annotate src/fftw-3.3.3/dft/scalar/codelets/n1_12.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 07:35:43 EST 2012 */

#include "codelet-dft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_notw.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 12 -name n1_12 -include n.h */

/*
 * This function contains 96 FP additions, 24 FP multiplications,
 * (or, 72 additions, 0 multiplications, 24 fused multiply/add),
 * 63 stack variables, 2 constants, and 48 memory accesses
 */
#include "n.h"

static void n1_12(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     {
	  INT i;
	  for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(48, is), MAKE_VOLATILE_STRIDE(48, os)) {
	       E TT, TW, TF, T1q, TY, TQ, TX, T1n;
	       {
		    E TA, TS, TR, T5, Ts, Tz, TD, TV, TU, Ta, Tx, TC, T1d, Th, TJ;
		    E TG, Tg, T1u, T1c, T1f, TM, TN, Tk, T1i;
		    {
			 E T6, Tt, Tu, Tv, T9;
			 {
			      E T1, To, Tp, Tq, T4, T2, T3, T7, T8, Tr;
			      T1 = ri[0];
			      T2 = ri[WS(is, 4)];
			      T3 = ri[WS(is, 8)];
			      To = ii[0];
			      Tp = ii[WS(is, 4)];
			      Tq = ii[WS(is, 8)];
			      T4 = T2 + T3;
			      TA = T3 - T2;
			      T6 = ri[WS(is, 6)];
			      TS = Tp - Tq;
			      Tr = Tp + Tq;
			      TR = FNMS(KP500000000, T4, T1);
			      T5 = T1 + T4;
			      T7 = ri[WS(is, 10)];
			      Ts = To + Tr;
			      Tz = FNMS(KP500000000, Tr, To);
			      T8 = ri[WS(is, 2)];
			      Tt = ii[WS(is, 6)];
			      Tu = ii[WS(is, 10)];
			      Tv = ii[WS(is, 2)];
			      T9 = T7 + T8;
			      TD = T8 - T7;
			 }
			 {
			      E Tc, T1a, TH, TI, Tf, Td, Te, Tw, Ti, Tj, T1b;
			      Tc = ri[WS(is, 3)];
			      TV = Tu - Tv;
			      Tw = Tu + Tv;
			      TU = FNMS(KP500000000, T9, T6);
			      Ta = T6 + T9;
			      Td = ri[WS(is, 7)];
			      Tx = Tt + Tw;
			      TC = FNMS(KP500000000, Tw, Tt);
			      Te = ri[WS(is, 11)];
			      T1a = ii[WS(is, 3)];
			      TH = ii[WS(is, 7)];
			      TI = ii[WS(is, 11)];
			      Tf = Td + Te;
			      T1d = Te - Td;
			      Th = ri[WS(is, 9)];
			      TJ = TH - TI;
			      T1b = TH + TI;
			      TG = FNMS(KP500000000, Tf, Tc);
			      Tg = Tc + Tf;
			      Ti = ri[WS(is, 1)];
			      T1u = T1a + T1b;
			      T1c = FNMS(KP500000000, T1b, T1a);
			      Tj = ri[WS(is, 5)];
			      T1f = ii[WS(is, 9)];
			      TM = ii[WS(is, 1)];
			      TN = ii[WS(is, 5)];
			      Tk = Ti + Tj;
			      T1i = Tj - Ti;
			 }
		    }
		    {
			 E T1t, TO, TL, T1h, T1w, Tb, T1g, Tl;
			 T1t = T5 - Ta;
			 Tb = T5 + Ta;
			 TO = TM - TN;
			 T1g = TM + TN;
			 TL = FNMS(KP500000000, Tk, Th);
			 Tl = Th + Tk;
			 {
			      E T1x, Ty, T1v, Tn, Tm, T1y;
			      T1x = Ts + Tx;
			      Ty = Ts - Tx;
			      T1v = T1f + T1g;
			      T1h = FNMS(KP500000000, T1g, T1f);
			      Tn = Tg - Tl;
			      Tm = Tg + Tl;
			      T1y = T1u + T1v;
			      T1w = T1u - T1v;
			      ro[0] = Tb + Tm;
			      ro[WS(os, 6)] = Tb - Tm;
			      io[WS(os, 3)] = Tn + Ty;
			      io[0] = T1x + T1y;
			      io[WS(os, 6)] = T1x - T1y;
			      io[WS(os, 9)] = Ty - Tn;
			 }
			 {
			      E TB, TE, T1o, T11, T1p, TK, TP, T15, T1k, T18, T14, T16, T1l, T1m;
			      {
				   E T1e, T1j, TZ, T10, T12, T13;
				   TB = FNMS(KP866025403, TA, Tz);
				   TZ = FMA(KP866025403, TA, Tz);
				   T10 = FMA(KP866025403, TD, TC);
				   TE = FNMS(KP866025403, TD, TC);
				   T1o = FNMS(KP866025403, T1d, T1c);
				   T1e = FMA(KP866025403, T1d, T1c);
				   ro[WS(os, 9)] = T1t + T1w;
				   ro[WS(os, 3)] = T1t - T1w;
				   T1l = TZ + T10;
				   T11 = TZ - T10;
				   T1j = FMA(KP866025403, T1i, T1h);
				   T1p = FNMS(KP866025403, T1i, T1h);
				   TK = FNMS(KP866025403, TJ, TG);
				   T12 = FMA(KP866025403, TJ, TG);
				   T13 = FMA(KP866025403, TO, TL);
				   TP = FNMS(KP866025403, TO, TL);
				   TT = FNMS(KP866025403, TS, TR);
				   T15 = FMA(KP866025403, TS, TR);
				   T1m = T1e + T1j;
				   T1k = T1e - T1j;
				   T18 = T12 + T13;
				   T14 = T12 - T13;
				   T16 = FMA(KP866025403, TV, TU);
				   TW = FNMS(KP866025403, TV, TU);
			      }
			      io[WS(os, 10)] = T1l - T1m;
			      io[WS(os, 4)] = T1l + T1m;
			      io[WS(os, 7)] = T11 + T14;
			      io[WS(os, 1)] = T11 - T14;
			      {
				   E T17, T19, T1r, T1s;
				   T17 = T15 + T16;
				   T19 = T15 - T16;
				   ro[WS(os, 7)] = T19 - T1k;
				   ro[WS(os, 1)] = T19 + T1k;
				   ro[WS(os, 4)] = T17 + T18;
				   ro[WS(os, 10)] = T17 - T18;
				   T1r = TB + TE;
				   TF = TB - TE;
				   T1s = T1o + T1p;
				   T1q = T1o - T1p;
				   TY = TK + TP;
				   TQ = TK - TP;
				   io[WS(os, 2)] = T1r - T1s;
				   io[WS(os, 8)] = T1r + T1s;
			      }
			 }
		    }
	       }
	       io[WS(os, 11)] = TF + TQ;
	       io[WS(os, 5)] = TF - TQ;
	       TX = TT + TW;
	       T1n = TT - TW;
	       ro[WS(os, 11)] = T1n - T1q;
	       ro[WS(os, 5)] = T1n + T1q;
	       ro[WS(os, 8)] = TX + TY;
	       ro[WS(os, 2)] = TX - TY;
	  }
     }
}

static const kdft_desc desc = { 12, "n1_12", {72, 0, 24, 0}, &GENUS, 0, 0, 0, 0 };

void X(codelet_n1_12) (planner *p) {
     X(kdft_register) (p, n1_12, &desc);
}

#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_notw.native -compact -variables 4 -pipeline-latency 4 -n 12 -name n1_12 -include n.h */

/*
 * This function contains 96 FP additions, 16 FP multiplications,
 * (or, 88 additions, 8 multiplications, 8 fused multiply/add),
 * 43 stack variables, 2 constants, and 48 memory accesses
 */
#include "n.h"

static void n1_12(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     {
	  INT i;
	  for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(48, is), MAKE_VOLATILE_STRIDE(48, os)) {
	       E T5, TR, TA, Ts, TS, Tz, Ta, TU, TD, Tx, TV, TC, Tg, T1a, TG;
	       E TJ, T1u, T1d, Tl, T1f, TL, TO, T1v, T1i;
	       {
		    E T1, T2, T3, T4;
		    T1 = ri[0];
		    T2 = ri[WS(is, 4)];
		    T3 = ri[WS(is, 8)];
		    T4 = T2 + T3;
		    T5 = T1 + T4;
		    TR = FNMS(KP500000000, T4, T1);
		    TA = KP866025403 * (T3 - T2);
	       }
	       {
		    E To, Tp, Tq, Tr;
		    To = ii[0];
		    Tp = ii[WS(is, 4)];
		    Tq = ii[WS(is, 8)];
		    Tr = Tp + Tq;
		    Ts = To + Tr;
		    TS = KP866025403 * (Tp - Tq);
		    Tz = FNMS(KP500000000, Tr, To);
	       }
	       {
		    E T6, T7, T8, T9;
		    T6 = ri[WS(is, 6)];
		    T7 = ri[WS(is, 10)];
		    T8 = ri[WS(is, 2)];
		    T9 = T7 + T8;
		    Ta = T6 + T9;
		    TU = FNMS(KP500000000, T9, T6);
		    TD = KP866025403 * (T8 - T7);
	       }
	       {
		    E Tt, Tu, Tv, Tw;
		    Tt = ii[WS(is, 6)];
		    Tu = ii[WS(is, 10)];
		    Tv = ii[WS(is, 2)];
		    Tw = Tu + Tv;
		    Tx = Tt + Tw;
		    TV = KP866025403 * (Tu - Tv);
		    TC = FNMS(KP500000000, Tw, Tt);
	       }
	       {
		    E Tc, Td, Te, Tf;
		    Tc = ri[WS(is, 3)];
		    Td = ri[WS(is, 7)];
		    Te = ri[WS(is, 11)];
		    Tf = Td + Te;
		    Tg = Tc + Tf;
		    T1a = KP866025403 * (Te - Td);
		    TG = FNMS(KP500000000, Tf, Tc);
	       }
	       {
		    E T1b, TH, TI, T1c;
		    T1b = ii[WS(is, 3)];
		    TH = ii[WS(is, 7)];
		    TI = ii[WS(is, 11)];
		    T1c = TH + TI;
		    TJ = KP866025403 * (TH - TI);
		    T1u = T1b + T1c;
		    T1d = FNMS(KP500000000, T1c, T1b);
	       }
	       {
		    E Th, Ti, Tj, Tk;
		    Th = ri[WS(is, 9)];
		    Ti = ri[WS(is, 1)];
		    Tj = ri[WS(is, 5)];
		    Tk = Ti + Tj;
		    Tl = Th + Tk;
		    T1f = KP866025403 * (Tj - Ti);
		    TL = FNMS(KP500000000, Tk, Th);
	       }
	       {
		    E T1g, TM, TN, T1h;
		    T1g = ii[WS(is, 9)];
		    TM = ii[WS(is, 1)];
		    TN = ii[WS(is, 5)];
		    T1h = TM + TN;
		    TO = KP866025403 * (TM - TN);
		    T1v = T1g + T1h;
		    T1i = FNMS(KP500000000, T1h, T1g);
	       }
	       {
		    E Tb, Tm, T1t, T1w;
		    Tb = T5 + Ta;
		    Tm = Tg + Tl;
		    ro[WS(os, 6)] = Tb - Tm;
		    ro[0] = Tb + Tm;
		    {
			 E T1x, T1y, Tn, Ty;
			 T1x = Ts + Tx;
			 T1y = T1u + T1v;
			 io[WS(os, 6)] = T1x - T1y;
			 io[0] = T1x + T1y;
			 Tn = Tg - Tl;
			 Ty = Ts - Tx;
			 io[WS(os, 3)] = Tn + Ty;
			 io[WS(os, 9)] = Ty - Tn;
		    }
		    T1t = T5 - Ta;
		    T1w = T1u - T1v;
		    ro[WS(os, 3)] = T1t - T1w;
		    ro[WS(os, 9)] = T1t + T1w;
		    {
			 E T11, T1l, T1k, T1m, T14, T18, T17, T19;
			 {
			      E TZ, T10, T1e, T1j;
			      TZ = TA + Tz;
			      T10 = TD + TC;
			      T11 = TZ - T10;
			      T1l = TZ + T10;
			      T1e = T1a + T1d;
			      T1j = T1f + T1i;
			      T1k = T1e - T1j;
			      T1m = T1e + T1j;
			 }
			 {
			      E T12, T13, T15, T16;
			      T12 = TG + TJ;
			      T13 = TL + TO;
			      T14 = T12 - T13;
			      T18 = T12 + T13;
			      T15 = TR + TS;
			      T16 = TU + TV;
			      T17 = T15 + T16;
			      T19 = T15 - T16;
			 }
			 io[WS(os, 1)] = T11 - T14;
			 ro[WS(os, 1)] = T19 + T1k;
			 io[WS(os, 7)] = T11 + T14;
			 ro[WS(os, 7)] = T19 - T1k;
			 ro[WS(os, 10)] = T17 - T18;
			 io[WS(os, 10)] = T1l - T1m;
			 ro[WS(os, 4)] = T17 + T18;
			 io[WS(os, 4)] = T1l + T1m;
		    }
		    {
			 E TF, T1r, T1q, T1s, TQ, TY, TX, T1n;
			 {
			      E TB, TE, T1o, T1p;
			      TB = Tz - TA;
			      TE = TC - TD;
			      TF = TB - TE;
			      T1r = TB + TE;
			      T1o = T1d - T1a;
			      T1p = T1i - T1f;
			      T1q = T1o - T1p;
			      T1s = T1o + T1p;
			 }
			 {
			      E TK, TP, TT, TW;
			      TK = TG - TJ;
			      TP = TL - TO;
			      TQ = TK - TP;
			      TY = TK + TP;
			      TT = TR - TS;
			      TW = TU - TV;
			      TX = TT + TW;
			      T1n = TT - TW;
			 }
			 io[WS(os, 5)] = TF - TQ;
			 ro[WS(os, 5)] = T1n + T1q;
			 io[WS(os, 11)] = TF + TQ;
			 ro[WS(os, 11)] = T1n - T1q;
			 ro[WS(os, 2)] = TX - TY;
			 io[WS(os, 2)] = T1r - T1s;
			 ro[WS(os, 8)] = TX + TY;
			 io[WS(os, 8)] = T1r + T1s;
		    }
	       }
	  }
     }
}

static const kdft_desc desc = { 12, "n1_12", {88, 8, 8, 0}, &GENUS, 0, 0, 0, 0 };

void X(codelet_n1_12) (planner *p) {
     X(kdft_register) (p, n1_12, &desc);
}

#endif				/* HAVE_FMA */