hc2cf_12.c

快速fft变换

/*
 * Copyright (c) 2003, 2007-8 Matteo Frigo
 * Copyright (c) 2003, 2007-8 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 Nov 15 21:01:32 EST 2008 */

#include "codelet-rdft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_hc2c -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 12 -dit -name hc2cf_12 -include hc2cf.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 "hc2cf.h"

static void hc2cf_12(R *Rp, R *Ip, R *Rm, R *Im, 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 - 1) * 22); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 22, MAKE_VOLATILE_STRIDE(rs)) {
	  E T2n, T2u;
	  {
	       E T1, T2i, T2e, Tl, T1Y, T10, T1S, TG, T2f, T1s, T2s, Ty, T1Z, T1H, T21;
	       E T1d, TI, TL, T2h, T1l, T2p, Te, TJ, T1w, TO, TR, TN, TK, TQ;
	       {
		    E TW, TZ, TY, T1X, TX;
		    T1 = Rp[0];
		    T2i = Rm[0];
		    {
			 E Th, Tk, Tg, Tj, T2d, Ti, TV;
			 Th = Rp[WS(rs, 3)];
			 Tk = Rm[WS(rs, 3)];
			 Tg = W[10];
			 Tj = W[11];
			 TW = Ip[WS(rs, 4)];
			 TZ = Im[WS(rs, 4)];
			 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 = Ip[WS(rs, 1)];
			      TF = Im[WS(rs, 1)];
			      T1Y = FNMS(TY, TW, T1X);
			      T10 = FMA(TY, TZ, TX);
			      TB = W[4];
			      TE = W[5];
			      Tn = Rp[WS(rs, 5)];
			      Tq = Rm[WS(rs, 5)];
			      T1R = TB * TF;
			      TD = TB * TC;
			      Tm = W[18];
			      Tt = Rp[WS(rs, 1)];
			      T1S = FNMS(TE, TC, T1R);
			      TG = FMA(TE, TF, TD);
			      T1o = Tm * Tq;
			      To = Tm * Tn;
			      Tw = Rm[WS(rs, 1)];
			      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 = Ip[0];
				   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 = Im[0];
				   T11 = W[0];
				   T2f = T1p + T1r;
				   T1s = T1p - T1r;
				   T2s = Tx - Tr;
				   Ty = Tr + Tx;
				   T13 = T11 * T12;
				   T1D = T11 * T15;
			      }
			      T18 = Ip[WS(rs, 2)];
			      T1b = Im[WS(rs, 2)];
			      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 = Rp[WS(rs, 2)];
					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 = Rm[WS(rs, 2)];
					T2 = W[6];
					T1Z = T1E + T1G;
					T1H = T1E - T1G;
					T21 = T1c - T16;
					T1d = T16 + T1c;
					T4 = T2 * T3;
					T1h = T2 * T6;
				   }
				   T9 = Rp[WS(rs, 4)];
				   Tc = Rm[WS(rs, 4)];
				   T8 = W[14];
				   T5 = W[7];
				   Tb = W[15];
				   {
					E T1i, T7, T1k, Td, T1j, Ta, TH;
					TI = Ip[WS(rs, 3)];
					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 = Im[WS(rs, 3)];
					TH = W[12];
					T2h = T1i + T1k;
					T1l = T1i - T1k;
					T2p = Td - T7;
					Te = T7 + Td;
					TJ = TH * TI;
					T1w = TH * TL;
				   }
				   TO = Ip[WS(rs, 5)];
				   TR = Im[WS(rs, 5)];
				   TN = W[20];
				   TK = W[13];
				   TQ = W[21];
			      }
			 }
		    }
	       }
	       {
		    E T1g, T1n, T2r, T1A, T1V, T28, TA, T2o, 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);
			      T2r = 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;
			      T2o = 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, T2z, T2q, T2y, T2t, T1L, T1t, T1B, T1N, T2c, T2b;
			 Im[WS(rs, 2)] = T2l - T2m;
			 Ip[WS(rs, 3)] = T2l + T2m;
			 Rp[0] = TA + T1f;
			 Rm[WS(rs, 5)] = TA - T1f;
			 T2c = T29 + T2a;
			 T2b = T29 - T2a;
			 T1m = FNMS(KP866025403, T1l, T1g);
			 T1K = FMA(KP866025403, T1l, T1g);
			 Ip[0] = T2c + T2k;
			 Im[WS(rs, 5)] = T2c - T2k;
			 Rm[WS(rs, 2)] = T28 + T2b;
			 Rp[WS(rs, 3)] = T28 - T2b;
			 T2z = FNMS(KP866025403, T2p, T2o);
			 T2q = FMA(KP866025403, T2p, T2o);
			 T2y = FNMS(KP866025403, T2s, T2r);
			 T2t = FMA(KP866025403, T2s, T2r);
			 T1L = FMA(KP866025403, T1s, T1n);
			 T1t = FNMS(KP866025403, T1s, T1n);
			 T1B = FNMS(KP866025403, T1A, T1v);
			 T1N = FMA(KP866025403, T1A, T1v);
			 {
			      E T1Q, T2C, T23, T24, T2B, T27, T2v, T2w;
			      {
				   E T1u, T25, T26, T1O, T1I, T2A, T2x, T1W, T22, T1M, T1J, T1P;
				   T1Q = T1m - T1t;
				   T1u = T1m + T1t;
				   T25 = FMA(KP866025403, T1V, T1U);
				   T1W = FNMS(KP866025403, T1V, T1U);
				   T26 = FMA(KP866025403, T21, T20);
				   T22 = FNMS(KP866025403, T21, T20);
				   T1O = FMA(KP866025403, T1H, T1C);
				   T1I = FNMS(KP866025403, T1H, T1C);
				   T2A = T2y + T2z;
				   T2C = T2z - T2y;
				   T23 = T1W - T22;
				   T2x = T1W + T22;
				   T1M = T1K + T1L;
				   T24 = T1K - T1L;
				   T2B = T1I - T1B;
				   T1J = T1B + T1I;
				   T1P = T1N + T1O;
				   T2n = T1O - T1N;
				   Ip[WS(rs, 2)] = T2A - T2x;
				   Im[WS(rs, 3)] = -(T2x + T2A);
				   Rm[WS(rs, 3)] = T1u + T1J;
				   Rp[WS(rs, 2)] = T1u - T1J;
				   Rm[WS(rs, 1)] = T1M - T1P;
				   Rp[WS(rs, 4)] = T1M + T1P;
				   T27 = T25 - T26;
				   T2v = T25 + T26;
				   T2w = T2t + T2q;
				   T2u = T2q - T2t;
			      }
			      Ip[WS(rs, 4)] = T2v + T2w;
			      Im[WS(rs, 1)] = T2v - T2w;
			      Rp[WS(rs, 5)] = T1Q + T23;
			      Rm[0] = T1Q - T23;
			      Ip[WS(rs, 5)] = T2B + T2C;
			      Im[0] = T2B - T2C;
			      Rp[WS(rs, 1)] = T24 + T27;
			      Rm[WS(rs, 4)] = T24 - T27;
			 }
		    }
	       }
	  }
	  Ip[WS(rs, 1)] = T2n + T2u;
	  Im[WS(rs, 4)] = T2n - T2u;
     }
}

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

static const hc2c_desc desc = { 12, "hc2cf_12", twinstr, &GENUS, {72, 22, 46, 0} };

void X(codelet_hc2cf_12) (planner *p) {
     X(khc2c_register) (p, hc2cf_12, &desc, HC2C_VIA_RDFT);
}
#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_hc2c -compact -variables 4 -pipeline-latency 4 -n 12 -dit -name hc2cf_12 -include hc2cf.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 "hc2cf.h"

static void hc2cf_12(R *Rp, R *Ip, R *Rm, R *Im, 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 - 1) * 22); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 22, MAKE_VOLATILE_STRIDE(rs)) {
	  E T1, T1W, T18, T22, Tc, T15, T1V, T23, TR, T1E, T1o, T1D, T12, T1l, T1F;
	  E T1G, Ti, T1S, T1d, T25, Tt, T1a, T1T, T26, TA, T1y, T1j, T1B, TL, T1g;
	  E T1z, T1A;
	  {
	       E T6, T16, Tb, T17;
	       T1 = Rp[0];
	       T1W = Rm[0];
	       {
		    E T3, T5, T2, T4;
		    T3 = Rp[WS(rs, 2)];
		    T5 = Rm[WS(rs, 2)];
		    T2 = W[6];
		    T4 = W[7];
		    T6 = FMA(T2, T3, T4 * T5);
		    T16 = FNMS(T4, T3, T2 * T5);
	       }
	       {
		    E T8, Ta, T7, T9;
		    T8 = Rp[WS(rs, 4)];
		    Ta = Rm[WS(rs, 4)];
		    T7 = W[14];
		    T9 = W[15];
		    Tb = FMA(T7, T8, T9 * Ta);
		    T17 = FNMS(T9, T8, T7 * Ta);
	       }
	       T18 = KP866025403 * (T16 - T17);
	       T22 = KP866025403 * (Tb - T6);
	       Tc = T6 + Tb;
	       T15 = FNMS(KP500000000, Tc, T1);
	       T1V = T16 + T17;
	       T23 = FNMS(KP500000000, T1V, T1W);
	  }
	  {
	       E T11, T1n, TW, T1m;
	       {
		    E TO, TQ, TN, TP;
		    TO = Ip[WS(rs, 4)];
		    TQ = Im[WS(rs, 4)];
		    TN = W[16];
		    TP = W[17];
		    TR = FMA(TN, TO, TP * TQ);
		    T1E = FNMS(TP, TO, TN * TQ);
	       }
	       {
		    E TY, T10, TX, TZ;
		    TY = Ip[WS(rs, 2)];
		    T10 = Im[WS(rs, 2)];
		    TX = W[8];
		    TZ = W[9];
		    T11 = FMA(TX, TY, TZ * T10);
		    T1n = FNMS(TZ, TY, TX * T10);
	       }
	       {
		    E TT, TV, TS, TU;
		    TT = Ip[0];
		    TV = Im[0];
		    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 = Rp[WS(rs, 3)];
		    Th = Rm[WS(rs, 3)];
		    Te = W[10];
		    Tg = W[11];
		    Ti = FMA(Te, Tf, Tg * Th);
		    T1S = FNMS(Tg, Tf, Te * Th);
	       }
	       {
		    E Tp, Tr, To, Tq;
		    Tp = Rp[WS(rs, 1)];
		    Tr = Rm[WS(rs, 1)];
		    To = W[2];
		    Tq = W[3];
		    Ts = FMA(To, Tp, Tq * Tr);
		    T1c = FNMS(Tq, Tp, To * Tr);
	       }
	       {
		    E Tk, Tm, Tj, Tl;
		    Tk = Rp[WS(rs, 5)];
		    Tm = Rm[WS(rs, 5)];
		    Tj = W[18];
		    Tl = W[19];
		    Tn = FMA(Tj, Tk, Tl * Tm);
		    T1b = FNMS(Tl, Tk, Tj * Tm);
	       }
	       T1d = KP866025403 * (T1b - T1c);
	       T25 = KP866025403 * (Ts - Tn);
	       Tt = Tn + Ts;
	       T1a = FNMS(KP500000000, Tt, Ti);
	       T1T = T1b + T1c;
	       T26 = FNMS(KP500000000, T1T, T1S);
	  }
	  {
	       E TK, T1i, TF, T1h;
	       {
		    E Tx, Tz, Tw, Ty;
		    Tx = Ip[WS(rs, 1)];
		    Tz = Im[WS(rs, 1)];
		    Tw = W[4];
		    Ty = W[5];
		    TA = FMA(Tw, Tx, Ty * Tz);
		    T1y = FNMS(Ty, Tx, Tw * Tz);
	       }
	       {
		    E TH, TJ, TG, TI;
		    TH = Ip[WS(rs, 5)];
		    TJ = Im[WS(rs, 5)];
		    TG = W[20];
		    TI = W[21];
		    TK = FMA(TG, TH, TI * TJ);
		    T1i = FNMS(TI, TH, TG * TJ);
	       }
	       {
		    E TC, TE, TB, TD;
		    TC = Ip[WS(rs, 3)];
		    TE = Im[WS(rs, 3)];
		    TB = W[12];
		    TD = W[13];
		    TF = FMA(TB, TC, TD * TE);
		    T1h = FNMS(TD, TC, TB * TE);
	       }
	       T1j = KP866025403 * (T1h - T1i);
	       T1B = KP866025403 * (TK - TF);
	       TL = TF + TK;
	       T1g = FNMS(KP500000000, TL, TA);
	       T1z = T1h + T1i;
	       T1A = FNMS(KP500000000, T1z, T1y);
	  }
	  {
	       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 = T1y + T1z;
		    T1P = T1E + T1F;
		    T1Q = T1O - T1P;
		    T1R = T1O + T1P;
	       }
	       Rm[WS(rs, 5)] = Tv - T14;
	       Im[WS(rs, 5)] = T1R - T1Y;
	       Rp[0] = Tv + T14;
	       Ip[0] = T1R + T1Y;
	       Rp[WS(rs, 3)] = T1N - T1Q;
	       Ip[WS(rs, 3)] = T1Z + T20;
	       Rm[WS(rs, 2)] = T1N + T1Q;
	       Im[WS(rs, 2)] = T1Z - T20;
	  }
	  {
	       E T1t, T1J, T28, T2a, T1w, T21, T1M, T29;
	       {
		    E T1r, T1s, T24, T27;
		    T1r = T15 + T18;
		    T1s = T1a + T1d;
		    T1t = T1r + T1s;
		    T1J = T1r - T1s;
		    T24 = T22 + T23;
		    T27 = T25 + T26;
		    T28 = T24 - T27;
		    T2a = T27 + T24;
	       }
	       {
		    E T1u, T1v, T1K, T1L;
		    T1u = T1g + T1j;
		    T1v = T1l + T1o;
		    T1w = T1u + T1v;
		    T21 = T1v - T1u;
		    T1K = T1B + T1A;
		    T1L = T1D + T1G;
		    T1M = T1K - T1L;
		    T29 = T1K + T1L;
	       }
	       Rm[WS(rs, 1)] = T1t - T1w;
	       Im[WS(rs, 1)] = T29 - T2a;
	       Rp[WS(rs, 4)] = T1t + T1w;
	       Ip[WS(rs, 4)] = T29 + T2a;
	       Rm[WS(rs, 4)] = T1J - T1M;
	       Im[WS(rs, 4)] = T21 - T28;
	       Rp[WS(rs, 1)] = T1J + T1M;
	       Ip[WS(rs, 1)] = T21 + T28;
	  }
	  {
	       E T1f, T1x, T2e, T2g, T1q, T2f, T1I, T2b;
	       {
		    E T19, T1e, T2c, T2d;
		    T19 = T15 - T18;
		    T1e = T1a - T1d;
		    T1f = T19 + T1e;
		    T1x = T19 - T1e;
		    T2c = T26 - T25;
		    T2d = T23 - T22;
		    T2e = T2c + T2d;
		    T2g = T2d - T2c;
	       }
	       {
		    E T1k, T1p, T1C, T1H;
		    T1k = T1g - T1j;
		    T1p = T1l - T1o;
		    T1q = T1k + T1p;
		    T2f = T1p - T1k;
		    T1C = T1A - T1B;
		    T1H = T1D - T1G;
		    T1I = T1C + T1H;
		    T2b = T1H - T1C;
	       }
	       Rp[WS(rs, 2)] = T1f - T1q;
	       Ip[WS(rs, 2)] = T2b + T2e;
	       Rm[WS(rs, 3)] = T1f + T1q;
	       Im[WS(rs, 3)] = T2b - T2e;
	       Rm[0] = T1x - T1I;
	       Im[0] = T2f - T2g;
	       Rp[WS(rs, 5)] = T1x + T1I;
	       Ip[WS(rs, 5)] = T2f + T2g;
	  }
     }
}

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

static const hc2c_desc desc = { 12, "hc2cf_12", twinstr, &GENUS, {88, 30, 30, 0} };

void X(codelet_hc2cf_12) (planner *p) {
     X(khc2c_register) (p, hc2cf_12, &desc, HC2C_VIA_RDFT);
}
#endif				/* HAVE_FMA */