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✏️ tointegralx.decTest
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------------------------------------------------------------------------ -- tointegralx.decTest -- round decimal to integral value, exact -- -- Copyright (c) IBM Corporation, 2001, 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 -- This set of tests tests the extended specification 'round-to-integral -- value' operation (from IEEE 854, later modified in 754r). -- All non-zero results are defined as being those from either copy or -- quantize, so those are assumed to have been tested. -- This tests toIntegraExact, which may set Inexact extended: 1 precision: 9 rounding: half_up maxExponent: 999 minExponent: -999 intxx001 tointegralx 0 -> 0 intxx002 tointegralx 0.0 -> 0 intxx003 tointegralx 0.1 -> 0 Inexact Rounded intxx004 tointegralx 0.2 -> 0 Inexact Rounded intxx005 tointegralx 0.3 -> 0 Inexact Rounded intxx006 tointegralx 0.4 -> 0 Inexact Rounded intxx007 tointegralx 0.5 -> 1 Inexact Rounded intxx008 tointegralx 0.6 -> 1 Inexact Rounded intxx009 tointegralx 0.7 -> 1 Inexact Rounded intxx010 tointegralx 0.8 -> 1 Inexact Rounded intxx011 tointegralx 0.9 -> 1 Inexact Rounded intxx012 tointegralx 1 -> 1 intxx013 tointegralx 1.0 -> 1 Rounded intxx014 tointegralx 1.1 -> 1 Inexact Rounded intxx015 tointegralx 1.2 -> 1 Inexact Rounded intxx016 tointegralx 1.3 -> 1 Inexact Rounded intxx017 tointegralx 1.4 -> 1 Inexact Rounded intxx018 tointegralx 1.5 -> 2 Inexact Rounded intxx019 tointegralx 1.6 -> 2 Inexact Rounded intxx020 tointegralx 1.7 -> 2 Inexact Rounded intxx021 tointegralx 1.8 -> 2 Inexact Rounded intxx022 tointegralx 1.9 -> 2 Inexact Rounded -- negatives intxx031 tointegralx -0 -> -0 intxx032 tointegralx -0.0 -> -0 intxx033 tointegralx -0.1 -> -0 Inexact Rounded intxx034 tointegralx -0.2 -> -0 Inexact Rounded intxx035 tointegralx -0.3 -> -0 Inexact Rounded intxx036 tointegralx -0.4 -> -0 Inexact Rounded intxx037 tointegralx -0.5 -> -1 Inexact Rounded intxx038 tointegralx -0.6 -> -1 Inexact Rounded intxx039 tointegralx -0.7 -> -1 Inexact Rounded intxx040 tointegralx -0.8 -> -1 Inexact Rounded intxx041 tointegralx -0.9 -> -1 Inexact Rounded intxx042 tointegralx -1 -> -1 intxx043 tointegralx -1.0 -> -1 Rounded intxx044 tointegralx -1.1 -> -1 Inexact Rounded intxx045 tointegralx -1.2 -> -1 Inexact Rounded intxx046 tointegralx -1.3 -> -1 Inexact Rounded intxx047 tointegralx -1.4 -> -1 Inexact Rounded intxx048 tointegralx -1.5 -> -2 Inexact Rounded intxx049 tointegralx -1.6 -> -2 Inexact Rounded intxx050 tointegralx -1.7 -> -2 Inexact Rounded intxx051 tointegralx -1.8 -> -2 Inexact Rounded intxx052 tointegralx -1.9 -> -2 Inexact Rounded -- next two would be NaN using quantize(x, 0) intxx053 tointegralx 10E+30 -> 1.0E+31 intxx054 tointegralx -10E+30 -> -1.0E+31 -- numbers around precision precision: 9 intxx060 tointegralx '56267E-10' -> '0' Inexact Rounded intxx061 tointegralx '56267E-5' -> '1' Inexact Rounded intxx062 tointegralx '56267E-2' -> '563' Inexact Rounded intxx063 tointegralx '56267E-1' -> '5627' Inexact Rounded intxx065 tointegralx '56267E-0' -> '56267' intxx066 tointegralx '56267E+0' -> '56267' intxx067 tointegralx '56267E+1' -> '5.6267E+5' intxx068 tointegralx '56267E+2' -> '5.6267E+6' intxx069 tointegralx '56267E+3' -> '5.6267E+7' intxx070 tointegralx '56267E+4' -> '5.6267E+8' intxx071 tointegralx '56267E+5' -> '5.6267E+9' intxx072 tointegralx '56267E+6' -> '5.6267E+10' intxx073 tointegralx '1.23E+96' -> '1.23E+96' intxx074 tointegralx '1.23E+384' -> '1.23E+384' intxx075 tointegralx '1.23E+999' -> '1.23E+999' intxx080 tointegralx '-56267E-10' -> '-0' Inexact Rounded intxx081 tointegralx '-56267E-5' -> '-1' Inexact Rounded intxx082 tointegralx '-56267E-2' -> '-563' Inexact Rounded intxx083 tointegralx '-56267E-1' -> '-5627' Inexact Rounded intxx085 tointegralx '-56267E-0' -> '-56267' intxx086 tointegralx '-56267E+0' -> '-56267' intxx087 tointegralx '-56267E+1' -> '-5.6267E+5' intxx088 tointegralx '-56267E+2' -> '-5.6267E+6' intxx089 tointegralx '-56267E+3' -> '-5.6267E+7' intxx090 tointegralx '-56267E+4' -> '-5.6267E+8' intxx091 tointegralx '-56267E+5' -> '-5.6267E+9' intxx092 tointegralx '-56267E+6' -> '-5.6267E+10' intxx093 tointegralx '-1.23E+96' -> '-1.23E+96' intxx094 tointegralx '-1.23E+384' -> '-1.23E+384' intxx095 tointegralx '-1.23E+999' -> '-1.23E+999' -- subnormal inputs intxx100 tointegralx 1E-999 -> 0 Inexact Rounded intxx101 tointegralx 0.1E-999 -> 0 Inexact Rounded intxx102 tointegralx 0.01E-999 -> 0 Inexact Rounded intxx103 tointegralx 0E-999 -> 0 -- specials and zeros intxx120 tointegralx 'Inf' -> Infinity intxx121 tointegralx '-Inf' -> -Infinity intxx122 tointegralx NaN -> NaN intxx123 tointegralx sNaN -> NaN Invalid_operation intxx124 tointegralx 0 -> 0 intxx125 tointegralx -0 -> -0 intxx126 tointegralx 0.000 -> 0 intxx127 tointegralx 0.00 -> 0 intxx128 tointegralx 0.0 -> 0 intxx129 tointegralx 0 -> 0 intxx130 tointegralx 0E-3 -> 0 intxx131 tointegralx 0E-2 -> 0 intxx132 tointegralx 0E-1 -> 0 intxx133 tointegralx 0E-0 -> 0 intxx134 tointegralx 0E+1 -> 0E+1 intxx135 tointegralx 0E+2 -> 0E+2 intxx136 tointegralx 0E+3 -> 0E+3 intxx137 tointegralx 0E+4 -> 0E+4 intxx138 tointegralx 0E+5 -> 0E+5 intxx139 tointegralx -0.000 -> -0 intxx140 tointegralx -0.00 -> -0 intxx141 tointegralx -0.0 -> -0 intxx142 tointegralx -0 -> -0 intxx143 tointegralx -0E-3 -> -0 intxx144 tointegralx -0E-2 -> -0 intxx145 tointegralx -0E-1 -> -0 intxx146 tointegralx -0E-0 -> -0 intxx147 tointegralx -0E+1 -> -0E+1 intxx148 tointegralx -0E+2 -> -0E+2 intxx149 tointegralx -0E+3 -> -0E+3 intxx150 tointegralx -0E+4 -> -0E+4 intxx151 tointegralx -0E+5 -> -0E+5 -- propagating NaNs intxx152 tointegralx NaN808 -> NaN808 intxx153 tointegralx sNaN080 -> NaN80 Invalid_operation intxx154 tointegralx -NaN808 -> -NaN808 intxx155 tointegralx -sNaN080 -> -NaN80 Invalid_operation intxx156 tointegralx -NaN -> -NaN intxx157 tointegralx -sNaN -> -NaN Invalid_operation -- examples rounding: half_up precision: 9 intxx200 tointegralx 2.1 -> 2 Inexact Rounded intxx201 tointegralx 100 -> 100 intxx202 tointegralx 100.0 -> 100 Rounded intxx203 tointegralx 101.5 -> 102 Inexact Rounded intxx204 tointegralx -101.5 -> -102 Inexact Rounded intxx205 tointegralx 10E+5 -> 1.0E+6 intxx206 tointegralx 7.89E+77 -> 7.89E+77 intxx207 tointegralx -Inf -> -Infinity -- all rounding modes rounding: half_even intxx210 tointegralx 55.5 -> 56 Inexact Rounded intxx211 tointegralx 56.5 -> 56 Inexact Rounded intxx212 tointegralx 57.5 -> 58 Inexact Rounded intxx213 tointegralx -55.5 -> -56 Inexact Rounded intxx214 tointegralx -56.5 -> -56 Inexact Rounded intxx215 tointegralx -57.5 -> -58 Inexact Rounded rounding: half_up intxx220 tointegralx 55.5 -> 56 Inexact Rounded intxx221 tointegralx 56.5 -> 57 Inexact Rounded intxx222 tointegralx 57.5 -> 58 Inexact Rounded intxx223 tointegralx -55.5 -> -56 Inexact Rounded intxx224 tointegralx -56.5 -> -57 Inexact Rounded intxx225 tointegralx -57.5 -> -58 Inexact Rounded rounding: half_down intxx230 tointegralx 55.5 -> 55 Inexact Rounded intxx231 tointegralx 56.5 -> 56 Inexact Rounded intxx232 tointegralx 57.5 -> 57 Inexact Rounded intxx233 tointegralx -55.5 -> -55 Inexact Rounded intxx234 tointegralx -56.5 -> -56 Inexact Rounded intxx235 tointegralx -57.5 -> -57 Inexact Rounded rounding: up intxx240 tointegralx 55.3 -> 56 Inexact Rounded intxx241 tointegralx 56.3 -> 57 Inexact Rounded intxx242 tointegralx 57.3 -> 58 Inexact Rounded intxx243 tointegralx -55.3 -> -56 Inexact Rounded intxx244 tointegralx -56.3 -> -57 Inexact Rounded intxx245 tointegralx -57.3 -> -58 Inexact Rounded rounding: down intxx250 tointegralx 55.7 -> 55 Inexact Rounded intxx251 tointegralx 56.7 -> 56 Inexact Rounded intxx252 tointegralx 57.7 -> 57 Inexact Rounded intxx253 tointegralx -55.7 -> -55 Inexact Rounded intxx254 tointegralx -56.7 -> -56 Inexact Rounded intxx255 tointegralx -57.7 -> -57 Inexact Rounded rounding: ceiling intxx260 tointegralx 55.3 -> 56 Inexact Rounded intxx261 tointegralx 56.3 -> 57 Inexact Rounded intxx262 tointegralx 57.3 -> 58 Inexact Rounded intxx263 tointegralx -55.3 -> -55 Inexact Rounded intxx264 tointegralx -56.3 -> -56 Inexact Rounded intxx265 tointegralx -57.3 -> -57 Inexact Rounded rounding: floor intxx270 tointegralx 55.7 -> 55 Inexact Rounded intxx271 tointegralx 56.7 -> 56 Inexact Rounded intxx272 tointegralx 57.7 -> 57 Inexact Rounded intxx273 tointegralx -55.7 -> -56 Inexact Rounded intxx274 tointegralx -56.7 -> -57 Inexact Rounded intxx275 tointegralx -57.7 -> -58 Inexact Rounded -- Int and uInt32 edge values for testing conversions precision: 16 intxx300 tointegralx -2147483646 -> -2147483646 intxx301 tointegralx -2147483647 -> -2147483647 intxx302 tointegralx -2147483648 -> -2147483648 intxx303 tointegralx -2147483649 -> -2147483649 intxx304 tointegralx 2147483646 -> 2147483646 intxx305 tointegralx 2147483647 -> 2147483647 intxx306 tointegralx 2147483648 -> 2147483648 intxx307 tointegralx 2147483649 -> 2147483649 intxx308 tointegralx 4294967294 -> 4294967294 intxx309 tointegralx 4294967295 -> 4294967295 intxx310 tointegralx 4294967296 -> 4294967296 intxx311 tointegralx 4294967297 -> 4294967297
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