annotate src/fftw-3.3.3/rdft/scalar/r2cf/r2cf_16.c @ 10:37bf6b4a2645

Add FFTW3

/*
 * Copyright (c) 2003, 2007-11 Matteo Frigo
 * Copyright (c) 2003, 2007-11 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., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 *
 */

/* This file was automatically generated --- DO NOT EDIT */
/* Generated on Sun Nov 25 07:39:47 EST 2012 */

#include "codelet-rdft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_r2cf.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 16 -name r2cf_16 -include r2cf.h */

/*
 * This function contains 58 FP additions, 20 FP multiplications,
 * (or, 38 additions, 0 multiplications, 20 fused multiply/add),
 * 38 stack variables, 3 constants, and 32 memory accesses
 */
#include "r2cf.h"

static void r2cf_16(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP923879532, +0.923879532511286756128183189396788286822416626);
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     DK(KP414213562, +0.414213562373095048801688724209698078569671875);
     {
	  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(64, rs), MAKE_VOLATILE_STRIDE(64, csr), MAKE_VOLATILE_STRIDE(64, csi)) {
	       E TQ, TP;
	       {
		    E TB, TN, Tf, T7, Te, Tv, TO, TE, Tq, TJ, Tp, TI, TT, Ty, Tm;
		    E Tr, TK, Ts;
		    {
			 E TC, Ta, Td, TD;
			 {
			      E T1, T2, T4, T5;
			      T1 = R0[0];
			      T2 = R0[WS(rs, 4)];
			      T4 = R0[WS(rs, 2)];
			      T5 = R0[WS(rs, 6)];
			      {
				   E T8, T3, T6, T9, Tb, Tc;
				   T8 = R0[WS(rs, 1)];
				   TB = T1 - T2;
				   T3 = T1 + T2;
				   TN = T4 - T5;
				   T6 = T4 + T5;
				   T9 = R0[WS(rs, 5)];
				   Tb = R0[WS(rs, 7)];
				   Tc = R0[WS(rs, 3)];
				   Tf = T3 - T6;
				   T7 = T3 + T6;
				   TC = T8 - T9;
				   Ta = T8 + T9;
				   Td = Tb + Tc;
				   TD = Tb - Tc;
			      }
			 }
			 {
			      E TG, Ti, Tj, Tk, Tg, Th;
			      Tg = R1[0];
			      Th = R1[WS(rs, 4)];
			      Te = Ta + Td;
			      Tv = Td - Ta;
			      TO = TD - TC;
			      TE = TC + TD;
			      TG = Tg - Th;
			      Ti = Tg + Th;
			      Tj = R1[WS(rs, 2)];
			      Tk = R1[WS(rs, 6)];
			      {
				   E Tn, To, TH, Tl;
				   Tn = R1[WS(rs, 7)];
				   To = R1[WS(rs, 3)];
				   Tq = R1[WS(rs, 1)];
				   TH = Tj - Tk;
				   Tl = Tj + Tk;
				   TJ = Tn - To;
				   Tp = Tn + To;
				   TI = FNMS(KP414213562, TH, TG);
				   TT = FMA(KP414213562, TG, TH);
				   Ty = Ti + Tl;
				   Tm = Ti - Tl;
				   Tr = R1[WS(rs, 5)];
			      }
			 }
		    }
		    Cr[WS(csr, 4)] = T7 - Te;
		    TK = Tr - Tq;
		    Ts = Tq + Tr;
		    {
			 E Tx, TV, TF, TS, Tz, Tt, TM, TL;
			 Tx = T7 + Te;
			 TV = FNMS(KP707106781, TE, TB);
			 TF = FMA(KP707106781, TE, TB);
			 TL = FNMS(KP414213562, TK, TJ);
			 TS = FMA(KP414213562, TJ, TK);
			 Tz = Tp + Ts;
			 Tt = Tp - Ts;
			 TM = TI + TL;
			 TQ = TL - TI;
			 {
			      E TR, TU, TW, TA, Tw, Tu;
			      TP = FMA(KP707106781, TO, TN);
			      TR = FNMS(KP707106781, TO, TN);
			      TA = Ty + Tz;
			      Ci[WS(csi, 4)] = Tz - Ty;
			      Tw = Tt - Tm;
			      Tu = Tm + Tt;
			      Cr[WS(csr, 1)] = FMA(KP923879532, TM, TF);
			      Cr[WS(csr, 7)] = FNMS(KP923879532, TM, TF);
			      Cr[0] = Tx + TA;
			      Cr[WS(csr, 8)] = Tx - TA;
			      Ci[WS(csi, 6)] = FMS(KP707106781, Tw, Tv);
			      Ci[WS(csi, 2)] = FMA(KP707106781, Tw, Tv);
			      Cr[WS(csr, 2)] = FMA(KP707106781, Tu, Tf);
			      Cr[WS(csr, 6)] = FNMS(KP707106781, Tu, Tf);
			      TU = TS - TT;
			      TW = TT + TS;
			      Ci[WS(csi, 7)] = FMA(KP923879532, TU, TR);
			      Ci[WS(csi, 1)] = FMS(KP923879532, TU, TR);
			      Cr[WS(csr, 3)] = FMA(KP923879532, TW, TV);
			      Cr[WS(csr, 5)] = FNMS(KP923879532, TW, TV);
			 }
		    }
	       }
	       Ci[WS(csi, 5)] = FMS(KP923879532, TQ, TP);
	       Ci[WS(csi, 3)] = FMA(KP923879532, TQ, TP);
	  }
     }
}

static const kr2c_desc desc = { 16, "r2cf_16", {38, 0, 20, 0}, &GENUS };

void X(codelet_r2cf_16) (planner *p) {
     X(kr2c_register) (p, r2cf_16, &desc);
}

#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_r2cf.native -compact -variables 4 -pipeline-latency 4 -n 16 -name r2cf_16 -include r2cf.h */

/*
 * This function contains 58 FP additions, 12 FP multiplications,
 * (or, 54 additions, 8 multiplications, 4 fused multiply/add),
 * 34 stack variables, 3 constants, and 32 memory accesses
 */
#include "r2cf.h"

static void r2cf_16(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
{
     DK(KP923879532, +0.923879532511286756128183189396788286822416626);
     DK(KP382683432, +0.382683432365089771728459984030398866761344562);
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     {
	  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(64, rs), MAKE_VOLATILE_STRIDE(64, csr), MAKE_VOLATILE_STRIDE(64, csi)) {
	       E T3, T6, T7, Tz, Ti, Ta, Td, Te, TA, Th, Tq, TV, TF, TP, Tx;
	       E TU, TE, TM, Tg, Tf, TJ, TQ;
	       {
		    E T1, T2, T4, T5;
		    T1 = R0[0];
		    T2 = R0[WS(rs, 4)];
		    T3 = T1 + T2;
		    T4 = R0[WS(rs, 2)];
		    T5 = R0[WS(rs, 6)];
		    T6 = T4 + T5;
		    T7 = T3 + T6;
		    Tz = T1 - T2;
		    Ti = T4 - T5;
	       }
	       {
		    E T8, T9, Tb, Tc;
		    T8 = R0[WS(rs, 1)];
		    T9 = R0[WS(rs, 5)];
		    Ta = T8 + T9;
		    Tg = T8 - T9;
		    Tb = R0[WS(rs, 7)];
		    Tc = R0[WS(rs, 3)];
		    Td = Tb + Tc;
		    Tf = Tb - Tc;
	       }
	       Te = Ta + Td;
	       TA = KP707106781 * (Tg + Tf);
	       Th = KP707106781 * (Tf - Tg);
	       {
		    E Tm, TN, Tp, TO;
		    {
			 E Tk, Tl, Tn, To;
			 Tk = R1[WS(rs, 7)];
			 Tl = R1[WS(rs, 3)];
			 Tm = Tk - Tl;
			 TN = Tk + Tl;
			 Tn = R1[WS(rs, 1)];
			 To = R1[WS(rs, 5)];
			 Tp = Tn - To;
			 TO = Tn + To;
		    }
		    Tq = FNMS(KP923879532, Tp, KP382683432 * Tm);
		    TV = TN + TO;
		    TF = FMA(KP923879532, Tm, KP382683432 * Tp);
		    TP = TN - TO;
	       }
	       {
		    E Tt, TK, Tw, TL;
		    {
			 E Tr, Ts, Tu, Tv;
			 Tr = R1[0];
			 Ts = R1[WS(rs, 4)];
			 Tt = Tr - Ts;
			 TK = Tr + Ts;
			 Tu = R1[WS(rs, 2)];
			 Tv = R1[WS(rs, 6)];
			 Tw = Tu - Tv;
			 TL = Tu + Tv;
		    }
		    Tx = FMA(KP382683432, Tt, KP923879532 * Tw);
		    TU = TK + TL;
		    TE = FNMS(KP382683432, Tw, KP923879532 * Tt);
		    TM = TK - TL;
	       }
	       Cr[WS(csr, 4)] = T7 - Te;
	       Ci[WS(csi, 4)] = TV - TU;
	       {
		    E Tj, Ty, TD, TG;
		    Tj = Th - Ti;
		    Ty = Tq - Tx;
		    Ci[WS(csi, 1)] = Tj + Ty;
		    Ci[WS(csi, 7)] = Ty - Tj;
		    TD = Tz + TA;
		    TG = TE + TF;
		    Cr[WS(csr, 7)] = TD - TG;
		    Cr[WS(csr, 1)] = TD + TG;
	       }
	       {
		    E TB, TC, TH, TI;
		    TB = Tz - TA;
		    TC = Tx + Tq;
		    Cr[WS(csr, 5)] = TB - TC;
		    Cr[WS(csr, 3)] = TB + TC;
		    TH = Ti + Th;
		    TI = TF - TE;
		    Ci[WS(csi, 3)] = TH + TI;
		    Ci[WS(csi, 5)] = TI - TH;
	       }
	       TJ = T3 - T6;
	       TQ = KP707106781 * (TM + TP);
	       Cr[WS(csr, 6)] = TJ - TQ;
	       Cr[WS(csr, 2)] = TJ + TQ;
	       {
		    E TR, TS, TT, TW;
		    TR = Td - Ta;
		    TS = KP707106781 * (TP - TM);
		    Ci[WS(csi, 2)] = TR + TS;
		    Ci[WS(csi, 6)] = TS - TR;
		    TT = T7 + Te;
		    TW = TU + TV;
		    Cr[WS(csr, 8)] = TT - TW;
		    Cr[0] = TT + TW;
	       }
	  }
     }
}

static const kr2c_desc desc = { 16, "r2cf_16", {54, 8, 4, 0}, &GENUS };

void X(codelet_r2cf_16) (planner *p) {
     X(kr2c_register) (p, r2cf_16, &desc);
}

#endif				/* HAVE_FMA */