diff -r ffa851df0825 -r 2fb8b9db1c86 symbian-qemu-0.9.1-12/python-win32-2.6.1/lib/test/decimaltestdata/add.decTest --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/symbian-qemu-0.9.1-12/python-win32-2.6.1/lib/test/decimaltestdata/add.decTest Fri Jul 31 15:01:17 2009 +0100 @@ -0,0 +1,2716 @@ +------/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: 2.58 + +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