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1 ------------------------------------------------------------------------ |
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2 -- ddMinMag.decTest -- decDouble minnummag -- |
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3 -- Copyright (c) IBM Corporation, 1981, 2007. All rights reserved. -- |
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4 ------------------------------------------------------------------------ |
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5 -- Please see the document "General Decimal Arithmetic Testcases" -- |
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6 -- at http://www2.hursley.ibm.com/decimal for the description of -- |
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7 -- these testcases. -- |
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8 -- -- |
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9 -- These testcases are experimental ('beta' versions), and they -- |
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10 -- may contain errors. They are offered on an as-is basis. In -- |
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11 -- particular, achieving the same results as the tests here is not -- |
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12 -- a guarantee that an implementation complies with any Standard -- |
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13 -- or specification. The tests are not exhaustive. -- |
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14 -- -- |
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15 -- Please send comments, suggestions, and corrections to the author: -- |
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16 -- Mike Cowlishaw, IBM Fellow -- |
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17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- |
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18 -- mfc@uk.ibm.com -- |
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19 ------------------------------------------------------------------------ |
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20 version: 2.57 |
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21 |
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22 -- we assume that base comparison is tested in compare.decTest, so |
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23 -- these mainly cover special cases and rounding |
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24 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 |