diff src/fftw-3.3.3/dft/simd/common/t1bv_16.c @ 10:37bf6b4a2645

Add FFTW3

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/fftw-3.3.3/dft/simd/common/t1bv_16.c	Wed Mar 20 15:35:50 2013 +0000
@@ -0,0 +1,418 @@
+/*
+ * 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 07:39:04 EST 2012 */
+
+#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 -n 16 -name t1bv_16 -include t1b.h -sign 1 */
+
+/*
+ * This function contains 87 FP additions, 64 FP multiplications,
+ * (or, 53 additions, 30 multiplications, 34 fused multiply/add),
+ * 61 stack variables, 3 constants, and 32 memory accesses
+ */
+#include "t1b.h"
+
+static void t1bv_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) * 30)); m < me; m = m + VL, x = x + (VL * ms), W = W + (TWVL * 30), MAKE_VOLATILE_STRIDE(16, rs)) {
+	       V TO, Ta, TJ, TP, T14, Tq, T1i, T10, T1b, T1l, T13, T1c, TR, Tl, T15;
+	       V Tv;
+	       {
+		    V Tc, TW, T4, T19, T9, TD, TI, Tj, TZ, T1a, Te, Th, Tn, Tr, Tu;
+		    V Tp;
+		    {
+			 V T1, T2, T5, T7;
+			 T1 = LD(&(x[0]), ms, &(x[0]));
+			 T2 = LD(&(x[WS(rs, 8)]), ms, &(x[0]));
+			 T5 = LD(&(x[WS(rs, 4)]), ms, &(x[0]));
+			 T7 = LD(&(x[WS(rs, 12)]), ms, &(x[0]));
+			 {
+			      V Tz, TG, TB, TE;
+			      Tz = LD(&(x[WS(rs, 2)]), ms, &(x[0]));
+			      TG = LD(&(x[WS(rs, 6)]), ms, &(x[0]));
+			      TB = LD(&(x[WS(rs, 10)]), ms, &(x[0]));
+			      TE = LD(&(x[WS(rs, 14)]), ms, &(x[0]));
+			      {
+				   V Ti, TX, TY, Td, Tg, Tm, Tt, To;
+				   {
+					V T3, T6, T8, TA, TH, TC, TF, Tb;
+					Tb = LD(&(x[WS(rs, 1)]), ms, &(x[WS(rs, 1)]));
+					T3 = BYTW(&(W[TWVL * 14]), T2);
+					T6 = BYTW(&(W[TWVL * 6]), T5);
+					T8 = BYTW(&(W[TWVL * 22]), T7);
+					TA = BYTW(&(W[TWVL * 2]), Tz);
+					TH = BYTW(&(W[TWVL * 10]), TG);
+					TC = BYTW(&(W[TWVL * 18]), TB);
+					TF = BYTW(&(W[TWVL * 26]), TE);
+					Tc = BYTW(&(W[0]), Tb);
+					TW = VSUB(T1, T3);
+					T4 = VADD(T1, T3);
+					T19 = VSUB(T6, T8);
+					T9 = VADD(T6, T8);
+					Ti = LD(&(x[WS(rs, 13)]), ms, &(x[WS(rs, 1)]));
+					TD = VADD(TA, TC);
+					TX = VSUB(TA, TC);
+					TI = VADD(TF, TH);
+					TY = VSUB(TF, TH);
+				   }
+				   Td = LD(&(x[WS(rs, 9)]), ms, &(x[WS(rs, 1)]));
+				   Tg = LD(&(x[WS(rs, 5)]), ms, &(x[WS(rs, 1)]));
+				   Tm = LD(&(x[WS(rs, 15)]), ms, &(x[WS(rs, 1)]));
+				   Tj = BYTW(&(W[TWVL * 24]), Ti);
+				   Tt = LD(&(x[WS(rs, 11)]), ms, &(x[WS(rs, 1)]));
+				   To = LD(&(x[WS(rs, 7)]), ms, &(x[WS(rs, 1)]));
+				   TZ = VADD(TX, TY);
+				   T1a = VSUB(TX, TY);
+				   Te = BYTW(&(W[TWVL * 16]), Td);
+				   Th = BYTW(&(W[TWVL * 8]), Tg);
+				   Tn = BYTW(&(W[TWVL * 28]), Tm);
+				   Tr = LD(&(x[WS(rs, 3)]), ms, &(x[WS(rs, 1)]));
+				   Tu = BYTW(&(W[TWVL * 20]), Tt);
+				   Tp = BYTW(&(W[TWVL * 12]), To);
+			      }
+			 }
+		    }
+		    {
+			 V Tf, T11, Tk, T12, Ts;
+			 TO = VADD(T4, T9);
+			 Ta = VSUB(T4, T9);
+			 TJ = VSUB(TD, TI);
+			 TP = VADD(TD, TI);
+			 Tf = VADD(Tc, Te);
+			 T11 = VSUB(Tc, Te);
+			 Tk = VADD(Th, Tj);
+			 T12 = VSUB(Th, Tj);
+			 Ts = BYTW(&(W[TWVL * 4]), Tr);
+			 T14 = VSUB(Tn, Tp);
+			 Tq = VADD(Tn, Tp);
+			 T1i = VFNMS(LDK(KP707106781), TZ, TW);
+			 T10 = VFMA(LDK(KP707106781), TZ, TW);
+			 T1b = VFMA(LDK(KP707106781), T1a, T19);
+			 T1l = VFNMS(LDK(KP707106781), T1a, T19);
+			 T13 = VFNMS(LDK(KP414213562), T12, T11);
+			 T1c = VFMA(LDK(KP414213562), T11, T12);
+			 TR = VADD(Tf, Tk);
+			 Tl = VSUB(Tf, Tk);
+			 T15 = VSUB(Tu, Ts);
+			 Tv = VADD(Ts, Tu);
+		    }
+	       }
+	       {
+		    V T1d, T16, TS, Tw, TU, TQ;
+		    T1d = VFMA(LDK(KP414213562), T14, T15);
+		    T16 = VFNMS(LDK(KP414213562), T15, T14);
+		    TS = VADD(Tq, Tv);
+		    Tw = VSUB(Tq, Tv);
+		    TU = VADD(TO, TP);
+		    TQ = VSUB(TO, TP);
+		    {
+			 V T1e, T1j, T17, T1m;
+			 T1e = VSUB(T1c, T1d);
+			 T1j = VADD(T1c, T1d);
+			 T17 = VADD(T13, T16);
+			 T1m = VSUB(T13, T16);
+			 {
+			      V TV, TT, TK, Tx;
+			      TV = VADD(TR, TS);
+			      TT = VSUB(TR, TS);
+			      TK = VSUB(Tl, Tw);
+			      Tx = VADD(Tl, Tw);
+			      {
+				   V T1h, T1f, T1o, T1k;
+				   T1h = VFMA(LDK(KP923879532), T1e, T1b);
+				   T1f = VFNMS(LDK(KP923879532), T1e, T1b);
+				   T1o = VFMA(LDK(KP923879532), T1j, T1i);
+				   T1k = VFNMS(LDK(KP923879532), T1j, T1i);
+				   {
+					V T1g, T18, T1p, T1n;
+					T1g = VFMA(LDK(KP923879532), T17, T10);
+					T18 = VFNMS(LDK(KP923879532), T17, T10);
+					T1p = VFNMS(LDK(KP923879532), T1m, T1l);
+					T1n = VFMA(LDK(KP923879532), T1m, T1l);
+					ST(&(x[WS(rs, 8)]), VSUB(TU, TV), ms, &(x[0]));
+					ST(&(x[0]), VADD(TU, TV), ms, &(x[0]));
+					ST(&(x[WS(rs, 4)]), VFMAI(TT, TQ), ms, &(x[0]));
+					ST(&(x[WS(rs, 12)]), VFNMSI(TT, TQ), ms, &(x[0]));
+					{
+					     V TN, TL, TM, Ty;
+					     TN = VFMA(LDK(KP707106781), TK, TJ);
+					     TL = VFNMS(LDK(KP707106781), TK, TJ);
+					     TM = VFMA(LDK(KP707106781), Tx, Ta);
+					     Ty = VFNMS(LDK(KP707106781), Tx, Ta);
+					     ST(&(x[WS(rs, 15)]), VFNMSI(T1h, T1g), ms, &(x[WS(rs, 1)]));
+					     ST(&(x[WS(rs, 1)]), VFMAI(T1h, T1g), ms, &(x[WS(rs, 1)]));
+					     ST(&(x[WS(rs, 9)]), VFMAI(T1f, T18), ms, &(x[WS(rs, 1)]));
+					     ST(&(x[WS(rs, 7)]), VFNMSI(T1f, T18), ms, &(x[WS(rs, 1)]));
+					     ST(&(x[WS(rs, 3)]), VFNMSI(T1p, T1o), ms, &(x[WS(rs, 1)]));
+					     ST(&(x[WS(rs, 13)]), VFMAI(T1p, T1o), ms, &(x[WS(rs, 1)]));
+					     ST(&(x[WS(rs, 11)]), VFNMSI(T1n, T1k), ms, &(x[WS(rs, 1)]));
+					     ST(&(x[WS(rs, 5)]), VFMAI(T1n, T1k), ms, &(x[WS(rs, 1)]));
+					     ST(&(x[WS(rs, 2)]), VFMAI(TN, TM), ms, &(x[0]));
+					     ST(&(x[WS(rs, 14)]), VFNMSI(TN, TM), ms, &(x[0]));
+					     ST(&(x[WS(rs, 10)]), VFMAI(TL, Ty), ms, &(x[0]));
+					     ST(&(x[WS(rs, 6)]), VFNMSI(TL, Ty), ms, &(x[0]));
+					}
+				   }
+			      }
+			 }
+		    }
+	       }
+	  }
+     }
+     VLEAVE();
+}
+
+static const tw_instr twinstr[] = {
+     VTW(0, 1),
+     VTW(0, 2),
+     VTW(0, 3),
+     VTW(0, 4),
+     VTW(0, 5),
+     VTW(0, 6),
+     VTW(0, 7),
+     VTW(0, 8),
+     VTW(0, 9),
+     VTW(0, 10),
+     VTW(0, 11),
+     VTW(0, 12),
+     VTW(0, 13),
+     VTW(0, 14),
+     VTW(0, 15),
+     {TW_NEXT, VL, 0}
+};
+
+static const ct_desc desc = { 16, XSIMD_STRING("t1bv_16"), twinstr, &GENUS, {53, 30, 34, 0}, 0, 0, 0 };
+
+void XSIMD(codelet_t1bv_16) (planner *p) {
+     X(kdft_dit_register) (p, t1bv_16, &desc);
+}
+#else				/* HAVE_FMA */
+
+/* Generated by: ../../../genfft/gen_twiddle_c.native -simd -compact -variables 4 -pipeline-latency 8 -n 16 -name t1bv_16 -include t1b.h -sign 1 */
+
+/*
+ * This function contains 87 FP additions, 42 FP multiplications,
+ * (or, 83 additions, 38 multiplications, 4 fused multiply/add),
+ * 36 stack variables, 3 constants, and 32 memory accesses
+ */
+#include "t1b.h"
+
+static void t1bv_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) * 30)); m < me; m = m + VL, x = x + (VL * ms), W = W + (TWVL * 30), MAKE_VOLATILE_STRIDE(16, rs)) {
+	       V TJ, T1b, TD, T1c, T17, T18, Ty, TK, T10, T11, T12, Tb, TM, T13, T14;
+	       V T15, Tm, TN, TG, TI, TH;
+	       TG = LD(&(x[0]), ms, &(x[0]));
+	       TH = LD(&(x[WS(rs, 8)]), ms, &(x[0]));
+	       TI = BYTW(&(W[TWVL * 14]), TH);
+	       TJ = VSUB(TG, TI);
+	       T1b = VADD(TG, TI);
+	       {
+		    V TA, TC, Tz, TB;
+		    Tz = LD(&(x[WS(rs, 4)]), ms, &(x[0]));
+		    TA = BYTW(&(W[TWVL * 6]), Tz);
+		    TB = LD(&(x[WS(rs, 12)]), ms, &(x[0]));
+		    TC = BYTW(&(W[TWVL * 22]), TB);
+		    TD = VSUB(TA, TC);
+		    T1c = VADD(TA, TC);
+	       }
+	       {
+		    V Tp, Tw, Tr, Tu, Ts, Tx;
+		    {
+			 V To, Tv, Tq, Tt;
+			 To = LD(&(x[WS(rs, 2)]), ms, &(x[0]));
+			 Tp = BYTW(&(W[TWVL * 2]), To);
+			 Tv = LD(&(x[WS(rs, 6)]), ms, &(x[0]));
+			 Tw = BYTW(&(W[TWVL * 10]), Tv);
+			 Tq = LD(&(x[WS(rs, 10)]), ms, &(x[0]));
+			 Tr = BYTW(&(W[TWVL * 18]), Tq);
+			 Tt = LD(&(x[WS(rs, 14)]), ms, &(x[0]));
+			 Tu = BYTW(&(W[TWVL * 26]), Tt);
+		    }
+		    T17 = VADD(Tp, Tr);
+		    T18 = VADD(Tu, Tw);
+		    Ts = VSUB(Tp, Tr);
+		    Tx = VSUB(Tu, Tw);
+		    Ty = VMUL(LDK(KP707106781), VSUB(Ts, Tx));
+		    TK = VMUL(LDK(KP707106781), VADD(Ts, Tx));
+	       }
+	       {
+		    V T2, T9, T4, T7, T5, Ta;
+		    {
+			 V T1, T8, T3, T6;
+			 T1 = LD(&(x[WS(rs, 1)]), ms, &(x[WS(rs, 1)]));
+			 T2 = BYTW(&(W[0]), T1);
+			 T8 = LD(&(x[WS(rs, 13)]), ms, &(x[WS(rs, 1)]));
+			 T9 = BYTW(&(W[TWVL * 24]), T8);
+			 T3 = LD(&(x[WS(rs, 9)]), ms, &(x[WS(rs, 1)]));
+			 T4 = BYTW(&(W[TWVL * 16]), T3);
+			 T6 = LD(&(x[WS(rs, 5)]), ms, &(x[WS(rs, 1)]));
+			 T7 = BYTW(&(W[TWVL * 8]), T6);
+		    }
+		    T10 = VADD(T2, T4);
+		    T11 = VADD(T7, T9);
+		    T12 = VSUB(T10, T11);
+		    T5 = VSUB(T2, T4);
+		    Ta = VSUB(T7, T9);
+		    Tb = VFNMS(LDK(KP382683432), Ta, VMUL(LDK(KP923879532), T5));
+		    TM = VFMA(LDK(KP382683432), T5, VMUL(LDK(KP923879532), Ta));
+	       }
+	       {
+		    V Td, Tk, Tf, Ti, Tg, Tl;
+		    {
+			 V Tc, Tj, Te, Th;
+			 Tc = LD(&(x[WS(rs, 15)]), ms, &(x[WS(rs, 1)]));
+			 Td = BYTW(&(W[TWVL * 28]), Tc);
+			 Tj = LD(&(x[WS(rs, 11)]), ms, &(x[WS(rs, 1)]));
+			 Tk = BYTW(&(W[TWVL * 20]), Tj);
+			 Te = LD(&(x[WS(rs, 7)]), ms, &(x[WS(rs, 1)]));
+			 Tf = BYTW(&(W[TWVL * 12]), Te);
+			 Th = LD(&(x[WS(rs, 3)]), ms, &(x[WS(rs, 1)]));
+			 Ti = BYTW(&(W[TWVL * 4]), Th);
+		    }
+		    T13 = VADD(Td, Tf);
+		    T14 = VADD(Ti, Tk);
+		    T15 = VSUB(T13, T14);
+		    Tg = VSUB(Td, Tf);
+		    Tl = VSUB(Ti, Tk);
+		    Tm = VFMA(LDK(KP923879532), Tg, VMUL(LDK(KP382683432), Tl));
+		    TN = VFNMS(LDK(KP382683432), Tg, VMUL(LDK(KP923879532), Tl));
+	       }
+	       {
+		    V T1a, T1g, T1f, T1h;
+		    {
+			 V T16, T19, T1d, T1e;
+			 T16 = VMUL(LDK(KP707106781), VSUB(T12, T15));
+			 T19 = VSUB(T17, T18);
+			 T1a = VBYI(VSUB(T16, T19));
+			 T1g = VBYI(VADD(T19, T16));
+			 T1d = VSUB(T1b, T1c);
+			 T1e = VMUL(LDK(KP707106781), VADD(T12, T15));
+			 T1f = VSUB(T1d, T1e);
+			 T1h = VADD(T1d, T1e);
+		    }
+		    ST(&(x[WS(rs, 6)]), VADD(T1a, T1f), ms, &(x[0]));
+		    ST(&(x[WS(rs, 14)]), VSUB(T1h, T1g), ms, &(x[0]));
+		    ST(&(x[WS(rs, 10)]), VSUB(T1f, T1a), ms, &(x[0]));
+		    ST(&(x[WS(rs, 2)]), VADD(T1g, T1h), ms, &(x[0]));
+	       }
+	       {
+		    V T1k, T1o, T1n, T1p;
+		    {
+			 V T1i, T1j, T1l, T1m;
+			 T1i = VADD(T1b, T1c);
+			 T1j = VADD(T17, T18);
+			 T1k = VSUB(T1i, T1j);
+			 T1o = VADD(T1i, T1j);
+			 T1l = VADD(T10, T11);
+			 T1m = VADD(T13, T14);
+			 T1n = VBYI(VSUB(T1l, T1m));
+			 T1p = VADD(T1l, T1m);
+		    }
+		    ST(&(x[WS(rs, 12)]), VSUB(T1k, T1n), ms, &(x[0]));
+		    ST(&(x[0]), VADD(T1o, T1p), ms, &(x[0]));
+		    ST(&(x[WS(rs, 4)]), VADD(T1k, T1n), ms, &(x[0]));
+		    ST(&(x[WS(rs, 8)]), VSUB(T1o, T1p), ms, &(x[0]));
+	       }
+	       {
+		    V TF, TQ, TP, TR;
+		    {
+			 V Tn, TE, TL, TO;
+			 Tn = VSUB(Tb, Tm);
+			 TE = VSUB(Ty, TD);
+			 TF = VBYI(VSUB(Tn, TE));
+			 TQ = VBYI(VADD(TE, Tn));
+			 TL = VSUB(TJ, TK);
+			 TO = VSUB(TM, TN);
+			 TP = VSUB(TL, TO);
+			 TR = VADD(TL, TO);
+		    }
+		    ST(&(x[WS(rs, 5)]), VADD(TF, TP), ms, &(x[WS(rs, 1)]));
+		    ST(&(x[WS(rs, 13)]), VSUB(TR, TQ), ms, &(x[WS(rs, 1)]));
+		    ST(&(x[WS(rs, 11)]), VSUB(TP, TF), ms, &(x[WS(rs, 1)]));
+		    ST(&(x[WS(rs, 3)]), VADD(TQ, TR), ms, &(x[WS(rs, 1)]));
+	       }
+	       {
+		    V TU, TY, TX, TZ;
+		    {
+			 V TS, TT, TV, TW;
+			 TS = VADD(TJ, TK);
+			 TT = VADD(Tb, Tm);
+			 TU = VADD(TS, TT);
+			 TY = VSUB(TS, TT);
+			 TV = VADD(TD, Ty);
+			 TW = VADD(TM, TN);
+			 TX = VBYI(VADD(TV, TW));
+			 TZ = VBYI(VSUB(TW, TV));
+		    }
+		    ST(&(x[WS(rs, 15)]), VSUB(TU, TX), ms, &(x[WS(rs, 1)]));
+		    ST(&(x[WS(rs, 7)]), VADD(TY, TZ), ms, &(x[WS(rs, 1)]));
+		    ST(&(x[WS(rs, 1)]), VADD(TU, TX), ms, &(x[WS(rs, 1)]));
+		    ST(&(x[WS(rs, 9)]), VSUB(TY, TZ), ms, &(x[WS(rs, 1)]));
+	       }
+	  }
+     }
+     VLEAVE();
+}
+
+static const tw_instr twinstr[] = {
+     VTW(0, 1),
+     VTW(0, 2),
+     VTW(0, 3),
+     VTW(0, 4),
+     VTW(0, 5),
+     VTW(0, 6),
+     VTW(0, 7),
+     VTW(0, 8),
+     VTW(0, 9),
+     VTW(0, 10),
+     VTW(0, 11),
+     VTW(0, 12),
+     VTW(0, 13),
+     VTW(0, 14),
+     VTW(0, 15),
+     {TW_NEXT, VL, 0}
+};
+
+static const ct_desc desc = { 16, XSIMD_STRING("t1bv_16"), twinstr, &GENUS, {83, 38, 4, 0}, 0, 0, 0 };
+
+void XSIMD(codelet_t1bv_16) (planner *p) {
+     X(kdft_dit_register) (p, t1bv_16, &desc);
+}
+#endif				/* HAVE_FMA */