1 | ------------------------------------------------------------------------
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2 | -- min.decTest -- decimal minimum --
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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 | mnmx001 min -2 -2 -> -2
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33 | mnmx002 min -2 -1 -> -2
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34 | mnmx003 min -2 0 -> -2
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35 | mnmx004 min -2 1 -> -2
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36 | mnmx005 min -2 2 -> -2
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37 | mnmx006 min -1 -2 -> -2
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38 | mnmx007 min -1 -1 -> -1
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39 | mnmx008 min -1 0 -> -1
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40 | mnmx009 min -1 1 -> -1
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41 | mnmx010 min -1 2 -> -1
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42 | mnmx011 min 0 -2 -> -2
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43 | mnmx012 min 0 -1 -> -1
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44 | mnmx013 min 0 0 -> 0
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45 | mnmx014 min 0 1 -> 0
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46 | mnmx015 min 0 2 -> 0
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47 | mnmx016 min 1 -2 -> -2
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48 | mnmx017 min 1 -1 -> -1
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49 | mnmx018 min 1 0 -> 0
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50 | mnmx019 min 1 1 -> 1
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51 | mnmx020 min 1 2 -> 1
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52 | mnmx021 min 2 -2 -> -2
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53 | mnmx022 min 2 -1 -> -1
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54 | mnmx023 min 2 0 -> 0
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55 | mnmx025 min 2 1 -> 1
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56 | mnmx026 min 2 2 -> 2
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57 |
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58 | -- extended zeros
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59 | mnmx030 min 0 0 -> 0
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60 | mnmx031 min 0 -0 -> -0
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61 | mnmx032 min 0 -0.0 -> -0.0
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62 | mnmx033 min 0 0.0 -> 0.0
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63 | mnmx034 min -0 0 -> -0
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64 | mnmx035 min -0 -0 -> -0
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65 | mnmx036 min -0 -0.0 -> -0
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66 | mnmx037 min -0 0.0 -> -0
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67 | mnmx038 min 0.0 0 -> 0.0
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68 | mnmx039 min 0.0 -0 -> -0
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69 | mnmx040 min 0.0 -0.0 -> -0.0
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70 | mnmx041 min 0.0 0.0 -> 0.0
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71 | mnmx042 min -0.0 0 -> -0.0
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72 | mnmx043 min -0.0 -0 -> -0
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73 | mnmx044 min -0.0 -0.0 -> -0.0
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74 | mnmx045 min -0.0 0.0 -> -0.0
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75 |
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76 | mnmx046 min 0E1 -0E1 -> -0E+1
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77 | mnmx047 min -0E1 0E2 -> -0E+1
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78 | mnmx048 min 0E2 0E1 -> 0E+1
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79 | mnmx049 min 0E1 0E2 -> 0E+1
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80 | mnmx050 min -0E3 -0E2 -> -0E+3
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81 | mnmx051 min -0E2 -0E3 -> -0E+3
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82 |
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83 | -- Specials
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84 | precision: 9
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85 | mnmx090 min Inf -Inf -> -Infinity
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86 | mnmx091 min Inf -1000 -> -1000
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87 | mnmx092 min Inf -1 -> -1
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88 | mnmx093 min Inf -0 -> -0
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89 | mnmx094 min Inf 0 -> 0
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90 | mnmx095 min Inf 1 -> 1
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91 | mnmx096 min Inf 1000 -> 1000
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92 | mnmx097 min Inf Inf -> Infinity
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93 | mnmx098 min -1000 Inf -> -1000
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94 | mnmx099 min -Inf Inf -> -Infinity
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95 | mnmx100 min -1 Inf -> -1
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96 | mnmx101 min -0 Inf -> -0
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97 | mnmx102 min 0 Inf -> 0
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98 | mnmx103 min 1 Inf -> 1
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99 | mnmx104 min 1000 Inf -> 1000
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100 | mnmx105 min Inf Inf -> Infinity
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101 |
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102 | mnmx120 min -Inf -Inf -> -Infinity
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103 | mnmx121 min -Inf -1000 -> -Infinity
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104 | mnmx122 min -Inf -1 -> -Infinity
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105 | mnmx123 min -Inf -0 -> -Infinity
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106 | mnmx124 min -Inf 0 -> -Infinity
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107 | mnmx125 min -Inf 1 -> -Infinity
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108 | mnmx126 min -Inf 1000 -> -Infinity
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109 | mnmx127 min -Inf Inf -> -Infinity
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110 | mnmx128 min -Inf -Inf -> -Infinity
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111 | mnmx129 min -1000 -Inf -> -Infinity
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112 | mnmx130 min -1 -Inf -> -Infinity
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113 | mnmx131 min -0 -Inf -> -Infinity
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114 | mnmx132 min 0 -Inf -> -Infinity
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115 | mnmx133 min 1 -Inf -> -Infinity
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116 | mnmx134 min 1000 -Inf -> -Infinity
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117 | mnmx135 min Inf -Inf -> -Infinity
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118 |
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119 | -- 2004.08.02 754r chooses number over NaN in mixed cases
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120 | mnmx141 min NaN -Inf -> -Infinity
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121 | mnmx142 min NaN -1000 -> -1000
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122 | mnmx143 min NaN -1 -> -1
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123 | mnmx144 min NaN -0 -> -0
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124 | mnmx145 min NaN 0 -> 0
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125 | mnmx146 min NaN 1 -> 1
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126 | mnmx147 min NaN 1000 -> 1000
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127 | mnmx148 min NaN Inf -> Infinity
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128 | mnmx149 min NaN NaN -> NaN
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129 | mnmx150 min -Inf NaN -> -Infinity
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130 | mnmx151 min -1000 NaN -> -1000
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131 | mnmx152 min -1 -NaN -> -1
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132 | mnmx153 min -0 NaN -> -0
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133 | mnmx154 min 0 -NaN -> 0
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134 | mnmx155 min 1 NaN -> 1
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135 | mnmx156 min 1000 NaN -> 1000
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136 | mnmx157 min Inf NaN -> Infinity
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137 |
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138 | mnmx161 min sNaN -Inf -> NaN Invalid_operation
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139 | mnmx162 min sNaN -1000 -> NaN Invalid_operation
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140 | mnmx163 min sNaN -1 -> NaN Invalid_operation
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141 | mnmx164 min sNaN -0 -> NaN Invalid_operation
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142 | mnmx165 min -sNaN 0 -> -NaN Invalid_operation
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143 | mnmx166 min -sNaN 1 -> -NaN Invalid_operation
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144 | mnmx167 min sNaN 1000 -> NaN Invalid_operation
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145 | mnmx168 min sNaN NaN -> NaN Invalid_operation
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146 | mnmx169 min sNaN sNaN -> NaN Invalid_operation
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147 | mnmx170 min NaN sNaN -> NaN Invalid_operation
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148 | mnmx171 min -Inf sNaN -> NaN Invalid_operation
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149 | mnmx172 min -1000 sNaN -> NaN Invalid_operation
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150 | mnmx173 min -1 sNaN -> NaN Invalid_operation
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151 | mnmx174 min -0 sNaN -> NaN Invalid_operation
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152 | mnmx175 min 0 sNaN -> NaN Invalid_operation
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153 | mnmx176 min 1 sNaN -> NaN Invalid_operation
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154 | mnmx177 min 1000 sNaN -> NaN Invalid_operation
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155 | mnmx178 min Inf sNaN -> NaN Invalid_operation
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156 | mnmx179 min NaN sNaN -> NaN Invalid_operation
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157 |
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158 | -- propagating NaNs
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159 | mnmx181 min NaN9 -Inf -> -Infinity
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160 | mnmx182 min -NaN8 9990 -> 9990
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161 | mnmx183 min NaN71 Inf -> Infinity
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162 |
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163 | mnmx184 min NaN1 NaN54 -> NaN1
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164 | mnmx185 min NaN22 -NaN53 -> NaN22
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165 | mnmx186 min -NaN3 NaN6 -> -NaN3
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166 | mnmx187 min -NaN44 NaN7 -> -NaN44
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167 |
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168 | mnmx188 min -Inf NaN41 -> -Infinity
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169 | mnmx189 min -9999 -NaN33 -> -9999
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170 | mnmx190 min Inf NaN2 -> Infinity
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171 |
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172 | mnmx191 min sNaN99 -Inf -> NaN99 Invalid_operation
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173 | mnmx192 min sNaN98 -11 -> NaN98 Invalid_operation
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174 | mnmx193 min -sNaN97 NaN8 -> -NaN97 Invalid_operation
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175 | mnmx194 min sNaN69 sNaN94 -> NaN69 Invalid_operation
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176 | mnmx195 min NaN95 sNaN93 -> NaN93 Invalid_operation
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177 | mnmx196 min -Inf sNaN92 -> NaN92 Invalid_operation
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178 | mnmx197 min 088 sNaN91 -> NaN91 Invalid_operation
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179 | mnmx198 min Inf -sNaN90 -> -NaN90 Invalid_operation
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180 | mnmx199 min NaN sNaN86 -> NaN86 Invalid_operation
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181 |
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182 | -- rounding checks -- chosen is rounded, or not
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183 | maxExponent: 999
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184 | minexponent: -999
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185 | precision: 9
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186 | mnmx201 min -12345678000 1 -> -1.23456780E+10 Rounded
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187 | mnmx202 min 1 -12345678000 -> -1.23456780E+10 Rounded
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188 | mnmx203 min -1234567800 1 -> -1.23456780E+9 Rounded
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189 | mnmx204 min 1 -1234567800 -> -1.23456780E+9 Rounded
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190 | mnmx205 min -1234567890 1 -> -1.23456789E+9 Rounded
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191 | mnmx206 min 1 -1234567890 -> -1.23456789E+9 Rounded
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192 | mnmx207 min -1234567891 1 -> -1.23456789E+9 Inexact Rounded
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193 | mnmx208 min 1 -1234567891 -> -1.23456789E+9 Inexact Rounded
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194 | mnmx209 min -12345678901 1 -> -1.23456789E+10 Inexact Rounded
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195 | mnmx210 min 1 -12345678901 -> -1.23456789E+10 Inexact Rounded
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196 | mnmx211 min -1234567896 1 -> -1.23456790E+9 Inexact Rounded
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197 | mnmx212 min 1 -1234567896 -> -1.23456790E+9 Inexact Rounded
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198 | mnmx213 min 1234567891 1 -> 1
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199 | mnmx214 min 1 1234567891 -> 1
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200 | mnmx215 min 12345678901 1 -> 1
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201 | mnmx216 min 1 12345678901 -> 1
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202 | mnmx217 min 1234567896 1 -> 1
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203 | mnmx218 min 1 1234567896 -> 1
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204 |
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205 | precision: 15
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206 | mnmx221 min -12345678000 1 -> -12345678000
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207 | mnmx222 min 1 -12345678000 -> -12345678000
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208 | mnmx223 min -1234567800 1 -> -1234567800
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209 | mnmx224 min 1 -1234567800 -> -1234567800
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210 | mnmx225 min -1234567890 1 -> -1234567890
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211 | mnmx226 min 1 -1234567890 -> -1234567890
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212 | mnmx227 min -1234567891 1 -> -1234567891
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213 | mnmx228 min 1 -1234567891 -> -1234567891
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214 | mnmx229 min -12345678901 1 -> -12345678901
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215 | mnmx230 min 1 -12345678901 -> -12345678901
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216 | mnmx231 min -1234567896 1 -> -1234567896
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217 | mnmx232 min 1 -1234567896 -> -1234567896
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218 | mnmx233 min 1234567891 1 -> 1
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219 | mnmx234 min 1 1234567891 -> 1
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220 | mnmx235 min 12345678901 1 -> 1
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221 | mnmx236 min 1 12345678901 -> 1
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222 | mnmx237 min 1234567896 1 -> 1
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223 | mnmx238 min 1 1234567896 -> 1
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224 |
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225 | -- from examples
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226 | mnmx280 min '3' '2' -> '2'
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227 | mnmx281 min '-10' '3' -> '-10'
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228 | mnmx282 min '1.0' '1' -> '1.0'
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229 | mnmx283 min '1' '1.0' -> '1.0'
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230 | mnmx284 min '7' 'NaN' -> '7'
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231 |
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232 | -- overflow and underflow tests .. subnormal results [inputs] now allowed
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233 | maxExponent: 999999999
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234 | minexponent: -999999999
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235 | mnmx330 min -1.23456789012345E-0 -9E+999999999 -> -9E+999999999
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236 | mnmx331 min -9E+999999999 -1.23456789012345E-0 -> -9E+999999999
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237 | mnmx332 min -0.100 -9E-999999999 -> -0.100
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238 | mnmx333 min -9E-999999999 -0.100 -> -0.100
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239 | mnmx335 min +1.23456789012345E-0 -9E+999999999 -> -9E+999999999
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240 | mnmx336 min -9E+999999999 1.23456789012345E-0 -> -9E+999999999
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241 | mnmx337 min +0.100 -9E-999999999 -> -9E-999999999
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242 | mnmx338 min -9E-999999999 0.100 -> -9E-999999999
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243 |
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244 | mnmx339 min -1e-599999999 -1e-400000001 -> -1E-400000001
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245 | mnmx340 min -1e-599999999 -1e-400000000 -> -1E-400000000
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246 | mnmx341 min -1e-600000000 -1e-400000000 -> -1E-400000000
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247 | mnmx342 min -9e-999999998 -0.01 -> -0.01
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248 | mnmx343 min -9e-999999998 -0.1 -> -0.1
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249 | mnmx344 min -0.01 -9e-999999998 -> -0.01
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250 | mnmx345 min -1e599999999 -1e400000001 -> -1E+599999999
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251 | mnmx346 min -1e599999999 -1e400000000 -> -1E+599999999
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252 | mnmx347 min -1e600000000 -1e400000000 -> -1E+600000000
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253 | mnmx348 min -9e999999998 -100 -> -9E+999999998
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254 | mnmx349 min -9e999999998 -10 -> -9E+999999998
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255 | mnmx350 min -100 -9e999999998 -> -9E+999999998
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256 | -- signs
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257 | mnmx351 min -1e+777777777 -1e+411111111 -> -1E+777777777
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258 | mnmx352 min -1e+777777777 +1e+411111111 -> -1E+777777777
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259 | mnmx353 min +1e+777777777 -1e+411111111 -> -1E+411111111
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260 | mnmx354 min +1e+777777777 +1e+411111111 -> 1E+411111111
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261 | mnmx355 min -1e-777777777 -1e-411111111 -> -1E-411111111
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262 | mnmx356 min -1e-777777777 +1e-411111111 -> -1E-777777777
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263 | mnmx357 min +1e-777777777 -1e-411111111 -> -1E-411111111
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264 | mnmx358 min +1e-777777777 +1e-411111111 -> 1E-777777777
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265 |
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266 | -- expanded list from min/max 754r purple prose
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267 | -- [explicit tests for exponent ordering]
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268 | mnmx401 min Inf 1.1 -> 1.1
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269 | mnmx402 min 1.1 1 -> 1
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270 | mnmx403 min 1 1.0 -> 1.0
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271 | mnmx404 min 1.0 0.1 -> 0.1
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272 | mnmx405 min 0.1 0.10 -> 0.10
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273 | mnmx406 min 0.10 0.100 -> 0.100
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274 | mnmx407 min 0.10 0 -> 0
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275 | mnmx408 min 0 0.0 -> 0.0
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276 | mnmx409 min 0.0 -0 -> -0
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277 | mnmx410 min 0.0 -0.0 -> -0.0
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278 | mnmx411 min 0.00 -0.0 -> -0.0
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279 | mnmx412 min 0.0 -0.00 -> -0.00
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280 | mnmx413 min 0 -0.0 -> -0.0
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281 | mnmx414 min 0 -0 -> -0
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282 | mnmx415 min -0.0 -0 -> -0
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283 | mnmx416 min -0 -0.100 -> -0.100
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284 | mnmx417 min -0.100 -0.10 -> -0.10
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285 | mnmx418 min -0.10 -0.1 -> -0.1
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286 | mnmx419 min -0.1 -1.0 -> -1.0
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287 | mnmx420 min -1.0 -1 -> -1
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288 | mnmx421 min -1 -1.1 -> -1.1
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289 | mnmx423 min -1.1 -Inf -> -Infinity
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290 | -- same with operands reversed
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291 | mnmx431 min 1.1 Inf -> 1.1
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292 | mnmx432 min 1 1.1 -> 1
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293 | mnmx433 min 1.0 1 -> 1.0
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294 | mnmx434 min 0.1 1.0 -> 0.1
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295 | mnmx435 min 0.10 0.1 -> 0.10
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296 | mnmx436 min 0.100 0.10 -> 0.100
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297 | mnmx437 min 0 0.10 -> 0
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298 | mnmx438 min 0.0 0 -> 0.0
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299 | mnmx439 min -0 0.0 -> -0
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300 | mnmx440 min -0.0 0.0 -> -0.0
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301 | mnmx441 min -0.0 0.00 -> -0.0
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302 | mnmx442 min -0.00 0.0 -> -0.00
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303 | mnmx443 min -0.0 0 -> -0.0
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304 | mnmx444 min -0 0 -> -0
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305 | mnmx445 min -0 -0.0 -> -0
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306 | mnmx446 min -0.100 -0 -> -0.100
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307 | mnmx447 min -0.10 -0.100 -> -0.10
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308 | mnmx448 min -0.1 -0.10 -> -0.1
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309 | mnmx449 min -1.0 -0.1 -> -1.0
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310 | mnmx450 min -1 -1.0 -> -1
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311 | mnmx451 min -1.1 -1 -> -1.1
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312 | mnmx453 min -Inf -1.1 -> -Infinity
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313 | -- largies
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314 | mnmx460 min 1000 1E+3 -> 1000
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315 | mnmx461 min 1E+3 1000 -> 1000
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316 | mnmx462 min 1000 -1E+3 -> -1E+3
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317 | mnmx463 min 1E+3 -1000 -> -1000
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318 | mnmx464 min -1000 1E+3 -> -1000
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319 | mnmx465 min -1E+3 1000 -> -1E+3
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320 | mnmx466 min -1000 -1E+3 -> -1E+3
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321 | mnmx467 min -1E+3 -1000 -> -1E+3
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322 |
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323 | -- rounding (results treated as though plus)
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324 | maxexponent: 999999999
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325 | minexponent: -999999999
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326 | precision: 3
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327 |
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328 | mnmx470 min 1 5 -> 1
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329 | mnmx471 min 10 50 -> 10
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330 | mnmx472 min 100 500 -> 100
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331 | mnmx473 min 1000 5000 -> 1.00E+3 Rounded
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332 | mnmx474 min 10000 50000 -> 1.00E+4 Rounded
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333 | mnmx475 min 6 50 -> 6
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334 | mnmx476 min 66 500 -> 66
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335 | mnmx477 min 666 5000 -> 666
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336 | mnmx478 min 6666 50000 -> 6.67E+3 Rounded Inexact
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337 | mnmx479 min 66666 500000 -> 6.67E+4 Rounded Inexact
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338 | mnmx480 min 33333 500000 -> 3.33E+4 Rounded Inexact
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339 | mnmx481 min 75401 1 -> 1
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340 | mnmx482 min 75402 10 -> 10
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341 | mnmx483 min 75403 100 -> 100
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342 | mnmx484 min 75404 1000 -> 1.00E+3 Rounded
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343 | mnmx485 min 75405 10000 -> 1.00E+4 Rounded
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344 | mnmx486 min 75406 6 -> 6
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345 | mnmx487 min 75407 66 -> 66
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346 | mnmx488 min 75408 666 -> 666
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347 | mnmx489 min 75409 6666 -> 6.67E+3 Rounded Inexact
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348 | mnmx490 min 75410 66666 -> 6.67E+4 Rounded Inexact
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349 | mnmx491 min 75411 33333 -> 3.33E+4 Rounded Inexact
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350 |
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351 |
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352 | -- overflow tests
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353 | maxexponent: 999999999
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354 | minexponent: -999999999
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355 | precision: 3
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356 | mnmx500 min 9.999E+999999999 0 -> 0
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357 | mnmx501 min -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
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358 |
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359 | -- subnormals and underflow
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360 | precision: 3
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361 | maxexponent: 999
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362 | minexponent: -999
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363 | mnmx510 min 1.00E-999 0 -> 0
|
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364 | mnmx511 min 0.1E-999 0 -> 0
|
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365 | mnmx512 min 0.10E-999 0 -> 0
|
---|
366 | mnmx513 min 0.100E-999 0 -> 0
|
---|
367 | mnmx514 min 0.01E-999 0 -> 0
|
---|
368 | mnmx515 min 0.999E-999 0 -> 0
|
---|
369 | mnmx516 min 0.099E-999 0 -> 0
|
---|
370 | mnmx517 min 0.009E-999 0 -> 0
|
---|
371 | mnmx518 min 0.001E-999 0 -> 0
|
---|
372 | mnmx519 min 0.0009E-999 0 -> 0
|
---|
373 | mnmx520 min 0.0001E-999 0 -> 0
|
---|
374 |
|
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375 | mnmx530 min -1.00E-999 0 -> -1.00E-999
|
---|
376 | mnmx531 min -0.1E-999 0 -> -1E-1000 Subnormal
|
---|
377 | mnmx532 min -0.10E-999 0 -> -1.0E-1000 Subnormal
|
---|
378 | mnmx533 min -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
|
---|
379 | mnmx534 min -0.01E-999 0 -> -1E-1001 Subnormal
|
---|
380 | -- next is rounded to Nmin
|
---|
381 | mnmx535 min -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
|
---|
382 | mnmx536 min -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
|
---|
383 | mnmx537 min -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
|
---|
384 | mnmx538 min -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
385 | mnmx539 min -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
386 | mnmx540 min -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
387 |
|
---|
388 | -- misalignment traps for little-endian
|
---|
389 | precision: 9
|
---|
390 | mnmx551 min 1.0 0.1 -> 0.1
|
---|
391 | mnmx552 min 0.1 1.0 -> 0.1
|
---|
392 | mnmx553 min 10.0 0.1 -> 0.1
|
---|
393 | mnmx554 min 0.1 10.0 -> 0.1
|
---|
394 | mnmx555 min 100 1.0 -> 1.0
|
---|
395 | mnmx556 min 1.0 100 -> 1.0
|
---|
396 | mnmx557 min 1000 10.0 -> 10.0
|
---|
397 | mnmx558 min 10.0 1000 -> 10.0
|
---|
398 | mnmx559 min 10000 100.0 -> 100.0
|
---|
399 | mnmx560 min 100.0 10000 -> 100.0
|
---|
400 | mnmx561 min 100000 1000.0 -> 1000.0
|
---|
401 | mnmx562 min 1000.0 100000 -> 1000.0
|
---|
402 | mnmx563 min 1000000 10000.0 -> 10000.0
|
---|
403 | mnmx564 min 10000.0 1000000 -> 10000.0
|
---|
404 |
|
---|
405 | -- Null tests
|
---|
406 | mnm900 min 10 # -> NaN Invalid_operation
|
---|
407 | mnm901 min # 10 -> NaN Invalid_operation
|
---|