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cpython/Lib/test/decimaltestdata/add.decTest

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------/cancell----------------------------------------------------------
-- add.decTest -- decimal addition --
-- Copyright (c) IBM Corporation, 1981, 2007. All rights reserved. --
------------------------------------------------------------------------
-- Please see the document "General Decimal Arithmetic Testcases" --
-- at http://www2.hursley.ibm.com/decimal for the description of --
-- these testcases. --
-- --
-- These testcases are experimental ('beta' versions), and they --
-- may contain errors. They are offered on an as-is basis. In --
-- particular, achieving the same results as the tests here is not --
-- a guarantee that an implementation complies with any Standard --
-- or specification. The tests are not exhaustive. --
-- --
-- Please send comments, suggestions, and corrections to the author: --
-- Mike Cowlishaw, IBM Fellow --
-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
-- mfc@uk.ibm.com --
------------------------------------------------------------------------
version: 2.57
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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