cannam@167
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1 /*
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cannam@167
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2 * Copyright (c) 2003, 2007-14 Matteo Frigo
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cannam@167
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3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
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4 *
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5 * This program is free software; you can redistribute it and/or modify
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cannam@167
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6 * it under the terms of the GNU General Public License as published by
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7 * the Free Software Foundation; either version 2 of the License, or
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cannam@167
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8 * (at your option) any later version.
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cannam@167
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9 *
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10 * This program is distributed in the hope that it will be useful,
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11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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13 * GNU General Public License for more details.
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14 *
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15 * You should have received a copy of the GNU General Public License
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cannam@167
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16 * along with this program; if not, write to the Free Software
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17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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cannam@167
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18 *
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19 */
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20
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21 /* This file was automatically generated --- DO NOT EDIT */
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22 /* Generated on Thu May 24 08:06:30 EDT 2018 */
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23
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cannam@167
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24 #include "rdft/codelet-rdft.h"
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25
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26 #if defined(ARCH_PREFERS_FMA) || defined(ISA_EXTENSION_PREFERS_FMA)
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27
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cannam@167
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28 /* Generated by: ../../../genfft/gen_hc2hc.native -fma -compact -variables 4 -pipeline-latency 4 -n 16 -dit -name hf_16 -include rdft/scalar/hf.h */
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29
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30 /*
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cannam@167
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31 * This function contains 174 FP additions, 100 FP multiplications,
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cannam@167
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32 * (or, 104 additions, 30 multiplications, 70 fused multiply/add),
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cannam@167
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33 * 60 stack variables, 3 constants, and 64 memory accesses
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34 */
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cannam@167
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35 #include "rdft/scalar/hf.h"
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36
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cannam@167
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37 static void hf_16(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
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cannam@167
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38 {
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cannam@167
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39 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
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cannam@167
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40 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
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cannam@167
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41 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
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cannam@167
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42 {
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cannam@167
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43 INT m;
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cannam@167
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44 for (m = mb, W = W + ((mb - 1) * 30); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 30, MAKE_VOLATILE_STRIDE(32, rs)) {
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cannam@167
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45 E T8, T3A, T1I, T3o, T1s, T35, T2k, T2w, T1F, T36, T2p, T2r, Tl, T3z, T1N;
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cannam@167
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46 E T3k, Tz, T2W, T1P, T1U, T11, T30, T25, T2g, T1e, T31, T2a, T2h, TM, T2V;
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47 E T1W, T21;
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48 {
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cannam@167
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49 E T1, T3n, T3, T6, T4, T3l, T2, T7, T3m, T5;
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cannam@167
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50 T1 = cr[0];
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cannam@167
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51 T3n = ci[0];
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cannam@167
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52 T3 = cr[WS(rs, 8)];
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cannam@167
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53 T6 = ci[WS(rs, 8)];
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cannam@167
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54 T2 = W[14];
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cannam@167
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55 T4 = T2 * T3;
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cannam@167
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56 T3l = T2 * T6;
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cannam@167
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57 T5 = W[15];
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cannam@167
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58 T7 = FMA(T5, T6, T4);
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cannam@167
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59 T3m = FNMS(T5, T3, T3l);
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cannam@167
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60 T8 = T1 + T7;
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cannam@167
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61 T3A = T3n - T3m;
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cannam@167
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62 T1I = T1 - T7;
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cannam@167
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63 T3o = T3m + T3n;
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64 }
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cannam@167
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65 {
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cannam@167
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66 E T1h, T1k, T1i, T2s, T1n, T1q, T1o, T2u, T1g, T1m;
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67 T1h = cr[WS(rs, 15)];
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68 T1k = ci[WS(rs, 15)];
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69 T1g = W[28];
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70 T1i = T1g * T1h;
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71 T2s = T1g * T1k;
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72 T1n = cr[WS(rs, 7)];
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73 T1q = ci[WS(rs, 7)];
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74 T1m = W[12];
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75 T1o = T1m * T1n;
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76 T2u = T1m * T1q;
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77 {
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cannam@167
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78 E T1l, T2t, T1r, T2v, T1j, T1p;
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cannam@167
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79 T1j = W[29];
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80 T1l = FMA(T1j, T1k, T1i);
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cannam@167
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81 T2t = FNMS(T1j, T1h, T2s);
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cannam@167
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82 T1p = W[13];
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cannam@167
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83 T1r = FMA(T1p, T1q, T1o);
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cannam@167
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84 T2v = FNMS(T1p, T1n, T2u);
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cannam@167
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85 T1s = T1l + T1r;
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cannam@167
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86 T35 = T2t + T2v;
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87 T2k = T1l - T1r;
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cannam@167
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88 T2w = T2t - T2v;
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89 }
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90 }
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cannam@167
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91 {
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cannam@167
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92 E T1u, T1x, T1v, T2l, T1A, T1D, T1B, T2n, T1t, T1z;
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93 T1u = cr[WS(rs, 3)];
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94 T1x = ci[WS(rs, 3)];
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95 T1t = W[4];
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cannam@167
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96 T1v = T1t * T1u;
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97 T2l = T1t * T1x;
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98 T1A = cr[WS(rs, 11)];
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99 T1D = ci[WS(rs, 11)];
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cannam@167
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100 T1z = W[20];
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cannam@167
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101 T1B = T1z * T1A;
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102 T2n = T1z * T1D;
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103 {
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cannam@167
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104 E T1y, T2m, T1E, T2o, T1w, T1C;
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cannam@167
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105 T1w = W[5];
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cannam@167
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106 T1y = FMA(T1w, T1x, T1v);
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cannam@167
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107 T2m = FNMS(T1w, T1u, T2l);
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cannam@167
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108 T1C = W[21];
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cannam@167
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109 T1E = FMA(T1C, T1D, T1B);
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cannam@167
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110 T2o = FNMS(T1C, T1A, T2n);
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cannam@167
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111 T1F = T1y + T1E;
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cannam@167
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112 T36 = T2m + T2o;
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113 T2p = T2m - T2o;
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cannam@167
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114 T2r = T1E - T1y;
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115 }
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cannam@167
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116 }
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cannam@167
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117 {
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cannam@167
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118 E Ta, Td, Tb, T1J, Tg, Tj, Th, T1L, T9, Tf;
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119 Ta = cr[WS(rs, 4)];
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120 Td = ci[WS(rs, 4)];
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cannam@167
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121 T9 = W[6];
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cannam@167
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122 Tb = T9 * Ta;
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123 T1J = T9 * Td;
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124 Tg = cr[WS(rs, 12)];
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125 Tj = ci[WS(rs, 12)];
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cannam@167
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126 Tf = W[22];
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127 Th = Tf * Tg;
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128 T1L = Tf * Tj;
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129 {
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cannam@167
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130 E Te, T1K, Tk, T1M, Tc, Ti;
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131 Tc = W[7];
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132 Te = FMA(Tc, Td, Tb);
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cannam@167
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133 T1K = FNMS(Tc, Ta, T1J);
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134 Ti = W[23];
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cannam@167
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135 Tk = FMA(Ti, Tj, Th);
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cannam@167
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136 T1M = FNMS(Ti, Tg, T1L);
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cannam@167
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137 Tl = Te + Tk;
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138 T3z = Te - Tk;
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cannam@167
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139 T1N = T1K - T1M;
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cannam@167
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140 T3k = T1K + T1M;
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cannam@167
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141 }
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cannam@167
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142 }
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cannam@167
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143 {
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cannam@167
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144 E To, Tr, Tp, T1Q, Tu, Tx, Tv, T1S, Tn, Tt;
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cannam@167
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145 To = cr[WS(rs, 2)];
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cannam@167
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146 Tr = ci[WS(rs, 2)];
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cannam@167
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147 Tn = W[2];
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cannam@167
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148 Tp = Tn * To;
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cannam@167
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149 T1Q = Tn * Tr;
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cannam@167
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150 Tu = cr[WS(rs, 10)];
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cannam@167
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151 Tx = ci[WS(rs, 10)];
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cannam@167
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152 Tt = W[18];
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cannam@167
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153 Tv = Tt * Tu;
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cannam@167
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154 T1S = Tt * Tx;
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cannam@167
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155 {
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cannam@167
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156 E Ts, T1R, Ty, T1T, Tq, Tw;
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cannam@167
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157 Tq = W[3];
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cannam@167
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158 Ts = FMA(Tq, Tr, Tp);
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cannam@167
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159 T1R = FNMS(Tq, To, T1Q);
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cannam@167
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160 Tw = W[19];
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cannam@167
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161 Ty = FMA(Tw, Tx, Tv);
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cannam@167
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162 T1T = FNMS(Tw, Tu, T1S);
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cannam@167
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163 Tz = Ts + Ty;
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cannam@167
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164 T2W = T1R + T1T;
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cannam@167
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165 T1P = Ts - Ty;
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cannam@167
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166 T1U = T1R - T1T;
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cannam@167
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167 }
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cannam@167
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168 }
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cannam@167
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169 {
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cannam@167
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170 E TQ, TT, TR, T2c, TW, TZ, TX, T2e, TP, TV;
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cannam@167
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171 TQ = cr[WS(rs, 1)];
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cannam@167
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172 TT = ci[WS(rs, 1)];
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cannam@167
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173 TP = W[0];
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cannam@167
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174 TR = TP * TQ;
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cannam@167
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175 T2c = TP * TT;
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cannam@167
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176 TW = cr[WS(rs, 9)];
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cannam@167
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177 TZ = ci[WS(rs, 9)];
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cannam@167
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178 TV = W[16];
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cannam@167
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179 TX = TV * TW;
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cannam@167
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180 T2e = TV * TZ;
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cannam@167
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181 {
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cannam@167
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182 E TU, T2d, T10, T2f, TS, TY;
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cannam@167
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183 TS = W[1];
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cannam@167
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184 TU = FMA(TS, TT, TR);
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cannam@167
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185 T2d = FNMS(TS, TQ, T2c);
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cannam@167
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186 TY = W[17];
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cannam@167
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187 T10 = FMA(TY, TZ, TX);
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cannam@167
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188 T2f = FNMS(TY, TW, T2e);
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cannam@167
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189 T11 = TU + T10;
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cannam@167
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190 T30 = T2d + T2f;
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cannam@167
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191 T25 = TU - T10;
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cannam@167
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192 T2g = T2d - T2f;
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cannam@167
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193 }
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cannam@167
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194 }
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cannam@167
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195 {
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cannam@167
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196 E T13, T16, T14, T26, T19, T1c, T1a, T28, T12, T18;
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cannam@167
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197 T13 = cr[WS(rs, 5)];
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cannam@167
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198 T16 = ci[WS(rs, 5)];
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cannam@167
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199 T12 = W[8];
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cannam@167
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200 T14 = T12 * T13;
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cannam@167
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201 T26 = T12 * T16;
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cannam@167
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202 T19 = cr[WS(rs, 13)];
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cannam@167
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203 T1c = ci[WS(rs, 13)];
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cannam@167
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204 T18 = W[24];
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cannam@167
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205 T1a = T18 * T19;
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cannam@167
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206 T28 = T18 * T1c;
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cannam@167
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207 {
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cannam@167
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208 E T17, T27, T1d, T29, T15, T1b;
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cannam@167
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209 T15 = W[9];
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cannam@167
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210 T17 = FMA(T15, T16, T14);
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cannam@167
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211 T27 = FNMS(T15, T13, T26);
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cannam@167
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212 T1b = W[25];
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cannam@167
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213 T1d = FMA(T1b, T1c, T1a);
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cannam@167
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214 T29 = FNMS(T1b, T19, T28);
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cannam@167
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215 T1e = T17 + T1d;
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cannam@167
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216 T31 = T27 + T29;
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cannam@167
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217 T2a = T27 - T29;
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cannam@167
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218 T2h = T17 - T1d;
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cannam@167
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219 }
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cannam@167
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220 }
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cannam@167
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221 {
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cannam@167
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222 E TB, TE, TC, T1X, TH, TK, TI, T1Z, TA, TG;
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cannam@167
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223 TB = cr[WS(rs, 14)];
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cannam@167
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224 TE = ci[WS(rs, 14)];
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cannam@167
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225 TA = W[26];
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cannam@167
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226 TC = TA * TB;
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cannam@167
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227 T1X = TA * TE;
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cannam@167
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228 TH = cr[WS(rs, 6)];
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cannam@167
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229 TK = ci[WS(rs, 6)];
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cannam@167
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230 TG = W[10];
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cannam@167
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231 TI = TG * TH;
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cannam@167
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232 T1Z = TG * TK;
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cannam@167
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233 {
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cannam@167
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234 E TF, T1Y, TL, T20, TD, TJ;
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cannam@167
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235 TD = W[27];
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cannam@167
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236 TF = FMA(TD, TE, TC);
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cannam@167
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237 T1Y = FNMS(TD, TB, T1X);
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cannam@167
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238 TJ = W[11];
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cannam@167
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239 TL = FMA(TJ, TK, TI);
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cannam@167
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240 T20 = FNMS(TJ, TH, T1Z);
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cannam@167
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241 TM = TF + TL;
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cannam@167
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242 T2V = T1Y + T20;
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cannam@167
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243 T1W = TF - TL;
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cannam@167
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244 T21 = T1Y - T20;
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cannam@167
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245 }
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cannam@167
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246 }
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cannam@167
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247 {
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cannam@167
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248 E TO, T3e, T3q, T3s, T1H, T3r, T3h, T3i;
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cannam@167
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249 {
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cannam@167
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250 E Tm, TN, T3j, T3p;
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cannam@167
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251 Tm = T8 + Tl;
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cannam@167
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252 TN = Tz + TM;
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cannam@167
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253 TO = Tm + TN;
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cannam@167
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254 T3e = Tm - TN;
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cannam@167
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255 T3j = T2W + T2V;
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cannam@167
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256 T3p = T3k + T3o;
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cannam@167
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257 T3q = T3j + T3p;
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cannam@167
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258 T3s = T3p - T3j;
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cannam@167
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259 }
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cannam@167
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260 {
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cannam@167
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261 E T1f, T1G, T3f, T3g;
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cannam@167
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262 T1f = T11 + T1e;
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cannam@167
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263 T1G = T1s + T1F;
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cannam@167
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264 T1H = T1f + T1G;
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cannam@167
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265 T3r = T1G - T1f;
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cannam@167
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266 T3f = T35 + T36;
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cannam@167
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267 T3g = T30 + T31;
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cannam@167
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268 T3h = T3f - T3g;
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cannam@167
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269 T3i = T3g + T3f;
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cannam@167
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270 }
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cannam@167
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271 ci[WS(rs, 7)] = TO - T1H;
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cannam@167
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272 cr[WS(rs, 12)] = T3r - T3s;
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cannam@167
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273 ci[WS(rs, 11)] = T3r + T3s;
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cannam@167
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274 cr[0] = TO + T1H;
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cannam@167
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275 cr[WS(rs, 4)] = T3e - T3h;
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cannam@167
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276 cr[WS(rs, 8)] = T3i - T3q;
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cannam@167
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277 ci[WS(rs, 15)] = T3i + T3q;
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cannam@167
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278 ci[WS(rs, 3)] = T3e + T3h;
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cannam@167
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279 }
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cannam@167
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280 {
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cannam@167
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281 E T2Y, T3a, T3v, T3x, T33, T3b, T38, T3c;
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cannam@167
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282 {
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cannam@167
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283 E T2U, T2X, T3t, T3u;
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cannam@167
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284 T2U = T8 - Tl;
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cannam@167
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285 T2X = T2V - T2W;
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cannam@167
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286 T2Y = T2U - T2X;
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cannam@167
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287 T3a = T2U + T2X;
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cannam@167
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288 T3t = Tz - TM;
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cannam@167
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289 T3u = T3o - T3k;
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cannam@167
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290 T3v = T3t + T3u;
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cannam@167
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291 T3x = T3u - T3t;
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cannam@167
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292 }
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cannam@167
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293 {
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cannam@167
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294 E T2Z, T32, T34, T37;
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cannam@167
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295 T2Z = T11 - T1e;
|
cannam@167
|
296 T32 = T30 - T31;
|
cannam@167
|
297 T33 = T2Z + T32;
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cannam@167
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298 T3b = T2Z - T32;
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cannam@167
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299 T34 = T1s - T1F;
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cannam@167
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300 T37 = T35 - T36;
|
cannam@167
|
301 T38 = T34 - T37;
|
cannam@167
|
302 T3c = T34 + T37;
|
cannam@167
|
303 }
|
cannam@167
|
304 {
|
cannam@167
|
305 E T39, T3y, T3d, T3w;
|
cannam@167
|
306 T39 = T33 + T38;
|
cannam@167
|
307 ci[WS(rs, 5)] = FNMS(KP707106781, T39, T2Y);
|
cannam@167
|
308 cr[WS(rs, 2)] = FMA(KP707106781, T39, T2Y);
|
cannam@167
|
309 T3y = T3c - T3b;
|
cannam@167
|
310 cr[WS(rs, 10)] = FMS(KP707106781, T3y, T3x);
|
cannam@167
|
311 ci[WS(rs, 13)] = FMA(KP707106781, T3y, T3x);
|
cannam@167
|
312 T3d = T3b + T3c;
|
cannam@167
|
313 cr[WS(rs, 6)] = FNMS(KP707106781, T3d, T3a);
|
cannam@167
|
314 ci[WS(rs, 1)] = FMA(KP707106781, T3d, T3a);
|
cannam@167
|
315 T3w = T38 - T33;
|
cannam@167
|
316 cr[WS(rs, 14)] = FMS(KP707106781, T3w, T3v);
|
cannam@167
|
317 ci[WS(rs, 9)] = FMA(KP707106781, T3w, T3v);
|
cannam@167
|
318 }
|
cannam@167
|
319 }
|
cannam@167
|
320 {
|
cannam@167
|
321 E T1O, T3B, T3H, T2E, T23, T3I, T2O, T2R, T2H, T3C, T2j, T2B, T2L, T2S, T2y;
|
cannam@167
|
322 E T2C;
|
cannam@167
|
323 {
|
cannam@167
|
324 E T1V, T22, T2b, T2i;
|
cannam@167
|
325 T1O = T1I - T1N;
|
cannam@167
|
326 T3B = T3z + T3A;
|
cannam@167
|
327 T3H = T3A - T3z;
|
cannam@167
|
328 T2E = T1I + T1N;
|
cannam@167
|
329 T1V = T1P - T1U;
|
cannam@167
|
330 T22 = T1W + T21;
|
cannam@167
|
331 T23 = T1V + T22;
|
cannam@167
|
332 T3I = T22 - T1V;
|
cannam@167
|
333 {
|
cannam@167
|
334 E T2M, T2N, T2F, T2G;
|
cannam@167
|
335 T2M = T2k + T2p;
|
cannam@167
|
336 T2N = T2w + T2r;
|
cannam@167
|
337 T2O = FNMS(KP414213562, T2N, T2M);
|
cannam@167
|
338 T2R = FMA(KP414213562, T2M, T2N);
|
cannam@167
|
339 T2F = T1P + T1U;
|
cannam@167
|
340 T2G = T1W - T21;
|
cannam@167
|
341 T2H = T2F + T2G;
|
cannam@167
|
342 T3C = T2F - T2G;
|
cannam@167
|
343 }
|
cannam@167
|
344 T2b = T25 - T2a;
|
cannam@167
|
345 T2i = T2g + T2h;
|
cannam@167
|
346 T2j = FNMS(KP414213562, T2i, T2b);
|
cannam@167
|
347 T2B = FMA(KP414213562, T2b, T2i);
|
cannam@167
|
348 {
|
cannam@167
|
349 E T2J, T2K, T2q, T2x;
|
cannam@167
|
350 T2J = T25 + T2a;
|
cannam@167
|
351 T2K = T2g - T2h;
|
cannam@167
|
352 T2L = FMA(KP414213562, T2K, T2J);
|
cannam@167
|
353 T2S = FNMS(KP414213562, T2J, T2K);
|
cannam@167
|
354 T2q = T2k - T2p;
|
cannam@167
|
355 T2x = T2r - T2w;
|
cannam@167
|
356 T2y = FNMS(KP414213562, T2x, T2q);
|
cannam@167
|
357 T2C = FMA(KP414213562, T2q, T2x);
|
cannam@167
|
358 }
|
cannam@167
|
359 }
|
cannam@167
|
360 {
|
cannam@167
|
361 E T24, T2z, T3J, T3K;
|
cannam@167
|
362 T24 = FMA(KP707106781, T23, T1O);
|
cannam@167
|
363 T2z = T2j + T2y;
|
cannam@167
|
364 cr[WS(rs, 7)] = FNMS(KP923879532, T2z, T24);
|
cannam@167
|
365 ci[0] = FMA(KP923879532, T2z, T24);
|
cannam@167
|
366 T3J = FMA(KP707106781, T3I, T3H);
|
cannam@167
|
367 T3K = T2S + T2R;
|
cannam@167
|
368 cr[WS(rs, 9)] = FMS(KP923879532, T3K, T3J);
|
cannam@167
|
369 ci[WS(rs, 14)] = FMA(KP923879532, T3K, T3J);
|
cannam@167
|
370 }
|
cannam@167
|
371 {
|
cannam@167
|
372 E T3L, T3M, T2A, T2D;
|
cannam@167
|
373 T3L = FNMS(KP707106781, T3I, T3H);
|
cannam@167
|
374 T3M = T2O - T2L;
|
cannam@167
|
375 cr[WS(rs, 13)] = FMS(KP923879532, T3M, T3L);
|
cannam@167
|
376 ci[WS(rs, 10)] = FMA(KP923879532, T3M, T3L);
|
cannam@167
|
377 T2A = FNMS(KP707106781, T23, T1O);
|
cannam@167
|
378 T2D = T2B + T2C;
|
cannam@167
|
379 ci[WS(rs, 4)] = FNMS(KP923879532, T2D, T2A);
|
cannam@167
|
380 cr[WS(rs, 3)] = FMA(KP923879532, T2D, T2A);
|
cannam@167
|
381 }
|
cannam@167
|
382 {
|
cannam@167
|
383 E T2I, T2P, T3D, T3E;
|
cannam@167
|
384 T2I = FMA(KP707106781, T2H, T2E);
|
cannam@167
|
385 T2P = T2L + T2O;
|
cannam@167
|
386 ci[WS(rs, 6)] = FNMS(KP923879532, T2P, T2I);
|
cannam@167
|
387 cr[WS(rs, 1)] = FMA(KP923879532, T2P, T2I);
|
cannam@167
|
388 T3D = FMA(KP707106781, T3C, T3B);
|
cannam@167
|
389 T3E = T2C - T2B;
|
cannam@167
|
390 cr[WS(rs, 15)] = FMS(KP923879532, T3E, T3D);
|
cannam@167
|
391 ci[WS(rs, 8)] = FMA(KP923879532, T3E, T3D);
|
cannam@167
|
392 }
|
cannam@167
|
393 {
|
cannam@167
|
394 E T3F, T3G, T2Q, T2T;
|
cannam@167
|
395 T3F = FNMS(KP707106781, T3C, T3B);
|
cannam@167
|
396 T3G = T2y - T2j;
|
cannam@167
|
397 cr[WS(rs, 11)] = FMS(KP923879532, T3G, T3F);
|
cannam@167
|
398 ci[WS(rs, 12)] = FMA(KP923879532, T3G, T3F);
|
cannam@167
|
399 T2Q = FNMS(KP707106781, T2H, T2E);
|
cannam@167
|
400 T2T = T2R - T2S;
|
cannam@167
|
401 cr[WS(rs, 5)] = FNMS(KP923879532, T2T, T2Q);
|
cannam@167
|
402 ci[WS(rs, 2)] = FMA(KP923879532, T2T, T2Q);
|
cannam@167
|
403 }
|
cannam@167
|
404 }
|
cannam@167
|
405 }
|
cannam@167
|
406 }
|
cannam@167
|
407 }
|
cannam@167
|
408
|
cannam@167
|
409 static const tw_instr twinstr[] = {
|
cannam@167
|
410 {TW_FULL, 1, 16},
|
cannam@167
|
411 {TW_NEXT, 1, 0}
|
cannam@167
|
412 };
|
cannam@167
|
413
|
cannam@167
|
414 static const hc2hc_desc desc = { 16, "hf_16", twinstr, &GENUS, {104, 30, 70, 0} };
|
cannam@167
|
415
|
cannam@167
|
416 void X(codelet_hf_16) (planner *p) {
|
cannam@167
|
417 X(khc2hc_register) (p, hf_16, &desc);
|
cannam@167
|
418 }
|
cannam@167
|
419 #else
|
cannam@167
|
420
|
cannam@167
|
421 /* Generated by: ../../../genfft/gen_hc2hc.native -compact -variables 4 -pipeline-latency 4 -n 16 -dit -name hf_16 -include rdft/scalar/hf.h */
|
cannam@167
|
422
|
cannam@167
|
423 /*
|
cannam@167
|
424 * This function contains 174 FP additions, 84 FP multiplications,
|
cannam@167
|
425 * (or, 136 additions, 46 multiplications, 38 fused multiply/add),
|
cannam@167
|
426 * 52 stack variables, 3 constants, and 64 memory accesses
|
cannam@167
|
427 */
|
cannam@167
|
428 #include "rdft/scalar/hf.h"
|
cannam@167
|
429
|
cannam@167
|
430 static void hf_16(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
|
cannam@167
|
431 {
|
cannam@167
|
432 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
|
cannam@167
|
433 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
|
cannam@167
|
434 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
|
cannam@167
|
435 {
|
cannam@167
|
436 INT m;
|
cannam@167
|
437 for (m = mb, W = W + ((mb - 1) * 30); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 30, MAKE_VOLATILE_STRIDE(32, rs)) {
|
cannam@167
|
438 E T7, T38, T1t, T2U, Ti, T37, T1w, T2R, Tu, T2t, T1C, T2c, TF, T2s, T1H;
|
cannam@167
|
439 E T2d, T1f, T1q, T2B, T2C, T2D, T2E, T1Z, T2k, T24, T2j, TS, T13, T2w, T2x;
|
cannam@167
|
440 E T2y, T2z, T1O, T2h, T1T, T2g;
|
cannam@167
|
441 {
|
cannam@167
|
442 E T1, T2T, T6, T2S;
|
cannam@167
|
443 T1 = cr[0];
|
cannam@167
|
444 T2T = ci[0];
|
cannam@167
|
445 {
|
cannam@167
|
446 E T3, T5, T2, T4;
|
cannam@167
|
447 T3 = cr[WS(rs, 8)];
|
cannam@167
|
448 T5 = ci[WS(rs, 8)];
|
cannam@167
|
449 T2 = W[14];
|
cannam@167
|
450 T4 = W[15];
|
cannam@167
|
451 T6 = FMA(T2, T3, T4 * T5);
|
cannam@167
|
452 T2S = FNMS(T4, T3, T2 * T5);
|
cannam@167
|
453 }
|
cannam@167
|
454 T7 = T1 + T6;
|
cannam@167
|
455 T38 = T2T - T2S;
|
cannam@167
|
456 T1t = T1 - T6;
|
cannam@167
|
457 T2U = T2S + T2T;
|
cannam@167
|
458 }
|
cannam@167
|
459 {
|
cannam@167
|
460 E Tc, T1u, Th, T1v;
|
cannam@167
|
461 {
|
cannam@167
|
462 E T9, Tb, T8, Ta;
|
cannam@167
|
463 T9 = cr[WS(rs, 4)];
|
cannam@167
|
464 Tb = ci[WS(rs, 4)];
|
cannam@167
|
465 T8 = W[6];
|
cannam@167
|
466 Ta = W[7];
|
cannam@167
|
467 Tc = FMA(T8, T9, Ta * Tb);
|
cannam@167
|
468 T1u = FNMS(Ta, T9, T8 * Tb);
|
cannam@167
|
469 }
|
cannam@167
|
470 {
|
cannam@167
|
471 E Te, Tg, Td, Tf;
|
cannam@167
|
472 Te = cr[WS(rs, 12)];
|
cannam@167
|
473 Tg = ci[WS(rs, 12)];
|
cannam@167
|
474 Td = W[22];
|
cannam@167
|
475 Tf = W[23];
|
cannam@167
|
476 Th = FMA(Td, Te, Tf * Tg);
|
cannam@167
|
477 T1v = FNMS(Tf, Te, Td * Tg);
|
cannam@167
|
478 }
|
cannam@167
|
479 Ti = Tc + Th;
|
cannam@167
|
480 T37 = Tc - Th;
|
cannam@167
|
481 T1w = T1u - T1v;
|
cannam@167
|
482 T2R = T1u + T1v;
|
cannam@167
|
483 }
|
cannam@167
|
484 {
|
cannam@167
|
485 E To, T1z, Tt, T1A, T1y, T1B;
|
cannam@167
|
486 {
|
cannam@167
|
487 E Tl, Tn, Tk, Tm;
|
cannam@167
|
488 Tl = cr[WS(rs, 2)];
|
cannam@167
|
489 Tn = ci[WS(rs, 2)];
|
cannam@167
|
490 Tk = W[2];
|
cannam@167
|
491 Tm = W[3];
|
cannam@167
|
492 To = FMA(Tk, Tl, Tm * Tn);
|
cannam@167
|
493 T1z = FNMS(Tm, Tl, Tk * Tn);
|
cannam@167
|
494 }
|
cannam@167
|
495 {
|
cannam@167
|
496 E Tq, Ts, Tp, Tr;
|
cannam@167
|
497 Tq = cr[WS(rs, 10)];
|
cannam@167
|
498 Ts = ci[WS(rs, 10)];
|
cannam@167
|
499 Tp = W[18];
|
cannam@167
|
500 Tr = W[19];
|
cannam@167
|
501 Tt = FMA(Tp, Tq, Tr * Ts);
|
cannam@167
|
502 T1A = FNMS(Tr, Tq, Tp * Ts);
|
cannam@167
|
503 }
|
cannam@167
|
504 Tu = To + Tt;
|
cannam@167
|
505 T2t = T1z + T1A;
|
cannam@167
|
506 T1y = To - Tt;
|
cannam@167
|
507 T1B = T1z - T1A;
|
cannam@167
|
508 T1C = T1y - T1B;
|
cannam@167
|
509 T2c = T1y + T1B;
|
cannam@167
|
510 }
|
cannam@167
|
511 {
|
cannam@167
|
512 E Tz, T1E, TE, T1F, T1D, T1G;
|
cannam@167
|
513 {
|
cannam@167
|
514 E Tw, Ty, Tv, Tx;
|
cannam@167
|
515 Tw = cr[WS(rs, 14)];
|
cannam@167
|
516 Ty = ci[WS(rs, 14)];
|
cannam@167
|
517 Tv = W[26];
|
cannam@167
|
518 Tx = W[27];
|
cannam@167
|
519 Tz = FMA(Tv, Tw, Tx * Ty);
|
cannam@167
|
520 T1E = FNMS(Tx, Tw, Tv * Ty);
|
cannam@167
|
521 }
|
cannam@167
|
522 {
|
cannam@167
|
523 E TB, TD, TA, TC;
|
cannam@167
|
524 TB = cr[WS(rs, 6)];
|
cannam@167
|
525 TD = ci[WS(rs, 6)];
|
cannam@167
|
526 TA = W[10];
|
cannam@167
|
527 TC = W[11];
|
cannam@167
|
528 TE = FMA(TA, TB, TC * TD);
|
cannam@167
|
529 T1F = FNMS(TC, TB, TA * TD);
|
cannam@167
|
530 }
|
cannam@167
|
531 TF = Tz + TE;
|
cannam@167
|
532 T2s = T1E + T1F;
|
cannam@167
|
533 T1D = Tz - TE;
|
cannam@167
|
534 T1G = T1E - T1F;
|
cannam@167
|
535 T1H = T1D + T1G;
|
cannam@167
|
536 T2d = T1D - T1G;
|
cannam@167
|
537 }
|
cannam@167
|
538 {
|
cannam@167
|
539 E T19, T1V, T1p, T22, T1e, T1W, T1k, T21;
|
cannam@167
|
540 {
|
cannam@167
|
541 E T16, T18, T15, T17;
|
cannam@167
|
542 T16 = cr[WS(rs, 15)];
|
cannam@167
|
543 T18 = ci[WS(rs, 15)];
|
cannam@167
|
544 T15 = W[28];
|
cannam@167
|
545 T17 = W[29];
|
cannam@167
|
546 T19 = FMA(T15, T16, T17 * T18);
|
cannam@167
|
547 T1V = FNMS(T17, T16, T15 * T18);
|
cannam@167
|
548 }
|
cannam@167
|
549 {
|
cannam@167
|
550 E T1m, T1o, T1l, T1n;
|
cannam@167
|
551 T1m = cr[WS(rs, 11)];
|
cannam@167
|
552 T1o = ci[WS(rs, 11)];
|
cannam@167
|
553 T1l = W[20];
|
cannam@167
|
554 T1n = W[21];
|
cannam@167
|
555 T1p = FMA(T1l, T1m, T1n * T1o);
|
cannam@167
|
556 T22 = FNMS(T1n, T1m, T1l * T1o);
|
cannam@167
|
557 }
|
cannam@167
|
558 {
|
cannam@167
|
559 E T1b, T1d, T1a, T1c;
|
cannam@167
|
560 T1b = cr[WS(rs, 7)];
|
cannam@167
|
561 T1d = ci[WS(rs, 7)];
|
cannam@167
|
562 T1a = W[12];
|
cannam@167
|
563 T1c = W[13];
|
cannam@167
|
564 T1e = FMA(T1a, T1b, T1c * T1d);
|
cannam@167
|
565 T1W = FNMS(T1c, T1b, T1a * T1d);
|
cannam@167
|
566 }
|
cannam@167
|
567 {
|
cannam@167
|
568 E T1h, T1j, T1g, T1i;
|
cannam@167
|
569 T1h = cr[WS(rs, 3)];
|
cannam@167
|
570 T1j = ci[WS(rs, 3)];
|
cannam@167
|
571 T1g = W[4];
|
cannam@167
|
572 T1i = W[5];
|
cannam@167
|
573 T1k = FMA(T1g, T1h, T1i * T1j);
|
cannam@167
|
574 T21 = FNMS(T1i, T1h, T1g * T1j);
|
cannam@167
|
575 }
|
cannam@167
|
576 T1f = T19 + T1e;
|
cannam@167
|
577 T1q = T1k + T1p;
|
cannam@167
|
578 T2B = T1f - T1q;
|
cannam@167
|
579 T2C = T1V + T1W;
|
cannam@167
|
580 T2D = T21 + T22;
|
cannam@167
|
581 T2E = T2C - T2D;
|
cannam@167
|
582 {
|
cannam@167
|
583 E T1X, T1Y, T20, T23;
|
cannam@167
|
584 T1X = T1V - T1W;
|
cannam@167
|
585 T1Y = T1k - T1p;
|
cannam@167
|
586 T1Z = T1X + T1Y;
|
cannam@167
|
587 T2k = T1X - T1Y;
|
cannam@167
|
588 T20 = T19 - T1e;
|
cannam@167
|
589 T23 = T21 - T22;
|
cannam@167
|
590 T24 = T20 - T23;
|
cannam@167
|
591 T2j = T20 + T23;
|
cannam@167
|
592 }
|
cannam@167
|
593 }
|
cannam@167
|
594 {
|
cannam@167
|
595 E TM, T1P, T12, T1M, TR, T1Q, TX, T1L;
|
cannam@167
|
596 {
|
cannam@167
|
597 E TJ, TL, TI, TK;
|
cannam@167
|
598 TJ = cr[WS(rs, 1)];
|
cannam@167
|
599 TL = ci[WS(rs, 1)];
|
cannam@167
|
600 TI = W[0];
|
cannam@167
|
601 TK = W[1];
|
cannam@167
|
602 TM = FMA(TI, TJ, TK * TL);
|
cannam@167
|
603 T1P = FNMS(TK, TJ, TI * TL);
|
cannam@167
|
604 }
|
cannam@167
|
605 {
|
cannam@167
|
606 E TZ, T11, TY, T10;
|
cannam@167
|
607 TZ = cr[WS(rs, 13)];
|
cannam@167
|
608 T11 = ci[WS(rs, 13)];
|
cannam@167
|
609 TY = W[24];
|
cannam@167
|
610 T10 = W[25];
|
cannam@167
|
611 T12 = FMA(TY, TZ, T10 * T11);
|
cannam@167
|
612 T1M = FNMS(T10, TZ, TY * T11);
|
cannam@167
|
613 }
|
cannam@167
|
614 {
|
cannam@167
|
615 E TO, TQ, TN, TP;
|
cannam@167
|
616 TO = cr[WS(rs, 9)];
|
cannam@167
|
617 TQ = ci[WS(rs, 9)];
|
cannam@167
|
618 TN = W[16];
|
cannam@167
|
619 TP = W[17];
|
cannam@167
|
620 TR = FMA(TN, TO, TP * TQ);
|
cannam@167
|
621 T1Q = FNMS(TP, TO, TN * TQ);
|
cannam@167
|
622 }
|
cannam@167
|
623 {
|
cannam@167
|
624 E TU, TW, TT, TV;
|
cannam@167
|
625 TU = cr[WS(rs, 5)];
|
cannam@167
|
626 TW = ci[WS(rs, 5)];
|
cannam@167
|
627 TT = W[8];
|
cannam@167
|
628 TV = W[9];
|
cannam@167
|
629 TX = FMA(TT, TU, TV * TW);
|
cannam@167
|
630 T1L = FNMS(TV, TU, TT * TW);
|
cannam@167
|
631 }
|
cannam@167
|
632 TS = TM + TR;
|
cannam@167
|
633 T13 = TX + T12;
|
cannam@167
|
634 T2w = TS - T13;
|
cannam@167
|
635 T2x = T1P + T1Q;
|
cannam@167
|
636 T2y = T1L + T1M;
|
cannam@167
|
637 T2z = T2x - T2y;
|
cannam@167
|
638 {
|
cannam@167
|
639 E T1K, T1N, T1R, T1S;
|
cannam@167
|
640 T1K = TM - TR;
|
cannam@167
|
641 T1N = T1L - T1M;
|
cannam@167
|
642 T1O = T1K - T1N;
|
cannam@167
|
643 T2h = T1K + T1N;
|
cannam@167
|
644 T1R = T1P - T1Q;
|
cannam@167
|
645 T1S = TX - T12;
|
cannam@167
|
646 T1T = T1R + T1S;
|
cannam@167
|
647 T2g = T1R - T1S;
|
cannam@167
|
648 }
|
cannam@167
|
649 }
|
cannam@167
|
650 {
|
cannam@167
|
651 E T1J, T27, T3a, T3c, T26, T3b, T2a, T35;
|
cannam@167
|
652 {
|
cannam@167
|
653 E T1x, T1I, T36, T39;
|
cannam@167
|
654 T1x = T1t - T1w;
|
cannam@167
|
655 T1I = KP707106781 * (T1C + T1H);
|
cannam@167
|
656 T1J = T1x + T1I;
|
cannam@167
|
657 T27 = T1x - T1I;
|
cannam@167
|
658 T36 = KP707106781 * (T2c - T2d);
|
cannam@167
|
659 T39 = T37 + T38;
|
cannam@167
|
660 T3a = T36 + T39;
|
cannam@167
|
661 T3c = T39 - T36;
|
cannam@167
|
662 }
|
cannam@167
|
663 {
|
cannam@167
|
664 E T1U, T25, T28, T29;
|
cannam@167
|
665 T1U = FNMS(KP382683432, T1T, KP923879532 * T1O);
|
cannam@167
|
666 T25 = FMA(KP382683432, T1Z, KP923879532 * T24);
|
cannam@167
|
667 T26 = T1U + T25;
|
cannam@167
|
668 T3b = T25 - T1U;
|
cannam@167
|
669 T28 = FMA(KP923879532, T1T, KP382683432 * T1O);
|
cannam@167
|
670 T29 = FNMS(KP923879532, T1Z, KP382683432 * T24);
|
cannam@167
|
671 T2a = T28 + T29;
|
cannam@167
|
672 T35 = T29 - T28;
|
cannam@167
|
673 }
|
cannam@167
|
674 cr[WS(rs, 7)] = T1J - T26;
|
cannam@167
|
675 cr[WS(rs, 11)] = T3b - T3c;
|
cannam@167
|
676 ci[WS(rs, 12)] = T3b + T3c;
|
cannam@167
|
677 ci[0] = T1J + T26;
|
cannam@167
|
678 ci[WS(rs, 4)] = T27 - T2a;
|
cannam@167
|
679 cr[WS(rs, 15)] = T35 - T3a;
|
cannam@167
|
680 ci[WS(rs, 8)] = T35 + T3a;
|
cannam@167
|
681 cr[WS(rs, 3)] = T27 + T2a;
|
cannam@167
|
682 }
|
cannam@167
|
683 {
|
cannam@167
|
684 E TH, T2L, T2W, T2Y, T1s, T2X, T2O, T2P;
|
cannam@167
|
685 {
|
cannam@167
|
686 E Tj, TG, T2Q, T2V;
|
cannam@167
|
687 Tj = T7 + Ti;
|
cannam@167
|
688 TG = Tu + TF;
|
cannam@167
|
689 TH = Tj + TG;
|
cannam@167
|
690 T2L = Tj - TG;
|
cannam@167
|
691 T2Q = T2t + T2s;
|
cannam@167
|
692 T2V = T2R + T2U;
|
cannam@167
|
693 T2W = T2Q + T2V;
|
cannam@167
|
694 T2Y = T2V - T2Q;
|
cannam@167
|
695 }
|
cannam@167
|
696 {
|
cannam@167
|
697 E T14, T1r, T2M, T2N;
|
cannam@167
|
698 T14 = TS + T13;
|
cannam@167
|
699 T1r = T1f + T1q;
|
cannam@167
|
700 T1s = T14 + T1r;
|
cannam@167
|
701 T2X = T1r - T14;
|
cannam@167
|
702 T2M = T2C + T2D;
|
cannam@167
|
703 T2N = T2x + T2y;
|
cannam@167
|
704 T2O = T2M - T2N;
|
cannam@167
|
705 T2P = T2N + T2M;
|
cannam@167
|
706 }
|
cannam@167
|
707 ci[WS(rs, 7)] = TH - T1s;
|
cannam@167
|
708 cr[WS(rs, 12)] = T2X - T2Y;
|
cannam@167
|
709 ci[WS(rs, 11)] = T2X + T2Y;
|
cannam@167
|
710 cr[0] = TH + T1s;
|
cannam@167
|
711 cr[WS(rs, 4)] = T2L - T2O;
|
cannam@167
|
712 cr[WS(rs, 8)] = T2P - T2W;
|
cannam@167
|
713 ci[WS(rs, 15)] = T2P + T2W;
|
cannam@167
|
714 ci[WS(rs, 3)] = T2L + T2O;
|
cannam@167
|
715 }
|
cannam@167
|
716 {
|
cannam@167
|
717 E T2f, T2n, T3g, T3i, T2m, T3h, T2q, T3d;
|
cannam@167
|
718 {
|
cannam@167
|
719 E T2b, T2e, T3e, T3f;
|
cannam@167
|
720 T2b = T1t + T1w;
|
cannam@167
|
721 T2e = KP707106781 * (T2c + T2d);
|
cannam@167
|
722 T2f = T2b + T2e;
|
cannam@167
|
723 T2n = T2b - T2e;
|
cannam@167
|
724 T3e = KP707106781 * (T1H - T1C);
|
cannam@167
|
725 T3f = T38 - T37;
|
cannam@167
|
726 T3g = T3e + T3f;
|
cannam@167
|
727 T3i = T3f - T3e;
|
cannam@167
|
728 }
|
cannam@167
|
729 {
|
cannam@167
|
730 E T2i, T2l, T2o, T2p;
|
cannam@167
|
731 T2i = FMA(KP382683432, T2g, KP923879532 * T2h);
|
cannam@167
|
732 T2l = FNMS(KP382683432, T2k, KP923879532 * T2j);
|
cannam@167
|
733 T2m = T2i + T2l;
|
cannam@167
|
734 T3h = T2l - T2i;
|
cannam@167
|
735 T2o = FNMS(KP923879532, T2g, KP382683432 * T2h);
|
cannam@167
|
736 T2p = FMA(KP923879532, T2k, KP382683432 * T2j);
|
cannam@167
|
737 T2q = T2o + T2p;
|
cannam@167
|
738 T3d = T2p - T2o;
|
cannam@167
|
739 }
|
cannam@167
|
740 ci[WS(rs, 6)] = T2f - T2m;
|
cannam@167
|
741 cr[WS(rs, 13)] = T3h - T3i;
|
cannam@167
|
742 ci[WS(rs, 10)] = T3h + T3i;
|
cannam@167
|
743 cr[WS(rs, 1)] = T2f + T2m;
|
cannam@167
|
744 cr[WS(rs, 5)] = T2n - T2q;
|
cannam@167
|
745 cr[WS(rs, 9)] = T3d - T3g;
|
cannam@167
|
746 ci[WS(rs, 14)] = T3d + T3g;
|
cannam@167
|
747 ci[WS(rs, 2)] = T2n + T2q;
|
cannam@167
|
748 }
|
cannam@167
|
749 {
|
cannam@167
|
750 E T2v, T2H, T32, T34, T2G, T2Z, T2K, T33;
|
cannam@167
|
751 {
|
cannam@167
|
752 E T2r, T2u, T30, T31;
|
cannam@167
|
753 T2r = T7 - Ti;
|
cannam@167
|
754 T2u = T2s - T2t;
|
cannam@167
|
755 T2v = T2r - T2u;
|
cannam@167
|
756 T2H = T2r + T2u;
|
cannam@167
|
757 T30 = Tu - TF;
|
cannam@167
|
758 T31 = T2U - T2R;
|
cannam@167
|
759 T32 = T30 + T31;
|
cannam@167
|
760 T34 = T31 - T30;
|
cannam@167
|
761 }
|
cannam@167
|
762 {
|
cannam@167
|
763 E T2A, T2F, T2I, T2J;
|
cannam@167
|
764 T2A = T2w + T2z;
|
cannam@167
|
765 T2F = T2B - T2E;
|
cannam@167
|
766 T2G = KP707106781 * (T2A + T2F);
|
cannam@167
|
767 T2Z = KP707106781 * (T2F - T2A);
|
cannam@167
|
768 T2I = T2w - T2z;
|
cannam@167
|
769 T2J = T2B + T2E;
|
cannam@167
|
770 T2K = KP707106781 * (T2I + T2J);
|
cannam@167
|
771 T33 = KP707106781 * (T2J - T2I);
|
cannam@167
|
772 }
|
cannam@167
|
773 ci[WS(rs, 5)] = T2v - T2G;
|
cannam@167
|
774 cr[WS(rs, 10)] = T33 - T34;
|
cannam@167
|
775 ci[WS(rs, 13)] = T33 + T34;
|
cannam@167
|
776 cr[WS(rs, 2)] = T2v + T2G;
|
cannam@167
|
777 cr[WS(rs, 6)] = T2H - T2K;
|
cannam@167
|
778 cr[WS(rs, 14)] = T2Z - T32;
|
cannam@167
|
779 ci[WS(rs, 9)] = T2Z + T32;
|
cannam@167
|
780 ci[WS(rs, 1)] = T2H + T2K;
|
cannam@167
|
781 }
|
cannam@167
|
782 }
|
cannam@167
|
783 }
|
cannam@167
|
784 }
|
cannam@167
|
785
|
cannam@167
|
786 static const tw_instr twinstr[] = {
|
cannam@167
|
787 {TW_FULL, 1, 16},
|
cannam@167
|
788 {TW_NEXT, 1, 0}
|
cannam@167
|
789 };
|
cannam@167
|
790
|
cannam@167
|
791 static const hc2hc_desc desc = { 16, "hf_16", twinstr, &GENUS, {136, 46, 38, 0} };
|
cannam@167
|
792
|
cannam@167
|
793 void X(codelet_hf_16) (planner *p) {
|
cannam@167
|
794 X(khc2hc_register) (p, hf_16, &desc);
|
cannam@167
|
795 }
|
cannam@167
|
796 #endif
|