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✏️ dqAdd.decTest
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------------------------------------------------------------------------ -- dqAdd.decTest -- decQuad addition -- -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://www2.hursley.ibm.com/decimal for the description of -- -- these testcases. -- -- -- -- These testcases are experimental ('beta' versions), and they -- -- may contain errors. They are offered on an as-is basis. In -- -- particular, achieving the same results as the tests here is not -- -- a guarantee that an implementation complies with any Standard -- -- or specification. The tests are not exhaustive. -- -- -- -- Please send comments, suggestions, and corrections to the author: -- -- Mike Cowlishaw, IBM Fellow -- -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- -- mfc@uk.ibm.com -- ------------------------------------------------------------------------ version: 2.59 -- This set of tests are for decQuads only; all arguments are -- representable in a decQuad extended: 1 clamp: 1 precision: 34 maxExponent: 6144 minExponent: -6143 rounding: half_even -- [first group are 'quick confidence check'] dqadd001 add 1 1 -> 2 dqadd002 add 2 3 -> 5 dqadd003 add '5.75' '3.3' -> 9.05 dqadd004 add '5' '-3' -> 2 dqadd005 add '-5' '-3' -> -8 dqadd006 add '-7' '2.5' -> -4.5 dqadd007 add '0.7' '0.3' -> 1.0 dqadd008 add '1.25' '1.25' -> 2.50 dqadd009 add '1.23456789' '1.00000000' -> '2.23456789' dqadd010 add '1.23456789' '1.00000011' -> '2.23456800' -- 1234567890123456 1234567890123456 dqadd011 add '0.4444444444444444444444444444444446' '0.5555555555555555555555555555555555' -> '1.000000000000000000000000000000000' Inexact Rounded dqadd012 add '0.4444444444444444444444444444444445' '0.5555555555555555555555555555555555' -> '1.000000000000000000000000000000000' Rounded dqadd013 add '0.4444444444444444444444444444444444' '0.5555555555555555555555555555555555' -> '0.9999999999999999999999999999999999' dqadd014 add '4444444444444444444444444444444444' '0.49' -> '4444444444444444444444444444444444' Inexact Rounded dqadd015 add '4444444444444444444444444444444444' '0.499' -> '4444444444444444444444444444444444' Inexact Rounded dqadd016 add '4444444444444444444444444444444444' '0.4999' -> '4444444444444444444444444444444444' Inexact Rounded dqadd017 add '4444444444444444444444444444444444' '0.5000' -> '4444444444444444444444444444444444' Inexact Rounded dqadd018 add '4444444444444444444444444444444444' '0.5001' -> '4444444444444444444444444444444445' Inexact Rounded dqadd019 add '4444444444444444444444444444444444' '0.501' -> '4444444444444444444444444444444445' Inexact Rounded dqadd020 add '4444444444444444444444444444444444' '0.51' -> '4444444444444444444444444444444445' Inexact Rounded dqadd021 add 0 1 -> 1 dqadd022 add 1 1 -> 2 dqadd023 add 2 1 -> 3 dqadd024 add 3 1 -> 4 dqadd025 add 4 1 -> 5 dqadd026 add 5 1 -> 6 dqadd027 add 6 1 -> 7 dqadd028 add 7 1 -> 8 dqadd029 add 8 1 -> 9 dqadd030 add 9 1 -> 10 -- some carrying effects dqadd031 add '0.9998' '0.0000' -> '0.9998' dqadd032 add '0.9998' '0.0001' -> '0.9999' dqadd033 add '0.9998' '0.0002' -> '1.0000' dqadd034 add '0.9998' '0.0003' -> '1.0001' dqadd035 add '70' '10000e+34' -> '1.000000000000000000000000000000000E+38' Inexact Rounded dqadd036 add '700' '10000e+34' -> '1.000000000000000000000000000000000E+38' Inexact Rounded dqadd037 add '7000' '10000e+34' -> '1.000000000000000000000000000000000E+38' Inexact Rounded dqadd038 add '70000' '10000e+34' -> '1.000000000000000000000000000000001E+38' Inexact Rounded dqadd039 add '700000' '10000e+34' -> '1.000000000000000000000000000000007E+38' Rounded -- symmetry: dqadd040 add '10000e+34' '70' -> '1.000000000000000000000000000000000E+38' Inexact Rounded dqadd041 add '10000e+34' '700' -> '1.000000000000000000000000000000000E+38' Inexact Rounded dqadd042 add '10000e+34' '7000' -> '1.000000000000000000000000000000000E+38' Inexact Rounded dqadd044 add '10000e+34' '70000' -> '1.000000000000000000000000000000001E+38' Inexact Rounded dqadd045 add '10000e+34' '700000' -> '1.000000000000000000000000000000007E+38' Rounded -- same, without rounding dqadd046 add '10000e+9' '7' -> '10000000000007' dqadd047 add '10000e+9' '70' -> '10000000000070' dqadd048 add '10000e+9' '700' -> '10000000000700' dqadd049 add '10000e+9' '7000' -> '10000000007000' dqadd050 add '10000e+9' '70000' -> '10000000070000' dqadd051 add '10000e+9' '700000' -> '10000000700000' dqadd052 add '10000e+9' '7000000' -> '10000007000000' -- examples from decarith dqadd053 add '12' '7.00' -> '19.00' dqadd054 add '1.3' '-1.07' -> '0.23' dqadd055 add '1.3' '-1.30' -> '0.00' dqadd056 add '1.3' '-2.07' -> '-0.77' dqadd057 add '1E+2' '1E+4' -> '1.01E+4' -- leading zero preservation dqadd061 add 1 '0.0001' -> '1.0001' dqadd062 add 1 '0.00001' -> '1.00001' dqadd063 add 1 '0.000001' -> '1.000001' dqadd064 add 1 '0.0000001' -> '1.0000001' dqadd065 add 1 '0.00000001' -> '1.00000001' -- some funny zeros [in case of bad signum] dqadd070 add 1 0 -> 1 dqadd071 add 1 0. -> 1 dqadd072 add 1 .0 -> 1.0 dqadd073 add 1 0.0 -> 1.0 dqadd074 add 1 0.00 -> 1.00 dqadd075 add 0 1 -> 1 dqadd076 add 0. 1 -> 1 dqadd077 add .0 1 -> 1.0 dqadd078 add 0.0 1 -> 1.0 dqadd079 add 0.00 1 -> 1.00 -- some carries dqadd080 add 999999998 1 -> 999999999 dqadd081 add 999999999 1 -> 1000000000 dqadd082 add 99999999 1 -> 100000000 dqadd083 add 9999999 1 -> 10000000 dqadd084 add 999999 1 -> 1000000 dqadd085 add 99999 1 -> 100000 dqadd086 add 9999 1 -> 10000 dqadd087 add 999 1 -> 1000 dqadd088 add 99 1 -> 100 dqadd089 add 9 1 -> 10 -- more LHS swaps dqadd090 add '-56267E-10' 0 -> '-0.0000056267' dqadd091 add '-56267E-6' 0 -> '-0.056267' dqadd092 add '-56267E-5' 0 -> '-0.56267' dqadd093 add '-56267E-4' 0 -> '-5.6267' dqadd094 add '-56267E-3' 0 -> '-56.267' dqadd095 add '-56267E-2' 0 -> '-562.67' dqadd096 add '-56267E-1' 0 -> '-5626.7' dqadd097 add '-56267E-0' 0 -> '-56267' dqadd098 add '-5E-10' 0 -> '-5E-10' dqadd099 add '-5E-7' 0 -> '-5E-7' dqadd100 add '-5E-6' 0 -> '-0.000005' dqadd101 add '-5E-5' 0 -> '-0.00005' dqadd102 add '-5E-4' 0 -> '-0.0005' dqadd103 add '-5E-1' 0 -> '-0.5' dqadd104 add '-5E0' 0 -> '-5' dqadd105 add '-5E1' 0 -> '-50' dqadd106 add '-5E5' 0 -> '-500000' dqadd107 add '-5E33' 0 -> '-5000000000000000000000000000000000' dqadd108 add '-5E34' 0 -> '-5.000000000000000000000000000000000E+34' Rounded dqadd109 add '-5E35' 0 -> '-5.000000000000000000000000000000000E+35' Rounded dqadd110 add '-5E36' 0 -> '-5.000000000000000000000000000000000E+36' Rounded dqadd111 add '-5E100' 0 -> '-5.000000000000000000000000000000000E+100' Rounded -- more RHS swaps dqadd113 add 0 '-56267E-10' -> '-0.0000056267' dqadd114 add 0 '-56267E-6' -> '-0.056267' dqadd116 add 0 '-56267E-5' -> '-0.56267' dqadd117 add 0 '-56267E-4' -> '-5.6267' dqadd119 add 0 '-56267E-3' -> '-56.267' dqadd120 add 0 '-56267E-2' -> '-562.67' dqadd121 add 0 '-56267E-1' -> '-5626.7' dqadd122 add 0 '-56267E-0' -> '-56267' dqadd123 add 0 '-5E-10' -> '-5E-10' dqadd124 add 0 '-5E-7' -> '-5E-7' dqadd125 add 0 '-5E-6' -> '-0.000005' dqadd126 add 0 '-5E-5' -> '-0.00005' dqadd127 add 0 '-5E-4' -> '-0.0005' dqadd128 add 0 '-5E-1' -> '-0.5' dqadd129 add 0 '-5E0' -> '-5' dqadd130 add 0 '-5E1' -> '-50' dqadd131 add 0 '-5E5' -> '-500000' dqadd132 add 0 '-5E33' -> '-5000000000000000000000000000000000' dqadd133 add 0 '-5E34' -> '-5.000000000000000000000000000000000E+34' Rounded dqadd134 add 0 '-5E35' -> '-5.000000000000000000000000000000000E+35' Rounded dqadd135 add 0 '-5E36' -> '-5.000000000000000000000000000000000E+36' Rounded dqadd136 add 0 '-5E100' -> '-5.000000000000000000000000000000000E+100' Rounded -- related dqadd137 add 1 '0E-39' -> '1.000000000000000000000000000000000' Rounded dqadd138 add -1 '0E-39' -> '-1.000000000000000000000000000000000' Rounded dqadd139 add '0E-39' 1 -> '1.000000000000000000000000000000000' Rounded dqadd140 add '0E-39' -1 -> '-1.000000000000000000000000000000000' Rounded dqadd141 add 1E+29 0.0000 -> '100000000000000000000000000000.0000' dqadd142 add 1E+29 0.00000 -> '100000000000000000000000000000.0000' Rounded dqadd143 add 0.000 1E+30 -> '1000000000000000000000000000000.000' dqadd144 add 0.0000 1E+30 -> '1000000000000000000000000000000.000' Rounded -- [some of the next group are really constructor tests] dqadd146 add '00.0' 0 -> '0.0' dqadd147 add '0.00' 0 -> '0.00' dqadd148 add 0 '0.00' -> '0.00' dqadd149 add 0 '00.0' -> '0.0' dqadd150 add '00.0' '0.00' -> '0.00' dqadd151 add '0.00' '00.0' -> '0.00' dqadd152 add '3' '.3' -> '3.3' dqadd153 add '3.' '.3' -> '3.3' dqadd154 add '3.0' '.3' -> '3.3' dqadd155 add '3.00' '.3' -> '3.30' dqadd156 add '3' '3' -> '6' dqadd157 add '3' '+3' -> '6' dqadd158 add '3' '-3' -> '0' dqadd159 add '0.3' '-0.3' -> '0.0' dqadd160 add '0.03' '-0.03' -> '0.00' -- try borderline precision, with carries, etc. dqadd161 add '1E+12' '-1' -> '999999999999' dqadd162 add '1E+12' '1.11' -> '1000000000001.11' dqadd163 add '1.11' '1E+12' -> '1000000000001.11' dqadd164 add '-1' '1E+12' -> '999999999999' dqadd165 add '7E+12' '-1' -> '6999999999999' dqadd166 add '7E+12' '1.11' -> '7000000000001.11' dqadd167 add '1.11' '7E+12' -> '7000000000001.11' dqadd168 add '-1' '7E+12' -> '6999999999999' rounding: half_up dqadd170 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555567' -> '5.000000000000000000000000000000001' Inexact Rounded dqadd171 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555566' -> '5.000000000000000000000000000000001' Inexact Rounded dqadd172 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555565' -> '5.000000000000000000000000000000001' Inexact Rounded dqadd173 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555564' -> '5.000000000000000000000000000000000' Inexact Rounded dqadd174 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555553' -> '4.999999999999999999999999999999999' Inexact Rounded dqadd175 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555552' -> '4.999999999999999999999999999999999' Inexact Rounded dqadd176 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555551' -> '4.999999999999999999999999999999999' Inexact Rounded dqadd177 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555550' -> '4.999999999999999999999999999999999' Rounded dqadd178 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555545' -> '4.999999999999999999999999999999999' Inexact Rounded dqadd179 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555544' -> '4.999999999999999999999999999999998' Inexact Rounded dqadd180 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555543' -> '4.999999999999999999999999999999998' Inexact Rounded dqadd181 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555542' -> '4.999999999999999999999999999999998' Inexact Rounded dqadd182 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555541' -> '4.999999999999999999999999999999998' Inexact Rounded dqadd183 add '4.444444444444444444444444444444444' '0.5555555555555555555555555555555540' -> '4.999999999999999999999999999999998' Rounded -- and some more, including residue effects and different roundings rounding: half_up dqadd200 add '1231234567890123456784560123456789' 0 -> '1231234567890123456784560123456789' dqadd201 add '1231234567890123456784560123456789' 0.000000001 -> '1231234567890123456784560123456789' Inexact Rounded dqadd202 add '1231234567890123456784560123456789' 0.000001 -> '1231234567890123456784560123456789' Inexact Rounded dqadd203 add '1231234567890123456784560123456789' 0.1 -> '1231234567890123456784560123456789' Inexact Rounded dqadd204 add '1231234567890123456784560123456789' 0.4 -> '1231234567890123456784560123456789' Inexact Rounded dqadd205 add '1231234567890123456784560123456789' 0.49 -> '1231234567890123456784560123456789' Inexact Rounded dqadd206 add '1231234567890123456784560123456789' 0.499999 -> '1231234567890123456784560123456789' Inexact Rounded dqadd207 add '1231234567890123456784560123456789' 0.499999999 -> '1231234567890123456784560123456789' Inexact Rounded dqadd208 add '1231234567890123456784560123456789' 0.5 -> '1231234567890123456784560123456790' Inexact Rounded dqadd209 add '1231234567890123456784560123456789' 0.500000001 -> '1231234567890123456784560123456790' Inexact Rounded dqadd210 add '1231234567890123456784560123456789' 0.500001 -> '1231234567890123456784560123456790' Inexact Rounded dqadd211 add '1231234567890123456784560123456789' 0.51 -> '1231234567890123456784560123456790' Inexact Rounded dqadd212 add '1231234567890123456784560123456789' 0.6 -> '1231234567890123456784560123456790' Inexact Rounded dqadd213 add '1231234567890123456784560123456789' 0.9 -> '1231234567890123456784560123456790' Inexact Rounded dqadd214 add '1231234567890123456784560123456789' 0.99999 -> '1231234567890123456784560123456790' Inexact Rounded dqadd215 add '1231234567890123456784560123456789' 0.999999999 -> '1231234567890123456784560123456790' Inexact Rounded dqadd216 add '1231234567890123456784560123456789' 1 -> '1231234567890123456784560123456790' dqadd217 add '1231234567890123456784560123456789' 1.000000001 -> '1231234567890123456784560123456790' Inexact Rounded dqadd218 add '1231234567890123456784560123456789' 1.00001 -> '1231234567890123456784560123456790' Inexact Rounded dqadd219 add '1231234567890123456784560123456789' 1.1 -> '1231234567890123456784560123456790' Inexact Rounded rounding: half_even dqadd220 add '1231234567890123456784560123456789' 0 -> '1231234567890123456784560123456789' dqadd221 add '1231234567890123456784560123456789' 0.000000001 -> '1231234567890123456784560123456789' Inexact Rounded dqadd222 add '1231234567890123456784560123456789' 0.000001 -> '1231234567890123456784560123456789' Inexact Rounded dqadd223 add '1231234567890123456784560123456789' 0.1 -> '1231234567890123456784560123456789' Inexact Rounded dqadd224 add '1231234567890123456784560123456789' 0.4 -> '1231234567890123456784560123456789' Inexact Rounded dqadd225 add '1231234567890123456784560123456789' 0.49 -> '1231234567890123456784560123456789' Inexact Rounded dqadd226 add '1231234567890123456784560123456789' 0.499999 -> '1231234567890123456784560123456789' Inexact Rounded dqadd227 add '1231234567890123456784560123456789' 0.499999999 -> '1231234567890123456784560123456789' Inexact Rounded dqadd228 add '1231234567890123456784560123456789' 0.5 -> '1231234567890123456784560123456790' Inexact Rounded dqadd229 add '1231234567890123456784560123456789' 0.500000001 -> '1231234567890123456784560123456790' Inexact Rounded dqadd230 add '1231234567890123456784560123456789' 0.500001 -> '1231234567890123456784560123456790' Inexact Rounded dqadd231 add '1231234567890123456784560123456789' 0.51 -> '1231234567890123456784560123456790' Inexact Rounded dqadd232 add '1231234567890123456784560123456789' 0.6 -> '1231234567890123456784560123456790' Inexact Rounded dqadd233 add '1231234567890123456784560123456789' 0.9 -> '1231234567890123456784560123456790' Inexact Rounded dqadd234 add '1231234567890123456784560123456789' 0.99999 -> '1231234567890123456784560123456790' Inexact Rounded dqadd235 add '1231234567890123456784560123456789' 0.999999999 -> '1231234567890123456784560123456790' Inexact Rounded dqadd236 add '1231234567890123456784560123456789' 1 -> '1231234567890123456784560123456790' dqadd237 add '1231234567890123456784560123456789' 1.00000001 -> '1231234567890123456784560123456790' Inexact Rounded dqadd238 add '1231234567890123456784560123456789' 1.00001 -> '1231234567890123456784560123456790' Inexact Rounded dqadd239 add '1231234567890123456784560123456789' 1.1 -> '1231234567890123456784560123456790' Inexact Rounded -- critical few with even bottom digit... dqadd240 add '1231234567890123456784560123456788' 0.499999999 -> '1231234567890123456784560123456788' Inexact Rounded dqadd241 add '1231234567890123456784560123456788' 0.5 -> '1231234567890123456784560123456788' Inexact Rounded dqadd242 add '1231234567890123456784560123456788' 0.500000001 -> '1231234567890123456784560123456789' Inexact Rounded rounding: down dqadd250 add '1231234567890123456784560123456789' 0 -> '1231234567890123456784560123456789' dqadd251 add '1231234567890123456784560123456789' 0.000000001 -> '1231234567890123456784560123456789' Inexact Rounded dqadd252 add '1231234567890123456784560123456789' 0.000001 -> '1231234567890123456784560123456789' Inexact Rounded dqadd253 add '1231234567890123456784560123456789' 0.1 -> '1231234567890123456784560123456789' Inexact Rounded dqadd254 add '1231234567890123456784560123456789' 0.4 -> '1231234567890123456784560123456789' Inexact Rounded dqadd255 add '1231234567890123456784560123456789' 0.49 -> '1231234567890123456784560123456789' Inexact Rounded dqadd256 add '1231234567890123456784560123456789' 0.499999 -> '1231234567890123456784560123456789' Inexact Rounded dqadd257 add '1231234567890123456784560123456789' 0.499999999 -> '1231234567890123456784560123456789' Inexact Rounded dqadd258 add '1231234567890123456784560123456789' 0.5 -> '1231234567890123456784560123456789' Inexact Rounded dqadd259 add '1231234567890123456784560123456789' 0.500000001 -> '1231234567890123456784560123456789' Inexact Rounded dqadd260 add '1231234567890123456784560123456789' 0.500001 -> '1231234567890123456784560123456789' Inexact Rounded dqadd261 add '1231234567890123456784560123456789' 0.51 -> '1231234567890123456784560123456789' Inexact Rounded dqadd262 add '1231234567890123456784560123456789' 0.6 -> '1231234567890123456784560123456789' Inexact Rounded dqadd263 add '1231234567890123456784560123456789' 0.9 -> '1231234567890123456784560123456789' Inexact Rounded dqadd264 add '1231234567890123456784560123456789' 0.99999 -> '1231234567890123456784560123456789' Inexact Rounded dqadd265 add '1231234567890123456784560123456789' 0.999999999 -> '1231234567890123456784560123456789' Inexact Rounded dqadd266 add '1231234567890123456784560123456789' 1 -> '1231234567890123456784560123456790' dqadd267 add '1231234567890123456784560123456789' 1.00000001 -> '1231234567890123456784560123456790' Inexact Rounded dqadd268 add '1231234567890123456784560123456789' 1.00001 -> '1231234567890123456784560123456790' Inexact Rounded dqadd269 add '1231234567890123456784560123456789' 1.1 -> '1231234567890123456784560123456790' Inexact Rounded -- 1 in last place tests rounding: half_up dqadd301 add -1 1 -> 0 dqadd302 add 0 1 -> 1 dqadd303 add 1 1 -> 2 dqadd304 add 12 1 -> 13 dqadd305 add 98 1 -> 99 dqadd306 add 99 1 -> 100 dqadd307 add 100 1 -> 101 dqadd308 add 101 1 -> 102 dqadd309 add -1 -1 -> -2 dqadd310 add 0 -1 -> -1 dqadd311 add 1 -1 -> 0 dqadd312 add 12 -1 -> 11 dqadd313 add 98 -1 -> 97 dqadd314 add 99 -1 -> 98 dqadd315 add 100 -1 -> 99 dqadd316 add 101 -1 -> 100 dqadd321 add -0.01 0.01 -> 0.00 dqadd322 add 0.00 0.01 -> 0.01 dqadd323 add 0.01 0.01 -> 0.02 dqadd324 add 0.12 0.01 -> 0.13 dqadd325 add 0.98 0.01 -> 0.99 dqadd326 add 0.99 0.01 -> 1.00 dqadd327 add 1.00 0.01 -> 1.01 dqadd328 add 1.01 0.01 -> 1.02 dqadd329 add -0.01 -0.01 -> -0.02 dqadd330 add 0.00 -0.01 -> -0.01 dqadd331 add 0.01 -0.01 -> 0.00 dqadd332 add 0.12 -0.01 -> 0.11 dqadd333 add 0.98 -0.01 -> 0.97 dqadd334 add 0.99 -0.01 -> 0.98 dqadd335 add 1.00 -0.01 -> 0.99 dqadd336 add 1.01 -0.01 -> 1.00 -- some more cases where adding 0 affects the coefficient dqadd340 add 1E+3 0 -> 1000 dqadd341 add 1E+33 0 -> 1000000000000000000000000000000000 dqadd342 add 1E+34 0 -> 1.000000000000000000000000000000000E+34 Rounded dqadd343 add 1E+35 0 -> 1.000000000000000000000000000000000E+35 Rounded -- which simply follow from these cases ... dqadd344 add 1E+3 1 -> 1001 dqadd345 add 1E+33 1 -> 1000000000000000000000000000000001 dqadd346 add 1E+34 1 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd347 add 1E+35 1 -> 1.000000000000000000000000000000000E+35 Inexact Rounded dqadd348 add 1E+3 7 -> 1007 dqadd349 add 1E+33 7 -> 1000000000000000000000000000000007 dqadd350 add 1E+34 7 -> 1.000000000000000000000000000000001E+34 Inexact Rounded dqadd351 add 1E+35 7 -> 1.000000000000000000000000000000000E+35 Inexact Rounded -- tryzeros cases rounding: half_up dqadd360 add 0E+50 10000E+1 -> 1.0000E+5 dqadd361 add 0E-50 10000E+1 -> 100000.0000000000000000000000000000 Rounded dqadd362 add 10000E+1 0E-50 -> 100000.0000000000000000000000000000 Rounded dqadd363 add 10000E+1 10000E-50 -> 100000.0000000000000000000000000000 Rounded Inexact dqadd364 add 9.999999999999999999999999999999999E+6144 -9.999999999999999999999999999999999E+6144 -> 0E+6111 -- 1 234567890123456789012345678901234 -- a curiosity from JSR 13 testing rounding: half_down dqadd370 add 999999999999999999999999999999999 815 -> 1000000000000000000000000000000814 dqadd371 add 9999999999999999999999999999999999 815 -> 1.000000000000000000000000000000081E+34 Rounded Inexact rounding: half_up dqadd372 add 999999999999999999999999999999999 815 -> 1000000000000000000000000000000814 dqadd373 add 9999999999999999999999999999999999 815 -> 1.000000000000000000000000000000081E+34 Rounded Inexact rounding: half_even dqadd374 add 999999999999999999999999999999999 815 -> 1000000000000000000000000000000814 dqadd375 add 9999999999999999999999999999999999 815 -> 1.000000000000000000000000000000081E+34 Rounded Inexact -- ulp replacement tests dqadd400 add 1 77e-32 -> 1.00000000000000000000000000000077 dqadd401 add 1 77e-33 -> 1.000000000000000000000000000000077 dqadd402 add 1 77e-34 -> 1.000000000000000000000000000000008 Inexact Rounded dqadd403 add 1 77e-35 -> 1.000000000000000000000000000000001 Inexact Rounded dqadd404 add 1 77e-36 -> 1.000000000000000000000000000000000 Inexact Rounded dqadd405 add 1 77e-37 -> 1.000000000000000000000000000000000 Inexact Rounded dqadd406 add 1 77e-299 -> 1.000000000000000000000000000000000 Inexact Rounded dqadd410 add 10 77e-32 -> 10.00000000000000000000000000000077 dqadd411 add 10 77e-33 -> 10.00000000000000000000000000000008 Inexact Rounded dqadd412 add 10 77e-34 -> 10.00000000000000000000000000000001 Inexact Rounded dqadd413 add 10 77e-35 -> 10.00000000000000000000000000000000 Inexact Rounded dqadd414 add 10 77e-36 -> 10.00000000000000000000000000000000 Inexact Rounded dqadd415 add 10 77e-37 -> 10.00000000000000000000000000000000 Inexact Rounded dqadd416 add 10 77e-299 -> 10.00000000000000000000000000000000 Inexact Rounded dqadd420 add 77e-32 1 -> 1.00000000000000000000000000000077 dqadd421 add 77e-33 1 -> 1.000000000000000000000000000000077 dqadd422 add 77e-34 1 -> 1.000000000000000000000000000000008 Inexact Rounded dqadd423 add 77e-35 1 -> 1.000000000000000000000000000000001 Inexact Rounded dqadd424 add 77e-36 1 -> 1.000000000000000000000000000000000 Inexact Rounded dqadd425 add 77e-37 1 -> 1.000000000000000000000000000000000 Inexact Rounded dqadd426 add 77e-299 1 -> 1.000000000000000000000000000000000 Inexact Rounded dqadd430 add 77e-32 10 -> 10.00000000000000000000000000000077 dqadd431 add 77e-33 10 -> 10.00000000000000000000000000000008 Inexact Rounded dqadd432 add 77e-34 10 -> 10.00000000000000000000000000000001 Inexact Rounded dqadd433 add 77e-35 10 -> 10.00000000000000000000000000000000 Inexact Rounded dqadd434 add 77e-36 10 -> 10.00000000000000000000000000000000 Inexact Rounded dqadd435 add 77e-37 10 -> 10.00000000000000000000000000000000 Inexact Rounded dqadd436 add 77e-299 10 -> 10.00000000000000000000000000000000 Inexact Rounded -- fastpath boundaries -- 1234567890123456789012345678901234 dqadd501 add '4444444444444444444444444444444444' '5555555555555555555555555555555555' -> '9999999999999999999999999999999999' dqadd502 add '4444444444444444444444444444444444' '4555555555555555555555555555555555' -> '8999999999999999999999999999999999' dqadd503 add '4444444444444444444444444444444444' '3555555555555555555055555555555555' -> '7999999999999999999499999999999999' dqadd504 add '4444444444444444444444444444444444' '3955555555555555555555555555555555' -> '8399999999999999999999999999999999' dqadd505 add '4444444444444444444444444444444444' '4955555555555555555555555555555555' -> '9399999999999999999999999999999999' dqadd506 add '4444444444444444444444444444444444' '5955555555555555555555555555555555' -> 1.040000000000000000000000000000000E+34 Inexact Rounded dqadd511 add '344444444444444444444444444444444' '555555555555555555555555555555555' -> '899999999999999999999999999999999' dqadd512 add '34444444444444444444444444444444' '55555555555555555555555555555555' -> '89999999999999999999999999999999' dqadd513 add '3444444444444444444444444444444' '5555555555555555555555555555555' -> '8999999999999999999999999999999' dqadd514 add '344444444444444444444444444444' '555555555555555555555555555555' -> '899999999999999999999999999999' dqadd515 add '34444444444444444444444444444' '55555555555555555555555555555' -> '89999999999999999999999999999' dqadd516 add '3444444444444444444444444444' '5555555555555555555555555555' -> '8999999999999999999999999999' dqadd517 add '344444444444444444444444444' '555555555555555555555555555' -> '899999999999999999999999999' dqadd518 add '34444444444444444444444444' '55555555555555555555555555' -> '89999999999999999999999999' dqadd519 add '3444444444444444444444444' '5555555555555555555555555' -> '8999999999999999999999999' dqadd520 add '344444444444444444444444' '555555555555555555555555' -> '899999999999999999999999' dqadd521 add '34444444444444444444444' '55555555555555555555555' -> '89999999999999999999999' dqadd522 add '3444444444444444444444' '5555555555555555555555' -> '8999999999999999999999' dqadd523 add '4444444444444444444444' '3333333333333333333333' -> '7777777777777777777777' dqadd524 add '344444444444444444444' '555555555555555555555' -> '899999999999999999999' dqadd525 add '34444444444444444444' '55555555555555555555' -> '89999999999999999999' dqadd526 add '3444444444444444444' '5555555555555555555' -> '8999999999999999999' dqadd527 add '344444444444444444' '555555555555555555' -> '899999999999999999' dqadd528 add '34444444444444444' '55555555555555555' -> '89999999999999999' dqadd529 add '3444444444444444' '5555555555555555' -> '8999999999999999' dqadd530 add '344444444444444' '555555555555555' -> '899999999999999' dqadd531 add '34444444444444' '55555555555555' -> '89999999999999' dqadd532 add '3444444444444' '5555555555555' -> '8999999999999' dqadd533 add '344444444444' '555555555555' -> '899999999999' dqadd534 add '34444444444' '55555555555' -> '89999999999' dqadd535 add '3444444444' '5555555555' -> '8999999999' dqadd536 add '344444444' '555555555' -> '899999999' dqadd537 add '34444444' '55555555' -> '89999999' dqadd538 add '3444444' '5555555' -> '8999999' dqadd539 add '344444' '555555' -> '899999' dqadd540 add '34444' '55555' -> '89999' dqadd541 add '3444' '5555' -> '8999' dqadd542 add '344' '555' -> '899' dqadd543 add '34' '55' -> '89' dqadd544 add '3' '5' -> '8' dqadd545 add '3000004000000000000000000000000000' '3000000000000040000000000000000000' -> '6000004000000040000000000000000000' dqadd546 add '3000000400000000000000000000000000' '4000000000000400000000000000000000' -> '7000000400000400000000000000000000' dqadd547 add '3000000040000000000000000000000000' '5000000000004000000000000000000000' -> '8000000040004000000000000000000000' dqadd548 add '4000000004000000000000000000000000' '3000000000040000000000000000000000' -> '7000000004040000000000000000000000' dqadd549 add '4000000000400000000000000000000000' '4000000000400000000000000000000000' -> '8000000000800000000000000000000000' dqadd550 add '4000000000040000000000000000000000' '5000000004000000000000000000000000' -> '9000000004040000000000000000000000' dqadd551 add '5000000000004000000000000000000000' '3000000040000000000000000000000000' -> '8000000040004000000000000000000000' dqadd552 add '5000000000000400000000000000000000' '4000000400000000000000000000000000' -> '9000000400000400000000000000000000' dqadd553 add '5000000000000040000000000000000000' '5000004000000000000000000000000000' -> 1.000000400000004000000000000000000E+34 Rounded -- check propagation dqadd554 add '8999999999999999999999999999999999' '0000000000000000000000000000000001' -> 9000000000000000000000000000000000 dqadd555 add '0000000000000000000000000000000001' '8999999999999999999999999999999999' -> 9000000000000000000000000000000000 dqadd556 add '4444444444444444444444444444444444' '4555555555555555555555555555555556' -> 9000000000000000000000000000000000 dqadd557 add '4555555555555555555555555555555556' '4444444444444444444444444444444444' -> 9000000000000000000000000000000000 -- negative ulps dqadd6440 add 1 -77e-32 -> 0.99999999999999999999999999999923 dqadd6441 add 1 -77e-33 -> 0.999999999999999999999999999999923 dqadd6442 add 1 -77e-34 -> 0.9999999999999999999999999999999923 dqadd6443 add 1 -77e-35 -> 0.9999999999999999999999999999999992 Inexact Rounded dqadd6444 add 1 -77e-36 -> 0.9999999999999999999999999999999999 Inexact Rounded dqadd6445 add 1 -77e-37 -> 1.000000000000000000000000000000000 Inexact Rounded dqadd6446 add 1 -77e-99 -> 1.000000000000000000000000000000000 Inexact Rounded dqadd6450 add 10 -77e-32 -> 9.99999999999999999999999999999923 dqadd6451 add 10 -77e-33 -> 9.999999999999999999999999999999923 dqadd6452 add 10 -77e-34 -> 9.999999999999999999999999999999992 Inexact Rounded dqadd6453 add 10 -77e-35 -> 9.999999999999999999999999999999999 Inexact Rounded dqadd6454 add 10 -77e-36 -> 10.00000000000000000000000000000000 Inexact Rounded dqadd6455 add 10 -77e-37 -> 10.00000000000000000000000000000000 Inexact Rounded dqadd6456 add 10 -77e-99 -> 10.00000000000000000000000000000000 Inexact Rounded dqadd6460 add -77e-32 1 -> 0.99999999999999999999999999999923 dqadd6461 add -77e-33 1 -> 0.999999999999999999999999999999923 dqadd6462 add -77e-34 1 -> 0.9999999999999999999999999999999923 dqadd6463 add -77e-35 1 -> 0.9999999999999999999999999999999992 Inexact Rounded dqadd6464 add -77e-36 1 -> 0.9999999999999999999999999999999999 Inexact Rounded dqadd6465 add -77e-37 1 -> 1.000000000000000000000000000000000 Inexact Rounded dqadd6466 add -77e-99 1 -> 1.000000000000000000000000000000000 Inexact Rounded dqadd6470 add -77e-32 10 -> 9.99999999999999999999999999999923 dqadd6471 add -77e-33 10 -> 9.999999999999999999999999999999923 dqadd6472 add -77e-34 10 -> 9.999999999999999999999999999999992 Inexact Rounded dqadd6473 add -77e-35 10 -> 9.999999999999999999999999999999999 Inexact Rounded dqadd6474 add -77e-36 10 -> 10.00000000000000000000000000000000 Inexact Rounded dqadd6475 add -77e-37 10 -> 10.00000000000000000000000000000000 Inexact Rounded dqadd6476 add -77e-99 10 -> 10.00000000000000000000000000000000 Inexact Rounded -- negative ulps dqadd6480 add -1 77e-32 -> -0.99999999999999999999999999999923 dqadd6481 add -1 77e-33 -> -0.999999999999999999999999999999923 dqadd6482 add -1 77e-34 -> -0.9999999999999999999999999999999923 dqadd6483 add -1 77e-35 -> -0.9999999999999999999999999999999992 Inexact Rounded dqadd6484 add -1 77e-36 -> -0.9999999999999999999999999999999999 Inexact Rounded dqadd6485 add -1 77e-37 -> -1.000000000000000000000000000000000 Inexact Rounded dqadd6486 add -1 77e-99 -> -1.000000000000000000000000000000000 Inexact Rounded dqadd6490 add -10 77e-32 -> -9.99999999999999999999999999999923 dqadd6491 add -10 77e-33 -> -9.999999999999999999999999999999923 dqadd6492 add -10 77e-34 -> -9.999999999999999999999999999999992 Inexact Rounded dqadd6493 add -10 77e-35 -> -9.999999999999999999999999999999999 Inexact Rounded dqadd6494 add -10 77e-36 -> -10.00000000000000000000000000000000 Inexact Rounded dqadd6495 add -10 77e-37 -> -10.00000000000000000000000000000000 Inexact Rounded dqadd6496 add -10 77e-99 -> -10.00000000000000000000000000000000 Inexact Rounded dqadd6500 add 77e-32 -1 -> -0.99999999999999999999999999999923 dqadd6501 add 77e-33 -1 -> -0.999999999999999999999999999999923 dqadd6502 add 77e-34 -1 -> -0.9999999999999999999999999999999923 dqadd6503 add 77e-35 -1 -> -0.9999999999999999999999999999999992 Inexact Rounded dqadd6504 add 77e-36 -1 -> -0.9999999999999999999999999999999999 Inexact Rounded dqadd6505 add 77e-37 -1 -> -1.000000000000000000000000000000000 Inexact Rounded dqadd6506 add 77e-99 -1 -> -1.000000000000000000000000000000000 Inexact Rounded dqadd6510 add 77e-32 -10 -> -9.99999999999999999999999999999923 dqadd6511 add 77e-33 -10 -> -9.999999999999999999999999999999923 dqadd6512 add 77e-34 -10 -> -9.999999999999999999999999999999992 Inexact Rounded dqadd6513 add 77e-35 -10 -> -9.999999999999999999999999999999999 Inexact Rounded dqadd6514 add 77e-36 -10 -> -10.00000000000000000000000000000000 Inexact Rounded dqadd6515 add 77e-37 -10 -> -10.00000000000000000000000000000000 Inexact Rounded dqadd6516 add 77e-99 -10 -> -10.00000000000000000000000000000000 Inexact Rounded -- and some more residue effects and different roundings rounding: half_up dqadd6540 add '9876543219876543216543210123456789' 0 -> '9876543219876543216543210123456789' dqadd6541 add '9876543219876543216543210123456789' 0.000000001 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6542 add '9876543219876543216543210123456789' 0.000001 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6543 add '9876543219876543216543210123456789' 0.1 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6544 add '9876543219876543216543210123456789' 0.4 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6545 add '9876543219876543216543210123456789' 0.49 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6546 add '9876543219876543216543210123456789' 0.499999 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6547 add '9876543219876543216543210123456789' 0.499999999 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6548 add '9876543219876543216543210123456789' 0.5 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6549 add '9876543219876543216543210123456789' 0.500000001 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6550 add '9876543219876543216543210123456789' 0.500001 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6551 add '9876543219876543216543210123456789' 0.51 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6552 add '9876543219876543216543210123456789' 0.6 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6553 add '9876543219876543216543210123456789' 0.9 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6554 add '9876543219876543216543210123456789' 0.99999 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6555 add '9876543219876543216543210123456789' 0.999999999 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6556 add '9876543219876543216543210123456789' 1 -> '9876543219876543216543210123456790' dqadd6557 add '9876543219876543216543210123456789' 1.000000001 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6558 add '9876543219876543216543210123456789' 1.00001 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6559 add '9876543219876543216543210123456789' 1.1 -> '9876543219876543216543210123456790' Inexact Rounded rounding: half_even dqadd6560 add '9876543219876543216543210123456789' 0 -> '9876543219876543216543210123456789' dqadd6561 add '9876543219876543216543210123456789' 0.000000001 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6562 add '9876543219876543216543210123456789' 0.000001 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6563 add '9876543219876543216543210123456789' 0.1 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6564 add '9876543219876543216543210123456789' 0.4 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6565 add '9876543219876543216543210123456789' 0.49 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6566 add '9876543219876543216543210123456789' 0.499999 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6567 add '9876543219876543216543210123456789' 0.499999999 -> '9876543219876543216543210123456789' Inexact Rounded dqadd6568 add '9876543219876543216543210123456789' 0.5 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6569 add '9876543219876543216543210123456789' 0.500000001 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6570 add '9876543219876543216543210123456789' 0.500001 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6571 add '9876543219876543216543210123456789' 0.51 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6572 add '9876543219876543216543210123456789' 0.6 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6573 add '9876543219876543216543210123456789' 0.9 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6574 add '9876543219876543216543210123456789' 0.99999 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6575 add '9876543219876543216543210123456789' 0.999999999 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6576 add '9876543219876543216543210123456789' 1 -> '9876543219876543216543210123456790' dqadd6577 add '9876543219876543216543210123456789' 1.00000001 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6578 add '9876543219876543216543210123456789' 1.00001 -> '9876543219876543216543210123456790' Inexact Rounded dqadd6579 add '9876543219876543216543210123456789' 1.1 -> '9876543219876543216543210123456790' Inexact Rounded -- critical few with even bottom digit... dqadd7540 add '9876543219876543216543210123456788' 0.499999999 -> '9876543219876543216543210123456788' Inexact Rounded dqadd7541 add '9876543219876543216543210123456788' 0.5 -> '9876543219876543216543210123456788' Inexact Rounded dqadd7542 add '9876543219876543216543210123456788' 0.500000001 -> '9876543219876543216543210123456789' Inexact Rounded rounding: down dqadd7550 add '9876543219876543216543210123456789' 0 -> '9876543219876543216543210123456789' dqadd7551 add '9876543219876543216543210123456789' 0.000000001 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7552 add '9876543219876543216543210123456789' 0.000001 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7553 add '9876543219876543216543210123456789' 0.1 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7554 add '9876543219876543216543210123456789' 0.4 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7555 add '9876543219876543216543210123456789' 0.49 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7556 add '9876543219876543216543210123456789' 0.499999 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7557 add '9876543219876543216543210123456789' 0.499999999 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7558 add '9876543219876543216543210123456789' 0.5 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7559 add '9876543219876543216543210123456789' 0.500000001 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7560 add '9876543219876543216543210123456789' 0.500001 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7561 add '9876543219876543216543210123456789' 0.51 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7562 add '9876543219876543216543210123456789' 0.6 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7563 add '9876543219876543216543210123456789' 0.9 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7564 add '9876543219876543216543210123456789' 0.99999 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7565 add '9876543219876543216543210123456789' 0.999999999 -> '9876543219876543216543210123456789' Inexact Rounded dqadd7566 add '9876543219876543216543210123456789' 1 -> '9876543219876543216543210123456790' dqadd7567 add '9876543219876543216543210123456789' 1.00000001 -> '9876543219876543216543210123456790' Inexact Rounded dqadd7568 add '9876543219876543216543210123456789' 1.00001 -> '9876543219876543216543210123456790' Inexact Rounded dqadd7569 add '9876543219876543216543210123456789' 1.1 -> '9876543219876543216543210123456790' Inexact Rounded -- more zeros, etc. rounding: half_even dqadd7701 add 5.00 1.00E-3 -> 5.00100 dqadd7702 add 00.00 0.000 -> 0.000 dqadd7703 add 00.00 0E-3 -> 0.000 dqadd7704 add 0E-3 00.00 -> 0.000 dqadd7710 add 0E+3 00.00 -> 0.00 dqadd7711 add 0E+3 00.0 -> 0.0 dqadd7712 add 0E+3 00. -> 0 dqadd7713 add 0E+3 00.E+1 -> 0E+1 dqadd7714 add 0E+3 00.E+2 -> 0E+2 dqadd7715 add 0E+3 00.E+3 -> 0E+3 dqadd7716 add 0E+3 00.E+4 -> 0E+3 dqadd7717 add 0E+3 00.E+5 -> 0E+3 dqadd7718 add 0E+3 -00.0 -> 0.0 dqadd7719 add 0E+3 -00. -> 0 dqadd7731 add 0E+3 -00.E+1 -> 0E+1 dqadd7720 add 00.00 0E+3 -> 0.00 dqadd7721 add 00.0 0E+3 -> 0.0 dqadd7722 add 00. 0E+3 -> 0 dqadd7723 add 00.E+1 0E+3 -> 0E+1 dqadd7724 add 00.E+2 0E+3 -> 0E+2 dqadd7725 add 00.E+3 0E+3 -> 0E+3 dqadd7726 add 00.E+4 0E+3 -> 0E+3 dqadd7727 add 00.E+5 0E+3 -> 0E+3 dqadd7728 add -00.00 0E+3 -> 0.00 dqadd7729 add -00.0 0E+3 -> 0.0 dqadd7730 add -00. 0E+3 -> 0 dqadd7732 add 0 0 -> 0 dqadd7733 add 0 -0 -> 0 dqadd7734 add -0 0 -> 0 dqadd7735 add -0 -0 -> -0 -- IEEE 754 special case dqadd7736 add 1 -1 -> 0 dqadd7737 add -1 -1 -> -2 dqadd7738 add 1 1 -> 2 dqadd7739 add -1 1 -> 0 dqadd7741 add 0 -1 -> -1 dqadd7742 add -0 -1 -> -1 dqadd7743 add 0 1 -> 1 dqadd7744 add -0 1 -> 1 dqadd7745 add -1 0 -> -1 dqadd7746 add -1 -0 -> -1 dqadd7747 add 1 0 -> 1 dqadd7748 add 1 -0 -> 1 dqadd7751 add 0.0 -1 -> -1.0 dqadd7752 add -0.0 -1 -> -1.0 dqadd7753 add 0.0 1 -> 1.0 dqadd7754 add -0.0 1 -> 1.0 dqadd7755 add -1.0 0 -> -1.0 dqadd7756 add -1.0 -0 -> -1.0 dqadd7757 add 1.0 0 -> 1.0 dqadd7758 add 1.0 -0 -> 1.0 dqadd7761 add 0 -1.0 -> -1.0 dqadd7762 add -0 -1.0 -> -1.0 dqadd7763 add 0 1.0 -> 1.0 dqadd7764 add -0 1.0 -> 1.0 dqadd7765 add -1 0.0 -> -1.0 dqadd7766 add -1 -0.0 -> -1.0 dqadd7767 add 1 0.0 -> 1.0 dqadd7768 add 1 -0.0 -> 1.0 dqadd7771 add 0.0 -1.0 -> -1.0 dqadd7772 add -0.0 -1.0 -> -1.0 dqadd7773 add 0.0 1.0 -> 1.0 dqadd7774 add -0.0 1.0 -> 1.0 dqadd7775 add -1.0 0.0 -> -1.0 dqadd7776 add -1.0 -0.0 -> -1.0 dqadd7777 add 1.0 0.0 -> 1.0 dqadd7778 add 1.0 -0.0 -> 1.0 -- Specials dqadd7780 add -Inf -Inf -> -Infinity dqadd7781 add -Inf -1000 -> -Infinity dqadd7782 add -Inf -1 -> -Infinity dqadd7783 add -Inf -0 -> -Infinity dqadd7784 add -Inf 0 -> -Infinity dqadd7785 add -Inf 1 -> -Infinity dqadd7786 add -Inf 1000 -> -Infinity dqadd7787 add -1000 -Inf -> -Infinity dqadd7788 add -Inf -Inf -> -Infinity dqadd7789 add -1 -Inf -> -Infinity dqadd7790 add -0 -Inf -> -Infinity dqadd7791 add 0 -Inf -> -Infinity dqadd7792 add 1 -Inf -> -Infinity dqadd7793 add 1000 -Inf -> -Infinity dqadd7794 add Inf -Inf -> NaN Invalid_operation dqadd7800 add Inf -Inf -> NaN Invalid_operation dqadd7801 add Inf -1000 -> Infinity dqadd7802 add Inf -1 -> Infinity dqadd7803 add Inf -0 -> Infinity dqadd7804 add Inf 0 -> Infinity dqadd7805 add Inf 1 -> Infinity dqadd7806 add Inf 1000 -> Infinity dqadd7807 add Inf Inf -> Infinity dqadd7808 add -1000 Inf -> Infinity dqadd7809 add -Inf Inf -> NaN Invalid_operation dqadd7810 add -1 Inf -> Infinity dqadd7811 add -0 Inf -> Infinity dqadd7812 add 0 Inf -> Infinity dqadd7813 add 1 Inf -> Infinity dqadd7814 add 1000 Inf -> Infinity dqadd7815 add Inf Inf -> Infinity dqadd7821 add NaN -Inf -> NaN dqadd7822 add NaN -1000 -> NaN dqadd7823 add NaN -1 -> NaN dqadd7824 add NaN -0 -> NaN dqadd7825 add NaN 0 -> NaN dqadd7826 add NaN 1 -> NaN dqadd7827 add NaN 1000 -> NaN dqadd7828 add NaN Inf -> NaN dqadd7829 add NaN NaN -> NaN dqadd7830 add -Inf NaN -> NaN dqadd7831 add -1000 NaN -> NaN dqadd7832 add -1 NaN -> NaN dqadd7833 add -0 NaN -> NaN dqadd7834 add 0 NaN -> NaN dqadd7835 add 1 NaN -> NaN dqadd7836 add 1000 NaN -> NaN dqadd7837 add Inf NaN -> NaN dqadd7841 add sNaN -Inf -> NaN Invalid_operation dqadd7842 add sNaN -1000 -> NaN Invalid_operation dqadd7843 add sNaN -1 -> NaN Invalid_operation dqadd7844 add sNaN -0 -> NaN Invalid_operation dqadd7845 add sNaN 0 -> NaN Invalid_operation dqadd7846 add sNaN 1 -> NaN Invalid_operation dqadd7847 add sNaN 1000 -> NaN Invalid_operation dqadd7848 add sNaN NaN -> NaN Invalid_operation dqadd7849 add sNaN sNaN -> NaN Invalid_operation dqadd7850 add NaN sNaN -> NaN Invalid_operation dqadd7851 add -Inf sNaN -> NaN Invalid_operation dqadd7852 add -1000 sNaN -> NaN Invalid_operation dqadd7853 add -1 sNaN -> NaN Invalid_operation dqadd7854 add -0 sNaN -> NaN Invalid_operation dqadd7855 add 0 sNaN -> NaN Invalid_operation dqadd7856 add 1 sNaN -> NaN Invalid_operation dqadd7857 add 1000 sNaN -> NaN Invalid_operation dqadd7858 add Inf sNaN -> NaN Invalid_operation dqadd7859 add NaN sNaN -> NaN Invalid_operation -- propagating NaNs dqadd7861 add NaN1 -Inf -> NaN1 dqadd7862 add +NaN2 -1000 -> NaN2 dqadd7863 add NaN3 1000 -> NaN3 dqadd7864 add NaN4 Inf -> NaN4 dqadd7865 add NaN5 +NaN6 -> NaN5 dqadd7866 add -Inf NaN7 -> NaN7 dqadd7867 add -1000 NaN8 -> NaN8 dqadd7868 add 1000 NaN9 -> NaN9 dqadd7869 add Inf +NaN10 -> NaN10 dqadd7871 add sNaN11 -Inf -> NaN11 Invalid_operation dqadd7872 add sNaN12 -1000 -> NaN12 Invalid_operation dqadd7873 add sNaN13 1000 -> NaN13 Invalid_operation dqadd7874 add sNaN14 NaN17 -> NaN14 Invalid_operation dqadd7875 add sNaN15 sNaN18 -> NaN15 Invalid_operation dqadd7876 add NaN16 sNaN19 -> NaN19 Invalid_operation dqadd7877 add -Inf +sNaN20 -> NaN20 Invalid_operation dqadd7878 add -1000 sNaN21 -> NaN21 Invalid_operation dqadd7879 add 1000 sNaN22 -> NaN22 Invalid_operation dqadd7880 add Inf sNaN23 -> NaN23 Invalid_operation dqadd7881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation dqadd7882 add -NaN26 NaN28 -> -NaN26 dqadd7883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation dqadd7884 add 1000 -NaN30 -> -NaN30 dqadd7885 add 1000 -sNaN31 -> -NaN31 Invalid_operation -- Here we explore near the boundary of rounding a subnormal to Nmin dqadd7575 add 1E-6143 -1E-6176 -> 9.99999999999999999999999999999999E-6144 Subnormal dqadd7576 add -1E-6143 +1E-6176 -> -9.99999999999999999999999999999999E-6144 Subnormal -- check overflow edge case -- 1234567890123456 dqadd7972 apply 9.999999999999999999999999999999999E+6144 -> 9.999999999999999999999999999999999E+6144 dqadd7973 add 9.999999999999999999999999999999999E+6144 1 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded dqadd7974 add 9999999999999999999999999999999999E+6111 1 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded dqadd7975 add 9999999999999999999999999999999999E+6111 1E+6111 -> Infinity Overflow Inexact Rounded dqadd7976 add 9999999999999999999999999999999999E+6111 9E+6110 -> Infinity Overflow Inexact Rounded dqadd7977 add 9999999999999999999999999999999999E+6111 8E+6110 -> Infinity Overflow Inexact Rounded dqadd7978 add 9999999999999999999999999999999999E+6111 7E+6110 -> Infinity Overflow Inexact Rounded dqadd7979 add 9999999999999999999999999999999999E+6111 6E+6110 -> Infinity Overflow Inexact Rounded dqadd7980 add 9999999999999999999999999999999999E+6111 5E+6110 -> Infinity Overflow Inexact Rounded dqadd7981 add 9999999999999999999999999999999999E+6111 4E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded dqadd7982 add 9999999999999999999999999999999999E+6111 3E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded dqadd7983 add 9999999999999999999999999999999999E+6111 2E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded dqadd7984 add 9999999999999999999999999999999999E+6111 1E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded dqadd7985 apply -9.999999999999999999999999999999999E+6144 -> -9.999999999999999999999999999999999E+6144 dqadd7986 add -9.999999999999999999999999999999999E+6144 -1 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded dqadd7987 add -9999999999999999999999999999999999E+6111 -1 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded dqadd7988 add -9999999999999999999999999999999999E+6111 -1E+6111 -> -Infinity Overflow Inexact Rounded dqadd7989 add -9999999999999999999999999999999999E+6111 -9E+6110 -> -Infinity Overflow Inexact Rounded dqadd7990 add -9999999999999999999999999999999999E+6111 -8E+6110 -> -Infinity Overflow Inexact Rounded dqadd7991 add -9999999999999999999999999999999999E+6111 -7E+6110 -> -Infinity Overflow Inexact Rounded dqadd7992 add -9999999999999999999999999999999999E+6111 -6E+6110 -> -Infinity Overflow Inexact Rounded dqadd7993 add -9999999999999999999999999999999999E+6111 -5E+6110 -> -Infinity Overflow Inexact Rounded dqadd7994 add -9999999999999999999999999999999999E+6111 -4E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded dqadd7995 add -9999999999999999999999999999999999E+6111 -3E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded dqadd7996 add -9999999999999999999999999999999999E+6111 -2E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded dqadd7997 add -9999999999999999999999999999999999E+6111 -1E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded -- And for round down full and subnormal results rounding: down dqadd71100 add 1e+2 -1e-6143 -> 99.99999999999999999999999999999999 Rounded Inexact dqadd71101 add 1e+1 -1e-6143 -> 9.999999999999999999999999999999999 Rounded Inexact dqadd71103 add +1 -1e-6143 -> 0.9999999999999999999999999999999999 Rounded Inexact dqadd71104 add 1e-1 -1e-6143 -> 0.09999999999999999999999999999999999 Rounded Inexact dqadd71105 add 1e-2 -1e-6143 -> 0.009999999999999999999999999999999999 Rounded Inexact dqadd71106 add 1e-3 -1e-6143 -> 0.0009999999999999999999999999999999999 Rounded Inexact dqadd71107 add 1e-4 -1e-6143 -> 0.00009999999999999999999999999999999999 Rounded Inexact dqadd71108 add 1e-5 -1e-6143 -> 0.000009999999999999999999999999999999999 Rounded Inexact dqadd71109 add 1e-6 -1e-6143 -> 9.999999999999999999999999999999999E-7 Rounded Inexact rounding: ceiling dqadd71110 add -1e+2 +1e-6143 -> -99.99999999999999999999999999999999 Rounded Inexact dqadd71111 add -1e+1 +1e-6143 -> -9.999999999999999999999999999999999 Rounded Inexact dqadd71113 add -1 +1e-6143 -> -0.9999999999999999999999999999999999 Rounded Inexact dqadd71114 add -1e-1 +1e-6143 -> -0.09999999999999999999999999999999999 Rounded Inexact dqadd71115 add -1e-2 +1e-6143 -> -0.009999999999999999999999999999999999 Rounded Inexact dqadd71116 add -1e-3 +1e-6143 -> -0.0009999999999999999999999999999999999 Rounded Inexact dqadd71117 add -1e-4 +1e-6143 -> -0.00009999999999999999999999999999999999 Rounded Inexact dqadd71118 add -1e-5 +1e-6143 -> -0.000009999999999999999999999999999999999 Rounded Inexact dqadd71119 add -1e-6 +1e-6143 -> -9.999999999999999999999999999999999E-7 Rounded Inexact -- tests based on Gunnar Degnbol's edge case rounding: half_even dqadd71300 add 1E34 -0.5 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71310 add 1E34 -0.51 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71311 add 1E34 -0.501 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71312 add 1E34 -0.5001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71313 add 1E34 -0.50001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71314 add 1E34 -0.500001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71315 add 1E34 -0.5000001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71316 add 1E34 -0.50000001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71317 add 1E34 -0.500000001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71318 add 1E34 -0.5000000001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71319 add 1E34 -0.50000000001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71320 add 1E34 -0.500000000001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71321 add 1E34 -0.5000000000001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71322 add 1E34 -0.50000000000001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71323 add 1E34 -0.500000000000001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71324 add 1E34 -0.5000000000000001 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71325 add 1E34 -0.5000000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71326 add 1E34 -0.500000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71327 add 1E34 -0.50000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71328 add 1E34 -0.5000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71329 add 1E34 -0.500000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71330 add 1E34 -0.50000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71331 add 1E34 -0.5000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71332 add 1E34 -0.500000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71333 add 1E34 -0.50000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71334 add 1E34 -0.5000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71335 add 1E34 -0.500000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71336 add 1E34 -0.50000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71337 add 1E34 -0.5000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71338 add 1E34 -0.500 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71339 add 1E34 -0.50 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71340 add 1E34 -5000000.000010001 -> 9999999999999999999999999995000000 Inexact Rounded dqadd71341 add 1E34 -5000000.000000001 -> 9999999999999999999999999995000000 Inexact Rounded dqadd71349 add 9999999999999999999999999999999999 0.4 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71350 add 9999999999999999999999999999999999 0.49 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71351 add 9999999999999999999999999999999999 0.499 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71352 add 9999999999999999999999999999999999 0.4999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71353 add 9999999999999999999999999999999999 0.49999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71354 add 9999999999999999999999999999999999 0.499999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71355 add 9999999999999999999999999999999999 0.4999999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71356 add 9999999999999999999999999999999999 0.49999999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71357 add 9999999999999999999999999999999999 0.499999999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71358 add 9999999999999999999999999999999999 0.4999999999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71359 add 9999999999999999999999999999999999 0.49999999999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71360 add 9999999999999999999999999999999999 0.499999999999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71361 add 9999999999999999999999999999999999 0.4999999999999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71362 add 9999999999999999999999999999999999 0.49999999999999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71363 add 9999999999999999999999999999999999 0.499999999999999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71364 add 9999999999999999999999999999999999 0.4999999999999999 -> 9999999999999999999999999999999999 Inexact Rounded dqadd71365 add 9999999999999999999999999999999999 0.5000000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71367 add 9999999999999999999999999999999999 0.500000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71368 add 9999999999999999999999999999999999 0.50000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71369 add 9999999999999999999999999999999999 0.5000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71370 add 9999999999999999999999999999999999 0.500000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71371 add 9999999999999999999999999999999999 0.50000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71372 add 9999999999999999999999999999999999 0.5000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71373 add 9999999999999999999999999999999999 0.500000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71374 add 9999999999999999999999999999999999 0.50000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71375 add 9999999999999999999999999999999999 0.5000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71376 add 9999999999999999999999999999999999 0.500000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71377 add 9999999999999999999999999999999999 0.50000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71378 add 9999999999999999999999999999999999 0.5000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71379 add 9999999999999999999999999999999999 0.500 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71380 add 9999999999999999999999999999999999 0.50 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71381 add 9999999999999999999999999999999999 0.5 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71382 add 9999999999999999999999999999999999 0.5000000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71383 add 9999999999999999999999999999999999 0.500000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71384 add 9999999999999999999999999999999999 0.50000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71385 add 9999999999999999999999999999999999 0.5000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71386 add 9999999999999999999999999999999999 0.500000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71387 add 9999999999999999999999999999999999 0.50000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71388 add 9999999999999999999999999999999999 0.5000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71389 add 9999999999999999999999999999999999 0.500000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71390 add 9999999999999999999999999999999999 0.50000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71391 add 9999999999999999999999999999999999 0.5000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71392 add 9999999999999999999999999999999999 0.500001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71393 add 9999999999999999999999999999999999 0.50001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71394 add 9999999999999999999999999999999999 0.5001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71395 add 9999999999999999999999999999999999 0.501 -> 1.000000000000000000000000000000000E+34 Inexact Rounded dqadd71396 add 9999999999999999999999999999999999 0.51 -> 1.000000000000000000000000000000000E+34 Inexact Rounded -- More GD edge cases, where difference between the unadjusted -- exponents is larger than the maximum precision and one side is 0 dqadd71420 add 0 1.123456789987654321123456789012345 -> 1.123456789987654321123456789012345 dqadd71421 add 0 1.123456789987654321123456789012345E-1 -> 0.1123456789987654321123456789012345 dqadd71422 add 0 1.123456789987654321123456789012345E-2 -> 0.01123456789987654321123456789012345 dqadd71423 add 0 1.123456789987654321123456789012345E-3 -> 0.001123456789987654321123456789012345 dqadd71424 add 0 1.123456789987654321123456789012345E-4 -> 0.0001123456789987654321123456789012345 dqadd71425 add 0 1.123456789987654321123456789012345E-5 -> 0.00001123456789987654321123456789012345 dqadd71426 add 0 1.123456789987654321123456789012345E-6 -> 0.000001123456789987654321123456789012345 dqadd71427 add 0 1.123456789987654321123456789012345E-7 -> 1.123456789987654321123456789012345E-7 dqadd71428 add 0 1.123456789987654321123456789012345E-8 -> 1.123456789987654321123456789012345E-8 dqadd71429 add 0 1.123456789987654321123456789012345E-9 -> 1.123456789987654321123456789012345E-9 dqadd71430 add 0 1.123456789987654321123456789012345E-10 -> 1.123456789987654321123456789012345E-10 dqadd71431 add 0 1.123456789987654321123456789012345E-11 -> 1.123456789987654321123456789012345E-11 dqadd71432 add 0 1.123456789987654321123456789012345E-12 -> 1.123456789987654321123456789012345E-12 dqadd71433 add 0 1.123456789987654321123456789012345E-13 -> 1.123456789987654321123456789012345E-13 dqadd71434 add 0 1.123456789987654321123456789012345E-14 -> 1.123456789987654321123456789012345E-14 dqadd71435 add 0 1.123456789987654321123456789012345E-15 -> 1.123456789987654321123456789012345E-15 dqadd71436 add 0 1.123456789987654321123456789012345E-16 -> 1.123456789987654321123456789012345E-16 dqadd71437 add 0 1.123456789987654321123456789012345E-17 -> 1.123456789987654321123456789012345E-17 dqadd71438 add 0 1.123456789987654321123456789012345E-18 -> 1.123456789987654321123456789012345E-18 dqadd71439 add 0 1.123456789987654321123456789012345E-19 -> 1.123456789987654321123456789012345E-19 dqadd71440 add 0 1.123456789987654321123456789012345E-20 -> 1.123456789987654321123456789012345E-20 dqadd71441 add 0 1.123456789987654321123456789012345E-21 -> 1.123456789987654321123456789012345E-21 dqadd71442 add 0 1.123456789987654321123456789012345E-22 -> 1.123456789987654321123456789012345E-22 dqadd71443 add 0 1.123456789987654321123456789012345E-23 -> 1.123456789987654321123456789012345E-23 dqadd71444 add 0 1.123456789987654321123456789012345E-24 -> 1.123456789987654321123456789012345E-24 dqadd71445 add 0 1.123456789987654321123456789012345E-25 -> 1.123456789987654321123456789012345E-25 dqadd71446 add 0 1.123456789987654321123456789012345E-26 -> 1.123456789987654321123456789012345E-26 dqadd71447 add 0 1.123456789987654321123456789012345E-27 -> 1.123456789987654321123456789012345E-27 dqadd71448 add 0 1.123456789987654321123456789012345E-28 -> 1.123456789987654321123456789012345E-28 dqadd71449 add 0 1.123456789987654321123456789012345E-29 -> 1.123456789987654321123456789012345E-29 dqadd71450 add 0 1.123456789987654321123456789012345E-30 -> 1.123456789987654321123456789012345E-30 dqadd71451 add 0 1.123456789987654321123456789012345E-31 -> 1.123456789987654321123456789012345E-31 dqadd71452 add 0 1.123456789987654321123456789012345E-32 -> 1.123456789987654321123456789012345E-32 dqadd71453 add 0 1.123456789987654321123456789012345E-33 -> 1.123456789987654321123456789012345E-33 dqadd71454 add 0 1.123456789987654321123456789012345E-34 -> 1.123456789987654321123456789012345E-34 dqadd71455 add 0 1.123456789987654321123456789012345E-35 -> 1.123456789987654321123456789012345E-35 dqadd71456 add 0 1.123456789987654321123456789012345E-36 -> 1.123456789987654321123456789012345E-36 -- same, reversed 0 dqadd71460 add 1.123456789987654321123456789012345 0 -> 1.123456789987654321123456789012345 dqadd71461 add 1.123456789987654321123456789012345E-1 0 -> 0.1123456789987654321123456789012345 dqadd71462 add 1.123456789987654321123456789012345E-2 0 -> 0.01123456789987654321123456789012345 dqadd71463 add 1.123456789987654321123456789012345E-3 0 -> 0.001123456789987654321123456789012345 dqadd71464 add 1.123456789987654321123456789012345E-4 0 -> 0.0001123456789987654321123456789012345 dqadd71465 add 1.123456789987654321123456789012345E-5 0 -> 0.00001123456789987654321123456789012345 dqadd71466 add 1.123456789987654321123456789012345E-6 0 -> 0.000001123456789987654321123456789012345 dqadd71467 add 1.123456789987654321123456789012345E-7 0 -> 1.123456789987654321123456789012345E-7 dqadd71468 add 1.123456789987654321123456789012345E-8 0 -> 1.123456789987654321123456789012345E-8 dqadd71469 add 1.123456789987654321123456789012345E-9 0 -> 1.123456789987654321123456789012345E-9 dqadd71470 add 1.123456789987654321123456789012345E-10 0 -> 1.123456789987654321123456789012345E-10 dqadd71471 add 1.123456789987654321123456789012345E-11 0 -> 1.123456789987654321123456789012345E-11 dqadd71472 add 1.123456789987654321123456789012345E-12 0 -> 1.123456789987654321123456789012345E-12 dqadd71473 add 1.123456789987654321123456789012345E-13 0 -> 1.123456789987654321123456789012345E-13 dqadd71474 add 1.123456789987654321123456789012345E-14 0 -> 1.123456789987654321123456789012345E-14 dqadd71475 add 1.123456789987654321123456789012345E-15 0 -> 1.123456789987654321123456789012345E-15 dqadd71476 add 1.123456789987654321123456789012345E-16 0 -> 1.123456789987654321123456789012345E-16 dqadd71477 add 1.123456789987654321123456789012345E-17 0 -> 1.123456789987654321123456789012345E-17 dqadd71478 add 1.123456789987654321123456789012345E-18 0 -> 1.123456789987654321123456789012345E-18 dqadd71479 add 1.123456789987654321123456789012345E-19 0 -> 1.123456789987654321123456789012345E-19 dqadd71480 add 1.123456789987654321123456789012345E-20 0 -> 1.123456789987654321123456789012345E-20 dqadd71481 add 1.123456789987654321123456789012345E-21 0 -> 1.123456789987654321123456789012345E-21 dqadd71482 add 1.123456789987654321123456789012345E-22 0 -> 1.123456789987654321123456789012345E-22 dqadd71483 add 1.123456789987654321123456789012345E-23 0 -> 1.123456789987654321123456789012345E-23 dqadd71484 add 1.123456789987654321123456789012345E-24 0 -> 1.123456789987654321123456789012345E-24 dqadd71485 add 1.123456789987654321123456789012345E-25 0 -> 1.123456789987654321123456789012345E-25 dqadd71486 add 1.123456789987654321123456789012345E-26 0 -> 1.123456789987654321123456789012345E-26 dqadd71487 add 1.123456789987654321123456789012345E-27 0 -> 1.123456789987654321123456789012345E-27 dqadd71488 add 1.123456789987654321123456789012345E-28 0 -> 1.123456789987654321123456789012345E-28 dqadd71489 add 1.123456789987654321123456789012345E-29 0 -> 1.123456789987654321123456789012345E-29 dqadd71490 add 1.123456789987654321123456789012345E-30 0 -> 1.123456789987654321123456789012345E-30 dqadd71491 add 1.123456789987654321123456789012345E-31 0 -> 1.123456789987654321123456789012345E-31 dqadd71492 add 1.123456789987654321123456789012345E-32 0 -> 1.123456789987654321123456789012345E-32 dqadd71493 add 1.123456789987654321123456789012345E-33 0 -> 1.123456789987654321123456789012345E-33 dqadd71494 add 1.123456789987654321123456789012345E-34 0 -> 1.123456789987654321123456789012345E-34 dqadd71495 add 1.123456789987654321123456789012345E-35 0 -> 1.123456789987654321123456789012345E-35 dqadd71496 add 1.123456789987654321123456789012345E-36 0 -> 1.123456789987654321123456789012345E-36 -- same, Es on the 0 dqadd71500 add 1.123456789987654321123456789012345 0E-0 -> 1.123456789987654321123456789012345 dqadd71501 add 1.123456789987654321123456789012345 0E-1 -> 1.123456789987654321123456789012345 dqadd71502 add 1.123456789987654321123456789012345 0E-2 -> 1.123456789987654321123456789012345 dqadd71503 add 1.123456789987654321123456789012345 0E-3 -> 1.123456789987654321123456789012345 dqadd71504 add 1.123456789987654321123456789012345 0E-4 -> 1.123456789987654321123456789012345 dqadd71505 add 1.123456789987654321123456789012345 0E-5 -> 1.123456789987654321123456789012345 dqadd71506 add 1.123456789987654321123456789012345 0E-6 -> 1.123456789987654321123456789012345 dqadd71507 add 1.123456789987654321123456789012345 0E-7 -> 1.123456789987654321123456789012345 dqadd71508 add 1.123456789987654321123456789012345 0E-8 -> 1.123456789987654321123456789012345 dqadd71509 add 1.123456789987654321123456789012345 0E-9 -> 1.123456789987654321123456789012345 dqadd71510 add 1.123456789987654321123456789012345 0E-10 -> 1.123456789987654321123456789012345 dqadd71511 add 1.123456789987654321123456789012345 0E-11 -> 1.123456789987654321123456789012345 dqadd71512 add 1.123456789987654321123456789012345 0E-12 -> 1.123456789987654321123456789012345 dqadd71513 add 1.123456789987654321123456789012345 0E-13 -> 1.123456789987654321123456789012345 dqadd71514 add 1.123456789987654321123456789012345 0E-14 -> 1.123456789987654321123456789012345 dqadd71515 add 1.123456789987654321123456789012345 0E-15 -> 1.123456789987654321123456789012345 dqadd71516 add 1.123456789987654321123456789012345 0E-16 -> 1.123456789987654321123456789012345 dqadd71517 add 1.123456789987654321123456789012345 0E-17 -> 1.123456789987654321123456789012345 dqadd71518 add 1.123456789987654321123456789012345 0E-18 -> 1.123456789987654321123456789012345 dqadd71519 add 1.123456789987654321123456789012345 0E-19 -> 1.123456789987654321123456789012345 dqadd71520 add 1.123456789987654321123456789012345 0E-20 -> 1.123456789987654321123456789012345 dqadd71521 add 1.123456789987654321123456789012345 0E-21 -> 1.123456789987654321123456789012345 dqadd71522 add 1.123456789987654321123456789012345 0E-22 -> 1.123456789987654321123456789012345 dqadd71523 add 1.123456789987654321123456789012345 0E-23 -> 1.123456789987654321123456789012345 dqadd71524 add 1.123456789987654321123456789012345 0E-24 -> 1.123456789987654321123456789012345 dqadd71525 add 1.123456789987654321123456789012345 0E-25 -> 1.123456789987654321123456789012345 dqadd71526 add 1.123456789987654321123456789012345 0E-26 -> 1.123456789987654321123456789012345 dqadd71527 add 1.123456789987654321123456789012345 0E-27 -> 1.123456789987654321123456789012345 dqadd71528 add 1.123456789987654321123456789012345 0E-28 -> 1.123456789987654321123456789012345 dqadd71529 add 1.123456789987654321123456789012345 0E-29 -> 1.123456789987654321123456789012345 dqadd71530 add 1.123456789987654321123456789012345 0E-30 -> 1.123456789987654321123456789012345 dqadd71531 add 1.123456789987654321123456789012345 0E-31 -> 1.123456789987654321123456789012345 dqadd71532 add 1.123456789987654321123456789012345 0E-32 -> 1.123456789987654321123456789012345 dqadd71533 add 1.123456789987654321123456789012345 0E-33 -> 1.123456789987654321123456789012345 -- next four flag Rounded because the 0 extends the result dqadd71534 add 1.123456789987654321123456789012345 0E-34 -> 1.123456789987654321123456789012345 Rounded dqadd71535 add 1.123456789987654321123456789012345 0E-35 -> 1.123456789987654321123456789012345 Rounded dqadd71536 add 1.123456789987654321123456789012345 0E-36 -> 1.123456789987654321123456789012345 Rounded dqadd71537 add 1.123456789987654321123456789012345 0E-37 -> 1.123456789987654321123456789012345 Rounded -- sum of two opposite-sign operands is exactly 0 and floor => -0 rounding: half_up -- exact zeros from zeros dqadd71600 add 0 0E-19 -> 0E-19 dqadd71601 add -0 0E-19 -> 0E-19 dqadd71602 add 0 -0E-19 -> 0E-19 dqadd71603 add -0 -0E-19 -> -0E-19 -- exact zeros from non-zeros dqadd71611 add -11 11 -> 0 dqadd71612 add 11 -11 -> 0 rounding: half_down -- exact zeros from zeros dqadd71620 add 0 0E-19 -> 0E-19 dqadd71621 add -0 0E-19 -> 0E-19 dqadd71622 add 0 -0E-19 -> 0E-19 dqadd71623 add -0 -0E-19 -> -0E-19 -- exact zeros from non-zeros dqadd71631 add -11 11 -> 0 dqadd71632 add 11 -11 -> 0 rounding: half_even -- exact zeros from zeros dqadd71640 add 0 0E-19 -> 0E-19 dqadd71641 add -0 0E-19 -> 0E-19 dqadd71642 add 0 -0E-19 -> 0E-19 dqadd71643 add -0 -0E-19 -> -0E-19 -- exact zeros from non-zeros dqadd71651 add -11 11 -> 0 dqadd71652 add 11 -11 -> 0 rounding: up -- exact zeros from zeros dqadd71660 add 0 0E-19 -> 0E-19 dqadd71661 add -0 0E-19 -> 0E-19 dqadd71662 add 0 -0E-19 -> 0E-19 dqadd71663 add -0 -0E-19 -> -0E-19 -- exact zeros from non-zeros dqadd71671 add -11 11 -> 0 dqadd71672 add 11 -11 -> 0 rounding: down -- exact zeros from zeros dqadd71680 add 0 0E-19 -> 0E-19 dqadd71681 add -0 0E-19 -> 0E-19 dqadd71682 add 0 -0E-19 -> 0E-19 dqadd71683 add -0 -0E-19 -> -0E-19 -- exact zeros from non-zeros dqadd71691 add -11 11 -> 0 dqadd71692 add 11 -11 -> 0 rounding: ceiling -- exact zeros from zeros dqadd71700 add 0 0E-19 -> 0E-19 dqadd71701 add -0 0E-19 -> 0E-19 dqadd71702 add 0 -0E-19 -> 0E-19 dqadd71703 add -0 -0E-19 -> -0E-19 -- exact zeros from non-zeros dqadd71711 add -11 11 -> 0 dqadd71712 add 11 -11 -> 0 -- and the extra-special ugly case; unusual minuses marked by -- * rounding: floor -- exact zeros from zeros dqadd71720 add 0 0E-19 -> 0E-19 dqadd71721 add -0 0E-19 -> -0E-19 -- * dqadd71722 add 0 -0E-19 -> -0E-19 -- * dqadd71723 add -0 -0E-19 -> -0E-19 -- exact zeros from non-zeros dqadd71731 add -11 11 -> -0 -- * dqadd71732 add 11 -11 -> -0 -- * -- Examples from SQL proposal (Krishna Kulkarni) dqadd71741 add 130E-2 120E-2 -> 2.50 dqadd71742 add 130E-2 12E-1 -> 2.50 dqadd71743 add 130E-2 1E0 -> 2.30 dqadd71744 add 1E2 1E4 -> 1.01E+4 dqadd71745 add 130E-2 -120E-2 -> 0.10 dqadd71746 add 130E-2 -12E-1 -> 0.10 dqadd71747 add 130E-2 -1E0 -> 0.30 dqadd71748 add 1E2 -1E4 -> -9.9E+3 -- Gappy coefficients; check residue handling even with full coefficient gap rounding: half_even dqadd75001 add 1239876543211234567894567890123456 1 -> 1239876543211234567894567890123457 dqadd75002 add 1239876543211234567894567890123456 0.6 -> 1239876543211234567894567890123457 Inexact Rounded dqadd75003 add 1239876543211234567894567890123456 0.06 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75004 add 1239876543211234567894567890123456 6E-3 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75005 add 1239876543211234567894567890123456 6E-4 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75006 add 1239876543211234567894567890123456 6E-5 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75007 add 1239876543211234567894567890123456 6E-6 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75008 add 1239876543211234567894567890123456 6E-7 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75009 add 1239876543211234567894567890123456 6E-8 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75010 add 1239876543211234567894567890123456 6E-9 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75011 add 1239876543211234567894567890123456 6E-10 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75012 add 1239876543211234567894567890123456 6E-11 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75013 add 1239876543211234567894567890123456 6E-12 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75014 add 1239876543211234567894567890123456 6E-13 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75015 add 1239876543211234567894567890123456 6E-14 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75016 add 1239876543211234567894567890123456 6E-15 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75017 add 1239876543211234567894567890123456 6E-16 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75018 add 1239876543211234567894567890123456 6E-17 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75019 add 1239876543211234567894567890123456 6E-18 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75020 add 1239876543211234567894567890123456 6E-19 -> 1239876543211234567894567890123456 Inexact Rounded dqadd75021 add 1239876543211234567894567890123456 6E-20 -> 1239876543211234567894567890123456 Inexact Rounded -- widening second argument at gap dqadd75030 add 12398765432112345678945678 1 -> 12398765432112345678945679 dqadd75031 add 12398765432112345678945678 0.1 -> 12398765432112345678945678.1 dqadd75032 add 12398765432112345678945678 0.12 -> 12398765432112345678945678.12 dqadd75033 add 12398765432112345678945678 0.123 -> 12398765432112345678945678.123 dqadd75034 add 12398765432112345678945678 0.1234 -> 12398765432112345678945678.1234 dqadd75035 add 12398765432112345678945678 0.12345 -> 12398765432112345678945678.12345 dqadd75036 add 12398765432112345678945678 0.123456 -> 12398765432112345678945678.123456 dqadd75037 add 12398765432112345678945678 0.1234567 -> 12398765432112345678945678.1234567 dqadd75038 add 12398765432112345678945678 0.12345678 -> 12398765432112345678945678.12345678 dqadd75039 add 12398765432112345678945678 0.123456789 -> 12398765432112345678945678.12345679 Inexact Rounded dqadd75040 add 12398765432112345678945678 0.123456785 -> 12398765432112345678945678.12345678 Inexact Rounded dqadd75041 add 12398765432112345678945678 0.1234567850 -> 12398765432112345678945678.12345678 Inexact Rounded dqadd75042 add 12398765432112345678945678 0.1234567851 -> 12398765432112345678945678.12345679 Inexact Rounded dqadd75043 add 12398765432112345678945678 0.12345678501 -> 12398765432112345678945678.12345679 Inexact Rounded dqadd75044 add 12398765432112345678945678 0.123456785001 -> 12398765432112345678945678.12345679 Inexact Rounded dqadd75045 add 12398765432112345678945678 0.1234567850001 -> 12398765432112345678945678.12345679 Inexact Rounded dqadd75046 add 12398765432112345678945678 0.12345678500001 -> 12398765432112345678945678.12345679 Inexact Rounded dqadd75047 add 12398765432112345678945678 0.123456785000001 -> 12398765432112345678945678.12345679 Inexact Rounded dqadd75048 add 12398765432112345678945678 0.1234567850000001 -> 12398765432112345678945678.12345679 Inexact Rounded dqadd75049 add 12398765432112345678945678 0.1234567850000000 -> 12398765432112345678945678.12345678 Inexact Rounded -- 90123456 rounding: half_even dqadd75050 add 12398765432112345678945678 0.0234567750000000 -> 12398765432112345678945678.02345678 Inexact Rounded dqadd75051 add 12398765432112345678945678 0.0034567750000000 -> 12398765432112345678945678.00345678 Inexact Rounded dqadd75052 add 12398765432112345678945678 0.0004567750000000 -> 12398765432112345678945678.00045678 Inexact Rounded dqadd75053 add 12398765432112345678945678 0.0000567750000000 -> 12398765432112345678945678.00005678 Inexact Rounded dqadd75054 add 12398765432112345678945678 0.0000067750000000 -> 12398765432112345678945678.00000678 Inexact Rounded dqadd75055 add 12398765432112345678945678 0.0000007750000000 -> 12398765432112345678945678.00000078 Inexact Rounded dqadd75056 add 12398765432112345678945678 0.0000000750000000 -> 12398765432112345678945678.00000008 Inexact Rounded dqadd75057 add 12398765432112345678945678 0.0000000050000000 -> 12398765432112345678945678.00000000 Inexact Rounded dqadd75060 add 12398765432112345678945678 0.0234567750000001 -> 12398765432112345678945678.02345678 Inexact Rounded dqadd75061 add 12398765432112345678945678 0.0034567750000001 -> 12398765432112345678945678.00345678 Inexact Rounded dqadd75062 add 12398765432112345678945678 0.0004567750000001 -> 12398765432112345678945678.00045678 Inexact Rounded dqadd75063 add 12398765432112345678945678 0.0000567750000001 -> 12398765432112345678945678.00005678 Inexact Rounded dqadd75064 add 12398765432112345678945678 0.0000067750000001 -> 12398765432112345678945678.00000678 Inexact Rounded dqadd75065 add 12398765432112345678945678 0.0000007750000001 -> 12398765432112345678945678.00000078 Inexact Rounded dqadd75066 add 12398765432112345678945678 0.0000000750000001 -> 12398765432112345678945678.00000008 Inexact Rounded dqadd75067 add 12398765432112345678945678 0.0000000050000001 -> 12398765432112345678945678.00000001 Inexact Rounded -- far-out residues (full coefficient gap is 16+15 digits) rounding: up dqadd75070 add 12398765432112345678945678 1E-8 -> 12398765432112345678945678.00000001 dqadd75071 add 12398765432112345678945678 1E-9 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75072 add 12398765432112345678945678 1E-10 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75073 add 12398765432112345678945678 1E-11 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75074 add 12398765432112345678945678 1E-12 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75075 add 12398765432112345678945678 1E-13 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75076 add 12398765432112345678945678 1E-14 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75077 add 12398765432112345678945678 1E-15 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75078 add 12398765432112345678945678 1E-16 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75079 add 12398765432112345678945678 1E-17 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75080 add 12398765432112345678945678 1E-18 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75081 add 12398765432112345678945678 1E-19 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75082 add 12398765432112345678945678 1E-20 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75083 add 12398765432112345678945678 1E-25 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75084 add 12398765432112345678945678 1E-30 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75085 add 12398765432112345678945678 1E-31 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75086 add 12398765432112345678945678 1E-32 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75087 add 12398765432112345678945678 1E-33 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75088 add 12398765432112345678945678 1E-34 -> 12398765432112345678945678.00000001 Inexact Rounded dqadd75089 add 12398765432112345678945678 1E-35 -> 12398765432112345678945678.00000001 Inexact Rounded -- Null tests dqadd9990 add 10 # -> NaN Invalid_operation dqadd9991 add # 10 -> NaN Invalid_operation
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