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1 /* Copyright (C) 2007, 2009 Free Software Foundation, Inc.
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2
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3 This file is part of GCC.
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4
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5 GCC is free software; you can redistribute it and/or modify it under
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6 the terms of the GNU General Public License as published by the Free
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7 Software Foundation; either version 3, or (at your option) any later
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8 version.
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9
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10 GCC is distributed in the hope that it will be useful, but WITHOUT ANY
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11 WARRANTY; without even the implied warranty of MERCHANTABILITY or
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12 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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13 for more details.
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14
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15 Under Section 7 of GPL version 3, you are granted additional
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16 permissions described in the GCC Runtime Library Exception, version
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17 3.1, as published by the Free Software Foundation.
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18
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19 You should have received a copy of the GNU General Public License and
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20 a copy of the GCC Runtime Library Exception along with this program;
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21 see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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22 <http://www.gnu.org/licenses/>. */
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23
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24 #include "bid_internal.h"
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25
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26 UINT64 round_const_table[][19] = {
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27 { // RN
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28 0ull, // 0 extra digits
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29 5ull, // 1 extra digits
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30 50ull, // 2 extra digits
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31 500ull, // 3 extra digits
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32 5000ull, // 4 extra digits
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33 50000ull, // 5 extra digits
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34 500000ull, // 6 extra digits
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35 5000000ull, // 7 extra digits
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36 50000000ull, // 8 extra digits
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37 500000000ull, // 9 extra digits
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38 5000000000ull, // 10 extra digits
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39 50000000000ull, // 11 extra digits
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40 500000000000ull, // 12 extra digits
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41 5000000000000ull, // 13 extra digits
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42 50000000000000ull, // 14 extra digits
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43 500000000000000ull, // 15 extra digits
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44 5000000000000000ull, // 16 extra digits
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45 50000000000000000ull, // 17 extra digits
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46 500000000000000000ull // 18 extra digits
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47 }
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48 ,
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49 { // RD
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50 0ull, // 0 extra digits
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51 0ull, // 1 extra digits
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52 0ull, // 2 extra digits
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53 00ull, // 3 extra digits
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54 000ull, // 4 extra digits
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55 0000ull, // 5 extra digits
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56 00000ull, // 6 extra digits
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57 000000ull, // 7 extra digits
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58 0000000ull, // 8 extra digits
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59 00000000ull, // 9 extra digits
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60 000000000ull, // 10 extra digits
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61 0000000000ull, // 11 extra digits
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62 00000000000ull, // 12 extra digits
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63 000000000000ull, // 13 extra digits
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64 0000000000000ull, // 14 extra digits
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65 00000000000000ull, // 15 extra digits
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66 000000000000000ull, // 16 extra digits
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67 0000000000000000ull, // 17 extra digits
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68 00000000000000000ull // 18 extra digits
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69 }
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70 ,
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71 { // round to Inf
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72 0ull, // 0 extra digits
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73 9ull, // 1 extra digits
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74 99ull, // 2 extra digits
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75 999ull, // 3 extra digits
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76 9999ull, // 4 extra digits
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77 99999ull, // 5 extra digits
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78 999999ull, // 6 extra digits
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79 9999999ull, // 7 extra digits
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80 99999999ull, // 8 extra digits
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81 999999999ull, // 9 extra digits
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82 9999999999ull, // 10 extra digits
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83 99999999999ull, // 11 extra digits
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84 999999999999ull, // 12 extra digits
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85 9999999999999ull, // 13 extra digits
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86 99999999999999ull, // 14 extra digits
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87 999999999999999ull, // 15 extra digits
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88 9999999999999999ull, // 16 extra digits
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89 99999999999999999ull, // 17 extra digits
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90 999999999999999999ull // 18 extra digits
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91 }
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92 ,
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93 { // RZ
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94 0ull, // 0 extra digits
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95 0ull, // 1 extra digits
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96 0ull, // 2 extra digits
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97 00ull, // 3 extra digits
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98 000ull, // 4 extra digits
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99 0000ull, // 5 extra digits
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100 00000ull, // 6 extra digits
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101 000000ull, // 7 extra digits
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102 0000000ull, // 8 extra digits
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103 00000000ull, // 9 extra digits
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104 000000000ull, // 10 extra digits
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105 0000000000ull, // 11 extra digits
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106 00000000000ull, // 12 extra digits
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107 000000000000ull, // 13 extra digits
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108 0000000000000ull, // 14 extra digits
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109 00000000000000ull, // 15 extra digits
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110 000000000000000ull, // 16 extra digits
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111 0000000000000000ull, // 17 extra digits
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112 00000000000000000ull // 18 extra digits
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113 }
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114 ,
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115 { // round ties away from 0
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116 0ull, // 0 extra digits
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117 5ull, // 1 extra digits
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118 50ull, // 2 extra digits
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119 500ull, // 3 extra digits
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120 5000ull, // 4 extra digits
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121 50000ull, // 5 extra digits
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122 500000ull, // 6 extra digits
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123 5000000ull, // 7 extra digits
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124 50000000ull, // 8 extra digits
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125 500000000ull, // 9 extra digits
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126 5000000000ull, // 10 extra digits
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127 50000000000ull, // 11 extra digits
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128 500000000000ull, // 12 extra digits
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129 5000000000000ull, // 13 extra digits
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130 50000000000000ull, // 14 extra digits
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131 500000000000000ull, // 15 extra digits
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132 5000000000000000ull, // 16 extra digits
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133 50000000000000000ull, // 17 extra digits
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134 500000000000000000ull // 18 extra digits
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135 }
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136 ,
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137 };
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138
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139 UINT128 round_const_table_128[][36] = {
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140 { //RN
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141 {{0ull, 0ull}
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142 }
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143 , // 0 extra digits
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144 {{5ull, 0ull}
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145 }
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146 , // 1 extra digits
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147 {{50ull, 0ull}
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148 }
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149 , // 2 extra digits
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150 {{500ull, 0ull}
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151 }
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152 , // 3 extra digits
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153 {{5000ull, 0ull}
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154 }
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155 , // 4 extra digits
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156 {{50000ull, 0ull}
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157 }
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158 , // 5 extra digits
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159 {{500000ull, 0ull}
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160 }
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161 , // 6 extra digits
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162 {{5000000ull, 0ull}
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163 }
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164 , // 7 extra digits
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165 {{50000000ull, 0ull}
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166 }
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167 , // 8 extra digits
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168 {{500000000ull, 0ull}
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169 }
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170 , // 9 extra digits
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171 {{5000000000ull, 0ull}
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172 }
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173 , // 10 extra digits
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174 {{50000000000ull, 0ull}
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175 }
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176 , // 11 extra digits
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177 {{500000000000ull, 0ull}
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178 }
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179 , // 12 extra digits
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180 {{5000000000000ull, 0ull}
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181 }
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182 , // 13 extra digits
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183 {{50000000000000ull, 0ull}
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184 }
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185 , // 14 extra digits
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186 {{500000000000000ull, 0ull}
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187 }
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188 , // 15 extra digits
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189 {{5000000000000000ull, 0ull}
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190 }
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191 , // 16 extra digits
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192 {{50000000000000000ull, 0ull}
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193 }
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194 , // 17 extra digits
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195 {{500000000000000000ull, 0ull}
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196 }
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197 , // 18 extra digits
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198 {{5000000000000000000ull, 0ull}
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199 }
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200 , // 19 extra digits
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201 {{0xb5e3af16b1880000ull, 2ull}
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202 }
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203 , //20
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204 {{0x1ae4d6e2ef500000ull, 27ull}
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205 }
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206 , //21
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207 {{0xcf064dd59200000ull, 271ull}
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208 }
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209 , //22
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210 {{0x8163f0a57b400000ull, 2710ull}
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211 }
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212 , //23
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213 {{0xde76676d0800000ull, 27105ull}
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214 }
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215 , //24
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216 {{0x8b0a00a425000000ull, 0x422caull}
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217 }
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218 , //25
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219 {{0x6e64066972000000ull, 0x295be9ull}
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220 }
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221 , //26
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222 {{0x4fe8401e74000000ull, 0x19d971eull}
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223 }
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224 , //27
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225 {{0x1f12813088000000ull, 0x1027e72full}
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226 }
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227 , //28
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228 {{0x36b90be550000000ull, 0xa18f07d7ull}
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229 }
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230 , //29
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231 {{0x233a76f520000000ull, 0x64f964e68ull}
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232 }
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233 , //30
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234 {{0x6048a59340000000ull, 0x3f1bdf1011ull}
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235 }
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236 , //31
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237 {{0xc2d677c080000000ull, 0x27716b6a0adull}
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238 }
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239 , //32
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240 {{0x9c60ad8500000000ull, 0x18a6e32246c9ull}
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241 }
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242 , //33
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243 {{0x1bc6c73200000000ull, 0xf684df56c3e0ull}
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244 }
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245 , //34
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246 {{0x15c3c7f400000000ull, 0x9a130b963a6c1ull}
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247 }
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248 , //35
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249 }
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250 ,
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251 { //RD
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252 {{0ull, 0ull}
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253 }
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254 , // 0 extra digits
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255 {{0ull, 0ull}
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256 }
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257 , // 1 extra digits
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258 {{0ull, 0ull}
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259 }
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260 , // 2 extra digits
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261 {{00ull, 0ull}
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262 }
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263 , // 3 extra digits
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264 {{000ull, 0ull}
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265 }
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266 , // 4 extra digits
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267 {{0000ull, 0ull}
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268 }
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269 , // 5 extra digits
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270 {{00000ull, 0ull}
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271 }
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272 , // 6 extra digits
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273 {{000000ull, 0ull}
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274 }
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275 , // 7 extra digits
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276 {{0000000ull, 0ull}
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277 }
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278 , // 8 extra digits
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279 {{00000000ull, 0ull}
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280 }
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281 , // 9 extra digits
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282 {{000000000ull, 0ull}
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283 }
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284 , // 10 extra digits
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285 {{0000000000ull, 0ull}
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286 }
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287 , // 11 extra digits
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288 {{00000000000ull, 0ull}
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289 }
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290 , // 12 extra digits
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291 {{000000000000ull, 0ull}
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292 }
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293 , // 13 extra digits
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294 {{0000000000000ull, 0ull}
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295 }
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296 , // 14 extra digits
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297 {{00000000000000ull, 0ull}
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298 }
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299 , // 15 extra digits
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300 {{000000000000000ull, 0ull}
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301 }
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302 , // 16 extra digits
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303 {{0000000000000000ull, 0ull}
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304 }
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305 , // 17 extra digits
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306 {{00000000000000000ull, 0ull}
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307 }
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308 , // 18 extra digits
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309 {{000000000000000000ull, 0ull}
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310 }
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311 , // 19 extra digits
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312 {{0ull, 0ull}
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313 }
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314 , //20
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315 {{0ull, 0ull}
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316 }
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317 , //21
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318 {{0ull, 0ull}
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319 }
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320 , //22
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321 {{0ull, 0ull}
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322 }
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323 , //23
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324 {{0ull, 0ull}
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325 }
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326 , //24
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327 {{0ull, 0ull}
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328 }
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329 , //25
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330 {{0ull, 0ull}
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331 }
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332 , //26
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333 {{0ull, 0ull}
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334 }
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335 , //27
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336 {{0ull, 0ull}
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337 }
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338 , //28
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339 {{0ull, 0ull}
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340 }
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341 , //29
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342 {{0ull, 0ull}
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343 }
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344 , //30
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345 {{0ull, 0ull}
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346 }
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347 , //31
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348 {{0ull, 0ull}
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349 }
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350 , //32
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351 {{0ull, 0ull}
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352 }
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353 , //33
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354 {{0ull, 0ull}
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355 }
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356 , //34
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357 {{0ull, 0ull}
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358 }
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359 , //35
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360 }
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361 ,
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362 { //RU
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363 {{0ull, 0ull}
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364 }
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365 , // 0 extra digits
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366 {{9ull, 0ull}
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367 }
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368 , // 1 extra digits
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369 {{99ull, 0ull}
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370 }
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371 , // 2 extra digits
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372 {{999ull, 0ull}
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373 }
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374 , // 3 extra digits
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375 {{9999ull, 0ull}
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376 }
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377 , // 4 extra digits
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378 {{99999ull, 0ull}
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379 }
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380 , // 5 extra digits
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381 {{999999ull, 0ull}
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382 }
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383 , // 6 extra digits
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384 {{9999999ull, 0ull}
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385 }
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386 , // 7 extra digits
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387 {{99999999ull, 0ull}
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388 }
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389 , // 8 extra digits
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390 {{999999999ull, 0ull}
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391 }
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392 , // 9 extra digits
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393 {{9999999999ull, 0ull}
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394 }
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395 , // 10 extra digits
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396 {{99999999999ull, 0ull}
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397 }
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398 , // 11 extra digits
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399 {{999999999999ull, 0ull}
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400 }
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401 , // 12 extra digits
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402 {{9999999999999ull, 0ull}
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403 }
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404 , // 13 extra digits
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405 {{99999999999999ull, 0ull}
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406 }
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407 , // 14 extra digits
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408 {{999999999999999ull, 0ull}
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409 }
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410 , // 15 extra digits
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411 {{9999999999999999ull, 0ull}
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412 }
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413 , // 16 extra digits
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414 {{99999999999999999ull, 0ull}
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415 }
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416 , // 17 extra digits
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417 {{999999999999999999ull, 0ull}
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418 }
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419 , // 18 extra digits
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420 {{9999999999999999999ull, 0ull}
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421 }
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422 , // 19 extra digits
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423 {{0x6BC75E2D630FFFFFull, 0x5ull}
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424 }
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425 , //20
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426 {{0x35C9ADC5DE9FFFFFull, 0x36ull}
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427 }
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428 , //21
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429 {{0x19E0C9BAB23FFFFFull, 0x21eull}
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430 }
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431 , //22
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432 {{0x2C7E14AF67FFFFFull, 0x152dull}
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433 }
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434 , //23
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435 {{0x1BCECCEDA0FFFFFFull, 0xd3c2ull}
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436 }
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437 , //24
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438 {{0x1614014849FFFFFFull, 0x84595ull}
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439 }
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440 , //25
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441 {{0xDCC80CD2E3FFFFFFull, 0x52b7d2ull}
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442 }
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443 , //26
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444 {{0x9FD0803CE7FFFFFFull, 0x33B2E3Cull}
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445 }
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446 , //27
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447 {{0x3E2502610FFFFFFFull, 0x204FCE5Eull}
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448 }
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449 , //28
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450 {{0x6D7217CA9FFFFFFFull, 0x1431E0FAEull}
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451 }
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452 , //29
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453 {{0x4674EDEA3FFFFFFFull, 0xC9F2C9CD0ull}
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454 }
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455 , //30
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456 {{0xC0914B267FFFFFFFull, 0x7E37BE2022ull}
|
|
|
457 }
|
|
|
458 , //31
|
|
|
459 {{0x85ACEF80FFFFFFFFull, 0x4EE2D6D415Bull}
|
|
|
460 }
|
|
|
461 , //32
|
|
|
462 {{0x38c15b09ffffffffull, 0x314dc6448d93ull}
|
|
|
463 }
|
|
|
464 , //33
|
|
|
465 {{0x378d8e63ffffffffull, 0x1ed09bead87c0ull}
|
|
|
466 }
|
|
|
467 , //34
|
|
|
468 {{0x2b878fe7ffffffffull, 0x13426172c74d82ull}
|
|
|
469 }
|
|
|
470 , //35
|
|
|
471 }
|
|
|
472 ,
|
|
|
473 { //RZ
|
|
|
474 {{0ull, 0ull}
|
|
|
475 }
|
|
|
476 , // 0 extra digits
|
|
|
477 {{0ull, 0ull}
|
|
|
478 }
|
|
|
479 , // 1 extra digits
|
|
|
480 {{0ull, 0ull}
|
|
|
481 }
|
|
|
482 , // 2 extra digits
|
|
|
483 {{00ull, 0ull}
|
|
|
484 }
|
|
|
485 , // 3 extra digits
|
|
|
486 {{000ull, 0ull}
|
|
|
487 }
|
|
|
488 , // 4 extra digits
|
|
|
489 {{0000ull, 0ull}
|
|
|
490 }
|
|
|
491 , // 5 extra digits
|
|
|
492 {{00000ull, 0ull}
|
|
|
493 }
|
|
|
494 , // 6 extra digits
|
|
|
495 {{000000ull, 0ull}
|
|
|
496 }
|
|
|
497 , // 7 extra digits
|
|
|
498 {{0000000ull, 0ull}
|
|
|
499 }
|
|
|
500 , // 8 extra digits
|
|
|
501 {{00000000ull, 0ull}
|
|
|
502 }
|
|
|
503 , // 9 extra digits
|
|
|
504 {{000000000ull, 0ull}
|
|
|
505 }
|
|
|
506 , // 10 extra digits
|
|
|
507 {{0000000000ull, 0ull}
|
|
|
508 }
|
|
|
509 , // 11 extra digits
|
|
|
510 {{00000000000ull, 0ull}
|
|
|
511 }
|
|
|
512 , // 12 extra digits
|
|
|
513 {{000000000000ull, 0ull}
|
|
|
514 }
|
|
|
515 , // 13 extra digits
|
|
|
516 {{0000000000000ull, 0ull}
|
|
|
517 }
|
|
|
518 , // 14 extra digits
|
|
|
519 {{00000000000000ull, 0ull}
|
|
|
520 }
|
|
|
521 , // 15 extra digits
|
|
|
522 {{000000000000000ull, 0ull}
|
|
|
523 }
|
|
|
524 , // 16 extra digits
|
|
|
525 {{0000000000000000ull, 0ull}
|
|
|
526 }
|
|
|
527 , // 17 extra digits
|
|
|
528 {{00000000000000000ull, 0ull}
|
|
|
529 }
|
|
|
530 , // 18 extra digits
|
|
|
531 {{000000000000000000ull, 0ull}
|
|
|
532 }
|
|
|
533 , // 19 extra digits
|
|
|
534 {{0ull, 0ull}
|
|
|
535 }
|
|
|
536 , //20
|
|
|
537 {{0ull, 0ull}
|
|
|
538 }
|
|
|
539 , //21
|
|
|
540 {{0ull, 0ull}
|
|
|
541 }
|
|
|
542 , //22
|
|
|
543 {{0ull, 0ull}
|
|
|
544 }
|
|
|
545 , //23
|
|
|
546 {{0ull, 0ull}
|
|
|
547 }
|
|
|
548 , //24
|
|
|
549 {{0ull, 0ull}
|
|
|
550 }
|
|
|
551 , //25
|
|
|
552 {{0ull, 0ull}
|
|
|
553 }
|
|
|
554 , //26
|
|
|
555 {{0ull, 0ull}
|
|
|
556 }
|
|
|
557 , //27
|
|
|
558 {{0ull, 0ull}
|
|
|
559 }
|
|
|
560 , //28
|
|
|
561 {{0ull, 0ull}
|
|
|
562 }
|
|
|
563 , //29
|
|
|
564 {{0ull, 0ull}
|
|
|
565 }
|
|
|
566 , //30
|
|
|
567 {{0ull, 0ull}
|
|
|
568 }
|
|
|
569 , //31
|
|
|
570 {{0ull, 0ull}
|
|
|
571 }
|
|
|
572 , //32
|
|
|
573 {{0ull, 0ull}
|
|
|
574 }
|
|
|
575 , //33
|
|
|
576 {{0ull, 0ull}
|
|
|
577 }
|
|
|
578 , //34
|
|
|
579 {{0ull, 0ull}
|
|
|
580 }
|
|
|
581 , //35
|
|
|
582 }
|
|
|
583 ,
|
|
|
584 { //RN, ties away
|
|
|
585 {{0ull, 0ull}
|
|
|
586 }
|
|
|
587 , // 0 extra digits
|
|
|
588 {{5ull, 0ull}
|
|
|
589 }
|
|
|
590 , // 1 extra digits
|
|
|
591 {{50ull, 0ull}
|
|
|
592 }
|
|
|
593 , // 2 extra digits
|
|
|
594 {{500ull, 0ull}
|
|
|
595 }
|
|
|
596 , // 3 extra digits
|
|
|
597 {{5000ull, 0ull}
|
|
|
598 }
|
|
|
599 , // 4 extra digits
|
|
|
600 {{50000ull, 0ull}
|
|
|
601 }
|
|
|
602 , // 5 extra digits
|
|
|
603 {{500000ull, 0ull}
|
|
|
604 }
|
|
|
605 , // 6 extra digits
|
|
|
606 {{5000000ull, 0ull}
|
|
|
607 }
|
|
|
608 , // 7 extra digits
|
|
|
609 {{50000000ull, 0ull}
|
|
|
610 }
|
|
|
611 , // 8 extra digits
|
|
|
612 {{500000000ull, 0ull}
|
|
|
613 }
|
|
|
614 , // 9 extra digits
|
|
|
615 {{5000000000ull, 0ull}
|
|
|
616 }
|
|
|
617 , // 10 extra digits
|
|
|
618 {{50000000000ull, 0ull}
|
|
|
619 }
|
|
|
620 , // 11 extra digits
|
|
|
621 {{500000000000ull, 0ull}
|
|
|
622 }
|
|
|
623 , // 12 extra digits
|
|
|
624 {{5000000000000ull, 0ull}
|
|
|
625 }
|
|
|
626 , // 13 extra digits
|
|
|
627 {{50000000000000ull, 0ull}
|
|
|
628 }
|
|
|
629 , // 14 extra digits
|
|
|
630 {{500000000000000ull, 0ull}
|
|
|
631 }
|
|
|
632 , // 15 extra digits
|
|
|
633 {{5000000000000000ull, 0ull}
|
|
|
634 }
|
|
|
635 , // 16 extra digits
|
|
|
636 {{50000000000000000ull, 0ull}
|
|
|
637 }
|
|
|
638 , // 17 extra digits
|
|
|
639 {{500000000000000000ull, 0ull}
|
|
|
640 }
|
|
|
641 , // 18 extra digits
|
|
|
642 {{5000000000000000000ull, 0ull}
|
|
|
643 }
|
|
|
644 , // 19 extra digits
|
|
|
645 {{0xb5e3af16b1880000ull, 2ull}
|
|
|
646 }
|
|
|
647 , //20
|
|
|
648 {{0x1ae4d6e2ef500000ull, 27ull}
|
|
|
649 }
|
|
|
650 , //21
|
|
|
651 {{0xcf064dd59200000ull, 271ull}
|
|
|
652 }
|
|
|
653 , //22
|
|
|
654 {{0x8163f0a57b400000ull, 2710ull}
|
|
|
655 }
|
|
|
656 , //23
|
|
|
657 {{0xde76676d0800000ull, 27105ull}
|
|
|
658 }
|
|
|
659 , //24
|
|
|
660 {{0x8b0a00a425000000ull, 0x422caull}
|
|
|
661 }
|
|
|
662 , //25
|
|
|
663 {{0x6e64066972000000ull, 0x295be9ull}
|
|
|
664 }
|
|
|
665 , //26
|
|
|
666 {{0x4fe8401e74000000ull, 0x19d971eull}
|
|
|
667 }
|
|
|
668 , //27
|
|
|
669 {{0x1f12813088000000ull, 0x1027e72full}
|
|
|
670 }
|
|
|
671 , //28
|
|
|
672 {{0x36b90be550000000ull, 0xa18f07d7ull}
|
|
|
673 }
|
|
|
674 , //29
|
|
|
675 {{0x233a76f520000000ull, 0x64f964e68ull}
|
|
|
676 }
|
|
|
677 , //30
|
|
|
678 {{0x6048a59340000000ull, 0x3f1bdf1011ull}
|
|
|
679 }
|
|
|
680 , //31
|
|
|
681 {{0xc2d677c080000000ull, 0x27716b6a0adull}
|
|
|
682 }
|
|
|
683 , //32
|
|
|
684 {{0x9c60ad8500000000ull, 0x18a6e32246c9ull}
|
|
|
685 }
|
|
|
686 , //33
|
|
|
687 {{0x1bc6c73200000000ull, 0xf684df56c3e0ull}
|
|
|
688 }
|
|
|
689 , //34
|
|
|
690 {{0x15c3c7f400000000ull, 0x9a130b963a6c1ull}
|
|
|
691 }
|
|
|
692 , //35
|
|
|
693 }
|
|
|
694 };
|
|
|
695
|
|
|
696
|
|
|
697 UINT128 reciprocals10_128[] = {
|
|
|
698 {{0ull, 0ull}
|
|
|
699 }
|
|
|
700 , // 0 extra digits
|
|
|
701 {{0x3333333333333334ull, 0x3333333333333333ull}
|
|
|
702 }
|
|
|
703 , // 1 extra digit
|
|
|
704 {{0x51eb851eb851eb86ull, 0x051eb851eb851eb8ull}
|
|
|
705 }
|
|
|
706 , // 2 extra digits
|
|
|
707 {{0x3b645a1cac083127ull, 0x0083126e978d4fdfull}
|
|
|
708 }
|
|
|
709 , // 3 extra digits
|
|
|
710 {{0x4af4f0d844d013aaULL, 0x00346dc5d6388659ULL}
|
|
|
711 }
|
|
|
712 , // 10^(-4) * 2^131
|
|
|
713 {{0x08c3f3e0370cdc88ULL, 0x0029f16b11c6d1e1ULL}
|
|
|
714 }
|
|
|
715 , // 10^(-5) * 2^134
|
|
|
716 {{0x6d698fe69270b06dULL, 0x00218def416bdb1aULL}
|
|
|
717 }
|
|
|
718 , // 10^(-6) * 2^137
|
|
|
719 {{0xaf0f4ca41d811a47ULL, 0x0035afe535795e90ULL}
|
|
|
720 }
|
|
|
721 , // 10^(-7) * 2^141
|
|
|
722 {{0xbf3f70834acdaea0ULL, 0x002af31dc4611873ULL}
|
|
|
723 }
|
|
|
724 , // 10^(-8) * 2^144
|
|
|
725 {{0x65cc5a02a23e254dULL, 0x00225c17d04dad29ULL}
|
|
|
726 }
|
|
|
727 , // 10^(-9) * 2^147
|
|
|
728 {{0x6fad5cd10396a214ULL, 0x0036f9bfb3af7b75ULL}
|
|
|
729 }
|
|
|
730 , // 10^(-10) * 2^151
|
|
|
731 {{0xbfbde3da69454e76ULL, 0x002bfaffc2f2c92aULL}
|
|
|
732 }
|
|
|
733 , // 10^(-11) * 2^154
|
|
|
734 {{0x32fe4fe1edd10b92ULL, 0x00232f33025bd422ULL}
|
|
|
735 }
|
|
|
736 , // 10^(-12) * 2^157
|
|
|
737 {{0x84ca19697c81ac1cULL, 0x00384b84d092ed03ULL}
|
|
|
738 }
|
|
|
739 , // 10^(-13) * 2^161
|
|
|
740 {{0x03d4e1213067bce4ULL, 0x002d09370d425736ULL}
|
|
|
741 }
|
|
|
742 , // 10^(-14) * 2^164
|
|
|
743 {{0x3643e74dc052fd83ULL, 0x0024075f3dceac2bULL}
|
|
|
744 }
|
|
|
745 , // 10^(-15) * 2^167
|
|
|
746 {{0x56d30baf9a1e626bULL, 0x0039a5652fb11378ULL}
|
|
|
747 }
|
|
|
748 , // 10^(-16) * 2^171
|
|
|
749 {{0x12426fbfae7eb522ULL, 0x002e1dea8c8da92dULL}
|
|
|
750 }
|
|
|
751 , // 10^(-17) * 2^174
|
|
|
752 {{0x41cebfcc8b9890e8ULL, 0x0024e4bba3a48757ULL}
|
|
|
753 }
|
|
|
754 , // 10^(-18) * 2^177
|
|
|
755 {{0x694acc7a78f41b0dULL, 0x003b07929f6da558ULL}
|
|
|
756 }
|
|
|
757 , // 10^(-19) * 2^181
|
|
|
758 {{0xbaa23d2ec729af3eULL, 0x002f394219248446ULL}
|
|
|
759 }
|
|
|
760 , // 10^(-20) * 2^184
|
|
|
761 {{0xfbb4fdbf05baf298ULL, 0x0025c768141d369eULL}
|
|
|
762 }
|
|
|
763 , // 10^(-21) * 2^187
|
|
|
764 {{0x2c54c931a2c4b759ULL, 0x003c7240202ebdcbULL}
|
|
|
765 }
|
|
|
766 , // 10^(-22) * 2^191
|
|
|
767 {{0x89dd6dc14f03c5e1ULL, 0x00305b66802564a2ULL}
|
|
|
768 }
|
|
|
769 , // 10^(-23) * 2^194
|
|
|
770 {{0xd4b1249aa59c9e4eULL, 0x0026af8533511d4eULL}
|
|
|
771 }
|
|
|
772 , // 10^(-24) * 2^197
|
|
|
773 {{0x544ea0f76f60fd49ULL, 0x003de5a1ebb4fbb1ULL}
|
|
|
774 }
|
|
|
775 , // 10^(-25) * 2^201
|
|
|
776 {{0x76a54d92bf80caa1ULL, 0x00318481895d9627ULL}
|
|
|
777 }
|
|
|
778 , // 10^(-26) * 2^204
|
|
|
779 {{0x921dd7a89933d54eULL, 0x00279d346de4781fULL}
|
|
|
780 }
|
|
|
781 , // 10^(-27) * 2^207
|
|
|
782 {{0x8362f2a75b862215ULL, 0x003f61ed7ca0c032ULL}
|
|
|
783 }
|
|
|
784 , // 10^(-28) * 2^211
|
|
|
785 {{0xcf825bb91604e811ULL, 0x0032b4bdfd4d668eULL}
|
|
|
786 }
|
|
|
787 , // 10^(-29) * 2^214
|
|
|
788 {{0x0c684960de6a5341ULL, 0x00289097fdd7853fULL}
|
|
|
789 }
|
|
|
790 , // 10^(-30) * 2^217
|
|
|
791 {{0x3d203ab3e521dc34ULL, 0x002073accb12d0ffULL}
|
|
|
792 }
|
|
|
793 , // 10^(-31) * 2^220
|
|
|
794 {{0x2e99f7863b696053ULL, 0x0033ec47ab514e65ULL}
|
|
|
795 }
|
|
|
796 , // 10^(-32) * 2^224
|
|
|
797 {{0x587b2c6b62bab376ULL, 0x002989d2ef743eb7ULL}
|
|
|
798 }
|
|
|
799 , // 10^(-33) * 2^227
|
|
|
800 {{0xad2f56bc4efbc2c5ULL, 0x00213b0f25f69892ULL}
|
|
|
801 }
|
|
|
802 , // 10^(-34) * 2^230
|
|
|
803 {{0x0f2abc9d8c9689d1ull, 0x01a95a5b7f87a0efull}
|
|
|
804 }
|
|
|
805 , // 35 extra digits
|
|
|
806 };
|
|
|
807
|
|
|
808
|
|
|
809 int recip_scale[] = {
|
|
|
810 129 - 128, // 1
|
|
|
811 129 - 128, // 1/10
|
|
|
812 129 - 128, // 1/10^2
|
|
|
813 129 - 128, // 1/10^3
|
|
|
814 3, // 131 - 128
|
|
|
815 6, // 134 - 128
|
|
|
816 9, // 137 - 128
|
|
|
817 13, // 141 - 128
|
|
|
818 16, // 144 - 128
|
|
|
819 19, // 147 - 128
|
|
|
820 23, // 151 - 128
|
|
|
821 26, // 154 - 128
|
|
|
822 29, // 157 - 128
|
|
|
823 33, // 161 - 128
|
|
|
824 36, // 164 - 128
|
|
|
825 39, // 167 - 128
|
|
|
826 43, // 171 - 128
|
|
|
827 46, // 174 - 128
|
|
|
828 49, // 177 - 128
|
|
|
829 53, // 181 - 128
|
|
|
830 56, // 184 - 128
|
|
|
831 59, // 187 - 128
|
|
|
832 63, // 191 - 128
|
|
|
833
|
|
|
834 66, // 194 - 128
|
|
|
835 69, // 197 - 128
|
|
|
836 73, // 201 - 128
|
|
|
837 76, // 204 - 128
|
|
|
838 79, // 207 - 128
|
|
|
839 83, // 211 - 128
|
|
|
840 86, // 214 - 128
|
|
|
841 89, // 217 - 128
|
|
|
842 92, // 220 - 128
|
|
|
843 96, // 224 - 128
|
|
|
844 99, // 227 - 128
|
|
|
845 102, // 230 - 128
|
|
|
846 109, // 237 - 128, 1/10^35
|
|
|
847 };
|
|
|
848
|
|
|
849
|
|
|
850 // tables used in computation
|
|
|
851 int estimate_decimal_digits[129] = {
|
|
|
852 1, //2^0 =1 < 10^0
|
|
|
853 1, //2^1 =2 < 10^1
|
|
|
854 1, //2^2 =4 < 10^1
|
|
|
855 1, //2^3 =8 < 10^1
|
|
|
856 2, //2^4 =16 < 10^2
|
|
|
857 2, //2^5 =32 < 10^2
|
|
|
858 2, //2^6 =64 < 10^2
|
|
|
859 3, //2^7 =128 < 10^3
|
|
|
860 3, //2^8 =256 < 10^3
|
|
|
861 3, //2^9 =512 < 10^3
|
|
|
862 4, //2^10=1024 < 10^4
|
|
|
863 4, //2^11=2048 < 10^4
|
|
|
864 4, //2^12=4096 < 10^4
|
|
|
865 4, //2^13=8192 < 10^4
|
|
|
866 5, //2^14=16384 < 10^5
|
|
|
867 5, //2^15=32768 < 10^5
|
|
|
868
|
|
|
869 5, //2^16=65536 < 10^5
|
|
|
870 6, //2^17=131072 < 10^6
|
|
|
871 6, //2^18=262144 < 10^6
|
|
|
872 6, //2^19=524288 < 10^6
|
|
|
873 7, //2^20=1048576 < 10^7
|
|
|
874 7, //2^21=2097152 < 10^7
|
|
|
875 7, //2^22=4194304 < 10^7
|
|
|
876 7, //2^23=8388608 < 10^7
|
|
|
877 8, //2^24=16777216 < 10^8
|
|
|
878 8, //2^25=33554432 < 10^8
|
|
|
879 8, //2^26=67108864 < 10^8
|
|
|
880 9, //2^27=134217728 < 10^9
|
|
|
881 9, //2^28=268435456 < 10^9
|
|
|
882 9, //2^29=536870912 < 10^9
|
|
|
883 10, //2^30=1073741824< 10^10
|
|
|
884 10, //2^31=2147483648< 10^10
|
|
|
885
|
|
|
886 10, //2^32=4294967296 < 10^10
|
|
|
887 10, //2^33=8589934592 < 10^10
|
|
|
888 11, //2^34=17179869184 < 10^11
|
|
|
889 11, //2^35=34359738368 < 10^11
|
|
|
890 11, //2^36=68719476736 < 10^11
|
|
|
891 12, //2^37=137438953472 < 10^12
|
|
|
892 12, //2^38=274877906944 < 10^12
|
|
|
893 12, //2^39=549755813888 < 10^12
|
|
|
894 13, //2^40=1099511627776 < 10^13
|
|
|
895 13, //2^41=2199023255552 < 10^13
|
|
|
896 13, //2^42=4398046511104 < 10^13
|
|
|
897 13, //2^43=8796093022208 < 10^13
|
|
|
898 14, //2^44=17592186044416 < 10^14
|
|
|
899 14, //2^45=35184372088832 < 10^14
|
|
|
900 14, //2^46=70368744177664 < 10^14
|
|
|
901 15, //2^47=140737488355328< 10^15
|
|
|
902
|
|
|
903 15, //2^48=281474976710656 < 10^15
|
|
|
904 15, //2^49=562949953421312 < 10^15
|
|
|
905 16, //2^50=1125899906842624 < 10^16
|
|
|
906 16, //2^51=2251799813685248 < 10^16
|
|
|
907 16, //2^52=4503599627370496 < 10^16
|
|
|
908 16, //2^53=9007199254740992 < 10^16
|
|
|
909 17, //2^54=18014398509481984 < 10^17
|
|
|
910 17, //2^55=36028797018963968 < 10^17
|
|
|
911 17, //2^56=72057594037927936 < 10^17
|
|
|
912 18, //2^57=144115188075855872 < 10^18
|
|
|
913 18, //2^58=288230376151711744 < 10^18
|
|
|
914 18, //2^59=576460752303423488 < 10^18
|
|
|
915 19, //2^60=1152921504606846976< 10^19
|
|
|
916 19, //2^61=2305843009213693952< 10^19
|
|
|
917 19, //2^62=4611686018427387904< 10^19
|
|
|
918 19, //2^63=9223372036854775808< 10^19
|
|
|
919
|
|
|
920 20, //2^64=18446744073709551616
|
|
|
921 20, //2^65=36893488147419103232
|
|
|
922 20, //2^66=73786976294838206464
|
|
|
923 21, //2^67=147573952589676412928
|
|
|
924 21, //2^68=295147905179352825856
|
|
|
925 21, //2^69=590295810358705651712
|
|
|
926 22, //2^70=1180591620717411303424
|
|
|
927 22, //2^71=2361183241434822606848
|
|
|
928 22, //2^72=4722366482869645213696
|
|
|
929 22, //2^73=9444732965739290427392
|
|
|
930 23, //2^74=18889465931478580854784
|
|
|
931 23, //2^75=37778931862957161709568
|
|
|
932 23, //2^76=75557863725914323419136
|
|
|
933 24, //2^77=151115727451828646838272
|
|
|
934 24, //2^78=302231454903657293676544
|
|
|
935 24, //2^79=604462909807314587353088
|
|
|
936
|
|
|
937 25, //2^80=1208925819614629174706176
|
|
|
938 25, //2^81=2417851639229258349412352
|
|
|
939 25, //2^82=4835703278458516698824704
|
|
|
940 25, //2^83=9671406556917033397649408
|
|
|
941 26, //2^84=19342813113834066795298816
|
|
|
942 26, //2^85=38685626227668133590597632
|
|
|
943 26, //2^86=77371252455336267181195264
|
|
|
944 27, //2^87=154742504910672534362390528
|
|
|
945 27, //2^88=309485009821345068724781056
|
|
|
946 27, //2^89=618970019642690137449562112
|
|
|
947 28, //2^90=1237940039285380274899124224
|
|
|
948 28, //2^91=2475880078570760549798248448
|
|
|
949 28, //2^92=4951760157141521099596496896
|
|
|
950 28, //2^93=9903520314283042199192993792
|
|
|
951 29, //2^94=19807040628566084398385987584
|
|
|
952 29, //2^95=39614081257132168796771975168
|
|
|
953 29, //2^96=79228162514264337593543950336
|
|
|
954
|
|
|
955 30, //2^97=158456325028528675187087900672
|
|
|
956 30, //2^98=316912650057057350374175801344
|
|
|
957 30, //2^99=633825300114114700748351602688
|
|
|
958 31, //2^100=1267650600228229401496703205376
|
|
|
959 31, //2^101=2535301200456458802993406410752
|
|
|
960 31, //2^102=5070602400912917605986812821504
|
|
|
961 32, //2^103=10141204801825835211973625643008
|
|
|
962 32, //2^104=20282409603651670423947251286016
|
|
|
963 32, //2^105=40564819207303340847894502572032
|
|
|
964 32, //2^106=81129638414606681695789005144064
|
|
|
965 33, //2^107=162259276829213363391578010288128
|
|
|
966 33, // 2^108
|
|
|
967 33, // 2^109
|
|
|
968 34, // 2^110
|
|
|
969 34, // 2^111
|
|
|
970 34, // 2^112
|
|
|
971 35, // 2^113
|
|
|
972 35, // 2^114
|
|
|
973 35, // 2^115
|
|
|
974 35, // 2^116
|
|
|
975 36, // 2^117
|
|
|
976 36, // 2^118
|
|
|
977 36, // 2^119
|
|
|
978 37, // 2^120
|
|
|
979 37, // 2^121
|
|
|
980 37, // 2^122
|
|
|
981 38, // 2^123
|
|
|
982 38, // 2^124
|
|
|
983 38, // 2^125
|
|
|
984 38, // 2^126
|
|
|
985 39, // 2^127
|
|
|
986 39 // 2^128
|
|
|
987 };
|
|
|
988
|
|
|
989
|
|
|
990 UINT128 power10_table_128[] = {
|
|
|
991 {{0x0000000000000001ull, 0x0000000000000000ull}}, // 10^0
|
|
|
992 {{0x000000000000000aull, 0x0000000000000000ull}}, // 10^1
|
|
|
993 {{0x0000000000000064ull, 0x0000000000000000ull}}, // 10^2
|
|
|
994 {{0x00000000000003e8ull, 0x0000000000000000ull}}, // 10^3
|
|
|
995 {{0x0000000000002710ull, 0x0000000000000000ull}}, // 10^4
|
|
|
996 {{0x00000000000186a0ull, 0x0000000000000000ull}}, // 10^5
|
|
|
997 {{0x00000000000f4240ull, 0x0000000000000000ull}}, // 10^6
|
|
|
998 {{0x0000000000989680ull, 0x0000000000000000ull}}, // 10^7
|
|
|
999 {{0x0000000005f5e100ull, 0x0000000000000000ull}}, // 10^8
|
|
|
1000 {{0x000000003b9aca00ull, 0x0000000000000000ull}}, // 10^9
|
|
|
1001 {{0x00000002540be400ull, 0x0000000000000000ull}}, // 10^10
|
|
|
1002 {{0x000000174876e800ull, 0x0000000000000000ull}}, // 10^11
|
|
|
1003 {{0x000000e8d4a51000ull, 0x0000000000000000ull}}, // 10^12
|
|
|
1004 {{0x000009184e72a000ull, 0x0000000000000000ull}}, // 10^13
|
|
|
1005 {{0x00005af3107a4000ull, 0x0000000000000000ull}}, // 10^14
|
|
|
1006 {{0x00038d7ea4c68000ull, 0x0000000000000000ull}}, // 10^15
|
|
|
1007 {{0x002386f26fc10000ull, 0x0000000000000000ull}}, // 10^16
|
|
|
1008 {{0x016345785d8a0000ull, 0x0000000000000000ull}}, // 10^17
|
|
|
1009 {{0x0de0b6b3a7640000ull, 0x0000000000000000ull}}, // 10^18
|
|
|
1010 {{0x8ac7230489e80000ull, 0x0000000000000000ull}}, // 10^19
|
|
|
1011 {{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20
|
|
|
1012 {{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21
|
|
|
1013 {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22
|
|
|
1014 {{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23
|
|
|
1015 {{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24
|
|
|
1016 {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25
|
|
|
1017 {{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26
|
|
|
1018 {{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27
|
|
|
1019 {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28
|
|
|
1020 {{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29
|
|
|
1021 {{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30
|
|
|
1022 {{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31
|
|
|
1023 {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32
|
|
|
1024 {{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33
|
|
|
1025 {{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34
|
|
|
1026 {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35
|
|
|
1027 {{0xb34b9f1000000000ull, 0x00c097ce7bc90715ull}}, // 10^36
|
|
|
1028 {{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37
|
|
|
1029 {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38
|
|
|
1030 };
|
|
|
1031
|
|
|
1032
|
|
|
1033 int estimate_bin_expon[] = {
|
|
|
1034 0, // 10^0
|
|
|
1035 3, // 10^1
|
|
|
1036 6, // 10^2
|
|
|
1037 9, // 10^3
|
|
|
1038 13, // 10^4
|
|
|
1039 16, // 10^5
|
|
|
1040 19, // 10^6
|
|
|
1041 23, // 10^7
|
|
|
1042 26, // 10^8
|
|
|
1043 29, // 10^9
|
|
|
1044 33, // 10^10
|
|
|
1045 36, // 10^11
|
|
|
1046 39, // 10^12
|
|
|
1047 43, // 10^13
|
|
|
1048 46, // 10^14
|
|
|
1049 49, // 10^15
|
|
|
1050 53 // 10^16
|
|
|
1051 };
|
|
|
1052
|
|
|
1053
|
|
|
1054 UINT64 power10_index_binexp[] = {
|
|
|
1055 0x000000000000000aull,
|
|
|
1056 0x000000000000000aull,
|
|
|
1057 0x000000000000000aull,
|
|
|
1058 0x000000000000000aull,
|
|
|
1059 0x0000000000000064ull,
|
|
|
1060 0x0000000000000064ull,
|
|
|
1061 0x0000000000000064ull,
|
|
|
1062 0x00000000000003e8ull,
|
|
|
1063 0x00000000000003e8ull,
|
|
|
1064 0x00000000000003e8ull,
|
|
|
1065 0x0000000000002710ull,
|
|
|
1066 0x0000000000002710ull,
|
|
|
1067 0x0000000000002710ull,
|
|
|
1068 0x0000000000002710ull,
|
|
|
1069 0x00000000000186a0ull,
|
|
|
1070 0x00000000000186a0ull,
|
|
|
1071 0x00000000000186a0ull,
|
|
|
1072 0x00000000000f4240ull,
|
|
|
1073 0x00000000000f4240ull,
|
|
|
1074 0x00000000000f4240ull,
|
|
|
1075 0x0000000000989680ull,
|
|
|
1076 0x0000000000989680ull,
|
|
|
1077 0x0000000000989680ull,
|
|
|
1078 0x0000000000989680ull,
|
|
|
1079 0x0000000005f5e100ull,
|
|
|
1080 0x0000000005f5e100ull,
|
|
|
1081 0x0000000005f5e100ull,
|
|
|
1082 0x000000003b9aca00ull,
|
|
|
1083 0x000000003b9aca00ull,
|
|
|
1084 0x000000003b9aca00ull,
|
|
|
1085 0x00000002540be400ull,
|
|
|
1086 0x00000002540be400ull,
|
|
|
1087 0x00000002540be400ull,
|
|
|
1088 0x00000002540be400ull,
|
|
|
1089 0x000000174876e800ull,
|
|
|
1090 0x000000174876e800ull,
|
|
|
1091 0x000000174876e800ull,
|
|
|
1092 0x000000e8d4a51000ull,
|
|
|
1093 0x000000e8d4a51000ull,
|
|
|
1094 0x000000e8d4a51000ull,
|
|
|
1095 0x000009184e72a000ull,
|
|
|
1096 0x000009184e72a000ull,
|
|
|
1097 0x000009184e72a000ull,
|
|
|
1098 0x000009184e72a000ull,
|
|
|
1099 0x00005af3107a4000ull,
|
|
|
1100 0x00005af3107a4000ull,
|
|
|
1101 0x00005af3107a4000ull,
|
|
|
1102 0x00038d7ea4c68000ull,
|
|
|
1103 0x00038d7ea4c68000ull,
|
|
|
1104 0x00038d7ea4c68000ull,
|
|
|
1105 0x002386f26fc10000ull,
|
|
|
1106 0x002386f26fc10000ull,
|
|
|
1107 0x002386f26fc10000ull,
|
|
|
1108 0x002386f26fc10000ull,
|
|
|
1109 0x016345785d8a0000ull,
|
|
|
1110 0x016345785d8a0000ull,
|
|
|
1111 0x016345785d8a0000ull,
|
|
|
1112 0x0de0b6b3a7640000ull,
|
|
|
1113 0x0de0b6b3a7640000ull,
|
|
|
1114 0x0de0b6b3a7640000ull,
|
|
|
1115 0x8ac7230489e80000ull,
|
|
|
1116 0x8ac7230489e80000ull,
|
|
|
1117 0x8ac7230489e80000ull,
|
|
|
1118 0x8ac7230489e80000ull
|
|
|
1119 };
|
|
|
1120
|
|
|
1121
|
|
|
1122 int short_recip_scale[] = {
|
|
|
1123 1,
|
|
|
1124 65 - 64,
|
|
|
1125 69 - 64,
|
|
|
1126 71 - 64,
|
|
|
1127 75 - 64,
|
|
|
1128 78 - 64,
|
|
|
1129 81 - 64,
|
|
|
1130 85 - 64,
|
|
|
1131 88 - 64,
|
|
|
1132 91 - 64,
|
|
|
1133 95 - 64,
|
|
|
1134 98 - 64,
|
|
|
1135 101 - 64,
|
|
|
1136 105 - 64,
|
|
|
1137 108 - 64,
|
|
|
1138 111 - 64,
|
|
|
1139 115 - 64, //114 - 64
|
|
|
1140 118 - 64
|
|
|
1141 };
|
|
|
1142
|
|
|
1143
|
|
|
1144 UINT64 reciprocals10_64[] = {
|
|
|
1145 1ull, // dummy value for 0 extra digits
|
|
|
1146 0x3333333333333334ull, // 1 extra digit
|
|
|
1147 0x51eb851eb851eb86ull,
|
|
|
1148 0x20c49ba5e353f7cfull,
|
|
|
1149 0x346dc5d63886594bull,
|
|
|
1150 0x29f16b11c6d1e109ull,
|
|
|
1151 0x218def416bdb1a6eull,
|
|
|
1152 0x35afe535795e90b0ull,
|
|
|
1153 0x2af31dc4611873c0ull,
|
|
|
1154 0x225c17d04dad2966ull,
|
|
|
1155 0x36f9bfb3af7b7570ull,
|
|
|
1156 0x2bfaffc2f2c92ac0ull,
|
|
|
1157 0x232f33025bd42233ull,
|
|
|
1158 0x384b84d092ed0385ull,
|
|
|
1159 0x2d09370d42573604ull,
|
|
|
1160 0x24075f3dceac2b37ull,
|
|
|
1161 0x39a5652fb1137857ull,
|
|
|
1162 0x2e1dea8c8da92d13ull
|
|
|
1163 };
|
|
|
1164
|
|
|
1165
|
|
|
1166
|
|
|
1167 UINT128 power10_index_binexp_128[] = {
|
|
|
1168 {{0x000000000000000aull, 0x0000000000000000ull}},
|
|
|
1169 {{0x000000000000000aull, 0x0000000000000000ull}},
|
|
|
1170 {{0x000000000000000aull, 0x0000000000000000ull}},
|
|
|
1171 {{0x000000000000000aull, 0x0000000000000000ull}},
|
|
|
1172 {{0x0000000000000064ull, 0x0000000000000000ull}},
|
|
|
1173 {{0x0000000000000064ull, 0x0000000000000000ull}},
|
|
|
1174 {{0x0000000000000064ull, 0x0000000000000000ull}},
|
|
|
1175 {{0x00000000000003e8ull, 0x0000000000000000ull}},
|
|
|
1176 {{0x00000000000003e8ull, 0x0000000000000000ull}},
|
|
|
1177 {{0x00000000000003e8ull, 0x0000000000000000ull}},
|
|
|
1178 {{0x0000000000002710ull, 0x0000000000000000ull}},
|
|
|
1179 {{0x0000000000002710ull, 0x0000000000000000ull}},
|
|
|
1180 {{0x0000000000002710ull, 0x0000000000000000ull}},
|
|
|
1181 {{0x0000000000002710ull, 0x0000000000000000ull}},
|
|
|
1182 {{0x00000000000186a0ull, 0x0000000000000000ull}},
|
|
|
1183 {{0x00000000000186a0ull, 0x0000000000000000ull}},
|
|
|
1184 {{0x00000000000186a0ull, 0x0000000000000000ull}},
|
|
|
1185 {{0x00000000000f4240ull, 0x0000000000000000ull}},
|
|
|
1186 {{0x00000000000f4240ull, 0x0000000000000000ull}},
|
|
|
1187 {{0x00000000000f4240ull, 0x0000000000000000ull}},
|
|
|
1188 {{0x0000000000989680ull, 0x0000000000000000ull}},
|
|
|
1189 {{0x0000000000989680ull, 0x0000000000000000ull}},
|
|
|
1190 {{0x0000000000989680ull, 0x0000000000000000ull}},
|
|
|
1191 {{0x0000000000989680ull, 0x0000000000000000ull}},
|
|
|
1192 {{0x0000000005f5e100ull, 0x0000000000000000ull}},
|
|
|
1193 {{0x0000000005f5e100ull, 0x0000000000000000ull}},
|
|
|
1194 {{0x0000000005f5e100ull, 0x0000000000000000ull}},
|
|
|
1195 {{0x000000003b9aca00ull, 0x0000000000000000ull}},
|
|
|
1196 {{0x000000003b9aca00ull, 0x0000000000000000ull}},
|
|
|
1197 {{0x000000003b9aca00ull, 0x0000000000000000ull}},
|
|
|
1198 {{0x00000002540be400ull, 0x0000000000000000ull}},
|
|
|
1199 {{0x00000002540be400ull, 0x0000000000000000ull}},
|
|
|
1200 {{0x00000002540be400ull, 0x0000000000000000ull}},
|
|
|
1201 {{0x00000002540be400ull, 0x0000000000000000ull}},
|
|
|
1202 {{0x000000174876e800ull, 0x0000000000000000ull}},
|
|
|
1203 {{0x000000174876e800ull, 0x0000000000000000ull}},
|
|
|
1204 {{0x000000174876e800ull, 0x0000000000000000ull}},
|
|
|
1205 {{0x000000e8d4a51000ull, 0x0000000000000000ull}},
|
|
|
1206 {{0x000000e8d4a51000ull, 0x0000000000000000ull}},
|
|
|
1207 {{0x000000e8d4a51000ull, 0x0000000000000000ull}},
|
|
|
1208 {{0x000009184e72a000ull, 0x0000000000000000ull}},
|
|
|
1209 {{0x000009184e72a000ull, 0x0000000000000000ull}},
|
|
|
1210 {{0x000009184e72a000ull, 0x0000000000000000ull}},
|
|
|
1211 {{0x000009184e72a000ull, 0x0000000000000000ull}},
|
|
|
1212 {{0x00005af3107a4000ull, 0x0000000000000000ull}},
|
|
|
1213 {{0x00005af3107a4000ull, 0x0000000000000000ull}},
|
|
|
1214 {{0x00005af3107a4000ull, 0x0000000000000000ull}},
|
|
|
1215 {{0x00038d7ea4c68000ull, 0x0000000000000000ull}},
|
|
|
1216 {{0x00038d7ea4c68000ull, 0x0000000000000000ull}},
|
|
|
1217 {{0x00038d7ea4c68000ull, 0x0000000000000000ull}},
|
|
|
1218 {{0x002386f26fc10000ull, 0x0000000000000000ull}},
|
|
|
1219 {{0x002386f26fc10000ull, 0x0000000000000000ull}},
|
|
|
1220 {{0x002386f26fc10000ull, 0x0000000000000000ull}},
|
|
|
1221 {{0x002386f26fc10000ull, 0x0000000000000000ull}},
|
|
|
1222 {{0x016345785d8a0000ull, 0x0000000000000000ull}},
|
|
|
1223 {{0x016345785d8a0000ull, 0x0000000000000000ull}},
|
|
|
1224 {{0x016345785d8a0000ull, 0x0000000000000000ull}},
|
|
|
1225 {{0x0de0b6b3a7640000ull, 0x0000000000000000ull}},
|
|
|
1226 {{0x0de0b6b3a7640000ull, 0x0000000000000000ull}},
|
|
|
1227 {{0x0de0b6b3a7640000ull, 0x0000000000000000ull}},
|
|
|
1228 {{0x8ac7230489e80000ull, 0x0000000000000000ull}},
|
|
|
1229 {{0x8ac7230489e80000ull, 0x0000000000000000ull}},
|
|
|
1230 {{0x8ac7230489e80000ull, 0x0000000000000000ull}},
|
|
|
1231 {{0x8ac7230489e80000ull, 0x0000000000000000ull}},
|
|
|
1232 {{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20
|
|
|
1233 {{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20
|
|
|
1234 {{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20
|
|
|
1235 {{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21
|
|
|
1236 {{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21
|
|
|
1237 {{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21
|
|
|
1238 {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22
|
|
|
1239 {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22
|
|
|
1240 {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22
|
|
|
1241 {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22
|
|
|
1242 {{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23
|
|
|
1243 {{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23
|
|
|
1244 {{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23
|
|
|
1245 {{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24
|
|
|
1246 {{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24
|
|
|
1247 {{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24
|
|
|
1248 {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25
|
|
|
1249 {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25
|
|
|
1250 {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25
|
|
|
1251 {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25
|
|
|
1252 {{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26
|
|
|
1253 {{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26
|
|
|
1254 {{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26
|
|
|
1255 {{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27
|
|
|
1256 {{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27
|
|
|
1257 {{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27
|
|
|
1258 {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28
|
|
|
1259 {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28
|
|
|
1260 {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28
|
|
|
1261 {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28
|
|
|
1262 {{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29
|
|
|
1263 {{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29
|
|
|
1264 {{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29
|
|
|
1265 {{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30
|
|
|
1266 {{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30
|
|
|
1267 {{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30
|
|
|
1268 {{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31
|
|
|
1269 {{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31
|
|
|
1270 {{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31
|
|
|
1271 {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32
|
|
|
1272 {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32
|
|
|
1273 {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32
|
|
|
1274 {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32
|
|
|
1275 {{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33
|
|
|
1276 {{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33
|
|
|
1277 {{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33, entry 112
|
|
|
1278 {{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34
|
|
|
1279 {{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34
|
|
|
1280 {{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34
|
|
|
1281 {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35
|
|
|
1282 {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35
|
|
|
1283 {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35
|
|
|
1284 {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35
|
|
|
1285 {{0xb34b9f1000000000ull, 0x00c097ce7bc90715ull}}, // 10^36
|
|
|
1286 {{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37
|
|
|
1287 {{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37
|
|
|
1288 {{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37
|
|
|
1289 {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38
|
|
|
1290 {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38
|
|
|
1291 {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38
|
|
|
1292 {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38
|
|
|
1293 };
|
