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✏️ max.decTest
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------------------------------------------------------------------------ -- 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
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