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1 ------------------------------------------------------------------------ |
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2 -- dqMaxMag.decTest -- decQuad maxnummag -- |
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3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- |
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4 ------------------------------------------------------------------------ |
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5 -- Please see the document "General Decimal Arithmetic Testcases" -- |
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6 -- at http://www2.hursley.ibm.com/decimal for the description of -- |
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7 -- these testcases. -- |
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8 -- -- |
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9 -- These testcases are experimental ('beta' versions), and they -- |
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10 -- may contain errors. They are offered on an as-is basis. In -- |
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11 -- particular, achieving the same results as the tests here is not -- |
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12 -- a guarantee that an implementation complies with any Standard -- |
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13 -- or specification. The tests are not exhaustive. -- |
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14 -- -- |
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15 -- Please send comments, suggestions, and corrections to the author: -- |
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16 -- Mike Cowlishaw, IBM Fellow -- |
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17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- |
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18 -- mfc@uk.ibm.com -- |
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19 ------------------------------------------------------------------------ |
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20 version: 2.58 |
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21 |
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22 -- we assume that base comparison is tested in compare.decTest, so |
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23 -- these mainly cover special cases and rounding |
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24 extended: 1 |
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25 clamp: 1 |
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26 precision: 34 |
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27 maxExponent: 6144 |
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28 minExponent: -6143 |
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29 rounding: half_even |
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30 |
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31 -- sanity checks |
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32 dqmxg001 maxmag -2 -2 -> -2 |
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33 dqmxg002 maxmag -2 -1 -> -2 |
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34 dqmxg003 maxmag -2 0 -> -2 |
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35 dqmxg004 maxmag -2 1 -> -2 |
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36 dqmxg005 maxmag -2 2 -> 2 |
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37 dqmxg006 maxmag -1 -2 -> -2 |
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38 dqmxg007 maxmag -1 -1 -> -1 |
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39 dqmxg008 maxmag -1 0 -> -1 |
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40 dqmxg009 maxmag -1 1 -> 1 |
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41 dqmxg010 maxmag -1 2 -> 2 |
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42 dqmxg011 maxmag 0 -2 -> -2 |
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43 dqmxg012 maxmag 0 -1 -> -1 |
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44 dqmxg013 maxmag 0 0 -> 0 |
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45 dqmxg014 maxmag 0 1 -> 1 |
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46 dqmxg015 maxmag 0 2 -> 2 |
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47 dqmxg016 maxmag 1 -2 -> -2 |
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48 dqmxg017 maxmag 1 -1 -> 1 |
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49 dqmxg018 maxmag 1 0 -> 1 |
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50 dqmxg019 maxmag 1 1 -> 1 |
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51 dqmxg020 maxmag 1 2 -> 2 |
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52 dqmxg021 maxmag 2 -2 -> 2 |
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53 dqmxg022 maxmag 2 -1 -> 2 |
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54 dqmxg023 maxmag 2 0 -> 2 |
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55 dqmxg025 maxmag 2 1 -> 2 |
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56 dqmxg026 maxmag 2 2 -> 2 |
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57 |
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58 -- extended zeros |
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59 dqmxg030 maxmag 0 0 -> 0 |
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60 dqmxg031 maxmag 0 -0 -> 0 |
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61 dqmxg032 maxmag 0 -0.0 -> 0 |
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62 dqmxg033 maxmag 0 0.0 -> 0 |
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63 dqmxg034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen |
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64 dqmxg035 maxmag -0 -0 -> -0 |
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65 dqmxg036 maxmag -0 -0.0 -> -0.0 |
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66 dqmxg037 maxmag -0 0.0 -> 0.0 |
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67 dqmxg038 maxmag 0.0 0 -> 0 |
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68 dqmxg039 maxmag 0.0 -0 -> 0.0 |
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69 dqmxg040 maxmag 0.0 -0.0 -> 0.0 |
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70 dqmxg041 maxmag 0.0 0.0 -> 0.0 |
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71 dqmxg042 maxmag -0.0 0 -> 0 |
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72 dqmxg043 maxmag -0.0 -0 -> -0.0 |
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73 dqmxg044 maxmag -0.0 -0.0 -> -0.0 |
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74 dqmxg045 maxmag -0.0 0.0 -> 0.0 |
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75 |
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76 dqmxg050 maxmag -0E1 0E1 -> 0E+1 |
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77 dqmxg051 maxmag -0E2 0E2 -> 0E+2 |
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78 dqmxg052 maxmag -0E2 0E1 -> 0E+1 |
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79 dqmxg053 maxmag -0E1 0E2 -> 0E+2 |
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80 dqmxg054 maxmag 0E1 -0E1 -> 0E+1 |
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81 dqmxg055 maxmag 0E2 -0E2 -> 0E+2 |
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82 dqmxg056 maxmag 0E2 -0E1 -> 0E+2 |
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83 dqmxg057 maxmag 0E1 -0E2 -> 0E+1 |
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84 |
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85 dqmxg058 maxmag 0E1 0E1 -> 0E+1 |
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86 dqmxg059 maxmag 0E2 0E2 -> 0E+2 |
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87 dqmxg060 maxmag 0E2 0E1 -> 0E+2 |
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88 dqmxg061 maxmag 0E1 0E2 -> 0E+2 |
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89 dqmxg062 maxmag -0E1 -0E1 -> -0E+1 |
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90 dqmxg063 maxmag -0E2 -0E2 -> -0E+2 |
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91 dqmxg064 maxmag -0E2 -0E1 -> -0E+1 |
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92 dqmxg065 maxmag -0E1 -0E2 -> -0E+1 |
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93 |
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94 -- Specials |
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95 dqmxg090 maxmag Inf -Inf -> Infinity |
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96 dqmxg091 maxmag Inf -1000 -> Infinity |
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97 dqmxg092 maxmag Inf -1 -> Infinity |
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98 dqmxg093 maxmag Inf -0 -> Infinity |
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99 dqmxg094 maxmag Inf 0 -> Infinity |
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100 dqmxg095 maxmag Inf 1 -> Infinity |
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101 dqmxg096 maxmag Inf 1000 -> Infinity |
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102 dqmxg097 maxmag Inf Inf -> Infinity |
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103 dqmxg098 maxmag -1000 Inf -> Infinity |
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104 dqmxg099 maxmag -Inf Inf -> Infinity |
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105 dqmxg100 maxmag -1 Inf -> Infinity |
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106 dqmxg101 maxmag -0 Inf -> Infinity |
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107 dqmxg102 maxmag 0 Inf -> Infinity |
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108 dqmxg103 maxmag 1 Inf -> Infinity |
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109 dqmxg104 maxmag 1000 Inf -> Infinity |
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110 dqmxg105 maxmag Inf Inf -> Infinity |
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111 |
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112 dqmxg120 maxmag -Inf -Inf -> -Infinity |
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113 dqmxg121 maxmag -Inf -1000 -> -Infinity |
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114 dqmxg122 maxmag -Inf -1 -> -Infinity |
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115 dqmxg123 maxmag -Inf -0 -> -Infinity |
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116 dqmxg124 maxmag -Inf 0 -> -Infinity |
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117 dqmxg125 maxmag -Inf 1 -> -Infinity |
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118 dqmxg126 maxmag -Inf 1000 -> -Infinity |
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119 dqmxg127 maxmag -Inf Inf -> Infinity |
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120 dqmxg128 maxmag -Inf -Inf -> -Infinity |
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121 dqmxg129 maxmag -1000 -Inf -> -Infinity |
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122 dqmxg130 maxmag -1 -Inf -> -Infinity |
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123 dqmxg131 maxmag -0 -Inf -> -Infinity |
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124 dqmxg132 maxmag 0 -Inf -> -Infinity |
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125 dqmxg133 maxmag 1 -Inf -> -Infinity |
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126 dqmxg134 maxmag 1000 -Inf -> -Infinity |
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127 dqmxg135 maxmag Inf -Inf -> Infinity |
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128 |
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129 -- 2004.08.02 754r chooses number over NaN in mixed cases |
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130 dqmxg141 maxmag NaN -Inf -> -Infinity |
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131 dqmxg142 maxmag NaN -1000 -> -1000 |
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132 dqmxg143 maxmag NaN -1 -> -1 |
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133 dqmxg144 maxmag NaN -0 -> -0 |
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134 dqmxg145 maxmag NaN 0 -> 0 |
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135 dqmxg146 maxmag NaN 1 -> 1 |
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136 dqmxg147 maxmag NaN 1000 -> 1000 |
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137 dqmxg148 maxmag NaN Inf -> Infinity |
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138 dqmxg149 maxmag NaN NaN -> NaN |
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139 dqmxg150 maxmag -Inf NaN -> -Infinity |
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140 dqmxg151 maxmag -1000 NaN -> -1000 |
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141 dqmxg152 maxmag -1 NaN -> -1 |
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142 dqmxg153 maxmag -0 NaN -> -0 |
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143 dqmxg154 maxmag 0 NaN -> 0 |
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144 dqmxg155 maxmag 1 NaN -> 1 |
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145 dqmxg156 maxmag 1000 NaN -> 1000 |
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146 dqmxg157 maxmag Inf NaN -> Infinity |
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147 |
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148 dqmxg161 maxmag sNaN -Inf -> NaN Invalid_operation |
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149 dqmxg162 maxmag sNaN -1000 -> NaN Invalid_operation |
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150 dqmxg163 maxmag sNaN -1 -> NaN Invalid_operation |
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151 dqmxg164 maxmag sNaN -0 -> NaN Invalid_operation |
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152 dqmxg165 maxmag sNaN 0 -> NaN Invalid_operation |
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153 dqmxg166 maxmag sNaN 1 -> NaN Invalid_operation |
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154 dqmxg167 maxmag sNaN 1000 -> NaN Invalid_operation |
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155 dqmxg168 maxmag sNaN NaN -> NaN Invalid_operation |
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156 dqmxg169 maxmag sNaN sNaN -> NaN Invalid_operation |
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157 dqmxg170 maxmag NaN sNaN -> NaN Invalid_operation |
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158 dqmxg171 maxmag -Inf sNaN -> NaN Invalid_operation |
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159 dqmxg172 maxmag -1000 sNaN -> NaN Invalid_operation |
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160 dqmxg173 maxmag -1 sNaN -> NaN Invalid_operation |
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161 dqmxg174 maxmag -0 sNaN -> NaN Invalid_operation |
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162 dqmxg175 maxmag 0 sNaN -> NaN Invalid_operation |
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163 dqmxg176 maxmag 1 sNaN -> NaN Invalid_operation |
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164 dqmxg177 maxmag 1000 sNaN -> NaN Invalid_operation |
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165 dqmxg178 maxmag Inf sNaN -> NaN Invalid_operation |
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166 dqmxg179 maxmag NaN sNaN -> NaN Invalid_operation |
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167 |
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168 -- propagating NaNs |
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169 dqmxg181 maxmag NaN9 -Inf -> -Infinity |
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170 dqmxg182 maxmag NaN8 9 -> 9 |
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171 dqmxg183 maxmag -NaN7 Inf -> Infinity |
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172 |
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173 dqmxg184 maxmag -NaN1 NaN11 -> -NaN1 |
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174 dqmxg185 maxmag NaN2 NaN12 -> NaN2 |
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175 dqmxg186 maxmag -NaN13 -NaN7 -> -NaN13 |
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176 dqmxg187 maxmag NaN14 -NaN5 -> NaN14 |
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177 |
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178 dqmxg188 maxmag -Inf NaN4 -> -Infinity |
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179 dqmxg189 maxmag -9 -NaN3 -> -9 |
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180 dqmxg190 maxmag Inf NaN2 -> Infinity |
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181 |
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182 dqmxg191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation |
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183 dqmxg192 maxmag sNaN98 -1 -> NaN98 Invalid_operation |
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184 dqmxg193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation |
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185 dqmxg194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation |
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186 dqmxg195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation |
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187 dqmxg196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation |
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188 dqmxg197 maxmag 0 sNaN91 -> NaN91 Invalid_operation |
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189 dqmxg198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation |
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190 dqmxg199 maxmag NaN sNaN89 -> NaN89 Invalid_operation |
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191 |
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192 -- old rounding checks |
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193 dqmxg221 maxmag 12345678000 1 -> 12345678000 |
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194 dqmxg222 maxmag 1 12345678000 -> 12345678000 |
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195 dqmxg223 maxmag 1234567800 1 -> 1234567800 |
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196 dqmxg224 maxmag 1 1234567800 -> 1234567800 |
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197 dqmxg225 maxmag 1234567890 1 -> 1234567890 |
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198 dqmxg226 maxmag 1 1234567890 -> 1234567890 |
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199 dqmxg227 maxmag 1234567891 1 -> 1234567891 |
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200 dqmxg228 maxmag 1 1234567891 -> 1234567891 |
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201 dqmxg229 maxmag 12345678901 1 -> 12345678901 |
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202 dqmxg230 maxmag 1 12345678901 -> 12345678901 |
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203 dqmxg231 maxmag 1234567896 1 -> 1234567896 |
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204 dqmxg232 maxmag 1 1234567896 -> 1234567896 |
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205 dqmxg233 maxmag -1234567891 1 -> -1234567891 |
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206 dqmxg234 maxmag 1 -1234567891 -> -1234567891 |
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207 dqmxg235 maxmag -12345678901 1 -> -12345678901 |
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208 dqmxg236 maxmag 1 -12345678901 -> -12345678901 |
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209 dqmxg237 maxmag -1234567896 1 -> -1234567896 |
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210 dqmxg238 maxmag 1 -1234567896 -> -1234567896 |
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211 |
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212 -- from examples |
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213 dqmxg280 maxmag '3' '2' -> '3' |
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214 dqmxg281 maxmag '-10' '3' -> '-10' |
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215 dqmxg282 maxmag '1.0' '1' -> '1' |
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216 dqmxg283 maxmag '1' '1.0' -> '1' |
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217 dqmxg284 maxmag '7' 'NaN' -> '7' |
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218 |
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219 -- expanded list from min/max 754r purple prose |
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220 -- [explicit tests for exponent ordering] |
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221 dqmxg401 maxmag Inf 1.1 -> Infinity |
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222 dqmxg402 maxmag 1.1 1 -> 1.1 |
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223 dqmxg403 maxmag 1 1.0 -> 1 |
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224 dqmxg404 maxmag 1.0 0.1 -> 1.0 |
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225 dqmxg405 maxmag 0.1 0.10 -> 0.1 |
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226 dqmxg406 maxmag 0.10 0.100 -> 0.10 |
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227 dqmxg407 maxmag 0.10 0 -> 0.10 |
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228 dqmxg408 maxmag 0 0.0 -> 0 |
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229 dqmxg409 maxmag 0.0 -0 -> 0.0 |
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230 dqmxg410 maxmag 0.0 -0.0 -> 0.0 |
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231 dqmxg411 maxmag 0.00 -0.0 -> 0.00 |
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232 dqmxg412 maxmag 0.0 -0.00 -> 0.0 |
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233 dqmxg413 maxmag 0 -0.0 -> 0 |
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234 dqmxg414 maxmag 0 -0 -> 0 |
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235 dqmxg415 maxmag -0.0 -0 -> -0.0 |
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236 dqmxg416 maxmag -0 -0.100 -> -0.100 |
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237 dqmxg417 maxmag -0.100 -0.10 -> -0.100 |
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238 dqmxg418 maxmag -0.10 -0.1 -> -0.10 |
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239 dqmxg419 maxmag -0.1 -1.0 -> -1.0 |
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240 dqmxg420 maxmag -1.0 -1 -> -1.0 |
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241 dqmxg421 maxmag -1 -1.1 -> -1.1 |
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242 dqmxg423 maxmag -1.1 -Inf -> -Infinity |
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243 -- same with operands reversed |
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244 dqmxg431 maxmag 1.1 Inf -> Infinity |
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245 dqmxg432 maxmag 1 1.1 -> 1.1 |
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246 dqmxg433 maxmag 1.0 1 -> 1 |
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247 dqmxg434 maxmag 0.1 1.0 -> 1.0 |
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248 dqmxg435 maxmag 0.10 0.1 -> 0.1 |
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249 dqmxg436 maxmag 0.100 0.10 -> 0.10 |
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250 dqmxg437 maxmag 0 0.10 -> 0.10 |
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251 dqmxg438 maxmag 0.0 0 -> 0 |
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252 dqmxg439 maxmag -0 0.0 -> 0.0 |
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253 dqmxg440 maxmag -0.0 0.0 -> 0.0 |
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254 dqmxg441 maxmag -0.0 0.00 -> 0.00 |
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255 dqmxg442 maxmag -0.00 0.0 -> 0.0 |
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256 dqmxg443 maxmag -0.0 0 -> 0 |
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257 dqmxg444 maxmag -0 0 -> 0 |
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258 dqmxg445 maxmag -0 -0.0 -> -0.0 |
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259 dqmxg446 maxmag -0.100 -0 -> -0.100 |
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260 dqmxg447 maxmag -0.10 -0.100 -> -0.100 |
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261 dqmxg448 maxmag -0.1 -0.10 -> -0.10 |
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262 dqmxg449 maxmag -1.0 -0.1 -> -1.0 |
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263 dqmxg450 maxmag -1 -1.0 -> -1.0 |
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264 dqmxg451 maxmag -1.1 -1 -> -1.1 |
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265 dqmxg453 maxmag -Inf -1.1 -> -Infinity |
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266 -- largies |
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267 dqmxg460 maxmag 1000 1E+3 -> 1E+3 |
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268 dqmxg461 maxmag 1E+3 1000 -> 1E+3 |
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269 dqmxg462 maxmag 1000 -1E+3 -> 1000 |
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270 dqmxg463 maxmag 1E+3 -1000 -> 1E+3 |
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271 dqmxg464 maxmag -1000 1E+3 -> 1E+3 |
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272 dqmxg465 maxmag -1E+3 1000 -> 1000 |
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273 dqmxg466 maxmag -1000 -1E+3 -> -1000 |
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274 dqmxg467 maxmag -1E+3 -1000 -> -1000 |
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275 |
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276 -- subnormals |
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277 dqmxg510 maxmag 1.00E-6143 0 -> 1.00E-6143 |
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278 dqmxg511 maxmag 0.1E-6143 0 -> 1E-6144 Subnormal |
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279 dqmxg512 maxmag 0.10E-6143 0 -> 1.0E-6144 Subnormal |
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280 dqmxg513 maxmag 0.100E-6143 0 -> 1.00E-6144 Subnormal |
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281 dqmxg514 maxmag 0.01E-6143 0 -> 1E-6145 Subnormal |
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282 dqmxg515 maxmag 0.999E-6143 0 -> 9.99E-6144 Subnormal |
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283 dqmxg516 maxmag 0.099E-6143 0 -> 9.9E-6145 Subnormal |
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284 dqmxg517 maxmag 0.009E-6143 0 -> 9E-6146 Subnormal |
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285 dqmxg518 maxmag 0.001E-6143 0 -> 1E-6146 Subnormal |
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286 dqmxg519 maxmag 0.0009E-6143 0 -> 9E-6147 Subnormal |
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287 dqmxg520 maxmag 0.0001E-6143 0 -> 1E-6147 Subnormal |
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288 |
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289 dqmxg530 maxmag -1.00E-6143 0 -> -1.00E-6143 |
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290 dqmxg531 maxmag -0.1E-6143 0 -> -1E-6144 Subnormal |
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291 dqmxg532 maxmag -0.10E-6143 0 -> -1.0E-6144 Subnormal |
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292 dqmxg533 maxmag -0.100E-6143 0 -> -1.00E-6144 Subnormal |
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293 dqmxg534 maxmag -0.01E-6143 0 -> -1E-6145 Subnormal |
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294 dqmxg535 maxmag -0.999E-6143 0 -> -9.99E-6144 Subnormal |
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295 dqmxg536 maxmag -0.099E-6143 0 -> -9.9E-6145 Subnormal |
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296 dqmxg537 maxmag -0.009E-6143 0 -> -9E-6146 Subnormal |
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297 dqmxg538 maxmag -0.001E-6143 0 -> -1E-6146 Subnormal |
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298 dqmxg539 maxmag -0.0009E-6143 0 -> -9E-6147 Subnormal |
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299 dqmxg540 maxmag -0.0001E-6143 0 -> -1E-6147 Subnormal |
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300 |
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301 -- Null tests |
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302 dqmxg900 maxmag 10 # -> NaN Invalid_operation |
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303 dqmxg901 maxmag # 10 -> NaN Invalid_operation |
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304 |