1------------------------------------------------------------------------ 2-- min.decTest -- decimal minimum -- 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 32mnmx001 min -2 -2 -> -2 33mnmx002 min -2 -1 -> -2 34mnmx003 min -2 0 -> -2 35mnmx004 min -2 1 -> -2 36mnmx005 min -2 2 -> -2 37mnmx006 min -1 -2 -> -2 38mnmx007 min -1 -1 -> -1 39mnmx008 min -1 0 -> -1 40mnmx009 min -1 1 -> -1 41mnmx010 min -1 2 -> -1 42mnmx011 min 0 -2 -> -2 43mnmx012 min 0 -1 -> -1 44mnmx013 min 0 0 -> 0 45mnmx014 min 0 1 -> 0 46mnmx015 min 0 2 -> 0 47mnmx016 min 1 -2 -> -2 48mnmx017 min 1 -1 -> -1 49mnmx018 min 1 0 -> 0 50mnmx019 min 1 1 -> 1 51mnmx020 min 1 2 -> 1 52mnmx021 min 2 -2 -> -2 53mnmx022 min 2 -1 -> -1 54mnmx023 min 2 0 -> 0 55mnmx025 min 2 1 -> 1 56mnmx026 min 2 2 -> 2 57 58-- extended zeros 59mnmx030 min 0 0 -> 0 60mnmx031 min 0 -0 -> -0 61mnmx032 min 0 -0.0 -> -0.0 62mnmx033 min 0 0.0 -> 0.0 63mnmx034 min -0 0 -> -0 64mnmx035 min -0 -0 -> -0 65mnmx036 min -0 -0.0 -> -0 66mnmx037 min -0 0.0 -> -0 67mnmx038 min 0.0 0 -> 0.0 68mnmx039 min 0.0 -0 -> -0 69mnmx040 min 0.0 -0.0 -> -0.0 70mnmx041 min 0.0 0.0 -> 0.0 71mnmx042 min -0.0 0 -> -0.0 72mnmx043 min -0.0 -0 -> -0 73mnmx044 min -0.0 -0.0 -> -0.0 74mnmx045 min -0.0 0.0 -> -0.0 75 76mnmx046 min 0E1 -0E1 -> -0E+1 77mnmx047 min -0E1 0E2 -> -0E+1 78mnmx048 min 0E2 0E1 -> 0E+1 79mnmx049 min 0E1 0E2 -> 0E+1 80mnmx050 min -0E3 -0E2 -> -0E+3 81mnmx051 min -0E2 -0E3 -> -0E+3 82 83-- Specials 84precision: 9 85mnmx090 min Inf -Inf -> -Infinity 86mnmx091 min Inf -1000 -> -1000 87mnmx092 min Inf -1 -> -1 88mnmx093 min Inf -0 -> -0 89mnmx094 min Inf 0 -> 0 90mnmx095 min Inf 1 -> 1 91mnmx096 min Inf 1000 -> 1000 92mnmx097 min Inf Inf -> Infinity 93mnmx098 min -1000 Inf -> -1000 94mnmx099 min -Inf Inf -> -Infinity 95mnmx100 min -1 Inf -> -1 96mnmx101 min -0 Inf -> -0 97mnmx102 min 0 Inf -> 0 98mnmx103 min 1 Inf -> 1 99mnmx104 min 1000 Inf -> 1000 100mnmx105 min Inf Inf -> Infinity 101 102mnmx120 min -Inf -Inf -> -Infinity 103mnmx121 min -Inf -1000 -> -Infinity 104mnmx122 min -Inf -1 -> -Infinity 105mnmx123 min -Inf -0 -> -Infinity 106mnmx124 min -Inf 0 -> -Infinity 107mnmx125 min -Inf 1 -> -Infinity 108mnmx126 min -Inf 1000 -> -Infinity 109mnmx127 min -Inf Inf -> -Infinity 110mnmx128 min -Inf -Inf -> -Infinity 111mnmx129 min -1000 -Inf -> -Infinity 112mnmx130 min -1 -Inf -> -Infinity 113mnmx131 min -0 -Inf -> -Infinity 114mnmx132 min 0 -Inf -> -Infinity 115mnmx133 min 1 -Inf -> -Infinity 116mnmx134 min 1000 -Inf -> -Infinity 117mnmx135 min Inf -Inf -> -Infinity 118 119-- 2004.08.02 754r chooses number over NaN in mixed cases 120mnmx141 min NaN -Inf -> -Infinity 121mnmx142 min NaN -1000 -> -1000 122mnmx143 min NaN -1 -> -1 123mnmx144 min NaN -0 -> -0 124mnmx145 min NaN 0 -> 0 125mnmx146 min NaN 1 -> 1 126mnmx147 min NaN 1000 -> 1000 127mnmx148 min NaN Inf -> Infinity 128mnmx149 min NaN NaN -> NaN 129mnmx150 min -Inf NaN -> -Infinity 130mnmx151 min -1000 NaN -> -1000 131mnmx152 min -1 -NaN -> -1 132mnmx153 min -0 NaN -> -0 133mnmx154 min 0 -NaN -> 0 134mnmx155 min 1 NaN -> 1 135mnmx156 min 1000 NaN -> 1000 136mnmx157 min Inf NaN -> Infinity 137 138mnmx161 min sNaN -Inf -> NaN Invalid_operation 139mnmx162 min sNaN -1000 -> NaN Invalid_operation 140mnmx163 min sNaN -1 -> NaN Invalid_operation 141mnmx164 min sNaN -0 -> NaN Invalid_operation 142mnmx165 min -sNaN 0 -> -NaN Invalid_operation 143mnmx166 min -sNaN 1 -> -NaN Invalid_operation 144mnmx167 min sNaN 1000 -> NaN Invalid_operation 145mnmx168 min sNaN NaN -> NaN Invalid_operation 146mnmx169 min sNaN sNaN -> NaN Invalid_operation 147mnmx170 min NaN sNaN -> NaN Invalid_operation 148mnmx171 min -Inf sNaN -> NaN Invalid_operation 149mnmx172 min -1000 sNaN -> NaN Invalid_operation 150mnmx173 min -1 sNaN -> NaN Invalid_operation 151mnmx174 min -0 sNaN -> NaN Invalid_operation 152mnmx175 min 0 sNaN -> NaN Invalid_operation 153mnmx176 min 1 sNaN -> NaN Invalid_operation 154mnmx177 min 1000 sNaN -> NaN Invalid_operation 155mnmx178 min Inf sNaN -> NaN Invalid_operation 156mnmx179 min NaN sNaN -> NaN Invalid_operation 157 158-- propagating NaNs 159mnmx181 min NaN9 -Inf -> -Infinity 160mnmx182 min -NaN8 9990 -> 9990 161mnmx183 min NaN71 Inf -> Infinity 162 163mnmx184 min NaN1 NaN54 -> NaN1 164mnmx185 min NaN22 -NaN53 -> NaN22 165mnmx186 min -NaN3 NaN6 -> -NaN3 166mnmx187 min -NaN44 NaN7 -> -NaN44 167 168mnmx188 min -Inf NaN41 -> -Infinity 169mnmx189 min -9999 -NaN33 -> -9999 170mnmx190 min Inf NaN2 -> Infinity 171 172mnmx191 min sNaN99 -Inf -> NaN99 Invalid_operation 173mnmx192 min sNaN98 -11 -> NaN98 Invalid_operation 174mnmx193 min -sNaN97 NaN8 -> -NaN97 Invalid_operation 175mnmx194 min sNaN69 sNaN94 -> NaN69 Invalid_operation 176mnmx195 min NaN95 sNaN93 -> NaN93 Invalid_operation 177mnmx196 min -Inf sNaN92 -> NaN92 Invalid_operation 178mnmx197 min 088 sNaN91 -> NaN91 Invalid_operation 179mnmx198 min Inf -sNaN90 -> -NaN90 Invalid_operation 180mnmx199 min NaN sNaN86 -> NaN86 Invalid_operation 181 182-- rounding checks -- chosen is rounded, or not 183maxExponent: 999 184minexponent: -999 185precision: 9 186mnmx201 min -12345678000 1 -> -1.23456780E+10 Rounded 187mnmx202 min 1 -12345678000 -> -1.23456780E+10 Rounded 188mnmx203 min -1234567800 1 -> -1.23456780E+9 Rounded 189mnmx204 min 1 -1234567800 -> -1.23456780E+9 Rounded 190mnmx205 min -1234567890 1 -> -1.23456789E+9 Rounded 191mnmx206 min 1 -1234567890 -> -1.23456789E+9 Rounded 192mnmx207 min -1234567891 1 -> -1.23456789E+9 Inexact Rounded 193mnmx208 min 1 -1234567891 -> -1.23456789E+9 Inexact Rounded 194mnmx209 min -12345678901 1 -> -1.23456789E+10 Inexact Rounded 195mnmx210 min 1 -12345678901 -> -1.23456789E+10 Inexact Rounded 196mnmx211 min -1234567896 1 -> -1.23456790E+9 Inexact Rounded 197mnmx212 min 1 -1234567896 -> -1.23456790E+9 Inexact Rounded 198mnmx213 min 1234567891 1 -> 1 199mnmx214 min 1 1234567891 -> 1 200mnmx215 min 12345678901 1 -> 1 201mnmx216 min 1 12345678901 -> 1 202mnmx217 min 1234567896 1 -> 1 203mnmx218 min 1 1234567896 -> 1 204 205precision: 15 206mnmx221 min -12345678000 1 -> -12345678000 207mnmx222 min 1 -12345678000 -> -12345678000 208mnmx223 min -1234567800 1 -> -1234567800 209mnmx224 min 1 -1234567800 -> -1234567800 210mnmx225 min -1234567890 1 -> -1234567890 211mnmx226 min 1 -1234567890 -> -1234567890 212mnmx227 min -1234567891 1 -> -1234567891 213mnmx228 min 1 -1234567891 -> -1234567891 214mnmx229 min -12345678901 1 -> -12345678901 215mnmx230 min 1 -12345678901 -> -12345678901 216mnmx231 min -1234567896 1 -> -1234567896 217mnmx232 min 1 -1234567896 -> -1234567896 218mnmx233 min 1234567891 1 -> 1 219mnmx234 min 1 1234567891 -> 1 220mnmx235 min 12345678901 1 -> 1 221mnmx236 min 1 12345678901 -> 1 222mnmx237 min 1234567896 1 -> 1 223mnmx238 min 1 1234567896 -> 1 224 225-- from examples 226mnmx280 min '3' '2' -> '2' 227mnmx281 min '-10' '3' -> '-10' 228mnmx282 min '1.0' '1' -> '1.0' 229mnmx283 min '1' '1.0' -> '1.0' 230mnmx284 min '7' 'NaN' -> '7' 231 232-- overflow and underflow tests .. subnormal results [inputs] now allowed 233maxExponent: 999999999 234minexponent: -999999999 235mnmx330 min -1.23456789012345E-0 -9E+999999999 -> -9E+999999999 236mnmx331 min -9E+999999999 -1.23456789012345E-0 -> -9E+999999999 237mnmx332 min -0.100 -9E-999999999 -> -0.100 238mnmx333 min -9E-999999999 -0.100 -> -0.100 239mnmx335 min +1.23456789012345E-0 -9E+999999999 -> -9E+999999999 240mnmx336 min -9E+999999999 1.23456789012345E-0 -> -9E+999999999 241mnmx337 min +0.100 -9E-999999999 -> -9E-999999999 242mnmx338 min -9E-999999999 0.100 -> -9E-999999999 243 244mnmx339 min -1e-599999999 -1e-400000001 -> -1E-400000001 245mnmx340 min -1e-599999999 -1e-400000000 -> -1E-400000000 246mnmx341 min -1e-600000000 -1e-400000000 -> -1E-400000000 247mnmx342 min -9e-999999998 -0.01 -> -0.01 248mnmx343 min -9e-999999998 -0.1 -> -0.1 249mnmx344 min -0.01 -9e-999999998 -> -0.01 250mnmx345 min -1e599999999 -1e400000001 -> -1E+599999999 251mnmx346 min -1e599999999 -1e400000000 -> -1E+599999999 252mnmx347 min -1e600000000 -1e400000000 -> -1E+600000000 253mnmx348 min -9e999999998 -100 -> -9E+999999998 254mnmx349 min -9e999999998 -10 -> -9E+999999998 255mnmx350 min -100 -9e999999998 -> -9E+999999998 256-- signs 257mnmx351 min -1e+777777777 -1e+411111111 -> -1E+777777777 258mnmx352 min -1e+777777777 +1e+411111111 -> -1E+777777777 259mnmx353 min +1e+777777777 -1e+411111111 -> -1E+411111111 260mnmx354 min +1e+777777777 +1e+411111111 -> 1E+411111111 261mnmx355 min -1e-777777777 -1e-411111111 -> -1E-411111111 262mnmx356 min -1e-777777777 +1e-411111111 -> -1E-777777777 263mnmx357 min +1e-777777777 -1e-411111111 -> -1E-411111111 264mnmx358 min +1e-777777777 +1e-411111111 -> 1E-777777777 265 266-- expanded list from min/max 754r purple prose 267-- [explicit tests for exponent ordering] 268mnmx401 min Inf 1.1 -> 1.1 269mnmx402 min 1.1 1 -> 1 270mnmx403 min 1 1.0 -> 1.0 271mnmx404 min 1.0 0.1 -> 0.1 272mnmx405 min 0.1 0.10 -> 0.10 273mnmx406 min 0.10 0.100 -> 0.100 274mnmx407 min 0.10 0 -> 0 275mnmx408 min 0 0.0 -> 0.0 276mnmx409 min 0.0 -0 -> -0 277mnmx410 min 0.0 -0.0 -> -0.0 278mnmx411 min 0.00 -0.0 -> -0.0 279mnmx412 min 0.0 -0.00 -> -0.00 280mnmx413 min 0 -0.0 -> -0.0 281mnmx414 min 0 -0 -> -0 282mnmx415 min -0.0 -0 -> -0 283mnmx416 min -0 -0.100 -> -0.100 284mnmx417 min -0.100 -0.10 -> -0.10 285mnmx418 min -0.10 -0.1 -> -0.1 286mnmx419 min -0.1 -1.0 -> -1.0 287mnmx420 min -1.0 -1 -> -1 288mnmx421 min -1 -1.1 -> -1.1 289mnmx423 min -1.1 -Inf -> -Infinity 290-- same with operands reversed 291mnmx431 min 1.1 Inf -> 1.1 292mnmx432 min 1 1.1 -> 1 293mnmx433 min 1.0 1 -> 1.0 294mnmx434 min 0.1 1.0 -> 0.1 295mnmx435 min 0.10 0.1 -> 0.10 296mnmx436 min 0.100 0.10 -> 0.100 297mnmx437 min 0 0.10 -> 0 298mnmx438 min 0.0 0 -> 0.0 299mnmx439 min -0 0.0 -> -0 300mnmx440 min -0.0 0.0 -> -0.0 301mnmx441 min -0.0 0.00 -> -0.0 302mnmx442 min -0.00 0.0 -> -0.00 303mnmx443 min -0.0 0 -> -0.0 304mnmx444 min -0 0 -> -0 305mnmx445 min -0 -0.0 -> -0 306mnmx446 min -0.100 -0 -> -0.100 307mnmx447 min -0.10 -0.100 -> -0.10 308mnmx448 min -0.1 -0.10 -> -0.1 309mnmx449 min -1.0 -0.1 -> -1.0 310mnmx450 min -1 -1.0 -> -1 311mnmx451 min -1.1 -1 -> -1.1 312mnmx453 min -Inf -1.1 -> -Infinity 313-- largies 314mnmx460 min 1000 1E+3 -> 1000 315mnmx461 min 1E+3 1000 -> 1000 316mnmx462 min 1000 -1E+3 -> -1E+3 317mnmx463 min 1E+3 -1000 -> -1000 318mnmx464 min -1000 1E+3 -> -1000 319mnmx465 min -1E+3 1000 -> -1E+3 320mnmx466 min -1000 -1E+3 -> -1E+3 321mnmx467 min -1E+3 -1000 -> -1E+3 322 323-- rounding (results treated as though plus) 324maxexponent: 999999999 325minexponent: -999999999 326precision: 3 327 328mnmx470 min 1 5 -> 1 329mnmx471 min 10 50 -> 10 330mnmx472 min 100 500 -> 100 331mnmx473 min 1000 5000 -> 1.00E+3 Rounded 332mnmx474 min 10000 50000 -> 1.00E+4 Rounded 333mnmx475 min 6 50 -> 6 334mnmx476 min 66 500 -> 66 335mnmx477 min 666 5000 -> 666 336mnmx478 min 6666 50000 -> 6.67E+3 Rounded Inexact 337mnmx479 min 66666 500000 -> 6.67E+4 Rounded Inexact 338mnmx480 min 33333 500000 -> 3.33E+4 Rounded Inexact 339mnmx481 min 75401 1 -> 1 340mnmx482 min 75402 10 -> 10 341mnmx483 min 75403 100 -> 100 342mnmx484 min 75404 1000 -> 1.00E+3 Rounded 343mnmx485 min 75405 10000 -> 1.00E+4 Rounded 344mnmx486 min 75406 6 -> 6 345mnmx487 min 75407 66 -> 66 346mnmx488 min 75408 666 -> 666 347mnmx489 min 75409 6666 -> 6.67E+3 Rounded Inexact 348mnmx490 min 75410 66666 -> 6.67E+4 Rounded Inexact 349mnmx491 min 75411 33333 -> 3.33E+4 Rounded Inexact 350 351 352-- overflow tests 353maxexponent: 999999999 354minexponent: -999999999 355precision: 3 356mnmx500 min 9.999E+999999999 0 -> 0 357mnmx501 min -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded 358 359-- subnormals and underflow 360precision: 3 361maxexponent: 999 362minexponent: -999 363mnmx510 min 1.00E-999 0 -> 0 364mnmx511 min 0.1E-999 0 -> 0 365mnmx512 min 0.10E-999 0 -> 0 366mnmx513 min 0.100E-999 0 -> 0 367mnmx514 min 0.01E-999 0 -> 0 368mnmx515 min 0.999E-999 0 -> 0 369mnmx516 min 0.099E-999 0 -> 0 370mnmx517 min 0.009E-999 0 -> 0 371mnmx518 min 0.001E-999 0 -> 0 372mnmx519 min 0.0009E-999 0 -> 0 373mnmx520 min 0.0001E-999 0 -> 0 374 375mnmx530 min -1.00E-999 0 -> -1.00E-999 376mnmx531 min -0.1E-999 0 -> -1E-1000 Subnormal 377mnmx532 min -0.10E-999 0 -> -1.0E-1000 Subnormal 378mnmx533 min -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded 379mnmx534 min -0.01E-999 0 -> -1E-1001 Subnormal 380-- next is rounded to Nmin 381mnmx535 min -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow 382mnmx536 min -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow 383mnmx537 min -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow 384mnmx538 min -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped 385mnmx539 min -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped 386mnmx540 min -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped 387 388-- misalignment traps for little-endian 389precision: 9 390mnmx551 min 1.0 0.1 -> 0.1 391mnmx552 min 0.1 1.0 -> 0.1 392mnmx553 min 10.0 0.1 -> 0.1 393mnmx554 min 0.1 10.0 -> 0.1 394mnmx555 min 100 1.0 -> 1.0 395mnmx556 min 1.0 100 -> 1.0 396mnmx557 min 1000 10.0 -> 10.0 397mnmx558 min 10.0 1000 -> 10.0 398mnmx559 min 10000 100.0 -> 100.0 399mnmx560 min 100.0 10000 -> 100.0 400mnmx561 min 100000 1000.0 -> 1000.0 401mnmx562 min 1000.0 100000 -> 1000.0 402mnmx563 min 1000000 10000.0 -> 10000.0 403mnmx564 min 10000.0 1000000 -> 10000.0 404 405-- Null tests 406mnm900 min 10 # -> NaN Invalid_operation 407mnm901 min # 10 -> NaN Invalid_operation 408