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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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182 -- rounding checks -- chosen is rounded, or not
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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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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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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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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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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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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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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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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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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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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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353 maxexponent: 999999999
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354 minexponent: -999999999
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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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359 -- subnormals and underflow
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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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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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389 mng900 minmag 10 # -> NaN Invalid_operation
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390 mng901 minmag # 10 -> NaN Invalid_operation
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