r2cb_32.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 21:05:53 EST 2008 */

#include "codelet-rdft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_r2cb -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -n 32 -name r2cb_32 -include r2cb.h */

/*
 * This function contains 156 FP additions, 84 FP multiplications,
 * (or, 72 additions, 0 multiplications, 84 fused multiply/add),
 * 82 stack variables, 9 constants, and 64 memory accesses
 */
#include "r2cb.h"

static void r2cb_32(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP1_662939224, +1.662939224605090474157576755235811513477121624);
     DK(KP668178637, +0.668178637919298919997757686523080761552472251);
     DK(KP1_961570560, +1.961570560806460898252364472268478073947867462);
     DK(KP198912367, +0.198912367379658006911597622644676228597850501);
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     DK(KP1_847759065, +1.847759065022573512256366378793576573644833252);
     DK(KP414213562, +0.414213562373095048801688724209698078569671875);
     DK(KP1_414213562, +1.414213562373095048801688724209698078569671875);
     DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
     INT i;
     for (i = v; i > 0; i = i - 1, R0 = R0 + ovs, R1 = R1 + ovs, Cr = Cr + ivs, Ci = Ci + ivs, MAKE_VOLATILE_STRIDE(rs), MAKE_VOLATILE_STRIDE(csr), MAKE_VOLATILE_STRIDE(csi)) {
	  E T1F, T1C, T1H, T1z, T1G, T1I;
	  {
	       E T8, T1t, Tz, T1R, T5, T1S, T1u, TE, T1w, TP, T1U, Tg, T2m, T1X, T1x;
	       E TK, T1D, T1d, T20, To, T2p, T28, T1A, TW, T11, T1e, Tv, T25, T23, T2q;
	       E T16, T1f, TA, TD;
	       {
		    E T4, Ty, T1, T2, T6, T7;
		    T4 = Cr[WS(csr, 8)];
		    Ty = Ci[WS(csi, 8)];
		    T1 = Cr[0];
		    T2 = Cr[WS(csr, 16)];
		    T6 = Cr[WS(csr, 4)];
		    T7 = Cr[WS(csr, 12)];
		    {
			 E TB, Tx, T3, TC;
			 TB = Ci[WS(csi, 4)];
			 Tx = T1 - T2;
			 T3 = T1 + T2;
			 TA = T6 - T7;
			 T8 = T6 + T7;
			 TC = Ci[WS(csi, 12)];
			 T1t = FMA(KP2_000000000, Ty, Tx);
			 Tz = FNMS(KP2_000000000, Ty, Tx);
			 T1R = FNMS(KP2_000000000, T4, T3);
			 T5 = FMA(KP2_000000000, T4, T3);
			 TD = TB + TC;
			 T1S = TB - TC;
		    }
	       }
	       {
		    E Td, TG, Tc, T1V, TO, Te, TH, TI;
		    {
			 E Ta, Tb, TM, TN;
			 Ta = Cr[WS(csr, 2)];
			 T1u = TA + TD;
			 TE = TA - TD;
			 Tb = Cr[WS(csr, 14)];
			 TM = Ci[WS(csi, 2)];
			 TN = Ci[WS(csi, 14)];
			 Td = Cr[WS(csr, 10)];
			 TG = Ta - Tb;
			 Tc = Ta + Tb;
			 T1V = TM - TN;
			 TO = TM + TN;
			 Te = Cr[WS(csr, 6)];
			 TH = Ci[WS(csi, 10)];
			 TI = Ci[WS(csi, 6)];
		    }
		    {
			 E Tl, TS, Tk, T26, T1c, Tm, TT, TU;
			 {
			      E Ti, Tj, T1a, T1b;
			      Ti = Cr[WS(csr, 1)];
			      {
				   E TL, Tf, T1W, TJ;
				   TL = Td - Te;
				   Tf = Td + Te;
				   T1W = TH - TI;
				   TJ = TH + TI;
				   T1w = TO - TL;
				   TP = TL + TO;
				   T1U = Tc - Tf;
				   Tg = Tc + Tf;
				   T2m = T1W + T1V;
				   T1X = T1V - T1W;
				   T1x = TG + TJ;
				   TK = TG - TJ;
				   Tj = Cr[WS(csr, 15)];
			      }
			      T1a = Ci[WS(csi, 1)];
			      T1b = Ci[WS(csi, 15)];
			      Tl = Cr[WS(csr, 9)];
			      TS = Ti - Tj;
			      Tk = Ti + Tj;
			      T26 = T1a - T1b;
			      T1c = T1a + T1b;
			      Tm = Cr[WS(csr, 7)];
			      TT = Ci[WS(csi, 9)];
			      TU = Ci[WS(csi, 7)];
			 }
			 {
			      E Ts, TX, Tr, T22, T10, Tt, T13, T14;
			      {
				   E Tp, Tq, TY, TZ;
				   Tp = Cr[WS(csr, 5)];
				   {
					E T19, Tn, T27, TV;
					T19 = Tl - Tm;
					Tn = Tl + Tm;
					T27 = TT - TU;
					TV = TT + TU;
					T1D = T1c - T19;
					T1d = T19 + T1c;
					T20 = Tk - Tn;
					To = Tk + Tn;
					T2p = T27 + T26;
					T28 = T26 - T27;
					T1A = TS + TV;
					TW = TS - TV;
					Tq = Cr[WS(csr, 11)];
				   }
				   TY = Ci[WS(csi, 5)];
				   TZ = Ci[WS(csi, 11)];
				   Ts = Cr[WS(csr, 3)];
				   TX = Tp - Tq;
				   Tr = Tp + Tq;
				   T22 = TY - TZ;
				   T10 = TY + TZ;
				   Tt = Cr[WS(csr, 13)];
				   T13 = Ci[WS(csi, 3)];
				   T14 = Ci[WS(csi, 13)];
			      }
			      {
				   E T12, Tu, T21, T15;
				   T11 = TX - T10;
				   T1e = TX + T10;
				   T12 = Ts - Tt;
				   Tu = Ts + Tt;
				   T21 = T14 - T13;
				   T15 = T13 + T14;
				   Tv = Tr + Tu;
				   T25 = Tr - Tu;
				   T23 = T21 - T22;
				   T2q = T22 + T21;
				   T16 = T12 - T15;
				   T1f = T12 + T15;
			      }
			 }
		    }
	       }
	       {
		    E T1B, T1E, T1l, T1m, T1p, T1o, T1T, T1Y, T29, T2g, T2j, T2f, T2h, T24;
		    {
			 E T1g, T17, T2n, T2t, T2u, T2s;
			 {
			      E T2o, Tw, T2w, T2r, T2l, T9, Th, T2v;
			      T2o = To - Tv;
			      Tw = To + Tv;
			      T2w = T2q + T2p;
			      T2r = T2p - T2q;
			      T1g = T1e - T1f;
			      T1B = T1e + T1f;
			      T17 = T11 + T16;
			      T1E = T16 - T11;
			      T2l = FNMS(KP2_000000000, T8, T5);
			      T9 = FMA(KP2_000000000, T8, T5);
			      Th = FMA(KP2_000000000, Tg, T9);
			      T2v = FNMS(KP2_000000000, Tg, T9);
			      T2n = FNMS(KP2_000000000, T2m, T2l);
			      T2t = FMA(KP2_000000000, T2m, T2l);
			      R0[WS(rs, 4)] = FNMS(KP2_000000000, T2w, T2v);
			      R0[WS(rs, 12)] = FMA(KP2_000000000, T2w, T2v);
			      R0[0] = FMA(KP2_000000000, Tw, Th);
			      R0[WS(rs, 8)] = FNMS(KP2_000000000, Tw, Th);
			      T2u = T2o + T2r;
			      T2s = T2o - T2r;
			 }
			 {
			      E T1j, TR, T18, T1h, TF, TQ;
			      T1l = FNMS(KP1_414213562, TE, Tz);
			      TF = FMA(KP1_414213562, TE, Tz);
			      TQ = FNMS(KP414213562, TP, TK);
			      T1m = FMA(KP414213562, TK, TP);
			      R0[WS(rs, 2)] = FMA(KP1_414213562, T2s, T2n);
			      R0[WS(rs, 10)] = FNMS(KP1_414213562, T2s, T2n);
			      R0[WS(rs, 6)] = FNMS(KP1_414213562, T2u, T2t);
			      R0[WS(rs, 14)] = FMA(KP1_414213562, T2u, T2t);
			      T1j = FNMS(KP1_847759065, TQ, TF);
			      TR = FMA(KP1_847759065, TQ, TF);
			      T1p = FNMS(KP707106781, T17, TW);
			      T18 = FMA(KP707106781, T17, TW);
			      T1h = FMA(KP707106781, T1g, T1d);
			      T1o = FNMS(KP707106781, T1g, T1d);
			      {
				   E T2d, T2e, T1k, T1i;
				   T1T = FNMS(KP2_000000000, T1S, T1R);
				   T2d = FMA(KP2_000000000, T1S, T1R);
				   T2e = T1U + T1X;
				   T1Y = T1U - T1X;
				   T29 = T25 + T28;
				   T2g = T28 - T25;
				   T1k = FMA(KP198912367, T18, T1h);
				   T1i = FNMS(KP198912367, T1h, T18);
				   T2j = FMA(KP1_414213562, T2e, T2d);
				   T2f = FNMS(KP1_414213562, T2e, T2d);
				   R1[WS(rs, 4)] = FNMS(KP1_961570560, T1k, T1j);
				   R1[WS(rs, 12)] = FMA(KP1_961570560, T1k, T1j);
				   R1[0] = FMA(KP1_961570560, T1i, TR);
				   R1[WS(rs, 8)] = FNMS(KP1_961570560, T1i, TR);
				   T2h = T20 - T23;
				   T24 = T20 + T23;
			      }
			 }
		    }
		    {
			 E T1v, T1y, T1M, T1P, T1L, T1N;
			 {
			      E T1r, T1n, T2k, T2i;
			      T2k = FMA(KP414213562, T2g, T2h);
			      T2i = FNMS(KP414213562, T2h, T2g);
			      T1r = FMA(KP1_847759065, T1m, T1l);
			      T1n = FNMS(KP1_847759065, T1m, T1l);
			      R0[WS(rs, 7)] = FNMS(KP1_847759065, T2k, T2j);
			      R0[WS(rs, 15)] = FMA(KP1_847759065, T2k, T2j);
			      R0[WS(rs, 11)] = FMA(KP1_847759065, T2i, T2f);
			      R0[WS(rs, 3)] = FNMS(KP1_847759065, T2i, T2f);
			      {
				   E T1J, T1K, T1s, T1q;
				   T1v = FNMS(KP1_414213562, T1u, T1t);
				   T1J = FMA(KP1_414213562, T1u, T1t);
				   T1K = FMA(KP414213562, T1w, T1x);
				   T1y = FNMS(KP414213562, T1x, T1w);
				   T1F = FNMS(KP707106781, T1E, T1D);
				   T1M = FMA(KP707106781, T1E, T1D);
				   T1s = FMA(KP668178637, T1o, T1p);
				   T1q = FNMS(KP668178637, T1p, T1o);
				   T1P = FMA(KP1_847759065, T1K, T1J);
				   T1L = FNMS(KP1_847759065, T1K, T1J);
				   R1[WS(rs, 6)] = FNMS(KP1_662939224, T1s, T1r);
				   R1[WS(rs, 14)] = FMA(KP1_662939224, T1s, T1r);
				   R1[WS(rs, 10)] = FMA(KP1_662939224, T1q, T1n);
				   R1[WS(rs, 2)] = FNMS(KP1_662939224, T1q, T1n);
				   T1N = FMA(KP707106781, T1B, T1A);
				   T1C = FNMS(KP707106781, T1B, T1A);
			      }
			 }
			 {
			      E T2b, T1Z, T1Q, T1O, T2c, T2a;
			      T1Q = FMA(KP198912367, T1M, T1N);
			      T1O = FNMS(KP198912367, T1N, T1M);
			      T2b = FNMS(KP1_414213562, T1Y, T1T);
			      T1Z = FMA(KP1_414213562, T1Y, T1T);
			      R1[WS(rs, 7)] = FNMS(KP1_961570560, T1Q, T1P);
			      R1[WS(rs, 15)] = FMA(KP1_961570560, T1Q, T1P);
			      R1[WS(rs, 11)] = FMA(KP1_961570560, T1O, T1L);
			      R1[WS(rs, 3)] = FNMS(KP1_961570560, T1O, T1L);
			      T2c = FMA(KP414213562, T24, T29);
			      T2a = FNMS(KP414213562, T29, T24);
			      T1H = FMA(KP1_847759065, T1y, T1v);
			      T1z = FNMS(KP1_847759065, T1y, T1v);
			      R0[WS(rs, 5)] = FNMS(KP1_847759065, T2c, T2b);
			      R0[WS(rs, 13)] = FMA(KP1_847759065, T2c, T2b);
			      R0[WS(rs, 1)] = FMA(KP1_847759065, T2a, T1Z);
			      R0[WS(rs, 9)] = FNMS(KP1_847759065, T2a, T1Z);
			 }
		    }
	       }
	  }
	  T1G = FNMS(KP668178637, T1F, T1C);
	  T1I = FMA(KP668178637, T1C, T1F);
	  R1[WS(rs, 5)] = FNMS(KP1_662939224, T1I, T1H);
	  R1[WS(rs, 13)] = FMA(KP1_662939224, T1I, T1H);
	  R1[WS(rs, 1)] = FMA(KP1_662939224, T1G, T1z);
	  R1[WS(rs, 9)] = FNMS(KP1_662939224, T1G, T1z);
     }
}

static const kr2c_desc desc = { 32, "r2cb_32", {72, 0, 84, 0}, &GENUS };

void X(codelet_r2cb_32) (planner *p) {
     X(kr2c_register) (p, r2cb_32, &desc);
}