annotate fft/fftw/fftw-3.3.4/dft/scalar/codelets/t2_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 13:45:54 EST 2014 */

#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 -twiddle-log3 -precompute-twiddles -n 8 -name t2_8 -include t.h */

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

static void t2_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 * 6); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 6, MAKE_VOLATILE_STRIDE(16, rs)) {
	       E TS, T1m, TJ, T1l, T1k, Tw, T1w, T1u;
	       {
		    E T2, T3, Tl, Tn, T5, T4, Tm, Tr, T6;
		    T2 = W[0];
		    T3 = W[2];
		    Tl = W[4];
		    Tn = W[5];
		    T5 = W[1];
		    T4 = T2 * T3;
		    Tm = T2 * Tl;
		    Tr = T2 * Tn;
		    T6 = W[3];
		    {
			 E T1, T1s, TG, Td, T1r, Tu, TY, Tk, TW, T18, T1d, TD, TH, TA, T13;
			 E TE, T14;
			 {
			      E To, Ts, Tf, T7, T8, Ti, Tb, T9, Tc, TC, Ta, TF, TB, Tg, Th;
			      E Tj;
			      T1 = ri[0];
			      To = FMA(T5, Tn, Tm);
			      Ts = FNMS(T5, Tl, Tr);
			      Tf = FMA(T5, T6, T4);
			      T7 = FNMS(T5, T6, T4);
			      Ta = T2 * T6;
			      T1s = ii[0];
			      T8 = ri[WS(rs, 4)];
			      TF = Tf * Tn;
			      TB = Tf * Tl;
			      Ti = FNMS(T5, T3, Ta);
			      Tb = FMA(T5, T3, Ta);
			      T9 = T7 * T8;
			      Tc = ii[WS(rs, 4)];
			      TG = FNMS(Ti, Tl, TF);
			      TC = FMA(Ti, Tn, TB);
			      {
				   E Tp, T1q, Tt, Tq, TX;
				   Tp = ri[WS(rs, 6)];
				   Td = FMA(Tb, Tc, T9);
				   T1q = T7 * Tc;
				   Tt = ii[WS(rs, 6)];
				   Tq = To * Tp;
				   Tg = ri[WS(rs, 2)];
				   T1r = FNMS(Tb, T8, T1q);
				   TX = To * Tt;
				   Tu = FMA(Ts, Tt, Tq);
				   Th = Tf * Tg;
				   Tj = ii[WS(rs, 2)];
				   TY = FNMS(Ts, Tp, TX);
			      }
			      {
				   E TO, TQ, TN, TP, T1a, T1b;
				   {
					E TK, TM, TL, T19, TV;
					TK = ri[WS(rs, 7)];
					TM = ii[WS(rs, 7)];
					Tk = FMA(Ti, Tj, Th);
					TV = Tf * Tj;
					TL = Tl * TK;
					T19 = Tl * TM;
					TO = ri[WS(rs, 3)];
					TW = FNMS(Ti, Tg, TV);
					TQ = ii[WS(rs, 3)];
					TN = FMA(Tn, TM, TL);
					TP = T3 * TO;
					T1a = FNMS(Tn, TK, T19);
					T1b = T3 * TQ;
				   }
				   {
					E Tx, Tz, Ty, T12, T1c, TR;
					Tx = ri[WS(rs, 1)];
					TR = FMA(T6, TQ, TP);
					Tz = ii[WS(rs, 1)];
					T1c = FNMS(T6, TO, T1b);
					Ty = T2 * Tx;
					T18 = TN - TR;
					TS = TN + TR;
					T12 = T2 * Tz;
					T1d = T1a - T1c;
					T1m = T1a + T1c;
					TD = ri[WS(rs, 5)];
					TH = ii[WS(rs, 5)];
					TA = FMA(T5, Tz, Ty);
					T13 = FNMS(T5, Tx, T12);
					TE = TC * TD;
					T14 = TC * TH;
				   }
			      }
			 }
			 {
			      E Te, T1p, T1t, Tv;
			      {
				   E T1g, T10, T1z, T1B, T1A, T1j, T1C, T1f;
				   {
					E T1x, T11, T16, T1y;
					{
					     E TU, TZ, TI, T15;
					     Te = T1 + Td;
					     TU = T1 - Td;
					     TZ = TW - TY;
					     T1p = TW + TY;
					     TI = FMA(TG, TH, TE);
					     T15 = FNMS(TG, TD, T14);
					     T1t = T1r + T1s;
					     T1x = T1s - T1r;
					     T1g = TU - TZ;
					     T10 = TU + TZ;
					     T11 = TA - TI;
					     TJ = TA + TI;
					     T1l = T13 + T15;
					     T16 = T13 - T15;
					     T1y = Tk - Tu;
					     Tv = Tk + Tu;
					}
					{
					     E T1i, T1e, T17, T1h;
					     T1i = T18 + T1d;
					     T1e = T18 - T1d;
					     T17 = T11 + T16;
					     T1h = T16 - T11;
					     T1z = T1x - T1y;
					     T1B = T1y + T1x;
					     T1A = T1h + T1i;
					     T1j = T1h - T1i;
					     T1C = T1e - T17;
					     T1f = T17 + T1e;
					}
				   }
				   ri[WS(rs, 7)] = FNMS(KP707106781, T1j, T1g);
				   ii[WS(rs, 7)] = FNMS(KP707106781, T1C, T1B);
				   ri[WS(rs, 1)] = FMA(KP707106781, T1f, T10);
				   ri[WS(rs, 5)] = FNMS(KP707106781, T1f, T10);
				   ii[WS(rs, 1)] = FMA(KP707106781, T1A, T1z);
				   ii[WS(rs, 5)] = FNMS(KP707106781, T1A, T1z);
				   ri[WS(rs, 3)] = FMA(KP707106781, T1j, T1g);
				   ii[WS(rs, 3)] = FMA(KP707106781, T1C, T1B);
			      }
			      T1k = Te - Tv;
			      Tw = Te + Tv;
			      T1w = T1t - T1p;
			      T1u = T1p + T1t;
			 }
		    }
	       }
	       {
		    E TT, T1v, T1n, T1o;
		    TT = TJ + TS;
		    T1v = TS - TJ;
		    T1n = T1l - T1m;
		    T1o = T1l + T1m;
		    ii[WS(rs, 2)] = T1v + T1w;
		    ii[WS(rs, 6)] = T1w - T1v;
		    ri[0] = Tw + TT;
		    ri[WS(rs, 4)] = Tw - TT;
		    ii[0] = T1o + T1u;
		    ii[WS(rs, 4)] = T1u - T1o;
		    ri[WS(rs, 2)] = T1k + T1n;
		    ri[WS(rs, 6)] = T1k - T1n;
	       }
	  }
     }
}

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

static const ct_desc desc = { 8, "t2_8", twinstr, &GENUS, {44, 20, 30, 0}, 0, 0, 0 };

void X(codelet_t2_8) (planner *p) {
     X(kdft_dit_register) (p, t2_8, &desc);
}
#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 8 -name t2_8 -include t.h */

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

static void t2_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 * 6); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 6, MAKE_VOLATILE_STRIDE(16, rs)) {
	       E T2, T5, T3, T6, T8, Tc, Tg, Ti, Tl, Tm, Tn, Tz, Tp, Tx;
	       {
		    E T4, Tb, T7, Ta;
		    T2 = W[0];
		    T5 = W[1];
		    T3 = W[2];
		    T6 = W[3];
		    T4 = T2 * T3;
		    Tb = T5 * T3;
		    T7 = T5 * T6;
		    Ta = T2 * T6;
		    T8 = T4 - T7;
		    Tc = Ta + Tb;
		    Tg = T4 + T7;
		    Ti = Ta - Tb;
		    Tl = W[4];
		    Tm = W[5];
		    Tn = FMA(T2, Tl, T5 * Tm);
		    Tz = FNMS(Ti, Tl, Tg * Tm);
		    Tp = FNMS(T5, Tl, T2 * Tm);
		    Tx = FMA(Tg, Tl, Ti * Tm);
	       }
	       {
		    E Tf, T1i, TL, T1d, TJ, T17, TV, TY, Ts, T1j, TO, T1a, TC, T16, TQ;
		    E TT;
		    {
			 E T1, T1c, Te, T1b, T9, Td;
			 T1 = ri[0];
			 T1c = ii[0];
			 T9 = ri[WS(rs, 4)];
			 Td = ii[WS(rs, 4)];
			 Te = FMA(T8, T9, Tc * Td);
			 T1b = FNMS(Tc, T9, T8 * Td);
			 Tf = T1 + Te;
			 T1i = T1c - T1b;
			 TL = T1 - Te;
			 T1d = T1b + T1c;
		    }
		    {
			 E TF, TW, TI, TX;
			 {
			      E TD, TE, TG, TH;
			      TD = ri[WS(rs, 7)];
			      TE = ii[WS(rs, 7)];
			      TF = FMA(Tl, TD, Tm * TE);
			      TW = FNMS(Tm, TD, Tl * TE);
			      TG = ri[WS(rs, 3)];
			      TH = ii[WS(rs, 3)];
			      TI = FMA(T3, TG, T6 * TH);
			      TX = FNMS(T6, TG, T3 * TH);
			 }
			 TJ = TF + TI;
			 T17 = TW + TX;
			 TV = TF - TI;
			 TY = TW - TX;
		    }
		    {
			 E Tk, TM, Tr, TN;
			 {
			      E Th, Tj, To, Tq;
			      Th = ri[WS(rs, 2)];
			      Tj = ii[WS(rs, 2)];
			      Tk = FMA(Tg, Th, Ti * Tj);
			      TM = FNMS(Ti, Th, Tg * Tj);
			      To = ri[WS(rs, 6)];
			      Tq = ii[WS(rs, 6)];
			      Tr = FMA(Tn, To, Tp * Tq);
			      TN = FNMS(Tp, To, Tn * Tq);
			 }
			 Ts = Tk + Tr;
			 T1j = Tk - Tr;
			 TO = TM - TN;
			 T1a = TM + TN;
		    }
		    {
			 E Tw, TR, TB, TS;
			 {
			      E Tu, Tv, Ty, TA;
			      Tu = ri[WS(rs, 1)];
			      Tv = ii[WS(rs, 1)];
			      Tw = FMA(T2, Tu, T5 * Tv);
			      TR = FNMS(T5, Tu, T2 * Tv);
			      Ty = ri[WS(rs, 5)];
			      TA = ii[WS(rs, 5)];
			      TB = FMA(Tx, Ty, Tz * TA);
			      TS = FNMS(Tz, Ty, Tx * TA);
			 }
			 TC = Tw + TB;
			 T16 = TR + TS;
			 TQ = Tw - TB;
			 TT = TR - TS;
		    }
		    {
			 E Tt, TK, T1f, T1g;
			 Tt = Tf + Ts;
			 TK = TC + TJ;
			 ri[WS(rs, 4)] = Tt - TK;
			 ri[0] = Tt + TK;
			 {
			      E T19, T1e, T15, T18;
			      T19 = T16 + T17;
			      T1e = T1a + T1d;
			      ii[0] = T19 + T1e;
			      ii[WS(rs, 4)] = T1e - T19;
			      T15 = Tf - Ts;
			      T18 = T16 - T17;
			      ri[WS(rs, 6)] = T15 - T18;
			      ri[WS(rs, 2)] = T15 + T18;
			 }
			 T1f = TJ - TC;
			 T1g = T1d - T1a;
			 ii[WS(rs, 2)] = T1f + T1g;
			 ii[WS(rs, 6)] = T1g - T1f;
			 {
			      E T11, T1k, T14, T1h, T12, T13;
			      T11 = TL - TO;
			      T1k = T1i - T1j;
			      T12 = TT - TQ;
			      T13 = TV + TY;
			      T14 = KP707106781 * (T12 - T13);
			      T1h = KP707106781 * (T12 + T13);
			      ri[WS(rs, 7)] = T11 - T14;
			      ii[WS(rs, 5)] = T1k - T1h;
			      ri[WS(rs, 3)] = T11 + T14;
			      ii[WS(rs, 1)] = T1h + T1k;
			 }
			 {
			      E TP, T1m, T10, T1l, TU, TZ;
			      TP = TL + TO;
			      T1m = T1j + T1i;
			      TU = TQ + TT;
			      TZ = TV - TY;
			      T10 = KP707106781 * (TU + TZ);
			      T1l = KP707106781 * (TZ - TU);
			      ri[WS(rs, 5)] = TP - T10;
			      ii[WS(rs, 7)] = T1m - T1l;
			      ri[WS(rs, 1)] = TP + T10;
			      ii[WS(rs, 3)] = T1l + T1m;
			 }
		    }
	       }
	  }
     }
}

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

static const ct_desc desc = { 8, "t2_8", twinstr, &GENUS, {56, 26, 18, 0}, 0, 0, 0 };

void X(codelet_t2_8) (planner *p) {
     X(kdft_dit_register) (p, t2_8, &desc);
}
#endif				/* HAVE_FMA */