1------------------------------------------------------------------------ 2-- max.decTest -- decimal maximum -- 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 24 25extended: 1 26precision: 9 27rounding: half_up 28maxExponent: 384 29minexponent: -383 30 31-- sanity checks 32maxx001 max -2 -2 -> -2 33maxx002 max -2 -1 -> -1 34maxx003 max -2 0 -> 0 35maxx004 max -2 1 -> 1 36maxx005 max -2 2 -> 2 37maxx006 max -1 -2 -> -1 38maxx007 max -1 -1 -> -1 39maxx008 max -1 0 -> 0 40maxx009 max -1 1 -> 1 41maxx010 max -1 2 -> 2 42maxx011 max 0 -2 -> 0 43maxx012 max 0 -1 -> 0 44maxx013 max 0 0 -> 0 45maxx014 max 0 1 -> 1 46maxx015 max 0 2 -> 2 47maxx016 max 1 -2 -> 1 48maxx017 max 1 -1 -> 1 49maxx018 max 1 0 -> 1 50maxx019 max 1 1 -> 1 51maxx020 max 1 2 -> 2 52maxx021 max 2 -2 -> 2 53maxx022 max 2 -1 -> 2 54maxx023 max 2 0 -> 2 55maxx025 max 2 1 -> 2 56maxx026 max 2 2 -> 2 57 58-- extended zeros 59maxx030 max 0 0 -> 0 60maxx031 max 0 -0 -> 0 61maxx032 max 0 -0.0 -> 0 62maxx033 max 0 0.0 -> 0 63maxx034 max -0 0 -> 0 -- note: -0 = 0, but 0 chosen 64maxx035 max -0 -0 -> -0 65maxx036 max -0 -0.0 -> -0.0 66maxx037 max -0 0.0 -> 0.0 67maxx038 max 0.0 0 -> 0 68maxx039 max 0.0 -0 -> 0.0 69maxx040 max 0.0 -0.0 -> 0.0 70maxx041 max 0.0 0.0 -> 0.0 71maxx042 max -0.0 0 -> 0 72maxx043 max -0.0 -0 -> -0.0 73maxx044 max -0.0 -0.0 -> -0.0 74maxx045 max -0.0 0.0 -> 0.0 75 76maxx050 max -0E1 0E1 -> 0E+1 77maxx051 max -0E2 0E2 -> 0E+2 78maxx052 max -0E2 0E1 -> 0E+1 79maxx053 max -0E1 0E2 -> 0E+2 80maxx054 max 0E1 -0E1 -> 0E+1 81maxx055 max 0E2 -0E2 -> 0E+2 82maxx056 max 0E2 -0E1 -> 0E+2 83maxx057 max 0E1 -0E2 -> 0E+1 84 85maxx058 max 0E1 0E1 -> 0E+1 86maxx059 max 0E2 0E2 -> 0E+2 87maxx060 max 0E2 0E1 -> 0E+2 88maxx061 max 0E1 0E2 -> 0E+2 89maxx062 max -0E1 -0E1 -> -0E+1 90maxx063 max -0E2 -0E2 -> -0E+2 91maxx064 max -0E2 -0E1 -> -0E+1 92maxx065 max -0E1 -0E2 -> -0E+1 93 94-- Specials 95precision: 9 96maxx090 max Inf -Inf -> Infinity 97maxx091 max Inf -1000 -> Infinity 98maxx092 max Inf -1 -> Infinity 99maxx093 max Inf -0 -> Infinity 100maxx094 max Inf 0 -> Infinity 101maxx095 max Inf 1 -> Infinity 102maxx096 max Inf 1000 -> Infinity 103maxx097 max Inf Inf -> Infinity 104maxx098 max -1000 Inf -> Infinity 105maxx099 max -Inf Inf -> Infinity 106maxx100 max -1 Inf -> Infinity 107maxx101 max -0 Inf -> Infinity 108maxx102 max 0 Inf -> Infinity 109maxx103 max 1 Inf -> Infinity 110maxx104 max 1000 Inf -> Infinity 111maxx105 max Inf Inf -> Infinity 112 113maxx120 max -Inf -Inf -> -Infinity 114maxx121 max -Inf -1000 -> -1000 115maxx122 max -Inf -1 -> -1 116maxx123 max -Inf -0 -> -0 117maxx124 max -Inf 0 -> 0 118maxx125 max -Inf 1 -> 1 119maxx126 max -Inf 1000 -> 1000 120maxx127 max -Inf Inf -> Infinity 121maxx128 max -Inf -Inf -> -Infinity 122maxx129 max -1000 -Inf -> -1000 123maxx130 max -1 -Inf -> -1 124maxx131 max -0 -Inf -> -0 125maxx132 max 0 -Inf -> 0 126maxx133 max 1 -Inf -> 1 127maxx134 max 1000 -Inf -> 1000 128maxx135 max Inf -Inf -> Infinity 129 130-- 2004.08.02 754r chooses number over NaN in mixed cases 131maxx141 max NaN -Inf -> -Infinity 132maxx142 max NaN -1000 -> -1000 133maxx143 max NaN -1 -> -1 134maxx144 max NaN -0 -> -0 135maxx145 max NaN 0 -> 0 136maxx146 max NaN 1 -> 1 137maxx147 max NaN 1000 -> 1000 138maxx148 max NaN Inf -> Infinity 139maxx149 max NaN NaN -> NaN 140maxx150 max -Inf NaN -> -Infinity 141maxx151 max -1000 NaN -> -1000 142maxx152 max -1 NaN -> -1 143maxx153 max -0 NaN -> -0 144maxx154 max 0 NaN -> 0 145maxx155 max 1 NaN -> 1 146maxx156 max 1000 NaN -> 1000 147maxx157 max Inf NaN -> Infinity 148 149maxx161 max sNaN -Inf -> NaN Invalid_operation 150maxx162 max sNaN -1000 -> NaN Invalid_operation 151maxx163 max sNaN -1 -> NaN Invalid_operation 152maxx164 max sNaN -0 -> NaN Invalid_operation 153maxx165 max sNaN 0 -> NaN Invalid_operation 154maxx166 max sNaN 1 -> NaN Invalid_operation 155maxx167 max sNaN 1000 -> NaN Invalid_operation 156maxx168 max sNaN NaN -> NaN Invalid_operation 157maxx169 max sNaN sNaN -> NaN Invalid_operation 158maxx170 max NaN sNaN -> NaN Invalid_operation 159maxx171 max -Inf sNaN -> NaN Invalid_operation 160maxx172 max -1000 sNaN -> NaN Invalid_operation 161maxx173 max -1 sNaN -> NaN Invalid_operation 162maxx174 max -0 sNaN -> NaN Invalid_operation 163maxx175 max 0 sNaN -> NaN Invalid_operation 164maxx176 max 1 sNaN -> NaN Invalid_operation 165maxx177 max 1000 sNaN -> NaN Invalid_operation 166maxx178 max Inf sNaN -> NaN Invalid_operation 167maxx179 max NaN sNaN -> NaN Invalid_operation 168 169-- propagating NaNs 170maxx181 max NaN9 -Inf -> -Infinity 171maxx182 max NaN8 9 -> 9 172maxx183 max -NaN7 Inf -> Infinity 173 174maxx184 max -NaN1 NaN11 -> -NaN1 175maxx185 max NaN2 NaN12 -> NaN2 176maxx186 max -NaN13 -NaN7 -> -NaN13 177maxx187 max NaN14 -NaN5 -> NaN14 178 179maxx188 max -Inf NaN4 -> -Infinity 180maxx189 max -9 -NaN3 -> -9 181maxx190 max Inf NaN2 -> Infinity 182 183maxx191 max sNaN99 -Inf -> NaN99 Invalid_operation 184maxx192 max sNaN98 -1 -> NaN98 Invalid_operation 185maxx193 max -sNaN97 NaN -> -NaN97 Invalid_operation 186maxx194 max sNaN96 sNaN94 -> NaN96 Invalid_operation 187maxx195 max NaN95 sNaN93 -> NaN93 Invalid_operation 188maxx196 max -Inf sNaN92 -> NaN92 Invalid_operation 189maxx197 max 0 sNaN91 -> NaN91 Invalid_operation 190maxx198 max Inf -sNaN90 -> -NaN90 Invalid_operation 191maxx199 max NaN sNaN89 -> NaN89 Invalid_operation 192 193-- rounding checks 194maxexponent: 999 195minexponent: -999 196precision: 9 197maxx201 max 12345678000 1 -> 1.23456780E+10 Rounded 198maxx202 max 1 12345678000 -> 1.23456780E+10 Rounded 199maxx203 max 1234567800 1 -> 1.23456780E+9 Rounded 200maxx204 max 1 1234567800 -> 1.23456780E+9 Rounded 201maxx205 max 1234567890 1 -> 1.23456789E+9 Rounded 202maxx206 max 1 1234567890 -> 1.23456789E+9 Rounded 203maxx207 max 1234567891 1 -> 1.23456789E+9 Inexact Rounded 204maxx208 max 1 1234567891 -> 1.23456789E+9 Inexact Rounded 205maxx209 max 12345678901 1 -> 1.23456789E+10 Inexact Rounded 206maxx210 max 1 12345678901 -> 1.23456789E+10 Inexact Rounded 207maxx211 max 1234567896 1 -> 1.23456790E+9 Inexact Rounded 208maxx212 max 1 1234567896 -> 1.23456790E+9 Inexact Rounded 209maxx213 max -1234567891 1 -> 1 210maxx214 max 1 -1234567891 -> 1 211maxx215 max -12345678901 1 -> 1 212maxx216 max 1 -12345678901 -> 1 213maxx217 max -1234567896 1 -> 1 214maxx218 max 1 -1234567896 -> 1 215 216precision: 15 217maxx221 max 12345678000 1 -> 12345678000 218maxx222 max 1 12345678000 -> 12345678000 219maxx223 max 1234567800 1 -> 1234567800 220maxx224 max 1 1234567800 -> 1234567800 221maxx225 max 1234567890 1 -> 1234567890 222maxx226 max 1 1234567890 -> 1234567890 223maxx227 max 1234567891 1 -> 1234567891 224maxx228 max 1 1234567891 -> 1234567891 225maxx229 max 12345678901 1 -> 12345678901 226maxx230 max 1 12345678901 -> 12345678901 227maxx231 max 1234567896 1 -> 1234567896 228maxx232 max 1 1234567896 -> 1234567896 229maxx233 max -1234567891 1 -> 1 230maxx234 max 1 -1234567891 -> 1 231maxx235 max -12345678901 1 -> 1 232maxx236 max 1 -12345678901 -> 1 233maxx237 max -1234567896 1 -> 1 234maxx238 max 1 -1234567896 -> 1 235 236-- from examples 237maxx280 max '3' '2' -> '3' 238maxx281 max '-10' '3' -> '3' 239maxx282 max '1.0' '1' -> '1' 240maxx283 max '1' '1.0' -> '1' 241maxx284 max '7' 'NaN' -> '7' 242 243-- overflow and underflow tests ... 244maxExponent: 999999999 245minexponent: -999999999 246maxx330 max +1.23456789012345E-0 9E+999999999 -> 9E+999999999 247maxx331 max 9E+999999999 +1.23456789012345E-0 -> 9E+999999999 248maxx332 max +0.100 9E-999999999 -> 0.100 249maxx333 max 9E-999999999 +0.100 -> 0.100 250maxx335 max -1.23456789012345E-0 9E+999999999 -> 9E+999999999 251maxx336 max 9E+999999999 -1.23456789012345E-0 -> 9E+999999999 252maxx337 max -0.100 9E-999999999 -> 9E-999999999 253maxx338 max 9E-999999999 -0.100 -> 9E-999999999 254 255maxx339 max 1e-599999999 1e-400000001 -> 1E-400000001 256maxx340 max 1e-599999999 1e-400000000 -> 1E-400000000 257maxx341 max 1e-600000000 1e-400000000 -> 1E-400000000 258maxx342 max 9e-999999998 0.01 -> 0.01 259maxx343 max 9e-999999998 0.1 -> 0.1 260maxx344 max 0.01 9e-999999998 -> 0.01 261maxx345 max 1e599999999 1e400000001 -> 1E+599999999 262maxx346 max 1e599999999 1e400000000 -> 1E+599999999 263maxx347 max 1e600000000 1e400000000 -> 1E+600000000 264maxx348 max 9e999999998 100 -> 9E+999999998 265maxx349 max 9e999999998 10 -> 9E+999999998 266maxx350 max 100 9e999999998 -> 9E+999999998 267-- signs 268maxx351 max 1e+777777777 1e+411111111 -> 1E+777777777 269maxx352 max 1e+777777777 -1e+411111111 -> 1E+777777777 270maxx353 max -1e+777777777 1e+411111111 -> 1E+411111111 271maxx354 max -1e+777777777 -1e+411111111 -> -1E+411111111 272maxx355 max 1e-777777777 1e-411111111 -> 1E-411111111 273maxx356 max 1e-777777777 -1e-411111111 -> 1E-777777777 274maxx357 max -1e-777777777 1e-411111111 -> 1E-411111111 275maxx358 max -1e-777777777 -1e-411111111 -> -1E-777777777 276 277-- expanded list from min/max 754r purple prose 278-- [explicit tests for exponent ordering] 279maxx401 max Inf 1.1 -> Infinity 280maxx402 max 1.1 1 -> 1.1 281maxx403 max 1 1.0 -> 1 282maxx404 max 1.0 0.1 -> 1.0 283maxx405 max 0.1 0.10 -> 0.1 284maxx406 max 0.10 0.100 -> 0.10 285maxx407 max 0.10 0 -> 0.10 286maxx408 max 0 0.0 -> 0 287maxx409 max 0.0 -0 -> 0.0 288maxx410 max 0.0 -0.0 -> 0.0 289maxx411 max 0.00 -0.0 -> 0.00 290maxx412 max 0.0 -0.00 -> 0.0 291maxx413 max 0 -0.0 -> 0 292maxx414 max 0 -0 -> 0 293maxx415 max -0.0 -0 -> -0.0 294maxx416 max -0 -0.100 -> -0 295maxx417 max -0.100 -0.10 -> -0.100 296maxx418 max -0.10 -0.1 -> -0.10 297maxx419 max -0.1 -1.0 -> -0.1 298maxx420 max -1.0 -1 -> -1.0 299maxx421 max -1 -1.1 -> -1 300maxx423 max -1.1 -Inf -> -1.1 301-- same with operands reversed 302maxx431 max 1.1 Inf -> Infinity 303maxx432 max 1 1.1 -> 1.1 304maxx433 max 1.0 1 -> 1 305maxx434 max 0.1 1.0 -> 1.0 306maxx435 max 0.10 0.1 -> 0.1 307maxx436 max 0.100 0.10 -> 0.10 308maxx437 max 0 0.10 -> 0.10 309maxx438 max 0.0 0 -> 0 310maxx439 max -0 0.0 -> 0.0 311maxx440 max -0.0 0.0 -> 0.0 312maxx441 max -0.0 0.00 -> 0.00 313maxx442 max -0.00 0.0 -> 0.0 314maxx443 max -0.0 0 -> 0 315maxx444 max -0 0 -> 0 316maxx445 max -0 -0.0 -> -0.0 317maxx446 max -0.100 -0 -> -0 318maxx447 max -0.10 -0.100 -> -0.100 319maxx448 max -0.1 -0.10 -> -0.10 320maxx449 max -1.0 -0.1 -> -0.1 321maxx450 max -1 -1.0 -> -1.0 322maxx451 max -1.1 -1 -> -1 323maxx453 max -Inf -1.1 -> -1.1 324-- largies 325maxx460 max 1000 1E+3 -> 1E+3 326maxx461 max 1E+3 1000 -> 1E+3 327maxx462 max 1000 -1E+3 -> 1000 328maxx463 max 1E+3 -1000 -> 1E+3 329maxx464 max -1000 1E+3 -> 1E+3 330maxx465 max -1E+3 1000 -> 1000 331maxx466 max -1000 -1E+3 -> -1000 332maxx467 max -1E+3 -1000 -> -1000 333 334-- rounding (results treated as though plus) 335maxexponent: 999999999 336minexponent: -999999999 337precision: 3 338 339maxx470 max 1 .5 -> 1 340maxx471 max 10 5 -> 10 341maxx472 max 100 50 -> 100 342maxx473 max 1000 500 -> 1.00E+3 Rounded 343maxx474 max 10000 5000 -> 1.00E+4 Rounded 344maxx475 max 6 .5 -> 6 345maxx476 max 66 5 -> 66 346maxx477 max 666 50 -> 666 347maxx478 max 6666 500 -> 6.67E+3 Rounded Inexact 348maxx479 max 66666 5000 -> 6.67E+4 Rounded Inexact 349maxx480 max 33333 5000 -> 3.33E+4 Rounded Inexact 350maxx481 max .5 1 -> 1 351maxx482 max .5 10 -> 10 352maxx483 max .5 100 -> 100 353maxx484 max .5 1000 -> 1.00E+3 Rounded 354maxx485 max .5 10000 -> 1.00E+4 Rounded 355maxx486 max .5 6 -> 6 356maxx487 max .5 66 -> 66 357maxx488 max .5 666 -> 666 358maxx489 max .5 6666 -> 6.67E+3 Rounded Inexact 359maxx490 max .5 66666 -> 6.67E+4 Rounded Inexact 360maxx491 max .5 33333 -> 3.33E+4 Rounded Inexact 361 362-- overflow tests 363maxexponent: 999999999 364minexponent: -999999999 365precision: 3 366maxx500 max 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded 367maxx501 max -9.999E+999999999 0 -> 0 368 369-- subnormals and underflow 370precision: 3 371maxexponent: 999 372minexponent: -999 373maxx510 max 1.00E-999 0 -> 1.00E-999 374maxx511 max 0.1E-999 0 -> 1E-1000 Subnormal 375maxx512 max 0.10E-999 0 -> 1.0E-1000 Subnormal 376maxx513 max 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded 377maxx514 max 0.01E-999 0 -> 1E-1001 Subnormal 378-- next is rounded to Nmin 379maxx515 max 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow 380maxx516 max 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow 381maxx517 max 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow 382maxx518 max 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped 383maxx519 max 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped 384maxx520 max 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped 385 386maxx530 max -1.00E-999 0 -> 0 387maxx531 max -0.1E-999 0 -> 0 388maxx532 max -0.10E-999 0 -> 0 389maxx533 max -0.100E-999 0 -> 0 390maxx534 max -0.01E-999 0 -> 0 391maxx535 max -0.999E-999 0 -> 0 392maxx536 max -0.099E-999 0 -> 0 393maxx537 max -0.009E-999 0 -> 0 394maxx538 max -0.001E-999 0 -> 0 395maxx539 max -0.0009E-999 0 -> 0 396maxx540 max -0.0001E-999 0 -> 0 397 398-- misalignment traps for little-endian 399precision: 9 400maxx551 max 1.0 0.1 -> 1.0 401maxx552 max 0.1 1.0 -> 1.0 402maxx553 max 10.0 0.1 -> 10.0 403maxx554 max 0.1 10.0 -> 10.0 404maxx555 max 100 1.0 -> 100 405maxx556 max 1.0 100 -> 100 406maxx557 max 1000 10.0 -> 1000 407maxx558 max 10.0 1000 -> 1000 408maxx559 max 10000 100.0 -> 10000 409maxx560 max 100.0 10000 -> 10000 410maxx661 max 100000 1000.0 -> 100000 411maxx662 max 1000.0 100000 -> 100000 412maxx663 max 1000000 10000.0 -> 1000000 413maxx664 max 10000.0 1000000 -> 1000000 414 415-- payload decapitate 416precision: 5 417maxx670 max 11 -sNaN12345678901 -> -NaN78901 Invalid_operation 418 419-- Null tests 420maxx900 max 10 # -> NaN Invalid_operation 421maxx901 max # 10 -> NaN Invalid_operation 422 423 424 425