r2cbiii_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 21:09:42 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 20 -name r2cbIII_20 -dft-III -include r2cbIII.h */

/*
 * This function contains 94 FP additions, 56 FP multiplications,
 * (or, 58 additions, 20 multiplications, 36 fused multiply/add),
 * 59 stack variables, 6 constants, and 40 memory accesses
 */
#include "r2cbIII.h"

static void r2cbIII_20(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP1_414213562, +1.414213562373095048801688724209698078569671875);
     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
     DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DK(KP618033988, +0.618033988749894848204586834365638117720309180);
     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 TZ, TD, TW, Tw, Tt, TF, T1f, T1b;
	  {
	       E T1l, Tk, T9, Tj, Ta, TV, TI, Ts, TU, T1t, T11, Tx, T13, TC, T1a;
	       E T1i, Th, Tv, Ty;
	       {
		    E TQ, TS, Tr, Tm, Tn;
		    {
			 E T1, T5, T6, T2, T3, T7, TY;
			 T1 = Cr[WS(csr, 2)];
			 T5 = Cr[WS(csr, 9)];
			 T6 = Cr[WS(csr, 5)];
			 T2 = Cr[WS(csr, 6)];
			 T3 = Cr[WS(csr, 1)];
			 TQ = Ci[WS(csi, 2)];
			 T7 = T5 + T6;
			 TY = T5 - T6;
			 {
			      E T4, TX, T8, Tp, Tq;
			      T4 = T2 + T3;
			      TX = T2 - T3;
			      Tp = Ci[WS(csi, 5)];
			      Tq = Ci[WS(csi, 9)];
			      T1l = FNMS(KP618033988, TX, TY);
			      TZ = FMA(KP618033988, TY, TX);
			      Tk = T4 - T7;
			      T8 = T4 + T7;
			      TS = Tp + Tq;
			      Tr = Tp - Tq;
			      T9 = T1 + T8;
			      Tj = FNMS(KP250000000, T8, T1);
			      Tm = Ci[WS(csi, 6)];
			      Tn = Ci[WS(csi, 1)];
			 }
		    }
		    {
			 E Tb, T19, Tg, Tc;
			 Ta = Cr[WS(csr, 7)];
			 {
			      E Te, Tf, To, TR, TT;
			      Te = Cr[0];
			      Tf = Cr[WS(csr, 4)];
			      To = Tm + Tn;
			      TR = Tm - Tn;
			      Tb = Cr[WS(csr, 3)];
			      T19 = Te - Tf;
			      Tg = Te + Tf;
			      TT = TR - TS;
			      TV = TR + TS;
			      TI = FNMS(KP618033988, To, Tr);
			      Ts = FMA(KP618033988, Tr, To);
			      TU = FNMS(KP250000000, TT, TQ);
			      T1t = TT + TQ;
			      Tc = Cr[WS(csr, 8)];
			 }
			 T11 = Ci[WS(csi, 7)];
			 {
			      E TA, TB, Td, T18;
			      TA = Ci[WS(csi, 4)];
			      TB = Ci[0];
			      Td = Tb + Tc;
			      T18 = Tb - Tc;
			      Tx = Ci[WS(csi, 3)];
			      T13 = TB + TA;
			      TC = TA - TB;
			      T1a = FMA(KP618033988, T19, T18);
			      T1i = FNMS(KP618033988, T18, T19);
			      Th = Td + Tg;
			      Tv = Td - Tg;
			      Ty = Ci[WS(csi, 8)];
			 }
		    }
	       }
	       {
		    E Tu, T1w, T16, TL, T15, T1u;
		    {
			 E Ti, T12, Tz, T14;
			 Tu = FNMS(KP250000000, Th, Ta);
			 Ti = Ta + Th;
			 T12 = Tx - Ty;
			 Tz = Tx + Ty;
			 T1w = T9 - Ti;
			 T14 = T12 - T13;
			 T16 = T12 + T13;
			 TL = FNMS(KP618033988, Tz, TC);
			 TD = FMA(KP618033988, TC, Tz);
			 T15 = FNMS(KP250000000, T14, T11);
			 T1u = T14 + T11;
			 R0[0] = KP2_000000000 * (T9 + Ti);
		    }
		    {
			 E Tl, TJ, TN, T1q, T1m, TK, T1h, T17, TH, T1k, T1v;
			 Tl = FMA(KP559016994, Tk, Tj);
			 TH = FNMS(KP559016994, Tk, Tj);
			 T1k = FNMS(KP559016994, TV, TU);
			 TW = FMA(KP559016994, TV, TU);
			 R0[WS(rs, 5)] = KP2_000000000 * (T1u - T1t);
			 T1v = T1t + T1u;
			 TJ = FNMS(KP951056516, TI, TH);
			 TN = FMA(KP951056516, TI, TH);
			 T1q = FMA(KP951056516, T1l, T1k);
			 T1m = FNMS(KP951056516, T1l, T1k);
			 R1[WS(rs, 7)] = KP1_414213562 * (T1w + T1v);
			 R1[WS(rs, 2)] = KP1_414213562 * (T1v - T1w);
			 Tw = FMA(KP559016994, Tv, Tu);
			 TK = FNMS(KP559016994, Tv, Tu);
			 T1h = FNMS(KP559016994, T16, T15);
			 T17 = FMA(KP559016994, T16, T15);
			 {
			      E TM, TO, T1j, T1r;
			      TM = FMA(KP951056516, TL, TK);
			      TO = FNMS(KP951056516, TL, TK);
			      T1j = FMA(KP951056516, T1i, T1h);
			      T1r = FNMS(KP951056516, T1i, T1h);
			      Tt = FNMS(KP951056516, Ts, Tl);
			      TF = FMA(KP951056516, Ts, Tl);
			      {
				   E T1n, T1p, T1s, T1o;
				   T1n = TN - TO;
				   R0[WS(rs, 6)] = -(KP2_000000000 * (TN + TO));
				   T1p = TM - TJ;
				   R0[WS(rs, 4)] = KP2_000000000 * (TJ + TM);
				   T1s = T1q + T1r;
				   R0[WS(rs, 9)] = KP2_000000000 * (T1r - T1q);
				   T1o = T1m + T1j;
				   R0[WS(rs, 1)] = KP2_000000000 * (T1j - T1m);
				   R1[WS(rs, 6)] = KP1_414213562 * (T1p + T1s);
				   R1[WS(rs, 1)] = KP1_414213562 * (T1p - T1s);
				   R1[WS(rs, 3)] = KP1_414213562 * (T1n + T1o);
				   R1[WS(rs, 8)] = KP1_414213562 * (T1n - T1o);
				   T1f = FMA(KP951056516, T1a, T17);
				   T1b = FNMS(KP951056516, T1a, T17);
			      }
			 }
		    }
	       }
	  }
	  {
	       E TE, TG, T10, T1e;
	       TE = FMA(KP951056516, TD, Tw);
	       TG = FNMS(KP951056516, TD, Tw);
	       T10 = FMA(KP951056516, TZ, TW);
	       T1e = FNMS(KP951056516, TZ, TW);
	       {
		    E T1d, TP, T1g, T1c;
		    T1d = TF - TG;
		    R0[WS(rs, 2)] = -(KP2_000000000 * (TF + TG));
		    TP = Tt - TE;
		    R0[WS(rs, 8)] = KP2_000000000 * (Tt + TE);
		    T1g = T1e + T1f;
		    R0[WS(rs, 7)] = KP2_000000000 * (T1e - T1f);
		    T1c = T10 + T1b;
		    R0[WS(rs, 3)] = KP2_000000000 * (T10 - T1b);
		    R1[WS(rs, 9)] = -(KP1_414213562 * (T1d + T1g));
		    R1[WS(rs, 4)] = KP1_414213562 * (T1d - T1g);
		    R1[WS(rs, 5)] = -(KP1_414213562 * (TP + T1c));
		    R1[0] = KP1_414213562 * (TP - T1c);
	       }
	  }
     }
}

static const kr2c_desc desc = { 20, "r2cbIII_20", {58, 20, 36, 0}, &GENUS };

void X(codelet_r2cbIII_20) (planner *p) {
     X(kr2c_register) (p, r2cbIII_20, &desc);
}

#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_r2cb -compact -variables 4 -pipeline-latency 4 -sign 1 -n 20 -name r2cbIII_20 -dft-III -include r2cbIII.h */

/*
 * This function contains 94 FP additions, 44 FP multiplications,
 * (or, 82 additions, 32 multiplications, 12 fused multiply/add),
 * 43 stack variables, 6 constants, and 40 memory accesses
 */
#include "r2cbIII.h"

static void r2cbIII_20(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP1_414213562, +1.414213562373095048801688724209698078569671875);
     DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
     DK(KP587785252, +0.587785252292473129168705954639072768597652438);
     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
     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 T1, Tj, T1k, T13, T8, Tk, T17, Ts, T16, TI, T18, T19, Ta, Tu, T1i;
	  E TS, Th, Tv, TX, TD, TV, TL, TW, TY;
	  {
	       E T7, T12, T4, T11;
	       T1 = Cr[WS(csr, 2)];
	       {
		    E T5, T6, T2, T3;
		    T5 = Cr[WS(csr, 9)];
		    T6 = Cr[WS(csr, 5)];
		    T7 = T5 + T6;
		    T12 = T5 - T6;
		    T2 = Cr[WS(csr, 6)];
		    T3 = Cr[WS(csr, 1)];
		    T4 = T2 + T3;
		    T11 = T2 - T3;
	       }
	       Tj = KP559016994 * (T4 - T7);
	       T1k = FNMS(KP951056516, T12, KP587785252 * T11);
	       T13 = FMA(KP951056516, T11, KP587785252 * T12);
	       T8 = T4 + T7;
	       Tk = FNMS(KP250000000, T8, T1);
	  }
	  {
	       E Tr, T15, To, T14;
	       T17 = Ci[WS(csi, 2)];
	       {
		    E Tp, Tq, Tm, Tn;
		    Tp = Ci[WS(csi, 5)];
		    Tq = Ci[WS(csi, 9)];
		    Tr = Tp - Tq;
		    T15 = Tp + Tq;
		    Tm = Ci[WS(csi, 6)];
		    Tn = Ci[WS(csi, 1)];
		    To = Tm + Tn;
		    T14 = Tm - Tn;
	       }
	       Ts = FMA(KP951056516, To, KP587785252 * Tr);
	       T16 = KP559016994 * (T14 + T15);
	       TI = FNMS(KP951056516, Tr, KP587785252 * To);
	       T18 = T14 - T15;
	       T19 = FNMS(KP250000000, T18, T17);
	  }
	  {
	       E Tg, TR, Td, TQ;
	       Ta = Cr[WS(csr, 7)];
	       {
		    E Te, Tf, Tb, Tc;
		    Te = Cr[0];
		    Tf = Cr[WS(csr, 4)];
		    Tg = Te + Tf;
		    TR = Te - Tf;
		    Tb = Cr[WS(csr, 3)];
		    Tc = Cr[WS(csr, 8)];
		    Td = Tb + Tc;
		    TQ = Tb - Tc;
	       }
	       Tu = KP559016994 * (Td - Tg);
	       T1i = FNMS(KP951056516, TR, KP587785252 * TQ);
	       TS = FMA(KP951056516, TQ, KP587785252 * TR);
	       Th = Td + Tg;
	       Tv = FNMS(KP250000000, Th, Ta);
	  }
	  {
	       E TC, TU, Tz, TT;
	       TX = Ci[WS(csi, 7)];
	       {
		    E TA, TB, Tx, Ty;
		    TA = Ci[WS(csi, 4)];
		    TB = Ci[0];
		    TC = TA - TB;
		    TU = TB + TA;
		    Tx = Ci[WS(csi, 3)];
		    Ty = Ci[WS(csi, 8)];
		    Tz = Tx + Ty;
		    TT = Ty - Tx;
	       }
	       TD = FMA(KP951056516, Tz, KP587785252 * TC);
	       TV = KP559016994 * (TT - TU);
	       TL = FNMS(KP587785252, Tz, KP951056516 * TC);
	       TW = TT + TU;
	       TY = FMA(KP250000000, TW, TX);
	  }
	  {
	       E T9, Ti, T1w, T1t, T1u, T1v;
	       T9 = T1 + T8;
	       Ti = Ta + Th;
	       T1w = T9 - Ti;
	       T1t = T18 + T17;
	       T1u = TX - TW;
	       T1v = T1t + T1u;
	       R0[0] = KP2_000000000 * (T9 + Ti);
	       R0[WS(rs, 5)] = KP2_000000000 * (T1u - T1t);
	       R1[WS(rs, 2)] = KP1_414213562 * (T1v - T1w);
	       R1[WS(rs, 7)] = KP1_414213562 * (T1w + T1v);
	  }
	  {
	       E TJ, TO, T1m, T1q, TM, TN, T1j, T1r;
	       {
		    E TH, T1l, TK, T1h;
		    TH = Tk - Tj;
		    TJ = TH + TI;
		    TO = TH - TI;
		    T1l = T19 - T16;
		    T1m = T1k + T1l;
		    T1q = T1l - T1k;
		    TK = Tv - Tu;
		    TM = TK + TL;
		    TN = TL - TK;
		    T1h = TV + TY;
		    T1j = T1h - T1i;
		    T1r = T1i + T1h;
	       }
	       R0[WS(rs, 4)] = KP2_000000000 * (TJ + TM);
	       R0[WS(rs, 6)] = KP2_000000000 * (TN - TO);
	       R0[WS(rs, 9)] = KP2_000000000 * (T1r - T1q);
	       R0[WS(rs, 1)] = KP2_000000000 * (T1j - T1m);
	       {
		    E T1p, T1s, T1n, T1o;
		    T1p = TM - TJ;
		    T1s = T1q + T1r;
		    R1[WS(rs, 1)] = KP1_414213562 * (T1p - T1s);
		    R1[WS(rs, 6)] = KP1_414213562 * (T1p + T1s);
		    T1n = TO + TN;
		    T1o = T1m + T1j;
		    R1[WS(rs, 8)] = KP1_414213562 * (T1n - T1o);
		    R1[WS(rs, 3)] = KP1_414213562 * (T1n + T1o);
	       }
	  }
	  {
	       E Tt, TG, T1b, T1f, TE, TF, T10, T1e;
	       {
		    E Tl, T1a, Tw, TZ;
		    Tl = Tj + Tk;
		    Tt = Tl - Ts;
		    TG = Tl + Ts;
		    T1a = T16 + T19;
		    T1b = T13 + T1a;
		    T1f = T1a - T13;
		    Tw = Tu + Tv;
		    TE = Tw + TD;
		    TF = TD - Tw;
		    TZ = TV - TY;
		    T10 = TS + TZ;
		    T1e = TZ - TS;
	       }
	       R0[WS(rs, 8)] = KP2_000000000 * (Tt + TE);
	       R0[WS(rs, 2)] = KP2_000000000 * (TF - TG);
	       R0[WS(rs, 7)] = KP2_000000000 * (T1f + T1e);
	       R0[WS(rs, 3)] = KP2_000000000 * (T1b + T10);
	       {
		    E T1d, T1g, TP, T1c;
		    T1d = TG + TF;
		    T1g = T1e - T1f;
		    R1[WS(rs, 4)] = KP1_414213562 * (T1d + T1g);
		    R1[WS(rs, 9)] = KP1_414213562 * (T1g - T1d);
		    TP = Tt - TE;
		    T1c = T10 - T1b;
		    R1[0] = KP1_414213562 * (TP + T1c);
		    R1[WS(rs, 5)] = KP1_414213562 * (T1c - TP);
	       }
	  }
     }
}

static const kr2c_desc desc = { 20, "r2cbIII_20", {82, 32, 12, 0}, &GENUS };

void X(codelet_r2cbIII_20) (planner *p) {
     X(kr2c_register) (p, r2cbIII_20, &desc);
}

#endif				/* HAVE_FMA */