hb2_5.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 21:08:06 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 -sign 1 -twiddle-log3 -precompute-twiddles -n 5 -dif -name hb2_5 -include hb.h */

/*
 * This function contains 44 FP additions, 40 FP multiplications,
 * (or, 14 additions, 10 multiplications, 30 fused multiply/add),
 * 51 stack variables, 4 constants, and 20 memory accesses
 */
#include "hb.h"

static void hb2_5(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DK(KP618033988, +0.618033988749894848204586834365638117720309180);
     INT m;
     for (m = mb, W = W + ((mb - 1) * 4); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 4, MAKE_VOLATILE_STRIDE(rs)) {
	  E T9, TB, Tz, Tm, T1, TG, TO, TJ, TC, Tn, Tg, To, Tf, Tw, TQ;
	  E T8, Tb, Th, Ta, Ti, Tp;
	  T9 = W[0];
	  TB = W[3];
	  Tz = W[2];
	  Tm = W[1];
	  {
	       E T4, Tu, T5, T6;
	       T1 = cr[0];
	       {
		    E TF, TA, T2, T3;
		    TF = T9 * TB;
		    TA = T9 * Tz;
		    T2 = cr[WS(rs, 1)];
		    T3 = ci[0];
		    TG = FMA(Tm, Tz, TF);
		    TO = FNMS(Tm, Tz, TF);
		    TJ = FMA(Tm, TB, TA);
		    TC = FNMS(Tm, TB, TA);
		    T4 = T2 + T3;
		    Tu = T2 - T3;
		    T5 = cr[WS(rs, 2)];
		    T6 = ci[WS(rs, 1)];
	       }
	       Tn = ci[WS(rs, 4)];
	       {
		    E Td, Te, T7, Tv;
		    Td = ci[WS(rs, 3)];
		    Te = cr[WS(rs, 4)];
		    T7 = T5 + T6;
		    Tv = T5 - T6;
		    Tg = ci[WS(rs, 2)];
		    To = Td - Te;
		    Tf = Td + Te;
		    Tw = FMA(KP618033988, Tv, Tu);
		    TQ = FNMS(KP618033988, Tu, Tv);
		    T8 = T4 + T7;
		    Tb = T4 - T7;
		    Th = cr[WS(rs, 3)];
	       }
	  }
	  cr[0] = T1 + T8;
	  Ta = FNMS(KP250000000, T8, T1);
	  Ti = Tg + Th;
	  Tp = Tg - Th;
	  {
	       E Tc, TK, Ts, Tq;
	       Tc = FMA(KP559016994, Tb, Ta);
	       TK = FNMS(KP559016994, Tb, Ta);
	       Ts = To - Tp;
	       Tq = To + Tp;
	       {
		    E Tj, TL, Tr, TM, TT;
		    Tj = FMA(KP618033988, Ti, Tf);
		    TL = FNMS(KP618033988, Tf, Ti);
		    ci[0] = Tn + Tq;
		    Tr = FNMS(KP250000000, Tq, Tn);
		    TM = FMA(KP951056516, TL, TK);
		    TT = FNMS(KP951056516, TL, TK);
		    {
			 E Tk, TD, Tt, TP;
			 Tk = FNMS(KP951056516, Tj, Tc);
			 TD = FMA(KP951056516, Tj, Tc);
			 Tt = FMA(KP559016994, Ts, Tr);
			 TP = FNMS(KP559016994, Ts, Tr);
			 {
			      E TW, TU, TS, TN;
			      TW = TB * TT;
			      TU = Tz * TT;
			      TS = TO * TM;
			      TN = TJ * TM;
			      {
				   E TI, TE, Ty, Tl;
				   TI = TG * TD;
				   TE = TC * TD;
				   Ty = Tm * Tk;
				   Tl = T9 * Tk;
				   {
					E TR, TV, Tx, TH;
					TR = FNMS(KP951056516, TQ, TP);
					TV = FMA(KP951056516, TQ, TP);
					Tx = FMA(KP951056516, Tw, Tt);
					TH = FNMS(KP951056516, Tw, Tt);
					ci[WS(rs, 3)] = FMA(Tz, TV, TW);
					cr[WS(rs, 3)] = FNMS(TB, TV, TU);
					ci[WS(rs, 2)] = FMA(TJ, TR, TS);
					cr[WS(rs, 2)] = FNMS(TO, TR, TN);
					ci[WS(rs, 4)] = FMA(TC, TH, TI);
					cr[WS(rs, 4)] = FNMS(TG, TH, TE);
					ci[WS(rs, 1)] = FMA(T9, Tx, Ty);
					cr[WS(rs, 1)] = FNMS(Tm, Tx, Tl);
				   }
			      }
			 }
		    }
	       }
	  }
     }
}

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

static const hc2hc_desc desc = { 5, "hb2_5", twinstr, &GENUS, {14, 10, 30, 0} };

void X(codelet_hb2_5) (planner *p) {
     X(khc2hc_register) (p, hb2_5, &desc);
}
#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_hc2hc -compact -variables 4 -pipeline-latency 4 -sign 1 -twiddle-log3 -precompute-twiddles -n 5 -dif -name hb2_5 -include hb.h */

/*
 * This function contains 44 FP additions, 32 FP multiplications,
 * (or, 30 additions, 18 multiplications, 14 fused multiply/add),
 * 33 stack variables, 4 constants, and 20 memory accesses
 */
#include "hb.h"

static void hb2_5(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DK(KP587785252, +0.587785252292473129168705954639072768597652438);
     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
     INT m;
     for (m = mb, W = W + ((mb - 1) * 4); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 4, MAKE_VOLATILE_STRIDE(rs)) {
	  E Th, Tk, Ti, Tl, Tn, TP, Tx, TN;
	  {
	       E Tj, Tw, Tm, Tv;
	       Th = W[0];
	       Tk = W[1];
	       Ti = W[2];
	       Tl = W[3];
	       Tj = Th * Ti;
	       Tw = Tk * Ti;
	       Tm = Tk * Tl;
	       Tv = Th * Tl;
	       Tn = Tj + Tm;
	       TP = Tv + Tw;
	       Tx = Tv - Tw;
	       TN = Tj - Tm;
	  }
	  {
	       E T1, Tp, TK, TA, T8, To, T9, Tt, TI, TC, Tg, TB;
	       {
		    E T4, Ty, T7, Tz;
		    T1 = cr[0];
		    {
			 E T2, T3, T5, T6;
			 T2 = cr[WS(rs, 1)];
			 T3 = ci[0];
			 T4 = T2 + T3;
			 Ty = T2 - T3;
			 T5 = cr[WS(rs, 2)];
			 T6 = ci[WS(rs, 1)];
			 T7 = T5 + T6;
			 Tz = T5 - T6;
		    }
		    Tp = KP559016994 * (T4 - T7);
		    TK = FMA(KP951056516, Ty, KP587785252 * Tz);
		    TA = FNMS(KP951056516, Tz, KP587785252 * Ty);
		    T8 = T4 + T7;
		    To = FNMS(KP250000000, T8, T1);
	       }
	       {
		    E Tc, Tr, Tf, Ts;
		    T9 = ci[WS(rs, 4)];
		    {
			 E Ta, Tb, Td, Te;
			 Ta = ci[WS(rs, 3)];
			 Tb = cr[WS(rs, 4)];
			 Tc = Ta - Tb;
			 Tr = Ta + Tb;
			 Td = ci[WS(rs, 2)];
			 Te = cr[WS(rs, 3)];
			 Tf = Td - Te;
			 Ts = Td + Te;
		    }
		    Tt = FNMS(KP951056516, Ts, KP587785252 * Tr);
		    TI = FMA(KP951056516, Tr, KP587785252 * Ts);
		    TC = KP559016994 * (Tc - Tf);
		    Tg = Tc + Tf;
		    TB = FNMS(KP250000000, Tg, T9);
	       }
	       cr[0] = T1 + T8;
	       ci[0] = T9 + Tg;
	       {
		    E Tu, TF, TE, TG, Tq, TD;
		    Tq = To - Tp;
		    Tu = Tq - Tt;
		    TF = Tq + Tt;
		    TD = TB - TC;
		    TE = TA + TD;
		    TG = TD - TA;
		    cr[WS(rs, 2)] = FNMS(Tx, TE, Tn * Tu);
		    ci[WS(rs, 2)] = FMA(Tn, TE, Tx * Tu);
		    cr[WS(rs, 3)] = FNMS(Tl, TG, Ti * TF);
		    ci[WS(rs, 3)] = FMA(Ti, TG, Tl * TF);
	       }
	       {
		    E TJ, TO, TM, TQ, TH, TL;
		    TH = Tp + To;
		    TJ = TH - TI;
		    TO = TH + TI;
		    TL = TC + TB;
		    TM = TK + TL;
		    TQ = TL - TK;
		    cr[WS(rs, 1)] = FNMS(Tk, TM, Th * TJ);
		    ci[WS(rs, 1)] = FMA(Th, TM, Tk * TJ);
		    cr[WS(rs, 4)] = FNMS(TP, TQ, TN * TO);
		    ci[WS(rs, 4)] = FMA(TN, TQ, TP * TO);
	       }
	  }
     }
}

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

static const hc2hc_desc desc = { 5, "hb2_5", twinstr, &GENUS, {30, 18, 14, 0} };

void X(codelet_hb2_5) (planner *p) {
     X(khc2hc_register) (p, hb2_5, &desc);
}
#endif				/* HAVE_FMA */