r2cb_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 21:05:45 EST 2008 */

#include "codelet-rdft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_r2cb -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -n 15 -name r2cb_15 -include r2cb.h */

/*
 * This function contains 64 FP additions, 43 FP multiplications,
 * (or, 21 additions, 0 multiplications, 43 fused multiply/add),
 * 54 stack variables, 9 constants, and 30 memory accesses
 */
#include "r2cb.h"

static void r2cb_15(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
     DK(KP1_902113032, +1.902113032590307144232878666758764286811397268);
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP1_118033988, +1.118033988749894848204586834365638117720309180);
     DK(KP618033988, +0.618033988749894848204586834365638117720309180);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     DK(KP1_732050807, +1.732050807568877293527446341505872366942805254);
     DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
     INT i;
     for (i = v; i > 0; i = i - 1, R0 = R0 + ovs, R1 = R1 + ovs, Cr = Cr + ivs, Ci = Ci + ivs, MAKE_VOLATILE_STRIDE(rs), MAKE_VOLATILE_STRIDE(csr), MAKE_VOLATILE_STRIDE(csi)) {
	  E TL, Tz, TM, TK;
	  {
	       E T3, Th, Tt, TD, TI, TH, TY, TC, TZ, Tu, Tm, Tv, Tr, Te, TW;
	       E Tg, T1, T2, T12, T10, TV;
	       Tg = Ci[WS(csi, 5)];
	       T1 = Cr[0];
	       T2 = Cr[WS(csr, 5)];
	       {
		    E T4, TA, T9, TF, T7, Tj, Tc, Tk, TG, Tq, Tf, Tl, TB;
		    T4 = Cr[WS(csr, 3)];
		    TA = Ci[WS(csi, 3)];
		    T9 = Cr[WS(csr, 6)];
		    Tf = T1 - T2;
		    T3 = FMA(KP2_000000000, T2, T1);
		    TF = Ci[WS(csi, 6)];
		    {
			 E Ta, Tb, T5, T6, To, Tp;
			 T5 = Cr[WS(csr, 7)];
			 T6 = Cr[WS(csr, 2)];
			 Th = FMA(KP1_732050807, Tg, Tf);
			 Tt = FNMS(KP1_732050807, Tg, Tf);
			 Ta = Cr[WS(csr, 4)];
			 TD = T5 - T6;
			 T7 = T5 + T6;
			 Tb = Cr[WS(csr, 1)];
			 To = Ci[WS(csi, 4)];
			 Tp = Ci[WS(csi, 1)];
			 Tj = Ci[WS(csi, 7)];
			 Tc = Ta + Tb;
			 TI = Ta - Tb;
			 Tk = Ci[WS(csi, 2)];
			 TG = Tp - To;
			 Tq = To + Tp;
		    }
		    Tl = Tj - Tk;
		    TB = Tj + Tk;
		    TH = FNMS(KP500000000, TG, TF);
		    TY = TG + TF;
		    TC = FMA(KP500000000, TB, TA);
		    TZ = TA - TB;
		    {
			 E Ti, T8, Td, Tn;
			 Ti = FNMS(KP2_000000000, T4, T7);
			 T8 = T4 + T7;
			 Td = T9 + Tc;
			 Tn = FNMS(KP2_000000000, T9, Tc);
			 Tu = FNMS(KP1_732050807, Tl, Ti);
			 Tm = FMA(KP1_732050807, Tl, Ti);
			 Tv = FNMS(KP1_732050807, Tq, Tn);
			 Tr = FMA(KP1_732050807, Tq, Tn);
			 Te = T8 + Td;
			 TW = T8 - Td;
		    }
	       }
	       T12 = FMA(KP618033988, TY, TZ);
	       T10 = FNMS(KP618033988, TZ, TY);
	       TV = FNMS(KP500000000, Te, T3);
	       R0[0] = FMA(KP2_000000000, Te, T3);
	       {
		    E TJ, TE, TT, TP, TU, TS, Ty, Tw, Tx;
		    {
			 E TO, Ts, TQ, TN, TR, T11, TX;
			 TO = Tr - Tm;
			 Ts = Tm + Tr;
			 T11 = FMA(KP1_118033988, TW, TV);
			 TX = FNMS(KP1_118033988, TW, TV);
			 TQ = FNMS(KP866025403, TI, TH);
			 TJ = FMA(KP866025403, TI, TH);
			 TN = FMA(KP250000000, Ts, Th);
			 R0[WS(rs, 3)] = FNMS(KP1_902113032, T12, T11);
			 R1[WS(rs, 4)] = FMA(KP1_902113032, T12, T11);
			 R0[WS(rs, 6)] = FMA(KP1_902113032, T10, TX);
			 R1[WS(rs, 1)] = FNMS(KP1_902113032, T10, TX);
			 TR = FNMS(KP866025403, TD, TC);
			 TE = FMA(KP866025403, TD, TC);
			 R1[WS(rs, 2)] = Th - Ts;
			 TT = FMA(KP559016994, TO, TN);
			 TP = FNMS(KP559016994, TO, TN);
			 TU = FMA(KP618033988, TQ, TR);
			 TS = FNMS(KP618033988, TR, TQ);
		    }
		    Ty = Tv - Tu;
		    Tw = Tu + Tv;
		    R0[WS(rs, 7)] = FMA(KP1_902113032, TU, TT);
		    R1[WS(rs, 5)] = FNMS(KP1_902113032, TU, TT);
		    R0[WS(rs, 1)] = FMA(KP1_902113032, TS, TP);
		    R0[WS(rs, 4)] = FNMS(KP1_902113032, TS, TP);
		    Tx = FMA(KP250000000, Tw, Tt);
		    R0[WS(rs, 5)] = Tt - Tw;
		    TL = FNMS(KP559016994, Ty, Tx);
		    Tz = FMA(KP559016994, Ty, Tx);
		    TM = FNMS(KP618033988, TE, TJ);
		    TK = FMA(KP618033988, TJ, TE);
	       }
	  }
	  R1[WS(rs, 3)] = FMA(KP1_902113032, TM, TL);
	  R1[WS(rs, 6)] = FNMS(KP1_902113032, TM, TL);
	  R0[WS(rs, 2)] = FMA(KP1_902113032, TK, Tz);
	  R1[0] = FNMS(KP1_902113032, TK, Tz);
     }
}

static const kr2c_desc desc = { 15, "r2cb_15", {21, 0, 43, 0}, &GENUS };

void X(codelet_r2cb_15) (planner *p) {
     X(kr2c_register) (p, r2cb_15, &desc);
}

#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_r2cb -compact -variables 4 -pipeline-latency 4 -sign 1 -n 15 -name r2cb_15 -include r2cb.h */

/*
 * This function contains 64 FP additions, 31 FP multiplications,
 * (or, 47 additions, 14 multiplications, 17 fused multiply/add),
 * 44 stack variables, 7 constants, and 30 memory accesses
 */
#include "r2cb.h"

static void r2cb_15(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP1_118033988, +1.118033988749894848204586834365638117720309180);
     DK(KP1_902113032, +1.902113032590307144232878666758764286811397268);
     DK(KP1_175570504, +1.175570504584946258337411909278145537195304875);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
     DK(KP1_732050807, +1.732050807568877293527446341505872366942805254);
     INT i;
     for (i = v; i > 0; i = i - 1, R0 = R0 + ovs, R1 = R1 + ovs, Cr = Cr + ivs, Ci = Ci + ivs, MAKE_VOLATILE_STRIDE(rs), MAKE_VOLATILE_STRIDE(csr), MAKE_VOLATILE_STRIDE(csi)) {
	  E T3, Tu, Ti, TB, TZ, T10, TE, TG, TJ, Tn, Tv, Ts, Tw, T8, Td;
	  E Te;
	  {
	       E Th, T1, T2, Tf, Tg;
	       Tg = Ci[WS(csi, 5)];
	       Th = KP1_732050807 * Tg;
	       T1 = Cr[0];
	       T2 = Cr[WS(csr, 5)];
	       Tf = T1 - T2;
	       T3 = FMA(KP2_000000000, T2, T1);
	       Tu = Tf - Th;
	       Ti = Tf + Th;
	  }
	  {
	       E T4, TD, T9, TI, T5, T6, T7, Ta, Tb, Tc, Tr, TH, Tm, TC, Tj;
	       E To;
	       T4 = Cr[WS(csr, 3)];
	       TD = Ci[WS(csi, 3)];
	       T9 = Cr[WS(csr, 6)];
	       TI = Ci[WS(csi, 6)];
	       T5 = Cr[WS(csr, 7)];
	       T6 = Cr[WS(csr, 2)];
	       T7 = T5 + T6;
	       Ta = Cr[WS(csr, 4)];
	       Tb = Cr[WS(csr, 1)];
	       Tc = Ta + Tb;
	       {
		    E Tp, Tq, Tk, Tl;
		    Tp = Ci[WS(csi, 4)];
		    Tq = Ci[WS(csi, 1)];
		    Tr = KP866025403 * (Tp + Tq);
		    TH = Tp - Tq;
		    Tk = Ci[WS(csi, 7)];
		    Tl = Ci[WS(csi, 2)];
		    Tm = KP866025403 * (Tk - Tl);
		    TC = Tk + Tl;
	       }
	       TB = KP866025403 * (T5 - T6);
	       TZ = TD - TC;
	       T10 = TI - TH;
	       TE = FMA(KP500000000, TC, TD);
	       TG = KP866025403 * (Ta - Tb);
	       TJ = FMA(KP500000000, TH, TI);
	       Tj = FNMS(KP500000000, T7, T4);
	       Tn = Tj - Tm;
	       Tv = Tj + Tm;
	       To = FNMS(KP500000000, Tc, T9);
	       Ts = To - Tr;
	       Tw = To + Tr;
	       T8 = T4 + T7;
	       Td = T9 + Tc;
	       Te = T8 + Td;
	  }
	  R0[0] = FMA(KP2_000000000, Te, T3);
	  {
	       E T11, T13, TY, T12, TW, TX;
	       T11 = FNMS(KP1_902113032, T10, KP1_175570504 * TZ);
	       T13 = FMA(KP1_902113032, TZ, KP1_175570504 * T10);
	       TW = FNMS(KP500000000, Te, T3);
	       TX = KP1_118033988 * (T8 - Td);
	       TY = TW - TX;
	       T12 = TX + TW;
	       R0[WS(rs, 6)] = TY - T11;
	       R1[WS(rs, 4)] = T12 + T13;
	       R1[WS(rs, 1)] = TY + T11;
	       R0[WS(rs, 3)] = T12 - T13;
	  }
	  {
	       E TP, Tt, TO, TT, TV, TR, TS, TU, TQ;
	       TP = KP1_118033988 * (Tn - Ts);
	       Tt = Tn + Ts;
	       TO = FNMS(KP500000000, Tt, Ti);
	       TR = TE - TB;
	       TS = TJ - TG;
	       TT = FNMS(KP1_902113032, TS, KP1_175570504 * TR);
	       TV = FMA(KP1_902113032, TR, KP1_175570504 * TS);
	       R1[WS(rs, 2)] = FMA(KP2_000000000, Tt, Ti);
	       TU = TP + TO;
	       R1[WS(rs, 5)] = TU - TV;
	       R0[WS(rs, 7)] = TU + TV;
	       TQ = TO - TP;
	       R0[WS(rs, 1)] = TQ - TT;
	       R0[WS(rs, 4)] = TQ + TT;
	  }
	  {
	       E Tz, Tx, Ty, TL, TN, TF, TK, TM, TA;
	       Tz = KP1_118033988 * (Tv - Tw);
	       Tx = Tv + Tw;
	       Ty = FNMS(KP500000000, Tx, Tu);
	       TF = TB + TE;
	       TK = TG + TJ;
	       TL = FNMS(KP1_902113032, TK, KP1_175570504 * TF);
	       TN = FMA(KP1_902113032, TF, KP1_175570504 * TK);
	       R0[WS(rs, 5)] = FMA(KP2_000000000, Tx, Tu);
	       TM = Tz + Ty;
	       R1[0] = TM - TN;
	       R0[WS(rs, 2)] = TM + TN;
	       TA = Ty - Tz;
	       R1[WS(rs, 3)] = TA - TL;
	       R1[WS(rs, 6)] = TA + TL;
	  }
     }
}

static const kr2c_desc desc = { 15, "r2cb_15", {47, 14, 17, 0}, &GENUS };

void X(codelet_r2cb_15) (planner *p) {
     X(kr2c_register) (p, r2cb_15, &desc);
}

#endif				/* HAVE_FMA */