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|
------------------------------------------------------------------------
-- ddAdd.decTest -- decDouble addition --
-- Copyright (c) IBM Corporation, 1981, 2007. 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: 2.56
-- 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
-- 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
-- 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
-- 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
|
