annotate src/fftw-3.3.3/dft/scalar/codelets/n1_7.c @ 95:89f5e221ed7b

Add FFTW3

/*
 * Copyright (c) 2003, 2007-11 Matteo Frigo
 * Copyright (c) 2003, 2007-11 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., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 *
 */

/* This file was automatically generated --- DO NOT EDIT */
/* Generated on Sun Nov 25 07:35:42 EST 2012 */

#include "codelet-dft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_notw.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 7 -name n1_7 -include n.h */

/*
 * This function contains 60 FP additions, 42 FP multiplications,
 * (or, 18 additions, 0 multiplications, 42 fused multiply/add),
 * 51 stack variables, 6 constants, and 28 memory accesses
 */
#include "n.h"

static void n1_7(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DK(KP974927912, +0.974927912181823607018131682993931217232785801);
     DK(KP900968867, +0.900968867902419126236102319507445051165919162);
     DK(KP801937735, +0.801937735804838252472204639014890102331838324);
     DK(KP692021471, +0.692021471630095869627814897002069140197260599);
     DK(KP356895867, +0.356895867892209443894399510021300583399127187);
     DK(KP554958132, +0.554958132087371191422194871006410481067288862);
     {
	  INT i;
	  for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(28, is), MAKE_VOLATILE_STRIDE(28, os)) {
	       E Tz, TP, Ty, TK, TN, TE, Tw, TF;
	       {
		    E T1, TI, T4, TG, Ta, TT, Tp, TH, T7, Tk, TJ, TO, Tu, Tb, TB;
		    E Tg, Tl, Th, Ti;
		    T1 = ri[0];
		    Tz = ii[0];
		    {
			 E T5, T6, Te, Tf;
			 {
			      E T2, T3, T8, T9;
			      T2 = ri[WS(is, 1)];
			      T3 = ri[WS(is, 6)];
			      T8 = ri[WS(is, 3)];
			      T9 = ri[WS(is, 4)];
			      T5 = ri[WS(is, 2)];
			      TI = T3 - T2;
			      T4 = T2 + T3;
			      TG = T9 - T8;
			      Ta = T8 + T9;
			      T6 = ri[WS(is, 5)];
			 }
			 Te = ii[WS(is, 2)];
			 TT = FMA(KP554958132, TG, TI);
			 Tp = FNMS(KP356895867, T4, Ta);
			 TH = T6 - T5;
			 T7 = T5 + T6;
			 Tf = ii[WS(is, 5)];
			 Tk = ii[WS(is, 3)];
			 TJ = FNMS(KP554958132, TI, TH);
			 TO = FMA(KP554958132, TH, TG);
			 Tu = FNMS(KP356895867, Ta, T7);
			 Tb = FNMS(KP356895867, T7, T4);
			 TB = Te + Tf;
			 Tg = Te - Tf;
			 Tl = ii[WS(is, 4)];
			 Th = ii[WS(is, 1)];
			 Ti = ii[WS(is, 6)];
		    }
		    {
			 E Tm, TA, Tj, TD, Ts, TL, Tx, TU, To, TR, Td, TM, Tv;
			 {
			      E TC, TQ, Tn, Tc;
			      ro[0] = T1 + T4 + T7 + Ta;
			      TC = Tk + Tl;
			      Tm = Tk - Tl;
			      TA = Th + Ti;
			      Tj = Th - Ti;
			      TD = FNMS(KP356895867, TC, TB);
			      Ts = FMA(KP554958132, Tg, Tm);
			      TL = FNMS(KP356895867, TA, TC);
			      TQ = FNMS(KP356895867, TB, TA);
			      Tx = FNMS(KP554958132, Tj, Tg);
			      Tn = FMA(KP554958132, Tm, Tj);
			      io[0] = Tz + TA + TB + TC;
			      Tc = FNMS(KP692021471, Tb, Ta);
			      TU = FMA(KP801937735, TT, TH);
			      To = FMA(KP801937735, Tn, Tg);
			      TR = FNMS(KP692021471, TQ, TC);
			      Td = FNMS(KP900968867, Tc, T1);
			 }
			 {
			      E Tt, Tr, TS, Tq;
			      Tt = FNMS(KP801937735, Ts, Tj);
			      Tq = FNMS(KP692021471, Tp, T7);
			      TS = FNMS(KP900968867, TR, Tz);
			      ro[WS(os, 1)] = FMA(KP974927912, To, Td);
			      ro[WS(os, 6)] = FNMS(KP974927912, To, Td);
			      Tr = FNMS(KP900968867, Tq, T1);
			      io[WS(os, 6)] = FNMS(KP974927912, TU, TS);
			      io[WS(os, 1)] = FMA(KP974927912, TU, TS);
			      TP = FNMS(KP801937735, TO, TI);
			      ro[WS(os, 2)] = FMA(KP974927912, Tt, Tr);
			      ro[WS(os, 5)] = FNMS(KP974927912, Tt, Tr);
			      TM = FNMS(KP692021471, TL, TB);
			 }
			 Ty = FNMS(KP801937735, Tx, Tm);
			 Tv = FNMS(KP692021471, Tu, T4);
			 TK = FNMS(KP801937735, TJ, TG);
			 TN = FNMS(KP900968867, TM, Tz);
			 TE = FNMS(KP692021471, TD, TA);
			 Tw = FNMS(KP900968867, Tv, T1);
		    }
	       }
	       io[WS(os, 5)] = FNMS(KP974927912, TP, TN);
	       io[WS(os, 2)] = FMA(KP974927912, TP, TN);
	       TF = FNMS(KP900968867, TE, Tz);
	       ro[WS(os, 3)] = FMA(KP974927912, Ty, Tw);
	       ro[WS(os, 4)] = FNMS(KP974927912, Ty, Tw);
	       io[WS(os, 4)] = FNMS(KP974927912, TK, TF);
	       io[WS(os, 3)] = FMA(KP974927912, TK, TF);
	  }
     }
}

static const kdft_desc desc = { 7, "n1_7", {18, 0, 42, 0}, &GENUS, 0, 0, 0, 0 };

void X(codelet_n1_7) (planner *p) {
     X(kdft_register) (p, n1_7, &desc);
}

#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_notw.native -compact -variables 4 -pipeline-latency 4 -n 7 -name n1_7 -include n.h */

/*
 * This function contains 60 FP additions, 36 FP multiplications,
 * (or, 36 additions, 12 multiplications, 24 fused multiply/add),
 * 25 stack variables, 6 constants, and 28 memory accesses
 */
#include "n.h"

static void n1_7(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DK(KP222520933, +0.222520933956314404288902564496794759466355569);
     DK(KP900968867, +0.900968867902419126236102319507445051165919162);
     DK(KP623489801, +0.623489801858733530525004884004239810632274731);
     DK(KP433883739, +0.433883739117558120475768332848358754609990728);
     DK(KP781831482, +0.781831482468029808708444526674057750232334519);
     DK(KP974927912, +0.974927912181823607018131682993931217232785801);
     {
	  INT i;
	  for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(28, is), MAKE_VOLATILE_STRIDE(28, os)) {
	       E T1, Tu, T4, Tq, Te, Tx, T7, Ts, Tk, Tv, Ta, Tr, Th, Tw;
	       T1 = ri[0];
	       Tu = ii[0];
	       {
		    E T2, T3, Tc, Td;
		    T2 = ri[WS(is, 1)];
		    T3 = ri[WS(is, 6)];
		    T4 = T2 + T3;
		    Tq = T3 - T2;
		    Tc = ii[WS(is, 1)];
		    Td = ii[WS(is, 6)];
		    Te = Tc - Td;
		    Tx = Tc + Td;
	       }
	       {
		    E T5, T6, Ti, Tj;
		    T5 = ri[WS(is, 2)];
		    T6 = ri[WS(is, 5)];
		    T7 = T5 + T6;
		    Ts = T6 - T5;
		    Ti = ii[WS(is, 2)];
		    Tj = ii[WS(is, 5)];
		    Tk = Ti - Tj;
		    Tv = Ti + Tj;
	       }
	       {
		    E T8, T9, Tf, Tg;
		    T8 = ri[WS(is, 3)];
		    T9 = ri[WS(is, 4)];
		    Ta = T8 + T9;
		    Tr = T9 - T8;
		    Tf = ii[WS(is, 3)];
		    Tg = ii[WS(is, 4)];
		    Th = Tf - Tg;
		    Tw = Tf + Tg;
	       }
	       ro[0] = T1 + T4 + T7 + Ta;
	       io[0] = Tu + Tx + Tv + Tw;
	       {
		    E Tl, Tb, TB, TC;
		    Tl = FNMS(KP781831482, Th, KP974927912 * Te) - (KP433883739 * Tk);
		    Tb = FMA(KP623489801, Ta, T1) + FNMA(KP900968867, T7, KP222520933 * T4);
		    ro[WS(os, 5)] = Tb - Tl;
		    ro[WS(os, 2)] = Tb + Tl;
		    TB = FNMS(KP781831482, Tr, KP974927912 * Tq) - (KP433883739 * Ts);
		    TC = FMA(KP623489801, Tw, Tu) + FNMA(KP900968867, Tv, KP222520933 * Tx);
		    io[WS(os, 2)] = TB + TC;
		    io[WS(os, 5)] = TC - TB;
	       }
	       {
		    E Tn, Tm, Tz, TA;
		    Tn = FMA(KP781831482, Te, KP974927912 * Tk) + (KP433883739 * Th);
		    Tm = FMA(KP623489801, T4, T1) + FNMA(KP900968867, Ta, KP222520933 * T7);
		    ro[WS(os, 6)] = Tm - Tn;
		    ro[WS(os, 1)] = Tm + Tn;
		    Tz = FMA(KP781831482, Tq, KP974927912 * Ts) + (KP433883739 * Tr);
		    TA = FMA(KP623489801, Tx, Tu) + FNMA(KP900968867, Tw, KP222520933 * Tv);
		    io[WS(os, 1)] = Tz + TA;
		    io[WS(os, 6)] = TA - Tz;
	       }
	       {
		    E Tp, To, Tt, Ty;
		    Tp = FMA(KP433883739, Te, KP974927912 * Th) - (KP781831482 * Tk);
		    To = FMA(KP623489801, T7, T1) + FNMA(KP222520933, Ta, KP900968867 * T4);
		    ro[WS(os, 4)] = To - Tp;
		    ro[WS(os, 3)] = To + Tp;
		    Tt = FMA(KP433883739, Tq, KP974927912 * Tr) - (KP781831482 * Ts);
		    Ty = FMA(KP623489801, Tv, Tu) + FNMA(KP222520933, Tw, KP900968867 * Tx);
		    io[WS(os, 3)] = Tt + Ty;
		    io[WS(os, 4)] = Ty - Tt;
	       }
	  }
     }
}

static const kdft_desc desc = { 7, "n1_7", {36, 12, 24, 0}, &GENUS, 0, 0, 0, 0 };

void X(codelet_n1_7) (planner *p) {
     X(kdft_register) (p, n1_7, &desc);
}

#endif				/* HAVE_FMA */