annotate fft/fftw/fftw-3.3.4/dft/simd/common/t3bv_16.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 13:47:47 EST 2014 */

#include "codelet-dft.h"

#ifdef HAVE_FMA

/* Generated by: ../../../genfft/gen_twiddle_c.native -fma -reorder-insns -schedule-for-pipeline -simd -compact -variables 4 -pipeline-latency 8 -twiddle-log3 -precompute-twiddles -no-generate-bytw -n 16 -name t3bv_16 -include t3b.h -sign 1 */

/*
 * This function contains 98 FP additions, 86 FP multiplications,
 * (or, 64 additions, 52 multiplications, 34 fused multiply/add),
 * 70 stack variables, 3 constants, and 32 memory accesses
 */
#include "t3b.h"

static void t3bv_16(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DVK(KP923879532, +0.923879532511286756128183189396788286822416626);
     DVK(KP414213562, +0.414213562373095048801688724209698078569671875);
     DVK(KP707106781, +0.707106781186547524400844362104849039284835938);
     {
	  INT m;
	  R *x;
	  x = ii;
	  for (m = mb, W = W + (mb * ((TWVL / VL) * 8)); m < me; m = m + VL, x = x + (VL * ms), W = W + (TWVL * 8), MAKE_VOLATILE_STRIDE(16, rs)) {
	       V T13, Tg, TY, T14, T1A, T1q, T1f, T1x, T1r, T1i, Tt, T16, TB, T1j, T1k;
	       V TH;
	       {
		    V T2, T8, Tu, T3;
		    T2 = LDW(&(W[0]));
		    T8 = LDW(&(W[TWVL * 2]));
		    Tu = LDW(&(W[TWVL * 6]));
		    T3 = LDW(&(W[TWVL * 4]));
		    {
			 V Ty, T1o, Tf, T1b, T7, Tr, TQ, TX, T1g, Tl, To, Tw, TG, Tz, T1p;
			 V T1e, TC;
			 {
			      V T1, T5, Ta, Td;
			      T1 = LD(&(x[0]), ms, &(x[0]));
			      T5 = LD(&(x[WS(rs, 8)]), ms, &(x[0]));
			      Ta = LD(&(x[WS(rs, 4)]), ms, &(x[0]));
			      Td = LD(&(x[WS(rs, 12)]), ms, &(x[0]));
			      {
				   V TR, TN, TM, TE, Tb, Tp, Tm, Te, T6, TW, TO, TS;
				   {
					V TL, Tx, T9, TU, Tc, T4, TV;
					TL = LD(&(x[WS(rs, 2)]), ms, &(x[0]));
					Tx = VZMULJ(T2, T8);
					T9 = VZMUL(T2, T8);
					TR = VZMULJ(T2, Tu);
					TU = VZMULJ(T8, T3);
					Tc = VZMUL(T8, T3);
					T4 = VZMULJ(T2, T3);
					TN = VZMUL(T2, T3);
					TV = LD(&(x[WS(rs, 6)]), ms, &(x[0]));
					TM = VZMUL(Tx, TL);
					Ty = VZMULJ(Tx, T3);
					TE = VZMUL(Tx, T3);
					Tb = VZMUL(T9, Ta);
					Tp = VZMUL(T9, T3);
					Tm = VZMULJ(T9, T3);
					Te = VZMUL(Tc, Td);
					T6 = VZMUL(T4, T5);
					TW = VZMUL(TU, TV);
				   }
				   TO = LD(&(x[WS(rs, 10)]), ms, &(x[0]));
				   TS = LD(&(x[WS(rs, 14)]), ms, &(x[0]));
				   {
					V TP, TT, Ti, Tk, Tn, Th, Tq, Tj;
					Th = LD(&(x[WS(rs, 1)]), ms, &(x[WS(rs, 1)]));
					Tq = LD(&(x[WS(rs, 13)]), ms, &(x[WS(rs, 1)]));
					Tj = LD(&(x[WS(rs, 9)]), ms, &(x[WS(rs, 1)]));
					T1o = VSUB(Tb, Te);
					Tf = VADD(Tb, Te);
					T1b = VSUB(T1, T6);
					T7 = VADD(T1, T6);
					TP = VZMUL(TN, TO);
					TT = VZMUL(TR, TS);
					Ti = VZMUL(T2, Th);
					Tr = VZMUL(Tp, Tq);
					Tk = VZMUL(T3, Tj);
					Tn = LD(&(x[WS(rs, 5)]), ms, &(x[WS(rs, 1)]));
					{
					     V T1c, T1d, Tv, TF;
					     Tv = LD(&(x[WS(rs, 15)]), ms, &(x[WS(rs, 1)]));
					     TF = LD(&(x[WS(rs, 11)]), ms, &(x[WS(rs, 1)]));
					     T1c = VSUB(TM, TP);
					     TQ = VADD(TM, TP);
					     T1d = VSUB(TT, TW);
					     TX = VADD(TT, TW);
					     T1g = VSUB(Ti, Tk);
					     Tl = VADD(Ti, Tk);
					     To = VZMUL(Tm, Tn);
					     Tw = VZMUL(Tu, Tv);
					     TG = VZMUL(TE, TF);
					     Tz = LD(&(x[WS(rs, 7)]), ms, &(x[WS(rs, 1)]));
					     T1p = VSUB(T1c, T1d);
					     T1e = VADD(T1c, T1d);
					     TC = LD(&(x[WS(rs, 3)]), ms, &(x[WS(rs, 1)]));
					}
				   }
			      }
			 }
			 {
			      V T1h, Ts, TA, TD;
			      T13 = VADD(T7, Tf);
			      Tg = VSUB(T7, Tf);
			      T1h = VSUB(To, Tr);
			      Ts = VADD(To, Tr);
			      TY = VSUB(TQ, TX);
			      T14 = VADD(TQ, TX);
			      TA = VZMUL(Ty, Tz);
			      T1A = VFNMS(LDK(KP707106781), T1p, T1o);
			      T1q = VFMA(LDK(KP707106781), T1p, T1o);
			      T1f = VFMA(LDK(KP707106781), T1e, T1b);
			      T1x = VFNMS(LDK(KP707106781), T1e, T1b);
			      TD = VZMUL(T8, TC);
			      T1r = VFMA(LDK(KP414213562), T1g, T1h);
			      T1i = VFNMS(LDK(KP414213562), T1h, T1g);
			      Tt = VSUB(Tl, Ts);
			      T16 = VADD(Tl, Ts);
			      TB = VADD(Tw, TA);
			      T1j = VSUB(Tw, TA);
			      T1k = VSUB(TG, TD);
			      TH = VADD(TD, TG);
			 }
		    }
	       }
	       {
		    V T15, T19, T1l, T1s, TI, T17;
		    T15 = VSUB(T13, T14);
		    T19 = VADD(T13, T14);
		    T1l = VFNMS(LDK(KP414213562), T1k, T1j);
		    T1s = VFMA(LDK(KP414213562), T1j, T1k);
		    TI = VSUB(TB, TH);
		    T17 = VADD(TB, TH);
		    {
			 V T1y, T1t, T1B, T1m;
			 T1y = VADD(T1r, T1s);
			 T1t = VSUB(T1r, T1s);
			 T1B = VSUB(T1i, T1l);
			 T1m = VADD(T1i, T1l);
			 {
			      V T18, T1a, TJ, TZ;
			      T18 = VSUB(T16, T17);
			      T1a = VADD(T16, T17);
			      TJ = VADD(Tt, TI);
			      TZ = VSUB(Tt, TI);
			      {
				   V T1u, T1w, T1z, T1D;
				   T1u = VFNMS(LDK(KP923879532), T1t, T1q);
				   T1w = VFMA(LDK(KP923879532), T1t, T1q);
				   T1z = VFNMS(LDK(KP923879532), T1y, T1x);
				   T1D = VFMA(LDK(KP923879532), T1y, T1x);
				   {
					V T1n, T1v, T1C, T1E;
					T1n = VFNMS(LDK(KP923879532), T1m, T1f);
					T1v = VFMA(LDK(KP923879532), T1m, T1f);
					T1C = VFMA(LDK(KP923879532), T1B, T1A);
					T1E = VFNMS(LDK(KP923879532), T1B, T1A);
					ST(&(x[WS(rs, 8)]), VSUB(T19, T1a), ms, &(x[0]));
					ST(&(x[0]), VADD(T19, T1a), ms, &(x[0]));
					ST(&(x[WS(rs, 4)]), VFMAI(T18, T15), ms, &(x[0]));
					ST(&(x[WS(rs, 12)]), VFNMSI(T18, T15), ms, &(x[0]));
					{
					     V T10, T12, TK, T11;
					     T10 = VFNMS(LDK(KP707106781), TZ, TY);
					     T12 = VFMA(LDK(KP707106781), TZ, TY);
					     TK = VFNMS(LDK(KP707106781), TJ, Tg);
					     T11 = VFMA(LDK(KP707106781), TJ, Tg);
					     ST(&(x[WS(rs, 15)]), VFNMSI(T1w, T1v), ms, &(x[WS(rs, 1)]));
					     ST(&(x[WS(rs, 1)]), VFMAI(T1w, T1v), ms, &(x[WS(rs, 1)]));
					     ST(&(x[WS(rs, 9)]), VFMAI(T1u, T1n), ms, &(x[WS(rs, 1)]));
					     ST(&(x[WS(rs, 7)]), VFNMSI(T1u, T1n), ms, &(x[WS(rs, 1)]));
					     ST(&(x[WS(rs, 3)]), VFNMSI(T1E, T1D), ms, &(x[WS(rs, 1)]));
					     ST(&(x[WS(rs, 13)]), VFMAI(T1E, T1D), ms, &(x[WS(rs, 1)]));
					     ST(&(x[WS(rs, 11)]), VFNMSI(T1C, T1z), ms, &(x[WS(rs, 1)]));
					     ST(&(x[WS(rs, 5)]), VFMAI(T1C, T1z), ms, &(x[WS(rs, 1)]));
					     ST(&(x[WS(rs, 2)]), VFMAI(T12, T11), ms, &(x[0]));
					     ST(&(x[WS(rs, 14)]), VFNMSI(T12, T11), ms, &(x[0]));
					     ST(&(x[WS(rs, 10)]), VFMAI(T10, TK), ms, &(x[0]));
					     ST(&(x[WS(rs, 6)]), VFNMSI(T10, TK), ms, &(x[0]));
					}
				   }
			      }
			 }
		    }
	       }
	  }
     }
     VLEAVE();
}

static const tw_instr twinstr[] = {
     VTW(0, 1),
     VTW(0, 3),
     VTW(0, 9),
     VTW(0, 15),
     {TW_NEXT, VL, 0}
};

static const ct_desc desc = { 16, XSIMD_STRING("t3bv_16"), twinstr, &GENUS, {64, 52, 34, 0}, 0, 0, 0 };

void XSIMD(codelet_t3bv_16) (planner *p) {
     X(kdft_dit_register) (p, t3bv_16, &desc);
}
#else				/* HAVE_FMA */

/* Generated by: ../../../genfft/gen_twiddle_c.native -simd -compact -variables 4 -pipeline-latency 8 -twiddle-log3 -precompute-twiddles -no-generate-bytw -n 16 -name t3bv_16 -include t3b.h -sign 1 */

/*
 * This function contains 98 FP additions, 64 FP multiplications,
 * (or, 94 additions, 60 multiplications, 4 fused multiply/add),
 * 51 stack variables, 3 constants, and 32 memory accesses
 */
#include "t3b.h"

static void t3bv_16(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DVK(KP382683432, +0.382683432365089771728459984030398866761344562);
     DVK(KP923879532, +0.923879532511286756128183189396788286822416626);
     DVK(KP707106781, +0.707106781186547524400844362104849039284835938);
     {
	  INT m;
	  R *x;
	  x = ii;
	  for (m = mb, W = W + (mb * ((TWVL / VL) * 8)); m < me; m = m + VL, x = x + (VL * ms), W = W + (TWVL * 8), MAKE_VOLATILE_STRIDE(16, rs)) {
	       V T1, T8, T9, Tl, Ti, TE, T4, Ta, TO, TV, Td, Tm, TA, TH, Ts;
	       T1 = LDW(&(W[0]));
	       T8 = LDW(&(W[TWVL * 2]));
	       T9 = VZMUL(T1, T8);
	       Tl = VZMULJ(T1, T8);
	       Ti = LDW(&(W[TWVL * 6]));
	       TE = VZMULJ(T1, Ti);
	       T4 = LDW(&(W[TWVL * 4]));
	       Ta = VZMULJ(T9, T4);
	       TO = VZMUL(T8, T4);
	       TV = VZMULJ(T1, T4);
	       Td = VZMUL(T9, T4);
	       Tm = VZMULJ(Tl, T4);
	       TA = VZMUL(T1, T4);
	       TH = VZMULJ(T8, T4);
	       Ts = VZMUL(Tl, T4);
	       {
		    V TY, T1q, TR, T1r, T1m, T1n, TL, TZ, T1f, T1g, T1h, Th, T11, T1i, T1j;
		    V T1k, Tw, T12, TU, TX, TW;
		    TU = LD(&(x[0]), ms, &(x[0]));
		    TW = LD(&(x[WS(rs, 8)]), ms, &(x[0]));
		    TX = VZMUL(TV, TW);
		    TY = VSUB(TU, TX);
		    T1q = VADD(TU, TX);
		    {
			 V TN, TQ, TM, TP;
			 TM = LD(&(x[WS(rs, 4)]), ms, &(x[0]));
			 TN = VZMUL(T9, TM);
			 TP = LD(&(x[WS(rs, 12)]), ms, &(x[0]));
			 TQ = VZMUL(TO, TP);
			 TR = VSUB(TN, TQ);
			 T1r = VADD(TN, TQ);
		    }
		    {
			 V Tz, TJ, TC, TG, TD, TK;
			 {
			      V Ty, TI, TB, TF;
			      Ty = LD(&(x[WS(rs, 2)]), ms, &(x[0]));
			      Tz = VZMUL(Tl, Ty);
			      TI = LD(&(x[WS(rs, 6)]), ms, &(x[0]));
			      TJ = VZMUL(TH, TI);
			      TB = LD(&(x[WS(rs, 10)]), ms, &(x[0]));
			      TC = VZMUL(TA, TB);
			      TF = LD(&(x[WS(rs, 14)]), ms, &(x[0]));
			      TG = VZMUL(TE, TF);
			 }
			 T1m = VADD(Tz, TC);
			 T1n = VADD(TG, TJ);
			 TD = VSUB(Tz, TC);
			 TK = VSUB(TG, TJ);
			 TL = VMUL(LDK(KP707106781), VSUB(TD, TK));
			 TZ = VMUL(LDK(KP707106781), VADD(TD, TK));
		    }
		    {
			 V T3, Tf, T6, Tc, T7, Tg;
			 {
			      V T2, Te, T5, Tb;
			      T2 = LD(&(x[WS(rs, 1)]), ms, &(x[WS(rs, 1)]));
			      T3 = VZMUL(T1, T2);
			      Te = LD(&(x[WS(rs, 13)]), ms, &(x[WS(rs, 1)]));
			      Tf = VZMUL(Td, Te);
			      T5 = LD(&(x[WS(rs, 9)]), ms, &(x[WS(rs, 1)]));
			      T6 = VZMUL(T4, T5);
			      Tb = LD(&(x[WS(rs, 5)]), ms, &(x[WS(rs, 1)]));
			      Tc = VZMUL(Ta, Tb);
			 }
			 T1f = VADD(T3, T6);
			 T1g = VADD(Tc, Tf);
			 T1h = VSUB(T1f, T1g);
			 T7 = VSUB(T3, T6);
			 Tg = VSUB(Tc, Tf);
			 Th = VFNMS(LDK(KP382683432), Tg, VMUL(LDK(KP923879532), T7));
			 T11 = VFMA(LDK(KP382683432), T7, VMUL(LDK(KP923879532), Tg));
		    }
		    {
			 V Tk, Tu, To, Tr, Tp, Tv;
			 {
			      V Tj, Tt, Tn, Tq;
			      Tj = LD(&(x[WS(rs, 15)]), ms, &(x[WS(rs, 1)]));
			      Tk = VZMUL(Ti, Tj);
			      Tt = LD(&(x[WS(rs, 11)]), ms, &(x[WS(rs, 1)]));
			      Tu = VZMUL(Ts, Tt);
			      Tn = LD(&(x[WS(rs, 7)]), ms, &(x[WS(rs, 1)]));
			      To = VZMUL(Tm, Tn);
			      Tq = LD(&(x[WS(rs, 3)]), ms, &(x[WS(rs, 1)]));
			      Tr = VZMUL(T8, Tq);
			 }
			 T1i = VADD(Tk, To);
			 T1j = VADD(Tr, Tu);
			 T1k = VSUB(T1i, T1j);
			 Tp = VSUB(Tk, To);
			 Tv = VSUB(Tr, Tu);
			 Tw = VFMA(LDK(KP923879532), Tp, VMUL(LDK(KP382683432), Tv));
			 T12 = VFNMS(LDK(KP382683432), Tp, VMUL(LDK(KP923879532), Tv));
		    }
		    {
			 V T1p, T1v, T1u, T1w;
			 {
			      V T1l, T1o, T1s, T1t;
			      T1l = VMUL(LDK(KP707106781), VSUB(T1h, T1k));
			      T1o = VSUB(T1m, T1n);
			      T1p = VBYI(VSUB(T1l, T1o));
			      T1v = VBYI(VADD(T1o, T1l));
			      T1s = VSUB(T1q, T1r);
			      T1t = VMUL(LDK(KP707106781), VADD(T1h, T1k));
			      T1u = VSUB(T1s, T1t);
			      T1w = VADD(T1s, T1t);
			 }
			 ST(&(x[WS(rs, 6)]), VADD(T1p, T1u), ms, &(x[0]));
			 ST(&(x[WS(rs, 14)]), VSUB(T1w, T1v), ms, &(x[0]));
			 ST(&(x[WS(rs, 10)]), VSUB(T1u, T1p), ms, &(x[0]));
			 ST(&(x[WS(rs, 2)]), VADD(T1v, T1w), ms, &(x[0]));
		    }
		    {
			 V T1z, T1D, T1C, T1E;
			 {
			      V T1x, T1y, T1A, T1B;
			      T1x = VADD(T1q, T1r);
			      T1y = VADD(T1m, T1n);
			      T1z = VSUB(T1x, T1y);
			      T1D = VADD(T1x, T1y);
			      T1A = VADD(T1f, T1g);
			      T1B = VADD(T1i, T1j);
			      T1C = VBYI(VSUB(T1A, T1B));
			      T1E = VADD(T1A, T1B);
			 }
			 ST(&(x[WS(rs, 12)]), VSUB(T1z, T1C), ms, &(x[0]));
			 ST(&(x[0]), VADD(T1D, T1E), ms, &(x[0]));
			 ST(&(x[WS(rs, 4)]), VADD(T1z, T1C), ms, &(x[0]));
			 ST(&(x[WS(rs, 8)]), VSUB(T1D, T1E), ms, &(x[0]));
		    }
		    {
			 V TT, T15, T14, T16;
			 {
			      V Tx, TS, T10, T13;
			      Tx = VSUB(Th, Tw);
			      TS = VSUB(TL, TR);
			      TT = VBYI(VSUB(Tx, TS));
			      T15 = VBYI(VADD(TS, Tx));
			      T10 = VSUB(TY, TZ);
			      T13 = VSUB(T11, T12);
			      T14 = VSUB(T10, T13);
			      T16 = VADD(T10, T13);
			 }
			 ST(&(x[WS(rs, 5)]), VADD(TT, T14), ms, &(x[WS(rs, 1)]));
			 ST(&(x[WS(rs, 13)]), VSUB(T16, T15), ms, &(x[WS(rs, 1)]));
			 ST(&(x[WS(rs, 11)]), VSUB(T14, TT), ms, &(x[WS(rs, 1)]));
			 ST(&(x[WS(rs, 3)]), VADD(T15, T16), ms, &(x[WS(rs, 1)]));
		    }
		    {
			 V T19, T1d, T1c, T1e;
			 {
			      V T17, T18, T1a, T1b;
			      T17 = VADD(TY, TZ);
			      T18 = VADD(Th, Tw);
			      T19 = VADD(T17, T18);
			      T1d = VSUB(T17, T18);
			      T1a = VADD(TR, TL);
			      T1b = VADD(T11, T12);
			      T1c = VBYI(VADD(T1a, T1b));
			      T1e = VBYI(VSUB(T1b, T1a));
			 }
			 ST(&(x[WS(rs, 15)]), VSUB(T19, T1c), ms, &(x[WS(rs, 1)]));
			 ST(&(x[WS(rs, 7)]), VADD(T1d, T1e), ms, &(x[WS(rs, 1)]));
			 ST(&(x[WS(rs, 1)]), VADD(T19, T1c), ms, &(x[WS(rs, 1)]));
			 ST(&(x[WS(rs, 9)]), VSUB(T1d, T1e), ms, &(x[WS(rs, 1)]));
		    }
	       }
	  }
     }
     VLEAVE();
}

static const tw_instr twinstr[] = {
     VTW(0, 1),
     VTW(0, 3),
     VTW(0, 9),
     VTW(0, 15),
     {TW_NEXT, VL, 0}
};

static const ct_desc desc = { 16, XSIMD_STRING("t3bv_16"), twinstr, &GENUS, {94, 60, 4, 0}, 0, 0, 0 };

void XSIMD(codelet_t3bv_16) (planner *p) {
     X(kdft_dit_register) (p, t3bv_16, &desc);
}
#endif				/* HAVE_FMA */