t1_20.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 20:37:51 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 -n 20 -name t1_20 -include t.h */

/*
 * This function contains 246 FP additions, 148 FP multiplications,
 * (or, 136 additions, 38 multiplications, 110 fused multiply/add),
 * 97 stack variables, 4 constants, and 80 memory accesses
 */
#include "t.h"

static void t1_20(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DK(KP618033988, +0.618033988749894848204586834365638117720309180);
     INT m;
     for (m = mb, W = W + (mb * 38); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 38, MAKE_VOLATILE_STRIDE(rs)) {
	  E T4P, T4Y, T50, T4U, T4S, T4T, T4Z, T4V;
	  {
	       E T4N, T4r, T8, T2i, T4n, T2n, T4O, Tl, T2v, T3v, T40, T4b, TN, T2b, T3F;
	       E T3i, T2R, T3z, T3W, T4f, T27, T2f, T3J, T3a, T2K, T3y, T3T, T4e, T1G, T2e;
	       E T3I, T33, T2C, T3w, T43, T4c, T1e, T2c, T3G, T3p;
	       {
		    E T1, T4q, T3, T6, T2, T5;
		    T1 = ri[0];
		    T4q = ii[0];
		    T3 = ri[WS(rs, 10)];
		    T6 = ii[WS(rs, 10)];
		    T2 = W[18];
		    T5 = W[19];
		    {
			 E Ta, Td, Tg, T2j, Tb, Tj, Tf, Tc, Ti;
			 {
			      E T4o, T4, T9, T4p, T7;
			      Ta = ri[WS(rs, 5)];
			      Td = ii[WS(rs, 5)];
			      T4o = T2 * T6;
			      T4 = T2 * T3;
			      T9 = W[8];
			      Tg = ri[WS(rs, 15)];
			      T4p = FNMS(T5, T3, T4o);
			      T7 = FMA(T5, T6, T4);
			      T2j = T9 * Td;
			      Tb = T9 * Ta;
			      T4N = T4q - T4p;
			      T4r = T4p + T4q;
			      T8 = T1 + T7;
			      T2i = T1 - T7;
			      Tj = ii[WS(rs, 15)];
			      Tf = W[28];
			 }
			 Tc = W[9];
			 Ti = W[29];
			 {
			      E T3d, Ts, T2t, TL, TB, TE, TD, T3f, Ty, T2q, TC;
			      {
				   E TH, TK, TJ, T2s, TI;
				   {
					E To, Tr, Tp, T3c, Tq, TG;
					{
					     E T2k, Te, T2m, Tk, T2l, Th, Tn;
					     To = ri[WS(rs, 4)];
					     T2l = Tf * Tj;
					     Th = Tf * Tg;
					     T2k = FNMS(Tc, Ta, T2j);
					     Te = FMA(Tc, Td, Tb);
					     T2m = FNMS(Ti, Tg, T2l);
					     Tk = FMA(Ti, Tj, Th);
					     Tr = ii[WS(rs, 4)];
					     Tn = W[6];
					     T4n = T2k + T2m;
					     T2n = T2k - T2m;
					     T4O = Te - Tk;
					     Tl = Te + Tk;
					     Tp = Tn * To;
					     T3c = Tn * Tr;
					}
					Tq = W[7];
					TH = ri[WS(rs, 19)];
					TK = ii[WS(rs, 19)];
					TG = W[36];
					T3d = FNMS(Tq, To, T3c);
					Ts = FMA(Tq, Tr, Tp);
					TJ = W[37];
					T2s = TG * TK;
					TI = TG * TH;
				   }
				   {
					E Tu, Tx, Tt, Tw, T3e, Tv, TA;
					Tu = ri[WS(rs, 14)];
					Tx = ii[WS(rs, 14)];
					T2t = FNMS(TJ, TH, T2s);
					TL = FMA(TJ, TK, TI);
					Tt = W[26];
					Tw = W[27];
					TB = ri[WS(rs, 9)];
					TE = ii[WS(rs, 9)];
					T3e = Tt * Tx;
					Tv = Tt * Tu;
					TA = W[16];
					TD = W[17];
					T3f = FNMS(Tw, Tu, T3e);
					Ty = FMA(Tw, Tx, Tv);
					T2q = TA * TE;
					TC = TA * TB;
				   }
			      }
			      {
				   E T3g, T3Y, Tz, T2p, T2r, TF;
				   T3g = T3d - T3f;
				   T3Y = T3d + T3f;
				   Tz = Ts + Ty;
				   T2p = Ts - Ty;
				   T2r = FNMS(TD, TB, T2q);
				   TF = FMA(TD, TE, TC);
				   {
					E T3Z, T2u, T3h, TM;
					T3Z = T2r + T2t;
					T2u = T2r - T2t;
					T3h = TF - TL;
					TM = TF + TL;
					T2v = T2p - T2u;
					T3v = T2p + T2u;
					T40 = T3Y - T3Z;
					T4b = T3Y + T3Z;
					TN = Tz - TM;
					T2b = Tz + TM;
					T3F = T3g - T3h;
					T3i = T3g + T3h;
				   }
			      }
			 }
		    }
	       }
	       {
		    E T35, T1M, T2P, T25, T1V, T1Y, T1X, T37, T1S, T2M, T1W;
		    {
			 E T21, T24, T23, T2O, T22;
			 {
			      E T1I, T1L, T1H, T1K, T34, T1J, T20;
			      T1I = ri[WS(rs, 12)];
			      T1L = ii[WS(rs, 12)];
			      T1H = W[22];
			      T1K = W[23];
			      T21 = ri[WS(rs, 7)];
			      T24 = ii[WS(rs, 7)];
			      T34 = T1H * T1L;
			      T1J = T1H * T1I;
			      T20 = W[12];
			      T23 = W[13];
			      T35 = FNMS(T1K, T1I, T34);
			      T1M = FMA(T1K, T1L, T1J);
			      T2O = T20 * T24;
			      T22 = T20 * T21;
			 }
			 {
			      E T1O, T1R, T1N, T1Q, T36, T1P, T1U;
			      T1O = ri[WS(rs, 2)];
			      T1R = ii[WS(rs, 2)];
			      T2P = FNMS(T23, T21, T2O);
			      T25 = FMA(T23, T24, T22);
			      T1N = W[2];
			      T1Q = W[3];
			      T1V = ri[WS(rs, 17)];
			      T1Y = ii[WS(rs, 17)];
			      T36 = T1N * T1R;
			      T1P = T1N * T1O;
			      T1U = W[32];
			      T1X = W[33];
			      T37 = FNMS(T1Q, T1O, T36);
			      T1S = FMA(T1Q, T1R, T1P);
			      T2M = T1U * T1Y;
			      T1W = T1U * T1V;
			 }
		    }
		    {
			 E T38, T3U, T1T, T2L, T2N, T1Z;
			 T38 = T35 - T37;
			 T3U = T35 + T37;
			 T1T = T1M + T1S;
			 T2L = T1M - T1S;
			 T2N = FNMS(T1X, T1V, T2M);
			 T1Z = FMA(T1X, T1Y, T1W);
			 {
			      E T3V, T2Q, T39, T26;
			      T3V = T2N + T2P;
			      T2Q = T2N - T2P;
			      T39 = T1Z - T25;
			      T26 = T1Z + T25;
			      T2R = T2L - T2Q;
			      T3z = T2L + T2Q;
			      T3W = T3U - T3V;
			      T4f = T3U + T3V;
			      T27 = T1T - T26;
			      T2f = T1T + T26;
			      T3J = T38 - T39;
			      T3a = T38 + T39;
			 }
		    }
	       }
	       {
		    E T2Y, T1l, T2I, T1E, T1u, T1x, T1w, T30, T1r, T2F, T1v;
		    {
			 E T1A, T1D, T1C, T2H, T1B;
			 {
			      E T1h, T1k, T1g, T1j, T2X, T1i, T1z;
			      T1h = ri[WS(rs, 8)];
			      T1k = ii[WS(rs, 8)];
			      T1g = W[14];
			      T1j = W[15];
			      T1A = ri[WS(rs, 3)];
			      T1D = ii[WS(rs, 3)];
			      T2X = T1g * T1k;
			      T1i = T1g * T1h;
			      T1z = W[4];
			      T1C = W[5];
			      T2Y = FNMS(T1j, T1h, T2X);
			      T1l = FMA(T1j, T1k, T1i);
			      T2H = T1z * T1D;
			      T1B = T1z * T1A;
			 }
			 {
			      E T1n, T1q, T1m, T1p, T2Z, T1o, T1t;
			      T1n = ri[WS(rs, 18)];
			      T1q = ii[WS(rs, 18)];
			      T2I = FNMS(T1C, T1A, T2H);
			      T1E = FMA(T1C, T1D, T1B);
			      T1m = W[34];
			      T1p = W[35];
			      T1u = ri[WS(rs, 13)];
			      T1x = ii[WS(rs, 13)];
			      T2Z = T1m * T1q;
			      T1o = T1m * T1n;
			      T1t = W[24];
			      T1w = W[25];
			      T30 = FNMS(T1p, T1n, T2Z);
			      T1r = FMA(T1p, T1q, T1o);
			      T2F = T1t * T1x;
			      T1v = T1t * T1u;
			 }
		    }
		    {
			 E T31, T3R, T1s, T2E, T2G, T1y;
			 T31 = T2Y - T30;
			 T3R = T2Y + T30;
			 T1s = T1l + T1r;
			 T2E = T1l - T1r;
			 T2G = FNMS(T1w, T1u, T2F);
			 T1y = FMA(T1w, T1x, T1v);
			 {
			      E T3S, T2J, T32, T1F;
			      T3S = T2G + T2I;
			      T2J = T2G - T2I;
			      T32 = T1y - T1E;
			      T1F = T1y + T1E;
			      T2K = T2E - T2J;
			      T3y = T2E + T2J;
			      T3T = T3R - T3S;
			      T4e = T3R + T3S;
			      T1G = T1s - T1F;
			      T2e = T1s + T1F;
			      T3I = T31 - T32;
			      T33 = T31 + T32;
			 }
		    }
	       }
	       {
		    E T3k, TT, T2A, T1c, T12, T15, T14, T3m, TZ, T2x, T13;
		    {
			 E T18, T1b, T1a, T2z, T19;
			 {
			      E TP, TS, TO, TR, T3j, TQ, T17;
			      TP = ri[WS(rs, 16)];
			      TS = ii[WS(rs, 16)];
			      TO = W[30];
			      TR = W[31];
			      T18 = ri[WS(rs, 11)];
			      T1b = ii[WS(rs, 11)];
			      T3j = TO * TS;
			      TQ = TO * TP;
			      T17 = W[20];
			      T1a = W[21];
			      T3k = FNMS(TR, TP, T3j);
			      TT = FMA(TR, TS, TQ);
			      T2z = T17 * T1b;
			      T19 = T17 * T18;
			 }
			 {
			      E TV, TY, TU, TX, T3l, TW, T11;
			      TV = ri[WS(rs, 6)];
			      TY = ii[WS(rs, 6)];
			      T2A = FNMS(T1a, T18, T2z);
			      T1c = FMA(T1a, T1b, T19);
			      TU = W[10];
			      TX = W[11];
			      T12 = ri[WS(rs, 1)];
			      T15 = ii[WS(rs, 1)];
			      T3l = TU * TY;
			      TW = TU * TV;
			      T11 = W[0];
			      T14 = W[1];
			      T3m = FNMS(TX, TV, T3l);
			      TZ = FMA(TX, TY, TW);
			      T2x = T11 * T15;
			      T13 = T11 * T12;
			 }
		    }
		    {
			 E T3n, T41, T10, T2w, T2y, T16;
			 T3n = T3k - T3m;
			 T41 = T3k + T3m;
			 T10 = TT + TZ;
			 T2w = TT - TZ;
			 T2y = FNMS(T14, T12, T2x);
			 T16 = FMA(T14, T15, T13);
			 {
			      E T42, T2B, T3o, T1d;
			      T42 = T2y + T2A;
			      T2B = T2y - T2A;
			      T3o = T16 - T1c;
			      T1d = T16 + T1c;
			      T2C = T2w - T2B;
			      T3w = T2w + T2B;
			      T43 = T41 - T42;
			      T4c = T41 + T42;
			      T1e = T10 - T1d;
			      T2c = T10 + T1d;
			      T3G = T3n - T3o;
			      T3p = T3n + T3o;
			 }
		    }
	       }
	       {
		    E T4s, T4k, T4l, T4h, T4j, T49, T4y, T4A, T48;
		    {
			 E T4D, T4C, T2a, T47, T45, T4B, T4M, T4K, T46, T3Q;
			 {
			      E Tm, T1f, T4J, T4I, T28, T3X, T44, T29, T3P, T3O;
			      T4D = T3T + T3W;
			      T3X = T3T - T3W;
			      T44 = T40 - T43;
			      T4C = T40 + T43;
			      T2a = T8 + Tl;
			      Tm = T8 - Tl;
			      T1f = TN + T1e;
			      T4J = TN - T1e;
			      T4I = T1G - T27;
			      T28 = T1G + T27;
			      T47 = FMA(KP618033988, T3X, T44);
			      T45 = FNMS(KP618033988, T44, T3X);
			      T29 = T1f + T28;
			      T3P = T1f - T28;
			      T4B = T4r - T4n;
			      T4s = T4n + T4r;
			      ri[WS(rs, 10)] = Tm + T29;
			      T3O = FNMS(KP250000000, T29, Tm);
			      T4M = FMA(KP618033988, T4I, T4J);
			      T4K = FNMS(KP618033988, T4J, T4I);
			      T46 = FMA(KP559016994, T3P, T3O);
			      T3Q = FNMS(KP559016994, T3P, T3O);
			 }
			 {
			      E T2d, T4w, T4x, T2g, T2h;
			      {
				   E T4d, T4G, T4F, T4g, T4E, T4L, T4H;
				   T4k = T4b + T4c;
				   T4d = T4b - T4c;
				   T4G = T4C - T4D;
				   T4E = T4C + T4D;
				   ri[WS(rs, 18)] = FMA(KP951056516, T45, T3Q);
				   ri[WS(rs, 2)] = FNMS(KP951056516, T45, T3Q);
				   ri[WS(rs, 6)] = FMA(KP951056516, T47, T46);
				   ri[WS(rs, 14)] = FNMS(KP951056516, T47, T46);
				   ii[WS(rs, 10)] = T4E + T4B;
				   T4F = FNMS(KP250000000, T4E, T4B);
				   T4g = T4e - T4f;
				   T4l = T4e + T4f;
				   T2d = T2b + T2c;
				   T4w = T2b - T2c;
				   T4L = FMA(KP559016994, T4G, T4F);
				   T4H = FNMS(KP559016994, T4G, T4F);
				   T4h = FMA(KP618033988, T4g, T4d);
				   T4j = FNMS(KP618033988, T4d, T4g);
				   ii[WS(rs, 18)] = FNMS(KP951056516, T4K, T4H);
				   ii[WS(rs, 2)] = FMA(KP951056516, T4K, T4H);
				   ii[WS(rs, 14)] = FMA(KP951056516, T4M, T4L);
				   ii[WS(rs, 6)] = FNMS(KP951056516, T4M, T4L);
				   T4x = T2e - T2f;
				   T2g = T2e + T2f;
			      }
			      T2h = T2d + T2g;
			      T49 = T2d - T2g;
			      T4y = FMA(KP618033988, T4x, T4w);
			      T4A = FNMS(KP618033988, T4w, T4x);
			      ri[0] = T2a + T2h;
			      T48 = FNMS(KP250000000, T2h, T2a);
			 }
		    }
		    {
			 E T3u, T51, T5a, T5c, T56, T54;
			 {
			      E T53, T52, T3t, T3r, T2o, T59, T58, T2T, T2V, T4u, T4t, T2U, T3s, T2W;
			      {
				   E T3b, T3q, T4i, T4a, T4m;
				   T53 = T33 + T3a;
				   T3b = T33 - T3a;
				   T3q = T3i - T3p;
				   T52 = T3i + T3p;
				   T4i = FNMS(KP559016994, T49, T48);
				   T4a = FMA(KP559016994, T49, T48);
				   T4m = T4k + T4l;
				   T4u = T4k - T4l;
				   ri[WS(rs, 16)] = FMA(KP951056516, T4h, T4a);
				   ri[WS(rs, 4)] = FNMS(KP951056516, T4h, T4a);
				   ri[WS(rs, 8)] = FMA(KP951056516, T4j, T4i);
				   ri[WS(rs, 12)] = FNMS(KP951056516, T4j, T4i);
				   ii[0] = T4m + T4s;
				   T4t = FNMS(KP250000000, T4m, T4s);
				   T3t = FMA(KP618033988, T3b, T3q);
				   T3r = FNMS(KP618033988, T3q, T3b);
			      }
			      T3u = T2i + T2n;
			      T2o = T2i - T2n;
			      {
				   E T4v, T4z, T2D, T2S;
				   T4v = FMA(KP559016994, T4u, T4t);
				   T4z = FNMS(KP559016994, T4u, T4t);
				   T2D = T2v + T2C;
				   T59 = T2v - T2C;
				   T58 = T2K - T2R;
				   T2S = T2K + T2R;
				   ii[WS(rs, 16)] = FNMS(KP951056516, T4y, T4v);
				   ii[WS(rs, 4)] = FMA(KP951056516, T4y, T4v);
				   ii[WS(rs, 12)] = FMA(KP951056516, T4A, T4z);
				   ii[WS(rs, 8)] = FNMS(KP951056516, T4A, T4z);
				   T2T = T2D + T2S;
				   T2V = T2D - T2S;
			      }
			      ri[WS(rs, 15)] = T2o + T2T;
			      T2U = FNMS(KP250000000, T2T, T2o);
			      T51 = T4O + T4N;
			      T4P = T4N - T4O;
			      T5a = FNMS(KP618033988, T59, T58);
			      T5c = FMA(KP618033988, T58, T59);
			      T3s = FMA(KP559016994, T2V, T2U);
			      T2W = FNMS(KP559016994, T2V, T2U);
			      ri[WS(rs, 7)] = FNMS(KP951056516, T3r, T2W);
			      ri[WS(rs, 3)] = FMA(KP951056516, T3r, T2W);
			      ri[WS(rs, 19)] = FNMS(KP951056516, T3t, T3s);
			      ri[WS(rs, 11)] = FMA(KP951056516, T3t, T3s);
			      T56 = T52 - T53;
			      T54 = T52 + T53;
			 }
			 {
			      E T4Q, T4R, T3N, T3L, T4W, T4X, T3B, T3D, T3H, T3K, T55, T3C, T3M, T3E;
			      T4Q = T3F + T3G;
			      T3H = T3F - T3G;
			      T3K = T3I - T3J;
			      T4R = T3I + T3J;
			      ii[WS(rs, 15)] = T54 + T51;
			      T55 = FNMS(KP250000000, T54, T51);
			      T3N = FNMS(KP618033988, T3H, T3K);
			      T3L = FMA(KP618033988, T3K, T3H);
			      {
				   E T57, T5b, T3x, T3A;
				   T57 = FNMS(KP559016994, T56, T55);
				   T5b = FMA(KP559016994, T56, T55);
				   T3x = T3v + T3w;
				   T4W = T3v - T3w;
				   T4X = T3y - T3z;
				   T3A = T3y + T3z;
				   ii[WS(rs, 7)] = FMA(KP951056516, T5a, T57);
				   ii[WS(rs, 3)] = FNMS(KP951056516, T5a, T57);
				   ii[WS(rs, 19)] = FMA(KP951056516, T5c, T5b);
				   ii[WS(rs, 11)] = FNMS(KP951056516, T5c, T5b);
				   T3B = T3x + T3A;
				   T3D = T3x - T3A;
			      }
			      ri[WS(rs, 5)] = T3u + T3B;
			      T3C = FNMS(KP250000000, T3B, T3u);
			      T4Y = FMA(KP618033988, T4X, T4W);
			      T50 = FNMS(KP618033988, T4W, T4X);
			      T3M = FNMS(KP559016994, T3D, T3C);
			      T3E = FMA(KP559016994, T3D, T3C);
			      ri[WS(rs, 9)] = FNMS(KP951056516, T3L, T3E);
			      ri[WS(rs, 1)] = FMA(KP951056516, T3L, T3E);