?? max.dectest
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------------------------------------------------------------------------
-- max.decTest -- decimal maximum --
-- Copyright (c) IBM Corporation, 1981, 2002. 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: 2.15
-- 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: 999
-- 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
-- from examples
maxx180 max '3' '2' -> '3'
maxx181 max '-10' '3' -> '3'
maxx182 max '1.0' '1' -> '1.0'
maxx183 max '1' '1.0' -> '1'
-- rounding checks
maxexponent: 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
-- overflow and underflow tests ...
maxExponent: 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
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
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
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