| ------------------------------------------------------------------------ |
| -- max.decTest -- decimal maximum -- |
| -- 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 |
| |
| 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, but 0 chosen |
| maxx035 max -0 -0 -> -0 |
| maxx036 max -0 -0.0 -> -0.0 |
| maxx037 max -0 0.0 -> 0.0 |
| maxx038 max 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 |
| maxx043 max -0.0 -0 -> -0.0 |
| maxx044 max -0.0 -0.0 -> -0.0 |
| maxx045 max -0.0 0.0 -> 0.0 |
| |
| maxx050 max -0E1 0E1 -> 0E+1 |
| maxx051 max -0E2 0E2 -> 0E+2 |
| maxx052 max -0E2 0E1 -> 0E+1 |
| maxx053 max -0E1 0E2 -> 0E+2 |
| maxx054 max 0E1 -0E1 -> 0E+1 |
| maxx055 max 0E2 -0E2 -> 0E+2 |
| maxx056 max 0E2 -0E1 -> 0E+2 |
| maxx057 max 0E1 -0E2 -> 0E+1 |
| |
| maxx058 max 0E1 0E1 -> 0E+1 |
| maxx059 max 0E2 0E2 -> 0E+2 |
| maxx060 max 0E2 0E1 -> 0E+2 |
| maxx061 max 0E1 0E2 -> 0E+2 |
| maxx062 max -0E1 -0E1 -> -0E+1 |
| maxx063 max -0E2 -0E2 -> -0E+2 |
| maxx064 max -0E2 -0E1 -> -0E+1 |
| maxx065 max -0E1 -0E2 -> -0E+1 |
| |
| -- 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 |
| |
| -- 2004.08.02 754r chooses number over NaN in mixed cases |
| maxx141 max NaN -Inf -> -Infinity |
| maxx142 max NaN -1000 -> -1000 |
| maxx143 max NaN -1 -> -1 |
| maxx144 max NaN -0 -> -0 |
| maxx145 max NaN 0 -> 0 |
| maxx146 max NaN 1 -> 1 |
| maxx147 max NaN 1000 -> 1000 |
| maxx148 max NaN Inf -> Infinity |
| maxx149 max NaN NaN -> NaN |
| maxx150 max -Inf NaN -> -Infinity |
| maxx151 max -1000 NaN -> -1000 |
| maxx152 max -1 NaN -> -1 |
| maxx153 max -0 NaN -> -0 |
| maxx154 max 0 NaN -> 0 |
| maxx155 max 1 NaN -> 1 |
| maxx156 max 1000 NaN -> 1000 |
| maxx157 max Inf NaN -> Infinity |
| |
| 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 -> -Infinity |
| maxx182 max NaN8 9 -> 9 |
| maxx183 max -NaN7 Inf -> Infinity |
| |
| maxx184 max -NaN1 NaN11 -> -NaN1 |
| maxx185 max NaN2 NaN12 -> NaN2 |
| maxx186 max -NaN13 -NaN7 -> -NaN13 |
| maxx187 max NaN14 -NaN5 -> NaN14 |
| |
| maxx188 max -Inf NaN4 -> -Infinity |
| maxx189 max -9 -NaN3 -> -9 |
| maxx190 max Inf NaN2 -> Infinity |
| |
| 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' |
| maxx283 max '1' '1.0' -> '1' |
| maxx284 max '7' 'NaN' -> '7' |
| |
| -- 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 |
| |
| -- expanded list from min/max 754r purple prose |
| -- [explicit tests for exponent ordering] |
| maxx401 max Inf 1.1 -> Infinity |
| maxx402 max 1.1 1 -> 1.1 |
| maxx403 max 1 1.0 -> 1 |
| maxx404 max 1.0 0.1 -> 1.0 |
| maxx405 max 0.1 0.10 -> 0.1 |
| maxx406 max 0.10 0.100 -> 0.10 |
| maxx407 max 0.10 0 -> 0.10 |
| maxx408 max 0 0.0 -> 0 |
| maxx409 max 0.0 -0 -> 0.0 |
| maxx410 max 0.0 -0.0 -> 0.0 |
| maxx411 max 0.00 -0.0 -> 0.00 |
| maxx412 max 0.0 -0.00 -> 0.0 |
| maxx413 max 0 -0.0 -> 0 |
| maxx414 max 0 -0 -> 0 |
| maxx415 max -0.0 -0 -> -0.0 |
| maxx416 max -0 -0.100 -> -0 |
| maxx417 max -0.100 -0.10 -> -0.100 |
| maxx418 max -0.10 -0.1 -> -0.10 |
| maxx419 max -0.1 -1.0 -> -0.1 |
| maxx420 max -1.0 -1 -> -1.0 |
| maxx421 max -1 -1.1 -> -1 |
| maxx423 max -1.1 -Inf -> -1.1 |
| -- same with operands reversed |
| maxx431 max 1.1 Inf -> Infinity |
| maxx432 max 1 1.1 -> 1.1 |
| maxx433 max 1.0 1 -> 1 |
| maxx434 max 0.1 1.0 -> 1.0 |
| maxx435 max 0.10 0.1 -> 0.1 |
| maxx436 max 0.100 0.10 -> 0.10 |
| maxx437 max 0 0.10 -> 0.10 |
| maxx438 max 0.0 0 -> 0 |
| maxx439 max -0 0.0 -> 0.0 |
| maxx440 max -0.0 0.0 -> 0.0 |
| maxx441 max -0.0 0.00 -> 0.00 |
| maxx442 max -0.00 0.0 -> 0.0 |
| maxx443 max -0.0 0 -> 0 |
| maxx444 max -0 0 -> 0 |
| maxx445 max -0 -0.0 -> -0.0 |
| maxx446 max -0.100 -0 -> -0 |
| maxx447 max -0.10 -0.100 -> -0.100 |
| maxx448 max -0.1 -0.10 -> -0.10 |
| maxx449 max -1.0 -0.1 -> -0.1 |
| maxx450 max -1 -1.0 -> -1.0 |
| maxx451 max -1.1 -1 -> -1 |
| maxx453 max -Inf -1.1 -> -1.1 |
| -- largies |
| maxx460 max 1000 1E+3 -> 1E+3 |
| maxx461 max 1E+3 1000 -> 1E+3 |
| maxx462 max 1000 -1E+3 -> 1000 |
| maxx463 max 1E+3 -1000 -> 1E+3 |
| maxx464 max -1000 1E+3 -> 1E+3 |
| maxx465 max -1E+3 1000 -> 1000 |
| maxx466 max -1000 -1E+3 -> -1000 |
| maxx467 max -1E+3 -1000 -> -1000 |
| |
| -- rounding (results treated as though plus) |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| precision: 3 |
| |
| maxx470 max 1 .5 -> 1 |
| maxx471 max 10 5 -> 10 |
| maxx472 max 100 50 -> 100 |
| maxx473 max 1000 500 -> 1.00E+3 Rounded |
| maxx474 max 10000 5000 -> 1.00E+4 Rounded |
| maxx475 max 6 .5 -> 6 |
| maxx476 max 66 5 -> 66 |
| maxx477 max 666 50 -> 666 |
| maxx478 max 6666 500 -> 6.67E+3 Rounded Inexact |
| maxx479 max 66666 5000 -> 6.67E+4 Rounded Inexact |
| maxx480 max 33333 5000 -> 3.33E+4 Rounded Inexact |
| maxx481 max .5 1 -> 1 |
| maxx482 max .5 10 -> 10 |
| maxx483 max .5 100 -> 100 |
| maxx484 max .5 1000 -> 1.00E+3 Rounded |
| maxx485 max .5 10000 -> 1.00E+4 Rounded |
| maxx486 max .5 6 -> 6 |
| maxx487 max .5 66 -> 66 |
| maxx488 max .5 666 -> 666 |
| maxx489 max .5 6666 -> 6.67E+3 Rounded Inexact |
| maxx490 max .5 66666 -> 6.67E+4 Rounded Inexact |
| maxx491 max .5 33333 -> 3.33E+4 Rounded Inexact |
| |
| -- overflow tests |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| precision: 3 |
| maxx500 max 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded |
| maxx501 max -9.999E+999999999 0 -> 0 |
| |
| -- subnormals and underflow |
| precision: 3 |
| maxexponent: 999 |
| minexponent: -999 |
| maxx510 max 1.00E-999 0 -> 1.00E-999 |
| maxx511 max 0.1E-999 0 -> 1E-1000 Subnormal |
| maxx512 max 0.10E-999 0 -> 1.0E-1000 Subnormal |
| maxx513 max 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded |
| maxx514 max 0.01E-999 0 -> 1E-1001 Subnormal |
| -- next is rounded to Nmin |
| maxx515 max 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow |
| maxx516 max 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow |
| maxx517 max 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow |
| maxx518 max 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped |
| maxx519 max 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped |
| maxx520 max 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped |
| |
| maxx530 max -1.00E-999 0 -> 0 |
| maxx531 max -0.1E-999 0 -> 0 |
| maxx532 max -0.10E-999 0 -> 0 |
| maxx533 max -0.100E-999 0 -> 0 |
| maxx534 max -0.01E-999 0 -> 0 |
| maxx535 max -0.999E-999 0 -> 0 |
| maxx536 max -0.099E-999 0 -> 0 |
| maxx537 max -0.009E-999 0 -> 0 |
| maxx538 max -0.001E-999 0 -> 0 |
| maxx539 max -0.0009E-999 0 -> 0 |
| maxx540 max -0.0001E-999 0 -> 0 |
| |
| -- misalignment traps for little-endian |
| precision: 9 |
| maxx551 max 1.0 0.1 -> 1.0 |
| maxx552 max 0.1 1.0 -> 1.0 |
| maxx553 max 10.0 0.1 -> 10.0 |
| maxx554 max 0.1 10.0 -> 10.0 |
| maxx555 max 100 1.0 -> 100 |
| maxx556 max 1.0 100 -> 100 |
| maxx557 max 1000 10.0 -> 1000 |
| maxx558 max 10.0 1000 -> 1000 |
| maxx559 max 10000 100.0 -> 10000 |
| maxx560 max 100.0 10000 -> 10000 |
| maxx661 max 100000 1000.0 -> 100000 |
| maxx662 max 1000.0 100000 -> 100000 |
| maxx663 max 1000000 10000.0 -> 1000000 |
| maxx664 max 10000.0 1000000 -> 1000000 |
| |
| -- payload decapitate |
| precision: 5 |
| maxx670 max 11 -sNaN12345678901 -> -NaN78901 Invalid_operation |
| |
| -- Null tests |
| maxx900 max 10 # -> NaN Invalid_operation |
| maxx901 max # 10 -> NaN Invalid_operation |
| |
| |
| |
