1------------------------------------------------------------------------ 2-- minmag.decTest -- decimal minimum by magnitude -- 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 32mngx001 minmag -2 -2 -> -2 33mngx002 minmag -2 -1 -> -1 34mngx003 minmag -2 0 -> 0 35mngx004 minmag -2 1 -> 1 36mngx005 minmag -2 2 -> -2 37mngx006 minmag -1 -2 -> -1 38mngx007 minmag -1 -1 -> -1 39mngx008 minmag -1 0 -> 0 40mngx009 minmag -1 1 -> -1 41mngx010 minmag -1 2 -> -1 42mngx011 minmag 0 -2 -> 0 43mngx012 minmag 0 -1 -> 0 44mngx013 minmag 0 0 -> 0 45mngx014 minmag 0 1 -> 0 46mngx015 minmag 0 2 -> 0 47mngx016 minmag 1 -2 -> 1 48mngx017 minmag 1 -1 -> -1 49mngx018 minmag 1 0 -> 0 50mngx019 minmag 1 1 -> 1 51mngx020 minmag 1 2 -> 1 52mngx021 minmag 2 -2 -> -2 53mngx022 minmag 2 -1 -> -1 54mngx023 minmag 2 0 -> 0 55mngx025 minmag 2 1 -> 1 56mngx026 minmag 2 2 -> 2 57 58-- extended zeros 59mngx030 minmag 0 0 -> 0 60mngx031 minmag 0 -0 -> -0 61mngx032 minmag 0 -0.0 -> -0.0 62mngx033 minmag 0 0.0 -> 0.0 63mngx034 minmag -0 0 -> -0 64mngx035 minmag -0 -0 -> -0 65mngx036 minmag -0 -0.0 -> -0 66mngx037 minmag -0 0.0 -> -0 67mngx038 minmag 0.0 0 -> 0.0 68mngx039 minmag 0.0 -0 -> -0 69mngx040 minmag 0.0 -0.0 -> -0.0 70mngx041 minmag 0.0 0.0 -> 0.0 71mngx042 minmag -0.0 0 -> -0.0 72mngx043 minmag -0.0 -0 -> -0 73mngx044 minmag -0.0 -0.0 -> -0.0 74mngx045 minmag -0.0 0.0 -> -0.0 75 76mngx046 minmag 0E1 -0E1 -> -0E+1 77mngx047 minmag -0E1 0E2 -> -0E+1 78mngx048 minmag 0E2 0E1 -> 0E+1 79mngx049 minmag 0E1 0E2 -> 0E+1 80mngx050 minmag -0E3 -0E2 -> -0E+3 81mngx051 minmag -0E2 -0E3 -> -0E+3 82 83-- Specials 84precision: 9 85mngx090 minmag Inf -Inf -> -Infinity 86mngx091 minmag Inf -1000 -> -1000 87mngx092 minmag Inf -1 -> -1 88mngx093 minmag Inf -0 -> -0 89mngx094 minmag Inf 0 -> 0 90mngx095 minmag Inf 1 -> 1 91mngx096 minmag Inf 1000 -> 1000 92mngx097 minmag Inf Inf -> Infinity 93mngx098 minmag -1000 Inf -> -1000 94mngx099 minmag -Inf Inf -> -Infinity 95mngx100 minmag -1 Inf -> -1 96mngx101 minmag -0 Inf -> -0 97mngx102 minmag 0 Inf -> 0 98mngx103 minmag 1 Inf -> 1 99mngx104 minmag 1000 Inf -> 1000 100mngx105 minmag Inf Inf -> Infinity 101 102mngx120 minmag -Inf -Inf -> -Infinity 103mngx121 minmag -Inf -1000 -> -1000 104mngx122 minmag -Inf -1 -> -1 105mngx123 minmag -Inf -0 -> -0 106mngx124 minmag -Inf 0 -> 0 107mngx125 minmag -Inf 1 -> 1 108mngx126 minmag -Inf 1000 -> 1000 109mngx127 minmag -Inf Inf -> -Infinity 110mngx128 minmag -Inf -Inf -> -Infinity 111mngx129 minmag -1000 -Inf -> -1000 112mngx130 minmag -1 -Inf -> -1 113mngx131 minmag -0 -Inf -> -0 114mngx132 minmag 0 -Inf -> 0 115mngx133 minmag 1 -Inf -> 1 116mngx134 minmag 1000 -Inf -> 1000 117mngx135 minmag Inf -Inf -> -Infinity 118 119-- 2004.08.02 754r chooses number over NaN in mixed cases 120mngx141 minmag NaN -Inf -> -Infinity 121mngx142 minmag NaN -1000 -> -1000 122mngx143 minmag NaN -1 -> -1 123mngx144 minmag NaN -0 -> -0 124mngx145 minmag NaN 0 -> 0 125mngx146 minmag NaN 1 -> 1 126mngx147 minmag NaN 1000 -> 1000 127mngx148 minmag NaN Inf -> Infinity 128mngx149 minmag NaN NaN -> NaN 129mngx150 minmag -Inf NaN -> -Infinity 130mngx151 minmag -1000 NaN -> -1000 131mngx152 minmag -1 -NaN -> -1 132mngx153 minmag -0 NaN -> -0 133mngx154 minmag 0 -NaN -> 0 134mngx155 minmag 1 NaN -> 1 135mngx156 minmag 1000 NaN -> 1000 136mngx157 minmag Inf NaN -> Infinity 137 138mngx161 minmag sNaN -Inf -> NaN Invalid_operation 139mngx162 minmag sNaN -1000 -> NaN Invalid_operation 140mngx163 minmag sNaN -1 -> NaN Invalid_operation 141mngx164 minmag sNaN -0 -> NaN Invalid_operation 142mngx165 minmag -sNaN 0 -> -NaN Invalid_operation 143mngx166 minmag -sNaN 1 -> -NaN Invalid_operation 144mngx167 minmag sNaN 1000 -> NaN Invalid_operation 145mngx168 minmag sNaN NaN -> NaN Invalid_operation 146mngx169 minmag sNaN sNaN -> NaN Invalid_operation 147mngx170 minmag NaN sNaN -> NaN Invalid_operation 148mngx171 minmag -Inf sNaN -> NaN Invalid_operation 149mngx172 minmag -1000 sNaN -> NaN Invalid_operation 150mngx173 minmag -1 sNaN -> NaN Invalid_operation 151mngx174 minmag -0 sNaN -> NaN Invalid_operation 152mngx175 minmag 0 sNaN -> NaN Invalid_operation 153mngx176 minmag 1 sNaN -> NaN Invalid_operation 154mngx177 minmag 1000 sNaN -> NaN Invalid_operation 155mngx178 minmag Inf sNaN -> NaN Invalid_operation 156mngx179 minmag NaN sNaN -> NaN Invalid_operation 157 158-- propagating NaNs 159mngx181 minmag NaN9 -Inf -> -Infinity 160mngx182 minmag -NaN8 9990 -> 9990 161mngx183 minmag NaN71 Inf -> Infinity 162 163mngx184 minmag NaN1 NaN54 -> NaN1 164mngx185 minmag NaN22 -NaN53 -> NaN22 165mngx186 minmag -NaN3 NaN6 -> -NaN3 166mngx187 minmag -NaN44 NaN7 -> -NaN44 167 168mngx188 minmag -Inf NaN41 -> -Infinity 169mngx189 minmag -9999 -NaN33 -> -9999 170mngx190 minmag Inf NaN2 -> Infinity 171 172mngx191 minmag sNaN99 -Inf -> NaN99 Invalid_operation 173mngx192 minmag sNaN98 -11 -> NaN98 Invalid_operation 174mngx193 minmag -sNaN97 NaN8 -> -NaN97 Invalid_operation 175mngx194 minmag sNaN69 sNaN94 -> NaN69 Invalid_operation 176mngx195 minmag NaN95 sNaN93 -> NaN93 Invalid_operation 177mngx196 minmag -Inf sNaN92 -> NaN92 Invalid_operation 178mngx197 minmag 088 sNaN91 -> NaN91 Invalid_operation 179mngx198 minmag Inf -sNaN90 -> -NaN90 Invalid_operation 180mngx199 minmag NaN sNaN86 -> NaN86 Invalid_operation 181 182-- rounding checks -- chosen is rounded, or not 183maxExponent: 999 184minexponent: -999 185precision: 9 186mngx201 minmag -12345678000 1 -> 1 187mngx202 minmag 1 -12345678000 -> 1 188mngx203 minmag -1234567800 1 -> 1 189mngx204 minmag 1 -1234567800 -> 1 190mngx205 minmag -1234567890 1 -> 1 191mngx206 minmag 1 -1234567890 -> 1 192mngx207 minmag -1234567891 1 -> 1 193mngx208 minmag 1 -1234567891 -> 1 194mngx209 minmag -12345678901 1 -> 1 195mngx210 minmag 1 -12345678901 -> 1 196mngx211 minmag -1234567896 1 -> 1 197mngx212 minmag 1 -1234567896 -> 1 198mngx213 minmag 1234567891 1 -> 1 199mngx214 minmag 1 1234567891 -> 1 200mngx215 minmag 12345678901 1 -> 1 201mngx216 minmag 1 12345678901 -> 1 202mngx217 minmag 1234567896 1 -> 1 203mngx218 minmag 1 1234567896 -> 1 204 205precision: 15 206mngx221 minmag -12345678000 1 -> 1 207mngx222 minmag 1 -12345678000 -> 1 208mngx223 minmag -1234567800 1 -> 1 209mngx224 minmag 1 -1234567800 -> 1 210mngx225 minmag -1234567890 1 -> 1 211mngx226 minmag 1 -1234567890 -> 1 212mngx227 minmag -1234567891 1 -> 1 213mngx228 minmag 1 -1234567891 -> 1 214mngx229 minmag -12345678901 1 -> 1 215mngx230 minmag 1 -12345678901 -> 1 216mngx231 minmag -1234567896 1 -> 1 217mngx232 minmag 1 -1234567896 -> 1 218mngx233 minmag 1234567891 1 -> 1 219mngx234 minmag 1 1234567891 -> 1 220mngx235 minmag 12345678901 1 -> 1 221mngx236 minmag 1 12345678901 -> 1 222mngx237 minmag 1234567896 1 -> 1 223mngx238 minmag 1 1234567896 -> 1 224 225-- from examples 226mngx280 minmag '3' '2' -> '2' 227mngx281 minmag '-10' '3' -> '3' 228mngx282 minmag '1.0' '1' -> '1.0' 229mngx283 minmag '1' '1.0' -> '1.0' 230mngx284 minmag '7' 'NaN' -> '7' 231 232-- overflow and underflow tests .. subnormal results [inputs] now allowed 233maxExponent: 999999999 234minexponent: -999999999 235mngx330 minmag -1.23456789012345E-0 -9E+999999999 -> -1.23456789012345 236mngx331 minmag -9E+999999999 -1.23456789012345E-0 -> -1.23456789012345 237mngx332 minmag -0.100 -9E-999999999 -> -9E-999999999 238mngx333 minmag -9E-999999999 -0.100 -> -9E-999999999 239mngx335 minmag +1.23456789012345E-0 -9E+999999999 -> 1.23456789012345 240mngx336 minmag -9E+999999999 1.23456789012345E-0 -> 1.23456789012345 241mngx337 minmag +0.100 -9E-999999999 -> -9E-999999999 242mngx338 minmag -9E-999999999 0.100 -> -9E-999999999 243 244mngx339 minmag -1e-599999999 -1e-400000001 -> -1E-599999999 245mngx340 minmag -1e-599999999 -1e-400000000 -> -1E-599999999 246mngx341 minmag -1e-600000000 -1e-400000000 -> -1E-600000000 247mngx342 minmag -9e-999999998 -0.01 -> -9E-999999998 248mngx343 minmag -9e-999999998 -0.1 -> -9E-999999998 249mngx344 minmag -0.01 -9e-999999998 -> -9E-999999998 250mngx345 minmag -1e599999999 -1e400000001 -> -1E+400000001 251mngx346 minmag -1e599999999 -1e400000000 -> -1E+400000000 252mngx347 minmag -1e600000000 -1e400000000 -> -1E+400000000 253mngx348 minmag -9e999999998 -100 -> -100 254mngx349 minmag -9e999999998 -10 -> -10 255mngx350 minmag -100 -9e999999998 -> -100 256-- signs 257mngx351 minmag -1e+777777777 -1e+411111111 -> -1E+411111111 258mngx352 minmag -1e+777777777 +1e+411111111 -> 1E+411111111 259mngx353 minmag +1e+777777777 -1e+411111111 -> -1E+411111111 260mngx354 minmag +1e+777777777 +1e+411111111 -> 1E+411111111 261mngx355 minmag -1e-777777777 -1e-411111111 -> -1E-777777777 262mngx356 minmag -1e-777777777 +1e-411111111 -> -1E-777777777 263mngx357 minmag +1e-777777777 -1e-411111111 -> 1E-777777777 264mngx358 minmag +1e-777777777 +1e-411111111 -> 1E-777777777 265 266-- expanded list from min/max 754r purple prose 267-- [explicit tests for exponent ordering] 268mngx401 minmag Inf 1.1 -> 1.1 269mngx402 minmag 1.1 1 -> 1 270mngx403 minmag 1 1.0 -> 1.0 271mngx404 minmag 1.0 0.1 -> 0.1 272mngx405 minmag 0.1 0.10 -> 0.10 273mngx406 minmag 0.10 0.100 -> 0.100 274mngx407 minmag 0.10 0 -> 0 275mngx408 minmag 0 0.0 -> 0.0 276mngx409 minmag 0.0 -0 -> -0 277mngx410 minmag 0.0 -0.0 -> -0.0 278mngx411 minmag 0.00 -0.0 -> -0.0 279mngx412 minmag 0.0 -0.00 -> -0.00 280mngx413 minmag 0 -0.0 -> -0.0 281mngx414 minmag 0 -0 -> -0 282mngx415 minmag -0.0 -0 -> -0 283mngx416 minmag -0 -0.100 -> -0 284mngx417 minmag -0.100 -0.10 -> -0.10 285mngx418 minmag -0.10 -0.1 -> -0.1 286mngx419 minmag -0.1 -1.0 -> -0.1 287mngx420 minmag -1.0 -1 -> -1 288mngx421 minmag -1 -1.1 -> -1 289mngx423 minmag -1.1 -Inf -> -1.1 290-- same with operands reversed 291mngx431 minmag 1.1 Inf -> 1.1 292mngx432 minmag 1 1.1 -> 1 293mngx433 minmag 1.0 1 -> 1.0 294mngx434 minmag 0.1 1.0 -> 0.1 295mngx435 minmag 0.10 0.1 -> 0.10 296mngx436 minmag 0.100 0.10 -> 0.100 297mngx437 minmag 0 0.10 -> 0 298mngx438 minmag 0.0 0 -> 0.0 299mngx439 minmag -0 0.0 -> -0 300mngx440 minmag -0.0 0.0 -> -0.0 301mngx441 minmag -0.0 0.00 -> -0.0 302mngx442 minmag -0.00 0.0 -> -0.00 303mngx443 minmag -0.0 0 -> -0.0 304mngx444 minmag -0 0 -> -0 305mngx445 minmag -0 -0.0 -> -0 306mngx446 minmag -0.100 -0 -> -0 307mngx447 minmag -0.10 -0.100 -> -0.10 308mngx448 minmag -0.1 -0.10 -> -0.1 309mngx449 minmag -1.0 -0.1 -> -0.1 310mngx450 minmag -1 -1.0 -> -1 311mngx451 minmag -1.1 -1 -> -1 312mngx453 minmag -Inf -1.1 -> -1.1 313-- largies 314mngx460 minmag 1000 1E+3 -> 1000 315mngx461 minmag 1E+3 1000 -> 1000 316mngx462 minmag 1000 -1E+3 -> -1E+3 317mngx463 minmag 1E+3 -1000 -> -1000 318mngx464 minmag -1000 1E+3 -> -1000 319mngx465 minmag -1E+3 1000 -> -1E+3 320mngx466 minmag -1000 -1E+3 -> -1E+3 321mngx467 minmag -1E+3 -1000 -> -1E+3 322 323-- rounding (results treated as though plus) 324maxexponent: 999999999 325minexponent: -999999999 326precision: 3 327 328mngx470 minmag 1 5 -> 1 329mngx471 minmag 10 50 -> 10 330mngx472 minmag 100 500 -> 100 331mngx473 minmag 1000 5000 -> 1.00E+3 Rounded 332mngx474 minmag 10000 50000 -> 1.00E+4 Rounded 333mngx475 minmag 6 50 -> 6 334mngx476 minmag 66 500 -> 66 335mngx477 minmag 666 5000 -> 666 336mngx478 minmag 6666 50000 -> 6.67E+3 Rounded Inexact 337mngx479 minmag 66666 500000 -> 6.67E+4 Rounded Inexact 338mngx480 minmag 33333 500000 -> 3.33E+4 Rounded Inexact 339mngx481 minmag 75401 1 -> 1 340mngx482 minmag 75402 10 -> 10 341mngx483 minmag 75403 100 -> 100 342mngx484 minmag 75404 1000 -> 1.00E+3 Rounded 343mngx485 minmag 75405 10000 -> 1.00E+4 Rounded 344mngx486 minmag 75406 6 -> 6 345mngx487 minmag 75407 66 -> 66 346mngx488 minmag 75408 666 -> 666 347mngx489 minmag 75409 6666 -> 6.67E+3 Rounded Inexact 348mngx490 minmag 75410 66666 -> 6.67E+4 Rounded Inexact 349mngx491 minmag 75411 33333 -> 3.33E+4 Rounded Inexact 350 351 352-- overflow tests 353maxexponent: 999999999 354minexponent: -999999999 355precision: 3 356mngx500 minmag 9.999E+999999999 0 -> 0 357mngx501 minmag -9.999E+999999999 0 -> 0 358 359-- subnormals and underflow 360precision: 3 361maxexponent: 999 362minexponent: -999 363mngx510 minmag 1.00E-999 0 -> 0 364mngx511 minmag 0.1E-999 0 -> 0 365mngx512 minmag 0.10E-999 0 -> 0 366mngx513 minmag 0.100E-999 0 -> 0 367mngx514 minmag 0.01E-999 0 -> 0 368mngx515 minmag 0.999E-999 0 -> 0 369mngx516 minmag 0.099E-999 0 -> 0 370mngx517 minmag 0.009E-999 0 -> 0 371mngx518 minmag 0.001E-999 0 -> 0 372mngx519 minmag 0.0009E-999 0 -> 0 373mngx520 minmag 0.0001E-999 0 -> 0 374 375mngx530 minmag -1.00E-999 0 -> 0 376mngx531 minmag -0.1E-999 0 -> 0 377mngx532 minmag -0.10E-999 0 -> 0 378mngx533 minmag -0.100E-999 0 -> 0 379mngx534 minmag -0.01E-999 0 -> 0 380mngx535 minmag -0.999E-999 0 -> 0 381mngx536 minmag -0.099E-999 0 -> 0 382mngx537 minmag -0.009E-999 0 -> 0 383mngx538 minmag -0.001E-999 0 -> 0 384mngx539 minmag -0.0009E-999 0 -> 0 385mngx540 minmag -0.0001E-999 0 -> 0 386 387 388-- Null tests 389mng900 minmag 10 # -> NaN Invalid_operation 390mng901 minmag # 10 -> NaN Invalid_operation 391