hf_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 20:57:27 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 20 -dit -name hf_20 -include hf.h */

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

static void hf_20(R *cr, R *ci, 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 - 1) * 38); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 38, MAKE_VOLATILE_STRIDE(rs)) {
	  E T54, T5a, T5c, T56, T53, T55, T5b, T57;
	  {
	       E T4N, T4q, T8, T2i, T4r, T2n, T4O, Tl, T2v, T3v, T43, T4b, TN, T2b, T3F;
	       E T3a, T2R, T3z, T3T, T4f, T27, T2f, T3J, T3i, T2K, T3y, T3W, T4e, T1G, T2e;
	       E T3I, T3p, T2C, T3w, T40, T4c, T1e, T2c, T3G, T33;
	       {
		    E T1, T4p, T3, T6, T2, T5;
		    T1 = cr[0];
		    T4p = ci[0];
		    T3 = cr[WS(rs, 10)];
		    T6 = ci[WS(rs, 10)];
		    T2 = W[18];
		    T5 = W[19];
		    {
			 E Ta, Td, Tg, T2j, Tb, Tj, Tf, Tc, Ti;
			 {
			      E T4n, T4, T9, T4o, T7;
			      Ta = cr[WS(rs, 5)];
			      Td = ci[WS(rs, 5)];
			      T4n = T2 * T6;
			      T4 = T2 * T3;
			      T9 = W[8];
			      Tg = cr[WS(rs, 15)];
			      T4o = FNMS(T5, T3, T4n);
			      T7 = FMA(T5, T6, T4);
			      T2j = T9 * Td;
			      Tb = T9 * Ta;
			      T4N = T4p - T4o;
			      T4q = T4o + T4p;
			      T8 = T1 + T7;
			      T2i = T1 - T7;
			      Tj = ci[WS(rs, 15)];
			      Tf = W[28];
			 }
			 Tc = W[9];
			 Ti = W[29];
			 {
			      E T36, Ts, T2t, TL, TB, TE, TD, T38, Ty, T2q, TC;
			      {
				   E TH, TK, TJ, T2s, TI;
				   {
					E To, Tr, Tp, T35, Tq, TG;
					{
					     E T2k, Te, T2m, Tk, T2l, Th, Tn;
					     To = cr[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 = ci[WS(rs, 4)];
					     Tn = W[6];
					     T4r = T2k + T2m;
					     T2n = T2k - T2m;
					     T4O = Te - Tk;
					     Tl = Te + Tk;
					     Tp = Tn * To;
					     T35 = Tn * Tr;
					}
					Tq = W[7];
					TH = cr[WS(rs, 19)];
					TK = ci[WS(rs, 19)];
					TG = W[36];
					T36 = FNMS(Tq, To, T35);
					Ts = FMA(Tq, Tr, Tp);
					TJ = W[37];
					T2s = TG * TK;
					TI = TG * TH;
				   }
				   {
					E Tu, Tx, Tt, Tw, T37, Tv, TA;
					Tu = cr[WS(rs, 14)];
					Tx = ci[WS(rs, 14)];
					T2t = FNMS(TJ, TH, T2s);
					TL = FMA(TJ, TK, TI);
					Tt = W[26];
					Tw = W[27];
					TB = cr[WS(rs, 9)];
					TE = ci[WS(rs, 9)];
					T37 = Tt * Tx;
					Tv = Tt * Tu;
					TA = W[16];
					TD = W[17];
					T38 = FNMS(Tw, Tu, T37);
					Ty = FMA(Tw, Tx, Tv);
					T2q = TA * TE;
					TC = TA * TB;
				   }
			      }
			      {
				   E T39, T42, Tz, T2p, T2r, TF;
				   T39 = T36 - T38;
				   T42 = T36 + T38;
				   Tz = Ts + Ty;
				   T2p = Ts - Ty;
				   T2r = FNMS(TD, TB, T2q);
				   TF = FMA(TD, TE, TC);
				   {
					E T41, T2u, TM, T34;
					T41 = T2r + T2t;
					T2u = T2r - T2t;
					TM = TF + TL;
					T34 = TL - TF;
					T2v = T2p - T2u;
					T3v = T2p + T2u;
					T43 = T41 - T42;
					T4b = T42 + T41;
					TN = Tz - TM;
					T2b = Tz + TM;
					T3F = T39 + T34;
					T3a = T34 - T39;
				   }
			      }
			 }
		    }
	       }
	       {
		    E T3e, T1M, T2P, T25, T1V, T1Y, T1X, T3g, T1S, T2M, T1W;
		    {
			 E T21, T24, T23, T2O, T22;
			 {
			      E T1I, T1L, T1H, T1K, T3d, T1J, T20;
			      T1I = cr[WS(rs, 12)];
			      T1L = ci[WS(rs, 12)];
			      T1H = W[22];
			      T1K = W[23];
			      T21 = cr[WS(rs, 7)];
			      T24 = ci[WS(rs, 7)];
			      T3d = T1H * T1L;
			      T1J = T1H * T1I;
			      T20 = W[12];
			      T23 = W[13];
			      T3e = FNMS(T1K, T1I, T3d);
			      T1M = FMA(T1K, T1L, T1J);
			      T2O = T20 * T24;
			      T22 = T20 * T21;
			 }
			 {
			      E T1O, T1R, T1N, T1Q, T3f, T1P, T1U;
			      T1O = cr[WS(rs, 2)];
			      T1R = ci[WS(rs, 2)];
			      T2P = FNMS(T23, T21, T2O);
			      T25 = FMA(T23, T24, T22);
			      T1N = W[2];
			      T1Q = W[3];
			      T1V = cr[WS(rs, 17)];
			      T1Y = ci[WS(rs, 17)];
			      T3f = T1N * T1R;
			      T1P = T1N * T1O;
			      T1U = W[32];
			      T1X = W[33];
			      T3g = FNMS(T1Q, T1O, T3f);
			      T1S = FMA(T1Q, T1R, T1P);
			      T2M = T1U * T1Y;
			      T1W = T1U * T1V;
			 }
		    }
		    {
			 E T3h, T3S, T1T, T2L, T2N, T1Z;
			 T3h = T3e - T3g;
			 T3S = T3e + T3g;
			 T1T = T1M + T1S;
			 T2L = T1M - T1S;
			 T2N = FNMS(T1X, T1V, T2M);
			 T1Z = FMA(T1X, T1Y, T1W);
			 {
			      E T3R, T2Q, T26, T3c;
			      T3R = T2N + T2P;
			      T2Q = T2N - T2P;
			      T26 = T1Z + T25;
			      T3c = T25 - T1Z;
			      T2R = T2L - T2Q;
			      T3z = T2L + T2Q;
			      T3T = T3R - T3S;
			      T4f = T3S + T3R;
			      T27 = T1T - T26;
			      T2f = T1T + T26;
			      T3J = T3h + T3c;
			      T3i = T3c - T3h;
			 }
		    }
	       }
	       {
		    E T3l, T1l, T2I, T1E, T1u, T1x, T1w, T3n, T1r, T2F, T1v;
		    {
			 E T1A, T1D, T1C, T2H, T1B;
			 {
			      E T1h, T1k, T1g, T1j, T3k, T1i, T1z;
			      T1h = cr[WS(rs, 8)];
			      T1k = ci[WS(rs, 8)];
			      T1g = W[14];
			      T1j = W[15];
			      T1A = cr[WS(rs, 3)];
			      T1D = ci[WS(rs, 3)];
			      T3k = T1g * T1k;
			      T1i = T1g * T1h;
			      T1z = W[4];
			      T1C = W[5];
			      T3l = FNMS(T1j, T1h, T3k);
			      T1l = FMA(T1j, T1k, T1i);
			      T2H = T1z * T1D;
			      T1B = T1z * T1A;
			 }
			 {
			      E T1n, T1q, T1m, T1p, T3m, T1o, T1t;
			      T1n = cr[WS(rs, 18)];
			      T1q = ci[WS(rs, 18)];
			      T2I = FNMS(T1C, T1A, T2H);
			      T1E = FMA(T1C, T1D, T1B);
			      T1m = W[34];
			      T1p = W[35];
			      T1u = cr[WS(rs, 13)];
			      T1x = ci[WS(rs, 13)];
			      T3m = T1m * T1q;
			      T1o = T1m * T1n;
			      T1t = W[24];
			      T1w = W[25];
			      T3n = FNMS(T1p, T1n, T3m);
			      T1r = FMA(T1p, T1q, T1o);
			      T2F = T1t * T1x;
			      T1v = T1t * T1u;
			 }
		    }
		    {
			 E T3o, T3V, T1s, T2E, T2G, T1y;
			 T3o = T3l - T3n;
			 T3V = T3l + T3n;
			 T1s = T1l + T1r;
			 T2E = T1l - T1r;
			 T2G = FNMS(T1w, T1u, T2F);
			 T1y = FMA(T1w, T1x, T1v);
			 {
			      E T3U, T2J, T1F, T3j;
			      T3U = T2G + T2I;
			      T2J = T2G - T2I;
			      T1F = T1y + T1E;
			      T3j = T1E - T1y;
			      T2K = T2E - T2J;
			      T3y = T2E + T2J;
			      T3W = T3U - T3V;
			      T4e = T3V + T3U;
			      T1G = T1s - T1F;
			      T2e = T1s + T1F;
			      T3I = T3o + T3j;
			      T3p = T3j - T3o;
			 }
		    }
	       }
	       {
		    E T2Z, TT, T2A, T1c, T12, T15, T14, T31, TZ, T2x, T13;
		    {
			 E T18, T1b, T1a, T2z, T19;
			 {
			      E TP, TS, TO, TR, T2Y, TQ, T17;
			      TP = cr[WS(rs, 16)];
			      TS = ci[WS(rs, 16)];
			      TO = W[30];
			      TR = W[31];
			      T18 = cr[WS(rs, 11)];
			      T1b = ci[WS(rs, 11)];
			      T2Y = TO * TS;
			      TQ = TO * TP;
			      T17 = W[20];
			      T1a = W[21];
			      T2Z = FNMS(TR, TP, T2Y);
			      TT = FMA(TR, TS, TQ);
			      T2z = T17 * T1b;
			      T19 = T17 * T18;
			 }
			 {
			      E TV, TY, TU, TX, T30, TW, T11;
			      TV = cr[WS(rs, 6)];
			      TY = ci[WS(rs, 6)];
			      T2A = FNMS(T1a, T18, T2z);
			      T1c = FMA(T1a, T1b, T19);
			      TU = W[10];
			      TX = W[11];
			      T12 = cr[WS(rs, 1)];
			      T15 = ci[WS(rs, 1)];
			      T30 = TU * TY;
			      TW = TU * TV;
			      T11 = W[0];
			      T14 = W[1];
			      T31 = FNMS(TX, TV, T30);
			      TZ = FMA(TX, TY, TW);
			      T2x = T11 * T15;
			      T13 = T11 * T12;
			 }
		    }
		    {
			 E T32, T3Z, T10, T2w, T2y, T16;
			 T32 = T2Z - T31;
			 T3Z = T2Z + T31;
			 T10 = TT + TZ;
			 T2w = TT - TZ;
			 T2y = FNMS(T14, T12, T2x);
			 T16 = FMA(T14, T15, T13);
			 {
			      E T3Y, T2B, T1d, T2X;
			      T3Y = T2y + T2A;
			      T2B = T2y - T2A;
			      T1d = T16 + T1c;
			      T2X = T1c - T16;
			      T2C = T2w - T2B;
			      T3w = T2w + T2B;
			      T40 = T3Y - T3Z;
			      T4c = T3Z + T3Y;
			      T1e = T10 - T1d;
			      T2c = T10 + T1d;
			      T3G = T32 + T2X;
			      T33 = T2X - T32;
			 }
		    }
	       }
	       {
		    E T4l, T4k, T4w, T4x, T4Q, T4R, T2o, T4X, T4W, T4C, T4D, T4J, T4h, T4j, T4I;
		    E T51, T52, T49, T3r, T3t, T58, T2D, T48, T2S, T59;
		    {
			 E T2a, T47, T45, T3u, T3x, T3N, T3L, T3A, T46, T3Q;
			 {
			      E Tm, T1f, T28, T3X, T44;
			      T4l = T3W + T3T;
			      T3X = T3T - T3W;
			      T44 = T40 - T43;
			      T4k = T43 + T40;
			      T2a = T8 + Tl;
			      Tm = T8 - Tl;
			      T1f = TN + T1e;
			      T4w = T1e - TN;
			      T4x = T1G - T27;
			      T28 = T1G + T27;
			      T47 = FMA(KP618033988, T3X, T44);
			      T45 = FNMS(KP618033988, T44, T3X);
			      {
				   E T3H, T29, T3P, T3K, T3O;
				   T3H = T3F - T3G;
				   T4Q = T3F + T3G;
				   T29 = T1f + T28;
				   T3P = T1f - T28;
				   T4R = T3I + T3J;
				   T3K = T3I - T3J;
				   T3u = T2i + T2n;
				   T2o = T2i - T2n;
				   T4X = T3v - T3w;
				   T3x = T3v + T3w;
				   ci[WS(rs, 9)] = Tm + T29;
				   T3O = FNMS(KP250000000, T29, Tm);
				   T3N = FNMS(KP618033988, T3H, T3K);
				   T3L = FMA(KP618033988, T3K, T3H);
				   T3A = T3y + T3z;
				   T4W = T3y - T3z;
				   T46 = FMA(KP559016994, T3P, T3O);
				   T3Q = FNMS(KP559016994, T3P, T3O);
			      }
			 }
			 {
			      E T2d, T2g, T3b, T3q, T2h;
			      {
				   E T4d, T3D, T3C, T4g, T3B, T3M, T3E;
				   T4C = T4b + T4c;
				   T4d = T4b - T4c;
				   T3D = T3x - T3A;
				   T3B = T3x + T3A;
				   ci[WS(rs, 1)] = FMA(KP951056516, T45, T3Q);
				   cr[WS(rs, 2)] = FNMS(KP951056516, T45, T3Q);
				   cr[WS(rs, 6)] = FMA(KP951056516, T47, T46);
				   ci[WS(rs, 5)] = FNMS(KP951056516, T47, T46);
				   cr[WS(rs, 5)] = T3u + T3B;
				   T3C = FNMS(KP250000000, T3B, T3u);
				   T4g = T4e - T4f;
				   T4D = T4e + T4f;
				   T2d = T2b + T2c;
				   T4J = T2b - T2c;
				   T3M = FNMS(KP559016994, T3D, T3C);
				   T3E = FMA(KP559016994, T3D, T3C);
				   T4h = FMA(KP618033988, T4g, T4d);
				   T4j = FNMS(KP618033988, T4d, T4g);
				   cr[WS(rs, 9)] = FNMS(KP951056516, T3L, T3E);
				   cr[WS(rs, 1)] = FMA(KP951056516, T3L, T3E);
				   ci[WS(rs, 6)] = FMA(KP951056516, T3N, T3M);
				   ci[WS(rs, 2)] = FNMS(KP951056516, T3N, T3M);
				   T4I = T2f - T2e;
				   T2g = T2e + T2f;
			      }
			      T3b = T33 - T3a;
			      T51 = T3a + T33;
			      T52 = T3p + T3i;
			      T3q = T3i - T3p;
			      T2h = T2d + T2g;
			      T49 = T2d - T2g;
			      T3r = FMA(KP618033988, T3q, T3b);
			      T3t = FNMS(KP618033988, T3b, T3q);
			      T58 = T2v - T2C;
			      T2D = T2v + T2C;
			      cr[0] = T2a + T2h;
			      T48 = FNMS(KP250000000, T2h, T2a);
			      T2S = T2K + T2R;
			      T59 = T2K - T2R;
			 }
		    }
		    {
			 E T4B, T4P, T4Y, T50, T4U, T4S;
			 {
			      E T4A, T4y, T4s, T4m, T4u, T4t, T4z, T4v;
			      {
				   E T2V, T2U, T4i, T4a, T2T, T2W, T3s;
				   T4i = FNMS(KP559016994, T49, T48);
				   T4a = FMA(KP559016994, T49, T48);
				   T2T = T2D + T2S;
				   T2V = T2D - T2S;
				   ci[WS(rs, 3)] = FMA(KP951056516, T4h, T4a);
				   cr[WS(rs, 4)] = FNMS(KP951056516, T4h, T4a);
				   cr[WS(rs, 8)] = FMA(KP951056516, T4j, T4i);
				   ci[WS(rs, 7)] = FNMS(KP951056516, T4j, T4i);
				   ci[WS(rs, 4)] = T2o + T2T;
				   T2U = FNMS(KP250000000, T2T, T2o);
				   T4A = FMA(KP618033988, T4w, T4x);
				   T4y = FNMS(KP618033988, T4x, T4w);
				   T4B = T4r + T4q;
				   T4s = T4q - T4r;
				   T2W = FMA(KP559016994, T2V, T2U);
				   T3s = FNMS(KP559016994, T2V, T2U);
				   ci[WS(rs, 8)] = FMA(KP951056516, T3r, T2W);
				   ci[0] = FNMS(KP951056516, T3r, T2W);
				   cr[WS(rs, 7)] = FNMS(KP951056516, T3t, T3s);
				   cr[WS(rs, 3)] = FMA(KP951056516, T3t, T3s);
				   T4m = T4k + T4l;
				   T4u = T4l - T4k;
			      }
			      cr[WS(rs, 10)] = T4m - T4s;
			      T4t = FMA(KP250000000, T4m, T4s);
			      T4P = T4N - T4O;
			      T54 = T4O + T4N;
			      T4Y = FNMS(KP618033988, T4X, T4W);
			      T50 = FMA(KP618033988, T4W, T4X);
			      T4z = FNMS(KP559016994, T4u, T4t);
			      T4v = FMA(KP559016994, T4u, T4t);
			      ci[WS(rs, 13)] = FMA(KP951056516, T4y, T4v);
			      cr[WS(rs, 14)] = FMS(KP951056516, T4y, T4v);
			      ci[WS(rs, 17)] = FMA(KP951056516, T4A, T4z);
			      cr[WS(rs, 18)] = FMS(KP951056516, T4A, T4z);
			      T4U = T4Q - T4R;
			      T4S = T4Q + T4R;
			 }
			 {
			      E T4M, T4K, T4E, T4G, T4T, T4V, T4Z, T4F, T4L, T4H;
			      ci[WS(rs, 14)] = T4S + T4P;
			      T4T = FNMS(KP250000000, T4S, T4P);
			      T4M = FNMS(KP618033988, T4I, T4J);
			      T4K = FMA(KP618033988, T4J, T4I);
			      T4V = FNMS(KP559016994, T4U, T4T);
			      T4Z = FMA(KP559016994, T4U, T4T);
			      cr[WS(rs, 17)] = -(FMA(KP951056516, T4Y, T4V));
			      cr[WS(rs, 13)] = FMS(KP951056516, T4Y, T4V);
			      ci[WS(rs, 18)] = FNMS(KP951056516, T50, T4Z);
			      ci[WS(rs, 10)] = FMA(KP951056516, T50, T4Z);
			      T4E = T4C + T4D;
			      T4G = T4C - T4D;
			      ci[WS(rs, 19)] = T4E + T4B;
			      T4F = FNMS(KP250000000, T4E, T4B);
			      T5a = FMA(KP618033988, T59, T58);
			      T5c = FNMS(KP618033988, T58, T59);
			      T4L = FMA(KP559016994, T4G, T4F);
			      T4H = FNMS(KP559016994, T4G, T4F);
			      ci[WS(rs, 11)] = FMA(KP951056516, T4K, T4H);
			      cr[WS(rs, 12)] = FMS(KP951056516, T4K, T4H);
			      ci[WS(rs, 15)] = FMA(KP951056516, T4M, T4L);