hc2cfdft_6.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 21:03:18 EST 2008 */

#include "codelet-rdft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_hc2cdft -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 6 -dit -name hc2cfdft_6 -include hc2cf.h */

/*
 * This function contains 58 FP additions, 44 FP multiplications,
 * (or, 36 additions, 22 multiplications, 22 fused multiply/add),
 * 42 stack variables, 2 constants, and 24 memory accesses
 */
#include "hc2cf.h"

static void hc2cfdft_6(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     INT m;
     for (m = mb, W = W + ((mb - 1) * 10); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 10, MAKE_VOLATILE_STRIDE(rs)) {
	  E TP, TT, TN, TM, TY, T13;
	  {
	       E T3, TQ, TJ, T12, Tu, TB, TX, T10, Tj, Tf, Ti, Td, Th, TU, TS;
	       {
		    E TC, TI, TF, TH, TA, Tw, TZ;
		    {
			 E T1, T2, TD, TE;
			 T1 = Ip[0];
			 T2 = Im[0];
			 TD = Rm[0];
			 TE = Rp[0];
			 TC = W[0];
			 T3 = T1 - T2;
			 TI = T1 + T2;
			 TQ = TE + TD;
			 TF = TD - TE;
			 TH = W[1];
		    }
		    {
			 E Tr, To, Ts, Tl, Tq;
			 {
			      E Tm, Tn, TG, T11;
			      Tm = Rm[WS(rs, 2)];
			      Tn = Rp[WS(rs, 2)];
			      TG = TC * TF;
			      T11 = TH * TF;
			      Tr = Ip[WS(rs, 2)];
			      TA = Tn + Tm;
			      To = Tm - Tn;
			      TJ = FNMS(TH, TI, TG);
			      T12 = FMA(TC, TI, T11);
			      Ts = Im[WS(rs, 2)];
			 }
			 Tl = W[8];
			 Tq = W[9];
			 {
			      E Tz, Ty, TW, Tx, Tt, Tp;
			      Tw = W[6];
			      Tx = Tr - Ts;
			      Tt = Tr + Ts;
			      Tp = Tl * To;
			      Tz = W[7];
			      Ty = Tw * Tx;
			      TW = Tl * Tt;
			      Tu = FNMS(Tq, Tt, Tp);
			      TZ = Tz * Tx;
			      TB = FNMS(Tz, TA, Ty);
			      TX = FMA(Tq, To, TW);
			 }
		    }
		    {
			 E T5, T6, Ta, Tb;
			 T5 = Ip[WS(rs, 1)];
			 T10 = FMA(Tw, TA, TZ);
			 T6 = Im[WS(rs, 1)];
			 Ta = Rp[WS(rs, 1)];
			 Tb = Rm[WS(rs, 1)];
			 {
			      E T4, Tg, T7, Tc, T9, T8, TR;
			      T4 = W[5];
			      Tg = T5 - T6;
			      T7 = T5 + T6;
			      Tj = Ta + Tb;
			      Tc = Ta - Tb;
			      T9 = W[4];
			      T8 = T4 * T7;
			      Tf = W[2];
			      Ti = W[3];
			      TR = T9 * T7;
			      Td = FMA(T9, Tc, T8);
			      Th = Tf * Tg;
			      TU = Ti * Tg;
			      TS = FNMS(T4, Tc, TR);
			 }
		    }
	       }
	       {
		    E Te, T1d, TK, Tv, T1a, T1b, Tk, TV;
		    TP = Td + T3;
		    Te = T3 - Td;
		    Tk = FNMS(Ti, Tj, Th);
		    TV = FMA(Tf, Tj, TU);
		    T1d = TQ + TS;
		    TT = TQ - TS;
		    TN = TJ - TB;
		    TK = TB + TJ;
		    Tv = Tk + Tu;
		    TM = Tu - Tk;
		    TY = TV - TX;
		    T1a = TV + TX;
		    T1b = T10 + T12;
		    T13 = T10 - T12;
		    {
			 E T1g, TL, T1e, T1c, T19, T1f;
			 T1g = Tv - TK;
			 TL = Tv + TK;
			 T1e = T1a + T1b;
			 T1c = T1a - T1b;
			 T19 = FNMS(KP500000000, TL, Te);
			 Ip[0] = KP500000000 * (Te + TL);
			 T1f = FNMS(KP500000000, T1e, T1d);
			 Rp[0] = KP500000000 * (T1d + T1e);
			 Im[WS(rs, 1)] = -(KP500000000 * (FNMS(KP866025403, T1c, T19)));
			 Ip[WS(rs, 2)] = KP500000000 * (FMA(KP866025403, T1c, T19));
			 Rm[WS(rs, 1)] = KP500000000 * (FMA(KP866025403, T1g, T1f));
			 Rp[WS(rs, 2)] = KP500000000 * (FNMS(KP866025403, T1g, T1f));
		    }
	       }
	  }
	  {
	       E TO, T16, T14, T18, T17, T15;
	       TO = TM + TN;
	       T16 = TN - TM;
	       T14 = TY + T13;
	       T18 = T13 - TY;
	       T17 = FMA(KP500000000, TO, TP);
	       Im[WS(rs, 2)] = KP500000000 * (TO - TP);
	       T15 = FNMS(KP500000000, T14, TT);
	       Rm[WS(rs, 2)] = KP500000000 * (TT + T14);
	       Im[0] = -(KP500000000 * (FNMS(KP866025403, T18, T17)));
	       Ip[WS(rs, 1)] = KP500000000 * (FMA(KP866025403, T18, T17));
	       Rm[0] = KP500000000 * (FNMS(KP866025403, T16, T15));
	       Rp[WS(rs, 1)] = KP500000000 * (FMA(KP866025403, T16, T15));
	  }
     }
}

static const tw_instr twinstr[] = {
     {TW_FULL, 1, 6},
     {TW_NEXT, 1, 0}
};

static const hc2c_desc desc = { 6, "hc2cfdft_6", twinstr, &GENUS, {36, 22, 22, 0} };

void X(codelet_hc2cfdft_6) (planner *p) {
     X(khc2c_register) (p, hc2cfdft_6, &desc, HC2C_VIA_DFT);
}
#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_hc2cdft -compact -variables 4 -pipeline-latency 4 -n 6 -dit -name hc2cfdft_6 -include hc2cf.h */

/*
 * This function contains 58 FP additions, 36 FP multiplications,
 * (or, 44 additions, 22 multiplications, 14 fused multiply/add),
 * 40 stack variables, 3 constants, and 24 memory accesses
 */
#include "hc2cf.h"

static void hc2cfdft_6(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     DK(KP433012701, +0.433012701892219323381861585376468091735701313);
     INT m;
     for (m = mb, W = W + ((mb - 1) * 10); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 10, MAKE_VOLATILE_STRIDE(rs)) {
	  E T3, TM, Tc, TN, Ts, T10, TI, TR, TF, T11, TH, TU;
	  {
	       E T1, T2, TD, Tz, TA, TB, T7, Tf, Tb, Th, Tq, Tw, Tm, Tu, T4;
	       E T8;
	       {
		    E T5, T6, T9, Ta;
		    T1 = Ip[0];
		    T2 = Im[0];
		    TD = T1 + T2;
		    Tz = Rm[0];
		    TA = Rp[0];
		    TB = Tz - TA;
		    T5 = Ip[WS(rs, 1)];
		    T6 = Im[WS(rs, 1)];
		    T7 = T5 + T6;
		    Tf = T5 - T6;
		    T9 = Rp[WS(rs, 1)];
		    Ta = Rm[WS(rs, 1)];
		    Tb = T9 - Ta;
		    Th = T9 + Ta;
		    {
			 E To, Tp, Tk, Tl;
			 To = Rp[WS(rs, 2)];
			 Tp = Rm[WS(rs, 2)];
			 Tq = To - Tp;
			 Tw = To + Tp;
			 Tk = Ip[WS(rs, 2)];
			 Tl = Im[WS(rs, 2)];
			 Tm = Tk + Tl;
			 Tu = Tk - Tl;
		    }
	       }
	       T3 = T1 - T2;
	       TM = TA + Tz;
	       T4 = W[5];
	       T8 = W[4];
	       Tc = FMA(T4, T7, T8 * Tb);
	       TN = FNMS(T4, Tb, T8 * T7);
	       {
		    E Ti, TP, Tr, TQ;
		    {
			 E Te, Tg, Tj, Tn;
			 Te = W[2];
			 Tg = W[3];
			 Ti = FNMS(Tg, Th, Te * Tf);
			 TP = FMA(Tg, Tf, Te * Th);
			 Tj = W[9];
			 Tn = W[8];
			 Tr = FMA(Tj, Tm, Tn * Tq);
			 TQ = FNMS(Tj, Tq, Tn * Tm);
		    }
		    Ts = Ti - Tr;
		    T10 = TP + TQ;
		    TI = Ti + Tr;
		    TR = TP - TQ;
	       }
	       {
		    E Tx, TS, TE, TT;
		    {
			 E Tt, Tv, Ty, TC;
			 Tt = W[6];
			 Tv = W[7];
			 Tx = FNMS(Tv, Tw, Tt * Tu);
			 TS = FMA(Tv, Tu, Tt * Tw);
			 Ty = W[0];
			 TC = W[1];
			 TE = FNMS(TC, TD, Ty * TB);
			 TT = FMA(TC, TB, Ty * TD);
		    }
		    TF = Tx + TE;
		    T11 = TS + TT;
		    TH = TE - Tx;
		    TU = TS - TT;
	       }
	  }
	  {
	       E T12, Td, TG, TZ;
	       T12 = KP433012701 * (T10 - T11);
	       Td = T3 - Tc;
	       TG = Ts + TF;
	       TZ = FNMS(KP250000000, TG, KP500000000 * Td);
	       Ip[0] = KP500000000 * (Td + TG);
	       Im[WS(rs, 1)] = T12 - TZ;
	       Ip[WS(rs, 2)] = TZ + T12;
	  }
	  {
	       E T16, T13, T14, T15;
	       T16 = KP433012701 * (Ts - TF);
	       T13 = TM + TN;
	       T14 = T10 + T11;
	       T15 = FNMS(KP250000000, T14, KP500000000 * T13);
	       Rp[WS(rs, 2)] = T15 - T16;
	       Rp[0] = KP500000000 * (T13 + T14);
	       Rm[WS(rs, 1)] = T16 + T15;
	  }
	  {
	       E TY, TJ, TK, TX;
	       TY = KP433012701 * (TU - TR);
	       TJ = TH - TI;
	       TK = Tc + T3;
	       TX = FMA(KP500000000, TK, KP250000000 * TJ);
	       Im[WS(rs, 2)] = KP500000000 * (TJ - TK);
	       Im[0] = TY - TX;
	       Ip[WS(rs, 1)] = TX + TY;
	  }
	  {
	       E TL, TO, TV, TW;
	       TL = KP433012701 * (TI + TH);
	       TO = TM - TN;
	       TV = TR + TU;
	       TW = FNMS(KP250000000, TV, KP500000000 * TO);
	       Rp[WS(rs, 1)] = TL + TW;
	       Rm[WS(rs, 2)] = KP500000000 * (TO + TV);
	       Rm[0] = TW - TL;
	  }
     }
}

static const tw_instr twinstr[] = {
     {TW_FULL, 1, 6},
     {TW_NEXT, 1, 0}
};

static const hc2c_desc desc = { 6, "hc2cfdft_6", twinstr, &GENUS, {44, 22, 14, 0} };

void X(codelet_hc2cfdft_6) (planner *p) {
     X(khc2c_register) (p, hc2cfdft_6, &desc, HC2C_VIA_DFT);
}
#endif				/* HAVE_FMA */