diff src/fftw-3.3.3/dft/scalar/codelets/t2_5.c @ 10:37bf6b4a2645

Add FFTW3

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/fftw-3.3.3/dft/scalar/codelets/t2_5.c	Wed Mar 20 15:35:50 2013 +0000
@@ -0,0 +1,271 @@
+/*
+ * 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 07:36:09 EST 2012 */
+
+#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 -twiddle-log3 -precompute-twiddles -n 5 -name t2_5 -include t.h */
+
+/*
+ * This function contains 44 FP additions, 40 FP multiplications,
+ * (or, 14 additions, 10 multiplications, 30 fused multiply/add),
+ * 47 stack variables, 4 constants, and 20 memory accesses
+ */
+#include "t.h"
+
+static void t2_5(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
+{
+     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
+     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
+     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
+     DK(KP618033988, +0.618033988749894848204586834365638117720309180);
+     {
+	  INT m;
+	  for (m = mb, W = W + (mb * 4); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 4, MAKE_VOLATILE_STRIDE(10, rs)) {
+	       E Ta, T1, TO, Tp, TS, Ti, TL, TC, To, TE, Ts, TF, T2, T8, T5;
+	       E TT, Tt, TG;
+	       T2 = W[0];
+	       Ta = W[3];
+	       T8 = W[2];
+	       T5 = W[1];
+	       {
+		    E Tq, Tr, Te, T9;
+		    T1 = ri[0];
+		    Te = T2 * Ta;
+		    T9 = T2 * T8;
+		    TO = ii[0];
+		    {
+			 E T3, Tf, Tm, Tj, Tb, T4, T6, Tc, Tg;
+			 T3 = ri[WS(rs, 1)];
+			 Tf = FMA(T5, T8, Te);
+			 Tm = FNMS(T5, T8, Te);
+			 Tj = FMA(T5, Ta, T9);
+			 Tb = FNMS(T5, Ta, T9);
+			 T4 = T2 * T3;
+			 T6 = ii[WS(rs, 1)];
+			 Tc = ri[WS(rs, 4)];
+			 Tg = ii[WS(rs, 4)];
+			 {
+			      E Tk, Tl, Tn, TD;
+			      {
+				   E T7, Tz, Th, TB, Ty, Td, TA;
+				   Tk = ri[WS(rs, 2)];
+				   T7 = FMA(T5, T6, T4);
+				   Ty = T2 * T6;
+				   Td = Tb * Tc;
+				   TA = Tb * Tg;
+				   Tl = Tj * Tk;
+				   Tz = FNMS(T5, T3, Ty);
+				   Th = FMA(Tf, Tg, Td);
+				   TB = FNMS(Tf, Tc, TA);
+				   Tn = ii[WS(rs, 2)];
+				   Tp = ri[WS(rs, 3)];
+				   TS = T7 - Th;
+				   Ti = T7 + Th;
+				   TL = Tz + TB;
+				   TC = Tz - TB;
+				   TD = Tj * Tn;
+				   Tq = T8 * Tp;
+				   Tr = ii[WS(rs, 3)];
+			      }
+			      To = FMA(Tm, Tn, Tl);
+			      TE = FNMS(Tm, Tk, TD);
+			 }
+		    }
+		    Ts = FMA(Ta, Tr, Tq);
+		    TF = T8 * Tr;
+	       }
+	       TT = To - Ts;
+	       Tt = To + Ts;
+	       TG = FNMS(Ta, Tp, TF);
+	       {
+		    E TU, TW, TV, TR, Tw, Tu;
+		    TU = FMA(KP618033988, TT, TS);
+		    TW = FNMS(KP618033988, TS, TT);
+		    Tw = Ti - Tt;
+		    Tu = Ti + Tt;
+		    {
+			 E TM, TH, Tv, TI, TK;
+			 TM = TE + TG;
+			 TH = TE - TG;
+			 ri[0] = T1 + Tu;
+			 Tv = FNMS(KP250000000, Tu, T1);
+			 TI = FMA(KP618033988, TH, TC);
+			 TK = FNMS(KP618033988, TC, TH);
+			 {
+			      E TQ, TN, TJ, Tx, TP;
+			      TQ = TL - TM;
+			      TN = TL + TM;
+			      TJ = FNMS(KP559016994, Tw, Tv);
+			      Tx = FMA(KP559016994, Tw, Tv);
+			      ii[0] = TN + TO;
+			      TP = FNMS(KP250000000, TN, TO);
+			      ri[WS(rs, 1)] = FMA(KP951056516, TI, Tx);
+			      ri[WS(rs, 4)] = FNMS(KP951056516, TI, Tx);
+			      ri[WS(rs, 3)] = FMA(KP951056516, TK, TJ);
+			      ri[WS(rs, 2)] = FNMS(KP951056516, TK, TJ);
+			      TV = FNMS(KP559016994, TQ, TP);
+			      TR = FMA(KP559016994, TQ, TP);
+			 }
+		    }
+		    ii[WS(rs, 4)] = FMA(KP951056516, TU, TR);
+		    ii[WS(rs, 1)] = FNMS(KP951056516, TU, TR);
+		    ii[WS(rs, 3)] = FNMS(KP951056516, TW, TV);
+		    ii[WS(rs, 2)] = FMA(KP951056516, TW, TV);
+	       }
+	  }
+     }
+}
+
+static const tw_instr twinstr[] = {
+     {TW_CEXP, 0, 1},
+     {TW_CEXP, 0, 3},
+     {TW_NEXT, 1, 0}
+};
+
+static const ct_desc desc = { 5, "t2_5", twinstr, &GENUS, {14, 10, 30, 0}, 0, 0, 0 };
+
+void X(codelet_t2_5) (planner *p) {
+     X(kdft_dit_register) (p, t2_5, &desc);
+}
+#else				/* HAVE_FMA */
+
+/* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 5 -name t2_5 -include t.h */
+
+/*
+ * This function contains 44 FP additions, 32 FP multiplications,
+ * (or, 30 additions, 18 multiplications, 14 fused multiply/add),
+ * 37 stack variables, 4 constants, and 20 memory accesses
+ */
+#include "t.h"
+
+static void t2_5(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
+{
+     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
+     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
+     DK(KP587785252, +0.587785252292473129168705954639072768597652438);
+     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
+     {
+	  INT m;
+	  for (m = mb, W = W + (mb * 4); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 4, MAKE_VOLATILE_STRIDE(10, rs)) {
+	       E T2, T4, T7, T9, Tb, Tl, Tf, Tj;
+	       {
+		    E T8, Te, Ta, Td;
+		    T2 = W[0];
+		    T4 = W[1];
+		    T7 = W[2];
+		    T9 = W[3];
+		    T8 = T2 * T7;
+		    Te = T4 * T7;
+		    Ta = T4 * T9;
+		    Td = T2 * T9;
+		    Tb = T8 - Ta;
+		    Tl = Td - Te;
+		    Tf = Td + Te;
+		    Tj = T8 + Ta;
+	       }
+	       {
+		    E T1, TI, Ty, TB, TN, TM, TF, TG, TH, Ti, Tr, Ts;
+		    T1 = ri[0];
+		    TI = ii[0];
+		    {
+			 E T6, Tw, Tq, TA, Th, Tx, Tn, Tz;
+			 {
+			      E T3, T5, To, Tp;
+			      T3 = ri[WS(rs, 1)];
+			      T5 = ii[WS(rs, 1)];
+			      T6 = FMA(T2, T3, T4 * T5);
+			      Tw = FNMS(T4, T3, T2 * T5);
+			      To = ri[WS(rs, 3)];
+			      Tp = ii[WS(rs, 3)];
+			      Tq = FMA(T7, To, T9 * Tp);
+			      TA = FNMS(T9, To, T7 * Tp);
+			 }
+			 {
+			      E Tc, Tg, Tk, Tm;
+			      Tc = ri[WS(rs, 4)];
+			      Tg = ii[WS(rs, 4)];
+			      Th = FMA(Tb, Tc, Tf * Tg);
+			      Tx = FNMS(Tf, Tc, Tb * Tg);
+			      Tk = ri[WS(rs, 2)];
+			      Tm = ii[WS(rs, 2)];
+			      Tn = FMA(Tj, Tk, Tl * Tm);
+			      Tz = FNMS(Tl, Tk, Tj * Tm);
+			 }
+			 Ty = Tw - Tx;
+			 TB = Tz - TA;
+			 TN = Tn - Tq;
+			 TM = T6 - Th;
+			 TF = Tw + Tx;
+			 TG = Tz + TA;
+			 TH = TF + TG;
+			 Ti = T6 + Th;
+			 Tr = Tn + Tq;
+			 Ts = Ti + Tr;
+		    }
+		    ri[0] = T1 + Ts;
+		    ii[0] = TH + TI;
+		    {
+			 E TC, TE, Tv, TD, Tt, Tu;
+			 TC = FMA(KP951056516, Ty, KP587785252 * TB);
+			 TE = FNMS(KP587785252, Ty, KP951056516 * TB);
+			 Tt = KP559016994 * (Ti - Tr);
+			 Tu = FNMS(KP250000000, Ts, T1);
+			 Tv = Tt + Tu;
+			 TD = Tu - Tt;
+			 ri[WS(rs, 4)] = Tv - TC;
+			 ri[WS(rs, 3)] = TD + TE;
+			 ri[WS(rs, 1)] = Tv + TC;
+			 ri[WS(rs, 2)] = TD - TE;
+		    }
+		    {
+			 E TO, TP, TL, TQ, TJ, TK;
+			 TO = FMA(KP951056516, TM, KP587785252 * TN);
+			 TP = FNMS(KP587785252, TM, KP951056516 * TN);
+			 TJ = KP559016994 * (TF - TG);
+			 TK = FNMS(KP250000000, TH, TI);
+			 TL = TJ + TK;
+			 TQ = TK - TJ;
+			 ii[WS(rs, 1)] = TL - TO;
+			 ii[WS(rs, 3)] = TQ - TP;
+			 ii[WS(rs, 4)] = TO + TL;
+			 ii[WS(rs, 2)] = TP + TQ;
+		    }
+	       }
+	  }
+     }
+}
+
+static const tw_instr twinstr[] = {
+     {TW_CEXP, 0, 1},
+     {TW_CEXP, 0, 3},
+     {TW_NEXT, 1, 0}
+};
+
+static const ct_desc desc = { 5, "t2_5", twinstr, &GENUS, {30, 18, 14, 0}, 0, 0, 0 };
+
+void X(codelet_t2_5) (planner *p) {
+     X(kdft_dit_register) (p, t2_5, &desc);
+}
+#endif				/* HAVE_FMA */