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1 ------------------------------------------------------------------------ |
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2 -- min.decTest -- decimal minimum -- |
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3 -- Copyright (c) IBM Corporation, 1981, 2007. 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: 2.57 |
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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 |
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366 mnmx513 min 0.100E-999 0 -> 0 |
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367 mnmx514 min 0.01E-999 0 -> 0 |
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368 mnmx515 min 0.999E-999 0 -> 0 |
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369 mnmx516 min 0.099E-999 0 -> 0 |
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370 mnmx517 min 0.009E-999 0 -> 0 |
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371 mnmx518 min 0.001E-999 0 -> 0 |
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372 mnmx519 min 0.0009E-999 0 -> 0 |
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373 mnmx520 min 0.0001E-999 0 -> 0 |
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374 |
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375 mnmx530 min -1.00E-999 0 -> -1.00E-999 |
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376 mnmx531 min -0.1E-999 0 -> -1E-1000 Subnormal |
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377 mnmx532 min -0.10E-999 0 -> -1.0E-1000 Subnormal |
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378 mnmx533 min -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded |
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379 mnmx534 min -0.01E-999 0 -> -1E-1001 Subnormal |
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380 -- next is rounded to Nmin |
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381 mnmx535 min -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow |
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382 mnmx536 min -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow |
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383 mnmx537 min -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow |
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384 mnmx538 min -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped |
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385 mnmx539 min -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped |
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386 mnmx540 min -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped |
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387 |
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388 -- misalignment traps for little-endian |
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389 precision: 9 |
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390 mnmx551 min 1.0 0.1 -> 0.1 |
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391 mnmx552 min 0.1 1.0 -> 0.1 |
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392 mnmx553 min 10.0 0.1 -> 0.1 |
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393 mnmx554 min 0.1 10.0 -> 0.1 |
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394 mnmx555 min 100 1.0 -> 1.0 |
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395 mnmx556 min 1.0 100 -> 1.0 |
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396 mnmx557 min 1000 10.0 -> 10.0 |
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397 mnmx558 min 10.0 1000 -> 10.0 |
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398 mnmx559 min 10000 100.0 -> 100.0 |
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399 mnmx560 min 100.0 10000 -> 100.0 |
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400 mnmx561 min 100000 1000.0 -> 1000.0 |
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401 mnmx562 min 1000.0 100000 -> 1000.0 |
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402 mnmx563 min 1000000 10000.0 -> 10000.0 |
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403 mnmx564 min 10000.0 1000000 -> 10000.0 |
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404 |
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405 -- Null tests |
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406 mnm900 min 10 # -> NaN Invalid_operation |
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407 mnm901 min # 10 -> NaN Invalid_operation |