1 | ------/cancell----------------------------------------------------------
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2 | -- add.decTest -- decimal 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: 2.59
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21 |
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22 | precision: 9
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23 | rounding: half_up
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24 | maxExponent: 384
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25 | minexponent: -383
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26 | extended: 1
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27 |
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28 | -- [first group are 'quick confidence check']
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29 | addx001 add 1 1 -> 2
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30 | addx002 add 2 3 -> 5
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31 | addx003 add '5.75' '3.3' -> 9.05
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32 | addx004 add '5' '-3' -> 2
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33 | addx005 add '-5' '-3' -> -8
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34 | addx006 add '-7' '2.5' -> -4.5
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35 | addx007 add '0.7' '0.3' -> 1.0
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36 | addx008 add '1.25' '1.25' -> 2.50
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37 | addx009 add '1.23456789' '1.00000000' -> '2.23456789'
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38 | addx010 add '1.23456789' '1.00000011' -> '2.23456800'
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39 |
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40 | addx011 add '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded
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41 | addx012 add '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded
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42 | addx013 add '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded
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43 | addx014 add '0.44444444449' '0' -> '0.444444444' Inexact Rounded
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44 | addx015 add '0.444444444499' '0' -> '0.444444444' Inexact Rounded
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45 | addx016 add '0.4444444444999' '0' -> '0.444444444' Inexact Rounded
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46 | addx017 add '0.4444444445000' '0' -> '0.444444445' Inexact Rounded
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47 | addx018 add '0.4444444445001' '0' -> '0.444444445' Inexact Rounded
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48 | addx019 add '0.444444444501' '0' -> '0.444444445' Inexact Rounded
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49 | addx020 add '0.44444444451' '0' -> '0.444444445' Inexact Rounded
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50 |
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51 | addx021 add 0 1 -> 1
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52 | addx022 add 1 1 -> 2
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53 | addx023 add 2 1 -> 3
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54 | addx024 add 3 1 -> 4
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55 | addx025 add 4 1 -> 5
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56 | addx026 add 5 1 -> 6
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57 | addx027 add 6 1 -> 7
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58 | addx028 add 7 1 -> 8
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59 | addx029 add 8 1 -> 9
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60 | addx030 add 9 1 -> 10
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61 |
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62 | -- some carrying effects
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63 | addx031 add '0.9998' '0.0000' -> '0.9998'
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64 | addx032 add '0.9998' '0.0001' -> '0.9999'
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65 | addx033 add '0.9998' '0.0002' -> '1.0000'
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66 | addx034 add '0.9998' '0.0003' -> '1.0001'
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67 |
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68 | addx035 add '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded
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69 | addx036 add '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded
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70 | addx037 add '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded
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71 | addx038 add '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded
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72 | addx039 add '700000' '10000e+9' -> '1.00000007E+13' Rounded
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73 |
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74 | -- symmetry:
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75 | addx040 add '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded
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76 | addx041 add '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded
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77 | addx042 add '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded
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78 | addx044 add '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded
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79 | addx045 add '10000e+9' '700000' -> '1.00000007E+13' Rounded
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80 |
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81 | -- same, higher precision
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82 | precision: 15
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83 | addx046 add '10000e+9' '7' -> '10000000000007'
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84 | addx047 add '10000e+9' '70' -> '10000000000070'
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85 | addx048 add '10000e+9' '700' -> '10000000000700'
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86 | addx049 add '10000e+9' '7000' -> '10000000007000'
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87 | addx050 add '10000e+9' '70000' -> '10000000070000'
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88 | addx051 add '10000e+9' '700000' -> '10000000700000'
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89 | addx052 add '10000e+9' '7000000' -> '10000007000000'
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90 |
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91 | -- examples from decarith
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92 | addx053 add '12' '7.00' -> '19.00'
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93 | addx054 add '1.3' '-1.07' -> '0.23'
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94 | addx055 add '1.3' '-1.30' -> '0.00'
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95 | addx056 add '1.3' '-2.07' -> '-0.77'
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96 | addx057 add '1E+2' '1E+4' -> '1.01E+4'
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97 |
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98 | -- zero preservation
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99 | precision: 6
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100 | addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded
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101 | addx061 add 1 '0.0001' -> '1.0001'
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102 | addx062 add 1 '0.00001' -> '1.00001'
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103 | addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded
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104 | addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded
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105 | addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded
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106 |
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107 | -- some funny zeros [in case of bad signum]
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108 | addx070 add 1 0 -> 1
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109 | addx071 add 1 0. -> 1
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110 | addx072 add 1 .0 -> 1.0
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111 | addx073 add 1 0.0 -> 1.0
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112 | addx074 add 1 0.00 -> 1.00
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113 | addx075 add 0 1 -> 1
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114 | addx076 add 0. 1 -> 1
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115 | addx077 add .0 1 -> 1.0
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116 | addx078 add 0.0 1 -> 1.0
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117 | addx079 add 0.00 1 -> 1.00
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118 |
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119 | precision: 9
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120 |
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121 | -- some carries
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122 | addx080 add 999999998 1 -> 999999999
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123 | addx081 add 999999999 1 -> 1.00000000E+9 Rounded
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124 | addx082 add 99999999 1 -> 100000000
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125 | addx083 add 9999999 1 -> 10000000
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126 | addx084 add 999999 1 -> 1000000
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127 | addx085 add 99999 1 -> 100000
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128 | addx086 add 9999 1 -> 10000
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129 | addx087 add 999 1 -> 1000
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130 | addx088 add 99 1 -> 100
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131 | addx089 add 9 1 -> 10
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132 |
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133 |
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134 | -- more LHS swaps
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135 | addx090 add '-56267E-10' 0 -> '-0.0000056267'
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136 | addx091 add '-56267E-6' 0 -> '-0.056267'
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137 | addx092 add '-56267E-5' 0 -> '-0.56267'
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138 | addx093 add '-56267E-4' 0 -> '-5.6267'
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139 | addx094 add '-56267E-3' 0 -> '-56.267'
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140 | addx095 add '-56267E-2' 0 -> '-562.67'
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141 | addx096 add '-56267E-1' 0 -> '-5626.7'
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142 | addx097 add '-56267E-0' 0 -> '-56267'
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143 | addx098 add '-5E-10' 0 -> '-5E-10'
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144 | addx099 add '-5E-7' 0 -> '-5E-7'
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145 | addx100 add '-5E-6' 0 -> '-0.000005'
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146 | addx101 add '-5E-5' 0 -> '-0.00005'
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147 | addx102 add '-5E-4' 0 -> '-0.0005'
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148 | addx103 add '-5E-1' 0 -> '-0.5'
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149 | addx104 add '-5E0' 0 -> '-5'
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150 | addx105 add '-5E1' 0 -> '-50'
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151 | addx106 add '-5E5' 0 -> '-500000'
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152 | addx107 add '-5E8' 0 -> '-500000000'
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153 | addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded
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154 | addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded
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155 | addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded
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156 | addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded
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157 |
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158 | -- more RHS swaps
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159 | addx113 add 0 '-56267E-10' -> '-0.0000056267'
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160 | addx114 add 0 '-56267E-6' -> '-0.056267'
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161 | addx116 add 0 '-56267E-5' -> '-0.56267'
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162 | addx117 add 0 '-56267E-4' -> '-5.6267'
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163 | addx119 add 0 '-56267E-3' -> '-56.267'
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164 | addx120 add 0 '-56267E-2' -> '-562.67'
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165 | addx121 add 0 '-56267E-1' -> '-5626.7'
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166 | addx122 add 0 '-56267E-0' -> '-56267'
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167 | addx123 add 0 '-5E-10' -> '-5E-10'
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168 | addx124 add 0 '-5E-7' -> '-5E-7'
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169 | addx125 add 0 '-5E-6' -> '-0.000005'
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170 | addx126 add 0 '-5E-5' -> '-0.00005'
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171 | addx127 add 0 '-5E-4' -> '-0.0005'
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172 | addx128 add 0 '-5E-1' -> '-0.5'
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173 | addx129 add 0 '-5E0' -> '-5'
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174 | addx130 add 0 '-5E1' -> '-50'
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175 | addx131 add 0 '-5E5' -> '-500000'
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176 | addx132 add 0 '-5E8' -> '-500000000'
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177 | addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded
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178 | addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded
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179 | addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded
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180 | addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded
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181 |
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182 | -- related
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183 | addx137 add 1 '0E-12' -> '1.00000000' Rounded
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184 | addx138 add -1 '0E-12' -> '-1.00000000' Rounded
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185 | addx139 add '0E-12' 1 -> '1.00000000' Rounded
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186 | addx140 add '0E-12' -1 -> '-1.00000000' Rounded
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187 | addx141 add 1E+4 0.0000 -> '10000.0000'
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188 | addx142 add 1E+4 0.00000 -> '10000.0000' Rounded
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189 | addx143 add 0.000 1E+5 -> '100000.000'
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190 | addx144 add 0.0000 1E+5 -> '100000.000' Rounded
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191 |
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192 | -- [some of the next group are really constructor tests]
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193 | addx146 add '00.0' 0 -> '0.0'
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194 | addx147 add '0.00' 0 -> '0.00'
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195 | addx148 add 0 '0.00' -> '0.00'
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196 | addx149 add 0 '00.0' -> '0.0'
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197 | addx150 add '00.0' '0.00' -> '0.00'
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198 | addx151 add '0.00' '00.0' -> '0.00'
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199 | addx152 add '3' '.3' -> '3.3'
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200 | addx153 add '3.' '.3' -> '3.3'
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201 | addx154 add '3.0' '.3' -> '3.3'
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202 | addx155 add '3.00' '.3' -> '3.30'
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203 | addx156 add '3' '3' -> '6'
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204 | addx157 add '3' '+3' -> '6'
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205 | addx158 add '3' '-3' -> '0'
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206 | addx159 add '0.3' '-0.3' -> '0.0'
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207 | addx160 add '0.03' '-0.03' -> '0.00'
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208 |
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209 | -- try borderline precision, with carries, etc.
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210 | precision: 15
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211 | addx161 add '1E+12' '-1' -> '999999999999'
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212 | addx162 add '1E+12' '1.11' -> '1000000000001.11'
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213 | addx163 add '1.11' '1E+12' -> '1000000000001.11'
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214 | addx164 add '-1' '1E+12' -> '999999999999'
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215 | addx165 add '7E+12' '-1' -> '6999999999999'
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216 | addx166 add '7E+12' '1.11' -> '7000000000001.11'
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217 | addx167 add '1.11' '7E+12' -> '7000000000001.11'
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218 | addx168 add '-1' '7E+12' -> '6999999999999'
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219 |
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220 | -- 123456789012345 123456789012345 1 23456789012345
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221 | addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded
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222 | addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded
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223 | addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded
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224 | addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded
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225 | addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded
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226 | addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded
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227 | addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded
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228 | addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded
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229 | addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999'
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230 | addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998'
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231 | addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997'
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232 | addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996'
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233 | addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995'
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234 | addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994'
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235 |
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236 | -- and some more, including residue effects and different roundings
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237 | precision: 9
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238 | rounding: half_up
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239 | addx200 add '123456789' 0 -> '123456789'
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240 | addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
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241 | addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded
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242 | addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded
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243 | addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded
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244 | addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded
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245 | addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded
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246 | addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
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247 | addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded
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248 | addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
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249 | addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded
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250 | addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded
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251 | addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded
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252 | addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded
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253 | addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded
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254 | addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
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255 | addx216 add '123456789' 1 -> '123456790'
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256 | addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded
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257 | addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded
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258 | addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded
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259 |
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260 | rounding: half_even
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261 | addx220 add '123456789' 0 -> '123456789'
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262 | addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
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263 | addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded
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264 | addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded
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265 | addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded
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266 | addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded
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267 | addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded
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268 | addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
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269 | addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded
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270 | addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
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271 | addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded
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272 | addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded
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273 | addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded
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274 | addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded
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275 | addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded
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276 | addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
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277 | addx236 add '123456789' 1 -> '123456790'
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278 | addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
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279 | addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded
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280 | addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded
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281 | -- critical few with even bottom digit...
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282 | addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded
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283 | addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded
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284 | addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded
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285 |
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286 | rounding: down
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287 | addx250 add '123456789' 0 -> '123456789'
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288 | addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
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289 | addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded
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290 | addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded
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291 | addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded
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292 | addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded
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293 | addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded
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294 | addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
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295 | addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded
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296 | addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded
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297 | addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded
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298 | addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded
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299 | addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded
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300 | addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded
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301 | addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded
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302 | addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded
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303 | addx266 add '123456789' 1 -> '123456790'
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304 | addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
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305 | addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded
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306 | addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded
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307 |
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308 | -- input preparation tests (operands should not be rounded)
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309 | precision: 3
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310 | rounding: half_up
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311 |
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312 | addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded
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313 | addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded
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314 |
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315 | addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded
|
---|
316 | addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded
|
---|
317 | addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded
|
---|
318 | addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded
|
---|
319 | addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded
|
---|
320 | addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded
|
---|
321 | addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded
|
---|
322 |
|
---|
323 | addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
|
---|
324 | addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
|
---|
325 | addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
|
---|
326 | addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded
|
---|
327 | addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
|
---|
328 | addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
|
---|
329 | addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
|
---|
330 |
|
---|
331 | rounding: half_down
|
---|
332 | addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
|
---|
333 | addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
|
---|
334 | addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
|
---|
335 | addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded
|
---|
336 | addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
|
---|
337 | addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
|
---|
338 | addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
|
---|
339 |
|
---|
340 | -- 1 in last place tests
|
---|
341 | rounding: half_up
|
---|
342 | addx301 add -1 1 -> 0
|
---|
343 | addx302 add 0 1 -> 1
|
---|
344 | addx303 add 1 1 -> 2
|
---|
345 | addx304 add 12 1 -> 13
|
---|
346 | addx305 add 98 1 -> 99
|
---|
347 | addx306 add 99 1 -> 100
|
---|
348 | addx307 add 100 1 -> 101
|
---|
349 | addx308 add 101 1 -> 102
|
---|
350 | addx309 add -1 -1 -> -2
|
---|
351 | addx310 add 0 -1 -> -1
|
---|
352 | addx311 add 1 -1 -> 0
|
---|
353 | addx312 add 12 -1 -> 11
|
---|
354 | addx313 add 98 -1 -> 97
|
---|
355 | addx314 add 99 -1 -> 98
|
---|
356 | addx315 add 100 -1 -> 99
|
---|
357 | addx316 add 101 -1 -> 100
|
---|
358 |
|
---|
359 | addx321 add -0.01 0.01 -> 0.00
|
---|
360 | addx322 add 0.00 0.01 -> 0.01
|
---|
361 | addx323 add 0.01 0.01 -> 0.02
|
---|
362 | addx324 add 0.12 0.01 -> 0.13
|
---|
363 | addx325 add 0.98 0.01 -> 0.99
|
---|
364 | addx326 add 0.99 0.01 -> 1.00
|
---|
365 | addx327 add 1.00 0.01 -> 1.01
|
---|
366 | addx328 add 1.01 0.01 -> 1.02
|
---|
367 | addx329 add -0.01 -0.01 -> -0.02
|
---|
368 | addx330 add 0.00 -0.01 -> -0.01
|
---|
369 | addx331 add 0.01 -0.01 -> 0.00
|
---|
370 | addx332 add 0.12 -0.01 -> 0.11
|
---|
371 | addx333 add 0.98 -0.01 -> 0.97
|
---|
372 | addx334 add 0.99 -0.01 -> 0.98
|
---|
373 | addx335 add 1.00 -0.01 -> 0.99
|
---|
374 | addx336 add 1.01 -0.01 -> 1.00
|
---|
375 |
|
---|
376 | -- some more cases where adding 0 affects the coefficient
|
---|
377 | precision: 9
|
---|
378 | addx340 add 1E+3 0 -> 1000
|
---|
379 | addx341 add 1E+8 0 -> 100000000
|
---|
380 | addx342 add 1E+9 0 -> 1.00000000E+9 Rounded
|
---|
381 | addx343 add 1E+10 0 -> 1.00000000E+10 Rounded
|
---|
382 | -- which simply follow from these cases ...
|
---|
383 | addx344 add 1E+3 1 -> 1001
|
---|
384 | addx345 add 1E+8 1 -> 100000001
|
---|
385 | addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded
|
---|
386 | addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded
|
---|
387 | addx348 add 1E+3 7 -> 1007
|
---|
388 | addx349 add 1E+8 7 -> 100000007
|
---|
389 | addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded
|
---|
390 | addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded
|
---|
391 |
|
---|
392 | -- tryzeros cases
|
---|
393 | precision: 7
|
---|
394 | rounding: half_up
|
---|
395 | maxExponent: 92
|
---|
396 | minexponent: -92
|
---|
397 | addx361 add 0E+50 10000E+1 -> 1.0000E+5
|
---|
398 | addx362 add 10000E+1 0E-50 -> 100000.0 Rounded
|
---|
399 | addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact
|
---|
400 | addx364 add 9.999999E+92 -9.999999E+92 -> 0E+86
|
---|
401 |
|
---|
402 | -- a curiosity from JSR 13 testing
|
---|
403 | rounding: half_down
|
---|
404 | precision: 10
|
---|
405 | addx370 add 99999999 81512 -> 100081511
|
---|
406 | precision: 6
|
---|
407 | addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
|
---|
408 | rounding: half_up
|
---|
409 | precision: 10
|
---|
410 | addx372 add 99999999 81512 -> 100081511
|
---|
411 | precision: 6
|
---|
412 | addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
|
---|
413 | rounding: half_even
|
---|
414 | precision: 10
|
---|
415 | addx374 add 99999999 81512 -> 100081511
|
---|
416 | precision: 6
|
---|
417 | addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
|
---|
418 |
|
---|
419 | -- ulp replacement tests
|
---|
420 | precision: 9
|
---|
421 | maxexponent: 999999999
|
---|
422 | minexponent: -999999999
|
---|
423 | addx400 add 1 77e-7 -> 1.0000077
|
---|
424 | addx401 add 1 77e-8 -> 1.00000077
|
---|
425 | addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded
|
---|
426 | addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded
|
---|
427 | addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded
|
---|
428 | addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded
|
---|
429 | addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded
|
---|
430 | addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded
|
---|
431 |
|
---|
432 | addx410 add 10 77e-7 -> 10.0000077
|
---|
433 | addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded
|
---|
434 | addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded
|
---|
435 | addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded
|
---|
436 | addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded
|
---|
437 | addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded
|
---|
438 | addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded
|
---|
439 | addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded
|
---|
440 |
|
---|
441 | addx420 add 77e-7 1 -> 1.0000077
|
---|
442 | addx421 add 77e-8 1 -> 1.00000077
|
---|
443 | addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded
|
---|
444 | addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded
|
---|
445 | addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded
|
---|
446 | addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded
|
---|
447 | addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded
|
---|
448 | addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded
|
---|
449 |
|
---|
450 | addx430 add 77e-7 10 -> 10.0000077
|
---|
451 | addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded
|
---|
452 | addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded
|
---|
453 | addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded
|
---|
454 | addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded
|
---|
455 | addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded
|
---|
456 | addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded
|
---|
457 | addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded
|
---|
458 |
|
---|
459 | -- negative ulps
|
---|
460 | addx440 add 1 -77e-7 -> 0.9999923
|
---|
461 | addx441 add 1 -77e-8 -> 0.99999923
|
---|
462 | addx442 add 1 -77e-9 -> 0.999999923
|
---|
463 | addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded
|
---|
464 | addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded
|
---|
465 | addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded
|
---|
466 | addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded
|
---|
467 | addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded
|
---|
468 |
|
---|
469 | addx450 add 10 -77e-7 -> 9.9999923
|
---|
470 | addx451 add 10 -77e-8 -> 9.99999923
|
---|
471 | addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded
|
---|
472 | addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded
|
---|
473 | addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded
|
---|
474 | addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded
|
---|
475 | addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded
|
---|
476 | addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded
|
---|
477 |
|
---|
478 | addx460 add -77e-7 1 -> 0.9999923
|
---|
479 | addx461 add -77e-8 1 -> 0.99999923
|
---|
480 | addx462 add -77e-9 1 -> 0.999999923
|
---|
481 | addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded
|
---|
482 | addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded
|
---|
483 | addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded
|
---|
484 | addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded
|
---|
485 | addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded
|
---|
486 |
|
---|
487 | addx470 add -77e-7 10 -> 9.9999923
|
---|
488 | addx471 add -77e-8 10 -> 9.99999923
|
---|
489 | addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded
|
---|
490 | addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded
|
---|
491 | addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded
|
---|
492 | addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded
|
---|
493 | addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded
|
---|
494 | addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded
|
---|
495 |
|
---|
496 | -- negative ulps
|
---|
497 | addx480 add -1 77e-7 -> -0.9999923
|
---|
498 | addx481 add -1 77e-8 -> -0.99999923
|
---|
499 | addx482 add -1 77e-9 -> -0.999999923
|
---|
500 | addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded
|
---|
501 | addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded
|
---|
502 | addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded
|
---|
503 | addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded
|
---|
504 | addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded
|
---|
505 |
|
---|
506 | addx490 add -10 77e-7 -> -9.9999923
|
---|
507 | addx491 add -10 77e-8 -> -9.99999923
|
---|
508 | addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded
|
---|
509 | addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded
|
---|
510 | addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded
|
---|
511 | addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded
|
---|
512 | addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded
|
---|
513 | addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded
|
---|
514 |
|
---|
515 | addx500 add 77e-7 -1 -> -0.9999923
|
---|
516 | addx501 add 77e-8 -1 -> -0.99999923
|
---|
517 | addx502 add 77e-9 -1 -> -0.999999923
|
---|
518 | addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded
|
---|
519 | addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded
|
---|
520 | addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded
|
---|
521 | addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded
|
---|
522 | addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded
|
---|
523 |
|
---|
524 | addx510 add 77e-7 -10 -> -9.9999923
|
---|
525 | addx511 add 77e-8 -10 -> -9.99999923
|
---|
526 | addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded
|
---|
527 | addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded
|
---|
528 | addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded
|
---|
529 | addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded
|
---|
530 | addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded
|
---|
531 | addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded
|
---|
532 |
|
---|
533 |
|
---|
534 | -- long operands
|
---|
535 | maxexponent: 999
|
---|
536 | minexponent: -999
|
---|
537 | precision: 9
|
---|
538 | addx521 add 12345678000 0 -> 1.23456780E+10 Rounded
|
---|
539 | addx522 add 0 12345678000 -> 1.23456780E+10 Rounded
|
---|
540 | addx523 add 1234567800 0 -> 1.23456780E+9 Rounded
|
---|
541 | addx524 add 0 1234567800 -> 1.23456780E+9 Rounded
|
---|
542 | addx525 add 1234567890 0 -> 1.23456789E+9 Rounded
|
---|
543 | addx526 add 0 1234567890 -> 1.23456789E+9 Rounded
|
---|
544 | addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded
|
---|
545 | addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded
|
---|
546 | addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded
|
---|
547 | addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded
|
---|
548 | addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded
|
---|
549 | addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded
|
---|
550 |
|
---|
551 | precision: 15
|
---|
552 | -- still checking
|
---|
553 | addx541 add 12345678000 0 -> 12345678000
|
---|
554 | addx542 add 0 12345678000 -> 12345678000
|
---|
555 | addx543 add 1234567800 0 -> 1234567800
|
---|
556 | addx544 add 0 1234567800 -> 1234567800
|
---|
557 | addx545 add 1234567890 0 -> 1234567890
|
---|
558 | addx546 add 0 1234567890 -> 1234567890
|
---|
559 | addx547 add 1234567891 0 -> 1234567891
|
---|
560 | addx548 add 0 1234567891 -> 1234567891
|
---|
561 | addx549 add 12345678901 0 -> 12345678901
|
---|
562 | addx550 add 0 12345678901 -> 12345678901
|
---|
563 | addx551 add 1234567896 0 -> 1234567896
|
---|
564 | addx552 add 0 1234567896 -> 1234567896
|
---|
565 |
|
---|
566 | -- verify a query
|
---|
567 | precision: 16
|
---|
568 | maxExponent: +394
|
---|
569 | minExponent: -393
|
---|
570 | rounding: down
|
---|
571 | addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
|
---|
572 | addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
|
---|
573 | -- and using decimal64 bounds (see also ddadd.decTest)
|
---|
574 | precision: 16
|
---|
575 | maxExponent: +384
|
---|
576 | minExponent: -383
|
---|
577 | rounding: down
|
---|
578 | addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
|
---|
579 | addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
|
---|
580 |
|
---|
581 |
|
---|
582 | -- some more residue effects with extreme rounding
|
---|
583 | precision: 9
|
---|
584 | rounding: half_up
|
---|
585 | addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded
|
---|
586 | rounding: half_even
|
---|
587 | addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded
|
---|
588 | rounding: half_down
|
---|
589 | addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded
|
---|
590 | rounding: floor
|
---|
591 | addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded
|
---|
592 | rounding: ceiling
|
---|
593 | addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded
|
---|
594 | rounding: up
|
---|
595 | addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded
|
---|
596 | rounding: down
|
---|
597 | addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded
|
---|
598 |
|
---|
599 | rounding: half_up
|
---|
600 | addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded
|
---|
601 | rounding: half_even
|
---|
602 | addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded
|
---|
603 | rounding: half_down
|
---|
604 | addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded
|
---|
605 | rounding: floor
|
---|
606 | addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded
|
---|
607 | rounding: ceiling
|
---|
608 | addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded
|
---|
609 | rounding: up
|
---|
610 | addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded
|
---|
611 | rounding: down
|
---|
612 | addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded
|
---|
613 |
|
---|
614 | rounding: half_up
|
---|
615 | addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded
|
---|
616 | rounding: half_even
|
---|
617 | addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded
|
---|
618 | rounding: half_down
|
---|
619 | addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded
|
---|
620 | rounding: floor
|
---|
621 | addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded
|
---|
622 | rounding: ceiling
|
---|
623 | addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded
|
---|
624 | rounding: up
|
---|
625 | addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded
|
---|
626 | rounding: down
|
---|
627 | addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded
|
---|
628 |
|
---|
629 | rounding: half_up
|
---|
630 | addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded
|
---|
631 | rounding: half_even
|
---|
632 | addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded
|
---|
633 | rounding: half_down
|
---|
634 | addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded
|
---|
635 | rounding: floor
|
---|
636 | addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded
|
---|
637 | rounding: ceiling
|
---|
638 | addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded
|
---|
639 | rounding: up
|
---|
640 | addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded
|
---|
641 | rounding: down
|
---|
642 | addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded
|
---|
643 |
|
---|
644 | rounding: half_up
|
---|
645 | addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded
|
---|
646 | rounding: half_even
|
---|
647 | addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded
|
---|
648 | rounding: half_down
|
---|
649 | addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded
|
---|
650 | rounding: floor
|
---|
651 | addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded
|
---|
652 | rounding: ceiling
|
---|
653 | addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded
|
---|
654 | rounding: up
|
---|
655 | addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded
|
---|
656 | rounding: down
|
---|
657 | addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded
|
---|
658 |
|
---|
659 | rounding: half_up
|
---|
660 | addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded
|
---|
661 | rounding: half_even
|
---|
662 | addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded
|
---|
663 | rounding: half_down
|
---|
664 | addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded
|
---|
665 | rounding: floor
|
---|
666 | addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded
|
---|
667 | rounding: ceiling
|
---|
668 | addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded
|
---|
669 | rounding: up
|
---|
670 | addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded
|
---|
671 | rounding: down
|
---|
672 | addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded
|
---|
673 |
|
---|
674 | -- long operand triangle
|
---|
675 | rounding: half_up
|
---|
676 | precision: 37
|
---|
677 | addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538
|
---|
678 | precision: 36
|
---|
679 | addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded
|
---|
680 | precision: 35
|
---|
681 | addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded
|
---|
682 | precision: 34
|
---|
683 | addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded
|
---|
684 | precision: 33
|
---|
685 | addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded
|
---|
686 | precision: 32
|
---|
687 | addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded
|
---|
688 | precision: 31
|
---|
689 | addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded
|
---|
690 | precision: 30
|
---|
691 | addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded
|
---|
692 | precision: 29
|
---|
693 | addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded
|
---|
694 | precision: 28
|
---|
695 | addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded
|
---|
696 | precision: 27
|
---|
697 | addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded
|
---|
698 | precision: 26
|
---|
699 | addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded
|
---|
700 | precision: 25
|
---|
701 | addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded
|
---|
702 | precision: 24
|
---|
703 | addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded
|
---|
704 | precision: 23
|
---|
705 | addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded
|
---|
706 | precision: 22
|
---|
707 | addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded
|
---|
708 | precision: 21
|
---|
709 | addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded
|
---|
710 | precision: 20
|
---|
711 | addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded
|
---|
712 | precision: 19
|
---|
713 | addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded
|
---|
714 | precision: 18
|
---|
715 | addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded
|
---|
716 | precision: 17
|
---|
717 | addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded
|
---|
718 | precision: 16
|
---|
719 | addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded
|
---|
720 | precision: 15
|
---|
721 | addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded
|
---|
722 | precision: 14
|
---|
723 | addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded
|
---|
724 | precision: 13
|
---|
725 | addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded
|
---|
726 | precision: 12
|
---|
727 | addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded
|
---|
728 | precision: 11
|
---|
729 | addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded
|
---|
730 | precision: 10
|
---|
731 | addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded
|
---|
732 | precision: 9
|
---|
733 | addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded
|
---|
734 | precision: 8
|
---|
735 | addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded
|
---|
736 | precision: 7
|
---|
737 | addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded
|
---|
738 | precision: 6
|
---|
739 | addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded
|
---|
740 | precision: 5
|
---|
741 | addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded
|
---|
742 | precision: 4
|
---|
743 | addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded
|
---|
744 | precision: 3
|
---|
745 | addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded
|
---|
746 | precision: 2
|
---|
747 | addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded
|
---|
748 | precision: 1
|
---|
749 | addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded
|
---|
750 |
|
---|
751 | -- more zeros, etc.
|
---|
752 | rounding: half_up
|
---|
753 | precision: 9
|
---|
754 |
|
---|
755 | addx701 add 5.00 1.00E-3 -> 5.00100
|
---|
756 | addx702 add 00.00 0.000 -> 0.000
|
---|
757 | addx703 add 00.00 0E-3 -> 0.000
|
---|
758 | addx704 add 0E-3 00.00 -> 0.000
|
---|
759 |
|
---|
760 | addx710 add 0E+3 00.00 -> 0.00
|
---|
761 | addx711 add 0E+3 00.0 -> 0.0
|
---|
762 | addx712 add 0E+3 00. -> 0
|
---|
763 | addx713 add 0E+3 00.E+1 -> 0E+1
|
---|
764 | addx714 add 0E+3 00.E+2 -> 0E+2
|
---|
765 | addx715 add 0E+3 00.E+3 -> 0E+3
|
---|
766 | addx716 add 0E+3 00.E+4 -> 0E+3
|
---|
767 | addx717 add 0E+3 00.E+5 -> 0E+3
|
---|
768 | addx718 add 0E+3 -00.0 -> 0.0
|
---|
769 | addx719 add 0E+3 -00. -> 0
|
---|
770 | addx731 add 0E+3 -00.E+1 -> 0E+1
|
---|
771 |
|
---|
772 | addx720 add 00.00 0E+3 -> 0.00
|
---|
773 | addx721 add 00.0 0E+3 -> 0.0
|
---|
774 | addx722 add 00. 0E+3 -> 0
|
---|
775 | addx723 add 00.E+1 0E+3 -> 0E+1
|
---|
776 | addx724 add 00.E+2 0E+3 -> 0E+2
|
---|
777 | addx725 add 00.E+3 0E+3 -> 0E+3
|
---|
778 | addx726 add 00.E+4 0E+3 -> 0E+3
|
---|
779 | addx727 add 00.E+5 0E+3 -> 0E+3
|
---|
780 | addx728 add -00.00 0E+3 -> 0.00
|
---|
781 | addx729 add -00.0 0E+3 -> 0.0
|
---|
782 | addx730 add -00. 0E+3 -> 0
|
---|
783 |
|
---|
784 | addx732 add 0 0 -> 0
|
---|
785 | addx733 add 0 -0 -> 0
|
---|
786 | addx734 add -0 0 -> 0
|
---|
787 | addx735 add -0 -0 -> -0 -- IEEE 854 special case
|
---|
788 |
|
---|
789 | addx736 add 1 -1 -> 0
|
---|
790 | addx737 add -1 -1 -> -2
|
---|
791 | addx738 add 1 1 -> 2
|
---|
792 | addx739 add -1 1 -> 0
|
---|
793 |
|
---|
794 | addx741 add 0 -1 -> -1
|
---|
795 | addx742 add -0 -1 -> -1
|
---|
796 | addx743 add 0 1 -> 1
|
---|
797 | addx744 add -0 1 -> 1
|
---|
798 | addx745 add -1 0 -> -1
|
---|
799 | addx746 add -1 -0 -> -1
|
---|
800 | addx747 add 1 0 -> 1
|
---|
801 | addx748 add 1 -0 -> 1
|
---|
802 |
|
---|
803 | addx751 add 0.0 -1 -> -1.0
|
---|
804 | addx752 add -0.0 -1 -> -1.0
|
---|
805 | addx753 add 0.0 1 -> 1.0
|
---|
806 | addx754 add -0.0 1 -> 1.0
|
---|
807 | addx755 add -1.0 0 -> -1.0
|
---|
808 | addx756 add -1.0 -0 -> -1.0
|
---|
809 | addx757 add 1.0 0 -> 1.0
|
---|
810 | addx758 add 1.0 -0 -> 1.0
|
---|
811 |
|
---|
812 | addx761 add 0 -1.0 -> -1.0
|
---|
813 | addx762 add -0 -1.0 -> -1.0
|
---|
814 | addx763 add 0 1.0 -> 1.0
|
---|
815 | addx764 add -0 1.0 -> 1.0
|
---|
816 | addx765 add -1 0.0 -> -1.0
|
---|
817 | addx766 add -1 -0.0 -> -1.0
|
---|
818 | addx767 add 1 0.0 -> 1.0
|
---|
819 | addx768 add 1 -0.0 -> 1.0
|
---|
820 |
|
---|
821 | addx771 add 0.0 -1.0 -> -1.0
|
---|
822 | addx772 add -0.0 -1.0 -> -1.0
|
---|
823 | addx773 add 0.0 1.0 -> 1.0
|
---|
824 | addx774 add -0.0 1.0 -> 1.0
|
---|
825 | addx775 add -1.0 0.0 -> -1.0
|
---|
826 | addx776 add -1.0 -0.0 -> -1.0
|
---|
827 | addx777 add 1.0 0.0 -> 1.0
|
---|
828 | addx778 add 1.0 -0.0 -> 1.0
|
---|
829 |
|
---|
830 | -- Specials
|
---|
831 | addx780 add -Inf -Inf -> -Infinity
|
---|
832 | addx781 add -Inf -1000 -> -Infinity
|
---|
833 | addx782 add -Inf -1 -> -Infinity
|
---|
834 | addx783 add -Inf -0 -> -Infinity
|
---|
835 | addx784 add -Inf 0 -> -Infinity
|
---|
836 | addx785 add -Inf 1 -> -Infinity
|
---|
837 | addx786 add -Inf 1000 -> -Infinity
|
---|
838 | addx787 add -1000 -Inf -> -Infinity
|
---|
839 | addx788 add -Inf -Inf -> -Infinity
|
---|
840 | addx789 add -1 -Inf -> -Infinity
|
---|
841 | addx790 add -0 -Inf -> -Infinity
|
---|
842 | addx791 add 0 -Inf -> -Infinity
|
---|
843 | addx792 add 1 -Inf -> -Infinity
|
---|
844 | addx793 add 1000 -Inf -> -Infinity
|
---|
845 | addx794 add Inf -Inf -> NaN Invalid_operation
|
---|
846 |
|
---|
847 | addx800 add Inf -Inf -> NaN Invalid_operation
|
---|
848 | addx801 add Inf -1000 -> Infinity
|
---|
849 | addx802 add Inf -1 -> Infinity
|
---|
850 | addx803 add Inf -0 -> Infinity
|
---|
851 | addx804 add Inf 0 -> Infinity
|
---|
852 | addx805 add Inf 1 -> Infinity
|
---|
853 | addx806 add Inf 1000 -> Infinity
|
---|
854 | addx807 add Inf Inf -> Infinity
|
---|
855 | addx808 add -1000 Inf -> Infinity
|
---|
856 | addx809 add -Inf Inf -> NaN Invalid_operation
|
---|
857 | addx810 add -1 Inf -> Infinity
|
---|
858 | addx811 add -0 Inf -> Infinity
|
---|
859 | addx812 add 0 Inf -> Infinity
|
---|
860 | addx813 add 1 Inf -> Infinity
|
---|
861 | addx814 add 1000 Inf -> Infinity
|
---|
862 | addx815 add Inf Inf -> Infinity
|
---|
863 |
|
---|
864 | addx821 add NaN -Inf -> NaN
|
---|
865 | addx822 add NaN -1000 -> NaN
|
---|
866 | addx823 add NaN -1 -> NaN
|
---|
867 | addx824 add NaN -0 -> NaN
|
---|
868 | addx825 add NaN 0 -> NaN
|
---|
869 | addx826 add NaN 1 -> NaN
|
---|
870 | addx827 add NaN 1000 -> NaN
|
---|
871 | addx828 add NaN Inf -> NaN
|
---|
872 | addx829 add NaN NaN -> NaN
|
---|
873 | addx830 add -Inf NaN -> NaN
|
---|
874 | addx831 add -1000 NaN -> NaN
|
---|
875 | addx832 add -1 NaN -> NaN
|
---|
876 | addx833 add -0 NaN -> NaN
|
---|
877 | addx834 add 0 NaN -> NaN
|
---|
878 | addx835 add 1 NaN -> NaN
|
---|
879 | addx836 add 1000 NaN -> NaN
|
---|
880 | addx837 add Inf NaN -> NaN
|
---|
881 |
|
---|
882 | addx841 add sNaN -Inf -> NaN Invalid_operation
|
---|
883 | addx842 add sNaN -1000 -> NaN Invalid_operation
|
---|
884 | addx843 add sNaN -1 -> NaN Invalid_operation
|
---|
885 | addx844 add sNaN -0 -> NaN Invalid_operation
|
---|
886 | addx845 add sNaN 0 -> NaN Invalid_operation
|
---|
887 | addx846 add sNaN 1 -> NaN Invalid_operation
|
---|
888 | addx847 add sNaN 1000 -> NaN Invalid_operation
|
---|
889 | addx848 add sNaN NaN -> NaN Invalid_operation
|
---|
890 | addx849 add sNaN sNaN -> NaN Invalid_operation
|
---|
891 | addx850 add NaN sNaN -> NaN Invalid_operation
|
---|
892 | addx851 add -Inf sNaN -> NaN Invalid_operation
|
---|
893 | addx852 add -1000 sNaN -> NaN Invalid_operation
|
---|
894 | addx853 add -1 sNaN -> NaN Invalid_operation
|
---|
895 | addx854 add -0 sNaN -> NaN Invalid_operation
|
---|
896 | addx855 add 0 sNaN -> NaN Invalid_operation
|
---|
897 | addx856 add 1 sNaN -> NaN Invalid_operation
|
---|
898 | addx857 add 1000 sNaN -> NaN Invalid_operation
|
---|
899 | addx858 add Inf sNaN -> NaN Invalid_operation
|
---|
900 | addx859 add NaN sNaN -> NaN Invalid_operation
|
---|
901 |
|
---|
902 | -- propagating NaNs
|
---|
903 | addx861 add NaN1 -Inf -> NaN1
|
---|
904 | addx862 add +NaN2 -1000 -> NaN2
|
---|
905 | addx863 add NaN3 1000 -> NaN3
|
---|
906 | addx864 add NaN4 Inf -> NaN4
|
---|
907 | addx865 add NaN5 +NaN6 -> NaN5
|
---|
908 | addx866 add -Inf NaN7 -> NaN7
|
---|
909 | addx867 add -1000 NaN8 -> NaN8
|
---|
910 | addx868 add 1000 NaN9 -> NaN9
|
---|
911 | addx869 add Inf +NaN10 -> NaN10
|
---|
912 | addx871 add sNaN11 -Inf -> NaN11 Invalid_operation
|
---|
913 | addx872 add sNaN12 -1000 -> NaN12 Invalid_operation
|
---|
914 | addx873 add sNaN13 1000 -> NaN13 Invalid_operation
|
---|
915 | addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation
|
---|
916 | addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
|
---|
917 | addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation
|
---|
918 | addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation
|
---|
919 | addx878 add -1000 sNaN21 -> NaN21 Invalid_operation
|
---|
920 | addx879 add 1000 sNaN22 -> NaN22 Invalid_operation
|
---|
921 | addx880 add Inf sNaN23 -> NaN23 Invalid_operation
|
---|
922 | addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
|
---|
923 | addx882 add -NaN26 NaN28 -> -NaN26
|
---|
924 | addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
|
---|
925 | addx884 add 1000 -NaN30 -> -NaN30
|
---|
926 | addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
|
---|
927 |
|
---|
928 | -- overflow, underflow and subnormal tests
|
---|
929 | maxexponent: 999999999
|
---|
930 | minexponent: -999999999
|
---|
931 | precision: 9
|
---|
932 | addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded
|
---|
933 | addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded
|
---|
934 | addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal
|
---|
935 | addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal
|
---|
936 | addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal
|
---|
937 | addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal
|
---|
938 | addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded
|
---|
939 | addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded
|
---|
940 | addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal
|
---|
941 | addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal
|
---|
942 | addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal
|
---|
943 | addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal
|
---|
944 | addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999
|
---|
945 | addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999
|
---|
946 |
|
---|
947 | precision: 3
|
---|
948 | addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
|
---|
949 | addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
|
---|
950 | addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded
|
---|
951 | addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
|
---|
952 |
|
---|
953 | precision: 3
|
---|
954 | maxexponent: 999
|
---|
955 | minexponent: -999
|
---|
956 | addx910 add 1.00E-999 0 -> 1.00E-999
|
---|
957 | addx911 add 0.1E-999 0 -> 1E-1000 Subnormal
|
---|
958 | addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal
|
---|
959 | addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
|
---|
960 | addx914 add 0.01E-999 0 -> 1E-1001 Subnormal
|
---|
961 | -- next is rounded to Nmin
|
---|
962 | addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
|
---|
963 | addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
|
---|
964 | addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
|
---|
965 | addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
966 | addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
967 | addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
968 |
|
---|
969 | addx930 add -1.00E-999 0 -> -1.00E-999
|
---|
970 | addx931 add -0.1E-999 0 -> -1E-1000 Subnormal
|
---|
971 | addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal
|
---|
972 | addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
|
---|
973 | addx934 add -0.01E-999 0 -> -1E-1001 Subnormal
|
---|
974 | -- next is rounded to Nmin
|
---|
975 | addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
|
---|
976 | addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
|
---|
977 | addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
|
---|
978 | addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
979 | addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
980 | addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
981 |
|
---|
982 | -- some non-zero subnormal adds
|
---|
983 | addx950 add 1.00E-999 0.1E-999 -> 1.10E-999
|
---|
984 | addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal
|
---|
985 | addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal
|
---|
986 | addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded
|
---|
987 | addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal
|
---|
988 | addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded
|
---|
989 | addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow
|
---|
990 | addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow
|
---|
991 | addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
|
---|
992 | addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
|
---|
993 | addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
|
---|
994 | -- negatives...
|
---|
995 | addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal
|
---|
996 | addx962 add 0.1E-999 -0.1E-999 -> 0E-1000
|
---|
997 | addx963 add 0.10E-999 -0.1E-999 -> 0E-1001
|
---|
998 | addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped
|
---|
999 | addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal
|
---|
1000 | addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow
|
---|
1001 | addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
---|
1002 | addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow
|
---|
1003 | addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
|
---|
1004 | addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
|
---|
1005 | addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
|
---|
1006 |
|
---|
1007 | -- some 'real' numbers
|
---|
1008 | maxExponent: 384
|
---|
1009 | minExponent: -383
|
---|
1010 | precision: 8
|
---|
1011 | addx566 add 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal
|
---|
1012 | precision: 7
|
---|
1013 | addx567 add 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal
|
---|
1014 | precision: 6
|
---|
1015 | addx568 add 99999061735E-394 0E-394 -> 9.9999E-384 Inexact Rounded Underflow Subnormal
|
---|
1016 |
|
---|
1017 | -- now the case where we can get underflow but the result is normal
|
---|
1018 | -- [note this can't happen if the operands are also bounded, as we
|
---|
1019 | -- cannot represent 1E-399, for example]
|
---|
1020 | precision: 16
|
---|
1021 | rounding: half_up
|
---|
1022 | maxExponent: 384
|
---|
1023 | minExponent: -383
|
---|
1024 |
|
---|
1025 | addx571 add 1E-383 0 -> 1E-383
|
---|
1026 | addx572 add 1E-384 0 -> 1E-384 Subnormal
|
---|
1027 | addx573 add 1E-383 1E-384 -> 1.1E-383
|
---|
1028 | addx574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
|
---|
1029 |
|
---|
1030 | -- Here we explore the boundary of rounding a subnormal to Nmin
|
---|
1031 | addx575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
|
---|
1032 | addx576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
|
---|
1033 | addx577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
---|
1034 | addx578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
---|
1035 | addx579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
---|
1036 | addx580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
---|
1037 |
|
---|
1038 | -- check overflow edge case
|
---|
1039 | precision: 7
|
---|
1040 | rounding: half_up
|
---|
1041 | maxExponent: 96
|
---|
1042 | minExponent: -95
|
---|
1043 | addx972 apply 9.999999E+96 -> 9.999999E+96
|
---|
1044 | addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded
|
---|
1045 | addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded
|
---|
1046 | addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded
|
---|
1047 | addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded
|
---|
1048 | addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded
|
---|
1049 | addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded
|
---|
1050 | addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded
|
---|
1051 | addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded
|
---|
1052 | addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded
|
---|
1053 | addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded
|
---|
1054 | addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded
|
---|
1055 | addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded
|
---|
1056 |
|
---|
1057 | addx985 apply -9.999999E+96 -> -9.999999E+96
|
---|
1058 | addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded
|
---|
1059 | addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded
|
---|
1060 | addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded
|
---|
1061 | addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded
|
---|
1062 | addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded
|
---|
1063 | addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded
|
---|
1064 | addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded
|
---|
1065 | addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded
|
---|
1066 | addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded
|
---|
1067 | addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded
|
---|
1068 | addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded
|
---|
1069 | addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded
|
---|
1070 |
|
---|
1071 | -- check for double-rounded subnormals
|
---|
1072 | precision: 5
|
---|
1073 | maxexponent: 79
|
---|
1074 | minexponent: -79
|
---|
1075 | -- Add: lhs and rhs 0
|
---|
1076 | addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1077 | addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1078 | addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1079 | addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1080 | addx1005 add 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1081 | addx1006 add 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1082 |
|
---|
1083 | -- Add: lhs >> rhs and vice versa
|
---|
1084 | addx1011 add 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1085 | addx1012 add 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1086 | addx1013 add 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1087 | addx1014 add 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1088 | addx1015 add 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1089 | addx1016 add 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1090 |
|
---|
1091 | -- Add: lhs + rhs addition carried out
|
---|
1092 | addx1021 add 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1093 | addx1022 add 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1094 | addx1023 add 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1095 | addx1024 add 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1096 | addx1025 add 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1097 | addx1026 add 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
|
---|
1098 |
|
---|
1099 | -- And for round down full and subnormal results
|
---|
1100 | precision: 16
|
---|
1101 | maxExponent: +384
|
---|
1102 | minExponent: -383
|
---|
1103 | rounding: down
|
---|
1104 |
|
---|
1105 | addx1100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
|
---|
1106 | addx1101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
|
---|
1107 | addx1103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
|
---|
1108 | addx1104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
|
---|
1109 | addx1105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
|
---|
1110 | addx1106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
|
---|
1111 | addx1107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
|
---|
1112 | addx1108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
|
---|
1113 | addx1109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
|
---|
1114 |
|
---|
1115 | rounding: ceiling
|
---|
1116 | addx1110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
|
---|
1117 | addx1111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
|
---|
1118 | addx1113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
|
---|
1119 | addx1114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
|
---|
1120 | addx1115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
|
---|
1121 | addx1116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
|
---|
1122 | addx1117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
|
---|
1123 | addx1118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
|
---|
1124 | addx1119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
|
---|
1125 | addx1120 add +1e-383 -1e+2 -> -99.99999999999999 Rounded Inexact
|
---|
1126 | addx1121 add +1e-383 -1e+1 -> -9.999999999999999 Rounded Inexact
|
---|
1127 | addx1123 add +1e-383 -1 -> -0.9999999999999999 Rounded Inexact
|
---|
1128 | addx1124 add +1e-383 -1e-1 -> -0.09999999999999999 Rounded Inexact
|
---|
1129 | addx1125 add +1e-383 -1e-2 -> -0.009999999999999999 Rounded Inexact
|
---|
1130 | addx1126 add +1e-383 -1e-3 -> -0.0009999999999999999 Rounded Inexact
|
---|
1131 | addx1127 add +1e-383 -1e-4 -> -0.00009999999999999999 Rounded Inexact
|
---|
1132 | addx1128 add +1e-383 -1e-5 -> -0.000009999999999999999 Rounded Inexact
|
---|
1133 | addx1129 add +1e-383 -1e-6 -> -9.999999999999999E-7 Rounded Inexact
|
---|
1134 |
|
---|
1135 | rounding: down
|
---|
1136 | precision: 7
|
---|
1137 | maxExponent: +96
|
---|
1138 | minExponent: -95
|
---|
1139 | addx1130 add 1 -1e-200 -> 0.9999999 Rounded Inexact
|
---|
1140 | -- subnormal boundary
|
---|
1141 | addx1131 add 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact
|
---|
1142 | addx1132 add 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact
|
---|
1143 | addx1133 add 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow
|
---|
1144 | addx1134 add 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow
|
---|
1145 | addx1135 add 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow
|
---|
1146 | addx1136 add 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow
|
---|
1147 | addx1137 add 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal
|
---|
1148 | addx1138 add 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow
|
---|
1149 | addx1139 add 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
|
---|
1150 | addx1140 add 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
|
---|
1151 | addx1141 add 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
|
---|
1152 | addx1142 add 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
|
---|
1153 | addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
|
---|
1154 | addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
|
---|
1155 |
|
---|
1156 | addx1151 add 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
|
---|
1157 | addx1152 add 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
|
---|
1158 | addx1153 add 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
|
---|
1159 | addx1154 add 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
|
---|
1160 | addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
|
---|
1161 | addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
|
---|
1162 | addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
|
---|
1163 |
|
---|
1164 | addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
|
---|
1165 | addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
|
---|
1166 |
|
---|
1167 | -- tests based on Gunnar Degnbol's edge case
|
---|
1168 | precision: 15
|
---|
1169 | rounding: half_up
|
---|
1170 | maxExponent: 384
|
---|
1171 | minexponent: -383
|
---|
1172 |
|
---|
1173 | addx1200 add 1E15 -0.5 -> 1.00000000000000E+15 Inexact Rounded
|
---|
1174 | addx1201 add 1E15 -0.50 -> 1.00000000000000E+15 Inexact Rounded
|
---|
1175 | addx1210 add 1E15 -0.51 -> 999999999999999 Inexact Rounded
|
---|
1176 | addx1211 add 1E15 -0.501 -> 999999999999999 Inexact Rounded
|
---|
1177 | addx1212 add 1E15 -0.5001 -> 999999999999999 Inexact Rounded
|
---|
1178 | addx1213 add 1E15 -0.50001 -> 999999999999999 Inexact Rounded
|
---|
1179 | addx1214 add 1E15 -0.500001 -> 999999999999999 Inexact Rounded
|
---|
1180 | addx1215 add 1E15 -0.5000001 -> 999999999999999 Inexact Rounded
|
---|
1181 | addx1216 add 1E15 -0.50000001 -> 999999999999999 Inexact Rounded
|
---|
1182 | addx1217 add 1E15 -0.500000001 -> 999999999999999 Inexact Rounded
|
---|
1183 | addx1218 add 1E15 -0.5000000001 -> 999999999999999 Inexact Rounded
|
---|
1184 | addx1219 add 1E15 -0.50000000001 -> 999999999999999 Inexact Rounded
|
---|
1185 | addx1220 add 1E15 -0.500000000001 -> 999999999999999 Inexact Rounded
|
---|
1186 | addx1221 add 1E15 -0.5000000000001 -> 999999999999999 Inexact Rounded
|
---|
1187 | addx1222 add 1E15 -0.50000000000001 -> 999999999999999 Inexact Rounded
|
---|
1188 | addx1223 add 1E15 -0.500000000000001 -> 999999999999999 Inexact Rounded
|
---|
1189 | addx1224 add 1E15 -0.5000000000000001 -> 999999999999999 Inexact Rounded
|
---|
1190 | addx1225 add 1E15 -0.5000000000000000 -> 1.00000000000000E+15 Inexact Rounded
|
---|
1191 | addx1230 add 1E15 -5000000.000000001 -> 999999995000000 Inexact Rounded
|
---|
1192 |
|
---|
1193 | precision: 16
|
---|
1194 |
|
---|
1195 | addx1300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1196 | addx1310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded
|
---|
1197 | addx1311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded
|
---|
1198 | addx1312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
|
---|
1199 | addx1313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
|
---|
1200 | addx1314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
|
---|
1201 | addx1315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
|
---|
1202 | addx1316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
|
---|
1203 | addx1317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
|
---|
1204 | addx1318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
|
---|
1205 | addx1319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
|
---|
1206 | addx1320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
|
---|
1207 | addx1321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
|
---|
1208 | addx1322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
|
---|
1209 | addx1323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
|
---|
1210 | addx1324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
|
---|
1211 | addx1325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1212 | addx1326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1213 | addx1327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1214 | addx1328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1215 | addx1329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1216 | addx1330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1217 | addx1331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1218 | addx1332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1219 | addx1333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1220 | addx1334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1221 | addx1335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1222 | addx1336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1223 | addx1337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1224 | addx1338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1225 | addx1339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1226 |
|
---|
1227 | addx1340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
|
---|
1228 | addx1341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
|
---|
1229 |
|
---|
1230 | addx1349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
|
---|
1231 | addx1350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
|
---|
1232 | addx1351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
|
---|
1233 | addx1352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
|
---|
1234 | addx1353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
|
---|
1235 | addx1354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
|
---|
1236 | addx1355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
|
---|
1237 | addx1356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
|
---|
1238 | addx1357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
|
---|
1239 | addx1358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
|
---|
1240 | addx1359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
|
---|
1241 | addx1360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
|
---|
1242 | addx1361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
|
---|
1243 | addx1362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
|
---|
1244 | addx1363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
|
---|
1245 | addx1364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
|
---|
1246 | addx1365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1247 | addx1367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1248 | addx1368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1249 | addx1369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1250 | addx1370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1251 | addx1371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1252 | addx1372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1253 | addx1373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1254 | addx1374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1255 | addx1375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1256 | addx1376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1257 | addx1377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1258 | addx1378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1259 | addx1379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1260 | addx1380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1261 | addx1381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1262 | addx1382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1263 | addx1383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1264 | addx1384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1265 | addx1385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1266 | addx1386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1267 | addx1387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1268 | addx1388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1269 | addx1389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1270 | addx1390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1271 | addx1391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1272 | addx1392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1273 | addx1393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1274 | addx1394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1275 | addx1395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1276 | addx1396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1277 |
|
---|
1278 | -- More GD edge cases, where difference between the unadjusted
|
---|
1279 | -- exponents is larger than the maximum precision and one side is 0
|
---|
1280 | precision: 15
|
---|
1281 | rounding: half_up
|
---|
1282 | maxExponent: 384
|
---|
1283 | minexponent: -383
|
---|
1284 |
|
---|
1285 | addx1400 add 0 1.23456789012345 -> 1.23456789012345
|
---|
1286 | addx1401 add 0 1.23456789012345E-1 -> 0.123456789012345
|
---|
1287 | addx1402 add 0 1.23456789012345E-2 -> 0.0123456789012345
|
---|
1288 | addx1403 add 0 1.23456789012345E-3 -> 0.00123456789012345
|
---|
1289 | addx1404 add 0 1.23456789012345E-4 -> 0.000123456789012345
|
---|
1290 | addx1405 add 0 1.23456789012345E-5 -> 0.0000123456789012345
|
---|
1291 | addx1406 add 0 1.23456789012345E-6 -> 0.00000123456789012345
|
---|
1292 | addx1407 add 0 1.23456789012345E-7 -> 1.23456789012345E-7
|
---|
1293 | addx1408 add 0 1.23456789012345E-8 -> 1.23456789012345E-8
|
---|
1294 | addx1409 add 0 1.23456789012345E-9 -> 1.23456789012345E-9
|
---|
1295 | addx1410 add 0 1.23456789012345E-10 -> 1.23456789012345E-10
|
---|
1296 | addx1411 add 0 1.23456789012345E-11 -> 1.23456789012345E-11
|
---|
1297 | addx1412 add 0 1.23456789012345E-12 -> 1.23456789012345E-12
|
---|
1298 | addx1413 add 0 1.23456789012345E-13 -> 1.23456789012345E-13
|
---|
1299 | addx1414 add 0 1.23456789012345E-14 -> 1.23456789012345E-14
|
---|
1300 | addx1415 add 0 1.23456789012345E-15 -> 1.23456789012345E-15
|
---|
1301 | addx1416 add 0 1.23456789012345E-16 -> 1.23456789012345E-16
|
---|
1302 | addx1417 add 0 1.23456789012345E-17 -> 1.23456789012345E-17
|
---|
1303 | addx1418 add 0 1.23456789012345E-18 -> 1.23456789012345E-18
|
---|
1304 | addx1419 add 0 1.23456789012345E-19 -> 1.23456789012345E-19
|
---|
1305 |
|
---|
1306 | -- same, precision 16..
|
---|
1307 | precision: 16
|
---|
1308 | addx1420 add 0 1.123456789012345 -> 1.123456789012345
|
---|
1309 | addx1421 add 0 1.123456789012345E-1 -> 0.1123456789012345
|
---|
1310 | addx1422 add 0 1.123456789012345E-2 -> 0.01123456789012345
|
---|
1311 | addx1423 add 0 1.123456789012345E-3 -> 0.001123456789012345
|
---|
1312 | addx1424 add 0 1.123456789012345E-4 -> 0.0001123456789012345
|
---|
1313 | addx1425 add 0 1.123456789012345E-5 -> 0.00001123456789012345
|
---|
1314 | addx1426 add 0 1.123456789012345E-6 -> 0.000001123456789012345
|
---|
1315 | addx1427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7
|
---|
1316 | addx1428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8
|
---|
1317 | addx1429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9
|
---|
1318 | addx1430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10
|
---|
1319 | addx1431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11
|
---|
1320 | addx1432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12
|
---|
1321 | addx1433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13
|
---|
1322 | addx1434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14
|
---|
1323 | addx1435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15
|
---|
1324 | addx1436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16
|
---|
1325 | addx1437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17
|
---|
1326 | addx1438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18
|
---|
1327 | addx1439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19
|
---|
1328 |
|
---|
1329 | -- same, reversed 0
|
---|
1330 | addx1440 add 1.123456789012345 0 -> 1.123456789012345
|
---|
1331 | addx1441 add 1.123456789012345E-1 0 -> 0.1123456789012345
|
---|
1332 | addx1442 add 1.123456789012345E-2 0 -> 0.01123456789012345
|
---|
1333 | addx1443 add 1.123456789012345E-3 0 -> 0.001123456789012345
|
---|
1334 | addx1444 add 1.123456789012345E-4 0 -> 0.0001123456789012345
|
---|
1335 | addx1445 add 1.123456789012345E-5 0 -> 0.00001123456789012345
|
---|
1336 | addx1446 add 1.123456789012345E-6 0 -> 0.000001123456789012345
|
---|
1337 | addx1447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7
|
---|
1338 | addx1448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8
|
---|
1339 | addx1449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9
|
---|
1340 | addx1450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10
|
---|
1341 | addx1451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11
|
---|
1342 | addx1452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12
|
---|
1343 | addx1453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13
|
---|
1344 | addx1454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14
|
---|
1345 | addx1455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15
|
---|
1346 | addx1456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16
|
---|
1347 | addx1457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17
|
---|
1348 | addx1458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18
|
---|
1349 | addx1459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19
|
---|
1350 |
|
---|
1351 | -- same, Es on the 0
|
---|
1352 | addx1460 add 1.123456789012345 0E-0 -> 1.123456789012345
|
---|
1353 | addx1461 add 1.123456789012345 0E-1 -> 1.123456789012345
|
---|
1354 | addx1462 add 1.123456789012345 0E-2 -> 1.123456789012345
|
---|
1355 | addx1463 add 1.123456789012345 0E-3 -> 1.123456789012345
|
---|
1356 | addx1464 add 1.123456789012345 0E-4 -> 1.123456789012345
|
---|
1357 | addx1465 add 1.123456789012345 0E-5 -> 1.123456789012345
|
---|
1358 | addx1466 add 1.123456789012345 0E-6 -> 1.123456789012345
|
---|
1359 | addx1467 add 1.123456789012345 0E-7 -> 1.123456789012345
|
---|
1360 | addx1468 add 1.123456789012345 0E-8 -> 1.123456789012345
|
---|
1361 | addx1469 add 1.123456789012345 0E-9 -> 1.123456789012345
|
---|
1362 | addx1470 add 1.123456789012345 0E-10 -> 1.123456789012345
|
---|
1363 | addx1471 add 1.123456789012345 0E-11 -> 1.123456789012345
|
---|
1364 | addx1472 add 1.123456789012345 0E-12 -> 1.123456789012345
|
---|
1365 | addx1473 add 1.123456789012345 0E-13 -> 1.123456789012345
|
---|
1366 | addx1474 add 1.123456789012345 0E-14 -> 1.123456789012345
|
---|
1367 | addx1475 add 1.123456789012345 0E-15 -> 1.123456789012345
|
---|
1368 | -- next four flag Rounded because the 0 extends the result
|
---|
1369 | addx1476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
|
---|
1370 | addx1477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
|
---|
1371 | addx1478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
|
---|
1372 | addx1479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
|
---|
1373 |
|
---|
1374 | -- sum of two opposite-sign operands is exactly 0 and floor => -0
|
---|
1375 | precision: 16
|
---|
1376 | maxExponent: 384
|
---|
1377 | minexponent: -383
|
---|
1378 |
|
---|
1379 | rounding: half_up
|
---|
1380 | -- exact zeros from zeros
|
---|
1381 | addx1500 add 0 0E-19 -> 0E-19
|
---|
1382 | addx1501 add -0 0E-19 -> 0E-19
|
---|
1383 | addx1502 add 0 -0E-19 -> 0E-19
|
---|
1384 | addx1503 add -0 -0E-19 -> -0E-19
|
---|
1385 | addx1504 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
1386 | addx1505 add -0E-400 0E-19 -> 0E-398 Clamped
|
---|
1387 | addx1506 add 0E-400 -0E-19 -> 0E-398 Clamped
|
---|
1388 | addx1507 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
1389 | -- inexact zeros
|
---|
1390 | addx1511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1391 | addx1512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1392 | addx1513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1393 | addx1514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1394 | -- some exact zeros from non-zeros
|
---|
1395 | addx1515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1396 | addx1516 add -1E-401 1E-401 -> 0E-398 Clamped
|
---|
1397 | addx1517 add 1E-401 -1E-401 -> 0E-398 Clamped
|
---|
1398 | addx1518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1399 |
|
---|
1400 | rounding: half_down
|
---|
1401 | -- exact zeros from zeros
|
---|
1402 | addx1520 add 0 0E-19 -> 0E-19
|
---|
1403 | addx1521 add -0 0E-19 -> 0E-19
|
---|
1404 | addx1522 add 0 -0E-19 -> 0E-19
|
---|
1405 | addx1523 add -0 -0E-19 -> -0E-19
|
---|
1406 | addx1524 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
1407 | addx1525 add -0E-400 0E-19 -> 0E-398 Clamped
|
---|
1408 | addx1526 add 0E-400 -0E-19 -> 0E-398 Clamped
|
---|
1409 | addx1527 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
1410 | -- inexact zeros
|
---|
1411 | addx1531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1412 | addx1532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1413 | addx1533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1414 | addx1534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1415 | -- some exact zeros from non-zeros
|
---|
1416 | addx1535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1417 | addx1536 add -1E-401 1E-401 -> 0E-398 Clamped
|
---|
1418 | addx1537 add 1E-401 -1E-401 -> 0E-398 Clamped
|
---|
1419 | addx1538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1420 |
|
---|
1421 | rounding: half_even
|
---|
1422 | -- exact zeros from zeros
|
---|
1423 | addx1540 add 0 0E-19 -> 0E-19
|
---|
1424 | addx1541 add -0 0E-19 -> 0E-19
|
---|
1425 | addx1542 add 0 -0E-19 -> 0E-19
|
---|
1426 | addx1543 add -0 -0E-19 -> -0E-19
|
---|
1427 | addx1544 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
1428 | addx1545 add -0E-400 0E-19 -> 0E-398 Clamped
|
---|
1429 | addx1546 add 0E-400 -0E-19 -> 0E-398 Clamped
|
---|
1430 | addx1547 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
1431 | -- inexact zeros
|
---|
1432 | addx1551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1433 | addx1552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1434 | addx1553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1435 | addx1554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1436 | -- some exact zeros from non-zeros
|
---|
1437 | addx1555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1438 | addx1556 add -1E-401 1E-401 -> 0E-398 Clamped
|
---|
1439 | addx1557 add 1E-401 -1E-401 -> 0E-398 Clamped
|
---|
1440 | addx1558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1441 |
|
---|
1442 | rounding: up
|
---|
1443 | -- exact zeros from zeros
|
---|
1444 | addx1560 add 0 0E-19 -> 0E-19
|
---|
1445 | addx1561 add -0 0E-19 -> 0E-19
|
---|
1446 | addx1562 add 0 -0E-19 -> 0E-19
|
---|
1447 | addx1563 add -0 -0E-19 -> -0E-19
|
---|
1448 | addx1564 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
1449 | addx1565 add -0E-400 0E-19 -> 0E-398 Clamped
|
---|
1450 | addx1566 add 0E-400 -0E-19 -> 0E-398 Clamped
|
---|
1451 | addx1567 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
1452 | -- inexact zeros
|
---|
1453 | addx1571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
---|
1454 | addx1572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
---|
1455 | addx1573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
---|
1456 | addx1574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
---|
1457 | -- some exact zeros from non-zeros
|
---|
1458 | addx1575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
|
---|
1459 | addx1576 add -1E-401 1E-401 -> 0E-398 Clamped
|
---|
1460 | addx1577 add 1E-401 -1E-401 -> 0E-398 Clamped
|
---|
1461 | addx1578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
|
---|
1462 |
|
---|
1463 | rounding: down
|
---|
1464 | -- exact zeros from zeros
|
---|
1465 | addx1580 add 0 0E-19 -> 0E-19
|
---|
1466 | addx1581 add -0 0E-19 -> 0E-19
|
---|
1467 | addx1582 add 0 -0E-19 -> 0E-19
|
---|
1468 | addx1583 add -0 -0E-19 -> -0E-19
|
---|
1469 | addx1584 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
1470 | addx1585 add -0E-400 0E-19 -> 0E-398 Clamped
|
---|
1471 | addx1586 add 0E-400 -0E-19 -> 0E-398 Clamped
|
---|
1472 | addx1587 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
1473 | -- inexact zeros
|
---|
1474 | addx1591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1475 | addx1592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1476 | addx1593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1477 | addx1594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1478 | -- some exact zeros from non-zeros
|
---|
1479 | addx1595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1480 | addx1596 add -1E-401 1E-401 -> 0E-398 Clamped
|
---|
1481 | addx1597 add 1E-401 -1E-401 -> 0E-398 Clamped
|
---|
1482 | addx1598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1483 |
|
---|
1484 | rounding: ceiling
|
---|
1485 | -- exact zeros from zeros
|
---|
1486 | addx1600 add 0 0E-19 -> 0E-19
|
---|
1487 | addx1601 add -0 0E-19 -> 0E-19
|
---|
1488 | addx1602 add 0 -0E-19 -> 0E-19
|
---|
1489 | addx1603 add -0 -0E-19 -> -0E-19
|
---|
1490 | addx1604 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
1491 | addx1605 add -0E-400 0E-19 -> 0E-398 Clamped
|
---|
1492 | addx1606 add 0E-400 -0E-19 -> 0E-398 Clamped
|
---|
1493 | addx1607 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
1494 | -- inexact zeros
|
---|
1495 | addx1611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
---|
1496 | addx1612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
---|
1497 | addx1613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1498 | addx1614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1499 | -- some exact zeros from non-zeros
|
---|
1500 | addx1615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
|
---|
1501 | addx1616 add -1E-401 1E-401 -> 0E-398 Clamped
|
---|
1502 | addx1617 add 1E-401 -1E-401 -> 0E-398 Clamped
|
---|
1503 | addx1618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1504 |
|
---|
1505 | -- and the extra-special ugly case; unusual minuses marked by -- *
|
---|
1506 | rounding: floor
|
---|
1507 | -- exact zeros from zeros
|
---|
1508 | addx1620 add 0 0E-19 -> 0E-19
|
---|
1509 | addx1621 add -0 0E-19 -> -0E-19 -- *
|
---|
1510 | addx1622 add 0 -0E-19 -> -0E-19 -- *
|
---|
1511 | addx1623 add -0 -0E-19 -> -0E-19
|
---|
1512 | addx1624 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
1513 | addx1625 add -0E-400 0E-19 -> -0E-398 Clamped -- *
|
---|
1514 | addx1626 add 0E-400 -0E-19 -> -0E-398 Clamped -- *
|
---|
1515 | addx1627 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
1516 | -- inexact zeros
|
---|
1517 | addx1631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1518 | addx1632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1519 | addx1633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
---|
1520 | addx1634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
---|
1521 | -- some exact zeros from non-zeros
|
---|
1522 | addx1635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
1523 | addx1636 add -1E-401 1E-401 -> -0E-398 Clamped -- *
|
---|
1524 | addx1637 add 1E-401 -1E-401 -> -0E-398 Clamped -- *
|
---|
1525 | addx1638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
|
---|
1526 |
|
---|
1527 | -- BigDecimal problem testcases 2006.01.23
|
---|
1528 | precision: 16
|
---|
1529 | maxExponent: 384
|
---|
1530 | minexponent: -383
|
---|
1531 |
|
---|
1532 | rounding: down
|
---|
1533 | precision: 7
|
---|
1534 | addx1651 add 10001E+2 -2E+1 -> 1.00008E+6
|
---|
1535 | precision: 6
|
---|
1536 | addx1652 add 10001E+2 -2E+1 -> 1.00008E+6
|
---|
1537 | precision: 5
|
---|
1538 | addx1653 add 10001E+2 -2E+1 -> 1.0000E+6 Inexact Rounded
|
---|
1539 | precision: 4
|
---|
1540 | addx1654 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
|
---|
1541 | precision: 3
|
---|
1542 | addx1655 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
|
---|
1543 | precision: 2
|
---|
1544 | addx1656 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
|
---|
1545 | precision: 1
|
---|
1546 | addx1657 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
|
---|
1547 |
|
---|
1548 | rounding: half_even
|
---|
1549 | precision: 7
|
---|
1550 | addx1661 add 10001E+2 -2E+1 -> 1.00008E+6
|
---|
1551 | precision: 6
|
---|
1552 | addx1662 add 10001E+2 -2E+1 -> 1.00008E+6
|
---|
1553 | precision: 5
|
---|
1554 | addx1663 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
|
---|
1555 | precision: 4
|
---|
1556 | addx1664 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
|
---|
1557 | precision: 3
|
---|
1558 | addx1665 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
|
---|
1559 | precision: 2
|
---|
1560 | addx1666 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
|
---|
1561 | precision: 1
|
---|
1562 | addx1667 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
|
---|
1563 |
|
---|
1564 | rounding: up
|
---|
1565 | precision: 7
|
---|
1566 | addx1671 add 10001E+2 -2E+1 -> 1.00008E+6
|
---|
1567 | precision: 6
|
---|
1568 | addx1672 add 10001E+2 -2E+1 -> 1.00008E+6
|
---|
1569 | precision: 5
|
---|
1570 | addx1673 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
|
---|
1571 | precision: 4
|
---|
1572 | addx1674 add 10001E+2 -2E+1 -> 1.001E+6 Inexact Rounded
|
---|
1573 | precision: 3
|
---|
1574 | addx1675 add 10001E+2 -2E+1 -> 1.01E+6 Inexact Rounded
|
---|
1575 | precision: 2
|
---|
1576 | addx1676 add 10001E+2 -2E+1 -> 1.1E+6 Inexact Rounded
|
---|
1577 | precision: 1
|
---|
1578 | addx1677 add 10001E+2 -2E+1 -> 2E+6 Inexact Rounded
|
---|
1579 |
|
---|
1580 | precision: 34
|
---|
1581 | rounding: half_up
|
---|
1582 | maxExponent: 6144
|
---|
1583 | minExponent: -6143
|
---|
1584 | -- Examples from SQL proposal (Krishna Kulkarni)
|
---|
1585 | addx1701 add 130E-2 120E-2 -> 2.50
|
---|
1586 | addx1702 add 130E-2 12E-1 -> 2.50
|
---|
1587 | addx1703 add 130E-2 1E0 -> 2.30
|
---|
1588 | addx1704 add 1E2 1E4 -> 1.01E+4
|
---|
1589 | addx1705 subtract 130E-2 120E-2 -> 0.10
|
---|
1590 | addx1706 subtract 130E-2 12E-1 -> 0.10
|
---|
1591 | addx1707 subtract 130E-2 1E0 -> 0.30
|
---|
1592 | addx1708 subtract 1E2 1E4 -> -9.9E+3
|
---|
1593 |
|
---|
1594 | ------------------------------------------------------------------------
|
---|
1595 | -- Same as above, using decimal64 default parameters --
|
---|
1596 | ------------------------------------------------------------------------
|
---|
1597 | precision: 16
|
---|
1598 | rounding: half_even
|
---|
1599 | maxExponent: 384
|
---|
1600 | minexponent: -383
|
---|
1601 |
|
---|
1602 | -- [first group are 'quick confidence check']
|
---|
1603 | addx6001 add 1 1 -> 2
|
---|
1604 | addx6002 add 2 3 -> 5
|
---|
1605 | addx6003 add '5.75' '3.3' -> 9.05
|
---|
1606 | addx6004 add '5' '-3' -> 2
|
---|
1607 | addx6005 add '-5' '-3' -> -8
|
---|
1608 | addx6006 add '-7' '2.5' -> -4.5
|
---|
1609 | addx6007 add '0.7' '0.3' -> 1.0
|
---|
1610 | addx6008 add '1.25' '1.25' -> 2.50
|
---|
1611 | addx6009 add '1.23456789' '1.00000000' -> '2.23456789'
|
---|
1612 | addx6010 add '1.23456789' '1.00000011' -> '2.23456800'
|
---|
1613 |
|
---|
1614 | addx6011 add '0.44444444444444444' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
|
---|
1615 | addx6012 add '0.44444444444444440' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
|
---|
1616 | addx6013 add '0.44444444444444444' '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded
|
---|
1617 | addx6014 add '0.444444444444444449' '0' -> '0.4444444444444444' Inexact Rounded
|
---|
1618 | addx6015 add '0.4444444444444444499' '0' -> '0.4444444444444444' Inexact Rounded
|
---|
1619 | addx6016 add '0.44444444444444444999' '0' -> '0.4444444444444444' Inexact Rounded
|
---|
1620 | addx6017 add '0.44444444444444445000' '0' -> '0.4444444444444444' Inexact Rounded
|
---|
1621 | addx6018 add '0.44444444444444445001' '0' -> '0.4444444444444445' Inexact Rounded
|
---|
1622 | addx6019 add '0.4444444444444444501' '0' -> '0.4444444444444445' Inexact Rounded
|
---|
1623 | addx6020 add '0.444444444444444451' '0' -> '0.4444444444444445' Inexact Rounded
|
---|
1624 |
|
---|
1625 | addx6021 add 0 1 -> 1
|
---|
1626 | addx6022 add 1 1 -> 2
|
---|
1627 | addx6023 add 2 1 -> 3
|
---|
1628 | addx6024 add 3 1 -> 4
|
---|
1629 | addx6025 add 4 1 -> 5
|
---|
1630 | addx6026 add 5 1 -> 6
|
---|
1631 | addx6027 add 6 1 -> 7
|
---|
1632 | addx6028 add 7 1 -> 8
|
---|
1633 | addx6029 add 8 1 -> 9
|
---|
1634 | addx6030 add 9 1 -> 10
|
---|
1635 |
|
---|
1636 | -- some carrying effects
|
---|
1637 | addx6031 add '0.9998' '0.0000' -> '0.9998'
|
---|
1638 | addx6032 add '0.9998' '0.0001' -> '0.9999'
|
---|
1639 | addx6033 add '0.9998' '0.0002' -> '1.0000'
|
---|
1640 | addx6034 add '0.9998' '0.0003' -> '1.0001'
|
---|
1641 |
|
---|
1642 | addx6035 add '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
|
---|
1643 | addx6036 add '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
|
---|
1644 | addx6037 add '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
|
---|
1645 | addx6038 add '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded
|
---|
1646 | addx6039 add '700000' '10000e+16' -> '1.000000000000007E+20' Rounded
|
---|
1647 |
|
---|
1648 | -- symmetry:
|
---|
1649 | addx6040 add '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
|
---|
1650 | addx6041 add '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
|
---|
1651 | addx6042 add '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded
|
---|
1652 | addx6044 add '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded
|
---|
1653 | addx6045 add '10000e+16' '700000' -> '1.000000000000007E+20' Rounded
|
---|
1654 |
|
---|
1655 | addx6046 add '10000e+9' '7' -> '10000000000007'
|
---|
1656 | addx6047 add '10000e+9' '70' -> '10000000000070'
|
---|
1657 | addx6048 add '10000e+9' '700' -> '10000000000700'
|
---|
1658 | addx6049 add '10000e+9' '7000' -> '10000000007000'
|
---|
1659 | addx6050 add '10000e+9' '70000' -> '10000000070000'
|
---|
1660 | addx6051 add '10000e+9' '700000' -> '10000000700000'
|
---|
1661 |
|
---|
1662 | -- examples from decarith
|
---|
1663 | addx6053 add '12' '7.00' -> '19.00'
|
---|
1664 | addx6054 add '1.3' '-1.07' -> '0.23'
|
---|
1665 | addx6055 add '1.3' '-1.30' -> '0.00'
|
---|
1666 | addx6056 add '1.3' '-2.07' -> '-0.77'
|
---|
1667 | addx6057 add '1E+2' '1E+4' -> '1.01E+4'
|
---|
1668 |
|
---|
1669 | -- from above
|
---|
1670 | addx6060 add 1 '0.1' -> '1.1'
|
---|
1671 | addx6061 add 1 '0.01' -> '1.01'
|
---|
1672 | addx6062 add 1 '0.001' -> '1.001'
|
---|
1673 | addx6063 add 1 '0.0001' -> '1.0001'
|
---|
1674 | addx6064 add 1 '0.00001' -> '1.00001'
|
---|
1675 | addx6065 add 1 '0.000001' -> '1.000001'
|
---|
1676 | addx6066 add 1 '0.0000001' -> '1.0000001'
|
---|
1677 | addx6067 add 1 '0.00000001' -> '1.00000001'
|
---|
1678 |
|
---|
1679 | -- cancellation to integer
|
---|
1680 | addx6068 add 99999999999999123456789 -99999999999999E+9 -> 123456789
|
---|
1681 | -- similar from FMA fun
|
---|
1682 | addx6069 add "-1234567890123455.234567890123454" "1234567890123456" -> 0.765432109876546
|
---|
1683 |
|
---|
1684 | -- some funny zeros [in case of bad signum]
|
---|
1685 | addx6070 add 1 0 -> 1
|
---|
1686 | addx6071 add 1 0. -> 1
|
---|
1687 | addx6072 add 1 .0 -> 1.0
|
---|
1688 | addx6073 add 1 0.0 -> 1.0
|
---|
1689 | addx6074 add 1 0.00 -> 1.00
|
---|
1690 | addx6075 add 0 1 -> 1
|
---|
1691 | addx6076 add 0. 1 -> 1
|
---|
1692 | addx6077 add .0 1 -> 1.0
|
---|
1693 | addx6078 add 0.0 1 -> 1.0
|
---|
1694 | addx6079 add 0.00 1 -> 1.00
|
---|
1695 |
|
---|
1696 | -- some carries
|
---|
1697 | addx6080 add 9999999999999998 1 -> 9999999999999999
|
---|
1698 | addx6081 add 9999999999999999 1 -> 1.000000000000000E+16 Rounded
|
---|
1699 | addx6082 add 999999999999999 1 -> 1000000000000000
|
---|
1700 | addx6083 add 9999999999999 1 -> 10000000000000
|
---|
1701 | addx6084 add 99999999999 1 -> 100000000000
|
---|
1702 | addx6085 add 999999999 1 -> 1000000000
|
---|
1703 | addx6086 add 9999999 1 -> 10000000
|
---|
1704 | addx6087 add 99999 1 -> 100000
|
---|
1705 | addx6088 add 999 1 -> 1000
|
---|
1706 | addx6089 add 9 1 -> 10
|
---|
1707 |
|
---|
1708 |
|
---|
1709 | -- more LHS swaps
|
---|
1710 | addx6090 add '-56267E-10' 0 -> '-0.0000056267'
|
---|
1711 | addx6091 add '-56267E-6' 0 -> '-0.056267'
|
---|
1712 | addx6092 add '-56267E-5' 0 -> '-0.56267'
|
---|
1713 | addx6093 add '-56267E-4' 0 -> '-5.6267'
|
---|
1714 | addx6094 add '-56267E-3' 0 -> '-56.267'
|
---|
1715 | addx6095 add '-56267E-2' 0 -> '-562.67'
|
---|
1716 | addx6096 add '-56267E-1' 0 -> '-5626.7'
|
---|
1717 | addx6097 add '-56267E-0' 0 -> '-56267'
|
---|
1718 | addx6098 add '-5E-10' 0 -> '-5E-10'
|
---|
1719 | addx6099 add '-5E-7' 0 -> '-5E-7'
|
---|
1720 | addx6100 add '-5E-6' 0 -> '-0.000005'
|
---|
1721 | addx6101 add '-5E-5' 0 -> '-0.00005'
|
---|
1722 | addx6102 add '-5E-4' 0 -> '-0.0005'
|
---|
1723 | addx6103 add '-5E-1' 0 -> '-0.5'
|
---|
1724 | addx6104 add '-5E0' 0 -> '-5'
|
---|
1725 | addx6105 add '-5E1' 0 -> '-50'
|
---|
1726 | addx6106 add '-5E5' 0 -> '-500000'
|
---|
1727 | addx6107 add '-5E15' 0 -> '-5000000000000000'
|
---|
1728 | addx6108 add '-5E16' 0 -> '-5.000000000000000E+16' Rounded
|
---|
1729 | addx6109 add '-5E17' 0 -> '-5.000000000000000E+17' Rounded
|
---|
1730 | addx6110 add '-5E18' 0 -> '-5.000000000000000E+18' Rounded
|
---|
1731 | addx6111 add '-5E100' 0 -> '-5.000000000000000E+100' Rounded
|
---|
1732 |
|
---|
1733 | -- more RHS swaps
|
---|
1734 | addx6113 add 0 '-56267E-10' -> '-0.0000056267'
|
---|
1735 | addx6114 add 0 '-56267E-6' -> '-0.056267'
|
---|
1736 | addx6116 add 0 '-56267E-5' -> '-0.56267'
|
---|
1737 | addx6117 add 0 '-56267E-4' -> '-5.6267'
|
---|
1738 | addx6119 add 0 '-56267E-3' -> '-56.267'
|
---|
1739 | addx6120 add 0 '-56267E-2' -> '-562.67'
|
---|
1740 | addx6121 add 0 '-56267E-1' -> '-5626.7'
|
---|
1741 | addx6122 add 0 '-56267E-0' -> '-56267'
|
---|
1742 | addx6123 add 0 '-5E-10' -> '-5E-10'
|
---|
1743 | addx6124 add 0 '-5E-7' -> '-5E-7'
|
---|
1744 | addx6125 add 0 '-5E-6' -> '-0.000005'
|
---|
1745 | addx6126 add 0 '-5E-5' -> '-0.00005'
|
---|
1746 | addx6127 add 0 '-5E-4' -> '-0.0005'
|
---|
1747 | addx6128 add 0 '-5E-1' -> '-0.5'
|
---|
1748 | addx6129 add 0 '-5E0' -> '-5'
|
---|
1749 | addx6130 add 0 '-5E1' -> '-50'
|
---|
1750 | addx6131 add 0 '-5E5' -> '-500000'
|
---|
1751 | addx6132 add 0 '-5E15' -> '-5000000000000000'
|
---|
1752 | addx6133 add 0 '-5E16' -> '-5.000000000000000E+16' Rounded
|
---|
1753 | addx6134 add 0 '-5E17' -> '-5.000000000000000E+17' Rounded
|
---|
1754 | addx6135 add 0 '-5E18' -> '-5.000000000000000E+18' Rounded
|
---|
1755 | addx6136 add 0 '-5E100' -> '-5.000000000000000E+100' Rounded
|
---|
1756 |
|
---|
1757 | -- related
|
---|
1758 | addx6137 add 1 '0E-19' -> '1.000000000000000' Rounded
|
---|
1759 | addx6138 add -1 '0E-19' -> '-1.000000000000000' Rounded
|
---|
1760 | addx6139 add '0E-19' 1 -> '1.000000000000000' Rounded
|
---|
1761 | addx6140 add '0E-19' -1 -> '-1.000000000000000' Rounded
|
---|
1762 | addx6141 add 1E+11 0.0000 -> '100000000000.0000'
|
---|
1763 | addx6142 add 1E+11 0.00000 -> '100000000000.0000' Rounded
|
---|
1764 | addx6143 add 0.000 1E+12 -> '1000000000000.000'
|
---|
1765 | addx6144 add 0.0000 1E+12 -> '1000000000000.000' Rounded
|
---|
1766 |
|
---|
1767 | -- [some of the next group are really constructor tests]
|
---|
1768 | addx6146 add '00.0' 0 -> '0.0'
|
---|
1769 | addx6147 add '0.00' 0 -> '0.00'
|
---|
1770 | addx6148 add 0 '0.00' -> '0.00'
|
---|
1771 | addx6149 add 0 '00.0' -> '0.0'
|
---|
1772 | addx6150 add '00.0' '0.00' -> '0.00'
|
---|
1773 | addx6151 add '0.00' '00.0' -> '0.00'
|
---|
1774 | addx6152 add '3' '.3' -> '3.3'
|
---|
1775 | addx6153 add '3.' '.3' -> '3.3'
|
---|
1776 | addx6154 add '3.0' '.3' -> '3.3'
|
---|
1777 | addx6155 add '3.00' '.3' -> '3.30'
|
---|
1778 | addx6156 add '3' '3' -> '6'
|
---|
1779 | addx6157 add '3' '+3' -> '6'
|
---|
1780 | addx6158 add '3' '-3' -> '0'
|
---|
1781 | addx6159 add '0.3' '-0.3' -> '0.0'
|
---|
1782 | addx6160 add '0.03' '-0.03' -> '0.00'
|
---|
1783 |
|
---|
1784 | -- try borderline precision, with carries, etc.
|
---|
1785 | addx6161 add '1E+13' '-1' -> '9999999999999'
|
---|
1786 | addx6162 add '1E+13' '1.11' -> '10000000000001.11'
|
---|
1787 | addx6163 add '1.11' '1E+13' -> '10000000000001.11'
|
---|
1788 | addx6164 add '-1' '1E+13' -> '9999999999999'
|
---|
1789 | addx6165 add '7E+13' '-1' -> '69999999999999'
|
---|
1790 | addx6166 add '7E+13' '1.11' -> '70000000000001.11'
|
---|
1791 | addx6167 add '1.11' '7E+13' -> '70000000000001.11'
|
---|
1792 | addx6168 add '-1' '7E+13' -> '69999999999999'
|
---|
1793 |
|
---|
1794 | -- 1234567890123456 1234567890123456 1 234567890123456
|
---|
1795 | addx6170 add '0.4444444444444444' '0.5555555555555563' -> '1.000000000000001' Inexact Rounded
|
---|
1796 | addx6171 add '0.4444444444444444' '0.5555555555555562' -> '1.000000000000001' Inexact Rounded
|
---|
1797 | addx6172 add '0.4444444444444444' '0.5555555555555561' -> '1.000000000000000' Inexact Rounded
|
---|
1798 | addx6173 add '0.4444444444444444' '0.5555555555555560' -> '1.000000000000000' Inexact Rounded
|
---|
1799 | addx6174 add '0.4444444444444444' '0.5555555555555559' -> '1.000000000000000' Inexact Rounded
|
---|
1800 | addx6175 add '0.4444444444444444' '0.5555555555555558' -> '1.000000000000000' Inexact Rounded
|
---|
1801 | addx6176 add '0.4444444444444444' '0.5555555555555557' -> '1.000000000000000' Inexact Rounded
|
---|
1802 | addx6177 add '0.4444444444444444' '0.5555555555555556' -> '1.000000000000000' Rounded
|
---|
1803 | addx6178 add '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999'
|
---|
1804 | addx6179 add '0.4444444444444444' '0.5555555555555554' -> '0.9999999999999998'
|
---|
1805 | addx6180 add '0.4444444444444444' '0.5555555555555553' -> '0.9999999999999997'
|
---|
1806 | addx6181 add '0.4444444444444444' '0.5555555555555552' -> '0.9999999999999996'
|
---|
1807 | addx6182 add '0.4444444444444444' '0.5555555555555551' -> '0.9999999999999995'
|
---|
1808 | addx6183 add '0.4444444444444444' '0.5555555555555550' -> '0.9999999999999994'
|
---|
1809 |
|
---|
1810 | -- and some more, including residue effects and different roundings
|
---|
1811 | rounding: half_up
|
---|
1812 | addx6200 add '6543210123456789' 0 -> '6543210123456789'
|
---|
1813 | addx6201 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
|
---|
1814 | addx6202 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
|
---|
1815 | addx6203 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
|
---|
1816 | addx6204 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
|
---|
1817 | addx6205 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
|
---|
1818 | addx6206 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
|
---|
1819 | addx6207 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
|
---|
1820 | addx6208 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
|
---|
1821 | addx6209 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
|
---|
1822 | addx6210 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
|
---|
1823 | addx6211 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
|
---|
1824 | addx6212 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
|
---|
1825 | addx6213 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
|
---|
1826 | addx6214 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
|
---|
1827 | addx6215 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
|
---|
1828 | addx6216 add '6543210123456789' 1 -> '6543210123456790'
|
---|
1829 | addx6217 add '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded
|
---|
1830 | addx6218 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
|
---|
1831 | addx6219 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
|
---|
1832 |
|
---|
1833 | rounding: half_even
|
---|
1834 | addx6220 add '6543210123456789' 0 -> '6543210123456789'
|
---|
1835 | addx6221 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
|
---|
1836 | addx6222 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
|
---|
1837 | addx6223 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
|
---|
1838 | addx6224 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
|
---|
1839 | addx6225 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
|
---|
1840 | addx6226 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
|
---|
1841 | addx6227 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
|
---|
1842 | addx6228 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
|
---|
1843 | addx6229 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
|
---|
1844 | addx6230 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
|
---|
1845 | addx6231 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
|
---|
1846 | addx6232 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
|
---|
1847 | addx6233 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
|
---|
1848 | addx6234 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
|
---|
1849 | addx6235 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
|
---|
1850 | addx6236 add '6543210123456789' 1 -> '6543210123456790'
|
---|
1851 | addx6237 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
|
---|
1852 | addx6238 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
|
---|
1853 | addx6239 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
|
---|
1854 | -- critical few with even bottom digit...
|
---|
1855 | addx6240 add '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded
|
---|
1856 | addx6241 add '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded
|
---|
1857 | addx6242 add '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded
|
---|
1858 |
|
---|
1859 | rounding: down
|
---|
1860 | addx6250 add '6543210123456789' 0 -> '6543210123456789'
|
---|
1861 | addx6251 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
|
---|
1862 | addx6252 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
|
---|
1863 | addx6253 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
|
---|
1864 | addx6254 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
|
---|
1865 | addx6255 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
|
---|
1866 | addx6256 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
|
---|
1867 | addx6257 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
|
---|
1868 | addx6258 add '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded
|
---|
1869 | addx6259 add '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded
|
---|
1870 | addx6260 add '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded
|
---|
1871 | addx6261 add '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded
|
---|
1872 | addx6262 add '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded
|
---|
1873 | addx6263 add '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded
|
---|
1874 | addx6264 add '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded
|
---|
1875 | addx6265 add '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded
|
---|
1876 | addx6266 add '6543210123456789' 1 -> '6543210123456790'
|
---|
1877 | addx6267 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
|
---|
1878 | addx6268 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
|
---|
1879 | addx6269 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
|
---|
1880 |
|
---|
1881 | -- 1 in last place tests
|
---|
1882 | rounding: half_even
|
---|
1883 | addx6301 add -1 1 -> 0
|
---|
1884 | addx6302 add 0 1 -> 1
|
---|
1885 | addx6303 add 1 1 -> 2
|
---|
1886 | addx6304 add 12 1 -> 13
|
---|
1887 | addx6305 add 98 1 -> 99
|
---|
1888 | addx6306 add 99 1 -> 100
|
---|
1889 | addx6307 add 100 1 -> 101
|
---|
1890 | addx6308 add 101 1 -> 102
|
---|
1891 | addx6309 add -1 -1 -> -2
|
---|
1892 | addx6310 add 0 -1 -> -1
|
---|
1893 | addx6311 add 1 -1 -> 0
|
---|
1894 | addx6312 add 12 -1 -> 11
|
---|
1895 | addx6313 add 98 -1 -> 97
|
---|
1896 | addx6314 add 99 -1 -> 98
|
---|
1897 | addx6315 add 100 -1 -> 99
|
---|
1898 | addx6316 add 101 -1 -> 100
|
---|
1899 |
|
---|
1900 | addx6321 add -0.01 0.01 -> 0.00
|
---|
1901 | addx6322 add 0.00 0.01 -> 0.01
|
---|
1902 | addx6323 add 0.01 0.01 -> 0.02
|
---|
1903 | addx6324 add 0.12 0.01 -> 0.13
|
---|
1904 | addx6325 add 0.98 0.01 -> 0.99
|
---|
1905 | addx6326 add 0.99 0.01 -> 1.00
|
---|
1906 | addx6327 add 1.00 0.01 -> 1.01
|
---|
1907 | addx6328 add 1.01 0.01 -> 1.02
|
---|
1908 | addx6329 add -0.01 -0.01 -> -0.02
|
---|
1909 | addx6330 add 0.00 -0.01 -> -0.01
|
---|
1910 | addx6331 add 0.01 -0.01 -> 0.00
|
---|
1911 | addx6332 add 0.12 -0.01 -> 0.11
|
---|
1912 | addx6333 add 0.98 -0.01 -> 0.97
|
---|
1913 | addx6334 add 0.99 -0.01 -> 0.98
|
---|
1914 | addx6335 add 1.00 -0.01 -> 0.99
|
---|
1915 | addx6336 add 1.01 -0.01 -> 1.00
|
---|
1916 |
|
---|
1917 | -- some more cases where adding 0 affects the coefficient
|
---|
1918 | addx6340 add 1E+3 0 -> 1000
|
---|
1919 | addx6341 add 1E+15 0 -> 1000000000000000
|
---|
1920 | addx6342 add 1E+16 0 -> 1.000000000000000E+16 Rounded
|
---|
1921 | addx6343 add 1E+17 0 -> 1.000000000000000E+17 Rounded
|
---|
1922 | -- which simply follow from these cases ...
|
---|
1923 | addx6344 add 1E+3 1 -> 1001
|
---|
1924 | addx6345 add 1E+15 1 -> 1000000000000001
|
---|
1925 | addx6346 add 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded
|
---|
1926 | addx6347 add 1E+17 1 -> 1.000000000000000E+17 Inexact Rounded
|
---|
1927 | addx6348 add 1E+3 7 -> 1007
|
---|
1928 | addx6349 add 1E+15 7 -> 1000000000000007
|
---|
1929 | addx6350 add 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded
|
---|
1930 | addx6351 add 1E+17 7 -> 1.000000000000000E+17 Inexact Rounded
|
---|
1931 |
|
---|
1932 | -- tryzeros cases
|
---|
1933 | addx6361 add 0E+50 10000E+1 -> 1.0000E+5
|
---|
1934 | addx6362 add 10000E+1 0E-50 -> 100000.0000000000 Rounded
|
---|
1935 | addx6363 add 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact
|
---|
1936 | addx6364 add 12.34 0e-398 -> 12.34000000000000 Rounded
|
---|
1937 |
|
---|
1938 | -- ulp replacement tests
|
---|
1939 | addx6400 add 1 77e-14 -> 1.00000000000077
|
---|
1940 | addx6401 add 1 77e-15 -> 1.000000000000077
|
---|
1941 | addx6402 add 1 77e-16 -> 1.000000000000008 Inexact Rounded
|
---|
1942 | addx6403 add 1 77e-17 -> 1.000000000000001 Inexact Rounded
|
---|
1943 | addx6404 add 1 77e-18 -> 1.000000000000000 Inexact Rounded
|
---|
1944 | addx6405 add 1 77e-19 -> 1.000000000000000 Inexact Rounded
|
---|
1945 | addx6406 add 1 77e-99 -> 1.000000000000000 Inexact Rounded
|
---|
1946 |
|
---|
1947 | addx6410 add 10 77e-14 -> 10.00000000000077
|
---|
1948 | addx6411 add 10 77e-15 -> 10.00000000000008 Inexact Rounded
|
---|
1949 | addx6412 add 10 77e-16 -> 10.00000000000001 Inexact Rounded
|
---|
1950 | addx6413 add 10 77e-17 -> 10.00000000000000 Inexact Rounded
|
---|
1951 | addx6414 add 10 77e-18 -> 10.00000000000000 Inexact Rounded
|
---|
1952 | addx6415 add 10 77e-19 -> 10.00000000000000 Inexact Rounded
|
---|
1953 | addx6416 add 10 77e-99 -> 10.00000000000000 Inexact Rounded
|
---|
1954 |
|
---|
1955 | addx6420 add 77e-14 1 -> 1.00000000000077
|
---|
1956 | addx6421 add 77e-15 1 -> 1.000000000000077
|
---|
1957 | addx6422 add 77e-16 1 -> 1.000000000000008 Inexact Rounded
|
---|
1958 | addx6423 add 77e-17 1 -> 1.000000000000001 Inexact Rounded
|
---|
1959 | addx6424 add 77e-18 1 -> 1.000000000000000 Inexact Rounded
|
---|
1960 | addx6425 add 77e-19 1 -> 1.000000000000000 Inexact Rounded
|
---|
1961 | addx6426 add 77e-99 1 -> 1.000000000000000 Inexact Rounded
|
---|
1962 |
|
---|
1963 | addx6430 add 77e-14 10 -> 10.00000000000077
|
---|
1964 | addx6431 add 77e-15 10 -> 10.00000000000008 Inexact Rounded
|
---|
1965 | addx6432 add 77e-16 10 -> 10.00000000000001 Inexact Rounded
|
---|
1966 | addx6433 add 77e-17 10 -> 10.00000000000000 Inexact Rounded
|
---|
1967 | addx6434 add 77e-18 10 -> 10.00000000000000 Inexact Rounded
|
---|
1968 | addx6435 add 77e-19 10 -> 10.00000000000000 Inexact Rounded
|
---|
1969 | addx6436 add 77e-99 10 -> 10.00000000000000 Inexact Rounded
|
---|
1970 |
|
---|
1971 | -- negative ulps
|
---|
1972 | addx6440 add 1 -77e-14 -> 0.99999999999923
|
---|
1973 | addx6441 add 1 -77e-15 -> 0.999999999999923
|
---|
1974 | addx6442 add 1 -77e-16 -> 0.9999999999999923
|
---|
1975 | addx6443 add 1 -77e-17 -> 0.9999999999999992 Inexact Rounded
|
---|
1976 | addx6444 add 1 -77e-18 -> 0.9999999999999999 Inexact Rounded
|
---|
1977 | addx6445 add 1 -77e-19 -> 1.000000000000000 Inexact Rounded
|
---|
1978 | addx6446 add 1 -77e-99 -> 1.000000000000000 Inexact Rounded
|
---|
1979 |
|
---|
1980 | addx6450 add 10 -77e-14 -> 9.99999999999923
|
---|
1981 | addx6451 add 10 -77e-15 -> 9.999999999999923
|
---|
1982 | addx6452 add 10 -77e-16 -> 9.999999999999992 Inexact Rounded
|
---|
1983 | addx6453 add 10 -77e-17 -> 9.999999999999999 Inexact Rounded
|
---|
1984 | addx6454 add 10 -77e-18 -> 10.00000000000000 Inexact Rounded
|
---|
1985 | addx6455 add 10 -77e-19 -> 10.00000000000000 Inexact Rounded
|
---|
1986 | addx6456 add 10 -77e-99 -> 10.00000000000000 Inexact Rounded
|
---|
1987 |
|
---|
1988 | addx6460 add -77e-14 1 -> 0.99999999999923
|
---|
1989 | addx6461 add -77e-15 1 -> 0.999999999999923
|
---|
1990 | addx6462 add -77e-16 1 -> 0.9999999999999923
|
---|
1991 | addx6463 add -77e-17 1 -> 0.9999999999999992 Inexact Rounded
|
---|
1992 | addx6464 add -77e-18 1 -> 0.9999999999999999 Inexact Rounded
|
---|
1993 | addx6465 add -77e-19 1 -> 1.000000000000000 Inexact Rounded
|
---|
1994 | addx6466 add -77e-99 1 -> 1.000000000000000 Inexact Rounded
|
---|
1995 |
|
---|
1996 | addx6470 add -77e-14 10 -> 9.99999999999923
|
---|
1997 | addx6471 add -77e-15 10 -> 9.999999999999923
|
---|
1998 | addx6472 add -77e-16 10 -> 9.999999999999992 Inexact Rounded
|
---|
1999 | addx6473 add -77e-17 10 -> 9.999999999999999 Inexact Rounded
|
---|
2000 | addx6474 add -77e-18 10 -> 10.00000000000000 Inexact Rounded
|
---|
2001 | addx6475 add -77e-19 10 -> 10.00000000000000 Inexact Rounded
|
---|
2002 | addx6476 add -77e-99 10 -> 10.00000000000000 Inexact Rounded
|
---|
2003 |
|
---|
2004 | -- negative ulps
|
---|
2005 | addx6480 add -1 77e-14 -> -0.99999999999923
|
---|
2006 | addx6481 add -1 77e-15 -> -0.999999999999923
|
---|
2007 | addx6482 add -1 77e-16 -> -0.9999999999999923
|
---|
2008 | addx6483 add -1 77e-17 -> -0.9999999999999992 Inexact Rounded
|
---|
2009 | addx6484 add -1 77e-18 -> -0.9999999999999999 Inexact Rounded
|
---|
2010 | addx6485 add -1 77e-19 -> -1.000000000000000 Inexact Rounded
|
---|
2011 | addx6486 add -1 77e-99 -> -1.000000000000000 Inexact Rounded
|
---|
2012 |
|
---|
2013 | addx6490 add -10 77e-14 -> -9.99999999999923
|
---|
2014 | addx6491 add -10 77e-15 -> -9.999999999999923
|
---|
2015 | addx6492 add -10 77e-16 -> -9.999999999999992 Inexact Rounded
|
---|
2016 | addx6493 add -10 77e-17 -> -9.999999999999999 Inexact Rounded
|
---|
2017 | addx6494 add -10 77e-18 -> -10.00000000000000 Inexact Rounded
|
---|
2018 | addx6495 add -10 77e-19 -> -10.00000000000000 Inexact Rounded
|
---|
2019 | addx6496 add -10 77e-99 -> -10.00000000000000 Inexact Rounded
|
---|
2020 |
|
---|
2021 | addx6500 add 77e-14 -1 -> -0.99999999999923
|
---|
2022 | addx6501 add 77e-15 -1 -> -0.999999999999923
|
---|
2023 | addx6502 add 77e-16 -1 -> -0.9999999999999923
|
---|
2024 | addx6503 add 77e-17 -1 -> -0.9999999999999992 Inexact Rounded
|
---|
2025 | addx6504 add 77e-18 -1 -> -0.9999999999999999 Inexact Rounded
|
---|
2026 | addx6505 add 77e-19 -1 -> -1.000000000000000 Inexact Rounded
|
---|
2027 | addx6506 add 77e-99 -1 -> -1.000000000000000 Inexact Rounded
|
---|
2028 |
|
---|
2029 | addx6510 add 77e-14 -10 -> -9.99999999999923
|
---|
2030 | addx6511 add 77e-15 -10 -> -9.999999999999923
|
---|
2031 | addx6512 add 77e-16 -10 -> -9.999999999999992 Inexact Rounded
|
---|
2032 | addx6513 add 77e-17 -10 -> -9.999999999999999 Inexact Rounded
|
---|
2033 | addx6514 add 77e-18 -10 -> -10.00000000000000 Inexact Rounded
|
---|
2034 | addx6515 add 77e-19 -10 -> -10.00000000000000 Inexact Rounded
|
---|
2035 | addx6516 add 77e-99 -10 -> -10.00000000000000 Inexact Rounded
|
---|
2036 |
|
---|
2037 |
|
---|
2038 | -- long operands
|
---|
2039 | addx6521 add 101234562345678000 0 -> 1.012345623456780E+17 Rounded
|
---|
2040 | addx6522 add 0 101234562345678000 -> 1.012345623456780E+17 Rounded
|
---|
2041 | addx6523 add 10123456234567800 0 -> 1.012345623456780E+16 Rounded
|
---|
2042 | addx6524 add 0 10123456234567800 -> 1.012345623456780E+16 Rounded
|
---|
2043 | addx6525 add 10123456234567890 0 -> 1.012345623456789E+16 Rounded
|
---|
2044 | addx6526 add 0 10123456234567890 -> 1.012345623456789E+16 Rounded
|
---|
2045 | addx6527 add 10123456234567891 0 -> 1.012345623456789E+16 Inexact Rounded
|
---|
2046 | addx6528 add 0 10123456234567891 -> 1.012345623456789E+16 Inexact Rounded
|
---|
2047 | addx6529 add 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded
|
---|
2048 | addx6530 add 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded
|
---|
2049 | addx6531 add 10123456234567896 0 -> 1.012345623456790E+16 Inexact Rounded
|
---|
2050 | addx6532 add 0 10123456234567896 -> 1.012345623456790E+16 Inexact Rounded
|
---|
2051 |
|
---|
2052 | -- verify a query
|
---|
2053 | rounding: down
|
---|
2054 | addx6561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
|
---|
2055 | addx6562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
|
---|
2056 | -- and using decimal64 bounds...
|
---|
2057 | rounding: down
|
---|
2058 | addx6563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
|
---|
2059 | addx6564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
|
---|
2060 |
|
---|
2061 | -- more zeros, etc.
|
---|
2062 | rounding: half_even
|
---|
2063 |
|
---|
2064 | addx6701 add 5.00 1.00E-3 -> 5.00100
|
---|
2065 | addx6702 add 00.00 0.000 -> 0.000
|
---|
2066 | addx6703 add 00.00 0E-3 -> 0.000
|
---|
2067 | addx6704 add 0E-3 00.00 -> 0.000
|
---|
2068 |
|
---|
2069 | addx6710 add 0E+3 00.00 -> 0.00
|
---|
2070 | addx6711 add 0E+3 00.0 -> 0.0
|
---|
2071 | addx6712 add 0E+3 00. -> 0
|
---|
2072 | addx6713 add 0E+3 00.E+1 -> 0E+1
|
---|
2073 | addx6714 add 0E+3 00.E+2 -> 0E+2
|
---|
2074 | addx6715 add 0E+3 00.E+3 -> 0E+3
|
---|
2075 | addx6716 add 0E+3 00.E+4 -> 0E+3
|
---|
2076 | addx6717 add 0E+3 00.E+5 -> 0E+3
|
---|
2077 | addx6718 add 0E+3 -00.0 -> 0.0
|
---|
2078 | addx6719 add 0E+3 -00. -> 0
|
---|
2079 | addx6731 add 0E+3 -00.E+1 -> 0E+1
|
---|
2080 |
|
---|
2081 | addx6720 add 00.00 0E+3 -> 0.00
|
---|
2082 | addx6721 add 00.0 0E+3 -> 0.0
|
---|
2083 | addx6722 add 00. 0E+3 -> 0
|
---|
2084 | addx6723 add 00.E+1 0E+3 -> 0E+1
|
---|
2085 | addx6724 add 00.E+2 0E+3 -> 0E+2
|
---|
2086 | addx6725 add 00.E+3 0E+3 -> 0E+3
|
---|
2087 | addx6726 add 00.E+4 0E+3 -> 0E+3
|
---|
2088 | addx6727 add 00.E+5 0E+3 -> 0E+3
|
---|
2089 | addx6728 add -00.00 0E+3 -> 0.00
|
---|
2090 | addx6729 add -00.0 0E+3 -> 0.0
|
---|
2091 | addx6730 add -00. 0E+3 -> 0
|
---|
2092 |
|
---|
2093 | addx6732 add 0 0 -> 0
|
---|
2094 | addx6733 add 0 -0 -> 0
|
---|
2095 | addx6734 add -0 0 -> 0
|
---|
2096 | addx6735 add -0 -0 -> -0 -- IEEE 854 special case
|
---|
2097 |
|
---|
2098 | addx6736 add 1 -1 -> 0
|
---|
2099 | addx6737 add -1 -1 -> -2
|
---|
2100 | addx6738 add 1 1 -> 2
|
---|
2101 | addx6739 add -1 1 -> 0
|
---|
2102 |
|
---|
2103 | addx6741 add 0 -1 -> -1
|
---|
2104 | addx6742 add -0 -1 -> -1
|
---|
2105 | addx6743 add 0 1 -> 1
|
---|
2106 | addx6744 add -0 1 -> 1
|
---|
2107 | addx6745 add -1 0 -> -1
|
---|
2108 | addx6746 add -1 -0 -> -1
|
---|
2109 | addx6747 add 1 0 -> 1
|
---|
2110 | addx6748 add 1 -0 -> 1
|
---|
2111 |
|
---|
2112 | addx6751 add 0.0 -1 -> -1.0
|
---|
2113 | addx6752 add -0.0 -1 -> -1.0
|
---|
2114 | addx6753 add 0.0 1 -> 1.0
|
---|
2115 | addx6754 add -0.0 1 -> 1.0
|
---|
2116 | addx6755 add -1.0 0 -> -1.0
|
---|
2117 | addx6756 add -1.0 -0 -> -1.0
|
---|
2118 | addx6757 add 1.0 0 -> 1.0
|
---|
2119 | addx6758 add 1.0 -0 -> 1.0
|
---|
2120 |
|
---|
2121 | addx6761 add 0 -1.0 -> -1.0
|
---|
2122 | addx6762 add -0 -1.0 -> -1.0
|
---|
2123 | addx6763 add 0 1.0 -> 1.0
|
---|
2124 | addx6764 add -0 1.0 -> 1.0
|
---|
2125 | addx6765 add -1 0.0 -> -1.0
|
---|
2126 | addx6766 add -1 -0.0 -> -1.0
|
---|
2127 | addx6767 add 1 0.0 -> 1.0
|
---|
2128 | addx6768 add 1 -0.0 -> 1.0
|
---|
2129 |
|
---|
2130 | addx6771 add 0.0 -1.0 -> -1.0
|
---|
2131 | addx6772 add -0.0 -1.0 -> -1.0
|
---|
2132 | addx6773 add 0.0 1.0 -> 1.0
|
---|
2133 | addx6774 add -0.0 1.0 -> 1.0
|
---|
2134 | addx6775 add -1.0 0.0 -> -1.0
|
---|
2135 | addx6776 add -1.0 -0.0 -> -1.0
|
---|
2136 | addx6777 add 1.0 0.0 -> 1.0
|
---|
2137 | addx6778 add 1.0 -0.0 -> 1.0
|
---|
2138 |
|
---|
2139 | -- Specials
|
---|
2140 | addx6780 add -Inf -Inf -> -Infinity
|
---|
2141 | addx6781 add -Inf -1000 -> -Infinity
|
---|
2142 | addx6782 add -Inf -1 -> -Infinity
|
---|
2143 | addx6783 add -Inf -0 -> -Infinity
|
---|
2144 | addx6784 add -Inf 0 -> -Infinity
|
---|
2145 | addx6785 add -Inf 1 -> -Infinity
|
---|
2146 | addx6786 add -Inf 1000 -> -Infinity
|
---|
2147 | addx6787 add -1000 -Inf -> -Infinity
|
---|
2148 | addx6788 add -Inf -Inf -> -Infinity
|
---|
2149 | addx6789 add -1 -Inf -> -Infinity
|
---|
2150 | addx6790 add -0 -Inf -> -Infinity
|
---|
2151 | addx6791 add 0 -Inf -> -Infinity
|
---|
2152 | addx6792 add 1 -Inf -> -Infinity
|
---|
2153 | addx6793 add 1000 -Inf -> -Infinity
|
---|
2154 | addx6794 add Inf -Inf -> NaN Invalid_operation
|
---|
2155 |
|
---|
2156 | addx6800 add Inf -Inf -> NaN Invalid_operation
|
---|
2157 | addx6801 add Inf -1000 -> Infinity
|
---|
2158 | addx6802 add Inf -1 -> Infinity
|
---|
2159 | addx6803 add Inf -0 -> Infinity
|
---|
2160 | addx6804 add Inf 0 -> Infinity
|
---|
2161 | addx6805 add Inf 1 -> Infinity
|
---|
2162 | addx6806 add Inf 1000 -> Infinity
|
---|
2163 | addx6807 add Inf Inf -> Infinity
|
---|
2164 | addx6808 add -1000 Inf -> Infinity
|
---|
2165 | addx6809 add -Inf Inf -> NaN Invalid_operation
|
---|
2166 | addx6810 add -1 Inf -> Infinity
|
---|
2167 | addx6811 add -0 Inf -> Infinity
|
---|
2168 | addx6812 add 0 Inf -> Infinity
|
---|
2169 | addx6813 add 1 Inf -> Infinity
|
---|
2170 | addx6814 add 1000 Inf -> Infinity
|
---|
2171 | addx6815 add Inf Inf -> Infinity
|
---|
2172 |
|
---|
2173 | addx6821 add NaN -Inf -> NaN
|
---|
2174 | addx6822 add NaN -1000 -> NaN
|
---|
2175 | addx6823 add NaN -1 -> NaN
|
---|
2176 | addx6824 add NaN -0 -> NaN
|
---|
2177 | addx6825 add NaN 0 -> NaN
|
---|
2178 | addx6826 add NaN 1 -> NaN
|
---|
2179 | addx6827 add NaN 1000 -> NaN
|
---|
2180 | addx6828 add NaN Inf -> NaN
|
---|
2181 | addx6829 add NaN NaN -> NaN
|
---|
2182 | addx6830 add -Inf NaN -> NaN
|
---|
2183 | addx6831 add -1000 NaN -> NaN
|
---|
2184 | addx6832 add -1 NaN -> NaN
|
---|
2185 | addx6833 add -0 NaN -> NaN
|
---|
2186 | addx6834 add 0 NaN -> NaN
|
---|
2187 | addx6835 add 1 NaN -> NaN
|
---|
2188 | addx6836 add 1000 NaN -> NaN
|
---|
2189 | addx6837 add Inf NaN -> NaN
|
---|
2190 |
|
---|
2191 | addx6841 add sNaN -Inf -> NaN Invalid_operation
|
---|
2192 | addx6842 add sNaN -1000 -> NaN Invalid_operation
|
---|
2193 | addx6843 add sNaN -1 -> NaN Invalid_operation
|
---|
2194 | addx6844 add sNaN -0 -> NaN Invalid_operation
|
---|
2195 | addx6845 add sNaN 0 -> NaN Invalid_operation
|
---|
2196 | addx6846 add sNaN 1 -> NaN Invalid_operation
|
---|
2197 | addx6847 add sNaN 1000 -> NaN Invalid_operation
|
---|
2198 | addx6848 add sNaN NaN -> NaN Invalid_operation
|
---|
2199 | addx6849 add sNaN sNaN -> NaN Invalid_operation
|
---|
2200 | addx6850 add NaN sNaN -> NaN Invalid_operation
|
---|
2201 | addx6851 add -Inf sNaN -> NaN Invalid_operation
|
---|
2202 | addx6852 add -1000 sNaN -> NaN Invalid_operation
|
---|
2203 | addx6853 add -1 sNaN -> NaN Invalid_operation
|
---|
2204 | addx6854 add -0 sNaN -> NaN Invalid_operation
|
---|
2205 | addx6855 add 0 sNaN -> NaN Invalid_operation
|
---|
2206 | addx6856 add 1 sNaN -> NaN Invalid_operation
|
---|
2207 | addx6857 add 1000 sNaN -> NaN Invalid_operation
|
---|
2208 | addx6858 add Inf sNaN -> NaN Invalid_operation
|
---|
2209 | addx6859 add NaN sNaN -> NaN Invalid_operation
|
---|
2210 |
|
---|
2211 | -- propagating NaNs
|
---|
2212 | addx6861 add NaN1 -Inf -> NaN1
|
---|
2213 | addx6862 add +NaN2 -1000 -> NaN2
|
---|
2214 | addx6863 add NaN3 1000 -> NaN3
|
---|
2215 | addx6864 add NaN4 Inf -> NaN4
|
---|
2216 | addx6865 add NaN5 +NaN6 -> NaN5
|
---|
2217 | addx6866 add -Inf NaN7 -> NaN7
|
---|
2218 | addx6867 add -1000 NaN8 -> NaN8
|
---|
2219 | addx6868 add 1000 NaN9 -> NaN9
|
---|
2220 | addx6869 add Inf +NaN10 -> NaN10
|
---|
2221 | addx6871 add sNaN11 -Inf -> NaN11 Invalid_operation
|
---|
2222 | addx6872 add sNaN12 -1000 -> NaN12 Invalid_operation
|
---|
2223 | addx6873 add sNaN13 1000 -> NaN13 Invalid_operation
|
---|
2224 | addx6874 add sNaN14 NaN17 -> NaN14 Invalid_operation
|
---|
2225 | addx6875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
|
---|
2226 | addx6876 add NaN16 sNaN19 -> NaN19 Invalid_operation
|
---|
2227 | addx6877 add -Inf +sNaN20 -> NaN20 Invalid_operation
|
---|
2228 | addx6878 add -1000 sNaN21 -> NaN21 Invalid_operation
|
---|
2229 | addx6879 add 1000 sNaN22 -> NaN22 Invalid_operation
|
---|
2230 | addx6880 add Inf sNaN23 -> NaN23 Invalid_operation
|
---|
2231 | addx6881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
|
---|
2232 | addx6882 add -NaN26 NaN28 -> -NaN26
|
---|
2233 | addx6883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
|
---|
2234 | addx6884 add 1000 -NaN30 -> -NaN30
|
---|
2235 | addx6885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
|
---|
2236 |
|
---|
2237 | -- now the case where we can get underflow but the result is normal
|
---|
2238 | -- [note this can't happen if the operands are also bounded, as we
|
---|
2239 | -- cannot represent 1E-399, for example]
|
---|
2240 |
|
---|
2241 | addx6571 add 1E-383 0 -> 1E-383
|
---|
2242 | addx6572 add 1E-384 0 -> 1E-384 Subnormal
|
---|
2243 | addx6573 add 1E-383 1E-384 -> 1.1E-383
|
---|
2244 | addx6574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
|
---|
2245 |
|
---|
2246 | -- Here we explore the boundary of rounding a subnormal to Nmin
|
---|
2247 | addx6575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
|
---|
2248 | addx6576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
|
---|
2249 | addx6577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
---|
2250 | addx6578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
---|
2251 | addx6579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
---|
2252 | addx6580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
---|
2253 |
|
---|
2254 | -- check overflow edge case
|
---|
2255 | -- 1234567890123456
|
---|
2256 | addx6972 apply 9.999999999999999E+384 -> 9.999999999999999E+384
|
---|
2257 | addx6973 add 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded
|
---|
2258 | addx6974 add 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded
|
---|
2259 | addx6975 add 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded
|
---|
2260 | addx6976 add 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded
|
---|
2261 | addx6977 add 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded
|
---|
2262 | addx6978 add 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded
|
---|
2263 | addx6979 add 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded
|
---|
2264 | addx6980 add 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded
|
---|
2265 | addx6981 add 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded
|
---|
2266 | addx6982 add 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded
|
---|
2267 | addx6983 add 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded
|
---|
2268 | addx6984 add 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded
|
---|
2269 |
|
---|
2270 | addx6985 apply -9.999999999999999E+384 -> -9.999999999999999E+384
|
---|
2271 | addx6986 add -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded
|
---|
2272 | addx6987 add -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded
|
---|
2273 | addx6988 add -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded
|
---|
2274 | addx6989 add -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded
|
---|
2275 | addx6990 add -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded
|
---|
2276 | addx6991 add -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded
|
---|
2277 | addx6992 add -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded
|
---|
2278 | addx6993 add -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded
|
---|
2279 | addx6994 add -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded
|
---|
2280 | addx6995 add -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded
|
---|
2281 | addx6996 add -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded
|
---|
2282 | addx6997 add -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded
|
---|
2283 |
|
---|
2284 | -- And for round down full and subnormal results
|
---|
2285 | rounding: down
|
---|
2286 | addx61100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
|
---|
2287 | addx61101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
|
---|
2288 | addx61103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
|
---|
2289 | addx61104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
|
---|
2290 | addx61105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
|
---|
2291 | addx61106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
|
---|
2292 | addx61107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
|
---|
2293 | addx61108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
|
---|
2294 | addx61109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
|
---|
2295 |
|
---|
2296 | rounding: ceiling
|
---|
2297 | addx61110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
|
---|
2298 | addx61111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
|
---|
2299 | addx61113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
|
---|
2300 | addx61114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
|
---|
2301 | addx61115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
|
---|
2302 | addx61116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
|
---|
2303 | addx61117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
|
---|
2304 | addx61118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
|
---|
2305 | addx61119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
|
---|
2306 |
|
---|
2307 | -- tests based on Gunnar Degnbol's edge case
|
---|
2308 | rounding: half_even
|
---|
2309 |
|
---|
2310 | addx61300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2311 | addx61310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded
|
---|
2312 | addx61311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded
|
---|
2313 | addx61312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
|
---|
2314 | addx61313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
|
---|
2315 | addx61314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
|
---|
2316 | addx61315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
|
---|
2317 | addx61316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
|
---|
2318 | addx61317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
|
---|
2319 | addx61318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
|
---|
2320 | addx61319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
|
---|
2321 | addx61320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
|
---|
2322 | addx61321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
|
---|
2323 | addx61322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
|
---|
2324 | addx61323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
|
---|
2325 | addx61324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
|
---|
2326 | addx61325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2327 | addx61326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2328 | addx61327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2329 | addx61328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2330 | addx61329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2331 | addx61330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2332 | addx61331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2333 | addx61332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2334 | addx61333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2335 | addx61334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2336 | addx61335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2337 | addx61336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2338 | addx61337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2339 | addx61338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2340 | addx61339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2341 |
|
---|
2342 | addx61340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
|
---|
2343 | addx61341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
|
---|
2344 |
|
---|
2345 | addx61349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
|
---|
2346 | addx61350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
|
---|
2347 | addx61351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
|
---|
2348 | addx61352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
|
---|
2349 | addx61353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
|
---|
2350 | addx61354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
|
---|
2351 | addx61355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
|
---|
2352 | addx61356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
|
---|
2353 | addx61357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
|
---|
2354 | addx61358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
|
---|
2355 | addx61359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
|
---|
2356 | addx61360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
|
---|
2357 | addx61361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
|
---|
2358 | addx61362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
|
---|
2359 | addx61363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
|
---|
2360 | addx61364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
|
---|
2361 | addx61365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2362 | addx61367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2363 | addx61368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2364 | addx61369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2365 | addx61370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2366 | addx61371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2367 | addx61372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2368 | addx61373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2369 | addx61374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2370 | addx61375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2371 | addx61376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2372 | addx61377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2373 | addx61378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2374 | addx61379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2375 | addx61380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2376 | addx61381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2377 | addx61382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2378 | addx61383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2379 | addx61384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2380 | addx61385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2381 | addx61386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2382 | addx61387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2383 | addx61388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2384 | addx61389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2385 | addx61390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2386 | addx61391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2387 | addx61392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2388 | addx61393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2389 | addx61394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2390 | addx61395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2391 | addx61396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
|
---|
2392 |
|
---|
2393 | -- More GD edge cases, where difference between the unadjusted
|
---|
2394 | -- exponents is larger than the maximum precision and one side is 0
|
---|
2395 | addx61420 add 0 1.123456789012345 -> 1.123456789012345
|
---|
2396 | addx61421 add 0 1.123456789012345E-1 -> 0.1123456789012345
|
---|
2397 | addx61422 add 0 1.123456789012345E-2 -> 0.01123456789012345
|
---|
2398 | addx61423 add 0 1.123456789012345E-3 -> 0.001123456789012345
|
---|
2399 | addx61424 add 0 1.123456789012345E-4 -> 0.0001123456789012345
|
---|
2400 | addx61425 add 0 1.123456789012345E-5 -> 0.00001123456789012345
|
---|
2401 | addx61426 add 0 1.123456789012345E-6 -> 0.000001123456789012345
|
---|
2402 | addx61427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7
|
---|
2403 | addx61428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8
|
---|
2404 | addx61429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9
|
---|
2405 | addx61430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10
|
---|
2406 | addx61431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11
|
---|
2407 | addx61432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12
|
---|
2408 | addx61433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13
|
---|
2409 | addx61434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14
|
---|
2410 | addx61435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15
|
---|
2411 | addx61436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16
|
---|
2412 | addx61437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17
|
---|
2413 | addx61438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18
|
---|
2414 | addx61439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19
|
---|
2415 |
|
---|
2416 | -- same, reversed 0
|
---|
2417 | addx61440 add 1.123456789012345 0 -> 1.123456789012345
|
---|
2418 | addx61441 add 1.123456789012345E-1 0 -> 0.1123456789012345
|
---|
2419 | addx61442 add 1.123456789012345E-2 0 -> 0.01123456789012345
|
---|
2420 | addx61443 add 1.123456789012345E-3 0 -> 0.001123456789012345
|
---|
2421 | addx61444 add 1.123456789012345E-4 0 -> 0.0001123456789012345
|
---|
2422 | addx61445 add 1.123456789012345E-5 0 -> 0.00001123456789012345
|
---|
2423 | addx61446 add 1.123456789012345E-6 0 -> 0.000001123456789012345
|
---|
2424 | addx61447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7
|
---|
2425 | addx61448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8
|
---|
2426 | addx61449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9
|
---|
2427 | addx61450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10
|
---|
2428 | addx61451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11
|
---|
2429 | addx61452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12
|
---|
2430 | addx61453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13
|
---|
2431 | addx61454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14
|
---|
2432 | addx61455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15
|
---|
2433 | addx61456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16
|
---|
2434 | addx61457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17
|
---|
2435 | addx61458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18
|
---|
2436 | addx61459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19
|
---|
2437 |
|
---|
2438 | -- same, Es on the 0
|
---|
2439 | addx61460 add 1.123456789012345 0E-0 -> 1.123456789012345
|
---|
2440 | addx61461 add 1.123456789012345 0E-1 -> 1.123456789012345
|
---|
2441 | addx61462 add 1.123456789012345 0E-2 -> 1.123456789012345
|
---|
2442 | addx61463 add 1.123456789012345 0E-3 -> 1.123456789012345
|
---|
2443 | addx61464 add 1.123456789012345 0E-4 -> 1.123456789012345
|
---|
2444 | addx61465 add 1.123456789012345 0E-5 -> 1.123456789012345
|
---|
2445 | addx61466 add 1.123456789012345 0E-6 -> 1.123456789012345
|
---|
2446 | addx61467 add 1.123456789012345 0E-7 -> 1.123456789012345
|
---|
2447 | addx61468 add 1.123456789012345 0E-8 -> 1.123456789012345
|
---|
2448 | addx61469 add 1.123456789012345 0E-9 -> 1.123456789012345
|
---|
2449 | addx61470 add 1.123456789012345 0E-10 -> 1.123456789012345
|
---|
2450 | addx61471 add 1.123456789012345 0E-11 -> 1.123456789012345
|
---|
2451 | addx61472 add 1.123456789012345 0E-12 -> 1.123456789012345
|
---|
2452 | addx61473 add 1.123456789012345 0E-13 -> 1.123456789012345
|
---|
2453 | addx61474 add 1.123456789012345 0E-14 -> 1.123456789012345
|
---|
2454 | addx61475 add 1.123456789012345 0E-15 -> 1.123456789012345
|
---|
2455 | -- next four flag Rounded because the 0 extends the result
|
---|
2456 | addx61476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
|
---|
2457 | addx61477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
|
---|
2458 | addx61478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
|
---|
2459 | addx61479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
|
---|
2460 |
|
---|
2461 | -- sum of two opposite-sign operands is exactly 0 and floor => -0
|
---|
2462 | rounding: half_up
|
---|
2463 | -- exact zeros from zeros
|
---|
2464 | addx61500 add 0 0E-19 -> 0E-19
|
---|
2465 | addx61501 add -0 0E-19 -> 0E-19
|
---|
2466 | addx61502 add 0 -0E-19 -> 0E-19
|
---|
2467 | addx61503 add -0 -0E-19 -> -0E-19
|
---|
2468 | addx61504 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
2469 | addx61505 add -0E-400 0E-19 -> 0E-398 Clamped
|
---|
2470 | addx61506 add 0E-400 -0E-19 -> 0E-398 Clamped
|
---|
2471 | addx61507 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
2472 | -- inexact zeros
|
---|
2473 | addx61511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2474 | addx61512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2475 | addx61513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2476 | addx61514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2477 | -- some exact zeros from non-zeros
|
---|
2478 | addx61515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2479 | addx61516 add -1E-401 1E-401 -> 0E-398 Clamped
|
---|
2480 | addx61517 add 1E-401 -1E-401 -> 0E-398 Clamped
|
---|
2481 | addx61518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2482 |
|
---|
2483 | rounding: half_down
|
---|
2484 | -- exact zeros from zeros
|
---|
2485 | addx61520 add 0 0E-19 -> 0E-19
|
---|
2486 | addx61521 add -0 0E-19 -> 0E-19
|
---|
2487 | addx61522 add 0 -0E-19 -> 0E-19
|
---|
2488 | addx61523 add -0 -0E-19 -> -0E-19
|
---|
2489 | addx61524 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
2490 | addx61525 add -0E-400 0E-19 -> 0E-398 Clamped
|
---|
2491 | addx61526 add 0E-400 -0E-19 -> 0E-398 Clamped
|
---|
2492 | addx61527 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
2493 | -- inexact zeros
|
---|
2494 | addx61531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2495 | addx61532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2496 | addx61533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2497 | addx61534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2498 | -- some exact zeros from non-zeros
|
---|
2499 | addx61535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2500 | addx61536 add -1E-401 1E-401 -> 0E-398 Clamped
|
---|
2501 | addx61537 add 1E-401 -1E-401 -> 0E-398 Clamped
|
---|
2502 | addx61538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2503 |
|
---|
2504 | rounding: half_even
|
---|
2505 | -- exact zeros from zeros
|
---|
2506 | addx61540 add 0 0E-19 -> 0E-19
|
---|
2507 | addx61541 add -0 0E-19 -> 0E-19
|
---|
2508 | addx61542 add 0 -0E-19 -> 0E-19
|
---|
2509 | addx61543 add -0 -0E-19 -> -0E-19
|
---|
2510 | addx61544 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
2511 | addx61545 add -0E-400 0E-19 -> 0E-398 Clamped
|
---|
2512 | addx61546 add 0E-400 -0E-19 -> 0E-398 Clamped
|
---|
2513 | addx61547 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
2514 | -- inexact zeros
|
---|
2515 | addx61551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2516 | addx61552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2517 | addx61553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2518 | addx61554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2519 | -- some exact zeros from non-zeros
|
---|
2520 | addx61555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2521 | addx61556 add -1E-401 1E-401 -> 0E-398 Clamped
|
---|
2522 | addx61557 add 1E-401 -1E-401 -> 0E-398 Clamped
|
---|
2523 | addx61558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2524 |
|
---|
2525 | rounding: up
|
---|
2526 | -- exact zeros from zeros
|
---|
2527 | addx61560 add 0 0E-19 -> 0E-19
|
---|
2528 | addx61561 add -0 0E-19 -> 0E-19
|
---|
2529 | addx61562 add 0 -0E-19 -> 0E-19
|
---|
2530 | addx61563 add -0 -0E-19 -> -0E-19
|
---|
2531 | addx61564 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
2532 | addx61565 add -0E-400 0E-19 -> 0E-398 Clamped
|
---|
2533 | addx61566 add 0E-400 -0E-19 -> 0E-398 Clamped
|
---|
2534 | addx61567 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
2535 | -- inexact zeros
|
---|
2536 | addx61571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
---|
2537 | addx61572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
---|
2538 | addx61573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
---|
2539 | addx61574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
---|
2540 | -- some exact zeros from non-zeros
|
---|
2541 | addx61575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
|
---|
2542 | addx61576 add -1E-401 1E-401 -> 0E-398 Clamped
|
---|
2543 | addx61577 add 1E-401 -1E-401 -> 0E-398 Clamped
|
---|
2544 | addx61578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
|
---|
2545 |
|
---|
2546 | rounding: down
|
---|
2547 | -- exact zeros from zeros
|
---|
2548 | addx61580 add 0 0E-19 -> 0E-19
|
---|
2549 | addx61581 add -0 0E-19 -> 0E-19
|
---|
2550 | addx61582 add 0 -0E-19 -> 0E-19
|
---|
2551 | addx61583 add -0 -0E-19 -> -0E-19
|
---|
2552 | addx61584 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
2553 | addx61585 add -0E-400 0E-19 -> 0E-398 Clamped
|
---|
2554 | addx61586 add 0E-400 -0E-19 -> 0E-398 Clamped
|
---|
2555 | addx61587 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
2556 | -- inexact zeros
|
---|
2557 | addx61591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2558 | addx61592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2559 | addx61593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2560 | addx61594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2561 | -- some exact zeros from non-zeros
|
---|
2562 | addx61595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2563 | addx61596 add -1E-401 1E-401 -> 0E-398 Clamped
|
---|
2564 | addx61597 add 1E-401 -1E-401 -> 0E-398 Clamped
|
---|
2565 | addx61598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2566 |
|
---|
2567 | rounding: ceiling
|
---|
2568 | -- exact zeros from zeros
|
---|
2569 | addx61600 add 0 0E-19 -> 0E-19
|
---|
2570 | addx61601 add -0 0E-19 -> 0E-19
|
---|
2571 | addx61602 add 0 -0E-19 -> 0E-19
|
---|
2572 | addx61603 add -0 -0E-19 -> -0E-19
|
---|
2573 | addx61604 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
2574 | addx61605 add -0E-400 0E-19 -> 0E-398 Clamped
|
---|
2575 | addx61606 add 0E-400 -0E-19 -> 0E-398 Clamped
|
---|
2576 | addx61607 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
2577 | -- inexact zeros
|
---|
2578 | addx61611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
---|
2579 | addx61612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
---|
2580 | addx61613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2581 | addx61614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2582 | -- some exact zeros from non-zeros
|
---|
2583 | addx61615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
|
---|
2584 | addx61616 add -1E-401 1E-401 -> 0E-398 Clamped
|
---|
2585 | addx61617 add 1E-401 -1E-401 -> 0E-398 Clamped
|
---|
2586 | addx61618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2587 |
|
---|
2588 | -- and the extra-special ugly case; unusual minuses marked by -- *
|
---|
2589 | rounding: floor
|
---|
2590 | -- exact zeros from zeros
|
---|
2591 | addx61620 add 0 0E-19 -> 0E-19
|
---|
2592 | addx61621 add -0 0E-19 -> -0E-19 -- *
|
---|
2593 | addx61622 add 0 -0E-19 -> -0E-19 -- *
|
---|
2594 | addx61623 add -0 -0E-19 -> -0E-19
|
---|
2595 | addx61624 add 0E-400 0E-19 -> 0E-398 Clamped
|
---|
2596 | addx61625 add -0E-400 0E-19 -> -0E-398 Clamped -- *
|
---|
2597 | addx61626 add 0E-400 -0E-19 -> -0E-398 Clamped -- *
|
---|
2598 | addx61627 add -0E-400 -0E-19 -> -0E-398 Clamped
|
---|
2599 | -- inexact zeros
|
---|
2600 | addx61631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2601 | addx61632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2602 | addx61633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
---|
2603 | addx61634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
---|
2604 | -- some exact zeros from non-zeros
|
---|
2605 | addx61635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
---|
2606 | addx61636 add -1E-401 1E-401 -> -0E-398 Clamped -- *
|
---|
2607 | addx61637 add 1E-401 -1E-401 -> -0E-398 Clamped -- *
|
---|
2608 | addx61638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
|
---|
2609 |
|
---|
2610 | -- Examples from SQL proposal (Krishna Kulkarni)
|
---|
2611 | addx61701 add 130E-2 120E-2 -> 2.50
|
---|
2612 | addx61702 add 130E-2 12E-1 -> 2.50
|
---|
2613 | addx61703 add 130E-2 1E0 -> 2.30
|
---|
2614 | addx61704 add 1E2 1E4 -> 1.01E+4
|
---|
2615 | addx61705 subtract 130E-2 120E-2 -> 0.10
|
---|
2616 | addx61706 subtract 130E-2 12E-1 -> 0.10
|
---|
2617 | addx61707 subtract 130E-2 1E0 -> 0.30
|
---|
2618 | addx61708 subtract 1E2 1E4 -> -9.9E+3
|
---|
2619 |
|
---|
2620 | -- Gappy coefficients; check residue handling even with full coefficient gap
|
---|
2621 | rounding: half_even
|
---|
2622 |
|
---|
2623 | addx62001 add 1234567890123456 1 -> 1234567890123457
|
---|
2624 | addx62002 add 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded
|
---|
2625 | addx62003 add 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded
|
---|
2626 | addx62004 add 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded
|
---|
2627 | addx62005 add 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded
|
---|
2628 | addx62006 add 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded
|
---|
2629 | addx62007 add 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded
|
---|
2630 | addx62008 add 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded
|
---|
2631 | addx62009 add 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded
|
---|
2632 | addx62010 add 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded
|
---|
2633 | addx62011 add 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded
|
---|
2634 | addx62012 add 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded
|
---|
2635 | addx62013 add 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded
|
---|
2636 | addx62014 add 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded
|
---|
2637 | addx62015 add 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded
|
---|
2638 | addx62016 add 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded
|
---|
2639 | addx62017 add 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded
|
---|
2640 | addx62018 add 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded
|
---|
2641 | addx62019 add 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded
|
---|
2642 | addx62020 add 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded
|
---|
2643 | addx62021 add 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded
|
---|
2644 |
|
---|
2645 | -- widening second argument at gap
|
---|
2646 | addx62030 add 12345678 1 -> 12345679
|
---|
2647 | addx62031 add 12345678 0.1 -> 12345678.1
|
---|
2648 | addx62032 add 12345678 0.12 -> 12345678.12
|
---|
2649 | addx62033 add 12345678 0.123 -> 12345678.123
|
---|
2650 | addx62034 add 12345678 0.1234 -> 12345678.1234
|
---|
2651 | addx62035 add 12345678 0.12345 -> 12345678.12345
|
---|
2652 | addx62036 add 12345678 0.123456 -> 12345678.123456
|
---|
2653 | addx62037 add 12345678 0.1234567 -> 12345678.1234567
|
---|
2654 | addx62038 add 12345678 0.12345678 -> 12345678.12345678
|
---|
2655 | addx62039 add 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded
|
---|
2656 | addx62040 add 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded
|
---|
2657 | addx62041 add 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded
|
---|
2658 | addx62042 add 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded
|
---|
2659 | addx62043 add 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded
|
---|
2660 | addx62044 add 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded
|
---|
2661 | addx62045 add 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded
|
---|
2662 | addx62046 add 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded
|
---|
2663 | addx62047 add 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded
|
---|
2664 | addx62048 add 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded
|
---|
2665 | addx62049 add 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded
|
---|
2666 | -- 90123456
|
---|
2667 | rounding: half_even
|
---|
2668 | addx62050 add 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded
|
---|
2669 | addx62051 add 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded
|
---|
2670 | addx62052 add 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded
|
---|
2671 | addx62053 add 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded
|
---|
2672 | addx62054 add 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded
|
---|
2673 | addx62055 add 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded
|
---|
2674 | addx62056 add 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded
|
---|
2675 | addx62057 add 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded
|
---|
2676 | addx62060 add 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded
|
---|
2677 | addx62061 add 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded
|
---|
2678 | addx62062 add 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded
|
---|
2679 | addx62063 add 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded
|
---|
2680 | addx62064 add 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded
|
---|
2681 | addx62065 add 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded
|
---|
2682 | addx62066 add 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded
|
---|
2683 | addx62067 add 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded
|
---|
2684 | -- far-out residues (full coefficient gap is 16+15 digits)
|
---|
2685 | rounding: up
|
---|
2686 | addx62070 add 12345678 1E-8 -> 12345678.00000001
|
---|
2687 | addx62071 add 12345678 1E-9 -> 12345678.00000001 Inexact Rounded
|
---|
2688 | addx62072 add 12345678 1E-10 -> 12345678.00000001 Inexact Rounded
|
---|
2689 | addx62073 add 12345678 1E-11 -> 12345678.00000001 Inexact Rounded
|
---|
2690 | addx62074 add 12345678 1E-12 -> 12345678.00000001 Inexact Rounded
|
---|
2691 | addx62075 add 12345678 1E-13 -> 12345678.00000001 Inexact Rounded
|
---|
2692 | addx62076 add 12345678 1E-14 -> 12345678.00000001 Inexact Rounded
|
---|
2693 | addx62077 add 12345678 1E-15 -> 12345678.00000001 Inexact Rounded
|
---|
2694 | addx62078 add 12345678 1E-16 -> 12345678.00000001 Inexact Rounded
|
---|
2695 | addx62079 add 12345678 1E-17 -> 12345678.00000001 Inexact Rounded
|
---|
2696 | addx62080 add 12345678 1E-18 -> 12345678.00000001 Inexact Rounded
|
---|
2697 | addx62081 add 12345678 1E-19 -> 12345678.00000001 Inexact Rounded
|
---|
2698 | addx62082 add 12345678 1E-20 -> 12345678.00000001 Inexact Rounded
|
---|
2699 | addx62083 add 12345678 1E-25 -> 12345678.00000001 Inexact Rounded
|
---|
2700 | addx62084 add 12345678 1E-30 -> 12345678.00000001 Inexact Rounded
|
---|
2701 | addx62085 add 12345678 1E-31 -> 12345678.00000001 Inexact Rounded
|
---|
2702 | addx62086 add 12345678 1E-32 -> 12345678.00000001 Inexact Rounded
|
---|
2703 | addx62087 add 12345678 1E-33 -> 12345678.00000001 Inexact Rounded
|
---|
2704 | addx62088 add 12345678 1E-34 -> 12345678.00000001 Inexact Rounded
|
---|
2705 | addx62089 add 12345678 1E-35 -> 12345678.00000001 Inexact Rounded
|
---|
2706 |
|
---|
2707 | -- payload decapitate
|
---|
2708 | precision: 5
|
---|
2709 | addx62100 add 11 sNaN123456789 -> NaN56789 Invalid_operation
|
---|
2710 | addx62101 add -11 -sNaN123456789 -> -NaN56789 Invalid_operation
|
---|
2711 | addx62102 add 11 NaN123456789 -> NaN56789
|
---|
2712 | addx62103 add -11 -NaN123456789 -> -NaN56789
|
---|
2713 |
|
---|
2714 | -- Null tests
|
---|
2715 | addx9990 add 10 # -> NaN Invalid_operation
|
---|
2716 | addx9991 add # 10 -> NaN Invalid_operation
|
---|