n2fv_12.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 10:25:33 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 12 -name n2fv_12 -with-ostride 2 -include n2f.h -store-multiple 2 */

/*
 * This function contains 48 FP additions, 20 FP multiplications,
 * (or, 30 additions, 2 multiplications, 18 fused multiply/add),
 * 61 stack variables, and 30 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 "n2f.h"

static void n2fv_12(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DVK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DVK(KP500000000, +0.500000000000000000000000000000000000000000000);
     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 T1, T6, Tk, Tn, Tc, Td, Tf, Tr, T4, Ts, T9, Tg, Te, Tl;
	  {
	       V T2, T3, T7, T8;
	       T1 = LD(&(xi[0]), ivs, &(xi[0]));
	       T6 = LD(&(xi[WS(is, 6)]), ivs, &(xi[0]));
	       T2 = LD(&(xi[WS(is, 4)]), ivs, &(xi[0]));
	       T3 = LD(&(xi[WS(is, 8)]), ivs, &(xi[0]));
	       T7 = LD(&(xi[WS(is, 10)]), ivs, &(xi[0]));
	       T8 = LD(&(xi[WS(is, 2)]), ivs, &(xi[0]));
	       Tk = LD(&(xi[WS(is, 3)]), ivs, &(xi[WS(is, 1)]));
	       Tn = LD(&(xi[WS(is, 9)]), ivs, &(xi[WS(is, 1)]));
	       Tc = LD(&(xi[WS(is, 11)]), ivs, &(xi[WS(is, 1)]));
	       Td = LD(&(xi[WS(is, 7)]), ivs, &(xi[WS(is, 1)]));
	       Tf = LD(&(xi[WS(is, 1)]), ivs, &(xi[WS(is, 1)]));
	       Tr = VSUB(T3, T2);
	       T4 = VADD(T2, T3);
	       Ts = VSUB(T8, T7);
	       T9 = VADD(T7, T8);
	       Tg = LD(&(xi[WS(is, 5)]), ivs, &(xi[WS(is, 1)]));
	  }
	  Te = VSUB(Tc, Td);
	  Tl = VADD(Td, Tc);
	  {
	       V T5, TF, TB, Tt, Ta, TG, Th, To, Tm, TI;
	       T5 = VFNMS(LDK(KP500000000), T4, T1);
	       TF = VADD(T1, T4);
	       TB = VADD(Tr, Ts);
	       Tt = VSUB(Tr, Ts);
	       Ta = VFNMS(LDK(KP500000000), T9, T6);
	       TG = VADD(T6, T9);
	       Th = VSUB(Tf, Tg);
	       To = VADD(Tf, Tg);
	       Tm = VFNMS(LDK(KP500000000), Tl, Tk);
	       TI = VADD(Tk, Tl);
	       {
		    V TH, TL, Tb, Tx, TJ, Tp, Ti, TA;
		    TH = VSUB(TF, TG);
		    TL = VADD(TF, TG);
		    Tb = VSUB(T5, Ta);
		    Tx = VADD(T5, Ta);
		    TJ = VADD(Tn, To);
		    Tp = VFNMS(LDK(KP500000000), To, Tn);
		    Ti = VADD(Te, Th);
		    TA = VSUB(Te, Th);
		    {
			 V Tq, Ty, TK, TM;
			 Tq = VSUB(Tm, Tp);
			 Ty = VADD(Tm, Tp);
			 TK = VSUB(TI, TJ);
			 TM = VADD(TI, TJ);
			 {
			      V TC, TE, Tj, Tv;
			      TC = VMUL(LDK(KP866025403), VSUB(TA, TB));
			      TE = VMUL(LDK(KP866025403), VADD(TB, TA));
			      Tj = VFMA(LDK(KP866025403), Ti, Tb);
			      Tv = VFNMS(LDK(KP866025403), Ti, Tb);
			      {
				   V Tz, TD, Tu, Tw;
				   Tz = VSUB(Tx, Ty);
				   TD = VADD(Tx, Ty);
				   Tu = VFNMS(LDK(KP866025403), Tt, Tq);
				   Tw = VFMA(LDK(KP866025403), Tt, Tq);
				   {
					V TN, TO, TP, TQ;
					TN = VADD(TL, TM);
					STM2(&(xo[0]), TN, ovs, &(xo[0]));
					TO = VSUB(TL, TM);
					STM2(&(xo[12]), TO, ovs, &(xo[0]));
					TP = VFMAI(TK, TH);
					STM2(&(xo[6]), TP, ovs, &(xo[2]));
					TQ = VFNMSI(TK, TH);
					STM2(&(xo[18]), TQ, ovs, &(xo[2]));
					{
					     V TR, TS, TT, TU;
					     TR = VFMAI(TE, TD);
					     STM2(&(xo[8]), TR, ovs, &(xo[0]));
					     TS = VFNMSI(TE, TD);
					     STM2(&(xo[16]), TS, ovs, &(xo[0]));
					     STN2(&(xo[16]), TS, TQ, ovs);
					     TT = VFNMSI(TC, Tz);
					     STM2(&(xo[20]), TT, ovs, &(xo[0]));
					     TU = VFMAI(TC, Tz);
					     STM2(&(xo[4]), TU, ovs, &(xo[0]));
					     STN2(&(xo[4]), TU, TP, ovs);
					     {
						  V TV, TW, TX, TY;
						  TV = VFNMSI(Tw, Tv);
						  STM2(&(xo[10]), TV, ovs, &(xo[2]));
						  STN2(&(xo[8]), TR, TV, ovs);
						  TW = VFMAI(Tw, Tv);
						  STM2(&(xo[14]), TW, ovs, &(xo[2]));
						  STN2(&(xo[12]), TO, TW, ovs);
						  TX = VFMAI(Tu, Tj);
						  STM2(&(xo[22]), TX, ovs, &(xo[2]));
						  STN2(&(xo[20]), TT, TX, ovs);
						  TY = VFNMSI(Tu, Tj);
						  STM2(&(xo[2]), TY, ovs, &(xo[2]));
						  STN2(&(xo[0]), TN, TY, ovs);
					     }
					}
				   }
			      }
			 }
		    }
	       }
	  }
     }
}

static const kdft_desc desc = { 12, "n2fv_12", {30, 2, 18, 0}, &GENUS, 0, 2, 0, 0 };

void X(codelet_n2fv_12) (planner *p) {
     X(kdft_register) (p, n2fv_12, &desc);
}

#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_notw_c -simd -compact -variables 4 -pipeline-latency 8 -n 12 -name n2fv_12 -with-ostride 2 -include n2f.h -store-multiple 2 */

/*
 * This function contains 48 FP additions, 8 FP multiplications,
 * (or, 44 additions, 4 multiplications, 4 fused multiply/add),
 * 33 stack variables, and 30 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 "n2f.h"

static void n2fv_12(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DVK(KP500000000, +0.500000000000000000000000000000000000000000000);
     DVK(KP866025403, +0.866025403784438646763723170752936183471402627);
     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 T5, Ta, TJ, Ty, Tq, Tp, Tg, Tl, TI, TA, Tz, Tu;
	  {
	       V T1, T6, T4, Tw, T9, Tx;
	       T1 = LD(&(xi[0]), ivs, &(xi[0]));
	       T6 = LD(&(xi[WS(is, 6)]), ivs, &(xi[0]));
	       {
		    V T2, T3, T7, T8;
		    T2 = LD(&(xi[WS(is, 4)]), ivs, &(xi[0]));
		    T3 = LD(&(xi[WS(is, 8)]), ivs, &(xi[0]));
		    T4 = VADD(T2, T3);
		    Tw = VSUB(T3, T2);
		    T7 = LD(&(xi[WS(is, 10)]), ivs, &(xi[0]));
		    T8 = LD(&(xi[WS(is, 2)]), ivs, &(xi[0]));
		    T9 = VADD(T7, T8);
		    Tx = VSUB(T8, T7);
	       }
	       T5 = VADD(T1, T4);
	       Ta = VADD(T6, T9);
	       TJ = VADD(Tw, Tx);
	       Ty = VMUL(LDK(KP866025403), VSUB(Tw, Tx));
	       Tq = VFNMS(LDK(KP500000000), T9, T6);
	       Tp = VFNMS(LDK(KP500000000), T4, T1);
	  }
	  {
	       V Tc, Th, Tf, Ts, Tk, Tt;
	       Tc = LD(&(xi[WS(is, 3)]), ivs, &(xi[WS(is, 1)]));
	       Th = LD(&(xi[WS(is, 9)]), ivs, &(xi[WS(is, 1)]));
	       {
		    V Td, Te, Ti, Tj;
		    Td = LD(&(xi[WS(is, 7)]), ivs, &(xi[WS(is, 1)]));
		    Te = LD(&(xi[WS(is, 11)]), ivs, &(xi[WS(is, 1)]));
		    Tf = VADD(Td, Te);
		    Ts = VSUB(Te, Td);
		    Ti = LD(&(xi[WS(is, 1)]), ivs, &(xi[WS(is, 1)]));
		    Tj = LD(&(xi[WS(is, 5)]), ivs, &(xi[WS(is, 1)]));
		    Tk = VADD(Ti, Tj);
		    Tt = VSUB(Tj, Ti);
	       }
	       Tg = VADD(Tc, Tf);
	       Tl = VADD(Th, Tk);
	       TI = VADD(Ts, Tt);
	       TA = VFNMS(LDK(KP500000000), Tk, Th);
	       Tz = VFNMS(LDK(KP500000000), Tf, Tc);
	       Tu = VMUL(LDK(KP866025403), VSUB(Ts, Tt));
	  }
	  {
	       V TN, TO, TP, TQ, TR, TS;
	       {
		    V Tb, Tm, Tn, To;
		    Tb = VSUB(T5, Ta);
		    Tm = VBYI(VSUB(Tg, Tl));
		    TN = VSUB(Tb, Tm);
		    STM2(&(xo[18]), TN, ovs, &(xo[2]));
		    TO = VADD(Tb, Tm);
		    STM2(&(xo[6]), TO, ovs, &(xo[2]));
		    Tn = VADD(T5, Ta);
		    To = VADD(Tg, Tl);
		    TP = VSUB(Tn, To);
		    STM2(&(xo[12]), TP, ovs, &(xo[0]));
		    TQ = VADD(Tn, To);
		    STM2(&(xo[0]), TQ, ovs, &(xo[0]));
	       }
	       {
		    V Tv, TE, TC, TD, Tr, TB, TT, TU;
		    Tr = VSUB(Tp, Tq);
		    Tv = VSUB(Tr, Tu);
		    TE = VADD(Tr, Tu);
		    TB = VSUB(Tz, TA);
		    TC = VBYI(VADD(Ty, TB));
		    TD = VBYI(VSUB(Ty, TB));
		    TR = VSUB(Tv, TC);
		    STM2(&(xo[10]), TR, ovs, &(xo[2]));
		    TS = VSUB(TE, TD);
		    STM2(&(xo[22]), TS, ovs, &(xo[2]));
		    TT = VADD(TC, Tv);
		    STM2(&(xo[14]), TT, ovs, &(xo[2]));
		    STN2(&(xo[12]), TP, TT, ovs);
		    TU = VADD(TD, TE);
		    STM2(&(xo[2]), TU, ovs, &(xo[2]));
		    STN2(&(xo[0]), TQ, TU, ovs);
	       }
	       {
		    V TK, TM, TH, TL, TF, TG;
		    TK = VBYI(VMUL(LDK(KP866025403), VSUB(TI, TJ)));
		    TM = VBYI(VMUL(LDK(KP866025403), VADD(TJ, TI)));
		    TF = VADD(Tp, Tq);
		    TG = VADD(Tz, TA);
		    TH = VSUB(TF, TG);
		    TL = VADD(TF, TG);
		    {
			 V TV, TW, TX, TY;
			 TV = VSUB(TH, TK);
			 STM2(&(xo[20]), TV, ovs, &(xo[0]));
			 STN2(&(xo[20]), TV, TS, ovs);
			 TW = VADD(TL, TM);
			 STM2(&(xo[8]), TW, ovs, &(xo[0]));
			 STN2(&(xo[8]), TW, TR, ovs);
			 TX = VADD(TH, TK);
			 STM2(&(xo[4]), TX, ovs, &(xo[0]));
			 STN2(&(xo[4]), TX, TO, ovs);
			 TY = VSUB(TL, TM);
			 STM2(&(xo[16]), TY, ovs, &(xo[0]));
			 STN2(&(xo[16]), TY, TN, ovs);
		    }
	       }
	  }
     }
}

static const kdft_desc desc = { 12, "n2fv_12", {44, 4, 4, 0}, &GENUS, 0, 2, 0, 0 };

void X(codelet_n2fv_12) (planner *p) {
     X(kdft_register) (p, n2fv_12, &desc);
}

#endif				/* HAVE_FMA */