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