diff src/fftw-3.3.3/rdft/scalar/r2cf/hc2cfdft_16.c @ 95:89f5e221ed7b

Add FFTW3
author Chris Cannam <cannam@all-day-breakfast.com>
date Wed, 20 Mar 2013 15:35:50 +0000
parents
children
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/fftw-3.3.3/rdft/scalar/r2cf/hc2cfdft_16.c	Wed Mar 20 15:35:50 2013 +0000
@@ -0,0 +1,896 @@
+/*
+ * 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 07:40:46 EST 2012 */
+
+#include "codelet-rdft.h"
+
+#ifdef HAVE_FMA
+
+/* Generated by: ../../../genfft/gen_hc2cdft.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 16 -dit -name hc2cfdft_16 -include hc2cf.h */
+
+/*
+ * This function contains 206 FP additions, 132 FP multiplications,
+ * (or, 136 additions, 62 multiplications, 70 fused multiply/add),
+ * 96 stack variables, 4 constants, and 64 memory accesses
+ */
+#include "hc2cf.h"
+
+static void hc2cfdft_16(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
+{
+     DK(KP923879532, +0.923879532511286756128183189396788286822416626);
+     DK(KP414213562, +0.414213562373095048801688724209698078569671875);
+     DK(KP707106781, +0.707106781186547524400844362104849039284835938);
+     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
+     {
+	  INT m;
+	  for (m = mb, W = W + ((mb - 1) * 30); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 30, MAKE_VOLATILE_STRIDE(64, rs)) {
+	       E T4d, T4g;
+	       {
+		    E T1f, T2e, T3D, T1K, T2g, T1c, T3H, T2W, T2j, TR, T3E, T2R, T2l, T11, T3G;
+		    E T1v, T3p, T2s, Tl, T3o, T3w, T2G, T3z, T1Y, T23, T20, T2H, T21, T29, Tz;
+		    E T26, TE, TA, T2v, T2J, T27, Tv, T2u, TB, T22, T28;
+		    {
+			 E T1o, T1u, T2T, T2V;
+			 {
+			      E T1I, T1A, T16, T1C, T1H, T1G, T2U, T1z, T1b, T1x, T1w;
+			      {
+				   E T1d, T1e, T14, T15;
+				   T1d = Ip[0];
+				   T1e = Im[0];
+				   T14 = Ip[WS(rs, 4)];
+				   T15 = Im[WS(rs, 4)];
+				   {
+					E T1F, T1D, T1E, T19, T1a;
+					T1D = Rm[0];
+					T1I = T1d + T1e;
+					T1f = T1d - T1e;
+					T1E = Rp[0];
+					T1A = T14 + T15;
+					T16 = T14 - T15;
+					T1C = W[0];
+					T2e = T1E + T1D;
+					T1F = T1D - T1E;
+					T1H = W[1];
+					T19 = Rp[WS(rs, 4)];
+					T1a = Rm[WS(rs, 4)];
+					T1G = T1C * T1F;
+					T2U = T1H * T1F;
+					T1z = W[17];
+					T1b = T19 + T1a;
+					T1x = T1a - T19;
+					T1w = W[16];
+				   }
+			      }
+			      {
+				   E T2S, T1y, T13, T18;
+				   T2S = T1z * T1x;
+				   T1y = T1w * T1x;
+				   T13 = W[14];
+				   T18 = W[15];
+				   {
+					E T1J, T1B, T2f, T17;
+					T1J = FNMS(T1H, T1I, T1G);
+					T1B = FNMS(T1z, T1A, T1y);
+					T2f = T13 * T1b;
+					T17 = T13 * T16;
+					T2T = FMA(T1w, T1A, T2S);
+					T3D = T1J - T1B;
+					T1K = T1B + T1J;
+					T2g = FMA(T18, T16, T2f);
+					T1c = FNMS(T18, T1b, T17);
+					T2V = FMA(T1C, T1I, T2U);
+				   }
+			      }
+			 }
+			 {
+			      E T1n, TL, T1m, T1j, TQ, T1l, T2N, TV, T1t, T10, T1q, T1s, T1p, T1r, T2O;
+			      E T2Q;
+			      {
+				   E TO, TP, TJ, TK;
+				   TJ = Ip[WS(rs, 2)];
+				   TK = Im[WS(rs, 2)];
+				   TO = Rp[WS(rs, 2)];
+				   T3H = T2V - T2T;
+				   T2W = T2T + T2V;
+				   T1n = TJ + TK;
+				   TL = TJ - TK;
+				   TP = Rm[WS(rs, 2)];
+				   T1m = W[9];
+				   T1j = W[8];
+				   {
+					E TT, T1k, TU, TY, TZ;
+					TT = Ip[WS(rs, 6)];
+					TQ = TO + TP;
+					T1k = TP - TO;
+					TU = Im[WS(rs, 6)];
+					TY = Rp[WS(rs, 6)];
+					TZ = Rm[WS(rs, 6)];
+					T1l = T1j * T1k;
+					T2N = T1m * T1k;
+					TV = TT - TU;
+					T1t = TT + TU;
+					T10 = TY + TZ;
+					T1q = TZ - TY;
+					T1s = W[25];
+					T1p = W[24];
+				   }
+			      }
+			      {
+				   E TN, T2P, T2i, TM, TI;
+				   TI = W[6];
+				   TN = W[7];
+				   T2P = T1s * T1q;
+				   T1r = T1p * T1q;
+				   T2i = TI * TQ;
+				   TM = TI * TL;
+				   T2O = FMA(T1j, T1n, T2N);
+				   T2Q = FMA(T1p, T1t, T2P);
+				   T2j = FMA(TN, TL, T2i);
+				   TR = FNMS(TN, TQ, TM);
+			      }
+			      {
+				   E TX, T2k, TW, TS;
+				   TS = W[22];
+				   T3E = T2O - T2Q;
+				   T2R = T2O + T2Q;
+				   TX = W[23];
+				   T2k = TS * T10;
+				   TW = TS * TV;
+				   T1o = FNMS(T1m, T1n, T1l);
+				   T1u = FNMS(T1s, T1t, T1r);
+				   T2l = FMA(TX, TV, T2k);
+				   T11 = FNMS(TX, T10, TW);
+			      }
+			 }
+			 {
+			      E T1Q, T1N, T2C, T1O, T1W, Te, T1T, Tj, Tf, T2q, T2E, T1U, Ta, T2p, Tg;
+			      E T1P, T1V;
+			      {
+				   E T4, T9, T5, T2o, Tb, T1S, T1, T1M, T6;
+				   {
+					E T2, T3, T7, T8;
+					T2 = Ip[WS(rs, 1)];
+					T3G = T1o - T1u;
+					T1v = T1o + T1u;
+					T3 = Im[WS(rs, 1)];
+					T7 = Rp[WS(rs, 1)];
+					T8 = Rm[WS(rs, 1)];
+					T1 = W[2];
+					T1Q = T2 + T3;
+					T4 = T2 - T3;
+					T1N = T7 - T8;
+					T9 = T7 + T8;
+					T1M = W[4];
+					T5 = T1 * T4;
+				   }
+				   {
+					E Tc, Td, Th, Ti;
+					Tc = Ip[WS(rs, 5)];
+					T2o = T1 * T9;
+					T2C = T1M * T1Q;
+					T1O = T1M * T1N;
+					Td = Im[WS(rs, 5)];
+					Th = Rp[WS(rs, 5)];
+					Ti = Rm[WS(rs, 5)];
+					Tb = W[18];
+					T1W = Tc + Td;
+					Te = Tc - Td;
+					T1T = Th - Ti;
+					Tj = Th + Ti;
+					T1S = W[20];
+					Tf = Tb * Te;
+				   }
+				   T6 = W[3];
+				   T2q = Tb * Tj;
+				   T2E = T1S * T1W;
+				   T1U = T1S * T1T;
+				   Ta = FNMS(T6, T9, T5);
+				   T2p = FMA(T6, T4, T2o);
+				   Tg = W[19];
+				   T1P = W[5];
+				   T1V = W[21];
+			      }
+			      {
+				   E Tp, Tu, Tq, T2t, Tw, T25, Tm, T1Z, Tr;
+				   {
+					E Tn, To, Ts, Tt, T2r, Tk;
+					Tn = Ip[WS(rs, 7)];
+					T2r = FMA(Tg, Te, T2q);
+					Tk = FNMS(Tg, Tj, Tf);
+					{
+					     E T2D, T1R, T2F, T1X;
+					     T2D = FNMS(T1P, T1N, T2C);
+					     T1R = FMA(T1P, T1Q, T1O);
+					     T2F = FNMS(T1V, T1T, T2E);
+					     T1X = FMA(T1V, T1W, T1U);
+					     T3p = T2p - T2r;
+					     T2s = T2p + T2r;
+					     Tl = Ta + Tk;
+					     T3o = Ta - Tk;
+					     T3w = T2F - T2D;
+					     T2G = T2D + T2F;
+					     T3z = T1X - T1R;
+					     T1Y = T1R + T1X;
+					     To = Im[WS(rs, 7)];
+					}
+					Ts = Rp[WS(rs, 7)];
+					Tt = Rm[WS(rs, 7)];
+					Tm = W[26];
+					T23 = Tn + To;
+					Tp = Tn - To;
+					T20 = Ts - Tt;
+					Tu = Ts + Tt;
+					T1Z = W[28];
+					Tq = Tm * Tp;
+				   }
+				   {
+					E Tx, Ty, TC, TD;
+					Tx = Ip[WS(rs, 3)];
+					T2t = Tm * Tu;
+					T2H = T1Z * T23;
+					T21 = T1Z * T20;
+					Ty = Im[WS(rs, 3)];
+					TC = Rp[WS(rs, 3)];
+					TD = Rm[WS(rs, 3)];
+					Tw = W[10];
+					T29 = Tx + Ty;
+					Tz = Tx - Ty;
+					T26 = TC - TD;
+					TE = TC + TD;
+					T25 = W[12];
+					TA = Tw * Tz;
+				   }
+				   Tr = W[27];
+				   T2v = Tw * TE;
+				   T2J = T25 * T29;
+				   T27 = T25 * T26;
+				   Tv = FNMS(Tr, Tu, Tq);
+				   T2u = FMA(Tr, Tp, T2t);
+				   TB = W[11];
+				   T22 = W[29];
+				   T28 = W[13];
+			      }
+			 }
+		    }
+		    {
+			 E T3r, T3s, T3A, T3x, T3M, T3l, T3L, T3m, T3f, T3i;
+			 {
+			      E T3c, TH, T36, T3g, T3h, T39, T32, T1h, T2A, T2d, T2h, T31, T2y, T30, T2Y;
+			      E T2m, T2B, T1i;
+			      {
+				   E T2x, T2M, T1L, T2c, T2X, T12, T1g;
+				   {
+					E TG, T2b, T34, T2L, T2w, TF, T37, T38, T35;
+					T2w = FMA(TB, Tz, T2v);
+					TF = FNMS(TB, TE, TA);
+					{
+					     E T2I, T24, T2K, T2a;
+					     T2I = FNMS(T22, T20, T2H);
+					     T24 = FMA(T22, T23, T21);
+					     T2K = FNMS(T28, T26, T2J);
+					     T2a = FMA(T28, T29, T27);
+					     T3r = T2u - T2w;
+					     T2x = T2u + T2w;
+					     TG = Tv + TF;
+					     T3s = Tv - TF;
+					     T2L = T2I + T2K;
+					     T3A = T2I - T2K;
+					     T3x = T2a - T24;
+					     T2b = T24 + T2a;
+					}
+					T2M = T2G + T2L;
+					T34 = T2L - T2G;
+					T37 = T1K - T1v;
+					T1L = T1v + T1K;
+					T2c = T1Y + T2b;
+					T35 = T1Y - T2b;
+					T3c = Tl - TG;
+					TH = Tl + TG;
+					T38 = T2W - T2R;
+					T2X = T2R + T2W;
+					T36 = T34 + T35;
+					T3g = T34 - T35;
+					T3M = TR - T11;
+					T12 = TR + T11;
+					T3h = T37 + T38;
+					T39 = T37 - T38;
+					T1g = T1c + T1f;
+					T3l = T1f - T1c;
+				   }
+				   T32 = T1g - T12;
+				   T1h = T12 + T1g;
+				   T2A = T2c + T1L;
+				   T2d = T1L - T2c;
+				   T3L = T2e - T2g;
+				   T2h = T2e + T2g;
+				   T31 = T2x - T2s;
+				   T2y = T2s + T2x;
+				   T30 = T2M + T2X;
+				   T2Y = T2M - T2X;
+				   T2m = T2j + T2l;
+				   T3m = T2j - T2l;
+			      }
+			      T2B = T1h - TH;
+			      T1i = TH + T1h;
+			      {
+				   E T3e, T3d, T3j, T3k;
+				   {
+					E T33, T3b, T2z, T2Z, T3a, T2n;
+					T3f = T32 - T31;
+					T33 = T31 + T32;
+					T3b = T2h - T2m;
+					T2n = T2h + T2m;
+					Im[WS(rs, 7)] = KP500000000 * (T2d - T1i);
+					Ip[0] = KP500000000 * (T1i + T2d);
+					Im[WS(rs, 3)] = KP500000000 * (T2Y - T2B);
+					Ip[WS(rs, 4)] = KP500000000 * (T2B + T2Y);
+					T2z = T2n - T2y;
+					T2Z = T2n + T2y;
+					T3a = T36 + T39;
+					T3e = T39 - T36;
+					T3d = T3b - T3c;
+					T3j = T3b + T3c;
+					Rp[WS(rs, 4)] = KP500000000 * (T2z + T2A);
+					Rm[WS(rs, 3)] = KP500000000 * (T2z - T2A);
+					Rp[0] = KP500000000 * (T2Z + T30);
+					Rm[WS(rs, 7)] = KP500000000 * (T2Z - T30);
+					Im[WS(rs, 5)] = -(KP500000000 * (FNMS(KP707106781, T3a, T33)));
+					Ip[WS(rs, 2)] = KP500000000 * (FMA(KP707106781, T3a, T33));
+					T3k = T3g + T3h;
+					T3i = T3g - T3h;
+				   }
+				   Rp[WS(rs, 2)] = KP500000000 * (FMA(KP707106781, T3k, T3j));
+				   Rm[WS(rs, 5)] = KP500000000 * (FNMS(KP707106781, T3k, T3j));
+				   Rp[WS(rs, 6)] = KP500000000 * (FMA(KP707106781, T3e, T3d));
+				   Rm[WS(rs, 1)] = KP500000000 * (FNMS(KP707106781, T3e, T3d));
+			      }
+			 }
+			 {
+			      E T3Z, T3n, T3F, T3I, T4e, T44, T4f, T47, T4a, T3u, T3U, T3C, T49, T3N, T40;
+			      E T3Q;
+			      {
+				   E T3y, T3B, T3O, T3q, T3t, T3P;
+				   {
+					E T42, T43, T45, T46;
+					T3y = T3w + T3x;
+					T42 = T3w - T3x;
+					Im[WS(rs, 1)] = -(KP500000000 * (FNMS(KP707106781, T3i, T3f)));
+					Ip[WS(rs, 6)] = KP500000000 * (FMA(KP707106781, T3i, T3f));
+					T3Z = T3m + T3l;
+					T3n = T3l - T3m;
+					T43 = T3A - T3z;
+					T3B = T3z + T3A;
+					T3F = T3D - T3E;
+					T45 = T3E + T3D;
+					T46 = T3H - T3G;
+					T3I = T3G + T3H;
+					T3O = T3p + T3o;
+					T3q = T3o - T3p;
+					T4e = FNMS(KP414213562, T42, T43);
+					T44 = FMA(KP414213562, T43, T42);
+					T4f = FNMS(KP414213562, T45, T46);
+					T47 = FMA(KP414213562, T46, T45);
+					T3t = T3r + T3s;
+					T3P = T3r - T3s;
+				   }
+				   T4a = T3q - T3t;
+				   T3u = T3q + T3t;
+				   T3U = FNMS(KP414213562, T3y, T3B);
+				   T3C = FMA(KP414213562, T3B, T3y);
+				   T49 = T3L - T3M;
+				   T3N = T3L + T3M;
+				   T40 = T3P - T3O;
+				   T3Q = T3O + T3P;
+			      }
+			      {
+				   E T3T, T3v, T3X, T3R, T3J, T3V;
+				   T3T = FNMS(KP707106781, T3u, T3n);
+				   T3v = FMA(KP707106781, T3u, T3n);
+				   T3X = FMA(KP707106781, T3Q, T3N);
+				   T3R = FNMS(KP707106781, T3Q, T3N);
+				   T3J = FNMS(KP414213562, T3I, T3F);
+				   T3V = FMA(KP414213562, T3F, T3I);
+				   {
+					E T4c, T4b, T4h, T4i, T41, T48;
+					T4d = FMA(KP707106781, T40, T3Z);
+					T41 = FNMS(KP707106781, T40, T3Z);
+					T48 = T44 - T47;
+					T4c = T44 + T47;
+					{
+					     E T3Y, T3W, T3K, T3S;
+					     T3Y = T3U + T3V;
+					     T3W = T3U - T3V;
+					     T3K = T3C + T3J;
+					     T3S = T3J - T3C;
+					     Im[WS(rs, 2)] = -(KP500000000 * (FNMS(KP923879532, T3W, T3T)));
+					     Ip[WS(rs, 5)] = KP500000000 * (FMA(KP923879532, T3W, T3T));
+					     Rp[WS(rs, 1)] = KP500000000 * (FMA(KP923879532, T3Y, T3X));
+					     Rm[WS(rs, 6)] = KP500000000 * (FNMS(KP923879532, T3Y, T3X));
+					     Rp[WS(rs, 5)] = KP500000000 * (FMA(KP923879532, T3S, T3R));
+					     Rm[WS(rs, 2)] = KP500000000 * (FNMS(KP923879532, T3S, T3R));
+					     Im[WS(rs, 6)] = -(KP500000000 * (FNMS(KP923879532, T3K, T3v)));
+					     Ip[WS(rs, 1)] = KP500000000 * (FMA(KP923879532, T3K, T3v));
+					     Ip[WS(rs, 7)] = KP500000000 * (FMA(KP923879532, T48, T41));
+					     Im[0] = -(KP500000000 * (FNMS(KP923879532, T48, T41)));
+					}
+					T4b = FMA(KP707106781, T4a, T49);
+					T4h = FNMS(KP707106781, T4a, T49);
+					T4i = T4e + T4f;
+					T4g = T4e - T4f;
+					Rm[0] = KP500000000 * (FMA(KP923879532, T4i, T4h));
+					Rp[WS(rs, 7)] = KP500000000 * (FNMS(KP923879532, T4i, T4h));
+					Rp[WS(rs, 3)] = KP500000000 * (FMA(KP923879532, T4c, T4b));
+					Rm[WS(rs, 4)] = KP500000000 * (FNMS(KP923879532, T4c, T4b));
+				   }
+			      }
+			 }
+		    }
+	       }
+	       Im[WS(rs, 4)] = -(KP500000000 * (FNMS(KP923879532, T4g, T4d)));
+	       Ip[WS(rs, 3)] = KP500000000 * (FMA(KP923879532, T4g, T4d));
+	  }
+     }
+}
+
+static const tw_instr twinstr[] = {
+     {TW_FULL, 1, 16},
+     {TW_NEXT, 1, 0}
+};
+
+static const hc2c_desc desc = { 16, "hc2cfdft_16", twinstr, &GENUS, {136, 62, 70, 0} };
+
+void X(codelet_hc2cfdft_16) (planner *p) {
+     X(khc2c_register) (p, hc2cfdft_16, &desc, HC2C_VIA_DFT);
+}
+#else				/* HAVE_FMA */
+
+/* Generated by: ../../../genfft/gen_hc2cdft.native -compact -variables 4 -pipeline-latency 4 -n 16 -dit -name hc2cfdft_16 -include hc2cf.h */
+
+/*
+ * This function contains 206 FP additions, 100 FP multiplications,
+ * (or, 168 additions, 62 multiplications, 38 fused multiply/add),
+ * 61 stack variables, 4 constants, and 64 memory accesses
+ */
+#include "hc2cf.h"
+
+static void hc2cfdft_16(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
+{
+     DK(KP461939766, +0.461939766255643378064091594698394143411208313);
+     DK(KP191341716, +0.191341716182544885864229992015199433380672281);
+     DK(KP353553390, +0.353553390593273762200422181052424519642417969);
+     DK(KP500000000, +0.500000000000000000000000000000000000000000000);
+     {
+	  INT m;
+	  for (m = mb, W = W + ((mb - 1) * 30); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 30, MAKE_VOLATILE_STRIDE(64, rs)) {
+	       E T19, T3h, T21, T2Y, T1o, T3d, T2s, T39, TW, T3i, T24, T2Z, T1z, T3c, T2p;
+	       E T3a, Tj, T2S, T28, T2R, T1L, T36, T2i, T32, TC, T2V, T2b, T2U, T1W, T35;
+	       E T2l, T33;
+	       {
+		    E T10, T1m, T14, T1k, T18, T1h, T1f, T1Z;
+		    {
+			 E TY, TZ, T12, T13;
+			 TY = Ip[WS(rs, 4)];
+			 TZ = Im[WS(rs, 4)];
+			 T10 = TY - TZ;
+			 T1m = TY + TZ;
+			 T12 = Rp[WS(rs, 4)];
+			 T13 = Rm[WS(rs, 4)];
+			 T14 = T12 + T13;
+			 T1k = T12 - T13;
+		    }
+		    {
+			 E T16, T17, T1d, T1e;
+			 T16 = Ip[0];
+			 T17 = Im[0];
+			 T18 = T16 - T17;
+			 T1h = T16 + T17;
+			 T1d = Rm[0];
+			 T1e = Rp[0];
+			 T1f = T1d - T1e;
+			 T1Z = T1e + T1d;
+		    }
+		    {
+			 E T15, T20, TX, T11;
+			 TX = W[14];
+			 T11 = W[15];
+			 T15 = FNMS(T11, T14, TX * T10);
+			 T20 = FMA(TX, T14, T11 * T10);
+			 T19 = T15 + T18;
+			 T3h = T1Z - T20;
+			 T21 = T1Z + T20;
+			 T2Y = T18 - T15;
+		    }
+		    {
+			 E T1i, T2r, T1n, T2q;
+			 {
+			      E T1c, T1g, T1j, T1l;
+			      T1c = W[0];
+			      T1g = W[1];
+			      T1i = FNMS(T1g, T1h, T1c * T1f);
+			      T2r = FMA(T1g, T1f, T1c * T1h);
+			      T1j = W[16];
+			      T1l = W[17];
+			      T1n = FMA(T1j, T1k, T1l * T1m);
+			      T2q = FNMS(T1l, T1k, T1j * T1m);
+			 }
+			 T1o = T1i - T1n;
+			 T3d = T2r - T2q;
+			 T2s = T2q + T2r;
+			 T39 = T1n + T1i;
+		    }
+	       }
+	       {
+		    E TH, T1s, TL, T1q, TQ, T1x, TU, T1v;
+		    {
+			 E TF, TG, TJ, TK;
+			 TF = Ip[WS(rs, 2)];
+			 TG = Im[WS(rs, 2)];
+			 TH = TF - TG;
+			 T1s = TF + TG;
+			 TJ = Rp[WS(rs, 2)];
+			 TK = Rm[WS(rs, 2)];
+			 TL = TJ + TK;
+			 T1q = TJ - TK;
+		    }
+		    {
+			 E TO, TP, TS, TT;
+			 TO = Ip[WS(rs, 6)];
+			 TP = Im[WS(rs, 6)];
+			 TQ = TO - TP;
+			 T1x = TO + TP;
+			 TS = Rp[WS(rs, 6)];
+			 TT = Rm[WS(rs, 6)];
+			 TU = TS + TT;
+			 T1v = TS - TT;
+		    }
+		    {
+			 E TM, T22, TV, T23;
+			 {
+			      E TE, TI, TN, TR;
+			      TE = W[6];
+			      TI = W[7];
+			      TM = FNMS(TI, TL, TE * TH);
+			      T22 = FMA(TE, TL, TI * TH);
+			      TN = W[22];
+			      TR = W[23];
+			      TV = FNMS(TR, TU, TN * TQ);
+			      T23 = FMA(TN, TU, TR * TQ);
+			 }
+			 TW = TM + TV;
+			 T3i = TM - TV;
+			 T24 = T22 + T23;
+			 T2Z = T22 - T23;
+		    }
+		    {
+			 E T1t, T2n, T1y, T2o;
+			 {
+			      E T1p, T1r, T1u, T1w;
+			      T1p = W[8];
+			      T1r = W[9];
+			      T1t = FMA(T1p, T1q, T1r * T1s);
+			      T2n = FNMS(T1r, T1q, T1p * T1s);
+			      T1u = W[24];
+			      T1w = W[25];
+			      T1y = FMA(T1u, T1v, T1w * T1x);
+			      T2o = FNMS(T1w, T1v, T1u * T1x);
+			 }
+			 T1z = T1t + T1y;
+			 T3c = T1y - T1t;
+			 T2p = T2n + T2o;
+			 T3a = T2n - T2o;
+		    }
+	       }
+	       {
+		    E T4, T1E, T8, T1C, Td, T1J, Th, T1H;
+		    {
+			 E T2, T3, T6, T7;
+			 T2 = Ip[WS(rs, 1)];
+			 T3 = Im[WS(rs, 1)];
+			 T4 = T2 - T3;
+			 T1E = T2 + T3;
+			 T6 = Rp[WS(rs, 1)];
+			 T7 = Rm[WS(rs, 1)];
+			 T8 = T6 + T7;
+			 T1C = T6 - T7;
+		    }
+		    {
+			 E Tb, Tc, Tf, Tg;
+			 Tb = Ip[WS(rs, 5)];
+			 Tc = Im[WS(rs, 5)];
+			 Td = Tb - Tc;
+			 T1J = Tb + Tc;
+			 Tf = Rp[WS(rs, 5)];
+			 Tg = Rm[WS(rs, 5)];
+			 Th = Tf + Tg;
+			 T1H = Tf - Tg;
+		    }
+		    {
+			 E T9, T26, Ti, T27;
+			 {
+			      E T1, T5, Ta, Te;
+			      T1 = W[2];
+			      T5 = W[3];
+			      T9 = FNMS(T5, T8, T1 * T4);
+			      T26 = FMA(T1, T8, T5 * T4);
+			      Ta = W[18];
+			      Te = W[19];
+			      Ti = FNMS(Te, Th, Ta * Td);
+			      T27 = FMA(Ta, Th, Te * Td);
+			 }
+			 Tj = T9 + Ti;
+			 T2S = T26 - T27;
+			 T28 = T26 + T27;
+			 T2R = T9 - Ti;
+		    }
+		    {
+			 E T1F, T2g, T1K, T2h;
+			 {
+			      E T1B, T1D, T1G, T1I;
+			      T1B = W[4];
+			      T1D = W[5];
+			      T1F = FMA(T1B, T1C, T1D * T1E);
+			      T2g = FNMS(T1D, T1C, T1B * T1E);
+			      T1G = W[20];
+			      T1I = W[21];
+			      T1K = FMA(T1G, T1H, T1I * T1J);
+			      T2h = FNMS(T1I, T1H, T1G * T1J);
+			 }
+			 T1L = T1F + T1K;
+			 T36 = T2g - T2h;
+			 T2i = T2g + T2h;
+			 T32 = T1K - T1F;
+		    }
+	       }
+	       {
+		    E Tn, T1P, Tr, T1N, Tw, T1U, TA, T1S;
+		    {
+			 E Tl, Tm, Tp, Tq;
+			 Tl = Ip[WS(rs, 7)];
+			 Tm = Im[WS(rs, 7)];
+			 Tn = Tl - Tm;
+			 T1P = Tl + Tm;
+			 Tp = Rp[WS(rs, 7)];
+			 Tq = Rm[WS(rs, 7)];
+			 Tr = Tp + Tq;
+			 T1N = Tp - Tq;
+		    }
+		    {
+			 E Tu, Tv, Ty, Tz;
+			 Tu = Ip[WS(rs, 3)];
+			 Tv = Im[WS(rs, 3)];
+			 Tw = Tu - Tv;
+			 T1U = Tu + Tv;
+			 Ty = Rp[WS(rs, 3)];
+			 Tz = Rm[WS(rs, 3)];
+			 TA = Ty + Tz;
+			 T1S = Ty - Tz;
+		    }
+		    {
+			 E Ts, T29, TB, T2a;
+			 {
+			      E Tk, To, Tt, Tx;
+			      Tk = W[26];
+			      To = W[27];
+			      Ts = FNMS(To, Tr, Tk * Tn);
+			      T29 = FMA(Tk, Tr, To * Tn);
+			      Tt = W[10];
+			      Tx = W[11];
+			      TB = FNMS(Tx, TA, Tt * Tw);
+			      T2a = FMA(Tt, TA, Tx * Tw);
+			 }
+			 TC = Ts + TB;
+			 T2V = Ts - TB;
+			 T2b = T29 + T2a;
+			 T2U = T29 - T2a;
+		    }
+		    {
+			 E T1Q, T2j, T1V, T2k;
+			 {
+			      E T1M, T1O, T1R, T1T;
+			      T1M = W[28];
+			      T1O = W[29];
+			      T1Q = FMA(T1M, T1N, T1O * T1P);
+			      T2j = FNMS(T1O, T1N, T1M * T1P);
+			      T1R = W[12];
+			      T1T = W[13];
+			      T1V = FMA(T1R, T1S, T1T * T1U);
+			      T2k = FNMS(T1T, T1S, T1R * T1U);
+			 }
+			 T1W = T1Q + T1V;
+			 T35 = T1V - T1Q;
+			 T2l = T2j + T2k;
+			 T33 = T2j - T2k;
+		    }
+	       }
+	       {
+		    E T1b, T2f, T2u, T2w, T1Y, T2e, T2d, T2v;
+		    {
+			 E TD, T1a, T2m, T2t;
+			 TD = Tj + TC;
+			 T1a = TW + T19;
+			 T1b = TD + T1a;
+			 T2f = T1a - TD;
+			 T2m = T2i + T2l;
+			 T2t = T2p + T2s;
+			 T2u = T2m - T2t;
+			 T2w = T2m + T2t;
+		    }
+		    {
+			 E T1A, T1X, T25, T2c;
+			 T1A = T1o - T1z;
+			 T1X = T1L + T1W;
+			 T1Y = T1A - T1X;
+			 T2e = T1X + T1A;
+			 T25 = T21 + T24;
+			 T2c = T28 + T2b;
+			 T2d = T25 - T2c;
+			 T2v = T25 + T2c;
+		    }
+		    Ip[0] = KP500000000 * (T1b + T1Y);
+		    Rp[0] = KP500000000 * (T2v + T2w);
+		    Im[WS(rs, 7)] = KP500000000 * (T1Y - T1b);
+		    Rm[WS(rs, 7)] = KP500000000 * (T2v - T2w);
+		    Rm[WS(rs, 3)] = KP500000000 * (T2d - T2e);
+		    Im[WS(rs, 3)] = KP500000000 * (T2u - T2f);
+		    Rp[WS(rs, 4)] = KP500000000 * (T2d + T2e);
+		    Ip[WS(rs, 4)] = KP500000000 * (T2f + T2u);
+	       }
+	       {
+		    E T2z, T2L, T2J, T2P, T2C, T2M, T2F, T2N;
+		    {
+			 E T2x, T2y, T2H, T2I;
+			 T2x = T2b - T28;
+			 T2y = T19 - TW;
+			 T2z = KP500000000 * (T2x + T2y);
+			 T2L = KP500000000 * (T2y - T2x);
+			 T2H = T21 - T24;
+			 T2I = Tj - TC;
+			 T2J = KP500000000 * (T2H - T2I);
+			 T2P = KP500000000 * (T2H + T2I);
+		    }
+		    {
+			 E T2A, T2B, T2D, T2E;
+			 T2A = T2l - T2i;
+			 T2B = T1L - T1W;
+			 T2C = T2A + T2B;
+			 T2M = T2A - T2B;
+			 T2D = T1z + T1o;
+			 T2E = T2s - T2p;
+			 T2F = T2D - T2E;
+			 T2N = T2D + T2E;
+		    }
+		    {
+			 E T2G, T2Q, T2K, T2O;
+			 T2G = KP353553390 * (T2C + T2F);
+			 Ip[WS(rs, 2)] = T2z + T2G;
+			 Im[WS(rs, 5)] = T2G - T2z;
+			 T2Q = KP353553390 * (T2M + T2N);
+			 Rm[WS(rs, 5)] = T2P - T2Q;
+			 Rp[WS(rs, 2)] = T2P + T2Q;
+			 T2K = KP353553390 * (T2F - T2C);
+			 Rm[WS(rs, 1)] = T2J - T2K;
+			 Rp[WS(rs, 6)] = T2J + T2K;
+			 T2O = KP353553390 * (T2M - T2N);
+			 Ip[WS(rs, 6)] = T2L + T2O;
+			 Im[WS(rs, 1)] = T2O - T2L;
+		    }
+	       }
+	       {
+		    E T30, T3w, T3F, T3j, T2X, T3G, T3D, T3L, T3m, T3v, T38, T3q, T3A, T3K, T3f;
+		    E T3r;
+		    {
+			 E T2T, T2W, T34, T37;
+			 T30 = KP500000000 * (T2Y - T2Z);
+			 T3w = KP500000000 * (T2Z + T2Y);
+			 T3F = KP500000000 * (T3h - T3i);
+			 T3j = KP500000000 * (T3h + T3i);
+			 T2T = T2R - T2S;
+			 T2W = T2U + T2V;
+			 T2X = KP353553390 * (T2T + T2W);
+			 T3G = KP353553390 * (T2T - T2W);
+			 {
+			      E T3B, T3C, T3k, T3l;
+			      T3B = T3a + T39;
+			      T3C = T3d - T3c;
+			      T3D = FNMS(KP461939766, T3C, KP191341716 * T3B);
+			      T3L = FMA(KP461939766, T3B, KP191341716 * T3C);
+			      T3k = T2S + T2R;
+			      T3l = T2U - T2V;
+			      T3m = KP353553390 * (T3k + T3l);
+			      T3v = KP353553390 * (T3l - T3k);
+			 }
+			 T34 = T32 + T33;
+			 T37 = T35 - T36;
+			 T38 = FMA(KP191341716, T34, KP461939766 * T37);
+			 T3q = FNMS(KP191341716, T37, KP461939766 * T34);
+			 {
+			      E T3y, T3z, T3b, T3e;
+			      T3y = T33 - T32;
+			      T3z = T36 + T35;
+			      T3A = FMA(KP461939766, T3y, KP191341716 * T3z);
+			      T3K = FNMS(KP461939766, T3z, KP191341716 * T3y);
+			      T3b = T39 - T3a;
+			      T3e = T3c + T3d;
+			      T3f = FNMS(KP191341716, T3e, KP461939766 * T3b);
+			      T3r = FMA(KP191341716, T3b, KP461939766 * T3e);
+			 }
+		    }
+		    {
+			 E T31, T3g, T3t, T3u;
+			 T31 = T2X + T30;
+			 T3g = T38 + T3f;
+			 Ip[WS(rs, 1)] = T31 + T3g;
+			 Im[WS(rs, 6)] = T3g - T31;
+			 T3t = T3j + T3m;
+			 T3u = T3q + T3r;
+			 Rm[WS(rs, 6)] = T3t - T3u;
+			 Rp[WS(rs, 1)] = T3t + T3u;
+		    }
+		    {
+			 E T3n, T3o, T3p, T3s;
+			 T3n = T3j - T3m;
+			 T3o = T3f - T38;
+			 Rm[WS(rs, 2)] = T3n - T3o;
+			 Rp[WS(rs, 5)] = T3n + T3o;
+			 T3p = T30 - T2X;
+			 T3s = T3q - T3r;
+			 Ip[WS(rs, 5)] = T3p + T3s;
+			 Im[WS(rs, 2)] = T3s - T3p;
+		    }
+		    {
+			 E T3x, T3E, T3N, T3O;
+			 T3x = T3v + T3w;
+			 T3E = T3A + T3D;
+			 Ip[WS(rs, 3)] = T3x + T3E;
+			 Im[WS(rs, 4)] = T3E - T3x;
+			 T3N = T3F + T3G;
+			 T3O = T3K + T3L;
+			 Rm[WS(rs, 4)] = T3N - T3O;
+			 Rp[WS(rs, 3)] = T3N + T3O;
+		    }
+		    {
+			 E T3H, T3I, T3J, T3M;
+			 T3H = T3F - T3G;
+			 T3I = T3D - T3A;
+			 Rm[0] = T3H - T3I;
+			 Rp[WS(rs, 7)] = T3H + T3I;
+			 T3J = T3w - T3v;
+			 T3M = T3K - T3L;
+			 Ip[WS(rs, 7)] = T3J + T3M;
+			 Im[0] = T3M - T3J;
+		    }
+	       }
+	  }
+     }
+}
+
+static const tw_instr twinstr[] = {
+     {TW_FULL, 1, 16},
+     {TW_NEXT, 1, 0}
+};
+
+static const hc2c_desc desc = { 16, "hc2cfdft_16", twinstr, &GENUS, {168, 62, 38, 0} };
+
+void X(codelet_hc2cfdft_16) (planner *p) {
+     X(khc2c_register) (p, hc2cfdft_16, &desc, HC2C_VIA_DFT);
+}
+#endif				/* HAVE_FMA */