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| author | Raymond Hettinger <python@rcn.com> | 2004-07-01 11:01:35 (GMT) |
|---|---|---|
| committer | Raymond Hettinger <python@rcn.com> | 2004-07-01 11:01:35 (GMT) |
| commit | 7c85fa4a5203912aca564ce719a0fdd0fd5411e5 (patch) | |
| tree | 6e36321b63337cb115f3ef1cdea79a7637b78a84 /Lib/test/decimaltestdata/add.decTest | |
| parent | 2ccf5d689bc1b893fc89ba3f5131a5f504dff1cd (diff) | |
| download | cpython-7c85fa4a5203912aca564ce719a0fdd0fd5411e5.zip cpython-7c85fa4a5203912aca564ce719a0fdd0fd5411e5.tar.gz cpython-7c85fa4a5203912aca564ce719a0fdd0fd5411e5.tar.bz2 | |
Move Decimal from the sandbox into production.
Diffstat (limited to 'Lib/test/decimaltestdata/add.decTest')
| -rw-r--r-- | Lib/test/decimaltestdata/add.decTest | 1127 |
1 files changed, 1127 insertions, 0 deletions
diff --git a/Lib/test/decimaltestdata/add.decTest b/Lib/test/decimaltestdata/add.decTest new file mode 100644 index 0000000..a4478a8 --- /dev/null +++ b/Lib/test/decimaltestdata/add.decTest @@ -0,0 +1,1127 @@ +------------------------------------------------------------------------ +-- add.decTest -- decimal addition -- +-- Copyright (c) IBM Corporation, 1981, 2004. All rights reserved. -- +------------------------------------------------------------------------ +-- Please see the document "General Decimal Arithmetic Testcases" -- +-- at http://www2.hursley.ibm.com/decimal for the description of -- +-- these testcases. -- +-- -- +-- These testcases are experimental ('beta' versions), and they -- +-- may contain errors. They are offered on an as-is basis. In -- +-- particular, achieving the same results as the tests here is not -- +-- a guarantee that an implementation complies with any Standard -- +-- or specification. The tests are not exhaustive. -- +-- -- +-- Please send comments, suggestions, and corrections to the author: -- +-- Mike Cowlishaw, IBM Fellow -- +-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- +-- mfc@uk.ibm.com -- +------------------------------------------------------------------------ +version: 2.38 + +precision: 9 +rounding: half_up +maxExponent: 384 +minexponent: -383 +extended: 1 + +-- [first group are 'quick confidence check'] +addx001 add 1 1 -> 2 +addx002 add 2 3 -> 5 +addx003 add '5.75' '3.3' -> 9.05 +addx004 add '5' '-3' -> 2 +addx005 add '-5' '-3' -> -8 +addx006 add '-7' '2.5' -> -4.5 +addx007 add '0.7' '0.3' -> 1.0 +addx008 add '1.25' '1.25' -> 2.50 +addx009 add '1.23456789' '1.00000000' -> '2.23456789' +addx010 add '1.23456789' '1.00000011' -> '2.23456800' + +addx011 add '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded +addx012 add '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded +addx013 add '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded +addx014 add '0.44444444449' '0' -> '0.444444444' Inexact Rounded +addx015 add '0.444444444499' '0' -> '0.444444444' Inexact Rounded +addx016 add '0.4444444444999' '0' -> '0.444444444' Inexact Rounded +addx017 add '0.4444444445000' '0' -> '0.444444445' Inexact Rounded +addx018 add '0.4444444445001' '0' -> '0.444444445' Inexact Rounded +addx019 add '0.444444444501' '0' -> '0.444444445' Inexact Rounded +addx020 add '0.44444444451' '0' -> '0.444444445' Inexact Rounded + +addx021 add 0 1 -> 1 +addx022 add 1 1 -> 2 +addx023 add 2 1 -> 3 +addx024 add 3 1 -> 4 +addx025 add 4 1 -> 5 +addx026 add 5 1 -> 6 +addx027 add 6 1 -> 7 +addx028 add 7 1 -> 8 +addx029 add 8 1 -> 9 +addx030 add 9 1 -> 10 + +-- some carrying effects +addx031 add '0.9998' '0.0000' -> '0.9998' +addx032 add '0.9998' '0.0001' -> '0.9999' +addx033 add '0.9998' '0.0002' -> '1.0000' +addx034 add '0.9998' '0.0003' -> '1.0001' + +addx035 add '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded +addx036 add '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded +addx037 add '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded +addx038 add '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded +addx039 add '700000' '10000e+9' -> '1.00000007E+13' Rounded + +-- symmetry: +addx040 add '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded +addx041 add '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded +addx042 add '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded +addx044 add '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded +addx045 add '10000e+9' '700000' -> '1.00000007E+13' Rounded + +-- same, higher precision +precision: 15 +addx046 add '10000e+9' '7' -> '10000000000007' +addx047 add '10000e+9' '70' -> '10000000000070' +addx048 add '10000e+9' '700' -> '10000000000700' +addx049 add '10000e+9' '7000' -> '10000000007000' +addx050 add '10000e+9' '70000' -> '10000000070000' +addx051 add '10000e+9' '700000' -> '10000000700000' + +-- examples from decarith +addx053 add '12' '7.00' -> '19.00' +addx054 add '1.3' '-1.07' -> '0.23' +addx055 add '1.3' '-1.30' -> '0.00' +addx056 add '1.3' '-2.07' -> '-0.77' +addx057 add '1E+2' '1E+4' -> '1.01E+4' + +-- zero preservation +precision: 6 +addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded +addx061 add 1 '0.0001' -> '1.0001' +addx062 add 1 '0.00001' -> '1.00001' +addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded +addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded +addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded + +-- some funny zeros [in case of bad signum] +addx070 add 1 0 -> 1 +addx071 add 1 0. -> 1 +addx072 add 1 .0 -> 1.0 +addx073 add 1 0.0 -> 1.0 +addx074 add 1 0.00 -> 1.00 +addx075 add 0 1 -> 1 +addx076 add 0. 1 -> 1 +addx077 add .0 1 -> 1.0 +addx078 add 0.0 1 -> 1.0 +addx079 add 0.00 1 -> 1.00 + +precision: 9 + +-- some carries +addx080 add 999999998 1 -> 999999999 +addx081 add 999999999 1 -> 1.00000000E+9 Rounded +addx082 add 99999999 1 -> 100000000 +addx083 add 9999999 1 -> 10000000 +addx084 add 999999 1 -> 1000000 +addx085 add 99999 1 -> 100000 +addx086 add 9999 1 -> 10000 +addx087 add 999 1 -> 1000 +addx088 add 99 1 -> 100 +addx089 add 9 1 -> 10 + + +-- more LHS swaps +addx090 add '-56267E-10' 0 -> '-0.0000056267' +addx091 add '-56267E-6' 0 -> '-0.056267' +addx092 add '-56267E-5' 0 -> '-0.56267' +addx093 add '-56267E-4' 0 -> '-5.6267' +addx094 add '-56267E-3' 0 -> '-56.267' +addx095 add '-56267E-2' 0 -> '-562.67' +addx096 add '-56267E-1' 0 -> '-5626.7' +addx097 add '-56267E-0' 0 -> '-56267' +addx098 add '-5E-10' 0 -> '-5E-10' +addx099 add '-5E-7' 0 -> '-5E-7' +addx100 add '-5E-6' 0 -> '-0.000005' +addx101 add '-5E-5' 0 -> '-0.00005' +addx102 add '-5E-4' 0 -> '-0.0005' +addx103 add '-5E-1' 0 -> '-0.5' +addx104 add '-5E0' 0 -> '-5' +addx105 add '-5E1' 0 -> '-50' +addx106 add '-5E5' 0 -> '-500000' +addx107 add '-5E8' 0 -> '-500000000' +addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded +addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded +addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded +addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded + +-- more RHS swaps +addx113 add 0 '-56267E-10' -> '-0.0000056267' +addx114 add 0 '-56267E-6' -> '-0.056267' +addx116 add 0 '-56267E-5' -> '-0.56267' +addx117 add 0 '-56267E-4' -> '-5.6267' +addx119 add 0 '-56267E-3' -> '-56.267' +addx120 add 0 '-56267E-2' -> '-562.67' +addx121 add 0 '-56267E-1' -> '-5626.7' +addx122 add 0 '-56267E-0' -> '-56267' +addx123 add 0 '-5E-10' -> '-5E-10' +addx124 add 0 '-5E-7' -> '-5E-7' +addx125 add 0 '-5E-6' -> '-0.000005' +addx126 add 0 '-5E-5' -> '-0.00005' +addx127 add 0 '-5E-4' -> '-0.0005' +addx128 add 0 '-5E-1' -> '-0.5' +addx129 add 0 '-5E0' -> '-5' +addx130 add 0 '-5E1' -> '-50' +addx131 add 0 '-5E5' -> '-500000' +addx132 add 0 '-5E8' -> '-500000000' +addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded +addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded +addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded +addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded + +-- related +addx137 add 1 '0E-12' -> '1.00000000' Rounded +addx138 add -1 '0E-12' -> '-1.00000000' Rounded +addx139 add '0E-12' 1 -> '1.00000000' Rounded +addx140 add '0E-12' -1 -> '-1.00000000' Rounded +addx141 add 1E+4 0.0000 -> '10000.0000' +addx142 add 1E+4 0.00000 -> '10000.0000' Rounded +addx143 add 0.000 1E+5 -> '100000.000' +addx144 add 0.0000 1E+5 -> '100000.000' Rounded + +-- [some of the next group are really constructor tests] +addx146 add '00.0' 0 -> '0.0' +addx147 add '0.00' 0 -> '0.00' +addx148 add 0 '0.00' -> '0.00' +addx149 add 0 '00.0' -> '0.0' +addx150 add '00.0' '0.00' -> '0.00' +addx151 add '0.00' '00.0' -> '0.00' +addx152 add '3' '.3' -> '3.3' +addx153 add '3.' '.3' -> '3.3' +addx154 add '3.0' '.3' -> '3.3' +addx155 add '3.00' '.3' -> '3.30' +addx156 add '3' '3' -> '6' +addx157 add '3' '+3' -> '6' +addx158 add '3' '-3' -> '0' +addx159 add '0.3' '-0.3' -> '0.0' +addx160 add '0.03' '-0.03' -> '0.00' + +-- try borderline precision, with carries, etc. +precision: 15 +addx161 add '1E+12' '-1' -> '999999999999' +addx162 add '1E+12' '1.11' -> '1000000000001.11' +addx163 add '1.11' '1E+12' -> '1000000000001.11' +addx164 add '-1' '1E+12' -> '999999999999' +addx165 add '7E+12' '-1' -> '6999999999999' +addx166 add '7E+12' '1.11' -> '7000000000001.11' +addx167 add '1.11' '7E+12' -> '7000000000001.11' +addx168 add '-1' '7E+12' -> '6999999999999' + +-- 123456789012345 123456789012345 1 23456789012345 +addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded +addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded +addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded +addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded +addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded +addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded +addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded +addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded +addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999' +addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998' +addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997' +addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996' +addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995' +addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994' + +-- and some more, including residue effects and different roundings +precision: 9 +rounding: half_up +addx200 add '123456789' 0 -> '123456789' +addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded +addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded +addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded +addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded +addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded +addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded +addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded +addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded +addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded +addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded +addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded +addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded +addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded +addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded +addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded +addx216 add '123456789' 1 -> '123456790' +addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded +addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded +addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded + +rounding: half_even +addx220 add '123456789' 0 -> '123456789' +addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded +addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded +addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded +addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded +addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded +addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded +addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded +addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded +addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded +addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded +addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded +addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded +addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded +addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded +addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded +addx236 add '123456789' 1 -> '123456790' +addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded +addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded +addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded +-- critical few with even bottom digit... +addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded +addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded +addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded + +rounding: down +addx250 add '123456789' 0 -> '123456789' +addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded +addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded +addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded +addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded +addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded +addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded +addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded +addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded +addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded +addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded +addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded +addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded +addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded +addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded +addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded +addx266 add '123456789' 1 -> '123456790' +addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded +addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded +addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded + +-- input preparation tests (operands should not be rounded) +precision: 3 +rounding: half_up + +addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded +addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded + +addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded +addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded +addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded +addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded +addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded +addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded +addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded + +addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded +addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded +addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded +addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded +addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded +addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded +addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded + +rounding: half_down +addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded +addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded +addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded +addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded +addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded +addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded +addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded + +-- 1 in last place tests +rounding: half_up +addx301 add -1 1 -> 0 +addx302 add 0 1 -> 1 +addx303 add 1 1 -> 2 +addx304 add 12 1 -> 13 +addx305 add 98 1 -> 99 +addx306 add 99 1 -> 100 +addx307 add 100 1 -> 101 +addx308 add 101 1 -> 102 +addx309 add -1 -1 -> -2 +addx310 add 0 -1 -> -1 +addx311 add 1 -1 -> 0 +addx312 add 12 -1 -> 11 +addx313 add 98 -1 -> 97 +addx314 add 99 -1 -> 98 +addx315 add 100 -1 -> 99 +addx316 add 101 -1 -> 100 + +addx321 add -0.01 0.01 -> 0.00 +addx322 add 0.00 0.01 -> 0.01 +addx323 add 0.01 0.01 -> 0.02 +addx324 add 0.12 0.01 -> 0.13 +addx325 add 0.98 0.01 -> 0.99 +addx326 add 0.99 0.01 -> 1.00 +addx327 add 1.00 0.01 -> 1.01 +addx328 add 1.01 0.01 -> 1.02 +addx329 add -0.01 -0.01 -> -0.02 +addx330 add 0.00 -0.01 -> -0.01 +addx331 add 0.01 -0.01 -> 0.00 +addx332 add 0.12 -0.01 -> 0.11 +addx333 add 0.98 -0.01 -> 0.97 +addx334 add 0.99 -0.01 -> 0.98 +addx335 add 1.00 -0.01 -> 0.99 +addx336 add 1.01 -0.01 -> 1.00 + +-- some more cases where adding 0 affects the coefficient +precision: 9 +addx340 add 1E+3 0 -> 1000 +addx341 add 1E+8 0 -> 100000000 +addx342 add 1E+9 0 -> 1.00000000E+9 Rounded +addx343 add 1E+10 0 -> 1.00000000E+10 Rounded +-- which simply follow from these cases ... +addx344 add 1E+3 1 -> 1001 +addx345 add 1E+8 1 -> 100000001 +addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded +addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded +addx348 add 1E+3 7 -> 1007 +addx349 add 1E+8 7 -> 100000007 +addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded +addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded + +-- tryzeros cases +precision: 7 +rounding: half_up +maxExponent: 92 +minexponent: -92 +addx361 add 0E+50 10000E+1 -> 1.0000E+5 +addx362 add 10000E+1 0E-50 -> 100000.0 Rounded +addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact + +-- a curiosity from JSR 13 testing +rounding: half_down +precision: 10 +addx370 add 99999999 81512 -> 100081511 +precision: 6 +addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact +rounding: half_up +precision: 10 +addx372 add 99999999 81512 -> 100081511 +precision: 6 +addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact +rounding: half_even +precision: 10 +addx374 add 99999999 81512 -> 100081511 +precision: 6 +addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact + +-- ulp replacement tests +precision: 9 +maxexponent: 999999999 +minexponent: -999999999 +addx400 add 1 77e-7 -> 1.0000077 +addx401 add 1 77e-8 -> 1.00000077 +addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded +addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded +addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded +addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded +addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded +addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded + +addx410 add 10 77e-7 -> 10.0000077 +addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded +addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded +addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded +addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded +addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded +addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded +addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded + +addx420 add 77e-7 1 -> 1.0000077 +addx421 add 77e-8 1 -> 1.00000077 +addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded +addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded +addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded +addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded +addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded +addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded + +addx430 add 77e-7 10 -> 10.0000077 +addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded +addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded +addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded +addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded +addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded +addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded +addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded + +-- negative ulps +addx440 add 1 -77e-7 -> 0.9999923 +addx441 add 1 -77e-8 -> 0.99999923 +addx442 add 1 -77e-9 -> 0.999999923 +addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded +addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded +addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded +addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded +addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded + +addx450 add 10 -77e-7 -> 9.9999923 +addx451 add 10 -77e-8 -> 9.99999923 +addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded +addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded +addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded +addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded +addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded +addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded + +addx460 add -77e-7 1 -> 0.9999923 +addx461 add -77e-8 1 -> 0.99999923 +addx462 add -77e-9 1 -> 0.999999923 +addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded +addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded +addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded +addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded +addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded + +addx470 add -77e-7 10 -> 9.9999923 +addx471 add -77e-8 10 -> 9.99999923 +addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded +addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded +addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded +addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded +addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded +addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded + +-- negative ulps +addx480 add -1 77e-7 -> -0.9999923 +addx481 add -1 77e-8 -> -0.99999923 +addx482 add -1 77e-9 -> -0.999999923 +addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded +addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded +addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded +addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded +addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded + +addx490 add -10 77e-7 -> -9.9999923 +addx491 add -10 77e-8 -> -9.99999923 +addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded +addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded +addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded +addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded +addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded +addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded + +addx500 add 77e-7 -1 -> -0.9999923 +addx501 add 77e-8 -1 -> -0.99999923 +addx502 add 77e-9 -1 -> -0.999999923 +addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded +addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded +addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded +addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded +addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded + +addx510 add 77e-7 -10 -> -9.9999923 +addx511 add 77e-8 -10 -> -9.99999923 +addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded +addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded +addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded +addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded +addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded +addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded + + +-- long operands +maxexponent: 999 +minexponent: -999 +precision: 9 +addx521 add 12345678000 0 -> 1.23456780E+10 Rounded +addx522 add 0 12345678000 -> 1.23456780E+10 Rounded +addx523 add 1234567800 0 -> 1.23456780E+9 Rounded +addx524 add 0 1234567800 -> 1.23456780E+9 Rounded +addx525 add 1234567890 0 -> 1.23456789E+9 Rounded +addx526 add 0 1234567890 -> 1.23456789E+9 Rounded +addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded +addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded +addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded +addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded +addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded +addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded + +precision: 15 +-- still checking +addx541 add 12345678000 0 -> 12345678000 +addx542 add 0 12345678000 -> 12345678000 +addx543 add 1234567800 0 -> 1234567800 +addx544 add 0 1234567800 -> 1234567800 +addx545 add 1234567890 0 -> 1234567890 +addx546 add 0 1234567890 -> 1234567890 +addx547 add 1234567891 0 -> 1234567891 +addx548 add 0 1234567891 -> 1234567891 +addx549 add 12345678901 0 -> 12345678901 +addx550 add 0 12345678901 -> 12345678901 +addx551 add 1234567896 0 -> 1234567896 +addx552 add 0 1234567896 -> 1234567896 + +-- verify a query +precision: 16 +maxExponent: +394 +minExponent: -393 +rounding: down +addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded +addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded +-- and using decimal64 bounds... +precision: 16 +maxExponent: +384 +minExponent: -383 +rounding: down +addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded +addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded + +-- some more residue effects with extreme rounding +precision: 9 +rounding: half_up +addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded +rounding: half_even +addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded +rounding: half_down +addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded +rounding: floor +addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded +rounding: ceiling +addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded +rounding: up +addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded +rounding: down +addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded + +rounding: half_up +addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded +rounding: half_even +addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded +rounding: half_down +addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded +rounding: floor +addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded +rounding: ceiling +addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded +rounding: up +addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded +rounding: down +addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded + +rounding: half_up +addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded +rounding: half_even +addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded +rounding: half_down +addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded +rounding: floor +addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded +rounding: ceiling +addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded +rounding: up +addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded +rounding: down +addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded + +rounding: half_up +addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded +rounding: half_even +addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded +rounding: half_down +addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded +rounding: floor +addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded +rounding: ceiling +addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded +rounding: up +addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded +rounding: down +addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded + +rounding: half_up +addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded +rounding: half_even +addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded +rounding: half_down +addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded +rounding: floor +addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded +rounding: ceiling +addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded +rounding: up +addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded +rounding: down +addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded + +rounding: half_up +addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded +rounding: half_even +addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded +rounding: half_down +addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded +rounding: floor +addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded +rounding: ceiling +addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded +rounding: up +addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded +rounding: down +addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded + +-- long operand triangle +rounding: half_up +precision: 37 +addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538 +precision: 36 +addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded +precision: 35 +addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded +precision: 34 +addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded +precision: 33 +addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded +precision: 32 +addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded +precision: 31 +addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded +precision: 30 +addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded +precision: 29 +addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded +precision: 28 +addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded +precision: 27 +addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded +precision: 26 +addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded +precision: 25 +addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded +precision: 24 +addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded +precision: 23 +addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded +precision: 22 +addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded +precision: 21 +addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded +precision: 20 +addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded +precision: 19 +addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded +precision: 18 +addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded +precision: 17 +addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded +precision: 16 +addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded +precision: 15 +addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded +precision: 14 +addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded +precision: 13 +addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded +precision: 12 +addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded +precision: 11 +addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded +precision: 10 +addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded +precision: 9 +addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded +precision: 8 +addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded +precision: 7 +addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded +precision: 6 +addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded +precision: 5 +addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded +precision: 4 +addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded +precision: 3 +addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded +precision: 2 +addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded +precision: 1 +addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded + +-- more zeros, etc. +rounding: half_up +precision: 9 + +addx701 add 5.00 1.00E-3 -> 5.00100 +addx702 add 00.00 0.000 -> 0.000 +addx703 add 00.00 0E-3 -> 0.000 +addx704 add 0E-3 00.00 -> 0.000 + +addx710 add 0E+3 00.00 -> 0.00 +addx711 add 0E+3 00.0 -> 0.0 +addx712 add 0E+3 00. -> 0 +addx713 add 0E+3 00.E+1 -> 0E+1 +addx714 add 0E+3 00.E+2 -> 0E+2 +addx715 add 0E+3 00.E+3 -> 0E+3 +addx716 add 0E+3 00.E+4 -> 0E+3 +addx717 add 0E+3 00.E+5 -> 0E+3 +addx718 add 0E+3 -00.0 -> 0.0 +addx719 add 0E+3 -00. -> 0 +addx731 add 0E+3 -00.E+1 -> 0E+1 + +addx720 add 00.00 0E+3 -> 0.00 +addx721 add 00.0 0E+3 -> 0.0 +addx722 add 00. 0E+3 -> 0 +addx723 add 00.E+1 0E+3 -> 0E+1 +addx724 add 00.E+2 0E+3 -> 0E+2 +addx725 add 00.E+3 0E+3 -> 0E+3 +addx726 add 00.E+4 0E+3 -> 0E+3 +addx727 add 00.E+5 0E+3 -> 0E+3 +addx728 add -00.00 0E+3 -> 0.00 +addx729 add -00.0 0E+3 -> 0.0 +addx730 add -00. 0E+3 -> 0 + +addx732 add 0 0 -> 0 +addx733 add 0 -0 -> 0 +addx734 add -0 0 -> 0 +addx735 add -0 -0 -> -0 -- IEEE 854 special case + +addx736 add 1 -1 -> 0 +addx737 add -1 -1 -> -2 +addx738 add 1 1 -> 2 +addx739 add -1 1 -> 0 + +addx741 add 0 -1 -> -1 +addx742 add -0 -1 -> -1 +addx743 add 0 1 -> 1 +addx744 add -0 1 -> 1 +addx745 add -1 0 -> -1 +addx746 add -1 -0 -> -1 +addx747 add 1 0 -> 1 +addx748 add 1 -0 -> 1 + +addx751 add 0.0 -1 -> -1.0 +addx752 add -0.0 -1 -> -1.0 +addx753 add 0.0 1 -> 1.0 +addx754 add -0.0 1 -> 1.0 +addx755 add -1.0 0 -> -1.0 +addx756 add -1.0 -0 -> -1.0 +addx757 add 1.0 0 -> 1.0 +addx758 add 1.0 -0 -> 1.0 + +addx761 add 0 -1.0 -> -1.0 +addx762 add -0 -1.0 -> -1.0 +addx763 add 0 1.0 -> 1.0 +addx764 add -0 1.0 -> 1.0 +addx765 add -1 0.0 -> -1.0 +addx766 add -1 -0.0 -> -1.0 +addx767 add 1 0.0 -> 1.0 +addx768 add 1 -0.0 -> 1.0 + +addx771 add 0.0 -1.0 -> -1.0 +addx772 add -0.0 -1.0 -> -1.0 +addx773 add 0.0 1.0 -> 1.0 +addx774 add -0.0 1.0 -> 1.0 +addx775 add -1.0 0.0 -> -1.0 +addx776 add -1.0 -0.0 -> -1.0 +addx777 add 1.0 0.0 -> 1.0 +addx778 add 1.0 -0.0 -> 1.0 + +-- Specials +addx780 add -Inf -Inf -> -Infinity +addx781 add -Inf -1000 -> -Infinity +addx782 add -Inf -1 -> -Infinity +addx783 add -Inf -0 -> -Infinity +addx784 add -Inf 0 -> -Infinity +addx785 add -Inf 1 -> -Infinity +addx786 add -Inf 1000 -> -Infinity +addx787 add -1000 -Inf -> -Infinity +addx788 add -Inf -Inf -> -Infinity +addx789 add -1 -Inf -> -Infinity +addx790 add -0 -Inf -> -Infinity +addx791 add 0 -Inf -> -Infinity +addx792 add 1 -Inf -> -Infinity +addx793 add 1000 -Inf -> -Infinity +addx794 add Inf -Inf -> NaN Invalid_operation + +addx800 add Inf -Inf -> NaN Invalid_operation +addx801 add Inf -1000 -> Infinity +addx802 add Inf -1 -> Infinity +addx803 add Inf -0 -> Infinity +addx804 add Inf 0 -> Infinity +addx805 add Inf 1 -> Infinity +addx806 add Inf 1000 -> Infinity +addx807 add Inf Inf -> Infinity +addx808 add -1000 Inf -> Infinity +addx809 add -Inf Inf -> NaN Invalid_operation +addx810 add -1 Inf -> Infinity +addx811 add -0 Inf -> Infinity +addx812 add 0 Inf -> Infinity +addx813 add 1 Inf -> Infinity +addx814 add 1000 Inf -> Infinity +addx815 add Inf Inf -> Infinity + +addx821 add NaN -Inf -> NaN +addx822 add NaN -1000 -> NaN +addx823 add NaN -1 -> NaN +addx824 add NaN -0 -> NaN +addx825 add NaN 0 -> NaN +addx826 add NaN 1 -> NaN +addx827 add NaN 1000 -> NaN +addx828 add NaN Inf -> NaN +addx829 add NaN NaN -> NaN +addx830 add -Inf NaN -> NaN +addx831 add -1000 NaN -> NaN +addx832 add -1 NaN -> NaN +addx833 add -0 NaN -> NaN +addx834 add 0 NaN -> NaN +addx835 add 1 NaN -> NaN +addx836 add 1000 NaN -> NaN +addx837 add Inf NaN -> NaN + +addx841 add sNaN -Inf -> NaN Invalid_operation +addx842 add sNaN -1000 -> NaN Invalid_operation +addx843 add sNaN -1 -> NaN Invalid_operation +addx844 add sNaN -0 -> NaN Invalid_operation +addx845 add sNaN 0 -> NaN Invalid_operation +addx846 add sNaN 1 -> NaN Invalid_operation +addx847 add sNaN 1000 -> NaN Invalid_operation +addx848 add sNaN NaN -> NaN Invalid_operation +addx849 add sNaN sNaN -> NaN Invalid_operation +addx850 add NaN sNaN -> NaN Invalid_operation +addx851 add -Inf sNaN -> NaN Invalid_operation +addx852 add -1000 sNaN -> NaN Invalid_operation +addx853 add -1 sNaN -> NaN Invalid_operation +addx854 add -0 sNaN -> NaN Invalid_operation +addx855 add 0 sNaN -> NaN Invalid_operation +addx856 add 1 sNaN -> NaN Invalid_operation +addx857 add 1000 sNaN -> NaN Invalid_operation +addx858 add Inf sNaN -> NaN Invalid_operation +addx859 add NaN sNaN -> NaN Invalid_operation + +-- propagating NaNs +addx861 add NaN1 -Inf -> NaN1 +addx862 add +NaN2 -1000 -> NaN2 +addx863 add NaN3 1000 -> NaN3 +addx864 add NaN4 Inf -> NaN4 +addx865 add NaN5 +NaN6 -> NaN5 +addx866 add -Inf NaN7 -> NaN7 +addx867 add -1000 NaN8 -> NaN8 +addx868 add 1000 NaN9 -> NaN9 +addx869 add Inf +NaN10 -> NaN10 +addx871 add sNaN11 -Inf -> NaN11 Invalid_operation +addx872 add sNaN12 -1000 -> NaN12 Invalid_operation +addx873 add sNaN13 1000 -> NaN13 Invalid_operation +addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation +addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation +addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation +addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation +addx878 add -1000 sNaN21 -> NaN21 Invalid_operation +addx879 add 1000 sNaN22 -> NaN22 Invalid_operation +addx880 add Inf sNaN23 -> NaN23 Invalid_operation +addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation +addx882 add -NaN26 NaN28 -> -NaN26 +addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation +addx884 add 1000 -NaN30 -> -NaN30 +addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation + +-- overflow, underflow and subnormal tests +maxexponent: 999999999 +minexponent: -999999999 +precision: 9 +addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded +addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded +addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal +addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal +addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal +addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal +addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded +addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded +addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal +addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal +addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal +addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal +addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999 +addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999 + +precision: 3 +addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded +addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded +addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded +addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded + +precision: 3 +maxexponent: 999 +minexponent: -999 +addx910 add 1.00E-999 0 -> 1.00E-999 +addx911 add 0.1E-999 0 -> 1E-1000 Subnormal +addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal +addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded +addx914 add 0.01E-999 0 -> 1E-1001 Subnormal +-- next is rounded to Emin +addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow +addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow +addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow +addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow +addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow +addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow + +addx930 add -1.00E-999 0 -> -1.00E-999 +addx931 add -0.1E-999 0 -> -1E-1000 Subnormal +addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal +addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded +addx934 add -0.01E-999 0 -> -1E-1001 Subnormal +-- next is rounded to Emin +addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow +addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow +addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow +addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow +addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow +addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow + +-- some non-zero subnormal adds +addx950 add 1.00E-999 0.1E-999 -> 1.10E-999 +addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal +addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal +addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded +addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal +addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded +addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow +addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow +addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow +addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow +addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow +-- negatives... +addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal +addx962 add 0.1E-999 -0.1E-999 -> 0E-1000 +addx963 add 0.10E-999 -0.1E-999 -> 0E-1001 +addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped +addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal +addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow +addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow +addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow +addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow +addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow +addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow + +-- check overflow edge case +precision: 7 +rounding: half_up +maxExponent: 96 +minExponent: -95 +addx972 apply 9.999999E+96 -> 9.999999E+96 +addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded +addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded +addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded +addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded +addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded +addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded +addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded +addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded +addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded +addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded +addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded +addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded + +addx985 apply -9.999999E+96 -> -9.999999E+96 +addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded +addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded +addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded +addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded +addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded +addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded +addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded +addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded +addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded +addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded +addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded +addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded + +-- check for double-rounded subnormals +precision: 5 +maxexponent: 79 +minexponent: -79 +-- Add: lhs and rhs 0 +addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow +addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow +addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow +addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow +addx1005 add 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow +addx1006 add 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow + +-- Add: lhs >> rhs and vice versa +addx1011 add 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow +addx1012 add 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow +addx1013 add 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow +addx1014 add 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow +addx1015 add 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow +addx1016 add 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow + +-- Add: lhs + rhs addition carried out +addx1021 add 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow +addx1022 add 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow +addx1023 add 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow +addx1024 add 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow +addx1025 add 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow +addx1026 add 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow + +-- And for round down full and subnormal results +precision: 16 +maxExponent: +384 +minExponent: -383 +rounding: down + +addx1100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact +addx1101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact +addx1103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact +addx1104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact +addx1105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact +addx1106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact +addx1107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact +addx1108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact +addx1109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact + +rounding: ceiling +addx1110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact +addx1111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact +addx1113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact +addx1114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact +addx1115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact +addx1116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact +addx1117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact +addx1118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact +addx1119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact + +rounding: down +precision: 7 +maxExponent: +96 +minExponent: -95 +addx1130 add 1 -1e-200 -> 0.9999999 Rounded Inexact +-- subnormal boundary +addx1131 add 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact +addx1132 add 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact +addx1133 add 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow +addx1134 add 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow +addx1135 add 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow +addx1136 add 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow +addx1137 add 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal +addx1138 add 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow +addx1139 add 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow +addx1140 add 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow +addx1141 add 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow +addx1142 add 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow +addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow +addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow + +addx1151 add 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow +addx1152 add 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow +addx1153 add 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow +addx1154 add 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow +addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow +addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow +addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow + +addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow +addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow + + +-- Null tests +addx9990 add 10 # -> NaN Invalid_operation +addx9991 add # 10 -> NaN Invalid_operation |