diff src/fftw-3.3.8/rdft/scalar/r2cb/hc2cbdft2_8.c @ 167:bd3cc4d1df30

Add FFTW 3.3.8 source, and a Linux build

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/fftw-3.3.8/rdft/scalar/r2cb/hc2cbdft2_8.c	Tue Nov 19 14:52:55 2019 +0000
@@ -0,0 +1,424 @@
+/*
+ * Copyright (c) 2003, 2007-14 Matteo Frigo
+ * Copyright (c) 2003, 2007-14 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 Thu May 24 08:08:00 EDT 2018 */
+
+#include "rdft/codelet-rdft.h"
+
+#if defined(ARCH_PREFERS_FMA) || defined(ISA_EXTENSION_PREFERS_FMA)
+
+/* Generated by: ../../../genfft/gen_hc2cdft.native -fma -compact -variables 4 -pipeline-latency 4 -sign 1 -n 8 -dif -name hc2cbdft2_8 -include rdft/scalar/hc2cb.h */
+
+/*
+ * This function contains 82 FP additions, 36 FP multiplications,
+ * (or, 60 additions, 14 multiplications, 22 fused multiply/add),
+ * 41 stack variables, 1 constants, and 32 memory accesses
+ */
+#include "rdft/scalar/hc2cb.h"
+
+static void hc2cbdft2_8(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
+{
+     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
+     {
+	  INT m;
+	  for (m = mb, W = W + ((mb - 1) * 14); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 14, MAKE_VOLATILE_STRIDE(32, rs)) {
+	       E Tl, T1p, T1g, TM, T1k, TE, TP, T1f, T7, Te, TU, TH, T1l, Tw, T1q;
+	       E T1c, T1y;
+	       {
+		    E T3, TA, Tk, TN, T6, Th, TD, TO, Ta, Tm, Tp, TK, Td, Tr, Tu;
+		    E TL, TF, TG;
+		    {
+			 E T1, T2, Ti, Tj;
+			 T1 = Rp[0];
+			 T2 = Rm[WS(rs, 3)];
+			 T3 = T1 + T2;
+			 TA = T1 - T2;
+			 Ti = Ip[0];
+			 Tj = Im[WS(rs, 3)];
+			 Tk = Ti + Tj;
+			 TN = Ti - Tj;
+		    }
+		    {
+			 E T4, T5, TB, TC;
+			 T4 = Rp[WS(rs, 2)];
+			 T5 = Rm[WS(rs, 1)];
+			 T6 = T4 + T5;
+			 Th = T4 - T5;
+			 TB = Ip[WS(rs, 2)];
+			 TC = Im[WS(rs, 1)];
+			 TD = TB + TC;
+			 TO = TB - TC;
+		    }
+		    {
+			 E T8, T9, Tn, To;
+			 T8 = Rp[WS(rs, 1)];
+			 T9 = Rm[WS(rs, 2)];
+			 Ta = T8 + T9;
+			 Tm = T8 - T9;
+			 Tn = Ip[WS(rs, 1)];
+			 To = Im[WS(rs, 2)];
+			 Tp = Tn + To;
+			 TK = Tn - To;
+		    }
+		    {
+			 E Tb, Tc, Ts, Tt;
+			 Tb = Rm[0];
+			 Tc = Rp[WS(rs, 3)];
+			 Td = Tb + Tc;
+			 Tr = Tb - Tc;
+			 Ts = Im[0];
+			 Tt = Ip[WS(rs, 3)];
+			 Tu = Ts + Tt;
+			 TL = Tt - Ts;
+		    }
+		    Tl = Th + Tk;
+		    T1p = TA + TD;
+		    T1g = TN - TO;
+		    TM = TK + TL;
+		    T1k = Tk - Th;
+		    TE = TA - TD;
+		    TP = TN + TO;
+		    T1f = Ta - Td;
+		    T7 = T3 + T6;
+		    Te = Ta + Td;
+		    TU = T7 - Te;
+		    TF = Tm - Tp;
+		    TG = Tr - Tu;
+		    TH = TF + TG;
+		    T1l = TF - TG;
+		    {
+			 E Tq, Tv, T1a, T1b;
+			 Tq = Tm + Tp;
+			 Tv = Tr + Tu;
+			 Tw = Tq - Tv;
+			 T1q = Tq + Tv;
+			 T1a = T3 - T6;
+			 T1b = TL - TK;
+			 T1c = T1a + T1b;
+			 T1y = T1a - T1b;
+		    }
+	       }
+	       {
+		    E Tf, TQ, Tx, TI, Ty, TR, Tg, TJ, TS, Tz;
+		    Tf = T7 + Te;
+		    TQ = TM + TP;
+		    Tx = FMA(KP707106781, Tw, Tl);
+		    TI = FMA(KP707106781, TH, TE);
+		    Tg = W[0];
+		    Ty = Tg * Tx;
+		    TR = Tg * TI;
+		    Tz = W[1];
+		    TJ = FMA(Tz, TI, Ty);
+		    TS = FNMS(Tz, Tx, TR);
+		    Rp[0] = Tf - TJ;
+		    Ip[0] = TQ + TS;
+		    Rm[0] = Tf + TJ;
+		    Im[0] = TS - TQ;
+	       }
+	       {
+		    E T1B, T1A, T1J, T1x, T1z, T1E, T1H, T1F, T1L, T1D;
+		    T1B = T1g - T1f;
+		    T1A = W[11];
+		    T1J = T1A * T1y;
+		    T1x = W[10];
+		    T1z = T1x * T1y;
+		    T1E = FNMS(KP707106781, T1l, T1k);
+		    T1H = FMA(KP707106781, T1q, T1p);
+		    T1D = W[12];
+		    T1F = T1D * T1E;
+		    T1L = T1D * T1H;
+		    {
+			 E T1C, T1K, T1I, T1M, T1G;
+			 T1C = FNMS(T1A, T1B, T1z);
+			 T1K = FMA(T1x, T1B, T1J);
+			 T1G = W[13];
+			 T1I = FMA(T1G, T1H, T1F);
+			 T1M = FNMS(T1G, T1E, T1L);
+			 Rp[WS(rs, 3)] = T1C - T1I;
+			 Ip[WS(rs, 3)] = T1K + T1M;
+			 Rm[WS(rs, 3)] = T1C + T1I;
+			 Im[WS(rs, 3)] = T1M - T1K;
+		    }
+	       }
+	       {
+		    E TX, TW, T15, TT, TV, T10, T13, T11, T17, TZ;
+		    TX = TP - TM;
+		    TW = W[7];
+		    T15 = TW * TU;
+		    TT = W[6];
+		    TV = TT * TU;
+		    T10 = FNMS(KP707106781, Tw, Tl);
+		    T13 = FNMS(KP707106781, TH, TE);
+		    TZ = W[8];
+		    T11 = TZ * T10;
+		    T17 = TZ * T13;
+		    {
+			 E TY, T16, T14, T18, T12;
+			 TY = FNMS(TW, TX, TV);
+			 T16 = FMA(TT, TX, T15);
+			 T12 = W[9];
+			 T14 = FMA(T12, T13, T11);
+			 T18 = FNMS(T12, T10, T17);
+			 Rp[WS(rs, 2)] = TY - T14;
+			 Ip[WS(rs, 2)] = T16 + T18;
+			 Rm[WS(rs, 2)] = TY + T14;
+			 Im[WS(rs, 2)] = T18 - T16;
+		    }
+	       }
+	       {
+		    E T1h, T1e, T1t, T19, T1d, T1m, T1r, T1n, T1v, T1j;
+		    T1h = T1f + T1g;
+		    T1e = W[3];
+		    T1t = T1e * T1c;
+		    T19 = W[2];
+		    T1d = T19 * T1c;
+		    T1m = FMA(KP707106781, T1l, T1k);
+		    T1r = FNMS(KP707106781, T1q, T1p);
+		    T1j = W[4];
+		    T1n = T1j * T1m;
+		    T1v = T1j * T1r;
+		    {
+			 E T1i, T1u, T1s, T1w, T1o;
+			 T1i = FNMS(T1e, T1h, T1d);
+			 T1u = FMA(T19, T1h, T1t);
+			 T1o = W[5];
+			 T1s = FMA(T1o, T1r, T1n);
+			 T1w = FNMS(T1o, T1m, T1v);
+			 Rp[WS(rs, 1)] = T1i - T1s;
+			 Ip[WS(rs, 1)] = T1u + T1w;
+			 Rm[WS(rs, 1)] = T1i + T1s;
+			 Im[WS(rs, 1)] = T1w - T1u;
+		    }
+	       }
+	  }
+     }
+}
+
+static const tw_instr twinstr[] = {
+     {TW_FULL, 1, 8},
+     {TW_NEXT, 1, 0}
+};
+
+static const hc2c_desc desc = { 8, "hc2cbdft2_8", twinstr, &GENUS, {60, 14, 22, 0} };
+
+void X(codelet_hc2cbdft2_8) (planner *p) {
+     X(khc2c_register) (p, hc2cbdft2_8, &desc, HC2C_VIA_DFT);
+}
+#else
+
+/* Generated by: ../../../genfft/gen_hc2cdft.native -compact -variables 4 -pipeline-latency 4 -sign 1 -n 8 -dif -name hc2cbdft2_8 -include rdft/scalar/hc2cb.h */
+
+/*
+ * This function contains 82 FP additions, 32 FP multiplications,
+ * (or, 68 additions, 18 multiplications, 14 fused multiply/add),
+ * 30 stack variables, 1 constants, and 32 memory accesses
+ */
+#include "rdft/scalar/hc2cb.h"
+
+static void hc2cbdft2_8(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
+{
+     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
+     {
+	  INT m;
+	  for (m = mb, W = W + ((mb - 1) * 14); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 14, MAKE_VOLATILE_STRIDE(32, rs)) {
+	       E T7, T1d, T1h, Tl, TG, T14, T19, TO, Te, TL, T18, T15, TB, T1e, Tw;
+	       E T1i;
+	       {
+		    E T3, TC, Tk, TM, T6, Th, TF, TN;
+		    {
+			 E T1, T2, Ti, Tj;
+			 T1 = Rp[0];
+			 T2 = Rm[WS(rs, 3)];
+			 T3 = T1 + T2;
+			 TC = T1 - T2;
+			 Ti = Ip[0];
+			 Tj = Im[WS(rs, 3)];
+			 Tk = Ti + Tj;
+			 TM = Ti - Tj;
+		    }
+		    {
+			 E T4, T5, TD, TE;
+			 T4 = Rp[WS(rs, 2)];
+			 T5 = Rm[WS(rs, 1)];
+			 T6 = T4 + T5;
+			 Th = T4 - T5;
+			 TD = Ip[WS(rs, 2)];
+			 TE = Im[WS(rs, 1)];
+			 TF = TD + TE;
+			 TN = TD - TE;
+		    }
+		    T7 = T3 + T6;
+		    T1d = Tk - Th;
+		    T1h = TC + TF;
+		    Tl = Th + Tk;
+		    TG = TC - TF;
+		    T14 = T3 - T6;
+		    T19 = TM - TN;
+		    TO = TM + TN;
+	       }
+	       {
+		    E Ta, Tm, Tp, TJ, Td, Tr, Tu, TK;
+		    {
+			 E T8, T9, Tn, To;
+			 T8 = Rp[WS(rs, 1)];
+			 T9 = Rm[WS(rs, 2)];
+			 Ta = T8 + T9;
+			 Tm = T8 - T9;
+			 Tn = Ip[WS(rs, 1)];
+			 To = Im[WS(rs, 2)];
+			 Tp = Tn + To;
+			 TJ = Tn - To;
+		    }
+		    {
+			 E Tb, Tc, Ts, Tt;
+			 Tb = Rm[0];
+			 Tc = Rp[WS(rs, 3)];
+			 Td = Tb + Tc;
+			 Tr = Tb - Tc;
+			 Ts = Im[0];
+			 Tt = Ip[WS(rs, 3)];
+			 Tu = Ts + Tt;
+			 TK = Tt - Ts;
+		    }
+		    Te = Ta + Td;
+		    TL = TJ + TK;
+		    T18 = Ta - Td;
+		    T15 = TK - TJ;
+		    {
+			 E Tz, TA, Tq, Tv;
+			 Tz = Tm - Tp;
+			 TA = Tr - Tu;
+			 TB = KP707106781 * (Tz + TA);
+			 T1e = KP707106781 * (Tz - TA);
+			 Tq = Tm + Tp;
+			 Tv = Tr + Tu;
+			 Tw = KP707106781 * (Tq - Tv);
+			 T1i = KP707106781 * (Tq + Tv);
+		    }
+	       }
+	       {
+		    E Tf, TP, TI, TQ;
+		    Tf = T7 + Te;
+		    TP = TL + TO;
+		    {
+			 E Tx, TH, Tg, Ty;
+			 Tx = Tl + Tw;
+			 TH = TB + TG;
+			 Tg = W[0];
+			 Ty = W[1];
+			 TI = FMA(Tg, Tx, Ty * TH);
+			 TQ = FNMS(Ty, Tx, Tg * TH);
+		    }
+		    Rp[0] = Tf - TI;
+		    Ip[0] = TP + TQ;
+		    Rm[0] = Tf + TI;
+		    Im[0] = TQ - TP;
+	       }
+	       {
+		    E T1r, T1x, T1w, T1y;
+		    {
+			 E T1o, T1q, T1n, T1p;
+			 T1o = T14 - T15;
+			 T1q = T19 - T18;
+			 T1n = W[10];
+			 T1p = W[11];
+			 T1r = FNMS(T1p, T1q, T1n * T1o);
+			 T1x = FMA(T1p, T1o, T1n * T1q);
+		    }
+		    {
+			 E T1t, T1v, T1s, T1u;
+			 T1t = T1d - T1e;
+			 T1v = T1i + T1h;
+			 T1s = W[12];
+			 T1u = W[13];
+			 T1w = FMA(T1s, T1t, T1u * T1v);
+			 T1y = FNMS(T1u, T1t, T1s * T1v);
+		    }
+		    Rp[WS(rs, 3)] = T1r - T1w;
+		    Ip[WS(rs, 3)] = T1x + T1y;
+		    Rm[WS(rs, 3)] = T1r + T1w;
+		    Im[WS(rs, 3)] = T1y - T1x;
+	       }
+	       {
+		    E TV, T11, T10, T12;
+		    {
+			 E TS, TU, TR, TT;
+			 TS = T7 - Te;
+			 TU = TO - TL;
+			 TR = W[6];
+			 TT = W[7];
+			 TV = FNMS(TT, TU, TR * TS);
+			 T11 = FMA(TT, TS, TR * TU);
+		    }
+		    {
+			 E TX, TZ, TW, TY;
+			 TX = Tl - Tw;
+			 TZ = TG - TB;
+			 TW = W[8];
+			 TY = W[9];
+			 T10 = FMA(TW, TX, TY * TZ);
+			 T12 = FNMS(TY, TX, TW * TZ);
+		    }
+		    Rp[WS(rs, 2)] = TV - T10;
+		    Ip[WS(rs, 2)] = T11 + T12;
+		    Rm[WS(rs, 2)] = TV + T10;
+		    Im[WS(rs, 2)] = T12 - T11;
+	       }
+	       {
+		    E T1b, T1l, T1k, T1m;
+		    {
+			 E T16, T1a, T13, T17;
+			 T16 = T14 + T15;
+			 T1a = T18 + T19;
+			 T13 = W[2];
+			 T17 = W[3];
+			 T1b = FNMS(T17, T1a, T13 * T16);
+			 T1l = FMA(T17, T16, T13 * T1a);
+		    }
+		    {
+			 E T1f, T1j, T1c, T1g;
+			 T1f = T1d + T1e;
+			 T1j = T1h - T1i;
+			 T1c = W[4];
+			 T1g = W[5];
+			 T1k = FMA(T1c, T1f, T1g * T1j);
+			 T1m = FNMS(T1g, T1f, T1c * T1j);
+		    }
+		    Rp[WS(rs, 1)] = T1b - T1k;
+		    Ip[WS(rs, 1)] = T1l + T1m;
+		    Rm[WS(rs, 1)] = T1b + T1k;
+		    Im[WS(rs, 1)] = T1m - T1l;
+	       }
+	  }
+     }
+}
+
+static const tw_instr twinstr[] = {
+     {TW_FULL, 1, 8},
+     {TW_NEXT, 1, 0}
+};
+
+static const hc2c_desc desc = { 8, "hc2cbdft2_8", twinstr, &GENUS, {68, 18, 14, 0} };
+
+void X(codelet_hc2cbdft2_8) (planner *p) {
+     X(khc2c_register) (p, hc2cbdft2_8, &desc, HC2C_VIA_DFT);
+}
+#endif