------------------------------------------------------------------------ -- max.decTest -- decimal maximum -- -- Copyright (c) IBM Corporation, 1981, 2004. 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: 2.38 -- we assume that base comparison is tested in compare.decTest, so -- these mainly cover special cases and rounding extended: 1 precision: 9 rounding: half_up maxExponent: 384 minexponent: -383 -- sanity checks maxx001 max -2 -2 -> -2 maxx002 max -2 -1 -> -1 maxx003 max -2 0 -> 0 maxx004 max -2 1 -> 1 maxx005 max -2 2 -> 2 maxx006 max -1 -2 -> -1 maxx007 max -1 -1 -> -1 maxx008 max -1 0 -> 0 maxx009 max -1 1 -> 1 maxx010 max -1 2 -> 2 maxx011 max 0 -2 -> 0 maxx012 max 0 -1 -> 0 maxx013 max 0 0 -> 0 maxx014 max 0 1 -> 1 maxx015 max 0 2 -> 2 maxx016 max 1 -2 -> 1 maxx017 max 1 -1 -> 1 maxx018 max 1 0 -> 1 maxx019 max 1 1 -> 1 maxx020 max 1 2 -> 2 maxx021 max 2 -2 -> 2 maxx022 max 2 -1 -> 2 maxx023 max 2 0 -> 2 maxx025 max 2 1 -> 2 maxx026 max 2 2 -> 2 -- extended zeros maxx030 max 0 0 -> 0 maxx031 max 0 -0 -> 0 maxx032 max 0 -0.0 -> 0 maxx033 max 0 0.0 -> 0 maxx034 max -0 0 -> -0 -- note: -0 = 0 maxx035 max -0 -0 -> -0 maxx036 max -0 -0.0 -> -0 maxx037 max -0 0.0 -> -0 maxx038 max 0.0 0 -> 0.0 maxx039 max 0.0 -0 -> 0.0 maxx040 max 0.0 -0.0 -> 0.0 maxx041 max 0.0 0.0 -> 0.0 maxx042 max -0.0 0 -> -0.0 maxx043 max -0.0 -0 -> -0.0 maxx044 max -0.0 -0.0 -> -0.0 maxx045 max -0.0 0.0 -> -0.0 maxx046 max -0E1 0E2 -> -0E+1 maxx047 max 0E2 0E1 -> 0E+2 maxx048 max 0E1 0E2 -> 0E+1 maxx049 max -0E3 -0E2 -> -0E+3 -- Specials precision: 9 maxx090 max Inf -Inf -> Infinity maxx091 max Inf -1000 -> Infinity maxx092 max Inf -1 -> Infinity maxx093 max Inf -0 -> Infinity maxx094 max Inf 0 -> Infinity maxx095 max Inf 1 -> Infinity maxx096 max Inf 1000 -> Infinity maxx097 max Inf Inf -> Infinity maxx098 max -1000 Inf -> Infinity maxx099 max -Inf Inf -> Infinity maxx100 max -1 Inf -> Infinity maxx101 max -0 Inf -> Infinity maxx102 max 0 Inf -> Infinity maxx103 max 1 Inf -> Infinity maxx104 max 1000 Inf -> Infinity maxx105 max Inf Inf -> Infinity maxx120 max -Inf -Inf -> -Infinity maxx121 max -Inf -1000 -> -1000 maxx122 max -Inf -1 -> -1 maxx123 max -Inf -0 -> -0 maxx124 max -Inf 0 -> 0 maxx125 max -Inf 1 -> 1 maxx126 max -Inf 1000 -> 1000 maxx127 max -Inf Inf -> Infinity maxx128 max -Inf -Inf -> -Infinity maxx129 max -1000 -Inf -> -1000 maxx130 max -1 -Inf -> -1 maxx131 max -0 -Inf -> -0 maxx132 max 0 -Inf -> 0 maxx133 max 1 -Inf -> 1 maxx134 max 1000 -Inf -> 1000 maxx135 max Inf -Inf -> Infinity maxx141 max NaN -Inf -> NaN maxx142 max NaN -1000 -> NaN maxx143 max NaN -1 -> NaN maxx144 max NaN -0 -> NaN maxx145 max NaN 0 -> NaN maxx146 max NaN 1 -> NaN maxx147 max NaN 1000 -> NaN maxx148 max NaN Inf -> NaN maxx149 max NaN NaN -> NaN maxx150 max -Inf NaN -> NaN maxx151 max -1000 NaN -> NaN maxx152 max -1 NaN -> NaN maxx153 max -0 NaN -> NaN maxx154 max 0 NaN -> NaN maxx155 max 1 NaN -> NaN maxx156 max 1000 NaN -> NaN maxx157 max Inf NaN -> NaN maxx161 max sNaN -Inf -> NaN Invalid_operation maxx162 max sNaN -1000 -> NaN Invalid_operation maxx163 max sNaN -1 -> NaN Invalid_operation maxx164 max sNaN -0 -> NaN Invalid_operation maxx165 max sNaN 0 -> NaN Invalid_operation maxx166 max sNaN 1 -> NaN Invalid_operation maxx167 max sNaN 1000 -> NaN Invalid_operation maxx168 max sNaN NaN -> NaN Invalid_operation maxx169 max sNaN sNaN -> NaN Invalid_operation maxx170 max NaN sNaN -> NaN Invalid_operation maxx171 max -Inf sNaN -> NaN Invalid_operation maxx172 max -1000 sNaN -> NaN Invalid_operation maxx173 max -1 sNaN -> NaN Invalid_operation maxx174 max -0 sNaN -> NaN Invalid_operation maxx175 max 0 sNaN -> NaN Invalid_operation maxx176 max 1 sNaN -> NaN Invalid_operation maxx177 max 1000 sNaN -> NaN Invalid_operation maxx178 max Inf sNaN -> NaN Invalid_operation maxx179 max NaN sNaN -> NaN Invalid_operation -- propagating NaNs maxx181 max NaN9 -Inf -> NaN9 maxx182 max NaN8 9 -> NaN8 maxx183 max -NaN7 Inf -> -NaN7 maxx184 max NaN6 NaN5 -> NaN6 maxx185 max -Inf NaN4 -> NaN4 maxx186 max -9 -NaN3 -> -NaN3 maxx187 max Inf NaN2 -> NaN2 maxx191 max sNaN99 -Inf -> NaN99 Invalid_operation maxx192 max sNaN98 -1 -> NaN98 Invalid_operation maxx193 max -sNaN97 NaN -> -NaN97 Invalid_operation maxx194 max sNaN96 sNaN94 -> NaN96 Invalid_operation maxx195 max NaN95 sNaN93 -> NaN93 Invalid_operation maxx196 max -Inf sNaN92 -> NaN92 Invalid_operation maxx197 max 0 sNaN91 -> NaN91 Invalid_operation maxx198 max Inf -sNaN90 -> -NaN90 Invalid_operation maxx199 max NaN sNaN89 -> NaN89 Invalid_operation -- rounding checks maxexponent: 999 minexponent: -999 precision: 9 maxx201 max 12345678000 1 -> 1.23456780E+10 Rounded maxx202 max 1 12345678000 -> 1.23456780E+10 Rounded maxx203 max 1234567800 1 -> 1.23456780E+9 Rounded maxx204 max 1 1234567800 -> 1.23456780E+9 Rounded maxx205 max 1234567890 1 -> 1.23456789E+9 Rounded maxx206 max 1 1234567890 -> 1.23456789E+9 Rounded maxx207 max 1234567891 1 -> 1.23456789E+9 Inexact Rounded maxx208 max 1 1234567891 -> 1.23456789E+9 Inexact Rounded maxx209 max 12345678901 1 -> 1.23456789E+10 Inexact Rounded maxx210 max 1 12345678901 -> 1.23456789E+10 Inexact Rounded maxx211 max 1234567896 1 -> 1.23456790E+9 Inexact Rounded maxx212 max 1 1234567896 -> 1.23456790E+9 Inexact Rounded maxx213 max -1234567891 1 -> 1 maxx214 max 1 -1234567891 -> 1 maxx215 max -12345678901 1 -> 1 maxx216 max 1 -12345678901 -> 1 maxx217 max -1234567896 1 -> 1 maxx218 max 1 -1234567896 -> 1 precision: 15 maxx221 max 12345678000 1 -> 12345678000 maxx222 max 1 12345678000 -> 12345678000 maxx223 max 1234567800 1 -> 1234567800 maxx224 max 1 1234567800 -> 1234567800 maxx225 max 1234567890 1 -> 1234567890 maxx226 max 1 1234567890 -> 1234567890 maxx227 max 1234567891 1 -> 1234567891 maxx228 max 1 1234567891 -> 1234567891 maxx229 max 12345678901 1 -> 12345678901 maxx230 max 1 12345678901 -> 12345678901 maxx231 max 1234567896 1 -> 1234567896 maxx232 max 1 1234567896 -> 1234567896 maxx233 max -1234567891 1 -> 1 maxx234 max 1 -1234567891 -> 1 maxx235 max -12345678901 1 -> 1 maxx236 max 1 -12345678901 -> 1 maxx237 max -1234567896 1 -> 1 maxx238 max 1 -1234567896 -> 1 -- from examples maxx280 max '3' '2' -> '3' maxx281 max '-10' '3' -> '3' maxx282 max '1.0' '1' -> '1.0' maxx283 max '1' '1.0' -> '1' -- overflow and underflow tests ... maxExponent: 999999999 minexponent: -999999999 maxx330 max +1.23456789012345E-0 9E+999999999 -> 9E+999999999 maxx331 max 9E+999999999 +1.23456789012345E-0 -> 9E+999999999 maxx332 max +0.100 9E-999999999 -> 0.100 maxx333 max 9E-999999999 +0.100 -> 0.100 maxx335 max -1.23456789012345E-0 9E+999999999 -> 9E+999999999 maxx336 max 9E+999999999 -1.23456789012345E-0 -> 9E+999999999 maxx337 max -0.100 9E-999999999 -> 9E-999999999 maxx338 max 9E-999999999 -0.100 -> 9E-999999999 maxx339 max 1e-599999999 1e-400000001 -> 1E-400000001 maxx340 max 1e-599999999 1e-400000000 -> 1E-400000000 maxx341 max 1e-600000000 1e-400000000 -> 1E-400000000 maxx342 max 9e-999999998 0.01 -> 0.01 maxx343 max 9e-999999998 0.1 -> 0.1 maxx344 max 0.01 9e-999999998 -> 0.01 maxx345 max 1e599999999 1e400000001 -> 1E+599999999 maxx346 max 1e599999999 1e400000000 -> 1E+599999999 maxx347 max 1e600000000 1e400000000 -> 1E+600000000 maxx348 max 9e999999998 100 -> 9E+999999998 maxx349 max 9e999999998 10 -> 9E+999999998 maxx350 max 100 9e999999998 -> 9E+999999998 -- signs maxx351 max 1e+777777777 1e+411111111 -> 1E+777777777 maxx352 max 1e+777777777 -1e+411111111 -> 1E+777777777 maxx353 max -1e+777777777 1e+411111111 -> 1E+411111111 maxx354 max -1e+777777777 -1e+411111111 -> -1E+411111111 maxx355 max 1e-777777777 1e-411111111 -> 1E-411111111 maxx356 max 1e-777777777 -1e-411111111 -> 1E-777777777 maxx357 max -1e-777777777 1e-411111111 -> 1E-411111111 maxx358 max -1e-777777777 -1e-411111111 -> -1E-777777777 -- overflow tests maxexponent: 999999999 minexponent: -999999999 precision: 3 maxx400 max 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded maxx401 max -9.999E+999999999 0 -> 0 -- subnormals and underflow precision: 3 maxexponent: 999 minexponent: -999 maxx410 max 1.00E-999 0 -> 1.00E-999 maxx411 max 0.1E-999 0 -> 1E-1000 Subnormal maxx412 max 0.10E-999 0 -> 1.0E-1000 Subnormal maxx413 max 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded maxx414 max 0.01E-999 0 -> 1E-1001 Subnormal -- next is rounded to Emin maxx415 max 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow maxx416 max 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow maxx417 max 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow maxx418 max 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow maxx419 max 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow maxx420 max 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow maxx430 max -1.00E-999 0 -> 0 maxx431 max -0.1E-999 0 -> 0 maxx432 max -0.10E-999 0 -> 0 maxx433 max -0.100E-999 0 -> 0 maxx434 max -0.01E-999 0 -> 0 maxx435 max -0.999E-999 0 -> 0 maxx436 max -0.099E-999 0 -> 0 maxx437 max -0.009E-999 0 -> 0 maxx438 max -0.001E-999 0 -> 0 maxx439 max -0.0009E-999 0 -> 0 maxx440 max -0.0001E-999 0 -> 0 -- Null tests maxx900 max 10 # -> NaN Invalid_operation maxx901 max # 10 -> NaN Invalid_operation