n1fv_16.c

快速傅立叶变换库函数

/*
 * Copyright (c) 2003, 2006 Matteo Frigo
 * Copyright (c) 2003, 2006 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 Oct  4 10:25:23 EDT 2008 */

#include "codelet-dft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_notw_c -fma -reorder-insns -schedule-for-pipeline -simd -compact -variables 4 -pipeline-latency 8 -n 16 -name n1fv_16 -include n1f.h */

/*
 * This function contains 72 FP additions, 34 FP multiplications,
 * (or, 38 additions, 0 multiplications, 34 fused multiply/add),
 * 54 stack variables, and 32 memory accesses
 */
/*
 * Generator Id's : 
 * $Id: algsimp.ml,v 1.9 2006-02-12 23:34:12 athena Exp $
 * $Id: fft.ml,v 1.4 2006-01-05 03:04:27 stevenj Exp $
 * $Id: gen_notw_c.ml,v 1.17 2006-02-12 23:34:12 athena Exp $
 */

#include "n1f.h"

static void n1fv_16(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DVK(KP923879532, +0.923879532511286756128183189396788286822416626);
     DVK(KP414213562, +0.414213562373095048801688724209698078569671875);
     DVK(KP707106781, +0.707106781186547524400844362104849039284835938);
     INT i;
     const R *xi;
     R *xo;
     xi = ri;
     xo = ro;
     for (i = v; i > 0; i = i - VL, xi = xi + (VL * ivs), xo = xo + (VL * ovs), MAKE_VOLATILE_STRIDE(is), MAKE_VOLATILE_STRIDE(os)) {
	  V T7, Tu, TF, TB, T13, TL, TO, TX, TC, Te, TP, Th, TQ, Tk, TW;
	  V T16;
	  {
	       V TH, TU, Tz, Tf, TK, TV, TA, TM, Ta, TN, Td, Tg, Ti, Tj;
	       {
		    V T1, T2, T4, T5, To, Tp, Tr, Ts;
		    T1 = LD(&(xi[0]), ivs, &(xi[0]));
		    T2 = LD(&(xi[WS(is, 8)]), ivs, &(xi[0]));
		    T4 = LD(&(xi[WS(is, 4)]), ivs, &(xi[0]));
		    T5 = LD(&(xi[WS(is, 12)]), ivs, &(xi[0]));
		    To = LD(&(xi[WS(is, 14)]), ivs, &(xi[0]));
		    Tp = LD(&(xi[WS(is, 6)]), ivs, &(xi[0]));
		    Tr = LD(&(xi[WS(is, 2)]), ivs, &(xi[0]));
		    Ts = LD(&(xi[WS(is, 10)]), ivs, &(xi[0]));
		    {
			 V T8, TJ, Tq, TI, Tt, T9, Tb, Tc, T3, T6;
			 T8 = LD(&(xi[WS(is, 1)]), ivs, &(xi[WS(is, 1)]));
			 TH = VSUB(T1, T2);
			 T3 = VADD(T1, T2);
			 TU = VSUB(T4, T5);
			 T6 = VADD(T4, T5);
			 TJ = VSUB(To, Tp);
			 Tq = VADD(To, Tp);
			 TI = VSUB(Tr, Ts);
			 Tt = VADD(Tr, Ts);
			 T9 = LD(&(xi[WS(is, 9)]), ivs, &(xi[WS(is, 1)]));
			 Tb = LD(&(xi[WS(is, 5)]), ivs, &(xi[WS(is, 1)]));
			 Tc = LD(&(xi[WS(is, 13)]), ivs, &(xi[WS(is, 1)]));
			 T7 = VSUB(T3, T6);
			 Tz = VADD(T3, T6);
			 Tf = LD(&(xi[WS(is, 15)]), ivs, &(xi[WS(is, 1)]));
			 TK = VADD(TI, TJ);
			 TV = VSUB(TJ, TI);
			 TA = VADD(Tt, Tq);
			 Tu = VSUB(Tq, Tt);
			 TM = VSUB(T8, T9);
			 Ta = VADD(T8, T9);
			 TN = VSUB(Tb, Tc);
			 Td = VADD(Tb, Tc);
			 Tg = LD(&(xi[WS(is, 7)]), ivs, &(xi[WS(is, 1)]));
			 Ti = LD(&(xi[WS(is, 3)]), ivs, &(xi[WS(is, 1)]));
			 Tj = LD(&(xi[WS(is, 11)]), ivs, &(xi[WS(is, 1)]));
		    }
	       }
	       TF = VSUB(Tz, TA);
	       TB = VADD(Tz, TA);
	       T13 = VFNMS(LDK(KP707106781), TK, TH);
	       TL = VFMA(LDK(KP707106781), TK, TH);
	       TO = VFNMS(LDK(KP414213562), TN, TM);
	       TX = VFMA(LDK(KP414213562), TM, TN);
	       TC = VADD(Ta, Td);
	       Te = VSUB(Ta, Td);
	       TP = VSUB(Tf, Tg);
	       Th = VADD(Tf, Tg);
	       TQ = VSUB(Tj, Ti);
	       Tk = VADD(Ti, Tj);
	       TW = VFNMS(LDK(KP707106781), TV, TU);
	       T16 = VFMA(LDK(KP707106781), TV, TU);
	  }
	  {
	       V TY, TR, Tl, TD;
	       TY = VFMA(LDK(KP414213562), TP, TQ);
	       TR = VFNMS(LDK(KP414213562), TQ, TP);
	       Tl = VSUB(Th, Tk);
	       TD = VADD(Th, Tk);
	       {
		    V TS, T17, TZ, T14;
		    TS = VADD(TO, TR);
		    T17 = VSUB(TR, TO);
		    TZ = VSUB(TX, TY);
		    T14 = VADD(TX, TY);
		    {
			 V TE, TG, Tm, Tv;
			 TE = VADD(TC, TD);
			 TG = VSUB(TD, TC);
			 Tm = VADD(Te, Tl);
			 Tv = VSUB(Tl, Te);
			 {
			      V T18, T1a, TT, T11;
			      T18 = VFNMS(LDK(KP923879532), T17, T16);
			      T1a = VFMA(LDK(KP923879532), T17, T16);
			      TT = VFNMS(LDK(KP923879532), TS, TL);
			      T11 = VFMA(LDK(KP923879532), TS, TL);
			      {
				   V T15, T19, T10, T12;
				   T15 = VFNMS(LDK(KP923879532), T14, T13);
				   T19 = VFMA(LDK(KP923879532), T14, T13);
				   T10 = VFNMS(LDK(KP923879532), TZ, TW);
				   T12 = VFMA(LDK(KP923879532), TZ, TW);
				   ST(&(xo[WS(os, 4)]), VFMAI(TG, TF), ovs, &(xo[0]));
				   ST(&(xo[WS(os, 12)]), VFNMSI(TG, TF), ovs, &(xo[0]));
				   ST(&(xo[0]), VADD(TB, TE), ovs, &(xo[0]));
				   ST(&(xo[WS(os, 8)]), VSUB(TB, TE), ovs, &(xo[0]));
				   {
					V Tw, Ty, Tn, Tx;
					Tw = VFNMS(LDK(KP707106781), Tv, Tu);
					Ty = VFMA(LDK(KP707106781), Tv, Tu);
					Tn = VFNMS(LDK(KP707106781), Tm, T7);
					Tx = VFMA(LDK(KP707106781), Tm, T7);
					ST(&(xo[WS(os, 3)]), VFMAI(T1a, T19), ovs, &(xo[WS(os, 1)]));
					ST(&(xo[WS(os, 13)]), VFNMSI(T1a, T19), ovs, &(xo[WS(os, 1)]));
					ST(&(xo[WS(os, 11)]), VFMAI(T18, T15), ovs, &(xo[WS(os, 1)]));
					ST(&(xo[WS(os, 5)]), VFNMSI(T18, T15), ovs, &(xo[WS(os, 1)]));
					ST(&(xo[WS(os, 1)]), VFNMSI(T12, T11), ovs, &(xo[WS(os, 1)]));
					ST(&(xo[WS(os, 15)]), VFMAI(T12, T11), ovs, &(xo[WS(os, 1)]));
					ST(&(xo[WS(os, 7)]), VFMAI(T10, TT), ovs, &(xo[WS(os, 1)]));
					ST(&(xo[WS(os, 9)]), VFNMSI(T10, TT), ovs, &(xo[WS(os, 1)]));
					ST(&(xo[WS(os, 14)]), VFNMSI(Ty, Tx), ovs, &(xo[0]));
					ST(&(xo[WS(os, 2)]), VFMAI(Ty, Tx), ovs, &(xo[0]));
					ST(&(xo[WS(os, 10)]), VFMAI(Tw, Tn), ovs, &(xo[0]));
					ST(&(xo[WS(os, 6)]), VFNMSI(Tw, Tn), ovs, &(xo[0]));
				   }
			      }
			 }
		    }
	       }
	  }
     }
}

static const kdft_desc desc = { 16, "n1fv_16", {38, 0, 34, 0}, &GENUS, 0, 0, 0, 0 };

void X(codelet_n1fv_16) (planner *p) {
     X(kdft_register) (p, n1fv_16, &desc);
}

#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_notw_c -simd -compact -variables 4 -pipeline-latency 8 -n 16 -name n1fv_16 -include n1f.h */

/*
 * This function contains 72 FP additions, 12 FP multiplications,
 * (or, 68 additions, 8 multiplications, 4 fused multiply/add),
 * 30 stack variables, and 32 memory accesses
 */
/*
 * Generator Id's : 
 * $Id: algsimp.ml,v 1.9 2006-02-12 23:34:12 athena Exp $
 * $Id: fft.ml,v 1.4 2006-01-05 03:04:27 stevenj Exp $
 * $Id: gen_notw_c.ml,v 1.17 2006-02-12 23:34:12 athena Exp $
 */

#include "n1f.h"

static void n1fv_16(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DVK(KP923879532, +0.923879532511286756128183189396788286822416626);
     DVK(KP382683432, +0.382683432365089771728459984030398866761344562);
     DVK(KP707106781, +0.707106781186547524400844362104849039284835938);
     INT i;
     const R *xi;
     R *xo;
     xi = ri;
     xo = ro;
     for (i = v; i > 0; i = i - VL, xi = xi + (VL * ivs), xo = xo + (VL * ovs), MAKE_VOLATILE_STRIDE(is), MAKE_VOLATILE_STRIDE(os)) {
	  V Tp, T13, Tu, TN, Tm, T14, Tv, TY, T7, T17, Ty, TT, Te, T16, Tx;
	  V TQ;
	  {
	       V Tn, To, TM, Ts, Tt, TL;
	       Tn = LD(&(xi[WS(is, 4)]), ivs, &(xi[0]));
	       To = LD(&(xi[WS(is, 12)]), ivs, &(xi[0]));
	       TM = VADD(Tn, To);
	       Ts = LD(&(xi[0]), ivs, &(xi[0]));
	       Tt = LD(&(xi[WS(is, 8)]), ivs, &(xi[0]));
	       TL = VADD(Ts, Tt);
	       Tp = VSUB(Tn, To);
	       T13 = VADD(TL, TM);
	       Tu = VSUB(Ts, Tt);
	       TN = VSUB(TL, TM);
	  }
	  {
	       V Ti, TW, Tl, TX;
	       {
		    V Tg, Th, Tj, Tk;
		    Tg = LD(&(xi[WS(is, 14)]), ivs, &(xi[0]));
		    Th = LD(&(xi[WS(is, 6)]), ivs, &(xi[0]));
		    Ti = VSUB(Tg, Th);
		    TW = VADD(Tg, Th);
		    Tj = LD(&(xi[WS(is, 2)]), ivs, &(xi[0]));
		    Tk = LD(&(xi[WS(is, 10)]), ivs, &(xi[0]));
		    Tl = VSUB(Tj, Tk);
		    TX = VADD(Tj, Tk);
	       }
	       Tm = VMUL(LDK(KP707106781), VSUB(Ti, Tl));
	       T14 = VADD(TX, TW);
	       Tv = VMUL(LDK(KP707106781), VADD(Tl, Ti));
	       TY = VSUB(TW, TX);
	  }
	  {
	       V T3, TR, T6, TS;
	       {
		    V T1, T2, T4, T5;
		    T1 = LD(&(xi[WS(is, 15)]), ivs, &(xi[WS(is, 1)]));
		    T2 = LD(&(xi[WS(is, 7)]), ivs, &(xi[WS(is, 1)]));
		    T3 = VSUB(T1, T2);
		    TR = VADD(T1, T2);
		    T4 = LD(&(xi[WS(is, 3)]), ivs, &(xi[WS(is, 1)]));
		    T5 = LD(&(xi[WS(is, 11)]), ivs, &(xi[WS(is, 1)]));
		    T6 = VSUB(T4, T5);
		    TS = VADD(T4, T5);
	       }
	       T7 = VFNMS(LDK(KP923879532), T6, VMUL(LDK(KP382683432), T3));
	       T17 = VADD(TR, TS);
	       Ty = VFMA(LDK(KP923879532), T3, VMUL(LDK(KP382683432), T6));
	       TT = VSUB(TR, TS);
	  }
	  {
	       V Ta, TO, Td, TP;
	       {
		    V T8, T9, Tb, Tc;
		    T8 = LD(&(xi[WS(is, 1)]), ivs, &(xi[WS(is, 1)]));
		    T9 = LD(&(xi[WS(is, 9)]), ivs, &(xi[WS(is, 1)]));
		    Ta = VSUB(T8, T9);
		    TO = VADD(T8, T9);
		    Tb = LD(&(xi[WS(is, 5)]), ivs, &(xi[WS(is, 1)]));
		    Tc = LD(&(xi[WS(is, 13)]), ivs, &(xi[WS(is, 1)]));
		    Td = VSUB(Tb, Tc);
		    TP = VADD(Tb, Tc);
	       }
	       Te = VFMA(LDK(KP382683432), Ta, VMUL(LDK(KP923879532), Td));
	       T16 = VADD(TO, TP);
	       Tx = VFNMS(LDK(KP382683432), Td, VMUL(LDK(KP923879532), Ta));
	       TQ = VSUB(TO, TP);
	  }
	  {
	       V T15, T18, T19, T1a;
	       T15 = VADD(T13, T14);
	       T18 = VADD(T16, T17);
	       ST(&(xo[WS(os, 8)]), VSUB(T15, T18), ovs, &(xo[0]));
	       ST(&(xo[0]), VADD(T15, T18), ovs, &(xo[0]));
	       T19 = VSUB(T13, T14);
	       T1a = VBYI(VSUB(T17, T16));
	       ST(&(xo[WS(os, 12)]), VSUB(T19, T1a), ovs, &(xo[0]));
	       ST(&(xo[WS(os, 4)]), VADD(T19, T1a), ovs, &(xo[0]));
	  }
	  {
	       V TV, T11, T10, T12, TU, TZ;
	       TU = VMUL(LDK(KP707106781), VADD(TQ, TT));
	       TV = VADD(TN, TU);
	       T11 = VSUB(TN, TU);
	       TZ = VMUL(LDK(KP707106781), VSUB(TT, TQ));
	       T10 = VBYI(VADD(TY, TZ));
	       T12 = VBYI(VSUB(TZ, TY));
	       ST(&(xo[WS(os, 14)]), VSUB(TV, T10), ovs, &(xo[0]));
	       ST(&(xo[WS(os, 6)]), VADD(T11, T12), ovs, &(xo[0]));
	       ST(&(xo[WS(os, 2)]), VADD(TV, T10), ovs, &(xo[0]));
	       ST(&(xo[WS(os, 10)]), VSUB(T11, T12), ovs, &(xo[0]));
	  }
	  {
	       V Tr, TB, TA, TC;
	       {
		    V Tf, Tq, Tw, Tz;
		    Tf = VSUB(T7, Te);
		    Tq = VSUB(Tm, Tp);
		    Tr = VBYI(VSUB(Tf, Tq));
		    TB = VBYI(VADD(Tq, Tf));
		    Tw = VADD(Tu, Tv);
		    Tz = VADD(Tx, Ty);
		    TA = VSUB(Tw, Tz);
		    TC = VADD(Tw, Tz);
	       }
	       ST(&(xo[WS(os, 7)]), VADD(Tr, TA), ovs, &(xo[WS(os, 1)]));
	       ST(&(xo[WS(os, 15)]), VSUB(TC, TB), ovs, &(xo[WS(os, 1)]));
	       ST(&(xo[WS(os, 9)]), VSUB(TA, Tr), ovs, &(xo[WS(os, 1)]));
	       ST(&(xo[WS(os, 1)]), VADD(TB, TC), ovs, &(xo[WS(os, 1)]));
	  }
	  {
	       V TF, TJ, TI, TK;
	       {
		    V TD, TE, TG, TH;
		    TD = VSUB(Tu, Tv);
		    TE = VADD(Te, T7);
		    TF = VADD(TD, TE);
		    TJ = VSUB(TD, TE);
		    TG = VADD(Tp, Tm);
		    TH = VSUB(Ty, Tx);
		    TI = VBYI(VADD(TG, TH));
		    TK = VBYI(VSUB(TH, TG));
	       }
	       ST(&(xo[WS(os, 13)]), VSUB(TF, TI), ovs, &(xo[WS(os, 1)]));
	       ST(&(xo[WS(os, 5)]), VADD(TJ, TK), ovs, &(xo[WS(os, 1)]));
	       ST(&(xo[WS(os, 3)]), VADD(TF, TI), ovs, &(xo[WS(os, 1)]));
	       ST(&(xo[WS(os, 11)]), VSUB(TJ, TK), ovs, &(xo[WS(os, 1)]));
	  }
     }
}

static const kdft_desc desc = { 16, "n1fv_16", {68, 8, 4, 0}, &GENUS, 0, 0, 0, 0 };

void X(codelet_n1fv_16) (planner *p) {
     X(kdft_register) (p, n1fv_16, &desc);
}

#endif				/* HAVE_FMA */