1------------------------------------------------------------------------ 2-- ddMaxMag.decTest -- decDouble maxnummag -- 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 32ddmxg001 maxmag -2 -2 -> -2 33ddmxg002 maxmag -2 -1 -> -2 34ddmxg003 maxmag -2 0 -> -2 35ddmxg004 maxmag -2 1 -> -2 36ddmxg005 maxmag -2 2 -> 2 37ddmxg006 maxmag -1 -2 -> -2 38ddmxg007 maxmag -1 -1 -> -1 39ddmxg008 maxmag -1 0 -> -1 40ddmxg009 maxmag -1 1 -> 1 41ddmxg010 maxmag -1 2 -> 2 42ddmxg011 maxmag 0 -2 -> -2 43ddmxg012 maxmag 0 -1 -> -1 44ddmxg013 maxmag 0 0 -> 0 45ddmxg014 maxmag 0 1 -> 1 46ddmxg015 maxmag 0 2 -> 2 47ddmxg016 maxmag 1 -2 -> -2 48ddmxg017 maxmag 1 -1 -> 1 49ddmxg018 maxmag 1 0 -> 1 50ddmxg019 maxmag 1 1 -> 1 51ddmxg020 maxmag 1 2 -> 2 52ddmxg021 maxmag 2 -2 -> 2 53ddmxg022 maxmag 2 -1 -> 2 54ddmxg023 maxmag 2 0 -> 2 55ddmxg025 maxmag 2 1 -> 2 56ddmxg026 maxmag 2 2 -> 2 57 58-- extended zeros 59ddmxg030 maxmag 0 0 -> 0 60ddmxg031 maxmag 0 -0 -> 0 61ddmxg032 maxmag 0 -0.0 -> 0 62ddmxg033 maxmag 0 0.0 -> 0 63ddmxg034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen 64ddmxg035 maxmag -0 -0 -> -0 65ddmxg036 maxmag -0 -0.0 -> -0.0 66ddmxg037 maxmag -0 0.0 -> 0.0 67ddmxg038 maxmag 0.0 0 -> 0 68ddmxg039 maxmag 0.0 -0 -> 0.0 69ddmxg040 maxmag 0.0 -0.0 -> 0.0 70ddmxg041 maxmag 0.0 0.0 -> 0.0 71ddmxg042 maxmag -0.0 0 -> 0 72ddmxg043 maxmag -0.0 -0 -> -0.0 73ddmxg044 maxmag -0.0 -0.0 -> -0.0 74ddmxg045 maxmag -0.0 0.0 -> 0.0 75 76ddmxg050 maxmag -0E1 0E1 -> 0E+1 77ddmxg051 maxmag -0E2 0E2 -> 0E+2 78ddmxg052 maxmag -0E2 0E1 -> 0E+1 79ddmxg053 maxmag -0E1 0E2 -> 0E+2 80ddmxg054 maxmag 0E1 -0E1 -> 0E+1 81ddmxg055 maxmag 0E2 -0E2 -> 0E+2 82ddmxg056 maxmag 0E2 -0E1 -> 0E+2 83ddmxg057 maxmag 0E1 -0E2 -> 0E+1 84 85ddmxg058 maxmag 0E1 0E1 -> 0E+1 86ddmxg059 maxmag 0E2 0E2 -> 0E+2 87ddmxg060 maxmag 0E2 0E1 -> 0E+2 88ddmxg061 maxmag 0E1 0E2 -> 0E+2 89ddmxg062 maxmag -0E1 -0E1 -> -0E+1 90ddmxg063 maxmag -0E2 -0E2 -> -0E+2 91ddmxg064 maxmag -0E2 -0E1 -> -0E+1 92ddmxg065 maxmag -0E1 -0E2 -> -0E+1 93 94-- Specials 95ddmxg090 maxmag Inf -Inf -> Infinity 96ddmxg091 maxmag Inf -1000 -> Infinity 97ddmxg092 maxmag Inf -1 -> Infinity 98ddmxg093 maxmag Inf -0 -> Infinity 99ddmxg094 maxmag Inf 0 -> Infinity 100ddmxg095 maxmag Inf 1 -> Infinity 101ddmxg096 maxmag Inf 1000 -> Infinity 102ddmxg097 maxmag Inf Inf -> Infinity 103ddmxg098 maxmag -1000 Inf -> Infinity 104ddmxg099 maxmag -Inf Inf -> Infinity 105ddmxg100 maxmag -1 Inf -> Infinity 106ddmxg101 maxmag -0 Inf -> Infinity 107ddmxg102 maxmag 0 Inf -> Infinity 108ddmxg103 maxmag 1 Inf -> Infinity 109ddmxg104 maxmag 1000 Inf -> Infinity 110ddmxg105 maxmag Inf Inf -> Infinity 111 112ddmxg120 maxmag -Inf -Inf -> -Infinity 113ddmxg121 maxmag -Inf -1000 -> -Infinity 114ddmxg122 maxmag -Inf -1 -> -Infinity 115ddmxg123 maxmag -Inf -0 -> -Infinity 116ddmxg124 maxmag -Inf 0 -> -Infinity 117ddmxg125 maxmag -Inf 1 -> -Infinity 118ddmxg126 maxmag -Inf 1000 -> -Infinity 119ddmxg127 maxmag -Inf Inf -> Infinity 120ddmxg128 maxmag -Inf -Inf -> -Infinity 121ddmxg129 maxmag -1000 -Inf -> -Infinity 122ddmxg130 maxmag -1 -Inf -> -Infinity 123ddmxg131 maxmag -0 -Inf -> -Infinity 124ddmxg132 maxmag 0 -Inf -> -Infinity 125ddmxg133 maxmag 1 -Inf -> -Infinity 126ddmxg134 maxmag 1000 -Inf -> -Infinity 127ddmxg135 maxmag Inf -Inf -> Infinity 128 129-- 2004.08.02 754r chooses number over NaN in mixed cases 130ddmxg141 maxmag NaN -Inf -> -Infinity 131ddmxg142 maxmag NaN -1000 -> -1000 132ddmxg143 maxmag NaN -1 -> -1 133ddmxg144 maxmag NaN -0 -> -0 134ddmxg145 maxmag NaN 0 -> 0 135ddmxg146 maxmag NaN 1 -> 1 136ddmxg147 maxmag NaN 1000 -> 1000 137ddmxg148 maxmag NaN Inf -> Infinity 138ddmxg149 maxmag NaN NaN -> NaN 139ddmxg150 maxmag -Inf NaN -> -Infinity 140ddmxg151 maxmag -1000 NaN -> -1000 141ddmxg152 maxmag -1 NaN -> -1 142ddmxg153 maxmag -0 NaN -> -0 143ddmxg154 maxmag 0 NaN -> 0 144ddmxg155 maxmag 1 NaN -> 1 145ddmxg156 maxmag 1000 NaN -> 1000 146ddmxg157 maxmag Inf NaN -> Infinity 147 148ddmxg161 maxmag sNaN -Inf -> NaN Invalid_operation 149ddmxg162 maxmag sNaN -1000 -> NaN Invalid_operation 150ddmxg163 maxmag sNaN -1 -> NaN Invalid_operation 151ddmxg164 maxmag sNaN -0 -> NaN Invalid_operation 152ddmxg165 maxmag sNaN 0 -> NaN Invalid_operation 153ddmxg166 maxmag sNaN 1 -> NaN Invalid_operation 154ddmxg167 maxmag sNaN 1000 -> NaN Invalid_operation 155ddmxg168 maxmag sNaN NaN -> NaN Invalid_operation 156ddmxg169 maxmag sNaN sNaN -> NaN Invalid_operation 157ddmxg170 maxmag NaN sNaN -> NaN Invalid_operation 158ddmxg171 maxmag -Inf sNaN -> NaN Invalid_operation 159ddmxg172 maxmag -1000 sNaN -> NaN Invalid_operation 160ddmxg173 maxmag -1 sNaN -> NaN Invalid_operation 161ddmxg174 maxmag -0 sNaN -> NaN Invalid_operation 162ddmxg175 maxmag 0 sNaN -> NaN Invalid_operation 163ddmxg176 maxmag 1 sNaN -> NaN Invalid_operation 164ddmxg177 maxmag 1000 sNaN -> NaN Invalid_operation 165ddmxg178 maxmag Inf sNaN -> NaN Invalid_operation 166ddmxg179 maxmag NaN sNaN -> NaN Invalid_operation 167 168-- propagating NaNs 169ddmxg181 maxmag NaN9 -Inf -> -Infinity 170ddmxg182 maxmag NaN8 9 -> 9 171ddmxg183 maxmag -NaN7 Inf -> Infinity 172 173ddmxg184 maxmag -NaN1 NaN11 -> -NaN1 174ddmxg185 maxmag NaN2 NaN12 -> NaN2 175ddmxg186 maxmag -NaN13 -NaN7 -> -NaN13 176ddmxg187 maxmag NaN14 -NaN5 -> NaN14 177 178ddmxg188 maxmag -Inf NaN4 -> -Infinity 179ddmxg189 maxmag -9 -NaN3 -> -9 180ddmxg190 maxmag Inf NaN2 -> Infinity 181 182ddmxg191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation 183ddmxg192 maxmag sNaN98 -1 -> NaN98 Invalid_operation 184ddmxg193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation 185ddmxg194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation 186ddmxg195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation 187ddmxg196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation 188ddmxg197 maxmag 0 sNaN91 -> NaN91 Invalid_operation 189ddmxg198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation 190ddmxg199 maxmag NaN sNaN89 -> NaN89 Invalid_operation 191 192-- old rounding checks 193ddmxg221 maxmag 12345678000 1 -> 12345678000 194ddmxg222 maxmag 1 12345678000 -> 12345678000 195ddmxg223 maxmag 1234567800 1 -> 1234567800 196ddmxg224 maxmag 1 1234567800 -> 1234567800 197ddmxg225 maxmag 1234567890 1 -> 1234567890 198ddmxg226 maxmag 1 1234567890 -> 1234567890 199ddmxg227 maxmag 1234567891 1 -> 1234567891 200ddmxg228 maxmag 1 1234567891 -> 1234567891 201ddmxg229 maxmag 12345678901 1 -> 12345678901 202ddmxg230 maxmag 1 12345678901 -> 12345678901 203ddmxg231 maxmag 1234567896 1 -> 1234567896 204ddmxg232 maxmag 1 1234567896 -> 1234567896 205ddmxg233 maxmag -1234567891 1 -> -1234567891 206ddmxg234 maxmag 1 -1234567891 -> -1234567891 207ddmxg235 maxmag -12345678901 1 -> -12345678901 208ddmxg236 maxmag 1 -12345678901 -> -12345678901 209ddmxg237 maxmag -1234567896 1 -> -1234567896 210ddmxg238 maxmag 1 -1234567896 -> -1234567896 211 212-- from examples 213ddmxg280 maxmag '3' '2' -> '3' 214ddmxg281 maxmag '-10' '3' -> '-10' 215ddmxg282 maxmag '1.0' '1' -> '1' 216ddmxg283 maxmag '1' '1.0' -> '1' 217ddmxg284 maxmag '7' 'NaN' -> '7' 218 219-- expanded list from min/max 754r purple prose 220-- [explicit tests for exponent ordering] 221ddmxg401 maxmag Inf 1.1 -> Infinity 222ddmxg402 maxmag 1.1 1 -> 1.1 223ddmxg403 maxmag 1 1.0 -> 1 224ddmxg404 maxmag 1.0 0.1 -> 1.0 225ddmxg405 maxmag 0.1 0.10 -> 0.1 226ddmxg406 maxmag 0.10 0.100 -> 0.10 227ddmxg407 maxmag 0.10 0 -> 0.10 228ddmxg408 maxmag 0 0.0 -> 0 229ddmxg409 maxmag 0.0 -0 -> 0.0 230ddmxg410 maxmag 0.0 -0.0 -> 0.0 231ddmxg411 maxmag 0.00 -0.0 -> 0.00 232ddmxg412 maxmag 0.0 -0.00 -> 0.0 233ddmxg413 maxmag 0 -0.0 -> 0 234ddmxg414 maxmag 0 -0 -> 0 235ddmxg415 maxmag -0.0 -0 -> -0.0 236ddmxg416 maxmag -0 -0.100 -> -0.100 237ddmxg417 maxmag -0.100 -0.10 -> -0.100 238ddmxg418 maxmag -0.10 -0.1 -> -0.10 239ddmxg419 maxmag -0.1 -1.0 -> -1.0 240ddmxg420 maxmag -1.0 -1 -> -1.0 241ddmxg421 maxmag -1 -1.1 -> -1.1 242ddmxg423 maxmag -1.1 -Inf -> -Infinity 243-- same with operands reversed 244ddmxg431 maxmag 1.1 Inf -> Infinity 245ddmxg432 maxmag 1 1.1 -> 1.1 246ddmxg433 maxmag 1.0 1 -> 1 247ddmxg434 maxmag 0.1 1.0 -> 1.0 248ddmxg435 maxmag 0.10 0.1 -> 0.1 249ddmxg436 maxmag 0.100 0.10 -> 0.10 250ddmxg437 maxmag 0 0.10 -> 0.10 251ddmxg438 maxmag 0.0 0 -> 0 252ddmxg439 maxmag -0 0.0 -> 0.0 253ddmxg440 maxmag -0.0 0.0 -> 0.0 254ddmxg441 maxmag -0.0 0.00 -> 0.00 255ddmxg442 maxmag -0.00 0.0 -> 0.0 256ddmxg443 maxmag -0.0 0 -> 0 257ddmxg444 maxmag -0 0 -> 0 258ddmxg445 maxmag -0 -0.0 -> -0.0 259ddmxg446 maxmag -0.100 -0 -> -0.100 260ddmxg447 maxmag -0.10 -0.100 -> -0.100 261ddmxg448 maxmag -0.1 -0.10 -> -0.10 262ddmxg449 maxmag -1.0 -0.1 -> -1.0 263ddmxg450 maxmag -1 -1.0 -> -1.0 264ddmxg451 maxmag -1.1 -1 -> -1.1 265ddmxg453 maxmag -Inf -1.1 -> -Infinity 266-- largies 267ddmxg460 maxmag 1000 1E+3 -> 1E+3 268ddmxg461 maxmag 1E+3 1000 -> 1E+3 269ddmxg462 maxmag 1000 -1E+3 -> 1000 270ddmxg463 maxmag 1E+3 -1000 -> 1E+3 271ddmxg464 maxmag -1000 1E+3 -> 1E+3 272ddmxg465 maxmag -1E+3 1000 -> 1000 273ddmxg466 maxmag -1000 -1E+3 -> -1000 274ddmxg467 maxmag -1E+3 -1000 -> -1000 275 276-- subnormals 277ddmxg510 maxmag 1.00E-383 0 -> 1.00E-383 278ddmxg511 maxmag 0.1E-383 0 -> 1E-384 Subnormal 279ddmxg512 maxmag 0.10E-383 0 -> 1.0E-384 Subnormal 280ddmxg513 maxmag 0.100E-383 0 -> 1.00E-384 Subnormal 281ddmxg514 maxmag 0.01E-383 0 -> 1E-385 Subnormal 282ddmxg515 maxmag 0.999E-383 0 -> 9.99E-384 Subnormal 283ddmxg516 maxmag 0.099E-383 0 -> 9.9E-385 Subnormal 284ddmxg517 maxmag 0.009E-383 0 -> 9E-386 Subnormal 285ddmxg518 maxmag 0.001E-383 0 -> 1E-386 Subnormal 286ddmxg519 maxmag 0.0009E-383 0 -> 9E-387 Subnormal 287ddmxg520 maxmag 0.0001E-383 0 -> 1E-387 Subnormal 288 289ddmxg530 maxmag -1.00E-383 0 -> -1.00E-383 290ddmxg531 maxmag -0.1E-383 0 -> -1E-384 Subnormal 291ddmxg532 maxmag -0.10E-383 0 -> -1.0E-384 Subnormal 292ddmxg533 maxmag -0.100E-383 0 -> -1.00E-384 Subnormal 293ddmxg534 maxmag -0.01E-383 0 -> -1E-385 Subnormal 294ddmxg535 maxmag -0.999E-383 0 -> -9.99E-384 Subnormal 295ddmxg536 maxmag -0.099E-383 0 -> -9.9E-385 Subnormal 296ddmxg537 maxmag -0.009E-383 0 -> -9E-386 Subnormal 297ddmxg538 maxmag -0.001E-383 0 -> -1E-386 Subnormal 298ddmxg539 maxmag -0.0009E-383 0 -> -9E-387 Subnormal 299ddmxg540 maxmag -0.0001E-383 0 -> -1E-387 Subnormal 300 301-- Null tests 302ddmxg900 maxmag 10 # -> NaN Invalid_operation 303ddmxg901 maxmag # 10 -> NaN Invalid_operation 304 305