hf_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 20:56:38 EST 2008 */

#include "codelet-rdft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_hc2hc -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 16 -dit -name hf_16 -include hf.h */

/*
 * This function contains 174 FP additions, 100 FP multiplications,
 * (or, 104 additions, 30 multiplications, 70 fused multiply/add),
 * 95 stack variables, 3 constants, and 64 memory accesses
 */
#include "hf.h"

static void hf_16(R *cr, R *ci, 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 - 1) * 30); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 30, MAKE_VOLATILE_STRIDE(rs)) {
	  E T2T, T2Q;
	  {
	       E T3A, T3o, T8, T1I, T2w, T35, T2k, T1s, T2p, T36, T2r, T1F, T3k, T1N, T3z;
	       E Tl, T1U, T2W, T1P, Tz, T2g, T30, T25, T11, TB, TE, T2a, T31, T2h, T1e;
	       E TC, T1X, TH, TK, TG, TD, TJ;
	       {
		    E Ta, Td, Tb, T1J, Tg, Tj, Tf, Tc, Ti;
		    {
			 E T1h, T1k, T1n, T2s, T1i, T1q, T1m, T1j, T1p;
			 {
			      E T1, T3n, T3, T6, T2, T5;
			      T1 = cr[0];
			      T3n = ci[0];
			      T3 = cr[WS(rs, 8)];
			      T6 = ci[WS(rs, 8)];
			      T2 = W[14];
			      T5 = W[15];
			      {
				   E T3l, T4, T1g, T3m, T7;
				   T1h = cr[WS(rs, 15)];
				   T1k = ci[WS(rs, 15)];
				   T3l = T2 * T6;
				   T4 = T2 * T3;
				   T1g = W[28];
				   T1n = cr[WS(rs, 7)];
				   T3m = FNMS(T5, T3, T3l);
				   T7 = FMA(T5, T6, T4);
				   T2s = T1g * T1k;
				   T1i = T1g * T1h;
				   T3A = T3n - T3m;
				   T3o = T3m + T3n;
				   T8 = T1 + T7;
				   T1I = T1 - T7;
				   T1q = ci[WS(rs, 7)];
				   T1m = W[12];
			      }
			      T1j = W[29];
			      T1p = W[13];
			 }
			 {
			      E T1u, T1x, T1v, T2l, T1A, T1D, T1z, T1w, T1C;
			      {
				   E T2t, T1l, T2v, T1r, T2u, T1o, T1t;
				   T1u = cr[WS(rs, 3)];
				   T2u = T1m * T1q;
				   T1o = T1m * T1n;
				   T2t = FNMS(T1j, T1h, T2s);
				   T1l = FMA(T1j, T1k, T1i);
				   T2v = FNMS(T1p, T1n, T2u);
				   T1r = FMA(T1p, T1q, T1o);
				   T1x = ci[WS(rs, 3)];
				   T1t = W[4];
				   T2w = T2t - T2v;
				   T35 = T2t + T2v;
				   T2k = T1l - T1r;
				   T1s = T1l + T1r;
				   T1v = T1t * T1u;
				   T2l = T1t * T1x;
			      }
			      T1A = cr[WS(rs, 11)];
			      T1D = ci[WS(rs, 11)];
			      T1z = W[20];
			      T1w = W[5];
			      T1C = W[21];
			      {
				   E T2m, T1y, T2o, T1E, T2n, T1B, T9;
				   Ta = cr[WS(rs, 4)];
				   T2n = T1z * T1D;
				   T1B = T1z * T1A;
				   T2m = FNMS(T1w, T1u, T2l);
				   T1y = FMA(T1w, T1x, T1v);
				   T2o = FNMS(T1C, T1A, T2n);
				   T1E = FMA(T1C, T1D, T1B);
				   Td = ci[WS(rs, 4)];
				   T9 = W[6];
				   T2p = T2m - T2o;
				   T36 = T2m + T2o;
				   T2r = T1E - T1y;
				   T1F = T1y + T1E;
				   Tb = T9 * Ta;
				   T1J = T9 * Td;
			      }
			      Tg = cr[WS(rs, 12)];
			      Tj = ci[WS(rs, 12)];
			      Tf = W[22];
			      Tc = W[7];
			      Ti = W[23];
			 }
		    }
		    {
			 E TQ, TT, TR, T2c, TW, TZ, TV, TS, TY;
			 {
			      E To, Tr, Tp, T1Q, Tu, Tx, Tt, Tq, Tw;
			      {
				   E T1K, Te, T1M, Tk, T1L, Th, Tn;
				   To = cr[WS(rs, 2)];
				   T1L = Tf * Tj;
				   Th = Tf * Tg;
				   T1K = FNMS(Tc, Ta, T1J);
				   Te = FMA(Tc, Td, Tb);
				   T1M = FNMS(Ti, Tg, T1L);
				   Tk = FMA(Ti, Tj, Th);
				   Tr = ci[WS(rs, 2)];
				   Tn = W[2];
				   T3k = T1K + T1M;
				   T1N = T1K - T1M;
				   T3z = Te - Tk;
				   Tl = Te + Tk;
				   Tp = Tn * To;
				   T1Q = Tn * Tr;
			      }
			      Tu = cr[WS(rs, 10)];
			      Tx = ci[WS(rs, 10)];
			      Tt = W[18];
			      Tq = W[3];
			      Tw = W[19];
			      {
				   E T1R, Ts, T1T, Ty, T1S, Tv, TP;
				   TQ = cr[WS(rs, 1)];
				   T1S = Tt * Tx;
				   Tv = Tt * Tu;
				   T1R = FNMS(Tq, To, T1Q);
				   Ts = FMA(Tq, Tr, Tp);
				   T1T = FNMS(Tw, Tu, T1S);
				   Ty = FMA(Tw, Tx, Tv);
				   TT = ci[WS(rs, 1)];
				   TP = W[0];
				   T1U = T1R - T1T;
				   T2W = T1R + T1T;
				   T1P = Ts - Ty;
				   Tz = Ts + Ty;
				   TR = TP * TQ;
				   T2c = TP * TT;
			      }
			      TW = cr[WS(rs, 9)];
			      TZ = ci[WS(rs, 9)];
			      TV = W[16];
			      TS = W[1];
			      TY = W[17];
			 }
			 {
			      E T13, T16, T14, T26, T19, T1c, T18, T15, T1b;
			      {
				   E T2d, TU, T2f, T10, T2e, TX, T12;
				   T13 = cr[WS(rs, 5)];
				   T2e = TV * TZ;
				   TX = TV * TW;
				   T2d = FNMS(TS, TQ, T2c);
				   TU = FMA(TS, TT, TR);
				   T2f = FNMS(TY, TW, T2e);
				   T10 = FMA(TY, TZ, TX);
				   T16 = ci[WS(rs, 5)];
				   T12 = W[8];
				   T2g = T2d - T2f;
				   T30 = T2d + T2f;
				   T25 = TU - T10;
				   T11 = TU + T10;
				   T14 = T12 * T13;
				   T26 = T12 * T16;
			      }
			      T19 = cr[WS(rs, 13)];
			      T1c = ci[WS(rs, 13)];
			      T18 = W[24];
			      T15 = W[9];
			      T1b = W[25];
			      {
				   E T27, T17, T29, T1d, T28, T1a, TA;
				   TB = cr[WS(rs, 14)];
				   T28 = T18 * T1c;
				   T1a = T18 * T19;
				   T27 = FNMS(T15, T13, T26);
				   T17 = FMA(T15, T16, T14);
				   T29 = FNMS(T1b, T19, T28);
				   T1d = FMA(T1b, T1c, T1a);
				   TE = ci[WS(rs, 14)];
				   TA = W[26];
				   T2a = T27 - T29;
				   T31 = T27 + T29;
				   T2h = T17 - T1d;
				   T1e = T17 + T1d;
				   TC = TA * TB;
				   T1X = TA * TE;
			      }
			      TH = cr[WS(rs, 6)];
			      TK = ci[WS(rs, 6)];
			      TG = W[10];
			      TD = W[27];
			      TJ = W[11];
			 }
		    }
	       }
	       {
		    E T2U, T3u, T2Z, T21, T1W, T34, T2X, T37, T3t, T3q, T3e, T32, T3i, T3h;
		    {
			 E T3f, T3r, T1H, T3s, TO, T3g;
			 {
			      E Tm, T1Y, TF, T20, TL, T3p, T1Z, TI;
			      T2U = T8 - Tl;
			      Tm = T8 + Tl;
			      T1Z = TG * TK;
			      TI = TG * TH;
			      T1Y = FNMS(TD, TB, T1X);
			      TF = FMA(TD, TE, TC);
			      T20 = FNMS(TJ, TH, T1Z);
			      TL = FMA(TJ, TK, TI);
			      T3p = T3k + T3o;
			      T3u = T3o - T3k;
			      {
				   E T1f, TM, T1G, T3j, T2V, TN;
				   T2Z = T11 - T1e;
				   T1f = T11 + T1e;
				   T21 = T1Y - T20;
				   T2V = T1Y + T20;
				   T1W = TF - TL;
				   TM = TF + TL;
				   T1G = T1s + T1F;
				   T34 = T1s - T1F;
				   T2X = T2V - T2W;
				   T3j = T2W + T2V;
				   T3f = T35 + T36;
				   T37 = T35 - T36;
				   T3t = Tz - TM;
				   TN = Tz + TM;
				   T3r = T1G - T1f;
				   T1H = T1f + T1G;
				   T3s = T3p - T3j;
				   T3q = T3j + T3p;
				   T3e = Tm - TN;
				   TO = Tm + TN;
				   T3g = T30 + T31;
				   T32 = T30 - T31;
			      }
			 }
			 cr[WS(rs, 12)] = T3r - T3s;
			 ci[WS(rs, 11)] = T3r + T3s;
			 ci[WS(rs, 7)] = TO - T1H;
			 T3i = T3g + T3f;
			 T3h = T3f - T3g;
			 cr[0] = TO + T1H;
		    }
		    {
			 E T3a, T2Y, T3x, T3v;
			 ci[WS(rs, 15)] = T3i + T3q;
			 cr[WS(rs, 8)] = T3i - T3q;
			 ci[WS(rs, 3)] = T3e + T3h;
			 cr[WS(rs, 4)] = T3e - T3h;
			 T3a = T2U + T2X;
			 T2Y = T2U - T2X;
			 T3x = T3u - T3t;
			 T3v = T3t + T3u;
			 {
			      E T2E, T1O, T3B, T3H, T2q, T2x, T3I, T23, T2R, T2O, T2J, T2K, T3C, T2H, T2B;
			      E T2j;
			      {
				   E T2F, T1V, T22, T2G;
				   {
					E T3b, T33, T3c, T38;
					T2E = T1I + T1N;
					T1O = T1I - T1N;
					T3b = T2Z - T32;
					T33 = T2Z + T32;
					T3c = T34 + T37;
					T38 = T34 - T37;
					T3B = T3z + T3A;
					T3H = T3A - T3z;
					{
					     E T3d, T3y, T3w, T39;
					     T3d = T3b + T3c;
					     T3y = T3c - T3b;
					     T3w = T38 - T33;
					     T39 = T33 + T38;
					     ci[WS(rs, 1)] = FMA(KP707106781, T3d, T3a);
					     cr[WS(rs, 6)] = FNMS(KP707106781, T3d, T3a);
					     ci[WS(rs, 13)] = FMA(KP707106781, T3y, T3x);
					     cr[WS(rs, 10)] = FMS(KP707106781, T3y, T3x);
					     ci[WS(rs, 9)] = FMA(KP707106781, T3w, T3v);
					     cr[WS(rs, 14)] = FMS(KP707106781, T3w, T3v);
					     cr[WS(rs, 2)] = FMA(KP707106781, T39, T2Y);
					     ci[WS(rs, 5)] = FNMS(KP707106781, T39, T2Y);
					     T2F = T1P + T1U;
					     T1V = T1P - T1U;
					     T22 = T1W + T21;
					     T2G = T1W - T21;
					}
				   }
				   {
					E T2M, T2N, T2b, T2i;
					T2q = T2k - T2p;
					T2M = T2k + T2p;
					T2N = T2w + T2r;
					T2x = T2r - T2w;
					T3I = T22 - T1V;
					T23 = T1V + T22;
					T2R = FMA(KP414213562, T2M, T2N);
					T2O = FNMS(KP414213562, T2N, T2M);
					T2J = T25 + T2a;
					T2b = T25 - T2a;
					T2i = T2g + T2h;
					T2K = T2g - T2h;
					T3C = T2F - T2G;
					T2H = T2F + T2G;
					T2B = FMA(KP414213562, T2b, T2i);
					T2j = FNMS(KP414213562, T2i, T2b);
				   }
			      }
			      {
				   E T2A, T3G, T2P, T2D, T3E, T3F, T3D, T2I;
				   {
					E T24, T2L, T2C, T2y, T3J, T3L, T3K, T2S, T2z, T3M;
					T2A = FNMS(KP707106781, T23, T1O);
					T24 = FMA(KP707106781, T23, T1O);
					T2S = FNMS(KP414213562, T2J, T2K);
					T2L = FMA(KP414213562, T2K, T2J);
					T2C = FMA(KP414213562, T2q, T2x);
					T2y = FNMS(KP414213562, T2x, T2q);
					T3J = FMA(KP707106781, T3I, T3H);
					T3L = FNMS(KP707106781, T3I, T3H);
					T2T = T2R - T2S;
					T3K = T2S + T2R;
					T3G = T2y - T2j;
					T2z = T2j + T2y;
					T3M = T2O - T2L;
					T2P = T2L + T2O;
					ci[WS(rs, 14)] = FMA(KP923879532, T3K, T3J);
					cr[WS(rs, 9)] = FMS(KP923879532, T3K, T3J);
					ci[0] = FMA(KP923879532, T2z, T24);
					cr[WS(rs, 7)] = FNMS(KP923879532, T2z, T24);
					cr[WS(rs, 13)] = FMS(KP923879532, T3M, T3L);
					ci[WS(rs, 10)] = FMA(KP923879532, T3M, T3L);
					T2D = T2B + T2C;
					T3E = T2C - T2B;
				   }
				   T2Q = FNMS(KP707106781, T2H, T2E);
				   T2I = FMA(KP707106781, T2H, T2E);
				   T3F = FNMS(KP707106781, T3C, T3B);
				   T3D = FMA(KP707106781, T3C, T3B);
				   cr[WS(rs, 3)] = FMA(KP923879532, T2D, T2A);
				   ci[WS(rs, 4)] = FNMS(KP923879532, T2D, T2A);
				   cr[WS(rs, 1)] = FMA(KP923879532, T2P, T2I);
				   ci[WS(rs, 6)] = FNMS(KP923879532, T2P, T2I);
				   ci[WS(rs, 8)] = FMA(KP923879532, T3E, T3D);
				   cr[WS(rs, 15)] = FMS(KP923879532, T3E, T3D);
				   ci[WS(rs, 12)] = FMA(KP923879532, T3G, T3F);
				   cr[WS(rs, 11)] = FMS(KP923879532, T3G, T3F);
			      }
			 }
		    }
	       }
	  }