1u, T11);
			      T1F = FMA(KP839099631, T1E, T1D);
			      T1J = FNMS(KP839099631, T1D, T1E);
			      ci[WS(rs, 3)] = FNMS(KP852868531, T1y, T1v);
			      ci[0] = FMA(KP852868531, T1y, T1v);
			      T1U = FNMS(KP777861913, T1J, T1I);
			      T1K = FMA(KP777861913, T1J, T1I);
			      {
				   E T1G, T1W, T1V, T1H;
				   T1G = FMA(KP777861913, T1F, T1C);
				   T1W = FNMS(KP777861913, T1F, T1C);
				   T1Z = FMA(KP492403876, T1Y, T1X);
				   T1V = FMA(KP492403876, T1U, T1T);
				   ci[WS(rs, 7)] = FNMS(KP984807753, T1U, T1T);
				   T1H = FNMS(KP492403876, T1G, T1z);
				   cr[WS(rs, 1)] = FMA(KP984807753, T1G, T1z);
				   ci[WS(rs, 4)] = FMA(KP852868531, T1W, T1V);
				   cr[WS(rs, 7)] = FMS(KP852868531, T1W, T1V);
				   cr[WS(rs, 4)] = FMA(KP852868531, T1K, T1H);
				   ci[WS(rs, 1)] = FNMS(KP852868531, T1K, T1H);
			      }
			 }
		    }
	       }
	  }
	  cr[WS(rs, 8)] = -(FMA(KP852868531, T20, T1Z));
	  cr[WS(rs, 5)] = FMS(KP852868531, T20, T1Z);
     }
}

static const tw_instr twinstr[] = {
     {TW_FULL, 1, 9},
     {TW_NEXT, 1, 0}
};

static const hc2hc_desc desc = { 9, "hf_9", twinstr, &GENUS, {24, 16, 72, 0} };

void X(codelet_hf_9) (planner *p) {
     X(khc2hc_register) (p, hf_9, &desc);
}
#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_hc2hc -compact -variables 4 -pipeline-latency 4 -n 9 -dit -name hf_9 -include hf.h */

/*
 * This function contains 96 FP additions, 72 FP multiplications,
 * (or, 60 additions, 36 multiplications, 36 fused multiply/add),
 * 41 stack variables, 8 constants, and 36 memory accesses
 */
#include "hf.h"

static void hf_9(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP642787609, +0.642787609686539326322643409907263432907559884);
     DK(KP766044443, +0.766044443118978035202392650555416673935832457);
     DK(KP939692620, +0.939692620785908384054109277324731469936208134);
     DK(KP342020143, +0.342020143325668733044099614682259580763083368);
     DK(KP984807753, +0.984807753012208059366743024589523013670643252);
     DK(KP173648177, +0.173648177666930348851716626769314796000375677);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     INT m;
     for (m = mb, W = W + ((mb - 1) * 16); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 16, MAKE_VOLATILE_STRIDE(rs)) {
	  E T1, T1B, TQ, T1A, Tc, TN, T1C, T1D, TL, T1x, T19, T1o, T1c, T1n, Tu;
	  E T1w, TW, T1k, T11, T1l;
	  {
	       E T6, TO, Tb, TP;
	       T1 = cr[0];
	       T1B = ci[0];
	       {
		    E T3, T5, T2, T4;
		    T3 = cr[WS(rs, 3)];
		    T5 = ci[WS(rs, 3)];
		    T2 = W[4];
		    T4 = W[5];
		    T6 = FMA(T2, T3, T4 * T5);
		    TO = FNMS(T4, T3, T2 * T5);
	       }
	       {
		    E T8, Ta, T7, T9;
		    T8 = cr[WS(rs, 6)];
		    Ta = ci[WS(rs, 6)];
		    T7 = W[10];
		    T9 = W[11];
		    Tb = FMA(T7, T8, T9 * Ta);
		    TP = FNMS(T9, T8, T7 * Ta);
	       }
	       TQ = KP866025403 * (TO - TP);
	       T1A = KP866025403 * (Tb - T6);
	       Tc = T6 + Tb;
	       TN = FNMS(KP500000000, Tc, T1);
	       T1C = TO + TP;
	       T1D = FNMS(KP500000000, T1C, T1B);
	  }
	  {
	       E Tz, T13, TE, T14, TJ, T15, TK, T16;
	       {
		    E Tw, Ty, Tv, Tx;
		    Tw = cr[WS(rs, 2)];
		    Ty = ci[WS(rs, 2)];
		    Tv = W[2];
		    Tx = W[3];
		    Tz = FMA(Tv, Tw, Tx * Ty);
		    T13 = FNMS(Tx, Tw, Tv * Ty);
	       }
	       {
		    E TB, TD, TA, TC;
		    TB = cr[WS(rs, 5)];
		    TD = ci[WS(rs, 5)];
		    TA = W[8];
		    TC = W[9];
		    TE = FMA(TA, TB, TC * TD);
		    T14 = FNMS(TC, TB, TA * TD);
	       }
	       {
		    E TG, TI, TF, TH;
		    TG = cr[WS(rs, 8)];
		    TI = ci[WS(rs, 8)];
		    TF = W[14];
		    TH = W[15];
		    TJ = FMA(TF, TG, TH * TI);
		    T15 = FNMS(TH, TG, TF * TI);
	       }
	       TK = TE + TJ;
	       T16 = T14 + T15;
	       TL = Tz + TK;
	       T1x = T13 + T16;
	       {
		    E T17, T18, T1a, T1b;
		    T17 = FNMS(KP500000000, T16, T13);
		    T18 = KP866025403 * (TJ - TE);
		    T19 = T17 - T18;
		    T1o = T18 + T17;
		    T1a = FNMS(KP500000000, TK, Tz);
		    T1b = KP866025403 * (T14 - T15);
		    T1c = T1a - T1b;
		    T1n = T1a + T1b;
	       }
	  }
	  {
	       E Ti, TX, Tn, TT, Ts, TU, Tt, TY;
	       {
		    E Tf, Th, Te, Tg;
		    Tf = cr[WS(rs, 1)];
		    Th = ci[WS(rs, 1)];
		    Te = W[0];
		    Tg = W[1];
		    Ti = FMA(Te, Tf, Tg * Th);
		    TX = FNMS(Tg, Tf, Te * Th);
	       }
	       {
		    E Tk, Tm, Tj, Tl;
		    Tk = cr[WS(rs, 4)];
		    Tm = ci[WS(rs, 4)];
		    Tj = W[6];
		    Tl = W[7];
		    Tn = FMA(Tj, Tk, Tl * Tm);
		    TT = FNMS(Tl, Tk, Tj * Tm);
	       }
	       {
		    E Tp, Tr, To, Tq;
		    Tp = cr[WS(rs, 7)];
		    Tr = ci[WS(rs, 7)];
		    To = W[12];
		    Tq = W[13];
		    Ts = FMA(To, Tp, Tq * Tr);
		    TU = FNMS(Tq, Tp, To * Tr);
	       }
	       Tt = Tn + Ts;
	       TY = TT + TU;
	       Tu = Ti + Tt;
	       T1w = TX + TY;
	       {
		    E TS, TV, TZ, T10;
		    TS = FNMS(KP500000000, Tt, Ti);
		    TV = KP866025403 * (TT - TU);
		    TW = TS - TV;
		    T1k = TS + TV;
		    TZ = FNMS(KP500000000, TY, TX);
		    T10 = KP866025403 * (Ts - Tn);
		    T11 = TZ - T10;
		    T1l = T10 + TZ;
	       }
	  }
	  {
	       E T1y, Td, TM, T1v;
	       T1y = KP866025403 * (T1w - T1x);
	       Td = T1 + Tc;
	       TM = Tu + TL;
	       T1v = FNMS(KP500000000, TM, Td);
	       cr[0] = Td + TM;
	       cr[WS(rs, 3)] = T1v + T1y;
	       ci[WS(rs, 2)] = T1v - T1y;
	  }
	  {
	       E TR, T1I, T1e, T1K, T1i, T1H, T1f, T1J;
	       TR = TN - TQ;
	       T1I = T1D - T1A;
	       {
		    E T12, T1d, T1g, T1h;
		    T12 = FMA(KP173648177, TW, KP984807753 * T11);
		    T1d = FNMS(KP939692620, T1c, KP342020143 * T19);
		    T1e = T12 + T1d;
		    T1K = KP866025403 * (T1d - T12);
		    T1g = FNMS(KP984807753, TW, KP173648177 * T11);
		    T1h = FMA(KP342020143, T1c, KP939692620 * T19);
		    T1i = KP866025403 * (T1g + T1h);
		    T1H = T1g - T1h;
	       }
	       cr[WS(rs, 2)] = TR + T1e;
	       ci[WS(rs, 6)] = T1H + T1I;
	       T1f = FNMS(KP500000000, T1e, TR);
	       ci[0] = T1f - T1i;
	       ci[WS(rs, 3)] = T1f + T1i;
	       T1J = FMS(KP500000000, T1H, T1I);
	       cr[WS(rs, 5)] = T1J - T1K;
	       cr[WS(rs, 8)] = T1K + T1J;
	  }
	  {
	       E T1L, T1M, T1N, T1O;
	       T1L = KP866025403 * (TL - Tu);
	       T1M = T1C + T1B;
	       T1N = T1w + T1x;
	       T1O = FNMS(KP500000000, T1N, T1M);
	       cr[WS(rs, 6)] = T1L - T1O;
	       ci[WS(rs, 8)] = T1N + T1M;
	       ci[WS(rs, 5)] = T1L + T1O;
	  }
	  {
	       E T1j, T1E, T1q, T1z, T1u, T1F, T1r, T1G;
	       T1j = TN + TQ;
	       T1E = T1A + T1D;
	       {
		    E T1m, T1p, T1s, T1t;
		    T1m = FMA(KP766044443, T1k, KP642787609 * T1l);
		    T1p = FMA(KP173648177, T1n, KP984807753 * T1o);
		    T1q = T1m + T1p;
		    T1z = KP866025403 * (T1p - T1m);
		    T1s = FNMS(KP642787609, T1k, KP766044443 * T1l);
		    T1t = FNMS(KP984807753, T1n, KP173648177 * T1o);
		    T1u = KP866025403 * (T1s - T1t);
		    T1F = T1s + T1t;
	       }
	       cr[WS(rs, 1)] = T1j + T1q;
	       T1r = FNMS(KP500000000, T1q, T1j);
	       ci[WS(rs, 1)] = T1r - T1u;
	       cr[WS(rs, 4)] = T1r + T1u;
	       ci[WS(rs, 7)] = T1F + T1E;
	       T1G = FNMS(KP500000000, T1F, T1E);
	       cr[WS(rs, 7)] = T1z - T1G;
	       ci[WS(rs, 4)] = T1z + T1G;
	  }
     }
}

static const tw_instr twinstr[] = {
     {TW_FULL, 1, 9},
     {TW_NEXT, 1, 0}
};

static const hc2hc_desc desc = { 9, "hf_9", twinstr, &GENUS, {60, 36, 36, 0} };

void X(codelet_hf_9) (planner *p) {
     X(khc2hc_register) (p, hf_9, &desc);
}
#endif				/* HAVE_FMA */