1 | ------------------------------------------------------------------------
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2 | -- ddMinMag.decTest -- decDouble minnummag --
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3 | -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
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4 | ------------------------------------------------------------------------
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5 | -- Please see the document "General Decimal Arithmetic Testcases" --
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6 | -- at http://www2.hursley.ibm.com/decimal for the description of --
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7 | -- these testcases. --
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8 | -- --
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9 | -- These testcases are experimental ('beta' versions), and they --
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10 | -- may contain errors. They are offered on an as-is basis. In --
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11 | -- particular, achieving the same results as the tests here is not --
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12 | -- a guarantee that an implementation complies with any Standard --
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13 | -- or specification. The tests are not exhaustive. --
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14 | -- --
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15 | -- Please send comments, suggestions, and corrections to the author: --
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16 | -- Mike Cowlishaw, IBM Fellow --
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17 | -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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18 | -- mfc@uk.ibm.com --
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19 | ------------------------------------------------------------------------
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20 | version: 2.59
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21 |
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22 | -- we assume that base comparison is tested in compare.decTest, so
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23 | -- these mainly cover special cases and rounding
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24 | precision: 16
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25 | maxExponent: 384
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26 | minExponent: -383
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27 | extended: 1
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28 | clamp: 1
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29 | rounding: half_even
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30 |
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31 | -- sanity checks
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32 | ddmng001 minmag -2 -2 -> -2
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33 | ddmng002 minmag -2 -1 -> -1
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34 | ddmng003 minmag -2 0 -> 0
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35 | ddmng004 minmag -2 1 -> 1
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36 | ddmng005 minmag -2 2 -> -2
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37 | ddmng006 minmag -1 -2 -> -1
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38 | ddmng007 minmag -1 -1 -> -1
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39 | ddmng008 minmag -1 0 -> 0
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40 | ddmng009 minmag -1 1 -> -1
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41 | ddmng010 minmag -1 2 -> -1
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42 | ddmng011 minmag 0 -2 -> 0
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43 | ddmng012 minmag 0 -1 -> 0
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44 | ddmng013 minmag 0 0 -> 0
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45 | ddmng014 minmag 0 1 -> 0
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46 | ddmng015 minmag 0 2 -> 0
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47 | ddmng016 minmag 1 -2 -> 1
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48 | ddmng017 minmag 1 -1 -> -1
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49 | ddmng018 minmag 1 0 -> 0
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50 | ddmng019 minmag 1 1 -> 1
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51 | ddmng020 minmag 1 2 -> 1
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52 | ddmng021 minmag 2 -2 -> -2
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53 | ddmng022 minmag 2 -1 -> -1
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54 | ddmng023 minmag 2 0 -> 0
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55 | ddmng025 minmag 2 1 -> 1
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56 | ddmng026 minmag 2 2 -> 2
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57 |
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58 | -- extended zeros
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59 | ddmng030 minmag 0 0 -> 0
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60 | ddmng031 minmag 0 -0 -> -0
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61 | ddmng032 minmag 0 -0.0 -> -0.0
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62 | ddmng033 minmag 0 0.0 -> 0.0
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63 | ddmng034 minmag -0 0 -> -0
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64 | ddmng035 minmag -0 -0 -> -0
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65 | ddmng036 minmag -0 -0.0 -> -0
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66 | ddmng037 minmag -0 0.0 -> -0
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67 | ddmng038 minmag 0.0 0 -> 0.0
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68 | ddmng039 minmag 0.0 -0 -> -0
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69 | ddmng040 minmag 0.0 -0.0 -> -0.0
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70 | ddmng041 minmag 0.0 0.0 -> 0.0
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71 | ddmng042 minmag -0.0 0 -> -0.0
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72 | ddmng043 minmag -0.0 -0 -> -0
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73 | ddmng044 minmag -0.0 -0.0 -> -0.0
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74 | ddmng045 minmag -0.0 0.0 -> -0.0
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75 |
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76 | ddmng046 minmag 0E1 -0E1 -> -0E+1
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77 | ddmng047 minmag -0E1 0E2 -> -0E+1
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78 | ddmng048 minmag 0E2 0E1 -> 0E+1
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79 | ddmng049 minmag 0E1 0E2 -> 0E+1
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80 | ddmng050 minmag -0E3 -0E2 -> -0E+3
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81 | ddmng051 minmag -0E2 -0E3 -> -0E+3
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82 |
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83 | -- Specials
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84 | ddmng090 minmag Inf -Inf -> -Infinity
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85 | ddmng091 minmag Inf -1000 -> -1000
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86 | ddmng092 minmag Inf -1 -> -1
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87 | ddmng093 minmag Inf -0 -> -0
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88 | ddmng094 minmag Inf 0 -> 0
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89 | ddmng095 minmag Inf 1 -> 1
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90 | ddmng096 minmag Inf 1000 -> 1000
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91 | ddmng097 minmag Inf Inf -> Infinity
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92 | ddmng098 minmag -1000 Inf -> -1000
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93 | ddmng099 minmag -Inf Inf -> -Infinity
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94 | ddmng100 minmag -1 Inf -> -1
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95 | ddmng101 minmag -0 Inf -> -0
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96 | ddmng102 minmag 0 Inf -> 0
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97 | ddmng103 minmag 1 Inf -> 1
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98 | ddmng104 minmag 1000 Inf -> 1000
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99 | ddmng105 minmag Inf Inf -> Infinity
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100 |
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101 | ddmng120 minmag -Inf -Inf -> -Infinity
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102 | ddmng121 minmag -Inf -1000 -> -1000
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103 | ddmng122 minmag -Inf -1 -> -1
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104 | ddmng123 minmag -Inf -0 -> -0
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105 | ddmng124 minmag -Inf 0 -> 0
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106 | ddmng125 minmag -Inf 1 -> 1
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107 | ddmng126 minmag -Inf 1000 -> 1000
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108 | ddmng127 minmag -Inf Inf -> -Infinity
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109 | ddmng128 minmag -Inf -Inf -> -Infinity
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110 | ddmng129 minmag -1000 -Inf -> -1000
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111 | ddmng130 minmag -1 -Inf -> -1
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112 | ddmng131 minmag -0 -Inf -> -0
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113 | ddmng132 minmag 0 -Inf -> 0
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114 | ddmng133 minmag 1 -Inf -> 1
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115 | ddmng134 minmag 1000 -Inf -> 1000
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116 | ddmng135 minmag Inf -Inf -> -Infinity
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117 |
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118 | -- 2004.08.02 754r chooses number over NaN in mixed cases
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119 | ddmng141 minmag NaN -Inf -> -Infinity
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120 | ddmng142 minmag NaN -1000 -> -1000
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121 | ddmng143 minmag NaN -1 -> -1
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122 | ddmng144 minmag NaN -0 -> -0
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123 | ddmng145 minmag NaN 0 -> 0
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124 | ddmng146 minmag NaN 1 -> 1
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125 | ddmng147 minmag NaN 1000 -> 1000
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126 | ddmng148 minmag NaN Inf -> Infinity
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127 | ddmng149 minmag NaN NaN -> NaN
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128 | ddmng150 minmag -Inf NaN -> -Infinity
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129 | ddmng151 minmag -1000 NaN -> -1000
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130 | ddmng152 minmag -1 -NaN -> -1
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131 | ddmng153 minmag -0 NaN -> -0
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132 | ddmng154 minmag 0 -NaN -> 0
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133 | ddmng155 minmag 1 NaN -> 1
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134 | ddmng156 minmag 1000 NaN -> 1000
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135 | ddmng157 minmag Inf NaN -> Infinity
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136 |
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137 | ddmng161 minmag sNaN -Inf -> NaN Invalid_operation
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138 | ddmng162 minmag sNaN -1000 -> NaN Invalid_operation
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139 | ddmng163 minmag sNaN -1 -> NaN Invalid_operation
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140 | ddmng164 minmag sNaN -0 -> NaN Invalid_operation
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141 | ddmng165 minmag -sNaN 0 -> -NaN Invalid_operation
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142 | ddmng166 minmag -sNaN 1 -> -NaN Invalid_operation
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143 | ddmng167 minmag sNaN 1000 -> NaN Invalid_operation
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144 | ddmng168 minmag sNaN NaN -> NaN Invalid_operation
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145 | ddmng169 minmag sNaN sNaN -> NaN Invalid_operation
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146 | ddmng170 minmag NaN sNaN -> NaN Invalid_operation
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147 | ddmng171 minmag -Inf sNaN -> NaN Invalid_operation
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148 | ddmng172 minmag -1000 sNaN -> NaN Invalid_operation
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149 | ddmng173 minmag -1 sNaN -> NaN Invalid_operation
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150 | ddmng174 minmag -0 sNaN -> NaN Invalid_operation
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151 | ddmng175 minmag 0 sNaN -> NaN Invalid_operation
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152 | ddmng176 minmag 1 sNaN -> NaN Invalid_operation
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153 | ddmng177 minmag 1000 sNaN -> NaN Invalid_operation
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154 | ddmng178 minmag Inf sNaN -> NaN Invalid_operation
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155 | ddmng179 minmag NaN sNaN -> NaN Invalid_operation
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156 |
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157 | -- propagating NaNs
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158 | ddmng181 minmag NaN9 -Inf -> -Infinity
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159 | ddmng182 minmag -NaN8 9990 -> 9990
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160 | ddmng183 minmag NaN71 Inf -> Infinity
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161 |
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162 | ddmng184 minmag NaN1 NaN54 -> NaN1
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163 | ddmng185 minmag NaN22 -NaN53 -> NaN22
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164 | ddmng186 minmag -NaN3 NaN6 -> -NaN3
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165 | ddmng187 minmag -NaN44 NaN7 -> -NaN44
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166 |
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167 | ddmng188 minmag -Inf NaN41 -> -Infinity
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168 | ddmng189 minmag -9999 -NaN33 -> -9999
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169 | ddmng190 minmag Inf NaN2 -> Infinity
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170 |
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171 | ddmng191 minmag sNaN99 -Inf -> NaN99 Invalid_operation
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172 | ddmng192 minmag sNaN98 -11 -> NaN98 Invalid_operation
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173 | ddmng193 minmag -sNaN97 NaN8 -> -NaN97 Invalid_operation
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174 | ddmng194 minmag sNaN69 sNaN94 -> NaN69 Invalid_operation
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175 | ddmng195 minmag NaN95 sNaN93 -> NaN93 Invalid_operation
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176 | ddmng196 minmag -Inf sNaN92 -> NaN92 Invalid_operation
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177 | ddmng197 minmag 088 sNaN91 -> NaN91 Invalid_operation
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178 | ddmng198 minmag Inf -sNaN90 -> -NaN90 Invalid_operation
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179 | ddmng199 minmag NaN sNaN86 -> NaN86 Invalid_operation
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180 |
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181 | -- old rounding checks
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182 | ddmng221 minmag -12345678000 1 -> 1
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183 | ddmng222 minmag 1 -12345678000 -> 1
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184 | ddmng223 minmag -1234567800 1 -> 1
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185 | ddmng224 minmag 1 -1234567800 -> 1
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186 | ddmng225 minmag -1234567890 1 -> 1
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187 | ddmng226 minmag 1 -1234567890 -> 1
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188 | ddmng227 minmag -1234567891 1 -> 1
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189 | ddmng228 minmag 1 -1234567891 -> 1
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190 | ddmng229 minmag -12345678901 1 -> 1
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191 | ddmng230 minmag 1 -12345678901 -> 1
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192 | ddmng231 minmag -1234567896 1 -> 1
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193 | ddmng232 minmag 1 -1234567896 -> 1
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194 | ddmng233 minmag 1234567891 1 -> 1
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195 | ddmng234 minmag 1 1234567891 -> 1
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196 | ddmng235 minmag 12345678901 1 -> 1
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197 | ddmng236 minmag 1 12345678901 -> 1
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198 | ddmng237 minmag 1234567896 1 -> 1
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199 | ddmng238 minmag 1 1234567896 -> 1
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200 |
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201 | -- from examples
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202 | ddmng280 minmag '3' '2' -> '2'
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203 | ddmng281 minmag '-10' '3' -> '3'
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204 | ddmng282 minmag '1.0' '1' -> '1.0'
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205 | ddmng283 minmag '1' '1.0' -> '1.0'
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206 | ddmng284 minmag '7' 'NaN' -> '7'
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207 |
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208 | -- expanded list from min/max 754r purple prose
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209 | -- [explicit tests for exponent ordering]
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210 | ddmng401 minmag Inf 1.1 -> 1.1
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211 | ddmng402 minmag 1.1 1 -> 1
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212 | ddmng403 minmag 1 1.0 -> 1.0
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213 | ddmng404 minmag 1.0 0.1 -> 0.1
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214 | ddmng405 minmag 0.1 0.10 -> 0.10
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215 | ddmng406 minmag 0.10 0.100 -> 0.100
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216 | ddmng407 minmag 0.10 0 -> 0
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217 | ddmng408 minmag 0 0.0 -> 0.0
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218 | ddmng409 minmag 0.0 -0 -> -0
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219 | ddmng410 minmag 0.0 -0.0 -> -0.0
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220 | ddmng411 minmag 0.00 -0.0 -> -0.0
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221 | ddmng412 minmag 0.0 -0.00 -> -0.00
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222 | ddmng413 minmag 0 -0.0 -> -0.0
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223 | ddmng414 minmag 0 -0 -> -0
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224 | ddmng415 minmag -0.0 -0 -> -0
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225 | ddmng416 minmag -0 -0.100 -> -0
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226 | ddmng417 minmag -0.100 -0.10 -> -0.10
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227 | ddmng418 minmag -0.10 -0.1 -> -0.1
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228 | ddmng419 minmag -0.1 -1.0 -> -0.1
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229 | ddmng420 minmag -1.0 -1 -> -1
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230 | ddmng421 minmag -1 -1.1 -> -1
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231 | ddmng423 minmag -1.1 -Inf -> -1.1
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232 | -- same with operands reversed
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233 | ddmng431 minmag 1.1 Inf -> 1.1
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234 | ddmng432 minmag 1 1.1 -> 1
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235 | ddmng433 minmag 1.0 1 -> 1.0
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236 | ddmng434 minmag 0.1 1.0 -> 0.1
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237 | ddmng435 minmag 0.10 0.1 -> 0.10
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238 | ddmng436 minmag 0.100 0.10 -> 0.100
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239 | ddmng437 minmag 0 0.10 -> 0
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240 | ddmng438 minmag 0.0 0 -> 0.0
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241 | ddmng439 minmag -0 0.0 -> -0
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242 | ddmng440 minmag -0.0 0.0 -> -0.0
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243 | ddmng441 minmag -0.0 0.00 -> -0.0
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244 | ddmng442 minmag -0.00 0.0 -> -0.00
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245 | ddmng443 minmag -0.0 0 -> -0.0
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246 | ddmng444 minmag -0 0 -> -0
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247 | ddmng445 minmag -0 -0.0 -> -0
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248 | ddmng446 minmag -0.100 -0 -> -0
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249 | ddmng447 minmag -0.10 -0.100 -> -0.10
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250 | ddmng448 minmag -0.1 -0.10 -> -0.1
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251 | ddmng449 minmag -1.0 -0.1 -> -0.1
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252 | ddmng450 minmag -1 -1.0 -> -1
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253 | ddmng451 minmag -1.1 -1 -> -1
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254 | ddmng453 minmag -Inf -1.1 -> -1.1
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255 | -- largies
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256 | ddmng460 minmag 1000 1E+3 -> 1000
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257 | ddmng461 minmag 1E+3 1000 -> 1000
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258 | ddmng462 minmag 1000 -1E+3 -> -1E+3
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259 | ddmng463 minmag 1E+3 -384 -> -384
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260 | ddmng464 minmag -384 1E+3 -> -384
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261 | ddmng465 minmag -1E+3 1000 -> -1E+3
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262 | ddmng466 minmag -384 -1E+3 -> -384
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263 | ddmng467 minmag -1E+3 -384 -> -384
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264 |
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265 | -- subnormals
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266 | ddmng510 minmag 1.00E-383 0 -> 0
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267 | ddmng511 minmag 0.1E-383 0 -> 0
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268 | ddmng512 minmag 0.10E-383 0 -> 0
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269 | ddmng513 minmag 0.100E-383 0 -> 0
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270 | ddmng514 minmag 0.01E-383 0 -> 0
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271 | ddmng515 minmag 0.999E-383 0 -> 0
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272 | ddmng516 minmag 0.099E-383 0 -> 0
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273 | ddmng517 minmag 0.009E-383 0 -> 0
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274 | ddmng518 minmag 0.001E-383 0 -> 0
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275 | ddmng519 minmag 0.0009E-383 0 -> 0
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276 | ddmng520 minmag 0.0001E-383 0 -> 0
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277 |
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278 | ddmng530 minmag -1.00E-383 0 -> 0
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279 | ddmng531 minmag -0.1E-383 0 -> 0
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280 | ddmng532 minmag -0.10E-383 0 -> 0
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281 | ddmng533 minmag -0.100E-383 0 -> 0
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282 | ddmng534 minmag -0.01E-383 0 -> 0
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283 | ddmng535 minmag -0.999E-383 0 -> 0
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284 | ddmng536 minmag -0.099E-383 0 -> 0
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285 | ddmng537 minmag -0.009E-383 0 -> 0
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286 | ddmng538 minmag -0.001E-383 0 -> 0
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287 | ddmng539 minmag -0.0009E-383 0 -> 0
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288 | ddmng540 minmag -0.0001E-383 0 -> 0
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289 |
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290 |
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291 | -- Null tests
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292 | ddmng900 minmag 10 # -> NaN Invalid_operation
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293 | ddmng901 minmag # 10 -> NaN Invalid_operation
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