diff src/fftw-3.3.3/dft/simd/common/n2fv_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/n2fv_16.c	Wed Mar 20 15:35:50 2013 +0000
@@ -0,0 +1,412 @@
+/*
+ * 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 07:37:23 EST 2012 */
+
+#include "codelet-dft.h"
+
+#ifdef HAVE_FMA
+
+/* Generated by: ../../../genfft/gen_notw_c.native -fma -reorder-insns -schedule-for-pipeline -simd -compact -variables 4 -pipeline-latency 8 -n 16 -name n2fv_16 -with-ostride 2 -include n2f.h -store-multiple 2 */
+
+/*
+ * This function contains 72 FP additions, 34 FP multiplications,
+ * (or, 38 additions, 0 multiplications, 34 fused multiply/add),
+ * 62 stack variables, 3 constants, and 40 memory accesses
+ */
+#include "n2f.h"
+
+static void n2fv_16(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
+{
+     DVK(KP923879532, +0.923879532511286756128183189396788286822416626);
+     DVK(KP414213562, +0.414213562373095048801688724209698078569671875);
+     DVK(KP707106781, +0.707106781186547524400844362104849039284835938);
+     {
+	  INT i;
+	  const R *xi;
+	  R *xo;
+	  xi = ri;
+	  xo = ro;
+	  for (i = v; i > 0; i = i - VL, xi = xi + (VL * ivs), xo = xo + (VL * ovs), MAKE_VOLATILE_STRIDE(32, is), MAKE_VOLATILE_STRIDE(32, os)) {
+	       V T7, Tu, TF, TB, T13, TL, TO, TX, TC, Te, TP, Th, TQ, Tk, TW;
+	       V T16;
+	       {
+		    V TH, TU, Tz, Tf, TK, TV, TA, TM, Ta, TN, Td, Tg, Ti, Tj;
+		    {
+			 V T1, T2, T4, T5, To, Tp, Tr, Ts;
+			 T1 = LD(&(xi[0]), ivs, &(xi[0]));
+			 T2 = LD(&(xi[WS(is, 8)]), ivs, &(xi[0]));
+			 T4 = LD(&(xi[WS(is, 4)]), ivs, &(xi[0]));
+			 T5 = LD(&(xi[WS(is, 12)]), ivs, &(xi[0]));
+			 To = LD(&(xi[WS(is, 14)]), ivs, &(xi[0]));
+			 Tp = LD(&(xi[WS(is, 6)]), ivs, &(xi[0]));
+			 Tr = LD(&(xi[WS(is, 2)]), ivs, &(xi[0]));
+			 Ts = LD(&(xi[WS(is, 10)]), ivs, &(xi[0]));
+			 {
+			      V T8, TJ, Tq, TI, Tt, T9, Tb, Tc, T3, T6;
+			      T8 = LD(&(xi[WS(is, 1)]), ivs, &(xi[WS(is, 1)]));
+			      TH = VSUB(T1, T2);
+			      T3 = VADD(T1, T2);
+			      TU = VSUB(T4, T5);
+			      T6 = VADD(T4, T5);
+			      TJ = VSUB(To, Tp);
+			      Tq = VADD(To, Tp);
+			      TI = VSUB(Tr, Ts);
+			      Tt = VADD(Tr, Ts);
+			      T9 = LD(&(xi[WS(is, 9)]), ivs, &(xi[WS(is, 1)]));
+			      Tb = LD(&(xi[WS(is, 5)]), ivs, &(xi[WS(is, 1)]));
+			      Tc = LD(&(xi[WS(is, 13)]), ivs, &(xi[WS(is, 1)]));
+			      T7 = VSUB(T3, T6);
+			      Tz = VADD(T3, T6);
+			      Tf = LD(&(xi[WS(is, 15)]), ivs, &(xi[WS(is, 1)]));
+			      TK = VADD(TI, TJ);
+			      TV = VSUB(TJ, TI);
+			      TA = VADD(Tt, Tq);
+			      Tu = VSUB(Tq, Tt);
+			      TM = VSUB(T8, T9);
+			      Ta = VADD(T8, T9);
+			      TN = VSUB(Tb, Tc);
+			      Td = VADD(Tb, Tc);
+			      Tg = LD(&(xi[WS(is, 7)]), ivs, &(xi[WS(is, 1)]));
+			      Ti = LD(&(xi[WS(is, 3)]), ivs, &(xi[WS(is, 1)]));
+			      Tj = LD(&(xi[WS(is, 11)]), ivs, &(xi[WS(is, 1)]));
+			 }
+		    }
+		    TF = VSUB(Tz, TA);
+		    TB = VADD(Tz, TA);
+		    T13 = VFNMS(LDK(KP707106781), TK, TH);
+		    TL = VFMA(LDK(KP707106781), TK, TH);
+		    TO = VFNMS(LDK(KP414213562), TN, TM);
+		    TX = VFMA(LDK(KP414213562), TM, TN);
+		    TC = VADD(Ta, Td);
+		    Te = VSUB(Ta, Td);
+		    TP = VSUB(Tf, Tg);
+		    Th = VADD(Tf, Tg);
+		    TQ = VSUB(Tj, Ti);
+		    Tk = VADD(Ti, Tj);
+		    TW = VFNMS(LDK(KP707106781), TV, TU);
+		    T16 = VFMA(LDK(KP707106781), TV, TU);
+	       }
+	       {
+		    V TY, TR, Tl, TD;
+		    TY = VFMA(LDK(KP414213562), TP, TQ);
+		    TR = VFNMS(LDK(KP414213562), TQ, TP);
+		    Tl = VSUB(Th, Tk);
+		    TD = VADD(Th, Tk);
+		    {
+			 V TS, T17, TZ, T14;
+			 TS = VADD(TO, TR);
+			 T17 = VSUB(TR, TO);
+			 TZ = VSUB(TX, TY);
+			 T14 = VADD(TX, TY);
+			 {
+			      V TE, TG, Tm, Tv;
+			      TE = VADD(TC, TD);
+			      TG = VSUB(TD, TC);
+			      Tm = VADD(Te, Tl);
+			      Tv = VSUB(Tl, Te);
+			      {
+				   V T18, T1a, TT, T11;
+				   T18 = VFNMS(LDK(KP923879532), T17, T16);
+				   T1a = VFMA(LDK(KP923879532), T17, T16);
+				   TT = VFNMS(LDK(KP923879532), TS, TL);
+				   T11 = VFMA(LDK(KP923879532), TS, TL);
+				   {
+					V T15, T19, T10, T12;
+					T15 = VFNMS(LDK(KP923879532), T14, T13);
+					T19 = VFMA(LDK(KP923879532), T14, T13);
+					T10 = VFNMS(LDK(KP923879532), TZ, TW);
+					T12 = VFMA(LDK(KP923879532), TZ, TW);
+					{
+					     V T1b, T1c, T1d, T1e;
+					     T1b = VFMAI(TG, TF);
+					     STM2(&(xo[8]), T1b, ovs, &(xo[0]));
+					     T1c = VFNMSI(TG, TF);
+					     STM2(&(xo[24]), T1c, ovs, &(xo[0]));
+					     T1d = VADD(TB, TE);
+					     STM2(&(xo[0]), T1d, ovs, &(xo[0]));
+					     T1e = VSUB(TB, TE);
+					     STM2(&(xo[16]), T1e, ovs, &(xo[0]));
+					     {
+						  V Tw, Ty, Tn, Tx;
+						  Tw = VFNMS(LDK(KP707106781), Tv, Tu);
+						  Ty = VFMA(LDK(KP707106781), Tv, Tu);
+						  Tn = VFNMS(LDK(KP707106781), Tm, T7);
+						  Tx = VFMA(LDK(KP707106781), Tm, T7);
+						  {
+						       V T1f, T1g, T1h, T1i;
+						       T1f = VFMAI(T1a, T19);
+						       STM2(&(xo[6]), T1f, ovs, &(xo[2]));
+						       T1g = VFNMSI(T1a, T19);
+						       STM2(&(xo[26]), T1g, ovs, &(xo[2]));
+						       STN2(&(xo[24]), T1c, T1g, ovs);
+						       T1h = VFMAI(T18, T15);
+						       STM2(&(xo[22]), T1h, ovs, &(xo[2]));
+						       T1i = VFNMSI(T18, T15);
+						       STM2(&(xo[10]), T1i, ovs, &(xo[2]));
+						       STN2(&(xo[8]), T1b, T1i, ovs);
+						       {
+							    V T1j, T1k, T1l, T1m;
+							    T1j = VFNMSI(T12, T11);
+							    STM2(&(xo[2]), T1j, ovs, &(xo[2]));
+							    STN2(&(xo[0]), T1d, T1j, ovs);
+							    T1k = VFMAI(T12, T11);
+							    STM2(&(xo[30]), T1k, ovs, &(xo[2]));
+							    T1l = VFMAI(T10, TT);
+							    STM2(&(xo[14]), T1l, ovs, &(xo[2]));
+							    T1m = VFNMSI(T10, TT);
+							    STM2(&(xo[18]), T1m, ovs, &(xo[2]));
+							    STN2(&(xo[16]), T1e, T1m, ovs);
+							    {
+								 V T1n, T1o, T1p, T1q;
+								 T1n = VFNMSI(Ty, Tx);
+								 STM2(&(xo[28]), T1n, ovs, &(xo[0]));
+								 STN2(&(xo[28]), T1n, T1k, ovs);
+								 T1o = VFMAI(Ty, Tx);
+								 STM2(&(xo[4]), T1o, ovs, &(xo[0]));
+								 STN2(&(xo[4]), T1o, T1f, ovs);
+								 T1p = VFMAI(Tw, Tn);
+								 STM2(&(xo[20]), T1p, ovs, &(xo[0]));
+								 STN2(&(xo[20]), T1p, T1h, ovs);
+								 T1q = VFNMSI(Tw, Tn);
+								 STM2(&(xo[12]), T1q, ovs, &(xo[0]));
+								 STN2(&(xo[12]), T1q, T1l, ovs);
+							    }
+						       }
+						  }
+					     }
+					}
+				   }
+			      }
+			 }
+		    }
+	       }
+	  }
+     }
+     VLEAVE();
+}
+
+static const kdft_desc desc = { 16, XSIMD_STRING("n2fv_16"), {38, 0, 34, 0}, &GENUS, 0, 2, 0, 0 };
+
+void XSIMD(codelet_n2fv_16) (planner *p) {
+     X(kdft_register) (p, n2fv_16, &desc);
+}
+
+#else				/* HAVE_FMA */
+
+/* Generated by: ../../../genfft/gen_notw_c.native -simd -compact -variables 4 -pipeline-latency 8 -n 16 -name n2fv_16 -with-ostride 2 -include n2f.h -store-multiple 2 */
+
+/*
+ * This function contains 72 FP additions, 12 FP multiplications,
+ * (or, 68 additions, 8 multiplications, 4 fused multiply/add),
+ * 38 stack variables, 3 constants, and 40 memory accesses
+ */
+#include "n2f.h"
+
+static void n2fv_16(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
+{
+     DVK(KP923879532, +0.923879532511286756128183189396788286822416626);
+     DVK(KP382683432, +0.382683432365089771728459984030398866761344562);
+     DVK(KP707106781, +0.707106781186547524400844362104849039284835938);
+     {
+	  INT i;
+	  const R *xi;
+	  R *xo;
+	  xi = ri;
+	  xo = ro;
+	  for (i = v; i > 0; i = i - VL, xi = xi + (VL * ivs), xo = xo + (VL * ovs), MAKE_VOLATILE_STRIDE(32, is), MAKE_VOLATILE_STRIDE(32, os)) {
+	       V Tp, T13, Tu, TN, Tm, T14, Tv, TY, T7, T17, Ty, TT, Te, T16, Tx;
+	       V TQ;
+	       {
+		    V Tn, To, TM, Ts, Tt, TL;
+		    Tn = LD(&(xi[WS(is, 4)]), ivs, &(xi[0]));
+		    To = LD(&(xi[WS(is, 12)]), ivs, &(xi[0]));
+		    TM = VADD(Tn, To);
+		    Ts = LD(&(xi[0]), ivs, &(xi[0]));
+		    Tt = LD(&(xi[WS(is, 8)]), ivs, &(xi[0]));
+		    TL = VADD(Ts, Tt);
+		    Tp = VSUB(Tn, To);
+		    T13 = VADD(TL, TM);
+		    Tu = VSUB(Ts, Tt);
+		    TN = VSUB(TL, TM);
+	       }
+	       {
+		    V Ti, TW, Tl, TX;
+		    {
+			 V Tg, Th, Tj, Tk;
+			 Tg = LD(&(xi[WS(is, 14)]), ivs, &(xi[0]));
+			 Th = LD(&(xi[WS(is, 6)]), ivs, &(xi[0]));
+			 Ti = VSUB(Tg, Th);
+			 TW = VADD(Tg, Th);
+			 Tj = LD(&(xi[WS(is, 2)]), ivs, &(xi[0]));
+			 Tk = LD(&(xi[WS(is, 10)]), ivs, &(xi[0]));
+			 Tl = VSUB(Tj, Tk);
+			 TX = VADD(Tj, Tk);
+		    }
+		    Tm = VMUL(LDK(KP707106781), VSUB(Ti, Tl));
+		    T14 = VADD(TX, TW);
+		    Tv = VMUL(LDK(KP707106781), VADD(Tl, Ti));
+		    TY = VSUB(TW, TX);
+	       }
+	       {
+		    V T3, TR, T6, TS;
+		    {
+			 V T1, T2, T4, T5;
+			 T1 = LD(&(xi[WS(is, 15)]), ivs, &(xi[WS(is, 1)]));
+			 T2 = LD(&(xi[WS(is, 7)]), ivs, &(xi[WS(is, 1)]));
+			 T3 = VSUB(T1, T2);
+			 TR = VADD(T1, T2);
+			 T4 = LD(&(xi[WS(is, 3)]), ivs, &(xi[WS(is, 1)]));
+			 T5 = LD(&(xi[WS(is, 11)]), ivs, &(xi[WS(is, 1)]));
+			 T6 = VSUB(T4, T5);
+			 TS = VADD(T4, T5);
+		    }
+		    T7 = VFNMS(LDK(KP923879532), T6, VMUL(LDK(KP382683432), T3));
+		    T17 = VADD(TR, TS);
+		    Ty = VFMA(LDK(KP923879532), T3, VMUL(LDK(KP382683432), T6));
+		    TT = VSUB(TR, TS);
+	       }
+	       {
+		    V Ta, TO, Td, TP;
+		    {
+			 V T8, T9, Tb, Tc;
+			 T8 = LD(&(xi[WS(is, 1)]), ivs, &(xi[WS(is, 1)]));
+			 T9 = LD(&(xi[WS(is, 9)]), ivs, &(xi[WS(is, 1)]));
+			 Ta = VSUB(T8, T9);
+			 TO = VADD(T8, T9);
+			 Tb = LD(&(xi[WS(is, 5)]), ivs, &(xi[WS(is, 1)]));
+			 Tc = LD(&(xi[WS(is, 13)]), ivs, &(xi[WS(is, 1)]));
+			 Td = VSUB(Tb, Tc);
+			 TP = VADD(Tb, Tc);
+		    }
+		    Te = VFMA(LDK(KP382683432), Ta, VMUL(LDK(KP923879532), Td));
+		    T16 = VADD(TO, TP);
+		    Tx = VFNMS(LDK(KP382683432), Td, VMUL(LDK(KP923879532), Ta));
+		    TQ = VSUB(TO, TP);
+	       }
+	       {
+		    V T1b, T1c, T1d, T1e;
+		    {
+			 V T15, T18, T19, T1a;
+			 T15 = VADD(T13, T14);
+			 T18 = VADD(T16, T17);
+			 T1b = VSUB(T15, T18);
+			 STM2(&(xo[16]), T1b, ovs, &(xo[0]));
+			 T1c = VADD(T15, T18);
+			 STM2(&(xo[0]), T1c, ovs, &(xo[0]));
+			 T19 = VSUB(T13, T14);
+			 T1a = VBYI(VSUB(T17, T16));
+			 T1d = VSUB(T19, T1a);
+			 STM2(&(xo[24]), T1d, ovs, &(xo[0]));
+			 T1e = VADD(T19, T1a);
+			 STM2(&(xo[8]), T1e, ovs, &(xo[0]));
+		    }
+		    {
+			 V T1f, T1g, T1h, T1i;
+			 {
+			      V TV, T11, T10, T12, TU, TZ;
+			      TU = VMUL(LDK(KP707106781), VADD(TQ, TT));
+			      TV = VADD(TN, TU);
+			      T11 = VSUB(TN, TU);
+			      TZ = VMUL(LDK(KP707106781), VSUB(TT, TQ));
+			      T10 = VBYI(VADD(TY, TZ));
+			      T12 = VBYI(VSUB(TZ, TY));
+			      T1f = VSUB(TV, T10);
+			      STM2(&(xo[28]), T1f, ovs, &(xo[0]));
+			      T1g = VADD(T11, T12);
+			      STM2(&(xo[12]), T1g, ovs, &(xo[0]));
+			      T1h = VADD(TV, T10);
+			      STM2(&(xo[4]), T1h, ovs, &(xo[0]));
+			      T1i = VSUB(T11, T12);
+			      STM2(&(xo[20]), T1i, ovs, &(xo[0]));
+			 }
+			 {
+			      V Tr, TB, TA, TC;
+			      {
+				   V Tf, Tq, Tw, Tz;
+				   Tf = VSUB(T7, Te);
+				   Tq = VSUB(Tm, Tp);
+				   Tr = VBYI(VSUB(Tf, Tq));
+				   TB = VBYI(VADD(Tq, Tf));
+				   Tw = VADD(Tu, Tv);
+				   Tz = VADD(Tx, Ty);
+				   TA = VSUB(Tw, Tz);
+				   TC = VADD(Tw, Tz);
+			      }
+			      {
+				   V T1j, T1k, T1l, T1m;
+				   T1j = VADD(Tr, TA);
+				   STM2(&(xo[14]), T1j, ovs, &(xo[2]));
+				   STN2(&(xo[12]), T1g, T1j, ovs);
+				   T1k = VSUB(TC, TB);
+				   STM2(&(xo[30]), T1k, ovs, &(xo[2]));
+				   STN2(&(xo[28]), T1f, T1k, ovs);
+				   T1l = VSUB(TA, Tr);
+				   STM2(&(xo[18]), T1l, ovs, &(xo[2]));
+				   STN2(&(xo[16]), T1b, T1l, ovs);
+				   T1m = VADD(TB, TC);
+				   STM2(&(xo[2]), T1m, ovs, &(xo[2]));
+				   STN2(&(xo[0]), T1c, T1m, ovs);
+			      }
+			 }
+			 {
+			      V TF, TJ, TI, TK;
+			      {
+				   V TD, TE, TG, TH;
+				   TD = VSUB(Tu, Tv);
+				   TE = VADD(Te, T7);
+				   TF = VADD(TD, TE);
+				   TJ = VSUB(TD, TE);
+				   TG = VADD(Tp, Tm);
+				   TH = VSUB(Ty, Tx);
+				   TI = VBYI(VADD(TG, TH));
+				   TK = VBYI(VSUB(TH, TG));
+			      }
+			      {
+				   V T1n, T1o, T1p, T1q;
+				   T1n = VSUB(TF, TI);
+				   STM2(&(xo[26]), T1n, ovs, &(xo[2]));
+				   STN2(&(xo[24]), T1d, T1n, ovs);
+				   T1o = VADD(TJ, TK);
+				   STM2(&(xo[10]), T1o, ovs, &(xo[2]));
+				   STN2(&(xo[8]), T1e, T1o, ovs);
+				   T1p = VADD(TF, TI);
+				   STM2(&(xo[6]), T1p, ovs, &(xo[2]));
+				   STN2(&(xo[4]), T1h, T1p, ovs);
+				   T1q = VSUB(TJ, TK);
+				   STM2(&(xo[22]), T1q, ovs, &(xo[2]));
+				   STN2(&(xo[20]), T1i, T1q, ovs);
+			      }
+			 }
+		    }
+	       }
+	  }
+     }
+     VLEAVE();
+}
+
+static const kdft_desc desc = { 16, XSIMD_STRING("n2fv_16"), {68, 8, 4, 0}, &GENUS, 0, 2, 0, 0 };
+
+void XSIMD(codelet_n2fv_16) (planner *p) {
+     X(kdft_register) (p, n2fv_16, &desc);
+}
+
+#endif				/* HAVE_FMA */