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Diffstat (limited to 'lib/python2.7/test/decimaltestdata/add.decTest')
| -rw-r--r-- | lib/python2.7/test/decimaltestdata/add.decTest | 2716 |
1 files changed, 0 insertions, 2716 deletions
diff --git a/lib/python2.7/test/decimaltestdata/add.decTest b/lib/python2.7/test/decimaltestdata/add.decTest deleted file mode 100644 index 1461c45..0000000 --- a/lib/python2.7/test/decimaltestdata/add.decTest +++ /dev/null @@ -1,2716 +0,0 @@ -------/cancell---------------------------------------------------------- --- add.decTest -- decimal addition -- --- Copyright (c) IBM Corporation, 1981, 2008. 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: 2.59 - -precision: 9 -rounding: half_up -maxExponent: 384 -minexponent: -383 -extended: 1 - --- [first group are 'quick confidence check'] -addx001 add 1 1 -> 2 -addx002 add 2 3 -> 5 -addx003 add '5.75' '3.3' -> 9.05 -addx004 add '5' '-3' -> 2 -addx005 add '-5' '-3' -> -8 -addx006 add '-7' '2.5' -> -4.5 -addx007 add '0.7' '0.3' -> 1.0 -addx008 add '1.25' '1.25' -> 2.50 -addx009 add '1.23456789' '1.00000000' -> '2.23456789' -addx010 add '1.23456789' '1.00000011' -> '2.23456800' - -addx011 add '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded -addx012 add '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded -addx013 add '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded -addx014 add '0.44444444449' '0' -> '0.444444444' Inexact Rounded -addx015 add '0.444444444499' '0' -> '0.444444444' Inexact Rounded -addx016 add '0.4444444444999' '0' -> '0.444444444' Inexact Rounded -addx017 add '0.4444444445000' '0' -> '0.444444445' Inexact Rounded -addx018 add '0.4444444445001' '0' -> '0.444444445' Inexact Rounded -addx019 add '0.444444444501' '0' -> '0.444444445' Inexact Rounded -addx020 add '0.44444444451' '0' -> '0.444444445' Inexact Rounded - -addx021 add 0 1 -> 1 -addx022 add 1 1 -> 2 -addx023 add 2 1 -> 3 -addx024 add 3 1 -> 4 -addx025 add 4 1 -> 5 -addx026 add 5 1 -> 6 -addx027 add 6 1 -> 7 -addx028 add 7 1 -> 8 -addx029 add 8 1 -> 9 -addx030 add 9 1 -> 10 - --- some carrying effects -addx031 add '0.9998' '0.0000' -> '0.9998' -addx032 add '0.9998' '0.0001' -> '0.9999' -addx033 add '0.9998' '0.0002' -> '1.0000' -addx034 add '0.9998' '0.0003' -> '1.0001' - -addx035 add '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded -addx036 add '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded -addx037 add '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded -addx038 add '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded -addx039 add '700000' '10000e+9' -> '1.00000007E+13' Rounded - --- symmetry: -addx040 add '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded -addx041 add '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded -addx042 add '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded -addx044 add '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded -addx045 add '10000e+9' '700000' -> '1.00000007E+13' Rounded - --- same, higher precision -precision: 15 -addx046 add '10000e+9' '7' -> '10000000000007' -addx047 add '10000e+9' '70' -> '10000000000070' -addx048 add '10000e+9' '700' -> '10000000000700' -addx049 add '10000e+9' '7000' -> '10000000007000' -addx050 add '10000e+9' '70000' -> '10000000070000' -addx051 add '10000e+9' '700000' -> '10000000700000' -addx052 add '10000e+9' '7000000' -> '10000007000000' - --- examples from decarith -addx053 add '12' '7.00' -> '19.00' -addx054 add '1.3' '-1.07' -> '0.23' -addx055 add '1.3' '-1.30' -> '0.00' -addx056 add '1.3' '-2.07' -> '-0.77' -addx057 add '1E+2' '1E+4' -> '1.01E+4' - --- zero preservation -precision: 6 -addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded -addx061 add 1 '0.0001' -> '1.0001' -addx062 add 1 '0.00001' -> '1.00001' -addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded -addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded -addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded - --- some funny zeros [in case of bad signum] -addx070 add 1 0 -> 1 -addx071 add 1 0. -> 1 -addx072 add 1 .0 -> 1.0 -addx073 add 1 0.0 -> 1.0 -addx074 add 1 0.00 -> 1.00 -addx075 add 0 1 -> 1 -addx076 add 0. 1 -> 1 -addx077 add .0 1 -> 1.0 -addx078 add 0.0 1 -> 1.0 -addx079 add 0.00 1 -> 1.00 - -precision: 9 - --- some carries -addx080 add 999999998 1 -> 999999999 -addx081 add 999999999 1 -> 1.00000000E+9 Rounded -addx082 add 99999999 1 -> 100000000 -addx083 add 9999999 1 -> 10000000 -addx084 add 999999 1 -> 1000000 -addx085 add 99999 1 -> 100000 -addx086 add 9999 1 -> 10000 -addx087 add 999 1 -> 1000 -addx088 add 99 1 -> 100 -addx089 add 9 1 -> 10 - - --- more LHS swaps -addx090 add '-56267E-10' 0 -> '-0.0000056267' -addx091 add '-56267E-6' 0 -> '-0.056267' -addx092 add '-56267E-5' 0 -> '-0.56267' -addx093 add '-56267E-4' 0 -> '-5.6267' -addx094 add '-56267E-3' 0 -> '-56.267' -addx095 add '-56267E-2' 0 -> '-562.67' -addx096 add '-56267E-1' 0 -> '-5626.7' -addx097 add '-56267E-0' 0 -> '-56267' -addx098 add '-5E-10' 0 -> '-5E-10' -addx099 add '-5E-7' 0 -> '-5E-7' -addx100 add '-5E-6' 0 -> '-0.000005' -addx101 add '-5E-5' 0 -> '-0.00005' -addx102 add '-5E-4' 0 -> '-0.0005' -addx103 add '-5E-1' 0 -> '-0.5' -addx104 add '-5E0' 0 -> '-5' -addx105 add '-5E1' 0 -> '-50' -addx106 add '-5E5' 0 -> '-500000' -addx107 add '-5E8' 0 -> '-500000000' -addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded -addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded -addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded -addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded - --- more RHS swaps -addx113 add 0 '-56267E-10' -> '-0.0000056267' -addx114 add 0 '-56267E-6' -> '-0.056267' -addx116 add 0 '-56267E-5' -> '-0.56267' -addx117 add 0 '-56267E-4' -> '-5.6267' -addx119 add 0 '-56267E-3' -> '-56.267' -addx120 add 0 '-56267E-2' -> '-562.67' -addx121 add 0 '-56267E-1' -> '-5626.7' -addx122 add 0 '-56267E-0' -> '-56267' -addx123 add 0 '-5E-10' -> '-5E-10' -addx124 add 0 '-5E-7' -> '-5E-7' -addx125 add 0 '-5E-6' -> '-0.000005' -addx126 add 0 '-5E-5' -> '-0.00005' -addx127 add 0 '-5E-4' -> '-0.0005' -addx128 add 0 '-5E-1' -> '-0.5' -addx129 add 0 '-5E0' -> '-5' -addx130 add 0 '-5E1' -> '-50' -addx131 add 0 '-5E5' -> '-500000' -addx132 add 0 '-5E8' -> '-500000000' -addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded -addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded -addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded -addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded - --- related -addx137 add 1 '0E-12' -> '1.00000000' Rounded -addx138 add -1 '0E-12' -> '-1.00000000' Rounded -addx139 add '0E-12' 1 -> '1.00000000' Rounded -addx140 add '0E-12' -1 -> '-1.00000000' Rounded -addx141 add 1E+4 0.0000 -> '10000.0000' -addx142 add 1E+4 0.00000 -> '10000.0000' Rounded -addx143 add 0.000 1E+5 -> '100000.000' -addx144 add 0.0000 1E+5 -> '100000.000' Rounded - --- [some of the next group are really constructor tests] -addx146 add '00.0' 0 -> '0.0' -addx147 add '0.00' 0 -> '0.00' -addx148 add 0 '0.00' -> '0.00' -addx149 add 0 '00.0' -> '0.0' -addx150 add '00.0' '0.00' -> '0.00' -addx151 add '0.00' '00.0' -> '0.00' -addx152 add '3' '.3' -> '3.3' -addx153 add '3.' '.3' -> '3.3' -addx154 add '3.0' '.3' -> '3.3' -addx155 add '3.00' '.3' -> '3.30' -addx156 add '3' '3' -> '6' -addx157 add '3' '+3' -> '6' -addx158 add '3' '-3' -> '0' -addx159 add '0.3' '-0.3' -> '0.0' -addx160 add '0.03' '-0.03' -> '0.00' - --- try borderline precision, with carries, etc. -precision: 15 -addx161 add '1E+12' '-1' -> '999999999999' -addx162 add '1E+12' '1.11' -> '1000000000001.11' -addx163 add '1.11' '1E+12' -> '1000000000001.11' -addx164 add '-1' '1E+12' -> '999999999999' -addx165 add '7E+12' '-1' -> '6999999999999' -addx166 add '7E+12' '1.11' -> '7000000000001.11' -addx167 add '1.11' '7E+12' -> '7000000000001.11' -addx168 add '-1' '7E+12' -> '6999999999999' - --- 123456789012345 123456789012345 1 23456789012345 -addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded -addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded -addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded -addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded -addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded -addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded -addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded -addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded -addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999' -addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998' -addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997' -addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996' -addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995' -addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994' - --- and some more, including residue effects and different roundings -precision: 9 -rounding: half_up -addx200 add '123456789' 0 -> '123456789' -addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded -addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded -addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded -addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded -addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded -addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded -addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded -addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded -addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded -addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded -addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded -addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded -addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded -addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded -addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded -addx216 add '123456789' 1 -> '123456790' -addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded -addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded -addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded - -rounding: half_even -addx220 add '123456789' 0 -> '123456789' -addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded -addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded -addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded -addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded -addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded -addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded -addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded -addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded -addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded -addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded -addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded -addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded -addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded -addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded -addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded -addx236 add '123456789' 1 -> '123456790' -addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded -addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded -addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded --- critical few with even bottom digit... -addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded -addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded -addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded - -rounding: down -addx250 add '123456789' 0 -> '123456789' -addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded -addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded -addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded -addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded -addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded -addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded -addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded -addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded -addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded -addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded -addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded -addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded -addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded -addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded -addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded -addx266 add '123456789' 1 -> '123456790' -addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded -addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded -addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded - --- input preparation tests (operands should not be rounded) -precision: 3 -rounding: half_up - -addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded -addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded - -addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded -addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded -addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded -addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded -addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded -addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded -addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded - -addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded -addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded -addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded -addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded -addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded -addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded -addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded - -rounding: half_down -addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded -addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded -addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded -addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded -addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded -addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded -addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded - --- 1 in last place tests -rounding: half_up -addx301 add -1 1 -> 0 -addx302 add 0 1 -> 1 -addx303 add 1 1 -> 2 -addx304 add 12 1 -> 13 -addx305 add 98 1 -> 99 -addx306 add 99 1 -> 100 -addx307 add 100 1 -> 101 -addx308 add 101 1 -> 102 -addx309 add -1 -1 -> -2 -addx310 add 0 -1 -> -1 -addx311 add 1 -1 -> 0 -addx312 add 12 -1 -> 11 -addx313 add 98 -1 -> 97 -addx314 add 99 -1 -> 98 -addx315 add 100 -1 -> 99 -addx316 add 101 -1 -> 100 - -addx321 add -0.01 0.01 -> 0.00 -addx322 add 0.00 0.01 -> 0.01 -addx323 add 0.01 0.01 -> 0.02 -addx324 add 0.12 0.01 -> 0.13 -addx325 add 0.98 0.01 -> 0.99 -addx326 add 0.99 0.01 -> 1.00 -addx327 add 1.00 0.01 -> 1.01 -addx328 add 1.01 0.01 -> 1.02 -addx329 add -0.01 -0.01 -> -0.02 -addx330 add 0.00 -0.01 -> -0.01 -addx331 add 0.01 -0.01 -> 0.00 -addx332 add 0.12 -0.01 -> 0.11 -addx333 add 0.98 -0.01 -> 0.97 -addx334 add 0.99 -0.01 -> 0.98 -addx335 add 1.00 -0.01 -> 0.99 -addx336 add 1.01 -0.01 -> 1.00 - --- some more cases where adding 0 affects the coefficient -precision: 9 -addx340 add 1E+3 0 -> 1000 -addx341 add 1E+8 0 -> 100000000 -addx342 add 1E+9 0 -> 1.00000000E+9 Rounded -addx343 add 1E+10 0 -> 1.00000000E+10 Rounded --- which simply follow from these cases ... -addx344 add 1E+3 1 -> 1001 -addx345 add 1E+8 1 -> 100000001 -addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded -addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded -addx348 add 1E+3 7 -> 1007 -addx349 add 1E+8 7 -> 100000007 -addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded -addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded - --- tryzeros cases -precision: 7 -rounding: half_up -maxExponent: 92 -minexponent: -92 -addx361 add 0E+50 10000E+1 -> 1.0000E+5 -addx362 add 10000E+1 0E-50 -> 100000.0 Rounded -addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact -addx364 add 9.999999E+92 -9.999999E+92 -> 0E+86 - --- a curiosity from JSR 13 testing -rounding: half_down -precision: 10 -addx370 add 99999999 81512 -> 100081511 -precision: 6 -addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact -rounding: half_up -precision: 10 -addx372 add 99999999 81512 -> 100081511 -precision: 6 -addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact -rounding: half_even -precision: 10 -addx374 add 99999999 81512 -> 100081511 -precision: 6 -addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact - --- ulp replacement tests -precision: 9 -maxexponent: 999999999 -minexponent: -999999999 -addx400 add 1 77e-7 -> 1.0000077 -addx401 add 1 77e-8 -> 1.00000077 -addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded -addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded -addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded -addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded -addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded -addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded - -addx410 add 10 77e-7 -> 10.0000077 -addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded -addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded -addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded -addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded -addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded -addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded -addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded - -addx420 add 77e-7 1 -> 1.0000077 -addx421 add 77e-8 1 -> 1.00000077 -addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded -addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded -addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded -addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded -addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded -addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded - -addx430 add 77e-7 10 -> 10.0000077 -addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded -addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded -addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded -addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded -addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded -addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded -addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded - --- negative ulps -addx440 add 1 -77e-7 -> 0.9999923 -addx441 add 1 -77e-8 -> 0.99999923 -addx442 add 1 -77e-9 -> 0.999999923 -addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded -addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded -addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded -addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded -addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded - -addx450 add 10 -77e-7 -> 9.9999923 -addx451 add 10 -77e-8 -> 9.99999923 -addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded -addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded -addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded -addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded -addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded -addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded - -addx460 add -77e-7 1 -> 0.9999923 -addx461 add -77e-8 1 -> 0.99999923 -addx462 add -77e-9 1 -> 0.999999923 -addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded -addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded -addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded -addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded -addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded - -addx470 add -77e-7 10 -> 9.9999923 -addx471 add -77e-8 10 -> 9.99999923 -addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded -addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded -addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded -addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded -addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded -addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded - --- negative ulps -addx480 add -1 77e-7 -> -0.9999923 -addx481 add -1 77e-8 -> -0.99999923 -addx482 add -1 77e-9 -> -0.999999923 -addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded -addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded -addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded -addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded -addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded - -addx490 add -10 77e-7 -> -9.9999923 -addx491 add -10 77e-8 -> -9.99999923 -addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded -addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded -addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded -addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded -addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded -addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded - -addx500 add 77e-7 -1 -> -0.9999923 -addx501 add 77e-8 -1 -> -0.99999923 -addx502 add 77e-9 -1 -> -0.999999923 -addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded -addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded -addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded -addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded -addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded - -addx510 add 77e-7 -10 -> -9.9999923 -addx511 add 77e-8 -10 -> -9.99999923 -addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded -addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded -addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded -addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded -addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded -addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded - - --- long operands -maxexponent: 999 -minexponent: -999 -precision: 9 -addx521 add 12345678000 0 -> 1.23456780E+10 Rounded -addx522 add 0 12345678000 -> 1.23456780E+10 Rounded -addx523 add 1234567800 0 -> 1.23456780E+9 Rounded -addx524 add 0 1234567800 -> 1.23456780E+9 Rounded -addx525 add 1234567890 0 -> 1.23456789E+9 Rounded -addx526 add 0 1234567890 -> 1.23456789E+9 Rounded -addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded -addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded -addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded -addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded -addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded -addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded - -precision: 15 --- still checking -addx541 add 12345678000 0 -> 12345678000 -addx542 add 0 12345678000 -> 12345678000 -addx543 add 1234567800 0 -> 1234567800 -addx544 add 0 1234567800 -> 1234567800 -addx545 add 1234567890 0 -> 1234567890 -addx546 add 0 1234567890 -> 1234567890 -addx547 add 1234567891 0 -> 1234567891 -addx548 add 0 1234567891 -> 1234567891 -addx549 add 12345678901 0 -> 12345678901 -addx550 add 0 12345678901 -> 12345678901 -addx551 add 1234567896 0 -> 1234567896 -addx552 add 0 1234567896 -> 1234567896 - --- verify a query -precision: 16 -maxExponent: +394 -minExponent: -393 -rounding: down -addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded -addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded --- and using decimal64 bounds (see also ddadd.decTest) -precision: 16 -maxExponent: +384 -minExponent: -383 -rounding: down -addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded -addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded - - --- some more residue effects with extreme rounding -precision: 9 -rounding: half_up -addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded -rounding: half_even -addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded -rounding: half_down -addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded -rounding: floor -addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded -rounding: ceiling -addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded -rounding: up -addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded -rounding: down -addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded - -rounding: half_up -addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded -rounding: half_even -addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded -rounding: half_down -addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded -rounding: floor -addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded -rounding: ceiling -addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded -rounding: up -addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded -rounding: down -addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded - -rounding: half_up -addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded -rounding: half_even -addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded -rounding: half_down -addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded -rounding: floor -addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded -rounding: ceiling -addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded -rounding: up -addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded -rounding: down -addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded - -rounding: half_up -addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded -rounding: half_even -addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded -rounding: half_down -addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded -rounding: floor -addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded -rounding: ceiling -addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded -rounding: up -addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded -rounding: down -addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded - -rounding: half_up -addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded -rounding: half_even -addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded -rounding: half_down -addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded -rounding: floor -addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded -rounding: ceiling -addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded -rounding: up -addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded -rounding: down -addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded - -rounding: half_up -addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded -rounding: half_even -addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded -rounding: half_down -addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded -rounding: floor -addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded -rounding: ceiling -addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded -rounding: up -addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded -rounding: down -addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded - --- long operand triangle -rounding: half_up -precision: 37 -addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538 -precision: 36 -addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded -precision: 35 -addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded -precision: 34 -addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded -precision: 33 -addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded -precision: 32 -addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded -precision: 31 -addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded -precision: 30 -addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded -precision: 29 -addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded -precision: 28 -addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded -precision: 27 -addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded -precision: 26 -addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded -precision: 25 -addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded -precision: 24 -addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded -precision: 23 -addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded -precision: 22 -addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded -precision: 21 -addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded -precision: 20 -addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded -precision: 19 -addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded -precision: 18 -addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded -precision: 17 -addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded -precision: 16 -addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded -precision: 15 -addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded -precision: 14 -addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded -precision: 13 -addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded -precision: 12 -addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded -precision: 11 -addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded -precision: 10 -addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded -precision: 9 -addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded -precision: 8 -addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded -precision: 7 -addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded -precision: 6 -addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded -precision: 5 -addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded -precision: 4 -addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded -precision: 3 -addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded -precision: 2 -addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded -precision: 1 -addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded - --- more zeros, etc. -rounding: half_up -precision: 9 - -addx701 add 5.00 1.00E-3 -> 5.00100 -addx702 add 00.00 0.000 -> 0.000 -addx703 add 00.00 0E-3 -> 0.000 -addx704 add 0E-3 00.00 -> 0.000 - -addx710 add 0E+3 00.00 -> 0.00 -addx711 add 0E+3 00.0 -> 0.0 -addx712 add 0E+3 00. -> 0 -addx713 add 0E+3 00.E+1 -> 0E+1 -addx714 add 0E+3 00.E+2 -> 0E+2 -addx715 add 0E+3 00.E+3 -> 0E+3 -addx716 add 0E+3 00.E+4 -> 0E+3 -addx717 add 0E+3 00.E+5 -> 0E+3 -addx718 add 0E+3 -00.0 -> 0.0 -addx719 add 0E+3 -00. -> 0 -addx731 add 0E+3 -00.E+1 -> 0E+1 - -addx720 add 00.00 0E+3 -> 0.00 -addx721 add 00.0 0E+3 -> 0.0 -addx722 add 00. 0E+3 -> 0 -addx723 add 00.E+1 0E+3 -> 0E+1 -addx724 add 00.E+2 0E+3 -> 0E+2 -addx725 add 00.E+3 0E+3 -> 0E+3 -addx726 add 00.E+4 0E+3 -> 0E+3 -addx727 add 00.E+5 0E+3 -> 0E+3 -addx728 add -00.00 0E+3 -> 0.00 -addx729 add -00.0 0E+3 -> 0.0 -addx730 add -00. 0E+3 -> 0 - -addx732 add 0 0 -> 0 -addx733 add 0 -0 -> 0 -addx734 add -0 0 -> 0 -addx735 add -0 -0 -> -0 -- IEEE 854 special case - -addx736 add 1 -1 -> 0 -addx737 add -1 -1 -> -2 -addx738 add 1 1 -> 2 -addx739 add -1 1 -> 0 - -addx741 add 0 -1 -> -1 -addx742 add -0 -1 -> -1 -addx743 add 0 1 -> 1 -addx744 add -0 1 -> 1 -addx745 add -1 0 -> -1 -addx746 add -1 -0 -> -1 -addx747 add 1 0 -> 1 -addx748 add 1 -0 -> 1 - -addx751 add 0.0 -1 -> -1.0 -addx752 add -0.0 -1 -> -1.0 -addx753 add 0.0 1 -> 1.0 -addx754 add -0.0 1 -> 1.0 -addx755 add -1.0 0 -> -1.0 -addx756 add -1.0 -0 -> -1.0 -addx757 add 1.0 0 -> 1.0 -addx758 add 1.0 -0 -> 1.0 - -addx761 add 0 -1.0 -> -1.0 -addx762 add -0 -1.0 -> -1.0 -addx763 add 0 1.0 -> 1.0 -addx764 add -0 1.0 -> 1.0 -addx765 add -1 0.0 -> -1.0 -addx766 add -1 -0.0 -> -1.0 -addx767 add 1 0.0 -> 1.0 -addx768 add 1 -0.0 -> 1.0 - -addx771 add 0.0 -1.0 -> -1.0 -addx772 add -0.0 -1.0 -> -1.0 -addx773 add 0.0 1.0 -> 1.0 -addx774 add -0.0 1.0 -> 1.0 -addx775 add -1.0 0.0 -> -1.0 -addx776 add -1.0 -0.0 -> -1.0 -addx777 add 1.0 0.0 -> 1.0 -addx778 add 1.0 -0.0 -> 1.0 - --- Specials -addx780 add -Inf -Inf -> -Infinity -addx781 add -Inf -1000 -> -Infinity -addx782 add -Inf -1 -> -Infinity -addx783 add -Inf -0 -> -Infinity -addx784 add -Inf 0 -> -Infinity -addx785 add -Inf 1 -> -Infinity -addx786 add -Inf 1000 -> -Infinity -addx787 add -1000 -Inf -> -Infinity -addx788 add -Inf -Inf -> -Infinity -addx789 add -1 -Inf -> -Infinity -addx790 add -0 -Inf -> -Infinity -addx791 add 0 -Inf -> -Infinity -addx792 add 1 -Inf -> -Infinity -addx793 add 1000 -Inf -> -Infinity -addx794 add Inf -Inf -> NaN Invalid_operation - -addx800 add Inf -Inf -> NaN Invalid_operation -addx801 add Inf -1000 -> Infinity -addx802 add Inf -1 -> Infinity -addx803 add Inf -0 -> Infinity -addx804 add Inf 0 -> Infinity -addx805 add Inf 1 -> Infinity -addx806 add Inf 1000 -> Infinity -addx807 add Inf Inf -> Infinity -addx808 add -1000 Inf -> Infinity -addx809 add -Inf Inf -> NaN Invalid_operation -addx810 add -1 Inf -> Infinity -addx811 add -0 Inf -> Infinity -addx812 add 0 Inf -> Infinity -addx813 add 1 Inf -> Infinity -addx814 add 1000 Inf -> Infinity -addx815 add Inf Inf -> Infinity - -addx821 add NaN -Inf -> NaN -addx822 add NaN -1000 -> NaN -addx823 add NaN -1 -> NaN -addx824 add NaN -0 -> NaN -addx825 add NaN 0 -> NaN -addx826 add NaN 1 -> NaN -addx827 add NaN 1000 -> NaN -addx828 add NaN Inf -> NaN -addx829 add NaN NaN -> NaN -addx830 add -Inf NaN -> NaN -addx831 add -1000 NaN -> NaN -addx832 add -1 NaN -> NaN -addx833 add -0 NaN -> NaN -addx834 add 0 NaN -> NaN -addx835 add 1 NaN -> NaN -addx836 add 1000 NaN -> NaN -addx837 add Inf NaN -> NaN - -addx841 add sNaN -Inf -> NaN Invalid_operation -addx842 add sNaN -1000 -> NaN Invalid_operation -addx843 add sNaN -1 -> NaN Invalid_operation -addx844 add sNaN -0 -> NaN Invalid_operation -addx845 add sNaN 0 -> NaN Invalid_operation -addx846 add sNaN 1 -> NaN Invalid_operation -addx847 add sNaN 1000 -> NaN Invalid_operation -addx848 add sNaN NaN -> NaN Invalid_operation -addx849 add sNaN sNaN -> NaN Invalid_operation -addx850 add NaN sNaN -> NaN Invalid_operation -addx851 add -Inf sNaN -> NaN Invalid_operation -addx852 add -1000 sNaN -> NaN Invalid_operation -addx853 add -1 sNaN -> NaN Invalid_operation -addx854 add -0 sNaN -> NaN Invalid_operation -addx855 add 0 sNaN -> NaN Invalid_operation -addx856 add 1 sNaN -> NaN Invalid_operation -addx857 add 1000 sNaN -> NaN Invalid_operation -addx858 add Inf sNaN -> NaN Invalid_operation -addx859 add NaN sNaN -> NaN Invalid_operation - --- propagating NaNs -addx861 add NaN1 -Inf -> NaN1 -addx862 add +NaN2 -1000 -> NaN2 -addx863 add NaN3 1000 -> NaN3 -addx864 add NaN4 Inf -> NaN4 -addx865 add NaN5 +NaN6 -> NaN5 -addx866 add -Inf NaN7 -> NaN7 -addx867 add -1000 NaN8 -> NaN8 -addx868 add 1000 NaN9 -> NaN9 -addx869 add Inf +NaN10 -> NaN10 -addx871 add sNaN11 -Inf -> NaN11 Invalid_operation -addx872 add sNaN12 -1000 -> NaN12 Invalid_operation -addx873 add sNaN13 1000 -> NaN13 Invalid_operation -addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation -addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation -addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation -addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation -addx878 add -1000 sNaN21 -> NaN21 Invalid_operation -addx879 add 1000 sNaN22 -> NaN22 Invalid_operation -addx880 add Inf sNaN23 -> NaN23 Invalid_operation -addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation -addx882 add -NaN26 NaN28 -> -NaN26 -addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation -addx884 add 1000 -NaN30 -> -NaN30 -addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation - --- overflow, underflow and subnormal tests -maxexponent: 999999999 -minexponent: -999999999 -precision: 9 -addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded -addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded -addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal -addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal -addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal -addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal -addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded -addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded -addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal -addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal -addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal -addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal -addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999 -addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999 - -precision: 3 -addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded -addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded -addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded -addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded - -precision: 3 -maxexponent: 999 -minexponent: -999 -addx910 add 1.00E-999 0 -> 1.00E-999 -addx911 add 0.1E-999 0 -> 1E-1000 Subnormal -addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal -addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded -addx914 add 0.01E-999 0 -> 1E-1001 Subnormal --- next is rounded to Nmin -addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow -addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow -addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow -addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped -addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped -addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped - -addx930 add -1.00E-999 0 -> -1.00E-999 -addx931 add -0.1E-999 0 -> -1E-1000 Subnormal -addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal -addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded -addx934 add -0.01E-999 0 -> -1E-1001 Subnormal --- next is rounded to Nmin -addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow -addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow -addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow -addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped -addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped -addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped - --- some non-zero subnormal adds -addx950 add 1.00E-999 0.1E-999 -> 1.10E-999 -addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal -addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal -addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded -addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal -addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded -addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow -addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow -addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow -addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow -addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow --- negatives... -addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal -addx962 add 0.1E-999 -0.1E-999 -> 0E-1000 -addx963 add 0.10E-999 -0.1E-999 -> 0E-1001 -addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped -addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal -addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow -addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped -addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow -addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow -addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow -addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow - --- some 'real' numbers -maxExponent: 384 -minExponent: -383 -precision: 8 -addx566 add 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal -precision: 7 -addx567 add 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal -precision: 6 -addx568 add 99999061735E-394 0E-394 -> 9.9999E-384 Inexact Rounded Underflow Subnormal - --- now the case where we can get underflow but the result is normal --- [note this can't happen if the operands are also bounded, as we --- cannot represent 1E-399, for example] -precision: 16 -rounding: half_up -maxExponent: 384 -minExponent: -383 - -addx571 add 1E-383 0 -> 1E-383 -addx572 add 1E-384 0 -> 1E-384 Subnormal -addx573 add 1E-383 1E-384 -> 1.1E-383 -addx574 subtract 1E-383 1E-384 -> 9E-384 Subnormal - --- Here we explore the boundary of rounding a subnormal to Nmin -addx575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal -addx576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal -addx577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded -addx578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded -addx579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded -addx580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded - --- check overflow edge case -precision: 7 -rounding: half_up -maxExponent: 96 -minExponent: -95 -addx972 apply 9.999999E+96 -> 9.999999E+96 -addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded -addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded -addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded -addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded -addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded -addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded -addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded -addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded -addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded -addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded -addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded -addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded - -addx985 apply -9.999999E+96 -> -9.999999E+96 -addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded -addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded -addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded -addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded -addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded -addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded -addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded -addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded -addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded -addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded -addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded -addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded - --- check for double-rounded subnormals -precision: 5 -maxexponent: 79 -minexponent: -79 --- Add: lhs and rhs 0 -addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow -addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow -addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow -addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow -addx1005 add 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow -addx1006 add 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow - --- Add: lhs >> rhs and vice versa -addx1011 add 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow -addx1012 add 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow -addx1013 add 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow -addx1014 add 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow -addx1015 add 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow -addx1016 add 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow - --- Add: lhs + rhs addition carried out -addx1021 add 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow -addx1022 add 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow -addx1023 add 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow -addx1024 add 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow -addx1025 add 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow -addx1026 add 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow - --- And for round down full and subnormal results -precision: 16 -maxExponent: +384 -minExponent: -383 -rounding: down - -addx1100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact -addx1101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact -addx1103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact -addx1104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact -addx1105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact -addx1106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact -addx1107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact -addx1108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact -addx1109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact - -rounding: ceiling -addx1110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact -addx1111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact -addx1113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact -addx1114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact -addx1115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact -addx1116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact -addx1117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact -addx1118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact -addx1119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact -addx1120 add +1e-383 -1e+2 -> -99.99999999999999 Rounded Inexact -addx1121 add +1e-383 -1e+1 -> -9.999999999999999 Rounded Inexact -addx1123 add +1e-383 -1 -> -0.9999999999999999 Rounded Inexact -addx1124 add +1e-383 -1e-1 -> -0.09999999999999999 Rounded Inexact -addx1125 add +1e-383 -1e-2 -> -0.009999999999999999 Rounded Inexact -addx1126 add +1e-383 -1e-3 -> -0.0009999999999999999 Rounded Inexact -addx1127 add +1e-383 -1e-4 -> -0.00009999999999999999 Rounded Inexact -addx1128 add +1e-383 -1e-5 -> -0.000009999999999999999 Rounded Inexact -addx1129 add +1e-383 -1e-6 -> -9.999999999999999E-7 Rounded Inexact - -rounding: down -precision: 7 -maxExponent: +96 -minExponent: -95 -addx1130 add 1 -1e-200 -> 0.9999999 Rounded Inexact --- subnormal boundary -addx1131 add 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact -addx1132 add 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact -addx1133 add 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow -addx1134 add 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow -addx1135 add 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow -addx1136 add 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow -addx1137 add 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal -addx1138 add 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow -addx1139 add 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow -addx1140 add 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow -addx1141 add 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow -addx1142 add 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped -addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped -addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped - -addx1151 add 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow -addx1152 add 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow -addx1153 add 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow -addx1154 add 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped -addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped -addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped -addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped - -addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped -addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped - --- tests based on Gunnar Degnbol's edge case -precision: 15 -rounding: half_up -maxExponent: 384 -minexponent: -383 - -addx1200 add 1E15 -0.5 -> 1.00000000000000E+15 Inexact Rounded -addx1201 add 1E15 -0.50 -> 1.00000000000000E+15 Inexact Rounded -addx1210 add 1E15 -0.51 -> 999999999999999 Inexact Rounded -addx1211 add 1E15 -0.501 -> 999999999999999 Inexact Rounded -addx1212 add 1E15 -0.5001 -> 999999999999999 Inexact Rounded -addx1213 add 1E15 -0.50001 -> 999999999999999 Inexact Rounded -addx1214 add 1E15 -0.500001 -> 999999999999999 Inexact Rounded -addx1215 add 1E15 -0.5000001 -> 999999999999999 Inexact Rounded -addx1216 add 1E15 -0.50000001 -> 999999999999999 Inexact Rounded -addx1217 add 1E15 -0.500000001 -> 999999999999999 Inexact Rounded -addx1218 add 1E15 -0.5000000001 -> 999999999999999 Inexact Rounded -addx1219 add 1E15 -0.50000000001 -> 999999999999999 Inexact Rounded -addx1220 add 1E15 -0.500000000001 -> 999999999999999 Inexact Rounded -addx1221 add 1E15 -0.5000000000001 -> 999999999999999 Inexact Rounded -addx1222 add 1E15 -0.50000000000001 -> 999999999999999 Inexact Rounded -addx1223 add 1E15 -0.500000000000001 -> 999999999999999 Inexact Rounded -addx1224 add 1E15 -0.5000000000000001 -> 999999999999999 Inexact Rounded -addx1225 add 1E15 -0.5000000000000000 -> 1.00000000000000E+15 Inexact Rounded -addx1230 add 1E15 -5000000.000000001 -> 999999995000000 Inexact Rounded - -precision: 16 - -addx1300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded -addx1310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded -addx1311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded -addx1312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded -addx1313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded -addx1314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded -addx1315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded -addx1316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded -addx1317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded -addx1318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded -addx1319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded -addx1320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded -addx1321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded -addx1322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded -addx1323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded -addx1324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded -addx1325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded -addx1333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded -addx1334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded -addx1335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded -addx1336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded -addx1337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded -addx1338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded -addx1339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded - -addx1340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded -addx1341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded - -addx1349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded -addx1350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded -addx1351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded -addx1352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded -addx1353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded -addx1354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded -addx1355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded -addx1356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded -addx1357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded -addx1358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded -addx1359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded -addx1360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded -addx1361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded -addx1362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded -addx1363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded -addx1364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded -addx1365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded -addx1373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded -addx1374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded -addx1375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded -addx1376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded -addx1377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded -addx1378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded -addx1379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded -addx1380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded -addx1381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded -addx1382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded -addx1383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded -addx1384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded -addx1385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded -addx1386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded -addx1387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded -addx1388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded -addx1389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded -addx1390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded -addx1391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded -addx1392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded -addx1393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded -addx1394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded -addx1395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded -addx1396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded - --- More GD edge cases, where difference between the unadjusted --- exponents is larger than the maximum precision and one side is 0 -precision: 15 -rounding: half_up -maxExponent: 384 -minexponent: -383 - -addx1400 add 0 1.23456789012345 -> 1.23456789012345 -addx1401 add 0 1.23456789012345E-1 -> 0.123456789012345 -addx1402 add 0 1.23456789012345E-2 -> 0.0123456789012345 -addx1403 add 0 1.23456789012345E-3 -> 0.00123456789012345 -addx1404 add 0 1.23456789012345E-4 -> 0.000123456789012345 -addx1405 add 0 1.23456789012345E-5 -> 0.0000123456789012345 -addx1406 add 0 1.23456789012345E-6 -> 0.00000123456789012345 -addx1407 add 0 1.23456789012345E-7 -> 1.23456789012345E-7 -addx1408 add 0 1.23456789012345E-8 -> 1.23456789012345E-8 -addx1409 add 0 1.23456789012345E-9 -> 1.23456789012345E-9 -addx1410 add 0 1.23456789012345E-10 -> 1.23456789012345E-10 -addx1411 add 0 1.23456789012345E-11 -> 1.23456789012345E-11 -addx1412 add 0 1.23456789012345E-12 -> 1.23456789012345E-12 -addx1413 add 0 1.23456789012345E-13 -> 1.23456789012345E-13 -addx1414 add 0 1.23456789012345E-14 -> 1.23456789012345E-14 -addx1415 add 0 1.23456789012345E-15 -> 1.23456789012345E-15 -addx1416 add 0 1.23456789012345E-16 -> 1.23456789012345E-16 -addx1417 add 0 1.23456789012345E-17 -> 1.23456789012345E-17 -addx1418 add 0 1.23456789012345E-18 -> 1.23456789012345E-18 -addx1419 add 0 1.23456789012345E-19 -> 1.23456789012345E-19 - --- same, precision 16.. -precision: 16 -addx1420 add 0 1.123456789012345 -> 1.123456789012345 -addx1421 add 0 1.123456789012345E-1 -> 0.1123456789012345 -addx1422 add 0 1.123456789012345E-2 -> 0.01123456789012345 -addx1423 add 0 1.123456789012345E-3 -> 0.001123456789012345 -addx1424 add 0 1.123456789012345E-4 -> 0.0001123456789012345 -addx1425 add 0 1.123456789012345E-5 -> 0.00001123456789012345 -addx1426 add 0 1.123456789012345E-6 -> 0.000001123456789012345 -addx1427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7 -addx1428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8 -addx1429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9 -addx1430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10 -addx1431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11 -addx1432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12 -addx1433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13 -addx1434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14 -addx1435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15 -addx1436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16 -addx1437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17 -addx1438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18 -addx1439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19 - --- same, reversed 0 -addx1440 add 1.123456789012345 0 -> 1.123456789012345 -addx1441 add 1.123456789012345E-1 0 -> 0.1123456789012345 -addx1442 add 1.123456789012345E-2 0 -> 0.01123456789012345 -addx1443 add 1.123456789012345E-3 0 -> 0.001123456789012345 -addx1444 add 1.123456789012345E-4 0 -> 0.0001123456789012345 -addx1445 add 1.123456789012345E-5 0 -> 0.00001123456789012345 -addx1446 add 1.123456789012345E-6 0 -> 0.000001123456789012345 -addx1447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7 -addx1448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8 -addx1449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9 -addx1450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10 -addx1451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11 -addx1452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12 -addx1453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13 -addx1454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14 -addx1455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15 -addx1456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16 -addx1457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17 -addx1458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18 -addx1459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19 - --- same, Es on the 0 -addx1460 add 1.123456789012345 0E-0 -> 1.123456789012345 -addx1461 add 1.123456789012345 0E-1 -> 1.123456789012345 -addx1462 add 1.123456789012345 0E-2 -> 1.123456789012345 -addx1463 add 1.123456789012345 0E-3 -> 1.123456789012345 -addx1464 add 1.123456789012345 0E-4 -> 1.123456789012345 -addx1465 add 1.123456789012345 0E-5 -> 1.123456789012345 -addx1466 add 1.123456789012345 0E-6 -> 1.123456789012345 -addx1467 add 1.123456789012345 0E-7 -> 1.123456789012345 -addx1468 add 1.123456789012345 0E-8 -> 1.123456789012345 -addx1469 add 1.123456789012345 0E-9 -> 1.123456789012345 -addx1470 add 1.123456789012345 0E-10 -> 1.123456789012345 -addx1471 add 1.123456789012345 0E-11 -> 1.123456789012345 -addx1472 add 1.123456789012345 0E-12 -> 1.123456789012345 -addx1473 add 1.123456789012345 0E-13 -> 1.123456789012345 -addx1474 add 1.123456789012345 0E-14 -> 1.123456789012345 -addx1475 add 1.123456789012345 0E-15 -> 1.123456789012345 --- next four flag Rounded because the 0 extends the result -addx1476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded -addx1477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded -addx1478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded -addx1479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded - --- sum of two opposite-sign operands is exactly 0 and floor => -0 -precision: 16 -maxExponent: 384 -minexponent: -383 - -rounding: half_up --- exact zeros from zeros -addx1500 add 0 0E-19 -> 0E-19 -addx1501 add -0 0E-19 -> 0E-19 -addx1502 add 0 -0E-19 -> 0E-19 -addx1503 add -0 -0E-19 -> -0E-19 -addx1504 add 0E-400 0E-19 -> 0E-398 Clamped -addx1505 add -0E-400 0E-19 -> 0E-398 Clamped -addx1506 add 0E-400 -0E-19 -> 0E-398 Clamped -addx1507 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx1511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped --- some exact zeros from non-zeros -addx1515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1516 add -1E-401 1E-401 -> 0E-398 Clamped -addx1517 add 1E-401 -1E-401 -> 0E-398 Clamped -addx1518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped - -rounding: half_down --- exact zeros from zeros -addx1520 add 0 0E-19 -> 0E-19 -addx1521 add -0 0E-19 -> 0E-19 -addx1522 add 0 -0E-19 -> 0E-19 -addx1523 add -0 -0E-19 -> -0E-19 -addx1524 add 0E-400 0E-19 -> 0E-398 Clamped -addx1525 add -0E-400 0E-19 -> 0E-398 Clamped -addx1526 add 0E-400 -0E-19 -> 0E-398 Clamped -addx1527 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx1531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped --- some exact zeros from non-zeros -addx1535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1536 add -1E-401 1E-401 -> 0E-398 Clamped -addx1537 add 1E-401 -1E-401 -> 0E-398 Clamped -addx1538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped - -rounding: half_even --- exact zeros from zeros -addx1540 add 0 0E-19 -> 0E-19 -addx1541 add -0 0E-19 -> 0E-19 -addx1542 add 0 -0E-19 -> 0E-19 -addx1543 add -0 -0E-19 -> -0E-19 -addx1544 add 0E-400 0E-19 -> 0E-398 Clamped -addx1545 add -0E-400 0E-19 -> 0E-398 Clamped -addx1546 add 0E-400 -0E-19 -> 0E-398 Clamped -addx1547 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx1551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped --- some exact zeros from non-zeros -addx1555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1556 add -1E-401 1E-401 -> 0E-398 Clamped -addx1557 add 1E-401 -1E-401 -> 0E-398 Clamped -addx1558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped - -rounding: up --- exact zeros from zeros -addx1560 add 0 0E-19 -> 0E-19 -addx1561 add -0 0E-19 -> 0E-19 -addx1562 add 0 -0E-19 -> 0E-19 -addx1563 add -0 -0E-19 -> -0E-19 -addx1564 add 0E-400 0E-19 -> 0E-398 Clamped -addx1565 add -0E-400 0E-19 -> 0E-398 Clamped -addx1566 add 0E-400 -0E-19 -> 0E-398 Clamped -addx1567 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx1571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow -addx1572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow -addx1573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow -addx1574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow --- some exact zeros from non-zeros -addx1575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow -addx1576 add -1E-401 1E-401 -> 0E-398 Clamped -addx1577 add 1E-401 -1E-401 -> 0E-398 Clamped -addx1578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow - -rounding: down --- exact zeros from zeros -addx1580 add 0 0E-19 -> 0E-19 -addx1581 add -0 0E-19 -> 0E-19 -addx1582 add 0 -0E-19 -> 0E-19 -addx1583 add -0 -0E-19 -> -0E-19 -addx1584 add 0E-400 0E-19 -> 0E-398 Clamped -addx1585 add -0E-400 0E-19 -> 0E-398 Clamped -addx1586 add 0E-400 -0E-19 -> 0E-398 Clamped -addx1587 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx1591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped --- some exact zeros from non-zeros -addx1595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1596 add -1E-401 1E-401 -> 0E-398 Clamped -addx1597 add 1E-401 -1E-401 -> 0E-398 Clamped -addx1598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped - -rounding: ceiling --- exact zeros from zeros -addx1600 add 0 0E-19 -> 0E-19 -addx1601 add -0 0E-19 -> 0E-19 -addx1602 add 0 -0E-19 -> 0E-19 -addx1603 add -0 -0E-19 -> -0E-19 -addx1604 add 0E-400 0E-19 -> 0E-398 Clamped -addx1605 add -0E-400 0E-19 -> 0E-398 Clamped -addx1606 add 0E-400 -0E-19 -> 0E-398 Clamped -addx1607 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx1611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow -addx1612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow -addx1613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped --- some exact zeros from non-zeros -addx1615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow -addx1616 add -1E-401 1E-401 -> 0E-398 Clamped -addx1617 add 1E-401 -1E-401 -> 0E-398 Clamped -addx1618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped - --- and the extra-special ugly case; unusual minuses marked by -- * -rounding: floor --- exact zeros from zeros -addx1620 add 0 0E-19 -> 0E-19 -addx1621 add -0 0E-19 -> -0E-19 -- * -addx1622 add 0 -0E-19 -> -0E-19 -- * -addx1623 add -0 -0E-19 -> -0E-19 -addx1624 add 0E-400 0E-19 -> 0E-398 Clamped -addx1625 add -0E-400 0E-19 -> -0E-398 Clamped -- * -addx1626 add 0E-400 -0E-19 -> -0E-398 Clamped -- * -addx1627 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx1631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow -addx1634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow --- some exact zeros from non-zeros -addx1635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx1636 add -1E-401 1E-401 -> -0E-398 Clamped -- * -addx1637 add 1E-401 -1E-401 -> -0E-398 Clamped -- * -addx1638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow - --- BigDecimal problem testcases 2006.01.23 -precision: 16 -maxExponent: 384 -minexponent: -383 - -rounding: down -precision: 7 -addx1651 add 10001E+2 -2E+1 -> 1.00008E+6 -precision: 6 -addx1652 add 10001E+2 -2E+1 -> 1.00008E+6 -precision: 5 -addx1653 add 10001E+2 -2E+1 -> 1.0000E+6 Inexact Rounded -precision: 4 -addx1654 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded -precision: 3 -addx1655 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded -precision: 2 -addx1656 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded -precision: 1 -addx1657 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded - -rounding: half_even -precision: 7 -addx1661 add 10001E+2 -2E+1 -> 1.00008E+6 -precision: 6 -addx1662 add 10001E+2 -2E+1 -> 1.00008E+6 -precision: 5 -addx1663 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded -precision: 4 -addx1664 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded -precision: 3 -addx1665 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded -precision: 2 -addx1666 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded -precision: 1 -addx1667 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded - -rounding: up -precision: 7 -addx1671 add 10001E+2 -2E+1 -> 1.00008E+6 -precision: 6 -addx1672 add 10001E+2 -2E+1 -> 1.00008E+6 -precision: 5 -addx1673 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded -precision: 4 -addx1674 add 10001E+2 -2E+1 -> 1.001E+6 Inexact Rounded -precision: 3 -addx1675 add 10001E+2 -2E+1 -> 1.01E+6 Inexact Rounded -precision: 2 -addx1676 add 10001E+2 -2E+1 -> 1.1E+6 Inexact Rounded -precision: 1 -addx1677 add 10001E+2 -2E+1 -> 2E+6 Inexact Rounded - -precision: 34 -rounding: half_up -maxExponent: 6144 -minExponent: -6143 --- Examples from SQL proposal (Krishna Kulkarni) -addx1701 add 130E-2 120E-2 -> 2.50 -addx1702 add 130E-2 12E-1 -> 2.50 -addx1703 add 130E-2 1E0 -> 2.30 -addx1704 add 1E2 1E4 -> 1.01E+4 -addx1705 subtract 130E-2 120E-2 -> 0.10 -addx1706 subtract 130E-2 12E-1 -> 0.10 -addx1707 subtract 130E-2 1E0 -> 0.30 -addx1708 subtract 1E2 1E4 -> -9.9E+3 - ------------------------------------------------------------------------- --- Same as above, using decimal64 default parameters -- ------------------------------------------------------------------------- -precision: 16 -rounding: half_even -maxExponent: 384 -minexponent: -383 - --- [first group are 'quick confidence check'] -addx6001 add 1 1 -> 2 -addx6002 add 2 3 -> 5 -addx6003 add '5.75' '3.3' -> 9.05 -addx6004 add '5' '-3' -> 2 -addx6005 add '-5' '-3' -> -8 -addx6006 add '-7' '2.5' -> -4.5 -addx6007 add '0.7' '0.3' -> 1.0 -addx6008 add '1.25' '1.25' -> 2.50 -addx6009 add '1.23456789' '1.00000000' -> '2.23456789' -addx6010 add '1.23456789' '1.00000011' -> '2.23456800' - -addx6011 add '0.44444444444444444' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded -addx6012 add '0.44444444444444440' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded -addx6013 add '0.44444444444444444' '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded -addx6014 add '0.444444444444444449' '0' -> '0.4444444444444444' Inexact Rounded -addx6015 add '0.4444444444444444499' '0' -> '0.4444444444444444' Inexact Rounded -addx6016 add '0.44444444444444444999' '0' -> '0.4444444444444444' Inexact Rounded -addx6017 add '0.44444444444444445000' '0' -> '0.4444444444444444' Inexact Rounded -addx6018 add '0.44444444444444445001' '0' -> '0.4444444444444445' Inexact Rounded -addx6019 add '0.4444444444444444501' '0' -> '0.4444444444444445' Inexact Rounded -addx6020 add '0.444444444444444451' '0' -> '0.4444444444444445' Inexact Rounded - -addx6021 add 0 1 -> 1 -addx6022 add 1 1 -> 2 -addx6023 add 2 1 -> 3 -addx6024 add 3 1 -> 4 -addx6025 add 4 1 -> 5 -addx6026 add 5 1 -> 6 -addx6027 add 6 1 -> 7 -addx6028 add 7 1 -> 8 -addx6029 add 8 1 -> 9 -addx6030 add 9 1 -> 10 - --- some carrying effects -addx6031 add '0.9998' '0.0000' -> '0.9998' -addx6032 add '0.9998' '0.0001' -> '0.9999' -addx6033 add '0.9998' '0.0002' -> '1.0000' -addx6034 add '0.9998' '0.0003' -> '1.0001' - -addx6035 add '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded -addx6036 add '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded -addx6037 add '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded -addx6038 add '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded -addx6039 add '700000' '10000e+16' -> '1.000000000000007E+20' Rounded - --- symmetry: -addx6040 add '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded -addx6041 add '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded -addx6042 add '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded -addx6044 add '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded -addx6045 add '10000e+16' '700000' -> '1.000000000000007E+20' Rounded - -addx6046 add '10000e+9' '7' -> '10000000000007' -addx6047 add '10000e+9' '70' -> '10000000000070' -addx6048 add '10000e+9' '700' -> '10000000000700' -addx6049 add '10000e+9' '7000' -> '10000000007000' -addx6050 add '10000e+9' '70000' -> '10000000070000' -addx6051 add '10000e+9' '700000' -> '10000000700000' - --- examples from decarith -addx6053 add '12' '7.00' -> '19.00' -addx6054 add '1.3' '-1.07' -> '0.23' -addx6055 add '1.3' '-1.30' -> '0.00' -addx6056 add '1.3' '-2.07' -> '-0.77' -addx6057 add '1E+2' '1E+4' -> '1.01E+4' - --- from above -addx6060 add 1 '0.1' -> '1.1' -addx6061 add 1 '0.01' -> '1.01' -addx6062 add 1 '0.001' -> '1.001' -addx6063 add 1 '0.0001' -> '1.0001' -addx6064 add 1 '0.00001' -> '1.00001' -addx6065 add 1 '0.000001' -> '1.000001' -addx6066 add 1 '0.0000001' -> '1.0000001' -addx6067 add 1 '0.00000001' -> '1.00000001' - --- cancellation to integer -addx6068 add 99999999999999123456789 -99999999999999E+9 -> 123456789 --- similar from FMA fun -addx6069 add "-1234567890123455.234567890123454" "1234567890123456" -> 0.765432109876546 - --- some funny zeros [in case of bad signum] -addx6070 add 1 0 -> 1 -addx6071 add 1 0. -> 1 -addx6072 add 1 .0 -> 1.0 -addx6073 add 1 0.0 -> 1.0 -addx6074 add 1 0.00 -> 1.00 -addx6075 add 0 1 -> 1 -addx6076 add 0. 1 -> 1 -addx6077 add .0 1 -> 1.0 -addx6078 add 0.0 1 -> 1.0 -addx6079 add 0.00 1 -> 1.00 - --- some carries -addx6080 add 9999999999999998 1 -> 9999999999999999 -addx6081 add 9999999999999999 1 -> 1.000000000000000E+16 Rounded -addx6082 add 999999999999999 1 -> 1000000000000000 -addx6083 add 9999999999999 1 -> 10000000000000 -addx6084 add 99999999999 1 -> 100000000000 -addx6085 add 999999999 1 -> 1000000000 -addx6086 add 9999999 1 -> 10000000 -addx6087 add 99999 1 -> 100000 -addx6088 add 999 1 -> 1000 -addx6089 add 9 1 -> 10 - - --- more LHS swaps -addx6090 add '-56267E-10' 0 -> '-0.0000056267' -addx6091 add '-56267E-6' 0 -> '-0.056267' -addx6092 add '-56267E-5' 0 -> '-0.56267' -addx6093 add '-56267E-4' 0 -> '-5.6267' -addx6094 add '-56267E-3' 0 -> '-56.267' -addx6095 add '-56267E-2' 0 -> '-562.67' -addx6096 add '-56267E-1' 0 -> '-5626.7' -addx6097 add '-56267E-0' 0 -> '-56267' -addx6098 add '-5E-10' 0 -> '-5E-10' -addx6099 add '-5E-7' 0 -> '-5E-7' -addx6100 add '-5E-6' 0 -> '-0.000005' -addx6101 add '-5E-5' 0 -> '-0.00005' -addx6102 add '-5E-4' 0 -> '-0.0005' -addx6103 add '-5E-1' 0 -> '-0.5' -addx6104 add '-5E0' 0 -> '-5' -addx6105 add '-5E1' 0 -> '-50' -addx6106 add '-5E5' 0 -> '-500000' -addx6107 add '-5E15' 0 -> '-5000000000000000' -addx6108 add '-5E16' 0 -> '-5.000000000000000E+16' Rounded -addx6109 add '-5E17' 0 -> '-5.000000000000000E+17' Rounded -addx6110 add '-5E18' 0 -> '-5.000000000000000E+18' Rounded -addx6111 add '-5E100' 0 -> '-5.000000000000000E+100' Rounded - --- more RHS swaps -addx6113 add 0 '-56267E-10' -> '-0.0000056267' -addx6114 add 0 '-56267E-6' -> '-0.056267' -addx6116 add 0 '-56267E-5' -> '-0.56267' -addx6117 add 0 '-56267E-4' -> '-5.6267' -addx6119 add 0 '-56267E-3' -> '-56.267' -addx6120 add 0 '-56267E-2' -> '-562.67' -addx6121 add 0 '-56267E-1' -> '-5626.7' -addx6122 add 0 '-56267E-0' -> '-56267' -addx6123 add 0 '-5E-10' -> '-5E-10' -addx6124 add 0 '-5E-7' -> '-5E-7' -addx6125 add 0 '-5E-6' -> '-0.000005' -addx6126 add 0 '-5E-5' -> '-0.00005' -addx6127 add 0 '-5E-4' -> '-0.0005' -addx6128 add 0 '-5E-1' -> '-0.5' -addx6129 add 0 '-5E0' -> '-5' -addx6130 add 0 '-5E1' -> '-50' -addx6131 add 0 '-5E5' -> '-500000' -addx6132 add 0 '-5E15' -> '-5000000000000000' -addx6133 add 0 '-5E16' -> '-5.000000000000000E+16' Rounded -addx6134 add 0 '-5E17' -> '-5.000000000000000E+17' Rounded -addx6135 add 0 '-5E18' -> '-5.000000000000000E+18' Rounded -addx6136 add 0 '-5E100' -> '-5.000000000000000E+100' Rounded - --- related -addx6137 add 1 '0E-19' -> '1.000000000000000' Rounded -addx6138 add -1 '0E-19' -> '-1.000000000000000' Rounded -addx6139 add '0E-19' 1 -> '1.000000000000000' Rounded -addx6140 add '0E-19' -1 -> '-1.000000000000000' Rounded -addx6141 add 1E+11 0.0000 -> '100000000000.0000' -addx6142 add 1E+11 0.00000 -> '100000000000.0000' Rounded -addx6143 add 0.000 1E+12 -> '1000000000000.000' -addx6144 add 0.0000 1E+12 -> '1000000000000.000' Rounded - --- [some of the next group are really constructor tests] -addx6146 add '00.0' 0 -> '0.0' -addx6147 add '0.00' 0 -> '0.00' -addx6148 add 0 '0.00' -> '0.00' -addx6149 add 0 '00.0' -> '0.0' -addx6150 add '00.0' '0.00' -> '0.00' -addx6151 add '0.00' '00.0' -> '0.00' -addx6152 add '3' '.3' -> '3.3' -addx6153 add '3.' '.3' -> '3.3' -addx6154 add '3.0' '.3' -> '3.3' -addx6155 add '3.00' '.3' -> '3.30' -addx6156 add '3' '3' -> '6' -addx6157 add '3' '+3' -> '6' -addx6158 add '3' '-3' -> '0' -addx6159 add '0.3' '-0.3' -> '0.0' -addx6160 add '0.03' '-0.03' -> '0.00' - --- try borderline precision, with carries, etc. -addx6161 add '1E+13' '-1' -> '9999999999999' -addx6162 add '1E+13' '1.11' -> '10000000000001.11' -addx6163 add '1.11' '1E+13' -> '10000000000001.11' -addx6164 add '-1' '1E+13' -> '9999999999999' -addx6165 add '7E+13' '-1' -> '69999999999999' -addx6166 add '7E+13' '1.11' -> '70000000000001.11' -addx6167 add '1.11' '7E+13' -> '70000000000001.11' -addx6168 add '-1' '7E+13' -> '69999999999999' - --- 1234567890123456 1234567890123456 1 234567890123456 -addx6170 add '0.4444444444444444' '0.5555555555555563' -> '1.000000000000001' Inexact Rounded -addx6171 add '0.4444444444444444' '0.5555555555555562' -> '1.000000000000001' Inexact Rounded -addx6172 add '0.4444444444444444' '0.5555555555555561' -> '1.000000000000000' Inexact Rounded -addx6173 add '0.4444444444444444' '0.5555555555555560' -> '1.000000000000000' Inexact Rounded -addx6174 add '0.4444444444444444' '0.5555555555555559' -> '1.000000000000000' Inexact Rounded -addx6175 add '0.4444444444444444' '0.5555555555555558' -> '1.000000000000000' Inexact Rounded -addx6176 add '0.4444444444444444' '0.5555555555555557' -> '1.000000000000000' Inexact Rounded -addx6177 add '0.4444444444444444' '0.5555555555555556' -> '1.000000000000000' Rounded -addx6178 add '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999' -addx6179 add '0.4444444444444444' '0.5555555555555554' -> '0.9999999999999998' -addx6180 add '0.4444444444444444' '0.5555555555555553' -> '0.9999999999999997' -addx6181 add '0.4444444444444444' '0.5555555555555552' -> '0.9999999999999996' -addx6182 add '0.4444444444444444' '0.5555555555555551' -> '0.9999999999999995' -addx6183 add '0.4444444444444444' '0.5555555555555550' -> '0.9999999999999994' - --- and some more, including residue effects and different roundings -rounding: half_up -addx6200 add '6543210123456789' 0 -> '6543210123456789' -addx6201 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded -addx6202 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded -addx6203 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded -addx6204 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded -addx6205 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded -addx6206 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded -addx6207 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded -addx6208 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded -addx6209 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded -addx6210 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded -addx6211 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded -addx6212 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded -addx6213 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded -addx6214 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded -addx6215 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded -addx6216 add '6543210123456789' 1 -> '6543210123456790' -addx6217 add '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded -addx6218 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded -addx6219 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded - -rounding: half_even -addx6220 add '6543210123456789' 0 -> '6543210123456789' -addx6221 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded -addx6222 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded -addx6223 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded -addx6224 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded -addx6225 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded -addx6226 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded -addx6227 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded -addx6228 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded -addx6229 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded -addx6230 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded -addx6231 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded -addx6232 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded -addx6233 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded -addx6234 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded -addx6235 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded -addx6236 add '6543210123456789' 1 -> '6543210123456790' -addx6237 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded -addx6238 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded -addx6239 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded --- critical few with even bottom digit... -addx6240 add '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded -addx6241 add '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded -addx6242 add '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded - -rounding: down -addx6250 add '6543210123456789' 0 -> '6543210123456789' -addx6251 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded -addx6252 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded -addx6253 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded -addx6254 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded -addx6255 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded -addx6256 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded -addx6257 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded -addx6258 add '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded -addx6259 add '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded -addx6260 add '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded -addx6261 add '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded -addx6262 add '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded -addx6263 add '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded -addx6264 add '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded -addx6265 add '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded -addx6266 add '6543210123456789' 1 -> '6543210123456790' -addx6267 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded -addx6268 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded -addx6269 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded - --- 1 in last place tests -rounding: half_even -addx6301 add -1 1 -> 0 -addx6302 add 0 1 -> 1 -addx6303 add 1 1 -> 2 -addx6304 add 12 1 -> 13 -addx6305 add 98 1 -> 99 -addx6306 add 99 1 -> 100 -addx6307 add 100 1 -> 101 -addx6308 add 101 1 -> 102 -addx6309 add -1 -1 -> -2 -addx6310 add 0 -1 -> -1 -addx6311 add 1 -1 -> 0 -addx6312 add 12 -1 -> 11 -addx6313 add 98 -1 -> 97 -addx6314 add 99 -1 -> 98 -addx6315 add 100 -1 -> 99 -addx6316 add 101 -1 -> 100 - -addx6321 add -0.01 0.01 -> 0.00 -addx6322 add 0.00 0.01 -> 0.01 -addx6323 add 0.01 0.01 -> 0.02 -addx6324 add 0.12 0.01 -> 0.13 -addx6325 add 0.98 0.01 -> 0.99 -addx6326 add 0.99 0.01 -> 1.00 -addx6327 add 1.00 0.01 -> 1.01 -addx6328 add 1.01 0.01 -> 1.02 -addx6329 add -0.01 -0.01 -> -0.02 -addx6330 add 0.00 -0.01 -> -0.01 -addx6331 add 0.01 -0.01 -> 0.00 -addx6332 add 0.12 -0.01 -> 0.11 -addx6333 add 0.98 -0.01 -> 0.97 -addx6334 add 0.99 -0.01 -> 0.98 -addx6335 add 1.00 -0.01 -> 0.99 -addx6336 add 1.01 -0.01 -> 1.00 - --- some more cases where adding 0 affects the coefficient -addx6340 add 1E+3 0 -> 1000 -addx6341 add 1E+15 0 -> 1000000000000000 -addx6342 add 1E+16 0 -> 1.000000000000000E+16 Rounded -addx6343 add 1E+17 0 -> 1.000000000000000E+17 Rounded --- which simply follow from these cases ... -addx6344 add 1E+3 1 -> 1001 -addx6345 add 1E+15 1 -> 1000000000000001 -addx6346 add 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded -addx6347 add 1E+17 1 -> 1.000000000000000E+17 Inexact Rounded -addx6348 add 1E+3 7 -> 1007 -addx6349 add 1E+15 7 -> 1000000000000007 -addx6350 add 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded -addx6351 add 1E+17 7 -> 1.000000000000000E+17 Inexact Rounded - --- tryzeros cases -addx6361 add 0E+50 10000E+1 -> 1.0000E+5 -addx6362 add 10000E+1 0E-50 -> 100000.0000000000 Rounded -addx6363 add 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact -addx6364 add 12.34 0e-398 -> 12.34000000000000 Rounded - --- ulp replacement tests -addx6400 add 1 77e-14 -> 1.00000000000077 -addx6401 add 1 77e-15 -> 1.000000000000077 -addx6402 add 1 77e-16 -> 1.000000000000008 Inexact Rounded -addx6403 add 1 77e-17 -> 1.000000000000001 Inexact Rounded -addx6404 add 1 77e-18 -> 1.000000000000000 Inexact Rounded -addx6405 add 1 77e-19 -> 1.000000000000000 Inexact Rounded -addx6406 add 1 77e-99 -> 1.000000000000000 Inexact Rounded - -addx6410 add 10 77e-14 -> 10.00000000000077 -addx6411 add 10 77e-15 -> 10.00000000000008 Inexact Rounded -addx6412 add 10 77e-16 -> 10.00000000000001 Inexact Rounded -addx6413 add 10 77e-17 -> 10.00000000000000 Inexact Rounded -addx6414 add 10 77e-18 -> 10.00000000000000 Inexact Rounded -addx6415 add 10 77e-19 -> 10.00000000000000 Inexact Rounded -addx6416 add 10 77e-99 -> 10.00000000000000 Inexact Rounded - -addx6420 add 77e-14 1 -> 1.00000000000077 -addx6421 add 77e-15 1 -> 1.000000000000077 -addx6422 add 77e-16 1 -> 1.000000000000008 Inexact Rounded -addx6423 add 77e-17 1 -> 1.000000000000001 Inexact Rounded -addx6424 add 77e-18 1 -> 1.000000000000000 Inexact Rounded -addx6425 add 77e-19 1 -> 1.000000000000000 Inexact Rounded -addx6426 add 77e-99 1 -> 1.000000000000000 Inexact Rounded - -addx6430 add 77e-14 10 -> 10.00000000000077 -addx6431 add 77e-15 10 -> 10.00000000000008 Inexact Rounded -addx6432 add 77e-16 10 -> 10.00000000000001 Inexact Rounded -addx6433 add 77e-17 10 -> 10.00000000000000 Inexact Rounded -addx6434 add 77e-18 10 -> 10.00000000000000 Inexact Rounded -addx6435 add 77e-19 10 -> 10.00000000000000 Inexact Rounded -addx6436 add 77e-99 10 -> 10.00000000000000 Inexact Rounded - --- negative ulps -addx6440 add 1 -77e-14 -> 0.99999999999923 -addx6441 add 1 -77e-15 -> 0.999999999999923 -addx6442 add 1 -77e-16 -> 0.9999999999999923 -addx6443 add 1 -77e-17 -> 0.9999999999999992 Inexact Rounded -addx6444 add 1 -77e-18 -> 0.9999999999999999 Inexact Rounded -addx6445 add 1 -77e-19 -> 1.000000000000000 Inexact Rounded -addx6446 add 1 -77e-99 -> 1.000000000000000 Inexact Rounded - -addx6450 add 10 -77e-14 -> 9.99999999999923 -addx6451 add 10 -77e-15 -> 9.999999999999923 -addx6452 add 10 -77e-16 -> 9.999999999999992 Inexact Rounded -addx6453 add 10 -77e-17 -> 9.999999999999999 Inexact Rounded -addx6454 add 10 -77e-18 -> 10.00000000000000 Inexact Rounded -addx6455 add 10 -77e-19 -> 10.00000000000000 Inexact Rounded -addx6456 add 10 -77e-99 -> 10.00000000000000 Inexact Rounded - -addx6460 add -77e-14 1 -> 0.99999999999923 -addx6461 add -77e-15 1 -> 0.999999999999923 -addx6462 add -77e-16 1 -> 0.9999999999999923 -addx6463 add -77e-17 1 -> 0.9999999999999992 Inexact Rounded -addx6464 add -77e-18 1 -> 0.9999999999999999 Inexact Rounded -addx6465 add -77e-19 1 -> 1.000000000000000 Inexact Rounded -addx6466 add -77e-99 1 -> 1.000000000000000 Inexact Rounded - -addx6470 add -77e-14 10 -> 9.99999999999923 -addx6471 add -77e-15 10 -> 9.999999999999923 -addx6472 add -77e-16 10 -> 9.999999999999992 Inexact Rounded -addx6473 add -77e-17 10 -> 9.999999999999999 Inexact Rounded -addx6474 add -77e-18 10 -> 10.00000000000000 Inexact Rounded -addx6475 add -77e-19 10 -> 10.00000000000000 Inexact Rounded -addx6476 add -77e-99 10 -> 10.00000000000000 Inexact Rounded - --- negative ulps -addx6480 add -1 77e-14 -> -0.99999999999923 -addx6481 add -1 77e-15 -> -0.999999999999923 -addx6482 add -1 77e-16 -> -0.9999999999999923 -addx6483 add -1 77e-17 -> -0.9999999999999992 Inexact Rounded -addx6484 add -1 77e-18 -> -0.9999999999999999 Inexact Rounded -addx6485 add -1 77e-19 -> -1.000000000000000 Inexact Rounded -addx6486 add -1 77e-99 -> -1.000000000000000 Inexact Rounded - -addx6490 add -10 77e-14 -> -9.99999999999923 -addx6491 add -10 77e-15 -> -9.999999999999923 -addx6492 add -10 77e-16 -> -9.999999999999992 Inexact Rounded -addx6493 add -10 77e-17 -> -9.999999999999999 Inexact Rounded -addx6494 add -10 77e-18 -> -10.00000000000000 Inexact Rounded -addx6495 add -10 77e-19 -> -10.00000000000000 Inexact Rounded -addx6496 add -10 77e-99 -> -10.00000000000000 Inexact Rounded - -addx6500 add 77e-14 -1 -> -0.99999999999923 -addx6501 add 77e-15 -1 -> -0.999999999999923 -addx6502 add 77e-16 -1 -> -0.9999999999999923 -addx6503 add 77e-17 -1 -> -0.9999999999999992 Inexact Rounded -addx6504 add 77e-18 -1 -> -0.9999999999999999 Inexact Rounded -addx6505 add 77e-19 -1 -> -1.000000000000000 Inexact Rounded -addx6506 add 77e-99 -1 -> -1.000000000000000 Inexact Rounded - -addx6510 add 77e-14 -10 -> -9.99999999999923 -addx6511 add 77e-15 -10 -> -9.999999999999923 -addx6512 add 77e-16 -10 -> -9.999999999999992 Inexact Rounded -addx6513 add 77e-17 -10 -> -9.999999999999999 Inexact Rounded -addx6514 add 77e-18 -10 -> -10.00000000000000 Inexact Rounded -addx6515 add 77e-19 -10 -> -10.00000000000000 Inexact Rounded -addx6516 add 77e-99 -10 -> -10.00000000000000 Inexact Rounded - - --- long operands -addx6521 add 101234562345678000 0 -> 1.012345623456780E+17 Rounded -addx6522 add 0 101234562345678000 -> 1.012345623456780E+17 Rounded -addx6523 add 10123456234567800 0 -> 1.012345623456780E+16 Rounded -addx6524 add 0 10123456234567800 -> 1.012345623456780E+16 Rounded -addx6525 add 10123456234567890 0 -> 1.012345623456789E+16 Rounded -addx6526 add 0 10123456234567890 -> 1.012345623456789E+16 Rounded -addx6527 add 10123456234567891 0 -> 1.012345623456789E+16 Inexact Rounded -addx6528 add 0 10123456234567891 -> 1.012345623456789E+16 Inexact Rounded -addx6529 add 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded -addx6530 add 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded -addx6531 add 10123456234567896 0 -> 1.012345623456790E+16 Inexact Rounded -addx6532 add 0 10123456234567896 -> 1.012345623456790E+16 Inexact Rounded - --- verify a query -rounding: down -addx6561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded -addx6562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded --- and using decimal64 bounds... -rounding: down -addx6563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded -addx6564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded - --- more zeros, etc. -rounding: half_even - -addx6701 add 5.00 1.00E-3 -> 5.00100 -addx6702 add 00.00 0.000 -> 0.000 -addx6703 add 00.00 0E-3 -> 0.000 -addx6704 add 0E-3 00.00 -> 0.000 - -addx6710 add 0E+3 00.00 -> 0.00 -addx6711 add 0E+3 00.0 -> 0.0 -addx6712 add 0E+3 00. -> 0 -addx6713 add 0E+3 00.E+1 -> 0E+1 -addx6714 add 0E+3 00.E+2 -> 0E+2 -addx6715 add 0E+3 00.E+3 -> 0E+3 -addx6716 add 0E+3 00.E+4 -> 0E+3 -addx6717 add 0E+3 00.E+5 -> 0E+3 -addx6718 add 0E+3 -00.0 -> 0.0 -addx6719 add 0E+3 -00. -> 0 -addx6731 add 0E+3 -00.E+1 -> 0E+1 - -addx6720 add 00.00 0E+3 -> 0.00 -addx6721 add 00.0 0E+3 -> 0.0 -addx6722 add 00. 0E+3 -> 0 -addx6723 add 00.E+1 0E+3 -> 0E+1 -addx6724 add 00.E+2 0E+3 -> 0E+2 -addx6725 add 00.E+3 0E+3 -> 0E+3 -addx6726 add 00.E+4 0E+3 -> 0E+3 -addx6727 add 00.E+5 0E+3 -> 0E+3 -addx6728 add -00.00 0E+3 -> 0.00 -addx6729 add -00.0 0E+3 -> 0.0 -addx6730 add -00. 0E+3 -> 0 - -addx6732 add 0 0 -> 0 -addx6733 add 0 -0 -> 0 -addx6734 add -0 0 -> 0 -addx6735 add -0 -0 -> -0 -- IEEE 854 special case - -addx6736 add 1 -1 -> 0 -addx6737 add -1 -1 -> -2 -addx6738 add 1 1 -> 2 -addx6739 add -1 1 -> 0 - -addx6741 add 0 -1 -> -1 -addx6742 add -0 -1 -> -1 -addx6743 add 0 1 -> 1 -addx6744 add -0 1 -> 1 -addx6745 add -1 0 -> -1 -addx6746 add -1 -0 -> -1 -addx6747 add 1 0 -> 1 -addx6748 add 1 -0 -> 1 - -addx6751 add 0.0 -1 -> -1.0 -addx6752 add -0.0 -1 -> -1.0 -addx6753 add 0.0 1 -> 1.0 -addx6754 add -0.0 1 -> 1.0 -addx6755 add -1.0 0 -> -1.0 -addx6756 add -1.0 -0 -> -1.0 -addx6757 add 1.0 0 -> 1.0 -addx6758 add 1.0 -0 -> 1.0 - -addx6761 add 0 -1.0 -> -1.0 -addx6762 add -0 -1.0 -> -1.0 -addx6763 add 0 1.0 -> 1.0 -addx6764 add -0 1.0 -> 1.0 -addx6765 add -1 0.0 -> -1.0 -addx6766 add -1 -0.0 -> -1.0 -addx6767 add 1 0.0 -> 1.0 -addx6768 add 1 -0.0 -> 1.0 - -addx6771 add 0.0 -1.0 -> -1.0 -addx6772 add -0.0 -1.0 -> -1.0 -addx6773 add 0.0 1.0 -> 1.0 -addx6774 add -0.0 1.0 -> 1.0 -addx6775 add -1.0 0.0 -> -1.0 -addx6776 add -1.0 -0.0 -> -1.0 -addx6777 add 1.0 0.0 -> 1.0 -addx6778 add 1.0 -0.0 -> 1.0 - --- Specials -addx6780 add -Inf -Inf -> -Infinity -addx6781 add -Inf -1000 -> -Infinity -addx6782 add -Inf -1 -> -Infinity -addx6783 add -Inf -0 -> -Infinity -addx6784 add -Inf 0 -> -Infinity -addx6785 add -Inf 1 -> -Infinity -addx6786 add -Inf 1000 -> -Infinity -addx6787 add -1000 -Inf -> -Infinity -addx6788 add -Inf -Inf -> -Infinity -addx6789 add -1 -Inf -> -Infinity -addx6790 add -0 -Inf -> -Infinity -addx6791 add 0 -Inf -> -Infinity -addx6792 add 1 -Inf -> -Infinity -addx6793 add 1000 -Inf -> -Infinity -addx6794 add Inf -Inf -> NaN Invalid_operation - -addx6800 add Inf -Inf -> NaN Invalid_operation -addx6801 add Inf -1000 -> Infinity -addx6802 add Inf -1 -> Infinity -addx6803 add Inf -0 -> Infinity -addx6804 add Inf 0 -> Infinity -addx6805 add Inf 1 -> Infinity -addx6806 add Inf 1000 -> Infinity -addx6807 add Inf Inf -> Infinity -addx6808 add -1000 Inf -> Infinity -addx6809 add -Inf Inf -> NaN Invalid_operation -addx6810 add -1 Inf -> Infinity -addx6811 add -0 Inf -> Infinity -addx6812 add 0 Inf -> Infinity -addx6813 add 1 Inf -> Infinity -addx6814 add 1000 Inf -> Infinity -addx6815 add Inf Inf -> Infinity - -addx6821 add NaN -Inf -> NaN -addx6822 add NaN -1000 -> NaN -addx6823 add NaN -1 -> NaN -addx6824 add NaN -0 -> NaN -addx6825 add NaN 0 -> NaN -addx6826 add NaN 1 -> NaN -addx6827 add NaN 1000 -> NaN -addx6828 add NaN Inf -> NaN -addx6829 add NaN NaN -> NaN -addx6830 add -Inf NaN -> NaN -addx6831 add -1000 NaN -> NaN -addx6832 add -1 NaN -> NaN -addx6833 add -0 NaN -> NaN -addx6834 add 0 NaN -> NaN -addx6835 add 1 NaN -> NaN -addx6836 add 1000 NaN -> NaN -addx6837 add Inf NaN -> NaN - -addx6841 add sNaN -Inf -> NaN Invalid_operation -addx6842 add sNaN -1000 -> NaN Invalid_operation -addx6843 add sNaN -1 -> NaN Invalid_operation -addx6844 add sNaN -0 -> NaN Invalid_operation -addx6845 add sNaN 0 -> NaN Invalid_operation -addx6846 add sNaN 1 -> NaN Invalid_operation -addx6847 add sNaN 1000 -> NaN Invalid_operation -addx6848 add sNaN NaN -> NaN Invalid_operation -addx6849 add sNaN sNaN -> NaN Invalid_operation -addx6850 add NaN sNaN -> NaN Invalid_operation -addx6851 add -Inf sNaN -> NaN Invalid_operation -addx6852 add -1000 sNaN -> NaN Invalid_operation -addx6853 add -1 sNaN -> NaN Invalid_operation -addx6854 add -0 sNaN -> NaN Invalid_operation -addx6855 add 0 sNaN -> NaN Invalid_operation -addx6856 add 1 sNaN -> NaN Invalid_operation -addx6857 add 1000 sNaN -> NaN Invalid_operation -addx6858 add Inf sNaN -> NaN Invalid_operation -addx6859 add NaN sNaN -> NaN Invalid_operation - --- propagating NaNs -addx6861 add NaN1 -Inf -> NaN1 -addx6862 add +NaN2 -1000 -> NaN2 -addx6863 add NaN3 1000 -> NaN3 -addx6864 add NaN4 Inf -> NaN4 -addx6865 add NaN5 +NaN6 -> NaN5 -addx6866 add -Inf NaN7 -> NaN7 -addx6867 add -1000 NaN8 -> NaN8 -addx6868 add 1000 NaN9 -> NaN9 -addx6869 add Inf +NaN10 -> NaN10 -addx6871 add sNaN11 -Inf -> NaN11 Invalid_operation -addx6872 add sNaN12 -1000 -> NaN12 Invalid_operation -addx6873 add sNaN13 1000 -> NaN13 Invalid_operation -addx6874 add sNaN14 NaN17 -> NaN14 Invalid_operation -addx6875 add sNaN15 sNaN18 -> NaN15 Invalid_operation -addx6876 add NaN16 sNaN19 -> NaN19 Invalid_operation -addx6877 add -Inf +sNaN20 -> NaN20 Invalid_operation -addx6878 add -1000 sNaN21 -> NaN21 Invalid_operation -addx6879 add 1000 sNaN22 -> NaN22 Invalid_operation -addx6880 add Inf sNaN23 -> NaN23 Invalid_operation -addx6881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation -addx6882 add -NaN26 NaN28 -> -NaN26 -addx6883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation -addx6884 add 1000 -NaN30 -> -NaN30 -addx6885 add 1000 -sNaN31 -> -NaN31 Invalid_operation - --- now the case where we can get underflow but the result is normal --- [note this can't happen if the operands are also bounded, as we --- cannot represent 1E-399, for example] - -addx6571 add 1E-383 0 -> 1E-383 -addx6572 add 1E-384 0 -> 1E-384 Subnormal -addx6573 add 1E-383 1E-384 -> 1.1E-383 -addx6574 subtract 1E-383 1E-384 -> 9E-384 Subnormal - --- Here we explore the boundary of rounding a subnormal to Nmin -addx6575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal -addx6576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal -addx6577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded -addx6578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded -addx6579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded -addx6580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded - --- check overflow edge case --- 1234567890123456 -addx6972 apply 9.999999999999999E+384 -> 9.999999999999999E+384 -addx6973 add 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded -addx6974 add 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded -addx6975 add 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded -addx6976 add 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded -addx6977 add 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded -addx6978 add 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded -addx6979 add 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded -addx6980 add 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded -addx6981 add 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded -addx6982 add 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded -addx6983 add 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded -addx6984 add 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded - -addx6985 apply -9.999999999999999E+384 -> -9.999999999999999E+384 -addx6986 add -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded -addx6987 add -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded -addx6988 add -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded -addx6989 add -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded -addx6990 add -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded -addx6991 add -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded -addx6992 add -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded -addx6993 add -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded -addx6994 add -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded -addx6995 add -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded -addx6996 add -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded -addx6997 add -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded - --- And for round down full and subnormal results -rounding: down -addx61100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact -addx61101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact -addx61103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact -addx61104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact -addx61105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact -addx61106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact -addx61107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact -addx61108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact -addx61109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact - -rounding: ceiling -addx61110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact -addx61111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact -addx61113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact -addx61114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact -addx61115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact -addx61116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact -addx61117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact -addx61118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact -addx61119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact - --- tests based on Gunnar Degnbol's edge case -rounding: half_even - -addx61300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded -addx61310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded -addx61311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded -addx61312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded -addx61313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded -addx61314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded -addx61315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded -addx61316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded -addx61317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded -addx61318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded -addx61319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded -addx61320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded -addx61321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded -addx61322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded -addx61323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded -addx61324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded -addx61325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded -addx61333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded -addx61334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded -addx61335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded -addx61336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded -addx61337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded -addx61338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded -addx61339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded - -addx61340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded -addx61341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded - -addx61349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded -addx61350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded -addx61351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded -addx61352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded -addx61353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded -addx61354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded -addx61355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded -addx61356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded -addx61357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded -addx61358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded -addx61359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded -addx61360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded -addx61361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded -addx61362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded -addx61363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded -addx61364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded -addx61365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded -addx61373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded -addx61374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded -addx61375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded -addx61376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded -addx61377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded -addx61378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded -addx61379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded -addx61380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded -addx61381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded -addx61382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded -addx61383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded -addx61384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded -addx61385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded -addx61386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded -addx61387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded -addx61388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded -addx61389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded -addx61390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded -addx61391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded -addx61392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded -addx61393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded -addx61394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded -addx61395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded -addx61396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded - --- More GD edge cases, where difference between the unadjusted --- exponents is larger than the maximum precision and one side is 0 -addx61420 add 0 1.123456789012345 -> 1.123456789012345 -addx61421 add 0 1.123456789012345E-1 -> 0.1123456789012345 -addx61422 add 0 1.123456789012345E-2 -> 0.01123456789012345 -addx61423 add 0 1.123456789012345E-3 -> 0.001123456789012345 -addx61424 add 0 1.123456789012345E-4 -> 0.0001123456789012345 -addx61425 add 0 1.123456789012345E-5 -> 0.00001123456789012345 -addx61426 add 0 1.123456789012345E-6 -> 0.000001123456789012345 -addx61427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7 -addx61428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8 -addx61429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9 -addx61430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10 -addx61431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11 -addx61432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12 -addx61433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13 -addx61434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14 -addx61435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15 -addx61436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16 -addx61437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17 -addx61438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18 -addx61439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19 - --- same, reversed 0 -addx61440 add 1.123456789012345 0 -> 1.123456789012345 -addx61441 add 1.123456789012345E-1 0 -> 0.1123456789012345 -addx61442 add 1.123456789012345E-2 0 -> 0.01123456789012345 -addx61443 add 1.123456789012345E-3 0 -> 0.001123456789012345 -addx61444 add 1.123456789012345E-4 0 -> 0.0001123456789012345 -addx61445 add 1.123456789012345E-5 0 -> 0.00001123456789012345 -addx61446 add 1.123456789012345E-6 0 -> 0.000001123456789012345 -addx61447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7 -addx61448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8 -addx61449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9 -addx61450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10 -addx61451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11 -addx61452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12 -addx61453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13 -addx61454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14 -addx61455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15 -addx61456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16 -addx61457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17 -addx61458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18 -addx61459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19 - --- same, Es on the 0 -addx61460 add 1.123456789012345 0E-0 -> 1.123456789012345 -addx61461 add 1.123456789012345 0E-1 -> 1.123456789012345 -addx61462 add 1.123456789012345 0E-2 -> 1.123456789012345 -addx61463 add 1.123456789012345 0E-3 -> 1.123456789012345 -addx61464 add 1.123456789012345 0E-4 -> 1.123456789012345 -addx61465 add 1.123456789012345 0E-5 -> 1.123456789012345 -addx61466 add 1.123456789012345 0E-6 -> 1.123456789012345 -addx61467 add 1.123456789012345 0E-7 -> 1.123456789012345 -addx61468 add 1.123456789012345 0E-8 -> 1.123456789012345 -addx61469 add 1.123456789012345 0E-9 -> 1.123456789012345 -addx61470 add 1.123456789012345 0E-10 -> 1.123456789012345 -addx61471 add 1.123456789012345 0E-11 -> 1.123456789012345 -addx61472 add 1.123456789012345 0E-12 -> 1.123456789012345 -addx61473 add 1.123456789012345 0E-13 -> 1.123456789012345 -addx61474 add 1.123456789012345 0E-14 -> 1.123456789012345 -addx61475 add 1.123456789012345 0E-15 -> 1.123456789012345 --- next four flag Rounded because the 0 extends the result -addx61476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded -addx61477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded -addx61478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded -addx61479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded - --- sum of two opposite-sign operands is exactly 0 and floor => -0 -rounding: half_up --- exact zeros from zeros -addx61500 add 0 0E-19 -> 0E-19 -addx61501 add -0 0E-19 -> 0E-19 -addx61502 add 0 -0E-19 -> 0E-19 -addx61503 add -0 -0E-19 -> -0E-19 -addx61504 add 0E-400 0E-19 -> 0E-398 Clamped -addx61505 add -0E-400 0E-19 -> 0E-398 Clamped -addx61506 add 0E-400 -0E-19 -> 0E-398 Clamped -addx61507 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx61511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped --- some exact zeros from non-zeros -addx61515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61516 add -1E-401 1E-401 -> 0E-398 Clamped -addx61517 add 1E-401 -1E-401 -> 0E-398 Clamped -addx61518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped - -rounding: half_down --- exact zeros from zeros -addx61520 add 0 0E-19 -> 0E-19 -addx61521 add -0 0E-19 -> 0E-19 -addx61522 add 0 -0E-19 -> 0E-19 -addx61523 add -0 -0E-19 -> -0E-19 -addx61524 add 0E-400 0E-19 -> 0E-398 Clamped -addx61525 add -0E-400 0E-19 -> 0E-398 Clamped -addx61526 add 0E-400 -0E-19 -> 0E-398 Clamped -addx61527 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx61531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped --- some exact zeros from non-zeros -addx61535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61536 add -1E-401 1E-401 -> 0E-398 Clamped -addx61537 add 1E-401 -1E-401 -> 0E-398 Clamped -addx61538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped - -rounding: half_even --- exact zeros from zeros -addx61540 add 0 0E-19 -> 0E-19 -addx61541 add -0 0E-19 -> 0E-19 -addx61542 add 0 -0E-19 -> 0E-19 -addx61543 add -0 -0E-19 -> -0E-19 -addx61544 add 0E-400 0E-19 -> 0E-398 Clamped -addx61545 add -0E-400 0E-19 -> 0E-398 Clamped -addx61546 add 0E-400 -0E-19 -> 0E-398 Clamped -addx61547 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx61551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped --- some exact zeros from non-zeros -addx61555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61556 add -1E-401 1E-401 -> 0E-398 Clamped -addx61557 add 1E-401 -1E-401 -> 0E-398 Clamped -addx61558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped - -rounding: up --- exact zeros from zeros -addx61560 add 0 0E-19 -> 0E-19 -addx61561 add -0 0E-19 -> 0E-19 -addx61562 add 0 -0E-19 -> 0E-19 -addx61563 add -0 -0E-19 -> -0E-19 -addx61564 add 0E-400 0E-19 -> 0E-398 Clamped -addx61565 add -0E-400 0E-19 -> 0E-398 Clamped -addx61566 add 0E-400 -0E-19 -> 0E-398 Clamped -addx61567 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx61571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow -addx61572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow -addx61573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow -addx61574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow --- some exact zeros from non-zeros -addx61575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow -addx61576 add -1E-401 1E-401 -> 0E-398 Clamped -addx61577 add 1E-401 -1E-401 -> 0E-398 Clamped -addx61578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow - -rounding: down --- exact zeros from zeros -addx61580 add 0 0E-19 -> 0E-19 -addx61581 add -0 0E-19 -> 0E-19 -addx61582 add 0 -0E-19 -> 0E-19 -addx61583 add -0 -0E-19 -> -0E-19 -addx61584 add 0E-400 0E-19 -> 0E-398 Clamped -addx61585 add -0E-400 0E-19 -> 0E-398 Clamped -addx61586 add 0E-400 -0E-19 -> 0E-398 Clamped -addx61587 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx61591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped --- some exact zeros from non-zeros -addx61595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61596 add -1E-401 1E-401 -> 0E-398 Clamped -addx61597 add 1E-401 -1E-401 -> 0E-398 Clamped -addx61598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped - -rounding: ceiling --- exact zeros from zeros -addx61600 add 0 0E-19 -> 0E-19 -addx61601 add -0 0E-19 -> 0E-19 -addx61602 add 0 -0E-19 -> 0E-19 -addx61603 add -0 -0E-19 -> -0E-19 -addx61604 add 0E-400 0E-19 -> 0E-398 Clamped -addx61605 add -0E-400 0E-19 -> 0E-398 Clamped -addx61606 add 0E-400 -0E-19 -> 0E-398 Clamped -addx61607 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx61611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow -addx61612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow -addx61613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped --- some exact zeros from non-zeros -addx61615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow -addx61616 add -1E-401 1E-401 -> 0E-398 Clamped -addx61617 add 1E-401 -1E-401 -> 0E-398 Clamped -addx61618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped - --- and the extra-special ugly case; unusual minuses marked by -- * -rounding: floor --- exact zeros from zeros -addx61620 add 0 0E-19 -> 0E-19 -addx61621 add -0 0E-19 -> -0E-19 -- * -addx61622 add 0 -0E-19 -> -0E-19 -- * -addx61623 add -0 -0E-19 -> -0E-19 -addx61624 add 0E-400 0E-19 -> 0E-398 Clamped -addx61625 add -0E-400 0E-19 -> -0E-398 Clamped -- * -addx61626 add 0E-400 -0E-19 -> -0E-398 Clamped -- * -addx61627 add -0E-400 -0E-19 -> -0E-398 Clamped --- inexact zeros -addx61631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow -addx61634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow --- some exact zeros from non-zeros -addx61635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped -addx61636 add -1E-401 1E-401 -> -0E-398 Clamped -- * -addx61637 add 1E-401 -1E-401 -> -0E-398 Clamped -- * -addx61638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow - --- Examples from SQL proposal (Krishna Kulkarni) -addx61701 add 130E-2 120E-2 -> 2.50 -addx61702 add 130E-2 12E-1 -> 2.50 -addx61703 add 130E-2 1E0 -> 2.30 -addx61704 add 1E2 1E4 -> 1.01E+4 -addx61705 subtract 130E-2 120E-2 -> 0.10 -addx61706 subtract 130E-2 12E-1 -> 0.10 -addx61707 subtract 130E-2 1E0 -> 0.30 -addx61708 subtract 1E2 1E4 -> -9.9E+3 - --- Gappy coefficients; check residue handling even with full coefficient gap -rounding: half_even - -addx62001 add 1234567890123456 1 -> 1234567890123457 -addx62002 add 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded -addx62003 add 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded -addx62004 add 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded -addx62005 add 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded -addx62006 add 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded -addx62007 add 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded -addx62008 add 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded -addx62009 add 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded -addx62010 add 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded -addx62011 add 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded -addx62012 add 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded -addx62013 add 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded -addx62014 add 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded -addx62015 add 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded -addx62016 add 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded -addx62017 add 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded -addx62018 add 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded -addx62019 add 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded -addx62020 add 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded -addx62021 add 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded - --- widening second argument at gap -addx62030 add 12345678 1 -> 12345679 -addx62031 add 12345678 0.1 -> 12345678.1 -addx62032 add 12345678 0.12 -> 12345678.12 -addx62033 add 12345678 0.123 -> 12345678.123 -addx62034 add 12345678 0.1234 -> 12345678.1234 -addx62035 add 12345678 0.12345 -> 12345678.12345 -addx62036 add 12345678 0.123456 -> 12345678.123456 -addx62037 add 12345678 0.1234567 -> 12345678.1234567 -addx62038 add 12345678 0.12345678 -> 12345678.12345678 -addx62039 add 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded -addx62040 add 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded -addx62041 add 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded -addx62042 add 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded -addx62043 add 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded -addx62044 add 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded -addx62045 add 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded -addx62046 add 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded -addx62047 add 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded -addx62048 add 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded -addx62049 add 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded --- 90123456 -rounding: half_even -addx62050 add 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded -addx62051 add 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded -addx62052 add 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded -addx62053 add 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded -addx62054 add 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded -addx62055 add 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded -addx62056 add 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded -addx62057 add 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded -addx62060 add 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded -addx62061 add 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded -addx62062 add 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded -addx62063 add 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded -addx62064 add 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded -addx62065 add 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded -addx62066 add 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded -addx62067 add 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded --- far-out residues (full coefficient gap is 16+15 digits) -rounding: up -addx62070 add 12345678 1E-8 -> 12345678.00000001 -addx62071 add 12345678 1E-9 -> 12345678.00000001 Inexact Rounded -addx62072 add 12345678 1E-10 -> 12345678.00000001 Inexact Rounded -addx62073 add 12345678 1E-11 -> 12345678.00000001 Inexact Rounded -addx62074 add 12345678 1E-12 -> 12345678.00000001 Inexact Rounded -addx62075 add 12345678 1E-13 -> 12345678.00000001 Inexact Rounded -addx62076 add 12345678 1E-14 -> 12345678.00000001 Inexact Rounded -addx62077 add 12345678 1E-15 -> 12345678.00000001 Inexact Rounded -addx62078 add 12345678 1E-16 -> 12345678.00000001 Inexact Rounded -addx62079 add 12345678 1E-17 -> 12345678.00000001 Inexact Rounded -addx62080 add 12345678 1E-18 -> 12345678.00000001 Inexact Rounded -addx62081 add 12345678 1E-19 -> 12345678.00000001 Inexact Rounded -addx62082 add 12345678 1E-20 -> 12345678.00000001 Inexact Rounded -addx62083 add 12345678 1E-25 -> 12345678.00000001 Inexact Rounded -addx62084 add 12345678 1E-30 -> 12345678.00000001 Inexact Rounded -addx62085 add 12345678 1E-31 -> 12345678.00000001 Inexact Rounded -addx62086 add 12345678 1E-32 -> 12345678.00000001 Inexact Rounded -addx62087 add 12345678 1E-33 -> 12345678.00000001 Inexact Rounded -addx62088 add 12345678 1E-34 -> 12345678.00000001 Inexact Rounded -addx62089 add 12345678 1E-35 -> 12345678.00000001 Inexact Rounded - --- payload decapitate -precision: 5 -addx62100 add 11 sNaN123456789 -> NaN56789 Invalid_operation -addx62101 add -11 -sNaN123456789 -> -NaN56789 Invalid_operation -addx62102 add 11 NaN123456789 -> NaN56789 -addx62103 add -11 -NaN123456789 -> -NaN56789 - --- Null tests -addx9990 add 10 # -> NaN Invalid_operation -addx9991 add # 10 -> NaN Invalid_operation |