/Lib/test/decimaltestdata/add.decTest
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1------/cancell---------------------------------------------------------- 2-- add.decTest -- decimal addition -- 3-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- 4------------------------------------------------------------------------ 5-- Please see the document "General Decimal Arithmetic Testcases" -- 6-- at http://www2.hursley.ibm.com/decimal for the description of -- 7-- these testcases. -- 8-- -- 9-- These testcases are experimental ('beta' versions), and they -- 10-- may contain errors. They are offered on an as-is basis. In -- 11-- particular, achieving the same results as the tests here is not -- 12-- a guarantee that an implementation complies with any Standard -- 13-- or specification. The tests are not exhaustive. -- 14-- -- 15-- Please send comments, suggestions, and corrections to the author: -- 16-- Mike Cowlishaw, IBM Fellow -- 17-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- 18-- mfc@uk.ibm.com -- 19------------------------------------------------------------------------ 20version: 2.58 21 22precision: 9 23rounding: half_up 24maxExponent: 384 25minexponent: -383 26extended: 1 27 28-- [first group are 'quick confidence check'] 29addx001 add 1 1 -> 2 30addx002 add 2 3 -> 5 31addx003 add '5.75' '3.3' -> 9.05 32addx004 add '5' '-3' -> 2 33addx005 add '-5' '-3' -> -8 34addx006 add '-7' '2.5' -> -4.5 35addx007 add '0.7' '0.3' -> 1.0 36addx008 add '1.25' '1.25' -> 2.50 37addx009 add '1.23456789' '1.00000000' -> '2.23456789' 38addx010 add '1.23456789' '1.00000011' -> '2.23456800' 39 40addx011 add '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded 41addx012 add '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded 42addx013 add '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded 43addx014 add '0.44444444449' '0' -> '0.444444444' Inexact Rounded 44addx015 add '0.444444444499' '0' -> '0.444444444' Inexact Rounded 45addx016 add '0.4444444444999' '0' -> '0.444444444' Inexact Rounded 46addx017 add '0.4444444445000' '0' -> '0.444444445' Inexact Rounded 47addx018 add '0.4444444445001' '0' -> '0.444444445' Inexact Rounded 48addx019 add '0.444444444501' '0' -> '0.444444445' Inexact Rounded 49addx020 add '0.44444444451' '0' -> '0.444444445' Inexact Rounded 50 51addx021 add 0 1 -> 1 52addx022 add 1 1 -> 2 53addx023 add 2 1 -> 3 54addx024 add 3 1 -> 4 55addx025 add 4 1 -> 5 56addx026 add 5 1 -> 6 57addx027 add 6 1 -> 7 58addx028 add 7 1 -> 8 59addx029 add 8 1 -> 9 60addx030 add 9 1 -> 10 61 62-- some carrying effects 63addx031 add '0.9998' '0.0000' -> '0.9998' 64addx032 add '0.9998' '0.0001' -> '0.9999' 65addx033 add '0.9998' '0.0002' -> '1.0000' 66addx034 add '0.9998' '0.0003' -> '1.0001' 67 68addx035 add '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded 69addx036 add '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded 70addx037 add '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded 71addx038 add '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded 72addx039 add '700000' '10000e+9' -> '1.00000007E+13' Rounded 73 74-- symmetry: 75addx040 add '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded 76addx041 add '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded 77addx042 add '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded 78addx044 add '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded 79addx045 add '10000e+9' '700000' -> '1.00000007E+13' Rounded 80 81-- same, higher precision 82precision: 15 83addx046 add '10000e+9' '7' -> '10000000000007' 84addx047 add '10000e+9' '70' -> '10000000000070' 85addx048 add '10000e+9' '700' -> '10000000000700' 86addx049 add '10000e+9' '7000' -> '10000000007000' 87addx050 add '10000e+9' '70000' -> '10000000070000' 88addx051 add '10000e+9' '700000' -> '10000000700000' 89addx052 add '10000e+9' '7000000' -> '10000007000000' 90 91-- examples from decarith 92addx053 add '12' '7.00' -> '19.00' 93addx054 add '1.3' '-1.07' -> '0.23' 94addx055 add '1.3' '-1.30' -> '0.00' 95addx056 add '1.3' '-2.07' -> '-0.77' 96addx057 add '1E+2' '1E+4' -> '1.01E+4' 97 98-- zero preservation 99precision: 6 100addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded 101addx061 add 1 '0.0001' -> '1.0001' 102addx062 add 1 '0.00001' -> '1.00001' 103addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded 104addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded 105addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded 106 107-- some funny zeros [in case of bad signum] 108addx070 add 1 0 -> 1 109addx071 add 1 0. -> 1 110addx072 add 1 .0 -> 1.0 111addx073 add 1 0.0 -> 1.0 112addx074 add 1 0.00 -> 1.00 113addx075 add 0 1 -> 1 114addx076 add 0. 1 -> 1 115addx077 add .0 1 -> 1.0 116addx078 add 0.0 1 -> 1.0 117addx079 add 0.00 1 -> 1.00 118 119precision: 9 120 121-- some carries 122addx080 add 999999998 1 -> 999999999 123addx081 add 999999999 1 -> 1.00000000E+9 Rounded 124addx082 add 99999999 1 -> 100000000 125addx083 add 9999999 1 -> 10000000 126addx084 add 999999 1 -> 1000000 127addx085 add 99999 1 -> 100000 128addx086 add 9999 1 -> 10000 129addx087 add 999 1 -> 1000 130addx088 add 99 1 -> 100 131addx089 add 9 1 -> 10 132 133 134-- more LHS swaps 135addx090 add '-56267E-10' 0 -> '-0.0000056267' 136addx091 add '-56267E-6' 0 -> '-0.056267' 137addx092 add '-56267E-5' 0 -> '-0.56267' 138addx093 add '-56267E-4' 0 -> '-5.6267' 139addx094 add '-56267E-3' 0 -> '-56.267' 140addx095 add '-56267E-2' 0 -> '-562.67' 141addx096 add '-56267E-1' 0 -> '-5626.7' 142addx097 add '-56267E-0' 0 -> '-56267' 143addx098 add '-5E-10' 0 -> '-5E-10' 144addx099 add '-5E-7' 0 -> '-5E-7' 145addx100 add '-5E-6' 0 -> '-0.000005' 146addx101 add '-5E-5' 0 -> '-0.00005' 147addx102 add '-5E-4' 0 -> '-0.0005' 148addx103 add '-5E-1' 0 -> '-0.5' 149addx104 add '-5E0' 0 -> '-5' 150addx105 add '-5E1' 0 -> '-50' 151addx106 add '-5E5' 0 -> '-500000' 152addx107 add '-5E8' 0 -> '-500000000' 153addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded 154addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded 155addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded 156addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded 157 158-- more RHS swaps 159addx113 add 0 '-56267E-10' -> '-0.0000056267' 160addx114 add 0 '-56267E-6' -> '-0.056267' 161addx116 add 0 '-56267E-5' -> '-0.56267' 162addx117 add 0 '-56267E-4' -> '-5.6267' 163addx119 add 0 '-56267E-3' -> '-56.267' 164addx120 add 0 '-56267E-2' -> '-562.67' 165addx121 add 0 '-56267E-1' -> '-5626.7' 166addx122 add 0 '-56267E-0' -> '-56267' 167addx123 add 0 '-5E-10' -> '-5E-10' 168addx124 add 0 '-5E-7' -> '-5E-7' 169addx125 add 0 '-5E-6' -> '-0.000005' 170addx126 add 0 '-5E-5' -> '-0.00005' 171addx127 add 0 '-5E-4' -> '-0.0005' 172addx128 add 0 '-5E-1' -> '-0.5' 173addx129 add 0 '-5E0' -> '-5' 174addx130 add 0 '-5E1' -> '-50' 175addx131 add 0 '-5E5' -> '-500000' 176addx132 add 0 '-5E8' -> '-500000000' 177addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded 178addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded 179addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded 180addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded 181 182-- related 183addx137 add 1 '0E-12' -> '1.00000000' Rounded 184addx138 add -1 '0E-12' -> '-1.00000000' Rounded 185addx139 add '0E-12' 1 -> '1.00000000' Rounded 186addx140 add '0E-12' -1 -> '-1.00000000' Rounded 187addx141 add 1E+4 0.0000 -> '10000.0000' 188addx142 add 1E+4 0.00000 -> '10000.0000' Rounded 189addx143 add 0.000 1E+5 -> '100000.000' 190addx144 add 0.0000 1E+5 -> '100000.000' Rounded 191 192-- [some of the next group are really constructor tests] 193addx146 add '00.0' 0 -> '0.0' 194addx147 add '0.00' 0 -> '0.00' 195addx148 add 0 '0.00' -> '0.00' 196addx149 add 0 '00.0' -> '0.0' 197addx150 add '00.0' '0.00' -> '0.00' 198addx151 add '0.00' '00.0' -> '0.00' 199addx152 add '3' '.3' -> '3.3' 200addx153 add '3.' '.3' -> '3.3' 201addx154 add '3.0' '.3' -> '3.3' 202addx155 add '3.00' '.3' -> '3.30' 203addx156 add '3' '3' -> '6' 204addx157 add '3' '+3' -> '6' 205addx158 add '3' '-3' -> '0' 206addx159 add '0.3' '-0.3' -> '0.0' 207addx160 add '0.03' '-0.03' -> '0.00' 208 209-- try borderline precision, with carries, etc. 210precision: 15 211addx161 add '1E+12' '-1' -> '999999999999' 212addx162 add '1E+12' '1.11' -> '1000000000001.11' 213addx163 add '1.11' '1E+12' -> '1000000000001.11' 214addx164 add '-1' '1E+12' -> '999999999999' 215addx165 add '7E+12' '-1' -> '6999999999999' 216addx166 add '7E+12' '1.11' -> '7000000000001.11' 217addx167 add '1.11' '7E+12' -> '7000000000001.11' 218addx168 add '-1' '7E+12' -> '6999999999999' 219 220-- 123456789012345 123456789012345 1 23456789012345 221addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded 222addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded 223addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded 224addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded 225addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded 226addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded 227addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded 228addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded 229addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999' 230addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998' 231addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997' 232addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996' 233addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995' 234addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994' 235 236-- and some more, including residue effects and different roundings 237precision: 9 238rounding: half_up 239addx200 add '123456789' 0 -> '123456789' 240addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded 241addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded 242addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded 243addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded 244addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded 245addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded 246addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded 247addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded 248addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded 249addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded 250addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded 251addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded 252addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded 253addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded 254addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded 255addx216 add '123456789' 1 -> '123456790' 256addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded 257addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded 258addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded 259 260rounding: half_even 261addx220 add '123456789' 0 -> '123456789' 262addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded 263addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded 264addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded 265addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded 266addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded 267addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded 268addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded 269addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded 270addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded 271addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded 272addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded 273addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded 274addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded 275addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded 276addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded 277addx236 add '123456789' 1 -> '123456790' 278addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded 279addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded 280addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded 281-- critical few with even bottom digit... 282addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded 283addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded 284addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded 285 286rounding: down 287addx250 add '123456789' 0 -> '123456789' 288addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded 289addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded 290addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded 291addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded 292addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded 293addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded 294addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded 295addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded 296addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded 297addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded 298addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded 299addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded 300addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded 301addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded 302addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded 303addx266 add '123456789' 1 -> '123456790' 304addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded 305addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded 306addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded 307 308-- input preparation tests (operands should not be rounded) 309precision: 3 310rounding: half_up 311 312addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded 313addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded 314 315addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded 316addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded 317addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded 318addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded 319addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded 320addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded 321addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded 322 323addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded 324addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded 325addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded 326addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded 327addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded 328addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded 329addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded 330 331rounding: half_down 332addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded 333addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded 334addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded 335addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded 336addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded 337addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded 338addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded 339 340-- 1 in last place tests 341rounding: half_up 342addx301 add -1 1 -> 0 343addx302 add 0 1 -> 1 344addx303 add 1 1 -> 2 345addx304 add 12 1 -> 13 346addx305 add 98 1 -> 99 347addx306 add 99 1 -> 100 348addx307 add 100 1 -> 101 349addx308 add 101 1 -> 102 350addx309 add -1 -1 -> -2 351addx310 add 0 -1 -> -1 352addx311 add 1 -1 -> 0 353addx312 add 12 -1 -> 11 354addx313 add 98 -1 -> 97 355addx314 add 99 -1 -> 98 356addx315 add 100 -1 -> 99 357addx316 add 101 -1 -> 100 358 359addx321 add -0.01 0.01 -> 0.00 360addx322 add 0.00 0.01 -> 0.01 361addx323 add 0.01 0.01 -> 0.02 362addx324 add 0.12 0.01 -> 0.13 363addx325 add 0.98 0.01 -> 0.99 364addx326 add 0.99 0.01 -> 1.00 365addx327 add 1.00 0.01 -> 1.01 366addx328 add 1.01 0.01 -> 1.02 367addx329 add -0.01 -0.01 -> -0.02 368addx330 add 0.00 -0.01 -> -0.01 369addx331 add 0.01 -0.01 -> 0.00 370addx332 add 0.12 -0.01 -> 0.11 371addx333 add 0.98 -0.01 -> 0.97 372addx334 add 0.99 -0.01 -> 0.98 373addx335 add 1.00 -0.01 -> 0.99 374addx336 add 1.01 -0.01 -> 1.00 375 376-- some more cases where adding 0 affects the coefficient 377precision: 9 378addx340 add 1E+3 0 -> 1000 379addx341 add 1E+8 0 -> 100000000 380addx342 add 1E+9 0 -> 1.00000000E+9 Rounded 381addx343 add 1E+10 0 -> 1.00000000E+10 Rounded 382-- which simply follow from these cases ... 383addx344 add 1E+3 1 -> 1001 384addx345 add 1E+8 1 -> 100000001 385addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded 386addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded 387addx348 add 1E+3 7 -> 1007 388addx349 add 1E+8 7 -> 100000007 389addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded 390addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded 391 392-- tryzeros cases 393precision: 7 394rounding: half_up 395maxExponent: 92 396minexponent: -92 397addx361 add 0E+50 10000E+1 -> 1.0000E+5 398addx362 add 10000E+1 0E-50 -> 100000.0 Rounded 399addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact 400addx364 add 9.999999E+92 -9.999999E+92 -> 0E+86 401 402-- a curiosity from JSR 13 testing 403rounding: half_down 404precision: 10 405addx370 add 99999999 81512 -> 100081511 406precision: 6 407addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact 408rounding: half_up 409precision: 10 410addx372 add 99999999 81512 -> 100081511 411precision: 6 412addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact 413rounding: half_even 414precision: 10 415addx374 add 99999999 81512 -> 100081511 416precision: 6 417addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact 418 419-- ulp replacement tests 420precision: 9 421maxexponent: 999999999 422minexponent: -999999999 423addx400 add 1 77e-7 -> 1.0000077 424addx401 add 1 77e-8 -> 1.00000077 425addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded 426addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded 427addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded 428addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded 429addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded 430addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded 431 432addx410 add 10 77e-7 -> 10.0000077 433addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded 434addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded 435addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded 436addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded 437addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded 438addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded 439addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded 440 441addx420 add 77e-7 1 -> 1.0000077 442addx421 add 77e-8 1 -> 1.00000077 443addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded 444addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded 445addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded 446addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded 447addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded 448addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded 449 450addx430 add 77e-7 10 -> 10.0000077 451addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded 452addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded 453addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded 454addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded 455addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded 456addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded 457addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded 458 459-- negative ulps 460addx440 add 1 -77e-7 -> 0.9999923 461addx441 add 1 -77e-8 -> 0.99999923 462addx442 add 1 -77e-9 -> 0.999999923 463addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded 464addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded 465addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded 466addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded 467addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded 468 469addx450 add 10 -77e-7 -> 9.9999923 470addx451 add 10 -77e-8 -> 9.99999923 471addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded 472addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded 473addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded 474addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded 475addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded 476addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded 477 478addx460 add -77e-7 1 -> 0.9999923 479addx461 add -77e-8 1 -> 0.99999923 480addx462 add -77e-9 1 -> 0.999999923 481addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded 482addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded 483addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded 484addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded 485addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded 486 487addx470 add -77e-7 10 -> 9.9999923 488addx471 add -77e-8 10 -> 9.99999923 489addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded 490addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded 491addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded 492addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded 493addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded 494addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded 495 496-- negative ulps 497addx480 add -1 77e-7 -> -0.9999923 498addx481 add -1 77e-8 -> -0.99999923 499addx482 add -1 77e-9 -> -0.999999923 500addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded 501addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded 502addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded 503addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded 504addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded 505 506addx490 add -10 77e-7 -> -9.9999923 507addx491 add -10 77e-8 -> -9.99999923 508addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded 509addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded 510addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded 511addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded 512addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded 513addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded 514 515addx500 add 77e-7 -1 -> -0.9999923 516addx501 add 77e-8 -1 -> -0.99999923 517addx502 add 77e-9 -1 -> -0.999999923 518addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded 519addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded 520addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded 521addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded 522addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded 523 524addx510 add 77e-7 -10 -> -9.9999923 525addx511 add 77e-8 -10 -> -9.99999923 526addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded 527addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded 528addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded 529addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded 530addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded 531addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded 532 533 534-- long operands 535maxexponent: 999 536minexponent: -999 537precision: 9 538addx521 add 12345678000 0 -> 1.23456780E+10 Rounded 539addx522 add 0 12345678000 -> 1.23456780E+10 Rounded 540addx523 add 1234567800 0 -> 1.23456780E+9 Rounded 541addx524 add 0 1234567800 -> 1.23456780E+9 Rounded 542addx525 add 1234567890 0 -> 1.23456789E+9 Rounded 543addx526 add 0 1234567890 -> 1.23456789E+9 Rounded 544addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded 545addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded 546addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded 547addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded 548addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded 549addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded 550 551precision: 15 552-- still checking 553addx541 add 12345678000 0 -> 12345678000 554addx542 add 0 12345678000 -> 12345678000 555addx543 add 1234567800 0 -> 1234567800 556addx544 add 0 1234567800 -> 1234567800 557addx545 add 1234567890 0 -> 1234567890 558addx546 add 0 1234567890 -> 1234567890 559addx547 add 1234567891 0 -> 1234567891 560addx548 add 0 1234567891 -> 1234567891 561addx549 add 12345678901 0 -> 12345678901 562addx550 add 0 12345678901 -> 12345678901 563addx551 add 1234567896 0 -> 1234567896 564addx552 add 0 1234567896 -> 1234567896 565 566-- verify a query 567precision: 16 568maxExponent: +394 569minExponent: -393 570rounding: down 571addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded 572addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded 573-- and using decimal64 bounds (see also ddadd.decTest) 574precision: 16 575maxExponent: +384 576minExponent: -383 577rounding: down 578addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded 579addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded 580 581 582-- some more residue effects with extreme rounding 583precision: 9 584rounding: half_up 585addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded 586rounding: half_even 587addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded 588rounding: half_down 589addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded 590rounding: floor 591addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded 592rounding: ceiling 593addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded 594rounding: up 595addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded 596rounding: down 597addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded 598 599rounding: half_up 600addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded 601rounding: half_even 602addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded 603rounding: half_down 604addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded 605rounding: floor 606addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded 607rounding: ceiling 608addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded 609rounding: up 610addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded 611rounding: down 612addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded 613 614rounding: half_up 615addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded 616rounding: half_even 617addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded 618rounding: half_down 619addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded 620rounding: floor 621addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded 622rounding: ceiling 623addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded 624rounding: up 625addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded 626rounding: down 627addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded 628 629rounding: half_up 630addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded 631rounding: half_even 632addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded 633rounding: half_down 634addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded 635rounding: floor 636addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded 637rounding: ceiling 638addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded 639rounding: up 640addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded 641rounding: down 642addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded 643 644rounding: half_up 645addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded 646rounding: half_even 647addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded 648rounding: half_down 649addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded 650rounding: floor 651addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded 652rounding: ceiling 653addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded 654rounding: up 655addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded 656rounding: down 657addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded 658 659rounding: half_up 660addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded 661rounding: half_even 662addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded 663rounding: half_down 664addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded 665rounding: floor 666addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded 667rounding: ceiling 668addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded 669rounding: up 670addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded 671rounding: down 672addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded 673 674-- long operand triangle 675rounding: half_up 676precision: 37 677addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538 678precision: 36 679addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded 680precision: 35 681addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded 682precision: 34 683addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded 684precision: 33 685addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded 686precision: 32 687addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded 688precision: 31 689addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded 690precision: 30 691addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded 692precision: 29 693addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded 694precision: 28 695addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded 696precision: 27 697addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded 698precision: 26 699addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded 700precision: 25 701addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded 702precision: 24 703addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded 704precision: 23 705addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded 706precision: 22 707addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded 708precision: 21 709addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded 710precision: 20 711addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded 712precision: 19 713addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded 714precision: 18 715addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded 716precision: 17 717addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded 718precision: 16 719addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded 720precision: 15 721addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded 722precision: 14 723addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded 724precision: 13 725addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded 726precision: 12 727addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded 728precision: 11 729addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded 730precision: 10 731addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded 732precision: 9 733addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded 734precision: 8 735addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded 736precision: 7 737addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded 738precision: 6 739addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded 740precision: 5 741addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded 742precision: 4 743addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded 744precision: 3 745addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded 746precision: 2 747addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded 748precision: 1 749addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded 750 751-- more zeros, etc. 752rounding: half_up 753precision: 9 754 755addx701 add 5.00 1.00E-3 -> 5.00100 756addx702 add 00.00 0.000 -> 0.000 757addx703 add 00.00 0E-3 -> 0.000 758addx704 add 0E-3 00.00 -> 0.000 759 760addx710 add 0E+3 00.00 -> 0.00 761addx711 add 0E+3 00.0 -> 0.0 762addx712 add 0E+3 00. -> 0 763addx713 add 0E+3 00.E+1 -> 0E+1 764addx714 add 0E+3 00.E+2 -> 0E+2 765addx715 add 0E+3 00.E+3 -> 0E+3 766addx716 add 0E+3 00.E+4 -> 0E+3 767addx717 add 0E+3 00.E+5 -> 0E+3 768addx718 add 0E+3 -00.0 -> 0.0 769addx719 add 0E+3 -00. -> 0 770addx731 add 0E+3 -00.E+1 -> 0E+1 771 772addx720 add 00.00 0E+3 -> 0.00 773addx721 add 00.0 0E+3 -> 0.0 774addx722 add 00. 0E+3 -> 0 775addx723 add 00.E+1 0E+3 -> 0E+1 776addx724 add 00.E+2 0E+3 -> 0E+2 777addx725 add 00.E+3 0E+3 -> 0E+3 778addx726 add 00.E+4 0E+3 -> 0E+3 779addx727 add 00.E+5 0E+3 -> 0E+3 780addx728 add -00.00 0E+3 -> 0.00 781addx729 add -00.0 0E+3 -> 0.0 782addx730 add -00. 0E+3 -> 0 783 784addx732 add 0 0 -> 0 785addx733 add 0 -0 -> 0 786addx734 add -0 0 -> 0 787addx735 add -0 -0 -> -0 -- IEEE 854 special case 788 789addx736 add 1 -1 -> 0 790addx737 add -1 -1 -> -2 791addx738 add 1 1 -> 2 792addx739 add -1 1 -> 0 793 794addx741 add 0 -1 -> -1 795addx742 add -0 -1 -> -1 796addx743 add 0 1 -> 1 797addx744 add -0 1 -> 1 798addx745 add -1 0 -> -1 799addx746 add -1 -0 -> -1 800addx747 add 1 0 -> 1 801addx748 add 1 -0 -> 1 802 803addx751 add 0.0 -1 -> -1.0 804addx752 add -0.0 -1 -> -1.0 805addx753 add 0.0 1 -> 1.0 806addx754 add -0.0 1 -> 1.0 807addx755 add -1.0 0 -> -1.0 808addx756 add -1.0 -0 -> -1.0 809addx757 add 1.0 0 -> 1.0 810addx758 add 1.0 -0 -> 1.0 811 812addx761 add 0 -1.0 -> -1.0 813addx762 add -0 -1.0 -> -1.0 814addx763 add 0 1.0 -> 1.0 815addx764 add -0 1.0 -> 1.0 816addx765 add -1 0.0 -> -1.0 817addx766 add -1 -0.0 -> -1.0 818addx767 add 1 0.0 -> 1.0 819addx768 add 1 -0.0 -> 1.0 820 821addx771 add 0.0 -1.0 -> -1.0 822addx772 add -0.0 -1.0 -> -1.0 823addx773 add 0.0 1.0 -> 1.0 824addx774 add -0.0 1.0 -> 1.0 825addx775 add -1.0 0.0 -> -1.0 826addx776 add -1.0 -0.0 -> -1.0 827addx777 add 1.0 0.0 -> 1.0 828addx778 add 1.0 -0.0 -> 1.0 829 830-- Specials 831addx780 add -Inf -Inf -> -Infinity 832addx781 add -Inf -1000 -> -Infinity 833addx782 add -Inf -1 -> -Infinity 834addx783 add -Inf -0 -> -Infinity 835addx784 add -Inf 0 -> -Infinity 836addx785 add -Inf 1 -> -Infinity 837addx786 add -Inf 1000 -> -Infinity 838addx787 add -1000 -Inf -> -Infinity 839addx788 add -Inf -Inf -> -Infinity 840addx789 add -1 -Inf -> -Infinity 841addx790 add -0 -Inf -> -Infinity 842addx791 add 0 -Inf -> -Infinity 843addx792 add 1 -Inf -> -Infinity 844addx793 add 1000 -Inf -> -Infinity 845addx794 add Inf -Inf -> NaN Invalid_operation 846 847addx800 add Inf -Inf -> NaN Invalid_operation 848addx801 add Inf -1000 -> Infinity 849addx802 add Inf -1 -> Infinity 850addx803 add Inf -0 -> Infinity 851addx804 add Inf 0 -> Infinity 852addx805 add Inf 1 -> Infinity 853addx806 add Inf 1000 -> Infinity 854addx807 add Inf Inf -> Infinity 855addx808 add -1000 Inf -> Infinity 856addx809 add -Inf Inf -> NaN Invalid_operation 857addx810 add -1 Inf -> Infinity 858addx811 add -0 Inf -> Infinity 859addx812 add 0 Inf -> Infinity 860addx813 add 1 Inf -> Infinity 861addx814 add 1000 Inf -> Infinity 862addx815 add Inf Inf -> Infinity 863 864addx821 add NaN -Inf -> NaN 865addx822 add NaN -1000 -> NaN 866addx823 add NaN -1 -> NaN 867addx824 add NaN -0 -> NaN 868addx825 add NaN 0 -> NaN 869addx826 add NaN 1 -> NaN 870addx827 add NaN 1000 -> NaN 871addx828 add NaN Inf -> NaN 872addx829 add NaN NaN -> NaN 873addx830 add -Inf NaN -> NaN 874addx831 add -1000 NaN -> NaN 875addx832 add -1 NaN -> NaN 876addx833 add -0 NaN -> NaN 877addx834 add 0 NaN -> NaN 878addx835 add 1 NaN -> NaN 879addx836 add 1000 NaN -> NaN 880addx837 add Inf NaN -> NaN 881 882addx841 add sNaN -Inf -> NaN Invalid_operation 883addx842 add sNaN -1000 -> NaN Invalid_operation 884addx843 add sNaN -1 -> NaN Invalid_operation 885addx844 add sNaN -0 -> NaN Invalid_operation 886addx845 add sNaN 0 -> NaN Invalid_operation 887addx846 add sNaN 1 -> NaN Invalid_operation 888addx847 add sNaN 1000 -> NaN Invalid_operation 889addx848 add sNaN NaN -> NaN Invalid_operation 890addx849 add sNaN sNaN -> NaN Invalid_operation 891addx850 add NaN sNaN -> NaN Invalid_operation 892addx851 add -Inf sNaN -> NaN Invalid_operation 893addx852 add -1000 sNaN -> NaN Invalid_operation 894addx853 add -1 sNaN -> NaN Invalid_operation 895addx854 add -0 sNaN -> NaN Invalid_operation 896addx855 add 0 sNaN -> NaN Invalid_operation 897addx856 add 1 sNaN -> NaN Invalid_operation 898addx857 add 1000 sNaN -> NaN Invalid_operation 899addx858 add Inf sNaN -> NaN Invalid_operation 900addx859 add NaN sNaN -> NaN Invalid_operation 901 902-- propagating NaNs 903addx861 add NaN1 -Inf -> NaN1 904addx862 add +NaN2 -1000 -> NaN2 905addx863 add NaN3 1000 -> NaN3 906addx864 add NaN4 Inf -> NaN4 907addx865 add NaN5 +NaN6 -> NaN5 908addx866 add -Inf NaN7 -> NaN7 909addx867 add -1000 NaN8 -> NaN8 910addx868 add 1000 NaN9 -> NaN9 911addx869 add Inf +NaN10 -> NaN10 912addx871 add sNaN11 -Inf -> NaN11 Invalid_operation 913addx872 add sNaN12 -1000 -> NaN12 Invalid_operation 914addx873 add sNaN13 1000 -> NaN13 Invalid_operation 915addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation 916addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation 917addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation 918addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation 919addx878 add -1000 sNaN21 -> NaN21 Invalid_operation 920addx879 add 1000 sNaN22 -> NaN22 Invalid_operation 921addx880 add Inf sNaN23 -> NaN23 Invalid_operation 922addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation 923addx882 add -NaN26 NaN28 -> -NaN26 924addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation 925addx884 add 1000 -NaN30 -> -NaN30 926addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation 927 928-- overflow, underflow and subnormal tests 929maxexponent: 999999999 930minexponent: -999999999 931precision: 9 932addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded 933addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded 934addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal 935addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal 936addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal 937addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal 938addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded 939addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded 940addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal 941addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal 942addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal 943addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal 944addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999 945addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999 946 947precision: 3 948addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded 949addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded 950addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded 951addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded 952 953precision: 3 954maxexponent: 999 955minexponent: -999 956addx910 add 1.00E-999 0 -> 1.00E-999 957addx911 add 0.1E-999 0 -> 1E-1000 Subnormal 958addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal 959addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded 960addx914 add 0.01E-999 0 -> 1E-1001 Subnormal 961-- next is rounded to Nmin 962addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow 963addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow 964addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow 965addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped 966addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped 967addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped 968 969addx930 add -1.00E-999 0 -> -1.00E-999 970addx931 add -0.1E-999 0 -> -1E-1000 Subnormal 971addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal 972addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded 973addx934 add -0.01E-999 0 -> -1E-1001 Subnormal 974-- next is rounded to Nmin 975addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow 976addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow 977addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow 978addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped 979addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped 980addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped 981 982-- some non-zero subnormal adds 983addx950 add 1.00E-999 0.1E-999 -> 1.10E-999 984addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal 985addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal 986addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded 987addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal 988addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded 989addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow 990addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow 991addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow 992addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow 993addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow 994-- negatives... 995addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal 996addx962 add 0.1E-999 -0.1E-999 -> 0E-1000 997addx963 add 0.10E-999 -0.1E-999 -> 0E-1001 998addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped 999addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal 1000addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow 1001addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped 1002addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow 1003addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow 1004addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow 1005addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow 1006 1007-- some 'real' numbers 1008maxExponent: 384 1009minExponent: -383 1010precision: 8 1011addx566 add 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal 1012precision: 7 1013addx567 add 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal 1014precision: 6 1015addx568 add 99999061735E-394 0E-394 -> 9.9999E-384 Inexact Rounded Underflow Subnormal 1016 1017-- now the case where we can get underflow but the result is normal 1018-- [note this can't happen if the operands are also bounded, as we 1019-- cannot represent 1E-399, for example] 1020precision: 16 1021rounding: half_up 1022maxExponent: 384 1023minExponent: -383 1024 1025addx571 add 1E-383 0 -> 1E-383 1026addx572 add 1E-384 0 -> 1E-384 Subnormal 1027addx573 add 1E-383 1E-384 -> 1.1E-383 1028addx574 subtract 1E-383 1E-384 -> 9E-384 Subnormal 1029 1030-- Here we explore the boundary of rounding a subnormal to Nmin 1031addx575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal 1032addx576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal 1033addx577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded 1034addx578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded 1035addx579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded 1036addx580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded 1037 1038-- check overflow edge case 1039precision: 7 1040rounding: half_up 1041maxExponent: 96 1042minExponent: -95 1043addx972 apply 9.999999E+96 -> 9.999999E+96 1044addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded 1045addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded 1046addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded 1047addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded 1048addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded 1049addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded 1050addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded 1051addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded 1052addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded 1053addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded 1054addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded 1055addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded 1056 1057addx985 apply -9.999999E+96 -> -9.999999E+96 1058addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded 1059addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded 1060addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded 1061addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded 1062addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded 1063addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded 1064addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded 1065addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded 1066addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded 1067addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded 1068addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded 1069addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded 1070 1071-- check for double-rounded subnormals 1072precision: 5 1073maxexponent: 79 1074minexponent: -79 1075-- Add: lhs and rhs 0 1076addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow 1077addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow 1078addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow 1079addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnorma…
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