annotate fft/fftw/fftw-3.3.4/rdft/scalar/r2cb/hb2_8.c @ 40:223f770b5341 kissfft-double tip

Try a double-precision kissfft

/*
 * Copyright (c) 2003, 2007-14 Matteo Frigo
 * Copyright (c) 2003, 2007-14 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 Tue Mar  4 13:50:28 EST 2014 */

#include "codelet-rdft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_hc2hc.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -twiddle-log3 -precompute-twiddles -n 8 -dif -name hb2_8 -include hb.h */

/*
 * This function contains 74 FP additions, 50 FP multiplications,
 * (or, 44 additions, 20 multiplications, 30 fused multiply/add),
 * 77 stack variables, 1 constants, and 32 memory accesses
 */
#include "hb.h"

static void hb2_8(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     {
	  INT m;
	  for (m = mb, W = W + ((mb - 1) * 6); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 6, MAKE_VOLATILE_STRIDE(16, rs)) {
	       E Tf, Tg, Tl, Tp, Ti, Tj, T1o, T1u, Tk, T1b, To, T1e, TK, Tq, T13;
	       E TP, T1p, T7, T1h, T1v, TZ, Tv, Tw, Ta, Tx, T1j, TE, TB, Td, Ty;
	       E Th, T1n, T1t;
	       Tf = W[0];
	       Tg = W[2];
	       Tl = W[4];
	       Tp = W[5];
	       Ti = W[1];
	       Th = Tf * Tg;
	       T1n = Tf * Tl;
	       T1t = Tf * Tp;
	       Tj = W[3];
	       {
		    E Tr, T3, Ts, T1f, TO, TL, T6, Tt;
		    {
			 E TM, TN, T4, T5;
			 {
			      E T1, Tn, T2, TJ, Tm;
			      T1 = cr[0];
			      T1o = FMA(Ti, Tp, T1n);
			      T1u = FNMS(Ti, Tl, T1t);
			      Tk = FMA(Ti, Tj, Th);
			      T1b = FNMS(Ti, Tj, Th);
			      Tn = Tf * Tj;
			      T2 = ci[WS(rs, 3)];
			      TM = ci[WS(rs, 7)];
			      TJ = Tk * Tp;
			      Tm = Tk * Tl;
			      To = FNMS(Ti, Tg, Tn);
			      T1e = FMA(Ti, Tg, Tn);
			      Tr = T1 - T2;
			      T3 = T1 + T2;
			      TK = FNMS(To, Tl, TJ);
			      Tq = FMA(To, Tp, Tm);
			      TN = cr[WS(rs, 4)];
			 }
			 T4 = cr[WS(rs, 2)];
			 T5 = ci[WS(rs, 1)];
			 Ts = ci[WS(rs, 5)];
			 T1f = TM - TN;
			 TO = TM + TN;
			 TL = T4 - T5;
			 T6 = T4 + T5;
			 Tt = cr[WS(rs, 6)];
		    }
		    {
			 E TC, TD, Tb, Tc;
			 {
			      E T8, T1g, Tu, T9;
			      T8 = cr[WS(rs, 1)];
			      T13 = TO - TL;
			      TP = TL + TO;
			      T1p = T3 - T6;
			      T7 = T3 + T6;
			      T1g = Ts - Tt;
			      Tu = Ts + Tt;
			      T9 = ci[WS(rs, 2)];
			      TC = ci[WS(rs, 4)];
			      T1h = T1f + T1g;
			      T1v = T1f - T1g;
			      TZ = Tr + Tu;
			      Tv = Tr - Tu;
			      Tw = T8 - T9;
			      Ta = T8 + T9;
			      TD = cr[WS(rs, 7)];
			 }
			 Tb = ci[0];
			 Tc = cr[WS(rs, 3)];
			 Tx = ci[WS(rs, 6)];
			 T1j = TC - TD;
			 TE = TC + TD;
			 TB = Tb - Tc;
			 Td = Tb + Tc;
			 Ty = cr[WS(rs, 5)];
		    }
	       }
	       {
		    E TR, TF, Te, T1w;
		    TR = TB + TE;
		    TF = TB - TE;
		    Te = Ta + Td;
		    T1w = Ta - Td;
		    {
			 E Tz, T1i, T1B, T1x, T1c;
			 Tz = Tx + Ty;
			 T1i = Tx - Ty;
			 T1B = T1w + T1v;
			 T1x = T1v - T1w;
			 T1c = T7 - Te;
			 cr[0] = T7 + Te;
			 {
			      E T1k, T1q, TQ, TA;
			      T1k = T1i + T1j;
			      T1q = T1j - T1i;
			      TQ = Tw + Tz;
			      TA = Tw - Tz;
			      {
				   E T1y, T1C, T1m, T1d;
				   T1y = T1o * T1x;
				   T1C = Tk * T1B;
				   T1m = T1e * T1c;
				   T1d = T1b * T1c;
				   {
					E T1z, T1r, T1l, TG, T14;
					T1z = T1p + T1q;
					T1r = T1p - T1q;
					T1l = T1h - T1k;
					ci[0] = T1h + T1k;
					TG = TA + TF;
					T14 = TA - TF;
					{
					     E T10, TS, T1s, T1A;
					     T10 = TQ + TR;
					     TS = TQ - TR;
					     ci[WS(rs, 6)] = FMA(T1u, T1r, T1y);
					     T1s = T1o * T1r;
					     ci[WS(rs, 2)] = FMA(To, T1z, T1C);
					     T1A = Tk * T1z;
					     ci[WS(rs, 4)] = FMA(T1b, T1l, T1m);
					     cr[WS(rs, 4)] = FNMS(T1e, T1l, T1d);
					     {
						  E T15, T19, TV, TH;
						  T15 = FMA(KP707106781, T14, T13);
						  T19 = FNMS(KP707106781, T14, T13);
						  TV = FMA(KP707106781, TG, Tv);
						  TH = FNMS(KP707106781, TG, Tv);
						  {
						       E TT, TX, T11, T17;
						       TT = FNMS(KP707106781, TS, TP);
						       TX = FMA(KP707106781, TS, TP);
						       T11 = FNMS(KP707106781, T10, TZ);
						       T17 = FMA(KP707106781, T10, TZ);
						       cr[WS(rs, 6)] = FNMS(T1u, T1x, T1s);
						       cr[WS(rs, 2)] = FNMS(To, T1B, T1A);
						       {
							    E T1a, T16, TU, TI;
							    T1a = Tl * T19;
							    T16 = Tg * T15;
							    TU = TK * TH;
							    TI = Tq * TH;
							    {
								 E TY, TW, T18, T12;
								 TY = Ti * TV;
								 TW = Tf * TV;
								 T18 = Tl * T17;
								 T12 = Tg * T11;
								 ci[WS(rs, 7)] = FMA(Tp, T17, T1a);
								 ci[WS(rs, 3)] = FMA(Tj, T11, T16);
								 ci[WS(rs, 5)] = FMA(Tq, TT, TU);
								 cr[WS(rs, 5)] = FNMS(TK, TT, TI);
								 ci[WS(rs, 1)] = FMA(Tf, TX, TY);
								 cr[WS(rs, 1)] = FNMS(Ti, TX, TW);
								 cr[WS(rs, 7)] = FNMS(Tp, T19, T18);
								 cr[WS(rs, 3)] = FNMS(Tj, T15, T12);
							    }
						       }
						  }
					     }
					}
				   }
			      }
			 }
		    }
	       }
	  }
     }
}

static const tw_instr twinstr[] = {
     {TW_CEXP, 1, 1},
     {TW_CEXP, 1, 3},
     {TW_CEXP, 1, 7},
     {TW_NEXT, 1, 0}
};

static const hc2hc_desc desc = { 8, "hb2_8", twinstr, &GENUS, {44, 20, 30, 0} };

void X(codelet_hb2_8) (planner *p) {
     X(khc2hc_register) (p, hb2_8, &desc);
}
#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_hc2hc.native -compact -variables 4 -pipeline-latency 4 -sign 1 -twiddle-log3 -precompute-twiddles -n 8 -dif -name hb2_8 -include hb.h */

/*
 * This function contains 74 FP additions, 44 FP multiplications,
 * (or, 56 additions, 26 multiplications, 18 fused multiply/add),
 * 46 stack variables, 1 constants, and 32 memory accesses
 */
#include "hb.h"

static void hb2_8(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     {
	  INT m;
	  for (m = mb, W = W + ((mb - 1) * 6); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 6, MAKE_VOLATILE_STRIDE(16, rs)) {
	       E Tf, Ti, Tg, Tj, Tl, Tp, TP, TR, TF, TG, TH, T15, TL, TT;
	       {
		    E Th, To, Tk, Tn;
		    Tf = W[0];
		    Ti = W[1];
		    Tg = W[2];
		    Tj = W[3];
		    Th = Tf * Tg;
		    To = Ti * Tg;
		    Tk = Ti * Tj;
		    Tn = Tf * Tj;
		    Tl = Th - Tk;
		    Tp = Tn + To;
		    TP = Th + Tk;
		    TR = Tn - To;
		    TF = W[4];
		    TG = W[5];
		    TH = FMA(Tf, TF, Ti * TG);
		    T15 = FNMS(TR, TF, TP * TG);
		    TL = FNMS(Ti, TF, Tf * TG);
		    TT = FMA(TP, TF, TR * TG);
	       }
	       {
		    E T7, T1f, T1i, Tw, TI, TW, T18, TM, Te, T19, T1a, TD, TJ, TZ, T12;
		    E TN, Tm, TE;
		    {
			 E T3, TU, Tv, TV, T6, T16, Ts, T17;
			 {
			      E T1, T2, Tt, Tu;
			      T1 = cr[0];
			      T2 = ci[WS(rs, 3)];
			      T3 = T1 + T2;
			      TU = T1 - T2;
			      Tt = ci[WS(rs, 5)];
			      Tu = cr[WS(rs, 6)];
			      Tv = Tt - Tu;
			      TV = Tt + Tu;
			 }
			 {
			      E T4, T5, Tq, Tr;
			      T4 = cr[WS(rs, 2)];
			      T5 = ci[WS(rs, 1)];
			      T6 = T4 + T5;
			      T16 = T4 - T5;
			      Tq = ci[WS(rs, 7)];
			      Tr = cr[WS(rs, 4)];
			      Ts = Tq - Tr;
			      T17 = Tq + Tr;
			 }
			 T7 = T3 + T6;
			 T1f = TU + TV;
			 T1i = T17 - T16;
			 Tw = Ts + Tv;
			 TI = T3 - T6;
			 TW = TU - TV;
			 T18 = T16 + T17;
			 TM = Ts - Tv;
		    }
		    {
			 E Ta, TX, TC, T11, Td, T10, Tz, TY;
			 {
			      E T8, T9, TA, TB;
			      T8 = cr[WS(rs, 1)];
			      T9 = ci[WS(rs, 2)];
			      Ta = T8 + T9;
			      TX = T8 - T9;
			      TA = ci[WS(rs, 4)];
			      TB = cr[WS(rs, 7)];
			      TC = TA - TB;
			      T11 = TA + TB;
			 }
			 {
			      E Tb, Tc, Tx, Ty;
			      Tb = ci[0];
			      Tc = cr[WS(rs, 3)];
			      Td = Tb + Tc;
			      T10 = Tb - Tc;
			      Tx = ci[WS(rs, 6)];
			      Ty = cr[WS(rs, 5)];
			      Tz = Tx - Ty;
			      TY = Tx + Ty;
			 }
			 Te = Ta + Td;
			 T19 = TX + TY;
			 T1a = T10 + T11;
			 TD = Tz + TC;
			 TJ = TC - Tz;
			 TZ = TX - TY;
			 T12 = T10 - T11;
			 TN = Ta - Td;
		    }
		    cr[0] = T7 + Te;
		    ci[0] = Tw + TD;
		    Tm = T7 - Te;
		    TE = Tw - TD;
		    cr[WS(rs, 4)] = FNMS(Tp, TE, Tl * Tm);
		    ci[WS(rs, 4)] = FMA(Tp, Tm, Tl * TE);
		    {
			 E TQ, TS, TK, TO;
			 TQ = TI + TJ;
			 TS = TN + TM;
			 cr[WS(rs, 2)] = FNMS(TR, TS, TP * TQ);
			 ci[WS(rs, 2)] = FMA(TP, TS, TR * TQ);
			 TK = TI - TJ;
			 TO = TM - TN;
			 cr[WS(rs, 6)] = FNMS(TL, TO, TH * TK);
			 ci[WS(rs, 6)] = FMA(TH, TO, TL * TK);
		    }
		    {
			 E T1h, T1l, T1k, T1m, T1g, T1j;
			 T1g = KP707106781 * (T19 + T1a);
			 T1h = T1f - T1g;
			 T1l = T1f + T1g;
			 T1j = KP707106781 * (TZ - T12);
			 T1k = T1i + T1j;
			 T1m = T1i - T1j;
			 cr[WS(rs, 3)] = FNMS(Tj, T1k, Tg * T1h);
			 ci[WS(rs, 3)] = FMA(Tg, T1k, Tj * T1h);
			 cr[WS(rs, 7)] = FNMS(TG, T1m, TF * T1l);
			 ci[WS(rs, 7)] = FMA(TF, T1m, TG * T1l);
		    }
		    {
			 E T14, T1d, T1c, T1e, T13, T1b;
			 T13 = KP707106781 * (TZ + T12);
			 T14 = TW - T13;
			 T1d = TW + T13;
			 T1b = KP707106781 * (T19 - T1a);
			 T1c = T18 - T1b;
			 T1e = T18 + T1b;
			 cr[WS(rs, 5)] = FNMS(T15, T1c, TT * T14);
			 ci[WS(rs, 5)] = FMA(T15, T14, TT * T1c);
			 cr[WS(rs, 1)] = FNMS(Ti, T1e, Tf * T1d);
			 ci[WS(rs, 1)] = FMA(Ti, T1d, Tf * T1e);
		    }
	       }
	  }
     }
}

static const tw_instr twinstr[] = {
     {TW_CEXP, 1, 1},
     {TW_CEXP, 1, 3},
     {TW_CEXP, 1, 7},
     {TW_NEXT, 1, 0}
};

static const hc2hc_desc desc = { 8, "hb2_8", twinstr, &GENUS, {56, 26, 18, 0} };

void X(codelet_hb2_8) (planner *p) {
     X(khc2hc_register) (p, hb2_8, &desc);
}
#endif				/* HAVE_FMA */