| ------/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 |
