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v0.5.1
v0.5.1
https://github.com/python/cpython
Tip revision: 15f611845b15ce8787e0b2399f2ecd686fe46f52 authored by cvs2svn on 02 September 2004, 16:38:20 UTC
This commit was manufactured by cvs2svn to create tag 'r24a3'.
This commit was manufactured by cvs2svn to create tag 'r24a3'.
Tip revision: 15f6118
add.decTest
------------------------------------------------------------------------
-- add.decTest -- decimal addition --
-- Copyright (c) IBM Corporation, 1981, 2004. All rights reserved. --
------------------------------------------------------------------------
-- Please see the document "General Decimal Arithmetic Testcases" --
-- at http://www2.hursley.ibm.com/decimal for the description of --
-- these testcases. --
-- --
-- These testcases are experimental ('beta' versions), and they --
-- may contain errors. They are offered on an as-is basis. In --
-- particular, achieving the same results as the tests here is not --
-- a guarantee that an implementation complies with any Standard --
-- or specification. The tests are not exhaustive. --
-- --
-- Please send comments, suggestions, and corrections to the author: --
-- Mike Cowlishaw, IBM Fellow --
-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
-- mfc@uk.ibm.com --
------------------------------------------------------------------------
version: 2.39
precision: 9
rounding: half_up
maxExponent: 384
minexponent: -383
extended: 1
-- [first group are 'quick confidence check']
addx001 add 1 1 -> 2
addx002 add 2 3 -> 5
addx003 add '5.75' '3.3' -> 9.05
addx004 add '5' '-3' -> 2
addx005 add '-5' '-3' -> -8
addx006 add '-7' '2.5' -> -4.5
addx007 add '0.7' '0.3' -> 1.0
addx008 add '1.25' '1.25' -> 2.50
addx009 add '1.23456789' '1.00000000' -> '2.23456789'
addx010 add '1.23456789' '1.00000011' -> '2.23456800'
addx011 add '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded
addx012 add '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded
addx013 add '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded
addx014 add '0.44444444449' '0' -> '0.444444444' Inexact Rounded
addx015 add '0.444444444499' '0' -> '0.444444444' Inexact Rounded
addx016 add '0.4444444444999' '0' -> '0.444444444' Inexact Rounded
addx017 add '0.4444444445000' '0' -> '0.444444445' Inexact Rounded
addx018 add '0.4444444445001' '0' -> '0.444444445' Inexact Rounded
addx019 add '0.444444444501' '0' -> '0.444444445' Inexact Rounded
addx020 add '0.44444444451' '0' -> '0.444444445' Inexact Rounded
addx021 add 0 1 -> 1
addx022 add 1 1 -> 2
addx023 add 2 1 -> 3
addx024 add 3 1 -> 4
addx025 add 4 1 -> 5
addx026 add 5 1 -> 6
addx027 add 6 1 -> 7
addx028 add 7 1 -> 8
addx029 add 8 1 -> 9
addx030 add 9 1 -> 10
-- some carrying effects
addx031 add '0.9998' '0.0000' -> '0.9998'
addx032 add '0.9998' '0.0001' -> '0.9999'
addx033 add '0.9998' '0.0002' -> '1.0000'
addx034 add '0.9998' '0.0003' -> '1.0001'
addx035 add '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded
addx036 add '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded
addx037 add '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded
addx038 add '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded
addx039 add '700000' '10000e+9' -> '1.00000007E+13' Rounded
-- symmetry:
addx040 add '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded
addx041 add '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded
addx042 add '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded
addx044 add '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded
addx045 add '10000e+9' '700000' -> '1.00000007E+13' Rounded
-- same, higher precision
precision: 15
addx046 add '10000e+9' '7' -> '10000000000007'
addx047 add '10000e+9' '70' -> '10000000000070'
addx048 add '10000e+9' '700' -> '10000000000700'
addx049 add '10000e+9' '7000' -> '10000000007000'
addx050 add '10000e+9' '70000' -> '10000000070000'
addx051 add '10000e+9' '700000' -> '10000000700000'
-- examples from decarith
addx053 add '12' '7.00' -> '19.00'
addx054 add '1.3' '-1.07' -> '0.23'
addx055 add '1.3' '-1.30' -> '0.00'
addx056 add '1.3' '-2.07' -> '-0.77'
addx057 add '1E+2' '1E+4' -> '1.01E+4'
-- zero preservation
precision: 6
addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded
addx061 add 1 '0.0001' -> '1.0001'
addx062 add 1 '0.00001' -> '1.00001'
addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded
addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded
addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded
-- some funny zeros [in case of bad signum]
addx070 add 1 0 -> 1
addx071 add 1 0. -> 1
addx072 add 1 .0 -> 1.0
addx073 add 1 0.0 -> 1.0
addx074 add 1 0.00 -> 1.00
addx075 add 0 1 -> 1
addx076 add 0. 1 -> 1
addx077 add .0 1 -> 1.0
addx078 add 0.0 1 -> 1.0
addx079 add 0.00 1 -> 1.00
precision: 9
-- some carries
addx080 add 999999998 1 -> 999999999
addx081 add 999999999 1 -> 1.00000000E+9 Rounded
addx082 add 99999999 1 -> 100000000
addx083 add 9999999 1 -> 10000000
addx084 add 999999 1 -> 1000000
addx085 add 99999 1 -> 100000
addx086 add 9999 1 -> 10000
addx087 add 999 1 -> 1000
addx088 add 99 1 -> 100
addx089 add 9 1 -> 10
-- more LHS swaps
addx090 add '-56267E-10' 0 -> '-0.0000056267'
addx091 add '-56267E-6' 0 -> '-0.056267'
addx092 add '-56267E-5' 0 -> '-0.56267'
addx093 add '-56267E-4' 0 -> '-5.6267'
addx094 add '-56267E-3' 0 -> '-56.267'
addx095 add '-56267E-2' 0 -> '-562.67'
addx096 add '-56267E-1' 0 -> '-5626.7'
addx097 add '-56267E-0' 0 -> '-56267'
addx098 add '-5E-10' 0 -> '-5E-10'
addx099 add '-5E-7' 0 -> '-5E-7'
addx100 add '-5E-6' 0 -> '-0.000005'
addx101 add '-5E-5' 0 -> '-0.00005'
addx102 add '-5E-4' 0 -> '-0.0005'
addx103 add '-5E-1' 0 -> '-0.5'
addx104 add '-5E0' 0 -> '-5'
addx105 add '-5E1' 0 -> '-50'
addx106 add '-5E5' 0 -> '-500000'
addx107 add '-5E8' 0 -> '-500000000'
addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded
addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded
addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded
addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded
-- more RHS swaps
addx113 add 0 '-56267E-10' -> '-0.0000056267'
addx114 add 0 '-56267E-6' -> '-0.056267'
addx116 add 0 '-56267E-5' -> '-0.56267'
addx117 add 0 '-56267E-4' -> '-5.6267'
addx119 add 0 '-56267E-3' -> '-56.267'
addx120 add 0 '-56267E-2' -> '-562.67'
addx121 add 0 '-56267E-1' -> '-5626.7'
addx122 add 0 '-56267E-0' -> '-56267'
addx123 add 0 '-5E-10' -> '-5E-10'
addx124 add 0 '-5E-7' -> '-5E-7'
addx125 add 0 '-5E-6' -> '-0.000005'
addx126 add 0 '-5E-5' -> '-0.00005'
addx127 add 0 '-5E-4' -> '-0.0005'
addx128 add 0 '-5E-1' -> '-0.5'
addx129 add 0 '-5E0' -> '-5'
addx130 add 0 '-5E1' -> '-50'
addx131 add 0 '-5E5' -> '-500000'
addx132 add 0 '-5E8' -> '-500000000'
addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded
addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded
addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded
addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded
-- related
addx137 add 1 '0E-12' -> '1.00000000' Rounded
addx138 add -1 '0E-12' -> '-1.00000000' Rounded
addx139 add '0E-12' 1 -> '1.00000000' Rounded
addx140 add '0E-12' -1 -> '-1.00000000' Rounded
addx141 add 1E+4 0.0000 -> '10000.0000'
addx142 add 1E+4 0.00000 -> '10000.0000' Rounded
addx143 add 0.000 1E+5 -> '100000.000'
addx144 add 0.0000 1E+5 -> '100000.000' Rounded
-- [some of the next group are really constructor tests]
addx146 add '00.0' 0 -> '0.0'
addx147 add '0.00' 0 -> '0.00'
addx148 add 0 '0.00' -> '0.00'
addx149 add 0 '00.0' -> '0.0'
addx150 add '00.0' '0.00' -> '0.00'
addx151 add '0.00' '00.0' -> '0.00'
addx152 add '3' '.3' -> '3.3'
addx153 add '3.' '.3' -> '3.3'
addx154 add '3.0' '.3' -> '3.3'
addx155 add '3.00' '.3' -> '3.30'
addx156 add '3' '3' -> '6'
addx157 add '3' '+3' -> '6'
addx158 add '3' '-3' -> '0'
addx159 add '0.3' '-0.3' -> '0.0'
addx160 add '0.03' '-0.03' -> '0.00'
-- try borderline precision, with carries, etc.
precision: 15
addx161 add '1E+12' '-1' -> '999999999999'
addx162 add '1E+12' '1.11' -> '1000000000001.11'
addx163 add '1.11' '1E+12' -> '1000000000001.11'
addx164 add '-1' '1E+12' -> '999999999999'
addx165 add '7E+12' '-1' -> '6999999999999'
addx166 add '7E+12' '1.11' -> '7000000000001.11'
addx167 add '1.11' '7E+12' -> '7000000000001.11'
addx168 add '-1' '7E+12' -> '6999999999999'
-- 123456789012345 123456789012345 1 23456789012345
addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded
addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded
addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded
addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded
addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded
addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded
addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded
addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded
addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999'
addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998'
addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997'
addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996'
addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995'
addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994'
-- and some more, including residue effects and different roundings
precision: 9
rounding: half_up
addx200 add '123456789' 0 -> '123456789'
addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded
addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded
addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded
addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded
addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded
addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded
addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded
addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded
addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded
addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded
addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded
addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
addx216 add '123456789' 1 -> '123456790'
addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded
addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded
addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded
rounding: half_even
addx220 add '123456789' 0 -> '123456789'
addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded
addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded
addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded
addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded
addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded
addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded
addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded
addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded
addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded
addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded
addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded
addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded
addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded
addx236 add '123456789' 1 -> '123456790'
addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded
addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded
-- critical few with even bottom digit...
addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded
addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded
addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded
rounding: down
addx250 add '123456789' 0 -> '123456789'
addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded
addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded
addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded
addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded
addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded
addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded
addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded
addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded
addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded
addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded
addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded
addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded
addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded
addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded
addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded
addx266 add '123456789' 1 -> '123456790'
addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded
addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded
addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded
-- input preparation tests (operands should not be rounded)
precision: 3
rounding: half_up
addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded
addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded
addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded
addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded
addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded
addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded
addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded
addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded
addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded
addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded
addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
rounding: half_down
addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded
addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded
addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded
addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded
addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded
-- 1 in last place tests
rounding: half_up
addx301 add -1 1 -> 0
addx302 add 0 1 -> 1
addx303 add 1 1 -> 2
addx304 add 12 1 -> 13
addx305 add 98 1 -> 99
addx306 add 99 1 -> 100
addx307 add 100 1 -> 101
addx308 add 101 1 -> 102
addx309 add -1 -1 -> -2
addx310 add 0 -1 -> -1
addx311 add 1 -1 -> 0
addx312 add 12 -1 -> 11
addx313 add 98 -1 -> 97
addx314 add 99 -1 -> 98
addx315 add 100 -1 -> 99
addx316 add 101 -1 -> 100
addx321 add -0.01 0.01 -> 0.00
addx322 add 0.00 0.01 -> 0.01
addx323 add 0.01 0.01 -> 0.02
addx324 add 0.12 0.01 -> 0.13
addx325 add 0.98 0.01 -> 0.99
addx326 add 0.99 0.01 -> 1.00
addx327 add 1.00 0.01 -> 1.01
addx328 add 1.01 0.01 -> 1.02
addx329 add -0.01 -0.01 -> -0.02
addx330 add 0.00 -0.01 -> -0.01
addx331 add 0.01 -0.01 -> 0.00
addx332 add 0.12 -0.01 -> 0.11
addx333 add 0.98 -0.01 -> 0.97
addx334 add 0.99 -0.01 -> 0.98
addx335 add 1.00 -0.01 -> 0.99
addx336 add 1.01 -0.01 -> 1.00
-- some more cases where adding 0 affects the coefficient
precision: 9
addx340 add 1E+3 0 -> 1000
addx341 add 1E+8 0 -> 100000000
addx342 add 1E+9 0 -> 1.00000000E+9 Rounded
addx343 add 1E+10 0 -> 1.00000000E+10 Rounded
-- which simply follow from these cases ...
addx344 add 1E+3 1 -> 1001
addx345 add 1E+8 1 -> 100000001
addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded
addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded
addx348 add 1E+3 7 -> 1007
addx349 add 1E+8 7 -> 100000007
addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded
addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded
-- tryzeros cases
precision: 7
rounding: half_up
maxExponent: 92
minexponent: -92
addx361 add 0E+50 10000E+1 -> 1.0000E+5
addx362 add 10000E+1 0E-50 -> 100000.0 Rounded
addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact
-- a curiosity from JSR 13 testing
rounding: half_down
precision: 10
addx370 add 99999999 81512 -> 100081511
precision: 6
addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
rounding: half_up
precision: 10
addx372 add 99999999 81512 -> 100081511
precision: 6
addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
rounding: half_even
precision: 10
addx374 add 99999999 81512 -> 100081511
precision: 6
addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact
-- ulp replacement tests
precision: 9
maxexponent: 999999999
minexponent: -999999999
addx400 add 1 77e-7 -> 1.0000077
addx401 add 1 77e-8 -> 1.00000077
addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded
addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded
addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded
addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded
addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded
addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded
addx410 add 10 77e-7 -> 10.0000077
addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded
addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded
addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded
addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded
addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded
addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded
addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded
addx420 add 77e-7 1 -> 1.0000077
addx421 add 77e-8 1 -> 1.00000077
addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded
addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded
addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded
addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded
addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded
addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded
addx430 add 77e-7 10 -> 10.0000077
addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded
addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded
addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded
addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded
addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded
addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded
addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded
-- negative ulps
addx440 add 1 -77e-7 -> 0.9999923
addx441 add 1 -77e-8 -> 0.99999923
addx442 add 1 -77e-9 -> 0.999999923
addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded
addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded
addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded
addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded
addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded
addx450 add 10 -77e-7 -> 9.9999923
addx451 add 10 -77e-8 -> 9.99999923
addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded
addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded
addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded
addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded
addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded
addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded
addx460 add -77e-7 1 -> 0.9999923
addx461 add -77e-8 1 -> 0.99999923
addx462 add -77e-9 1 -> 0.999999923
addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded
addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded
addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded
addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded
addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded
addx470 add -77e-7 10 -> 9.9999923
addx471 add -77e-8 10 -> 9.99999923
addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded
addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded
addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded
addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded
addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded
addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded
-- negative ulps
addx480 add -1 77e-7 -> -0.9999923
addx481 add -1 77e-8 -> -0.99999923
addx482 add -1 77e-9 -> -0.999999923
addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded
addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded
addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded
addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded
addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded
addx490 add -10 77e-7 -> -9.9999923
addx491 add -10 77e-8 -> -9.99999923
addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded
addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded
addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded
addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded
addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded
addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded
addx500 add 77e-7 -1 -> -0.9999923
addx501 add 77e-8 -1 -> -0.99999923
addx502 add 77e-9 -1 -> -0.999999923
addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded
addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded
addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded
addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded
addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded
addx510 add 77e-7 -10 -> -9.9999923
addx511 add 77e-8 -10 -> -9.99999923
addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded
addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded
addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded
addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded
addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded
addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded
-- long operands
maxexponent: 999
minexponent: -999
precision: 9
addx521 add 12345678000 0 -> 1.23456780E+10 Rounded
addx522 add 0 12345678000 -> 1.23456780E+10 Rounded
addx523 add 1234567800 0 -> 1.23456780E+9 Rounded
addx524 add 0 1234567800 -> 1.23456780E+9 Rounded
addx525 add 1234567890 0 -> 1.23456789E+9 Rounded
addx526 add 0 1234567890 -> 1.23456789E+9 Rounded
addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded
addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded
addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded
addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded
addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded
addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded
precision: 15
-- still checking
addx541 add 12345678000 0 -> 12345678000
addx542 add 0 12345678000 -> 12345678000
addx543 add 1234567800 0 -> 1234567800
addx544 add 0 1234567800 -> 1234567800
addx545 add 1234567890 0 -> 1234567890
addx546 add 0 1234567890 -> 1234567890
addx547 add 1234567891 0 -> 1234567891
addx548 add 0 1234567891 -> 1234567891
addx549 add 12345678901 0 -> 12345678901
addx550 add 0 12345678901 -> 12345678901
addx551 add 1234567896 0 -> 1234567896
addx552 add 0 1234567896 -> 1234567896
-- verify a query
precision: 16
maxExponent: +394
minExponent: -393
rounding: down
addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
-- and using decimal64 bounds...
precision: 16
maxExponent: +384
minExponent: -383
rounding: down
addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
-- some more residue effects with extreme rounding
precision: 9
rounding: half_up
addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded
rounding: half_even
addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded
rounding: half_down
addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded
rounding: floor
addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded
rounding: ceiling
addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded
rounding: up
addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded
rounding: down
addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded
rounding: half_up
addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded
rounding: half_even
addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded
rounding: half_down
addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded
rounding: floor
addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded
rounding: ceiling
addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded
rounding: up
addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded
rounding: down
addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded
rounding: half_up
addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded
rounding: half_even
addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded
rounding: half_down
addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded
rounding: floor
addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded
rounding: ceiling
addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded
rounding: up
addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded
rounding: down
addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded
rounding: half_up
addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded
rounding: half_even
addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded
rounding: half_down
addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded
rounding: floor
addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded
rounding: ceiling
addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded
rounding: up
addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded
rounding: down
addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded
rounding: half_up
addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded
rounding: half_even
addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded
rounding: half_down
addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded
rounding: floor
addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded
rounding: ceiling
addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded
rounding: up
addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded
rounding: down
addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded
rounding: half_up
addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded
rounding: half_even
addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded
rounding: half_down
addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded
rounding: floor
addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded
rounding: ceiling
addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded
rounding: up
addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded
rounding: down
addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded
-- long operand triangle
rounding: half_up
precision: 37
addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538
precision: 36
addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded
precision: 35
addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded
precision: 34
addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded
precision: 33
addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded
precision: 32
addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded
precision: 31
addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded
precision: 30
addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded
precision: 29
addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded
precision: 28
addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded
precision: 27
addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded
precision: 26
addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded
precision: 25
addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded
precision: 24
addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded
precision: 23
addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded
precision: 22
addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded
precision: 21
addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded
precision: 20
addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded
precision: 19
addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded
precision: 18
addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded
precision: 17
addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded
precision: 16
addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded
precision: 15
addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded
precision: 14
addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded
precision: 13
addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded
precision: 12
addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded
precision: 11
addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded
precision: 10
addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded
precision: 9
addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded
precision: 8
addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded
precision: 7
addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded
precision: 6
addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded
precision: 5
addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded
precision: 4
addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded
precision: 3
addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded
precision: 2
addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded
precision: 1
addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded
-- more zeros, etc.
rounding: half_up
precision: 9
addx701 add 5.00 1.00E-3 -> 5.00100
addx702 add 00.00 0.000 -> 0.000
addx703 add 00.00 0E-3 -> 0.000
addx704 add 0E-3 00.00 -> 0.000
addx710 add 0E+3 00.00 -> 0.00
addx711 add 0E+3 00.0 -> 0.0
addx712 add 0E+3 00. -> 0
addx713 add 0E+3 00.E+1 -> 0E+1
addx714 add 0E+3 00.E+2 -> 0E+2
addx715 add 0E+3 00.E+3 -> 0E+3
addx716 add 0E+3 00.E+4 -> 0E+3
addx717 add 0E+3 00.E+5 -> 0E+3
addx718 add 0E+3 -00.0 -> 0.0
addx719 add 0E+3 -00. -> 0
addx731 add 0E+3 -00.E+1 -> 0E+1
addx720 add 00.00 0E+3 -> 0.00
addx721 add 00.0 0E+3 -> 0.0
addx722 add 00. 0E+3 -> 0
addx723 add 00.E+1 0E+3 -> 0E+1
addx724 add 00.E+2 0E+3 -> 0E+2
addx725 add 00.E+3 0E+3 -> 0E+3
addx726 add 00.E+4 0E+3 -> 0E+3
addx727 add 00.E+5 0E+3 -> 0E+3
addx728 add -00.00 0E+3 -> 0.00
addx729 add -00.0 0E+3 -> 0.0
addx730 add -00. 0E+3 -> 0
addx732 add 0 0 -> 0
addx733 add 0 -0 -> 0
addx734 add -0 0 -> 0
addx735 add -0 -0 -> -0 -- IEEE 854 special case
addx736 add 1 -1 -> 0
addx737 add -1 -1 -> -2
addx738 add 1 1 -> 2
addx739 add -1 1 -> 0
addx741 add 0 -1 -> -1
addx742 add -0 -1 -> -1
addx743 add 0 1 -> 1
addx744 add -0 1 -> 1
addx745 add -1 0 -> -1
addx746 add -1 -0 -> -1
addx747 add 1 0 -> 1
addx748 add 1 -0 -> 1
addx751 add 0.0 -1 -> -1.0
addx752 add -0.0 -1 -> -1.0
addx753 add 0.0 1 -> 1.0
addx754 add -0.0 1 -> 1.0
addx755 add -1.0 0 -> -1.0
addx756 add -1.0 -0 -> -1.0
addx757 add 1.0 0 -> 1.0
addx758 add 1.0 -0 -> 1.0
addx761 add 0 -1.0 -> -1.0
addx762 add -0 -1.0 -> -1.0
addx763 add 0 1.0 -> 1.0
addx764 add -0 1.0 -> 1.0
addx765 add -1 0.0 -> -1.0
addx766 add -1 -0.0 -> -1.0
addx767 add 1 0.0 -> 1.0
addx768 add 1 -0.0 -> 1.0
addx771 add 0.0 -1.0 -> -1.0
addx772 add -0.0 -1.0 -> -1.0
addx773 add 0.0 1.0 -> 1.0
addx774 add -0.0 1.0 -> 1.0
addx775 add -1.0 0.0 -> -1.0
addx776 add -1.0 -0.0 -> -1.0
addx777 add 1.0 0.0 -> 1.0
addx778 add 1.0 -0.0 -> 1.0
-- Specials
addx780 add -Inf -Inf -> -Infinity
addx781 add -Inf -1000 -> -Infinity
addx782 add -Inf -1 -> -Infinity
addx783 add -Inf -0 -> -Infinity
addx784 add -Inf 0 -> -Infinity
addx785 add -Inf 1 -> -Infinity
addx786 add -Inf 1000 -> -Infinity
addx787 add -1000 -Inf -> -Infinity
addx788 add -Inf -Inf -> -Infinity
addx789 add -1 -Inf -> -Infinity
addx790 add -0 -Inf -> -Infinity
addx791 add 0 -Inf -> -Infinity
addx792 add 1 -Inf -> -Infinity
addx793 add 1000 -Inf -> -Infinity
addx794 add Inf -Inf -> NaN Invalid_operation
addx800 add Inf -Inf -> NaN Invalid_operation
addx801 add Inf -1000 -> Infinity
addx802 add Inf -1 -> Infinity
addx803 add Inf -0 -> Infinity
addx804 add Inf 0 -> Infinity
addx805 add Inf 1 -> Infinity
addx806 add Inf 1000 -> Infinity
addx807 add Inf Inf -> Infinity
addx808 add -1000 Inf -> Infinity
addx809 add -Inf Inf -> NaN Invalid_operation
addx810 add -1 Inf -> Infinity
addx811 add -0 Inf -> Infinity
addx812 add 0 Inf -> Infinity
addx813 add 1 Inf -> Infinity
addx814 add 1000 Inf -> Infinity
addx815 add Inf Inf -> Infinity
addx821 add NaN -Inf -> NaN
addx822 add NaN -1000 -> NaN
addx823 add NaN -1 -> NaN
addx824 add NaN -0 -> NaN
addx825 add NaN 0 -> NaN
addx826 add NaN 1 -> NaN
addx827 add NaN 1000 -> NaN
addx828 add NaN Inf -> NaN
addx829 add NaN NaN -> NaN
addx830 add -Inf NaN -> NaN
addx831 add -1000 NaN -> NaN
addx832 add -1 NaN -> NaN
addx833 add -0 NaN -> NaN
addx834 add 0 NaN -> NaN
addx835 add 1 NaN -> NaN
addx836 add 1000 NaN -> NaN
addx837 add Inf NaN -> NaN
addx841 add sNaN -Inf -> NaN Invalid_operation
addx842 add sNaN -1000 -> NaN Invalid_operation
addx843 add sNaN -1 -> NaN Invalid_operation
addx844 add sNaN -0 -> NaN Invalid_operation
addx845 add sNaN 0 -> NaN Invalid_operation
addx846 add sNaN 1 -> NaN Invalid_operation
addx847 add sNaN 1000 -> NaN Invalid_operation
addx848 add sNaN NaN -> NaN Invalid_operation
addx849 add sNaN sNaN -> NaN Invalid_operation
addx850 add NaN sNaN -> NaN Invalid_operation
addx851 add -Inf sNaN -> NaN Invalid_operation
addx852 add -1000 sNaN -> NaN Invalid_operation
addx853 add -1 sNaN -> NaN Invalid_operation
addx854 add -0 sNaN -> NaN Invalid_operation
addx855 add 0 sNaN -> NaN Invalid_operation
addx856 add 1 sNaN -> NaN Invalid_operation
addx857 add 1000 sNaN -> NaN Invalid_operation
addx858 add Inf sNaN -> NaN Invalid_operation
addx859 add NaN sNaN -> NaN Invalid_operation
-- propagating NaNs
addx861 add NaN1 -Inf -> NaN1
addx862 add +NaN2 -1000 -> NaN2
addx863 add NaN3 1000 -> NaN3
addx864 add NaN4 Inf -> NaN4
addx865 add NaN5 +NaN6 -> NaN5
addx866 add -Inf NaN7 -> NaN7
addx867 add -1000 NaN8 -> NaN8
addx868 add 1000 NaN9 -> NaN9
addx869 add Inf +NaN10 -> NaN10
addx871 add sNaN11 -Inf -> NaN11 Invalid_operation
addx872 add sNaN12 -1000 -> NaN12 Invalid_operation
addx873 add sNaN13 1000 -> NaN13 Invalid_operation
addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation
addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation
addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation
addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation
addx878 add -1000 sNaN21 -> NaN21 Invalid_operation
addx879 add 1000 sNaN22 -> NaN22 Invalid_operation
addx880 add Inf sNaN23 -> NaN23 Invalid_operation
addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation
addx882 add -NaN26 NaN28 -> -NaN26
addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation
addx884 add 1000 -NaN30 -> -NaN30
addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation
-- overflow, underflow and subnormal tests
maxexponent: 999999999
minexponent: -999999999
precision: 9
addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded
addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded
addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal
addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal
addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal
addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal
addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded
addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded
addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal
addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal
addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal
addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal
addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999
addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999
precision: 3
addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded
addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded
addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded
addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded
precision: 3
maxexponent: 999
minexponent: -999
addx910 add 1.00E-999 0 -> 1.00E-999
addx911 add 0.1E-999 0 -> 1E-1000 Subnormal
addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal
addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
addx914 add 0.01E-999 0 -> 1E-1001 Subnormal
-- next is rounded to Emin
addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow
addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow
addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow
addx930 add -1.00E-999 0 -> -1.00E-999
addx931 add -0.1E-999 0 -> -1E-1000 Subnormal
addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal
addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
addx934 add -0.01E-999 0 -> -1E-1001 Subnormal
-- next is rounded to Emin
addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow
-- some non-zero subnormal adds
addx950 add 1.00E-999 0.1E-999 -> 1.10E-999
addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal
addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal
addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded
addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal
addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded
addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow
addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow
addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
-- negatives...
addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal
addx962 add 0.1E-999 -0.1E-999 -> 0E-1000
addx963 add 0.10E-999 -0.1E-999 -> 0E-1001
addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped
addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal
addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow
addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow
addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow
addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
-- check overflow edge case
precision: 7
rounding: half_up
maxExponent: 96
minExponent: -95
addx972 apply 9.999999E+96 -> 9.999999E+96
addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded
addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded
addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded
addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded
addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded
addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded
addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded
addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded
addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded
addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded
addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded
addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded
addx985 apply -9.999999E+96 -> -9.999999E+96
addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded
addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded
addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded
addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded
addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded
addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded
addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded
addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded
addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded
addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded
addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded
addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded
-- check for double-rounded subnormals
precision: 5
maxexponent: 79
minexponent: -79
-- Add: lhs and rhs 0
addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
addx1005 add 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
addx1006 add 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
-- Add: lhs >> rhs and vice versa
addx1011 add 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
addx1012 add 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
addx1013 add 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
addx1014 add 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
addx1015 add 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
addx1016 add 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
-- Add: lhs + rhs addition carried out
addx1021 add 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
addx1022 add 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
addx1023 add 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
addx1024 add 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
addx1025 add 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
addx1026 add 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
-- And for round down full and subnormal results
precision: 16
maxExponent: +384
minExponent: -383
rounding: down
addx1100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
addx1101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
addx1103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
addx1104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
addx1105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
addx1106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
addx1107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
addx1108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
addx1109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
rounding: ceiling
addx1110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
addx1111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
addx1113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
addx1114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
addx1115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
addx1116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
addx1117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
addx1118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
addx1119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
rounding: down
precision: 7
maxExponent: +96
minExponent: -95
addx1130 add 1 -1e-200 -> 0.9999999 Rounded Inexact
-- subnormal boundary
addx1131 add 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact
addx1132 add 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact
addx1133 add 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow
addx1134 add 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow
addx1135 add 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow
addx1136 add 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow
addx1137 add 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal
addx1138 add 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow
addx1139 add 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
addx1140 add 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
addx1141 add 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
addx1142 add 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow
addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
addx1151 add 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
addx1152 add 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
addx1153 add 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
addx1154 add 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow
addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow
addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow
addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow
-- Null tests
addx9990 add 10 # -> NaN Invalid_operation
addx9991 add # 10 -> NaN Invalid_operation
