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1 ------------------------------------------------------------------------ |
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2 -- ddMin.decTest -- decDouble minnum -- |
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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: 2.58 |
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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 ddmin001 min -2 -2 -> -2 |
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33 ddmin002 min -2 -1 -> -2 |
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34 ddmin003 min -2 0 -> -2 |
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35 ddmin004 min -2 1 -> -2 |
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36 ddmin005 min -2 2 -> -2 |
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37 ddmin006 min -1 -2 -> -2 |
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38 ddmin007 min -1 -1 -> -1 |
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39 ddmin008 min -1 0 -> -1 |
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40 ddmin009 min -1 1 -> -1 |
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41 ddmin010 min -1 2 -> -1 |
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42 ddmin011 min 0 -2 -> -2 |
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43 ddmin012 min 0 -1 -> -1 |
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44 ddmin013 min 0 0 -> 0 |
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45 ddmin014 min 0 1 -> 0 |
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46 ddmin015 min 0 2 -> 0 |
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47 ddmin016 min 1 -2 -> -2 |
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48 ddmin017 min 1 -1 -> -1 |
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49 ddmin018 min 1 0 -> 0 |
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50 ddmin019 min 1 1 -> 1 |
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51 ddmin020 min 1 2 -> 1 |
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52 ddmin021 min 2 -2 -> -2 |
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53 ddmin022 min 2 -1 -> -1 |
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54 ddmin023 min 2 0 -> 0 |
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55 ddmin025 min 2 1 -> 1 |
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56 ddmin026 min 2 2 -> 2 |
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57 |
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58 -- extended zeros |
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59 ddmin030 min 0 0 -> 0 |
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60 ddmin031 min 0 -0 -> -0 |
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61 ddmin032 min 0 -0.0 -> -0.0 |
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62 ddmin033 min 0 0.0 -> 0.0 |
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63 ddmin034 min -0 0 -> -0 |
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64 ddmin035 min -0 -0 -> -0 |
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65 ddmin036 min -0 -0.0 -> -0 |
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66 ddmin037 min -0 0.0 -> -0 |
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67 ddmin038 min 0.0 0 -> 0.0 |
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68 ddmin039 min 0.0 -0 -> -0 |
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69 ddmin040 min 0.0 -0.0 -> -0.0 |
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70 ddmin041 min 0.0 0.0 -> 0.0 |
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71 ddmin042 min -0.0 0 -> -0.0 |
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72 ddmin043 min -0.0 -0 -> -0 |
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73 ddmin044 min -0.0 -0.0 -> -0.0 |
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74 ddmin045 min -0.0 0.0 -> -0.0 |
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75 |
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76 ddmin046 min 0E1 -0E1 -> -0E+1 |
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77 ddmin047 min -0E1 0E2 -> -0E+1 |
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78 ddmin048 min 0E2 0E1 -> 0E+1 |
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79 ddmin049 min 0E1 0E2 -> 0E+1 |
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80 ddmin050 min -0E3 -0E2 -> -0E+3 |
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81 ddmin051 min -0E2 -0E3 -> -0E+3 |
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82 |
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83 -- Specials |
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84 ddmin090 min Inf -Inf -> -Infinity |
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85 ddmin091 min Inf -1000 -> -1000 |
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86 ddmin092 min Inf -1 -> -1 |
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87 ddmin093 min Inf -0 -> -0 |
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88 ddmin094 min Inf 0 -> 0 |
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89 ddmin095 min Inf 1 -> 1 |
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90 ddmin096 min Inf 1000 -> 1000 |
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91 ddmin097 min Inf Inf -> Infinity |
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92 ddmin098 min -1000 Inf -> -1000 |
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93 ddmin099 min -Inf Inf -> -Infinity |
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94 ddmin100 min -1 Inf -> -1 |
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95 ddmin101 min -0 Inf -> -0 |
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96 ddmin102 min 0 Inf -> 0 |
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97 ddmin103 min 1 Inf -> 1 |
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98 ddmin104 min 1000 Inf -> 1000 |
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99 ddmin105 min Inf Inf -> Infinity |
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100 |
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101 ddmin120 min -Inf -Inf -> -Infinity |
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102 ddmin121 min -Inf -1000 -> -Infinity |
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103 ddmin122 min -Inf -1 -> -Infinity |
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104 ddmin123 min -Inf -0 -> -Infinity |
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105 ddmin124 min -Inf 0 -> -Infinity |
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106 ddmin125 min -Inf 1 -> -Infinity |
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107 ddmin126 min -Inf 1000 -> -Infinity |
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108 ddmin127 min -Inf Inf -> -Infinity |
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109 ddmin128 min -Inf -Inf -> -Infinity |
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110 ddmin129 min -1000 -Inf -> -Infinity |
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111 ddmin130 min -1 -Inf -> -Infinity |
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112 ddmin131 min -0 -Inf -> -Infinity |
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113 ddmin132 min 0 -Inf -> -Infinity |
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114 ddmin133 min 1 -Inf -> -Infinity |
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115 ddmin134 min 1000 -Inf -> -Infinity |
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116 ddmin135 min 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 ddmin141 min NaN -Inf -> -Infinity |
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120 ddmin142 min NaN -1000 -> -1000 |
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121 ddmin143 min NaN -1 -> -1 |
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122 ddmin144 min NaN -0 -> -0 |
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123 ddmin145 min NaN 0 -> 0 |
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124 ddmin146 min NaN 1 -> 1 |
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125 ddmin147 min NaN 1000 -> 1000 |
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126 ddmin148 min NaN Inf -> Infinity |
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127 ddmin149 min NaN NaN -> NaN |
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128 ddmin150 min -Inf NaN -> -Infinity |
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129 ddmin151 min -1000 NaN -> -1000 |
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130 ddmin152 min -1 -NaN -> -1 |
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131 ddmin153 min -0 NaN -> -0 |
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132 ddmin154 min 0 -NaN -> 0 |
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133 ddmin155 min 1 NaN -> 1 |
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134 ddmin156 min 1000 NaN -> 1000 |
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135 ddmin157 min Inf NaN -> Infinity |
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136 |
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137 ddmin161 min sNaN -Inf -> NaN Invalid_operation |
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138 ddmin162 min sNaN -1000 -> NaN Invalid_operation |
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139 ddmin163 min sNaN -1 -> NaN Invalid_operation |
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140 ddmin164 min sNaN -0 -> NaN Invalid_operation |
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141 ddmin165 min -sNaN 0 -> -NaN Invalid_operation |
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142 ddmin166 min -sNaN 1 -> -NaN Invalid_operation |
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143 ddmin167 min sNaN 1000 -> NaN Invalid_operation |
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144 ddmin168 min sNaN NaN -> NaN Invalid_operation |
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145 ddmin169 min sNaN sNaN -> NaN Invalid_operation |
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146 ddmin170 min NaN sNaN -> NaN Invalid_operation |
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147 ddmin171 min -Inf sNaN -> NaN Invalid_operation |
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148 ddmin172 min -1000 sNaN -> NaN Invalid_operation |
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149 ddmin173 min -1 sNaN -> NaN Invalid_operation |
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150 ddmin174 min -0 sNaN -> NaN Invalid_operation |
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151 ddmin175 min 0 sNaN -> NaN Invalid_operation |
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152 ddmin176 min 1 sNaN -> NaN Invalid_operation |
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153 ddmin177 min 1000 sNaN -> NaN Invalid_operation |
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154 ddmin178 min Inf sNaN -> NaN Invalid_operation |
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155 ddmin179 min NaN sNaN -> NaN Invalid_operation |
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156 |
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157 -- propagating NaNs |
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158 ddmin181 min NaN9 -Inf -> -Infinity |
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159 ddmin182 min -NaN8 9990 -> 9990 |
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160 ddmin183 min NaN71 Inf -> Infinity |
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161 |
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162 ddmin184 min NaN1 NaN54 -> NaN1 |
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163 ddmin185 min NaN22 -NaN53 -> NaN22 |
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164 ddmin186 min -NaN3 NaN6 -> -NaN3 |
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165 ddmin187 min -NaN44 NaN7 -> -NaN44 |
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166 |
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167 ddmin188 min -Inf NaN41 -> -Infinity |
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168 ddmin189 min -9999 -NaN33 -> -9999 |
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169 ddmin190 min Inf NaN2 -> Infinity |
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170 |
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171 ddmin191 min sNaN99 -Inf -> NaN99 Invalid_operation |
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172 ddmin192 min sNaN98 -11 -> NaN98 Invalid_operation |
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173 ddmin193 min -sNaN97 NaN8 -> -NaN97 Invalid_operation |
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174 ddmin194 min sNaN69 sNaN94 -> NaN69 Invalid_operation |
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175 ddmin195 min NaN95 sNaN93 -> NaN93 Invalid_operation |
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176 ddmin196 min -Inf sNaN92 -> NaN92 Invalid_operation |
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177 ddmin197 min 088 sNaN91 -> NaN91 Invalid_operation |
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178 ddmin198 min Inf -sNaN90 -> -NaN90 Invalid_operation |
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179 ddmin199 min NaN sNaN86 -> NaN86 Invalid_operation |
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180 |
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181 -- old rounding checks |
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182 ddmin221 min -12345678000 1 -> -12345678000 |
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183 ddmin222 min 1 -12345678000 -> -12345678000 |
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184 ddmin223 min -1234567800 1 -> -1234567800 |
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185 ddmin224 min 1 -1234567800 -> -1234567800 |
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186 ddmin225 min -1234567890 1 -> -1234567890 |
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187 ddmin226 min 1 -1234567890 -> -1234567890 |
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188 ddmin227 min -1234567891 1 -> -1234567891 |
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189 ddmin228 min 1 -1234567891 -> -1234567891 |
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190 ddmin229 min -12345678901 1 -> -12345678901 |
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191 ddmin230 min 1 -12345678901 -> -12345678901 |
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192 ddmin231 min -1234567896 1 -> -1234567896 |
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193 ddmin232 min 1 -1234567896 -> -1234567896 |
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194 ddmin233 min 1234567891 1 -> 1 |
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195 ddmin234 min 1 1234567891 -> 1 |
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196 ddmin235 min 12345678901 1 -> 1 |
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197 ddmin236 min 1 12345678901 -> 1 |
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198 ddmin237 min 1234567896 1 -> 1 |
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199 ddmin238 min 1 1234567896 -> 1 |
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200 |
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201 -- from examples |
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202 ddmin280 min '3' '2' -> '2' |
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203 ddmin281 min '-10' '3' -> '-10' |
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204 ddmin282 min '1.0' '1' -> '1.0' |
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205 ddmin283 min '1' '1.0' -> '1.0' |
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206 ddmin284 min '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 ddmin401 min Inf 1.1 -> 1.1 |
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211 ddmin402 min 1.1 1 -> 1 |
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212 ddmin403 min 1 1.0 -> 1.0 |
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213 ddmin404 min 1.0 0.1 -> 0.1 |
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214 ddmin405 min 0.1 0.10 -> 0.10 |
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215 ddmin406 min 0.10 0.100 -> 0.100 |
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216 ddmin407 min 0.10 0 -> 0 |
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217 ddmin408 min 0 0.0 -> 0.0 |
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218 ddmin409 min 0.0 -0 -> -0 |
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219 ddmin410 min 0.0 -0.0 -> -0.0 |
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220 ddmin411 min 0.00 -0.0 -> -0.0 |
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221 ddmin412 min 0.0 -0.00 -> -0.00 |
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222 ddmin413 min 0 -0.0 -> -0.0 |
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223 ddmin414 min 0 -0 -> -0 |
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224 ddmin415 min -0.0 -0 -> -0 |
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225 ddmin416 min -0 -0.100 -> -0.100 |
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226 ddmin417 min -0.100 -0.10 -> -0.10 |
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227 ddmin418 min -0.10 -0.1 -> -0.1 |
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228 ddmin419 min -0.1 -1.0 -> -1.0 |
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229 ddmin420 min -1.0 -1 -> -1 |
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230 ddmin421 min -1 -1.1 -> -1.1 |
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231 ddmin423 min -1.1 -Inf -> -Infinity |
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232 -- same with operands reversed |
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233 ddmin431 min 1.1 Inf -> 1.1 |
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234 ddmin432 min 1 1.1 -> 1 |
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235 ddmin433 min 1.0 1 -> 1.0 |
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236 ddmin434 min 0.1 1.0 -> 0.1 |
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237 ddmin435 min 0.10 0.1 -> 0.10 |
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238 ddmin436 min 0.100 0.10 -> 0.100 |
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239 ddmin437 min 0 0.10 -> 0 |
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240 ddmin438 min 0.0 0 -> 0.0 |
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241 ddmin439 min -0 0.0 -> -0 |
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242 ddmin440 min -0.0 0.0 -> -0.0 |
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243 ddmin441 min -0.0 0.00 -> -0.0 |
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244 ddmin442 min -0.00 0.0 -> -0.00 |
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245 ddmin443 min -0.0 0 -> -0.0 |
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246 ddmin444 min -0 0 -> -0 |
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247 ddmin445 min -0 -0.0 -> -0 |
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248 ddmin446 min -0.100 -0 -> -0.100 |
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249 ddmin447 min -0.10 -0.100 -> -0.10 |
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250 ddmin448 min -0.1 -0.10 -> -0.1 |
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251 ddmin449 min -1.0 -0.1 -> -1.0 |
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252 ddmin450 min -1 -1.0 -> -1 |
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253 ddmin451 min -1.1 -1 -> -1.1 |
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254 ddmin453 min -Inf -1.1 -> -Infinity |
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255 -- largies |
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256 ddmin460 min 1000 1E+3 -> 1000 |
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257 ddmin461 min 1E+3 1000 -> 1000 |
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258 ddmin462 min 1000 -1E+3 -> -1E+3 |
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259 ddmin463 min 1E+3 -384 -> -384 |
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260 ddmin464 min -384 1E+3 -> -384 |
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261 ddmin465 min -1E+3 1000 -> -1E+3 |
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262 ddmin466 min -384 -1E+3 -> -1E+3 |
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263 ddmin467 min -1E+3 -384 -> -1E+3 |
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264 |
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265 -- misalignment traps for little-endian |
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266 ddmin471 min 1.0 0.1 -> 0.1 |
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267 ddmin472 min 0.1 1.0 -> 0.1 |
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268 ddmin473 min 10.0 0.1 -> 0.1 |
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269 ddmin474 min 0.1 10.0 -> 0.1 |
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270 ddmin475 min 100 1.0 -> 1.0 |
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271 ddmin476 min 1.0 100 -> 1.0 |
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272 ddmin477 min 1000 10.0 -> 10.0 |
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273 ddmin478 min 10.0 1000 -> 10.0 |
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274 ddmin479 min 10000 100.0 -> 100.0 |
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275 ddmin480 min 100.0 10000 -> 100.0 |
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276 ddmin481 min 100000 1000.0 -> 1000.0 |
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277 ddmin482 min 1000.0 100000 -> 1000.0 |
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278 ddmin483 min 1000000 10000.0 -> 10000.0 |
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279 ddmin484 min 10000.0 1000000 -> 10000.0 |
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280 |
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281 -- subnormals |
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282 ddmin510 min 1.00E-383 0 -> 0 |
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283 ddmin511 min 0.1E-383 0 -> 0 |
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284 ddmin512 min 0.10E-383 0 -> 0 |
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285 ddmin513 min 0.100E-383 0 -> 0 |
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286 ddmin514 min 0.01E-383 0 -> 0 |
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287 ddmin515 min 0.999E-383 0 -> 0 |
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288 ddmin516 min 0.099E-383 0 -> 0 |
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289 ddmin517 min 0.009E-383 0 -> 0 |
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290 ddmin518 min 0.001E-383 0 -> 0 |
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291 ddmin519 min 0.0009E-383 0 -> 0 |
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292 ddmin520 min 0.0001E-383 0 -> 0 |
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293 |
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294 ddmin530 min -1.00E-383 0 -> -1.00E-383 |
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295 ddmin531 min -0.1E-383 0 -> -1E-384 Subnormal |
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296 ddmin532 min -0.10E-383 0 -> -1.0E-384 Subnormal |
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297 ddmin533 min -0.100E-383 0 -> -1.00E-384 Subnormal |
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298 ddmin534 min -0.01E-383 0 -> -1E-385 Subnormal |
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299 ddmin535 min -0.999E-383 0 -> -9.99E-384 Subnormal |
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300 ddmin536 min -0.099E-383 0 -> -9.9E-385 Subnormal |
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301 ddmin537 min -0.009E-383 0 -> -9E-386 Subnormal |
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302 ddmin538 min -0.001E-383 0 -> -1E-386 Subnormal |
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303 ddmin539 min -0.0009E-383 0 -> -9E-387 Subnormal |
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304 ddmin540 min -0.0001E-383 0 -> -1E-387 Subnormal |
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305 |
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306 |
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307 -- Null tests |
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308 ddmin900 min 10 # -> NaN Invalid_operation |
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309 ddmin901 min # 10 -> NaN Invalid_operation |