r2cf_15.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 20:55:53 EST 2008 */

#include "codelet-rdft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_r2cf -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 15 -name r2cf_15 -include r2cf.h */

/*
 * This function contains 64 FP additions, 35 FP multiplications,
 * (or, 36 additions, 7 multiplications, 28 fused multiply/add),
 * 50 stack variables, 8 constants, and 30 memory accesses
 */
#include "r2cf.h"

static void r2cf_15(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP910592997, +0.910592997310029334643087372129977886038870291);
     DK(KP823639103, +0.823639103546331925877420039278190003029660514);
     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DK(KP618033988, +0.618033988749894848204586834365638117720309180);
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     INT i;
     for (i = v; i > 0; i = i - 1, R0 = R0 + ivs, R1 = R1 + ivs, Cr = Cr + ovs, Ci = Ci + ovs, MAKE_VOLATILE_STRIDE(rs), MAKE_VOLATILE_STRIDE(csr), MAKE_VOLATILE_STRIDE(csi)) {
	  E Tw, Tz, Tp, Ty;
	  {
	       E Ti, TF, TR, TN, TX, T11, TM, TS, Tl, TH, Tf, To, TT, TD, Tg;
	       E Th;
	       TD = R0[0];
	       Tg = R0[WS(rs, 5)];
	       Th = R1[WS(rs, 2)];
	       {
		    E Tj, Tq, Tt, Tm, T3, Tk, T4, Ta, Tr, Td, Tu, T5, TE;
		    Tj = R1[WS(rs, 1)];
		    Tq = R0[WS(rs, 3)];
		    Tt = R1[WS(rs, 4)];
		    TE = Th + Tg;
		    Ti = Tg - Th;
		    Tm = R0[WS(rs, 6)];
		    {
			 E T8, T9, T1, T2, Tb, Tc;
			 T1 = R0[WS(rs, 4)];
			 T2 = R1[WS(rs, 6)];
			 TF = FNMS(KP500000000, TE, TD);
			 TR = TD + TE;
			 T8 = R1[WS(rs, 5)];
			 T3 = T1 - T2;
			 Tk = T1 + T2;
			 T9 = R1[0];
			 Tb = R0[WS(rs, 7)];
			 Tc = R0[WS(rs, 2)];
			 T4 = R0[WS(rs, 1)];
			 Ta = T8 - T9;
			 Tr = T8 + T9;
			 Td = Tb - Tc;
			 Tu = Tb + Tc;
			 T5 = R1[WS(rs, 3)];
		    }
		    {
			 E Ts, Tv, Te, Tn, T7, T6, TV, TW;
			 TV = Tq + Tr;
			 Ts = FNMS(KP500000000, Tr, Tq);
			 Tv = FNMS(KP500000000, Tu, Tt);
			 TW = Tt + Tu;
			 Te = Ta + Td;
			 TN = Td - Ta;
			 Tn = T4 + T5;
			 T6 = T4 - T5;
			 TX = TV + TW;
			 T11 = TW - TV;
			 TM = T6 - T3;
			 T7 = T3 + T6;
			 TS = Tj + Tk;
			 Tl = FNMS(KP500000000, Tk, Tj);
			 TH = Ts + Tv;
			 Tw = Ts - Tv;
			 Tz = Te - T7;
			 Tf = T7 + Te;
			 To = FNMS(KP500000000, Tn, Tm);
			 TT = Tm + Tn;
		    }
	       }
	       {
		    E TO, TQ, TU, T12, TK, TI, TG;
		    Ci[WS(csi, 5)] = KP866025403 * (Tf - Ti);
		    TG = Tl + To;
		    Tp = Tl - To;
		    TO = FMA(KP618033988, TN, TM);
		    TQ = FNMS(KP618033988, TM, TN);
		    TU = TS + TT;
		    T12 = TS - TT;
		    TK = TG - TH;
		    TI = TG + TH;
		    {
			 E T10, TY, TL, TP, TJ, TZ;
			 T10 = TU - TX;
			 TY = TU + TX;
			 Cr[WS(csr, 5)] = TF + TI;
			 TJ = FNMS(KP250000000, TI, TF);
			 Ci[WS(csi, 6)] = -(KP951056516 * (FNMS(KP618033988, T11, T12)));
			 Ci[WS(csi, 3)] = KP951056516 * (FMA(KP618033988, T12, T11));
			 TL = FMA(KP559016994, TK, TJ);
			 TP = FNMS(KP559016994, TK, TJ);
			 Cr[0] = TR + TY;
			 TZ = FNMS(KP250000000, TY, TR);
			 Cr[WS(csr, 4)] = FNMS(KP823639103, TO, TL);
			 Cr[WS(csr, 1)] = FMA(KP823639103, TO, TL);
			 Cr[WS(csr, 7)] = FNMS(KP823639103, TQ, TP);
			 Cr[WS(csr, 2)] = FMA(KP823639103, TQ, TP);
			 Cr[WS(csr, 6)] = FMA(KP559016994, T10, TZ);
			 Cr[WS(csr, 3)] = FNMS(KP559016994, T10, TZ);
			 Ty = FMA(KP250000000, Tf, Ti);
		    }
	       }
	  }
	  {
	       E TB, Tx, TC, TA;
	       TB = FNMS(KP618033988, Tp, Tw);
	       Tx = FMA(KP618033988, Tw, Tp);
	       TC = FNMS(KP559016994, Tz, Ty);
	       TA = FMA(KP559016994, Tz, Ty);
	       Ci[WS(csi, 2)] = KP951056516 * (FNMS(KP910592997, TC, TB));
	       Ci[WS(csi, 7)] = KP951056516 * (FMA(KP910592997, TC, TB));
	       Ci[WS(csi, 4)] = KP951056516 * (FMA(KP910592997, TA, Tx));
	       Ci[WS(csi, 1)] = -(KP951056516 * (FNMS(KP910592997, TA, Tx)));
	  }
     }
}

static const kr2c_desc desc = { 15, "r2cf_15", {36, 7, 28, 0}, &GENUS };

void X(codelet_r2cf_15) (planner *p) {
     X(kr2c_register) (p, r2cf_15, &desc);
}

#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_r2cf -compact -variables 4 -pipeline-latency 4 -n 15 -name r2cf_15 -include r2cf.h */

/*
 * This function contains 64 FP additions, 25 FP multiplications,
 * (or, 50 additions, 11 multiplications, 14 fused multiply/add),
 * 47 stack variables, 10 constants, and 30 memory accesses
 */
#include "r2cf.h"

static void r2cf_15(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP484122918, +0.484122918275927110647408174972799951354115213);
     DK(KP216506350, +0.216506350946109661690930792688234045867850657);
     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
     DK(KP587785252, +0.587785252292473129168705954639072768597652438);
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
     DK(KP509036960, +0.509036960455127183450980863393907648510733164);
     DK(KP823639103, +0.823639103546331925877420039278190003029660514);
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     INT i;
     for (i = v; i > 0; i = i - 1, R0 = R0 + ivs, R1 = R1 + ivs, Cr = Cr + ovs, Ci = Ci + ovs, MAKE_VOLATILE_STRIDE(rs), MAKE_VOLATILE_STRIDE(csr), MAKE_VOLATILE_STRIDE(csi)) {
	  E Ti, TR, TL, TD, TE, T7, Te, Tf, TV, TW, TX, Tv, Ty, TH, To;
	  E Tr, TG, TS, TT, TU;
	  {
	       E TJ, Tg, Th, TK;
	       TJ = R0[0];
	       Tg = R0[WS(rs, 5)];
	       Th = R1[WS(rs, 2)];
	       TK = Th + Tg;
	       Ti = Tg - Th;
	       TR = TJ + TK;
	       TL = FNMS(KP500000000, TK, TJ);
	  }
	  {
	       E Tm, Tt, Tw, Tp, T3, Tx, Ta, Tn, Td, Tq, T6, Tu;
	       Tm = R1[WS(rs, 1)];
	       Tt = R0[WS(rs, 3)];
	       Tw = R1[WS(rs, 4)];
	       Tp = R0[WS(rs, 6)];
	       {
		    E T1, T2, T8, T9;
		    T1 = R0[WS(rs, 7)];
		    T2 = R0[WS(rs, 2)];
		    T3 = T1 - T2;
		    Tx = T1 + T2;
		    T8 = R1[WS(rs, 6)];
		    T9 = R0[WS(rs, 4)];
		    Ta = T8 - T9;
		    Tn = T9 + T8;
	       }
	       {
		    E Tb, Tc, T4, T5;
		    Tb = R1[WS(rs, 3)];
		    Tc = R0[WS(rs, 1)];
		    Td = Tb - Tc;
		    Tq = Tc + Tb;
		    T4 = R1[0];
		    T5 = R1[WS(rs, 5)];
		    T6 = T4 - T5;
		    Tu = T5 + T4;
	       }
	       TD = Ta - Td;
	       TE = T6 + T3;
	       T7 = T3 - T6;
	       Te = Ta + Td;
	       Tf = T7 - Te;
	       TV = Tt + Tu;
	       TW = Tw + Tx;
	       TX = TV + TW;
	       Tv = FNMS(KP500000000, Tu, Tt);
	       Ty = FNMS(KP500000000, Tx, Tw);
	       TH = Tv + Ty;
	       To = FNMS(KP500000000, Tn, Tm);
	       Tr = FNMS(KP500000000, Tq, Tp);
	       TG = To + Tr;
	       TS = Tm + Tn;
	       TT = Tp + Tq;
	       TU = TS + TT;
	  }
	  Ci[WS(csi, 5)] = KP866025403 * (Tf - Ti);
	  {
	       E TF, TP, TI, TM, TN, TQ, TO;
	       TF = FMA(KP823639103, TD, KP509036960 * TE);
	       TP = FNMS(KP509036960, TD, KP823639103 * TE);
	       TI = KP559016994 * (TG - TH);
	       TM = TG + TH;
	       TN = FNMS(KP250000000, TM, TL);
	       Cr[WS(csr, 5)] = TL + TM;
	       TQ = TN - TI;
	       Cr[WS(csr, 2)] = TP + TQ;
	       Cr[WS(csr, 7)] = TQ - TP;
	       TO = TI + TN;
	       Cr[WS(csr, 1)] = TF + TO;
	       Cr[WS(csr, 4)] = TO - TF;
	  }
	  {
	       E T11, T12, T10, TY, TZ;
	       T11 = TS - TT;
	       T12 = TW - TV;
	       Ci[WS(csi, 3)] = FMA(KP587785252, T11, KP951056516 * T12);
	       Ci[WS(csi, 6)] = FNMS(KP951056516, T11, KP587785252 * T12);
	       T10 = KP559016994 * (TU - TX);
	       TY = TU + TX;
	       TZ = FNMS(KP250000000, TY, TR);
	       Cr[WS(csr, 3)] = TZ - T10;
	       Cr[0] = TR + TY;
	       Cr[WS(csr, 6)] = T10 + TZ;
	       {
		    E Tl, TB, TA, TC;
		    {
			 E Tj, Tk, Ts, Tz;
			 Tj = FMA(KP866025403, Ti, KP216506350 * Tf);
			 Tk = KP484122918 * (Te + T7);
			 Tl = Tj + Tk;
			 TB = Tk - Tj;
			 Ts = To - Tr;
			 Tz = Tv - Ty;
			 TA = FMA(KP951056516, Ts, KP587785252 * Tz);
			 TC = FNMS(KP587785252, Ts, KP951056516 * Tz);
		    }
		    Ci[WS(csi, 1)] = Tl - TA;
		    Ci[WS(csi, 7)] = TC - TB;
		    Ci[WS(csi, 4)] = Tl + TA;
		    Ci[WS(csi, 2)] = TB + TC;
	       }
	  }
     }
}

static const kr2c_desc desc = { 15, "r2cf_15", {50, 11, 14, 0}, &GENUS };

void X(codelet_r2cf_15) (planner *p) {
     X(kr2c_register) (p, r2cf_15, &desc);
}

#endif				/* HAVE_FMA */