------------------------------------------------------------------------ | |
-- 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: 2.58 | |
-- 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 |