------------------------------------------------------------------------ -- ddMax.decTest -- decDouble maxnum -- -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://www2.hursley.ibm.com/decimal for the description of -- -- these testcases. -- -- -- -- These testcases are experimental ('beta' versions), and they -- -- may contain errors. They are offered on an as-is basis. In -- -- particular, achieving the same results as the tests here is not -- -- a guarantee that an implementation complies with any Standard -- -- or specification. The tests are not exhaustive. -- -- -- -- Please send comments, suggestions, and corrections to the author: -- -- Mike Cowlishaw, IBM Fellow -- -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- -- mfc@uk.ibm.com -- ------------------------------------------------------------------------ version: 2.59 -- we assume that base comparison is tested in compare.decTest, so -- these mainly cover special cases and rounding precision: 16 maxExponent: 384 minExponent: -383 extended: 1 clamp: 1 rounding: half_even -- sanity checks ddmax001 max -2 -2 -> -2 ddmax002 max -2 -1 -> -1 ddmax003 max -2 0 -> 0 ddmax004 max -2 1 -> 1 ddmax005 max -2 2 -> 2 ddmax006 max -1 -2 -> -1 ddmax007 max -1 -1 -> -1 ddmax008 max -1 0 -> 0 ddmax009 max -1 1 -> 1 ddmax010 max -1 2 -> 2 ddmax011 max 0 -2 -> 0 ddmax012 max 0 -1 -> 0 ddmax013 max 0 0 -> 0 ddmax014 max 0 1 -> 1 ddmax015 max 0 2 -> 2 ddmax016 max 1 -2 -> 1 ddmax017 max 1 -1 -> 1 ddmax018 max 1 0 -> 1 ddmax019 max 1 1 -> 1 ddmax020 max 1 2 -> 2 ddmax021 max 2 -2 -> 2 ddmax022 max 2 -1 -> 2 ddmax023 max 2 0 -> 2 ddmax025 max 2 1 -> 2 ddmax026 max 2 2 -> 2 -- extended zeros ddmax030 max 0 0 -> 0 ddmax031 max 0 -0 -> 0 ddmax032 max 0 -0.0 -> 0 ddmax033 max 0 0.0 -> 0 ddmax034 max -0 0 -> 0 -- note: -0 = 0, but 0 chosen ddmax035 max -0 -0 -> -0 ddmax036 max -0 -0.0 -> -0.0 ddmax037 max -0 0.0 -> 0.0 ddmax038 max 0.0 0 -> 0 ddmax039 max 0.0 -0 -> 0.0 ddmax040 max 0.0 -0.0 -> 0.0 ddmax041 max 0.0 0.0 -> 0.0 ddmax042 max -0.0 0 -> 0 ddmax043 max -0.0 -0 -> -0.0 ddmax044 max -0.0 -0.0 -> -0.0 ddmax045 max -0.0 0.0 -> 0.0 ddmax050 max -0E1 0E1 -> 0E+1 ddmax051 max -0E2 0E2 -> 0E+2 ddmax052 max -0E2 0E1 -> 0E+1 ddmax053 max -0E1 0E2 -> 0E+2 ddmax054 max 0E1 -0E1 -> 0E+1 ddmax055 max 0E2 -0E2 -> 0E+2 ddmax056 max 0E2 -0E1 -> 0E+2 ddmax057 max 0E1 -0E2 -> 0E+1 ddmax058 max 0E1 0E1 -> 0E+1 ddmax059 max 0E2 0E2 -> 0E+2 ddmax060 max 0E2 0E1 -> 0E+2 ddmax061 max 0E1 0E2 -> 0E+2 ddmax062 max -0E1 -0E1 -> -0E+1 ddmax063 max -0E2 -0E2 -> -0E+2 ddmax064 max -0E2 -0E1 -> -0E+1 ddmax065 max -0E1 -0E2 -> -0E+1 -- Specials ddmax090 max Inf -Inf -> Infinity ddmax091 max Inf -1000 -> Infinity ddmax092 max Inf -1 -> Infinity ddmax093 max Inf -0 -> Infinity ddmax094 max Inf 0 -> Infinity ddmax095 max Inf 1 -> Infinity ddmax096 max Inf 1000 -> Infinity ddmax097 max Inf Inf -> Infinity ddmax098 max -1000 Inf -> Infinity ddmax099 max -Inf Inf -> Infinity ddmax100 max -1 Inf -> Infinity ddmax101 max -0 Inf -> Infinity ddmax102 max 0 Inf -> Infinity ddmax103 max 1 Inf -> Infinity ddmax104 max 1000 Inf -> Infinity ddmax105 max Inf Inf -> Infinity ddmax120 max -Inf -Inf -> -Infinity ddmax121 max -Inf -1000 -> -1000 ddmax122 max -Inf -1 -> -1 ddmax123 max -Inf -0 -> -0 ddmax124 max -Inf 0 -> 0 ddmax125 max -Inf 1 -> 1 ddmax126 max -Inf 1000 -> 1000 ddmax127 max -Inf Inf -> Infinity ddmax128 max -Inf -Inf -> -Infinity ddmax129 max -1000 -Inf -> -1000 ddmax130 max -1 -Inf -> -1 ddmax131 max -0 -Inf -> -0 ddmax132 max 0 -Inf -> 0 ddmax133 max 1 -Inf -> 1 ddmax134 max 1000 -Inf -> 1000 ddmax135 max Inf -Inf -> Infinity -- 2004.08.02 754r chooses number over NaN in mixed cases ddmax141 max NaN -Inf -> -Infinity ddmax142 max NaN -1000 -> -1000 ddmax143 max NaN -1 -> -1 ddmax144 max NaN -0 -> -0 ddmax145 max NaN 0 -> 0 ddmax146 max NaN 1 -> 1 ddmax147 max NaN 1000 -> 1000 ddmax148 max NaN Inf -> Infinity ddmax149 max NaN NaN -> NaN ddmax150 max -Inf NaN -> -Infinity ddmax151 max -1000 NaN -> -1000 ddmax152 max -1 NaN -> -1 ddmax153 max -0 NaN -> -0 ddmax154 max 0 NaN -> 0 ddmax155 max 1 NaN -> 1 ddmax156 max 1000 NaN -> 1000 ddmax157 max Inf NaN -> Infinity ddmax161 max sNaN -Inf -> NaN Invalid_operation ddmax162 max sNaN -1000 -> NaN Invalid_operation ddmax163 max sNaN -1 -> NaN Invalid_operation ddmax164 max sNaN -0 -> NaN Invalid_operation ddmax165 max sNaN 0 -> NaN Invalid_operation ddmax166 max sNaN 1 -> NaN Invalid_operation ddmax167 max sNaN 1000 -> NaN Invalid_operation ddmax168 max sNaN NaN -> NaN Invalid_operation ddmax169 max sNaN sNaN -> NaN Invalid_operation ddmax170 max NaN sNaN -> NaN Invalid_operation ddmax171 max -Inf sNaN -> NaN Invalid_operation ddmax172 max -1000 sNaN -> NaN Invalid_operation ddmax173 max -1 sNaN -> NaN Invalid_operation ddmax174 max -0 sNaN -> NaN Invalid_operation ddmax175 max 0 sNaN -> NaN Invalid_operation ddmax176 max 1 sNaN -> NaN Invalid_operation ddmax177 max 1000 sNaN -> NaN Invalid_operation ddmax178 max Inf sNaN -> NaN Invalid_operation ddmax179 max NaN sNaN -> NaN Invalid_operation -- propagating NaNs ddmax181 max NaN9 -Inf -> -Infinity ddmax182 max NaN8 9 -> 9 ddmax183 max -NaN7 Inf -> Infinity ddmax184 max -NaN1 NaN11 -> -NaN1 ddmax185 max NaN2 NaN12 -> NaN2 ddmax186 max -NaN13 -NaN7 -> -NaN13 ddmax187 max NaN14 -NaN5 -> NaN14 ddmax188 max -Inf NaN4 -> -Infinity ddmax189 max -9 -NaN3 -> -9 ddmax190 max Inf NaN2 -> Infinity ddmax191 max sNaN99 -Inf -> NaN99 Invalid_operation ddmax192 max sNaN98 -1 -> NaN98 Invalid_operation ddmax193 max -sNaN97 NaN -> -NaN97 Invalid_operation ddmax194 max sNaN96 sNaN94 -> NaN96 Invalid_operation ddmax195 max NaN95 sNaN93 -> NaN93 Invalid_operation ddmax196 max -Inf sNaN92 -> NaN92 Invalid_operation ddmax197 max 0 sNaN91 -> NaN91 Invalid_operation ddmax198 max Inf -sNaN90 -> -NaN90 Invalid_operation ddmax199 max NaN sNaN89 -> NaN89 Invalid_operation -- old rounding checks ddmax221 max 12345678000 1 -> 12345678000 ddmax222 max 1 12345678000 -> 12345678000 ddmax223 max 1234567800 1 -> 1234567800 ddmax224 max 1 1234567800 -> 1234567800 ddmax225 max 1234567890 1 -> 1234567890 ddmax226 max 1 1234567890 -> 1234567890 ddmax227 max 1234567891 1 -> 1234567891 ddmax228 max 1 1234567891 -> 1234567891 ddmax229 max 12345678901 1 -> 12345678901 ddmax230 max 1 12345678901 -> 12345678901 ddmax231 max 1234567896 1 -> 1234567896 ddmax232 max 1 1234567896 -> 1234567896 ddmax233 max -1234567891 1 -> 1 ddmax234 max 1 -1234567891 -> 1 ddmax235 max -12345678901 1 -> 1 ddmax236 max 1 -12345678901 -> 1 ddmax237 max -1234567896 1 -> 1 ddmax238 max 1 -1234567896 -> 1 -- from examples ddmax280 max '3' '2' -> '3' ddmax281 max '-10' '3' -> '3' ddmax282 max '1.0' '1' -> '1' ddmax283 max '1' '1.0' -> '1' ddmax284 max '7' 'NaN' -> '7' -- expanded list from min/max 754r purple prose -- [explicit tests for exponent ordering] ddmax401 max Inf 1.1 -> Infinity ddmax402 max 1.1 1 -> 1.1 ddmax403 max 1 1.0 -> 1 ddmax404 max 1.0 0.1 -> 1.0 ddmax405 max 0.1 0.10 -> 0.1 ddmax406 max 0.10 0.100 -> 0.10 ddmax407 max 0.10 0 -> 0.10 ddmax408 max 0 0.0 -> 0 ddmax409 max 0.0 -0 -> 0.0 ddmax410 max 0.0 -0.0 -> 0.0 ddmax411 max 0.00 -0.0 -> 0.00 ddmax412 max 0.0 -0.00 -> 0.0 ddmax413 max 0 -0.0 -> 0 ddmax414 max 0 -0 -> 0 ddmax415 max -0.0 -0 -> -0.0 ddmax416 max -0 -0.100 -> -0 ddmax417 max -0.100 -0.10 -> -0.100 ddmax418 max -0.10 -0.1 -> -0.10 ddmax419 max -0.1 -1.0 -> -0.1 ddmax420 max -1.0 -1 -> -1.0 ddmax421 max -1 -1.1 -> -1 ddmax423 max -1.1 -Inf -> -1.1 -- same with operands reversed ddmax431 max 1.1 Inf -> Infinity ddmax432 max 1 1.1 -> 1.1 ddmax433 max 1.0 1 -> 1 ddmax434 max 0.1 1.0 -> 1.0 ddmax435 max 0.10 0.1 -> 0.1 ddmax436 max 0.100 0.10 -> 0.10 ddmax437 max 0 0.10 -> 0.10 ddmax438 max 0.0 0 -> 0 ddmax439 max -0 0.0 -> 0.0 ddmax440 max -0.0 0.0 -> 0.0 ddmax441 max -0.0 0.00 -> 0.00 ddmax442 max -0.00 0.0 -> 0.0 ddmax443 max -0.0 0 -> 0 ddmax444 max -0 0 -> 0 ddmax445 max -0 -0.0 -> -0.0 ddmax446 max -0.100 -0 -> -0 ddmax447 max -0.10 -0.100 -> -0.100 ddmax448 max -0.1 -0.10 -> -0.10 ddmax449 max -1.0 -0.1 -> -0.1 ddmax450 max -1 -1.0 -> -1.0 ddmax451 max -1.1 -1 -> -1 ddmax453 max -Inf -1.1 -> -1.1 -- largies ddmax460 max 1000 1E+3 -> 1E+3 ddmax461 max 1E+3 1000 -> 1E+3 ddmax462 max 1000 -1E+3 -> 1000 ddmax463 max 1E+3 -1000 -> 1E+3 ddmax464 max -1000 1E+3 -> 1E+3 ddmax465 max -1E+3 1000 -> 1000 ddmax466 max -1000 -1E+3 -> -1000 ddmax467 max -1E+3 -1000 -> -1000 -- misalignment traps for little-endian ddmax471 max 1.0 0.1 -> 1.0 ddmax472 max 0.1 1.0 -> 1.0 ddmax473 max 10.0 0.1 -> 10.0 ddmax474 max 0.1 10.0 -> 10.0 ddmax475 max 100 1.0 -> 100 ddmax476 max 1.0 100 -> 100 ddmax477 max 1000 10.0 -> 1000 ddmax478 max 10.0 1000 -> 1000 ddmax479 max 10000 100.0 -> 10000 ddmax480 max 100.0 10000 -> 10000 ddmax481 max 100000 1000.0 -> 100000 ddmax482 max 1000.0 100000 -> 100000 ddmax483 max 1000000 10000.0 -> 1000000 ddmax484 max 10000.0 1000000 -> 1000000 -- subnormals ddmax510 max 1.00E-383 0 -> 1.00E-383 ddmax511 max 0.1E-383 0 -> 1E-384 Subnormal ddmax512 max 0.10E-383 0 -> 1.0E-384 Subnormal ddmax513 max 0.100E-383 0 -> 1.00E-384 Subnormal ddmax514 max 0.01E-383 0 -> 1E-385 Subnormal ddmax515 max 0.999E-383 0 -> 9.99E-384 Subnormal ddmax516 max 0.099E-383 0 -> 9.9E-385 Subnormal ddmax517 max 0.009E-383 0 -> 9E-386 Subnormal ddmax518 max 0.001E-383 0 -> 1E-386 Subnormal ddmax519 max 0.0009E-383 0 -> 9E-387 Subnormal ddmax520 max 0.0001E-383 0 -> 1E-387 Subnormal ddmax530 max -1.00E-383 0 -> 0 ddmax531 max -0.1E-383 0 -> 0 ddmax532 max -0.10E-383 0 -> 0 ddmax533 max -0.100E-383 0 -> 0 ddmax534 max -0.01E-383 0 -> 0 ddmax535 max -0.999E-383 0 -> 0 ddmax536 max -0.099E-383 0 -> 0 ddmax537 max -0.009E-383 0 -> 0 ddmax538 max -0.001E-383 0 -> 0 ddmax539 max -0.0009E-383 0 -> 0 ddmax540 max -0.0001E-383 0 -> 0 -- Null tests ddmax900 max 10 # -> NaN Invalid_operation ddmax901 max # 10 -> NaN Invalid_operation SIMPAN PERUBAHAN