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- ------------------------------------------------------------------------
- -- add.decTest -- decimal addition --
- -- Copyright (c) IBM Corporation, 1981, 2004. 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: 2.39
-
- 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'
-
- -- 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
-
- -- 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...
- 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 Emin
- 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
- addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow
- addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow
-
- 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 Emin
- 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
- addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
- addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
-
- -- 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
- 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
-
- -- 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
-
- 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
- addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow
- addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
-
- 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
- addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
- addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow
- addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
-
- addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow
- addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow
-
-
- -- Null tests
- addx9990 add 10 # -> NaN Invalid_operation
- addx9991 add # 10 -> NaN Invalid_operation
-