| ------------------------------------------------------------------------ |
| -- 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 |
