1 | ------------------------------------------------------------------------
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2 | -- minmag.decTest -- decimal minimum by magnitude --
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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 | mngx001 minmag -2 -2 -> -2
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33 | mngx002 minmag -2 -1 -> -1
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34 | mngx003 minmag -2 0 -> 0
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35 | mngx004 minmag -2 1 -> 1
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36 | mngx005 minmag -2 2 -> -2
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37 | mngx006 minmag -1 -2 -> -1
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38 | mngx007 minmag -1 -1 -> -1
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39 | mngx008 minmag -1 0 -> 0
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40 | mngx009 minmag -1 1 -> -1
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41 | mngx010 minmag -1 2 -> -1
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42 | mngx011 minmag 0 -2 -> 0
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43 | mngx012 minmag 0 -1 -> 0
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44 | mngx013 minmag 0 0 -> 0
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45 | mngx014 minmag 0 1 -> 0
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46 | mngx015 minmag 0 2 -> 0
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47 | mngx016 minmag 1 -2 -> 1
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48 | mngx017 minmag 1 -1 -> -1
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49 | mngx018 minmag 1 0 -> 0
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50 | mngx019 minmag 1 1 -> 1
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51 | mngx020 minmag 1 2 -> 1
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52 | mngx021 minmag 2 -2 -> -2
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53 | mngx022 minmag 2 -1 -> -1
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54 | mngx023 minmag 2 0 -> 0
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55 | mngx025 minmag 2 1 -> 1
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56 | mngx026 minmag 2 2 -> 2
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57 |
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58 | -- extended zeros
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59 | mngx030 minmag 0 0 -> 0
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60 | mngx031 minmag 0 -0 -> -0
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61 | mngx032 minmag 0 -0.0 -> -0.0
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62 | mngx033 minmag 0 0.0 -> 0.0
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63 | mngx034 minmag -0 0 -> -0
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64 | mngx035 minmag -0 -0 -> -0
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65 | mngx036 minmag -0 -0.0 -> -0
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66 | mngx037 minmag -0 0.0 -> -0
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67 | mngx038 minmag 0.0 0 -> 0.0
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68 | mngx039 minmag 0.0 -0 -> -0
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69 | mngx040 minmag 0.0 -0.0 -> -0.0
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70 | mngx041 minmag 0.0 0.0 -> 0.0
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71 | mngx042 minmag -0.0 0 -> -0.0
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72 | mngx043 minmag -0.0 -0 -> -0
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73 | mngx044 minmag -0.0 -0.0 -> -0.0
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74 | mngx045 minmag -0.0 0.0 -> -0.0
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75 |
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76 | mngx046 minmag 0E1 -0E1 -> -0E+1
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77 | mngx047 minmag -0E1 0E2 -> -0E+1
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78 | mngx048 minmag 0E2 0E1 -> 0E+1
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79 | mngx049 minmag 0E1 0E2 -> 0E+1
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80 | mngx050 minmag -0E3 -0E2 -> -0E+3
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81 | mngx051 minmag -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 | mngx090 minmag Inf -Inf -> -Infinity
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86 | mngx091 minmag Inf -1000 -> -1000
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87 | mngx092 minmag Inf -1 -> -1
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88 | mngx093 minmag Inf -0 -> -0
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89 | mngx094 minmag Inf 0 -> 0
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90 | mngx095 minmag Inf 1 -> 1
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91 | mngx096 minmag Inf 1000 -> 1000
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92 | mngx097 minmag Inf Inf -> Infinity
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93 | mngx098 minmag -1000 Inf -> -1000
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94 | mngx099 minmag -Inf Inf -> -Infinity
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95 | mngx100 minmag -1 Inf -> -1
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96 | mngx101 minmag -0 Inf -> -0
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97 | mngx102 minmag 0 Inf -> 0
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98 | mngx103 minmag 1 Inf -> 1
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99 | mngx104 minmag 1000 Inf -> 1000
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100 | mngx105 minmag Inf Inf -> Infinity
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101 |
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102 | mngx120 minmag -Inf -Inf -> -Infinity
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103 | mngx121 minmag -Inf -1000 -> -1000
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104 | mngx122 minmag -Inf -1 -> -1
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105 | mngx123 minmag -Inf -0 -> -0
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106 | mngx124 minmag -Inf 0 -> 0
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107 | mngx125 minmag -Inf 1 -> 1
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108 | mngx126 minmag -Inf 1000 -> 1000
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109 | mngx127 minmag -Inf Inf -> -Infinity
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110 | mngx128 minmag -Inf -Inf -> -Infinity
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111 | mngx129 minmag -1000 -Inf -> -1000
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112 | mngx130 minmag -1 -Inf -> -1
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113 | mngx131 minmag -0 -Inf -> -0
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114 | mngx132 minmag 0 -Inf -> 0
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115 | mngx133 minmag 1 -Inf -> 1
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116 | mngx134 minmag 1000 -Inf -> 1000
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117 | mngx135 minmag 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 | mngx141 minmag NaN -Inf -> -Infinity
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121 | mngx142 minmag NaN -1000 -> -1000
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122 | mngx143 minmag NaN -1 -> -1
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123 | mngx144 minmag NaN -0 -> -0
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124 | mngx145 minmag NaN 0 -> 0
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125 | mngx146 minmag NaN 1 -> 1
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126 | mngx147 minmag NaN 1000 -> 1000
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127 | mngx148 minmag NaN Inf -> Infinity
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128 | mngx149 minmag NaN NaN -> NaN
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129 | mngx150 minmag -Inf NaN -> -Infinity
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130 | mngx151 minmag -1000 NaN -> -1000
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131 | mngx152 minmag -1 -NaN -> -1
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132 | mngx153 minmag -0 NaN -> -0
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133 | mngx154 minmag 0 -NaN -> 0
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134 | mngx155 minmag 1 NaN -> 1
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135 | mngx156 minmag 1000 NaN -> 1000
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136 | mngx157 minmag Inf NaN -> Infinity
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137 |
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138 | mngx161 minmag sNaN -Inf -> NaN Invalid_operation
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139 | mngx162 minmag sNaN -1000 -> NaN Invalid_operation
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140 | mngx163 minmag sNaN -1 -> NaN Invalid_operation
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141 | mngx164 minmag sNaN -0 -> NaN Invalid_operation
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142 | mngx165 minmag -sNaN 0 -> -NaN Invalid_operation
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143 | mngx166 minmag -sNaN 1 -> -NaN Invalid_operation
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144 | mngx167 minmag sNaN 1000 -> NaN Invalid_operation
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145 | mngx168 minmag sNaN NaN -> NaN Invalid_operation
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146 | mngx169 minmag sNaN sNaN -> NaN Invalid_operation
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147 | mngx170 minmag NaN sNaN -> NaN Invalid_operation
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148 | mngx171 minmag -Inf sNaN -> NaN Invalid_operation
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149 | mngx172 minmag -1000 sNaN -> NaN Invalid_operation
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150 | mngx173 minmag -1 sNaN -> NaN Invalid_operation
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151 | mngx174 minmag -0 sNaN -> NaN Invalid_operation
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152 | mngx175 minmag 0 sNaN -> NaN Invalid_operation
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153 | mngx176 minmag 1 sNaN -> NaN Invalid_operation
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154 | mngx177 minmag 1000 sNaN -> NaN Invalid_operation
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155 | mngx178 minmag Inf sNaN -> NaN Invalid_operation
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156 | mngx179 minmag NaN sNaN -> NaN Invalid_operation
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157 |
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158 | -- propagating NaNs
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159 | mngx181 minmag NaN9 -Inf -> -Infinity
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160 | mngx182 minmag -NaN8 9990 -> 9990
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161 | mngx183 minmag NaN71 Inf -> Infinity
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162 |
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163 | mngx184 minmag NaN1 NaN54 -> NaN1
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164 | mngx185 minmag NaN22 -NaN53 -> NaN22
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165 | mngx186 minmag -NaN3 NaN6 -> -NaN3
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166 | mngx187 minmag -NaN44 NaN7 -> -NaN44
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167 |
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168 | mngx188 minmag -Inf NaN41 -> -Infinity
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169 | mngx189 minmag -9999 -NaN33 -> -9999
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170 | mngx190 minmag Inf NaN2 -> Infinity
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171 |
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172 | mngx191 minmag sNaN99 -Inf -> NaN99 Invalid_operation
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173 | mngx192 minmag sNaN98 -11 -> NaN98 Invalid_operation
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174 | mngx193 minmag -sNaN97 NaN8 -> -NaN97 Invalid_operation
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175 | mngx194 minmag sNaN69 sNaN94 -> NaN69 Invalid_operation
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176 | mngx195 minmag NaN95 sNaN93 -> NaN93 Invalid_operation
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177 | mngx196 minmag -Inf sNaN92 -> NaN92 Invalid_operation
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178 | mngx197 minmag 088 sNaN91 -> NaN91 Invalid_operation
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179 | mngx198 minmag Inf -sNaN90 -> -NaN90 Invalid_operation
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180 | mngx199 minmag 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 | mngx201 minmag -12345678000 1 -> 1
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187 | mngx202 minmag 1 -12345678000 -> 1
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188 | mngx203 minmag -1234567800 1 -> 1
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189 | mngx204 minmag 1 -1234567800 -> 1
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190 | mngx205 minmag -1234567890 1 -> 1
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191 | mngx206 minmag 1 -1234567890 -> 1
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192 | mngx207 minmag -1234567891 1 -> 1
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193 | mngx208 minmag 1 -1234567891 -> 1
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194 | mngx209 minmag -12345678901 1 -> 1
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195 | mngx210 minmag 1 -12345678901 -> 1
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196 | mngx211 minmag -1234567896 1 -> 1
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197 | mngx212 minmag 1 -1234567896 -> 1
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198 | mngx213 minmag 1234567891 1 -> 1
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199 | mngx214 minmag 1 1234567891 -> 1
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200 | mngx215 minmag 12345678901 1 -> 1
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201 | mngx216 minmag 1 12345678901 -> 1
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202 | mngx217 minmag 1234567896 1 -> 1
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203 | mngx218 minmag 1 1234567896 -> 1
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204 |
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205 | precision: 15
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206 | mngx221 minmag -12345678000 1 -> 1
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207 | mngx222 minmag 1 -12345678000 -> 1
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208 | mngx223 minmag -1234567800 1 -> 1
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209 | mngx224 minmag 1 -1234567800 -> 1
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210 | mngx225 minmag -1234567890 1 -> 1
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211 | mngx226 minmag 1 -1234567890 -> 1
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212 | mngx227 minmag -1234567891 1 -> 1
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213 | mngx228 minmag 1 -1234567891 -> 1
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214 | mngx229 minmag -12345678901 1 -> 1
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215 | mngx230 minmag 1 -12345678901 -> 1
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216 | mngx231 minmag -1234567896 1 -> 1
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217 | mngx232 minmag 1 -1234567896 -> 1
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218 | mngx233 minmag 1234567891 1 -> 1
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219 | mngx234 minmag 1 1234567891 -> 1
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220 | mngx235 minmag 12345678901 1 -> 1
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221 | mngx236 minmag 1 12345678901 -> 1
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222 | mngx237 minmag 1234567896 1 -> 1
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223 | mngx238 minmag 1 1234567896 -> 1
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224 |
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225 | -- from examples
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226 | mngx280 minmag '3' '2' -> '2'
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227 | mngx281 minmag '-10' '3' -> '3'
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228 | mngx282 minmag '1.0' '1' -> '1.0'
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229 | mngx283 minmag '1' '1.0' -> '1.0'
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230 | mngx284 minmag '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 | mngx330 minmag -1.23456789012345E-0 -9E+999999999 -> -1.23456789012345
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236 | mngx331 minmag -9E+999999999 -1.23456789012345E-0 -> -1.23456789012345
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237 | mngx332 minmag -0.100 -9E-999999999 -> -9E-999999999
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238 | mngx333 minmag -9E-999999999 -0.100 -> -9E-999999999
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239 | mngx335 minmag +1.23456789012345E-0 -9E+999999999 -> 1.23456789012345
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240 | mngx336 minmag -9E+999999999 1.23456789012345E-0 -> 1.23456789012345
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241 | mngx337 minmag +0.100 -9E-999999999 -> -9E-999999999
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242 | mngx338 minmag -9E-999999999 0.100 -> -9E-999999999
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243 |
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244 | mngx339 minmag -1e-599999999 -1e-400000001 -> -1E-599999999
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245 | mngx340 minmag -1e-599999999 -1e-400000000 -> -1E-599999999
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246 | mngx341 minmag -1e-600000000 -1e-400000000 -> -1E-600000000
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247 | mngx342 minmag -9e-999999998 -0.01 -> -9E-999999998
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248 | mngx343 minmag -9e-999999998 -0.1 -> -9E-999999998
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249 | mngx344 minmag -0.01 -9e-999999998 -> -9E-999999998
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250 | mngx345 minmag -1e599999999 -1e400000001 -> -1E+400000001
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251 | mngx346 minmag -1e599999999 -1e400000000 -> -1E+400000000
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252 | mngx347 minmag -1e600000000 -1e400000000 -> -1E+400000000
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253 | mngx348 minmag -9e999999998 -100 -> -100
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254 | mngx349 minmag -9e999999998 -10 -> -10
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255 | mngx350 minmag -100 -9e999999998 -> -100
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256 | -- signs
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257 | mngx351 minmag -1e+777777777 -1e+411111111 -> -1E+411111111
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258 | mngx352 minmag -1e+777777777 +1e+411111111 -> 1E+411111111
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259 | mngx353 minmag +1e+777777777 -1e+411111111 -> -1E+411111111
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260 | mngx354 minmag +1e+777777777 +1e+411111111 -> 1E+411111111
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261 | mngx355 minmag -1e-777777777 -1e-411111111 -> -1E-777777777
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262 | mngx356 minmag -1e-777777777 +1e-411111111 -> -1E-777777777
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263 | mngx357 minmag +1e-777777777 -1e-411111111 -> 1E-777777777
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264 | mngx358 minmag +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 | mngx401 minmag Inf 1.1 -> 1.1
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269 | mngx402 minmag 1.1 1 -> 1
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270 | mngx403 minmag 1 1.0 -> 1.0
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271 | mngx404 minmag 1.0 0.1 -> 0.1
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272 | mngx405 minmag 0.1 0.10 -> 0.10
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273 | mngx406 minmag 0.10 0.100 -> 0.100
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274 | mngx407 minmag 0.10 0 -> 0
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275 | mngx408 minmag 0 0.0 -> 0.0
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276 | mngx409 minmag 0.0 -0 -> -0
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277 | mngx410 minmag 0.0 -0.0 -> -0.0
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278 | mngx411 minmag 0.00 -0.0 -> -0.0
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279 | mngx412 minmag 0.0 -0.00 -> -0.00
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280 | mngx413 minmag 0 -0.0 -> -0.0
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281 | mngx414 minmag 0 -0 -> -0
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282 | mngx415 minmag -0.0 -0 -> -0
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283 | mngx416 minmag -0 -0.100 -> -0
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284 | mngx417 minmag -0.100 -0.10 -> -0.10
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285 | mngx418 minmag -0.10 -0.1 -> -0.1
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286 | mngx419 minmag -0.1 -1.0 -> -0.1
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287 | mngx420 minmag -1.0 -1 -> -1
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288 | mngx421 minmag -1 -1.1 -> -1
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289 | mngx423 minmag -1.1 -Inf -> -1.1
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290 | -- same with operands reversed
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291 | mngx431 minmag 1.1 Inf -> 1.1
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292 | mngx432 minmag 1 1.1 -> 1
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293 | mngx433 minmag 1.0 1 -> 1.0
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294 | mngx434 minmag 0.1 1.0 -> 0.1
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295 | mngx435 minmag 0.10 0.1 -> 0.10
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296 | mngx436 minmag 0.100 0.10 -> 0.100
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297 | mngx437 minmag 0 0.10 -> 0
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298 | mngx438 minmag 0.0 0 -> 0.0
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299 | mngx439 minmag -0 0.0 -> -0
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300 | mngx440 minmag -0.0 0.0 -> -0.0
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301 | mngx441 minmag -0.0 0.00 -> -0.0
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302 | mngx442 minmag -0.00 0.0 -> -0.00
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303 | mngx443 minmag -0.0 0 -> -0.0
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304 | mngx444 minmag -0 0 -> -0
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305 | mngx445 minmag -0 -0.0 -> -0
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306 | mngx446 minmag -0.100 -0 -> -0
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307 | mngx447 minmag -0.10 -0.100 -> -0.10
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308 | mngx448 minmag -0.1 -0.10 -> -0.1
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309 | mngx449 minmag -1.0 -0.1 -> -0.1
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310 | mngx450 minmag -1 -1.0 -> -1
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311 | mngx451 minmag -1.1 -1 -> -1
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312 | mngx453 minmag -Inf -1.1 -> -1.1
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313 | -- largies
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314 | mngx460 minmag 1000 1E+3 -> 1000
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315 | mngx461 minmag 1E+3 1000 -> 1000
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316 | mngx462 minmag 1000 -1E+3 -> -1E+3
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317 | mngx463 minmag 1E+3 -1000 -> -1000
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318 | mngx464 minmag -1000 1E+3 -> -1000
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319 | mngx465 minmag -1E+3 1000 -> -1E+3
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320 | mngx466 minmag -1000 -1E+3 -> -1E+3
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321 | mngx467 minmag -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 | mngx470 minmag 1 5 -> 1
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329 | mngx471 minmag 10 50 -> 10
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330 | mngx472 minmag 100 500 -> 100
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331 | mngx473 minmag 1000 5000 -> 1.00E+3 Rounded
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332 | mngx474 minmag 10000 50000 -> 1.00E+4 Rounded
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333 | mngx475 minmag 6 50 -> 6
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334 | mngx476 minmag 66 500 -> 66
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335 | mngx477 minmag 666 5000 -> 666
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336 | mngx478 minmag 6666 50000 -> 6.67E+3 Rounded Inexact
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337 | mngx479 minmag 66666 500000 -> 6.67E+4 Rounded Inexact
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338 | mngx480 minmag 33333 500000 -> 3.33E+4 Rounded Inexact
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339 | mngx481 minmag 75401 1 -> 1
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340 | mngx482 minmag 75402 10 -> 10
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341 | mngx483 minmag 75403 100 -> 100
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342 | mngx484 minmag 75404 1000 -> 1.00E+3 Rounded
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343 | mngx485 minmag 75405 10000 -> 1.00E+4 Rounded
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344 | mngx486 minmag 75406 6 -> 6
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345 | mngx487 minmag 75407 66 -> 66
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346 | mngx488 minmag 75408 666 -> 666
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347 | mngx489 minmag 75409 6666 -> 6.67E+3 Rounded Inexact
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348 | mngx490 minmag 75410 66666 -> 6.67E+4 Rounded Inexact
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349 | mngx491 minmag 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 | mngx500 minmag 9.999E+999999999 0 -> 0
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357 | mngx501 minmag -9.999E+999999999 0 -> 0
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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 | mngx510 minmag 1.00E-999 0 -> 0
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364 | mngx511 minmag 0.1E-999 0 -> 0
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365 | mngx512 minmag 0.10E-999 0 -> 0
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366 | mngx513 minmag 0.100E-999 0 -> 0
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367 | mngx514 minmag 0.01E-999 0 -> 0
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368 | mngx515 minmag 0.999E-999 0 -> 0
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369 | mngx516 minmag 0.099E-999 0 -> 0
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370 | mngx517 minmag 0.009E-999 0 -> 0
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371 | mngx518 minmag 0.001E-999 0 -> 0
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372 | mngx519 minmag 0.0009E-999 0 -> 0
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373 | mngx520 minmag 0.0001E-999 0 -> 0
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374 |
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375 | mngx530 minmag -1.00E-999 0 -> 0
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376 | mngx531 minmag -0.1E-999 0 -> 0
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377 | mngx532 minmag -0.10E-999 0 -> 0
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378 | mngx533 minmag -0.100E-999 0 -> 0
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379 | mngx534 minmag -0.01E-999 0 -> 0
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380 | mngx535 minmag -0.999E-999 0 -> 0
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381 | mngx536 minmag -0.099E-999 0 -> 0
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382 | mngx537 minmag -0.009E-999 0 -> 0
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383 | mngx538 minmag -0.001E-999 0 -> 0
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384 | mngx539 minmag -0.0009E-999 0 -> 0
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385 | mngx540 minmag -0.0001E-999 0 -> 0
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386 |
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387 |
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388 | -- Null tests
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389 | mng900 minmag 10 # -> NaN Invalid_operation
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390 | mng901 minmag # 10 -> NaN Invalid_operation
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