1 | ------------------------------------------------------------------------
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2 | -- max.decTest -- decimal maximum --
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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: 2.59
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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 |
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25 | extended: 1
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26 | precision: 9
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27 | rounding: half_up
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28 | maxExponent: 384
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29 | minexponent: -383
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30 |
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31 | -- sanity checks
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32 | maxx001 max -2 -2 -> -2
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33 | maxx002 max -2 -1 -> -1
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34 | maxx003 max -2 0 -> 0
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35 | maxx004 max -2 1 -> 1
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36 | maxx005 max -2 2 -> 2
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37 | maxx006 max -1 -2 -> -1
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38 | maxx007 max -1 -1 -> -1
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39 | maxx008 max -1 0 -> 0
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40 | maxx009 max -1 1 -> 1
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41 | maxx010 max -1 2 -> 2
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42 | maxx011 max 0 -2 -> 0
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43 | maxx012 max 0 -1 -> 0
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44 | maxx013 max 0 0 -> 0
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45 | maxx014 max 0 1 -> 1
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46 | maxx015 max 0 2 -> 2
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47 | maxx016 max 1 -2 -> 1
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48 | maxx017 max 1 -1 -> 1
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49 | maxx018 max 1 0 -> 1
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50 | maxx019 max 1 1 -> 1
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51 | maxx020 max 1 2 -> 2
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52 | maxx021 max 2 -2 -> 2
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53 | maxx022 max 2 -1 -> 2
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54 | maxx023 max 2 0 -> 2
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55 | maxx025 max 2 1 -> 2
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56 | maxx026 max 2 2 -> 2
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57 |
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58 | -- extended zeros
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59 | maxx030 max 0 0 -> 0
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60 | maxx031 max 0 -0 -> 0
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61 | maxx032 max 0 -0.0 -> 0
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62 | maxx033 max 0 0.0 -> 0
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63 | maxx034 max -0 0 -> 0 -- note: -0 = 0, but 0 chosen
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64 | maxx035 max -0 -0 -> -0
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65 | maxx036 max -0 -0.0 -> -0.0
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66 | maxx037 max -0 0.0 -> 0.0
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67 | maxx038 max 0.0 0 -> 0
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68 | maxx039 max 0.0 -0 -> 0.0
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69 | maxx040 max 0.0 -0.0 -> 0.0
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70 | maxx041 max 0.0 0.0 -> 0.0
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71 | maxx042 max -0.0 0 -> 0
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72 | maxx043 max -0.0 -0 -> -0.0
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73 | maxx044 max -0.0 -0.0 -> -0.0
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74 | maxx045 max -0.0 0.0 -> 0.0
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75 |
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76 | maxx050 max -0E1 0E1 -> 0E+1
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77 | maxx051 max -0E2 0E2 -> 0E+2
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78 | maxx052 max -0E2 0E1 -> 0E+1
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79 | maxx053 max -0E1 0E2 -> 0E+2
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80 | maxx054 max 0E1 -0E1 -> 0E+1
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81 | maxx055 max 0E2 -0E2 -> 0E+2
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82 | maxx056 max 0E2 -0E1 -> 0E+2
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83 | maxx057 max 0E1 -0E2 -> 0E+1
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84 |
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85 | maxx058 max 0E1 0E1 -> 0E+1
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86 | maxx059 max 0E2 0E2 -> 0E+2
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87 | maxx060 max 0E2 0E1 -> 0E+2
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88 | maxx061 max 0E1 0E2 -> 0E+2
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89 | maxx062 max -0E1 -0E1 -> -0E+1
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90 | maxx063 max -0E2 -0E2 -> -0E+2
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91 | maxx064 max -0E2 -0E1 -> -0E+1
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92 | maxx065 max -0E1 -0E2 -> -0E+1
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93 |
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94 | -- Specials
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95 | precision: 9
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96 | maxx090 max Inf -Inf -> Infinity
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97 | maxx091 max Inf -1000 -> Infinity
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98 | maxx092 max Inf -1 -> Infinity
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99 | maxx093 max Inf -0 -> Infinity
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100 | maxx094 max Inf 0 -> Infinity
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101 | maxx095 max Inf 1 -> Infinity
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102 | maxx096 max Inf 1000 -> Infinity
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103 | maxx097 max Inf Inf -> Infinity
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104 | maxx098 max -1000 Inf -> Infinity
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105 | maxx099 max -Inf Inf -> Infinity
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106 | maxx100 max -1 Inf -> Infinity
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107 | maxx101 max -0 Inf -> Infinity
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108 | maxx102 max 0 Inf -> Infinity
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109 | maxx103 max 1 Inf -> Infinity
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110 | maxx104 max 1000 Inf -> Infinity
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111 | maxx105 max Inf Inf -> Infinity
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112 |
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113 | maxx120 max -Inf -Inf -> -Infinity
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114 | maxx121 max -Inf -1000 -> -1000
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115 | maxx122 max -Inf -1 -> -1
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116 | maxx123 max -Inf -0 -> -0
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117 | maxx124 max -Inf 0 -> 0
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118 | maxx125 max -Inf 1 -> 1
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119 | maxx126 max -Inf 1000 -> 1000
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120 | maxx127 max -Inf Inf -> Infinity
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121 | maxx128 max -Inf -Inf -> -Infinity
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122 | maxx129 max -1000 -Inf -> -1000
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123 | maxx130 max -1 -Inf -> -1
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124 | maxx131 max -0 -Inf -> -0
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125 | maxx132 max 0 -Inf -> 0
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126 | maxx133 max 1 -Inf -> 1
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127 | maxx134 max 1000 -Inf -> 1000
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128 | maxx135 max Inf -Inf -> Infinity
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129 |
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130 | -- 2004.08.02 754r chooses number over NaN in mixed cases
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131 | maxx141 max NaN -Inf -> -Infinity
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132 | maxx142 max NaN -1000 -> -1000
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133 | maxx143 max NaN -1 -> -1
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134 | maxx144 max NaN -0 -> -0
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135 | maxx145 max NaN 0 -> 0
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136 | maxx146 max NaN 1 -> 1
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137 | maxx147 max NaN 1000 -> 1000
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138 | maxx148 max NaN Inf -> Infinity
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139 | maxx149 max NaN NaN -> NaN
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140 | maxx150 max -Inf NaN -> -Infinity
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141 | maxx151 max -1000 NaN -> -1000
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142 | maxx152 max -1 NaN -> -1
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143 | maxx153 max -0 NaN -> -0
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144 | maxx154 max 0 NaN -> 0
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145 | maxx155 max 1 NaN -> 1
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146 | maxx156 max 1000 NaN -> 1000
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147 | maxx157 max Inf NaN -> Infinity
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148 |
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149 | maxx161 max sNaN -Inf -> NaN Invalid_operation
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150 | maxx162 max sNaN -1000 -> NaN Invalid_operation
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151 | maxx163 max sNaN -1 -> NaN Invalid_operation
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152 | maxx164 max sNaN -0 -> NaN Invalid_operation
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153 | maxx165 max sNaN 0 -> NaN Invalid_operation
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154 | maxx166 max sNaN 1 -> NaN Invalid_operation
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155 | maxx167 max sNaN 1000 -> NaN Invalid_operation
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156 | maxx168 max sNaN NaN -> NaN Invalid_operation
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157 | maxx169 max sNaN sNaN -> NaN Invalid_operation
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158 | maxx170 max NaN sNaN -> NaN Invalid_operation
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159 | maxx171 max -Inf sNaN -> NaN Invalid_operation
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160 | maxx172 max -1000 sNaN -> NaN Invalid_operation
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161 | maxx173 max -1 sNaN -> NaN Invalid_operation
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162 | maxx174 max -0 sNaN -> NaN Invalid_operation
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163 | maxx175 max 0 sNaN -> NaN Invalid_operation
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164 | maxx176 max 1 sNaN -> NaN Invalid_operation
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165 | maxx177 max 1000 sNaN -> NaN Invalid_operation
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166 | maxx178 max Inf sNaN -> NaN Invalid_operation
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167 | maxx179 max NaN sNaN -> NaN Invalid_operation
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168 |
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169 | -- propagating NaNs
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170 | maxx181 max NaN9 -Inf -> -Infinity
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171 | maxx182 max NaN8 9 -> 9
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172 | maxx183 max -NaN7 Inf -> Infinity
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173 |
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174 | maxx184 max -NaN1 NaN11 -> -NaN1
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175 | maxx185 max NaN2 NaN12 -> NaN2
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176 | maxx186 max -NaN13 -NaN7 -> -NaN13
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177 | maxx187 max NaN14 -NaN5 -> NaN14
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178 |
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179 | maxx188 max -Inf NaN4 -> -Infinity
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180 | maxx189 max -9 -NaN3 -> -9
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181 | maxx190 max Inf NaN2 -> Infinity
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182 |
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183 | maxx191 max sNaN99 -Inf -> NaN99 Invalid_operation
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184 | maxx192 max sNaN98 -1 -> NaN98 Invalid_operation
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185 | maxx193 max -sNaN97 NaN -> -NaN97 Invalid_operation
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186 | maxx194 max sNaN96 sNaN94 -> NaN96 Invalid_operation
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187 | maxx195 max NaN95 sNaN93 -> NaN93 Invalid_operation
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188 | maxx196 max -Inf sNaN92 -> NaN92 Invalid_operation
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189 | maxx197 max 0 sNaN91 -> NaN91 Invalid_operation
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190 | maxx198 max Inf -sNaN90 -> -NaN90 Invalid_operation
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191 | maxx199 max NaN sNaN89 -> NaN89 Invalid_operation
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192 |
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193 | -- rounding checks
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194 | maxexponent: 999
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195 | minexponent: -999
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196 | precision: 9
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197 | maxx201 max 12345678000 1 -> 1.23456780E+10 Rounded
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198 | maxx202 max 1 12345678000 -> 1.23456780E+10 Rounded
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199 | maxx203 max 1234567800 1 -> 1.23456780E+9 Rounded
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200 | maxx204 max 1 1234567800 -> 1.23456780E+9 Rounded
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201 | maxx205 max 1234567890 1 -> 1.23456789E+9 Rounded
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202 | maxx206 max 1 1234567890 -> 1.23456789E+9 Rounded
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203 | maxx207 max 1234567891 1 -> 1.23456789E+9 Inexact Rounded
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204 | maxx208 max 1 1234567891 -> 1.23456789E+9 Inexact Rounded
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205 | maxx209 max 12345678901 1 -> 1.23456789E+10 Inexact Rounded
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206 | maxx210 max 1 12345678901 -> 1.23456789E+10 Inexact Rounded
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207 | maxx211 max 1234567896 1 -> 1.23456790E+9 Inexact Rounded
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208 | maxx212 max 1 1234567896 -> 1.23456790E+9 Inexact Rounded
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209 | maxx213 max -1234567891 1 -> 1
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210 | maxx214 max 1 -1234567891 -> 1
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211 | maxx215 max -12345678901 1 -> 1
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212 | maxx216 max 1 -12345678901 -> 1
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213 | maxx217 max -1234567896 1 -> 1
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214 | maxx218 max 1 -1234567896 -> 1
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215 |
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216 | precision: 15
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217 | maxx221 max 12345678000 1 -> 12345678000
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218 | maxx222 max 1 12345678000 -> 12345678000
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219 | maxx223 max 1234567800 1 -> 1234567800
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220 | maxx224 max 1 1234567800 -> 1234567800
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221 | maxx225 max 1234567890 1 -> 1234567890
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222 | maxx226 max 1 1234567890 -> 1234567890
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223 | maxx227 max 1234567891 1 -> 1234567891
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224 | maxx228 max 1 1234567891 -> 1234567891
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225 | maxx229 max 12345678901 1 -> 12345678901
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226 | maxx230 max 1 12345678901 -> 12345678901
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227 | maxx231 max 1234567896 1 -> 1234567896
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228 | maxx232 max 1 1234567896 -> 1234567896
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229 | maxx233 max -1234567891 1 -> 1
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230 | maxx234 max 1 -1234567891 -> 1
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231 | maxx235 max -12345678901 1 -> 1
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232 | maxx236 max 1 -12345678901 -> 1
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233 | maxx237 max -1234567896 1 -> 1
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234 | maxx238 max 1 -1234567896 -> 1
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235 |
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236 | -- from examples
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237 | maxx280 max '3' '2' -> '3'
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238 | maxx281 max '-10' '3' -> '3'
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239 | maxx282 max '1.0' '1' -> '1'
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240 | maxx283 max '1' '1.0' -> '1'
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241 | maxx284 max '7' 'NaN' -> '7'
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242 |
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243 | -- overflow and underflow tests ...
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244 | maxExponent: 999999999
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245 | minexponent: -999999999
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246 | maxx330 max +1.23456789012345E-0 9E+999999999 -> 9E+999999999
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247 | maxx331 max 9E+999999999 +1.23456789012345E-0 -> 9E+999999999
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248 | maxx332 max +0.100 9E-999999999 -> 0.100
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249 | maxx333 max 9E-999999999 +0.100 -> 0.100
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250 | maxx335 max -1.23456789012345E-0 9E+999999999 -> 9E+999999999
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251 | maxx336 max 9E+999999999 -1.23456789012345E-0 -> 9E+999999999
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252 | maxx337 max -0.100 9E-999999999 -> 9E-999999999
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253 | maxx338 max 9E-999999999 -0.100 -> 9E-999999999
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254 |
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255 | maxx339 max 1e-599999999 1e-400000001 -> 1E-400000001
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256 | maxx340 max 1e-599999999 1e-400000000 -> 1E-400000000
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257 | maxx341 max 1e-600000000 1e-400000000 -> 1E-400000000
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258 | maxx342 max 9e-999999998 0.01 -> 0.01
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259 | maxx343 max 9e-999999998 0.1 -> 0.1
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260 | maxx344 max 0.01 9e-999999998 -> 0.01
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261 | maxx345 max 1e599999999 1e400000001 -> 1E+599999999
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262 | maxx346 max 1e599999999 1e400000000 -> 1E+599999999
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263 | maxx347 max 1e600000000 1e400000000 -> 1E+600000000
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264 | maxx348 max 9e999999998 100 -> 9E+999999998
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265 | maxx349 max 9e999999998 10 -> 9E+999999998
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266 | maxx350 max 100 9e999999998 -> 9E+999999998
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267 | -- signs
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268 | maxx351 max 1e+777777777 1e+411111111 -> 1E+777777777
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269 | maxx352 max 1e+777777777 -1e+411111111 -> 1E+777777777
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270 | maxx353 max -1e+777777777 1e+411111111 -> 1E+411111111
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271 | maxx354 max -1e+777777777 -1e+411111111 -> -1E+411111111
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272 | maxx355 max 1e-777777777 1e-411111111 -> 1E-411111111
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273 | maxx356 max 1e-777777777 -1e-411111111 -> 1E-777777777
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274 | maxx357 max -1e-777777777 1e-411111111 -> 1E-411111111
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275 | maxx358 max -1e-777777777 -1e-411111111 -> -1E-777777777
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276 |
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277 | -- expanded list from min/max 754r purple prose
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278 | -- [explicit tests for exponent ordering]
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279 | maxx401 max Inf 1.1 -> Infinity
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280 | maxx402 max 1.1 1 -> 1.1
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281 | maxx403 max 1 1.0 -> 1
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282 | maxx404 max 1.0 0.1 -> 1.0
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283 | maxx405 max 0.1 0.10 -> 0.1
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284 | maxx406 max 0.10 0.100 -> 0.10
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285 | maxx407 max 0.10 0 -> 0.10
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286 | maxx408 max 0 0.0 -> 0
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287 | maxx409 max 0.0 -0 -> 0.0
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288 | maxx410 max 0.0 -0.0 -> 0.0
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289 | maxx411 max 0.00 -0.0 -> 0.00
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290 | maxx412 max 0.0 -0.00 -> 0.0
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291 | maxx413 max 0 -0.0 -> 0
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292 | maxx414 max 0 -0 -> 0
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293 | maxx415 max -0.0 -0 -> -0.0
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294 | maxx416 max -0 -0.100 -> -0
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295 | maxx417 max -0.100 -0.10 -> -0.100
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296 | maxx418 max -0.10 -0.1 -> -0.10
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297 | maxx419 max -0.1 -1.0 -> -0.1
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298 | maxx420 max -1.0 -1 -> -1.0
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299 | maxx421 max -1 -1.1 -> -1
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300 | maxx423 max -1.1 -Inf -> -1.1
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301 | -- same with operands reversed
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302 | maxx431 max 1.1 Inf -> Infinity
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303 | maxx432 max 1 1.1 -> 1.1
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304 | maxx433 max 1.0 1 -> 1
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305 | maxx434 max 0.1 1.0 -> 1.0
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306 | maxx435 max 0.10 0.1 -> 0.1
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307 | maxx436 max 0.100 0.10 -> 0.10
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308 | maxx437 max 0 0.10 -> 0.10
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309 | maxx438 max 0.0 0 -> 0
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310 | maxx439 max -0 0.0 -> 0.0
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311 | maxx440 max -0.0 0.0 -> 0.0
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312 | maxx441 max -0.0 0.00 -> 0.00
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313 | maxx442 max -0.00 0.0 -> 0.0
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314 | maxx443 max -0.0 0 -> 0
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315 | maxx444 max -0 0 -> 0
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316 | maxx445 max -0 -0.0 -> -0.0
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317 | maxx446 max -0.100 -0 -> -0
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318 | maxx447 max -0.10 -0.100 -> -0.100
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319 | maxx448 max -0.1 -0.10 -> -0.10
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320 | maxx449 max -1.0 -0.1 -> -0.1
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321 | maxx450 max -1 -1.0 -> -1.0
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322 | maxx451 max -1.1 -1 -> -1
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323 | maxx453 max -Inf -1.1 -> -1.1
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324 | -- largies
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325 | maxx460 max 1000 1E+3 -> 1E+3
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326 | maxx461 max 1E+3 1000 -> 1E+3
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327 | maxx462 max 1000 -1E+3 -> 1000
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328 | maxx463 max 1E+3 -1000 -> 1E+3
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329 | maxx464 max -1000 1E+3 -> 1E+3
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330 | maxx465 max -1E+3 1000 -> 1000
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331 | maxx466 max -1000 -1E+3 -> -1000
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332 | maxx467 max -1E+3 -1000 -> -1000
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333 |
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334 | -- rounding (results treated as though plus)
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335 | maxexponent: 999999999
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336 | minexponent: -999999999
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337 | precision: 3
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338 |
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339 | maxx470 max 1 .5 -> 1
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340 | maxx471 max 10 5 -> 10
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341 | maxx472 max 100 50 -> 100
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342 | maxx473 max 1000 500 -> 1.00E+3 Rounded
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343 | maxx474 max 10000 5000 -> 1.00E+4 Rounded
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344 | maxx475 max 6 .5 -> 6
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345 | maxx476 max 66 5 -> 66
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346 | maxx477 max 666 50 -> 666
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347 | maxx478 max 6666 500 -> 6.67E+3 Rounded Inexact
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348 | maxx479 max 66666 5000 -> 6.67E+4 Rounded Inexact
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349 | maxx480 max 33333 5000 -> 3.33E+4 Rounded Inexact
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350 | maxx481 max .5 1 -> 1
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351 | maxx482 max .5 10 -> 10
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352 | maxx483 max .5 100 -> 100
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353 | maxx484 max .5 1000 -> 1.00E+3 Rounded
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354 | maxx485 max .5 10000 -> 1.00E+4 Rounded
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355 | maxx486 max .5 6 -> 6
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356 | maxx487 max .5 66 -> 66
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357 | maxx488 max .5 666 -> 666
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358 | maxx489 max .5 6666 -> 6.67E+3 Rounded Inexact
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359 | maxx490 max .5 66666 -> 6.67E+4 Rounded Inexact
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360 | maxx491 max .5 33333 -> 3.33E+4 Rounded Inexact
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361 |
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362 | -- overflow tests
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363 | maxexponent: 999999999
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364 | minexponent: -999999999
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365 | precision: 3
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366 | maxx500 max 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
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367 | maxx501 max -9.999E+999999999 0 -> 0
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368 |
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369 | -- subnormals and underflow
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370 | precision: 3
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371 | maxexponent: 999
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372 | minexponent: -999
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373 | maxx510 max 1.00E-999 0 -> 1.00E-999
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374 | maxx511 max 0.1E-999 0 -> 1E-1000 Subnormal
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375 | maxx512 max 0.10E-999 0 -> 1.0E-1000 Subnormal
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376 | maxx513 max 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
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377 | maxx514 max 0.01E-999 0 -> 1E-1001 Subnormal
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378 | -- next is rounded to Nmin
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379 | maxx515 max 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
|
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380 | maxx516 max 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
|
---|
381 | maxx517 max 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
|
---|
382 | maxx518 max 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
383 | maxx519 max 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
384 | maxx520 max 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
385 |
|
---|
386 | maxx530 max -1.00E-999 0 -> 0
|
---|
387 | maxx531 max -0.1E-999 0 -> 0
|
---|
388 | maxx532 max -0.10E-999 0 -> 0
|
---|
389 | maxx533 max -0.100E-999 0 -> 0
|
---|
390 | maxx534 max -0.01E-999 0 -> 0
|
---|
391 | maxx535 max -0.999E-999 0 -> 0
|
---|
392 | maxx536 max -0.099E-999 0 -> 0
|
---|
393 | maxx537 max -0.009E-999 0 -> 0
|
---|
394 | maxx538 max -0.001E-999 0 -> 0
|
---|
395 | maxx539 max -0.0009E-999 0 -> 0
|
---|
396 | maxx540 max -0.0001E-999 0 -> 0
|
---|
397 |
|
---|
398 | -- misalignment traps for little-endian
|
---|
399 | precision: 9
|
---|
400 | maxx551 max 1.0 0.1 -> 1.0
|
---|
401 | maxx552 max 0.1 1.0 -> 1.0
|
---|
402 | maxx553 max 10.0 0.1 -> 10.0
|
---|
403 | maxx554 max 0.1 10.0 -> 10.0
|
---|
404 | maxx555 max 100 1.0 -> 100
|
---|
405 | maxx556 max 1.0 100 -> 100
|
---|
406 | maxx557 max 1000 10.0 -> 1000
|
---|
407 | maxx558 max 10.0 1000 -> 1000
|
---|
408 | maxx559 max 10000 100.0 -> 10000
|
---|
409 | maxx560 max 100.0 10000 -> 10000
|
---|
410 | maxx661 max 100000 1000.0 -> 100000
|
---|
411 | maxx662 max 1000.0 100000 -> 100000
|
---|
412 | maxx663 max 1000000 10000.0 -> 1000000
|
---|
413 | maxx664 max 10000.0 1000000 -> 1000000
|
---|
414 |
|
---|
415 | -- payload decapitate
|
---|
416 | precision: 5
|
---|
417 | maxx670 max 11 -sNaN12345678901 -> -NaN78901 Invalid_operation
|
---|
418 |
|
---|
419 | -- Null tests
|
---|
420 | maxx900 max 10 # -> NaN Invalid_operation
|
---|
421 | maxx901 max # 10 -> NaN Invalid_operation
|
---|
422 |
|
---|
423 |
|
---|
424 |
|
---|