annotate fft/fftw/fftw-3.3.4/dft/scalar/codelets/t1_12.c @ 40:223f770b5341 kissfft-double tip

Try a double-precision kissfft

/*
 * Copyright (c) 2003, 2007-14 Matteo Frigo
 * Copyright (c) 2003, 2007-14 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 Tue Mar  4 13:45:52 EST 2014 */

#include "codelet-dft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_twiddle.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 12 -name t1_12 -include t.h */

/*
 * This function contains 118 FP additions, 68 FP multiplications,
 * (or, 72 additions, 22 multiplications, 46 fused multiply/add),
 * 84 stack variables, 2 constants, and 48 memory accesses
 */
#include "t.h"

static void t1_12(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     {
	  INT m;
	  for (m = mb, W = W + (mb * 22); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 22, MAKE_VOLATILE_STRIDE(24, rs)) {
	       E T2B, T2C;
	       {
		    E T1, T2i, T2e, Tl, T1Y, T10, T1S, TG, T2f, T1s, T2r, Ty, T1Z, T1H, T21;
		    E T1d, TI, TL, T2h, T1l, T2o, Te, TJ, T1w, TO, TR, TN, TK, TQ;
		    {
			 E TW, TZ, TY, T1X, TX;
			 T1 = ri[0];
			 T2i = ii[0];
			 {
			      E Th, Tk, Tg, Tj, T2d, Ti, TV;
			      Th = ri[WS(rs, 6)];
			      Tk = ii[WS(rs, 6)];
			      Tg = W[10];
			      Tj = W[11];
			      TW = ri[WS(rs, 9)];
			      TZ = ii[WS(rs, 9)];
			      T2d = Tg * Tk;
			      Ti = Tg * Th;
			      TV = W[16];
			      TY = W[17];
			      T2e = FNMS(Tj, Th, T2d);
			      Tl = FMA(Tj, Tk, Ti);
			      T1X = TV * TZ;
			      TX = TV * TW;
			 }
			 {
			      E Tn, Tq, Tt, T1o, To, Tw, Ts, Tp, Tv;
			      {
				   E TC, TF, TB, TE, T1R, TD, Tm;
				   TC = ri[WS(rs, 3)];
				   TF = ii[WS(rs, 3)];
				   T1Y = FNMS(TY, TW, T1X);
				   T10 = FMA(TY, TZ, TX);
				   TB = W[4];
				   TE = W[5];
				   Tn = ri[WS(rs, 10)];
				   Tq = ii[WS(rs, 10)];
				   T1R = TB * TF;
				   TD = TB * TC;
				   Tm = W[18];
				   Tt = ri[WS(rs, 2)];
				   T1S = FNMS(TE, TC, T1R);
				   TG = FMA(TE, TF, TD);
				   T1o = Tm * Tq;
				   To = Tm * Tn;
				   Tw = ii[WS(rs, 2)];
				   Ts = W[2];
				   Tp = W[19];
				   Tv = W[3];
			      }
			      {
				   E T12, T15, T13, T1D, T18, T1b, T17, T14, T1a;
				   {
					E T1p, Tr, T1r, Tx, T1q, Tu, T11;
					T12 = ri[WS(rs, 1)];
					T1q = Ts * Tw;
					Tu = Ts * Tt;
					T1p = FNMS(Tp, Tn, T1o);
					Tr = FMA(Tp, Tq, To);
					T1r = FNMS(Tv, Tt, T1q);
					Tx = FMA(Tv, Tw, Tu);
					T15 = ii[WS(rs, 1)];
					T11 = W[0];
					T2f = T1p + T1r;
					T1s = T1p - T1r;
					T2r = Tx - Tr;
					Ty = Tr + Tx;
					T13 = T11 * T12;
					T1D = T11 * T15;
				   }
				   T18 = ri[WS(rs, 5)];
				   T1b = ii[WS(rs, 5)];
				   T17 = W[8];
				   T14 = W[1];
				   T1a = W[9];
				   {
					E T3, T6, T4, T1h, T9, Tc, T8, T5, Tb;
					{
					     E T1E, T16, T1G, T1c, T1F, T19, T2;
					     T3 = ri[WS(rs, 4)];
					     T1F = T17 * T1b;
					     T19 = T17 * T18;
					     T1E = FNMS(T14, T12, T1D);
					     T16 = FMA(T14, T15, T13);
					     T1G = FNMS(T1a, T18, T1F);
					     T1c = FMA(T1a, T1b, T19);
					     T6 = ii[WS(rs, 4)];
					     T2 = W[6];
					     T1Z = T1E + T1G;
					     T1H = T1E - T1G;
					     T21 = T1c - T16;
					     T1d = T16 + T1c;
					     T4 = T2 * T3;
					     T1h = T2 * T6;
					}
					T9 = ri[WS(rs, 8)];
					Tc = ii[WS(rs, 8)];
					T8 = W[14];
					T5 = W[7];
					Tb = W[15];
					{
					     E T1i, T7, T1k, Td, T1j, Ta, TH;
					     TI = ri[WS(rs, 7)];
					     T1j = T8 * Tc;
					     Ta = T8 * T9;
					     T1i = FNMS(T5, T3, T1h);
					     T7 = FMA(T5, T6, T4);
					     T1k = FNMS(Tb, T9, T1j);
					     Td = FMA(Tb, Tc, Ta);
					     TL = ii[WS(rs, 7)];
					     TH = W[12];
					     T2h = T1i + T1k;
					     T1l = T1i - T1k;
					     T2o = Td - T7;
					     Te = T7 + Td;
					     TJ = TH * TI;
					     T1w = TH * TL;
					}
					TO = ri[WS(rs, 11)];
					TR = ii[WS(rs, 11)];
					TN = W[20];
					TK = W[13];
					TQ = W[21];
				   }
			      }
			 }
		    }
		    {
			 E T1g, T1n, T2q, T1A, T1V, T28, TA, T2n, T1v, T1C, T1U, T29, T2m, T2k, T2l;
			 E T1f, T2a, T20;
			 {
			      E T2g, T1T, TT, T2j, TU, T1e;
			      {
				   E Tf, T1x, TM, T1z, TS, Tz, T1y, TP;
				   T1g = FNMS(KP500000000, Te, T1);
				   Tf = T1 + Te;
				   T1y = TN * TR;
				   TP = TN * TO;
				   T1x = FNMS(TK, TI, T1w);
				   TM = FMA(TK, TL, TJ);
				   T1z = FNMS(TQ, TO, T1y);
				   TS = FMA(TQ, TR, TP);
				   Tz = Tl + Ty;
				   T1n = FNMS(KP500000000, Ty, Tl);
				   T2q = FNMS(KP500000000, T2f, T2e);
				   T2g = T2e + T2f;
				   T1T = T1x + T1z;
				   T1A = T1x - T1z;
				   T1V = TS - TM;
				   TT = TM + TS;
				   T28 = Tf - Tz;
				   TA = Tf + Tz;
				   T2j = T2h + T2i;
				   T2n = FNMS(KP500000000, T2h, T2i);
			      }
			      T1v = FNMS(KP500000000, TT, TG);
			      TU = TG + TT;
			      T1e = T10 + T1d;
			      T1C = FNMS(KP500000000, T1d, T10);
			      T1U = FNMS(KP500000000, T1T, T1S);
			      T29 = T1S + T1T;
			      T2m = T2j - T2g;
			      T2k = T2g + T2j;
			      T2l = TU - T1e;
			      T1f = TU + T1e;
			      T2a = T1Y + T1Z;
			      T20 = FNMS(KP500000000, T1Z, T1Y);
			 }
			 {
			      E T1m, T1K, T2y, T2p, T2x, T2s, T1L, T1t, T1B, T1N, T2c, T2b;
			      ii[WS(rs, 9)] = T2m - T2l;
			      ii[WS(rs, 3)] = T2l + T2m;
			      ri[0] = TA + T1f;
			      ri[WS(rs, 6)] = TA - T1f;
			      T2c = T29 + T2a;
			      T2b = T29 - T2a;
			      T1m = FNMS(KP866025403, T1l, T1g);
			      T1K = FMA(KP866025403, T1l, T1g);
			      ii[0] = T2c + T2k;
			      ii[WS(rs, 6)] = T2k - T2c;
			      ri[WS(rs, 9)] = T28 + T2b;
			      ri[WS(rs, 3)] = T28 - T2b;
			      T2y = FNMS(KP866025403, T2o, T2n);
			      T2p = FMA(KP866025403, T2o, T2n);
			      T2x = FNMS(KP866025403, T2r, T2q);
			      T2s = FMA(KP866025403, T2r, T2q);
			      T1L = FMA(KP866025403, T1s, T1n);
			      T1t = FNMS(KP866025403, T1s, T1n);
			      T1B = FNMS(KP866025403, T1A, T1v);
			      T1N = FMA(KP866025403, T1A, T1v);
			      {
				   E T24, T27, T1Q, T2u, T23, T2v, T2w, T2t;
				   {
					E T1u, T1W, T22, T1O, T1I, T2z, T2A, T25, T26, T1M, T1J, T1P;
					T24 = T1m - T1t;
					T1u = T1m + T1t;
					T25 = FNMS(KP866025403, T1V, T1U);
					T1W = FMA(KP866025403, T1V, T1U);
					T26 = FNMS(KP866025403, T21, T20);
					T22 = FMA(KP866025403, T21, T20);
					T1O = FMA(KP866025403, T1H, T1C);
					T1I = FNMS(KP866025403, T1H, T1C);
					T2z = T2x + T2y;
					T2B = T2y - T2x;
					T27 = T25 - T26;
					T2A = T25 + T26;
					T1M = T1K + T1L;
					T1Q = T1K - T1L;
					T2C = T1B - T1I;
					T1J = T1B + T1I;
					T1P = T1N + T1O;
					T2u = T1N - T1O;
					ii[WS(rs, 8)] = T2A + T2z;
					ii[WS(rs, 2)] = T2z - T2A;
					ri[WS(rs, 8)] = T1u + T1J;
					ri[WS(rs, 2)] = T1u - T1J;
					ri[WS(rs, 10)] = T1M - T1P;
					ri[WS(rs, 4)] = T1M + T1P;
					T23 = T1W - T22;
					T2v = T1W + T22;
					T2w = T2s + T2p;
					T2t = T2p - T2s;
				   }
				   ii[WS(rs, 10)] = T2w - T2v;
				   ii[WS(rs, 4)] = T2v + T2w;
				   ri[WS(rs, 1)] = T1Q + T23;
				   ri[WS(rs, 7)] = T1Q - T23;
				   ii[WS(rs, 7)] = T2u + T2t;
				   ii[WS(rs, 1)] = T2t - T2u;
				   ri[WS(rs, 5)] = T24 + T27;
				   ri[WS(rs, 11)] = T24 - T27;
			      }
			 }
		    }
	       }
	       ii[WS(rs, 11)] = T2C + T2B;
	       ii[WS(rs, 5)] = T2B - T2C;
	  }
     }
}

static const tw_instr twinstr[] = {
     {TW_FULL, 0, 12},
     {TW_NEXT, 1, 0}
};

static const ct_desc desc = { 12, "t1_12", twinstr, &GENUS, {72, 22, 46, 0}, 0, 0, 0 };

void X(codelet_t1_12) (planner *p) {
     X(kdft_dit_register) (p, t1_12, &desc);
}
#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -n 12 -name t1_12 -include t.h */

/*
 * This function contains 118 FP additions, 60 FP multiplications,
 * (or, 88 additions, 30 multiplications, 30 fused multiply/add),
 * 47 stack variables, 2 constants, and 48 memory accesses
 */
#include "t.h"

static void t1_12(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
     {
	  INT m;
	  for (m = mb, W = W + (mb * 22); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 22, MAKE_VOLATILE_STRIDE(24, rs)) {
	       E T1, T1W, T18, T21, Tc, T15, T1V, T22, TR, T1E, T1o, T1D, T12, T1l, T1F;
	       E T1G, Ti, T1S, T1d, T24, Tt, T1a, T1T, T25, TA, T1z, T1j, T1y, TL, T1g;
	       E T1A, T1B;
	       {
		    E T6, T16, Tb, T17;
		    T1 = ri[0];
		    T1W = ii[0];
		    {
			 E T3, T5, T2, T4;
			 T3 = ri[WS(rs, 4)];
			 T5 = ii[WS(rs, 4)];
			 T2 = W[6];
			 T4 = W[7];
			 T6 = FMA(T2, T3, T4 * T5);
			 T16 = FNMS(T4, T3, T2 * T5);
		    }
		    {
			 E T8, Ta, T7, T9;
			 T8 = ri[WS(rs, 8)];
			 Ta = ii[WS(rs, 8)];
			 T7 = W[14];
			 T9 = W[15];
			 Tb = FMA(T7, T8, T9 * Ta);
			 T17 = FNMS(T9, T8, T7 * Ta);
		    }
		    T18 = KP866025403 * (T16 - T17);
		    T21 = KP866025403 * (Tb - T6);
		    Tc = T6 + Tb;
		    T15 = FNMS(KP500000000, Tc, T1);
		    T1V = T16 + T17;
		    T22 = FNMS(KP500000000, T1V, T1W);
	       }
	       {
		    E T11, T1n, TW, T1m;
		    {
			 E TO, TQ, TN, TP;
			 TO = ri[WS(rs, 9)];
			 TQ = ii[WS(rs, 9)];
			 TN = W[16];
			 TP = W[17];
			 TR = FMA(TN, TO, TP * TQ);
			 T1E = FNMS(TP, TO, TN * TQ);
		    }
		    {
			 E TY, T10, TX, TZ;
			 TY = ri[WS(rs, 5)];
			 T10 = ii[WS(rs, 5)];
			 TX = W[8];
			 TZ = W[9];
			 T11 = FMA(TX, TY, TZ * T10);
			 T1n = FNMS(TZ, TY, TX * T10);
		    }
		    {
			 E TT, TV, TS, TU;
			 TT = ri[WS(rs, 1)];
			 TV = ii[WS(rs, 1)];
			 TS = W[0];
			 TU = W[1];
			 TW = FMA(TS, TT, TU * TV);
			 T1m = FNMS(TU, TT, TS * TV);
		    }
		    T1o = KP866025403 * (T1m - T1n);
		    T1D = KP866025403 * (T11 - TW);
		    T12 = TW + T11;
		    T1l = FNMS(KP500000000, T12, TR);
		    T1F = T1m + T1n;
		    T1G = FNMS(KP500000000, T1F, T1E);
	       }
	       {
		    E Ts, T1c, Tn, T1b;
		    {
			 E Tf, Th, Te, Tg;
			 Tf = ri[WS(rs, 6)];
			 Th = ii[WS(rs, 6)];
			 Te = W[10];
			 Tg = W[11];
			 Ti = FMA(Te, Tf, Tg * Th);
			 T1S = FNMS(Tg, Tf, Te * Th);
		    }
		    {
			 E Tp, Tr, To, Tq;
			 Tp = ri[WS(rs, 2)];
			 Tr = ii[WS(rs, 2)];
			 To = W[2];
			 Tq = W[3];
			 Ts = FMA(To, Tp, Tq * Tr);
			 T1c = FNMS(Tq, Tp, To * Tr);
		    }
		    {
			 E Tk, Tm, Tj, Tl;
			 Tk = ri[WS(rs, 10)];
			 Tm = ii[WS(rs, 10)];
			 Tj = W[18];
			 Tl = W[19];
			 Tn = FMA(Tj, Tk, Tl * Tm);
			 T1b = FNMS(Tl, Tk, Tj * Tm);
		    }
		    T1d = KP866025403 * (T1b - T1c);
		    T24 = KP866025403 * (Ts - Tn);
		    Tt = Tn + Ts;
		    T1a = FNMS(KP500000000, Tt, Ti);
		    T1T = T1b + T1c;
		    T25 = FNMS(KP500000000, T1T, T1S);
	       }
	       {
		    E TK, T1i, TF, T1h;
		    {
			 E Tx, Tz, Tw, Ty;
			 Tx = ri[WS(rs, 3)];
			 Tz = ii[WS(rs, 3)];
			 Tw = W[4];
			 Ty = W[5];
			 TA = FMA(Tw, Tx, Ty * Tz);
			 T1z = FNMS(Ty, Tx, Tw * Tz);
		    }
		    {
			 E TH, TJ, TG, TI;
			 TH = ri[WS(rs, 11)];
			 TJ = ii[WS(rs, 11)];
			 TG = W[20];
			 TI = W[21];
			 TK = FMA(TG, TH, TI * TJ);
			 T1i = FNMS(TI, TH, TG * TJ);
		    }
		    {
			 E TC, TE, TB, TD;
			 TC = ri[WS(rs, 7)];
			 TE = ii[WS(rs, 7)];
			 TB = W[12];
			 TD = W[13];
			 TF = FMA(TB, TC, TD * TE);
			 T1h = FNMS(TD, TC, TB * TE);
		    }
		    T1j = KP866025403 * (T1h - T1i);
		    T1y = KP866025403 * (TK - TF);
		    TL = TF + TK;
		    T1g = FNMS(KP500000000, TL, TA);
		    T1A = T1h + T1i;
		    T1B = FNMS(KP500000000, T1A, T1z);
	       }
	       {
		    E Tv, T1N, T1Y, T20, T14, T1Z, T1Q, T1R;
		    {
			 E Td, Tu, T1U, T1X;
			 Td = T1 + Tc;
			 Tu = Ti + Tt;
			 Tv = Td + Tu;
			 T1N = Td - Tu;
			 T1U = T1S + T1T;
			 T1X = T1V + T1W;
			 T1Y = T1U + T1X;
			 T20 = T1X - T1U;
		    }
		    {
			 E TM, T13, T1O, T1P;
			 TM = TA + TL;
			 T13 = TR + T12;
			 T14 = TM + T13;
			 T1Z = TM - T13;
			 T1O = T1z + T1A;
			 T1P = T1E + T1F;
			 T1Q = T1O - T1P;
			 T1R = T1O + T1P;
		    }
		    ri[WS(rs, 6)] = Tv - T14;
		    ii[WS(rs, 6)] = T1Y - T1R;
		    ri[0] = Tv + T14;
		    ii[0] = T1R + T1Y;
		    ri[WS(rs, 3)] = T1N - T1Q;
		    ii[WS(rs, 3)] = T1Z + T20;
		    ri[WS(rs, 9)] = T1N + T1Q;
		    ii[WS(rs, 9)] = T20 - T1Z;
	       }
	       {
		    E T1t, T1x, T27, T2a, T1w, T28, T1I, T29;
		    {
			 E T1r, T1s, T23, T26;
			 T1r = T15 + T18;
			 T1s = T1a + T1d;
			 T1t = T1r + T1s;
			 T1x = T1r - T1s;
			 T23 = T21 + T22;
			 T26 = T24 + T25;
			 T27 = T23 - T26;
			 T2a = T26 + T23;
		    }
		    {
			 E T1u, T1v, T1C, T1H;
			 T1u = T1g + T1j;
			 T1v = T1l + T1o;
			 T1w = T1u + T1v;
			 T28 = T1u - T1v;
			 T1C = T1y + T1B;
			 T1H = T1D + T1G;
			 T1I = T1C - T1H;
			 T29 = T1C + T1H;
		    }
		    ri[WS(rs, 10)] = T1t - T1w;
		    ii[WS(rs, 10)] = T2a - T29;
		    ri[WS(rs, 4)] = T1t + T1w;
		    ii[WS(rs, 4)] = T29 + T2a;
		    ri[WS(rs, 7)] = T1x - T1I;
		    ii[WS(rs, 7)] = T28 + T27;
		    ri[WS(rs, 1)] = T1x + T1I;
		    ii[WS(rs, 1)] = T27 - T28;
	       }
	       {
		    E T1f, T1J, T2d, T2f, T1q, T2g, T1M, T2e;
		    {
			 E T19, T1e, T2b, T2c;
			 T19 = T15 - T18;
			 T1e = T1a - T1d;
			 T1f = T19 + T1e;
			 T1J = T19 - T1e;
			 T2b = T25 - T24;
			 T2c = T22 - T21;
			 T2d = T2b + T2c;
			 T2f = T2c - T2b;
		    }
		    {
			 E T1k, T1p, T1K, T1L;
			 T1k = T1g - T1j;
			 T1p = T1l - T1o;
			 T1q = T1k + T1p;
			 T2g = T1k - T1p;
			 T1K = T1B - T1y;
			 T1L = T1G - T1D;
			 T1M = T1K - T1L;
			 T2e = T1K + T1L;
		    }
		    ri[WS(rs, 2)] = T1f - T1q;
		    ii[WS(rs, 2)] = T2d - T2e;
		    ri[WS(rs, 8)] = T1f + T1q;
		    ii[WS(rs, 8)] = T2e + T2d;
		    ri[WS(rs, 11)] = T1J - T1M;
		    ii[WS(rs, 11)] = T2g + T2f;
		    ri[WS(rs, 5)] = T1J + T1M;
		    ii[WS(rs, 5)] = T2f - T2g;
	       }
	  }
     }
}

static const tw_instr twinstr[] = {
     {TW_FULL, 0, 12},
     {TW_NEXT, 1, 0}
};

static const ct_desc desc = { 12, "t1_12", twinstr, &GENUS, {88, 30, 30, 0}, 0, 0, 0 };

void X(codelet_t1_12) (planner *p) {
     X(kdft_dit_register) (p, t1_12, &desc);
}
#endif				/* HAVE_FMA */