t2_32.c

最新的FFT程序

/*
 * Copyright (c) 2003, 2006 Matteo Frigo
 * Copyright (c) 2003, 2006 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 Fri Jan 27 19:31:37 EST 2006 */

#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 32 -name t2_32 -include t.h */

/*
 * This function contains 488 FP additions, 350 FP multiplications,
 * (or, 236 additions, 98 multiplications, 252 fused multiply/add),
 * 212 stack variables, and 128 memory accesses
 */
/*
 * Generator Id's : 
 * $Id: algsimp.ml,v 1.8 2006-01-05 03:04:27 stevenj Exp $
 * $Id: fft.ml,v 1.4 2006-01-05 03:04:27 stevenj Exp $
 * $Id: gen_twiddle.ml,v 1.23 2006-01-05 03:04:27 stevenj Exp $
 */

#include "t.h"

static const R *t2_32(R *ri, R *ii, const R *W, stride ios, INT m, INT dist)
{
     DK(KP980785280, +0.980785280403230449126182236134239036973933731);
     DK(KP831469612, +0.831469612302545237078788377617905756738560812);
     DK(KP668178637, +0.668178637919298919997757686523080761552472251);
     DK(KP198912367, +0.198912367379658006911597622644676228597850501);
     DK(KP923879532, +0.923879532511286756128183189396788286822416626);
     DK(KP414213562, +0.414213562373095048801688724209698078569671875);
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     INT i;
     for (i = m; i > 0; i = i - 1, ri = ri + dist, ii = ii + dist, W = W + 8, MAKE_VOLATILE_STRIDE(ios)) {
	  E T9A, T9z;
	  {
	       E T3, T8, T5, T4, T7, T2, TM, Td, T9, TJ, Tb, Tz, T14, T10, T1r;
	       E T1n, TD, Ts, T1w, T1d, T26, Tw, T1z, T23, T19, T2r, T3i, T3P, T2v, T2S;
	       E T3m, T3q, T3L, T2I, T2E, T2W, T3e, Te, TP, T29, T1R, T2b, T1U, Ti, TR;
	       E Tf, T1S, T2f, TV, TQ, Tm, T1Y, T2a, Tg;
	       {
		    E Th, T1T, T1Q, Ta, Tv, Tr;
		    T3 = W[4];
		    T8 = W[1];
		    T5 = W[0];
		    T4 = W[2];
		    T7 = W[3];
		    Tv = T3 * T8;
		    Tr = T3 * T5;
		    {
			 E T18, Tc, T6, T1c;
			 T18 = T3 * T4;
			 Tc = T4 * T8;
			 T6 = T4 * T5;
			 T1c = T3 * T7;
			 T2 = W[6];
			 TM = FMA(T7, T5, Tc);
			 Td = FNMS(T7, T5, Tc);
			 T9 = FMA(T7, T8, T6);
			 TJ = FNMS(T7, T8, T6);
			 Th = T3 * Td;
			 T1T = T3 * TM;
			 T1Q = T3 * TJ;
			 Ta = T3 * T9;
			 Tb = W[5];
			 Tz = T2 * T4;
			 T14 = T2 * T8;
			 T10 = T2 * T5;
			 T1r = T2 * Tb;
			 T1n = T2 * T3;
			 TD = T2 * T7;
			 Ts = FMA(Tb, T8, Tr);
			 T1w = FNMS(Tb, T8, Tr);
			 T1d = FMA(Tb, T4, T1c);
			 T26 = FNMS(Tb, T4, T1c);
			 Tw = FNMS(Tb, T5, Tv);
			 T1z = FMA(Tb, T5, Tv);
			 T23 = FMA(Tb, T7, T18);
			 T19 = FNMS(Tb, T7, T18);
		    }
		    T2r = T2 * T1w;
		    T3i = T2 * TM;
		    T3P = T2 * Tw;
		    T2v = T2 * T1z;
		    T2S = T2 * T23;
		    T3m = T2 * T19;
		    T3q = T2 * T1d;
		    T3L = T2 * Ts;
		    T2I = T2 * Td;
		    T2E = T2 * T9;
		    T2W = T2 * T26;
		    T3e = T2 * TJ;
		    Te = FMA(Tb, Td, Ta);
		    TP = FNMS(Tb, Td, Ta);
		    T29 = FMA(Tb, TM, T1Q);
		    T1R = FNMS(Tb, TM, T1Q);
		    T2b = FNMS(Tb, TJ, T1T);
		    T1U = FMA(Tb, TJ, T1T);
		    Ti = FNMS(Tb, T9, Th);
		    TR = FMA(Tb, T9, Th);
		    Tf = T2 * Te;
		    T1S = T2 * T1R;
		    T2f = T2 * T2b;
		    TV = T2 * TR;
		    TQ = T2 * TP;
		    Tm = T2 * Ti;
		    T1Y = T2 * T1U;
		    T2a = T2 * T29;
		    Tg = W[7];
	       }
	       {
		    E T31, T34, T2X, T46, Tq, T97, T8H, T8D, T4b, T98, TH, T7f, TZ, T4j, T6t;
		    E T1g, T7g, T6u, T4q, T4z, T6x, T1J, T7m, T6y, T4G, T7l, T8d, T6B, T4V, T7r;
		    E T8e, T4O, T6A, T2k, T7o, T5E, T6P, T3G, T7L, T61, T6M, T7I, T8n, T55, T6I;
		    E T2N, T7A, T5s, T6F, T7x, T8i, T62, T5L, T7J, T43, T63, T5S, T8o, T7O, T57;
		    E T2R, T2U, T3a, T35, T5h, T58, T2Z, T32;
		    {
			 E T2F, T1V, T1K, T2T, T2w, T2J, T1N, T2c, T2s, T2g, T1Z, T3n, T3f, T3z, T3j;
			 E T3C, T3r, T3Q, T3M, T1x, T4E, T1H, T7j, T4x, T4A, T1v, T1B, T4B;
			 {
			      E TA, T1F, T15, TE, T1s, T11, T1C, TW, TS, T1o, TF, Ty, T49, TC, T48;
			      {
				   E T1, T8G, Tk, Tn, Tj, To;
				   T1 = ri[0];
				   T8G = ii[0];
				   Tk = ri[WS(ios, 16)];
				   T2F = FNMS(Tg, Td, T2E);
				   T31 = FMA(Tg, Td, T2E);
				   T1V = FMA(Tg, T1U, T1S);
				   T1K = FNMS(Tg, T7, Tz);
				   TA = FMA(Tg, T7, Tz);
				   T2T = FNMS(Tg, T26, T2S);
				   T1F = FNMS(Tg, T5, T14);
				   T15 = FMA(Tg, T5, T14);
				   T2w = FNMS(Tg, T1w, T2v);
				   T2J = FMA(Tg, T9, T2I);
				   T34 = FNMS(Tg, T9, T2I);
				   TE = FNMS(Tg, T4, TD);
				   T1N = FMA(Tg, T4, TD);
				   T2X = FMA(Tg, T23, T2W);
				   T2c = FNMS(Tg, T2b, T2a);
				   T2s = FMA(Tg, T1z, T2r);
				   T1s = FNMS(Tg, T3, T1r);
				   T2g = FMA(Tg, T29, T2f);
				   T1Z = FNMS(Tg, T1R, T1Y);
				   T11 = FNMS(Tg, T8, T10);
				   T1C = FMA(Tg, T8, T10);
				   TW = FNMS(Tg, TP, TV);
				   T3n = FMA(Tg, T1d, T3m);
				   T3f = FNMS(Tg, TM, T3e);
				   T3z = FMA(Tg, TM, T3e);
				   T3j = FMA(Tg, TJ, T3i);
				   T3C = FNMS(Tg, TJ, T3i);
				   TS = FMA(Tg, TR, TQ);
				   T3r = FNMS(Tg, T19, T3q);
				   Tn = FMA(Tg, Te, Tm);
				   T3Q = FMA(Tg, Ts, T3P);
				   T1o = FMA(Tg, Tb, T1n);
				   T3M = FNMS(Tg, Tw, T3L);
				   Tj = FNMS(Tg, Ti, Tf);
				   To = ii[WS(ios, 16)];
				   {
					E Tx, T47, Tu, Tp, T8F, TB, Tt, Tl, T8E;
					Tx = ii[WS(ios, 8)];
					Tt = ri[WS(ios, 8)];
					Tl = Tj * Tk;
					T8E = Tj * To;
					TF = ii[WS(ios, 24)];
					T47 = Tw * Tt;
					Tu = Ts * Tt;
					Tp = FMA(Tn, To, Tl);
					T8F = FNMS(Tn, Tk, T8E);
					TB = ri[WS(ios, 24)];
					Ty = FNMS(Tw, Tx, Tu);
					T46 = T1 - Tp;
					Tq = T1 + Tp;
					T97 = T8G - T8F;
					T8H = T8F + T8G;
					T49 = TE * TB;
					TC = TA * TB;
					T48 = FMA(Ts, Tx, T47);
				   }
			      }
			      {
				   E TO, TX, TT, T4f, TK, T4e;
				   {
					E TN, TL, T4a, TG;
					TK = ri[WS(ios, 4)];
					T4a = FMA(TA, TF, T49);
					TG = FNMS(TE, TF, TC);
					TN = ii[WS(ios, 4)];
					TL = TJ * TK;
					T8D = T48 + T4a;
					T4b = T48 - T4a;
					T98 = Ty - TG;
					TH = Ty + TG;
					T4e = TJ * TN;
					TO = FMA(TM, TN, TL);
				   }
				   TX = ii[WS(ios, 20)];
				   TT = ri[WS(ios, 20)];
				   T4f = FNMS(TM, TK, T4e);
				   {
					E T17, T4m, T1a, T1e, T1b, T4n;
					{
					     E T4h, TY, T4i, T4d;
					     {
						  E T12, T16, T4g, TU, T13, T4l;
						  T12 = ri[WS(ios, 28)];
						  T16 = ii[WS(ios, 28)];
						  T4g = TW * TT;
						  TU = TS * TT;
						  T13 = T11 * T12;
						  T4l = T11 * T16;
						  T4h = FMA(TS, TX, T4g);
						  TY = FNMS(TW, TX, TU);
						  T17 = FMA(T15, T16, T13);
						  T4m = FNMS(T15, T12, T4l);
					     }
					     T7f = T4f + T4h;
					     T4i = T4f - T4h;
					     TZ = TO + TY;
					     T4d = TO - TY;
					     T1a = ri[WS(ios, 12)];
					     T1e = ii[WS(ios, 12)];
					     T4j = T4d + T4i;
					     T6t = T4i - T4d;
					     T1b = T19 * T1a;
					     T4n = T19 * T1e;
					}
					{
					     E T4u, T1m, T4w, T1u, T1y, T1A;
					     {
						  E T1G, T1D, T1t, T1p;
						  {
						       E T1l, T1j, T1f, T4o;
						       T1l = ii[WS(ios, 2)];
						       T1j = ri[WS(ios, 2)];
						       T1f = FMA(T1d, T1e, T1b);
						       T4o = FNMS(T1d, T1a, T4n);
						       T1G = ii[WS(ios, 26)];
						       {
							    E T4t, T1k, T4k, T4p;
							    T4t = Td * T1j;
							    T1k = T9 * T1j;
							    T4k = T17 - T1f;
							    T1g = T17 + T1f;
							    T4p = T4m - T4o;
							    T7g = T4m + T4o;
							    T4u = FMA(T9, T1l, T4t);
							    T1m = FNMS(Td, T1l, T1k);
							    T6u = T4k + T4p;
							    T4q = T4k - T4p;
							    T1D = ri[WS(ios, 26)];
						       }
						  }
						  T1t = ii[WS(ios, 18)];
						  T1p = ri[WS(ios, 18)];
						  T1x = ri[WS(ios, 10)];
						  {
						       E T4D, T1E, T4v, T1q;
						       T4D = T1F * T1D;
						       T1E = T1C * T1D;
						       T4v = T1s * T1p;
						       T1q = T1o * T1p;
						       T4E = FMA(T1C, T1G, T4D);
						       T1H = FNMS(T1F, T1G, T1E);
						       T4w = FMA(T1o, T1t, T4v);
						       T1u = FNMS(T1s, T1t, T1q);
						       T1y = T1w * T1x;
						  }
						  T1A = ii[WS(ios, 10)];
					     }
					     T7j = T4u + T4w;
					     T4x = T4u - T4w;
					     T4A = T1m - T1u;
					     T1v = T1m + T1u;
					     T1B = FMA(T1z, T1A, T1y);
					     T4B = T1w * T1A;
					}
				   }
			      }
			 }
			 {
			      E T3v, T5Z, T3E, T7G, T5C, T5V, T3u, T3y, T5W;
			      {
				   E T1P, T4J, T2i, T27, T4T, T24, T4L, T21;
				   {
					E T1L, T2d, T4I, T2e, T2h;
					{
					     E T1M, T4F, T7k, T1O, T1I, T4y, T4C;
					     T1L = ri[WS(ios, 30)];
					     T1I = T1B + T1H;
					     T4y = T1B - T1H;
					     T4C = FNMS(T1z, T1x, T4B);
					     T1M = T1K * T1L;
					     T4z = T4x - T4y;
					     T6x = T4x + T4y;
					     T1J = T1v + T1I;
					     T7m = T1v - T1I;
					     T4F = T4C - T4E;
					     T7k = T4C + T4E;
					     T1O = ii[WS(ios, 30)];
					     T2d = ri[WS(ios, 22)];
					     T6y = T4A - T4F;
					     T4G = T4A + T4F;
					     T7l = T7j - T7k;
					     T8d = T7j + T7k;
					     T1P = FMA(T1N, T1O, T1M);
					     T4I = T1K * T1O;
					     T2e = T2c * T2d;
					     T2h = ii[WS(ios, 22)];
					}
					{
					     E T20, T1W, T4S, T4K, T1X;
					     T20 = ii[WS(ios, 14)];
					     T4J = FNMS(T1N, T1L, T4I);
					     T1W = ri[WS(ios, 14)];
					     T2i = FMA(T2g, T2h, T2e);
					     T4S = T2c * T2h;
					     T27 = ii[WS(ios, 6)];
					     T4K = T1Z * T1W;
					     T1X = T1V * T1W;
					     T4T = FNMS(T2g, T2d, T4S);
					     T24 = ri[WS(ios, 6)];
					     T4L = FMA(T1V, T20, T4K);
					     T21 = FNMS(T1Z, T20, T1X);
					}
				   }
				   {
					E T3l, T5z, T5B, T3t, T3w, T3x, T3D, T3A;
					{
					     E T3g, T5y, T3h, T3k;
					     {
						  E T4M, T7p, T4P, T22, T4R, T28, T4Q, T25;
						  T3g = ri[WS(ios, 31)];
						  T4Q = T26 * T24;
						  T25 = T23 * T24;
						  T4M = T4J - T4L;
						  T7p = T4J + T4L;
						  T4P = T1P - T21;
						  T22 = T1P + T21;
						  T4R = FMA(T23, T27, T4Q);
						  T28 = FNMS(T26, T27, T25);
						  T3h = T3f * T3g;
						  T3k = ii[WS(ios, 31)];
						  {
						       E T4U, T7q, T4N, T2j;
						       T4U = T4R - T4T;
						       T7q = T4R + T4T;
						       T4N = T28 - T2i;
						       T2j = T28 + T2i;
						       T6B = T4P - T4U;
						       T4V = T4P + T4U;
						       T7r = T7p - T7q;
						       T8e = T7p + T7q;
						       T4O = T4M - T4N;
						       T6A = T4M + T4N;
						       T2k = T22 + T2j;
						       T7o = T22 - T2j;
						       T5y = T3f * T3k;
						  }
					     }
					     T3l = FMA(T3j, T3k, T3h);
					     T3D = ii[WS(ios, 23)];
					     T3A = ri[WS(ios, 23)];
					     T5z = FNMS(T3j, T3g, T5y);
					}
					{
					     E T3s, T3o, T5Y, T3B, T5A, T3p;
					     T3s = ii[WS(ios, 15)];
					     T3o = ri[WS(ios, 15)];
					     T5Y = T3C * T3A;
					     T3B = T3z * T3A;
					     T3v = ri[WS(ios, 7)];
					     T5A = T3r * T3o;
					     T3p = T3n * T3o;
					     T5Z = FMA(T3z, T3D, T5Y);
					     T3E = FNMS(T3C, T3D, T3B);
					     T5B = FMA(T3n, T3s, T5A);
					     T3t = FNMS(T3r, T3s, T3p);
					     T3w = TP * T3v;
					     T3x = ii[WS(ios, 7)];
					}
					T7G = T5z + T5B;
					T5C = T5z - T5B;
					T5V = T3l - T3t;
					T3u = T3l + T3t;
					T3y = FMA(TR, T3x, T3w);
					T5W = TP * T3x;
				   }
			      }
			      {
				   E T2q, T50, T2L, T2A, T5q, T2B, T52, T2y, T2C;
				   {
					E T2n, T2G, T4Z, T2H, T2K;
					{
					     E T2o, T7H, T60, T2p, T3F, T5D, T5X;
					     T2n = ri[WS(ios, 1)];
					     T3F = T3y + T3E;
					     T5D = T3y - T3E;
					     T5X = FNMS(TR, T3v, T5W);
					     T2o = T5 * T2n;
					     T5E = T5C - T5D;
					     T6P = T5C + T5D;
					     T3G = T3u + T3F;
					     T7L = T3u - T3F;
					     T7H = T5X + T5Z;
					     T60 = T5X - T5Z;
					     T2p = ii[WS(ios, 1)];
					     T2G = ri[WS(ios, 25)];
					     T61 = T5V + T60;
					     T6M = T5V - T60;
					     T7I = T7G - T7H;
					     T8n = T7G + T7H;
					     T2q = FMA(T8, T2p, T2o);
					     T4Z = T5 * T2p;
					     T2H = T2F * T2G;
					     T2K = ii[WS(ios, 25)];
					}
					{
					     E T2x, T2t, T5p, T51, T2u;
					     T2x = ii[WS(ios, 17)];
					     T50 = FNMS(T8, T2n, T4Z);
					     T2t = ri[WS(ios, 17)];
					     T2L = FMA(T2J, T2K, T2H);
					     T5p = T2F * T2K;
					     T2A = ri[WS(ios, 9)];
					     T51 = T2w * T2t;
					     T2u = T2s * T2t;
					     T5q = FNMS(T2J, T2G, T5p);
					     T2B = T3 * T2A;
					     T52 = FMA(T2s, T2x, T51);
					     T2y = FNMS(T2w, T2x, T2u);
					     T2C = ii[WS(ios, 9)];
					}
				   }
				   {
					E T3U, T5Q, T41, T3T, T5K, T5J, T7M, T3X, T5N;
					{