hc2cfdft2_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 21:04:02 EST 2008 */

#include "codelet-rdft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_hc2cdft -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -dit -name hc2cfdft2_16 -include hc2cf.h */

/*
 * This function contains 228 FP additions, 166 FP multiplications,
 * (or, 136 additions, 74 multiplications, 92 fused multiply/add),
 * 103 stack variables, 4 constants, and 64 memory accesses
 */
#include "hc2cf.h"

static void hc2cfdft2_16(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP923879532, +0.923879532511286756128183189396788286822416626);
     DK(KP414213562, +0.414213562373095048801688724209698078569671875);
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     INT m;
     for (m = mb, W = W + ((mb - 1) * 8); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 8, MAKE_VOLATILE_STRIDE(rs)) {
	  E T4p, T4o, T4n, T4s;
	  {
	       E T1, T2, Tw, Ty, Th, T3, Tx, TE, Ti, TK, Tj, T4, T5;
	       T1 = W[0];
	       T2 = W[2];
	       Tw = W[6];
	       Ty = W[7];
	       Th = W[4];
	       T3 = T1 * T2;
	       Tx = T1 * Tw;
	       TE = T1 * Ty;
	       Ti = T1 * Th;
	       TK = T2 * Th;
	       Tj = W[5];
	       T4 = W[1];
	       T5 = W[3];
	       {
		    E T1v, T2q, T1s, T2s, T38, T3T, T1Y, T3P, T17, T1h, T2x, T2v, T33, T3Q, T3S;
		    E T1N, Tv, T3A, T2E, T3B, T3L, T2c, T3I, T2S, TW, T3E, T3J, T2n, T3D, T2J;
		    E T3M, T2X;
		    {
			 E TF, Tk, Tz, TL, T6, TR, Tq, Tc, T2h, T25, T2k, T29, T1G, T1M, T2P;
			 E T2R;
			 {
			      E T18, TY, T1d, T13, T1H, T1A, T1K, T1E, T37, T1R, T35, T1X;
			      {
				   E T1j, T1o, T1W, T1p, T1m, T1Q, T1U, T1q;
				   {
					E T1k, T1l, T1S, T1T;
					{
					     E T1t, T28, T24, T1D, T1z, T1u, TQ, Tp, Tb;
					     T1t = Ip[0];
					     TQ = T2 * Tj;
					     Tp = T1 * Tj;
					     TF = FNMS(T4, Tw, TE);
					     T1j = FMA(T4, Tj, Ti);
					     Tk = FNMS(T4, Tj, Ti);
					     Tz = FMA(T4, Ty, Tx);
					     T18 = FNMS(T5, Tj, TK);
					     TL = FMA(T5, Tj, TK);
					     TY = FNMS(T4, T5, T3);
					     T6 = FMA(T4, T5, T3);
					     Tb = T1 * T5;
					     TR = FNMS(T5, Th, TQ);
					     T1d = FMA(T5, Th, TQ);
					     Tq = FMA(T4, Th, Tp);
					     T1o = FNMS(T4, Th, Tp);
					     T28 = T6 * Tj;
					     T24 = T6 * Th;
					     T1D = TY * Tj;
					     T1z = TY * Th;
					     Tc = FNMS(T4, T2, Tb);
					     T13 = FMA(T4, T2, Tb);
					     T1u = Im[0];
					     T1k = Ip[WS(rs, 4)];
					     T2h = FMA(Tc, Tj, T24);
					     T25 = FNMS(Tc, Tj, T24);
					     T2k = FNMS(Tc, Th, T28);
					     T29 = FMA(Tc, Th, T28);
					     T1H = FNMS(T13, Tj, T1z);
					     T1A = FMA(T13, Tj, T1z);
					     T1K = FMA(T13, Th, T1D);
					     T1E = FNMS(T13, Th, T1D);
					     T1W = T1t + T1u;
					     T1v = T1t - T1u;
					     T1l = Im[WS(rs, 4)];
					}
					T1S = Rm[0];
					T1T = Rp[0];
					T1p = Rp[WS(rs, 4)];
					T1m = T1k - T1l;
					T1Q = T1k + T1l;
					T2q = T1T + T1S;
					T1U = T1S - T1T;
					T1q = Rm[WS(rs, 4)];
				   }
				   {
					E T36, T1V, T1O, T1r, T1n, T1P, T34, T2r;
					T36 = T4 * T1U;
					T1V = T1 * T1U;
					T1O = T1q - T1p;
					T1r = T1p + T1q;
					T1n = T1j * T1m;
					T37 = FMA(T1, T1W, T36);
					T2r = T1j * T1r;
					T1P = Th * T1O;
					T34 = Tj * T1O;
					T1s = FNMS(T1o, T1r, T1n);
					T2s = FMA(T1o, T1m, T2r);
					T1R = FNMS(Tj, T1Q, T1P);
					T35 = FMA(Th, T1Q, T34);
					T1X = FNMS(T4, T1W, T1V);
				   }
			      }
			      {
				   E T1F, T11, T1e, T16, T1L, T1b, T1f, T1C, T2Z;
				   {
					E T14, T15, TZ, T10, T19, T1a, T1B;
					TZ = Ip[WS(rs, 2)];
					T10 = Im[WS(rs, 2)];
					T38 = T35 + T37;
					T3T = T37 - T35;
					T1Y = T1R + T1X;
					T3P = T1X - T1R;
					T1F = TZ + T10;
					T11 = TZ - T10;
					T14 = Rp[WS(rs, 2)];
					T15 = Rm[WS(rs, 2)];
					T19 = Ip[WS(rs, 6)];
					T1a = Im[WS(rs, 6)];
					T1e = Rp[WS(rs, 6)];
					T16 = T14 + T15;
					T1B = T15 - T14;
					T1L = T19 + T1a;
					T1b = T19 - T1a;
					T1f = Rm[WS(rs, 6)];
					T1C = T1A * T1B;
					T2Z = T1E * T1B;
				   }
				   {
					E T1J, T31, T2u, T30, T32;
					{
					     E T12, T1g, T1I, T1c, T2w;
					     T12 = TY * T11;
					     T1g = T1e + T1f;
					     T1I = T1f - T1e;
					     T1c = T18 * T1b;
					     T17 = FNMS(T13, T16, T12);
					     T2w = T18 * T1g;
					     T1J = T1H * T1I;
					     T31 = T1K * T1I;
					     T1h = FNMS(T1d, T1g, T1c);
					     T2x = FMA(T1d, T1b, T2w);
					}
					T2u = TY * T16;
					T30 = FMA(T1A, T1F, T2Z);
					T32 = FMA(T1H, T1L, T31);
					T1G = FNMS(T1E, T1F, T1C);
					T2v = FMA(T13, T11, T2u);
					T1M = FNMS(T1K, T1L, T1J);
					T33 = T30 + T32;
					T3Q = T30 - T32;
				   }
			      }
			 }
			 {
			      E Tl, T22, T9, T20, Tf, T2O, Ta, T21, T2A, Tm, Tr, Ts;
			      {
				   E T7, T8, Td, Te;
				   T7 = Ip[WS(rs, 1)];
				   T3S = T1G - T1M;
				   T1N = T1G + T1M;
				   T8 = Im[WS(rs, 1)];
				   Td = Rp[WS(rs, 1)];
				   Te = Rm[WS(rs, 1)];
				   Tl = Ip[WS(rs, 5)];
				   T22 = T7 + T8;
				   T9 = T7 - T8;
				   T20 = Td - Te;
				   Tf = Td + Te;
				   T2O = T2 * T22;
				   Ta = T6 * T9;
				   T21 = T2 * T20;
				   T2A = T6 * Tf;
				   Tm = Im[WS(rs, 5)];
				   Tr = Rp[WS(rs, 5)];
				   Ts = Rm[WS(rs, 5)];
			      }
			      {
				   E Tg, T2a, Tn, T26, T2Q, T27, T2C, T2B, Tu, Tt, To, T23, T2D, T2b;
				   Tg = FNMS(Tc, Tf, Ta);
				   T2a = Tl + Tm;
				   Tn = Tl - Tm;
				   T26 = Tr - Ts;
				   Tt = Tr + Ts;
				   T2Q = T25 * T2a;
				   To = Tk * Tn;
				   T27 = T25 * T26;
				   T2C = Tk * Tt;
				   T2B = FMA(Tc, T9, T2A);
				   Tu = FNMS(Tq, Tt, To);
				   T23 = FMA(T5, T22, T21);
				   T2D = FMA(Tq, Tn, T2C);
				   T2b = FMA(T29, T2a, T27);
				   Tv = Tg + Tu;
				   T3A = Tg - Tu;
				   T2P = FNMS(T5, T20, T2O);
				   T2E = T2B + T2D;
				   T3B = T2B - T2D;
				   T3L = T2b - T23;
				   T2c = T23 + T2b;
				   T2R = FNMS(T29, T26, T2Q);
			      }
			 }
			 {
			      E T2f, TC, T2T, TD, T2d, TI, TS, T2e, T2F, T2l, TO, TT;
			      {
				   E TG, TH, TA, TB, TM, TN;
				   TA = Ip[WS(rs, 7)];
				   TB = Im[WS(rs, 7)];
				   TG = Rp[WS(rs, 7)];
				   T3I = T2R - T2P;
				   T2S = T2P + T2R;
				   T2f = TA + TB;
				   TC = TA - TB;
				   TH = Rm[WS(rs, 7)];
				   TM = Ip[WS(rs, 3)];
				   T2T = Tw * T2f;
				   TD = Tz * TC;
				   T2d = TG - TH;
				   TI = TG + TH;
				   TN = Im[WS(rs, 3)];
				   TS = Rp[WS(rs, 3)];
				   T2e = Tw * T2d;
				   T2F = Tz * TI;
				   T2l = TM + TN;
				   TO = TM - TN;
				   TT = Rm[WS(rs, 3)];
			      }
			      {
				   E TJ, T2V, TP, T2i, TU, T2G;
				   TJ = FNMS(TF, TI, TD);
				   T2V = T2h * T2l;
				   TP = TL * TO;
				   T2i = TS - TT;
				   TU = TS + TT;
				   T2G = FMA(TF, TC, T2F);
				   {
					E T2g, T2j, TV, T2H;
					T2g = FMA(Ty, T2f, T2e);
					T2j = T2h * T2i;
					TV = FNMS(TR, TU, TP);
					T2H = TL * TU;
					{
					     E T2U, T2m, T2I, T2W;
					     T2U = FNMS(Ty, T2d, T2T);
					     T2m = FMA(T2k, T2l, T2j);
					     TW = TJ + TV;
					     T3E = TJ - TV;
					     T2I = FMA(TR, TO, T2H);
					     T2W = FNMS(T2k, T2i, T2V);
					     T3J = T2m - T2g;
					     T2n = T2g + T2m;
					     T3D = T2G - T2I;
					     T2J = T2G + T2I;
					     T3M = T2U - T2W;
					     T2X = T2U + T2W;
					}
				   }
			      }
			 }
		    }
		    {
			 E T3Y, T3x, T3X, T3y, T3r, T3q, T3p, T3u;
			 {
			      E T2Y, T3o, TX, T3s, T3i, T39, T3t, T3l, T3e, T1x, T2M, T2p, T3d, T2K, T2t;
			      E T2y;
			      {
				   E T2o, T1Z, T3j, T3k, T1i, T1w, T3g, T3h;
				   T2Y = T2S + T2X;
				   T3g = T2X - T2S;
				   T3h = T2c - T2n;
				   T2o = T2c + T2n;
				   T1Z = T1N + T1Y;
				   T3j = T1Y - T1N;
				   T3o = Tv - TW;
				   TX = Tv + TW;
				   T3s = T3g - T3h;
				   T3i = T3g + T3h;
				   T3k = T38 - T33;
				   T39 = T33 + T38;
				   T3Y = T17 - T1h;
				   T1i = T17 + T1h;
				   T1w = T1s + T1v;
				   T3x = T1v - T1s;
				   T3t = T3j + T3k;
				   T3l = T3j - T3k;
				   T3e = T1w - T1i;
				   T1x = T1i + T1w;
				   T2M = T2o + T1Z;
				   T2p = T1Z - T2o;
				   T3d = T2J - T2E;
				   T2K = T2E + T2J;
				   T3X = T2q - T2s;
				   T2t = T2q + T2s;
				   T2y = T2v + T2x;
				   T3y = T2v - T2x;
			      }
			      {
				   E T2N, T3c, T3a, T3n, T3b, T2L, T2z, T1y;
				   T2N = T1x - TX;
				   T1y = TX + T1x;
				   T3c = T2Y + T39;
				   T3a = T2Y - T39;
				   T3n = T2t - T2y;
				   T2z = T2t + T2y;
				   Ip[0] = KP500000000 * (T1y + T2p);
				   Im[WS(rs, 7)] = KP500000000 * (T2p - T1y);
				   T3b = T2z + T2K;
				   T2L = T2z - T2K;
				   {
					E T3f, T3m, T3v, T3w;
					T3r = T3e - T3d;
					T3f = T3d + T3e;
					Im[WS(rs, 3)] = KP500000000 * (T3a - T2N);
					Ip[WS(rs, 4)] = KP500000000 * (T2N + T3a);
					Rp[WS(rs, 4)] = KP500000000 * (T2L + T2M);
					Rm[WS(rs, 3)] = KP500000000 * (T2L - T2M);
					Rp[0] = KP500000000 * (T3b + T3c);
					Rm[WS(rs, 7)] = KP500000000 * (T3b - T3c);
					T3m = T3i + T3l;
					T3q = T3l - T3i;
					T3p = T3n - T3o;
					T3v = T3n + T3o;
					T3w = T3s + T3t;
					T3u = T3s - T3t;
					Im[WS(rs, 5)] = -(KP500000000 * (FNMS(KP707106781, T3m, T3f)));
					Ip[WS(rs, 2)] = KP500000000 * (FMA(KP707106781, T3m, T3f));
					Rp[WS(rs, 2)] = KP500000000 * (FMA(KP707106781, T3w, T3v));
					Rm[WS(rs, 5)] = KP500000000 * (FNMS(KP707106781, T3w, T3v));
				   }
			      }
			 }
			 {
			      E T3R, T4b, T3z, T4q, T4g, T3U, T40, T41, T4r, T4j, T4m, T3G, T46, T3O, T4l;
			      E T3Z, T4c;
			      {
				   E T3K, T3N, T4h, T4i, T3C, T3F, T4e, T4f;
				   Rp[WS(rs, 6)] = KP500000000 * (FMA(KP707106781, T3q, T3p));
				   Rm[WS(rs, 1)] = KP500000000 * (FNMS(KP707106781, T3q, T3p));
				   Im[WS(rs, 1)] = -(KP500000000 * (FNMS(KP707106781, T3u, T3r)));
				   Ip[WS(rs, 6)] = KP500000000 * (FMA(KP707106781, T3u, T3r));
				   T3K = T3I + T3J;
				   T4e = T3I - T3J;
				   T4f = T3M - T3L;
				   T3N = T3L + T3M;
				   T3R = T3P - T3Q;
				   T4h = T3Q + T3P;
				   T4b = T3y + T3x;
				   T3z = T3x - T3y;
				   T4q = FNMS(KP414213562, T4e, T4f);
				   T4g = FMA(KP414213562, T4f, T4e);
				   T4i = T3T - T3S;
				   T3U = T3S + T3T;
				   T40 = T3B + T3A;
				   T3C = T3A - T3B;
				   T3F = T3D + T3E;
				   T41 = T3D - T3E;
				   T4r = FNMS(KP414213562, T4h, T4i);
				   T4j = FMA(KP414213562, T4i, T4h);
				   T4m = T3C - T3F;
				   T3G = T3C + T3F;
				   T46 = FNMS(KP414213562, T3K, T3N);
				   T3O = FMA(KP414213562, T3N, T3K);
				   T4l = T3X - T3Y;
				   T3Z = T3X + T3Y;
			      }
			      {
				   E T45, T3H, T42, T47, T3V;
				   T45 = FNMS(KP707106781, T3G, T3z);
				   T3H = FMA(KP707106781, T3G, T3z);
				   T4c = T41 - T40;
				   T42 = T40 + T41;
				   T47 = FMA(KP414213562, T3R, T3U);
				   T3V = FNMS(KP414213562, T3U, T3R);
				   {
					E T49, T43, T48, T4a, T44, T3W;
					T49 = FMA(KP707106781, T42, T3Z);
					T43 = FNMS(KP707106781, T42, T3Z);
					T48 = T46 - T47;
					T4a = T46 + T47;
					T44 = T3V - T3O;
					T3W = T3O + T3V;
					Rp[WS(rs, 1)] = KP500000000 * (FMA(KP923879532, T4a, T49));
					Rm[WS(rs, 6)] = KP500000000 * (FNMS(KP923879532, T4a, T49));
					Rp[WS(rs, 5)] = KP500000000 * (FMA(KP923879532, T44, T43));
					Rm[WS(rs, 2)] = KP500000000 * (FNMS(KP923879532, T44, T43));
					Im[WS(rs, 6)] = -(KP500000000 * (FNMS(KP923879532, T3W, T3H)));
					Ip[WS(rs, 1)] = KP500000000 * (FMA(KP923879532, T3W, T3H));
					Ip[WS(rs, 5)] = KP500000000 * (FMA(KP923879532, T48, T45));
					Im[WS(rs, 2)] = -(KP500000000 * (FNMS(KP923879532, T48, T45)));
				   }
			      }
			      {
				   E T4d, T4k, T4t, T4u;
				   T4p = FMA(KP707106781, T4c, T4b);
				   T4d = FNMS(KP707106781, T4c, T4b);
				   T4k = T4g - T4j;
				   T4o = T4g + T4j;
				   T4n = FMA(KP707106781, T4m, T4l);
				   T4t = FNMS(KP707106781, T4m, T4l);
				   T4u = T4q + T4r;
				   T4s = T4q - T4r;
				   Im[0] = -(KP500000000 * (FNMS(KP923879532, T4k, T4d)));
				   Ip[WS(rs, 7)] = KP500000000 * (FMA(KP923879532, T4k, T4d));
				   Rm[0] = KP500000000 * (FMA(KP923879532, T4u, T4t));
				   Rp[WS(rs, 7)] = KP500000000 * (FNMS(KP923879532, T4u, T4t));
			      }
			 }
		    }
	       }
	  }
	  Rp[WS(rs, 3)] = KP500000000 * (FMA(KP923879532, T4o, T4n));
	  Rm[WS(rs, 4)] = KP500000000 * (FNMS(KP923879532, T4o, T4n));
	  Im[WS(rs, 4)] = -(KP500000000 * (FNMS(KP923879532, T4s, T4p)));
	  Ip[WS(rs, 3)] = KP500000000 * (FMA(KP923879532, T4s, T4p));
     }
}

static const tw_instr twinstr[] = {
     {TW_CEXP, 1, 1},
     {TW_CEXP, 1, 3},
     {TW_CEXP, 1, 9},