2007-09-13 15:13:15 -03:00
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------------------------------------------------------------------------
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-- tointegralx.decTest -- round decimal to integral value, exact --
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2008-07-27 03:39:07 -03:00
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-- Copyright (c) IBM Corporation, 2001, 2008. All rights reserved. --
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2007-09-13 15:13:15 -03:00
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------------------------------------------------------------------------
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-- Please see the document "General Decimal Arithmetic Testcases" --
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-- at http://www2.hursley.ibm.com/decimal for the description of --
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-- these testcases. --
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-- --
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-- These testcases are experimental ('beta' versions), and they --
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-- may contain errors. They are offered on an as-is basis. In --
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-- particular, achieving the same results as the tests here is not --
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-- a guarantee that an implementation complies with any Standard --
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-- or specification. The tests are not exhaustive. --
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-- --
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-- Please send comments, suggestions, and corrections to the author: --
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-- Mike Cowlishaw, IBM Fellow --
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-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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-- mfc@uk.ibm.com --
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------------------------------------------------------------------------
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2008-07-27 03:39:07 -03:00
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version: 2.58
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2007-09-13 15:13:15 -03:00
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-- This set of tests tests the extended specification 'round-to-integral
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-- value' operation (from IEEE 854, later modified in 754r).
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-- All non-zero results are defined as being those from either copy or
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-- quantize, so those are assumed to have been tested.
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-- This tests toIntegraExact, which may set Inexact
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extended: 1
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precision: 9
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rounding: half_up
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maxExponent: 999
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minExponent: -999
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intxx001 tointegralx 0 -> 0
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intxx002 tointegralx 0.0 -> 0
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intxx003 tointegralx 0.1 -> 0 Inexact Rounded
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intxx004 tointegralx 0.2 -> 0 Inexact Rounded
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intxx005 tointegralx 0.3 -> 0 Inexact Rounded
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intxx006 tointegralx 0.4 -> 0 Inexact Rounded
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intxx007 tointegralx 0.5 -> 1 Inexact Rounded
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intxx008 tointegralx 0.6 -> 1 Inexact Rounded
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intxx009 tointegralx 0.7 -> 1 Inexact Rounded
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intxx010 tointegralx 0.8 -> 1 Inexact Rounded
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intxx011 tointegralx 0.9 -> 1 Inexact Rounded
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intxx012 tointegralx 1 -> 1
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intxx013 tointegralx 1.0 -> 1 Rounded
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intxx014 tointegralx 1.1 -> 1 Inexact Rounded
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intxx015 tointegralx 1.2 -> 1 Inexact Rounded
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intxx016 tointegralx 1.3 -> 1 Inexact Rounded
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intxx017 tointegralx 1.4 -> 1 Inexact Rounded
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intxx018 tointegralx 1.5 -> 2 Inexact Rounded
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intxx019 tointegralx 1.6 -> 2 Inexact Rounded
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intxx020 tointegralx 1.7 -> 2 Inexact Rounded
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intxx021 tointegralx 1.8 -> 2 Inexact Rounded
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intxx022 tointegralx 1.9 -> 2 Inexact Rounded
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-- negatives
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intxx031 tointegralx -0 -> -0
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intxx032 tointegralx -0.0 -> -0
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intxx033 tointegralx -0.1 -> -0 Inexact Rounded
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intxx034 tointegralx -0.2 -> -0 Inexact Rounded
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intxx035 tointegralx -0.3 -> -0 Inexact Rounded
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intxx036 tointegralx -0.4 -> -0 Inexact Rounded
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intxx037 tointegralx -0.5 -> -1 Inexact Rounded
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intxx038 tointegralx -0.6 -> -1 Inexact Rounded
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intxx039 tointegralx -0.7 -> -1 Inexact Rounded
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intxx040 tointegralx -0.8 -> -1 Inexact Rounded
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intxx041 tointegralx -0.9 -> -1 Inexact Rounded
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intxx042 tointegralx -1 -> -1
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intxx043 tointegralx -1.0 -> -1 Rounded
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intxx044 tointegralx -1.1 -> -1 Inexact Rounded
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intxx045 tointegralx -1.2 -> -1 Inexact Rounded
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intxx046 tointegralx -1.3 -> -1 Inexact Rounded
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intxx047 tointegralx -1.4 -> -1 Inexact Rounded
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intxx048 tointegralx -1.5 -> -2 Inexact Rounded
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intxx049 tointegralx -1.6 -> -2 Inexact Rounded
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intxx050 tointegralx -1.7 -> -2 Inexact Rounded
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intxx051 tointegralx -1.8 -> -2 Inexact Rounded
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intxx052 tointegralx -1.9 -> -2 Inexact Rounded
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-- next two would be NaN using quantize(x, 0)
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intxx053 tointegralx 10E+30 -> 1.0E+31
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intxx054 tointegralx -10E+30 -> -1.0E+31
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-- numbers around precision
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precision: 9
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intxx060 tointegralx '56267E-10' -> '0' Inexact Rounded
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intxx061 tointegralx '56267E-5' -> '1' Inexact Rounded
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intxx062 tointegralx '56267E-2' -> '563' Inexact Rounded
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intxx063 tointegralx '56267E-1' -> '5627' Inexact Rounded
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intxx065 tointegralx '56267E-0' -> '56267'
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intxx066 tointegralx '56267E+0' -> '56267'
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intxx067 tointegralx '56267E+1' -> '5.6267E+5'
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intxx068 tointegralx '56267E+2' -> '5.6267E+6'
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intxx069 tointegralx '56267E+3' -> '5.6267E+7'
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intxx070 tointegralx '56267E+4' -> '5.6267E+8'
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intxx071 tointegralx '56267E+5' -> '5.6267E+9'
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intxx072 tointegralx '56267E+6' -> '5.6267E+10'
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intxx073 tointegralx '1.23E+96' -> '1.23E+96'
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intxx074 tointegralx '1.23E+384' -> '1.23E+384'
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intxx075 tointegralx '1.23E+999' -> '1.23E+999'
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intxx080 tointegralx '-56267E-10' -> '-0' Inexact Rounded
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intxx081 tointegralx '-56267E-5' -> '-1' Inexact Rounded
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intxx082 tointegralx '-56267E-2' -> '-563' Inexact Rounded
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intxx083 tointegralx '-56267E-1' -> '-5627' Inexact Rounded
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intxx085 tointegralx '-56267E-0' -> '-56267'
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intxx086 tointegralx '-56267E+0' -> '-56267'
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intxx087 tointegralx '-56267E+1' -> '-5.6267E+5'
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intxx088 tointegralx '-56267E+2' -> '-5.6267E+6'
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intxx089 tointegralx '-56267E+3' -> '-5.6267E+7'
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intxx090 tointegralx '-56267E+4' -> '-5.6267E+8'
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intxx091 tointegralx '-56267E+5' -> '-5.6267E+9'
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intxx092 tointegralx '-56267E+6' -> '-5.6267E+10'
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intxx093 tointegralx '-1.23E+96' -> '-1.23E+96'
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intxx094 tointegralx '-1.23E+384' -> '-1.23E+384'
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intxx095 tointegralx '-1.23E+999' -> '-1.23E+999'
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-- subnormal inputs
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intxx100 tointegralx 1E-999 -> 0 Inexact Rounded
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intxx101 tointegralx 0.1E-999 -> 0 Inexact Rounded
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intxx102 tointegralx 0.01E-999 -> 0 Inexact Rounded
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intxx103 tointegralx 0E-999 -> 0
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-- specials and zeros
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intxx120 tointegralx 'Inf' -> Infinity
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intxx121 tointegralx '-Inf' -> -Infinity
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intxx122 tointegralx NaN -> NaN
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intxx123 tointegralx sNaN -> NaN Invalid_operation
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intxx124 tointegralx 0 -> 0
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intxx125 tointegralx -0 -> -0
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intxx126 tointegralx 0.000 -> 0
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intxx127 tointegralx 0.00 -> 0
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intxx128 tointegralx 0.0 -> 0
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intxx129 tointegralx 0 -> 0
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intxx130 tointegralx 0E-3 -> 0
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intxx131 tointegralx 0E-2 -> 0
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intxx132 tointegralx 0E-1 -> 0
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intxx133 tointegralx 0E-0 -> 0
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intxx134 tointegralx 0E+1 -> 0E+1
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intxx135 tointegralx 0E+2 -> 0E+2
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intxx136 tointegralx 0E+3 -> 0E+3
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intxx137 tointegralx 0E+4 -> 0E+4
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intxx138 tointegralx 0E+5 -> 0E+5
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intxx139 tointegralx -0.000 -> -0
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intxx140 tointegralx -0.00 -> -0
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intxx141 tointegralx -0.0 -> -0
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intxx142 tointegralx -0 -> -0
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intxx143 tointegralx -0E-3 -> -0
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intxx144 tointegralx -0E-2 -> -0
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intxx145 tointegralx -0E-1 -> -0
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intxx146 tointegralx -0E-0 -> -0
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intxx147 tointegralx -0E+1 -> -0E+1
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intxx148 tointegralx -0E+2 -> -0E+2
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intxx149 tointegralx -0E+3 -> -0E+3
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intxx150 tointegralx -0E+4 -> -0E+4
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intxx151 tointegralx -0E+5 -> -0E+5
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-- propagating NaNs
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intxx152 tointegralx NaN808 -> NaN808
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intxx153 tointegralx sNaN080 -> NaN80 Invalid_operation
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intxx154 tointegralx -NaN808 -> -NaN808
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intxx155 tointegralx -sNaN080 -> -NaN80 Invalid_operation
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intxx156 tointegralx -NaN -> -NaN
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intxx157 tointegralx -sNaN -> -NaN Invalid_operation
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-- examples
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rounding: half_up
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precision: 9
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intxx200 tointegralx 2.1 -> 2 Inexact Rounded
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intxx201 tointegralx 100 -> 100
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intxx202 tointegralx 100.0 -> 100 Rounded
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intxx203 tointegralx 101.5 -> 102 Inexact Rounded
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intxx204 tointegralx -101.5 -> -102 Inexact Rounded
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intxx205 tointegralx 10E+5 -> 1.0E+6
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intxx206 tointegralx 7.89E+77 -> 7.89E+77
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intxx207 tointegralx -Inf -> -Infinity
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-- all rounding modes
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rounding: half_even
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intxx210 tointegralx 55.5 -> 56 Inexact Rounded
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intxx211 tointegralx 56.5 -> 56 Inexact Rounded
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intxx212 tointegralx 57.5 -> 58 Inexact Rounded
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intxx213 tointegralx -55.5 -> -56 Inexact Rounded
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intxx214 tointegralx -56.5 -> -56 Inexact Rounded
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intxx215 tointegralx -57.5 -> -58 Inexact Rounded
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rounding: half_up
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intxx220 tointegralx 55.5 -> 56 Inexact Rounded
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intxx221 tointegralx 56.5 -> 57 Inexact Rounded
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intxx222 tointegralx 57.5 -> 58 Inexact Rounded
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intxx223 tointegralx -55.5 -> -56 Inexact Rounded
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intxx224 tointegralx -56.5 -> -57 Inexact Rounded
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intxx225 tointegralx -57.5 -> -58 Inexact Rounded
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rounding: half_down
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intxx230 tointegralx 55.5 -> 55 Inexact Rounded
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intxx231 tointegralx 56.5 -> 56 Inexact Rounded
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intxx232 tointegralx 57.5 -> 57 Inexact Rounded
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intxx233 tointegralx -55.5 -> -55 Inexact Rounded
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intxx234 tointegralx -56.5 -> -56 Inexact Rounded
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intxx235 tointegralx -57.5 -> -57 Inexact Rounded
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rounding: up
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intxx240 tointegralx 55.3 -> 56 Inexact Rounded
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intxx241 tointegralx 56.3 -> 57 Inexact Rounded
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intxx242 tointegralx 57.3 -> 58 Inexact Rounded
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intxx243 tointegralx -55.3 -> -56 Inexact Rounded
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intxx244 tointegralx -56.3 -> -57 Inexact Rounded
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intxx245 tointegralx -57.3 -> -58 Inexact Rounded
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rounding: down
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intxx250 tointegralx 55.7 -> 55 Inexact Rounded
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intxx251 tointegralx 56.7 -> 56 Inexact Rounded
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intxx252 tointegralx 57.7 -> 57 Inexact Rounded
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intxx253 tointegralx -55.7 -> -55 Inexact Rounded
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intxx254 tointegralx -56.7 -> -56 Inexact Rounded
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intxx255 tointegralx -57.7 -> -57 Inexact Rounded
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rounding: ceiling
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intxx260 tointegralx 55.3 -> 56 Inexact Rounded
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intxx261 tointegralx 56.3 -> 57 Inexact Rounded
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intxx262 tointegralx 57.3 -> 58 Inexact Rounded
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intxx263 tointegralx -55.3 -> -55 Inexact Rounded
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intxx264 tointegralx -56.3 -> -56 Inexact Rounded
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intxx265 tointegralx -57.3 -> -57 Inexact Rounded
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rounding: floor
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intxx270 tointegralx 55.7 -> 55 Inexact Rounded
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intxx271 tointegralx 56.7 -> 56 Inexact Rounded
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intxx272 tointegralx 57.7 -> 57 Inexact Rounded
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intxx273 tointegralx -55.7 -> -56 Inexact Rounded
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intxx274 tointegralx -56.7 -> -57 Inexact Rounded
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intxx275 tointegralx -57.7 -> -58 Inexact Rounded
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-- Int and uInt32 edge values for testing conversions
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precision: 16
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intxx300 tointegralx -2147483646 -> -2147483646
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intxx301 tointegralx -2147483647 -> -2147483647
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intxx302 tointegralx -2147483648 -> -2147483648
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intxx303 tointegralx -2147483649 -> -2147483649
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intxx304 tointegralx 2147483646 -> 2147483646
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intxx305 tointegralx 2147483647 -> 2147483647
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intxx306 tointegralx 2147483648 -> 2147483648
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intxx307 tointegralx 2147483649 -> 2147483649
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intxx308 tointegralx 4294967294 -> 4294967294
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intxx309 tointegralx 4294967295 -> 4294967295
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intxx310 tointegralx 4294967296 -> 4294967296
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intxx311 tointegralx 4294967297 -> 4294967297
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