diff src/fftw-3.3.3/rdft/scalar/r2cf/r2cf_15.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_15.c	Wed Mar 20 15:35:50 2013 +0000
@@ -0,0 +1,303 @@
+/*
+ * 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 07:39:46 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 15 -name r2cf_15 -include r2cf.h */
+
+/*
+ * This function contains 64 FP additions, 35 FP multiplications,
+ * (or, 36 additions, 7 multiplications, 28 fused multiply/add),
+ * 50 stack variables, 8 constants, and 30 memory accesses
+ */
+#include "r2cf.h"
+
+static void r2cf_15(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
+{
+     DK(KP910592997, +0.910592997310029334643087372129977886038870291);
+     DK(KP823639103, +0.823639103546331925877420039278190003029660514);
+     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
+     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
+     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
+     DK(KP618033988, +0.618033988749894848204586834365638117720309180);
+     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
+     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
+     {
+	  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(60, rs), MAKE_VOLATILE_STRIDE(60, csr), MAKE_VOLATILE_STRIDE(60, csi)) {
+	       E Tw, Tz, Tp, Ty;
+	       {
+		    E Ti, TF, TR, TN, TX, T11, TM, TS, Tl, TH, Tf, To, TT, TD, Tg;
+		    E Th;
+		    TD = R0[0];
+		    Tg = R0[WS(rs, 5)];
+		    Th = R1[WS(rs, 2)];
+		    {
+			 E Tj, Tq, Tt, Tm, T3, Tk, T4, Ta, Tr, Td, Tu, T5, TE;
+			 Tj = R1[WS(rs, 1)];
+			 Tq = R0[WS(rs, 3)];
+			 Tt = R1[WS(rs, 4)];
+			 TE = Th + Tg;
+			 Ti = Tg - Th;
+			 Tm = R0[WS(rs, 6)];
+			 {
+			      E T8, T9, T1, T2, Tb, Tc;
+			      T1 = R0[WS(rs, 4)];
+			      T2 = R1[WS(rs, 6)];
+			      TF = FNMS(KP500000000, TE, TD);
+			      TR = TD + TE;
+			      T8 = R1[WS(rs, 5)];
+			      T3 = T1 - T2;
+			      Tk = T1 + T2;
+			      T9 = R1[0];
+			      Tb = R0[WS(rs, 7)];
+			      Tc = R0[WS(rs, 2)];
+			      T4 = R0[WS(rs, 1)];
+			      Ta = T8 - T9;
+			      Tr = T8 + T9;
+			      Td = Tb - Tc;
+			      Tu = Tb + Tc;
+			      T5 = R1[WS(rs, 3)];
+			 }
+			 {
+			      E Ts, Tv, Te, Tn, T7, T6, TV, TW;
+			      TV = Tq + Tr;
+			      Ts = FNMS(KP500000000, Tr, Tq);
+			      Tv = FNMS(KP500000000, Tu, Tt);
+			      TW = Tt + Tu;
+			      Te = Ta + Td;
+			      TN = Td - Ta;
+			      Tn = T4 + T5;
+			      T6 = T4 - T5;
+			      TX = TV + TW;
+			      T11 = TW - TV;
+			      TM = T6 - T3;
+			      T7 = T3 + T6;
+			      TS = Tj + Tk;
+			      Tl = FNMS(KP500000000, Tk, Tj);
+			      TH = Ts + Tv;
+			      Tw = Ts - Tv;
+			      Tz = Te - T7;
+			      Tf = T7 + Te;
+			      To = FNMS(KP500000000, Tn, Tm);
+			      TT = Tm + Tn;
+			 }
+		    }
+		    {
+			 E TO, TQ, TU, T12, TK, TI, TG;
+			 Ci[WS(csi, 5)] = KP866025403 * (Tf - Ti);
+			 TG = Tl + To;
+			 Tp = Tl - To;
+			 TO = FMA(KP618033988, TN, TM);
+			 TQ = FNMS(KP618033988, TM, TN);
+			 TU = TS + TT;
+			 T12 = TS - TT;
+			 TK = TG - TH;
+			 TI = TG + TH;
+			 {
+			      E T10, TY, TL, TP, TJ, TZ;
+			      T10 = TU - TX;
+			      TY = TU + TX;
+			      Cr[WS(csr, 5)] = TF + TI;
+			      TJ = FNMS(KP250000000, TI, TF);
+			      Ci[WS(csi, 6)] = -(KP951056516 * (FNMS(KP618033988, T11, T12)));
+			      Ci[WS(csi, 3)] = KP951056516 * (FMA(KP618033988, T12, T11));
+			      TL = FMA(KP559016994, TK, TJ);
+			      TP = FNMS(KP559016994, TK, TJ);
+			      Cr[0] = TR + TY;
+			      TZ = FNMS(KP250000000, TY, TR);
+			      Cr[WS(csr, 4)] = FNMS(KP823639103, TO, TL);
+			      Cr[WS(csr, 1)] = FMA(KP823639103, TO, TL);
+			      Cr[WS(csr, 7)] = FNMS(KP823639103, TQ, TP);
+			      Cr[WS(csr, 2)] = FMA(KP823639103, TQ, TP);
+			      Cr[WS(csr, 6)] = FMA(KP559016994, T10, TZ);
+			      Cr[WS(csr, 3)] = FNMS(KP559016994, T10, TZ);
+			      Ty = FMA(KP250000000, Tf, Ti);
+			 }
+		    }
+	       }
+	       {
+		    E TB, Tx, TC, TA;
+		    TB = FNMS(KP618033988, Tp, Tw);
+		    Tx = FMA(KP618033988, Tw, Tp);
+		    TC = FNMS(KP559016994, Tz, Ty);
+		    TA = FMA(KP559016994, Tz, Ty);
+		    Ci[WS(csi, 2)] = KP951056516 * (FNMS(KP910592997, TC, TB));
+		    Ci[WS(csi, 7)] = KP951056516 * (FMA(KP910592997, TC, TB));
+		    Ci[WS(csi, 4)] = KP951056516 * (FMA(KP910592997, TA, Tx));
+		    Ci[WS(csi, 1)] = -(KP951056516 * (FNMS(KP910592997, TA, Tx)));
+	       }
+	  }
+     }
+}
+
+static const kr2c_desc desc = { 15, "r2cf_15", {36, 7, 28, 0}, &GENUS };
+
+void X(codelet_r2cf_15) (planner *p) {
+     X(kr2c_register) (p, r2cf_15, &desc);
+}
+
+#else				/* HAVE_FMA */
+
+/* Generated by: ../../../genfft/gen_r2cf.native -compact -variables 4 -pipeline-latency 4 -n 15 -name r2cf_15 -include r2cf.h */
+
+/*
+ * This function contains 64 FP additions, 25 FP multiplications,
+ * (or, 50 additions, 11 multiplications, 14 fused multiply/add),
+ * 47 stack variables, 10 constants, and 30 memory accesses
+ */
+#include "r2cf.h"
+
+static void r2cf_15(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
+{
+     DK(KP484122918, +0.484122918275927110647408174972799951354115213);
+     DK(KP216506350, +0.216506350946109661690930792688234045867850657);
+     DK(KP951056516, +0.951056516295153572116439333379382143405698634);
+     DK(KP587785252, +0.587785252292473129168705954639072768597652438);
+     DK(KP250000000, +0.250000000000000000000000000000000000000000000);
+     DK(KP559016994, +0.559016994374947424102293417182819058860154590);
+     DK(KP509036960, +0.509036960455127183450980863393907648510733164);
+     DK(KP823639103, +0.823639103546331925877420039278190003029660514);
+     DK(KP866025403, +0.866025403784438646763723170752936183471402627);
+     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
+     {
+	  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(60, rs), MAKE_VOLATILE_STRIDE(60, csr), MAKE_VOLATILE_STRIDE(60, csi)) {
+	       E Ti, TR, TL, TD, TE, T7, Te, Tf, TV, TW, TX, Tv, Ty, TH, To;
+	       E Tr, TG, TS, TT, TU;
+	       {
+		    E TJ, Tg, Th, TK;
+		    TJ = R0[0];
+		    Tg = R0[WS(rs, 5)];
+		    Th = R1[WS(rs, 2)];
+		    TK = Th + Tg;
+		    Ti = Tg - Th;
+		    TR = TJ + TK;
+		    TL = FNMS(KP500000000, TK, TJ);
+	       }
+	       {
+		    E Tm, Tt, Tw, Tp, T3, Tx, Ta, Tn, Td, Tq, T6, Tu;
+		    Tm = R1[WS(rs, 1)];
+		    Tt = R0[WS(rs, 3)];
+		    Tw = R1[WS(rs, 4)];
+		    Tp = R0[WS(rs, 6)];
+		    {
+			 E T1, T2, T8, T9;
+			 T1 = R0[WS(rs, 7)];
+			 T2 = R0[WS(rs, 2)];
+			 T3 = T1 - T2;
+			 Tx = T1 + T2;
+			 T8 = R1[WS(rs, 6)];
+			 T9 = R0[WS(rs, 4)];
+			 Ta = T8 - T9;
+			 Tn = T9 + T8;
+		    }
+		    {
+			 E Tb, Tc, T4, T5;
+			 Tb = R1[WS(rs, 3)];
+			 Tc = R0[WS(rs, 1)];
+			 Td = Tb - Tc;
+			 Tq = Tc + Tb;
+			 T4 = R1[0];
+			 T5 = R1[WS(rs, 5)];
+			 T6 = T4 - T5;
+			 Tu = T5 + T4;
+		    }
+		    TD = Ta - Td;
+		    TE = T6 + T3;
+		    T7 = T3 - T6;
+		    Te = Ta + Td;
+		    Tf = T7 - Te;
+		    TV = Tt + Tu;
+		    TW = Tw + Tx;
+		    TX = TV + TW;
+		    Tv = FNMS(KP500000000, Tu, Tt);
+		    Ty = FNMS(KP500000000, Tx, Tw);
+		    TH = Tv + Ty;
+		    To = FNMS(KP500000000, Tn, Tm);
+		    Tr = FNMS(KP500000000, Tq, Tp);
+		    TG = To + Tr;
+		    TS = Tm + Tn;
+		    TT = Tp + Tq;
+		    TU = TS + TT;
+	       }
+	       Ci[WS(csi, 5)] = KP866025403 * (Tf - Ti);
+	       {
+		    E TF, TP, TI, TM, TN, TQ, TO;
+		    TF = FMA(KP823639103, TD, KP509036960 * TE);
+		    TP = FNMS(KP509036960, TD, KP823639103 * TE);
+		    TI = KP559016994 * (TG - TH);
+		    TM = TG + TH;
+		    TN = FNMS(KP250000000, TM, TL);
+		    Cr[WS(csr, 5)] = TL + TM;
+		    TQ = TN - TI;
+		    Cr[WS(csr, 2)] = TP + TQ;
+		    Cr[WS(csr, 7)] = TQ - TP;
+		    TO = TI + TN;
+		    Cr[WS(csr, 1)] = TF + TO;
+		    Cr[WS(csr, 4)] = TO - TF;
+	       }
+	       {
+		    E T11, T12, T10, TY, TZ;
+		    T11 = TS - TT;
+		    T12 = TW - TV;
+		    Ci[WS(csi, 3)] = FMA(KP587785252, T11, KP951056516 * T12);
+		    Ci[WS(csi, 6)] = FNMS(KP951056516, T11, KP587785252 * T12);
+		    T10 = KP559016994 * (TU - TX);
+		    TY = TU + TX;
+		    TZ = FNMS(KP250000000, TY, TR);
+		    Cr[WS(csr, 3)] = TZ - T10;
+		    Cr[0] = TR + TY;
+		    Cr[WS(csr, 6)] = T10 + TZ;
+		    {
+			 E Tl, TB, TA, TC;
+			 {
+			      E Tj, Tk, Ts, Tz;
+			      Tj = FMA(KP866025403, Ti, KP216506350 * Tf);
+			      Tk = KP484122918 * (Te + T7);
+			      Tl = Tj + Tk;
+			      TB = Tk - Tj;
+			      Ts = To - Tr;
+			      Tz = Tv - Ty;
+			      TA = FMA(KP951056516, Ts, KP587785252 * Tz);
+			      TC = FNMS(KP587785252, Ts, KP951056516 * Tz);
+			 }
+			 Ci[WS(csi, 1)] = Tl - TA;
+			 Ci[WS(csi, 7)] = TC - TB;
+			 Ci[WS(csi, 4)] = Tl + TA;
+			 Ci[WS(csi, 2)] = TB + TC;
+		    }
+	       }
+	  }
+     }
+}
+
+static const kr2c_desc desc = { 15, "r2cf_15", {50, 11, 14, 0}, &GENUS };
+
+void X(codelet_r2cf_15) (planner *p) {
+     X(kr2c_register) (p, r2cf_15, &desc);
+}
+
+#endif				/* HAVE_FMA */