annotate src/fftw-3.3.3/dft/scalar/codelets/t1_8.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 07:35:49 EST 2012 */

#include "codelet-dft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_twiddle.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 8 -name t1_8 -include t.h */

/*
 * This function contains 66 FP additions, 36 FP multiplications,
 * (or, 44 additions, 14 multiplications, 22 fused multiply/add),
 * 61 stack variables, 1 constants, and 32 memory accesses
 */
#include "t.h"

static void t1_8(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     {
	  INT m;
	  for (m = mb, W = W + (mb * 14); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 14, MAKE_VOLATILE_STRIDE(16, rs)) {
	       E T1g, T1f, T1e, Tm, T1q, T1o, T1p, TN, T1h, T1i;
	       {
		    E T1, T1m, T1l, T7, TS, Tk, TQ, Te, To, Tr, T17, TM, T12, Tu, TW;
		    E Tp, Tx, Tt, Tq, Tw;
		    {
			 E T3, T6, T2, T5;
			 T1 = ri[0];
			 T1m = ii[0];
			 T3 = ri[WS(rs, 4)];
			 T6 = ii[WS(rs, 4)];
			 T2 = W[6];
			 T5 = W[7];
			 {
			      E Ta, Td, T9, Tc;
			      {
				   E Tg, Tj, Ti, TR, Th, T1k, T4, Tf;
				   Tg = ri[WS(rs, 6)];
				   Tj = ii[WS(rs, 6)];
				   T1k = T2 * T6;
				   T4 = T2 * T3;
				   Tf = W[10];
				   Ti = W[11];
				   T1l = FNMS(T5, T3, T1k);
				   T7 = FMA(T5, T6, T4);
				   TR = Tf * Tj;
				   Th = Tf * Tg;
				   Ta = ri[WS(rs, 2)];
				   Td = ii[WS(rs, 2)];
				   TS = FNMS(Ti, Tg, TR);
				   Tk = FMA(Ti, Tj, Th);
				   T9 = W[2];
				   Tc = W[3];
			      }
			      {
				   E TB, TE, TH, T13, TC, TK, TG, TD, TJ, TP, Tb, TA, Tn;
				   TB = ri[WS(rs, 7)];
				   TE = ii[WS(rs, 7)];
				   TP = T9 * Td;
				   Tb = T9 * Ta;
				   TA = W[12];
				   TH = ri[WS(rs, 3)];
				   TQ = FNMS(Tc, Ta, TP);
				   Te = FMA(Tc, Td, Tb);
				   T13 = TA * TE;
				   TC = TA * TB;
				   TK = ii[WS(rs, 3)];
				   TG = W[4];
				   TD = W[13];
				   TJ = W[5];
				   {
					E T14, TF, T16, TL, T15, TI;
					To = ri[WS(rs, 1)];
					T15 = TG * TK;
					TI = TG * TH;
					T14 = FNMS(TD, TB, T13);
					TF = FMA(TD, TE, TC);
					T16 = FNMS(TJ, TH, T15);
					TL = FMA(TJ, TK, TI);
					Tr = ii[WS(rs, 1)];
					Tn = W[0];
					T17 = T14 - T16;
					T1g = T14 + T16;
					TM = TF + TL;
					T12 = TF - TL;
				   }
				   Tu = ri[WS(rs, 5)];
				   TW = Tn * Tr;
				   Tp = Tn * To;
				   Tx = ii[WS(rs, 5)];
				   Tt = W[8];
				   Tq = W[1];
				   Tw = W[9];
			      }
			 }
		    }
		    {
			 E T8, T1j, T1n, Tz, T1a, TU, Tl, T1b, T1c, T1v, T1t, T1w, T19, T1u, T1d;
			 {
			      E T1r, T10, TV, T1s, T11, T18;
			      {
				   E TO, TX, Ts, TZ, Ty, TT, TY, Tv;
				   T8 = T1 + T7;
				   TO = T1 - T7;
				   TY = Tt * Tx;
				   Tv = Tt * Tu;
				   TX = FNMS(Tq, To, TW);
				   Ts = FMA(Tq, Tr, Tp);
				   TZ = FNMS(Tw, Tu, TY);
				   Ty = FMA(Tw, Tx, Tv);
				   TT = TQ - TS;
				   T1j = TQ + TS;
				   T1n = T1l + T1m;
				   T1r = T1m - T1l;
				   T10 = TX - TZ;
				   T1f = TX + TZ;
				   Tz = Ts + Ty;
				   TV = Ts - Ty;
				   T1a = TO - TT;
				   TU = TO + TT;
				   T1s = Te - Tk;
				   Tl = Te + Tk;
			      }
			      T1b = T10 - TV;
			      T11 = TV + T10;
			      T18 = T12 - T17;
			      T1c = T12 + T17;
			      T1v = T1s + T1r;
			      T1t = T1r - T1s;
			      T1w = T18 - T11;
			      T19 = T11 + T18;
			 }
			 ii[WS(rs, 3)] = FMA(KP707106781, T1w, T1v);
			 ii[WS(rs, 7)] = FNMS(KP707106781, T1w, T1v);
			 ri[WS(rs, 1)] = FMA(KP707106781, T19, TU);
			 ri[WS(rs, 5)] = FNMS(KP707106781, T19, TU);
			 T1u = T1b + T1c;
			 T1d = T1b - T1c;
			 ii[WS(rs, 1)] = FMA(KP707106781, T1u, T1t);
			 ii[WS(rs, 5)] = FNMS(KP707106781, T1u, T1t);
			 ri[WS(rs, 3)] = FMA(KP707106781, T1d, T1a);
			 ri[WS(rs, 7)] = FNMS(KP707106781, T1d, T1a);
			 T1e = T8 - Tl;
			 Tm = T8 + Tl;
			 T1q = T1n - T1j;
			 T1o = T1j + T1n;
			 T1p = TM - Tz;
			 TN = Tz + TM;
		    }
	       }
	       ii[WS(rs, 2)] = T1p + T1q;
	       ii[WS(rs, 6)] = T1q - T1p;
	       ri[0] = Tm + TN;
	       ri[WS(rs, 4)] = Tm - TN;
	       T1h = T1f - T1g;
	       T1i = T1f + T1g;
	       ii[0] = T1i + T1o;
	       ii[WS(rs, 4)] = T1o - T1i;
	       ri[WS(rs, 2)] = T1e + T1h;
	       ri[WS(rs, 6)] = T1e - T1h;
	  }
     }
}

static const tw_instr twinstr[] = {
     {TW_FULL, 0, 8},
     {TW_NEXT, 1, 0}
};

static const ct_desc desc = { 8, "t1_8", twinstr, &GENUS, {44, 14, 22, 0}, 0, 0, 0 };

void X(codelet_t1_8) (planner *p) {
     X(kdft_dit_register) (p, t1_8, &desc);
}
#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -n 8 -name t1_8 -include t.h */

/*
 * This function contains 66 FP additions, 32 FP multiplications,
 * (or, 52 additions, 18 multiplications, 14 fused multiply/add),
 * 28 stack variables, 1 constants, and 32 memory accesses
 */
#include "t.h"

static void t1_8(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     {
	  INT m;
	  for (m = mb, W = W + (mb * 14); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 14, MAKE_VOLATILE_STRIDE(16, rs)) {
	       E T7, T1e, TH, T19, TF, T13, TR, TU, Ti, T1f, TK, T16, Tu, T12, TM;
	       E TP;
	       {
		    E T1, T18, T6, T17;
		    T1 = ri[0];
		    T18 = ii[0];
		    {
			 E T3, T5, T2, T4;
			 T3 = ri[WS(rs, 4)];
			 T5 = ii[WS(rs, 4)];
			 T2 = W[6];
			 T4 = W[7];
			 T6 = FMA(T2, T3, T4 * T5);
			 T17 = FNMS(T4, T3, T2 * T5);
		    }
		    T7 = T1 + T6;
		    T1e = T18 - T17;
		    TH = T1 - T6;
		    T19 = T17 + T18;
	       }
	       {
		    E Tz, TS, TE, TT;
		    {
			 E Tw, Ty, Tv, Tx;
			 Tw = ri[WS(rs, 7)];
			 Ty = ii[WS(rs, 7)];
			 Tv = W[12];
			 Tx = W[13];
			 Tz = FMA(Tv, Tw, Tx * Ty);
			 TS = FNMS(Tx, Tw, Tv * Ty);
		    }
		    {
			 E TB, TD, TA, TC;
			 TB = ri[WS(rs, 3)];
			 TD = ii[WS(rs, 3)];
			 TA = W[4];
			 TC = W[5];
			 TE = FMA(TA, TB, TC * TD);
			 TT = FNMS(TC, TB, TA * TD);
		    }
		    TF = Tz + TE;
		    T13 = TS + TT;
		    TR = Tz - TE;
		    TU = TS - TT;
	       }
	       {
		    E Tc, TI, Th, TJ;
		    {
			 E T9, Tb, T8, Ta;
			 T9 = ri[WS(rs, 2)];
			 Tb = ii[WS(rs, 2)];
			 T8 = W[2];
			 Ta = W[3];
			 Tc = FMA(T8, T9, Ta * Tb);
			 TI = FNMS(Ta, T9, T8 * Tb);
		    }
		    {
			 E Te, Tg, Td, Tf;
			 Te = ri[WS(rs, 6)];
			 Tg = ii[WS(rs, 6)];
			 Td = W[10];
			 Tf = W[11];
			 Th = FMA(Td, Te, Tf * Tg);
			 TJ = FNMS(Tf, Te, Td * Tg);
		    }
		    Ti = Tc + Th;
		    T1f = Tc - Th;
		    TK = TI - TJ;
		    T16 = TI + TJ;
	       }
	       {
		    E To, TN, Tt, TO;
		    {
			 E Tl, Tn, Tk, Tm;
			 Tl = ri[WS(rs, 1)];
			 Tn = ii[WS(rs, 1)];
			 Tk = W[0];
			 Tm = W[1];
			 To = FMA(Tk, Tl, Tm * Tn);
			 TN = FNMS(Tm, Tl, Tk * Tn);
		    }
		    {
			 E Tq, Ts, Tp, Tr;
			 Tq = ri[WS(rs, 5)];
			 Ts = ii[WS(rs, 5)];
			 Tp = W[8];
			 Tr = W[9];
			 Tt = FMA(Tp, Tq, Tr * Ts);
			 TO = FNMS(Tr, Tq, Tp * Ts);
		    }
		    Tu = To + Tt;
		    T12 = TN + TO;
		    TM = To - Tt;
		    TP = TN - TO;
	       }
	       {
		    E Tj, TG, T1b, T1c;
		    Tj = T7 + Ti;
		    TG = Tu + TF;
		    ri[WS(rs, 4)] = Tj - TG;
		    ri[0] = Tj + TG;
		    {
			 E T15, T1a, T11, T14;
			 T15 = T12 + T13;
			 T1a = T16 + T19;
			 ii[0] = T15 + T1a;
			 ii[WS(rs, 4)] = T1a - T15;
			 T11 = T7 - Ti;
			 T14 = T12 - T13;
			 ri[WS(rs, 6)] = T11 - T14;
			 ri[WS(rs, 2)] = T11 + T14;
		    }
		    T1b = TF - Tu;
		    T1c = T19 - T16;
		    ii[WS(rs, 2)] = T1b + T1c;
		    ii[WS(rs, 6)] = T1c - T1b;
		    {
			 E TX, T1g, T10, T1d, TY, TZ;
			 TX = TH - TK;
			 T1g = T1e - T1f;
			 TY = TP - TM;
			 TZ = TR + TU;
			 T10 = KP707106781 * (TY - TZ);
			 T1d = KP707106781 * (TY + TZ);
			 ri[WS(rs, 7)] = TX - T10;
			 ii[WS(rs, 5)] = T1g - T1d;
			 ri[WS(rs, 3)] = TX + T10;
			 ii[WS(rs, 1)] = T1d + T1g;
		    }
		    {
			 E TL, T1i, TW, T1h, TQ, TV;
			 TL = TH + TK;
			 T1i = T1f + T1e;
			 TQ = TM + TP;
			 TV = TR - TU;
			 TW = KP707106781 * (TQ + TV);
			 T1h = KP707106781 * (TV - TQ);
			 ri[WS(rs, 5)] = TL - TW;
			 ii[WS(rs, 7)] = T1i - T1h;
			 ri[WS(rs, 1)] = TL + TW;
			 ii[WS(rs, 3)] = T1h + T1i;
		    }
	       }
	  }
     }
}

static const tw_instr twinstr[] = {
     {TW_FULL, 0, 8},
     {TW_NEXT, 1, 0}
};

static const ct_desc desc = { 8, "t1_8", twinstr, &GENUS, {52, 18, 14, 0}, 0, 0, 0 };

void X(codelet_t1_8) (planner *p) {
     X(kdft_dit_register) (p, t1_8, &desc);
}
#endif				/* HAVE_FMA */