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1 ------------------------------------------------------------------------ |
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2 -- dqAdd.decTest -- decQuad addition -- |
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3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- |
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4 ------------------------------------------------------------------------ |
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5 -- Please see the document "General Decimal Arithmetic Testcases" -- |
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6 -- at http://www2.hursley.ibm.com/decimal for the description of -- |
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7 -- these testcases. -- |
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8 -- -- |
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9 -- These testcases are experimental ('beta' versions), and they -- |
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10 -- may contain errors. They are offered on an as-is basis. In -- |
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11 -- particular, achieving the same results as the tests here is not -- |
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12 -- a guarantee that an implementation complies with any Standard -- |
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13 -- or specification. The tests are not exhaustive. -- |
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14 -- -- |
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15 -- Please send comments, suggestions, and corrections to the author: -- |
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16 -- Mike Cowlishaw, IBM Fellow -- |
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17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- |
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18 -- mfc@uk.ibm.com -- |
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19 ------------------------------------------------------------------------ |
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20 version: 2.58 |
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21 |
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22 -- This set of tests are for decQuads only; all arguments are |
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23 -- representable in a decQuad |
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24 extended: 1 |
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25 clamp: 1 |
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26 precision: 34 |
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27 maxExponent: 6144 |
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28 minExponent: -6143 |
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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 dqadd001 add 1 1 -> 2 |
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33 dqadd002 add 2 3 -> 5 |
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34 dqadd003 add '5.75' '3.3' -> 9.05 |
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35 dqadd004 add '5' '-3' -> 2 |
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36 dqadd005 add '-5' '-3' -> -8 |
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37 dqadd006 add '-7' '2.5' -> -4.5 |
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38 dqadd007 add '0.7' '0.3' -> 1.0 |
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39 dqadd008 add '1.25' '1.25' -> 2.50 |
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40 dqadd009 add '1.23456789' '1.00000000' -> '2.23456789' |
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41 dqadd010 add '1.23456789' '1.00000011' -> '2.23456800' |
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42 |
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43 -- 1234567890123456 1234567890123456 |
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44 dqadd011 add '0.4444444444444444444444444444444446' '0.5555555555555555555555555555555555' -> '1.000000000000000000000000000000000' Inexact Rounded |
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45 dqadd012 add '0.4444444444444444444444444444444445' '0.5555555555555555555555555555555555' -> '1.000000000000000000000000000000000' Rounded |
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46 dqadd013 add '0.4444444444444444444444444444444444' '0.5555555555555555555555555555555555' -> '0.9999999999999999999999999999999999' |
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47 dqadd014 add '4444444444444444444444444444444444' '0.49' -> '4444444444444444444444444444444444' Inexact Rounded |
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48 dqadd015 add '4444444444444444444444444444444444' '0.499' -> '4444444444444444444444444444444444' Inexact Rounded |
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49 dqadd016 add '4444444444444444444444444444444444' '0.4999' -> '4444444444444444444444444444444444' Inexact Rounded |
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50 dqadd017 add '4444444444444444444444444444444444' '0.5000' -> '4444444444444444444444444444444444' Inexact Rounded |
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51 dqadd018 add '4444444444444444444444444444444444' '0.5001' -> '4444444444444444444444444444444445' Inexact Rounded |
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52 dqadd019 add '4444444444444444444444444444444444' '0.501' -> '4444444444444444444444444444444445' Inexact Rounded |
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53 dqadd020 add '4444444444444444444444444444444444' '0.51' -> '4444444444444444444444444444444445' Inexact Rounded |
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54 |
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55 dqadd021 add 0 1 -> 1 |
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56 dqadd022 add 1 1 -> 2 |
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57 dqadd023 add 2 1 -> 3 |
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58 dqadd024 add 3 1 -> 4 |
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59 dqadd025 add 4 1 -> 5 |
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60 dqadd026 add 5 1 -> 6 |
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61 dqadd027 add 6 1 -> 7 |
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62 dqadd028 add 7 1 -> 8 |
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63 dqadd029 add 8 1 -> 9 |
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64 dqadd030 add 9 1 -> 10 |
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65 |
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66 -- some carrying effects |
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67 dqadd031 add '0.9998' '0.0000' -> '0.9998' |
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68 dqadd032 add '0.9998' '0.0001' -> '0.9999' |
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69 dqadd033 add '0.9998' '0.0002' -> '1.0000' |
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70 dqadd034 add '0.9998' '0.0003' -> '1.0001' |
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71 |
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72 dqadd035 add '70' '10000e+34' -> '1.000000000000000000000000000000000E+38' Inexact Rounded |
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73 dqadd036 add '700' '10000e+34' -> '1.000000000000000000000000000000000E+38' Inexact Rounded |
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74 dqadd037 add '7000' '10000e+34' -> '1.000000000000000000000000000000000E+38' Inexact Rounded |
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75 dqadd038 add '70000' '10000e+34' -> '1.000000000000000000000000000000001E+38' Inexact Rounded |
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76 dqadd039 add '700000' '10000e+34' -> '1.000000000000000000000000000000007E+38' Rounded |
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77 |
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78 -- symmetry: |
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79 dqadd040 add '10000e+34' '70' -> '1.000000000000000000000000000000000E+38' Inexact Rounded |
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80 dqadd041 add '10000e+34' '700' -> '1.000000000000000000000000000000000E+38' Inexact Rounded |
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81 dqadd042 add '10000e+34' '7000' -> '1.000000000000000000000000000000000E+38' Inexact Rounded |
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82 dqadd044 add '10000e+34' '70000' -> '1.000000000000000000000000000000001E+38' Inexact Rounded |
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83 dqadd045 add '10000e+34' '700000' -> '1.000000000000000000000000000000007E+38' Rounded |
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84 |
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85 -- same, without rounding |
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86 dqadd046 add '10000e+9' '7' -> '10000000000007' |
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87 dqadd047 add '10000e+9' '70' -> '10000000000070' |
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88 dqadd048 add '10000e+9' '700' -> '10000000000700' |
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89 dqadd049 add '10000e+9' '7000' -> '10000000007000' |
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90 dqadd050 add '10000e+9' '70000' -> '10000000070000' |
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91 dqadd051 add '10000e+9' '700000' -> '10000000700000' |
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92 dqadd052 add '10000e+9' '7000000' -> '10000007000000' |
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93 |
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94 -- examples from decarith |
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95 dqadd053 add '12' '7.00' -> '19.00' |
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96 dqadd054 add '1.3' '-1.07' -> '0.23' |
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97 dqadd055 add '1.3' '-1.30' -> '0.00' |
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98 dqadd056 add '1.3' '-2.07' -> '-0.77' |
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99 dqadd057 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 dqadd061 add 1 '0.0001' -> '1.0001' |
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103 dqadd062 add 1 '0.00001' -> '1.00001' |
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104 dqadd063 add 1 '0.000001' -> '1.000001' |
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105 dqadd064 add 1 '0.0000001' -> '1.0000001' |
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106 dqadd065 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 dqadd070 add 1 0 -> 1 |
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110 dqadd071 add 1 0. -> 1 |
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111 dqadd072 add 1 .0 -> 1.0 |
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112 dqadd073 add 1 0.0 -> 1.0 |
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113 dqadd074 add 1 0.00 -> 1.00 |
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114 dqadd075 add 0 1 -> 1 |
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115 dqadd076 add 0. 1 -> 1 |
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116 dqadd077 add .0 1 -> 1.0 |
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117 dqadd078 add 0.0 1 -> 1.0 |
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118 dqadd079 add 0.00 1 -> 1.00 |
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119 |
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120 -- some carries |
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121 dqadd080 add 999999998 1 -> 999999999 |
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122 dqadd081 add 999999999 1 -> 1000000000 |
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123 dqadd082 add 99999999 1 -> 100000000 |
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124 dqadd083 add 9999999 1 -> 10000000 |
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125 dqadd084 add 999999 1 -> 1000000 |
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126 dqadd085 add 99999 1 -> 100000 |
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127 dqadd086 add 9999 1 -> 10000 |
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128 dqadd087 add 999 1 -> 1000 |
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129 dqadd088 add 99 1 -> 100 |
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130 dqadd089 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 dqadd090 add '-56267E-10' 0 -> '-0.0000056267' |
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135 dqadd091 add '-56267E-6' 0 -> '-0.056267' |
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136 dqadd092 add '-56267E-5' 0 -> '-0.56267' |
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137 dqadd093 add '-56267E-4' 0 -> '-5.6267' |
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138 dqadd094 add '-56267E-3' 0 -> '-56.267' |
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139 dqadd095 add '-56267E-2' 0 -> '-562.67' |
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140 dqadd096 add '-56267E-1' 0 -> '-5626.7' |
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141 dqadd097 add '-56267E-0' 0 -> '-56267' |
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142 dqadd098 add '-5E-10' 0 -> '-5E-10' |
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143 dqadd099 add '-5E-7' 0 -> '-5E-7' |
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144 dqadd100 add '-5E-6' 0 -> '-0.000005' |
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145 dqadd101 add '-5E-5' 0 -> '-0.00005' |
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146 dqadd102 add '-5E-4' 0 -> '-0.0005' |
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147 dqadd103 add '-5E-1' 0 -> '-0.5' |
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148 dqadd104 add '-5E0' 0 -> '-5' |
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149 dqadd105 add '-5E1' 0 -> '-50' |
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150 dqadd106 add '-5E5' 0 -> '-500000' |
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151 dqadd107 add '-5E33' 0 -> '-5000000000000000000000000000000000' |
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152 dqadd108 add '-5E34' 0 -> '-5.000000000000000000000000000000000E+34' Rounded |
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153 dqadd109 add '-5E35' 0 -> '-5.000000000000000000000000000000000E+35' Rounded |
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154 dqadd110 add '-5E36' 0 -> '-5.000000000000000000000000000000000E+36' Rounded |
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155 dqadd111 add '-5E100' 0 -> '-5.000000000000000000000000000000000E+100' Rounded |
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156 |
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157 -- more RHS swaps |
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158 dqadd113 add 0 '-56267E-10' -> '-0.0000056267' |
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159 dqadd114 add 0 '-56267E-6' -> '-0.056267' |
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160 dqadd116 add 0 '-56267E-5' -> '-0.56267' |
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161 dqadd117 add 0 '-56267E-4' -> '-5.6267' |
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162 dqadd119 add 0 '-56267E-3' -> '-56.267' |
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163 dqadd120 add 0 '-56267E-2' -> '-562.67' |
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164 dqadd121 add 0 '-56267E-1' -> '-5626.7' |
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165 dqadd122 add 0 '-56267E-0' -> '-56267' |
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166 dqadd123 add 0 '-5E-10' -> '-5E-10' |
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167 dqadd124 add 0 '-5E-7' -> '-5E-7' |
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168 dqadd125 add 0 '-5E-6' -> '-0.000005' |
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169 dqadd126 add 0 '-5E-5' -> '-0.00005' |
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170 dqadd127 add 0 '-5E-4' -> '-0.0005' |
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171 dqadd128 add 0 '-5E-1' -> '-0.5' |
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172 dqadd129 add 0 '-5E0' -> '-5' |
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173 dqadd130 add 0 '-5E1' -> '-50' |
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174 dqadd131 add 0 '-5E5' -> '-500000' |
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175 dqadd132 add 0 '-5E33' -> '-5000000000000000000000000000000000' |
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176 dqadd133 add 0 '-5E34' -> '-5.000000000000000000000000000000000E+34' Rounded |
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177 dqadd134 add 0 '-5E35' -> '-5.000000000000000000000000000000000E+35' Rounded |
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178 dqadd135 add 0 '-5E36' -> '-5.000000000000000000000000000000000E+36' Rounded |
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179 dqadd136 add 0 '-5E100' -> '-5.000000000000000000000000000000000E+100' Rounded |
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180 |
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181 -- related |
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182 dqadd137 add 1 '0E-39' -> '1.000000000000000000000000000000000' Rounded |
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183 dqadd138 add -1 '0E-39' -> '-1.000000000000000000000000000000000' Rounded |
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184 dqadd139 add '0E-39' 1 -> '1.000000000000000000000000000000000' Rounded |
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185 dqadd140 add '0E-39' -1 -> '-1.000000000000000000000000000000000' Rounded |
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186 dqadd141 add 1E+29 0.0000 -> '100000000000000000000000000000.0000' |
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187 dqadd142 add 1E+29 0.00000 -> '100000000000000000000000000000.0000' Rounded |
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188 dqadd143 add 0.000 1E+30 -> '1000000000000000000000000000000.000' |
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189 dqadd144 add 0.0000 1E+30 -> '1000000000000000000000000000000.000' 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 dqadd146 add '00.0' 0 -> '0.0' |
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193 dqadd147 add '0.00' 0 -> '0.00' |
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194 dqadd148 add 0 '0.00' -> '0.00' |
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195 dqadd149 add 0 '00.0' -> '0.0' |
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196 dqadd150 add '00.0' '0.00' -> '0.00' |
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197 dqadd151 add '0.00' '00.0' -> '0.00' |
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198 dqadd152 add '3' '.3' -> '3.3' |
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199 dqadd153 add '3.' '.3' -> '3.3' |
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200 dqadd154 add '3.0' '.3' -> '3.3' |
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201 dqadd155 add '3.00' '.3' -> '3.30' |
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202 dqadd156 add '3' '3' -> '6' |
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203 dqadd157 add '3' '+3' -> '6' |
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204 dqadd158 add '3' '-3' -> '0' |
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205 dqadd159 add '0.3' '-0.3' -> '0.0' |
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206 dqadd160 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 dqadd161 add '1E+12' '-1' -> '999999999999' |
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210 dqadd162 add '1E+12' '1.11' -> '1000000000001.11' |
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211 dqadd163 add '1.11' '1E+12' -> '1000000000001.11' |
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212 dqadd164 add '-1' '1E+12' -> '999999999999' |
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213 dqadd165 add '7E+12' '-1' -> '6999999999999' |
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214 dqadd166 add '7E+12' '1.11' -> '7000000000001.11' |
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215 dqadd167 add '1.11' '7E+12' -> '7000000000001.11' |
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216 dqadd168 add '-1' '7E+12' -> '6999999999999' |
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217 |
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218 rounding: half_up |
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219 dqadd170 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555567' -> '5.000000000000000000000000000000001' Inexact Rounded |
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220 dqadd171 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555566' -> '5.000000000000000000000000000000001' Inexact Rounded |
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221 dqadd172 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555565' -> '5.000000000000000000000000000000001' Inexact Rounded |
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222 dqadd173 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555564' -> '5.000000000000000000000000000000000' Inexact Rounded |
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223 dqadd174 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555553' -> '4.999999999999999999999999999999999' Inexact Rounded |
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224 dqadd175 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555552' -> '4.999999999999999999999999999999999' Inexact Rounded |
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225 dqadd176 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555551' -> '4.999999999999999999999999999999999' Inexact Rounded |
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226 dqadd177 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555550' -> '4.999999999999999999999999999999999' Rounded |
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227 dqadd178 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555545' -> '4.999999999999999999999999999999999' Inexact Rounded |
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228 dqadd179 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555544' -> '4.999999999999999999999999999999998' Inexact Rounded |
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229 dqadd180 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555543' -> '4.999999999999999999999999999999998' Inexact Rounded |
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230 dqadd181 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555542' -> '4.999999999999999999999999999999998' Inexact Rounded |
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231 dqadd182 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555541' -> '4.999999999999999999999999999999998' Inexact Rounded |
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232 dqadd183 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555540' -> '4.999999999999999999999999999999998' Rounded |
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233 |
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234 -- and some more, including residue effects and different roundings |
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235 rounding: half_up |
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236 dqadd200 add '1231234567890123456784560123456789' 0 -> '1231234567890123456784560123456789' |
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237 dqadd201 add '1231234567890123456784560123456789' 0.000000001 -> '1231234567890123456784560123456789' Inexact Rounded |
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238 dqadd202 add '1231234567890123456784560123456789' 0.000001 -> '1231234567890123456784560123456789' Inexact Rounded |
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239 dqadd203 add '1231234567890123456784560123456789' 0.1 -> '1231234567890123456784560123456789' Inexact Rounded |
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240 dqadd204 add '1231234567890123456784560123456789' 0.4 -> '1231234567890123456784560123456789' Inexact Rounded |
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241 dqadd205 add '1231234567890123456784560123456789' 0.49 -> '1231234567890123456784560123456789' Inexact Rounded |
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242 dqadd206 add '1231234567890123456784560123456789' 0.499999 -> '1231234567890123456784560123456789' Inexact Rounded |
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243 dqadd207 add '1231234567890123456784560123456789' 0.499999999 -> '1231234567890123456784560123456789' Inexact Rounded |
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244 dqadd208 add '1231234567890123456784560123456789' 0.5 -> '1231234567890123456784560123456790' Inexact Rounded |
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245 dqadd209 add '1231234567890123456784560123456789' 0.500000001 -> '1231234567890123456784560123456790' Inexact Rounded |
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246 dqadd210 add '1231234567890123456784560123456789' 0.500001 -> '1231234567890123456784560123456790' Inexact Rounded |
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247 dqadd211 add '1231234567890123456784560123456789' 0.51 -> '1231234567890123456784560123456790' Inexact Rounded |
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248 dqadd212 add '1231234567890123456784560123456789' 0.6 -> '1231234567890123456784560123456790' Inexact Rounded |
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249 dqadd213 add '1231234567890123456784560123456789' 0.9 -> '1231234567890123456784560123456790' Inexact Rounded |
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250 dqadd214 add '1231234567890123456784560123456789' 0.99999 -> '1231234567890123456784560123456790' Inexact Rounded |
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251 dqadd215 add '1231234567890123456784560123456789' 0.999999999 -> '1231234567890123456784560123456790' Inexact Rounded |
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252 dqadd216 add '1231234567890123456784560123456789' 1 -> '1231234567890123456784560123456790' |
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253 dqadd217 add '1231234567890123456784560123456789' 1.000000001 -> '1231234567890123456784560123456790' Inexact Rounded |
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254 dqadd218 add '1231234567890123456784560123456789' 1.00001 -> '1231234567890123456784560123456790' Inexact Rounded |
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255 dqadd219 add '1231234567890123456784560123456789' 1.1 -> '1231234567890123456784560123456790' Inexact Rounded |
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256 |
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257 rounding: half_even |
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258 dqadd220 add '1231234567890123456784560123456789' 0 -> '1231234567890123456784560123456789' |
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259 dqadd221 add '1231234567890123456784560123456789' 0.000000001 -> '1231234567890123456784560123456789' Inexact Rounded |
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260 dqadd222 add '1231234567890123456784560123456789' 0.000001 -> '1231234567890123456784560123456789' Inexact Rounded |
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261 dqadd223 add '1231234567890123456784560123456789' 0.1 -> '1231234567890123456784560123456789' Inexact Rounded |
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262 dqadd224 add '1231234567890123456784560123456789' 0.4 -> '1231234567890123456784560123456789' Inexact Rounded |
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263 dqadd225 add '1231234567890123456784560123456789' 0.49 -> '1231234567890123456784560123456789' Inexact Rounded |
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264 dqadd226 add '1231234567890123456784560123456789' 0.499999 -> '1231234567890123456784560123456789' Inexact Rounded |
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265 dqadd227 add '1231234567890123456784560123456789' 0.499999999 -> '1231234567890123456784560123456789' Inexact Rounded |
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266 dqadd228 add '1231234567890123456784560123456789' 0.5 -> '1231234567890123456784560123456790' Inexact Rounded |
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267 dqadd229 add '1231234567890123456784560123456789' 0.500000001 -> '1231234567890123456784560123456790' Inexact Rounded |
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268 dqadd230 add '1231234567890123456784560123456789' 0.500001 -> '1231234567890123456784560123456790' Inexact Rounded |
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269 dqadd231 add '1231234567890123456784560123456789' 0.51 -> '1231234567890123456784560123456790' Inexact Rounded |
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270 dqadd232 add '1231234567890123456784560123456789' 0.6 -> '1231234567890123456784560123456790' Inexact Rounded |
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271 dqadd233 add '1231234567890123456784560123456789' 0.9 -> '1231234567890123456784560123456790' Inexact Rounded |
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272 dqadd234 add '1231234567890123456784560123456789' 0.99999 -> '1231234567890123456784560123456790' Inexact Rounded |
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273 dqadd235 add '1231234567890123456784560123456789' 0.999999999 -> '1231234567890123456784560123456790' Inexact Rounded |
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274 dqadd236 add '1231234567890123456784560123456789' 1 -> '1231234567890123456784560123456790' |
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275 dqadd237 add '1231234567890123456784560123456789' 1.00000001 -> '1231234567890123456784560123456790' Inexact Rounded |
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276 dqadd238 add '1231234567890123456784560123456789' 1.00001 -> '1231234567890123456784560123456790' Inexact Rounded |
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277 dqadd239 add '1231234567890123456784560123456789' 1.1 -> '1231234567890123456784560123456790' Inexact Rounded |
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278 -- critical few with even bottom digit... |
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279 dqadd240 add '1231234567890123456784560123456788' 0.499999999 -> '1231234567890123456784560123456788' Inexact Rounded |
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280 dqadd241 add '1231234567890123456784560123456788' 0.5 -> '1231234567890123456784560123456788' Inexact Rounded |
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281 dqadd242 add '1231234567890123456784560123456788' 0.500000001 -> '1231234567890123456784560123456789' Inexact Rounded |
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282 |
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283 rounding: down |
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284 dqadd250 add '1231234567890123456784560123456789' 0 -> '1231234567890123456784560123456789' |
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285 dqadd251 add '1231234567890123456784560123456789' 0.000000001 -> '1231234567890123456784560123456789' Inexact Rounded |
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286 dqadd252 add '1231234567890123456784560123456789' 0.000001 -> '1231234567890123456784560123456789' Inexact Rounded |
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287 dqadd253 add '1231234567890123456784560123456789' 0.1 -> '1231234567890123456784560123456789' Inexact Rounded |
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288 dqadd254 add '1231234567890123456784560123456789' 0.4 -> '1231234567890123456784560123456789' Inexact Rounded |
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289 dqadd255 add '1231234567890123456784560123456789' 0.49 -> '1231234567890123456784560123456789' Inexact Rounded |
|
290 dqadd256 add '1231234567890123456784560123456789' 0.499999 -> '1231234567890123456784560123456789' Inexact Rounded |
|
291 dqadd257 add '1231234567890123456784560123456789' 0.499999999 -> '1231234567890123456784560123456789' Inexact Rounded |
|
292 dqadd258 add '1231234567890123456784560123456789' 0.5 -> '1231234567890123456784560123456789' Inexact Rounded |
|
293 dqadd259 add '1231234567890123456784560123456789' 0.500000001 -> '1231234567890123456784560123456789' Inexact Rounded |
|
294 dqadd260 add '1231234567890123456784560123456789' 0.500001 -> '1231234567890123456784560123456789' Inexact Rounded |
|
295 dqadd261 add '1231234567890123456784560123456789' 0.51 -> '1231234567890123456784560123456789' Inexact Rounded |
|
296 dqadd262 add '1231234567890123456784560123456789' 0.6 -> '1231234567890123456784560123456789' Inexact Rounded |
|
297 dqadd263 add '1231234567890123456784560123456789' 0.9 -> '1231234567890123456784560123456789' Inexact Rounded |
|
298 dqadd264 add '1231234567890123456784560123456789' 0.99999 -> '1231234567890123456784560123456789' Inexact Rounded |
|
299 dqadd265 add '1231234567890123456784560123456789' 0.999999999 -> '1231234567890123456784560123456789' Inexact Rounded |
|
300 dqadd266 add '1231234567890123456784560123456789' 1 -> '1231234567890123456784560123456790' |
|
301 dqadd267 add '1231234567890123456784560123456789' 1.00000001 -> '1231234567890123456784560123456790' Inexact Rounded |
|
302 dqadd268 add '1231234567890123456784560123456789' 1.00001 -> '1231234567890123456784560123456790' Inexact Rounded |
|
303 dqadd269 add '1231234567890123456784560123456789' 1.1 -> '1231234567890123456784560123456790' Inexact Rounded |
|
304 |
|
305 -- 1 in last place tests |
|
306 rounding: half_up |
|
307 dqadd301 add -1 1 -> 0 |
|
308 dqadd302 add 0 1 -> 1 |
|
309 dqadd303 add 1 1 -> 2 |
|
310 dqadd304 add 12 1 -> 13 |
|
311 dqadd305 add 98 1 -> 99 |
|
312 dqadd306 add 99 1 -> 100 |
|
313 dqadd307 add 100 1 -> 101 |
|
314 dqadd308 add 101 1 -> 102 |
|
315 dqadd309 add -1 -1 -> -2 |
|
316 dqadd310 add 0 -1 -> -1 |
|
317 dqadd311 add 1 -1 -> 0 |
|
318 dqadd312 add 12 -1 -> 11 |
|
319 dqadd313 add 98 -1 -> 97 |
|
320 dqadd314 add 99 -1 -> 98 |
|
321 dqadd315 add 100 -1 -> 99 |
|
322 dqadd316 add 101 -1 -> 100 |
|
323 |
|
324 dqadd321 add -0.01 0.01 -> 0.00 |
|
325 dqadd322 add 0.00 0.01 -> 0.01 |
|
326 dqadd323 add 0.01 0.01 -> 0.02 |
|
327 dqadd324 add 0.12 0.01 -> 0.13 |
|
328 dqadd325 add 0.98 0.01 -> 0.99 |
|
329 dqadd326 add 0.99 0.01 -> 1.00 |
|
330 dqadd327 add 1.00 0.01 -> 1.01 |
|
331 dqadd328 add 1.01 0.01 -> 1.02 |
|
332 dqadd329 add -0.01 -0.01 -> -0.02 |
|
333 dqadd330 add 0.00 -0.01 -> -0.01 |
|
334 dqadd331 add 0.01 -0.01 -> 0.00 |
|
335 dqadd332 add 0.12 -0.01 -> 0.11 |
|
336 dqadd333 add 0.98 -0.01 -> 0.97 |
|
337 dqadd334 add 0.99 -0.01 -> 0.98 |
|
338 dqadd335 add 1.00 -0.01 -> 0.99 |
|
339 dqadd336 add 1.01 -0.01 -> 1.00 |
|
340 |
|
341 -- some more cases where adding 0 affects the coefficient |
|
342 dqadd340 add 1E+3 0 -> 1000 |
|
343 dqadd341 add 1E+33 0 -> 1000000000000000000000000000000000 |
|
344 dqadd342 add 1E+34 0 -> 1.000000000000000000000000000000000E+34 Rounded |
|
345 dqadd343 add 1E+35 0 -> 1.000000000000000000000000000000000E+35 Rounded |
|
346 -- which simply follow from these cases ... |
|
347 dqadd344 add 1E+3 1 -> 1001 |
|
348 dqadd345 add 1E+33 1 -> 1000000000000000000000000000000001 |
|
349 dqadd346 add 1E+34 1 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
350 dqadd347 add 1E+35 1 -> 1.000000000000000000000000000000000E+35 Inexact Rounded |
|
351 dqadd348 add 1E+3 7 -> 1007 |
|
352 dqadd349 add 1E+33 7 -> 1000000000000000000000000000000007 |
|
353 dqadd350 add 1E+34 7 -> 1.000000000000000000000000000000001E+34 Inexact Rounded |
|
354 dqadd351 add 1E+35 7 -> 1.000000000000000000000000000000000E+35 Inexact Rounded |
|
355 |
|
356 -- tryzeros cases |
|
357 rounding: half_up |
|
358 dqadd360 add 0E+50 10000E+1 -> 1.0000E+5 |
|
359 dqadd361 add 0E-50 10000E+1 -> 100000.0000000000000000000000000000 Rounded |
|
360 dqadd362 add 10000E+1 0E-50 -> 100000.0000000000000000000000000000 Rounded |
|
361 dqadd363 add 10000E+1 10000E-50 -> 100000.0000000000000000000000000000 Rounded Inexact |
|
362 dqadd364 add 9.999999999999999999999999999999999E+6144 -9.999999999999999999999999999999999E+6144 -> 0E+6111 |
|
363 -- 1 234567890123456789012345678901234 |
|
364 |
|
365 -- a curiosity from JSR 13 testing |
|
366 rounding: half_down |
|
367 dqadd370 add 999999999999999999999999999999999 815 -> 1000000000000000000000000000000814 |
|
368 dqadd371 add 9999999999999999999999999999999999 815 -> 1.000000000000000000000000000000081E+34 Rounded Inexact |
|
369 rounding: half_up |
|
370 dqadd372 add 999999999999999999999999999999999 815 -> 1000000000000000000000000000000814 |
|
371 dqadd373 add 9999999999999999999999999999999999 815 -> 1.000000000000000000000000000000081E+34 Rounded Inexact |
|
372 rounding: half_even |
|
373 dqadd374 add 999999999999999999999999999999999 815 -> 1000000000000000000000000000000814 |
|
374 dqadd375 add 9999999999999999999999999999999999 815 -> 1.000000000000000000000000000000081E+34 Rounded Inexact |
|
375 |
|
376 -- ulp replacement tests |
|
377 dqadd400 add 1 77e-32 -> 1.00000000000000000000000000000077 |
|
378 dqadd401 add 1 77e-33 -> 1.000000000000000000000000000000077 |
|
379 dqadd402 add 1 77e-34 -> 1.000000000000000000000000000000008 Inexact Rounded |
|
380 dqadd403 add 1 77e-35 -> 1.000000000000000000000000000000001 Inexact Rounded |
|
381 dqadd404 add 1 77e-36 -> 1.000000000000000000000000000000000 Inexact Rounded |
|
382 dqadd405 add 1 77e-37 -> 1.000000000000000000000000000000000 Inexact Rounded |
|
383 dqadd406 add 1 77e-299 -> 1.000000000000000000000000000000000 Inexact Rounded |
|
384 |
|
385 dqadd410 add 10 77e-32 -> 10.00000000000000000000000000000077 |
|
386 dqadd411 add 10 77e-33 -> 10.00000000000000000000000000000008 Inexact Rounded |
|
387 dqadd412 add 10 77e-34 -> 10.00000000000000000000000000000001 Inexact Rounded |
|
388 dqadd413 add 10 77e-35 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
389 dqadd414 add 10 77e-36 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
390 dqadd415 add 10 77e-37 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
391 dqadd416 add 10 77e-299 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
392 |
|
393 dqadd420 add 77e-32 1 -> 1.00000000000000000000000000000077 |
|
394 dqadd421 add 77e-33 1 -> 1.000000000000000000000000000000077 |
|
395 dqadd422 add 77e-34 1 -> 1.000000000000000000000000000000008 Inexact Rounded |
|
396 dqadd423 add 77e-35 1 -> 1.000000000000000000000000000000001 Inexact Rounded |
|
397 dqadd424 add 77e-36 1 -> 1.000000000000000000000000000000000 Inexact Rounded |
|
398 dqadd425 add 77e-37 1 -> 1.000000000000000000000000000000000 Inexact Rounded |
|
399 dqadd426 add 77e-299 1 -> 1.000000000000000000000000000000000 Inexact Rounded |
|
400 |
|
401 dqadd430 add 77e-32 10 -> 10.00000000000000000000000000000077 |
|
402 dqadd431 add 77e-33 10 -> 10.00000000000000000000000000000008 Inexact Rounded |
|
403 dqadd432 add 77e-34 10 -> 10.00000000000000000000000000000001 Inexact Rounded |
|
404 dqadd433 add 77e-35 10 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
405 dqadd434 add 77e-36 10 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
406 dqadd435 add 77e-37 10 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
407 dqadd436 add 77e-299 10 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
408 |
|
409 -- fastpath boundaries |
|
410 -- 1234567890123456789012345678901234 |
|
411 dqadd501 add '4444444444444444444444444444444444' '5555555555555555555555555555555555' -> '9999999999999999999999999999999999' |
|
412 dqadd502 add '4444444444444444444444444444444444' '4555555555555555555555555555555555' -> '8999999999999999999999999999999999' |
|
413 dqadd503 add '4444444444444444444444444444444444' '3555555555555555555055555555555555' -> '7999999999999999999499999999999999' |
|
414 dqadd504 add '4444444444444444444444444444444444' '3955555555555555555555555555555555' -> '8399999999999999999999999999999999' |
|
415 dqadd505 add '4444444444444444444444444444444444' '4955555555555555555555555555555555' -> '9399999999999999999999999999999999' |
|
416 dqadd506 add '4444444444444444444444444444444444' '5955555555555555555555555555555555' -> 1.040000000000000000000000000000000E+34 Inexact Rounded |
|
417 dqadd511 add '344444444444444444444444444444444' '555555555555555555555555555555555' -> '899999999999999999999999999999999' |
|
418 dqadd512 add '34444444444444444444444444444444' '55555555555555555555555555555555' -> '89999999999999999999999999999999' |
|
419 dqadd513 add '3444444444444444444444444444444' '5555555555555555555555555555555' -> '8999999999999999999999999999999' |
|
420 dqadd514 add '344444444444444444444444444444' '555555555555555555555555555555' -> '899999999999999999999999999999' |
|
421 dqadd515 add '34444444444444444444444444444' '55555555555555555555555555555' -> '89999999999999999999999999999' |
|
422 dqadd516 add '3444444444444444444444444444' '5555555555555555555555555555' -> '8999999999999999999999999999' |
|
423 dqadd517 add '344444444444444444444444444' '555555555555555555555555555' -> '899999999999999999999999999' |
|
424 dqadd518 add '34444444444444444444444444' '55555555555555555555555555' -> '89999999999999999999999999' |
|
425 dqadd519 add '3444444444444444444444444' '5555555555555555555555555' -> '8999999999999999999999999' |
|
426 dqadd520 add '344444444444444444444444' '555555555555555555555555' -> '899999999999999999999999' |
|
427 dqadd521 add '34444444444444444444444' '55555555555555555555555' -> '89999999999999999999999' |
|
428 dqadd522 add '3444444444444444444444' '5555555555555555555555' -> '8999999999999999999999' |
|
429 dqadd523 add '4444444444444444444444' '3333333333333333333333' -> '7777777777777777777777' |
|
430 dqadd524 add '344444444444444444444' '555555555555555555555' -> '899999999999999999999' |
|
431 dqadd525 add '34444444444444444444' '55555555555555555555' -> '89999999999999999999' |
|
432 dqadd526 add '3444444444444444444' '5555555555555555555' -> '8999999999999999999' |
|
433 dqadd527 add '344444444444444444' '555555555555555555' -> '899999999999999999' |
|
434 dqadd528 add '34444444444444444' '55555555555555555' -> '89999999999999999' |
|
435 dqadd529 add '3444444444444444' '5555555555555555' -> '8999999999999999' |
|
436 dqadd530 add '344444444444444' '555555555555555' -> '899999999999999' |
|
437 dqadd531 add '34444444444444' '55555555555555' -> '89999999999999' |
|
438 dqadd532 add '3444444444444' '5555555555555' -> '8999999999999' |
|
439 dqadd533 add '344444444444' '555555555555' -> '899999999999' |
|
440 dqadd534 add '34444444444' '55555555555' -> '89999999999' |
|
441 dqadd535 add '3444444444' '5555555555' -> '8999999999' |
|
442 dqadd536 add '344444444' '555555555' -> '899999999' |
|
443 dqadd537 add '34444444' '55555555' -> '89999999' |
|
444 dqadd538 add '3444444' '5555555' -> '8999999' |
|
445 dqadd539 add '344444' '555555' -> '899999' |
|
446 dqadd540 add '34444' '55555' -> '89999' |
|
447 dqadd541 add '3444' '5555' -> '8999' |
|
448 dqadd542 add '344' '555' -> '899' |
|
449 dqadd543 add '34' '55' -> '89' |
|
450 dqadd544 add '3' '5' -> '8' |
|
451 |
|
452 dqadd545 add '3000004000000000000000000000000000' '3000000000000040000000000000000000' -> '6000004000000040000000000000000000' |
|
453 dqadd546 add '3000000400000000000000000000000000' '4000000000000400000000000000000000' -> '7000000400000400000000000000000000' |
|
454 dqadd547 add '3000000040000000000000000000000000' '5000000000004000000000000000000000' -> '8000000040004000000000000000000000' |
|
455 dqadd548 add '4000000004000000000000000000000000' '3000000000040000000000000000000000' -> '7000000004040000000000000000000000' |
|
456 dqadd549 add '4000000000400000000000000000000000' '4000000000400000000000000000000000' -> '8000000000800000000000000000000000' |
|
457 dqadd550 add '4000000000040000000000000000000000' '5000000004000000000000000000000000' -> '9000000004040000000000000000000000' |
|
458 dqadd551 add '5000000000004000000000000000000000' '3000000040000000000000000000000000' -> '8000000040004000000000000000000000' |
|
459 dqadd552 add '5000000000000400000000000000000000' '4000000400000000000000000000000000' -> '9000000400000400000000000000000000' |
|
460 dqadd553 add '5000000000000040000000000000000000' '5000004000000000000000000000000000' -> 1.000000400000004000000000000000000E+34 Rounded |
|
461 -- check propagation |
|
462 dqadd554 add '8999999999999999999999999999999999' '0000000000000000000000000000000001' -> 9000000000000000000000000000000000 |
|
463 dqadd555 add '0000000000000000000000000000000001' '8999999999999999999999999999999999' -> 9000000000000000000000000000000000 |
|
464 dqadd556 add '4444444444444444444444444444444444' '4555555555555555555555555555555556' -> 9000000000000000000000000000000000 |
|
465 dqadd557 add '4555555555555555555555555555555556' '4444444444444444444444444444444444' -> 9000000000000000000000000000000000 |
|
466 |
|
467 -- negative ulps |
|
468 dqadd6440 add 1 -77e-32 -> 0.99999999999999999999999999999923 |
|
469 dqadd6441 add 1 -77e-33 -> 0.999999999999999999999999999999923 |
|
470 dqadd6442 add 1 -77e-34 -> 0.9999999999999999999999999999999923 |
|
471 dqadd6443 add 1 -77e-35 -> 0.9999999999999999999999999999999992 Inexact Rounded |
|
472 dqadd6444 add 1 -77e-36 -> 0.9999999999999999999999999999999999 Inexact Rounded |
|
473 dqadd6445 add 1 -77e-37 -> 1.000000000000000000000000000000000 Inexact Rounded |
|
474 dqadd6446 add 1 -77e-99 -> 1.000000000000000000000000000000000 Inexact Rounded |
|
475 |
|
476 dqadd6450 add 10 -77e-32 -> 9.99999999999999999999999999999923 |
|
477 dqadd6451 add 10 -77e-33 -> 9.999999999999999999999999999999923 |
|
478 dqadd6452 add 10 -77e-34 -> 9.999999999999999999999999999999992 Inexact Rounded |
|
479 dqadd6453 add 10 -77e-35 -> 9.999999999999999999999999999999999 Inexact Rounded |
|
480 dqadd6454 add 10 -77e-36 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
481 dqadd6455 add 10 -77e-37 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
482 dqadd6456 add 10 -77e-99 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
483 |
|
484 dqadd6460 add -77e-32 1 -> 0.99999999999999999999999999999923 |
|
485 dqadd6461 add -77e-33 1 -> 0.999999999999999999999999999999923 |
|
486 dqadd6462 add -77e-34 1 -> 0.9999999999999999999999999999999923 |
|
487 dqadd6463 add -77e-35 1 -> 0.9999999999999999999999999999999992 Inexact Rounded |
|
488 dqadd6464 add -77e-36 1 -> 0.9999999999999999999999999999999999 Inexact Rounded |
|
489 dqadd6465 add -77e-37 1 -> 1.000000000000000000000000000000000 Inexact Rounded |
|
490 dqadd6466 add -77e-99 1 -> 1.000000000000000000000000000000000 Inexact Rounded |
|
491 |
|
492 dqadd6470 add -77e-32 10 -> 9.99999999999999999999999999999923 |
|
493 dqadd6471 add -77e-33 10 -> 9.999999999999999999999999999999923 |
|
494 dqadd6472 add -77e-34 10 -> 9.999999999999999999999999999999992 Inexact Rounded |
|
495 dqadd6473 add -77e-35 10 -> 9.999999999999999999999999999999999 Inexact Rounded |
|
496 dqadd6474 add -77e-36 10 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
497 dqadd6475 add -77e-37 10 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
498 dqadd6476 add -77e-99 10 -> 10.00000000000000000000000000000000 Inexact Rounded |
|
499 |
|
500 -- negative ulps |
|
501 dqadd6480 add -1 77e-32 -> -0.99999999999999999999999999999923 |
|
502 dqadd6481 add -1 77e-33 -> -0.999999999999999999999999999999923 |
|
503 dqadd6482 add -1 77e-34 -> -0.9999999999999999999999999999999923 |
|
504 dqadd6483 add -1 77e-35 -> -0.9999999999999999999999999999999992 Inexact Rounded |
|
505 dqadd6484 add -1 77e-36 -> -0.9999999999999999999999999999999999 Inexact Rounded |
|
506 dqadd6485 add -1 77e-37 -> -1.000000000000000000000000000000000 Inexact Rounded |
|
507 dqadd6486 add -1 77e-99 -> -1.000000000000000000000000000000000 Inexact Rounded |
|
508 |
|
509 dqadd6490 add -10 77e-32 -> -9.99999999999999999999999999999923 |
|
510 dqadd6491 add -10 77e-33 -> -9.999999999999999999999999999999923 |
|
511 dqadd6492 add -10 77e-34 -> -9.999999999999999999999999999999992 Inexact Rounded |
|
512 dqadd6493 add -10 77e-35 -> -9.999999999999999999999999999999999 Inexact Rounded |
|
513 dqadd6494 add -10 77e-36 -> -10.00000000000000000000000000000000 Inexact Rounded |
|
514 dqadd6495 add -10 77e-37 -> -10.00000000000000000000000000000000 Inexact Rounded |
|
515 dqadd6496 add -10 77e-99 -> -10.00000000000000000000000000000000 Inexact Rounded |
|
516 |
|
517 dqadd6500 add 77e-32 -1 -> -0.99999999999999999999999999999923 |
|
518 dqadd6501 add 77e-33 -1 -> -0.999999999999999999999999999999923 |
|
519 dqadd6502 add 77e-34 -1 -> -0.9999999999999999999999999999999923 |
|
520 dqadd6503 add 77e-35 -1 -> -0.9999999999999999999999999999999992 Inexact Rounded |
|
521 dqadd6504 add 77e-36 -1 -> -0.9999999999999999999999999999999999 Inexact Rounded |
|
522 dqadd6505 add 77e-37 -1 -> -1.000000000000000000000000000000000 Inexact Rounded |
|
523 dqadd6506 add 77e-99 -1 -> -1.000000000000000000000000000000000 Inexact Rounded |
|
524 |
|
525 dqadd6510 add 77e-32 -10 -> -9.99999999999999999999999999999923 |
|
526 dqadd6511 add 77e-33 -10 -> -9.999999999999999999999999999999923 |
|
527 dqadd6512 add 77e-34 -10 -> -9.999999999999999999999999999999992 Inexact Rounded |
|
528 dqadd6513 add 77e-35 -10 -> -9.999999999999999999999999999999999 Inexact Rounded |
|
529 dqadd6514 add 77e-36 -10 -> -10.00000000000000000000000000000000 Inexact Rounded |
|
530 dqadd6515 add 77e-37 -10 -> -10.00000000000000000000000000000000 Inexact Rounded |
|
531 dqadd6516 add 77e-99 -10 -> -10.00000000000000000000000000000000 Inexact Rounded |
|
532 |
|
533 -- and some more residue effects and different roundings |
|
534 rounding: half_up |
|
535 dqadd6540 add '9876543219876543216543210123456789' 0 -> '9876543219876543216543210123456789' |
|
536 dqadd6541 add '9876543219876543216543210123456789' 0.000000001 -> '9876543219876543216543210123456789' Inexact Rounded |
|
537 dqadd6542 add '9876543219876543216543210123456789' 0.000001 -> '9876543219876543216543210123456789' Inexact Rounded |
|
538 dqadd6543 add '9876543219876543216543210123456789' 0.1 -> '9876543219876543216543210123456789' Inexact Rounded |
|
539 dqadd6544 add '9876543219876543216543210123456789' 0.4 -> '9876543219876543216543210123456789' Inexact Rounded |
|
540 dqadd6545 add '9876543219876543216543210123456789' 0.49 -> '9876543219876543216543210123456789' Inexact Rounded |
|
541 dqadd6546 add '9876543219876543216543210123456789' 0.499999 -> '9876543219876543216543210123456789' Inexact Rounded |
|
542 dqadd6547 add '9876543219876543216543210123456789' 0.499999999 -> '9876543219876543216543210123456789' Inexact Rounded |
|
543 dqadd6548 add '9876543219876543216543210123456789' 0.5 -> '9876543219876543216543210123456790' Inexact Rounded |
|
544 dqadd6549 add '9876543219876543216543210123456789' 0.500000001 -> '9876543219876543216543210123456790' Inexact Rounded |
|
545 dqadd6550 add '9876543219876543216543210123456789' 0.500001 -> '9876543219876543216543210123456790' Inexact Rounded |
|
546 dqadd6551 add '9876543219876543216543210123456789' 0.51 -> '9876543219876543216543210123456790' Inexact Rounded |
|
547 dqadd6552 add '9876543219876543216543210123456789' 0.6 -> '9876543219876543216543210123456790' Inexact Rounded |
|
548 dqadd6553 add '9876543219876543216543210123456789' 0.9 -> '9876543219876543216543210123456790' Inexact Rounded |
|
549 dqadd6554 add '9876543219876543216543210123456789' 0.99999 -> '9876543219876543216543210123456790' Inexact Rounded |
|
550 dqadd6555 add '9876543219876543216543210123456789' 0.999999999 -> '9876543219876543216543210123456790' Inexact Rounded |
|
551 dqadd6556 add '9876543219876543216543210123456789' 1 -> '9876543219876543216543210123456790' |
|
552 dqadd6557 add '9876543219876543216543210123456789' 1.000000001 -> '9876543219876543216543210123456790' Inexact Rounded |
|
553 dqadd6558 add '9876543219876543216543210123456789' 1.00001 -> '9876543219876543216543210123456790' Inexact Rounded |
|
554 dqadd6559 add '9876543219876543216543210123456789' 1.1 -> '9876543219876543216543210123456790' Inexact Rounded |
|
555 |
|
556 rounding: half_even |
|
557 dqadd6560 add '9876543219876543216543210123456789' 0 -> '9876543219876543216543210123456789' |
|
558 dqadd6561 add '9876543219876543216543210123456789' 0.000000001 -> '9876543219876543216543210123456789' Inexact Rounded |
|
559 dqadd6562 add '9876543219876543216543210123456789' 0.000001 -> '9876543219876543216543210123456789' Inexact Rounded |
|
560 dqadd6563 add '9876543219876543216543210123456789' 0.1 -> '9876543219876543216543210123456789' Inexact Rounded |
|
561 dqadd6564 add '9876543219876543216543210123456789' 0.4 -> '9876543219876543216543210123456789' Inexact Rounded |
|
562 dqadd6565 add '9876543219876543216543210123456789' 0.49 -> '9876543219876543216543210123456789' Inexact Rounded |
|
563 dqadd6566 add '9876543219876543216543210123456789' 0.499999 -> '9876543219876543216543210123456789' Inexact Rounded |
|
564 dqadd6567 add '9876543219876543216543210123456789' 0.499999999 -> '9876543219876543216543210123456789' Inexact Rounded |
|
565 dqadd6568 add '9876543219876543216543210123456789' 0.5 -> '9876543219876543216543210123456790' Inexact Rounded |
|
566 dqadd6569 add '9876543219876543216543210123456789' 0.500000001 -> '9876543219876543216543210123456790' Inexact Rounded |
|
567 dqadd6570 add '9876543219876543216543210123456789' 0.500001 -> '9876543219876543216543210123456790' Inexact Rounded |
|
568 dqadd6571 add '9876543219876543216543210123456789' 0.51 -> '9876543219876543216543210123456790' Inexact Rounded |
|
569 dqadd6572 add '9876543219876543216543210123456789' 0.6 -> '9876543219876543216543210123456790' Inexact Rounded |
|
570 dqadd6573 add '9876543219876543216543210123456789' 0.9 -> '9876543219876543216543210123456790' Inexact Rounded |
|
571 dqadd6574 add '9876543219876543216543210123456789' 0.99999 -> '9876543219876543216543210123456790' Inexact Rounded |
|
572 dqadd6575 add '9876543219876543216543210123456789' 0.999999999 -> '9876543219876543216543210123456790' Inexact Rounded |
|
573 dqadd6576 add '9876543219876543216543210123456789' 1 -> '9876543219876543216543210123456790' |
|
574 dqadd6577 add '9876543219876543216543210123456789' 1.00000001 -> '9876543219876543216543210123456790' Inexact Rounded |
|
575 dqadd6578 add '9876543219876543216543210123456789' 1.00001 -> '9876543219876543216543210123456790' Inexact Rounded |
|
576 dqadd6579 add '9876543219876543216543210123456789' 1.1 -> '9876543219876543216543210123456790' Inexact Rounded |
|
577 |
|
578 -- critical few with even bottom digit... |
|
579 dqadd7540 add '9876543219876543216543210123456788' 0.499999999 -> '9876543219876543216543210123456788' Inexact Rounded |
|
580 dqadd7541 add '9876543219876543216543210123456788' 0.5 -> '9876543219876543216543210123456788' Inexact Rounded |
|
581 dqadd7542 add '9876543219876543216543210123456788' 0.500000001 -> '9876543219876543216543210123456789' Inexact Rounded |
|
582 |
|
583 rounding: down |
|
584 dqadd7550 add '9876543219876543216543210123456789' 0 -> '9876543219876543216543210123456789' |
|
585 dqadd7551 add '9876543219876543216543210123456789' 0.000000001 -> '9876543219876543216543210123456789' Inexact Rounded |
|
586 dqadd7552 add '9876543219876543216543210123456789' 0.000001 -> '9876543219876543216543210123456789' Inexact Rounded |
|
587 dqadd7553 add '9876543219876543216543210123456789' 0.1 -> '9876543219876543216543210123456789' Inexact Rounded |
|
588 dqadd7554 add '9876543219876543216543210123456789' 0.4 -> '9876543219876543216543210123456789' Inexact Rounded |
|
589 dqadd7555 add '9876543219876543216543210123456789' 0.49 -> '9876543219876543216543210123456789' Inexact Rounded |
|
590 dqadd7556 add '9876543219876543216543210123456789' 0.499999 -> '9876543219876543216543210123456789' Inexact Rounded |
|
591 dqadd7557 add '9876543219876543216543210123456789' 0.499999999 -> '9876543219876543216543210123456789' Inexact Rounded |
|
592 dqadd7558 add '9876543219876543216543210123456789' 0.5 -> '9876543219876543216543210123456789' Inexact Rounded |
|
593 dqadd7559 add '9876543219876543216543210123456789' 0.500000001 -> '9876543219876543216543210123456789' Inexact Rounded |
|
594 dqadd7560 add '9876543219876543216543210123456789' 0.500001 -> '9876543219876543216543210123456789' Inexact Rounded |
|
595 dqadd7561 add '9876543219876543216543210123456789' 0.51 -> '9876543219876543216543210123456789' Inexact Rounded |
|
596 dqadd7562 add '9876543219876543216543210123456789' 0.6 -> '9876543219876543216543210123456789' Inexact Rounded |
|
597 dqadd7563 add '9876543219876543216543210123456789' 0.9 -> '9876543219876543216543210123456789' Inexact Rounded |
|
598 dqadd7564 add '9876543219876543216543210123456789' 0.99999 -> '9876543219876543216543210123456789' Inexact Rounded |
|
599 dqadd7565 add '9876543219876543216543210123456789' 0.999999999 -> '9876543219876543216543210123456789' Inexact Rounded |
|
600 dqadd7566 add '9876543219876543216543210123456789' 1 -> '9876543219876543216543210123456790' |
|
601 dqadd7567 add '9876543219876543216543210123456789' 1.00000001 -> '9876543219876543216543210123456790' Inexact Rounded |
|
602 dqadd7568 add '9876543219876543216543210123456789' 1.00001 -> '9876543219876543216543210123456790' Inexact Rounded |
|
603 dqadd7569 add '9876543219876543216543210123456789' 1.1 -> '9876543219876543216543210123456790' Inexact Rounded |
|
604 |
|
605 -- more zeros, etc. |
|
606 rounding: half_even |
|
607 |
|
608 dqadd7701 add 5.00 1.00E-3 -> 5.00100 |
|
609 dqadd7702 add 00.00 0.000 -> 0.000 |
|
610 dqadd7703 add 00.00 0E-3 -> 0.000 |
|
611 dqadd7704 add 0E-3 00.00 -> 0.000 |
|
612 |
|
613 dqadd7710 add 0E+3 00.00 -> 0.00 |
|
614 dqadd7711 add 0E+3 00.0 -> 0.0 |
|
615 dqadd7712 add 0E+3 00. -> 0 |
|
616 dqadd7713 add 0E+3 00.E+1 -> 0E+1 |
|
617 dqadd7714 add 0E+3 00.E+2 -> 0E+2 |
|
618 dqadd7715 add 0E+3 00.E+3 -> 0E+3 |
|
619 dqadd7716 add 0E+3 00.E+4 -> 0E+3 |
|
620 dqadd7717 add 0E+3 00.E+5 -> 0E+3 |
|
621 dqadd7718 add 0E+3 -00.0 -> 0.0 |
|
622 dqadd7719 add 0E+3 -00. -> 0 |
|
623 dqadd7731 add 0E+3 -00.E+1 -> 0E+1 |
|
624 |
|
625 dqadd7720 add 00.00 0E+3 -> 0.00 |
|
626 dqadd7721 add 00.0 0E+3 -> 0.0 |
|
627 dqadd7722 add 00. 0E+3 -> 0 |
|
628 dqadd7723 add 00.E+1 0E+3 -> 0E+1 |
|
629 dqadd7724 add 00.E+2 0E+3 -> 0E+2 |
|
630 dqadd7725 add 00.E+3 0E+3 -> 0E+3 |
|
631 dqadd7726 add 00.E+4 0E+3 -> 0E+3 |
|
632 dqadd7727 add 00.E+5 0E+3 -> 0E+3 |
|
633 dqadd7728 add -00.00 0E+3 -> 0.00 |
|
634 dqadd7729 add -00.0 0E+3 -> 0.0 |
|
635 dqadd7730 add -00. 0E+3 -> 0 |
|
636 |
|
637 dqadd7732 add 0 0 -> 0 |
|
638 dqadd7733 add 0 -0 -> 0 |
|
639 dqadd7734 add -0 0 -> 0 |
|
640 dqadd7735 add -0 -0 -> -0 -- IEEE 854 special case |
|
641 |
|
642 dqadd7736 add 1 -1 -> 0 |
|
643 dqadd7737 add -1 -1 -> -2 |
|
644 dqadd7738 add 1 1 -> 2 |
|
645 dqadd7739 add -1 1 -> 0 |
|
646 |
|
647 dqadd7741 add 0 -1 -> -1 |
|
648 dqadd7742 add -0 -1 -> -1 |
|
649 dqadd7743 add 0 1 -> 1 |
|
650 dqadd7744 add -0 1 -> 1 |
|
651 dqadd7745 add -1 0 -> -1 |
|
652 dqadd7746 add -1 -0 -> -1 |
|
653 dqadd7747 add 1 0 -> 1 |
|
654 dqadd7748 add 1 -0 -> 1 |
|
655 |
|
656 dqadd7751 add 0.0 -1 -> -1.0 |
|
657 dqadd7752 add -0.0 -1 -> -1.0 |
|
658 dqadd7753 add 0.0 1 -> 1.0 |
|
659 dqadd7754 add -0.0 1 -> 1.0 |
|
660 dqadd7755 add -1.0 0 -> -1.0 |
|
661 dqadd7756 add -1.0 -0 -> -1.0 |
|
662 dqadd7757 add 1.0 0 -> 1.0 |
|
663 dqadd7758 add 1.0 -0 -> 1.0 |
|
664 |
|
665 dqadd7761 add 0 -1.0 -> -1.0 |
|
666 dqadd7762 add -0 -1.0 -> -1.0 |
|
667 dqadd7763 add 0 1.0 -> 1.0 |
|
668 dqadd7764 add -0 1.0 -> 1.0 |
|
669 dqadd7765 add -1 0.0 -> -1.0 |
|
670 dqadd7766 add -1 -0.0 -> -1.0 |
|
671 dqadd7767 add 1 0.0 -> 1.0 |
|
672 dqadd7768 add 1 -0.0 -> 1.0 |
|
673 |
|
674 dqadd7771 add 0.0 -1.0 -> -1.0 |
|
675 dqadd7772 add -0.0 -1.0 -> -1.0 |
|
676 dqadd7773 add 0.0 1.0 -> 1.0 |
|
677 dqadd7774 add -0.0 1.0 -> 1.0 |
|
678 dqadd7775 add -1.0 0.0 -> -1.0 |
|
679 dqadd7776 add -1.0 -0.0 -> -1.0 |
|
680 dqadd7777 add 1.0 0.0 -> 1.0 |
|
681 dqadd7778 add 1.0 -0.0 -> 1.0 |
|
682 |
|
683 -- Specials |
|
684 dqadd7780 add -Inf -Inf -> -Infinity |
|
685 dqadd7781 add -Inf -1000 -> -Infinity |
|
686 dqadd7782 add -Inf -1 -> -Infinity |
|
687 dqadd7783 add -Inf -0 -> -Infinity |
|
688 dqadd7784 add -Inf 0 -> -Infinity |
|
689 dqadd7785 add -Inf 1 -> -Infinity |
|
690 dqadd7786 add -Inf 1000 -> -Infinity |
|
691 dqadd7787 add -1000 -Inf -> -Infinity |
|
692 dqadd7788 add -Inf -Inf -> -Infinity |
|
693 dqadd7789 add -1 -Inf -> -Infinity |
|
694 dqadd7790 add -0 -Inf -> -Infinity |
|
695 dqadd7791 add 0 -Inf -> -Infinity |
|
696 dqadd7792 add 1 -Inf -> -Infinity |
|
697 dqadd7793 add 1000 -Inf -> -Infinity |
|
698 dqadd7794 add Inf -Inf -> NaN Invalid_operation |
|
699 |
|
700 dqadd7800 add Inf -Inf -> NaN Invalid_operation |
|
701 dqadd7801 add Inf -1000 -> Infinity |
|
702 dqadd7802 add Inf -1 -> Infinity |
|
703 dqadd7803 add Inf -0 -> Infinity |
|
704 dqadd7804 add Inf 0 -> Infinity |
|
705 dqadd7805 add Inf 1 -> Infinity |
|
706 dqadd7806 add Inf 1000 -> Infinity |
|
707 dqadd7807 add Inf Inf -> Infinity |
|
708 dqadd7808 add -1000 Inf -> Infinity |
|
709 dqadd7809 add -Inf Inf -> NaN Invalid_operation |
|
710 dqadd7810 add -1 Inf -> Infinity |
|
711 dqadd7811 add -0 Inf -> Infinity |
|
712 dqadd7812 add 0 Inf -> Infinity |
|
713 dqadd7813 add 1 Inf -> Infinity |
|
714 dqadd7814 add 1000 Inf -> Infinity |
|
715 dqadd7815 add Inf Inf -> Infinity |
|
716 |
|
717 dqadd7821 add NaN -Inf -> NaN |
|
718 dqadd7822 add NaN -1000 -> NaN |
|
719 dqadd7823 add NaN -1 -> NaN |
|
720 dqadd7824 add NaN -0 -> NaN |
|
721 dqadd7825 add NaN 0 -> NaN |
|
722 dqadd7826 add NaN 1 -> NaN |
|
723 dqadd7827 add NaN 1000 -> NaN |
|
724 dqadd7828 add NaN Inf -> NaN |
|
725 dqadd7829 add NaN NaN -> NaN |
|
726 dqadd7830 add -Inf NaN -> NaN |
|
727 dqadd7831 add -1000 NaN -> NaN |
|
728 dqadd7832 add -1 NaN -> NaN |
|
729 dqadd7833 add -0 NaN -> NaN |
|
730 dqadd7834 add 0 NaN -> NaN |
|
731 dqadd7835 add 1 NaN -> NaN |
|
732 dqadd7836 add 1000 NaN -> NaN |
|
733 dqadd7837 add Inf NaN -> NaN |
|
734 |
|
735 dqadd7841 add sNaN -Inf -> NaN Invalid_operation |
|
736 dqadd7842 add sNaN -1000 -> NaN Invalid_operation |
|
737 dqadd7843 add sNaN -1 -> NaN Invalid_operation |
|
738 dqadd7844 add sNaN -0 -> NaN Invalid_operation |
|
739 dqadd7845 add sNaN 0 -> NaN Invalid_operation |
|
740 dqadd7846 add sNaN 1 -> NaN Invalid_operation |
|
741 dqadd7847 add sNaN 1000 -> NaN Invalid_operation |
|
742 dqadd7848 add sNaN NaN -> NaN Invalid_operation |
|
743 dqadd7849 add sNaN sNaN -> NaN Invalid_operation |
|
744 dqadd7850 add NaN sNaN -> NaN Invalid_operation |
|
745 dqadd7851 add -Inf sNaN -> NaN Invalid_operation |
|
746 dqadd7852 add -1000 sNaN -> NaN Invalid_operation |
|
747 dqadd7853 add -1 sNaN -> NaN Invalid_operation |
|
748 dqadd7854 add -0 sNaN -> NaN Invalid_operation |
|
749 dqadd7855 add 0 sNaN -> NaN Invalid_operation |
|
750 dqadd7856 add 1 sNaN -> NaN Invalid_operation |
|
751 dqadd7857 add 1000 sNaN -> NaN Invalid_operation |
|
752 dqadd7858 add Inf sNaN -> NaN Invalid_operation |
|
753 dqadd7859 add NaN sNaN -> NaN Invalid_operation |
|
754 |
|
755 -- propagating NaNs |
|
756 dqadd7861 add NaN1 -Inf -> NaN1 |
|
757 dqadd7862 add +NaN2 -1000 -> NaN2 |
|
758 dqadd7863 add NaN3 1000 -> NaN3 |
|
759 dqadd7864 add NaN4 Inf -> NaN4 |
|
760 dqadd7865 add NaN5 +NaN6 -> NaN5 |
|
761 dqadd7866 add -Inf NaN7 -> NaN7 |
|
762 dqadd7867 add -1000 NaN8 -> NaN8 |
|
763 dqadd7868 add 1000 NaN9 -> NaN9 |
|
764 dqadd7869 add Inf +NaN10 -> NaN10 |
|
765 dqadd7871 add sNaN11 -Inf -> NaN11 Invalid_operation |
|
766 dqadd7872 add sNaN12 -1000 -> NaN12 Invalid_operation |
|
767 dqadd7873 add sNaN13 1000 -> NaN13 Invalid_operation |
|
768 dqadd7874 add sNaN14 NaN17 -> NaN14 Invalid_operation |
|
769 dqadd7875 add sNaN15 sNaN18 -> NaN15 Invalid_operation |
|
770 dqadd7876 add NaN16 sNaN19 -> NaN19 Invalid_operation |
|
771 dqadd7877 add -Inf +sNaN20 -> NaN20 Invalid_operation |
|
772 dqadd7878 add -1000 sNaN21 -> NaN21 Invalid_operation |
|
773 dqadd7879 add 1000 sNaN22 -> NaN22 Invalid_operation |
|
774 dqadd7880 add Inf sNaN23 -> NaN23 Invalid_operation |
|
775 dqadd7881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation |
|
776 dqadd7882 add -NaN26 NaN28 -> -NaN26 |
|
777 dqadd7883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation |
|
778 dqadd7884 add 1000 -NaN30 -> -NaN30 |
|
779 dqadd7885 add 1000 -sNaN31 -> -NaN31 Invalid_operation |
|
780 |
|
781 -- Here we explore near the boundary of rounding a subnormal to Nmin |
|
782 dqadd7575 add 1E-6143 -1E-6176 -> 9.99999999999999999999999999999999E-6144 Subnormal |
|
783 dqadd7576 add -1E-6143 +1E-6176 -> -9.99999999999999999999999999999999E-6144 Subnormal |
|
784 |
|
785 -- check overflow edge case |
|
786 -- 1234567890123456 |
|
787 dqadd7972 apply 9.999999999999999999999999999999999E+6144 -> 9.999999999999999999999999999999999E+6144 |
|
788 dqadd7973 add 9.999999999999999999999999999999999E+6144 1 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded |
|
789 dqadd7974 add 9999999999999999999999999999999999E+6111 1 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded |
|
790 dqadd7975 add 9999999999999999999999999999999999E+6111 1E+6111 -> Infinity Overflow Inexact Rounded |
|
791 dqadd7976 add 9999999999999999999999999999999999E+6111 9E+6110 -> Infinity Overflow Inexact Rounded |
|
792 dqadd7977 add 9999999999999999999999999999999999E+6111 8E+6110 -> Infinity Overflow Inexact Rounded |
|
793 dqadd7978 add 9999999999999999999999999999999999E+6111 7E+6110 -> Infinity Overflow Inexact Rounded |
|
794 dqadd7979 add 9999999999999999999999999999999999E+6111 6E+6110 -> Infinity Overflow Inexact Rounded |
|
795 dqadd7980 add 9999999999999999999999999999999999E+6111 5E+6110 -> Infinity Overflow Inexact Rounded |
|
796 dqadd7981 add 9999999999999999999999999999999999E+6111 4E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded |
|
797 dqadd7982 add 9999999999999999999999999999999999E+6111 3E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded |
|
798 dqadd7983 add 9999999999999999999999999999999999E+6111 2E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded |
|
799 dqadd7984 add 9999999999999999999999999999999999E+6111 1E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded |
|
800 |
|
801 dqadd7985 apply -9.999999999999999999999999999999999E+6144 -> -9.999999999999999999999999999999999E+6144 |
|
802 dqadd7986 add -9.999999999999999999999999999999999E+6144 -1 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded |
|
803 dqadd7987 add -9999999999999999999999999999999999E+6111 -1 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded |
|
804 dqadd7988 add -9999999999999999999999999999999999E+6111 -1E+6111 -> -Infinity Overflow Inexact Rounded |
|
805 dqadd7989 add -9999999999999999999999999999999999E+6111 -9E+6110 -> -Infinity Overflow Inexact Rounded |
|
806 dqadd7990 add -9999999999999999999999999999999999E+6111 -8E+6110 -> -Infinity Overflow Inexact Rounded |
|
807 dqadd7991 add -9999999999999999999999999999999999E+6111 -7E+6110 -> -Infinity Overflow Inexact Rounded |
|
808 dqadd7992 add -9999999999999999999999999999999999E+6111 -6E+6110 -> -Infinity Overflow Inexact Rounded |
|
809 dqadd7993 add -9999999999999999999999999999999999E+6111 -5E+6110 -> -Infinity Overflow Inexact Rounded |
|
810 dqadd7994 add -9999999999999999999999999999999999E+6111 -4E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded |
|
811 dqadd7995 add -9999999999999999999999999999999999E+6111 -3E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded |
|
812 dqadd7996 add -9999999999999999999999999999999999E+6111 -2E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded |
|
813 dqadd7997 add -9999999999999999999999999999999999E+6111 -1E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded |
|
814 |
|
815 -- And for round down full and subnormal results |
|
816 rounding: down |
|
817 dqadd71100 add 1e+2 -1e-6143 -> 99.99999999999999999999999999999999 Rounded Inexact |
|
818 dqadd71101 add 1e+1 -1e-6143 -> 9.999999999999999999999999999999999 Rounded Inexact |
|
819 dqadd71103 add +1 -1e-6143 -> 0.9999999999999999999999999999999999 Rounded Inexact |
|
820 dqadd71104 add 1e-1 -1e-6143 -> 0.09999999999999999999999999999999999 Rounded Inexact |
|
821 dqadd71105 add 1e-2 -1e-6143 -> 0.009999999999999999999999999999999999 Rounded Inexact |
|
822 dqadd71106 add 1e-3 -1e-6143 -> 0.0009999999999999999999999999999999999 Rounded Inexact |
|
823 dqadd71107 add 1e-4 -1e-6143 -> 0.00009999999999999999999999999999999999 Rounded Inexact |
|
824 dqadd71108 add 1e-5 -1e-6143 -> 0.000009999999999999999999999999999999999 Rounded Inexact |
|
825 dqadd71109 add 1e-6 -1e-6143 -> 9.999999999999999999999999999999999E-7 Rounded Inexact |
|
826 |
|
827 rounding: ceiling |
|
828 dqadd71110 add -1e+2 +1e-6143 -> -99.99999999999999999999999999999999 Rounded Inexact |
|
829 dqadd71111 add -1e+1 +1e-6143 -> -9.999999999999999999999999999999999 Rounded Inexact |
|
830 dqadd71113 add -1 +1e-6143 -> -0.9999999999999999999999999999999999 Rounded Inexact |
|
831 dqadd71114 add -1e-1 +1e-6143 -> -0.09999999999999999999999999999999999 Rounded Inexact |
|
832 dqadd71115 add -1e-2 +1e-6143 -> -0.009999999999999999999999999999999999 Rounded Inexact |
|
833 dqadd71116 add -1e-3 +1e-6143 -> -0.0009999999999999999999999999999999999 Rounded Inexact |
|
834 dqadd71117 add -1e-4 +1e-6143 -> -0.00009999999999999999999999999999999999 Rounded Inexact |
|
835 dqadd71118 add -1e-5 +1e-6143 -> -0.000009999999999999999999999999999999999 Rounded Inexact |
|
836 dqadd71119 add -1e-6 +1e-6143 -> -9.999999999999999999999999999999999E-7 Rounded Inexact |
|
837 |
|
838 -- tests based on Gunnar Degnbol's edge case |
|
839 rounding: half_even |
|
840 |
|
841 dqadd71300 add 1E34 -0.5 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
842 dqadd71310 add 1E34 -0.51 -> 9999999999999999999999999999999999 Inexact Rounded |
|
843 dqadd71311 add 1E34 -0.501 -> 9999999999999999999999999999999999 Inexact Rounded |
|
844 dqadd71312 add 1E34 -0.5001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
845 dqadd71313 add 1E34 -0.50001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
846 dqadd71314 add 1E34 -0.500001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
847 dqadd71315 add 1E34 -0.5000001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
848 dqadd71316 add 1E34 -0.50000001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
849 dqadd71317 add 1E34 -0.500000001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
850 dqadd71318 add 1E34 -0.5000000001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
851 dqadd71319 add 1E34 -0.50000000001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
852 dqadd71320 add 1E34 -0.500000000001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
853 dqadd71321 add 1E34 -0.5000000000001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
854 dqadd71322 add 1E34 -0.50000000000001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
855 dqadd71323 add 1E34 -0.500000000000001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
856 dqadd71324 add 1E34 -0.5000000000000001 -> 9999999999999999999999999999999999 Inexact Rounded |
|
857 dqadd71325 add 1E34 -0.5000000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
858 dqadd71326 add 1E34 -0.500000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
859 dqadd71327 add 1E34 -0.50000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
860 dqadd71328 add 1E34 -0.5000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
861 dqadd71329 add 1E34 -0.500000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
862 dqadd71330 add 1E34 -0.50000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
863 dqadd71331 add 1E34 -0.5000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
864 dqadd71332 add 1E34 -0.500000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
865 dqadd71333 add 1E34 -0.50000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
866 dqadd71334 add 1E34 -0.5000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
867 dqadd71335 add 1E34 -0.500000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
868 dqadd71336 add 1E34 -0.50000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
869 dqadd71337 add 1E34 -0.5000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
870 dqadd71338 add 1E34 -0.500 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
871 dqadd71339 add 1E34 -0.50 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
872 |
|
873 dqadd71340 add 1E34 -5000000.000010001 -> 9999999999999999999999999995000000 Inexact Rounded |
|
874 dqadd71341 add 1E34 -5000000.000000001 -> 9999999999999999999999999995000000 Inexact Rounded |
|
875 |
|
876 dqadd71349 add 9999999999999999999999999999999999 0.4 -> 9999999999999999999999999999999999 Inexact Rounded |
|
877 dqadd71350 add 9999999999999999999999999999999999 0.49 -> 9999999999999999999999999999999999 Inexact Rounded |
|
878 dqadd71351 add 9999999999999999999999999999999999 0.499 -> 9999999999999999999999999999999999 Inexact Rounded |
|
879 dqadd71352 add 9999999999999999999999999999999999 0.4999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
880 dqadd71353 add 9999999999999999999999999999999999 0.49999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
881 dqadd71354 add 9999999999999999999999999999999999 0.499999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
882 dqadd71355 add 9999999999999999999999999999999999 0.4999999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
883 dqadd71356 add 9999999999999999999999999999999999 0.49999999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
884 dqadd71357 add 9999999999999999999999999999999999 0.499999999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
885 dqadd71358 add 9999999999999999999999999999999999 0.4999999999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
886 dqadd71359 add 9999999999999999999999999999999999 0.49999999999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
887 dqadd71360 add 9999999999999999999999999999999999 0.499999999999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
888 dqadd71361 add 9999999999999999999999999999999999 0.4999999999999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
889 dqadd71362 add 9999999999999999999999999999999999 0.49999999999999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
890 dqadd71363 add 9999999999999999999999999999999999 0.499999999999999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
891 dqadd71364 add 9999999999999999999999999999999999 0.4999999999999999 -> 9999999999999999999999999999999999 Inexact Rounded |
|
892 dqadd71365 add 9999999999999999999999999999999999 0.5000000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
893 dqadd71367 add 9999999999999999999999999999999999 0.500000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
894 dqadd71368 add 9999999999999999999999999999999999 0.50000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
895 dqadd71369 add 9999999999999999999999999999999999 0.5000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
896 dqadd71370 add 9999999999999999999999999999999999 0.500000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
897 dqadd71371 add 9999999999999999999999999999999999 0.50000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
898 dqadd71372 add 9999999999999999999999999999999999 0.5000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
899 dqadd71373 add 9999999999999999999999999999999999 0.500000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
900 dqadd71374 add 9999999999999999999999999999999999 0.50000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
901 dqadd71375 add 9999999999999999999999999999999999 0.5000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
902 dqadd71376 add 9999999999999999999999999999999999 0.500000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
903 dqadd71377 add 9999999999999999999999999999999999 0.50000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
904 dqadd71378 add 9999999999999999999999999999999999 0.5000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
905 dqadd71379 add 9999999999999999999999999999999999 0.500 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
906 dqadd71380 add 9999999999999999999999999999999999 0.50 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
907 dqadd71381 add 9999999999999999999999999999999999 0.5 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
908 dqadd71382 add 9999999999999999999999999999999999 0.5000000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
909 dqadd71383 add 9999999999999999999999999999999999 0.500000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
910 dqadd71384 add 9999999999999999999999999999999999 0.50000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
911 dqadd71385 add 9999999999999999999999999999999999 0.5000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
912 dqadd71386 add 9999999999999999999999999999999999 0.500000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
913 dqadd71387 add 9999999999999999999999999999999999 0.50000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
914 dqadd71388 add 9999999999999999999999999999999999 0.5000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
915 dqadd71389 add 9999999999999999999999999999999999 0.500000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
916 dqadd71390 add 9999999999999999999999999999999999 0.50000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
917 dqadd71391 add 9999999999999999999999999999999999 0.5000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
918 dqadd71392 add 9999999999999999999999999999999999 0.500001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
919 dqadd71393 add 9999999999999999999999999999999999 0.50001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
920 dqadd71394 add 9999999999999999999999999999999999 0.5001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
921 dqadd71395 add 9999999999999999999999999999999999 0.501 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
922 dqadd71396 add 9999999999999999999999999999999999 0.51 -> 1.000000000000000000000000000000000E+34 Inexact Rounded |
|
923 |
|
924 -- More GD edge cases, where difference between the unadjusted |
|
925 -- exponents is larger than the maximum precision and one side is 0 |
|
926 dqadd71420 add 0 1.123456789987654321123456789012345 -> 1.123456789987654321123456789012345 |
|
927 dqadd71421 add 0 1.123456789987654321123456789012345E-1 -> 0.1123456789987654321123456789012345 |
|
928 dqadd71422 add 0 1.123456789987654321123456789012345E-2 -> 0.01123456789987654321123456789012345 |
|
929 dqadd71423 add 0 1.123456789987654321123456789012345E-3 -> 0.001123456789987654321123456789012345 |
|
930 dqadd71424 add 0 1.123456789987654321123456789012345E-4 -> 0.0001123456789987654321123456789012345 |
|
931 dqadd71425 add 0 1.123456789987654321123456789012345E-5 -> 0.00001123456789987654321123456789012345 |
|
932 dqadd71426 add 0 1.123456789987654321123456789012345E-6 -> 0.000001123456789987654321123456789012345 |
|
933 dqadd71427 add 0 1.123456789987654321123456789012345E-7 -> 1.123456789987654321123456789012345E-7 |
|
934 dqadd71428 add 0 1.123456789987654321123456789012345E-8 -> 1.123456789987654321123456789012345E-8 |
|
935 dqadd71429 add 0 1.123456789987654321123456789012345E-9 -> 1.123456789987654321123456789012345E-9 |
|
936 dqadd71430 add 0 1.123456789987654321123456789012345E-10 -> 1.123456789987654321123456789012345E-10 |
|
937 dqadd71431 add 0 1.123456789987654321123456789012345E-11 -> 1.123456789987654321123456789012345E-11 |
|
938 dqadd71432 add 0 1.123456789987654321123456789012345E-12 -> 1.123456789987654321123456789012345E-12 |
|
939 dqadd71433 add 0 1.123456789987654321123456789012345E-13 -> 1.123456789987654321123456789012345E-13 |
|
940 dqadd71434 add 0 1.123456789987654321123456789012345E-14 -> 1.123456789987654321123456789012345E-14 |
|
941 dqadd71435 add 0 1.123456789987654321123456789012345E-15 -> 1.123456789987654321123456789012345E-15 |
|
942 dqadd71436 add 0 1.123456789987654321123456789012345E-16 -> 1.123456789987654321123456789012345E-16 |
|
943 dqadd71437 add 0 1.123456789987654321123456789012345E-17 -> 1.123456789987654321123456789012345E-17 |
|
944 dqadd71438 add 0 1.123456789987654321123456789012345E-18 -> 1.123456789987654321123456789012345E-18 |
|
945 dqadd71439 add 0 1.123456789987654321123456789012345E-19 -> 1.123456789987654321123456789012345E-19 |
|
946 dqadd71440 add 0 1.123456789987654321123456789012345E-20 -> 1.123456789987654321123456789012345E-20 |
|
947 dqadd71441 add 0 1.123456789987654321123456789012345E-21 -> 1.123456789987654321123456789012345E-21 |
|
948 dqadd71442 add 0 1.123456789987654321123456789012345E-22 -> 1.123456789987654321123456789012345E-22 |
|
949 dqadd71443 add 0 1.123456789987654321123456789012345E-23 -> 1.123456789987654321123456789012345E-23 |
|
950 dqadd71444 add 0 1.123456789987654321123456789012345E-24 -> 1.123456789987654321123456789012345E-24 |
|
951 dqadd71445 add 0 1.123456789987654321123456789012345E-25 -> 1.123456789987654321123456789012345E-25 |
|
952 dqadd71446 add 0 1.123456789987654321123456789012345E-26 -> 1.123456789987654321123456789012345E-26 |
|
953 dqadd71447 add 0 1.123456789987654321123456789012345E-27 -> 1.123456789987654321123456789012345E-27 |
|
954 dqadd71448 add 0 1.123456789987654321123456789012345E-28 -> 1.123456789987654321123456789012345E-28 |
|
955 dqadd71449 add 0 1.123456789987654321123456789012345E-29 -> 1.123456789987654321123456789012345E-29 |
|
956 dqadd71450 add 0 1.123456789987654321123456789012345E-30 -> 1.123456789987654321123456789012345E-30 |
|
957 dqadd71451 add 0 1.123456789987654321123456789012345E-31 -> 1.123456789987654321123456789012345E-31 |
|
958 dqadd71452 add 0 1.123456789987654321123456789012345E-32 -> 1.123456789987654321123456789012345E-32 |
|
959 dqadd71453 add 0 1.123456789987654321123456789012345E-33 -> 1.123456789987654321123456789012345E-33 |
|
960 dqadd71454 add 0 1.123456789987654321123456789012345E-34 -> 1.123456789987654321123456789012345E-34 |
|
961 dqadd71455 add 0 1.123456789987654321123456789012345E-35 -> 1.123456789987654321123456789012345E-35 |
|
962 dqadd71456 add 0 1.123456789987654321123456789012345E-36 -> 1.123456789987654321123456789012345E-36 |
|
963 |
|
964 -- same, reversed 0 |
|
965 dqadd71460 add 1.123456789987654321123456789012345 0 -> 1.123456789987654321123456789012345 |
|
966 dqadd71461 add 1.123456789987654321123456789012345E-1 0 -> 0.1123456789987654321123456789012345 |
|
967 dqadd71462 add 1.123456789987654321123456789012345E-2 0 -> 0.01123456789987654321123456789012345 |
|
968 dqadd71463 add 1.123456789987654321123456789012345E-3 0 -> 0.001123456789987654321123456789012345 |
|
969 dqadd71464 add 1.123456789987654321123456789012345E-4 0 -> 0.0001123456789987654321123456789012345 |
|
970 dqadd71465 add 1.123456789987654321123456789012345E-5 0 -> 0.00001123456789987654321123456789012345 |
|
971 dqadd71466 add 1.123456789987654321123456789012345E-6 0 -> 0.000001123456789987654321123456789012345 |
|
972 dqadd71467 add 1.123456789987654321123456789012345E-7 0 -> 1.123456789987654321123456789012345E-7 |
|
973 dqadd71468 add 1.123456789987654321123456789012345E-8 0 -> 1.123456789987654321123456789012345E-8 |
|
974 dqadd71469 add 1.123456789987654321123456789012345E-9 0 -> 1.123456789987654321123456789012345E-9 |
|
975 dqadd71470 add 1.123456789987654321123456789012345E-10 0 -> 1.123456789987654321123456789012345E-10 |
|
976 dqadd71471 add 1.123456789987654321123456789012345E-11 0 -> 1.123456789987654321123456789012345E-11 |
|
977 dqadd71472 add 1.123456789987654321123456789012345E-12 0 -> 1.123456789987654321123456789012345E-12 |
|
978 dqadd71473 add 1.123456789987654321123456789012345E-13 0 -> 1.123456789987654321123456789012345E-13 |
|
979 dqadd71474 add 1.123456789987654321123456789012345E-14 0 -> 1.123456789987654321123456789012345E-14 |
|
980 dqadd71475 add 1.123456789987654321123456789012345E-15 0 -> 1.123456789987654321123456789012345E-15 |
|
981 dqadd71476 add 1.123456789987654321123456789012345E-16 0 -> 1.123456789987654321123456789012345E-16 |
|
982 dqadd71477 add 1.123456789987654321123456789012345E-17 0 -> 1.123456789987654321123456789012345E-17 |
|
983 dqadd71478 add 1.123456789987654321123456789012345E-18 0 -> 1.123456789987654321123456789012345E-18 |
|
984 dqadd71479 add 1.123456789987654321123456789012345E-19 0 -> 1.123456789987654321123456789012345E-19 |
|
985 dqadd71480 add 1.123456789987654321123456789012345E-20 0 -> 1.123456789987654321123456789012345E-20 |
|
986 dqadd71481 add 1.123456789987654321123456789012345E-21 0 -> 1.123456789987654321123456789012345E-21 |
|
987 dqadd71482 add 1.123456789987654321123456789012345E-22 0 -> 1.123456789987654321123456789012345E-22 |
|
988 dqadd71483 add 1.123456789987654321123456789012345E-23 0 -> 1.123456789987654321123456789012345E-23 |
|
989 dqadd71484 add 1.123456789987654321123456789012345E-24 0 -> 1.123456789987654321123456789012345E-24 |
|
990 dqadd71485 add 1.123456789987654321123456789012345E-25 0 -> 1.123456789987654321123456789012345E-25 |
|
991 dqadd71486 add 1.123456789987654321123456789012345E-26 0 -> 1.123456789987654321123456789012345E-26 |
|
992 dqadd71487 add 1.123456789987654321123456789012345E-27 0 -> 1.123456789987654321123456789012345E-27 |
|
993 dqadd71488 add 1.123456789987654321123456789012345E-28 0 -> 1.123456789987654321123456789012345E-28 |
|
994 dqadd71489 add 1.123456789987654321123456789012345E-29 0 -> 1.123456789987654321123456789012345E-29 |
|
995 dqadd71490 add 1.123456789987654321123456789012345E-30 0 -> 1.123456789987654321123456789012345E-30 |
|
996 dqadd71491 add 1.123456789987654321123456789012345E-31 0 -> 1.123456789987654321123456789012345E-31 |
|
997 dqadd71492 add 1.123456789987654321123456789012345E-32 0 -> 1.123456789987654321123456789012345E-32 |
|
998 dqadd71493 add 1.123456789987654321123456789012345E-33 0 -> 1.123456789987654321123456789012345E-33 |
|
999 dqadd71494 add 1.123456789987654321123456789012345E-34 0 -> 1.123456789987654321123456789012345E-34 |
|
1000 dqadd71495 add 1.123456789987654321123456789012345E-35 0 -> 1.123456789987654321123456789012345E-35 |
|
1001 dqadd71496 add 1.123456789987654321123456789012345E-36 0 -> 1.123456789987654321123456789012345E-36 |
|
1002 |
|
1003 -- same, Es on the 0 |
|
1004 dqadd71500 add 1.123456789987654321123456789012345 0E-0 -> 1.123456789987654321123456789012345 |
|
1005 dqadd71501 add 1.123456789987654321123456789012345 0E-1 -> 1.123456789987654321123456789012345 |
|
1006 dqadd71502 add 1.123456789987654321123456789012345 0E-2 -> 1.123456789987654321123456789012345 |
|
1007 dqadd71503 add 1.123456789987654321123456789012345 0E-3 -> 1.123456789987654321123456789012345 |
|
1008 dqadd71504 add 1.123456789987654321123456789012345 0E-4 -> 1.123456789987654321123456789012345 |
|
1009 dqadd71505 add 1.123456789987654321123456789012345 0E-5 -> 1.123456789987654321123456789012345 |
|
1010 dqadd71506 add 1.123456789987654321123456789012345 0E-6 -> 1.123456789987654321123456789012345 |
|
1011 dqadd71507 add 1.123456789987654321123456789012345 0E-7 -> 1.123456789987654321123456789012345 |
|
1012 dqadd71508 add 1.123456789987654321123456789012345 0E-8 -> 1.123456789987654321123456789012345 |
|
1013 dqadd71509 add 1.123456789987654321123456789012345 0E-9 -> 1.123456789987654321123456789012345 |
|
1014 dqadd71510 add 1.123456789987654321123456789012345 0E-10 -> 1.123456789987654321123456789012345 |
|
1015 dqadd71511 add 1.123456789987654321123456789012345 0E-11 -> 1.123456789987654321123456789012345 |
|
1016 dqadd71512 add 1.123456789987654321123456789012345 0E-12 -> 1.123456789987654321123456789012345 |
|
1017 dqadd71513 add 1.123456789987654321123456789012345 0E-13 -> 1.123456789987654321123456789012345 |
|
1018 dqadd71514 add 1.123456789987654321123456789012345 0E-14 -> 1.123456789987654321123456789012345 |
|
1019 dqadd71515 add 1.123456789987654321123456789012345 0E-15 -> 1.123456789987654321123456789012345 |
|
1020 dqadd71516 add 1.123456789987654321123456789012345 0E-16 -> 1.123456789987654321123456789012345 |
|
1021 dqadd71517 add 1.123456789987654321123456789012345 0E-17 -> 1.123456789987654321123456789012345 |
|
1022 dqadd71518 add 1.123456789987654321123456789012345 0E-18 -> 1.123456789987654321123456789012345 |
|
1023 dqadd71519 add 1.123456789987654321123456789012345 0E-19 -> 1.123456789987654321123456789012345 |
|
1024 dqadd71520 add 1.123456789987654321123456789012345 0E-20 -> 1.123456789987654321123456789012345 |
|
1025 dqadd71521 add 1.123456789987654321123456789012345 0E-21 -> 1.123456789987654321123456789012345 |
|
1026 dqadd71522 add 1.123456789987654321123456789012345 0E-22 -> 1.123456789987654321123456789012345 |
|
1027 dqadd71523 add 1.123456789987654321123456789012345 0E-23 -> 1.123456789987654321123456789012345 |
|
1028 dqadd71524 add 1.123456789987654321123456789012345 0E-24 -> 1.123456789987654321123456789012345 |
|
1029 dqadd71525 add 1.123456789987654321123456789012345 0E-25 -> 1.123456789987654321123456789012345 |
|
1030 dqadd71526 add 1.123456789987654321123456789012345 0E-26 -> 1.123456789987654321123456789012345 |
|
1031 dqadd71527 add 1.123456789987654321123456789012345 0E-27 -> 1.123456789987654321123456789012345 |
|
1032 dqadd71528 add 1.123456789987654321123456789012345 0E-28 -> 1.123456789987654321123456789012345 |
|
1033 dqadd71529 add 1.123456789987654321123456789012345 0E-29 -> 1.123456789987654321123456789012345 |
|
1034 dqadd71530 add 1.123456789987654321123456789012345 0E-30 -> 1.123456789987654321123456789012345 |
|
1035 dqadd71531 add 1.123456789987654321123456789012345 0E-31 -> 1.123456789987654321123456789012345 |
|
1036 dqadd71532 add 1.123456789987654321123456789012345 0E-32 -> 1.123456789987654321123456789012345 |
|
1037 dqadd71533 add 1.123456789987654321123456789012345 0E-33 -> 1.123456789987654321123456789012345 |
|
1038 -- next four flag Rounded because the 0 extends the result |
|
1039 dqadd71534 add 1.123456789987654321123456789012345 0E-34 -> 1.123456789987654321123456789012345 Rounded |
|
1040 dqadd71535 add 1.123456789987654321123456789012345 0E-35 -> 1.123456789987654321123456789012345 Rounded |
|
1041 dqadd71536 add 1.123456789987654321123456789012345 0E-36 -> 1.123456789987654321123456789012345 Rounded |
|
1042 dqadd71537 add 1.123456789987654321123456789012345 0E-37 -> 1.123456789987654321123456789012345 Rounded |
|
1043 |
|
1044 -- sum of two opposite-sign operands is exactly 0 and floor => -0 |
|
1045 rounding: half_up |
|
1046 -- exact zeros from zeros |
|
1047 dqadd71600 add 0 0E-19 -> 0E-19 |
|
1048 dqadd71601 add -0 0E-19 -> 0E-19 |
|
1049 dqadd71602 add 0 -0E-19 -> 0E-19 |
|
1050 dqadd71603 add -0 -0E-19 -> -0E-19 |
|
1051 -- exact zeros from non-zeros |
|
1052 dqadd71611 add -11 11 -> 0 |
|
1053 dqadd71612 add 11 -11 -> 0 |
|
1054 |
|
1055 rounding: half_down |
|
1056 -- exact zeros from zeros |
|
1057 dqadd71620 add 0 0E-19 -> 0E-19 |
|
1058 dqadd71621 add -0 0E-19 -> 0E-19 |
|
1059 dqadd71622 add 0 -0E-19 -> 0E-19 |
|
1060 dqadd71623 add -0 -0E-19 -> -0E-19 |
|
1061 -- exact zeros from non-zeros |
|
1062 dqadd71631 add -11 11 -> 0 |
|
1063 dqadd71632 add 11 -11 -> 0 |
|
1064 |
|
1065 rounding: half_even |
|
1066 -- exact zeros from zeros |
|
1067 dqadd71640 add 0 0E-19 -> 0E-19 |
|
1068 dqadd71641 add -0 0E-19 -> 0E-19 |
|
1069 dqadd71642 add 0 -0E-19 -> 0E-19 |
|
1070 dqadd71643 add -0 -0E-19 -> -0E-19 |
|
1071 -- exact zeros from non-zeros |
|
1072 dqadd71651 add -11 11 -> 0 |
|
1073 dqadd71652 add 11 -11 -> 0 |
|
1074 |
|
1075 rounding: up |
|
1076 -- exact zeros from zeros |
|
1077 dqadd71660 add 0 0E-19 -> 0E-19 |
|
1078 dqadd71661 add -0 0E-19 -> 0E-19 |
|
1079 dqadd71662 add 0 -0E-19 -> 0E-19 |
|
1080 dqadd71663 add -0 -0E-19 -> -0E-19 |
|
1081 -- exact zeros from non-zeros |
|
1082 dqadd71671 add -11 11 -> 0 |
|
1083 dqadd71672 add 11 -11 -> 0 |
|
1084 |
|
1085 rounding: down |
|
1086 -- exact zeros from zeros |
|
1087 dqadd71680 add 0 0E-19 -> 0E-19 |
|
1088 dqadd71681 add -0 0E-19 -> 0E-19 |
|
1089 dqadd71682 add 0 -0E-19 -> 0E-19 |
|
1090 dqadd71683 add -0 -0E-19 -> -0E-19 |
|
1091 -- exact zeros from non-zeros |
|
1092 dqadd71691 add -11 11 -> 0 |
|
1093 dqadd71692 add 11 -11 -> 0 |
|
1094 |
|
1095 rounding: ceiling |
|
1096 -- exact zeros from zeros |
|
1097 dqadd71700 add 0 0E-19 -> 0E-19 |
|
1098 dqadd71701 add -0 0E-19 -> 0E-19 |
|
1099 dqadd71702 add 0 -0E-19 -> 0E-19 |
|
1100 dqadd71703 add -0 -0E-19 -> -0E-19 |
|
1101 -- exact zeros from non-zeros |
|
1102 dqadd71711 add -11 11 -> 0 |
|
1103 dqadd71712 add 11 -11 -> 0 |
|
1104 |
|
1105 -- and the extra-special ugly case; unusual minuses marked by -- * |
|
1106 rounding: floor |
|
1107 -- exact zeros from zeros |
|
1108 dqadd71720 add 0 0E-19 -> 0E-19 |
|
1109 dqadd71721 add -0 0E-19 -> -0E-19 -- * |
|
1110 dqadd71722 add 0 -0E-19 -> -0E-19 -- * |
|
1111 dqadd71723 add -0 -0E-19 -> -0E-19 |
|
1112 -- exact zeros from non-zeros |
|
1113 dqadd71731 add -11 11 -> -0 -- * |
|
1114 dqadd71732 add 11 -11 -> -0 -- * |
|
1115 |
|
1116 -- Examples from SQL proposal (Krishna Kulkarni) |
|
1117 dqadd71741 add 130E-2 120E-2 -> 2.50 |
|
1118 dqadd71742 add 130E-2 12E-1 -> 2.50 |
|
1119 dqadd71743 add 130E-2 1E0 -> 2.30 |
|
1120 dqadd71744 add 1E2 1E4 -> 1.01E+4 |
|
1121 dqadd71745 add 130E-2 -120E-2 -> 0.10 |
|
1122 dqadd71746 add 130E-2 -12E-1 -> 0.10 |
|
1123 dqadd71747 add 130E-2 -1E0 -> 0.30 |
|
1124 dqadd71748 add 1E2 -1E4 -> -9.9E+3 |
|
1125 |
|
1126 -- Gappy coefficients; check residue handling even with full coefficient gap |
|
1127 rounding: half_even |
|
1128 |
|
1129 dqadd75001 add 1239876543211234567894567890123456 1 -> 1239876543211234567894567890123457 |
|
1130 dqadd75002 add 1239876543211234567894567890123456 0.6 -> 1239876543211234567894567890123457 Inexact Rounded |
|
1131 dqadd75003 add 1239876543211234567894567890123456 0.06 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1132 dqadd75004 add 1239876543211234567894567890123456 6E-3 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1133 dqadd75005 add 1239876543211234567894567890123456 6E-4 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1134 dqadd75006 add 1239876543211234567894567890123456 6E-5 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1135 dqadd75007 add 1239876543211234567894567890123456 6E-6 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1136 dqadd75008 add 1239876543211234567894567890123456 6E-7 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1137 dqadd75009 add 1239876543211234567894567890123456 6E-8 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1138 dqadd75010 add 1239876543211234567894567890123456 6E-9 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1139 dqadd75011 add 1239876543211234567894567890123456 6E-10 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1140 dqadd75012 add 1239876543211234567894567890123456 6E-11 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1141 dqadd75013 add 1239876543211234567894567890123456 6E-12 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1142 dqadd75014 add 1239876543211234567894567890123456 6E-13 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1143 dqadd75015 add 1239876543211234567894567890123456 6E-14 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1144 dqadd75016 add 1239876543211234567894567890123456 6E-15 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1145 dqadd75017 add 1239876543211234567894567890123456 6E-16 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1146 dqadd75018 add 1239876543211234567894567890123456 6E-17 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1147 dqadd75019 add 1239876543211234567894567890123456 6E-18 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1148 dqadd75020 add 1239876543211234567894567890123456 6E-19 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1149 dqadd75021 add 1239876543211234567894567890123456 6E-20 -> 1239876543211234567894567890123456 Inexact Rounded |
|
1150 |
|
1151 -- widening second argument at gap |
|
1152 dqadd75030 add 12398765432112345678945678 1 -> 12398765432112345678945679 |
|
1153 dqadd75031 add 12398765432112345678945678 0.1 -> 12398765432112345678945678.1 |
|
1154 dqadd75032 add 12398765432112345678945678 0.12 -> 12398765432112345678945678.12 |
|
1155 dqadd75033 add 12398765432112345678945678 0.123 -> 12398765432112345678945678.123 |
|
1156 dqadd75034 add 12398765432112345678945678 0.1234 -> 12398765432112345678945678.1234 |
|
1157 dqadd75035 add 12398765432112345678945678 0.12345 -> 12398765432112345678945678.12345 |
|
1158 dqadd75036 add 12398765432112345678945678 0.123456 -> 12398765432112345678945678.123456 |
|
1159 dqadd75037 add 12398765432112345678945678 0.1234567 -> 12398765432112345678945678.1234567 |
|
1160 dqadd75038 add 12398765432112345678945678 0.12345678 -> 12398765432112345678945678.12345678 |
|
1161 dqadd75039 add 12398765432112345678945678 0.123456789 -> 12398765432112345678945678.12345679 Inexact Rounded |
|
1162 dqadd75040 add 12398765432112345678945678 0.123456785 -> 12398765432112345678945678.12345678 Inexact Rounded |
|
1163 dqadd75041 add 12398765432112345678945678 0.1234567850 -> 12398765432112345678945678.12345678 Inexact Rounded |
|
1164 dqadd75042 add 12398765432112345678945678 0.1234567851 -> 12398765432112345678945678.12345679 Inexact Rounded |
|
1165 dqadd75043 add 12398765432112345678945678 0.12345678501 -> 12398765432112345678945678.12345679 Inexact Rounded |
|
1166 dqadd75044 add 12398765432112345678945678 0.123456785001 -> 12398765432112345678945678.12345679 Inexact Rounded |
|
1167 dqadd75045 add 12398765432112345678945678 0.1234567850001 -> 12398765432112345678945678.12345679 Inexact Rounded |
|
1168 dqadd75046 add 12398765432112345678945678 0.12345678500001 -> 12398765432112345678945678.12345679 Inexact Rounded |
|
1169 dqadd75047 add 12398765432112345678945678 0.123456785000001 -> 12398765432112345678945678.12345679 Inexact Rounded |
|
1170 dqadd75048 add 12398765432112345678945678 0.1234567850000001 -> 12398765432112345678945678.12345679 Inexact Rounded |
|
1171 dqadd75049 add 12398765432112345678945678 0.1234567850000000 -> 12398765432112345678945678.12345678 Inexact Rounded |
|
1172 -- 90123456 |
|
1173 rounding: half_even |
|
1174 dqadd75050 add 12398765432112345678945678 0.0234567750000000 -> 12398765432112345678945678.02345678 Inexact Rounded |
|
1175 dqadd75051 add 12398765432112345678945678 0.0034567750000000 -> 12398765432112345678945678.00345678 Inexact Rounded |
|
1176 dqadd75052 add 12398765432112345678945678 0.0004567750000000 -> 12398765432112345678945678.00045678 Inexact Rounded |
|
1177 dqadd75053 add 12398765432112345678945678 0.0000567750000000 -> 12398765432112345678945678.00005678 Inexact Rounded |
|
1178 dqadd75054 add 12398765432112345678945678 0.0000067750000000 -> 12398765432112345678945678.00000678 Inexact Rounded |
|
1179 dqadd75055 add 12398765432112345678945678 0.0000007750000000 -> 12398765432112345678945678.00000078 Inexact Rounded |
|
1180 dqadd75056 add 12398765432112345678945678 0.0000000750000000 -> 12398765432112345678945678.00000008 Inexact Rounded |
|
1181 dqadd75057 add 12398765432112345678945678 0.0000000050000000 -> 12398765432112345678945678.00000000 Inexact Rounded |
|
1182 dqadd75060 add 12398765432112345678945678 0.0234567750000001 -> 12398765432112345678945678.02345678 Inexact Rounded |
|
1183 dqadd75061 add 12398765432112345678945678 0.0034567750000001 -> 12398765432112345678945678.00345678 Inexact Rounded |
|
1184 dqadd75062 add 12398765432112345678945678 0.0004567750000001 -> 12398765432112345678945678.00045678 Inexact Rounded |
|
1185 dqadd75063 add 12398765432112345678945678 0.0000567750000001 -> 12398765432112345678945678.00005678 Inexact Rounded |
|
1186 dqadd75064 add 12398765432112345678945678 0.0000067750000001 -> 12398765432112345678945678.00000678 Inexact Rounded |
|
1187 dqadd75065 add 12398765432112345678945678 0.0000007750000001 -> 12398765432112345678945678.00000078 Inexact Rounded |
|
1188 dqadd75066 add 12398765432112345678945678 0.0000000750000001 -> 12398765432112345678945678.00000008 Inexact Rounded |
|
1189 dqadd75067 add 12398765432112345678945678 0.0000000050000001 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1190 -- far-out residues (full coefficient gap is 16+15 digits) |
|
1191 rounding: up |
|
1192 dqadd75070 add 12398765432112345678945678 1E-8 -> 12398765432112345678945678.00000001 |
|
1193 dqadd75071 add 12398765432112345678945678 1E-9 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1194 dqadd75072 add 12398765432112345678945678 1E-10 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1195 dqadd75073 add 12398765432112345678945678 1E-11 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1196 dqadd75074 add 12398765432112345678945678 1E-12 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1197 dqadd75075 add 12398765432112345678945678 1E-13 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1198 dqadd75076 add 12398765432112345678945678 1E-14 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1199 dqadd75077 add 12398765432112345678945678 1E-15 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1200 dqadd75078 add 12398765432112345678945678 1E-16 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1201 dqadd75079 add 12398765432112345678945678 1E-17 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1202 dqadd75080 add 12398765432112345678945678 1E-18 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1203 dqadd75081 add 12398765432112345678945678 1E-19 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1204 dqadd75082 add 12398765432112345678945678 1E-20 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1205 dqadd75083 add 12398765432112345678945678 1E-25 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1206 dqadd75084 add 12398765432112345678945678 1E-30 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1207 dqadd75085 add 12398765432112345678945678 1E-31 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1208 dqadd75086 add 12398765432112345678945678 1E-32 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1209 dqadd75087 add 12398765432112345678945678 1E-33 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1210 dqadd75088 add 12398765432112345678945678 1E-34 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1211 dqadd75089 add 12398765432112345678945678 1E-35 -> 12398765432112345678945678.00000001 Inexact Rounded |
|
1212 |
|
1213 -- Null tests |
|
1214 dqadd9990 add 10 # -> NaN Invalid_operation |
|
1215 dqadd9991 add # 10 -> NaN Invalid_operation |