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1 /*
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2 * Copyright (c) 2003, 2007-11 Matteo Frigo
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3 * Copyright (c) 2003, 2007-11 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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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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8 * (at your option) any later version.
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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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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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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 Sun Nov 25 07:35:42 EST 2012 */
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23
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24 #include "codelet-dft.h"
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25
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26 #ifdef HAVE_FMA
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27
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28 /* Generated by: ../../../genfft/gen_notw.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 9 -name n1_9 -include n.h */
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29
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30 /*
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31 * This function contains 80 FP additions, 56 FP multiplications,
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32 * (or, 24 additions, 0 multiplications, 56 fused multiply/add),
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33 * 59 stack variables, 10 constants, and 36 memory accesses
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34 */
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35 #include "n.h"
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36
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37 static void n1_9(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
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38 {
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39 DK(KP954188894, +0.954188894138671133499268364187245676532219158);
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40 DK(KP363970234, +0.363970234266202361351047882776834043890471784);
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41 DK(KP852868531, +0.852868531952443209628250963940074071936020296);
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42 DK(KP984807753, +0.984807753012208059366743024589523013670643252);
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43 DK(KP492403876, +0.492403876506104029683371512294761506835321626);
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44 DK(KP777861913, +0.777861913430206160028177977318626690410586096);
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45 DK(KP839099631, +0.839099631177280011763127298123181364687434283);
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46 DK(KP176326980, +0.176326980708464973471090386868618986121633062);
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47 DK(KP866025403, +0.866025403784438646763723170752936183471402627);
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48 DK(KP500000000, +0.500000000000000000000000000000000000000000000);
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49 {
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50 INT i;
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51 for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(36, is), MAKE_VOLATILE_STRIDE(36, os)) {
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52 E T17, TV, T14, TY, T11, T15;
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53 {
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54 E Tm, TM, TL, T5, Tl, T1f, Tb, Tt, Ta, T1c, TI, TX, TF, TW, Tc;
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55 E Td, Tp, Tq;
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56 {
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57 E T1, Th, Ti, Tj, T4, T2, T3;
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58 T1 = ri[0];
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59 T2 = ri[WS(is, 3)];
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60 T3 = ri[WS(is, 6)];
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61 Th = ii[0];
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62 Ti = ii[WS(is, 3)];
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63 Tj = ii[WS(is, 6)];
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64 T4 = T2 + T3;
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65 Tm = T3 - T2;
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66 {
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67 E T6, Tz, T7, T8, TA, TB, Tk;
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68 T6 = ri[WS(is, 1)];
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69 TM = Ti - Tj;
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70 Tk = Ti + Tj;
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71 TL = FNMS(KP500000000, T4, T1);
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72 T5 = T1 + T4;
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73 Tz = ii[WS(is, 1)];
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74 Tl = FNMS(KP500000000, Tk, Th);
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75 T1f = Th + Tk;
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76 T7 = ri[WS(is, 4)];
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77 T8 = ri[WS(is, 7)];
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78 TA = ii[WS(is, 4)];
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79 TB = ii[WS(is, 7)];
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80 {
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81 E TE, T9, TH, TC, TG, TD;
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82 Tb = ri[WS(is, 2)];
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83 TE = T7 - T8;
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84 T9 = T7 + T8;
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85 TH = TB - TA;
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86 TC = TA + TB;
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87 Tt = ii[WS(is, 2)];
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88 Ta = T6 + T9;
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89 TG = FNMS(KP500000000, T9, T6);
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90 T1c = Tz + TC;
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91 TD = FNMS(KP500000000, TC, Tz);
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92 TI = FNMS(KP866025403, TH, TG);
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93 TX = FMA(KP866025403, TH, TG);
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94 TF = FNMS(KP866025403, TE, TD);
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95 TW = FMA(KP866025403, TE, TD);
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96 Tc = ri[WS(is, 5)];
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97 Td = ri[WS(is, 8)];
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98 Tp = ii[WS(is, 5)];
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99 Tq = ii[WS(is, 8)];
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100 }
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101 }
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102 }
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103 {
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104 E Tn, TN, TZ, T10, TO, Ty, TJ, TP;
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105 {
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106 E Tw, Te, Tu, Tr;
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107 T17 = FNMS(KP866025403, Tm, Tl);
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108 Tn = FMA(KP866025403, Tm, Tl);
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109 Tw = Td - Tc;
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110 Te = Tc + Td;
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111 Tu = Tp + Tq;
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112 Tr = Tp - Tq;
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113 TN = FMA(KP866025403, TM, TL);
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114 TV = FNMS(KP866025403, TM, TL);
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115 {
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116 E Tf, To, T1d, Tv;
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117 Tf = Tb + Te;
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118 To = FNMS(KP500000000, Te, Tb);
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119 T1d = Tt + Tu;
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120 Tv = FNMS(KP500000000, Tu, Tt);
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121 {
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122 E Ts, Tg, T1i, Tx;
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123 Ts = FMA(KP866025403, Tr, To);
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124 TZ = FNMS(KP866025403, Tr, To);
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125 Tg = Ta + Tf;
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126 T1i = Tf - Ta;
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127 Tx = FMA(KP866025403, Tw, Tv);
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128 T10 = FNMS(KP866025403, Tw, Tv);
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129 {
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130 E T1e, T1g, T1b, T1h;
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131 T1e = T1c - T1d;
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132 T1g = T1c + T1d;
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133 ro[0] = T5 + Tg;
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134 T1b = FNMS(KP500000000, Tg, T5);
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135 io[0] = T1f + T1g;
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136 T1h = FNMS(KP500000000, T1g, T1f);
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137 TO = FMA(KP176326980, Ts, Tx);
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138 Ty = FNMS(KP176326980, Tx, Ts);
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139 ro[WS(os, 6)] = FNMS(KP866025403, T1e, T1b);
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140 ro[WS(os, 3)] = FMA(KP866025403, T1e, T1b);
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141 io[WS(os, 6)] = FNMS(KP866025403, T1i, T1h);
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142 io[WS(os, 3)] = FMA(KP866025403, T1i, T1h);
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143 TJ = FNMS(KP839099631, TI, TF);
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144 TP = FMA(KP839099631, TF, TI);
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145 }
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146 }
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147 }
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148 }
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149 {
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150 E TS, TK, TU, TQ, TT, TR;
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151 TS = FMA(KP777861913, TJ, Ty);
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152 TK = FNMS(KP777861913, TJ, Ty);
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153 TU = FNMS(KP777861913, TP, TO);
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154 TQ = FMA(KP777861913, TP, TO);
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155 TT = FMA(KP492403876, TK, Tn);
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156 io[WS(os, 1)] = FNMS(KP984807753, TK, Tn);
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157 TR = FNMS(KP492403876, TQ, TN);
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158 ro[WS(os, 1)] = FMA(KP984807753, TQ, TN);
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159 io[WS(os, 4)] = FMA(KP852868531, TU, TT);
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160 io[WS(os, 7)] = FNMS(KP852868531, TU, TT);
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161 ro[WS(os, 7)] = FNMS(KP852868531, TS, TR);
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162 ro[WS(os, 4)] = FMA(KP852868531, TS, TR);
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163 T14 = FNMS(KP176326980, TW, TX);
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164 TY = FMA(KP176326980, TX, TW);
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165 T11 = FNMS(KP363970234, T10, TZ);
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166 T15 = FMA(KP363970234, TZ, T10);
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167 }
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168 }
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169 }
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170 {
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171 E T12, T1a, T16, T18, T13, T19;
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172 T12 = FNMS(KP954188894, T11, TY);
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173 T1a = FMA(KP954188894, T11, TY);
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174 T16 = FNMS(KP954188894, T15, T14);
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175 T18 = FMA(KP954188894, T15, T14);
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176 T13 = FNMS(KP492403876, T12, TV);
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177 ro[WS(os, 2)] = FMA(KP984807753, T12, TV);
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178 T19 = FMA(KP492403876, T18, T17);
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179 io[WS(os, 2)] = FNMS(KP984807753, T18, T17);
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180 ro[WS(os, 8)] = FMA(KP852868531, T16, T13);
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181 ro[WS(os, 5)] = FNMS(KP852868531, T16, T13);
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182 io[WS(os, 8)] = FMA(KP852868531, T1a, T19);
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183 io[WS(os, 5)] = FNMS(KP852868531, T1a, T19);
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184 }
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185 }
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186 }
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187 }
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188
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189 static const kdft_desc desc = { 9, "n1_9", {24, 0, 56, 0}, &GENUS, 0, 0, 0, 0 };
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190
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191 void X(codelet_n1_9) (planner *p) {
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192 X(kdft_register) (p, n1_9, &desc);
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193 }
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194
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195 #else /* HAVE_FMA */
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196
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197 /* Generated by: ../../../genfft/gen_notw.native -compact -variables 4 -pipeline-latency 4 -n 9 -name n1_9 -include n.h */
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198
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199 /*
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200 * This function contains 80 FP additions, 40 FP multiplications,
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201 * (or, 60 additions, 20 multiplications, 20 fused multiply/add),
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202 * 39 stack variables, 8 constants, and 36 memory accesses
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203 */
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204 #include "n.h"
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205
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206 static void n1_9(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
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207 {
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208 DK(KP939692620, +0.939692620785908384054109277324731469936208134);
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209 DK(KP342020143, +0.342020143325668733044099614682259580763083368);
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210 DK(KP984807753, +0.984807753012208059366743024589523013670643252);
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211 DK(KP173648177, +0.173648177666930348851716626769314796000375677);
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212 DK(KP642787609, +0.642787609686539326322643409907263432907559884);
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213 DK(KP766044443, +0.766044443118978035202392650555416673935832457);
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214 DK(KP500000000, +0.500000000000000000000000000000000000000000000);
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215 DK(KP866025403, +0.866025403784438646763723170752936183471402627);
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216 {
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217 INT i;
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218 for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(36, is), MAKE_VOLATILE_STRIDE(36, os)) {
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219 E T5, TO, Th, Tk, T1g, TR, Ta, T1c, Tq, TW, Tv, TX, Tf, T1d, TB;
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220 E T10, TG, TZ;
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221 {
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222 E T1, T2, T3, T4;
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223 T1 = ri[0];
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224 T2 = ri[WS(is, 3)];
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225 T3 = ri[WS(is, 6)];
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226 T4 = T2 + T3;
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227 T5 = T1 + T4;
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228 TO = KP866025403 * (T3 - T2);
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229 Th = FNMS(KP500000000, T4, T1);
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230 }
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231 {
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232 E TP, Ti, Tj, TQ;
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233 TP = ii[0];
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234 Ti = ii[WS(is, 3)];
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235 Tj = ii[WS(is, 6)];
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236 TQ = Ti + Tj;
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237 Tk = KP866025403 * (Ti - Tj);
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238 T1g = TP + TQ;
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239 TR = FNMS(KP500000000, TQ, TP);
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240 }
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241 {
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242 E T6, Ts, T9, Tr, Tp, Tt, Tm, Tu;
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243 T6 = ri[WS(is, 1)];
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244 Ts = ii[WS(is, 1)];
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245 {
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246 E T7, T8, Tn, To;
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247 T7 = ri[WS(is, 4)];
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248 T8 = ri[WS(is, 7)];
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249 T9 = T7 + T8;
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250 Tr = KP866025403 * (T8 - T7);
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251 Tn = ii[WS(is, 4)];
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252 To = ii[WS(is, 7)];
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253 Tp = KP866025403 * (Tn - To);
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254 Tt = Tn + To;
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255 }
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256 Ta = T6 + T9;
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257 T1c = Ts + Tt;
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258 Tm = FNMS(KP500000000, T9, T6);
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259 Tq = Tm + Tp;
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260 TW = Tm - Tp;
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261 Tu = FNMS(KP500000000, Tt, Ts);
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262 Tv = Tr + Tu;
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263 TX = Tu - Tr;
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264 }
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265 {
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266 E Tb, TD, Te, TC, TA, TE, Tx, TF;
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267 Tb = ri[WS(is, 2)];
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268 TD = ii[WS(is, 2)];
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269 {
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270 E Tc, Td, Ty, Tz;
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271 Tc = ri[WS(is, 5)];
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272 Td = ri[WS(is, 8)];
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273 Te = Tc + Td;
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274 TC = KP866025403 * (Td - Tc);
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275 Ty = ii[WS(is, 5)];
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276 Tz = ii[WS(is, 8)];
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277 TA = KP866025403 * (Ty - Tz);
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278 TE = Ty + Tz;
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279 }
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280 Tf = Tb + Te;
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281 T1d = TD + TE;
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282 Tx = FNMS(KP500000000, Te, Tb);
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283 TB = Tx + TA;
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284 T10 = Tx - TA;
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285 TF = FNMS(KP500000000, TE, TD);
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286 TG = TC + TF;
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287 TZ = TF - TC;
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288 }
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289 {
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290 E T1e, Tg, T1b, T1f, T1h, T1i;
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291 T1e = KP866025403 * (T1c - T1d);
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292 Tg = Ta + Tf;
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293 T1b = FNMS(KP500000000, Tg, T5);
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294 ro[0] = T5 + Tg;
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295 ro[WS(os, 3)] = T1b + T1e;
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296 ro[WS(os, 6)] = T1b - T1e;
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297 T1f = KP866025403 * (Tf - Ta);
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298 T1h = T1c + T1d;
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299 T1i = FNMS(KP500000000, T1h, T1g);
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300 io[WS(os, 3)] = T1f + T1i;
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301 io[0] = T1g + T1h;
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302 io[WS(os, 6)] = T1i - T1f;
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303 }
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304 {
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305 E Tl, TS, TI, TN, TM, TT, TJ, TU;
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306 Tl = Th + Tk;
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307 TS = TO + TR;
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308 {
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309 E Tw, TH, TK, TL;
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310 Tw = FMA(KP766044443, Tq, KP642787609 * Tv);
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311 TH = FMA(KP173648177, TB, KP984807753 * TG);
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312 TI = Tw + TH;
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313 TN = KP866025403 * (TH - Tw);
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314 TK = FNMS(KP642787609, Tq, KP766044443 * Tv);
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315 TL = FNMS(KP984807753, TB, KP173648177 * TG);
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316 TM = KP866025403 * (TK - TL);
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317 TT = TK + TL;
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318 }
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319 ro[WS(os, 1)] = Tl + TI;
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320 io[WS(os, 1)] = TS + TT;
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321 TJ = FNMS(KP500000000, TI, Tl);
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322 ro[WS(os, 7)] = TJ - TM;
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323 ro[WS(os, 4)] = TJ + TM;
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324 TU = FNMS(KP500000000, TT, TS);
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325 io[WS(os, 4)] = TN + TU;
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326 io[WS(os, 7)] = TU - TN;
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327 }
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328 {
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329 E TV, T14, T12, T13, T17, T1a, T18, T19;
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330 TV = Th - Tk;
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331 T14 = TR - TO;
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332 {
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333 E TY, T11, T15, T16;
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334 TY = FMA(KP173648177, TW, KP984807753 * TX);
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335 T11 = FNMS(KP939692620, T10, KP342020143 * TZ);
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336 T12 = TY + T11;
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337 T13 = KP866025403 * (T11 - TY);
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338 T15 = FNMS(KP984807753, TW, KP173648177 * TX);
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339 T16 = FMA(KP342020143, T10, KP939692620 * TZ);
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340 T17 = T15 - T16;
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341 T1a = KP866025403 * (T15 + T16);
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342 }
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343 ro[WS(os, 2)] = TV + T12;
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344 io[WS(os, 2)] = T14 + T17;
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345 T18 = FNMS(KP500000000, T17, T14);
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346 io[WS(os, 5)] = T13 + T18;
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347 io[WS(os, 8)] = T18 - T13;
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348 T19 = FNMS(KP500000000, T12, TV);
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349 ro[WS(os, 8)] = T19 - T1a;
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350 ro[WS(os, 5)] = T19 + T1a;
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351 }
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352 }
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353 }
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354 }
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355
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356 static const kdft_desc desc = { 9, "n1_9", {60, 20, 20, 0}, &GENUS, 0, 0, 0, 0 };
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357
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358 void X(codelet_n1_9) (planner *p) {
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359 X(kdft_register) (p, n1_9, &desc);
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360 }
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361
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362 #endif /* HAVE_FMA */
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