r2cfii_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 20:59:29 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 r2cfII_15 -dft-II -include r2cfII.h */

/*
 * This function contains 72 FP additions, 41 FP multiplications,
 * (or, 38 additions, 7 multiplications, 34 fused multiply/add),
 * 57 stack variables, 12 constants, and 30 memory accesses
 */
#include "r2cfII.h"

static void r2cfII_15(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP823639103, +0.823639103546331925877420039278190003029660514);
     DK(KP910592997, +0.910592997310029334643087372129977886038870291);
     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
     DK(KP690983005, +0.690983005625052575897706582817180941139845410);
     DK(KP552786404, +0.552786404500042060718165266253744752911876328);
     DK(KP447213595, +0.447213595499957939281834733746255247088123672);
     DK(KP809016994, +0.809016994374947424102293417182819058860154590);
     DK(KP618033988, +0.618033988749894848204586834365638117720309180);
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     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 T9, TQ, TV, TW, Tw, TJ;
	  {
	       E Ta, Tl, Tg, T8, T7, TF, TX, TT, Tm, Th, TM, TZ, Tr, Tn, Tj;
	       E Tz, To, TN, TH, Tp, TO;
	       Ta = R0[WS(rs, 5)];
	       Tl = R1[WS(rs, 2)];
	       {
		    E T1, T2, T5, T3, T4;
		    T1 = R0[0];
		    T2 = R0[WS(rs, 3)];
		    T5 = R1[WS(rs, 4)];
		    T3 = R0[WS(rs, 6)];
		    T4 = R1[WS(rs, 1)];
		    {
			 E Tb, TL, Te, TK, TR, Tf, Ti, Ty;
			 Tb = R1[0];
			 TR = T2 + T5;
			 Tg = R0[WS(rs, 2)];
			 {
			      E T6, TS, Tc, Td;
			      T6 = T2 + T3 - T4 - T5;
			      T8 = (T3 + T5 - T2) - T4;
			      TS = T3 + T4;
			      Tc = R1[WS(rs, 3)];
			      Td = R1[WS(rs, 6)];
			      T7 = FNMS(KP250000000, T6, T1);
			      TF = T1 + T6;
			      TX = FNMS(KP618033988, TR, TS);
			      TT = FMA(KP618033988, TS, TR);
			      TL = Tc - Td;
			      Te = Tc + Td;
			 }
			 TK = Tg + Tb;
			 Tm = R0[WS(rs, 7)];
			 Tf = Tb - Te;
			 Th = Tb + Te;
			 TM = FMA(KP618033988, TL, TK);
			 TZ = FNMS(KP618033988, TK, TL);
			 Ti = FMA(KP809016994, Th, Tg);
			 Ty = FMA(KP447213595, Th, Tf);
			 Tr = R1[WS(rs, 5)];
			 Tn = R0[WS(rs, 1)];
			 Tj = FNMS(KP552786404, Ti, Tf);
			 Tz = FNMS(KP690983005, Ty, Tg);
			 To = R0[WS(rs, 4)];
			 TN = Tr + Tm;
		    }
	       }
	       TH = Ta + Tg - Th;
	       Tp = Tn + To;
	       TO = To - Tn;
	       {
		    E Tx, TA, TP, T14, T11, Tu, TD;
		    {
			 E T10, TI, TC, TY;
			 T9 = FNMS(KP559016994, T8, T7);
			 Tx = FMA(KP559016994, T8, T7);
			 TA = FNMS(KP809016994, Tz, Ta);
			 TP = FMA(KP618033988, TO, TN);
			 TY = FNMS(KP618033988, TN, TO);
			 {
			      E Tq, Ts, TG, Tt, TB;
			      Tq = Tm - Tp;
			      Ts = Tm + Tp;
			      T14 = TZ - TY;
			      T10 = TY + TZ;
			      TG = Ts - Tr - Tl;
			      Tt = FMA(KP809016994, Ts, Tr);
			      TB = FMA(KP447213595, Ts, Tq);
			      T11 = FMA(KP500000000, T10, TX);
			      Ci[WS(csi, 2)] = KP866025403 * (TH - TG);
			      TI = TG + TH;
			      Tu = FNMS(KP552786404, Tt, Tq);
			      TC = FNMS(KP690983005, TB, Tr);
			 }
			 Ci[WS(csi, 1)] = KP951056516 * (T10 - TX);
			 Cr[WS(csr, 7)] = TF + TI;
			 Cr[WS(csr, 2)] = FNMS(KP500000000, TI, TF);
			 TD = FNMS(KP809016994, TC, Tl);
		    }
		    {
			 E TU, Tk, T13, Tv, T12, TE;
			 TQ = TM - TP;
			 TU = TP + TM;
			 T12 = TD + TA;
			 TE = TA - TD;
			 Tk = FNMS(KP559016994, Tj, Ta);
			 TV = FMA(KP500000000, TU, TT);
			 Ci[WS(csi, 6)] = -(KP951056516 * (FMA(KP910592997, T12, T11)));
			 Ci[WS(csi, 3)] = KP951056516 * (FNMS(KP910592997, T12, T11));
			 T13 = FNMS(KP500000000, TE, Tx);
			 Cr[WS(csr, 1)] = Tx + TE;
			 Tv = FNMS(KP559016994, Tu, Tl);
			 Ci[WS(csi, 4)] = KP951056516 * (TT - TU);
			 Cr[WS(csr, 6)] = FMA(KP823639103, T14, T13);
			 Cr[WS(csr, 3)] = FNMS(KP823639103, T14, T13);
			 TW = Tv + Tk;
			 Tw = Tk - Tv;
		    }
	       }
	  }
	  Ci[WS(csi, 5)] = -(KP951056516 * (FNMS(KP910592997, TW, TV)));
	  Ci[0] = -(KP951056516 * (FMA(KP910592997, TW, TV)));
	  TJ = FNMS(KP500000000, Tw, T9);
	  Cr[WS(csr, 4)] = T9 + Tw;
	  Cr[0] = FMA(KP823639103, TQ, TJ);
	  Cr[WS(csr, 5)] = FNMS(KP823639103, TQ, TJ);
     }
}

static const kr2c_desc desc = { 15, "r2cfII_15", {38, 7, 34, 0}, &GENUS };

void X(codelet_r2cfII_15) (planner *p) {
     X(kr2c_register) (p, r2cfII_15, &desc);
}

#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_r2cf -compact -variables 4 -pipeline-latency 4 -n 15 -name r2cfII_15 -dft-II -include r2cfII.h */

/*
 * This function contains 72 FP additions, 33 FP multiplications,
 * (or, 54 additions, 15 multiplications, 18 fused multiply/add),
 * 37 stack variables, 8 constants, and 30 memory accesses
 */
#include "r2cfII.h"

static void r2cfII_15(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP809016994, +0.809016994374947424102293417182819058860154590);
     DK(KP309016994, +0.309016994374947424102293417182819058860154590);
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
     DK(KP587785252, +0.587785252292473129168705954639072768597652438);
     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
     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 T1, T2, Tx, TR, TE, T7, TD, Th, Tm, Tr, TQ, TA, TB, Tf, Te;
	  E Tu, TS, Td, TH, TO;
	  T1 = R0[WS(rs, 5)];
	  {
	       E T3, Tv, T6, Tw, T4, T5;
	       T2 = R0[WS(rs, 2)];
	       T3 = R1[0];
	       Tv = T2 + T3;
	       T4 = R1[WS(rs, 3)];
	       T5 = R1[WS(rs, 6)];
	       T6 = T4 + T5;
	       Tw = T4 - T5;
	       Tx = FMA(KP951056516, Tv, KP587785252 * Tw);
	       TR = FNMS(KP587785252, Tv, KP951056516 * Tw);
	       TE = KP559016994 * (T3 - T6);
	       T7 = T3 + T6;
	       TD = KP250000000 * T7;
	  }
	  {
	       E Ti, Tl, Tj, Tk, Tp, Tq;
	       Th = R0[0];
	       Ti = R1[WS(rs, 4)];
	       Tl = R0[WS(rs, 6)];
	       Tj = R1[WS(rs, 1)];
	       Tk = R0[WS(rs, 3)];
	       Tp = Tk + Ti;
	       Tq = Tl + Tj;
	       Tm = Ti + Tj - (Tk + Tl);
	       Tr = FMA(KP951056516, Tp, KP587785252 * Tq);
	       TQ = FNMS(KP951056516, Tq, KP587785252 * Tp);
	       TA = FMA(KP250000000, Tm, Th);
	       TB = KP559016994 * (Tl + Ti - (Tk + Tj));
	  }
	  {
	       E T9, Tt, Tc, Ts, Ta, Tb, TG;
	       Tf = R1[WS(rs, 2)];
	       T9 = R0[WS(rs, 7)];
	       Te = R1[WS(rs, 5)];
	       Tt = T9 + Te;
	       Ta = R0[WS(rs, 1)];
	       Tb = R0[WS(rs, 4)];
	       Tc = Ta + Tb;
	       Ts = Ta - Tb;
	       Tu = FNMS(KP951056516, Tt, KP587785252 * Ts);
	       TS = FMA(KP951056516, Ts, KP587785252 * Tt);
	       Td = T9 + Tc;
	       TG = KP559016994 * (T9 - Tc);
	       TH = FNMS(KP309016994, Te, TG) + FNMA(KP250000000, Td, Tf);
	       TO = FMS(KP809016994, Te, Tf) + FNMA(KP250000000, Td, TG);
	  }
	  {
	       E Tn, T8, Tg, To;
	       Tn = Th - Tm;
	       T8 = T1 + T2 - T7;
	       Tg = Td - Te - Tf;
	       To = T8 + Tg;
	       Ci[WS(csi, 2)] = KP866025403 * (T8 - Tg);
	       Cr[WS(csr, 2)] = FNMS(KP500000000, To, Tn);
	       Cr[WS(csr, 7)] = Tn + To;
	  }
	  {
	       E TM, TX, TT, TV, TP, TU, TN, TW;
	       TM = TB + TA;
	       TX = KP866025403 * (TR + TS);
	       TT = TR - TS;
	       TV = FMS(KP500000000, TT, TQ);
	       TN = T1 + TE + FNMS(KP809016994, T2, TD);
	       TP = TN + TO;
	       TU = KP866025403 * (TO - TN);
	       Cr[WS(csr, 1)] = TM + TP;
	       Ci[WS(csi, 1)] = TQ + TT;
	       Ci[WS(csi, 6)] = TU - TV;
	       Ci[WS(csi, 3)] = TU + TV;
	       TW = FNMS(KP500000000, TP, TM);
	       Cr[WS(csr, 3)] = TW - TX;
	       Cr[WS(csr, 6)] = TW + TX;
	  }
	  {
	       E Tz, TC, Ty, TK, TI, TL, TF, TJ;
	       Tz = KP866025403 * (Tx + Tu);
	       TC = TA - TB;
	       Ty = Tu - Tx;
	       TK = FMS(KP500000000, Ty, Tr);
	       TF = FMA(KP309016994, T2, T1) + TD - TE;
	       TI = TF + TH;
	       TL = KP866025403 * (TH - TF);
	       Ci[WS(csi, 4)] = Tr + Ty;
	       Cr[WS(csr, 4)] = TC + TI;
	       Ci[WS(csi, 5)] = TK - TL;
	       Ci[0] = TK + TL;
	       TJ = FNMS(KP500000000, TI, TC);
	       Cr[0] = Tz + TJ;
	       Cr[WS(csr, 5)] = TJ - Tz;
	  }
     }
}

static const kr2c_desc desc = { 15, "r2cfII_15", {54, 15, 18, 0}, &GENUS };

void X(codelet_r2cfII_15) (planner *p) {
     X(kr2c_register) (p, r2cfII_15, &desc);
}

#endif				/* HAVE_FMA */