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- ------------------------------------------------------------------------
- -- ddAdd.decTest -- decDouble 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 decDoubles only; all arguments are
- -- representable in a decDouble
- precision: 16
- maxExponent: 384
- minExponent: -383
- extended: 1
- clamp: 1
- rounding: half_even
- -- [first group are 'quick confidence check']
- ddadd001 add 1 1 -> 2
- ddadd002 add 2 3 -> 5
- ddadd003 add '5.75' '3.3' -> 9.05
- ddadd004 add '5' '-3' -> 2
- ddadd005 add '-5' '-3' -> -8
- ddadd006 add '-7' '2.5' -> -4.5
- ddadd007 add '0.7' '0.3' -> 1.0
- ddadd008 add '1.25' '1.25' -> 2.50
- ddadd009 add '1.23456789' '1.00000000' -> '2.23456789'
- ddadd010 add '1.23456789' '1.00000011' -> '2.23456800'
- -- 1234567890123456 1234567890123456
- ddadd011 add '0.4444444444444446' '0.5555555555555555' -> '1.000000000000000' Inexact Rounded
- ddadd012 add '0.4444444444444445' '0.5555555555555555' -> '1.000000000000000' Rounded
- ddadd013 add '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999'
- ddadd014 add '4444444444444444' '0.49' -> '4444444444444444' Inexact Rounded
- ddadd015 add '4444444444444444' '0.499' -> '4444444444444444' Inexact Rounded
- ddadd016 add '4444444444444444' '0.4999' -> '4444444444444444' Inexact Rounded
- ddadd017 add '4444444444444444' '0.5000' -> '4444444444444444' Inexact Rounded
- ddadd018 add '4444444444444444' '0.5001' -> '4444444444444445' Inexact Rounded
- ddadd019 add '4444444444444444' '0.501' -> '4444444444444445' Inexact Rounded
- ddadd020 add '4444444444444444' '0.51' -> '4444444444444445' Inexact Rounded
- ddadd021 add 0 1 -> 1
- ddadd022 add 1 1 -> 2
- ddadd023 add 2 1 -> 3
- ddadd024 add 3 1 -> 4
- ddadd025 add 4 1 -> 5
- ddadd026 add 5 1 -> 6
- ddadd027 add 6 1 -> 7
- ddadd028 add 7 1 -> 8
- ddadd029 add 8 1 -> 9
- ddadd030 add 9 1 -> 10
- -- some carrying effects
- ddadd031 add '0.9998' '0.0000' -> '0.9998'
- ddadd032 add '0.9998' '0.0001' -> '0.9999'
- ddadd033 add '0.9998' '0.0002' -> '1.0000'
- ddadd034 add '0.9998' '0.0003' -> '1.0001'
- ddadd035 add '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
- ddadd036 add '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
- ddadd037 add '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
- ddadd038 add '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded
- ddadd039 add '700000' '10000e+16' -> '1.000000000000007E+20' Rounded
- -- symmetry:
- ddadd040 add '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
- ddadd041 add '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
- ddadd042 add '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded
- ddadd044 add '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded
- ddadd045 add '10000e+16' '700000' -> '1.000000000000007E+20' Rounded
- -- same, without rounding
- ddadd046 add '10000e+9' '7' -> '10000000000007'
- ddadd047 add '10000e+9' '70' -> '10000000000070'
- ddadd048 add '10000e+9' '700' -> '10000000000700'
- ddadd049 add '10000e+9' '7000' -> '10000000007000'
- ddadd050 add '10000e+9' '70000' -> '10000000070000'
- ddadd051 add '10000e+9' '700000' -> '10000000700000'
- ddadd052 add '10000e+9' '7000000' -> '10000007000000'
- -- examples from decarith
- ddadd053 add '12' '7.00' -> '19.00'
- ddadd054 add '1.3' '-1.07' -> '0.23'
- ddadd055 add '1.3' '-1.30' -> '0.00'
- ddadd056 add '1.3' '-2.07' -> '-0.77'
- ddadd057 add '1E+2' '1E+4' -> '1.01E+4'
- -- leading zero preservation
- ddadd061 add 1 '0.0001' -> '1.0001'
- ddadd062 add 1 '0.00001' -> '1.00001'
- ddadd063 add 1 '0.000001' -> '1.000001'
- ddadd064 add 1 '0.0000001' -> '1.0000001'
- ddadd065 add 1 '0.00000001' -> '1.00000001'
- -- some funny zeros [in case of bad signum]
- ddadd070 add 1 0 -> 1
- ddadd071 add 1 0. -> 1
- ddadd072 add 1 .0 -> 1.0
- ddadd073 add 1 0.0 -> 1.0
- ddadd074 add 1 0.00 -> 1.00
- ddadd075 add 0 1 -> 1
- ddadd076 add 0. 1 -> 1
- ddadd077 add .0 1 -> 1.0
- ddadd078 add 0.0 1 -> 1.0
- ddadd079 add 0.00 1 -> 1.00
- -- some carries
- ddadd080 add 999999998 1 -> 999999999
- ddadd081 add 999999999 1 -> 1000000000
- ddadd082 add 99999999 1 -> 100000000
- ddadd083 add 9999999 1 -> 10000000
- ddadd084 add 999999 1 -> 1000000
- ddadd085 add 99999 1 -> 100000
- ddadd086 add 9999 1 -> 10000
- ddadd087 add 999 1 -> 1000
- ddadd088 add 99 1 -> 100
- ddadd089 add 9 1 -> 10
- -- more LHS swaps
- ddadd090 add '-56267E-10' 0 -> '-0.0000056267'
- ddadd091 add '-56267E-6' 0 -> '-0.056267'
- ddadd092 add '-56267E-5' 0 -> '-0.56267'
- ddadd093 add '-56267E-4' 0 -> '-5.6267'
- ddadd094 add '-56267E-3' 0 -> '-56.267'
- ddadd095 add '-56267E-2' 0 -> '-562.67'
- ddadd096 add '-56267E-1' 0 -> '-5626.7'
- ddadd097 add '-56267E-0' 0 -> '-56267'
- ddadd098 add '-5E-10' 0 -> '-5E-10'
- ddadd099 add '-5E-7' 0 -> '-5E-7'
- ddadd100 add '-5E-6' 0 -> '-0.000005'
- ddadd101 add '-5E-5' 0 -> '-0.00005'
- ddadd102 add '-5E-4' 0 -> '-0.0005'
- ddadd103 add '-5E-1' 0 -> '-0.5'
- ddadd104 add '-5E0' 0 -> '-5'
- ddadd105 add '-5E1' 0 -> '-50'
- ddadd106 add '-5E5' 0 -> '-500000'
- ddadd107 add '-5E15' 0 -> '-5000000000000000'
- ddadd108 add '-5E16' 0 -> '-5.000000000000000E+16' Rounded
- ddadd109 add '-5E17' 0 -> '-5.000000000000000E+17' Rounded
- ddadd110 add '-5E18' 0 -> '-5.000000000000000E+18' Rounded
- ddadd111 add '-5E100' 0 -> '-5.000000000000000E+100' Rounded
- -- more RHS swaps
- ddadd113 add 0 '-56267E-10' -> '-0.0000056267'
- ddadd114 add 0 '-56267E-6' -> '-0.056267'
- ddadd116 add 0 '-56267E-5' -> '-0.56267'
- ddadd117 add 0 '-56267E-4' -> '-5.6267'
- ddadd119 add 0 '-56267E-3' -> '-56.267'
- ddadd120 add 0 '-56267E-2' -> '-562.67'
- ddadd121 add 0 '-56267E-1' -> '-5626.7'
- ddadd122 add 0 '-56267E-0' -> '-56267'
- ddadd123 add 0 '-5E-10' -> '-5E-10'
- ddadd124 add 0 '-5E-7' -> '-5E-7'
- ddadd125 add 0 '-5E-6' -> '-0.000005'
- ddadd126 add 0 '-5E-5' -> '-0.00005'
- ddadd127 add 0 '-5E-4' -> '-0.0005'
- ddadd128 add 0 '-5E-1' -> '-0.5'
- ddadd129 add 0 '-5E0' -> '-5'
- ddadd130 add 0 '-5E1' -> '-50'
- ddadd131 add 0 '-5E5' -> '-500000'
- ddadd132 add 0 '-5E15' -> '-5000000000000000'
- ddadd133 add 0 '-5E16' -> '-5.000000000000000E+16' Rounded
- ddadd134 add 0 '-5E17' -> '-5.000000000000000E+17' Rounded
- ddadd135 add 0 '-5E18' -> '-5.000000000000000E+18' Rounded
- ddadd136 add 0 '-5E100' -> '-5.000000000000000E+100' Rounded
- -- related
- ddadd137 add 1 '0E-19' -> '1.000000000000000' Rounded
- ddadd138 add -1 '0E-19' -> '-1.000000000000000' Rounded
- ddadd139 add '0E-19' 1 -> '1.000000000000000' Rounded
- ddadd140 add '0E-19' -1 -> '-1.000000000000000' Rounded
- ddadd141 add 1E+11 0.0000 -> '100000000000.0000'
- ddadd142 add 1E+11 0.00000 -> '100000000000.0000' Rounded
- ddadd143 add 0.000 1E+12 -> '1000000000000.000'
- ddadd144 add 0.0000 1E+12 -> '1000000000000.000' Rounded
- -- [some of the next group are really constructor tests]
- ddadd146 add '00.0' 0 -> '0.0'
- ddadd147 add '0.00' 0 -> '0.00'
- ddadd148 add 0 '0.00' -> '0.00'
- ddadd149 add 0 '00.0' -> '0.0'
- ddadd150 add '00.0' '0.00' -> '0.00'
- ddadd151 add '0.00' '00.0' -> '0.00'
- ddadd152 add '3' '.3' -> '3.3'
- ddadd153 add '3.' '.3' -> '3.3'
- ddadd154 add '3.0' '.3' -> '3.3'
- ddadd155 add '3.00' '.3' -> '3.30'
- ddadd156 add '3' '3' -> '6'
- ddadd157 add '3' '+3' -> '6'
- ddadd158 add '3' '-3' -> '0'
- ddadd159 add '0.3' '-0.3' -> '0.0'
- ddadd160 add '0.03' '-0.03' -> '0.00'
- -- try borderline precision, with carries, etc.
- ddadd161 add '1E+12' '-1' -> '999999999999'
- ddadd162 add '1E+12' '1.11' -> '1000000000001.11'
- ddadd163 add '1.11' '1E+12' -> '1000000000001.11'
- ddadd164 add '-1' '1E+12' -> '999999999999'
- ddadd165 add '7E+12' '-1' -> '6999999999999'
- ddadd166 add '7E+12' '1.11' -> '7000000000001.11'
- ddadd167 add '1.11' '7E+12' -> '7000000000001.11'
- ddadd168 add '-1' '7E+12' -> '6999999999999'
- rounding: half_up
- -- 1.234567890123456 1234567890123456 1 234567890123456
- ddadd170 add '4.444444444444444' '0.5555555555555567' -> '5.000000000000001' Inexact Rounded
- ddadd171 add '4.444444444444444' '0.5555555555555566' -> '5.000000000000001' Inexact Rounded
- ddadd172 add '4.444444444444444' '0.5555555555555565' -> '5.000000000000001' Inexact Rounded
- ddadd173 add '4.444444444444444' '0.5555555555555564' -> '5.000000000000000' Inexact Rounded
- ddadd174 add '4.444444444444444' '0.5555555555555553' -> '4.999999999999999' Inexact Rounded
- ddadd175 add '4.444444444444444' '0.5555555555555552' -> '4.999999999999999' Inexact Rounded
- ddadd176 add '4.444444444444444' '0.5555555555555551' -> '4.999999999999999' Inexact Rounded
- ddadd177 add '4.444444444444444' '0.5555555555555550' -> '4.999999999999999' Rounded
- ddadd178 add '4.444444444444444' '0.5555555555555545' -> '4.999999999999999' Inexact Rounded
- ddadd179 add '4.444444444444444' '0.5555555555555544' -> '4.999999999999998' Inexact Rounded
- ddadd180 add '4.444444444444444' '0.5555555555555543' -> '4.999999999999998' Inexact Rounded
- ddadd181 add '4.444444444444444' '0.5555555555555542' -> '4.999999999999998' Inexact Rounded
- ddadd182 add '4.444444444444444' '0.5555555555555541' -> '4.999999999999998' Inexact Rounded
- ddadd183 add '4.444444444444444' '0.5555555555555540' -> '4.999999999999998' Rounded
- -- and some more, including residue effects and different roundings
- rounding: half_up
- ddadd200 add '1234560123456789' 0 -> '1234560123456789'
- ddadd201 add '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded
- ddadd202 add '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded
- ddadd203 add '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded
- ddadd204 add '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded
- ddadd205 add '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded
- ddadd206 add '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded
- ddadd207 add '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded
- ddadd208 add '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded
- ddadd209 add '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded
- ddadd210 add '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded
- ddadd211 add '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded
- ddadd212 add '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded
- ddadd213 add '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded
- ddadd214 add '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded
- ddadd215 add '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded
- ddadd216 add '1234560123456789' 1 -> '1234560123456790'
- ddadd217 add '1234560123456789' 1.000000001 -> '1234560123456790' Inexact Rounded
- ddadd218 add '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded
- ddadd219 add '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded
- rounding: half_even
- ddadd220 add '1234560123456789' 0 -> '1234560123456789'
- ddadd221 add '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded
- ddadd222 add '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded
- ddadd223 add '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded
- ddadd224 add '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded
- ddadd225 add '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded
- ddadd226 add '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded
- ddadd227 add '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded
- ddadd228 add '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded
- ddadd229 add '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded
- ddadd230 add '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded
- ddadd231 add '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded
- ddadd232 add '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded
- ddadd233 add '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded
- ddadd234 add '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded
- ddadd235 add '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded
- ddadd236 add '1234560123456789' 1 -> '1234560123456790'
- ddadd237 add '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded
- ddadd238 add '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded
- ddadd239 add '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded
- -- critical few with even bottom digit...
- ddadd240 add '1234560123456788' 0.499999999 -> '1234560123456788' Inexact Rounded
- ddadd241 add '1234560123456788' 0.5 -> '1234560123456788' Inexact Rounded
- ddadd242 add '1234560123456788' 0.500000001 -> '1234560123456789' Inexact Rounded
- rounding: down
- ddadd250 add '1234560123456789' 0 -> '1234560123456789'
- ddadd251 add '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded
- ddadd252 add '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded
- ddadd253 add '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded
- ddadd254 add '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded
- ddadd255 add '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded
- ddadd256 add '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded
- ddadd257 add '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded
- ddadd258 add '1234560123456789' 0.5 -> '1234560123456789' Inexact Rounded
- ddadd259 add '1234560123456789' 0.500000001 -> '1234560123456789' Inexact Rounded
- ddadd260 add '1234560123456789' 0.500001 -> '1234560123456789' Inexact Rounded
- ddadd261 add '1234560123456789' 0.51 -> '1234560123456789' Inexact Rounded
- ddadd262 add '1234560123456789' 0.6 -> '1234560123456789' Inexact Rounded
- ddadd263 add '1234560123456789' 0.9 -> '1234560123456789' Inexact Rounded
- ddadd264 add '1234560123456789' 0.99999 -> '1234560123456789' Inexact Rounded
- ddadd265 add '1234560123456789' 0.999999999 -> '1234560123456789' Inexact Rounded
- ddadd266 add '1234560123456789' 1 -> '1234560123456790'
- ddadd267 add '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded
- ddadd268 add '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded
- ddadd269 add '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded
- -- 1 in last place tests
- rounding: half_up
- ddadd301 add -1 1 -> 0
- ddadd302 add 0 1 -> 1
- ddadd303 add 1 1 -> 2
- ddadd304 add 12 1 -> 13
- ddadd305 add 98 1 -> 99
- ddadd306 add 99 1 -> 100
- ddadd307 add 100 1 -> 101
- ddadd308 add 101 1 -> 102
- ddadd309 add -1 -1 -> -2
- ddadd310 add 0 -1 -> -1
- ddadd311 add 1 -1 -> 0
- ddadd312 add 12 -1 -> 11
- ddadd313 add 98 -1 -> 97
- ddadd314 add 99 -1 -> 98
- ddadd315 add 100 -1 -> 99
- ddadd316 add 101 -1 -> 100
- ddadd321 add -0.01 0.01 -> 0.00
- ddadd322 add 0.00 0.01 -> 0.01
- ddadd323 add 0.01 0.01 -> 0.02
- ddadd324 add 0.12 0.01 -> 0.13
- ddadd325 add 0.98 0.01 -> 0.99
- ddadd326 add 0.99 0.01 -> 1.00
- ddadd327 add 1.00 0.01 -> 1.01
- ddadd328 add 1.01 0.01 -> 1.02
- ddadd329 add -0.01 -0.01 -> -0.02
- ddadd330 add 0.00 -0.01 -> -0.01
- ddadd331 add 0.01 -0.01 -> 0.00
- ddadd332 add 0.12 -0.01 -> 0.11
- ddadd333 add 0.98 -0.01 -> 0.97
- ddadd334 add 0.99 -0.01 -> 0.98
- ddadd335 add 1.00 -0.01 -> 0.99
- ddadd336 add 1.01 -0.01 -> 1.00
- -- some more cases where adding 0 affects the coefficient
- ddadd340 add 1E+3 0 -> 1000
- ddadd341 add 1E+15 0 -> 1000000000000000
- ddadd342 add 1E+16 0 -> 1.000000000000000E+16 Rounded
- ddadd343 add 1E+20 0 -> 1.000000000000000E+20 Rounded
- -- which simply follow from these cases ...
- ddadd344 add 1E+3 1 -> 1001
- ddadd345 add 1E+15 1 -> 1000000000000001
- ddadd346 add 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded
- ddadd347 add 1E+20 1 -> 1.000000000000000E+20 Inexact Rounded
- ddadd348 add 1E+3 7 -> 1007
- ddadd349 add 1E+15 7 -> 1000000000000007
- ddadd350 add 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded
- ddadd351 add 1E+20 7 -> 1.000000000000000E+20 Inexact Rounded
- -- tryzeros cases
- rounding: half_up
- ddadd360 add 0E+50 10000E+1 -> 1.0000E+5
- ddadd361 add 0E-50 10000E+1 -> 100000.0000000000 Rounded
- ddadd362 add 10000E+1 0E-50 -> 100000.0000000000 Rounded
- ddadd363 add 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact
- ddadd364 add 9.999999999999999E+384 -9.999999999999999E+384 -> 0E+369
- -- a curiosity from JSR 13 testing
- rounding: half_down
- ddadd370 add 999999999999999 815 -> 1000000000000814
- ddadd371 add 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact
- rounding: half_up
- ddadd372 add 999999999999999 815 -> 1000000000000814
- ddadd373 add 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact
- rounding: half_even
- ddadd374 add 999999999999999 815 -> 1000000000000814
- ddadd375 add 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact
- -- operands folded
- ddadd380 add 1E+384 1E+384 -> 2.000000000000000E+384 Clamped
- ddadd381 add 1E+380 1E+380 -> 2.00000000000E+380 Clamped
- ddadd382 add 1E+376 1E+376 -> 2.0000000E+376 Clamped
- ddadd383 add 1E+372 1E+372 -> 2.000E+372 Clamped
- ddadd384 add 1E+370 1E+370 -> 2.0E+370 Clamped
- ddadd385 add 1E+369 1E+369 -> 2E+369
- ddadd386 add 1E+368 1E+368 -> 2E+368
- -- ulp replacement tests
- ddadd400 add 1 77e-14 -> 1.00000000000077
- ddadd401 add 1 77e-15 -> 1.000000000000077
- ddadd402 add 1 77e-16 -> 1.000000000000008 Inexact Rounded
- ddadd403 add 1 77e-17 -> 1.000000000000001 Inexact Rounded
- ddadd404 add 1 77e-18 -> 1.000000000000000 Inexact Rounded
- ddadd405 add 1 77e-19 -> 1.000000000000000 Inexact Rounded
- ddadd406 add 1 77e-299 -> 1.000000000000000 Inexact Rounded
- ddadd410 add 10 77e-14 -> 10.00000000000077
- ddadd411 add 10 77e-15 -> 10.00000000000008 Inexact Rounded
- ddadd412 add 10 77e-16 -> 10.00000000000001 Inexact Rounded
- ddadd413 add 10 77e-17 -> 10.00000000000000 Inexact Rounded
- ddadd414 add 10 77e-18 -> 10.00000000000000 Inexact Rounded
- ddadd415 add 10 77e-19 -> 10.00000000000000 Inexact Rounded
- ddadd416 add 10 77e-299 -> 10.00000000000000 Inexact Rounded
- ddadd420 add 77e-14 1 -> 1.00000000000077
- ddadd421 add 77e-15 1 -> 1.000000000000077
- ddadd422 add 77e-16 1 -> 1.000000000000008 Inexact Rounded
- ddadd423 add 77e-17 1 -> 1.000000000000001 Inexact Rounded
- ddadd424 add 77e-18 1 -> 1.000000000000000 Inexact Rounded
- ddadd425 add 77e-19 1 -> 1.000000000000000 Inexact Rounded
- ddadd426 add 77e-299 1 -> 1.000000000000000 Inexact Rounded
- ddadd430 add 77e-14 10 -> 10.00000000000077
- ddadd431 add 77e-15 10 -> 10.00000000000008 Inexact Rounded
- ddadd432 add 77e-16 10 -> 10.00000000000001 Inexact Rounded
- ddadd433 add 77e-17 10 -> 10.00000000000000 Inexact Rounded
- ddadd434 add 77e-18 10 -> 10.00000000000000 Inexact Rounded
- ddadd435 add 77e-19 10 -> 10.00000000000000 Inexact Rounded
- ddadd436 add 77e-299 10 -> 10.00000000000000 Inexact Rounded
- -- fastpath boundary (more in dqadd)
- -- 1234567890123456
- ddadd539 add '4444444444444444' '3333333333333333' -> '7777777777777777'
- ddadd540 add '4444444444444444' '4444444444444444' -> '8888888888888888'
- ddadd541 add '4444444444444444' '5555555555555555' -> '9999999999999999'
- ddadd542 add '3333333333333333' '4444444444444444' -> '7777777777777777'
- ddadd543 add '4444444444444444' '4444444444444444' -> '8888888888888888'
- ddadd544 add '5555555555555555' '4444444444444444' -> '9999999999999999'
- ddadd545 add '3000004000000000' '3000000000000040' -> '6000004000000040'
- ddadd546 add '3000000400000000' '4000000000000400' -> '7000000400000400'
- ddadd547 add '3000000040000000' '5000000000004000' -> '8000000040004000'
- ddadd548 add '4000000004000000' '3000000000040000' -> '7000000004040000'
- ddadd549 add '4000000000400000' '4000000000400000' -> '8000000000800000'
- ddadd550 add '4000000000040000' '5000000004000000' -> '9000000004040000'
- ddadd551 add '5000000000004000' '3000000040000000' -> '8000000040004000'
- ddadd552 add '5000000000000400' '4000000400000000' -> '9000000400000400'
- ddadd553 add '5000000000000040' '5000004000000000' -> 1.000000400000004E+16 Rounded
- -- check propagation
- ddadd554 add '8999999999999999' '0000000000000001' -> 9000000000000000
- ddadd555 add '0000000000000001' '8999999999999999' -> 9000000000000000
- ddadd556 add '0999999999999999' '0000000000000001' -> 1000000000000000
- ddadd557 add '0000000000000001' '0999999999999999' -> 1000000000000000
- ddadd558 add '4444444444444444' '4555555555555556' -> 9000000000000000
- ddadd559 add '4555555555555556' '4444444444444444' -> 9000000000000000
- -- negative ulps
- ddadd6440 add 1 -77e-14 -> 0.99999999999923
- ddadd6441 add 1 -77e-15 -> 0.999999999999923
- ddadd6442 add 1 -77e-16 -> 0.9999999999999923
- ddadd6443 add 1 -77e-17 -> 0.9999999999999992 Inexact Rounded
- ddadd6444 add 1 -77e-18 -> 0.9999999999999999 Inexact Rounded
- ddadd6445 add 1 -77e-19 -> 1.000000000000000 Inexact Rounded
- ddadd6446 add 1 -77e-99 -> 1.000000000000000 Inexact Rounded
- ddadd6450 add 10 -77e-14 -> 9.99999999999923
- ddadd6451 add 10 -77e-15 -> 9.999999999999923
- ddadd6452 add 10 -77e-16 -> 9.999999999999992 Inexact Rounded
- ddadd6453 add 10 -77e-17 -> 9.999999999999999 Inexact Rounded
- ddadd6454 add 10 -77e-18 -> 10.00000000000000 Inexact Rounded
- ddadd6455 add 10 -77e-19 -> 10.00000000000000 Inexact Rounded
- ddadd6456 add 10 -77e-99 -> 10.00000000000000 Inexact Rounded
- ddadd6460 add -77e-14 1 -> 0.99999999999923
- ddadd6461 add -77e-15 1 -> 0.999999999999923
- ddadd6462 add -77e-16 1 -> 0.9999999999999923
- ddadd6463 add -77e-17 1 -> 0.9999999999999992 Inexact Rounded
- ddadd6464 add -77e-18 1 -> 0.9999999999999999 Inexact Rounded
- ddadd6465 add -77e-19 1 -> 1.000000000000000 Inexact Rounded
- ddadd6466 add -77e-99 1 -> 1.000000000000000 Inexact Rounded
- ddadd6470 add -77e-14 10 -> 9.99999999999923
- ddadd6471 add -77e-15 10 -> 9.999999999999923
- ddadd6472 add -77e-16 10 -> 9.999999999999992 Inexact Rounded
- ddadd6473 add -77e-17 10 -> 9.999999999999999 Inexact Rounded
- ddadd6474 add -77e-18 10 -> 10.00000000000000 Inexact Rounded
- ddadd6475 add -77e-19 10 -> 10.00000000000000 Inexact Rounded
- ddadd6476 add -77e-99 10 -> 10.00000000000000 Inexact Rounded
- -- negative ulps
- ddadd6480 add -1 77e-14 -> -0.99999999999923
- ddadd6481 add -1 77e-15 -> -0.999999999999923
- ddadd6482 add -1 77e-16 -> -0.9999999999999923
- ddadd6483 add -1 77e-17 -> -0.9999999999999992 Inexact Rounded
- ddadd6484 add -1 77e-18 -> -0.9999999999999999 Inexact Rounded
- ddadd6485 add -1 77e-19 -> -1.000000000000000 Inexact Rounded
- ddadd6486 add -1 77e-99 -> -1.000000000000000 Inexact Rounded
- ddadd6490 add -10 77e-14 -> -9.99999999999923
- ddadd6491 add -10 77e-15 -> -9.999999999999923
- ddadd6492 add -10 77e-16 -> -9.999999999999992 Inexact Rounded
- ddadd6493 add -10 77e-17 -> -9.999999999999999 Inexact Rounded
- ddadd6494 add -10 77e-18 -> -10.00000000000000 Inexact Rounded
- ddadd6495 add -10 77e-19 -> -10.00000000000000 Inexact Rounded
- ddadd6496 add -10 77e-99 -> -10.00000000000000 Inexact Rounded
- ddadd6500 add 77e-14 -1 -> -0.99999999999923
- ddadd6501 add 77e-15 -1 -> -0.999999999999923
- ddadd6502 add 77e-16 -1 -> -0.9999999999999923
- ddadd6503 add 77e-17 -1 -> -0.9999999999999992 Inexact Rounded
- ddadd6504 add 77e-18 -1 -> -0.9999999999999999 Inexact Rounded
- ddadd6505 add 77e-19 -1 -> -1.000000000000000 Inexact Rounded
- ddadd6506 add 77e-99 -1 -> -1.000000000000000 Inexact Rounded
- ddadd6510 add 77e-14 -10 -> -9.99999999999923
- ddadd6511 add 77e-15 -10 -> -9.999999999999923
- ddadd6512 add 77e-16 -10 -> -9.999999999999992 Inexact Rounded
- ddadd6513 add 77e-17 -10 -> -9.999999999999999 Inexact Rounded
- ddadd6514 add 77e-18 -10 -> -10.00000000000000 Inexact Rounded
- ddadd6515 add 77e-19 -10 -> -10.00000000000000 Inexact Rounded
- ddadd6516 add 77e-99 -10 -> -10.00000000000000 Inexact Rounded
- -- and some more residue effects and different roundings
- rounding: half_up
- ddadd6540 add '6543210123456789' 0 -> '6543210123456789'
- ddadd6541 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
- ddadd6542 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
- ddadd6543 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
- ddadd6544 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
- ddadd6545 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
- ddadd6546 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
- ddadd6547 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
- ddadd6548 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
- ddadd6549 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
- ddadd6550 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
- ddadd6551 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
- ddadd6552 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
- ddadd6553 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
- ddadd6554 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
- ddadd6555 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
- ddadd6556 add '6543210123456789' 1 -> '6543210123456790'
- ddadd6557 add '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded
- ddadd6558 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
- ddadd6559 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
- rounding: half_even
- ddadd6560 add '6543210123456789' 0 -> '6543210123456789'
- ddadd6561 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
- ddadd6562 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
- ddadd6563 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
- ddadd6564 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
- ddadd6565 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
- ddadd6566 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
- ddadd6567 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
- ddadd6568 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
- ddadd6569 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
- ddadd6570 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
- ddadd6571 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
- ddadd6572 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
- ddadd6573 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
- ddadd6574 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
- ddadd6575 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
- ddadd6576 add '6543210123456789' 1 -> '6543210123456790'
- ddadd6577 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
- ddadd6578 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
- ddadd6579 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
- -- critical few with even bottom digit...
- ddadd7540 add '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded
- ddadd7541 add '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded
- ddadd7542 add '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded
- rounding: down
- ddadd7550 add '6543210123456789' 0 -> '6543210123456789'
- ddadd7551 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
- ddadd7552 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
- ddadd7553 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
- ddadd7554 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
- ddadd7555 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
- ddadd7556 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
- ddadd7557 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
- ddadd7558 add '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded
- ddadd7559 add '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded
- ddadd7560 add '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded
- ddadd7561 add '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded
- ddadd7562 add '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded
- ddadd7563 add '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded
- ddadd7564 add '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded
- ddadd7565 add '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded
- ddadd7566 add '6543210123456789' 1 -> '6543210123456790'
- ddadd7567 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
- ddadd7568 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
- ddadd7569 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
- -- verify a query
- rounding: down
- ddadd7661 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
- ddadd7662 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
- ddadd7663 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
- ddadd7664 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
- -- more zeros, etc.
- rounding: half_even
- ddadd7701 add 5.00 1.00E-3 -> 5.00100
- ddadd7702 add 00.00 0.000 -> 0.000
- ddadd7703 add 00.00 0E-3 -> 0.000
- ddadd7704 add 0E-3 00.00 -> 0.000
- ddadd7710 add 0E+3 00.00 -> 0.00
- ddadd7711 add 0E+3 00.0 -> 0.0
- ddadd7712 add 0E+3 00. -> 0
- ddadd7713 add 0E+3 00.E+1 -> 0E+1
- ddadd7714 add 0E+3 00.E+2 -> 0E+2
- ddadd7715 add 0E+3 00.E+3 -> 0E+3
- ddadd7716 add 0E+3 00.E+4 -> 0E+3
- ddadd7717 add 0E+3 00.E+5 -> 0E+3
- ddadd7718 add 0E+3 -00.0 -> 0.0
- ddadd7719 add 0E+3 -00. -> 0
- ddadd7731 add 0E+3 -00.E+1 -> 0E+1
- ddadd7720 add 00.00 0E+3 -> 0.00
- ddadd7721 add 00.0 0E+3 -> 0.0
- ddadd7722 add 00. 0E+3 -> 0
- ddadd7723 add 00.E+1 0E+3 -> 0E+1
- ddadd7724 add 00.E+2 0E+3 -> 0E+2
- ddadd7725 add 00.E+3 0E+3 -> 0E+3
- ddadd7726 add 00.E+4 0E+3 -> 0E+3
- ddadd7727 add 00.E+5 0E+3 -> 0E+3
- ddadd7728 add -00.00 0E+3 -> 0.00
- ddadd7729 add -00.0 0E+3 -> 0.0
- ddadd7730 add -00. 0E+3 -> 0
- ddadd7732 add 0 0 -> 0
- ddadd7733 add 0 -0 -> 0
- ddadd7734 add -0 0 -> 0
- ddadd7735 add -0 -0 -> -0 -- IEEE 854 special case
- ddadd7736 add 1 -1 -> 0
- ddadd7737 add -1 -1 -> -2
- ddadd7738 add 1 1 -> 2
- ddadd7739 add -1 1 -> 0
- ddadd7741 add 0 -1 -> -1
- ddadd7742 add -0 -1 -> -1
- ddadd7743 add 0 1 -> 1
- ddadd7744 add -0 1 -> 1
- ddadd7745 add -1 0 -> -1
- ddadd7746 add -1 -0 -> -1
- ddadd7747 add 1 0 -> 1
- ddadd7748 add 1 -0 -> 1
- ddadd7751 add 0.0 -1 -> -1.0
- ddadd7752 add -0.0 -1 -> -1.0
- ddadd7753 add 0.0 1 -> 1.0
- ddadd7754 add -0.0 1 -> 1.0
- ddadd7755 add -1.0 0 -> -1.0
- ddadd7756 add -1.0 -0 -> -1.0
- ddadd7757 add 1.0 0 -> 1.0
- ddadd7758 add 1.0 -0 -> 1.0
- ddadd7761 add 0 -1.0 -> -1.0
- ddadd7762 add -0 -1.0 -> -1.0
- ddadd7763 add 0 1.0 -> 1.0
- ddadd7764 add -0 1.0 -> 1.0
- ddadd7765 add -1 0.0 -> -1.0
- ddadd7766 add -1 -0.0 -> -1.0
- ddadd7767 add 1 0.0 -> 1.0
- ddadd7768 add 1 -0.0 -> 1.0
- ddadd7771 add 0.0 -1.0 -> -1.0
- ddadd7772 add -0.0 -1.0 -> -1.0
- ddadd7773 add 0.0 1.0 -> 1.0
- ddadd7774 add -0.0 1.0 -> 1.0
- ddadd7775 add -1.0 0.0 -> -1.0
- ddadd7776 add -1.0 -0.0 -> -1.0
- ddadd7777 add 1.0 0.0 -> 1.0
- ddadd7778 add 1.0 -0.0 -> 1.0
- -- Specials
- ddadd7780 add -Inf -Inf -> -Infinity
- ddadd7781 add -Inf -1000 -> -Infinity
- ddadd7782 add -Inf -1 -> -Infinity
- ddadd7783 add -Inf -0 -> -Infinity
- ddadd7784 add -Inf 0 -> -Infinity
- ddadd7785 add -Inf 1 -> -Infinity
- ddadd7786 add -Inf 1000 -> -Infinity
- ddadd7787 add -1000 -Inf -> -Infinity
- ddadd7788 add -Inf -Inf -> -Infinity
- ddadd7789 add -1 -Inf -> -Infinity
- ddadd7790 add -0 -Inf -> -Infinity
- ddadd7791 add 0 -Inf -> -Infinity
- ddadd7792 add 1 -Inf -> -Infinity
- ddadd7793 add 1000 -Inf -> -Infinity
- ddadd7794 add Inf -Inf -> NaN Invalid_operation
- ddadd7800 add Inf -Inf -> NaN Invalid_operation
- ddadd7801 add Inf -1000 -> Infinity
- ddadd7802 add Inf -1 -> Infinity
- ddadd7803 add Inf -0 -> Infinity
- ddadd7804 add Inf 0 -> Infinity
- ddadd7805 add Inf 1 -> Infinity
- ddadd7806 add Inf 1000 -> Infinity
- ddadd7807 add Inf Inf -> Infinity
- ddadd7808 add -1000 Inf -> Infinity
- ddadd7809 add -Inf Inf -> NaN Invalid_operation
- ddadd7810 add -1 Inf -> Infinity
- ddadd7811 add -0 Inf -> Infinity
- ddadd7812 add 0 Inf -> Infinity
- ddadd7813 add 1 Inf -> Infinity
- ddadd7814 add 1000 Inf -> Infinity
- ddadd7815 add Inf Inf -> Infinity
- ddadd7821 add NaN -Inf -> NaN
- ddadd7822 add NaN -1000 -> NaN
- ddadd7823 add NaN -1 -> NaN
- ddadd7824 add NaN -0 -> NaN
- ddadd7825 add NaN 0 -> NaN
- ddadd7826 add NaN 1 -> NaN
- ddadd7827 add NaN 1000 -> NaN
- ddadd7828 add NaN Inf -> NaN
- ddadd7829 add NaN NaN -> NaN
- ddadd7830 add -Inf NaN -> NaN
- ddadd7831 add -1000 NaN -> NaN
- ddadd7832 add -1 NaN -> NaN
- ddadd7833 add -0 NaN -> NaN
- ddadd7834 add 0 NaN -> NaN
- ddadd7835 add 1 NaN -> NaN
- ddadd7836 add 1000 NaN -> NaN
- ddadd7837 add Inf NaN -> NaN
- ddadd7841 add sNaN -Inf -> NaN Invalid_operation
- ddadd7842 add sNaN -1000 -> NaN Invalid_operation
- ddadd7843 add sNaN -1 -> NaN Invalid_operation
- ddadd7844 add sNaN -0 -> NaN Invalid_operation
- ddadd7845 add sNaN 0 -> NaN Invalid_operation
- ddadd7846 add sNaN 1 -> NaN Invalid_operation
- ddadd7847 add sNaN 1000 -> NaN Invalid_operation
- ddadd7848 add sNaN NaN -> NaN Invalid_operation
- ddadd7849 add sNaN sNaN -> NaN Invalid_operation
- ddadd7850 add NaN sNaN -> NaN Invalid_operation
- ddadd7851 add -Inf sNaN -> NaN Invalid_operation
- ddadd7852 add -1000 sNaN -> NaN Invalid_operation
- ddadd7853 add -1 sNaN -> NaN Invalid_operation
- ddadd7854 add -0 sNaN -> NaN Invalid_operation
- ddadd7855 add 0 sNaN -> NaN Invalid_operation
- ddadd7856 add 1 sNaN -> NaN Invalid_operation
- ddadd7857 add 1000 sNaN -> NaN Invalid_operation
- ddadd7858 add Inf sNaN -> NaN Invalid_operation
- ddadd7859 add NaN sNaN -> NaN Invalid_operation
- -- propagating NaNs
- ddadd7861 add NaN1 -Inf -> NaN1
- ddadd7862 add +NaN2 -1000 -> NaN2
- ddadd7863 add NaN3 1000 -> NaN3
- ddadd7864 add NaN4 Inf -> NaN4
- ddadd7865 add NaN5 +NaN6 -> NaN5
- ddadd7866 add -Inf NaN7 -> NaN7
- ddadd7867 add -1000 NaN8 -> NaN8
- ddadd7868 add 1000 NaN9 -> NaN9
- ddadd7869 add Inf +NaN10 -> NaN10
- ddadd7871 add sNaN11 -Inf -> NaN11 Invalid_operation
- ddadd7872 add sNaN12 -1000 -> NaN12 Invalid_operation
- ddadd7873 add sNaN13 1000 -> NaN13 Invalid_operation
- ddadd7874 add sNaN14 NaN17 -> NaN14 Invalid_operation
- ddadd7875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
- ddadd7876 add NaN16 sNaN19 -> NaN19 Invalid_operation
- ddadd7877 add -Inf +sNaN20 -> NaN20 Invalid_operation
- ddadd7878 add -1000 sNaN21 -> NaN21 Invalid_operation
- ddadd7879 add 1000 sNaN22 -> NaN22 Invalid_operation
- ddadd7880 add Inf sNaN23 -> NaN23 Invalid_operation
- ddadd7881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
- ddadd7882 add -NaN26 NaN28 -> -NaN26
- ddadd7883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
- ddadd7884 add 1000 -NaN30 -> -NaN30
- ddadd7885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
- -- Here we explore near the boundary of rounding a subnormal to Nmin
- ddadd7575 add 1E-383 -1E-398 -> 9.99999999999999E-384 Subnormal
- ddadd7576 add -1E-383 +1E-398 -> -9.99999999999999E-384 Subnormal
- -- and another curious case
- ddadd7577 add 7.000000000000E-385 -1.00000E-391 -> 6.999999000000E-385 Subnormal
- -- check overflow edge case
- -- 1234567890123456
- ddadd7972 apply 9.999999999999999E+384 -> 9.999999999999999E+384
- ddadd7973 add 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded
- ddadd7974 add 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded
- ddadd7975 add 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded
- ddadd7976 add 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded
- ddadd7977 add 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded
- ddadd7978 add 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded
- ddadd7979 add 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded
- ddadd7980 add 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded
- ddadd7981 add 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded
- ddadd7982 add 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded
- ddadd7983 add 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded
- ddadd7984 add 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded
- ddadd7985 apply -9.999999999999999E+384 -> -9.999999999999999E+384
- ddadd7986 add -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded
- ddadd7987 add -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded
- ddadd7988 add -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded
- ddadd7989 add -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded
- ddadd7990 add -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded
- ddadd7991 add -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded
- ddadd7992 add -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded
- ddadd7993 add -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded
- ddadd7994 add -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded
- ddadd7995 add -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded
- ddadd7996 add -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded
- ddadd7997 add -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded
- -- And for round down full and subnormal results
- rounding: down
- ddadd71100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
- ddadd71101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
- ddadd71103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
- ddadd71104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
- ddadd71105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
- ddadd71106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
- ddadd71107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
- ddadd71108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
- ddadd71109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
- rounding: ceiling
- ddadd71110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
- ddadd71111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
- ddadd71113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
- ddadd71114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
- ddadd71115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
- ddadd71116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
- ddadd71117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
- ddadd71118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
- ddadd71119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
- -- tests based on Gunnar Degnbol's edge case
- rounding: half_even
- ddadd71300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded
- ddadd71311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded
- ddadd71312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
- ddadd71313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
- ddadd71314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
- ddadd71315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
- ddadd71316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
- ddadd71317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
- ddadd71318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
- ddadd71319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
- ddadd71320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
- ddadd71321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
- ddadd71322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
- ddadd71323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
- ddadd71324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
- ddadd71325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
- ddadd71341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
- ddadd71349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
- ddadd71350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
- ddadd71351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
- ddadd71352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
- ddadd71353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
- ddadd71354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
- ddadd71355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
- ddadd71356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
- ddadd71357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
- ddadd71358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
- ddadd71359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
- ddadd71360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
- ddadd71361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
- ddadd71362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
- ddadd71363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
- ddadd71364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
- ddadd71365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
- ddadd71396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
- -- More GD edge cases, where difference between the unadjusted
- -- exponents is larger than the maximum precision and one side is 0
- ddadd71420 add 0 1.123456789012345 -> 1.123456789012345
- ddadd71421 add 0 1.123456789012345E-1 -> 0.1123456789012345
- ddadd71422 add 0 1.123456789012345E-2 -> 0.01123456789012345
- ddadd71423 add 0 1.123456789012345E-3 -> 0.001123456789012345
- ddadd71424 add 0 1.123456789012345E-4 -> 0.0001123456789012345
- ddadd71425 add 0 1.123456789012345E-5 -> 0.00001123456789012345
- ddadd71426 add 0 1.123456789012345E-6 -> 0.000001123456789012345
- ddadd71427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7
- ddadd71428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8
- ddadd71429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9
- ddadd71430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10
- ddadd71431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11
- ddadd71432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12
- ddadd71433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13
- ddadd71434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14
- ddadd71435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15
- ddadd71436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16
- ddadd71437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17
- ddadd71438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18
- ddadd71439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19
- -- same, reversed 0
- ddadd71440 add 1.123456789012345 0 -> 1.123456789012345
- ddadd71441 add 1.123456789012345E-1 0 -> 0.1123456789012345
- ddadd71442 add 1.123456789012345E-2 0 -> 0.01123456789012345
- ddadd71443 add 1.123456789012345E-3 0 -> 0.001123456789012345
- ddadd71444 add 1.123456789012345E-4 0 -> 0.0001123456789012345
- ddadd71445 add 1.123456789012345E-5 0 -> 0.00001123456789012345
- ddadd71446 add 1.123456789012345E-6 0 -> 0.000001123456789012345
- ddadd71447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7
- ddadd71448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8
- ddadd71449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9
- ddadd71450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10
- ddadd71451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11
- ddadd71452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12
- ddadd71453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13
- ddadd71454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14
- ddadd71455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15
- ddadd71456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16
- ddadd71457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17
- ddadd71458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18
- ddadd71459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19
- -- same, Es on the 0
- ddadd71460 add 1.123456789012345 0E-0 -> 1.123456789012345
- ddadd71461 add 1.123456789012345 0E-1 -> 1.123456789012345
- ddadd71462 add 1.123456789012345 0E-2 -> 1.123456789012345
- ddadd71463 add 1.123456789012345 0E-3 -> 1.123456789012345
- ddadd71464 add 1.123456789012345 0E-4 -> 1.123456789012345
- ddadd71465 add 1.123456789012345 0E-5 -> 1.123456789012345
- ddadd71466 add 1.123456789012345 0E-6 -> 1.123456789012345
- ddadd71467 add 1.123456789012345 0E-7 -> 1.123456789012345
- ddadd71468 add 1.123456789012345 0E-8 -> 1.123456789012345
- ddadd71469 add 1.123456789012345 0E-9 -> 1.123456789012345
- ddadd71470 add 1.123456789012345 0E-10 -> 1.123456789012345
- ddadd71471 add 1.123456789012345 0E-11 -> 1.123456789012345
- ddadd71472 add 1.123456789012345 0E-12 -> 1.123456789012345
- ddadd71473 add 1.123456789012345 0E-13 -> 1.123456789012345
- ddadd71474 add 1.123456789012345 0E-14 -> 1.123456789012345
- ddadd71475 add 1.123456789012345 0E-15 -> 1.123456789012345
- -- next four flag Rounded because the 0 extends the result
- ddadd71476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
- ddadd71477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
- ddadd71478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
- ddadd71479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
- -- sum of two opposite-sign operands is exactly 0 and floor => -0
- rounding: half_up
- -- exact zeros from zeros
- ddadd71500 add 0 0E-19 -> 0E-19
- ddadd71501 add -0 0E-19 -> 0E-19
- ddadd71502 add 0 -0E-19 -> 0E-19
- ddadd71503 add -0 -0E-19 -> -0E-19
- -- exact zeros from non-zeros
- ddadd71511 add -11 11 -> 0
- ddadd71512 add 11 -11 -> 0
- rounding: half_down
- -- exact zeros from zeros
- ddadd71520 add 0 0E-19 -> 0E-19
- ddadd71521 add -0 0E-19 -> 0E-19
- ddadd71522 add 0 -0E-19 -> 0E-19
- ddadd71523 add -0 -0E-19 -> -0E-19
- -- exact zeros from non-zeros
- ddadd71531 add -11 11 -> 0
- ddadd71532 add 11 -11 -> 0
- rounding: half_even
- -- exact zeros from zeros
- ddadd71540 add 0 0E-19 -> 0E-19
- ddadd71541 add -0 0E-19 -> 0E-19
- ddadd71542 add 0 -0E-19 -> 0E-19
- ddadd71543 add -0 -0E-19 -> -0E-19
- -- exact zeros from non-zeros
- ddadd71551 add -11 11 -> 0
- ddadd71552 add 11 -11 -> 0
- rounding: up
- -- exact zeros from zeros
- ddadd71560 add 0 0E-19 -> 0E-19
- ddadd71561 add -0 0E-19 -> 0E-19
- ddadd71562 add 0 -0E-19 -> 0E-19
- ddadd71563 add -0 -0E-19 -> -0E-19
- -- exact zeros from non-zeros
- ddadd71571 add -11 11 -> 0
- ddadd71572 add 11 -11 -> 0
- rounding: down
- -- exact zeros from zeros
- ddadd71580 add 0 0E-19 -> 0E-19
- ddadd71581 add -0 0E-19 -> 0E-19
- ddadd71582 add 0 -0E-19 -> 0E-19
- ddadd71583 add -0 -0E-19 -> -0E-19
- -- exact zeros from non-zeros
- ddadd71591 add -11 11 -> 0
- ddadd71592 add 11 -11 -> 0
- rounding: ceiling
- -- exact zeros from zeros
- ddadd71600 add 0 0E-19 -> 0E-19
- ddadd71601 add -0 0E-19 -> 0E-19
- ddadd71602 add 0 -0E-19 -> 0E-19
- ddadd71603 add -0 -0E-19 -> -0E-19
- -- exact zeros from non-zeros
- ddadd71611 add -11 11 -> 0
- ddadd71612 add 11 -11 -> 0
- -- and the extra-special ugly case; unusual minuses marked by -- *
- rounding: floor
- -- exact zeros from zeros
- ddadd71620 add 0 0E-19 -> 0E-19
- ddadd71621 add -0 0E-19 -> -0E-19 -- *
- ddadd71622 add 0 -0E-19 -> -0E-19 -- *
- ddadd71623 add -0 -0E-19 -> -0E-19
- -- exact zeros from non-zeros
- ddadd71631 add -11 11 -> -0 -- *
- ddadd71632 add 11 -11 -> -0 -- *
- -- Examples from SQL proposal (Krishna Kulkarni)
- ddadd71701 add 130E-2 120E-2 -> 2.50
- ddadd71702 add 130E-2 12E-1 -> 2.50
- ddadd71703 add 130E-2 1E0 -> 2.30
- ddadd71704 add 1E2 1E4 -> 1.01E+4
- ddadd71705 add 130E-2 -120E-2 -> 0.10
- ddadd71706 add 130E-2 -12E-1 -> 0.10
- ddadd71707 add 130E-2 -1E0 -> 0.30
- ddadd71708 add 1E2 -1E4 -> -9.9E+3
- -- query from Vincent Kulandaisamy
- rounding: ceiling
- ddadd71801 add 7.8822773805862E+277 -5.1757503820663E-21 -> 7.882277380586200E+277 Inexact Rounded
- ddadd71802 add 7.882277380586200E+277 12.341 -> 7.882277380586201E+277 Inexact Rounded
- ddadd71803 add 7.882277380586201E+277 2.7270545046613E-31 -> 7.882277380586202E+277 Inexact Rounded
- ddadd71811 add 12.341 -5.1757503820663E-21 -> 12.34100000000000 Inexact Rounded
- ddadd71812 add 12.34100000000000 2.7270545046613E-31 -> 12.34100000000001 Inexact Rounded
- ddadd71813 add 12.34100000000001 7.8822773805862E+277 -> 7.882277380586201E+277 Inexact Rounded
- -- Gappy coefficients; check residue handling even with full coefficient gap
- rounding: half_even
- ddadd75001 add 1234567890123456 1 -> 1234567890123457
- ddadd75002 add 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded
- ddadd75003 add 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded
- ddadd75004 add 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded
- ddadd75005 add 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded
- ddadd75006 add 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded
- ddadd75007 add 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded
- ddadd75008 add 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded
- ddadd75009 add 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded
- ddadd75010 add 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded
- ddadd75011 add 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded
- ddadd75012 add 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded
- ddadd75013 add 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded
- ddadd75014 add 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded
- ddadd75015 add 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded
- ddadd75016 add 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded
- ddadd75017 add 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded
- ddadd75018 add 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded
- ddadd75019 add 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded
- ddadd75020 add 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded
- ddadd75021 add 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded
- -- widening second argument at gap
- ddadd75030 add 12345678 1 -> 12345679
- ddadd75031 add 12345678 0.1 -> 12345678.1
- ddadd75032 add 12345678 0.12 -> 12345678.12
- ddadd75033 add 12345678 0.123 -> 12345678.123
- ddadd75034 add 12345678 0.1234 -> 12345678.1234
- ddadd75035 add 12345678 0.12345 -> 12345678.12345
- ddadd75036 add 12345678 0.123456 -> 12345678.123456
- ddadd75037 add 12345678 0.1234567 -> 12345678.1234567
- ddadd75038 add 12345678 0.12345678 -> 12345678.12345678
- ddadd75039 add 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded
- ddadd75040 add 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded
- ddadd75041 add 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded
- ddadd75042 add 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded
- ddadd75043 add 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded
- ddadd75044 add 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded
- ddadd75045 add 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded
- ddadd75046 add 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded
- ddadd75047 add 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded
- ddadd75048 add 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded
- ddadd75049 add 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded
- -- 90123456
- rounding: half_even
- ddadd75050 add 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded
- ddadd75051 add 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded
- ddadd75052 add 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded
- ddadd75053 add 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded
- ddadd75054 add 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded
- ddadd75055 add 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded
- ddadd75056 add 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded
- ddadd75057 add 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded
- ddadd75060 add 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded
- ddadd75061 add 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded
- ddadd75062 add 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded
- ddadd75063 add 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded
- ddadd75064 add 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded
- ddadd75065 add 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded
- ddadd75066 add 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded
- ddadd75067 add 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded
- -- far-out residues (full coefficient gap is 16+15 digits)
- rounding: up
- ddadd75070 add 12345678 1E-8 -> 12345678.00000001
- ddadd75071 add 12345678 1E-9 -> 12345678.00000001 Inexact Rounded
- ddadd75072 add 12345678 1E-10 -> 12345678.00000001 Inexact Rounded
- ddadd75073 add 12345678 1E-11 -> 12345678.00000001 Inexact Rounded
- ddadd75074 add 12345678 1E-12 -> 12345678.00000001 Inexact Rounded
- ddadd75075 add 12345678 1E-13 -> 12345678.00000001 Inexact Rounded
- ddadd75076 add 12345678 1E-14 -> 12345678.00000001 Inexact Rounded
- ddadd75077 add 12345678 1E-15 -> 12345678.00000001 Inexact Rounded
- ddadd75078 add 12345678 1E-16 -> 12345678.00000001 Inexact Rounded
- ddadd75079 add 12345678 1E-17 -> 12345678.00000001 Inexact Rounded
- ddadd75080 add 12345678 1E-18 -> 12345678.00000001 Inexact Rounded
- ddadd75081 add 12345678 1E-19 -> 12345678.00000001 Inexact Rounded
- ddadd75082 add 12345678 1E-20 -> 12345678.00000001 Inexact Rounded
- ddadd75083 add 12345678 1E-25 -> 12345678.00000001 Inexact Rounded
- ddadd75084 add 12345678 1E-30 -> 12345678.00000001 Inexact Rounded
- ddadd75085 add 12345678 1E-31 -> 12345678.00000001 Inexact Rounded
- ddadd75086 add 12345678 1E-32 -> 12345678.00000001 Inexact Rounded
- ddadd75087 add 12345678 1E-33 -> 12345678.00000001 Inexact Rounded
- ddadd75088 add 12345678 1E-34 -> 12345678.00000001 Inexact Rounded
- ddadd75089 add 12345678 1E-35 -> 12345678.00000001 Inexact Rounded
- -- Punit's
- ddadd75100 add 1.000 -200.000 -> -199.000
- -- Rounding swathe
- rounding: half_even
- ddadd81100 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
- ddadd81101 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81102 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81103 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81104 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81105 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81106 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded
- ddadd81107 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81108 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81109 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81120 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded
- ddadd81121 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded
- rounding: half_up
- ddadd81200 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
- ddadd81201 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81202 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81203 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81204 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81205 add .2450 12345678901234.00 -> 12345678901234.25 Inexact Rounded
- ddadd81206 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded
- ddadd81207 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81208 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81209 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81220 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded
- ddadd81221 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded
- rounding: half_down
- ddadd81300 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
- ddadd81301 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81302 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81303 add .2350 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81304 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81305 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81306 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded
- ddadd81307 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81308 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81309 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81320 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded
- ddadd81321 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded
- rounding: up
- ddadd81400 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
- ddadd81401 add .2301 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81402 add .2310 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81403 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81404 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81405 add .2450 12345678901234.00 -> 12345678901234.25 Inexact Rounded
- ddadd81406 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded
- ddadd81407 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81408 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81409 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81411 add -.2399 -12345678901234.00 -> -12345678901234.24 Inexact Rounded
- ddadd81420 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded
- ddadd81421 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded
- rounding: down
- ddadd81500 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
- ddadd81501 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81502 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81503 add .2350 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81504 add .2351 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81505 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81506 add .2451 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81507 add .2360 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81508 add .2370 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81509 add .2399 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81511 add -.2399 -12345678901234.00 -> -12345678901234.23 Inexact Rounded
- ddadd81520 add 9999999999999999E+369 9E+369 -> 9.999999999999999E+384 Overflow Inexact Rounded
- ddadd81521 add -9999999999999999E+369 -9E+369 -> -9.999999999999999E+384 Overflow Inexact Rounded
- rounding: ceiling
- ddadd81600 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
- ddadd81601 add .2301 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81602 add .2310 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81603 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81604 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81605 add .2450 12345678901234.00 -> 12345678901234.25 Inexact Rounded
- ddadd81606 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded
- ddadd81607 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81608 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81609 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81611 add -.2399 -12345678901234.00 -> -12345678901234.23 Inexact Rounded
- ddadd81620 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded
- ddadd81621 add -9999999999999999E+369 -9E+369 -> -9.999999999999999E+384 Overflow Inexact Rounded
- rounding: floor
- ddadd81700 add .2300 12345678901234.00 -> 12345678901234.23 Rounded
- ddadd81701 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81702 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81703 add .2350 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81704 add .2351 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81705 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81706 add .2451 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd81707 add .2360 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81708 add .2370 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81709 add .2399 12345678901234.00 -> 12345678901234.23 Inexact Rounded
- ddadd81711 add -.2399 -12345678901234.00 -> -12345678901234.24 Inexact Rounded
- ddadd81720 add 9999999999999999E+369 9E+369 -> 9.999999999999999E+384 Overflow Inexact Rounded
- ddadd81721 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded
- rounding: 05up
- ddadd81800 add .2000 12345678901234.00 -> 12345678901234.20 Rounded
- ddadd81801 add .2001 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81802 add .2010 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81803 add .2050 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81804 add .2051 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81807 add .2060 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81808 add .2070 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81809 add .2099 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81811 add -.2099 -12345678901234.00 -> -12345678901234.21 Inexact Rounded
- ddadd81820 add 9999999999999999E+369 9E+369 -> 9.999999999999999E+384 Overflow Inexact Rounded
- ddadd81821 add -9999999999999999E+369 -9E+369 -> -9.999999999999999E+384 Overflow Inexact Rounded
- ddadd81900 add .2100 12345678901234.00 -> 12345678901234.21 Rounded
- ddadd81901 add .2101 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81902 add .2110 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81903 add .2150 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81904 add .2151 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81907 add .2160 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81908 add .2170 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81909 add .2199 12345678901234.00 -> 12345678901234.21 Inexact Rounded
- ddadd81911 add -.2199 -12345678901234.00 -> -12345678901234.21 Inexact Rounded
- ddadd82000 add .2400 12345678901234.00 -> 12345678901234.24 Rounded
- ddadd82001 add .2401 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd82002 add .2410 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd82003 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd82004 add .2451 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd82007 add .2460 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd82008 add .2470 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd82009 add .2499 12345678901234.00 -> 12345678901234.24 Inexact Rounded
- ddadd82011 add -.2499 -12345678901234.00 -> -12345678901234.24 Inexact Rounded
- ddadd82100 add .2500 12345678901234.00 -> 12345678901234.25 Rounded
- ddadd82101 add .2501 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82102 add .2510 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82103 add .2550 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82104 add .2551 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82107 add .2560 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82108 add .2570 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82109 add .2599 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82111 add -.2599 -12345678901234.00 -> -12345678901234.26 Inexact Rounded
- ddadd82200 add .2600 12345678901234.00 -> 12345678901234.26 Rounded
- ddadd82201 add .2601 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82202 add .2610 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82203 add .2650 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82204 add .2651 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82207 add .2660 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82208 add .2670 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82209 add .2699 12345678901234.00 -> 12345678901234.26 Inexact Rounded
- ddadd82211 add -.2699 -12345678901234.00 -> -12345678901234.26 Inexact Rounded
- ddadd82300 add .2900 12345678901234.00 -> 12345678901234.29 Rounded
- ddadd82301 add .2901 12345678901234.00 -> 12345678901234.29 Inexact Rounded
- ddadd82302 add .2910 12345678901234.00 -> 12345678901234.29 Inexact Rounded
- ddadd82303 add .2950 12345678901234.00 -> 12345678901234.29 Inexact Rounded
- ddadd82304 add .2951 12345678901234.00 -> 12345678901234.29 Inexact Rounded
- ddadd82307 add .2960 12345678901234.00 -> 12345678901234.29 Inexact Rounded
- ddadd82308 add .2970 12345678901234.00 -> 12345678901234.29 Inexact Rounded
- ddadd82309 add .2999 12345678901234.00 -> 12345678901234.29 Inexact Rounded
- ddadd82311 add -.2999 -12345678901234.00 -> -12345678901234.29 Inexact Rounded
- -- Null tests
- ddadd9990 add 10 # -> NaN Invalid_operation
- ddadd9991 add # 10 -> NaN Invalid_operation
|