r2cf_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 20:56:03 EST 2008 */

#include "codelet-rdft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_r2cf -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 20 -name r2cf_20 -include r2cf.h */

/*
 * This function contains 86 FP additions, 32 FP multiplications,
 * (or, 58 additions, 4 multiplications, 28 fused multiply/add),
 * 70 stack variables, 4 constants, and 40 memory accesses
 */
#include "r2cf.h"

static void r2cf_20(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DK(KP618033988, +0.618033988749894848204586834365638117720309180);
     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
     INT i;
     for (i = v; i > 0; i = i - 1, R0 = R0 + ivs, R1 = R1 + ivs, Cr = Cr + ovs, Ci = Ci + ovs, MAKE_VOLATILE_STRIDE(rs), MAKE_VOLATILE_STRIDE(csr), MAKE_VOLATILE_STRIDE(csi)) {
	  E T1i, T1c, T1a, T1o, T1m, T1h, T1b, T13, T1j, T1n;
	  {
	       E T3, T1d, TJ, TV, T1k, T16, T19, T1l, Ty, Ti, T12, TD, T1g, TR, TX;
	       E TK, Tt, TU, TW, TL, TE;
	       {
		    E T1, T2, TG, TH;
		    T1 = R0[0];
		    T2 = R0[WS(rs, 5)];
		    TG = R1[WS(rs, 2)];
		    TH = R1[WS(rs, 7)];
		    {
			 E T6, To, T17, Tx, T18, TC, Tj, T9, Tp, Tu, Td, T15, Tm, Tq, Te;
			 E Tf;
			 {
			      E TA, TB, T7, T8;
			      {
				   E T4, TF, TI, T5, Tv, Tw;
				   T4 = R0[WS(rs, 2)];
				   T3 = T1 - T2;
				   TF = T1 + T2;
				   T1d = TG - TH;
				   TI = TG + TH;
				   T5 = R0[WS(rs, 7)];
				   Tv = R1[WS(rs, 6)];
				   Tw = R1[WS(rs, 1)];
				   TJ = TF - TI;
				   TV = TF + TI;
				   T6 = T4 - T5;
				   To = T4 + T5;
				   T17 = Tw - Tv;
				   Tx = Tv + Tw;
			      }
			      TA = R1[WS(rs, 8)];
			      TB = R1[WS(rs, 3)];
			      T7 = R0[WS(rs, 8)];
			      T8 = R0[WS(rs, 3)];
			      {
				   E Tb, Tc, Tk, Tl;
				   Tb = R0[WS(rs, 4)];
				   T18 = TB - TA;
				   TC = TA + TB;
				   Tj = T7 + T8;
				   T9 = T7 - T8;
				   Tc = R0[WS(rs, 9)];
				   Tk = R1[0];
				   Tl = R1[WS(rs, 5)];
				   Tp = R1[WS(rs, 4)];
				   Tu = Tb + Tc;
				   Td = Tb - Tc;
				   T15 = Tl - Tk;
				   Tm = Tk + Tl;
				   Tq = R1[WS(rs, 9)];
				   Te = R0[WS(rs, 6)];
				   Tf = R0[WS(rs, 1)];
			      }
			 }
			 {
			      E Ta, Tr, Tz, T1e, T1f, Th, T14, Tg, TP, TQ;
			      Ta = T6 + T9;
			      T1k = T6 - T9;
			      T14 = Tq - Tp;
			      Tr = Tp + Tq;
			      Tz = Te + Tf;
			      Tg = Te - Tf;
			      T16 = T14 - T15;
			      T1e = T14 + T15;
			      T1f = T17 + T18;
			      T19 = T17 - T18;
			      Th = Td + Tg;
			      T1l = Td - Tg;
			      Ty = Tu - Tx;
			      TP = Tu + Tx;
			      Ti = Ta + Th;
			      T12 = Ta - Th;
			      TD = Tz - TC;
			      TQ = Tz + TC;
			      T1g = T1e + T1f;
			      T1i = T1e - T1f;
			      {
				   E TT, Tn, Ts, TS;
				   TT = Tj + Tm;
				   Tn = Tj - Tm;
				   Ts = To - Tr;
				   TS = To + Tr;
				   TR = TP - TQ;
				   TX = TP + TQ;
				   TK = Ts + Tn;
				   Tt = Tn - Ts;
				   TU = TS - TT;
				   TW = TS + TT;
			      }
			 }
		    }
	       }
	       Cr[WS(csr, 5)] = T3 + Ti;
	       Ci[WS(csi, 5)] = T1g - T1d;
	       TL = Ty + TD;
	       TE = Ty - TD;
	       {
		    E TY, T10, TM, TO, T11, TZ, TN;
		    TY = TW + TX;
		    T10 = TW - TX;
		    Ci[WS(csi, 2)] = KP951056516 * (FMA(KP618033988, Tt, TE));
		    Ci[WS(csi, 6)] = KP951056516 * (FNMS(KP618033988, TE, Tt));
		    Ci[WS(csi, 4)] = KP951056516 * (FMA(KP618033988, TR, TU));
		    Ci[WS(csi, 8)] = -(KP951056516 * (FNMS(KP618033988, TU, TR)));
		    TM = TK + TL;
		    TO = TK - TL;
		    T1c = FNMS(KP618033988, T16, T19);
		    T1a = FMA(KP618033988, T19, T16);
		    Cr[0] = TV + TY;
		    TZ = FNMS(KP250000000, TY, TV);
		    Cr[WS(csr, 10)] = TJ + TM;
		    TN = FNMS(KP250000000, TM, TJ);
		    Cr[WS(csr, 8)] = FNMS(KP559016994, T10, TZ);
		    Cr[WS(csr, 4)] = FMA(KP559016994, T10, TZ);
		    Cr[WS(csr, 6)] = FMA(KP559016994, TO, TN);
		    Cr[WS(csr, 2)] = FNMS(KP559016994, TO, TN);
		    T11 = FNMS(KP250000000, Ti, T3);
		    T1o = FNMS(KP618033988, T1k, T1l);
		    T1m = FMA(KP618033988, T1l, T1k);
		    T1h = FMA(KP250000000, T1g, T1d);
		    T1b = FNMS(KP559016994, T12, T11);
		    T13 = FMA(KP559016994, T12, T11);
	       }
	  }
	  Cr[WS(csr, 3)] = FNMS(KP951056516, T1c, T1b);
	  Cr[WS(csr, 7)] = FMA(KP951056516, T1c, T1b);
	  Cr[WS(csr, 1)] = FMA(KP951056516, T1a, T13);
	  Cr[WS(csr, 9)] = FNMS(KP951056516, T1a, T13);
	  T1j = FNMS(KP559016994, T1i, T1h);
	  T1n = FMA(KP559016994, T1i, T1h);
	  Ci[WS(csi, 3)] = FNMS(KP951056516, T1o, T1n);
	  Ci[WS(csi, 7)] = FMA(KP951056516, T1o, T1n);
	  Ci[WS(csi, 9)] = FMS(KP951056516, T1m, T1j);
	  Ci[WS(csi, 1)] = -(FMA(KP951056516, T1m, T1j));
     }
}

static const kr2c_desc desc = { 20, "r2cf_20", {58, 4, 28, 0}, &GENUS };

void X(codelet_r2cf_20) (planner *p) {
     X(kr2c_register) (p, r2cf_20, &desc);
}

#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_r2cf -compact -variables 4 -pipeline-latency 4 -n 20 -name r2cf_20 -include r2cf.h */

/*
 * This function contains 86 FP additions, 24 FP multiplications,
 * (or, 74 additions, 12 multiplications, 12 fused multiply/add),
 * 51 stack variables, 4 constants, and 40 memory accesses
 */
#include "r2cf.h"

static void r2cf_20(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
     DK(KP587785252, +0.587785252292473129168705954639072768597652438);
     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
     INT i;
     for (i = v; i > 0; i = i - 1, R0 = R0 + ivs, R1 = R1 + ivs, Cr = Cr + ovs, Ci = Ci + ovs, MAKE_VOLATILE_STRIDE(rs), MAKE_VOLATILE_STRIDE(csr), MAKE_VOLATILE_STRIDE(csi)) {
	  E T3, T1m, TF, T17, Ts, TM, TN, Tz, Ta, Th, Ti, T1g, T1h, T1k, T10;
	  E T13, T19, TG, TH, TI, T1d, T1e, T1j, TT, TW, T18;
	  {
	       E T1, T2, T15, TD, TE, T16;
	       T1 = R0[0];
	       T2 = R0[WS(rs, 5)];
	       T15 = T1 + T2;
	       TD = R1[WS(rs, 7)];
	       TE = R1[WS(rs, 2)];
	       T16 = TE + TD;
	       T3 = T1 - T2;
	       T1m = T15 + T16;
	       TF = TD - TE;
	       T17 = T15 - T16;
	  }
	  {
	       E T6, TU, Tv, T12, Ty, TZ, T9, TR, Td, TY, To, TS, Tr, TV, Tg;
	       E T11;
	       {
		    E T4, T5, Tt, Tu;
		    T4 = R0[WS(rs, 2)];
		    T5 = R0[WS(rs, 7)];
		    T6 = T4 - T5;
		    TU = T4 + T5;
		    Tt = R1[WS(rs, 8)];
		    Tu = R1[WS(rs, 3)];
		    Tv = Tt - Tu;
		    T12 = Tt + Tu;
	       }
	       {
		    E Tw, Tx, T7, T8;
		    Tw = R1[WS(rs, 6)];
		    Tx = R1[WS(rs, 1)];
		    Ty = Tw - Tx;
		    TZ = Tw + Tx;
		    T7 = R0[WS(rs, 8)];
		    T8 = R0[WS(rs, 3)];
		    T9 = T7 - T8;
		    TR = T7 + T8;
	       }
	       {
		    E Tb, Tc, Tm, Tn;
		    Tb = R0[WS(rs, 4)];
		    Tc = R0[WS(rs, 9)];
		    Td = Tb - Tc;
		    TY = Tb + Tc;
		    Tm = R1[0];
		    Tn = R1[WS(rs, 5)];
		    To = Tm - Tn;
		    TS = Tm + Tn;
	       }
	       {
		    E Tp, Tq, Te, Tf;
		    Tp = R1[WS(rs, 4)];
		    Tq = R1[WS(rs, 9)];
		    Tr = Tp - Tq;
		    TV = Tp + Tq;
		    Te = R0[WS(rs, 6)];
		    Tf = R0[WS(rs, 1)];
		    Tg = Te - Tf;
		    T11 = Te + Tf;
	       }
	       Ts = To - Tr;
	       TM = T6 - T9;
	       TN = Td - Tg;
	       Tz = Tv - Ty;
	       Ta = T6 + T9;
	       Th = Td + Tg;
	       Ti = Ta + Th;
	       T1g = TY + TZ;
	       T1h = T11 + T12;
	       T1k = T1g + T1h;
	       T10 = TY - TZ;
	       T13 = T11 - T12;
	       T19 = T10 + T13;
	       TG = Tr + To;
	       TH = Ty + Tv;
	       TI = TG + TH;
	       T1d = TU + TV;
	       T1e = TR + TS;
	       T1j = T1d + T1e;
	       TT = TR - TS;
	       TW = TU - TV;
	       T18 = TW + TT;
	  }
	  Cr[WS(csr, 5)] = T3 + Ti;
	  Ci[WS(csi, 5)] = TF - TI;
	  {
	       E TX, T14, T1f, T1i;
	       TX = TT - TW;
	       T14 = T10 - T13;
	       Ci[WS(csi, 6)] = FNMS(KP587785252, T14, KP951056516 * TX);
	       Ci[WS(csi, 2)] = FMA(KP587785252, TX, KP951056516 * T14);
	       T1f = T1d - T1e;
	       T1i = T1g - T1h;
	       Ci[WS(csi, 8)] = FNMS(KP951056516, T1i, KP587785252 * T1f);
	       Ci[WS(csi, 4)] = FMA(KP951056516, T1f, KP587785252 * T1i);
	  }
	  {
	       E T1l, T1n, T1o, T1c, T1a, T1b;
	       T1l = KP559016994 * (T1j - T1k);
	       T1n = T1j + T1k;
	       T1o = FNMS(KP250000000, T1n, T1m);
	       Cr[WS(csr, 4)] = T1l + T1o;
	       Cr[0] = T1m + T1n;
	       Cr[WS(csr, 8)] = T1o - T1l;
	       T1c = KP559016994 * (T18 - T19);
	       T1a = T18 + T19;
	       T1b = FNMS(KP250000000, T1a, T17);
	       Cr[WS(csr, 2)] = T1b - T1c;
	       Cr[WS(csr, 10)] = T17 + T1a;
	       Cr[WS(csr, 6)] = T1c + T1b;
	  }
	  {
	       E TA, TC, Tl, TB, Tj, Tk;
	       TA = FMA(KP951056516, Ts, KP587785252 * Tz);
	       TC = FNMS(KP587785252, Ts, KP951056516 * Tz);
	       Tj = KP559016994 * (Ta - Th);
	       Tk = FNMS(KP250000000, Ti, T3);
	       Tl = Tj + Tk;
	       TB = Tk - Tj;
	       Cr[WS(csr, 9)] = Tl - TA;
	       Cr[WS(csr, 7)] = TB + TC;
	       Cr[WS(csr, 1)] = Tl + TA;
	       Cr[WS(csr, 3)] = TB - TC;
	  }
	  {
	       E TO, TQ, TL, TP, TJ, TK;
	       TO = FMA(KP951056516, TM, KP587785252 * TN);
	       TQ = FNMS(KP587785252, TM, KP951056516 * TN);
	       TJ = FMA(KP250000000, TI, TF);
	       TK = KP559016994 * (TH - TG);
	       TL = TJ + TK;
	       TP = TK - TJ;
	       Ci[WS(csi, 1)] = TL - TO;
	       Ci[WS(csi, 7)] = TQ + TP;
	       Ci[WS(csi, 9)] = TO + TL;
	       Ci[WS(csi, 3)] = TP - TQ;
	  }
     }
}

static const kr2c_desc desc = { 20, "r2cf_20", {74, 12, 12, 0}, &GENUS };

void X(codelet_r2cf_20) (planner *p) {
     X(kr2c_register) (p, r2cf_20, &desc);
}

#endif				/* HAVE_FMA */