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|
- ------/cancell----------------------------------------------------------
- -- add.decTest -- decimal 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
- precision: 9
- rounding: half_up
- maxExponent: 384
- minexponent: -383
- extended: 1
- -- [first group are 'quick confidence check']
- addx001 add 1 1 -> 2
- addx002 add 2 3 -> 5
- addx003 add '5.75' '3.3' -> 9.05
- addx004 add '5' '-3' -> 2
- addx005 add '-5' '-3' -> -8
- addx006 add '-7' '2.5' -> -4.5
- addx007 add '0.7' '0.3' -> 1.0
- addx008 add '1.25' '1.25' -> 2.50
- addx009 add '1.23456789' '1.00000000' -> '2.23456789'
- addx010 add '1.23456789' '1.00000011' -> '2.23456800'
- addx011 add '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded
- addx012 add '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded
- addx013 add '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded
- addx014 add '0.44444444449' '0' -> '0.444444444' Inexact Rounded
- addx015 add '0.444444444499' '0' -> '0.444444444' Inexact Rounded
- addx016 add '0.4444444444999' '0' -> '0.444444444' Inexact Rounded
- addx017 add '0.4444444445000' '0' -> '0.444444445' Inexact Rounded
- addx018 add '0.4444444445001' '0' -> '0.444444445' Inexact Rounded
- addx019 add '0.444444444501' '0' -> '0.444444445' Inexact Rounded
- addx020 add '0.44444444451' '0' -> '0.444444445' Inexact Rounded
- addx021 add 0 1 -> 1
- addx022 add 1 1 -> 2
- addx023 add 2 1 -> 3
- addx024 add 3 1 -> 4
- addx025 add 4 1 -> 5
- addx026 add 5 1 -> 6
- addx027 add 6 1 -> 7
- addx028 add 7 1 -> 8
- addx029 add 8 1 -> 9
- addx030 add 9 1 -> 10
- -- some carrying effects
- addx031 add '0.9998' '0.0000' -> '0.9998'
- addx032 add '0.9998' '0.0001' -> '0.9999'
- addx033 add '0.9998' '0.0002' -> '1.0000'
- addx034 add '0.9998' '0.0003' -> '1.0001'
- addx035 add '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded
- addx036 add '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded
- addx037 add '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded
- addx038 add '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded
- addx039 add '700000' '10000e+9' -> '1.00000007E+13' Rounded
- -- symmetry:
- addx040 add '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded
- addx041 add '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded
- addx042 add '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded
- addx044 add '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded
- addx045 add '10000e+9' '700000' -> '1.00000007E+13' Rounded
- -- same, higher precision
- precision: 15
- addx046 add '10000e+9' '7' -> '10000000000007'
- addx047 add '10000e+9' '70' -> '10000000000070'
- addx048 add '10000e+9' '700' -> '10000000000700'
- addx049 add '10000e+9' '7000' -> '10000000007000'
- addx050 add '10000e+9' '70000' -> '10000000070000'
- addx051 add '10000e+9' '700000' -> '10000000700000'
- addx052 add '10000e+9' '7000000' -> '10000007000000'
- -- examples from decarith
- addx053 add '12' '7.00' -> '19.00'
- addx054 add '1.3' '-1.07' -> '0.23'
- addx055 add '1.3' '-1.30' -> '0.00'
- addx056 add '1.3' '-2.07' -> '-0.77'
- addx057 add '1E+2' '1E+4' -> '1.01E+4'
- -- zero preservation
- precision: 6
- addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded
- addx061 add 1 '0.0001' -> '1.0001'
- addx062 add 1 '0.00001' -> '1.00001'
- addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded
- addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded
- addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded
- -- some funny zeros [in case of bad signum]
- addx070 add 1 0 -> 1
- addx071 add 1 0. -> 1
- addx072 add 1 .0 -> 1.0
- addx073 add 1 0.0 -> 1.0
- addx074 add 1 0.00 -> 1.00
- addx075 add 0 1 -> 1
- addx076 add 0. 1 -> 1
- addx077 add .0 1 -> 1.0
- addx078 add 0.0 1 -> 1.0
- addx079 add 0.00 1 -> 1.00
- precision: 9
- -- some carries
- addx080 add 999999998 1 -> 999999999
- addx081 add 999999999 1 -> 1.00000000E+9 Rounded
- addx082 add 99999999 1 -> 100000000
- addx083 add 9999999 1 -> 10000000
- addx084 add 999999 1 -> 1000000
- addx085 add 99999 1 -> 100000
- addx086 add 9999 1 -> 10000
- addx087 add 999 1 -> 1000
- addx088 add 99 1 -> 100
- addx089 add 9 1 -> 10
- -- more LHS swaps
- addx090 add '-56267E-10' 0 -> '-0.0000056267'
- addx091 add '-56267E-6' 0 -> '-0.056267'
- addx092 add '-56267E-5' 0 -> '-0.56267'
- addx093 add '-56267E-4' 0 -> '-5.6267'
- addx094 add '-56267E-3' 0 -> '-56.267'
- addx095 add '-56267E-2' 0 -> '-562.67'
- addx096 add '-56267E-1' 0 -> '-5626.7'
- addx097 add '-56267E-0' 0 -> '-56267'
- addx098 add '-5E-10' 0 -> '-5E-10'
- addx099 add '-5E-7' 0 -> '-5E-7'
- addx100 add '-5E-6' 0 -> '-0.000005'
- addx101 add '-5E-5' 0 -> '-0.00005'
- addx102 add '-5E-4' 0 -> '-0.0005'
- addx103 add '-5E-1' 0 -> '-0.5'
- addx104 add '-5E0' 0 -> '-5'
- addx105 add '-5E1' 0 -> '-50'
- addx106 add '-5E5' 0 -> '-500000'
- addx107 add '-5E8' 0 -> '-500000000'
- addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded
- addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded
- addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded
- addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded
- -- more RHS swaps
- addx113 add 0 '-56267E-10' -> '-0.0000056267'
- addx114 add 0 '-56267E-6' -> '-0.056267'
- addx116 add 0 '-56267E-5' -> '-0.56267'
- addx117 add 0 '-56267E-4' -> '-5.6267'
- addx119 add 0 '-56267E-3' -> '-56.267'
- addx120 add 0 '-56267E-2' -> '-562.67'
- addx121 add 0 '-56267E-1' -> '-5626.7'
- addx122 add 0 '-56267E-0' -> '-56267'
- addx123 add 0 '-5E-10' -> '-5E-10'
- addx124 add 0 '-5E-7' -> '-5E-7'
- addx125 add 0 '-5E-6' -> '-0.000005'
- addx126 add 0 '-5E-5' -> '-0.00005'
- addx127 add 0 '-5E-4' -> '-0.0005'
- addx128 add 0 '-5E-1' -> '-0.5'
- addx129 add 0 '-5E0' -> '-5'
- addx130 add 0 '-5E1' -> '-50'
- addx131 add 0 '-5E5' -> '-500000'
- addx132 add 0 '-5E8' -> '-500000000'
- addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded
- addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded
- addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded
- addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded
- -- related
- addx137 add 1 '0E-12' -> '1.00000000' Rounded
- addx138 add -1 '0E-12' -> '-1.00000000' Rounded
- addx139 add '0E-12' 1 -> '1.00000000' Rounded
- addx140 add '0E-12' -1 -> '-1.00000000' Rounded
- addx141 add 1E+4 0.0000 -> '10000.0000'
- addx142 add 1E+4 0.00000 -> '10000.0000' Rounded
- addx143 add 0.000 1E+5 -> '100000.000'
- addx144 add 0.0000 1E+5 -> '100000.000' Rounded
- -- [some of the next group are really constructor tests]
- addx146 add '00.0' 0 -> '0.0'
- addx147 add '0.00' 0 -> '0.00'
- addx148 add 0 '0.00' -> '0.00'
- addx149 add 0 '00.0' -> '0.0'
- addx150 add '00.0' '0.00' -> '0.00'
- addx151 add '0.00' '00.0' -> '0.00'
- addx152 add '3' '.3' -> '3.3'
- addx153 add '3.' '.3' -> '3.3'
- addx154 add '3.0' '.3' -> '3.3'
- addx155 add '3.00' '.3' -> '3.30'
- addx156 add '3' '3' -> '6'
- addx157 add '3' '+3' -> '6'
- addx158 add '3' '-3' -> '0'
- addx159 add '0.3' '-0.3' -> '0.0'
- addx160 add '0.03' '-0.03' -> '0.00'
- -- try borderline precision, with carries, etc.
- precision: 15
- addx161 add '1E+12' '-1' -> '999999999999'
- addx162 add '1E+12' '1.11' -> '1000000000001.11'
- addx163 add '1.11' '1E+12' -> '1000000000001.11'
- addx164 add '-1' '1E+12' -> '999999999999'
- addx165 add '7E+12' '-1' -> '6999999999999'
- addx166 add '7E+12' '1.11' -> '7000000000001.11'
- addx167 add '1.11' '7E+12' -> '7000000000001.11'
- addx168 add '-1' '7E+12' -> '6999999999999'
- -- 123456789012345 123456789012345 1 23456789012345
- addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded
- addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded
- addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded
- addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded
- addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded
- addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded
- addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded
- addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded
- addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999'
- addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998'
- addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997'
- addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996'
- addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995'
- addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994'
- -- and some more, including residue effects and different roundings
- precision: 9
- rounding: half_up
- addx200 add '123456789' 0 -> '123456789'
- addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
- addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded
- addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded
- addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded
- addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded
- addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded
- addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
- addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded
- addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
- addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded
- addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded
- addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded
- addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded
- addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded
- addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
- addx216 add '123456789' 1 -> '123456790'
- addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded
- addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded
- addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded
- rounding: half_even
- addx220 add '123456789' 0 -> '123456789'
- addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
- addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded
- addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded
- addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded
- addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded
- addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded
- addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
- addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded
- addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
- addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded
- addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded
- addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded
- addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded
- addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded
- addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
- addx236 add '123456789' 1 -> '123456790'
- addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
- addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded
- addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded
- -- critical few with even bottom digit...
- addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded
- addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded
- addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded
- rounding: down
- addx250 add '123456789' 0 -> '123456789'
- addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
- addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded
- addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded
- addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded
- addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded
- addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded
- addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
- addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded
- addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded
- addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded
- addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded
- addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded
- addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded
- addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded
- addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded
- addx266 add '123456789' 1 -> '123456790'
- addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
- addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded
- addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded
- -- input preparation tests (operands should not be rounded)
- precision: 3
- rounding: half_up
- addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded
- addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded
- addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded
- addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded
- addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded
- addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded
- addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded
- addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded
- addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded
- addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
- addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
- addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
- addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded
- addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
- addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
- addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
- rounding: half_down
- addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
- addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
- addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
- addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded
- addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
- addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
- addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
- -- 1 in last place tests
- rounding: half_up
- addx301 add -1 1 -> 0
- addx302 add 0 1 -> 1
- addx303 add 1 1 -> 2
- addx304 add 12 1 -> 13
- addx305 add 98 1 -> 99
- addx306 add 99 1 -> 100
- addx307 add 100 1 -> 101
- addx308 add 101 1 -> 102
- addx309 add -1 -1 -> -2
- addx310 add 0 -1 -> -1
- addx311 add 1 -1 -> 0
- addx312 add 12 -1 -> 11
- addx313 add 98 -1 -> 97
- addx314 add 99 -1 -> 98
- addx315 add 100 -1 -> 99
- addx316 add 101 -1 -> 100
- addx321 add -0.01 0.01 -> 0.00
- addx322 add 0.00 0.01 -> 0.01
- addx323 add 0.01 0.01 -> 0.02
- addx324 add 0.12 0.01 -> 0.13
- addx325 add 0.98 0.01 -> 0.99
- addx326 add 0.99 0.01 -> 1.00
- addx327 add 1.00 0.01 -> 1.01
- addx328 add 1.01 0.01 -> 1.02
- addx329 add -0.01 -0.01 -> -0.02
- addx330 add 0.00 -0.01 -> -0.01
- addx331 add 0.01 -0.01 -> 0.00
- addx332 add 0.12 -0.01 -> 0.11
- addx333 add 0.98 -0.01 -> 0.97
- addx334 add 0.99 -0.01 -> 0.98
- addx335 add 1.00 -0.01 -> 0.99
- addx336 add 1.01 -0.01 -> 1.00
- -- some more cases where adding 0 affects the coefficient
- precision: 9
- addx340 add 1E+3 0 -> 1000
- addx341 add 1E+8 0 -> 100000000
- addx342 add 1E+9 0 -> 1.00000000E+9 Rounded
- addx343 add 1E+10 0 -> 1.00000000E+10 Rounded
- -- which simply follow from these cases ...
- addx344 add 1E+3 1 -> 1001
- addx345 add 1E+8 1 -> 100000001
- addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded
- addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded
- addx348 add 1E+3 7 -> 1007
- addx349 add 1E+8 7 -> 100000007
- addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded
- addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded
- -- tryzeros cases
- precision: 7
- rounding: half_up
- maxExponent: 92
- minexponent: -92
- addx361 add 0E+50 10000E+1 -> 1.0000E+5
- addx362 add 10000E+1 0E-50 -> 100000.0 Rounded
- addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact
- addx364 add 9.999999E+92 -9.999999E+92 -> 0E+86
- -- a curiosity from JSR 13 testing
- rounding: half_down
- precision: 10
- addx370 add 99999999 81512 -> 100081511
- precision: 6
- addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
- rounding: half_up
- precision: 10
- addx372 add 99999999 81512 -> 100081511
- precision: 6
- addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
- rounding: half_even
- precision: 10
- addx374 add 99999999 81512 -> 100081511
- precision: 6
- addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
- -- ulp replacement tests
- precision: 9
- maxexponent: 999999999
- minexponent: -999999999
- addx400 add 1 77e-7 -> 1.0000077
- addx401 add 1 77e-8 -> 1.00000077
- addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded
- addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded
- addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded
- addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded
- addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded
- addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded
- addx410 add 10 77e-7 -> 10.0000077
- addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded
- addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded
- addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded
- addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded
- addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded
- addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded
- addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded
- addx420 add 77e-7 1 -> 1.0000077
- addx421 add 77e-8 1 -> 1.00000077
- addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded
- addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded
- addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded
- addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded
- addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded
- addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded
- addx430 add 77e-7 10 -> 10.0000077
- addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded
- addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded
- addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded
- addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded
- addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded
- addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded
- addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded
- -- negative ulps
- addx440 add 1 -77e-7 -> 0.9999923
- addx441 add 1 -77e-8 -> 0.99999923
- addx442 add 1 -77e-9 -> 0.999999923
- addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded
- addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded
- addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded
- addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded
- addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded
- addx450 add 10 -77e-7 -> 9.9999923
- addx451 add 10 -77e-8 -> 9.99999923
- addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded
- addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded
- addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded
- addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded
- addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded
- addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded
- addx460 add -77e-7 1 -> 0.9999923
- addx461 add -77e-8 1 -> 0.99999923
- addx462 add -77e-9 1 -> 0.999999923
- addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded
- addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded
- addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded
- addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded
- addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded
- addx470 add -77e-7 10 -> 9.9999923
- addx471 add -77e-8 10 -> 9.99999923
- addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded
- addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded
- addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded
- addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded
- addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded
- addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded
- -- negative ulps
- addx480 add -1 77e-7 -> -0.9999923
- addx481 add -1 77e-8 -> -0.99999923
- addx482 add -1 77e-9 -> -0.999999923
- addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded
- addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded
- addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded
- addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded
- addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded
- addx490 add -10 77e-7 -> -9.9999923
- addx491 add -10 77e-8 -> -9.99999923
- addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded
- addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded
- addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded
- addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded
- addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded
- addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded
- addx500 add 77e-7 -1 -> -0.9999923
- addx501 add 77e-8 -1 -> -0.99999923
- addx502 add 77e-9 -1 -> -0.999999923
- addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded
- addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded
- addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded
- addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded
- addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded
- addx510 add 77e-7 -10 -> -9.9999923
- addx511 add 77e-8 -10 -> -9.99999923
- addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded
- addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded
- addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded
- addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded
- addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded
- addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded
- -- long operands
- maxexponent: 999
- minexponent: -999
- precision: 9
- addx521 add 12345678000 0 -> 1.23456780E+10 Rounded
- addx522 add 0 12345678000 -> 1.23456780E+10 Rounded
- addx523 add 1234567800 0 -> 1.23456780E+9 Rounded
- addx524 add 0 1234567800 -> 1.23456780E+9 Rounded
- addx525 add 1234567890 0 -> 1.23456789E+9 Rounded
- addx526 add 0 1234567890 -> 1.23456789E+9 Rounded
- addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded
- addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded
- addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded
- addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded
- addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded
- addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded
- precision: 15
- -- still checking
- addx541 add 12345678000 0 -> 12345678000
- addx542 add 0 12345678000 -> 12345678000
- addx543 add 1234567800 0 -> 1234567800
- addx544 add 0 1234567800 -> 1234567800
- addx545 add 1234567890 0 -> 1234567890
- addx546 add 0 1234567890 -> 1234567890
- addx547 add 1234567891 0 -> 1234567891
- addx548 add 0 1234567891 -> 1234567891
- addx549 add 12345678901 0 -> 12345678901
- addx550 add 0 12345678901 -> 12345678901
- addx551 add 1234567896 0 -> 1234567896
- addx552 add 0 1234567896 -> 1234567896
- -- verify a query
- precision: 16
- maxExponent: +394
- minExponent: -393
- rounding: down
- addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
- addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
- -- and using decimal64 bounds (see also ddadd.decTest)
- precision: 16
- maxExponent: +384
- minExponent: -383
- rounding: down
- addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
- addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
- -- some more residue effects with extreme rounding
- precision: 9
- rounding: half_up
- addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded
- rounding: half_even
- addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded
- rounding: half_down
- addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded
- rounding: floor
- addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded
- rounding: ceiling
- addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded
- rounding: up
- addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded
- rounding: down
- addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded
- rounding: half_up
- addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded
- rounding: half_even
- addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded
- rounding: half_down
- addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded
- rounding: floor
- addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded
- rounding: ceiling
- addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded
- rounding: up
- addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded
- rounding: down
- addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded
- rounding: half_up
- addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded
- rounding: half_even
- addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded
- rounding: half_down
- addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded
- rounding: floor
- addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded
- rounding: ceiling
- addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded
- rounding: up
- addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded
- rounding: down
- addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded
- rounding: half_up
- addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded
- rounding: half_even
- addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded
- rounding: half_down
- addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded
- rounding: floor
- addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded
- rounding: ceiling
- addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded
- rounding: up
- addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded
- rounding: down
- addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded
- rounding: half_up
- addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded
- rounding: half_even
- addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded
- rounding: half_down
- addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded
- rounding: floor
- addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded
- rounding: ceiling
- addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded
- rounding: up
- addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded
- rounding: down
- addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded
- rounding: half_up
- addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded
- rounding: half_even
- addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded
- rounding: half_down
- addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded
- rounding: floor
- addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded
- rounding: ceiling
- addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded
- rounding: up
- addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded
- rounding: down
- addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded
- -- long operand triangle
- rounding: half_up
- precision: 37
- addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538
- precision: 36
- addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded
- precision: 35
- addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded
- precision: 34
- addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded
- precision: 33
- addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded
- precision: 32
- addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded
- precision: 31
- addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded
- precision: 30
- addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded
- precision: 29
- addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded
- precision: 28
- addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded
- precision: 27
- addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded
- precision: 26
- addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded
- precision: 25
- addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded
- precision: 24
- addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded
- precision: 23
- addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded
- precision: 22
- addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded
- precision: 21
- addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded
- precision: 20
- addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded
- precision: 19
- addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded
- precision: 18
- addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded
- precision: 17
- addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded
- precision: 16
- addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded
- precision: 15
- addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded
- precision: 14
- addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded
- precision: 13
- addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded
- precision: 12
- addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded
- precision: 11
- addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded
- precision: 10
- addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded
- precision: 9
- addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded
- precision: 8
- addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded
- precision: 7
- addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded
- precision: 6
- addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded
- precision: 5
- addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded
- precision: 4
- addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded
- precision: 3
- addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded
- precision: 2
- addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded
- precision: 1
- addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded
- -- more zeros, etc.
- rounding: half_up
- precision: 9
- addx701 add 5.00 1.00E-3 -> 5.00100
- addx702 add 00.00 0.000 -> 0.000
- addx703 add 00.00 0E-3 -> 0.000
- addx704 add 0E-3 00.00 -> 0.000
- addx710 add 0E+3 00.00 -> 0.00
- addx711 add 0E+3 00.0 -> 0.0
- addx712 add 0E+3 00. -> 0
- addx713 add 0E+3 00.E+1 -> 0E+1
- addx714 add 0E+3 00.E+2 -> 0E+2
- addx715 add 0E+3 00.E+3 -> 0E+3
- addx716 add 0E+3 00.E+4 -> 0E+3
- addx717 add 0E+3 00.E+5 -> 0E+3
- addx718 add 0E+3 -00.0 -> 0.0
- addx719 add 0E+3 -00. -> 0
- addx731 add 0E+3 -00.E+1 -> 0E+1
- addx720 add 00.00 0E+3 -> 0.00
- addx721 add 00.0 0E+3 -> 0.0
- addx722 add 00. 0E+3 -> 0
- addx723 add 00.E+1 0E+3 -> 0E+1
- addx724 add 00.E+2 0E+3 -> 0E+2
- addx725 add 00.E+3 0E+3 -> 0E+3
- addx726 add 00.E+4 0E+3 -> 0E+3
- addx727 add 00.E+5 0E+3 -> 0E+3
- addx728 add -00.00 0E+3 -> 0.00
- addx729 add -00.0 0E+3 -> 0.0
- addx730 add -00. 0E+3 -> 0
- addx732 add 0 0 -> 0
- addx733 add 0 -0 -> 0
- addx734 add -0 0 -> 0
- addx735 add -0 -0 -> -0 -- IEEE 854 special case
- addx736 add 1 -1 -> 0
- addx737 add -1 -1 -> -2
- addx738 add 1 1 -> 2
- addx739 add -1 1 -> 0
- addx741 add 0 -1 -> -1
- addx742 add -0 -1 -> -1
- addx743 add 0 1 -> 1
- addx744 add -0 1 -> 1
- addx745 add -1 0 -> -1
- addx746 add -1 -0 -> -1
- addx747 add 1 0 -> 1
- addx748 add 1 -0 -> 1
- addx751 add 0.0 -1 -> -1.0
- addx752 add -0.0 -1 -> -1.0
- addx753 add 0.0 1 -> 1.0
- addx754 add -0.0 1 -> 1.0
- addx755 add -1.0 0 -> -1.0
- addx756 add -1.0 -0 -> -1.0
- addx757 add 1.0 0 -> 1.0
- addx758 add 1.0 -0 -> 1.0
- addx761 add 0 -1.0 -> -1.0
- addx762 add -0 -1.0 -> -1.0
- addx763 add 0 1.0 -> 1.0
- addx764 add -0 1.0 -> 1.0
- addx765 add -1 0.0 -> -1.0
- addx766 add -1 -0.0 -> -1.0
- addx767 add 1 0.0 -> 1.0
- addx768 add 1 -0.0 -> 1.0
- addx771 add 0.0 -1.0 -> -1.0
- addx772 add -0.0 -1.0 -> -1.0
- addx773 add 0.0 1.0 -> 1.0
- addx774 add -0.0 1.0 -> 1.0
- addx775 add -1.0 0.0 -> -1.0
- addx776 add -1.0 -0.0 -> -1.0
- addx777 add 1.0 0.0 -> 1.0
- addx778 add 1.0 -0.0 -> 1.0
- -- Specials
- addx780 add -Inf -Inf -> -Infinity
- addx781 add -Inf -1000 -> -Infinity
- addx782 add -Inf -1 -> -Infinity
- addx783 add -Inf -0 -> -Infinity
- addx784 add -Inf 0 -> -Infinity
- addx785 add -Inf 1 -> -Infinity
- addx786 add -Inf 1000 -> -Infinity
- addx787 add -1000 -Inf -> -Infinity
- addx788 add -Inf -Inf -> -Infinity
- addx789 add -1 -Inf -> -Infinity
- addx790 add -0 -Inf -> -Infinity
- addx791 add 0 -Inf -> -Infinity
- addx792 add 1 -Inf -> -Infinity
- addx793 add 1000 -Inf -> -Infinity
- addx794 add Inf -Inf -> NaN Invalid_operation
- addx800 add Inf -Inf -> NaN Invalid_operation
- addx801 add Inf -1000 -> Infinity
- addx802 add Inf -1 -> Infinity
- addx803 add Inf -0 -> Infinity
- addx804 add Inf 0 -> Infinity
- addx805 add Inf 1 -> Infinity
- addx806 add Inf 1000 -> Infinity
- addx807 add Inf Inf -> Infinity
- addx808 add -1000 Inf -> Infinity
- addx809 add -Inf Inf -> NaN Invalid_operation
- addx810 add -1 Inf -> Infinity
- addx811 add -0 Inf -> Infinity
- addx812 add 0 Inf -> Infinity
- addx813 add 1 Inf -> Infinity
- addx814 add 1000 Inf -> Infinity
- addx815 add Inf Inf -> Infinity
- addx821 add NaN -Inf -> NaN
- addx822 add NaN -1000 -> NaN
- addx823 add NaN -1 -> NaN
- addx824 add NaN -0 -> NaN
- addx825 add NaN 0 -> NaN
- addx826 add NaN 1 -> NaN
- addx827 add NaN 1000 -> NaN
- addx828 add NaN Inf -> NaN
- addx829 add NaN NaN -> NaN
- addx830 add -Inf NaN -> NaN
- addx831 add -1000 NaN -> NaN
- addx832 add -1 NaN -> NaN
- addx833 add -0 NaN -> NaN
- addx834 add 0 NaN -> NaN
- addx835 add 1 NaN -> NaN
- addx836 add 1000 NaN -> NaN
- addx837 add Inf NaN -> NaN
- addx841 add sNaN -Inf -> NaN Invalid_operation
- addx842 add sNaN -1000 -> NaN Invalid_operation
- addx843 add sNaN -1 -> NaN Invalid_operation
- addx844 add sNaN -0 -> NaN Invalid_operation
- addx845 add sNaN 0 -> NaN Invalid_operation
- addx846 add sNaN 1 -> NaN Invalid_operation
- addx847 add sNaN 1000 -> NaN Invalid_operation
- addx848 add sNaN NaN -> NaN Invalid_operation
- addx849 add sNaN sNaN -> NaN Invalid_operation
- addx850 add NaN sNaN -> NaN Invalid_operation
- addx851 add -Inf sNaN -> NaN Invalid_operation
- addx852 add -1000 sNaN -> NaN Invalid_operation
- addx853 add -1 sNaN -> NaN Invalid_operation
- addx854 add -0 sNaN -> NaN Invalid_operation
- addx855 add 0 sNaN -> NaN Invalid_operation
- addx856 add 1 sNaN -> NaN Invalid_operation
- addx857 add 1000 sNaN -> NaN Invalid_operation
- addx858 add Inf sNaN -> NaN Invalid_operation
- addx859 add NaN sNaN -> NaN Invalid_operation
- -- propagating NaNs
- addx861 add NaN1 -Inf -> NaN1
- addx862 add +NaN2 -1000 -> NaN2
- addx863 add NaN3 1000 -> NaN3
- addx864 add NaN4 Inf -> NaN4
- addx865 add NaN5 +NaN6 -> NaN5
- addx866 add -Inf NaN7 -> NaN7
- addx867 add -1000 NaN8 -> NaN8
- addx868 add 1000 NaN9 -> NaN9
- addx869 add Inf +NaN10 -> NaN10
- addx871 add sNaN11 -Inf -> NaN11 Invalid_operation
- addx872 add sNaN12 -1000 -> NaN12 Invalid_operation
- addx873 add sNaN13 1000 -> NaN13 Invalid_operation
- addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation
- addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
- addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation
- addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation
- addx878 add -1000 sNaN21 -> NaN21 Invalid_operation
- addx879 add 1000 sNaN22 -> NaN22 Invalid_operation
- addx880 add Inf sNaN23 -> NaN23 Invalid_operation
- addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
- addx882 add -NaN26 NaN28 -> -NaN26
- addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
- addx884 add 1000 -NaN30 -> -NaN30
- addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
- -- overflow, underflow and subnormal tests
- maxexponent: 999999999
- minexponent: -999999999
- precision: 9
- addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded
- addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded
- addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal
- addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal
- addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal
- addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal
- addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded
- addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded
- addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal
- addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal
- addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal
- addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal
- addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999
- addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999
- precision: 3
- addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
- addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
- addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded
- addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
- precision: 3
- maxexponent: 999
- minexponent: -999
- addx910 add 1.00E-999 0 -> 1.00E-999
- addx911 add 0.1E-999 0 -> 1E-1000 Subnormal
- addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal
- addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
- addx914 add 0.01E-999 0 -> 1E-1001 Subnormal
- -- next is rounded to Nmin
- addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
- addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
- addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
- addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
- addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
- addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
- addx930 add -1.00E-999 0 -> -1.00E-999
- addx931 add -0.1E-999 0 -> -1E-1000 Subnormal
- addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal
- addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
- addx934 add -0.01E-999 0 -> -1E-1001 Subnormal
- -- next is rounded to Nmin
- addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
- addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
- addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
- addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
- addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
- addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
- -- some non-zero subnormal adds
- addx950 add 1.00E-999 0.1E-999 -> 1.10E-999
- addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal
- addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal
- addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded
- addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal
- addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded
- addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow
- addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow
- addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
- addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
- addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
- -- negatives...
- addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal
- addx962 add 0.1E-999 -0.1E-999 -> 0E-1000
- addx963 add 0.10E-999 -0.1E-999 -> 0E-1001
- addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped
- addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal
- addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow
- addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
- addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow
- addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
- addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
- addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
- -- some 'real' numbers
- maxExponent: 384
- minExponent: -383
- precision: 8
- addx566 add 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal
- precision: 7
- addx567 add 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal
- precision: 6
- addx568 add 99999061735E-394 0E-394 -> 9.9999E-384 Inexact Rounded Underflow Subnormal
- -- now the case where we can get underflow but the result is normal
- -- [note this can't happen if the operands are also bounded, as we
- -- cannot represent 1E-399, for example]
- precision: 16
- rounding: half_up
- maxExponent: 384
- minExponent: -383
- addx571 add 1E-383 0 -> 1E-383
- addx572 add 1E-384 0 -> 1E-384 Subnormal
- addx573 add 1E-383 1E-384 -> 1.1E-383
- addx574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
- -- Here we explore the boundary of rounding a subnormal to Nmin
- addx575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
- addx576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
- addx577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
- addx578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
- addx579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
- addx580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
- -- check overflow edge case
- precision: 7
- rounding: half_up
- maxExponent: 96
- minExponent: -95
- addx972 apply 9.999999E+96 -> 9.999999E+96
- addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded
- addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded
- addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded
- addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded
- addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded
- addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded
- addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded
- addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded
- addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded
- addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded
- addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded
- addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded
- addx985 apply -9.999999E+96 -> -9.999999E+96
- addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded
- addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded
- addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded
- addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded
- addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded
- addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded
- addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded
- addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded
- addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded
- addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded
- addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded
- addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded
- -- check for double-rounded subnormals
- precision: 5
- maxexponent: 79
- minexponent: -79
- -- Add: lhs and rhs 0
- addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
- addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
- addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
- addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
- addx1005 add 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
- addx1006 add 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
- -- Add: lhs >> rhs and vice versa
- addx1011 add 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
- addx1012 add 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
- addx1013 add 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
- addx1014 add 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
- addx1015 add 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
- addx1016 add 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
- -- Add: lhs + rhs addition carried out
- addx1021 add 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
- addx1022 add 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
- addx1023 add 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
- addx1024 add 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
- addx1025 add 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
- addx1026 add 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
- -- And for round down full and subnormal results
- precision: 16
- maxExponent: +384
- minExponent: -383
- rounding: down
- addx1100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
- addx1101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
- addx1103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
- addx1104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
- addx1105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
- addx1106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
- addx1107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
- addx1108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
- addx1109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
- rounding: ceiling
- addx1110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
- addx1111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
- addx1113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
- addx1114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
- addx1115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
- addx1116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
- addx1117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
- addx1118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
- addx1119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
- addx1120 add +1e-383 -1e+2 -> -99.99999999999999 Rounded Inexact
- addx1121 add +1e-383 -1e+1 -> -9.999999999999999 Rounded Inexact
- addx1123 add +1e-383 -1 -> -0.9999999999999999 Rounded Inexact
- addx1124 add +1e-383 -1e-1 -> -0.09999999999999999 Rounded Inexact
- addx1125 add +1e-383 -1e-2 -> -0.009999999999999999 Rounded Inexact
- addx1126 add +1e-383 -1e-3 -> -0.0009999999999999999 Rounded Inexact
- addx1127 add +1e-383 -1e-4 -> -0.00009999999999999999 Rounded Inexact
- addx1128 add +1e-383 -1e-5 -> -0.000009999999999999999 Rounded Inexact
- addx1129 add +1e-383 -1e-6 -> -9.999999999999999E-7 Rounded Inexact
- rounding: down
- precision: 7
- maxExponent: +96
- minExponent: -95
- addx1130 add 1 -1e-200 -> 0.9999999 Rounded Inexact
- -- subnormal boundary
- addx1131 add 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact
- addx1132 add 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact
- addx1133 add 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow
- addx1134 add 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow
- addx1135 add 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow
- addx1136 add 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow
- addx1137 add 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal
- addx1138 add 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow
- addx1139 add 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
- addx1140 add 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
- addx1141 add 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
- addx1142 add 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
- addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
- addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
- addx1151 add 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
- addx1152 add 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
- addx1153 add 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
- addx1154 add 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
- addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
- addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
- addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
- addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
- addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
- -- tests based on Gunnar Degnbol's edge case
- precision: 15
- rounding: half_up
- maxExponent: 384
- minexponent: -383
- addx1200 add 1E15 -0.5 -> 1.00000000000000E+15 Inexact Rounded
- addx1201 add 1E15 -0.50 -> 1.00000000000000E+15 Inexact Rounded
- addx1210 add 1E15 -0.51 -> 999999999999999 Inexact Rounded
- addx1211 add 1E15 -0.501 -> 999999999999999 Inexact Rounded
- addx1212 add 1E15 -0.5001 -> 999999999999999 Inexact Rounded
- addx1213 add 1E15 -0.50001 -> 999999999999999 Inexact Rounded
- addx1214 add 1E15 -0.500001 -> 999999999999999 Inexact Rounded
- addx1215 add 1E15 -0.5000001 -> 999999999999999 Inexact Rounded
- addx1216 add 1E15 -0.50000001 -> 999999999999999 Inexact Rounded
- addx1217 add 1E15 -0.500000001 -> 999999999999999 Inexact Rounded
- addx1218 add 1E15 -0.5000000001 -> 999999999999999 Inexact Rounded
- addx1219 add 1E15 -0.50000000001 -> 999999999999999 Inexact Rounded
- addx1220 add 1E15 -0.500000000001 -> 999999999999999 Inexact Rounded
- addx1221 add 1E15 -0.5000000000001 -> 999999999999999 Inexact Rounded
- addx1222 add 1E15 -0.50000000000001 -> 999999999999999 Inexact Rounded
- addx1223 add 1E15 -0.500000000000001 -> 999999999999999 Inexact Rounded
- addx1224 add 1E15 -0.5000000000000001 -> 999999999999999 Inexact Rounded
- addx1225 add 1E15 -0.5000000000000000 -> 1.00000000000000E+15 Inexact Rounded
- addx1230 add 1E15 -5000000.000000001 -> 999999995000000 Inexact Rounded
- precision: 16
- addx1300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
- addx1310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded
- addx1311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded
- addx1312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
- addx1313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
- addx1314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
- addx1315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
- addx1316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
- addx1317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
- addx1318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
- addx1319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
- addx1320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
- addx1321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
- addx1322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
- addx1323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
- addx1324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
- addx1325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
- addx1336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
- addx1337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
- addx1338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
- addx1339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
- addx1340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
- addx1341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
- addx1349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
- addx1350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
- addx1351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
- addx1352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
- addx1353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
- addx1354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
- addx1355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
- addx1356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
- addx1357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
- addx1358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
- addx1359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
- addx1360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
- addx1361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
- addx1362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
- addx1363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
- addx1364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
- addx1365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
- addx1376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
- addx1377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
- addx1378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
- addx1379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
- addx1380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
- addx1381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
- addx1382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx1383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx1384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx1385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx1386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx1387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx1388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx1389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
- addx1390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
- addx1391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
- addx1392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
- addx1393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
- addx1394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
- addx1395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
- addx1396 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
- precision: 15
- rounding: half_up
- maxExponent: 384
- minexponent: -383
- addx1400 add 0 1.23456789012345 -> 1.23456789012345
- addx1401 add 0 1.23456789012345E-1 -> 0.123456789012345
- addx1402 add 0 1.23456789012345E-2 -> 0.0123456789012345
- addx1403 add 0 1.23456789012345E-3 -> 0.00123456789012345
- addx1404 add 0 1.23456789012345E-4 -> 0.000123456789012345
- addx1405 add 0 1.23456789012345E-5 -> 0.0000123456789012345
- addx1406 add 0 1.23456789012345E-6 -> 0.00000123456789012345
- addx1407 add 0 1.23456789012345E-7 -> 1.23456789012345E-7
- addx1408 add 0 1.23456789012345E-8 -> 1.23456789012345E-8
- addx1409 add 0 1.23456789012345E-9 -> 1.23456789012345E-9
- addx1410 add 0 1.23456789012345E-10 -> 1.23456789012345E-10
- addx1411 add 0 1.23456789012345E-11 -> 1.23456789012345E-11
- addx1412 add 0 1.23456789012345E-12 -> 1.23456789012345E-12
- addx1413 add 0 1.23456789012345E-13 -> 1.23456789012345E-13
- addx1414 add 0 1.23456789012345E-14 -> 1.23456789012345E-14
- addx1415 add 0 1.23456789012345E-15 -> 1.23456789012345E-15
- addx1416 add 0 1.23456789012345E-16 -> 1.23456789012345E-16
- addx1417 add 0 1.23456789012345E-17 -> 1.23456789012345E-17
- addx1418 add 0 1.23456789012345E-18 -> 1.23456789012345E-18
- addx1419 add 0 1.23456789012345E-19 -> 1.23456789012345E-19
- -- same, precision 16..
- precision: 16
- addx1420 add 0 1.123456789012345 -> 1.123456789012345
- addx1421 add 0 1.123456789012345E-1 -> 0.1123456789012345
- addx1422 add 0 1.123456789012345E-2 -> 0.01123456789012345
- addx1423 add 0 1.123456789012345E-3 -> 0.001123456789012345
- addx1424 add 0 1.123456789012345E-4 -> 0.0001123456789012345
- addx1425 add 0 1.123456789012345E-5 -> 0.00001123456789012345
- addx1426 add 0 1.123456789012345E-6 -> 0.000001123456789012345
- addx1427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7
- addx1428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8
- addx1429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9
- addx1430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10
- addx1431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11
- addx1432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12
- addx1433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13
- addx1434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14
- addx1435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15
- addx1436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16
- addx1437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17
- addx1438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18
- addx1439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19
- -- same, reversed 0
- addx1440 add 1.123456789012345 0 -> 1.123456789012345
- addx1441 add 1.123456789012345E-1 0 -> 0.1123456789012345
- addx1442 add 1.123456789012345E-2 0 -> 0.01123456789012345
- addx1443 add 1.123456789012345E-3 0 -> 0.001123456789012345
- addx1444 add 1.123456789012345E-4 0 -> 0.0001123456789012345
- addx1445 add 1.123456789012345E-5 0 -> 0.00001123456789012345
- addx1446 add 1.123456789012345E-6 0 -> 0.000001123456789012345
- addx1447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7
- addx1448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8
- addx1449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9
- addx1450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10
- addx1451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11
- addx1452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12
- addx1453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13
- addx1454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14
- addx1455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15
- addx1456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16
- addx1457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17
- addx1458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18
- addx1459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19
- -- same, Es on the 0
- addx1460 add 1.123456789012345 0E-0 -> 1.123456789012345
- addx1461 add 1.123456789012345 0E-1 -> 1.123456789012345
- addx1462 add 1.123456789012345 0E-2 -> 1.123456789012345
- addx1463 add 1.123456789012345 0E-3 -> 1.123456789012345
- addx1464 add 1.123456789012345 0E-4 -> 1.123456789012345
- addx1465 add 1.123456789012345 0E-5 -> 1.123456789012345
- addx1466 add 1.123456789012345 0E-6 -> 1.123456789012345
- addx1467 add 1.123456789012345 0E-7 -> 1.123456789012345
- addx1468 add 1.123456789012345 0E-8 -> 1.123456789012345
- addx1469 add 1.123456789012345 0E-9 -> 1.123456789012345
- addx1470 add 1.123456789012345 0E-10 -> 1.123456789012345
- addx1471 add 1.123456789012345 0E-11 -> 1.123456789012345
- addx1472 add 1.123456789012345 0E-12 -> 1.123456789012345
- addx1473 add 1.123456789012345 0E-13 -> 1.123456789012345
- addx1474 add 1.123456789012345 0E-14 -> 1.123456789012345
- addx1475 add 1.123456789012345 0E-15 -> 1.123456789012345
- -- next four flag Rounded because the 0 extends the result
- addx1476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
- addx1477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
- addx1478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
- addx1479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
- -- sum of two opposite-sign operands is exactly 0 and floor => -0
- precision: 16
- maxExponent: 384
- minexponent: -383
- rounding: half_up
- -- exact zeros from zeros
- addx1500 add 0 0E-19 -> 0E-19
- addx1501 add -0 0E-19 -> 0E-19
- addx1502 add 0 -0E-19 -> 0E-19
- addx1503 add -0 -0E-19 -> -0E-19
- addx1504 add 0E-400 0E-19 -> 0E-398 Clamped
- addx1505 add -0E-400 0E-19 -> 0E-398 Clamped
- addx1506 add 0E-400 -0E-19 -> 0E-398 Clamped
- addx1507 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx1511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- -- some exact zeros from non-zeros
- addx1515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1516 add -1E-401 1E-401 -> 0E-398 Clamped
- addx1517 add 1E-401 -1E-401 -> 0E-398 Clamped
- addx1518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- rounding: half_down
- -- exact zeros from zeros
- addx1520 add 0 0E-19 -> 0E-19
- addx1521 add -0 0E-19 -> 0E-19
- addx1522 add 0 -0E-19 -> 0E-19
- addx1523 add -0 -0E-19 -> -0E-19
- addx1524 add 0E-400 0E-19 -> 0E-398 Clamped
- addx1525 add -0E-400 0E-19 -> 0E-398 Clamped
- addx1526 add 0E-400 -0E-19 -> 0E-398 Clamped
- addx1527 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx1531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- -- some exact zeros from non-zeros
- addx1535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1536 add -1E-401 1E-401 -> 0E-398 Clamped
- addx1537 add 1E-401 -1E-401 -> 0E-398 Clamped
- addx1538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- rounding: half_even
- -- exact zeros from zeros
- addx1540 add 0 0E-19 -> 0E-19
- addx1541 add -0 0E-19 -> 0E-19
- addx1542 add 0 -0E-19 -> 0E-19
- addx1543 add -0 -0E-19 -> -0E-19
- addx1544 add 0E-400 0E-19 -> 0E-398 Clamped
- addx1545 add -0E-400 0E-19 -> 0E-398 Clamped
- addx1546 add 0E-400 -0E-19 -> 0E-398 Clamped
- addx1547 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx1551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- -- some exact zeros from non-zeros
- addx1555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1556 add -1E-401 1E-401 -> 0E-398 Clamped
- addx1557 add 1E-401 -1E-401 -> 0E-398 Clamped
- addx1558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- rounding: up
- -- exact zeros from zeros
- addx1560 add 0 0E-19 -> 0E-19
- addx1561 add -0 0E-19 -> 0E-19
- addx1562 add 0 -0E-19 -> 0E-19
- addx1563 add -0 -0E-19 -> -0E-19
- addx1564 add 0E-400 0E-19 -> 0E-398 Clamped
- addx1565 add -0E-400 0E-19 -> 0E-398 Clamped
- addx1566 add 0E-400 -0E-19 -> 0E-398 Clamped
- addx1567 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx1571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
- addx1572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
- addx1573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
- addx1574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
- -- some exact zeros from non-zeros
- addx1575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
- addx1576 add -1E-401 1E-401 -> 0E-398 Clamped
- addx1577 add 1E-401 -1E-401 -> 0E-398 Clamped
- addx1578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
- rounding: down
- -- exact zeros from zeros
- addx1580 add 0 0E-19 -> 0E-19
- addx1581 add -0 0E-19 -> 0E-19
- addx1582 add 0 -0E-19 -> 0E-19
- addx1583 add -0 -0E-19 -> -0E-19
- addx1584 add 0E-400 0E-19 -> 0E-398 Clamped
- addx1585 add -0E-400 0E-19 -> 0E-398 Clamped
- addx1586 add 0E-400 -0E-19 -> 0E-398 Clamped
- addx1587 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx1591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- -- some exact zeros from non-zeros
- addx1595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1596 add -1E-401 1E-401 -> 0E-398 Clamped
- addx1597 add 1E-401 -1E-401 -> 0E-398 Clamped
- addx1598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- rounding: ceiling
- -- exact zeros from zeros
- addx1600 add 0 0E-19 -> 0E-19
- addx1601 add -0 0E-19 -> 0E-19
- addx1602 add 0 -0E-19 -> 0E-19
- addx1603 add -0 -0E-19 -> -0E-19
- addx1604 add 0E-400 0E-19 -> 0E-398 Clamped
- addx1605 add -0E-400 0E-19 -> 0E-398 Clamped
- addx1606 add 0E-400 -0E-19 -> 0E-398 Clamped
- addx1607 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx1611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
- addx1612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
- addx1613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- -- some exact zeros from non-zeros
- addx1615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
- addx1616 add -1E-401 1E-401 -> 0E-398 Clamped
- addx1617 add 1E-401 -1E-401 -> 0E-398 Clamped
- addx1618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- -- and the extra-special ugly case; unusual minuses marked by -- *
- rounding: floor
- -- exact zeros from zeros
- addx1620 add 0 0E-19 -> 0E-19
- addx1621 add -0 0E-19 -> -0E-19 -- *
- addx1622 add 0 -0E-19 -> -0E-19 -- *
- addx1623 add -0 -0E-19 -> -0E-19
- addx1624 add 0E-400 0E-19 -> 0E-398 Clamped
- addx1625 add -0E-400 0E-19 -> -0E-398 Clamped -- *
- addx1626 add 0E-400 -0E-19 -> -0E-398 Clamped -- *
- addx1627 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx1631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
- addx1634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
- -- some exact zeros from non-zeros
- addx1635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx1636 add -1E-401 1E-401 -> -0E-398 Clamped -- *
- addx1637 add 1E-401 -1E-401 -> -0E-398 Clamped -- *
- addx1638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
- -- BigDecimal problem testcases 2006.01.23
- precision: 16
- maxExponent: 384
- minexponent: -383
- rounding: down
- precision: 7
- addx1651 add 10001E+2 -2E+1 -> 1.00008E+6
- precision: 6
- addx1652 add 10001E+2 -2E+1 -> 1.00008E+6
- precision: 5
- addx1653 add 10001E+2 -2E+1 -> 1.0000E+6 Inexact Rounded
- precision: 4
- addx1654 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
- precision: 3
- addx1655 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
- precision: 2
- addx1656 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
- precision: 1
- addx1657 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
- rounding: half_even
- precision: 7
- addx1661 add 10001E+2 -2E+1 -> 1.00008E+6
- precision: 6
- addx1662 add 10001E+2 -2E+1 -> 1.00008E+6
- precision: 5
- addx1663 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
- precision: 4
- addx1664 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
- precision: 3
- addx1665 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
- precision: 2
- addx1666 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
- precision: 1
- addx1667 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
- rounding: up
- precision: 7
- addx1671 add 10001E+2 -2E+1 -> 1.00008E+6
- precision: 6
- addx1672 add 10001E+2 -2E+1 -> 1.00008E+6
- precision: 5
- addx1673 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
- precision: 4
- addx1674 add 10001E+2 -2E+1 -> 1.001E+6 Inexact Rounded
- precision: 3
- addx1675 add 10001E+2 -2E+1 -> 1.01E+6 Inexact Rounded
- precision: 2
- addx1676 add 10001E+2 -2E+1 -> 1.1E+6 Inexact Rounded
- precision: 1
- addx1677 add 10001E+2 -2E+1 -> 2E+6 Inexact Rounded
- precision: 34
- rounding: half_up
- maxExponent: 6144
- minExponent: -6143
- -- Examples from SQL proposal (Krishna Kulkarni)
- addx1701 add 130E-2 120E-2 -> 2.50
- addx1702 add 130E-2 12E-1 -> 2.50
- addx1703 add 130E-2 1E0 -> 2.30
- addx1704 add 1E2 1E4 -> 1.01E+4
- addx1705 subtract 130E-2 120E-2 -> 0.10
- addx1706 subtract 130E-2 12E-1 -> 0.10
- addx1707 subtract 130E-2 1E0 -> 0.30
- addx1708 subtract 1E2 1E4 -> -9.9E+3
- ------------------------------------------------------------------------
- -- Same as above, using decimal64 default parameters --
- ------------------------------------------------------------------------
- precision: 16
- rounding: half_even
- maxExponent: 384
- minexponent: -383
- -- [first group are 'quick confidence check']
- addx6001 add 1 1 -> 2
- addx6002 add 2 3 -> 5
- addx6003 add '5.75' '3.3' -> 9.05
- addx6004 add '5' '-3' -> 2
- addx6005 add '-5' '-3' -> -8
- addx6006 add '-7' '2.5' -> -4.5
- addx6007 add '0.7' '0.3' -> 1.0
- addx6008 add '1.25' '1.25' -> 2.50
- addx6009 add '1.23456789' '1.00000000' -> '2.23456789'
- addx6010 add '1.23456789' '1.00000011' -> '2.23456800'
- addx6011 add '0.44444444444444444' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
- addx6012 add '0.44444444444444440' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
- addx6013 add '0.44444444444444444' '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded
- addx6014 add '0.444444444444444449' '0' -> '0.4444444444444444' Inexact Rounded
- addx6015 add '0.4444444444444444499' '0' -> '0.4444444444444444' Inexact Rounded
- addx6016 add '0.44444444444444444999' '0' -> '0.4444444444444444' Inexact Rounded
- addx6017 add '0.44444444444444445000' '0' -> '0.4444444444444444' Inexact Rounded
- addx6018 add '0.44444444444444445001' '0' -> '0.4444444444444445' Inexact Rounded
- addx6019 add '0.4444444444444444501' '0' -> '0.4444444444444445' Inexact Rounded
- addx6020 add '0.444444444444444451' '0' -> '0.4444444444444445' Inexact Rounded
- addx6021 add 0 1 -> 1
- addx6022 add 1 1 -> 2
- addx6023 add 2 1 -> 3
- addx6024 add 3 1 -> 4
- addx6025 add 4 1 -> 5
- addx6026 add 5 1 -> 6
- addx6027 add 6 1 -> 7
- addx6028 add 7 1 -> 8
- addx6029 add 8 1 -> 9
- addx6030 add 9 1 -> 10
- -- some carrying effects
- addx6031 add '0.9998' '0.0000' -> '0.9998'
- addx6032 add '0.9998' '0.0001' -> '0.9999'
- addx6033 add '0.9998' '0.0002' -> '1.0000'
- addx6034 add '0.9998' '0.0003' -> '1.0001'
- addx6035 add '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
- addx6036 add '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
- addx6037 add '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
- addx6038 add '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded
- addx6039 add '700000' '10000e+16' -> '1.000000000000007E+20' Rounded
- -- symmetry:
- addx6040 add '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
- addx6041 add '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
- addx6042 add '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded
- addx6044 add '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded
- addx6045 add '10000e+16' '700000' -> '1.000000000000007E+20' Rounded
- addx6046 add '10000e+9' '7' -> '10000000000007'
- addx6047 add '10000e+9' '70' -> '10000000000070'
- addx6048 add '10000e+9' '700' -> '10000000000700'
- addx6049 add '10000e+9' '7000' -> '10000000007000'
- addx6050 add '10000e+9' '70000' -> '10000000070000'
- addx6051 add '10000e+9' '700000' -> '10000000700000'
- -- examples from decarith
- addx6053 add '12' '7.00' -> '19.00'
- addx6054 add '1.3' '-1.07' -> '0.23'
- addx6055 add '1.3' '-1.30' -> '0.00'
- addx6056 add '1.3' '-2.07' -> '-0.77'
- addx6057 add '1E+2' '1E+4' -> '1.01E+4'
- -- from above
- addx6060 add 1 '0.1' -> '1.1'
- addx6061 add 1 '0.01' -> '1.01'
- addx6062 add 1 '0.001' -> '1.001'
- addx6063 add 1 '0.0001' -> '1.0001'
- addx6064 add 1 '0.00001' -> '1.00001'
- addx6065 add 1 '0.000001' -> '1.000001'
- addx6066 add 1 '0.0000001' -> '1.0000001'
- addx6067 add 1 '0.00000001' -> '1.00000001'
- -- cancellation to integer
- addx6068 add 99999999999999123456789 -99999999999999E+9 -> 123456789
- -- similar from FMA fun
- addx6069 add "-1234567890123455.234567890123454" "1234567890123456" -> 0.765432109876546
- -- some funny zeros [in case of bad signum]
- addx6070 add 1 0 -> 1
- addx6071 add 1 0. -> 1
- addx6072 add 1 .0 -> 1.0
- addx6073 add 1 0.0 -> 1.0
- addx6074 add 1 0.00 -> 1.00
- addx6075 add 0 1 -> 1
- addx6076 add 0. 1 -> 1
- addx6077 add .0 1 -> 1.0
- addx6078 add 0.0 1 -> 1.0
- addx6079 add 0.00 1 -> 1.00
- -- some carries
- addx6080 add 9999999999999998 1 -> 9999999999999999
- addx6081 add 9999999999999999 1 -> 1.000000000000000E+16 Rounded
- addx6082 add 999999999999999 1 -> 1000000000000000
- addx6083 add 9999999999999 1 -> 10000000000000
- addx6084 add 99999999999 1 -> 100000000000
- addx6085 add 999999999 1 -> 1000000000
- addx6086 add 9999999 1 -> 10000000
- addx6087 add 99999 1 -> 100000
- addx6088 add 999 1 -> 1000
- addx6089 add 9 1 -> 10
- -- more LHS swaps
- addx6090 add '-56267E-10' 0 -> '-0.0000056267'
- addx6091 add '-56267E-6' 0 -> '-0.056267'
- addx6092 add '-56267E-5' 0 -> '-0.56267'
- addx6093 add '-56267E-4' 0 -> '-5.6267'
- addx6094 add '-56267E-3' 0 -> '-56.267'
- addx6095 add '-56267E-2' 0 -> '-562.67'
- addx6096 add '-56267E-1' 0 -> '-5626.7'
- addx6097 add '-56267E-0' 0 -> '-56267'
- addx6098 add '-5E-10' 0 -> '-5E-10'
- addx6099 add '-5E-7' 0 -> '-5E-7'
- addx6100 add '-5E-6' 0 -> '-0.000005'
- addx6101 add '-5E-5' 0 -> '-0.00005'
- addx6102 add '-5E-4' 0 -> '-0.0005'
- addx6103 add '-5E-1' 0 -> '-0.5'
- addx6104 add '-5E0' 0 -> '-5'
- addx6105 add '-5E1' 0 -> '-50'
- addx6106 add '-5E5' 0 -> '-500000'
- addx6107 add '-5E15' 0 -> '-5000000000000000'
- addx6108 add '-5E16' 0 -> '-5.000000000000000E+16' Rounded
- addx6109 add '-5E17' 0 -> '-5.000000000000000E+17' Rounded
- addx6110 add '-5E18' 0 -> '-5.000000000000000E+18' Rounded
- addx6111 add '-5E100' 0 -> '-5.000000000000000E+100' Rounded
- -- more RHS swaps
- addx6113 add 0 '-56267E-10' -> '-0.0000056267'
- addx6114 add 0 '-56267E-6' -> '-0.056267'
- addx6116 add 0 '-56267E-5' -> '-0.56267'
- addx6117 add 0 '-56267E-4' -> '-5.6267'
- addx6119 add 0 '-56267E-3' -> '-56.267'
- addx6120 add 0 '-56267E-2' -> '-562.67'
- addx6121 add 0 '-56267E-1' -> '-5626.7'
- addx6122 add 0 '-56267E-0' -> '-56267'
- addx6123 add 0 '-5E-10' -> '-5E-10'
- addx6124 add 0 '-5E-7' -> '-5E-7'
- addx6125 add 0 '-5E-6' -> '-0.000005'
- addx6126 add 0 '-5E-5' -> '-0.00005'
- addx6127 add 0 '-5E-4' -> '-0.0005'
- addx6128 add 0 '-5E-1' -> '-0.5'
- addx6129 add 0 '-5E0' -> '-5'
- addx6130 add 0 '-5E1' -> '-50'
- addx6131 add 0 '-5E5' -> '-500000'
- addx6132 add 0 '-5E15' -> '-5000000000000000'
- addx6133 add 0 '-5E16' -> '-5.000000000000000E+16' Rounded
- addx6134 add 0 '-5E17' -> '-5.000000000000000E+17' Rounded
- addx6135 add 0 '-5E18' -> '-5.000000000000000E+18' Rounded
- addx6136 add 0 '-5E100' -> '-5.000000000000000E+100' Rounded
- -- related
- addx6137 add 1 '0E-19' -> '1.000000000000000' Rounded
- addx6138 add -1 '0E-19' -> '-1.000000000000000' Rounded
- addx6139 add '0E-19' 1 -> '1.000000000000000' Rounded
- addx6140 add '0E-19' -1 -> '-1.000000000000000' Rounded
- addx6141 add 1E+11 0.0000 -> '100000000000.0000'
- addx6142 add 1E+11 0.00000 -> '100000000000.0000' Rounded
- addx6143 add 0.000 1E+12 -> '1000000000000.000'
- addx6144 add 0.0000 1E+12 -> '1000000000000.000' Rounded
- -- [some of the next group are really constructor tests]
- addx6146 add '00.0' 0 -> '0.0'
- addx6147 add '0.00' 0 -> '0.00'
- addx6148 add 0 '0.00' -> '0.00'
- addx6149 add 0 '00.0' -> '0.0'
- addx6150 add '00.0' '0.00' -> '0.00'
- addx6151 add '0.00' '00.0' -> '0.00'
- addx6152 add '3' '.3' -> '3.3'
- addx6153 add '3.' '.3' -> '3.3'
- addx6154 add '3.0' '.3' -> '3.3'
- addx6155 add '3.00' '.3' -> '3.30'
- addx6156 add '3' '3' -> '6'
- addx6157 add '3' '+3' -> '6'
- addx6158 add '3' '-3' -> '0'
- addx6159 add '0.3' '-0.3' -> '0.0'
- addx6160 add '0.03' '-0.03' -> '0.00'
- -- try borderline precision, with carries, etc.
- addx6161 add '1E+13' '-1' -> '9999999999999'
- addx6162 add '1E+13' '1.11' -> '10000000000001.11'
- addx6163 add '1.11' '1E+13' -> '10000000000001.11'
- addx6164 add '-1' '1E+13' -> '9999999999999'
- addx6165 add '7E+13' '-1' -> '69999999999999'
- addx6166 add '7E+13' '1.11' -> '70000000000001.11'
- addx6167 add '1.11' '7E+13' -> '70000000000001.11'
- addx6168 add '-1' '7E+13' -> '69999999999999'
- -- 1234567890123456 1234567890123456 1 234567890123456
- addx6170 add '0.4444444444444444' '0.5555555555555563' -> '1.000000000000001' Inexact Rounded
- addx6171 add '0.4444444444444444' '0.5555555555555562' -> '1.000000000000001' Inexact Rounded
- addx6172 add '0.4444444444444444' '0.5555555555555561' -> '1.000000000000000' Inexact Rounded
- addx6173 add '0.4444444444444444' '0.5555555555555560' -> '1.000000000000000' Inexact Rounded
- addx6174 add '0.4444444444444444' '0.5555555555555559' -> '1.000000000000000' Inexact Rounded
- addx6175 add '0.4444444444444444' '0.5555555555555558' -> '1.000000000000000' Inexact Rounded
- addx6176 add '0.4444444444444444' '0.5555555555555557' -> '1.000000000000000' Inexact Rounded
- addx6177 add '0.4444444444444444' '0.5555555555555556' -> '1.000000000000000' Rounded
- addx6178 add '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999'
- addx6179 add '0.4444444444444444' '0.5555555555555554' -> '0.9999999999999998'
- addx6180 add '0.4444444444444444' '0.5555555555555553' -> '0.9999999999999997'
- addx6181 add '0.4444444444444444' '0.5555555555555552' -> '0.9999999999999996'
- addx6182 add '0.4444444444444444' '0.5555555555555551' -> '0.9999999999999995'
- addx6183 add '0.4444444444444444' '0.5555555555555550' -> '0.9999999999999994'
- -- and some more, including residue effects and different roundings
- rounding: half_up
- addx6200 add '6543210123456789' 0 -> '6543210123456789'
- addx6201 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
- addx6202 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
- addx6203 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
- addx6204 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
- addx6205 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
- addx6206 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
- addx6207 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
- addx6208 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
- addx6209 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
- addx6210 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
- addx6211 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
- addx6212 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
- addx6213 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
- addx6214 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
- addx6215 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
- addx6216 add '6543210123456789' 1 -> '6543210123456790'
- addx6217 add '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded
- addx6218 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
- addx6219 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
- rounding: half_even
- addx6220 add '6543210123456789' 0 -> '6543210123456789'
- addx6221 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
- addx6222 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
- addx6223 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
- addx6224 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
- addx6225 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
- addx6226 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
- addx6227 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
- addx6228 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
- addx6229 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
- addx6230 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
- addx6231 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
- addx6232 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
- addx6233 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
- addx6234 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
- addx6235 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
- addx6236 add '6543210123456789' 1 -> '6543210123456790'
- addx6237 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
- addx6238 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
- addx6239 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
- -- critical few with even bottom digit...
- addx6240 add '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded
- addx6241 add '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded
- addx6242 add '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded
- rounding: down
- addx6250 add '6543210123456789' 0 -> '6543210123456789'
- addx6251 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
- addx6252 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
- addx6253 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
- addx6254 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
- addx6255 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
- addx6256 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
- addx6257 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
- addx6258 add '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded
- addx6259 add '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded
- addx6260 add '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded
- addx6261 add '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded
- addx6262 add '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded
- addx6263 add '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded
- addx6264 add '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded
- addx6265 add '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded
- addx6266 add '6543210123456789' 1 -> '6543210123456790'
- addx6267 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
- addx6268 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
- addx6269 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
- -- 1 in last place tests
- rounding: half_even
- addx6301 add -1 1 -> 0
- addx6302 add 0 1 -> 1
- addx6303 add 1 1 -> 2
- addx6304 add 12 1 -> 13
- addx6305 add 98 1 -> 99
- addx6306 add 99 1 -> 100
- addx6307 add 100 1 -> 101
- addx6308 add 101 1 -> 102
- addx6309 add -1 -1 -> -2
- addx6310 add 0 -1 -> -1
- addx6311 add 1 -1 -> 0
- addx6312 add 12 -1 -> 11
- addx6313 add 98 -1 -> 97
- addx6314 add 99 -1 -> 98
- addx6315 add 100 -1 -> 99
- addx6316 add 101 -1 -> 100
- addx6321 add -0.01 0.01 -> 0.00
- addx6322 add 0.00 0.01 -> 0.01
- addx6323 add 0.01 0.01 -> 0.02
- addx6324 add 0.12 0.01 -> 0.13
- addx6325 add 0.98 0.01 -> 0.99
- addx6326 add 0.99 0.01 -> 1.00
- addx6327 add 1.00 0.01 -> 1.01
- addx6328 add 1.01 0.01 -> 1.02
- addx6329 add -0.01 -0.01 -> -0.02
- addx6330 add 0.00 -0.01 -> -0.01
- addx6331 add 0.01 -0.01 -> 0.00
- addx6332 add 0.12 -0.01 -> 0.11
- addx6333 add 0.98 -0.01 -> 0.97
- addx6334 add 0.99 -0.01 -> 0.98
- addx6335 add 1.00 -0.01 -> 0.99
- addx6336 add 1.01 -0.01 -> 1.00
- -- some more cases where adding 0 affects the coefficient
- addx6340 add 1E+3 0 -> 1000
- addx6341 add 1E+15 0 -> 1000000000000000
- addx6342 add 1E+16 0 -> 1.000000000000000E+16 Rounded
- addx6343 add 1E+17 0 -> 1.000000000000000E+17 Rounded
- -- which simply follow from these cases ...
- addx6344 add 1E+3 1 -> 1001
- addx6345 add 1E+15 1 -> 1000000000000001
- addx6346 add 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded
- addx6347 add 1E+17 1 -> 1.000000000000000E+17 Inexact Rounded
- addx6348 add 1E+3 7 -> 1007
- addx6349 add 1E+15 7 -> 1000000000000007
- addx6350 add 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded
- addx6351 add 1E+17 7 -> 1.000000000000000E+17 Inexact Rounded
- -- tryzeros cases
- addx6361 add 0E+50 10000E+1 -> 1.0000E+5
- addx6362 add 10000E+1 0E-50 -> 100000.0000000000 Rounded
- addx6363 add 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact
- addx6364 add 12.34 0e-398 -> 12.34000000000000 Rounded
- -- ulp replacement tests
- addx6400 add 1 77e-14 -> 1.00000000000077
- addx6401 add 1 77e-15 -> 1.000000000000077
- addx6402 add 1 77e-16 -> 1.000000000000008 Inexact Rounded
- addx6403 add 1 77e-17 -> 1.000000000000001 Inexact Rounded
- addx6404 add 1 77e-18 -> 1.000000000000000 Inexact Rounded
- addx6405 add 1 77e-19 -> 1.000000000000000 Inexact Rounded
- addx6406 add 1 77e-99 -> 1.000000000000000 Inexact Rounded
- addx6410 add 10 77e-14 -> 10.00000000000077
- addx6411 add 10 77e-15 -> 10.00000000000008 Inexact Rounded
- addx6412 add 10 77e-16 -> 10.00000000000001 Inexact Rounded
- addx6413 add 10 77e-17 -> 10.00000000000000 Inexact Rounded
- addx6414 add 10 77e-18 -> 10.00000000000000 Inexact Rounded
- addx6415 add 10 77e-19 -> 10.00000000000000 Inexact Rounded
- addx6416 add 10 77e-99 -> 10.00000000000000 Inexact Rounded
- addx6420 add 77e-14 1 -> 1.00000000000077
- addx6421 add 77e-15 1 -> 1.000000000000077
- addx6422 add 77e-16 1 -> 1.000000000000008 Inexact Rounded
- addx6423 add 77e-17 1 -> 1.000000000000001 Inexact Rounded
- addx6424 add 77e-18 1 -> 1.000000000000000 Inexact Rounded
- addx6425 add 77e-19 1 -> 1.000000000000000 Inexact Rounded
- addx6426 add 77e-99 1 -> 1.000000000000000 Inexact Rounded
- addx6430 add 77e-14 10 -> 10.00000000000077
- addx6431 add 77e-15 10 -> 10.00000000000008 Inexact Rounded
- addx6432 add 77e-16 10 -> 10.00000000000001 Inexact Rounded
- addx6433 add 77e-17 10 -> 10.00000000000000 Inexact Rounded
- addx6434 add 77e-18 10 -> 10.00000000000000 Inexact Rounded
- addx6435 add 77e-19 10 -> 10.00000000000000 Inexact Rounded
- addx6436 add 77e-99 10 -> 10.00000000000000 Inexact Rounded
- -- negative ulps
- addx6440 add 1 -77e-14 -> 0.99999999999923
- addx6441 add 1 -77e-15 -> 0.999999999999923
- addx6442 add 1 -77e-16 -> 0.9999999999999923
- addx6443 add 1 -77e-17 -> 0.9999999999999992 Inexact Rounded
- addx6444 add 1 -77e-18 -> 0.9999999999999999 Inexact Rounded
- addx6445 add 1 -77e-19 -> 1.000000000000000 Inexact Rounded
- addx6446 add 1 -77e-99 -> 1.000000000000000 Inexact Rounded
- addx6450 add 10 -77e-14 -> 9.99999999999923
- addx6451 add 10 -77e-15 -> 9.999999999999923
- addx6452 add 10 -77e-16 -> 9.999999999999992 Inexact Rounded
- addx6453 add 10 -77e-17 -> 9.999999999999999 Inexact Rounded
- addx6454 add 10 -77e-18 -> 10.00000000000000 Inexact Rounded
- addx6455 add 10 -77e-19 -> 10.00000000000000 Inexact Rounded
- addx6456 add 10 -77e-99 -> 10.00000000000000 Inexact Rounded
- addx6460 add -77e-14 1 -> 0.99999999999923
- addx6461 add -77e-15 1 -> 0.999999999999923
- addx6462 add -77e-16 1 -> 0.9999999999999923
- addx6463 add -77e-17 1 -> 0.9999999999999992 Inexact Rounded
- addx6464 add -77e-18 1 -> 0.9999999999999999 Inexact Rounded
- addx6465 add -77e-19 1 -> 1.000000000000000 Inexact Rounded
- addx6466 add -77e-99 1 -> 1.000000000000000 Inexact Rounded
- addx6470 add -77e-14 10 -> 9.99999999999923
- addx6471 add -77e-15 10 -> 9.999999999999923
- addx6472 add -77e-16 10 -> 9.999999999999992 Inexact Rounded
- addx6473 add -77e-17 10 -> 9.999999999999999 Inexact Rounded
- addx6474 add -77e-18 10 -> 10.00000000000000 Inexact Rounded
- addx6475 add -77e-19 10 -> 10.00000000000000 Inexact Rounded
- addx6476 add -77e-99 10 -> 10.00000000000000 Inexact Rounded
- -- negative ulps
- addx6480 add -1 77e-14 -> -0.99999999999923
- addx6481 add -1 77e-15 -> -0.999999999999923
- addx6482 add -1 77e-16 -> -0.9999999999999923
- addx6483 add -1 77e-17 -> -0.9999999999999992 Inexact Rounded
- addx6484 add -1 77e-18 -> -0.9999999999999999 Inexact Rounded
- addx6485 add -1 77e-19 -> -1.000000000000000 Inexact Rounded
- addx6486 add -1 77e-99 -> -1.000000000000000 Inexact Rounded
- addx6490 add -10 77e-14 -> -9.99999999999923
- addx6491 add -10 77e-15 -> -9.999999999999923
- addx6492 add -10 77e-16 -> -9.999999999999992 Inexact Rounded
- addx6493 add -10 77e-17 -> -9.999999999999999 Inexact Rounded
- addx6494 add -10 77e-18 -> -10.00000000000000 Inexact Rounded
- addx6495 add -10 77e-19 -> -10.00000000000000 Inexact Rounded
- addx6496 add -10 77e-99 -> -10.00000000000000 Inexact Rounded
- addx6500 add 77e-14 -1 -> -0.99999999999923
- addx6501 add 77e-15 -1 -> -0.999999999999923
- addx6502 add 77e-16 -1 -> -0.9999999999999923
- addx6503 add 77e-17 -1 -> -0.9999999999999992 Inexact Rounded
- addx6504 add 77e-18 -1 -> -0.9999999999999999 Inexact Rounded
- addx6505 add 77e-19 -1 -> -1.000000000000000 Inexact Rounded
- addx6506 add 77e-99 -1 -> -1.000000000000000 Inexact Rounded
- addx6510 add 77e-14 -10 -> -9.99999999999923
- addx6511 add 77e-15 -10 -> -9.999999999999923
- addx6512 add 77e-16 -10 -> -9.999999999999992 Inexact Rounded
- addx6513 add 77e-17 -10 -> -9.999999999999999 Inexact Rounded
- addx6514 add 77e-18 -10 -> -10.00000000000000 Inexact Rounded
- addx6515 add 77e-19 -10 -> -10.00000000000000 Inexact Rounded
- addx6516 add 77e-99 -10 -> -10.00000000000000 Inexact Rounded
- -- long operands
- addx6521 add 101234562345678000 0 -> 1.012345623456780E+17 Rounded
- addx6522 add 0 101234562345678000 -> 1.012345623456780E+17 Rounded
- addx6523 add 10123456234567800 0 -> 1.012345623456780E+16 Rounded
- addx6524 add 0 10123456234567800 -> 1.012345623456780E+16 Rounded
- addx6525 add 10123456234567890 0 -> 1.012345623456789E+16 Rounded
- addx6526 add 0 10123456234567890 -> 1.012345623456789E+16 Rounded
- addx6527 add 10123456234567891 0 -> 1.012345623456789E+16 Inexact Rounded
- addx6528 add 0 10123456234567891 -> 1.012345623456789E+16 Inexact Rounded
- addx6529 add 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded
- addx6530 add 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded
- addx6531 add 10123456234567896 0 -> 1.012345623456790E+16 Inexact Rounded
- addx6532 add 0 10123456234567896 -> 1.012345623456790E+16 Inexact Rounded
- -- verify a query
- rounding: down
- addx6561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
- addx6562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
- -- and using decimal64 bounds...
- rounding: down
- addx6563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
- addx6564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
- -- more zeros, etc.
- rounding: half_even
- addx6701 add 5.00 1.00E-3 -> 5.00100
- addx6702 add 00.00 0.000 -> 0.000
- addx6703 add 00.00 0E-3 -> 0.000
- addx6704 add 0E-3 00.00 -> 0.000
- addx6710 add 0E+3 00.00 -> 0.00
- addx6711 add 0E+3 00.0 -> 0.0
- addx6712 add 0E+3 00. -> 0
- addx6713 add 0E+3 00.E+1 -> 0E+1
- addx6714 add 0E+3 00.E+2 -> 0E+2
- addx6715 add 0E+3 00.E+3 -> 0E+3
- addx6716 add 0E+3 00.E+4 -> 0E+3
- addx6717 add 0E+3 00.E+5 -> 0E+3
- addx6718 add 0E+3 -00.0 -> 0.0
- addx6719 add 0E+3 -00. -> 0
- addx6731 add 0E+3 -00.E+1 -> 0E+1
- addx6720 add 00.00 0E+3 -> 0.00
- addx6721 add 00.0 0E+3 -> 0.0
- addx6722 add 00. 0E+3 -> 0
- addx6723 add 00.E+1 0E+3 -> 0E+1
- addx6724 add 00.E+2 0E+3 -> 0E+2
- addx6725 add 00.E+3 0E+3 -> 0E+3
- addx6726 add 00.E+4 0E+3 -> 0E+3
- addx6727 add 00.E+5 0E+3 -> 0E+3
- addx6728 add -00.00 0E+3 -> 0.00
- addx6729 add -00.0 0E+3 -> 0.0
- addx6730 add -00. 0E+3 -> 0
- addx6732 add 0 0 -> 0
- addx6733 add 0 -0 -> 0
- addx6734 add -0 0 -> 0
- addx6735 add -0 -0 -> -0 -- IEEE 854 special case
- addx6736 add 1 -1 -> 0
- addx6737 add -1 -1 -> -2
- addx6738 add 1 1 -> 2
- addx6739 add -1 1 -> 0
- addx6741 add 0 -1 -> -1
- addx6742 add -0 -1 -> -1
- addx6743 add 0 1 -> 1
- addx6744 add -0 1 -> 1
- addx6745 add -1 0 -> -1
- addx6746 add -1 -0 -> -1
- addx6747 add 1 0 -> 1
- addx6748 add 1 -0 -> 1
- addx6751 add 0.0 -1 -> -1.0
- addx6752 add -0.0 -1 -> -1.0
- addx6753 add 0.0 1 -> 1.0
- addx6754 add -0.0 1 -> 1.0
- addx6755 add -1.0 0 -> -1.0
- addx6756 add -1.0 -0 -> -1.0
- addx6757 add 1.0 0 -> 1.0
- addx6758 add 1.0 -0 -> 1.0
- addx6761 add 0 -1.0 -> -1.0
- addx6762 add -0 -1.0 -> -1.0
- addx6763 add 0 1.0 -> 1.0
- addx6764 add -0 1.0 -> 1.0
- addx6765 add -1 0.0 -> -1.0
- addx6766 add -1 -0.0 -> -1.0
- addx6767 add 1 0.0 -> 1.0
- addx6768 add 1 -0.0 -> 1.0
- addx6771 add 0.0 -1.0 -> -1.0
- addx6772 add -0.0 -1.0 -> -1.0
- addx6773 add 0.0 1.0 -> 1.0
- addx6774 add -0.0 1.0 -> 1.0
- addx6775 add -1.0 0.0 -> -1.0
- addx6776 add -1.0 -0.0 -> -1.0
- addx6777 add 1.0 0.0 -> 1.0
- addx6778 add 1.0 -0.0 -> 1.0
- -- Specials
- addx6780 add -Inf -Inf -> -Infinity
- addx6781 add -Inf -1000 -> -Infinity
- addx6782 add -Inf -1 -> -Infinity
- addx6783 add -Inf -0 -> -Infinity
- addx6784 add -Inf 0 -> -Infinity
- addx6785 add -Inf 1 -> -Infinity
- addx6786 add -Inf 1000 -> -Infinity
- addx6787 add -1000 -Inf -> -Infinity
- addx6788 add -Inf -Inf -> -Infinity
- addx6789 add -1 -Inf -> -Infinity
- addx6790 add -0 -Inf -> -Infinity
- addx6791 add 0 -Inf -> -Infinity
- addx6792 add 1 -Inf -> -Infinity
- addx6793 add 1000 -Inf -> -Infinity
- addx6794 add Inf -Inf -> NaN Invalid_operation
- addx6800 add Inf -Inf -> NaN Invalid_operation
- addx6801 add Inf -1000 -> Infinity
- addx6802 add Inf -1 -> Infinity
- addx6803 add Inf -0 -> Infinity
- addx6804 add Inf 0 -> Infinity
- addx6805 add Inf 1 -> Infinity
- addx6806 add Inf 1000 -> Infinity
- addx6807 add Inf Inf -> Infinity
- addx6808 add -1000 Inf -> Infinity
- addx6809 add -Inf Inf -> NaN Invalid_operation
- addx6810 add -1 Inf -> Infinity
- addx6811 add -0 Inf -> Infinity
- addx6812 add 0 Inf -> Infinity
- addx6813 add 1 Inf -> Infinity
- addx6814 add 1000 Inf -> Infinity
- addx6815 add Inf Inf -> Infinity
- addx6821 add NaN -Inf -> NaN
- addx6822 add NaN -1000 -> NaN
- addx6823 add NaN -1 -> NaN
- addx6824 add NaN -0 -> NaN
- addx6825 add NaN 0 -> NaN
- addx6826 add NaN 1 -> NaN
- addx6827 add NaN 1000 -> NaN
- addx6828 add NaN Inf -> NaN
- addx6829 add NaN NaN -> NaN
- addx6830 add -Inf NaN -> NaN
- addx6831 add -1000 NaN -> NaN
- addx6832 add -1 NaN -> NaN
- addx6833 add -0 NaN -> NaN
- addx6834 add 0 NaN -> NaN
- addx6835 add 1 NaN -> NaN
- addx6836 add 1000 NaN -> NaN
- addx6837 add Inf NaN -> NaN
- addx6841 add sNaN -Inf -> NaN Invalid_operation
- addx6842 add sNaN -1000 -> NaN Invalid_operation
- addx6843 add sNaN -1 -> NaN Invalid_operation
- addx6844 add sNaN -0 -> NaN Invalid_operation
- addx6845 add sNaN 0 -> NaN Invalid_operation
- addx6846 add sNaN 1 -> NaN Invalid_operation
- addx6847 add sNaN 1000 -> NaN Invalid_operation
- addx6848 add sNaN NaN -> NaN Invalid_operation
- addx6849 add sNaN sNaN -> NaN Invalid_operation
- addx6850 add NaN sNaN -> NaN Invalid_operation
- addx6851 add -Inf sNaN -> NaN Invalid_operation
- addx6852 add -1000 sNaN -> NaN Invalid_operation
- addx6853 add -1 sNaN -> NaN Invalid_operation
- addx6854 add -0 sNaN -> NaN Invalid_operation
- addx6855 add 0 sNaN -> NaN Invalid_operation
- addx6856 add 1 sNaN -> NaN Invalid_operation
- addx6857 add 1000 sNaN -> NaN Invalid_operation
- addx6858 add Inf sNaN -> NaN Invalid_operation
- addx6859 add NaN sNaN -> NaN Invalid_operation
- -- propagating NaNs
- addx6861 add NaN1 -Inf -> NaN1
- addx6862 add +NaN2 -1000 -> NaN2
- addx6863 add NaN3 1000 -> NaN3
- addx6864 add NaN4 Inf -> NaN4
- addx6865 add NaN5 +NaN6 -> NaN5
- addx6866 add -Inf NaN7 -> NaN7
- addx6867 add -1000 NaN8 -> NaN8
- addx6868 add 1000 NaN9 -> NaN9
- addx6869 add Inf +NaN10 -> NaN10
- addx6871 add sNaN11 -Inf -> NaN11 Invalid_operation
- addx6872 add sNaN12 -1000 -> NaN12 Invalid_operation
- addx6873 add sNaN13 1000 -> NaN13 Invalid_operation
- addx6874 add sNaN14 NaN17 -> NaN14 Invalid_operation
- addx6875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
- addx6876 add NaN16 sNaN19 -> NaN19 Invalid_operation
- addx6877 add -Inf +sNaN20 -> NaN20 Invalid_operation
- addx6878 add -1000 sNaN21 -> NaN21 Invalid_operation
- addx6879 add 1000 sNaN22 -> NaN22 Invalid_operation
- addx6880 add Inf sNaN23 -> NaN23 Invalid_operation
- addx6881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
- addx6882 add -NaN26 NaN28 -> -NaN26
- addx6883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
- addx6884 add 1000 -NaN30 -> -NaN30
- addx6885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
- -- now the case where we can get underflow but the result is normal
- -- [note this can't happen if the operands are also bounded, as we
- -- cannot represent 1E-399, for example]
- addx6571 add 1E-383 0 -> 1E-383
- addx6572 add 1E-384 0 -> 1E-384 Subnormal
- addx6573 add 1E-383 1E-384 -> 1.1E-383
- addx6574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
- -- Here we explore the boundary of rounding a subnormal to Nmin
- addx6575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
- addx6576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
- addx6577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
- addx6578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
- addx6579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
- addx6580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
- -- check overflow edge case
- -- 1234567890123456
- addx6972 apply 9.999999999999999E+384 -> 9.999999999999999E+384
- addx6973 add 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded
- addx6974 add 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded
- addx6975 add 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded
- addx6976 add 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded
- addx6977 add 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded
- addx6978 add 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded
- addx6979 add 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded
- addx6980 add 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded
- addx6981 add 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded
- addx6982 add 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded
- addx6983 add 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded
- addx6984 add 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded
- addx6985 apply -9.999999999999999E+384 -> -9.999999999999999E+384
- addx6986 add -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded
- addx6987 add -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded
- addx6988 add -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded
- addx6989 add -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded
- addx6990 add -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded
- addx6991 add -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded
- addx6992 add -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded
- addx6993 add -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded
- addx6994 add -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded
- addx6995 add -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded
- addx6996 add -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded
- addx6997 add -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded
- -- And for round down full and subnormal results
- rounding: down
- addx61100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
- addx61101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
- addx61103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
- addx61104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
- addx61105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
- addx61106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
- addx61107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
- addx61108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
- addx61109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
- rounding: ceiling
- addx61110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
- addx61111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
- addx61113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
- addx61114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
- addx61115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
- addx61116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
- addx61117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
- addx61118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
- addx61119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
- -- tests based on Gunnar Degnbol's edge case
- rounding: half_even
- addx61300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
- addx61310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded
- addx61311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded
- addx61312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
- addx61313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
- addx61314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
- addx61315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
- addx61316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
- addx61317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
- addx61318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
- addx61319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
- addx61320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
- addx61321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
- addx61322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
- addx61323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
- addx61324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
- addx61325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
- addx61336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
- addx61337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
- addx61338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
- addx61339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
- addx61340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
- addx61341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
- addx61349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
- addx61350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
- addx61351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
- addx61352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
- addx61353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
- addx61354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
- addx61355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
- addx61356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
- addx61357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
- addx61358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
- addx61359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
- addx61360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
- addx61361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
- addx61362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
- addx61363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
- addx61364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
- addx61365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
- addx61376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
- addx61377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
- addx61378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
- addx61379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
- addx61380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
- addx61381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
- addx61382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx61383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx61384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx61385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx61386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx61387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx61388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
- addx61389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
- addx61390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
- addx61391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
- addx61392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
- addx61393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
- addx61394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
- addx61395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
- addx61396 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
- addx61420 add 0 1.123456789012345 -> 1.123456789012345
- addx61421 add 0 1.123456789012345E-1 -> 0.1123456789012345
- addx61422 add 0 1.123456789012345E-2 -> 0.01123456789012345
- addx61423 add 0 1.123456789012345E-3 -> 0.001123456789012345
- addx61424 add 0 1.123456789012345E-4 -> 0.0001123456789012345
- addx61425 add 0 1.123456789012345E-5 -> 0.00001123456789012345
- addx61426 add 0 1.123456789012345E-6 -> 0.000001123456789012345
- addx61427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7
- addx61428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8
- addx61429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9
- addx61430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10
- addx61431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11
- addx61432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12
- addx61433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13
- addx61434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14
- addx61435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15
- addx61436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16
- addx61437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17
- addx61438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18
- addx61439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19
- -- same, reversed 0
- addx61440 add 1.123456789012345 0 -> 1.123456789012345
- addx61441 add 1.123456789012345E-1 0 -> 0.1123456789012345
- addx61442 add 1.123456789012345E-2 0 -> 0.01123456789012345
- addx61443 add 1.123456789012345E-3 0 -> 0.001123456789012345
- addx61444 add 1.123456789012345E-4 0 -> 0.0001123456789012345
- addx61445 add 1.123456789012345E-5 0 -> 0.00001123456789012345
- addx61446 add 1.123456789012345E-6 0 -> 0.000001123456789012345
- addx61447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7
- addx61448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8
- addx61449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9
- addx61450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10
- addx61451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11
- addx61452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12
- addx61453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13
- addx61454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14
- addx61455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15
- addx61456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16
- addx61457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17
- addx61458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18
- addx61459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19
- -- same, Es on the 0
- addx61460 add 1.123456789012345 0E-0 -> 1.123456789012345
- addx61461 add 1.123456789012345 0E-1 -> 1.123456789012345
- addx61462 add 1.123456789012345 0E-2 -> 1.123456789012345
- addx61463 add 1.123456789012345 0E-3 -> 1.123456789012345
- addx61464 add 1.123456789012345 0E-4 -> 1.123456789012345
- addx61465 add 1.123456789012345 0E-5 -> 1.123456789012345
- addx61466 add 1.123456789012345 0E-6 -> 1.123456789012345
- addx61467 add 1.123456789012345 0E-7 -> 1.123456789012345
- addx61468 add 1.123456789012345 0E-8 -> 1.123456789012345
- addx61469 add 1.123456789012345 0E-9 -> 1.123456789012345
- addx61470 add 1.123456789012345 0E-10 -> 1.123456789012345
- addx61471 add 1.123456789012345 0E-11 -> 1.123456789012345
- addx61472 add 1.123456789012345 0E-12 -> 1.123456789012345
- addx61473 add 1.123456789012345 0E-13 -> 1.123456789012345
- addx61474 add 1.123456789012345 0E-14 -> 1.123456789012345
- addx61475 add 1.123456789012345 0E-15 -> 1.123456789012345
- -- next four flag Rounded because the 0 extends the result
- addx61476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
- addx61477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
- addx61478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
- addx61479 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
- addx61500 add 0 0E-19 -> 0E-19
- addx61501 add -0 0E-19 -> 0E-19
- addx61502 add 0 -0E-19 -> 0E-19
- addx61503 add -0 -0E-19 -> -0E-19
- addx61504 add 0E-400 0E-19 -> 0E-398 Clamped
- addx61505 add -0E-400 0E-19 -> 0E-398 Clamped
- addx61506 add 0E-400 -0E-19 -> 0E-398 Clamped
- addx61507 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx61511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- -- some exact zeros from non-zeros
- addx61515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61516 add -1E-401 1E-401 -> 0E-398 Clamped
- addx61517 add 1E-401 -1E-401 -> 0E-398 Clamped
- addx61518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- rounding: half_down
- -- exact zeros from zeros
- addx61520 add 0 0E-19 -> 0E-19
- addx61521 add -0 0E-19 -> 0E-19
- addx61522 add 0 -0E-19 -> 0E-19
- addx61523 add -0 -0E-19 -> -0E-19
- addx61524 add 0E-400 0E-19 -> 0E-398 Clamped
- addx61525 add -0E-400 0E-19 -> 0E-398 Clamped
- addx61526 add 0E-400 -0E-19 -> 0E-398 Clamped
- addx61527 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx61531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- -- some exact zeros from non-zeros
- addx61535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61536 add -1E-401 1E-401 -> 0E-398 Clamped
- addx61537 add 1E-401 -1E-401 -> 0E-398 Clamped
- addx61538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- rounding: half_even
- -- exact zeros from zeros
- addx61540 add 0 0E-19 -> 0E-19
- addx61541 add -0 0E-19 -> 0E-19
- addx61542 add 0 -0E-19 -> 0E-19
- addx61543 add -0 -0E-19 -> -0E-19
- addx61544 add 0E-400 0E-19 -> 0E-398 Clamped
- addx61545 add -0E-400 0E-19 -> 0E-398 Clamped
- addx61546 add 0E-400 -0E-19 -> 0E-398 Clamped
- addx61547 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx61551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- -- some exact zeros from non-zeros
- addx61555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61556 add -1E-401 1E-401 -> 0E-398 Clamped
- addx61557 add 1E-401 -1E-401 -> 0E-398 Clamped
- addx61558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- rounding: up
- -- exact zeros from zeros
- addx61560 add 0 0E-19 -> 0E-19
- addx61561 add -0 0E-19 -> 0E-19
- addx61562 add 0 -0E-19 -> 0E-19
- addx61563 add -0 -0E-19 -> -0E-19
- addx61564 add 0E-400 0E-19 -> 0E-398 Clamped
- addx61565 add -0E-400 0E-19 -> 0E-398 Clamped
- addx61566 add 0E-400 -0E-19 -> 0E-398 Clamped
- addx61567 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx61571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
- addx61572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
- addx61573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
- addx61574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
- -- some exact zeros from non-zeros
- addx61575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
- addx61576 add -1E-401 1E-401 -> 0E-398 Clamped
- addx61577 add 1E-401 -1E-401 -> 0E-398 Clamped
- addx61578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
- rounding: down
- -- exact zeros from zeros
- addx61580 add 0 0E-19 -> 0E-19
- addx61581 add -0 0E-19 -> 0E-19
- addx61582 add 0 -0E-19 -> 0E-19
- addx61583 add -0 -0E-19 -> -0E-19
- addx61584 add 0E-400 0E-19 -> 0E-398 Clamped
- addx61585 add -0E-400 0E-19 -> 0E-398 Clamped
- addx61586 add 0E-400 -0E-19 -> 0E-398 Clamped
- addx61587 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx61591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- -- some exact zeros from non-zeros
- addx61595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61596 add -1E-401 1E-401 -> 0E-398 Clamped
- addx61597 add 1E-401 -1E-401 -> 0E-398 Clamped
- addx61598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- rounding: ceiling
- -- exact zeros from zeros
- addx61600 add 0 0E-19 -> 0E-19
- addx61601 add -0 0E-19 -> 0E-19
- addx61602 add 0 -0E-19 -> 0E-19
- addx61603 add -0 -0E-19 -> -0E-19
- addx61604 add 0E-400 0E-19 -> 0E-398 Clamped
- addx61605 add -0E-400 0E-19 -> 0E-398 Clamped
- addx61606 add 0E-400 -0E-19 -> 0E-398 Clamped
- addx61607 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx61611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
- addx61612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
- addx61613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- -- some exact zeros from non-zeros
- addx61615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
- addx61616 add -1E-401 1E-401 -> 0E-398 Clamped
- addx61617 add 1E-401 -1E-401 -> 0E-398 Clamped
- addx61618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
- -- and the extra-special ugly case; unusual minuses marked by -- *
- rounding: floor
- -- exact zeros from zeros
- addx61620 add 0 0E-19 -> 0E-19
- addx61621 add -0 0E-19 -> -0E-19 -- *
- addx61622 add 0 -0E-19 -> -0E-19 -- *
- addx61623 add -0 -0E-19 -> -0E-19
- addx61624 add 0E-400 0E-19 -> 0E-398 Clamped
- addx61625 add -0E-400 0E-19 -> -0E-398 Clamped -- *
- addx61626 add 0E-400 -0E-19 -> -0E-398 Clamped -- *
- addx61627 add -0E-400 -0E-19 -> -0E-398 Clamped
- -- inexact zeros
- addx61631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
- addx61634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
- -- some exact zeros from non-zeros
- addx61635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
- addx61636 add -1E-401 1E-401 -> -0E-398 Clamped -- *
- addx61637 add 1E-401 -1E-401 -> -0E-398 Clamped -- *
- addx61638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
- -- Examples from SQL proposal (Krishna Kulkarni)
- addx61701 add 130E-2 120E-2 -> 2.50
- addx61702 add 130E-2 12E-1 -> 2.50
- addx61703 add 130E-2 1E0 -> 2.30
- addx61704 add 1E2 1E4 -> 1.01E+4
- addx61705 subtract 130E-2 120E-2 -> 0.10
- addx61706 subtract 130E-2 12E-1 -> 0.10
- addx61707 subtract 130E-2 1E0 -> 0.30
- addx61708 subtract 1E2 1E4 -> -9.9E+3
- -- Gappy coefficients; check residue handling even with full coefficient gap
- rounding: half_even
- addx62001 add 1234567890123456 1 -> 1234567890123457
- addx62002 add 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded
- addx62003 add 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded
- addx62004 add 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded
- addx62005 add 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded
- addx62006 add 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded
- addx62007 add 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded
- addx62008 add 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded
- addx62009 add 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded
- addx62010 add 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded
- addx62011 add 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded
- addx62012 add 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded
- addx62013 add 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded
- addx62014 add 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded
- addx62015 add 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded
- addx62016 add 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded
- addx62017 add 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded
- addx62018 add 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded
- addx62019 add 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded
- addx62020 add 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded
- addx62021 add 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded
- -- widening second argument at gap
- addx62030 add 12345678 1 -> 12345679
- addx62031 add 12345678 0.1 -> 12345678.1
- addx62032 add 12345678 0.12 -> 12345678.12
- addx62033 add 12345678 0.123 -> 12345678.123
- addx62034 add 12345678 0.1234 -> 12345678.1234
- addx62035 add 12345678 0.12345 -> 12345678.12345
- addx62036 add 12345678 0.123456 -> 12345678.123456
- addx62037 add 12345678 0.1234567 -> 12345678.1234567
- addx62038 add 12345678 0.12345678 -> 12345678.12345678
- addx62039 add 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded
- addx62040 add 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded
- addx62041 add 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded
- addx62042 add 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded
- addx62043 add 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded
- addx62044 add 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded
- addx62045 add 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded
- addx62046 add 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded
- addx62047 add 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded
- addx62048 add 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded
- addx62049 add 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded
- -- 90123456
- rounding: half_even
- addx62050 add 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded
- addx62051 add 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded
- addx62052 add 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded
- addx62053 add 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded
- addx62054 add 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded
- addx62055 add 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded
- addx62056 add 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded
- addx62057 add 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded
- addx62060 add 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded
- addx62061 add 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded
- addx62062 add 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded
- addx62063 add 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded
- addx62064 add 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded
- addx62065 add 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded
- addx62066 add 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded
- addx62067 add 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded
- -- far-out residues (full coefficient gap is 16+15 digits)
- rounding: up
- addx62070 add 12345678 1E-8 -> 12345678.00000001
- addx62071 add 12345678 1E-9 -> 12345678.00000001 Inexact Rounded
- addx62072 add 12345678 1E-10 -> 12345678.00000001 Inexact Rounded
- addx62073 add 12345678 1E-11 -> 12345678.00000001 Inexact Rounded
- addx62074 add 12345678 1E-12 -> 12345678.00000001 Inexact Rounded
- addx62075 add 12345678 1E-13 -> 12345678.00000001 Inexact Rounded
- addx62076 add 12345678 1E-14 -> 12345678.00000001 Inexact Rounded
- addx62077 add 12345678 1E-15 -> 12345678.00000001 Inexact Rounded
- addx62078 add 12345678 1E-16 -> 12345678.00000001 Inexact Rounded
- addx62079 add 12345678 1E-17 -> 12345678.00000001 Inexact Rounded
- addx62080 add 12345678 1E-18 -> 12345678.00000001 Inexact Rounded
- addx62081 add 12345678 1E-19 -> 12345678.00000001 Inexact Rounded
- addx62082 add 12345678 1E-20 -> 12345678.00000001 Inexact Rounded
- addx62083 add 12345678 1E-25 -> 12345678.00000001 Inexact Rounded
- addx62084 add 12345678 1E-30 -> 12345678.00000001 Inexact Rounded
- addx62085 add 12345678 1E-31 -> 12345678.00000001 Inexact Rounded
- addx62086 add 12345678 1E-32 -> 12345678.00000001 Inexact Rounded
- addx62087 add 12345678 1E-33 -> 12345678.00000001 Inexact Rounded
- addx62088 add 12345678 1E-34 -> 12345678.00000001 Inexact Rounded
- addx62089 add 12345678 1E-35 -> 12345678.00000001 Inexact Rounded
- -- payload decapitate
- precision: 5
- addx62100 add 11 sNaN123456789 -> NaN56789 Invalid_operation
- addx62101 add -11 -sNaN123456789 -> -NaN56789 Invalid_operation
- addx62102 add 11 NaN123456789 -> NaN56789
- addx62103 add -11 -NaN123456789 -> -NaN56789
- -- Null tests
- addx9990 add 10 # -> NaN Invalid_operation
- addx9991 add # 10 -> NaN Invalid_operation
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