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1 ------------------------------------------------------------------------ |
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2 -- ddAdd.decTest -- decDouble addition -- |
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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 -- This set of tests are for decDoubles only; all arguments are |
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23 -- representable in a decDouble |
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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 -- [first group are 'quick confidence check'] |
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32 ddadd001 add 1 1 -> 2 |
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33 ddadd002 add 2 3 -> 5 |
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34 ddadd003 add '5.75' '3.3' -> 9.05 |
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35 ddadd004 add '5' '-3' -> 2 |
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36 ddadd005 add '-5' '-3' -> -8 |
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37 ddadd006 add '-7' '2.5' -> -4.5 |
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38 ddadd007 add '0.7' '0.3' -> 1.0 |
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39 ddadd008 add '1.25' '1.25' -> 2.50 |
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40 ddadd009 add '1.23456789' '1.00000000' -> '2.23456789' |
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41 ddadd010 add '1.23456789' '1.00000011' -> '2.23456800' |
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42 |
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43 -- 1234567890123456 1234567890123456 |
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44 ddadd011 add '0.4444444444444446' '0.5555555555555555' -> '1.000000000000000' Inexact Rounded |
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45 ddadd012 add '0.4444444444444445' '0.5555555555555555' -> '1.000000000000000' Rounded |
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46 ddadd013 add '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999' |
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47 ddadd014 add '4444444444444444' '0.49' -> '4444444444444444' Inexact Rounded |
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48 ddadd015 add '4444444444444444' '0.499' -> '4444444444444444' Inexact Rounded |
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49 ddadd016 add '4444444444444444' '0.4999' -> '4444444444444444' Inexact Rounded |
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50 ddadd017 add '4444444444444444' '0.5000' -> '4444444444444444' Inexact Rounded |
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51 ddadd018 add '4444444444444444' '0.5001' -> '4444444444444445' Inexact Rounded |
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52 ddadd019 add '4444444444444444' '0.501' -> '4444444444444445' Inexact Rounded |
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53 ddadd020 add '4444444444444444' '0.51' -> '4444444444444445' Inexact Rounded |
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54 |
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55 ddadd021 add 0 1 -> 1 |
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56 ddadd022 add 1 1 -> 2 |
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57 ddadd023 add 2 1 -> 3 |
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58 ddadd024 add 3 1 -> 4 |
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59 ddadd025 add 4 1 -> 5 |
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60 ddadd026 add 5 1 -> 6 |
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61 ddadd027 add 6 1 -> 7 |
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62 ddadd028 add 7 1 -> 8 |
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63 ddadd029 add 8 1 -> 9 |
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64 ddadd030 add 9 1 -> 10 |
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65 |
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66 -- some carrying effects |
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67 ddadd031 add '0.9998' '0.0000' -> '0.9998' |
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68 ddadd032 add '0.9998' '0.0001' -> '0.9999' |
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69 ddadd033 add '0.9998' '0.0002' -> '1.0000' |
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70 ddadd034 add '0.9998' '0.0003' -> '1.0001' |
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71 |
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72 ddadd035 add '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded |
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73 ddadd036 add '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded |
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74 ddadd037 add '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded |
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75 ddadd038 add '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded |
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76 ddadd039 add '700000' '10000e+16' -> '1.000000000000007E+20' Rounded |
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77 |
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78 -- symmetry: |
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79 ddadd040 add '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded |
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80 ddadd041 add '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded |
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81 ddadd042 add '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded |
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82 ddadd044 add '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded |
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83 ddadd045 add '10000e+16' '700000' -> '1.000000000000007E+20' Rounded |
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84 |
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85 -- same, without rounding |
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86 ddadd046 add '10000e+9' '7' -> '10000000000007' |
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87 ddadd047 add '10000e+9' '70' -> '10000000000070' |
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88 ddadd048 add '10000e+9' '700' -> '10000000000700' |
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89 ddadd049 add '10000e+9' '7000' -> '10000000007000' |
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90 ddadd050 add '10000e+9' '70000' -> '10000000070000' |
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91 ddadd051 add '10000e+9' '700000' -> '10000000700000' |
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92 ddadd052 add '10000e+9' '7000000' -> '10000007000000' |
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93 |
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94 -- examples from decarith |
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95 ddadd053 add '12' '7.00' -> '19.00' |
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96 ddadd054 add '1.3' '-1.07' -> '0.23' |
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97 ddadd055 add '1.3' '-1.30' -> '0.00' |
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98 ddadd056 add '1.3' '-2.07' -> '-0.77' |
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99 ddadd057 add '1E+2' '1E+4' -> '1.01E+4' |
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100 |
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101 -- leading zero preservation |
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102 ddadd061 add 1 '0.0001' -> '1.0001' |
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103 ddadd062 add 1 '0.00001' -> '1.00001' |
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104 ddadd063 add 1 '0.000001' -> '1.000001' |
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105 ddadd064 add 1 '0.0000001' -> '1.0000001' |
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106 ddadd065 add 1 '0.00000001' -> '1.00000001' |
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107 |
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108 -- some funny zeros [in case of bad signum] |
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109 ddadd070 add 1 0 -> 1 |
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110 ddadd071 add 1 0. -> 1 |
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111 ddadd072 add 1 .0 -> 1.0 |
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112 ddadd073 add 1 0.0 -> 1.0 |
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113 ddadd074 add 1 0.00 -> 1.00 |
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114 ddadd075 add 0 1 -> 1 |
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115 ddadd076 add 0. 1 -> 1 |
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116 ddadd077 add .0 1 -> 1.0 |
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117 ddadd078 add 0.0 1 -> 1.0 |
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118 ddadd079 add 0.00 1 -> 1.00 |
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119 |
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120 -- some carries |
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121 ddadd080 add 999999998 1 -> 999999999 |
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122 ddadd081 add 999999999 1 -> 1000000000 |
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123 ddadd082 add 99999999 1 -> 100000000 |
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124 ddadd083 add 9999999 1 -> 10000000 |
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125 ddadd084 add 999999 1 -> 1000000 |
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126 ddadd085 add 99999 1 -> 100000 |
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127 ddadd086 add 9999 1 -> 10000 |
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128 ddadd087 add 999 1 -> 1000 |
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129 ddadd088 add 99 1 -> 100 |
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130 ddadd089 add 9 1 -> 10 |
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131 |
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132 |
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133 -- more LHS swaps |
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134 ddadd090 add '-56267E-10' 0 -> '-0.0000056267' |
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135 ddadd091 add '-56267E-6' 0 -> '-0.056267' |
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136 ddadd092 add '-56267E-5' 0 -> '-0.56267' |
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137 ddadd093 add '-56267E-4' 0 -> '-5.6267' |
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138 ddadd094 add '-56267E-3' 0 -> '-56.267' |
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139 ddadd095 add '-56267E-2' 0 -> '-562.67' |
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140 ddadd096 add '-56267E-1' 0 -> '-5626.7' |
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141 ddadd097 add '-56267E-0' 0 -> '-56267' |
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142 ddadd098 add '-5E-10' 0 -> '-5E-10' |
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143 ddadd099 add '-5E-7' 0 -> '-5E-7' |
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144 ddadd100 add '-5E-6' 0 -> '-0.000005' |
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145 ddadd101 add '-5E-5' 0 -> '-0.00005' |
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146 ddadd102 add '-5E-4' 0 -> '-0.0005' |
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147 ddadd103 add '-5E-1' 0 -> '-0.5' |
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148 ddadd104 add '-5E0' 0 -> '-5' |
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149 ddadd105 add '-5E1' 0 -> '-50' |
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150 ddadd106 add '-5E5' 0 -> '-500000' |
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151 ddadd107 add '-5E15' 0 -> '-5000000000000000' |
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152 ddadd108 add '-5E16' 0 -> '-5.000000000000000E+16' Rounded |
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153 ddadd109 add '-5E17' 0 -> '-5.000000000000000E+17' Rounded |
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154 ddadd110 add '-5E18' 0 -> '-5.000000000000000E+18' Rounded |
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155 ddadd111 add '-5E100' 0 -> '-5.000000000000000E+100' Rounded |
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156 |
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157 -- more RHS swaps |
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158 ddadd113 add 0 '-56267E-10' -> '-0.0000056267' |
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159 ddadd114 add 0 '-56267E-6' -> '-0.056267' |
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160 ddadd116 add 0 '-56267E-5' -> '-0.56267' |
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161 ddadd117 add 0 '-56267E-4' -> '-5.6267' |
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162 ddadd119 add 0 '-56267E-3' -> '-56.267' |
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163 ddadd120 add 0 '-56267E-2' -> '-562.67' |
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164 ddadd121 add 0 '-56267E-1' -> '-5626.7' |
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165 ddadd122 add 0 '-56267E-0' -> '-56267' |
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166 ddadd123 add 0 '-5E-10' -> '-5E-10' |
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167 ddadd124 add 0 '-5E-7' -> '-5E-7' |
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168 ddadd125 add 0 '-5E-6' -> '-0.000005' |
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169 ddadd126 add 0 '-5E-5' -> '-0.00005' |
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170 ddadd127 add 0 '-5E-4' -> '-0.0005' |
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171 ddadd128 add 0 '-5E-1' -> '-0.5' |
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172 ddadd129 add 0 '-5E0' -> '-5' |
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173 ddadd130 add 0 '-5E1' -> '-50' |
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174 ddadd131 add 0 '-5E5' -> '-500000' |
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175 ddadd132 add 0 '-5E15' -> '-5000000000000000' |
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176 ddadd133 add 0 '-5E16' -> '-5.000000000000000E+16' Rounded |
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177 ddadd134 add 0 '-5E17' -> '-5.000000000000000E+17' Rounded |
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178 ddadd135 add 0 '-5E18' -> '-5.000000000000000E+18' Rounded |
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179 ddadd136 add 0 '-5E100' -> '-5.000000000000000E+100' Rounded |
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180 |
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181 -- related |
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182 ddadd137 add 1 '0E-19' -> '1.000000000000000' Rounded |
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183 ddadd138 add -1 '0E-19' -> '-1.000000000000000' Rounded |
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184 ddadd139 add '0E-19' 1 -> '1.000000000000000' Rounded |
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185 ddadd140 add '0E-19' -1 -> '-1.000000000000000' Rounded |
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186 ddadd141 add 1E+11 0.0000 -> '100000000000.0000' |
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187 ddadd142 add 1E+11 0.00000 -> '100000000000.0000' Rounded |
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188 ddadd143 add 0.000 1E+12 -> '1000000000000.000' |
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189 ddadd144 add 0.0000 1E+12 -> '1000000000000.000' Rounded |
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190 |
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191 -- [some of the next group are really constructor tests] |
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192 ddadd146 add '00.0' 0 -> '0.0' |
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193 ddadd147 add '0.00' 0 -> '0.00' |
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194 ddadd148 add 0 '0.00' -> '0.00' |
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195 ddadd149 add 0 '00.0' -> '0.0' |
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196 ddadd150 add '00.0' '0.00' -> '0.00' |
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197 ddadd151 add '0.00' '00.0' -> '0.00' |
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198 ddadd152 add '3' '.3' -> '3.3' |
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199 ddadd153 add '3.' '.3' -> '3.3' |
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200 ddadd154 add '3.0' '.3' -> '3.3' |
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201 ddadd155 add '3.00' '.3' -> '3.30' |
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202 ddadd156 add '3' '3' -> '6' |
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203 ddadd157 add '3' '+3' -> '6' |
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204 ddadd158 add '3' '-3' -> '0' |
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205 ddadd159 add '0.3' '-0.3' -> '0.0' |
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206 ddadd160 add '0.03' '-0.03' -> '0.00' |
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207 |
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208 -- try borderline precision, with carries, etc. |
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209 ddadd161 add '1E+12' '-1' -> '999999999999' |
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210 ddadd162 add '1E+12' '1.11' -> '1000000000001.11' |
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211 ddadd163 add '1.11' '1E+12' -> '1000000000001.11' |
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212 ddadd164 add '-1' '1E+12' -> '999999999999' |
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213 ddadd165 add '7E+12' '-1' -> '6999999999999' |
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214 ddadd166 add '7E+12' '1.11' -> '7000000000001.11' |
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215 ddadd167 add '1.11' '7E+12' -> '7000000000001.11' |
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216 ddadd168 add '-1' '7E+12' -> '6999999999999' |
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217 |
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218 rounding: half_up |
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219 -- 1.234567890123456 1234567890123456 1 234567890123456 |
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220 ddadd170 add '4.444444444444444' '0.5555555555555567' -> '5.000000000000001' Inexact Rounded |
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221 ddadd171 add '4.444444444444444' '0.5555555555555566' -> '5.000000000000001' Inexact Rounded |
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222 ddadd172 add '4.444444444444444' '0.5555555555555565' -> '5.000000000000001' Inexact Rounded |
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223 ddadd173 add '4.444444444444444' '0.5555555555555564' -> '5.000000000000000' Inexact Rounded |
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224 ddadd174 add '4.444444444444444' '0.5555555555555553' -> '4.999999999999999' Inexact Rounded |
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225 ddadd175 add '4.444444444444444' '0.5555555555555552' -> '4.999999999999999' Inexact Rounded |
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226 ddadd176 add '4.444444444444444' '0.5555555555555551' -> '4.999999999999999' Inexact Rounded |
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227 ddadd177 add '4.444444444444444' '0.5555555555555550' -> '4.999999999999999' Rounded |
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228 ddadd178 add '4.444444444444444' '0.5555555555555545' -> '4.999999999999999' Inexact Rounded |
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229 ddadd179 add '4.444444444444444' '0.5555555555555544' -> '4.999999999999998' Inexact Rounded |
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230 ddadd180 add '4.444444444444444' '0.5555555555555543' -> '4.999999999999998' Inexact Rounded |
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231 ddadd181 add '4.444444444444444' '0.5555555555555542' -> '4.999999999999998' Inexact Rounded |
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232 ddadd182 add '4.444444444444444' '0.5555555555555541' -> '4.999999999999998' Inexact Rounded |
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233 ddadd183 add '4.444444444444444' '0.5555555555555540' -> '4.999999999999998' Rounded |
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234 |
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235 -- and some more, including residue effects and different roundings |
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236 rounding: half_up |
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237 ddadd200 add '1234560123456789' 0 -> '1234560123456789' |
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238 ddadd201 add '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded |
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239 ddadd202 add '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded |
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240 ddadd203 add '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded |
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241 ddadd204 add '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded |
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242 ddadd205 add '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded |
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243 ddadd206 add '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded |
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244 ddadd207 add '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded |
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245 ddadd208 add '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded |
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246 ddadd209 add '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded |
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247 ddadd210 add '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded |
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248 ddadd211 add '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded |
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249 ddadd212 add '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded |
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250 ddadd213 add '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded |
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251 ddadd214 add '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded |
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252 ddadd215 add '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded |
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253 ddadd216 add '1234560123456789' 1 -> '1234560123456790' |
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254 ddadd217 add '1234560123456789' 1.000000001 -> '1234560123456790' Inexact Rounded |
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255 ddadd218 add '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded |
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256 ddadd219 add '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded |
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257 |
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258 rounding: half_even |
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259 ddadd220 add '1234560123456789' 0 -> '1234560123456789' |
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260 ddadd221 add '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded |
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261 ddadd222 add '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded |
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262 ddadd223 add '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded |
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263 ddadd224 add '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded |
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264 ddadd225 add '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded |
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265 ddadd226 add '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded |
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266 ddadd227 add '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded |
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267 ddadd228 add '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded |
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268 ddadd229 add '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded |
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269 ddadd230 add '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded |
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270 ddadd231 add '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded |
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271 ddadd232 add '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded |
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272 ddadd233 add '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded |
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273 ddadd234 add '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded |
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274 ddadd235 add '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded |
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275 ddadd236 add '1234560123456789' 1 -> '1234560123456790' |
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276 ddadd237 add '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded |
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277 ddadd238 add '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded |
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278 ddadd239 add '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded |
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279 -- critical few with even bottom digit... |
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280 ddadd240 add '1234560123456788' 0.499999999 -> '1234560123456788' Inexact Rounded |
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281 ddadd241 add '1234560123456788' 0.5 -> '1234560123456788' Inexact Rounded |
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282 ddadd242 add '1234560123456788' 0.500000001 -> '1234560123456789' Inexact Rounded |
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283 |
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284 rounding: down |
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285 ddadd250 add '1234560123456789' 0 -> '1234560123456789' |
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286 ddadd251 add '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded |
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287 ddadd252 add '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded |
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288 ddadd253 add '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded |
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289 ddadd254 add '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded |
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290 ddadd255 add '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded |
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291 ddadd256 add '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded |
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292 ddadd257 add '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded |
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293 ddadd258 add '1234560123456789' 0.5 -> '1234560123456789' Inexact Rounded |
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294 ddadd259 add '1234560123456789' 0.500000001 -> '1234560123456789' Inexact Rounded |
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295 ddadd260 add '1234560123456789' 0.500001 -> '1234560123456789' Inexact Rounded |
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296 ddadd261 add '1234560123456789' 0.51 -> '1234560123456789' Inexact Rounded |
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297 ddadd262 add '1234560123456789' 0.6 -> '1234560123456789' Inexact Rounded |
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298 ddadd263 add '1234560123456789' 0.9 -> '1234560123456789' Inexact Rounded |
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299 ddadd264 add '1234560123456789' 0.99999 -> '1234560123456789' Inexact Rounded |
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300 ddadd265 add '1234560123456789' 0.999999999 -> '1234560123456789' Inexact Rounded |
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301 ddadd266 add '1234560123456789' 1 -> '1234560123456790' |
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302 ddadd267 add '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded |
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303 ddadd268 add '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded |
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304 ddadd269 add '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded |
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305 |
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306 -- 1 in last place tests |
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307 rounding: half_up |
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308 ddadd301 add -1 1 -> 0 |
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309 ddadd302 add 0 1 -> 1 |
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310 ddadd303 add 1 1 -> 2 |
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311 ddadd304 add 12 1 -> 13 |
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312 ddadd305 add 98 1 -> 99 |
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313 ddadd306 add 99 1 -> 100 |
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314 ddadd307 add 100 1 -> 101 |
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315 ddadd308 add 101 1 -> 102 |
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316 ddadd309 add -1 -1 -> -2 |
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317 ddadd310 add 0 -1 -> -1 |
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318 ddadd311 add 1 -1 -> 0 |
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319 ddadd312 add 12 -1 -> 11 |
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320 ddadd313 add 98 -1 -> 97 |
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321 ddadd314 add 99 -1 -> 98 |
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322 ddadd315 add 100 -1 -> 99 |
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323 ddadd316 add 101 -1 -> 100 |
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324 |
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325 ddadd321 add -0.01 0.01 -> 0.00 |
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326 ddadd322 add 0.00 0.01 -> 0.01 |
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327 ddadd323 add 0.01 0.01 -> 0.02 |
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328 ddadd324 add 0.12 0.01 -> 0.13 |
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329 ddadd325 add 0.98 0.01 -> 0.99 |
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330 ddadd326 add 0.99 0.01 -> 1.00 |
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331 ddadd327 add 1.00 0.01 -> 1.01 |
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332 ddadd328 add 1.01 0.01 -> 1.02 |
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333 ddadd329 add -0.01 -0.01 -> -0.02 |
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334 ddadd330 add 0.00 -0.01 -> -0.01 |
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335 ddadd331 add 0.01 -0.01 -> 0.00 |
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336 ddadd332 add 0.12 -0.01 -> 0.11 |
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337 ddadd333 add 0.98 -0.01 -> 0.97 |
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338 ddadd334 add 0.99 -0.01 -> 0.98 |
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339 ddadd335 add 1.00 -0.01 -> 0.99 |
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340 ddadd336 add 1.01 -0.01 -> 1.00 |
|
341 |
|
342 -- some more cases where adding 0 affects the coefficient |
|
343 ddadd340 add 1E+3 0 -> 1000 |
|
344 ddadd341 add 1E+15 0 -> 1000000000000000 |
|
345 ddadd342 add 1E+16 0 -> 1.000000000000000E+16 Rounded |
|
346 ddadd343 add 1E+20 0 -> 1.000000000000000E+20 Rounded |
|
347 -- which simply follow from these cases ... |
|
348 ddadd344 add 1E+3 1 -> 1001 |
|
349 ddadd345 add 1E+15 1 -> 1000000000000001 |
|
350 ddadd346 add 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded |
|
351 ddadd347 add 1E+20 1 -> 1.000000000000000E+20 Inexact Rounded |
|
352 ddadd348 add 1E+3 7 -> 1007 |
|
353 ddadd349 add 1E+15 7 -> 1000000000000007 |
|
354 ddadd350 add 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded |
|
355 ddadd351 add 1E+20 7 -> 1.000000000000000E+20 Inexact Rounded |
|
356 |
|
357 -- tryzeros cases |
|
358 rounding: half_up |
|
359 ddadd360 add 0E+50 10000E+1 -> 1.0000E+5 |
|
360 ddadd361 add 0E-50 10000E+1 -> 100000.0000000000 Rounded |
|
361 ddadd362 add 10000E+1 0E-50 -> 100000.0000000000 Rounded |
|
362 ddadd363 add 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact |
|
363 ddadd364 add 9.999999999999999E+384 -9.999999999999999E+384 -> 0E+369 |
|
364 |
|
365 -- a curiosity from JSR 13 testing |
|
366 rounding: half_down |
|
367 ddadd370 add 999999999999999 815 -> 1000000000000814 |
|
368 ddadd371 add 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact |
|
369 rounding: half_up |
|
370 ddadd372 add 999999999999999 815 -> 1000000000000814 |
|
371 ddadd373 add 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact |
|
372 rounding: half_even |
|
373 ddadd374 add 999999999999999 815 -> 1000000000000814 |
|
374 ddadd375 add 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact |
|
375 |
|
376 -- operands folded |
|
377 ddadd380 add 1E+384 1E+384 -> 2.000000000000000E+384 Clamped |
|
378 ddadd381 add 1E+380 1E+380 -> 2.00000000000E+380 Clamped |
|
379 ddadd382 add 1E+376 1E+376 -> 2.0000000E+376 Clamped |
|
380 ddadd383 add 1E+372 1E+372 -> 2.000E+372 Clamped |
|
381 ddadd384 add 1E+370 1E+370 -> 2.0E+370 Clamped |
|
382 ddadd385 add 1E+369 1E+369 -> 2E+369 |
|
383 ddadd386 add 1E+368 1E+368 -> 2E+368 |
|
384 |
|
385 -- ulp replacement tests |
|
386 ddadd400 add 1 77e-14 -> 1.00000000000077 |
|
387 ddadd401 add 1 77e-15 -> 1.000000000000077 |
|
388 ddadd402 add 1 77e-16 -> 1.000000000000008 Inexact Rounded |
|
389 ddadd403 add 1 77e-17 -> 1.000000000000001 Inexact Rounded |
|
390 ddadd404 add 1 77e-18 -> 1.000000000000000 Inexact Rounded |
|
391 ddadd405 add 1 77e-19 -> 1.000000000000000 Inexact Rounded |
|
392 ddadd406 add 1 77e-299 -> 1.000000000000000 Inexact Rounded |
|
393 |
|
394 ddadd410 add 10 77e-14 -> 10.00000000000077 |
|
395 ddadd411 add 10 77e-15 -> 10.00000000000008 Inexact Rounded |
|
396 ddadd412 add 10 77e-16 -> 10.00000000000001 Inexact Rounded |
|
397 ddadd413 add 10 77e-17 -> 10.00000000000000 Inexact Rounded |
|
398 ddadd414 add 10 77e-18 -> 10.00000000000000 Inexact Rounded |
|
399 ddadd415 add 10 77e-19 -> 10.00000000000000 Inexact Rounded |
|
400 ddadd416 add 10 77e-299 -> 10.00000000000000 Inexact Rounded |
|
401 |
|
402 ddadd420 add 77e-14 1 -> 1.00000000000077 |
|
403 ddadd421 add 77e-15 1 -> 1.000000000000077 |
|
404 ddadd422 add 77e-16 1 -> 1.000000000000008 Inexact Rounded |
|
405 ddadd423 add 77e-17 1 -> 1.000000000000001 Inexact Rounded |
|
406 ddadd424 add 77e-18 1 -> 1.000000000000000 Inexact Rounded |
|
407 ddadd425 add 77e-19 1 -> 1.000000000000000 Inexact Rounded |
|
408 ddadd426 add 77e-299 1 -> 1.000000000000000 Inexact Rounded |
|
409 |
|
410 ddadd430 add 77e-14 10 -> 10.00000000000077 |
|
411 ddadd431 add 77e-15 10 -> 10.00000000000008 Inexact Rounded |
|
412 ddadd432 add 77e-16 10 -> 10.00000000000001 Inexact Rounded |
|
413 ddadd433 add 77e-17 10 -> 10.00000000000000 Inexact Rounded |
|
414 ddadd434 add 77e-18 10 -> 10.00000000000000 Inexact Rounded |
|
415 ddadd435 add 77e-19 10 -> 10.00000000000000 Inexact Rounded |
|
416 ddadd436 add 77e-299 10 -> 10.00000000000000 Inexact Rounded |
|
417 |
|
418 -- negative ulps |
|
419 ddadd6440 add 1 -77e-14 -> 0.99999999999923 |
|
420 ddadd6441 add 1 -77e-15 -> 0.999999999999923 |
|
421 ddadd6442 add 1 -77e-16 -> 0.9999999999999923 |
|
422 ddadd6443 add 1 -77e-17 -> 0.9999999999999992 Inexact Rounded |
|
423 ddadd6444 add 1 -77e-18 -> 0.9999999999999999 Inexact Rounded |
|
424 ddadd6445 add 1 -77e-19 -> 1.000000000000000 Inexact Rounded |
|
425 ddadd6446 add 1 -77e-99 -> 1.000000000000000 Inexact Rounded |
|
426 |
|
427 ddadd6450 add 10 -77e-14 -> 9.99999999999923 |
|
428 ddadd6451 add 10 -77e-15 -> 9.999999999999923 |
|
429 ddadd6452 add 10 -77e-16 -> 9.999999999999992 Inexact Rounded |
|
430 ddadd6453 add 10 -77e-17 -> 9.999999999999999 Inexact Rounded |
|
431 ddadd6454 add 10 -77e-18 -> 10.00000000000000 Inexact Rounded |
|
432 ddadd6455 add 10 -77e-19 -> 10.00000000000000 Inexact Rounded |
|
433 ddadd6456 add 10 -77e-99 -> 10.00000000000000 Inexact Rounded |
|
434 |
|
435 ddadd6460 add -77e-14 1 -> 0.99999999999923 |
|
436 ddadd6461 add -77e-15 1 -> 0.999999999999923 |
|
437 ddadd6462 add -77e-16 1 -> 0.9999999999999923 |
|
438 ddadd6463 add -77e-17 1 -> 0.9999999999999992 Inexact Rounded |
|
439 ddadd6464 add -77e-18 1 -> 0.9999999999999999 Inexact Rounded |
|
440 ddadd6465 add -77e-19 1 -> 1.000000000000000 Inexact Rounded |
|
441 ddadd6466 add -77e-99 1 -> 1.000000000000000 Inexact Rounded |
|
442 |
|
443 ddadd6470 add -77e-14 10 -> 9.99999999999923 |
|
444 ddadd6471 add -77e-15 10 -> 9.999999999999923 |
|
445 ddadd6472 add -77e-16 10 -> 9.999999999999992 Inexact Rounded |
|
446 ddadd6473 add -77e-17 10 -> 9.999999999999999 Inexact Rounded |
|
447 ddadd6474 add -77e-18 10 -> 10.00000000000000 Inexact Rounded |
|
448 ddadd6475 add -77e-19 10 -> 10.00000000000000 Inexact Rounded |
|
449 ddadd6476 add -77e-99 10 -> 10.00000000000000 Inexact Rounded |
|
450 |
|
451 -- negative ulps |
|
452 ddadd6480 add -1 77e-14 -> -0.99999999999923 |
|
453 ddadd6481 add -1 77e-15 -> -0.999999999999923 |
|
454 ddadd6482 add -1 77e-16 -> -0.9999999999999923 |
|
455 ddadd6483 add -1 77e-17 -> -0.9999999999999992 Inexact Rounded |
|
456 ddadd6484 add -1 77e-18 -> -0.9999999999999999 Inexact Rounded |
|
457 ddadd6485 add -1 77e-19 -> -1.000000000000000 Inexact Rounded |
|
458 ddadd6486 add -1 77e-99 -> -1.000000000000000 Inexact Rounded |
|
459 |
|
460 ddadd6490 add -10 77e-14 -> -9.99999999999923 |
|
461 ddadd6491 add -10 77e-15 -> -9.999999999999923 |
|
462 ddadd6492 add -10 77e-16 -> -9.999999999999992 Inexact Rounded |
|
463 ddadd6493 add -10 77e-17 -> -9.999999999999999 Inexact Rounded |
|
464 ddadd6494 add -10 77e-18 -> -10.00000000000000 Inexact Rounded |
|
465 ddadd6495 add -10 77e-19 -> -10.00000000000000 Inexact Rounded |
|
466 ddadd6496 add -10 77e-99 -> -10.00000000000000 Inexact Rounded |
|
467 |
|
468 ddadd6500 add 77e-14 -1 -> -0.99999999999923 |
|
469 ddadd6501 add 77e-15 -1 -> -0.999999999999923 |
|
470 ddadd6502 add 77e-16 -1 -> -0.9999999999999923 |
|
471 ddadd6503 add 77e-17 -1 -> -0.9999999999999992 Inexact Rounded |
|
472 ddadd6504 add 77e-18 -1 -> -0.9999999999999999 Inexact Rounded |
|
473 ddadd6505 add 77e-19 -1 -> -1.000000000000000 Inexact Rounded |
|
474 ddadd6506 add 77e-99 -1 -> -1.000000000000000 Inexact Rounded |
|
475 |
|
476 ddadd6510 add 77e-14 -10 -> -9.99999999999923 |
|
477 ddadd6511 add 77e-15 -10 -> -9.999999999999923 |
|
478 ddadd6512 add 77e-16 -10 -> -9.999999999999992 Inexact Rounded |
|
479 ddadd6513 add 77e-17 -10 -> -9.999999999999999 Inexact Rounded |
|
480 ddadd6514 add 77e-18 -10 -> -10.00000000000000 Inexact Rounded |
|
481 ddadd6515 add 77e-19 -10 -> -10.00000000000000 Inexact Rounded |
|
482 ddadd6516 add 77e-99 -10 -> -10.00000000000000 Inexact Rounded |
|
483 |
|
484 -- and some more residue effects and different roundings |
|
485 rounding: half_up |
|
486 ddadd6540 add '6543210123456789' 0 -> '6543210123456789' |
|
487 ddadd6541 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded |
|
488 ddadd6542 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded |
|
489 ddadd6543 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded |
|
490 ddadd6544 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded |
|
491 ddadd6545 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded |
|
492 ddadd6546 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded |
|
493 ddadd6547 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded |
|
494 ddadd6548 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded |
|
495 ddadd6549 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded |
|
496 ddadd6550 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded |
|
497 ddadd6551 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded |
|
498 ddadd6552 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded |
|
499 ddadd6553 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded |
|
500 ddadd6554 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded |
|
501 ddadd6555 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded |
|
502 ddadd6556 add '6543210123456789' 1 -> '6543210123456790' |
|
503 ddadd6557 add '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded |
|
504 ddadd6558 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded |
|
505 ddadd6559 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded |
|
506 |
|
507 rounding: half_even |
|
508 ddadd6560 add '6543210123456789' 0 -> '6543210123456789' |
|
509 ddadd6561 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded |
|
510 ddadd6562 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded |
|
511 ddadd6563 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded |
|
512 ddadd6564 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded |
|
513 ddadd6565 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded |
|
514 ddadd6566 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded |
|
515 ddadd6567 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded |
|
516 ddadd6568 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded |
|
517 ddadd6569 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded |
|
518 ddadd6570 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded |
|
519 ddadd6571 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded |
|
520 ddadd6572 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded |
|
521 ddadd6573 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded |
|
522 ddadd6574 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded |
|
523 ddadd6575 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded |
|
524 ddadd6576 add '6543210123456789' 1 -> '6543210123456790' |
|
525 ddadd6577 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded |
|
526 ddadd6578 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded |
|
527 ddadd6579 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded |
|
528 |
|
529 -- critical few with even bottom digit... |
|
530 ddadd7540 add '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded |
|
531 ddadd7541 add '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded |
|
532 ddadd7542 add '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded |
|
533 |
|
534 rounding: down |
|
535 ddadd7550 add '6543210123456789' 0 -> '6543210123456789' |
|
536 ddadd7551 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded |
|
537 ddadd7552 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded |
|
538 ddadd7553 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded |
|
539 ddadd7554 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded |
|
540 ddadd7555 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded |
|
541 ddadd7556 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded |
|
542 ddadd7557 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded |
|
543 ddadd7558 add '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded |
|
544 ddadd7559 add '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded |
|
545 ddadd7560 add '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded |
|
546 ddadd7561 add '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded |
|
547 ddadd7562 add '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded |
|
548 ddadd7563 add '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded |
|
549 ddadd7564 add '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded |
|
550 ddadd7565 add '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded |
|
551 ddadd7566 add '6543210123456789' 1 -> '6543210123456790' |
|
552 ddadd7567 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded |
|
553 ddadd7568 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded |
|
554 ddadd7569 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded |
|
555 |
|
556 -- verify a query |
|
557 rounding: down |
|
558 ddadd7661 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded |
|
559 ddadd7662 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded |
|
560 ddadd7663 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded |
|
561 ddadd7664 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded |
|
562 |
|
563 -- more zeros, etc. |
|
564 rounding: half_even |
|
565 |
|
566 ddadd7701 add 5.00 1.00E-3 -> 5.00100 |
|
567 ddadd7702 add 00.00 0.000 -> 0.000 |
|
568 ddadd7703 add 00.00 0E-3 -> 0.000 |
|
569 ddadd7704 add 0E-3 00.00 -> 0.000 |
|
570 |
|
571 ddadd7710 add 0E+3 00.00 -> 0.00 |
|
572 ddadd7711 add 0E+3 00.0 -> 0.0 |
|
573 ddadd7712 add 0E+3 00. -> 0 |
|
574 ddadd7713 add 0E+3 00.E+1 -> 0E+1 |
|
575 ddadd7714 add 0E+3 00.E+2 -> 0E+2 |
|
576 ddadd7715 add 0E+3 00.E+3 -> 0E+3 |
|
577 ddadd7716 add 0E+3 00.E+4 -> 0E+3 |
|
578 ddadd7717 add 0E+3 00.E+5 -> 0E+3 |
|
579 ddadd7718 add 0E+3 -00.0 -> 0.0 |
|
580 ddadd7719 add 0E+3 -00. -> 0 |
|
581 ddadd7731 add 0E+3 -00.E+1 -> 0E+1 |
|
582 |
|
583 ddadd7720 add 00.00 0E+3 -> 0.00 |
|
584 ddadd7721 add 00.0 0E+3 -> 0.0 |
|
585 ddadd7722 add 00. 0E+3 -> 0 |
|
586 ddadd7723 add 00.E+1 0E+3 -> 0E+1 |
|
587 ddadd7724 add 00.E+2 0E+3 -> 0E+2 |
|
588 ddadd7725 add 00.E+3 0E+3 -> 0E+3 |
|
589 ddadd7726 add 00.E+4 0E+3 -> 0E+3 |
|
590 ddadd7727 add 00.E+5 0E+3 -> 0E+3 |
|
591 ddadd7728 add -00.00 0E+3 -> 0.00 |
|
592 ddadd7729 add -00.0 0E+3 -> 0.0 |
|
593 ddadd7730 add -00. 0E+3 -> 0 |
|
594 |
|
595 ddadd7732 add 0 0 -> 0 |
|
596 ddadd7733 add 0 -0 -> 0 |
|
597 ddadd7734 add -0 0 -> 0 |
|
598 ddadd7735 add -0 -0 -> -0 -- IEEE 854 special case |
|
599 |
|
600 ddadd7736 add 1 -1 -> 0 |
|
601 ddadd7737 add -1 -1 -> -2 |
|
602 ddadd7738 add 1 1 -> 2 |
|
603 ddadd7739 add -1 1 -> 0 |
|
604 |
|
605 ddadd7741 add 0 -1 -> -1 |
|
606 ddadd7742 add -0 -1 -> -1 |
|
607 ddadd7743 add 0 1 -> 1 |
|
608 ddadd7744 add -0 1 -> 1 |
|
609 ddadd7745 add -1 0 -> -1 |
|
610 ddadd7746 add -1 -0 -> -1 |
|
611 ddadd7747 add 1 0 -> 1 |
|
612 ddadd7748 add 1 -0 -> 1 |
|
613 |
|
614 ddadd7751 add 0.0 -1 -> -1.0 |
|
615 ddadd7752 add -0.0 -1 -> -1.0 |
|
616 ddadd7753 add 0.0 1 -> 1.0 |
|
617 ddadd7754 add -0.0 1 -> 1.0 |
|
618 ddadd7755 add -1.0 0 -> -1.0 |
|
619 ddadd7756 add -1.0 -0 -> -1.0 |
|
620 ddadd7757 add 1.0 0 -> 1.0 |
|
621 ddadd7758 add 1.0 -0 -> 1.0 |
|
622 |
|
623 ddadd7761 add 0 -1.0 -> -1.0 |
|
624 ddadd7762 add -0 -1.0 -> -1.0 |
|
625 ddadd7763 add 0 1.0 -> 1.0 |
|
626 ddadd7764 add -0 1.0 -> 1.0 |
|
627 ddadd7765 add -1 0.0 -> -1.0 |
|
628 ddadd7766 add -1 -0.0 -> -1.0 |
|
629 ddadd7767 add 1 0.0 -> 1.0 |
|
630 ddadd7768 add 1 -0.0 -> 1.0 |
|
631 |
|
632 ddadd7771 add 0.0 -1.0 -> -1.0 |
|
633 ddadd7772 add -0.0 -1.0 -> -1.0 |
|
634 ddadd7773 add 0.0 1.0 -> 1.0 |
|
635 ddadd7774 add -0.0 1.0 -> 1.0 |
|
636 ddadd7775 add -1.0 0.0 -> -1.0 |
|
637 ddadd7776 add -1.0 -0.0 -> -1.0 |
|
638 ddadd7777 add 1.0 0.0 -> 1.0 |
|
639 ddadd7778 add 1.0 -0.0 -> 1.0 |
|
640 |
|
641 -- Specials |
|
642 ddadd7780 add -Inf -Inf -> -Infinity |
|
643 ddadd7781 add -Inf -1000 -> -Infinity |
|
644 ddadd7782 add -Inf -1 -> -Infinity |
|
645 ddadd7783 add -Inf -0 -> -Infinity |
|
646 ddadd7784 add -Inf 0 -> -Infinity |
|
647 ddadd7785 add -Inf 1 -> -Infinity |
|
648 ddadd7786 add -Inf 1000 -> -Infinity |
|
649 ddadd7787 add -1000 -Inf -> -Infinity |
|
650 ddadd7788 add -Inf -Inf -> -Infinity |
|
651 ddadd7789 add -1 -Inf -> -Infinity |
|
652 ddadd7790 add -0 -Inf -> -Infinity |
|
653 ddadd7791 add 0 -Inf -> -Infinity |
|
654 ddadd7792 add 1 -Inf -> -Infinity |
|
655 ddadd7793 add 1000 -Inf -> -Infinity |
|
656 ddadd7794 add Inf -Inf -> NaN Invalid_operation |
|
657 |
|
658 ddadd7800 add Inf -Inf -> NaN Invalid_operation |
|
659 ddadd7801 add Inf -1000 -> Infinity |
|
660 ddadd7802 add Inf -1 -> Infinity |
|
661 ddadd7803 add Inf -0 -> Infinity |
|
662 ddadd7804 add Inf 0 -> Infinity |
|
663 ddadd7805 add Inf 1 -> Infinity |
|
664 ddadd7806 add Inf 1000 -> Infinity |
|
665 ddadd7807 add Inf Inf -> Infinity |
|
666 ddadd7808 add -1000 Inf -> Infinity |
|
667 ddadd7809 add -Inf Inf -> NaN Invalid_operation |
|
668 ddadd7810 add -1 Inf -> Infinity |
|
669 ddadd7811 add -0 Inf -> Infinity |
|
670 ddadd7812 add 0 Inf -> Infinity |
|
671 ddadd7813 add 1 Inf -> Infinity |
|
672 ddadd7814 add 1000 Inf -> Infinity |
|
673 ddadd7815 add Inf Inf -> Infinity |
|
674 |
|
675 ddadd7821 add NaN -Inf -> NaN |
|
676 ddadd7822 add NaN -1000 -> NaN |
|
677 ddadd7823 add NaN -1 -> NaN |
|
678 ddadd7824 add NaN -0 -> NaN |
|
679 ddadd7825 add NaN 0 -> NaN |
|
680 ddadd7826 add NaN 1 -> NaN |
|
681 ddadd7827 add NaN 1000 -> NaN |
|
682 ddadd7828 add NaN Inf -> NaN |
|
683 ddadd7829 add NaN NaN -> NaN |
|
684 ddadd7830 add -Inf NaN -> NaN |
|
685 ddadd7831 add -1000 NaN -> NaN |
|
686 ddadd7832 add -1 NaN -> NaN |
|
687 ddadd7833 add -0 NaN -> NaN |
|
688 ddadd7834 add 0 NaN -> NaN |
|
689 ddadd7835 add 1 NaN -> NaN |
|
690 ddadd7836 add 1000 NaN -> NaN |
|
691 ddadd7837 add Inf NaN -> NaN |
|
692 |
|
693 ddadd7841 add sNaN -Inf -> NaN Invalid_operation |
|
694 ddadd7842 add sNaN -1000 -> NaN Invalid_operation |
|
695 ddadd7843 add sNaN -1 -> NaN Invalid_operation |
|
696 ddadd7844 add sNaN -0 -> NaN Invalid_operation |
|
697 ddadd7845 add sNaN 0 -> NaN Invalid_operation |
|
698 ddadd7846 add sNaN 1 -> NaN Invalid_operation |
|
699 ddadd7847 add sNaN 1000 -> NaN Invalid_operation |
|
700 ddadd7848 add sNaN NaN -> NaN Invalid_operation |
|
701 ddadd7849 add sNaN sNaN -> NaN Invalid_operation |
|
702 ddadd7850 add NaN sNaN -> NaN Invalid_operation |
|
703 ddadd7851 add -Inf sNaN -> NaN Invalid_operation |
|
704 ddadd7852 add -1000 sNaN -> NaN Invalid_operation |
|
705 ddadd7853 add -1 sNaN -> NaN Invalid_operation |
|
706 ddadd7854 add -0 sNaN -> NaN Invalid_operation |
|
707 ddadd7855 add 0 sNaN -> NaN Invalid_operation |
|
708 ddadd7856 add 1 sNaN -> NaN Invalid_operation |
|
709 ddadd7857 add 1000 sNaN -> NaN Invalid_operation |
|
710 ddadd7858 add Inf sNaN -> NaN Invalid_operation |
|
711 ddadd7859 add NaN sNaN -> NaN Invalid_operation |
|
712 |
|
713 -- propagating NaNs |
|
714 ddadd7861 add NaN1 -Inf -> NaN1 |
|
715 ddadd7862 add +NaN2 -1000 -> NaN2 |
|
716 ddadd7863 add NaN3 1000 -> NaN3 |
|
717 ddadd7864 add NaN4 Inf -> NaN4 |
|
718 ddadd7865 add NaN5 +NaN6 -> NaN5 |
|
719 ddadd7866 add -Inf NaN7 -> NaN7 |
|
720 ddadd7867 add -1000 NaN8 -> NaN8 |
|
721 ddadd7868 add 1000 NaN9 -> NaN9 |
|
722 ddadd7869 add Inf +NaN10 -> NaN10 |
|
723 ddadd7871 add sNaN11 -Inf -> NaN11 Invalid_operation |
|
724 ddadd7872 add sNaN12 -1000 -> NaN12 Invalid_operation |
|
725 ddadd7873 add sNaN13 1000 -> NaN13 Invalid_operation |
|
726 ddadd7874 add sNaN14 NaN17 -> NaN14 Invalid_operation |
|
727 ddadd7875 add sNaN15 sNaN18 -> NaN15 Invalid_operation |
|
728 ddadd7876 add NaN16 sNaN19 -> NaN19 Invalid_operation |
|
729 ddadd7877 add -Inf +sNaN20 -> NaN20 Invalid_operation |
|
730 ddadd7878 add -1000 sNaN21 -> NaN21 Invalid_operation |
|
731 ddadd7879 add 1000 sNaN22 -> NaN22 Invalid_operation |
|
732 ddadd7880 add Inf sNaN23 -> NaN23 Invalid_operation |
|
733 ddadd7881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation |
|
734 ddadd7882 add -NaN26 NaN28 -> -NaN26 |
|
735 ddadd7883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation |
|
736 ddadd7884 add 1000 -NaN30 -> -NaN30 |
|
737 ddadd7885 add 1000 -sNaN31 -> -NaN31 Invalid_operation |
|
738 |
|
739 -- Here we explore near the boundary of rounding a subnormal to Nmin |
|
740 ddadd7575 add 1E-383 -1E-398 -> 9.99999999999999E-384 Subnormal |
|
741 ddadd7576 add -1E-383 +1E-398 -> -9.99999999999999E-384 Subnormal |
|
742 |
|
743 -- check overflow edge case |
|
744 -- 1234567890123456 |
|
745 ddadd7972 apply 9.999999999999999E+384 -> 9.999999999999999E+384 |
|
746 ddadd7973 add 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded |
|
747 ddadd7974 add 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded |
|
748 ddadd7975 add 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded |
|
749 ddadd7976 add 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded |
|
750 ddadd7977 add 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded |
|
751 ddadd7978 add 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded |
|
752 ddadd7979 add 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded |
|
753 ddadd7980 add 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded |
|
754 ddadd7981 add 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded |
|
755 ddadd7982 add 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded |
|
756 ddadd7983 add 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded |
|
757 ddadd7984 add 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded |
|
758 |
|
759 ddadd7985 apply -9.999999999999999E+384 -> -9.999999999999999E+384 |
|
760 ddadd7986 add -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded |
|
761 ddadd7987 add -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded |
|
762 ddadd7988 add -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded |
|
763 ddadd7989 add -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded |
|
764 ddadd7990 add -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded |
|
765 ddadd7991 add -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded |
|
766 ddadd7992 add -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded |
|
767 ddadd7993 add -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded |
|
768 ddadd7994 add -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded |
|
769 ddadd7995 add -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded |
|
770 ddadd7996 add -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded |
|
771 ddadd7997 add -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded |
|
772 |
|
773 -- And for round down full and subnormal results |
|
774 rounding: down |
|
775 ddadd71100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact |
|
776 ddadd71101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact |
|
777 ddadd71103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact |
|
778 ddadd71104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact |
|
779 ddadd71105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact |
|
780 ddadd71106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact |
|
781 ddadd71107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact |
|
782 ddadd71108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact |
|
783 ddadd71109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact |
|
784 |
|
785 rounding: ceiling |
|
786 ddadd71110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact |
|
787 ddadd71111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact |
|
788 ddadd71113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact |
|
789 ddadd71114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact |
|
790 ddadd71115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact |
|
791 ddadd71116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact |
|
792 ddadd71117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact |
|
793 ddadd71118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact |
|
794 ddadd71119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact |
|
795 |
|
796 -- tests based on Gunnar Degnbol's edge case |
|
797 rounding: half_even |
|
798 |
|
799 ddadd71300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded |
|
800 ddadd71310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded |
|
801 ddadd71311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded |
|
802 ddadd71312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded |
|
803 ddadd71313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded |
|
804 ddadd71314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded |
|
805 ddadd71315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded |
|
806 ddadd71316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded |
|
807 ddadd71317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded |
|
808 ddadd71318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded |
|
809 ddadd71319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded |
|
810 ddadd71320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded |
|
811 ddadd71321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded |
|
812 ddadd71322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded |
|
813 ddadd71323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded |
|
814 ddadd71324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded |
|
815 ddadd71325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
816 ddadd71326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
817 ddadd71327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
818 ddadd71328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
819 ddadd71329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
820 ddadd71330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
821 ddadd71331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
822 ddadd71332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded |
|
823 ddadd71333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded |
|
824 ddadd71334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded |
|
825 ddadd71335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded |
|
826 ddadd71336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded |
|
827 ddadd71337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded |
|
828 ddadd71338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded |
|
829 ddadd71339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded |
|
830 |
|
831 ddadd71340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded |
|
832 ddadd71341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded |
|
833 |
|
834 ddadd71349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded |
|
835 ddadd71350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded |
|
836 ddadd71351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded |
|
837 ddadd71352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded |
|
838 ddadd71353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded |
|
839 ddadd71354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded |
|
840 ddadd71355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded |
|
841 ddadd71356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded |
|
842 ddadd71357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded |
|
843 ddadd71358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded |
|
844 ddadd71359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded |
|
845 ddadd71360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded |
|
846 ddadd71361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded |
|
847 ddadd71362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded |
|
848 ddadd71363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded |
|
849 ddadd71364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded |
|
850 ddadd71365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
851 ddadd71367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
852 ddadd71368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
853 ddadd71369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
854 ddadd71370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
855 ddadd71371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
856 ddadd71372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded |
|
857 ddadd71373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded |
|
858 ddadd71374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded |
|
859 ddadd71375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded |
|
860 ddadd71376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded |
|
861 ddadd71377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded |
|
862 ddadd71378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded |
|
863 ddadd71379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded |
|
864 ddadd71380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded |
|
865 ddadd71381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded |
|
866 ddadd71382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded |
|
867 ddadd71383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded |
|
868 ddadd71384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded |
|
869 ddadd71385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded |
|
870 ddadd71386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded |
|
871 ddadd71387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded |
|
872 ddadd71388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded |
|
873 ddadd71389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded |
|
874 ddadd71390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded |
|
875 ddadd71391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded |
|
876 ddadd71392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded |
|
877 ddadd71393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded |
|
878 ddadd71394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded |
|
879 ddadd71395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded |
|
880 ddadd71396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded |
|
881 |
|
882 -- More GD edge cases, where difference between the unadjusted |
|
883 -- exponents is larger than the maximum precision and one side is 0 |
|
884 ddadd71420 add 0 1.123456789012345 -> 1.123456789012345 |
|
885 ddadd71421 add 0 1.123456789012345E-1 -> 0.1123456789012345 |
|
886 ddadd71422 add 0 1.123456789012345E-2 -> 0.01123456789012345 |
|
887 ddadd71423 add 0 1.123456789012345E-3 -> 0.001123456789012345 |
|
888 ddadd71424 add 0 1.123456789012345E-4 -> 0.0001123456789012345 |
|
889 ddadd71425 add 0 1.123456789012345E-5 -> 0.00001123456789012345 |
|
890 ddadd71426 add 0 1.123456789012345E-6 -> 0.000001123456789012345 |
|
891 ddadd71427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7 |
|
892 ddadd71428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8 |
|
893 ddadd71429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9 |
|
894 ddadd71430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10 |
|
895 ddadd71431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11 |
|
896 ddadd71432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12 |
|
897 ddadd71433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13 |
|
898 ddadd71434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14 |
|
899 ddadd71435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15 |
|
900 ddadd71436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16 |
|
901 ddadd71437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17 |
|
902 ddadd71438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18 |
|
903 ddadd71439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19 |
|
904 |
|
905 -- same, reversed 0 |
|
906 ddadd71440 add 1.123456789012345 0 -> 1.123456789012345 |
|
907 ddadd71441 add 1.123456789012345E-1 0 -> 0.1123456789012345 |
|
908 ddadd71442 add 1.123456789012345E-2 0 -> 0.01123456789012345 |
|
909 ddadd71443 add 1.123456789012345E-3 0 -> 0.001123456789012345 |
|
910 ddadd71444 add 1.123456789012345E-4 0 -> 0.0001123456789012345 |
|
911 ddadd71445 add 1.123456789012345E-5 0 -> 0.00001123456789012345 |
|
912 ddadd71446 add 1.123456789012345E-6 0 -> 0.000001123456789012345 |
|
913 ddadd71447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7 |
|
914 ddadd71448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8 |
|
915 ddadd71449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9 |
|
916 ddadd71450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10 |
|
917 ddadd71451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11 |
|
918 ddadd71452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12 |
|
919 ddadd71453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13 |
|
920 ddadd71454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14 |
|
921 ddadd71455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15 |
|
922 ddadd71456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16 |
|
923 ddadd71457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17 |
|
924 ddadd71458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18 |
|
925 ddadd71459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19 |
|
926 |
|
927 -- same, Es on the 0 |
|
928 ddadd71460 add 1.123456789012345 0E-0 -> 1.123456789012345 |
|
929 ddadd71461 add 1.123456789012345 0E-1 -> 1.123456789012345 |
|
930 ddadd71462 add 1.123456789012345 0E-2 -> 1.123456789012345 |
|
931 ddadd71463 add 1.123456789012345 0E-3 -> 1.123456789012345 |
|
932 ddadd71464 add 1.123456789012345 0E-4 -> 1.123456789012345 |
|
933 ddadd71465 add 1.123456789012345 0E-5 -> 1.123456789012345 |
|
934 ddadd71466 add 1.123456789012345 0E-6 -> 1.123456789012345 |
|
935 ddadd71467 add 1.123456789012345 0E-7 -> 1.123456789012345 |
|
936 ddadd71468 add 1.123456789012345 0E-8 -> 1.123456789012345 |
|
937 ddadd71469 add 1.123456789012345 0E-9 -> 1.123456789012345 |
|
938 ddadd71470 add 1.123456789012345 0E-10 -> 1.123456789012345 |
|
939 ddadd71471 add 1.123456789012345 0E-11 -> 1.123456789012345 |
|
940 ddadd71472 add 1.123456789012345 0E-12 -> 1.123456789012345 |
|
941 ddadd71473 add 1.123456789012345 0E-13 -> 1.123456789012345 |
|
942 ddadd71474 add 1.123456789012345 0E-14 -> 1.123456789012345 |
|
943 ddadd71475 add 1.123456789012345 0E-15 -> 1.123456789012345 |
|
944 -- next four flag Rounded because the 0 extends the result |
|
945 ddadd71476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded |
|
946 ddadd71477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded |
|
947 ddadd71478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded |
|
948 ddadd71479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded |
|
949 |
|
950 -- sum of two opposite-sign operands is exactly 0 and floor => -0 |
|
951 rounding: half_up |
|
952 -- exact zeros from zeros |
|
953 ddadd71500 add 0 0E-19 -> 0E-19 |
|
954 ddadd71501 add -0 0E-19 -> 0E-19 |
|
955 ddadd71502 add 0 -0E-19 -> 0E-19 |
|
956 ddadd71503 add -0 -0E-19 -> -0E-19 |
|
957 -- exact zeros from non-zeros |
|
958 ddadd71511 add -11 11 -> 0 |
|
959 ddadd71512 add 11 -11 -> 0 |
|
960 |
|
961 rounding: half_down |
|
962 -- exact zeros from zeros |
|
963 ddadd71520 add 0 0E-19 -> 0E-19 |
|
964 ddadd71521 add -0 0E-19 -> 0E-19 |
|
965 ddadd71522 add 0 -0E-19 -> 0E-19 |
|
966 ddadd71523 add -0 -0E-19 -> -0E-19 |
|
967 -- exact zeros from non-zeros |
|
968 ddadd71531 add -11 11 -> 0 |
|
969 ddadd71532 add 11 -11 -> 0 |
|
970 |
|
971 rounding: half_even |
|
972 -- exact zeros from zeros |
|
973 ddadd71540 add 0 0E-19 -> 0E-19 |
|
974 ddadd71541 add -0 0E-19 -> 0E-19 |
|
975 ddadd71542 add 0 -0E-19 -> 0E-19 |
|
976 ddadd71543 add -0 -0E-19 -> -0E-19 |
|
977 -- exact zeros from non-zeros |
|
978 ddadd71551 add -11 11 -> 0 |
|
979 ddadd71552 add 11 -11 -> 0 |
|
980 |
|
981 rounding: up |
|
982 -- exact zeros from zeros |
|
983 ddadd71560 add 0 0E-19 -> 0E-19 |
|
984 ddadd71561 add -0 0E-19 -> 0E-19 |
|
985 ddadd71562 add 0 -0E-19 -> 0E-19 |
|
986 ddadd71563 add -0 -0E-19 -> -0E-19 |
|
987 -- exact zeros from non-zeros |
|
988 ddadd71571 add -11 11 -> 0 |
|
989 ddadd71572 add 11 -11 -> 0 |
|
990 |
|
991 rounding: down |
|
992 -- exact zeros from zeros |
|
993 ddadd71580 add 0 0E-19 -> 0E-19 |
|
994 ddadd71581 add -0 0E-19 -> 0E-19 |
|
995 ddadd71582 add 0 -0E-19 -> 0E-19 |
|
996 ddadd71583 add -0 -0E-19 -> -0E-19 |
|
997 -- exact zeros from non-zeros |
|
998 ddadd71591 add -11 11 -> 0 |
|
999 ddadd71592 add 11 -11 -> 0 |
|
1000 |
|
1001 rounding: ceiling |
|
1002 -- exact zeros from zeros |
|
1003 ddadd71600 add 0 0E-19 -> 0E-19 |
|
1004 ddadd71601 add -0 0E-19 -> 0E-19 |
|
1005 ddadd71602 add 0 -0E-19 -> 0E-19 |
|
1006 ddadd71603 add -0 -0E-19 -> -0E-19 |
|
1007 -- exact zeros from non-zeros |
|
1008 ddadd71611 add -11 11 -> 0 |
|
1009 ddadd71612 add 11 -11 -> 0 |
|
1010 |
|
1011 -- and the extra-special ugly case; unusual minuses marked by -- * |
|
1012 rounding: floor |
|
1013 -- exact zeros from zeros |
|
1014 ddadd71620 add 0 0E-19 -> 0E-19 |
|
1015 ddadd71621 add -0 0E-19 -> -0E-19 -- * |
|
1016 ddadd71622 add 0 -0E-19 -> -0E-19 -- * |
|
1017 ddadd71623 add -0 -0E-19 -> -0E-19 |
|
1018 -- exact zeros from non-zeros |
|
1019 ddadd71631 add -11 11 -> -0 -- * |
|
1020 ddadd71632 add 11 -11 -> -0 -- * |
|
1021 |
|
1022 -- Examples from SQL proposal (Krishna Kulkarni) |
|
1023 ddadd71701 add 130E-2 120E-2 -> 2.50 |
|
1024 ddadd71702 add 130E-2 12E-1 -> 2.50 |
|
1025 ddadd71703 add 130E-2 1E0 -> 2.30 |
|
1026 ddadd71704 add 1E2 1E4 -> 1.01E+4 |
|
1027 ddadd71705 add 130E-2 -120E-2 -> 0.10 |
|
1028 ddadd71706 add 130E-2 -12E-1 -> 0.10 |
|
1029 ddadd71707 add 130E-2 -1E0 -> 0.30 |
|
1030 ddadd71708 add 1E2 -1E4 -> -9.9E+3 |
|
1031 |
|
1032 -- query from Vincent Kulandaisamy |
|
1033 rounding: ceiling |
|
1034 ddadd71801 add 7.8822773805862E+277 -5.1757503820663E-21 -> 7.882277380586200E+277 Inexact Rounded |
|
1035 ddadd71802 add 7.882277380586200E+277 12.341 -> 7.882277380586201E+277 Inexact Rounded |
|
1036 ddadd71803 add 7.882277380586201E+277 2.7270545046613E-31 -> 7.882277380586202E+277 Inexact Rounded |
|
1037 |
|
1038 ddadd71811 add 12.341 -5.1757503820663E-21 -> 12.34100000000000 Inexact Rounded |
|
1039 ddadd71812 add 12.34100000000000 2.7270545046613E-31 -> 12.34100000000001 Inexact Rounded |
|
1040 ddadd71813 add 12.34100000000001 7.8822773805862E+277 -> 7.882277380586201E+277 Inexact Rounded |
|
1041 |
|
1042 -- Gappy coefficients; check residue handling even with full coefficient gap |
|
1043 rounding: half_even |
|
1044 |
|
1045 ddadd75001 add 1234567890123456 1 -> 1234567890123457 |
|
1046 ddadd75002 add 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded |
|
1047 ddadd75003 add 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded |
|
1048 ddadd75004 add 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded |
|
1049 ddadd75005 add 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded |
|
1050 ddadd75006 add 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded |
|
1051 ddadd75007 add 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded |
|
1052 ddadd75008 add 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded |
|
1053 ddadd75009 add 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded |
|
1054 ddadd75010 add 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded |
|
1055 ddadd75011 add 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded |
|
1056 ddadd75012 add 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded |
|
1057 ddadd75013 add 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded |
|
1058 ddadd75014 add 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded |
|
1059 ddadd75015 add 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded |
|
1060 ddadd75016 add 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded |
|
1061 ddadd75017 add 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded |
|
1062 ddadd75018 add 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded |
|
1063 ddadd75019 add 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded |
|
1064 ddadd75020 add 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded |
|
1065 ddadd75021 add 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded |
|
1066 |
|
1067 -- widening second argument at gap |
|
1068 ddadd75030 add 12345678 1 -> 12345679 |
|
1069 ddadd75031 add 12345678 0.1 -> 12345678.1 |
|
1070 ddadd75032 add 12345678 0.12 -> 12345678.12 |
|
1071 ddadd75033 add 12345678 0.123 -> 12345678.123 |
|
1072 ddadd75034 add 12345678 0.1234 -> 12345678.1234 |
|
1073 ddadd75035 add 12345678 0.12345 -> 12345678.12345 |
|
1074 ddadd75036 add 12345678 0.123456 -> 12345678.123456 |
|
1075 ddadd75037 add 12345678 0.1234567 -> 12345678.1234567 |
|
1076 ddadd75038 add 12345678 0.12345678 -> 12345678.12345678 |
|
1077 ddadd75039 add 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded |
|
1078 ddadd75040 add 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded |
|
1079 ddadd75041 add 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded |
|
1080 ddadd75042 add 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded |
|
1081 ddadd75043 add 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded |
|
1082 ddadd75044 add 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded |
|
1083 ddadd75045 add 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded |
|
1084 ddadd75046 add 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded |
|
1085 ddadd75047 add 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded |
|
1086 ddadd75048 add 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded |
|
1087 ddadd75049 add 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded |
|
1088 -- 90123456 |
|
1089 rounding: half_even |
|
1090 ddadd75050 add 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded |
|
1091 ddadd75051 add 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded |
|
1092 ddadd75052 add 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded |
|
1093 ddadd75053 add 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded |
|
1094 ddadd75054 add 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded |
|
1095 ddadd75055 add 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded |
|
1096 ddadd75056 add 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded |
|
1097 ddadd75057 add 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded |
|
1098 ddadd75060 add 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded |
|
1099 ddadd75061 add 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded |
|
1100 ddadd75062 add 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded |
|
1101 ddadd75063 add 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded |
|
1102 ddadd75064 add 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded |
|
1103 ddadd75065 add 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded |
|
1104 ddadd75066 add 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded |
|
1105 ddadd75067 add 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded |
|
1106 -- far-out residues (full coefficient gap is 16+15 digits) |
|
1107 rounding: up |
|
1108 ddadd75070 add 12345678 1E-8 -> 12345678.00000001 |
|
1109 ddadd75071 add 12345678 1E-9 -> 12345678.00000001 Inexact Rounded |
|
1110 ddadd75072 add 12345678 1E-10 -> 12345678.00000001 Inexact Rounded |
|
1111 ddadd75073 add 12345678 1E-11 -> 12345678.00000001 Inexact Rounded |
|
1112 ddadd75074 add 12345678 1E-12 -> 12345678.00000001 Inexact Rounded |
|
1113 ddadd75075 add 12345678 1E-13 -> 12345678.00000001 Inexact Rounded |
|
1114 ddadd75076 add 12345678 1E-14 -> 12345678.00000001 Inexact Rounded |
|
1115 ddadd75077 add 12345678 1E-15 -> 12345678.00000001 Inexact Rounded |
|
1116 ddadd75078 add 12345678 1E-16 -> 12345678.00000001 Inexact Rounded |
|
1117 ddadd75079 add 12345678 1E-17 -> 12345678.00000001 Inexact Rounded |
|
1118 ddadd75080 add 12345678 1E-18 -> 12345678.00000001 Inexact Rounded |
|
1119 ddadd75081 add 12345678 1E-19 -> 12345678.00000001 Inexact Rounded |
|
1120 ddadd75082 add 12345678 1E-20 -> 12345678.00000001 Inexact Rounded |
|
1121 ddadd75083 add 12345678 1E-25 -> 12345678.00000001 Inexact Rounded |
|
1122 ddadd75084 add 12345678 1E-30 -> 12345678.00000001 Inexact Rounded |
|
1123 ddadd75085 add 12345678 1E-31 -> 12345678.00000001 Inexact Rounded |
|
1124 ddadd75086 add 12345678 1E-32 -> 12345678.00000001 Inexact Rounded |
|
1125 ddadd75087 add 12345678 1E-33 -> 12345678.00000001 Inexact Rounded |
|
1126 ddadd75088 add 12345678 1E-34 -> 12345678.00000001 Inexact Rounded |
|
1127 ddadd75089 add 12345678 1E-35 -> 12345678.00000001 Inexact Rounded |
|
1128 |
|
1129 -- Punit's |
|
1130 ddadd75100 add 1.000 -200.000 -> -199.000 |
|
1131 |
|
1132 -- Rounding swathe |
|
1133 rounding: half_even |
|
1134 ddadd81100 add .2300 12345678901234.00 -> 12345678901234.23 Rounded |
|
1135 ddadd81101 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1136 ddadd81102 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1137 ddadd81103 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1138 ddadd81104 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1139 ddadd81105 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1140 ddadd81106 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded |
|
1141 ddadd81107 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1142 ddadd81108 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1143 ddadd81109 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1144 ddadd81120 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded |
|
1145 ddadd81121 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded |
|
1146 |
|
1147 rounding: half_up |
|
1148 ddadd81200 add .2300 12345678901234.00 -> 12345678901234.23 Rounded |
|
1149 ddadd81201 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1150 ddadd81202 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1151 ddadd81203 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1152 ddadd81204 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1153 ddadd81205 add .2450 12345678901234.00 -> 12345678901234.25 Inexact Rounded |
|
1154 ddadd81206 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded |
|
1155 ddadd81207 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1156 ddadd81208 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1157 ddadd81209 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1158 ddadd81220 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded |
|
1159 ddadd81221 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded |
|
1160 |
|
1161 rounding: half_down |
|
1162 ddadd81300 add .2300 12345678901234.00 -> 12345678901234.23 Rounded |
|
1163 ddadd81301 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1164 ddadd81302 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1165 ddadd81303 add .2350 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1166 ddadd81304 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1167 ddadd81305 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1168 ddadd81306 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded |
|
1169 ddadd81307 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1170 ddadd81308 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1171 ddadd81309 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1172 ddadd81320 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded |
|
1173 ddadd81321 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded |
|
1174 |
|
1175 rounding: up |
|
1176 ddadd81400 add .2300 12345678901234.00 -> 12345678901234.23 Rounded |
|
1177 ddadd81401 add .2301 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1178 ddadd81402 add .2310 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1179 ddadd81403 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1180 ddadd81404 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1181 ddadd81405 add .2450 12345678901234.00 -> 12345678901234.25 Inexact Rounded |
|
1182 ddadd81406 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded |
|
1183 ddadd81407 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1184 ddadd81408 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1185 ddadd81409 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1186 ddadd81411 add -.2399 -12345678901234.00 -> -12345678901234.24 Inexact Rounded |
|
1187 ddadd81420 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded |
|
1188 ddadd81421 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded |
|
1189 |
|
1190 rounding: down |
|
1191 ddadd81500 add .2300 12345678901234.00 -> 12345678901234.23 Rounded |
|
1192 ddadd81501 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1193 ddadd81502 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1194 ddadd81503 add .2350 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1195 ddadd81504 add .2351 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1196 ddadd81505 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1197 ddadd81506 add .2451 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1198 ddadd81507 add .2360 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1199 ddadd81508 add .2370 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1200 ddadd81509 add .2399 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1201 ddadd81511 add -.2399 -12345678901234.00 -> -12345678901234.23 Inexact Rounded |
|
1202 ddadd81520 add 9999999999999999E+369 9E+369 -> 9.999999999999999E+384 Overflow Inexact Rounded |
|
1203 ddadd81521 add -9999999999999999E+369 -9E+369 -> -9.999999999999999E+384 Overflow Inexact Rounded |
|
1204 |
|
1205 rounding: ceiling |
|
1206 ddadd81600 add .2300 12345678901234.00 -> 12345678901234.23 Rounded |
|
1207 ddadd81601 add .2301 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1208 ddadd81602 add .2310 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1209 ddadd81603 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1210 ddadd81604 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1211 ddadd81605 add .2450 12345678901234.00 -> 12345678901234.25 Inexact Rounded |
|
1212 ddadd81606 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded |
|
1213 ddadd81607 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1214 ddadd81608 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1215 ddadd81609 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1216 ddadd81611 add -.2399 -12345678901234.00 -> -12345678901234.23 Inexact Rounded |
|
1217 ddadd81620 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded |
|
1218 ddadd81621 add -9999999999999999E+369 -9E+369 -> -9.999999999999999E+384 Overflow Inexact Rounded |
|
1219 |
|
1220 rounding: floor |
|
1221 ddadd81700 add .2300 12345678901234.00 -> 12345678901234.23 Rounded |
|
1222 ddadd81701 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1223 ddadd81702 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1224 ddadd81703 add .2350 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1225 ddadd81704 add .2351 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1226 ddadd81705 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1227 ddadd81706 add .2451 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1228 ddadd81707 add .2360 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1229 ddadd81708 add .2370 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1230 ddadd81709 add .2399 12345678901234.00 -> 12345678901234.23 Inexact Rounded |
|
1231 ddadd81711 add -.2399 -12345678901234.00 -> -12345678901234.24 Inexact Rounded |
|
1232 ddadd81720 add 9999999999999999E+369 9E+369 -> 9.999999999999999E+384 Overflow Inexact Rounded |
|
1233 ddadd81721 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded |
|
1234 |
|
1235 rounding: 05up |
|
1236 ddadd81800 add .2000 12345678901234.00 -> 12345678901234.20 Rounded |
|
1237 ddadd81801 add .2001 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1238 ddadd81802 add .2010 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1239 ddadd81803 add .2050 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1240 ddadd81804 add .2051 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1241 ddadd81807 add .2060 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1242 ddadd81808 add .2070 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1243 ddadd81809 add .2099 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1244 ddadd81811 add -.2099 -12345678901234.00 -> -12345678901234.21 Inexact Rounded |
|
1245 ddadd81820 add 9999999999999999E+369 9E+369 -> 9.999999999999999E+384 Overflow Inexact Rounded |
|
1246 ddadd81821 add -9999999999999999E+369 -9E+369 -> -9.999999999999999E+384 Overflow Inexact Rounded |
|
1247 |
|
1248 ddadd81900 add .2100 12345678901234.00 -> 12345678901234.21 Rounded |
|
1249 ddadd81901 add .2101 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1250 ddadd81902 add .2110 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1251 ddadd81903 add .2150 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1252 ddadd81904 add .2151 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1253 ddadd81907 add .2160 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1254 ddadd81908 add .2170 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1255 ddadd81909 add .2199 12345678901234.00 -> 12345678901234.21 Inexact Rounded |
|
1256 ddadd81911 add -.2199 -12345678901234.00 -> -12345678901234.21 Inexact Rounded |
|
1257 |
|
1258 ddadd82000 add .2400 12345678901234.00 -> 12345678901234.24 Rounded |
|
1259 ddadd82001 add .2401 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1260 ddadd82002 add .2410 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1261 ddadd82003 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1262 ddadd82004 add .2451 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1263 ddadd82007 add .2460 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1264 ddadd82008 add .2470 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1265 ddadd82009 add .2499 12345678901234.00 -> 12345678901234.24 Inexact Rounded |
|
1266 ddadd82011 add -.2499 -12345678901234.00 -> -12345678901234.24 Inexact Rounded |
|
1267 |
|
1268 ddadd82100 add .2500 12345678901234.00 -> 12345678901234.25 Rounded |
|
1269 ddadd82101 add .2501 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1270 ddadd82102 add .2510 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1271 ddadd82103 add .2550 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1272 ddadd82104 add .2551 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1273 ddadd82107 add .2560 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1274 ddadd82108 add .2570 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1275 ddadd82109 add .2599 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1276 ddadd82111 add -.2599 -12345678901234.00 -> -12345678901234.26 Inexact Rounded |
|
1277 |
|
1278 ddadd82200 add .2600 12345678901234.00 -> 12345678901234.26 Rounded |
|
1279 ddadd82201 add .2601 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1280 ddadd82202 add .2610 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1281 ddadd82203 add .2650 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1282 ddadd82204 add .2651 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1283 ddadd82207 add .2660 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1284 ddadd82208 add .2670 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1285 ddadd82209 add .2699 12345678901234.00 -> 12345678901234.26 Inexact Rounded |
|
1286 ddadd82211 add -.2699 -12345678901234.00 -> -12345678901234.26 Inexact Rounded |
|
1287 |
|
1288 ddadd82300 add .2900 12345678901234.00 -> 12345678901234.29 Rounded |
|
1289 ddadd82301 add .2901 12345678901234.00 -> 12345678901234.29 Inexact Rounded |
|
1290 ddadd82302 add .2910 12345678901234.00 -> 12345678901234.29 Inexact Rounded |
|
1291 ddadd82303 add .2950 12345678901234.00 -> 12345678901234.29 Inexact Rounded |
|
1292 ddadd82304 add .2951 12345678901234.00 -> 12345678901234.29 Inexact Rounded |
|
1293 ddadd82307 add .2960 12345678901234.00 -> 12345678901234.29 Inexact Rounded |
|
1294 ddadd82308 add .2970 12345678901234.00 -> 12345678901234.29 Inexact Rounded |
|
1295 ddadd82309 add .2999 12345678901234.00 -> 12345678901234.29 Inexact Rounded |
|
1296 ddadd82311 add -.2999 -12345678901234.00 -> -12345678901234.29 Inexact Rounded |
|
1297 |
|
1298 -- Null tests |
|
1299 ddadd9990 add 10 # -> NaN Invalid_operation |
|
1300 ddadd9991 add # 10 -> NaN Invalid_operation |