annotate src/fftw-3.3.3/dft/simd/common/n1bv_20.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 07:37:14 EST 2012 */

#include "codelet-dft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_notw_c.native -fma -reorder-insns -schedule-for-pipeline -simd -compact -variables 4 -pipeline-latency 8 -sign 1 -n 20 -name n1bv_20 -include n1b.h */

/*
 * This function contains 104 FP additions, 50 FP multiplications,
 * (or, 58 additions, 4 multiplications, 46 fused multiply/add),
 * 71 stack variables, 4 constants, and 40 memory accesses
 */
#include "n1b.h"

static void n1bv_20(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DVK(KP559016994, +0.559016994374947424102293417182819058860154590);
     DVK(KP618033988, +0.618033988749894848204586834365638117720309180);
     DVK(KP951056516, +0.951056516295153572116439333379382143405698634);
     DVK(KP250000000, +0.250000000000000000000000000000000000000000000);
     {
	  INT i;
	  const R *xi;
	  R *xo;
	  xi = ii;
	  xo = io;
	  for (i = v; i > 0; i = i - VL, xi = xi + (VL * ivs), xo = xo + (VL * ovs), MAKE_VOLATILE_STRIDE(40, is), MAKE_VOLATILE_STRIDE(40, os)) {
	       V TS, TA, TN, TV, TK, TU, TR, Tl;
	       {
		    V T3, TE, T1r, T13, Ta, TL, Tz, TG, Ts, TF, Th, TM, T1u, T1C, T1n;
		    V T1a, T1m, T1h, T1x, T1D, Tk, Ti;
		    {
			 V T1, T2, TC, TD;
			 T1 = LD(&(xi[0]), ivs, &(xi[0]));
			 T2 = LD(&(xi[WS(is, 10)]), ivs, &(xi[0]));
			 TC = LD(&(xi[WS(is, 5)]), ivs, &(xi[WS(is, 1)]));
			 TD = LD(&(xi[WS(is, 15)]), ivs, &(xi[WS(is, 1)]));
			 {
			      V T14, T6, T1c, Tv, Tm, T1f, Ty, T17, T9, Tn, Tp, T1b, Td, Tq, Te;
			      V Tf, T15, To;
			      {
				   V Tw, Tx, T7, T8, Tb, Tc;
				   {
					V T4, T5, Tt, Tu, T11, T12;
					T4 = LD(&(xi[WS(is, 4)]), ivs, &(xi[0]));
					T5 = LD(&(xi[WS(is, 14)]), ivs, &(xi[0]));
					Tt = LD(&(xi[WS(is, 13)]), ivs, &(xi[WS(is, 1)]));
					Tu = LD(&(xi[WS(is, 3)]), ivs, &(xi[WS(is, 1)]));
					Tw = LD(&(xi[WS(is, 17)]), ivs, &(xi[WS(is, 1)]));
					T3 = VSUB(T1, T2);
					T11 = VADD(T1, T2);
					TE = VSUB(TC, TD);
					T12 = VADD(TC, TD);
					T14 = VADD(T4, T5);
					T6 = VSUB(T4, T5);
					T1c = VADD(Tt, Tu);
					Tv = VSUB(Tt, Tu);
					Tx = LD(&(xi[WS(is, 7)]), ivs, &(xi[WS(is, 1)]));
					T7 = LD(&(xi[WS(is, 16)]), ivs, &(xi[0]));
					T8 = LD(&(xi[WS(is, 6)]), ivs, &(xi[0]));
					T1r = VADD(T11, T12);
					T13 = VSUB(T11, T12);
				   }
				   Tb = LD(&(xi[WS(is, 8)]), ivs, &(xi[0]));
				   Tc = LD(&(xi[WS(is, 18)]), ivs, &(xi[0]));
				   Tm = LD(&(xi[WS(is, 9)]), ivs, &(xi[WS(is, 1)]));
				   T1f = VADD(Tw, Tx);
				   Ty = VSUB(Tw, Tx);
				   T17 = VADD(T7, T8);
				   T9 = VSUB(T7, T8);
				   Tn = LD(&(xi[WS(is, 19)]), ivs, &(xi[WS(is, 1)]));
				   Tp = LD(&(xi[WS(is, 1)]), ivs, &(xi[WS(is, 1)]));
				   T1b = VADD(Tb, Tc);
				   Td = VSUB(Tb, Tc);
				   Tq = LD(&(xi[WS(is, 11)]), ivs, &(xi[WS(is, 1)]));
				   Te = LD(&(xi[WS(is, 12)]), ivs, &(xi[0]));
				   Tf = LD(&(xi[WS(is, 2)]), ivs, &(xi[0]));
			      }
			      Ta = VADD(T6, T9);
			      TL = VSUB(T6, T9);
			      T15 = VADD(Tm, Tn);
			      To = VSUB(Tm, Tn);
			      Tz = VSUB(Tv, Ty);
			      TG = VADD(Tv, Ty);
			      {
				   V T1d, T1v, T18, Tr, T1e, Tg, T16, T1s;
				   T1d = VSUB(T1b, T1c);
				   T1v = VADD(T1b, T1c);
				   T18 = VADD(Tp, Tq);
				   Tr = VSUB(Tp, Tq);
				   T1e = VADD(Te, Tf);
				   Tg = VSUB(Te, Tf);
				   T16 = VSUB(T14, T15);
				   T1s = VADD(T14, T15);
				   {
					V T1t, T19, T1w, T1g;
					T1t = VADD(T17, T18);
					T19 = VSUB(T17, T18);
					Ts = VSUB(To, Tr);
					TF = VADD(To, Tr);
					T1w = VADD(T1e, T1f);
					T1g = VSUB(T1e, T1f);
					Th = VADD(Td, Tg);
					TM = VSUB(Td, Tg);
					T1u = VADD(T1s, T1t);
					T1C = VSUB(T1s, T1t);
					T1n = VSUB(T16, T19);
					T1a = VADD(T16, T19);
					T1m = VSUB(T1d, T1g);
					T1h = VADD(T1d, T1g);
					T1x = VADD(T1v, T1w);
					T1D = VSUB(T1v, T1w);
				   }
			      }
			 }
		    }
		    Tk = VSUB(Ta, Th);
		    Ti = VADD(Ta, Th);
		    {
			 V TJ, T1k, T1A, TZ, Tj, T1E, T1G, TI, T10, T1j, T1z, T1i, T1y, TH;
			 TJ = VSUB(TF, TG);
			 TH = VADD(TF, TG);
			 T1i = VADD(T1a, T1h);
			 T1k = VSUB(T1a, T1h);
			 T1y = VADD(T1u, T1x);
			 T1A = VSUB(T1u, T1x);
			 TZ = VADD(T3, Ti);
			 Tj = VFNMS(LDK(KP250000000), Ti, T3);
			 T1E = VMUL(LDK(KP951056516), VFMA(LDK(KP618033988), T1D, T1C));
			 T1G = VMUL(LDK(KP951056516), VFNMS(LDK(KP618033988), T1C, T1D));
			 TI = VFNMS(LDK(KP250000000), TH, TE);
			 T10 = VADD(TE, TH);
			 T1j = VFNMS(LDK(KP250000000), T1i, T13);
			 ST(&(xo[0]), VADD(T1r, T1y), ovs, &(xo[0]));
			 T1z = VFNMS(LDK(KP250000000), T1y, T1r);
			 ST(&(xo[WS(os, 10)]), VADD(T13, T1i), ovs, &(xo[0]));
			 {
			      V T1p, T1l, T1o, T1q, T1F, T1B;
			      TS = VFNMS(LDK(KP618033988), Ts, Tz);
			      TA = VFMA(LDK(KP618033988), Tz, Ts);
			      TN = VFMA(LDK(KP618033988), TM, TL);
			      TV = VFNMS(LDK(KP618033988), TL, TM);
			      ST(&(xo[WS(os, 5)]), VFMAI(T10, TZ), ovs, &(xo[WS(os, 1)]));
			      ST(&(xo[WS(os, 15)]), VFNMSI(T10, TZ), ovs, &(xo[WS(os, 1)]));
			      T1p = VFMA(LDK(KP559016994), T1k, T1j);
			      T1l = VFNMS(LDK(KP559016994), T1k, T1j);
			      T1o = VMUL(LDK(KP951056516), VFNMS(LDK(KP618033988), T1n, T1m));
			      T1q = VMUL(LDK(KP951056516), VFMA(LDK(KP618033988), T1m, T1n));
			      T1F = VFNMS(LDK(KP559016994), T1A, T1z);
			      T1B = VFMA(LDK(KP559016994), T1A, T1z);
			      ST(&(xo[WS(os, 14)]), VFNMSI(T1q, T1p), ovs, &(xo[0]));
			      ST(&(xo[WS(os, 6)]), VFMAI(T1q, T1p), ovs, &(xo[0]));
			      ST(&(xo[WS(os, 18)]), VFMAI(T1o, T1l), ovs, &(xo[0]));
			      ST(&(xo[WS(os, 2)]), VFNMSI(T1o, T1l), ovs, &(xo[0]));
			      ST(&(xo[WS(os, 16)]), VFMAI(T1E, T1B), ovs, &(xo[0]));
			      ST(&(xo[WS(os, 4)]), VFNMSI(T1E, T1B), ovs, &(xo[0]));
			      ST(&(xo[WS(os, 12)]), VFNMSI(T1G, T1F), ovs, &(xo[0]));
			      ST(&(xo[WS(os, 8)]), VFMAI(T1G, T1F), ovs, &(xo[0]));
			      TK = VFMA(LDK(KP559016994), TJ, TI);
			      TU = VFNMS(LDK(KP559016994), TJ, TI);
			      TR = VFNMS(LDK(KP559016994), Tk, Tj);
			      Tl = VFMA(LDK(KP559016994), Tk, Tj);
			 }
		    }
	       }
	       {
		    V TY, TW, TO, TQ, TB, TP, TX, TT;
		    TY = VFMA(LDK(KP951056516), TV, TU);
		    TW = VFNMS(LDK(KP951056516), TV, TU);
		    TO = VFMA(LDK(KP951056516), TN, TK);
		    TQ = VFNMS(LDK(KP951056516), TN, TK);
		    TB = VFNMS(LDK(KP951056516), TA, Tl);
		    TP = VFMA(LDK(KP951056516), TA, Tl);
		    TX = VFNMS(LDK(KP951056516), TS, TR);
		    TT = VFMA(LDK(KP951056516), TS, TR);
		    ST(&(xo[WS(os, 9)]), VFMAI(TQ, TP), ovs, &(xo[WS(os, 1)]));
		    ST(&(xo[WS(os, 11)]), VFNMSI(TQ, TP), ovs, &(xo[WS(os, 1)]));
		    ST(&(xo[WS(os, 1)]), VFMAI(TO, TB), ovs, &(xo[WS(os, 1)]));
		    ST(&(xo[WS(os, 19)]), VFNMSI(TO, TB), ovs, &(xo[WS(os, 1)]));
		    ST(&(xo[WS(os, 17)]), VFMAI(TW, TT), ovs, &(xo[WS(os, 1)]));
		    ST(&(xo[WS(os, 3)]), VFNMSI(TW, TT), ovs, &(xo[WS(os, 1)]));
		    ST(&(xo[WS(os, 13)]), VFMAI(TY, TX), ovs, &(xo[WS(os, 1)]));
		    ST(&(xo[WS(os, 7)]), VFNMSI(TY, TX), ovs, &(xo[WS(os, 1)]));
	       }
	  }
     }
     VLEAVE();
}

static const kdft_desc desc = { 20, XSIMD_STRING("n1bv_20"), {58, 4, 46, 0}, &GENUS, 0, 0, 0, 0 };

void XSIMD(codelet_n1bv_20) (planner *p) {
     X(kdft_register) (p, n1bv_20, &desc);
}

#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_notw_c.native -simd -compact -variables 4 -pipeline-latency 8 -sign 1 -n 20 -name n1bv_20 -include n1b.h */

/*
 * This function contains 104 FP additions, 24 FP multiplications,
 * (or, 92 additions, 12 multiplications, 12 fused multiply/add),
 * 53 stack variables, 4 constants, and 40 memory accesses
 */
#include "n1b.h"

static void n1bv_20(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
{
     DVK(KP587785252, +0.587785252292473129168705954639072768597652438);
     DVK(KP951056516, +0.951056516295153572116439333379382143405698634);
     DVK(KP250000000, +0.250000000000000000000000000000000000000000000);
     DVK(KP559016994, +0.559016994374947424102293417182819058860154590);
     {
	  INT i;
	  const R *xi;
	  R *xo;
	  xi = ii;
	  xo = io;
	  for (i = v; i > 0; i = i - VL, xi = xi + (VL * ivs), xo = xo + (VL * ovs), MAKE_VOLATILE_STRIDE(40, is), MAKE_VOLATILE_STRIDE(40, os)) {
	       V T3, T1y, TH, T1i, Ts, TL, TM, Tz, T13, T16, T1j, T1u, T1v, T1w, T1r;
	       V T1s, T1t, T1a, T1d, T1k, Ti, Tk, TE, TI, TZ, T10;
	       {
		    V T1, T2, T1g, TF, TG, T1h;
		    T1 = LD(&(xi[0]), ivs, &(xi[0]));
		    T2 = LD(&(xi[WS(is, 10)]), ivs, &(xi[0]));
		    T1g = VADD(T1, T2);
		    TF = LD(&(xi[WS(is, 5)]), ivs, &(xi[WS(is, 1)]));
		    TG = LD(&(xi[WS(is, 15)]), ivs, &(xi[WS(is, 1)]));
		    T1h = VADD(TF, TG);
		    T3 = VSUB(T1, T2);
		    T1y = VADD(T1g, T1h);
		    TH = VSUB(TF, TG);
		    T1i = VSUB(T1g, T1h);
	       }
	       {
		    V T6, T11, Tv, T19, Ty, T1c, T9, T14, Td, T18, To, T12, Tr, T15, Tg;
		    V T1b;
		    {
			 V T4, T5, Tt, Tu;
			 T4 = LD(&(xi[WS(is, 4)]), ivs, &(xi[0]));
			 T5 = LD(&(xi[WS(is, 14)]), ivs, &(xi[0]));
			 T6 = VSUB(T4, T5);
			 T11 = VADD(T4, T5);
			 Tt = LD(&(xi[WS(is, 13)]), ivs, &(xi[WS(is, 1)]));
			 Tu = LD(&(xi[WS(is, 3)]), ivs, &(xi[WS(is, 1)]));
			 Tv = VSUB(Tt, Tu);
			 T19 = VADD(Tt, Tu);
		    }
		    {
			 V Tw, Tx, T7, T8;
			 Tw = LD(&(xi[WS(is, 17)]), ivs, &(xi[WS(is, 1)]));
			 Tx = LD(&(xi[WS(is, 7)]), ivs, &(xi[WS(is, 1)]));
			 Ty = VSUB(Tw, Tx);
			 T1c = VADD(Tw, Tx);
			 T7 = LD(&(xi[WS(is, 16)]), ivs, &(xi[0]));
			 T8 = LD(&(xi[WS(is, 6)]), ivs, &(xi[0]));
			 T9 = VSUB(T7, T8);
			 T14 = VADD(T7, T8);
		    }
		    {
			 V Tb, Tc, Tm, Tn;
			 Tb = LD(&(xi[WS(is, 8)]), ivs, &(xi[0]));
			 Tc = LD(&(xi[WS(is, 18)]), ivs, &(xi[0]));
			 Td = VSUB(Tb, Tc);
			 T18 = VADD(Tb, Tc);
			 Tm = LD(&(xi[WS(is, 9)]), ivs, &(xi[WS(is, 1)]));
			 Tn = LD(&(xi[WS(is, 19)]), ivs, &(xi[WS(is, 1)]));
			 To = VSUB(Tm, Tn);
			 T12 = VADD(Tm, Tn);
		    }
		    {
			 V Tp, Tq, Te, Tf;
			 Tp = LD(&(xi[WS(is, 1)]), ivs, &(xi[WS(is, 1)]));
			 Tq = LD(&(xi[WS(is, 11)]), ivs, &(xi[WS(is, 1)]));
			 Tr = VSUB(Tp, Tq);
			 T15 = VADD(Tp, Tq);
			 Te = LD(&(xi[WS(is, 12)]), ivs, &(xi[0]));
			 Tf = LD(&(xi[WS(is, 2)]), ivs, &(xi[0]));
			 Tg = VSUB(Te, Tf);
			 T1b = VADD(Te, Tf);
		    }
		    Ts = VSUB(To, Tr);
		    TL = VSUB(T6, T9);
		    TM = VSUB(Td, Tg);
		    Tz = VSUB(Tv, Ty);
		    T13 = VSUB(T11, T12);
		    T16 = VSUB(T14, T15);
		    T1j = VADD(T13, T16);
		    T1u = VADD(T18, T19);
		    T1v = VADD(T1b, T1c);
		    T1w = VADD(T1u, T1v);
		    T1r = VADD(T11, T12);
		    T1s = VADD(T14, T15);
		    T1t = VADD(T1r, T1s);
		    T1a = VSUB(T18, T19);
		    T1d = VSUB(T1b, T1c);
		    T1k = VADD(T1a, T1d);
		    {
			 V Ta, Th, TC, TD;
			 Ta = VADD(T6, T9);
			 Th = VADD(Td, Tg);
			 Ti = VADD(Ta, Th);
			 Tk = VMUL(LDK(KP559016994), VSUB(Ta, Th));
			 TC = VADD(To, Tr);
			 TD = VADD(Tv, Ty);
			 TE = VMUL(LDK(KP559016994), VSUB(TC, TD));
			 TI = VADD(TC, TD);
		    }
	       }
	       TZ = VADD(T3, Ti);
	       T10 = VBYI(VADD(TH, TI));
	       ST(&(xo[WS(os, 15)]), VSUB(TZ, T10), ovs, &(xo[WS(os, 1)]));
	       ST(&(xo[WS(os, 5)]), VADD(TZ, T10), ovs, &(xo[WS(os, 1)]));
	       {
		    V T1x, T1z, T1A, T1E, T1G, T1C, T1D, T1F, T1B;
		    T1x = VMUL(LDK(KP559016994), VSUB(T1t, T1w));
		    T1z = VADD(T1t, T1w);
		    T1A = VFNMS(LDK(KP250000000), T1z, T1y);
		    T1C = VSUB(T1r, T1s);
		    T1D = VSUB(T1u, T1v);
		    T1E = VBYI(VFMA(LDK(KP951056516), T1C, VMUL(LDK(KP587785252), T1D)));
		    T1G = VBYI(VFNMS(LDK(KP951056516), T1D, VMUL(LDK(KP587785252), T1C)));
		    ST(&(xo[0]), VADD(T1y, T1z), ovs, &(xo[0]));
		    T1F = VSUB(T1A, T1x);
		    ST(&(xo[WS(os, 8)]), VSUB(T1F, T1G), ovs, &(xo[0]));
		    ST(&(xo[WS(os, 12)]), VADD(T1G, T1F), ovs, &(xo[0]));
		    T1B = VADD(T1x, T1A);
		    ST(&(xo[WS(os, 4)]), VSUB(T1B, T1E), ovs, &(xo[0]));
		    ST(&(xo[WS(os, 16)]), VADD(T1E, T1B), ovs, &(xo[0]));
	       }
	       {
		    V T1n, T1l, T1m, T1f, T1p, T17, T1e, T1q, T1o;
		    T1n = VMUL(LDK(KP559016994), VSUB(T1j, T1k));
		    T1l = VADD(T1j, T1k);
		    T1m = VFNMS(LDK(KP250000000), T1l, T1i);
		    T17 = VSUB(T13, T16);
		    T1e = VSUB(T1a, T1d);
		    T1f = VBYI(VFNMS(LDK(KP951056516), T1e, VMUL(LDK(KP587785252), T17)));
		    T1p = VBYI(VFMA(LDK(KP951056516), T17, VMUL(LDK(KP587785252), T1e)));
		    ST(&(xo[WS(os, 10)]), VADD(T1i, T1l), ovs, &(xo[0]));
		    T1q = VADD(T1n, T1m);
		    ST(&(xo[WS(os, 6)]), VADD(T1p, T1q), ovs, &(xo[0]));
		    ST(&(xo[WS(os, 14)]), VSUB(T1q, T1p), ovs, &(xo[0]));
		    T1o = VSUB(T1m, T1n);
		    ST(&(xo[WS(os, 2)]), VADD(T1f, T1o), ovs, &(xo[0]));
		    ST(&(xo[WS(os, 18)]), VSUB(T1o, T1f), ovs, &(xo[0]));
	       }
	       {
		    V TA, TN, TU, TS, TK, TV, Tl, TR, TJ, Tj;
		    TA = VFNMS(LDK(KP951056516), Tz, VMUL(LDK(KP587785252), Ts));
		    TN = VFNMS(LDK(KP951056516), TM, VMUL(LDK(KP587785252), TL));
		    TU = VFMA(LDK(KP951056516), TL, VMUL(LDK(KP587785252), TM));
		    TS = VFMA(LDK(KP951056516), Ts, VMUL(LDK(KP587785252), Tz));
		    TJ = VFNMS(LDK(KP250000000), TI, TH);
		    TK = VSUB(TE, TJ);
		    TV = VADD(TE, TJ);
		    Tj = VFNMS(LDK(KP250000000), Ti, T3);
		    Tl = VSUB(Tj, Tk);
		    TR = VADD(Tk, Tj);
		    {
			 V TB, TO, TX, TY;
			 TB = VSUB(Tl, TA);
			 TO = VBYI(VSUB(TK, TN));
			 ST(&(xo[WS(os, 17)]), VSUB(TB, TO), ovs, &(xo[WS(os, 1)]));
			 ST(&(xo[WS(os, 3)]), VADD(TB, TO), ovs, &(xo[WS(os, 1)]));
			 TX = VADD(TR, TS);
			 TY = VBYI(VSUB(TV, TU));
			 ST(&(xo[WS(os, 11)]), VSUB(TX, TY), ovs, &(xo[WS(os, 1)]));
			 ST(&(xo[WS(os, 9)]), VADD(TX, TY), ovs, &(xo[WS(os, 1)]));
		    }
		    {
			 V TP, TQ, TT, TW;
			 TP = VADD(Tl, TA);
			 TQ = VBYI(VADD(TN, TK));
			 ST(&(xo[WS(os, 13)]), VSUB(TP, TQ), ovs, &(xo[WS(os, 1)]));
			 ST(&(xo[WS(os, 7)]), VADD(TP, TQ), ovs, &(xo[WS(os, 1)]));
			 TT = VSUB(TR, TS);
			 TW = VBYI(VADD(TU, TV));
			 ST(&(xo[WS(os, 19)]), VSUB(TT, TW), ovs, &(xo[WS(os, 1)]));
			 ST(&(xo[WS(os, 1)]), VADD(TT, TW), ovs, &(xo[WS(os, 1)]));
		    }
	       }
	  }
     }
     VLEAVE();
}

static const kdft_desc desc = { 20, XSIMD_STRING("n1bv_20"), {92, 12, 12, 0}, &GENUS, 0, 0, 0, 0 };

void XSIMD(codelet_n1bv_20) (planner *p) {
     X(kdft_register) (p, n1bv_20, &desc);
}

#endif				/* HAVE_FMA */