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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 07:41:36 EST 2012 */
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23
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24 #include "codelet-rdft.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_r2cb.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -n 16 -name r2cbIII_16 -dft-III -include r2cbIII.h */
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29
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30 /*
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31 * This function contains 66 FP additions, 36 FP multiplications,
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32 * (or, 46 additions, 16 multiplications, 20 fused multiply/add),
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33 * 55 stack variables, 9 constants, and 32 memory accesses
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34 */
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35 #include "r2cbIII.h"
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36
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37 static void r2cbIII_16(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
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38 {
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39 DK(KP668178637, +0.668178637919298919997757686523080761552472251);
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40 DK(KP1_662939224, +1.662939224605090474157576755235811513477121624);
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41 DK(KP198912367, +0.198912367379658006911597622644676228597850501);
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42 DK(KP1_961570560, +1.961570560806460898252364472268478073947867462);
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43 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
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44 DK(KP1_414213562, +1.414213562373095048801688724209698078569671875);
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45 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
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46 DK(KP1_847759065, +1.847759065022573512256366378793576573644833252);
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47 DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
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48 {
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49 INT i;
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50 for (i = v; i > 0; i = i - 1, R0 = R0 + ovs, R1 = R1 + ovs, Cr = Cr + ivs, Ci = Ci + ivs, MAKE_VOLATILE_STRIDE(64, rs), MAKE_VOLATILE_STRIDE(64, csr), MAKE_VOLATILE_STRIDE(64, csi)) {
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51 E TA, TD, Tv, TG, TE, TF;
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52 {
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53 E TK, TP, T7, T13, TW, TH, Tj, TC, To, Te, TX, TS, T12, Tt, TB;
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54 {
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55 E T4, Tf, T3, TU, Tz, T5, Tg, Th;
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56 {
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57 E T1, T2, Tx, Ty;
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58 T1 = Cr[0];
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59 T2 = Cr[WS(csr, 7)];
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60 Tx = Ci[0];
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61 Ty = Ci[WS(csi, 7)];
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62 T4 = Cr[WS(csr, 4)];
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63 Tf = T1 - T2;
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64 T3 = T1 + T2;
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65 TU = Ty - Tx;
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66 Tz = Tx + Ty;
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67 T5 = Cr[WS(csr, 3)];
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68 Tg = Ci[WS(csi, 4)];
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69 Th = Ci[WS(csi, 3)];
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70 }
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71 {
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72 E Tb, Tk, Ta, TR, Tn, Tc, Tq, Tr;
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73 {
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74 E T8, T9, Tl, Tm;
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75 T8 = Cr[WS(csr, 2)];
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76 {
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77 E Tw, T6, TV, Ti;
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78 Tw = T4 - T5;
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79 T6 = T4 + T5;
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80 TV = Th - Tg;
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81 Ti = Tg + Th;
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82 TK = Tw - Tz;
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83 TA = Tw + Tz;
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84 TP = T3 - T6;
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85 T7 = T3 + T6;
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86 T13 = TV + TU;
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87 TW = TU - TV;
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88 TH = Tf + Ti;
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89 Tj = Tf - Ti;
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90 T9 = Cr[WS(csr, 5)];
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91 }
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92 Tl = Ci[WS(csi, 2)];
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93 Tm = Ci[WS(csi, 5)];
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94 Tb = Cr[WS(csr, 1)];
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95 Tk = T8 - T9;
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96 Ta = T8 + T9;
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97 TR = Tl - Tm;
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98 Tn = Tl + Tm;
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99 Tc = Cr[WS(csr, 6)];
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100 Tq = Ci[WS(csi, 1)];
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101 Tr = Ci[WS(csi, 6)];
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102 }
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103 TC = Tk + Tn;
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104 To = Tk - Tn;
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105 {
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106 E Tp, Td, TQ, Ts;
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107 Tp = Tb - Tc;
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108 Td = Tb + Tc;
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109 TQ = Tr - Tq;
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110 Ts = Tq + Tr;
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111 Te = Ta + Td;
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112 TX = Ta - Td;
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113 TS = TQ - TR;
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114 T12 = TR + TQ;
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115 Tt = Tp - Ts;
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116 TB = Tp + Ts;
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117 }
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118 }
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119 }
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120 {
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121 E T10, TT, TY, TZ;
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122 R0[0] = KP2_000000000 * (T7 + Te);
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123 R0[WS(rs, 4)] = KP2_000000000 * (T13 - T12);
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124 T10 = TP - TS;
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125 TT = TP + TS;
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126 TY = TW - TX;
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127 TZ = TX + TW;
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128 {
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129 E T11, T14, TI, TL, Tu;
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130 T11 = T7 - Te;
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131 T14 = T12 + T13;
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132 R0[WS(rs, 5)] = KP1_847759065 * (FNMS(KP414213562, TT, TY));
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133 R0[WS(rs, 1)] = KP1_847759065 * (FMA(KP414213562, TY, TT));
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134 R0[WS(rs, 6)] = KP1_414213562 * (T14 - T11);
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135 R0[WS(rs, 2)] = KP1_414213562 * (T11 + T14);
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136 TD = TB - TC;
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137 TI = TC + TB;
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138 TL = To - Tt;
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139 Tu = To + Tt;
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140 {
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141 E TO, TJ, TN, TM;
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142 R0[WS(rs, 7)] = -(KP1_847759065 * (FNMS(KP414213562, TZ, T10)));
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143 R0[WS(rs, 3)] = KP1_847759065 * (FMA(KP414213562, T10, TZ));
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144 TO = FMA(KP707106781, TI, TH);
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145 TJ = FNMS(KP707106781, TI, TH);
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146 TN = FMA(KP707106781, TL, TK);
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147 TM = FNMS(KP707106781, TL, TK);
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148 Tv = FMA(KP707106781, Tu, Tj);
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149 TG = FNMS(KP707106781, Tu, Tj);
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150 R1[WS(rs, 3)] = KP1_961570560 * (FMA(KP198912367, TO, TN));
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151 R1[WS(rs, 7)] = -(KP1_961570560 * (FNMS(KP198912367, TN, TO)));
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152 R1[WS(rs, 5)] = KP1_662939224 * (FNMS(KP668178637, TJ, TM));
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153 R1[WS(rs, 1)] = KP1_662939224 * (FMA(KP668178637, TM, TJ));
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154 }
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155 }
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156 }
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157 }
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158 TE = FNMS(KP707106781, TD, TA);
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159 TF = FMA(KP707106781, TD, TA);
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160 R1[WS(rs, 2)] = -(KP1_662939224 * (FNMS(KP668178637, TG, TF)));
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161 R1[WS(rs, 6)] = -(KP1_662939224 * (FMA(KP668178637, TF, TG)));
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162 R1[WS(rs, 4)] = -(KP1_961570560 * (FMA(KP198912367, Tv, TE)));
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163 R1[0] = KP1_961570560 * (FNMS(KP198912367, TE, Tv));
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164 }
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165 }
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166 }
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167
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168 static const kr2c_desc desc = { 16, "r2cbIII_16", {46, 16, 20, 0}, &GENUS };
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169
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170 void X(codelet_r2cbIII_16) (planner *p) {
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171 X(kr2c_register) (p, r2cbIII_16, &desc);
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172 }
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173
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174 #else /* HAVE_FMA */
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175
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176 /* Generated by: ../../../genfft/gen_r2cb.native -compact -variables 4 -pipeline-latency 4 -sign 1 -n 16 -name r2cbIII_16 -dft-III -include r2cbIII.h */
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177
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178 /*
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179 * This function contains 66 FP additions, 32 FP multiplications,
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180 * (or, 54 additions, 20 multiplications, 12 fused multiply/add),
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181 * 40 stack variables, 9 constants, and 32 memory accesses
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182 */
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183 #include "r2cbIII.h"
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184
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185 static void r2cbIII_16(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
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186 {
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187 DK(KP1_961570560, +1.961570560806460898252364472268478073947867462);
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188 DK(KP390180644, +0.390180644032256535696569736954044481855383236);
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189 DK(KP1_111140466, +1.111140466039204449485661627897065748749874382);
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190 DK(KP1_662939224, +1.662939224605090474157576755235811513477121624);
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191 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
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192 DK(KP1_414213562, +1.414213562373095048801688724209698078569671875);
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193 DK(KP765366864, +0.765366864730179543456919968060797733522689125);
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194 DK(KP1_847759065, +1.847759065022573512256366378793576573644833252);
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195 DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
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196 {
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197 INT i;
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198 for (i = v; i > 0; i = i - 1, R0 = R0 + ovs, R1 = R1 + ovs, Cr = Cr + ivs, Ci = Ci + ivs, MAKE_VOLATILE_STRIDE(64, rs), MAKE_VOLATILE_STRIDE(64, csr), MAKE_VOLATILE_STRIDE(64, csi)) {
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199 E T7, TW, T13, Tj, TD, TK, TP, TH, Te, TX, T12, To, Tt, Tx, TS;
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200 E Tw, TT, TY;
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201 {
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202 E T3, Tf, TC, TV, T6, Tz, Ti, TU;
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203 {
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204 E T1, T2, TA, TB;
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205 T1 = Cr[0];
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206 T2 = Cr[WS(csr, 7)];
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207 T3 = T1 + T2;
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208 Tf = T1 - T2;
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209 TA = Ci[0];
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210 TB = Ci[WS(csi, 7)];
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211 TC = TA + TB;
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212 TV = TB - TA;
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213 }
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214 {
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215 E T4, T5, Tg, Th;
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216 T4 = Cr[WS(csr, 4)];
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217 T5 = Cr[WS(csr, 3)];
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218 T6 = T4 + T5;
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219 Tz = T4 - T5;
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220 Tg = Ci[WS(csi, 4)];
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221 Th = Ci[WS(csi, 3)];
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222 Ti = Tg + Th;
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223 TU = Tg - Th;
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224 }
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225 T7 = T3 + T6;
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226 TW = TU + TV;
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227 T13 = TV - TU;
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228 Tj = Tf - Ti;
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229 TD = Tz + TC;
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230 TK = Tz - TC;
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231 TP = T3 - T6;
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232 TH = Tf + Ti;
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233 }
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234 {
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235 E Ta, Tk, Tn, TR, Td, Tp, Ts, TQ;
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236 {
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237 E T8, T9, Tl, Tm;
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238 T8 = Cr[WS(csr, 2)];
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239 T9 = Cr[WS(csr, 5)];
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240 Ta = T8 + T9;
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241 Tk = T8 - T9;
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242 Tl = Ci[WS(csi, 2)];
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243 Tm = Ci[WS(csi, 5)];
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244 Tn = Tl + Tm;
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245 TR = Tl - Tm;
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246 }
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247 {
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248 E Tb, Tc, Tq, Tr;
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249 Tb = Cr[WS(csr, 1)];
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250 Tc = Cr[WS(csr, 6)];
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251 Td = Tb + Tc;
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252 Tp = Tb - Tc;
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253 Tq = Ci[WS(csi, 1)];
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254 Tr = Ci[WS(csi, 6)];
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255 Ts = Tq + Tr;
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256 TQ = Tr - Tq;
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257 }
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258 Te = Ta + Td;
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259 TX = Ta - Td;
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260 T12 = TR + TQ;
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261 To = Tk - Tn;
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262 Tt = Tp - Ts;
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263 Tx = Tp + Ts;
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264 TS = TQ - TR;
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265 Tw = Tk + Tn;
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266 }
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267 R0[0] = KP2_000000000 * (T7 + Te);
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268 R0[WS(rs, 4)] = KP2_000000000 * (T13 - T12);
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269 TT = TP + TS;
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270 TY = TW - TX;
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271 R0[WS(rs, 1)] = FMA(KP1_847759065, TT, KP765366864 * TY);
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272 R0[WS(rs, 5)] = FNMS(KP765366864, TT, KP1_847759065 * TY);
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273 {
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274 E T11, T14, TZ, T10;
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275 T11 = T7 - Te;
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276 T14 = T12 + T13;
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277 R0[WS(rs, 2)] = KP1_414213562 * (T11 + T14);
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278 R0[WS(rs, 6)] = KP1_414213562 * (T14 - T11);
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279 TZ = TP - TS;
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280 T10 = TX + TW;
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281 R0[WS(rs, 3)] = FMA(KP765366864, TZ, KP1_847759065 * T10);
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282 R0[WS(rs, 7)] = FNMS(KP1_847759065, TZ, KP765366864 * T10);
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283 }
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284 {
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285 E TJ, TN, TM, TO, TI, TL;
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286 TI = KP707106781 * (Tw + Tx);
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287 TJ = TH - TI;
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288 TN = TH + TI;
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289 TL = KP707106781 * (To - Tt);
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290 TM = TK - TL;
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291 TO = TL + TK;
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292 R1[WS(rs, 1)] = FMA(KP1_662939224, TJ, KP1_111140466 * TM);
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293 R1[WS(rs, 7)] = FNMS(KP1_961570560, TN, KP390180644 * TO);
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294 R1[WS(rs, 5)] = FNMS(KP1_111140466, TJ, KP1_662939224 * TM);
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295 R1[WS(rs, 3)] = FMA(KP390180644, TN, KP1_961570560 * TO);
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296 }
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297 {
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298 E Tv, TF, TE, TG, Tu, Ty;
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299 Tu = KP707106781 * (To + Tt);
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300 Tv = Tj + Tu;
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301 TF = Tj - Tu;
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302 Ty = KP707106781 * (Tw - Tx);
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303 TE = Ty + TD;
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304 TG = Ty - TD;
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305 R1[0] = FNMS(KP390180644, TE, KP1_961570560 * Tv);
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306 R1[WS(rs, 6)] = FNMS(KP1_662939224, TF, KP1_111140466 * TG);
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307 R1[WS(rs, 4)] = -(FMA(KP390180644, Tv, KP1_961570560 * TE));
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308 R1[WS(rs, 2)] = FMA(KP1_111140466, TF, KP1_662939224 * TG);
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309 }
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310 }
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311 }
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312 }
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313
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314 static const kr2c_desc desc = { 16, "r2cbIII_16", {54, 20, 12, 0}, &GENUS };
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315
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316 void X(codelet_r2cbIII_16) (planner *p) {
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317 X(kr2c_register) (p, r2cbIII_16, &desc);
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318 }
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319
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320 #endif /* HAVE_FMA */
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