diff src/fftw-3.3.3/rdft/scalar/r2cf/r2cf_16.c @ 95:89f5e221ed7b

Add FFTW3

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/fftw-3.3.3/rdft/scalar/r2cf/r2cf_16.c	Wed Mar 20 15:35:50 2013 +0000
@@ -0,0 +1,287 @@
+/*
+ * 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 07:39:47 EST 2012 */
+
+#include "codelet-rdft.h"
+
+#ifdef HAVE_FMA
+
+/* Generated by: ../../../genfft/gen_r2cf.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 16 -name r2cf_16 -include r2cf.h */
+
+/*
+ * This function contains 58 FP additions, 20 FP multiplications,
+ * (or, 38 additions, 0 multiplications, 20 fused multiply/add),
+ * 38 stack variables, 3 constants, and 32 memory accesses
+ */
+#include "r2cf.h"
+
+static void r2cf_16(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
+{
+     DK(KP923879532, +0.923879532511286756128183189396788286822416626);
+     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
+     DK(KP414213562, +0.414213562373095048801688724209698078569671875);
+     {
+	  INT i;
+	  for (i = v; i > 0; i = i - 1, R0 = R0 + ivs, R1 = R1 + ivs, Cr = Cr + ovs, Ci = Ci + ovs, MAKE_VOLATILE_STRIDE(64, rs), MAKE_VOLATILE_STRIDE(64, csr), MAKE_VOLATILE_STRIDE(64, csi)) {
+	       E TQ, TP;
+	       {
+		    E TB, TN, Tf, T7, Te, Tv, TO, TE, Tq, TJ, Tp, TI, TT, Ty, Tm;
+		    E Tr, TK, Ts;
+		    {
+			 E TC, Ta, Td, TD;
+			 {
+			      E T1, T2, T4, T5;
+			      T1 = R0[0];
+			      T2 = R0[WS(rs, 4)];
+			      T4 = R0[WS(rs, 2)];
+			      T5 = R0[WS(rs, 6)];
+			      {
+				   E T8, T3, T6, T9, Tb, Tc;
+				   T8 = R0[WS(rs, 1)];
+				   TB = T1 - T2;
+				   T3 = T1 + T2;
+				   TN = T4 - T5;
+				   T6 = T4 + T5;
+				   T9 = R0[WS(rs, 5)];
+				   Tb = R0[WS(rs, 7)];
+				   Tc = R0[WS(rs, 3)];
+				   Tf = T3 - T6;
+				   T7 = T3 + T6;
+				   TC = T8 - T9;
+				   Ta = T8 + T9;
+				   Td = Tb + Tc;
+				   TD = Tb - Tc;
+			      }
+			 }
+			 {
+			      E TG, Ti, Tj, Tk, Tg, Th;
+			      Tg = R1[0];
+			      Th = R1[WS(rs, 4)];
+			      Te = Ta + Td;
+			      Tv = Td - Ta;
+			      TO = TD - TC;
+			      TE = TC + TD;
+			      TG = Tg - Th;
+			      Ti = Tg + Th;
+			      Tj = R1[WS(rs, 2)];
+			      Tk = R1[WS(rs, 6)];
+			      {
+				   E Tn, To, TH, Tl;
+				   Tn = R1[WS(rs, 7)];
+				   To = R1[WS(rs, 3)];
+				   Tq = R1[WS(rs, 1)];
+				   TH = Tj - Tk;
+				   Tl = Tj + Tk;
+				   TJ = Tn - To;
+				   Tp = Tn + To;
+				   TI = FNMS(KP414213562, TH, TG);
+				   TT = FMA(KP414213562, TG, TH);
+				   Ty = Ti + Tl;
+				   Tm = Ti - Tl;
+				   Tr = R1[WS(rs, 5)];
+			      }
+			 }
+		    }
+		    Cr[WS(csr, 4)] = T7 - Te;
+		    TK = Tr - Tq;
+		    Ts = Tq + Tr;
+		    {
+			 E Tx, TV, TF, TS, Tz, Tt, TM, TL;
+			 Tx = T7 + Te;
+			 TV = FNMS(KP707106781, TE, TB);
+			 TF = FMA(KP707106781, TE, TB);
+			 TL = FNMS(KP414213562, TK, TJ);
+			 TS = FMA(KP414213562, TJ, TK);
+			 Tz = Tp + Ts;
+			 Tt = Tp - Ts;
+			 TM = TI + TL;
+			 TQ = TL - TI;
+			 {
+			      E TR, TU, TW, TA, Tw, Tu;
+			      TP = FMA(KP707106781, TO, TN);
+			      TR = FNMS(KP707106781, TO, TN);
+			      TA = Ty + Tz;
+			      Ci[WS(csi, 4)] = Tz - Ty;
+			      Tw = Tt - Tm;
+			      Tu = Tm + Tt;
+			      Cr[WS(csr, 1)] = FMA(KP923879532, TM, TF);
+			      Cr[WS(csr, 7)] = FNMS(KP923879532, TM, TF);
+			      Cr[0] = Tx + TA;
+			      Cr[WS(csr, 8)] = Tx - TA;
+			      Ci[WS(csi, 6)] = FMS(KP707106781, Tw, Tv);
+			      Ci[WS(csi, 2)] = FMA(KP707106781, Tw, Tv);
+			      Cr[WS(csr, 2)] = FMA(KP707106781, Tu, Tf);
+			      Cr[WS(csr, 6)] = FNMS(KP707106781, Tu, Tf);
+			      TU = TS - TT;
+			      TW = TT + TS;
+			      Ci[WS(csi, 7)] = FMA(KP923879532, TU, TR);
+			      Ci[WS(csi, 1)] = FMS(KP923879532, TU, TR);
+			      Cr[WS(csr, 3)] = FMA(KP923879532, TW, TV);
+			      Cr[WS(csr, 5)] = FNMS(KP923879532, TW, TV);
+			 }
+		    }
+	       }
+	       Ci[WS(csi, 5)] = FMS(KP923879532, TQ, TP);
+	       Ci[WS(csi, 3)] = FMA(KP923879532, TQ, TP);
+	  }
+     }
+}
+
+static const kr2c_desc desc = { 16, "r2cf_16", {38, 0, 20, 0}, &GENUS };
+
+void X(codelet_r2cf_16) (planner *p) {
+     X(kr2c_register) (p, r2cf_16, &desc);
+}
+
+#else				/* HAVE_FMA */
+
+/* Generated by: ../../../genfft/gen_r2cf.native -compact -variables 4 -pipeline-latency 4 -n 16 -name r2cf_16 -include r2cf.h */
+
+/*
+ * This function contains 58 FP additions, 12 FP multiplications,
+ * (or, 54 additions, 8 multiplications, 4 fused multiply/add),
+ * 34 stack variables, 3 constants, and 32 memory accesses
+ */
+#include "r2cf.h"
+
+static void r2cf_16(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
+{
+     DK(KP923879532, +0.923879532511286756128183189396788286822416626);
+     DK(KP382683432, +0.382683432365089771728459984030398866761344562);
+     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
+     {
+	  INT i;
+	  for (i = v; i > 0; i = i - 1, R0 = R0 + ivs, R1 = R1 + ivs, Cr = Cr + ovs, Ci = Ci + ovs, MAKE_VOLATILE_STRIDE(64, rs), MAKE_VOLATILE_STRIDE(64, csr), MAKE_VOLATILE_STRIDE(64, csi)) {
+	       E T3, T6, T7, Tz, Ti, Ta, Td, Te, TA, Th, Tq, TV, TF, TP, Tx;
+	       E TU, TE, TM, Tg, Tf, TJ, TQ;
+	       {
+		    E T1, T2, T4, T5;
+		    T1 = R0[0];
+		    T2 = R0[WS(rs, 4)];
+		    T3 = T1 + T2;
+		    T4 = R0[WS(rs, 2)];
+		    T5 = R0[WS(rs, 6)];
+		    T6 = T4 + T5;
+		    T7 = T3 + T6;
+		    Tz = T1 - T2;
+		    Ti = T4 - T5;
+	       }
+	       {
+		    E T8, T9, Tb, Tc;
+		    T8 = R0[WS(rs, 1)];
+		    T9 = R0[WS(rs, 5)];
+		    Ta = T8 + T9;
+		    Tg = T8 - T9;
+		    Tb = R0[WS(rs, 7)];
+		    Tc = R0[WS(rs, 3)];
+		    Td = Tb + Tc;
+		    Tf = Tb - Tc;
+	       }
+	       Te = Ta + Td;
+	       TA = KP707106781 * (Tg + Tf);
+	       Th = KP707106781 * (Tf - Tg);
+	       {
+		    E Tm, TN, Tp, TO;
+		    {
+			 E Tk, Tl, Tn, To;
+			 Tk = R1[WS(rs, 7)];
+			 Tl = R1[WS(rs, 3)];
+			 Tm = Tk - Tl;
+			 TN = Tk + Tl;
+			 Tn = R1[WS(rs, 1)];
+			 To = R1[WS(rs, 5)];
+			 Tp = Tn - To;
+			 TO = Tn + To;
+		    }
+		    Tq = FNMS(KP923879532, Tp, KP382683432 * Tm);
+		    TV = TN + TO;
+		    TF = FMA(KP923879532, Tm, KP382683432 * Tp);
+		    TP = TN - TO;
+	       }
+	       {
+		    E Tt, TK, Tw, TL;
+		    {
+			 E Tr, Ts, Tu, Tv;
+			 Tr = R1[0];
+			 Ts = R1[WS(rs, 4)];
+			 Tt = Tr - Ts;
+			 TK = Tr + Ts;
+			 Tu = R1[WS(rs, 2)];
+			 Tv = R1[WS(rs, 6)];
+			 Tw = Tu - Tv;
+			 TL = Tu + Tv;
+		    }
+		    Tx = FMA(KP382683432, Tt, KP923879532 * Tw);
+		    TU = TK + TL;
+		    TE = FNMS(KP382683432, Tw, KP923879532 * Tt);
+		    TM = TK - TL;
+	       }
+	       Cr[WS(csr, 4)] = T7 - Te;
+	       Ci[WS(csi, 4)] = TV - TU;
+	       {
+		    E Tj, Ty, TD, TG;
+		    Tj = Th - Ti;
+		    Ty = Tq - Tx;
+		    Ci[WS(csi, 1)] = Tj + Ty;
+		    Ci[WS(csi, 7)] = Ty - Tj;
+		    TD = Tz + TA;
+		    TG = TE + TF;
+		    Cr[WS(csr, 7)] = TD - TG;
+		    Cr[WS(csr, 1)] = TD + TG;
+	       }
+	       {
+		    E TB, TC, TH, TI;
+		    TB = Tz - TA;
+		    TC = Tx + Tq;
+		    Cr[WS(csr, 5)] = TB - TC;
+		    Cr[WS(csr, 3)] = TB + TC;
+		    TH = Ti + Th;
+		    TI = TF - TE;
+		    Ci[WS(csi, 3)] = TH + TI;
+		    Ci[WS(csi, 5)] = TI - TH;
+	       }
+	       TJ = T3 - T6;
+	       TQ = KP707106781 * (TM + TP);
+	       Cr[WS(csr, 6)] = TJ - TQ;
+	       Cr[WS(csr, 2)] = TJ + TQ;
+	       {
+		    E TR, TS, TT, TW;
+		    TR = Td - Ta;
+		    TS = KP707106781 * (TP - TM);
+		    Ci[WS(csi, 2)] = TR + TS;
+		    Ci[WS(csi, 6)] = TS - TR;
+		    TT = T7 + Te;
+		    TW = TU + TV;
+		    Cr[WS(csr, 8)] = TT - TW;
+		    Cr[0] = TT + TW;
+	       }
+	  }
+     }
+}
+
+static const kr2c_desc desc = { 16, "r2cf_16", {54, 8, 4, 0}, &GENUS };
+
+void X(codelet_r2cf_16) (planner *p) {
+     X(kr2c_register) (p, r2cf_16, &desc);
+}
+
+#endif				/* HAVE_FMA */