------------------------------------------------------------------------ | |
-- 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: 2.58 | |
-- 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 | |