diff src/fftw-3.3.3/rdft/scalar/r2cf/r2cfII_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/r2cfII_16.c	Wed Mar 20 15:35:50 2013 +0000
@@ -0,0 +1,308 @@
+/*
+ * 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 07:40:15 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 r2cfII_16 -dft-II -include r2cfII.h */
+
+/*
+ * This function contains 66 FP additions, 48 FP multiplications,
+ * (or, 18 additions, 0 multiplications, 48 fused multiply/add),
+ * 54 stack variables, 7 constants, and 32 memory accesses
+ */
+#include "r2cfII.h"
+
+static void r2cfII_16(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
+{
+     DK(KP980785280, +0.980785280403230449126182236134239036973933731);
+     DK(KP198912367, +0.198912367379658006911597622644676228597850501);
+     DK(KP831469612, +0.831469612302545237078788377617905756738560812);
+     DK(KP923879532, +0.923879532511286756128183189396788286822416626);
+     DK(KP668178637, +0.668178637919298919997757686523080761552472251);
+     DK(KP414213562, +0.414213562373095048801688724209698078569671875);
+     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 TN, TF, TX, TV, TO, TP, TY, TM, TQ, TW;
+	       {
+		    E TT, TZ, TB, T5, Tu, TK, TJ, Tr, T9, TC, T8, Tl, TH, TG, Ti;
+		    E Ta;
+		    {
+			 E T1, TR, Tn, Ts, To, TS, T4, Tp, T2, T3;
+			 T1 = R0[0];
+			 TR = R0[WS(rs, 4)];
+			 T2 = R0[WS(rs, 2)];
+			 T3 = R0[WS(rs, 6)];
+			 Tn = R1[WS(rs, 7)];
+			 Ts = R1[WS(rs, 3)];
+			 To = R1[WS(rs, 1)];
+			 TS = T2 + T3;
+			 T4 = T2 - T3;
+			 Tp = R1[WS(rs, 5)];
+			 {
+			      E Te, Tj, Tf, Tg, Tt, Tq;
+			      Te = R1[0];
+			      TT = FMA(KP707106781, TS, TR);
+			      TZ = FNMS(KP707106781, TS, TR);
+			      TB = FMA(KP707106781, T4, T1);
+			      T5 = FNMS(KP707106781, T4, T1);
+			      Tt = To + Tp;
+			      Tq = To - Tp;
+			      Tj = R1[WS(rs, 4)];
+			      Tf = R1[WS(rs, 2)];
+			      Tu = FNMS(KP707106781, Tt, Ts);
+			      TK = FMA(KP707106781, Tt, Ts);
+			      TJ = FMS(KP707106781, Tq, Tn);
+			      Tr = FMA(KP707106781, Tq, Tn);
+			      Tg = R1[WS(rs, 6)];
+			      {
+				   E T6, T7, Tk, Th;
+				   T6 = R0[WS(rs, 5)];
+				   T7 = R0[WS(rs, 1)];
+				   T9 = R0[WS(rs, 3)];
+				   Tk = Tf + Tg;
+				   Th = Tf - Tg;
+				   TC = FNMS(KP414213562, T6, T7);
+				   T8 = FMA(KP414213562, T7, T6);
+				   Tl = FNMS(KP707106781, Tk, Tj);
+				   TH = FMA(KP707106781, Tk, Tj);
+				   TG = FMA(KP707106781, Th, Te);
+				   Ti = FNMS(KP707106781, Th, Te);
+				   Ta = R0[WS(rs, 7)];
+			      }
+			 }
+		    }
+		    {
+			 E TE, TU, Ty, Tv, TI, TL;
+			 Ty = FNMS(KP668178637, Tr, Tu);
+			 Tv = FMA(KP668178637, Tu, Tr);
+			 {
+			      E Tw, T14, T12, TA, T11, T13, Tx, Td;
+			      {
+				   E Tz, Tm, TD, Tb, T10, Tc;
+				   Tz = FNMS(KP668178637, Ti, Tl);
+				   Tm = FMA(KP668178637, Tl, Ti);
+				   TD = FMS(KP414213562, T9, Ta);
+				   Tb = FMA(KP414213562, Ta, T9);
+				   Tw = Tm - Tv;
+				   T14 = Tm + Tv;
+				   T10 = TD - TC;
+				   TE = TC + TD;
+				   Tc = T8 - Tb;
+				   TU = T8 + Tb;
+				   T12 = Tz + Ty;
+				   TA = Ty - Tz;
+				   T11 = FMA(KP923879532, T10, TZ);
+				   T13 = FNMS(KP923879532, T10, TZ);
+				   Tx = FNMS(KP923879532, Tc, T5);
+				   Td = FMA(KP923879532, Tc, T5);
+			      }
+			      Ci[WS(csi, 2)] = -(FMA(KP831469612, T14, T13));
+			      Ci[WS(csi, 5)] = FNMS(KP831469612, T14, T13);
+			      Cr[WS(csr, 1)] = FMA(KP831469612, Tw, Td);
+			      Cr[WS(csr, 6)] = FNMS(KP831469612, Tw, Td);
+			      Cr[WS(csr, 5)] = FNMS(KP831469612, TA, Tx);
+			      Ci[WS(csi, 1)] = FMA(KP831469612, T12, T11);
+			      Cr[WS(csr, 2)] = FMA(KP831469612, TA, Tx);
+			      Ci[WS(csi, 6)] = FMS(KP831469612, T12, T11);
+			 }
+			 TN = FNMS(KP923879532, TE, TB);
+			 TF = FMA(KP923879532, TE, TB);
+			 TX = FNMS(KP923879532, TU, TT);
+			 TV = FMA(KP923879532, TU, TT);
+			 TO = FMA(KP198912367, TG, TH);
+			 TI = FNMS(KP198912367, TH, TG);
+			 TL = FMA(KP198912367, TK, TJ);
+			 TP = FNMS(KP198912367, TJ, TK);
+			 TY = TL - TI;
+			 TM = TI + TL;
+		    }
+	       }
+	       Ci[WS(csi, 4)] = FMS(KP980785280, TY, TX);
+	       Ci[WS(csi, 3)] = FMA(KP980785280, TY, TX);
+	       Cr[0] = FMA(KP980785280, TM, TF);
+	       Cr[WS(csr, 7)] = FNMS(KP980785280, TM, TF);
+	       TQ = TO - TP;
+	       TW = TO + TP;
+	       Ci[0] = -(FMA(KP980785280, TW, TV));
+	       Ci[WS(csi, 7)] = FNMS(KP980785280, TW, TV);
+	       Cr[WS(csr, 3)] = FMA(KP980785280, TQ, TN);
+	       Cr[WS(csr, 4)] = FNMS(KP980785280, TQ, TN);
+	  }
+     }
+}
+
+static const kr2c_desc desc = { 16, "r2cfII_16", {18, 0, 48, 0}, &GENUS };
+
+void X(codelet_r2cfII_16) (planner *p) {
+     X(kr2c_register) (p, r2cfII_16, &desc);
+}
+
+#else				/* HAVE_FMA */
+
+/* Generated by: ../../../genfft/gen_r2cf.native -compact -variables 4 -pipeline-latency 4 -n 16 -name r2cfII_16 -dft-II -include r2cfII.h */
+
+/*
+ * This function contains 66 FP additions, 30 FP multiplications,
+ * (or, 54 additions, 18 multiplications, 12 fused multiply/add),
+ * 32 stack variables, 7 constants, and 32 memory accesses
+ */
+#include "r2cfII.h"
+
+static void r2cfII_16(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
+{
+     DK(KP555570233, +0.555570233019602224742830813948532874374937191);
+     DK(KP831469612, +0.831469612302545237078788377617905756738560812);
+     DK(KP980785280, +0.980785280403230449126182236134239036973933731);
+     DK(KP195090322, +0.195090322016128267848284868477022240927691618);
+     DK(KP382683432, +0.382683432365089771728459984030398866761344562);
+     DK(KP923879532, +0.923879532511286756128183189396788286822416626);
+     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 T5, T11, TB, TV, Tr, TK, Tu, TJ, Ti, TH, Tl, TG, Tc, T10, TE;
+	       E TS;
+	       {
+		    E T1, TU, T4, TT, T2, T3;
+		    T1 = R0[0];
+		    TU = R0[WS(rs, 4)];
+		    T2 = R0[WS(rs, 2)];
+		    T3 = R0[WS(rs, 6)];
+		    T4 = KP707106781 * (T2 - T3);
+		    TT = KP707106781 * (T2 + T3);
+		    T5 = T1 + T4;
+		    T11 = TU - TT;
+		    TB = T1 - T4;
+		    TV = TT + TU;
+	       }
+	       {
+		    E Tq, Tt, Tp, Ts, Tn, To;
+		    Tq = R1[WS(rs, 7)];
+		    Tt = R1[WS(rs, 3)];
+		    Tn = R1[WS(rs, 1)];
+		    To = R1[WS(rs, 5)];
+		    Tp = KP707106781 * (Tn - To);
+		    Ts = KP707106781 * (Tn + To);
+		    Tr = Tp - Tq;
+		    TK = Tt - Ts;
+		    Tu = Ts + Tt;
+		    TJ = Tp + Tq;
+	       }
+	       {
+		    E Te, Tk, Th, Tj, Tf, Tg;
+		    Te = R1[0];
+		    Tk = R1[WS(rs, 4)];
+		    Tf = R1[WS(rs, 2)];
+		    Tg = R1[WS(rs, 6)];
+		    Th = KP707106781 * (Tf - Tg);
+		    Tj = KP707106781 * (Tf + Tg);
+		    Ti = Te + Th;
+		    TH = Tk - Tj;
+		    Tl = Tj + Tk;
+		    TG = Te - Th;
+	       }
+	       {
+		    E T8, TC, Tb, TD;
+		    {
+			 E T6, T7, T9, Ta;
+			 T6 = R0[WS(rs, 1)];
+			 T7 = R0[WS(rs, 5)];
+			 T8 = FNMS(KP382683432, T7, KP923879532 * T6);
+			 TC = FMA(KP382683432, T6, KP923879532 * T7);
+			 T9 = R0[WS(rs, 3)];
+			 Ta = R0[WS(rs, 7)];
+			 Tb = FNMS(KP923879532, Ta, KP382683432 * T9);
+			 TD = FMA(KP923879532, T9, KP382683432 * Ta);
+		    }
+		    Tc = T8 + Tb;
+		    T10 = Tb - T8;
+		    TE = TC - TD;
+		    TS = TC + TD;
+	       }
+	       {
+		    E Td, TW, Tw, TR, Tm, Tv;
+		    Td = T5 - Tc;
+		    TW = TS + TV;
+		    Tm = FMA(KP195090322, Ti, KP980785280 * Tl);
+		    Tv = FNMS(KP980785280, Tu, KP195090322 * Tr);
+		    Tw = Tm + Tv;
+		    TR = Tv - Tm;
+		    Cr[WS(csr, 4)] = Td - Tw;
+		    Ci[WS(csi, 7)] = TR + TW;
+		    Cr[WS(csr, 3)] = Td + Tw;
+		    Ci[0] = TR - TW;
+	       }
+	       {
+		    E Tx, TY, TA, TX, Ty, Tz;
+		    Tx = T5 + Tc;
+		    TY = TV - TS;
+		    Ty = FNMS(KP195090322, Tl, KP980785280 * Ti);
+		    Tz = FMA(KP980785280, Tr, KP195090322 * Tu);
+		    TA = Ty + Tz;
+		    TX = Tz - Ty;
+		    Cr[WS(csr, 7)] = Tx - TA;
+		    Ci[WS(csi, 3)] = TX + TY;
+		    Cr[0] = Tx + TA;
+		    Ci[WS(csi, 4)] = TX - TY;
+	       }
+	       {
+		    E TF, T12, TM, TZ, TI, TL;
+		    TF = TB + TE;
+		    T12 = T10 - T11;
+		    TI = FMA(KP831469612, TG, KP555570233 * TH);
+		    TL = FMA(KP831469612, TJ, KP555570233 * TK);
+		    TM = TI - TL;
+		    TZ = TI + TL;
+		    Cr[WS(csr, 6)] = TF - TM;
+		    Ci[WS(csi, 2)] = T12 - TZ;
+		    Cr[WS(csr, 1)] = TF + TM;
+		    Ci[WS(csi, 5)] = -(TZ + T12);
+	       }
+	       {
+		    E TN, T14, TQ, T13, TO, TP;
+		    TN = TB - TE;
+		    T14 = T10 + T11;
+		    TO = FNMS(KP555570233, TJ, KP831469612 * TK);
+		    TP = FNMS(KP555570233, TG, KP831469612 * TH);
+		    TQ = TO - TP;
+		    T13 = TP + TO;
+		    Cr[WS(csr, 5)] = TN - TQ;
+		    Ci[WS(csi, 1)] = T13 + T14;
+		    Cr[WS(csr, 2)] = TN + TQ;
+		    Ci[WS(csi, 6)] = T13 - T14;
+	       }
+	  }
+     }
+}
+
+static const kr2c_desc desc = { 16, "r2cfII_16", {54, 18, 12, 0}, &GENUS };
+
+void X(codelet_r2cfII_16) (planner *p) {
+     X(kr2c_register) (p, r2cfII_16, &desc);
+}
+
+#endif				/* HAVE_FMA */