annotate src/fftw-3.3.3/dft/scalar/codelets/n1_16.c @ 95:89f5e221ed7b

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 07:35:44 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 16 -name n1_16 -include n.h */

/*
 * This function contains 144 FP additions, 40 FP multiplications,
 * (or, 104 additions, 0 multiplications, 40 fused multiply/add),
 * 82 stack variables, 3 constants, and 64 memory accesses
 */
#include "n.h"

static void n1_16(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DK(KP923879532, +0.923879532511286756128183189396788286822416626);
     DK(KP414213562, +0.414213562373095048801688724209698078569671875);
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     {
	  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(64, is), MAKE_VOLATILE_STRIDE(64, os)) {
	       E T1z, T1L, T1M, T1N, T1P, T1J, T1K, T1G, T1O, T1Q;
	       {
		    E T1l, T1H, T1R, T7, T1x, TN, TC, T25, T1E, T1b, T1Z, Tt, T2h, T22, T1D;
		    E T1g, T1n, TQ, Te, T26, TT, T1m, TJ, T1S, Tj, T11, Ti, T1V, TZ, Tk;
		    E T12, T13;
		    {
			 E Tq, T1c, Tp, T20, T1a, Tr, T1d, T1e;
			 {
			      E T4, TL, T3, T1k, Ty, T5, Tz, TA;
			      {
				   E T1, T2, Tw, Tx;
				   T1 = ri[0];
				   T2 = ri[WS(is, 8)];
				   Tw = ii[0];
				   Tx = ii[WS(is, 8)];
				   T4 = ri[WS(is, 4)];
				   TL = T1 - T2;
				   T3 = T1 + T2;
				   T1k = Tw - Tx;
				   Ty = Tw + Tx;
				   T5 = ri[WS(is, 12)];
				   Tz = ii[WS(is, 4)];
				   TA = ii[WS(is, 12)];
			      }
			      {
				   E Tn, To, T18, T19;
				   Tn = ri[WS(is, 15)];
				   {
					E T1j, T6, TM, TB;
					T1j = T4 - T5;
					T6 = T4 + T5;
					TM = Tz - TA;
					TB = Tz + TA;
					T1l = T1j + T1k;
					T1H = T1k - T1j;
					T1R = T3 - T6;
					T7 = T3 + T6;
					T1x = TL + TM;
					TN = TL - TM;
					TC = Ty + TB;
					T25 = Ty - TB;
					To = ri[WS(is, 7)];
				   }
				   T18 = ii[WS(is, 15)];
				   T19 = ii[WS(is, 7)];
				   Tq = ri[WS(is, 3)];
				   T1c = Tn - To;
				   Tp = Tn + To;
				   T20 = T18 + T19;
				   T1a = T18 - T19;
				   Tr = ri[WS(is, 11)];
				   T1d = ii[WS(is, 3)];
				   T1e = ii[WS(is, 11)];
			      }
			 }
			 {
			      E Tb, TP, Ta, TO, TF, Tc, TG, TH;
			      {
				   E T8, T9, TD, TE;
				   T8 = ri[WS(is, 2)];
				   {
					E T17, Ts, T21, T1f;
					T17 = Tq - Tr;
					Ts = Tq + Tr;
					T21 = T1d + T1e;
					T1f = T1d - T1e;
					T1E = T1a - T17;
					T1b = T17 + T1a;
					T1Z = Tp - Ts;
					Tt = Tp + Ts;
					T2h = T20 + T21;
					T22 = T20 - T21;
					T1D = T1c + T1f;
					T1g = T1c - T1f;
					T9 = ri[WS(is, 10)];
				   }
				   TD = ii[WS(is, 2)];
				   TE = ii[WS(is, 10)];
				   Tb = ri[WS(is, 14)];
				   TP = T8 - T9;
				   Ta = T8 + T9;
				   TO = TD - TE;
				   TF = TD + TE;
				   Tc = ri[WS(is, 6)];
				   TG = ii[WS(is, 14)];
				   TH = ii[WS(is, 6)];
			      }
			      {
				   E TR, Td, TS, TI;
				   T1n = TP + TO;
				   TQ = TO - TP;
				   TR = Tb - Tc;
				   Td = Tb + Tc;
				   TS = TG - TH;
				   TI = TG + TH;
				   Te = Ta + Td;
				   T26 = Td - Ta;
				   TT = TR + TS;
				   T1m = TR - TS;
				   TJ = TF + TI;
				   T1S = TF - TI;
			      }
			 }
			 {
			      E Tg, Th, TX, TY;
			      Tg = ri[WS(is, 1)];
			      Th = ri[WS(is, 9)];
			      TX = ii[WS(is, 1)];
			      TY = ii[WS(is, 9)];
			      Tj = ri[WS(is, 5)];
			      T11 = Tg - Th;
			      Ti = Tg + Th;
			      T1V = TX + TY;
			      TZ = TX - TY;
			      Tk = ri[WS(is, 13)];
			      T12 = ii[WS(is, 5)];
			      T13 = ii[WS(is, 13)];
			 }
		    }
		    {
			 E T2f, T1B, T10, T1U, T1X, T1A, T15, Tv, TK, T2i;
			 {
			      E Tf, Tu, T2j, T2k, T2g;
			      T2f = T7 - Te;
			      Tf = T7 + Te;
			      {
				   E TW, Tl, T1W, T14, Tm;
				   TW = Tj - Tk;
				   Tl = Tj + Tk;
				   T1W = T12 + T13;
				   T14 = T12 - T13;
				   T1B = TZ - TW;
				   T10 = TW + TZ;
				   T1U = Ti - Tl;
				   Tm = Ti + Tl;
				   T2g = T1V + T1W;
				   T1X = T1V - T1W;
				   T1A = T11 + T14;
				   T15 = T11 - T14;
				   Tu = Tm + Tt;
				   Tv = Tt - Tm;
			      }
			      TK = TC - TJ;
			      T2j = TC + TJ;
			      T2k = T2g + T2h;
			      T2i = T2g - T2h;
			      ro[0] = Tf + Tu;
			      ro[WS(os, 8)] = Tf - Tu;
			      io[0] = T2j + T2k;
			      io[WS(os, 8)] = T2j - T2k;
			 }
			 {
			      E T29, T1T, T27, T2d, T2a, T2b, T28, T24, T1Y, T23;
			      T29 = T1R - T1S;
			      T1T = T1R + T1S;
			      io[WS(os, 12)] = TK - Tv;
			      io[WS(os, 4)] = Tv + TK;
			      ro[WS(os, 4)] = T2f + T2i;
			      ro[WS(os, 12)] = T2f - T2i;
			      T27 = T25 - T26;
			      T2d = T26 + T25;
			      T2a = T1X - T1U;
			      T1Y = T1U + T1X;
			      T23 = T1Z - T22;
			      T2b = T1Z + T22;
			      T28 = T23 - T1Y;
			      T24 = T1Y + T23;
			      {
				   E T1I, TV, T1v, T1y, T1t, T1s, T1r, T1p, T1q, T1i;
				   {
					E T1o, T2e, T2c, TU, T16, T1h;
					T1I = TQ + TT;
					TU = TQ - TT;
					io[WS(os, 14)] = FNMS(KP707106781, T28, T27);
					io[WS(os, 6)] = FMA(KP707106781, T28, T27);
					ro[WS(os, 2)] = FMA(KP707106781, T24, T1T);
					ro[WS(os, 10)] = FNMS(KP707106781, T24, T1T);
					T2e = T2a + T2b;
					T2c = T2a - T2b;
					TV = FMA(KP707106781, TU, TN);
					T1v = FNMS(KP707106781, TU, TN);
					io[WS(os, 10)] = FNMS(KP707106781, T2e, T2d);
					io[WS(os, 2)] = FMA(KP707106781, T2e, T2d);
					ro[WS(os, 6)] = FMA(KP707106781, T2c, T29);
					ro[WS(os, 14)] = FNMS(KP707106781, T2c, T29);
					T1o = T1m - T1n;
					T1y = T1n + T1m;
					T1t = FNMS(KP414213562, T10, T15);
					T16 = FMA(KP414213562, T15, T10);
					T1h = FNMS(KP414213562, T1g, T1b);
					T1s = FMA(KP414213562, T1b, T1g);
					T1r = FMA(KP707106781, T1o, T1l);
					T1p = FNMS(KP707106781, T1o, T1l);
					T1q = T16 + T1h;
					T1i = T16 - T1h;
				   }
				   {
					E T1w, T1u, T1C, T1F;
					io[WS(os, 15)] = FMA(KP923879532, T1q, T1p);
					io[WS(os, 7)] = FNMS(KP923879532, T1q, T1p);
					ro[WS(os, 3)] = FMA(KP923879532, T1i, TV);
					ro[WS(os, 11)] = FNMS(KP923879532, T1i, TV);
					T1w = T1t + T1s;
					T1u = T1s - T1t;
					T1z = FMA(KP707106781, T1y, T1x);
					T1L = FNMS(KP707106781, T1y, T1x);
					ro[WS(os, 15)] = FMA(KP923879532, T1w, T1v);
					ro[WS(os, 7)] = FNMS(KP923879532, T1w, T1v);
					io[WS(os, 3)] = FMA(KP923879532, T1u, T1r);
					io[WS(os, 11)] = FNMS(KP923879532, T1u, T1r);
					T1M = FNMS(KP414213562, T1A, T1B);
					T1C = FMA(KP414213562, T1B, T1A);
					T1F = FNMS(KP414213562, T1E, T1D);
					T1N = FMA(KP414213562, T1D, T1E);
					T1P = FMA(KP707106781, T1I, T1H);
					T1J = FNMS(KP707106781, T1I, T1H);
					T1K = T1F - T1C;
					T1G = T1C + T1F;
				   }
			      }
			 }
		    }
	       }
	       io[WS(os, 5)] = FMA(KP923879532, T1K, T1J);
	       io[WS(os, 13)] = FNMS(KP923879532, T1K, T1J);
	       ro[WS(os, 1)] = FMA(KP923879532, T1G, T1z);
	       ro[WS(os, 9)] = FNMS(KP923879532, T1G, T1z);
	       T1O = T1M - T1N;
	       T1Q = T1M + T1N;
	       io[WS(os, 1)] = FMA(KP923879532, T1Q, T1P);
	       io[WS(os, 9)] = FNMS(KP923879532, T1Q, T1P);
	       ro[WS(os, 5)] = FMA(KP923879532, T1O, T1L);
	       ro[WS(os, 13)] = FNMS(KP923879532, T1O, T1L);
	  }
     }
}

static const kdft_desc desc = { 16, "n1_16", {104, 0, 40, 0}, &GENUS, 0, 0, 0, 0 };

void X(codelet_n1_16) (planner *p) {
     X(kdft_register) (p, n1_16, &desc);
}

#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_notw.native -compact -variables 4 -pipeline-latency 4 -n 16 -name n1_16 -include n.h */

/*
 * This function contains 144 FP additions, 24 FP multiplications,
 * (or, 136 additions, 16 multiplications, 8 fused multiply/add),
 * 50 stack variables, 3 constants, and 64 memory accesses
 */
#include "n.h"

static void n1_16(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DK(KP382683432, +0.382683432365089771728459984030398866761344562);
     DK(KP923879532, +0.923879532511286756128183189396788286822416626);
     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
     {
	  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(64, is), MAKE_VOLATILE_STRIDE(64, os)) {
	       E T7, T1R, T25, TC, TN, T1x, T1H, T1l, Tt, T22, T2h, T1b, T1g, T1E, T1Z;
	       E T1D, Te, T1S, T26, TJ, TQ, T1m, T1n, TT, Tm, T1X, T2g, T10, T15, T1B;
	       E T1U, T1A;
	       {
		    E T3, TL, Ty, T1k, T6, T1j, TB, TM;
		    {
			 E T1, T2, Tw, Tx;
			 T1 = ri[0];
			 T2 = ri[WS(is, 8)];
			 T3 = T1 + T2;
			 TL = T1 - T2;
			 Tw = ii[0];
			 Tx = ii[WS(is, 8)];
			 Ty = Tw + Tx;
			 T1k = Tw - Tx;
		    }
		    {
			 E T4, T5, Tz, TA;
			 T4 = ri[WS(is, 4)];
			 T5 = ri[WS(is, 12)];
			 T6 = T4 + T5;
			 T1j = T4 - T5;
			 Tz = ii[WS(is, 4)];
			 TA = ii[WS(is, 12)];
			 TB = Tz + TA;
			 TM = Tz - TA;
		    }
		    T7 = T3 + T6;
		    T1R = T3 - T6;
		    T25 = Ty - TB;
		    TC = Ty + TB;
		    TN = TL - TM;
		    T1x = TL + TM;
		    T1H = T1k - T1j;
		    T1l = T1j + T1k;
	       }
	       {
		    E Tp, T17, T1f, T20, Ts, T1c, T1a, T21;
		    {
			 E Tn, To, T1d, T1e;
			 Tn = ri[WS(is, 15)];
			 To = ri[WS(is, 7)];
			 Tp = Tn + To;
			 T17 = Tn - To;
			 T1d = ii[WS(is, 15)];
			 T1e = ii[WS(is, 7)];
			 T1f = T1d - T1e;
			 T20 = T1d + T1e;
		    }
		    {
			 E Tq, Tr, T18, T19;
			 Tq = ri[WS(is, 3)];
			 Tr = ri[WS(is, 11)];
			 Ts = Tq + Tr;
			 T1c = Tq - Tr;
			 T18 = ii[WS(is, 3)];
			 T19 = ii[WS(is, 11)];
			 T1a = T18 - T19;
			 T21 = T18 + T19;
		    }
		    Tt = Tp + Ts;
		    T22 = T20 - T21;
		    T2h = T20 + T21;
		    T1b = T17 - T1a;
		    T1g = T1c + T1f;
		    T1E = T1f - T1c;
		    T1Z = Tp - Ts;
		    T1D = T17 + T1a;
	       }
	       {
		    E Ta, TP, TF, TO, Td, TR, TI, TS;
		    {
			 E T8, T9, TD, TE;
			 T8 = ri[WS(is, 2)];
			 T9 = ri[WS(is, 10)];
			 Ta = T8 + T9;
			 TP = T8 - T9;
			 TD = ii[WS(is, 2)];
			 TE = ii[WS(is, 10)];
			 TF = TD + TE;
			 TO = TD - TE;
		    }
		    {
			 E Tb, Tc, TG, TH;
			 Tb = ri[WS(is, 14)];
			 Tc = ri[WS(is, 6)];
			 Td = Tb + Tc;
			 TR = Tb - Tc;
			 TG = ii[WS(is, 14)];
			 TH = ii[WS(is, 6)];
			 TI = TG + TH;
			 TS = TG - TH;
		    }
		    Te = Ta + Td;
		    T1S = TF - TI;
		    T26 = Td - Ta;
		    TJ = TF + TI;
		    TQ = TO - TP;
		    T1m = TR - TS;
		    T1n = TP + TO;
		    TT = TR + TS;
	       }
	       {
		    E Ti, T11, TZ, T1V, Tl, TW, T14, T1W;
		    {
			 E Tg, Th, TX, TY;
			 Tg = ri[WS(is, 1)];
			 Th = ri[WS(is, 9)];
			 Ti = Tg + Th;
			 T11 = Tg - Th;
			 TX = ii[WS(is, 1)];
			 TY = ii[WS(is, 9)];
			 TZ = TX - TY;
			 T1V = TX + TY;
		    }
		    {
			 E Tj, Tk, T12, T13;
			 Tj = ri[WS(is, 5)];
			 Tk = ri[WS(is, 13)];
			 Tl = Tj + Tk;
			 TW = Tj - Tk;
			 T12 = ii[WS(is, 5)];
			 T13 = ii[WS(is, 13)];
			 T14 = T12 - T13;
			 T1W = T12 + T13;
		    }
		    Tm = Ti + Tl;
		    T1X = T1V - T1W;
		    T2g = T1V + T1W;
		    T10 = TW + TZ;
		    T15 = T11 - T14;
		    T1B = T11 + T14;
		    T1U = Ti - Tl;
		    T1A = TZ - TW;
	       }
	       {
		    E Tf, Tu, T2j, T2k;
		    Tf = T7 + Te;
		    Tu = Tm + Tt;
		    ro[WS(os, 8)] = Tf - Tu;
		    ro[0] = Tf + Tu;
		    T2j = TC + TJ;
		    T2k = T2g + T2h;
		    io[WS(os, 8)] = T2j - T2k;
		    io[0] = T2j + T2k;
	       }
	       {
		    E Tv, TK, T2f, T2i;
		    Tv = Tt - Tm;
		    TK = TC - TJ;
		    io[WS(os, 4)] = Tv + TK;
		    io[WS(os, 12)] = TK - Tv;
		    T2f = T7 - Te;
		    T2i = T2g - T2h;
		    ro[WS(os, 12)] = T2f - T2i;
		    ro[WS(os, 4)] = T2f + T2i;
	       }
	       {
		    E T1T, T27, T24, T28, T1Y, T23;
		    T1T = T1R + T1S;
		    T27 = T25 - T26;
		    T1Y = T1U + T1X;
		    T23 = T1Z - T22;
		    T24 = KP707106781 * (T1Y + T23);
		    T28 = KP707106781 * (T23 - T1Y);
		    ro[WS(os, 10)] = T1T - T24;
		    io[WS(os, 6)] = T27 + T28;
		    ro[WS(os, 2)] = T1T + T24;
		    io[WS(os, 14)] = T27 - T28;
	       }
	       {
		    E T29, T2d, T2c, T2e, T2a, T2b;
		    T29 = T1R - T1S;
		    T2d = T26 + T25;
		    T2a = T1X - T1U;
		    T2b = T1Z + T22;
		    T2c = KP707106781 * (T2a - T2b);
		    T2e = KP707106781 * (T2a + T2b);
		    ro[WS(os, 14)] = T29 - T2c;
		    io[WS(os, 2)] = T2d + T2e;
		    ro[WS(os, 6)] = T29 + T2c;
		    io[WS(os, 10)] = T2d - T2e;
	       }
	       {
		    E TV, T1r, T1p, T1v, T1i, T1q, T1u, T1w, TU, T1o;
		    TU = KP707106781 * (TQ - TT);
		    TV = TN + TU;
		    T1r = TN - TU;
		    T1o = KP707106781 * (T1m - T1n);
		    T1p = T1l - T1o;
		    T1v = T1l + T1o;
		    {
			 E T16, T1h, T1s, T1t;
			 T16 = FMA(KP923879532, T10, KP382683432 * T15);
			 T1h = FNMS(KP923879532, T1g, KP382683432 * T1b);
			 T1i = T16 + T1h;
			 T1q = T1h - T16;
			 T1s = FNMS(KP923879532, T15, KP382683432 * T10);
			 T1t = FMA(KP382683432, T1g, KP923879532 * T1b);
			 T1u = T1s - T1t;
			 T1w = T1s + T1t;
		    }
		    ro[WS(os, 11)] = TV - T1i;
		    io[WS(os, 11)] = T1v - T1w;
		    ro[WS(os, 3)] = TV + T1i;
		    io[WS(os, 3)] = T1v + T1w;
		    io[WS(os, 15)] = T1p - T1q;
		    ro[WS(os, 15)] = T1r - T1u;
		    io[WS(os, 7)] = T1p + T1q;
		    ro[WS(os, 7)] = T1r + T1u;
	       }
	       {
		    E T1z, T1L, T1J, T1P, T1G, T1K, T1O, T1Q, T1y, T1I;
		    T1y = KP707106781 * (T1n + T1m);
		    T1z = T1x + T1y;
		    T1L = T1x - T1y;
		    T1I = KP707106781 * (TQ + TT);
		    T1J = T1H - T1I;
		    T1P = T1H + T1I;
		    {
			 E T1C, T1F, T1M, T1N;
			 T1C = FMA(KP382683432, T1A, KP923879532 * T1B);
			 T1F = FNMS(KP382683432, T1E, KP923879532 * T1D);
			 T1G = T1C + T1F;
			 T1K = T1F - T1C;
			 T1M = FNMS(KP382683432, T1B, KP923879532 * T1A);
			 T1N = FMA(KP923879532, T1E, KP382683432 * T1D);
			 T1O = T1M - T1N;
			 T1Q = T1M + T1N;
		    }
		    ro[WS(os, 9)] = T1z - T1G;
		    io[WS(os, 9)] = T1P - T1Q;
		    ro[WS(os, 1)] = T1z + T1G;
		    io[WS(os, 1)] = T1P + T1Q;
		    io[WS(os, 13)] = T1J - T1K;
		    ro[WS(os, 13)] = T1L - T1O;
		    io[WS(os, 5)] = T1J + T1K;
		    ro[WS(os, 5)] = T1L + T1O;
	       }
	  }
     }
}

static const kdft_desc desc = { 16, "n1_16", {136, 16, 8, 0}, &GENUS, 0, 0, 0, 0 };

void X(codelet_n1_16) (planner *p) {
     X(kdft_register) (p, n1_16, &desc);
}

#endif				/* HAVE_FMA */