1------------------------------------------------------------------------ 2-- ddMax.decTest -- decDouble maxnum -- 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: 2.59 21 22-- we assume that base comparison is tested in compare.decTest, so 23-- these mainly cover special cases and rounding 24precision: 16 25maxExponent: 384 26minExponent: -383 27extended: 1 28clamp: 1 29rounding: half_even 30 31-- sanity checks 32ddmax001 max -2 -2 -> -2 33ddmax002 max -2 -1 -> -1 34ddmax003 max -2 0 -> 0 35ddmax004 max -2 1 -> 1 36ddmax005 max -2 2 -> 2 37ddmax006 max -1 -2 -> -1 38ddmax007 max -1 -1 -> -1 39ddmax008 max -1 0 -> 0 40ddmax009 max -1 1 -> 1 41ddmax010 max -1 2 -> 2 42ddmax011 max 0 -2 -> 0 43ddmax012 max 0 -1 -> 0 44ddmax013 max 0 0 -> 0 45ddmax014 max 0 1 -> 1 46ddmax015 max 0 2 -> 2 47ddmax016 max 1 -2 -> 1 48ddmax017 max 1 -1 -> 1 49ddmax018 max 1 0 -> 1 50ddmax019 max 1 1 -> 1 51ddmax020 max 1 2 -> 2 52ddmax021 max 2 -2 -> 2 53ddmax022 max 2 -1 -> 2 54ddmax023 max 2 0 -> 2 55ddmax025 max 2 1 -> 2 56ddmax026 max 2 2 -> 2 57 58-- extended zeros 59ddmax030 max 0 0 -> 0 60ddmax031 max 0 -0 -> 0 61ddmax032 max 0 -0.0 -> 0 62ddmax033 max 0 0.0 -> 0 63ddmax034 max -0 0 -> 0 -- note: -0 = 0, but 0 chosen 64ddmax035 max -0 -0 -> -0 65ddmax036 max -0 -0.0 -> -0.0 66ddmax037 max -0 0.0 -> 0.0 67ddmax038 max 0.0 0 -> 0 68ddmax039 max 0.0 -0 -> 0.0 69ddmax040 max 0.0 -0.0 -> 0.0 70ddmax041 max 0.0 0.0 -> 0.0 71ddmax042 max -0.0 0 -> 0 72ddmax043 max -0.0 -0 -> -0.0 73ddmax044 max -0.0 -0.0 -> -0.0 74ddmax045 max -0.0 0.0 -> 0.0 75 76ddmax050 max -0E1 0E1 -> 0E+1 77ddmax051 max -0E2 0E2 -> 0E+2 78ddmax052 max -0E2 0E1 -> 0E+1 79ddmax053 max -0E1 0E2 -> 0E+2 80ddmax054 max 0E1 -0E1 -> 0E+1 81ddmax055 max 0E2 -0E2 -> 0E+2 82ddmax056 max 0E2 -0E1 -> 0E+2 83ddmax057 max 0E1 -0E2 -> 0E+1 84 85ddmax058 max 0E1 0E1 -> 0E+1 86ddmax059 max 0E2 0E2 -> 0E+2 87ddmax060 max 0E2 0E1 -> 0E+2 88ddmax061 max 0E1 0E2 -> 0E+2 89ddmax062 max -0E1 -0E1 -> -0E+1 90ddmax063 max -0E2 -0E2 -> -0E+2 91ddmax064 max -0E2 -0E1 -> -0E+1 92ddmax065 max -0E1 -0E2 -> -0E+1 93 94-- Specials 95ddmax090 max Inf -Inf -> Infinity 96ddmax091 max Inf -1000 -> Infinity 97ddmax092 max Inf -1 -> Infinity 98ddmax093 max Inf -0 -> Infinity 99ddmax094 max Inf 0 -> Infinity 100ddmax095 max Inf 1 -> Infinity 101ddmax096 max Inf 1000 -> Infinity 102ddmax097 max Inf Inf -> Infinity 103ddmax098 max -1000 Inf -> Infinity 104ddmax099 max -Inf Inf -> Infinity 105ddmax100 max -1 Inf -> Infinity 106ddmax101 max -0 Inf -> Infinity 107ddmax102 max 0 Inf -> Infinity 108ddmax103 max 1 Inf -> Infinity 109ddmax104 max 1000 Inf -> Infinity 110ddmax105 max Inf Inf -> Infinity 111 112ddmax120 max -Inf -Inf -> -Infinity 113ddmax121 max -Inf -1000 -> -1000 114ddmax122 max -Inf -1 -> -1 115ddmax123 max -Inf -0 -> -0 116ddmax124 max -Inf 0 -> 0 117ddmax125 max -Inf 1 -> 1 118ddmax126 max -Inf 1000 -> 1000 119ddmax127 max -Inf Inf -> Infinity 120ddmax128 max -Inf -Inf -> -Infinity 121ddmax129 max -1000 -Inf -> -1000 122ddmax130 max -1 -Inf -> -1 123ddmax131 max -0 -Inf -> -0 124ddmax132 max 0 -Inf -> 0 125ddmax133 max 1 -Inf -> 1 126ddmax134 max 1000 -Inf -> 1000 127ddmax135 max Inf -Inf -> Infinity 128 129-- 2004.08.02 754r chooses number over NaN in mixed cases 130ddmax141 max NaN -Inf -> -Infinity 131ddmax142 max NaN -1000 -> -1000 132ddmax143 max NaN -1 -> -1 133ddmax144 max NaN -0 -> -0 134ddmax145 max NaN 0 -> 0 135ddmax146 max NaN 1 -> 1 136ddmax147 max NaN 1000 -> 1000 137ddmax148 max NaN Inf -> Infinity 138ddmax149 max NaN NaN -> NaN 139ddmax150 max -Inf NaN -> -Infinity 140ddmax151 max -1000 NaN -> -1000 141ddmax152 max -1 NaN -> -1 142ddmax153 max -0 NaN -> -0 143ddmax154 max 0 NaN -> 0 144ddmax155 max 1 NaN -> 1 145ddmax156 max 1000 NaN -> 1000 146ddmax157 max Inf NaN -> Infinity 147 148ddmax161 max sNaN -Inf -> NaN Invalid_operation 149ddmax162 max sNaN -1000 -> NaN Invalid_operation 150ddmax163 max sNaN -1 -> NaN Invalid_operation 151ddmax164 max sNaN -0 -> NaN Invalid_operation 152ddmax165 max sNaN 0 -> NaN Invalid_operation 153ddmax166 max sNaN 1 -> NaN Invalid_operation 154ddmax167 max sNaN 1000 -> NaN Invalid_operation 155ddmax168 max sNaN NaN -> NaN Invalid_operation 156ddmax169 max sNaN sNaN -> NaN Invalid_operation 157ddmax170 max NaN sNaN -> NaN Invalid_operation 158ddmax171 max -Inf sNaN -> NaN Invalid_operation 159ddmax172 max -1000 sNaN -> NaN Invalid_operation 160ddmax173 max -1 sNaN -> NaN Invalid_operation 161ddmax174 max -0 sNaN -> NaN Invalid_operation 162ddmax175 max 0 sNaN -> NaN Invalid_operation 163ddmax176 max 1 sNaN -> NaN Invalid_operation 164ddmax177 max 1000 sNaN -> NaN Invalid_operation 165ddmax178 max Inf sNaN -> NaN Invalid_operation 166ddmax179 max NaN sNaN -> NaN Invalid_operation 167 168-- propagating NaNs 169ddmax181 max NaN9 -Inf -> -Infinity 170ddmax182 max NaN8 9 -> 9 171ddmax183 max -NaN7 Inf -> Infinity 172 173ddmax184 max -NaN1 NaN11 -> -NaN1 174ddmax185 max NaN2 NaN12 -> NaN2 175ddmax186 max -NaN13 -NaN7 -> -NaN13 176ddmax187 max NaN14 -NaN5 -> NaN14 177 178ddmax188 max -Inf NaN4 -> -Infinity 179ddmax189 max -9 -NaN3 -> -9 180ddmax190 max Inf NaN2 -> Infinity 181 182ddmax191 max sNaN99 -Inf -> NaN99 Invalid_operation 183ddmax192 max sNaN98 -1 -> NaN98 Invalid_operation 184ddmax193 max -sNaN97 NaN -> -NaN97 Invalid_operation 185ddmax194 max sNaN96 sNaN94 -> NaN96 Invalid_operation 186ddmax195 max NaN95 sNaN93 -> NaN93 Invalid_operation 187ddmax196 max -Inf sNaN92 -> NaN92 Invalid_operation 188ddmax197 max 0 sNaN91 -> NaN91 Invalid_operation 189ddmax198 max Inf -sNaN90 -> -NaN90 Invalid_operation 190ddmax199 max NaN sNaN89 -> NaN89 Invalid_operation 191 192-- old rounding checks 193ddmax221 max 12345678000 1 -> 12345678000 194ddmax222 max 1 12345678000 -> 12345678000 195ddmax223 max 1234567800 1 -> 1234567800 196ddmax224 max 1 1234567800 -> 1234567800 197ddmax225 max 1234567890 1 -> 1234567890 198ddmax226 max 1 1234567890 -> 1234567890 199ddmax227 max 1234567891 1 -> 1234567891 200ddmax228 max 1 1234567891 -> 1234567891 201ddmax229 max 12345678901 1 -> 12345678901 202ddmax230 max 1 12345678901 -> 12345678901 203ddmax231 max 1234567896 1 -> 1234567896 204ddmax232 max 1 1234567896 -> 1234567896 205ddmax233 max -1234567891 1 -> 1 206ddmax234 max 1 -1234567891 -> 1 207ddmax235 max -12345678901 1 -> 1 208ddmax236 max 1 -12345678901 -> 1 209ddmax237 max -1234567896 1 -> 1 210ddmax238 max 1 -1234567896 -> 1 211 212-- from examples 213ddmax280 max '3' '2' -> '3' 214ddmax281 max '-10' '3' -> '3' 215ddmax282 max '1.0' '1' -> '1' 216ddmax283 max '1' '1.0' -> '1' 217ddmax284 max '7' 'NaN' -> '7' 218 219-- expanded list from min/max 754r purple prose 220-- [explicit tests for exponent ordering] 221ddmax401 max Inf 1.1 -> Infinity 222ddmax402 max 1.1 1 -> 1.1 223ddmax403 max 1 1.0 -> 1 224ddmax404 max 1.0 0.1 -> 1.0 225ddmax405 max 0.1 0.10 -> 0.1 226ddmax406 max 0.10 0.100 -> 0.10 227ddmax407 max 0.10 0 -> 0.10 228ddmax408 max 0 0.0 -> 0 229ddmax409 max 0.0 -0 -> 0.0 230ddmax410 max 0.0 -0.0 -> 0.0 231ddmax411 max 0.00 -0.0 -> 0.00 232ddmax412 max 0.0 -0.00 -> 0.0 233ddmax413 max 0 -0.0 -> 0 234ddmax414 max 0 -0 -> 0 235ddmax415 max -0.0 -0 -> -0.0 236ddmax416 max -0 -0.100 -> -0 237ddmax417 max -0.100 -0.10 -> -0.100 238ddmax418 max -0.10 -0.1 -> -0.10 239ddmax419 max -0.1 -1.0 -> -0.1 240ddmax420 max -1.0 -1 -> -1.0 241ddmax421 max -1 -1.1 -> -1 242ddmax423 max -1.1 -Inf -> -1.1 243-- same with operands reversed 244ddmax431 max 1.1 Inf -> Infinity 245ddmax432 max 1 1.1 -> 1.1 246ddmax433 max 1.0 1 -> 1 247ddmax434 max 0.1 1.0 -> 1.0 248ddmax435 max 0.10 0.1 -> 0.1 249ddmax436 max 0.100 0.10 -> 0.10 250ddmax437 max 0 0.10 -> 0.10 251ddmax438 max 0.0 0 -> 0 252ddmax439 max -0 0.0 -> 0.0 253ddmax440 max -0.0 0.0 -> 0.0 254ddmax441 max -0.0 0.00 -> 0.00 255ddmax442 max -0.00 0.0 -> 0.0 256ddmax443 max -0.0 0 -> 0 257ddmax444 max -0 0 -> 0 258ddmax445 max -0 -0.0 -> -0.0 259ddmax446 max -0.100 -0 -> -0 260ddmax447 max -0.10 -0.100 -> -0.100 261ddmax448 max -0.1 -0.10 -> -0.10 262ddmax449 max -1.0 -0.1 -> -0.1 263ddmax450 max -1 -1.0 -> -1.0 264ddmax451 max -1.1 -1 -> -1 265ddmax453 max -Inf -1.1 -> -1.1 266-- largies 267ddmax460 max 1000 1E+3 -> 1E+3 268ddmax461 max 1E+3 1000 -> 1E+3 269ddmax462 max 1000 -1E+3 -> 1000 270ddmax463 max 1E+3 -1000 -> 1E+3 271ddmax464 max -1000 1E+3 -> 1E+3 272ddmax465 max -1E+3 1000 -> 1000 273ddmax466 max -1000 -1E+3 -> -1000 274ddmax467 max -1E+3 -1000 -> -1000 275 276-- misalignment traps for little-endian 277ddmax471 max 1.0 0.1 -> 1.0 278ddmax472 max 0.1 1.0 -> 1.0 279ddmax473 max 10.0 0.1 -> 10.0 280ddmax474 max 0.1 10.0 -> 10.0 281ddmax475 max 100 1.0 -> 100 282ddmax476 max 1.0 100 -> 100 283ddmax477 max 1000 10.0 -> 1000 284ddmax478 max 10.0 1000 -> 1000 285ddmax479 max 10000 100.0 -> 10000 286ddmax480 max 100.0 10000 -> 10000 287ddmax481 max 100000 1000.0 -> 100000 288ddmax482 max 1000.0 100000 -> 100000 289ddmax483 max 1000000 10000.0 -> 1000000 290ddmax484 max 10000.0 1000000 -> 1000000 291 292-- subnormals 293ddmax510 max 1.00E-383 0 -> 1.00E-383 294ddmax511 max 0.1E-383 0 -> 1E-384 Subnormal 295ddmax512 max 0.10E-383 0 -> 1.0E-384 Subnormal 296ddmax513 max 0.100E-383 0 -> 1.00E-384 Subnormal 297ddmax514 max 0.01E-383 0 -> 1E-385 Subnormal 298ddmax515 max 0.999E-383 0 -> 9.99E-384 Subnormal 299ddmax516 max 0.099E-383 0 -> 9.9E-385 Subnormal 300ddmax517 max 0.009E-383 0 -> 9E-386 Subnormal 301ddmax518 max 0.001E-383 0 -> 1E-386 Subnormal 302ddmax519 max 0.0009E-383 0 -> 9E-387 Subnormal 303ddmax520 max 0.0001E-383 0 -> 1E-387 Subnormal 304 305ddmax530 max -1.00E-383 0 -> 0 306ddmax531 max -0.1E-383 0 -> 0 307ddmax532 max -0.10E-383 0 -> 0 308ddmax533 max -0.100E-383 0 -> 0 309ddmax534 max -0.01E-383 0 -> 0 310ddmax535 max -0.999E-383 0 -> 0 311ddmax536 max -0.099E-383 0 -> 0 312ddmax537 max -0.009E-383 0 -> 0 313ddmax538 max -0.001E-383 0 -> 0 314ddmax539 max -0.0009E-383 0 -> 0 315ddmax540 max -0.0001E-383 0 -> 0 316 317-- Null tests 318ddmax900 max 10 # -> NaN Invalid_operation 319ddmax901 max # 10 -> NaN Invalid_operation 320 321 322 323