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cpython/Lib/test/decimaltestdata/add.decTest

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Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
------/cancell----------------------------------------------------------
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- add.decTest -- decimal addition --
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
-- Copyright (c) IBM Corporation, 1981, 2007. All rights reserved. --
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
------------------------------------------------------------------------
-- 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 --
------------------------------------------------------------------------
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
version: 2.57
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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'
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
addx052 add '10000e+9' '7000000' -> '10000007000000'
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- 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'
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
-- 123456789012345 123456789012345 1 23456789012345
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
addx364 add 9.999999E+92 -9.999999E+92 -> 0E+86
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- 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
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
-- and using decimal64 bounds (see also ddadd.decTest)
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- 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
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
-- next is rounded to Nmin
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
-- next is rounded to Nmin
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- 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
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
-- 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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- 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
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
-- 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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
Decimal module and test cases were updated to their state of the art. It now complies latest specification and tests. The only difference of this version with the one in the trunk is that a small subset that hash tests were removed, because they rely on modifications to core hash() function (see issue 1182 for further details).
2008-01-08 12:20:31 -04:00
-- 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
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- Null tests
addx9990 add 10 # -> NaN Invalid_operation
addx9991 add # 10 -> NaN Invalid_operation