t2_16.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 20:38:40 EST 2008 */

#include "codelet-dft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_twiddle -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -name t2_16 -include t.h */

/*
 * This function contains 196 FP additions, 134 FP multiplications,
 * (or, 104 additions, 42 multiplications, 92 fused multiply/add),
 * 100 stack variables, 3 constants, and 64 memory accesses
 */
#include "t.h"

static void t2_16(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP923879532, +0.923879532511286756128183189396788286822416626);
     DK(KP414213562, +0.414213562373095048801688724209698078569671875);
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     INT m;
     for (m = mb, W = W + (mb * 8); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 8, MAKE_VOLATILE_STRIDE(rs)) {
	  E T3S, T3R;
	  {
	       E T2, Tf, TM, TO, T3, Tg, TN, TS, T4, Tp, T6, T5, Th;
	       T2 = W[0];
	       Tf = W[2];
	       TM = W[6];
	       TO = W[7];
	       T3 = W[4];
	       Tg = T2 * Tf;
	       TN = T2 * TM;
	       TS = T2 * TO;
	       T4 = T2 * T3;
	       Tp = Tf * T3;
	       T6 = W[5];
	       T5 = W[1];
	       Th = W[3];
	       {
		    E TZ, Te, T1U, T3A, T3L, T2D, T1G, T2A, T3h, T1R, T2B, T2I, T3i, Tx, T3M;
		    E T1Z, T3w, TL, T26, T25, T37, T1d, T2o, T2l, T3c, T1s, T2m, T2t, T3d, TX;
		    E T10, TV, T2a, TY, T2b;
		    {
			 E TF, TP, TT, Tq, TW, Tz, Tu, TI, TC, T1m, T1f, T1p, T1j, Tr, Ts;
			 E Tv, To, T1W;
			 {
			      E Ti, Tm, T1L, T1O, T1D, T1A, T1x, T2y, T1F, T2x;
			      {
				   E T1, T7, Tb, T3z, T8, T1z, T9, Tc;
				   {
					E T1i, T1e, T1C, T1y, Tt, Ta, Tl;
					T1 = ri[0];
					Tt = Tf * T6;
					Ta = T2 * T6;
					T7 = FMA(T5, T6, T4);
					TF = FNMS(T5, T6, T4);
					TP = FMA(T5, TO, TN);
					TT = FNMS(T5, TM, TS);
					Tq = FNMS(Th, T6, Tp);
					TW = FMA(Th, T6, Tp);
					Tz = FMA(T5, Th, Tg);
					Ti = FNMS(T5, Th, Tg);
					Tl = T2 * Th;
					Tu = FMA(Th, T3, Tt);
					TZ = FNMS(Th, T3, Tt);
					TI = FMA(T5, T3, Ta);
					Tb = FNMS(T5, T3, Ta);
					T1i = Ti * T6;
					T1e = Ti * T3;
					T1C = Tz * T6;
					T1y = Tz * T3;
					Tm = FMA(T5, Tf, Tl);
					TC = FNMS(T5, Tf, Tl);
					T3z = ii[0];
					T8 = ri[WS(rs, 8)];
					T1m = FNMS(Tm, T6, T1e);
					T1f = FMA(Tm, T6, T1e);
					T1p = FMA(Tm, T3, T1i);
					T1j = FNMS(Tm, T3, T1i);
					T1L = FNMS(TC, T6, T1y);
					T1z = FMA(TC, T6, T1y);
					T1O = FMA(TC, T3, T1C);
					T1D = FNMS(TC, T3, T1C);
					T9 = T7 * T8;
					Tc = ii[WS(rs, 8)];
				   }
				   {
					E T1u, T1w, T1v, T2w, T3y, T1B, T1E, Td, T3x;
					T1u = ri[WS(rs, 15)];
					T1w = ii[WS(rs, 15)];
					T1A = ri[WS(rs, 7)];
					Td = FMA(Tb, Tc, T9);
					T3x = T7 * Tc;
					T1v = TM * T1u;
					T2w = TM * T1w;
					Te = T1 + Td;
					T1U = T1 - Td;
					T3y = FNMS(Tb, T8, T3x);
					T1B = T1z * T1A;
					T1E = ii[WS(rs, 7)];
					T1x = FMA(TO, T1w, T1v);
					T3A = T3y + T3z;
					T3L = T3z - T3y;
					T2y = T1z * T1E;
					T1F = FMA(T1D, T1E, T1B);
					T2x = FNMS(TO, T1u, T2w);
				   }
			      }
			      {
				   E T1H, T1I, T1J, T1M, T1P, T2z;
				   T1H = ri[WS(rs, 3)];
				   T2z = FNMS(T1D, T1A, T2y);
				   T2D = T1x - T1F;
				   T1G = T1x + T1F;
				   T1I = Tf * T1H;
				   T2A = T2x - T2z;
				   T3h = T2x + T2z;
				   T1J = ii[WS(rs, 3)];
				   T1M = ri[WS(rs, 11)];
				   T1P = ii[WS(rs, 11)];
				   {
					E Tj, Tk, Tn, T1V;
					{
					     E T1K, T2F, T1Q, T2H, T2E, T1N, T2G;
					     Tj = ri[WS(rs, 4)];
					     T1K = FMA(Th, T1J, T1I);
					     T2E = Tf * T1J;
					     T1N = T1L * T1M;
					     T2G = T1L * T1P;
					     Tk = Ti * Tj;
					     T2F = FNMS(Th, T1H, T2E);
					     T1Q = FMA(T1O, T1P, T1N);
					     T2H = FNMS(T1O, T1M, T2G);
					     Tn = ii[WS(rs, 4)];
					     Tr = ri[WS(rs, 12)];
					     T1R = T1K + T1Q;
					     T2B = T1K - T1Q;
					     T2I = T2F - T2H;
					     T3i = T2F + T2H;
					     T1V = Ti * Tn;
					     Ts = Tq * Tr;
					     Tv = ii[WS(rs, 12)];
					}
					To = FMA(Tm, Tn, Tk);
					T1W = FNMS(Tm, Tj, T1V);
				   }
			      }
			 }
			 {
			      E T19, T1b, T18, T2i, T1a, T2j;
			      {
				   E TE, T22, TK, T24;
				   {
					E TA, TD, TB, T21, TG, TJ, TH, T23, T1Y, Tw, T1X;
					TA = ri[WS(rs, 2)];
					Tw = FMA(Tu, Tv, Ts);
					T1X = Tq * Tv;
					TD = ii[WS(rs, 2)];
					TB = Tz * TA;
					Tx = To + Tw;
					T3M = To - Tw;
					T1Y = FNMS(Tu, Tr, T1X);
					T21 = Tz * TD;
					TG = ri[WS(rs, 10)];
					TJ = ii[WS(rs, 10)];
					T1Z = T1W - T1Y;
					T3w = T1W + T1Y;
					TH = TF * TG;
					T23 = TF * TJ;
					TE = FMA(TC, TD, TB);
					T22 = FNMS(TC, TA, T21);
					TK = FMA(TI, TJ, TH);
					T24 = FNMS(TI, TG, T23);
				   }
				   {
					E T15, T17, T16, T2h;
					T15 = ri[WS(rs, 1)];
					T17 = ii[WS(rs, 1)];
					TL = TE + TK;
					T26 = TE - TK;
					T25 = T22 - T24;
					T37 = T22 + T24;
					T16 = T2 * T15;
					T2h = T2 * T17;
					T19 = ri[WS(rs, 9)];
					T1b = ii[WS(rs, 9)];
					T18 = FMA(T5, T17, T16);
					T2i = FNMS(T5, T15, T2h);
					T1a = T3 * T19;
					T2j = T3 * T1b;
				   }
			      }
			      {
				   E T1n, T1q, T1l, T2q, T1o, T2r;
				   {
					E T1g, T1k, T1h, T2p, T1c, T2k;
					T1g = ri[WS(rs, 5)];
					T1k = ii[WS(rs, 5)];
					T1c = FMA(T6, T1b, T1a);
					T2k = FNMS(T6, T19, T2j);
					T1h = T1f * T1g;
					T2p = T1f * T1k;
					T1d = T18 + T1c;
					T2o = T18 - T1c;
					T2l = T2i - T2k;
					T3c = T2i + T2k;
					T1n = ri[WS(rs, 13)];
					T1q = ii[WS(rs, 13)];
					T1l = FMA(T1j, T1k, T1h);
					T2q = FNMS(T1j, T1g, T2p);
					T1o = T1m * T1n;
					T2r = T1m * T1q;
				   }
				   {
					E TQ, TU, TR, T29, T1r, T2s;
					TQ = ri[WS(rs, 14)];
					TU = ii[WS(rs, 14)];
					T1r = FMA(T1p, T1q, T1o);
					T2s = FNMS(T1p, T1n, T2r);
					TR = TP * TQ;
					T29 = TP * TU;
					T1s = T1l + T1r;
					T2m = T1l - T1r;
					T2t = T2q - T2s;
					T3d = T2q + T2s;
					TX = ri[WS(rs, 6)];
					T10 = ii[WS(rs, 6)];
					TV = FMA(TT, TU, TR);
					T2a = FNMS(TT, TQ, T29);
					TY = TW * TX;
					T2b = TW * T10;
				   }
			      }
			 }
		    }
		    {
			 E T36, T3G, T3b, T3g, T28, T2d, T3F, T39, T3e, T3q, T3C, T3j, T3u, T3t;
			 {
			      E T3D, T1T, T3r, T14, T3E, T3s;
			      {
				   E Ty, T3B, T11, T2c, T13, T3v;
				   T36 = Te - Tx;
				   Ty = Te + Tx;
				   T3B = T3w + T3A;
				   T3G = T3A - T3w;
				   T11 = FMA(TZ, T10, TY);
				   T2c = FNMS(TZ, TX, T2b);
				   {
					E T1t, T1S, T12, T38;
					T3b = T1d - T1s;
					T1t = T1d + T1s;
					T1S = T1G + T1R;
					T3g = T1G - T1R;
					T12 = TV + T11;
					T28 = TV - T11;
					T2d = T2a - T2c;
					T38 = T2a + T2c;
					T3D = T1S - T1t;
					T1T = T1t + T1S;
					T13 = TL + T12;
					T3F = T12 - TL;
					T39 = T37 - T38;
					T3v = T37 + T38;
				   }
				   T3e = T3c - T3d;
				   T3r = T3c + T3d;
				   T3q = Ty - T13;
				   T14 = Ty + T13;
				   T3E = T3B - T3v;
				   T3C = T3v + T3B;
				   T3s = T3h + T3i;
				   T3j = T3h - T3i;
			      }
			      ri[WS(rs, 8)] = T14 - T1T;
			      ri[0] = T14 + T1T;
			      ii[WS(rs, 12)] = T3E - T3D;
			      T3u = T3r + T3s;
			      T3t = T3r - T3s;
			      ii[WS(rs, 4)] = T3D + T3E;
			 }
			 {
			      E T3m, T3a, T3J, T3H;
			      ii[0] = T3u + T3C;
			      ii[WS(rs, 8)] = T3C - T3u;
			      ri[WS(rs, 4)] = T3q + T3t;
			      ri[WS(rs, 12)] = T3q - T3t;
			      T3m = T36 - T39;
			      T3a = T36 + T39;
			      T3J = T3G - T3F;
			      T3H = T3F + T3G;
			      {
				   E T2Q, T20, T3N, T3T, T2J, T2C, T3O, T2f, T34, T30, T2W, T2V, T3U, T2T, T2N;
				   E T2v;
				   {
					E T2R, T27, T2e, T2S;
					{
					     E T3n, T3f, T3o, T3k;
					     T2Q = T1U + T1Z;
					     T20 = T1U - T1Z;
					     T3n = T3e - T3b;
					     T3f = T3b + T3e;
					     T3o = T3g + T3j;
					     T3k = T3g - T3j;
					     T3N = T3L - T3M;
					     T3T = T3M + T3L;
					     {
						  E T3p, T3I, T3K, T3l;
						  T3p = T3n - T3o;
						  T3I = T3n + T3o;
						  T3K = T3k - T3f;
						  T3l = T3f + T3k;
						  ri[WS(rs, 6)] = FMA(KP707106781, T3p, T3m);
						  ri[WS(rs, 14)] = FNMS(KP707106781, T3p, T3m);
						  ii[WS(rs, 10)] = FNMS(KP707106781, T3I, T3H);
						  ii[WS(rs, 2)] = FMA(KP707106781, T3I, T3H);
						  ii[WS(rs, 14)] = FNMS(KP707106781, T3K, T3J);
						  ii[WS(rs, 6)] = FMA(KP707106781, T3K, T3J);
						  ri[WS(rs, 2)] = FMA(KP707106781, T3l, T3a);
						  ri[WS(rs, 10)] = FNMS(KP707106781, T3l, T3a);
						  T2R = T26 + T25;
						  T27 = T25 - T26;
						  T2e = T28 + T2d;
						  T2S = T28 - T2d;
					     }
					}
					{
					     E T2Y, T2Z, T2n, T2u;
					     T2J = T2D - T2I;
					     T2Y = T2D + T2I;
					     T2Z = T2A - T2B;
					     T2C = T2A + T2B;
					     T3O = T27 + T2e;
					     T2f = T27 - T2e;
					     T34 = FMA(KP414213562, T2Y, T2Z);
					     T30 = FNMS(KP414213562, T2Z, T2Y);
					     T2W = T2l - T2m;
					     T2n = T2l + T2m;
					     T2u = T2o - T2t;
					     T2V = T2o + T2t;
					     T3U = T2S - T2R;
					     T2T = T2R + T2S;
					     T2N = FNMS(KP414213562, T2n, T2u);
					     T2v = FMA(KP414213562, T2u, T2n);
					}
				   }
				   {
					E T33, T2X, T3X, T3Y;
					{
					     E T2M, T2g, T2O, T2K, T3V, T3W, T2P, T2L;
					     T2M = FNMS(KP707106781, T2f, T20);
					     T2g = FMA(KP707106781, T2f, T20);
					     T33 = FNMS(KP414213562, T2V, T2W);
					     T2X = FMA(KP414213562, T2W, T2V);
					     T2O = FMA(KP414213562, T2C, T2J);
					     T2K = FNMS(KP414213562, T2J, T2C);
					     T3V = FMA(KP707106781, T3U, T3T);
					     T3X = FNMS(KP707106781, T3U, T3T);
					     T3W = T2O - T2N;
					     T2P = T2N + T2O;
					     T3Y = T2v + T2K;
					     T2L = T2v - T2K;
					     ii[WS(rs, 11)] = FNMS(KP923879532, T3W, T3V);
					     ii[WS(rs, 3)] = FMA(KP923879532, T3W, T3V);
					     ri[WS(rs, 3)] = FMA(KP923879532, T2L, T2g);
					     ri[WS(rs, 11)] = FNMS(KP923879532, T2L, T2g);
					     ri[WS(rs, 15)] = FMA(KP923879532, T2P, T2M);
					     ri[WS(rs, 7)] = FNMS(KP923879532, T2P, T2M);
					}
					{
					     E T32, T3P, T3Q, T35, T2U, T31;
					     T32 = FNMS(KP707106781, T2T, T2Q);
					     T2U = FMA(KP707106781, T2T, T2Q);
					     T31 = T2X + T30;
					     T3S = T30 - T2X;
					     T3R = FNMS(KP707106781, T3O, T3N);
					     T3P = FMA(KP707106781, T3O, T3N);
					     ii[WS(rs, 15)] = FMA(KP923879532, T3Y, T3X);
					     ii[WS(rs, 7)] = FNMS(KP923879532, T3Y, T3X);
					     ri[WS(rs, 1)] = FMA(KP923879532, T31, T2U);
					     ri[WS(rs, 9)] = FNMS(KP923879532, T31, T2U);
					     T3Q = T33 + T34;
					     T35 = T33 - T34;
					     ii[WS(rs, 9)] = FNMS(KP923879532, T3Q, T3P);
					     ii[WS(rs, 1)] = FMA(KP923879532, T3Q, T3P);
					     ri[WS(rs, 5)] = FMA(KP923879532, T35, T32);
					     ri[WS(rs, 13)] = FNMS(KP923879532, T35, T32);
					}
				   }
			      }
			 }
		    }