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✏️ ddMaxMag.decTest
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------------------------------------------------------------------------ -- ddMaxMag.decTest -- decDouble maxnummag -- -- 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 ddmxg001 maxmag -2 -2 -> -2 ddmxg002 maxmag -2 -1 -> -2 ddmxg003 maxmag -2 0 -> -2 ddmxg004 maxmag -2 1 -> -2 ddmxg005 maxmag -2 2 -> 2 ddmxg006 maxmag -1 -2 -> -2 ddmxg007 maxmag -1 -1 -> -1 ddmxg008 maxmag -1 0 -> -1 ddmxg009 maxmag -1 1 -> 1 ddmxg010 maxmag -1 2 -> 2 ddmxg011 maxmag 0 -2 -> -2 ddmxg012 maxmag 0 -1 -> -1 ddmxg013 maxmag 0 0 -> 0 ddmxg014 maxmag 0 1 -> 1 ddmxg015 maxmag 0 2 -> 2 ddmxg016 maxmag 1 -2 -> -2 ddmxg017 maxmag 1 -1 -> 1 ddmxg018 maxmag 1 0 -> 1 ddmxg019 maxmag 1 1 -> 1 ddmxg020 maxmag 1 2 -> 2 ddmxg021 maxmag 2 -2 -> 2 ddmxg022 maxmag 2 -1 -> 2 ddmxg023 maxmag 2 0 -> 2 ddmxg025 maxmag 2 1 -> 2 ddmxg026 maxmag 2 2 -> 2 -- extended zeros ddmxg030 maxmag 0 0 -> 0 ddmxg031 maxmag 0 -0 -> 0 ddmxg032 maxmag 0 -0.0 -> 0 ddmxg033 maxmag 0 0.0 -> 0 ddmxg034 maxmag -0 0 -> 0 -- note: -0 = 0, but 0 chosen ddmxg035 maxmag -0 -0 -> -0 ddmxg036 maxmag -0 -0.0 -> -0.0 ddmxg037 maxmag -0 0.0 -> 0.0 ddmxg038 maxmag 0.0 0 -> 0 ddmxg039 maxmag 0.0 -0 -> 0.0 ddmxg040 maxmag 0.0 -0.0 -> 0.0 ddmxg041 maxmag 0.0 0.0 -> 0.0 ddmxg042 maxmag -0.0 0 -> 0 ddmxg043 maxmag -0.0 -0 -> -0.0 ddmxg044 maxmag -0.0 -0.0 -> -0.0 ddmxg045 maxmag -0.0 0.0 -> 0.0 ddmxg050 maxmag -0E1 0E1 -> 0E+1 ddmxg051 maxmag -0E2 0E2 -> 0E+2 ddmxg052 maxmag -0E2 0E1 -> 0E+1 ddmxg053 maxmag -0E1 0E2 -> 0E+2 ddmxg054 maxmag 0E1 -0E1 -> 0E+1 ddmxg055 maxmag 0E2 -0E2 -> 0E+2 ddmxg056 maxmag 0E2 -0E1 -> 0E+2 ddmxg057 maxmag 0E1 -0E2 -> 0E+1 ddmxg058 maxmag 0E1 0E1 -> 0E+1 ddmxg059 maxmag 0E2 0E2 -> 0E+2 ddmxg060 maxmag 0E2 0E1 -> 0E+2 ddmxg061 maxmag 0E1 0E2 -> 0E+2 ddmxg062 maxmag -0E1 -0E1 -> -0E+1 ddmxg063 maxmag -0E2 -0E2 -> -0E+2 ddmxg064 maxmag -0E2 -0E1 -> -0E+1 ddmxg065 maxmag -0E1 -0E2 -> -0E+1 -- Specials ddmxg090 maxmag Inf -Inf -> Infinity ddmxg091 maxmag Inf -1000 -> Infinity ddmxg092 maxmag Inf -1 -> Infinity ddmxg093 maxmag Inf -0 -> Infinity ddmxg094 maxmag Inf 0 -> Infinity ddmxg095 maxmag Inf 1 -> Infinity ddmxg096 maxmag Inf 1000 -> Infinity ddmxg097 maxmag Inf Inf -> Infinity ddmxg098 maxmag -1000 Inf -> Infinity ddmxg099 maxmag -Inf Inf -> Infinity ddmxg100 maxmag -1 Inf -> Infinity ddmxg101 maxmag -0 Inf -> Infinity ddmxg102 maxmag 0 Inf -> Infinity ddmxg103 maxmag 1 Inf -> Infinity ddmxg104 maxmag 1000 Inf -> Infinity ddmxg105 maxmag Inf Inf -> Infinity ddmxg120 maxmag -Inf -Inf -> -Infinity ddmxg121 maxmag -Inf -1000 -> -Infinity ddmxg122 maxmag -Inf -1 -> -Infinity ddmxg123 maxmag -Inf -0 -> -Infinity ddmxg124 maxmag -Inf 0 -> -Infinity ddmxg125 maxmag -Inf 1 -> -Infinity ddmxg126 maxmag -Inf 1000 -> -Infinity ddmxg127 maxmag -Inf Inf -> Infinity ddmxg128 maxmag -Inf -Inf -> -Infinity ddmxg129 maxmag -1000 -Inf -> -Infinity ddmxg130 maxmag -1 -Inf -> -Infinity ddmxg131 maxmag -0 -Inf -> -Infinity ddmxg132 maxmag 0 -Inf -> -Infinity ddmxg133 maxmag 1 -Inf -> -Infinity ddmxg134 maxmag 1000 -Inf -> -Infinity ddmxg135 maxmag Inf -Inf -> Infinity -- 2004.08.02 754r chooses number over NaN in mixed cases ddmxg141 maxmag NaN -Inf -> -Infinity ddmxg142 maxmag NaN -1000 -> -1000 ddmxg143 maxmag NaN -1 -> -1 ddmxg144 maxmag NaN -0 -> -0 ddmxg145 maxmag NaN 0 -> 0 ddmxg146 maxmag NaN 1 -> 1 ddmxg147 maxmag NaN 1000 -> 1000 ddmxg148 maxmag NaN Inf -> Infinity ddmxg149 maxmag NaN NaN -> NaN ddmxg150 maxmag -Inf NaN -> -Infinity ddmxg151 maxmag -1000 NaN -> -1000 ddmxg152 maxmag -1 NaN -> -1 ddmxg153 maxmag -0 NaN -> -0 ddmxg154 maxmag 0 NaN -> 0 ddmxg155 maxmag 1 NaN -> 1 ddmxg156 maxmag 1000 NaN -> 1000 ddmxg157 maxmag Inf NaN -> Infinity ddmxg161 maxmag sNaN -Inf -> NaN Invalid_operation ddmxg162 maxmag sNaN -1000 -> NaN Invalid_operation ddmxg163 maxmag sNaN -1 -> NaN Invalid_operation ddmxg164 maxmag sNaN -0 -> NaN Invalid_operation ddmxg165 maxmag sNaN 0 -> NaN Invalid_operation ddmxg166 maxmag sNaN 1 -> NaN Invalid_operation ddmxg167 maxmag sNaN 1000 -> NaN Invalid_operation ddmxg168 maxmag sNaN NaN -> NaN Invalid_operation ddmxg169 maxmag sNaN sNaN -> NaN Invalid_operation ddmxg170 maxmag NaN sNaN -> NaN Invalid_operation ddmxg171 maxmag -Inf sNaN -> NaN Invalid_operation ddmxg172 maxmag -1000 sNaN -> NaN Invalid_operation ddmxg173 maxmag -1 sNaN -> NaN Invalid_operation ddmxg174 maxmag -0 sNaN -> NaN Invalid_operation ddmxg175 maxmag 0 sNaN -> NaN Invalid_operation ddmxg176 maxmag 1 sNaN -> NaN Invalid_operation ddmxg177 maxmag 1000 sNaN -> NaN Invalid_operation ddmxg178 maxmag Inf sNaN -> NaN Invalid_operation ddmxg179 maxmag NaN sNaN -> NaN Invalid_operation -- propagating NaNs ddmxg181 maxmag NaN9 -Inf -> -Infinity ddmxg182 maxmag NaN8 9 -> 9 ddmxg183 maxmag -NaN7 Inf -> Infinity ddmxg184 maxmag -NaN1 NaN11 -> -NaN1 ddmxg185 maxmag NaN2 NaN12 -> NaN2 ddmxg186 maxmag -NaN13 -NaN7 -> -NaN13 ddmxg187 maxmag NaN14 -NaN5 -> NaN14 ddmxg188 maxmag -Inf NaN4 -> -Infinity ddmxg189 maxmag -9 -NaN3 -> -9 ddmxg190 maxmag Inf NaN2 -> Infinity ddmxg191 maxmag sNaN99 -Inf -> NaN99 Invalid_operation ddmxg192 maxmag sNaN98 -1 -> NaN98 Invalid_operation ddmxg193 maxmag -sNaN97 NaN -> -NaN97 Invalid_operation ddmxg194 maxmag sNaN96 sNaN94 -> NaN96 Invalid_operation ddmxg195 maxmag NaN95 sNaN93 -> NaN93 Invalid_operation ddmxg196 maxmag -Inf sNaN92 -> NaN92 Invalid_operation ddmxg197 maxmag 0 sNaN91 -> NaN91 Invalid_operation ddmxg198 maxmag Inf -sNaN90 -> -NaN90 Invalid_operation ddmxg199 maxmag NaN sNaN89 -> NaN89 Invalid_operation -- old rounding checks ddmxg221 maxmag 12345678000 1 -> 12345678000 ddmxg222 maxmag 1 12345678000 -> 12345678000 ddmxg223 maxmag 1234567800 1 -> 1234567800 ddmxg224 maxmag 1 1234567800 -> 1234567800 ddmxg225 maxmag 1234567890 1 -> 1234567890 ddmxg226 maxmag 1 1234567890 -> 1234567890 ddmxg227 maxmag 1234567891 1 -> 1234567891 ddmxg228 maxmag 1 1234567891 -> 1234567891 ddmxg229 maxmag 12345678901 1 -> 12345678901 ddmxg230 maxmag 1 12345678901 -> 12345678901 ddmxg231 maxmag 1234567896 1 -> 1234567896 ddmxg232 maxmag 1 1234567896 -> 1234567896 ddmxg233 maxmag -1234567891 1 -> -1234567891 ddmxg234 maxmag 1 -1234567891 -> -1234567891 ddmxg235 maxmag -12345678901 1 -> -12345678901 ddmxg236 maxmag 1 -12345678901 -> -12345678901 ddmxg237 maxmag -1234567896 1 -> -1234567896 ddmxg238 maxmag 1 -1234567896 -> -1234567896 -- from examples ddmxg280 maxmag '3' '2' -> '3' ddmxg281 maxmag '-10' '3' -> '-10' ddmxg282 maxmag '1.0' '1' -> '1' ddmxg283 maxmag '1' '1.0' -> '1' ddmxg284 maxmag '7' 'NaN' -> '7' -- expanded list from min/max 754r purple prose -- [explicit tests for exponent ordering] ddmxg401 maxmag Inf 1.1 -> Infinity ddmxg402 maxmag 1.1 1 -> 1.1 ddmxg403 maxmag 1 1.0 -> 1 ddmxg404 maxmag 1.0 0.1 -> 1.0 ddmxg405 maxmag 0.1 0.10 -> 0.1 ddmxg406 maxmag 0.10 0.100 -> 0.10 ddmxg407 maxmag 0.10 0 -> 0.10 ddmxg408 maxmag 0 0.0 -> 0 ddmxg409 maxmag 0.0 -0 -> 0.0 ddmxg410 maxmag 0.0 -0.0 -> 0.0 ddmxg411 maxmag 0.00 -0.0 -> 0.00 ddmxg412 maxmag 0.0 -0.00 -> 0.0 ddmxg413 maxmag 0 -0.0 -> 0 ddmxg414 maxmag 0 -0 -> 0 ddmxg415 maxmag -0.0 -0 -> -0.0 ddmxg416 maxmag -0 -0.100 -> -0.100 ddmxg417 maxmag -0.100 -0.10 -> -0.100 ddmxg418 maxmag -0.10 -0.1 -> -0.10 ddmxg419 maxmag -0.1 -1.0 -> -1.0 ddmxg420 maxmag -1.0 -1 -> -1.0 ddmxg421 maxmag -1 -1.1 -> -1.1 ddmxg423 maxmag -1.1 -Inf -> -Infinity -- same with operands reversed ddmxg431 maxmag 1.1 Inf -> Infinity ddmxg432 maxmag 1 1.1 -> 1.1 ddmxg433 maxmag 1.0 1 -> 1 ddmxg434 maxmag 0.1 1.0 -> 1.0 ddmxg435 maxmag 0.10 0.1 -> 0.1 ddmxg436 maxmag 0.100 0.10 -> 0.10 ddmxg437 maxmag 0 0.10 -> 0.10 ddmxg438 maxmag 0.0 0 -> 0 ddmxg439 maxmag -0 0.0 -> 0.0 ddmxg440 maxmag -0.0 0.0 -> 0.0 ddmxg441 maxmag -0.0 0.00 -> 0.00 ddmxg442 maxmag -0.00 0.0 -> 0.0 ddmxg443 maxmag -0.0 0 -> 0 ddmxg444 maxmag -0 0 -> 0 ddmxg445 maxmag -0 -0.0 -> -0.0 ddmxg446 maxmag -0.100 -0 -> -0.100 ddmxg447 maxmag -0.10 -0.100 -> -0.100 ddmxg448 maxmag -0.1 -0.10 -> -0.10 ddmxg449 maxmag -1.0 -0.1 -> -1.0 ddmxg450 maxmag -1 -1.0 -> -1.0 ddmxg451 maxmag -1.1 -1 -> -1.1 ddmxg453 maxmag -Inf -1.1 -> -Infinity -- largies ddmxg460 maxmag 1000 1E+3 -> 1E+3 ddmxg461 maxmag 1E+3 1000 -> 1E+3 ddmxg462 maxmag 1000 -1E+3 -> 1000 ddmxg463 maxmag 1E+3 -1000 -> 1E+3 ddmxg464 maxmag -1000 1E+3 -> 1E+3 ddmxg465 maxmag -1E+3 1000 -> 1000 ddmxg466 maxmag -1000 -1E+3 -> -1000 ddmxg467 maxmag -1E+3 -1000 -> -1000 -- subnormals ddmxg510 maxmag 1.00E-383 0 -> 1.00E-383 ddmxg511 maxmag 0.1E-383 0 -> 1E-384 Subnormal ddmxg512 maxmag 0.10E-383 0 -> 1.0E-384 Subnormal ddmxg513 maxmag 0.100E-383 0 -> 1.00E-384 Subnormal ddmxg514 maxmag 0.01E-383 0 -> 1E-385 Subnormal ddmxg515 maxmag 0.999E-383 0 -> 9.99E-384 Subnormal ddmxg516 maxmag 0.099E-383 0 -> 9.9E-385 Subnormal ddmxg517 maxmag 0.009E-383 0 -> 9E-386 Subnormal ddmxg518 maxmag 0.001E-383 0 -> 1E-386 Subnormal ddmxg519 maxmag 0.0009E-383 0 -> 9E-387 Subnormal ddmxg520 maxmag 0.0001E-383 0 -> 1E-387 Subnormal ddmxg530 maxmag -1.00E-383 0 -> -1.00E-383 ddmxg531 maxmag -0.1E-383 0 -> -1E-384 Subnormal ddmxg532 maxmag -0.10E-383 0 -> -1.0E-384 Subnormal ddmxg533 maxmag -0.100E-383 0 -> -1.00E-384 Subnormal ddmxg534 maxmag -0.01E-383 0 -> -1E-385 Subnormal ddmxg535 maxmag -0.999E-383 0 -> -9.99E-384 Subnormal ddmxg536 maxmag -0.099E-383 0 -> -9.9E-385 Subnormal ddmxg537 maxmag -0.009E-383 0 -> -9E-386 Subnormal ddmxg538 maxmag -0.001E-383 0 -> -1E-386 Subnormal ddmxg539 maxmag -0.0009E-383 0 -> -9E-387 Subnormal ddmxg540 maxmag -0.0001E-383 0 -> -1E-387 Subnormal -- Null tests ddmxg900 maxmag 10 # -> NaN Invalid_operation ddmxg901 maxmag # 10 -> NaN Invalid_operation
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