1 | ------------------------------------------------------------------------
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2 | -- ddMin.decTest -- decDouble minnum --
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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 | precision: 16
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25 | maxExponent: 384
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26 | minExponent: -383
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27 | extended: 1
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28 | clamp: 1
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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 | ddmin001 min -2 -2 -> -2
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33 | ddmin002 min -2 -1 -> -2
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34 | ddmin003 min -2 0 -> -2
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35 | ddmin004 min -2 1 -> -2
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36 | ddmin005 min -2 2 -> -2
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37 | ddmin006 min -1 -2 -> -2
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38 | ddmin007 min -1 -1 -> -1
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39 | ddmin008 min -1 0 -> -1
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40 | ddmin009 min -1 1 -> -1
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41 | ddmin010 min -1 2 -> -1
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42 | ddmin011 min 0 -2 -> -2
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43 | ddmin012 min 0 -1 -> -1
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44 | ddmin013 min 0 0 -> 0
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45 | ddmin014 min 0 1 -> 0
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46 | ddmin015 min 0 2 -> 0
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47 | ddmin016 min 1 -2 -> -2
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48 | ddmin017 min 1 -1 -> -1
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49 | ddmin018 min 1 0 -> 0
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50 | ddmin019 min 1 1 -> 1
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51 | ddmin020 min 1 2 -> 1
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52 | ddmin021 min 2 -2 -> -2
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53 | ddmin022 min 2 -1 -> -1
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54 | ddmin023 min 2 0 -> 0
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55 | ddmin025 min 2 1 -> 1
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56 | ddmin026 min 2 2 -> 2
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57 |
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58 | -- extended zeros
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59 | ddmin030 min 0 0 -> 0
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60 | ddmin031 min 0 -0 -> -0
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61 | ddmin032 min 0 -0.0 -> -0.0
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62 | ddmin033 min 0 0.0 -> 0.0
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63 | ddmin034 min -0 0 -> -0
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64 | ddmin035 min -0 -0 -> -0
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65 | ddmin036 min -0 -0.0 -> -0
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66 | ddmin037 min -0 0.0 -> -0
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67 | ddmin038 min 0.0 0 -> 0.0
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68 | ddmin039 min 0.0 -0 -> -0
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69 | ddmin040 min 0.0 -0.0 -> -0.0
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70 | ddmin041 min 0.0 0.0 -> 0.0
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71 | ddmin042 min -0.0 0 -> -0.0
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72 | ddmin043 min -0.0 -0 -> -0
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73 | ddmin044 min -0.0 -0.0 -> -0.0
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74 | ddmin045 min -0.0 0.0 -> -0.0
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75 |
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76 | ddmin046 min 0E1 -0E1 -> -0E+1
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77 | ddmin047 min -0E1 0E2 -> -0E+1
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78 | ddmin048 min 0E2 0E1 -> 0E+1
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79 | ddmin049 min 0E1 0E2 -> 0E+1
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80 | ddmin050 min -0E3 -0E2 -> -0E+3
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81 | ddmin051 min -0E2 -0E3 -> -0E+3
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82 |
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83 | -- Specials
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84 | ddmin090 min Inf -Inf -> -Infinity
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85 | ddmin091 min Inf -1000 -> -1000
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86 | ddmin092 min Inf -1 -> -1
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87 | ddmin093 min Inf -0 -> -0
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88 | ddmin094 min Inf 0 -> 0
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89 | ddmin095 min Inf 1 -> 1
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90 | ddmin096 min Inf 1000 -> 1000
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91 | ddmin097 min Inf Inf -> Infinity
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92 | ddmin098 min -1000 Inf -> -1000
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93 | ddmin099 min -Inf Inf -> -Infinity
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94 | ddmin100 min -1 Inf -> -1
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95 | ddmin101 min -0 Inf -> -0
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96 | ddmin102 min 0 Inf -> 0
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97 | ddmin103 min 1 Inf -> 1
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98 | ddmin104 min 1000 Inf -> 1000
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99 | ddmin105 min Inf Inf -> Infinity
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100 |
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101 | ddmin120 min -Inf -Inf -> -Infinity
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102 | ddmin121 min -Inf -1000 -> -Infinity
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103 | ddmin122 min -Inf -1 -> -Infinity
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104 | ddmin123 min -Inf -0 -> -Infinity
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105 | ddmin124 min -Inf 0 -> -Infinity
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106 | ddmin125 min -Inf 1 -> -Infinity
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107 | ddmin126 min -Inf 1000 -> -Infinity
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108 | ddmin127 min -Inf Inf -> -Infinity
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109 | ddmin128 min -Inf -Inf -> -Infinity
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110 | ddmin129 min -1000 -Inf -> -Infinity
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111 | ddmin130 min -1 -Inf -> -Infinity
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112 | ddmin131 min -0 -Inf -> -Infinity
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113 | ddmin132 min 0 -Inf -> -Infinity
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114 | ddmin133 min 1 -Inf -> -Infinity
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115 | ddmin134 min 1000 -Inf -> -Infinity
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116 | ddmin135 min Inf -Inf -> -Infinity
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117 |
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118 | -- 2004.08.02 754r chooses number over NaN in mixed cases
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119 | ddmin141 min NaN -Inf -> -Infinity
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120 | ddmin142 min NaN -1000 -> -1000
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121 | ddmin143 min NaN -1 -> -1
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122 | ddmin144 min NaN -0 -> -0
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123 | ddmin145 min NaN 0 -> 0
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124 | ddmin146 min NaN 1 -> 1
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125 | ddmin147 min NaN 1000 -> 1000
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126 | ddmin148 min NaN Inf -> Infinity
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127 | ddmin149 min NaN NaN -> NaN
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128 | ddmin150 min -Inf NaN -> -Infinity
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129 | ddmin151 min -1000 NaN -> -1000
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130 | ddmin152 min -1 -NaN -> -1
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131 | ddmin153 min -0 NaN -> -0
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132 | ddmin154 min 0 -NaN -> 0
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133 | ddmin155 min 1 NaN -> 1
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134 | ddmin156 min 1000 NaN -> 1000
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135 | ddmin157 min Inf NaN -> Infinity
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136 |
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137 | ddmin161 min sNaN -Inf -> NaN Invalid_operation
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138 | ddmin162 min sNaN -1000 -> NaN Invalid_operation
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139 | ddmin163 min sNaN -1 -> NaN Invalid_operation
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140 | ddmin164 min sNaN -0 -> NaN Invalid_operation
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141 | ddmin165 min -sNaN 0 -> -NaN Invalid_operation
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142 | ddmin166 min -sNaN 1 -> -NaN Invalid_operation
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143 | ddmin167 min sNaN 1000 -> NaN Invalid_operation
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144 | ddmin168 min sNaN NaN -> NaN Invalid_operation
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145 | ddmin169 min sNaN sNaN -> NaN Invalid_operation
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146 | ddmin170 min NaN sNaN -> NaN Invalid_operation
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147 | ddmin171 min -Inf sNaN -> NaN Invalid_operation
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148 | ddmin172 min -1000 sNaN -> NaN Invalid_operation
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149 | ddmin173 min -1 sNaN -> NaN Invalid_operation
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150 | ddmin174 min -0 sNaN -> NaN Invalid_operation
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151 | ddmin175 min 0 sNaN -> NaN Invalid_operation
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152 | ddmin176 min 1 sNaN -> NaN Invalid_operation
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153 | ddmin177 min 1000 sNaN -> NaN Invalid_operation
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154 | ddmin178 min Inf sNaN -> NaN Invalid_operation
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155 | ddmin179 min NaN sNaN -> NaN Invalid_operation
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156 |
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157 | -- propagating NaNs
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158 | ddmin181 min NaN9 -Inf -> -Infinity
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159 | ddmin182 min -NaN8 9990 -> 9990
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160 | ddmin183 min NaN71 Inf -> Infinity
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161 |
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162 | ddmin184 min NaN1 NaN54 -> NaN1
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163 | ddmin185 min NaN22 -NaN53 -> NaN22
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164 | ddmin186 min -NaN3 NaN6 -> -NaN3
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165 | ddmin187 min -NaN44 NaN7 -> -NaN44
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166 |
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167 | ddmin188 min -Inf NaN41 -> -Infinity
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168 | ddmin189 min -9999 -NaN33 -> -9999
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169 | ddmin190 min Inf NaN2 -> Infinity
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170 |
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171 | ddmin191 min sNaN99 -Inf -> NaN99 Invalid_operation
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172 | ddmin192 min sNaN98 -11 -> NaN98 Invalid_operation
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173 | ddmin193 min -sNaN97 NaN8 -> -NaN97 Invalid_operation
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174 | ddmin194 min sNaN69 sNaN94 -> NaN69 Invalid_operation
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175 | ddmin195 min NaN95 sNaN93 -> NaN93 Invalid_operation
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176 | ddmin196 min -Inf sNaN92 -> NaN92 Invalid_operation
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177 | ddmin197 min 088 sNaN91 -> NaN91 Invalid_operation
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178 | ddmin198 min Inf -sNaN90 -> -NaN90 Invalid_operation
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179 | ddmin199 min NaN sNaN86 -> NaN86 Invalid_operation
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180 |
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181 | -- old rounding checks
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182 | ddmin221 min -12345678000 1 -> -12345678000
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183 | ddmin222 min 1 -12345678000 -> -12345678000
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184 | ddmin223 min -1234567800 1 -> -1234567800
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185 | ddmin224 min 1 -1234567800 -> -1234567800
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186 | ddmin225 min -1234567890 1 -> -1234567890
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187 | ddmin226 min 1 -1234567890 -> -1234567890
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188 | ddmin227 min -1234567891 1 -> -1234567891
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189 | ddmin228 min 1 -1234567891 -> -1234567891
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190 | ddmin229 min -12345678901 1 -> -12345678901
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191 | ddmin230 min 1 -12345678901 -> -12345678901
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192 | ddmin231 min -1234567896 1 -> -1234567896
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193 | ddmin232 min 1 -1234567896 -> -1234567896
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194 | ddmin233 min 1234567891 1 -> 1
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195 | ddmin234 min 1 1234567891 -> 1
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196 | ddmin235 min 12345678901 1 -> 1
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197 | ddmin236 min 1 12345678901 -> 1
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198 | ddmin237 min 1234567896 1 -> 1
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199 | ddmin238 min 1 1234567896 -> 1
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200 |
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201 | -- from examples
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202 | ddmin280 min '3' '2' -> '2'
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203 | ddmin281 min '-10' '3' -> '-10'
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204 | ddmin282 min '1.0' '1' -> '1.0'
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205 | ddmin283 min '1' '1.0' -> '1.0'
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206 | ddmin284 min '7' 'NaN' -> '7'
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207 |
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208 | -- expanded list from min/max 754r purple prose
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209 | -- [explicit tests for exponent ordering]
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210 | ddmin401 min Inf 1.1 -> 1.1
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211 | ddmin402 min 1.1 1 -> 1
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212 | ddmin403 min 1 1.0 -> 1.0
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213 | ddmin404 min 1.0 0.1 -> 0.1
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214 | ddmin405 min 0.1 0.10 -> 0.10
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215 | ddmin406 min 0.10 0.100 -> 0.100
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216 | ddmin407 min 0.10 0 -> 0
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217 | ddmin408 min 0 0.0 -> 0.0
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218 | ddmin409 min 0.0 -0 -> -0
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219 | ddmin410 min 0.0 -0.0 -> -0.0
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220 | ddmin411 min 0.00 -0.0 -> -0.0
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221 | ddmin412 min 0.0 -0.00 -> -0.00
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222 | ddmin413 min 0 -0.0 -> -0.0
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223 | ddmin414 min 0 -0 -> -0
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224 | ddmin415 min -0.0 -0 -> -0
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225 | ddmin416 min -0 -0.100 -> -0.100
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226 | ddmin417 min -0.100 -0.10 -> -0.10
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227 | ddmin418 min -0.10 -0.1 -> -0.1
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228 | ddmin419 min -0.1 -1.0 -> -1.0
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229 | ddmin420 min -1.0 -1 -> -1
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230 | ddmin421 min -1 -1.1 -> -1.1
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231 | ddmin423 min -1.1 -Inf -> -Infinity
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232 | -- same with operands reversed
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233 | ddmin431 min 1.1 Inf -> 1.1
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234 | ddmin432 min 1 1.1 -> 1
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235 | ddmin433 min 1.0 1 -> 1.0
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236 | ddmin434 min 0.1 1.0 -> 0.1
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237 | ddmin435 min 0.10 0.1 -> 0.10
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238 | ddmin436 min 0.100 0.10 -> 0.100
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239 | ddmin437 min 0 0.10 -> 0
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240 | ddmin438 min 0.0 0 -> 0.0
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241 | ddmin439 min -0 0.0 -> -0
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242 | ddmin440 min -0.0 0.0 -> -0.0
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243 | ddmin441 min -0.0 0.00 -> -0.0
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244 | ddmin442 min -0.00 0.0 -> -0.00
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245 | ddmin443 min -0.0 0 -> -0.0
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246 | ddmin444 min -0 0 -> -0
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247 | ddmin445 min -0 -0.0 -> -0
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248 | ddmin446 min -0.100 -0 -> -0.100
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249 | ddmin447 min -0.10 -0.100 -> -0.10
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250 | ddmin448 min -0.1 -0.10 -> -0.1
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251 | ddmin449 min -1.0 -0.1 -> -1.0
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252 | ddmin450 min -1 -1.0 -> -1
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253 | ddmin451 min -1.1 -1 -> -1.1
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254 | ddmin453 min -Inf -1.1 -> -Infinity
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255 | -- largies
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256 | ddmin460 min 1000 1E+3 -> 1000
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257 | ddmin461 min 1E+3 1000 -> 1000
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258 | ddmin462 min 1000 -1E+3 -> -1E+3
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259 | ddmin463 min 1E+3 -384 -> -384
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260 | ddmin464 min -384 1E+3 -> -384
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261 | ddmin465 min -1E+3 1000 -> -1E+3
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262 | ddmin466 min -384 -1E+3 -> -1E+3
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263 | ddmin467 min -1E+3 -384 -> -1E+3
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264 |
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265 | -- misalignment traps for little-endian
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266 | ddmin471 min 1.0 0.1 -> 0.1
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267 | ddmin472 min 0.1 1.0 -> 0.1
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268 | ddmin473 min 10.0 0.1 -> 0.1
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269 | ddmin474 min 0.1 10.0 -> 0.1
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270 | ddmin475 min 100 1.0 -> 1.0
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271 | ddmin476 min 1.0 100 -> 1.0
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272 | ddmin477 min 1000 10.0 -> 10.0
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273 | ddmin478 min 10.0 1000 -> 10.0
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274 | ddmin479 min 10000 100.0 -> 100.0
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275 | ddmin480 min 100.0 10000 -> 100.0
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276 | ddmin481 min 100000 1000.0 -> 1000.0
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277 | ddmin482 min 1000.0 100000 -> 1000.0
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278 | ddmin483 min 1000000 10000.0 -> 10000.0
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279 | ddmin484 min 10000.0 1000000 -> 10000.0
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280 |
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281 | -- subnormals
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282 | ddmin510 min 1.00E-383 0 -> 0
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283 | ddmin511 min 0.1E-383 0 -> 0
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284 | ddmin512 min 0.10E-383 0 -> 0
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285 | ddmin513 min 0.100E-383 0 -> 0
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286 | ddmin514 min 0.01E-383 0 -> 0
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287 | ddmin515 min 0.999E-383 0 -> 0
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288 | ddmin516 min 0.099E-383 0 -> 0
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289 | ddmin517 min 0.009E-383 0 -> 0
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290 | ddmin518 min 0.001E-383 0 -> 0
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291 | ddmin519 min 0.0009E-383 0 -> 0
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292 | ddmin520 min 0.0001E-383 0 -> 0
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293 |
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294 | ddmin530 min -1.00E-383 0 -> -1.00E-383
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295 | ddmin531 min -0.1E-383 0 -> -1E-384 Subnormal
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296 | ddmin532 min -0.10E-383 0 -> -1.0E-384 Subnormal
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297 | ddmin533 min -0.100E-383 0 -> -1.00E-384 Subnormal
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298 | ddmin534 min -0.01E-383 0 -> -1E-385 Subnormal
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299 | ddmin535 min -0.999E-383 0 -> -9.99E-384 Subnormal
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300 | ddmin536 min -0.099E-383 0 -> -9.9E-385 Subnormal
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301 | ddmin537 min -0.009E-383 0 -> -9E-386 Subnormal
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302 | ddmin538 min -0.001E-383 0 -> -1E-386 Subnormal
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303 | ddmin539 min -0.0009E-383 0 -> -9E-387 Subnormal
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304 | ddmin540 min -0.0001E-383 0 -> -1E-387 Subnormal
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305 |
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306 |
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307 | -- Null tests
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308 | ddmin900 min 10 # -> NaN Invalid_operation
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309 | ddmin901 min # 10 -> NaN Invalid_operation
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