2011-03-05 10:06:13 -04:00
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------------------------------------------------------------------------
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-- ddToIntegral.decTest -- round Double to integral value --
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-- Copyright (c) IBM Corporation, 2001, 2008. All rights reserved. --
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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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version: 2.59
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-- This set of tests tests the extended specification 'round-to-integral
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-- value-exact' operations (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 extensively
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-- elsewhere; the tests here are for integrity, rounding mode, etc.
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-- Also, it is assumed the test harness will use these tests for both
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-- ToIntegralExact (which does set Inexact) and the fixed-name
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-- functions (which do not set Inexact).
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-- Note that decNumber implements an earlier definition of toIntegral
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-- which never sets Inexact; the decTest operator for that is called
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-- 'tointegral' instead of 'tointegralx'.
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precision: 16
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maxExponent: 384
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minExponent: -383
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extended: 1
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clamp: 1
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rounding: half_even
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ddintx001 tointegralx 0 -> 0
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ddintx002 tointegralx 0.0 -> 0
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ddintx003 tointegralx 0.1 -> 0 Inexact Rounded
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ddintx004 tointegralx 0.2 -> 0 Inexact Rounded
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ddintx005 tointegralx 0.3 -> 0 Inexact Rounded
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ddintx006 tointegralx 0.4 -> 0 Inexact Rounded
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ddintx007 tointegralx 0.5 -> 0 Inexact Rounded
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ddintx008 tointegralx 0.6 -> 1 Inexact Rounded
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ddintx009 tointegralx 0.7 -> 1 Inexact Rounded
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ddintx010 tointegralx 0.8 -> 1 Inexact Rounded
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ddintx011 tointegralx 0.9 -> 1 Inexact Rounded
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ddintx012 tointegralx 1 -> 1
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ddintx013 tointegralx 1.0 -> 1 Rounded
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ddintx014 tointegralx 1.1 -> 1 Inexact Rounded
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ddintx015 tointegralx 1.2 -> 1 Inexact Rounded
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ddintx016 tointegralx 1.3 -> 1 Inexact Rounded
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ddintx017 tointegralx 1.4 -> 1 Inexact Rounded
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ddintx018 tointegralx 1.5 -> 2 Inexact Rounded
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ddintx019 tointegralx 1.6 -> 2 Inexact Rounded
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ddintx020 tointegralx 1.7 -> 2 Inexact Rounded
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ddintx021 tointegralx 1.8 -> 2 Inexact Rounded
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ddintx022 tointegralx 1.9 -> 2 Inexact Rounded
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-- negatives
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ddintx031 tointegralx -0 -> -0
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ddintx032 tointegralx -0.0 -> -0
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ddintx033 tointegralx -0.1 -> -0 Inexact Rounded
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ddintx034 tointegralx -0.2 -> -0 Inexact Rounded
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ddintx035 tointegralx -0.3 -> -0 Inexact Rounded
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ddintx036 tointegralx -0.4 -> -0 Inexact Rounded
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ddintx037 tointegralx -0.5 -> -0 Inexact Rounded
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ddintx038 tointegralx -0.6 -> -1 Inexact Rounded
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ddintx039 tointegralx -0.7 -> -1 Inexact Rounded
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ddintx040 tointegralx -0.8 -> -1 Inexact Rounded
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ddintx041 tointegralx -0.9 -> -1 Inexact Rounded
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ddintx042 tointegralx -1 -> -1
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ddintx043 tointegralx -1.0 -> -1 Rounded
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ddintx044 tointegralx -1.1 -> -1 Inexact Rounded
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ddintx045 tointegralx -1.2 -> -1 Inexact Rounded
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ddintx046 tointegralx -1.3 -> -1 Inexact Rounded
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ddintx047 tointegralx -1.4 -> -1 Inexact Rounded
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ddintx048 tointegralx -1.5 -> -2 Inexact Rounded
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ddintx049 tointegralx -1.6 -> -2 Inexact Rounded
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ddintx050 tointegralx -1.7 -> -2 Inexact Rounded
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ddintx051 tointegralx -1.8 -> -2 Inexact Rounded
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ddintx052 tointegralx -1.9 -> -2 Inexact Rounded
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-- next two would be NaN using quantize(x, 0)
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ddintx053 tointegralx 10E+60 -> 1.0E+61
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ddintx054 tointegralx -10E+60 -> -1.0E+61
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-- numbers around precision
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ddintx060 tointegralx '56267E-17' -> '0' Inexact Rounded
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ddintx061 tointegralx '56267E-5' -> '1' Inexact Rounded
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ddintx062 tointegralx '56267E-2' -> '563' Inexact Rounded
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ddintx063 tointegralx '56267E-1' -> '5627' Inexact Rounded
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ddintx065 tointegralx '56267E-0' -> '56267'
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ddintx066 tointegralx '56267E+0' -> '56267'
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ddintx067 tointegralx '56267E+1' -> '5.6267E+5'
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ddintx068 tointegralx '56267E+9' -> '5.6267E+13'
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ddintx069 tointegralx '56267E+10' -> '5.6267E+14'
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ddintx070 tointegralx '56267E+11' -> '5.6267E+15'
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ddintx071 tointegralx '56267E+12' -> '5.6267E+16'
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ddintx072 tointegralx '56267E+13' -> '5.6267E+17'
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ddintx073 tointegralx '1.23E+96' -> '1.23E+96'
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ddintx074 tointegralx '1.23E+384' -> #47fd300000000000 Clamped
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ddintx080 tointegralx '-56267E-10' -> '-0' Inexact Rounded
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ddintx081 tointegralx '-56267E-5' -> '-1' Inexact Rounded
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ddintx082 tointegralx '-56267E-2' -> '-563' Inexact Rounded
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ddintx083 tointegralx '-56267E-1' -> '-5627' Inexact Rounded
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ddintx085 tointegralx '-56267E-0' -> '-56267'
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ddintx086 tointegralx '-56267E+0' -> '-56267'
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ddintx087 tointegralx '-56267E+1' -> '-5.6267E+5'
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ddintx088 tointegralx '-56267E+9' -> '-5.6267E+13'
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ddintx089 tointegralx '-56267E+10' -> '-5.6267E+14'
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ddintx090 tointegralx '-56267E+11' -> '-5.6267E+15'
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ddintx091 tointegralx '-56267E+12' -> '-5.6267E+16'
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ddintx092 tointegralx '-56267E+13' -> '-5.6267E+17'
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ddintx093 tointegralx '-1.23E+96' -> '-1.23E+96'
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ddintx094 tointegralx '-1.23E+384' -> #c7fd300000000000 Clamped
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-- subnormal inputs
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ddintx100 tointegralx 1E-299 -> 0 Inexact Rounded
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ddintx101 tointegralx 0.1E-299 -> 0 Inexact Rounded
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ddintx102 tointegralx 0.01E-299 -> 0 Inexact Rounded
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ddintx103 tointegralx 0E-299 -> 0
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-- specials and zeros
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ddintx120 tointegralx 'Inf' -> Infinity
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ddintx121 tointegralx '-Inf' -> -Infinity
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ddintx122 tointegralx NaN -> NaN
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ddintx123 tointegralx sNaN -> NaN Invalid_operation
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ddintx124 tointegralx 0 -> 0
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ddintx125 tointegralx -0 -> -0
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ddintx126 tointegralx 0.000 -> 0
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ddintx127 tointegralx 0.00 -> 0
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ddintx128 tointegralx 0.0 -> 0
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ddintx129 tointegralx 0 -> 0
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ddintx130 tointegralx 0E-3 -> 0
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ddintx131 tointegralx 0E-2 -> 0
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ddintx132 tointegralx 0E-1 -> 0
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ddintx133 tointegralx 0E-0 -> 0
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ddintx134 tointegralx 0E+1 -> 0E+1
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ddintx135 tointegralx 0E+2 -> 0E+2
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ddintx136 tointegralx 0E+3 -> 0E+3
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ddintx137 tointegralx 0E+4 -> 0E+4
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ddintx138 tointegralx 0E+5 -> 0E+5
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ddintx139 tointegralx -0.000 -> -0
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ddintx140 tointegralx -0.00 -> -0
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ddintx141 tointegralx -0.0 -> -0
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ddintx142 tointegralx -0 -> -0
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ddintx143 tointegralx -0E-3 -> -0
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ddintx144 tointegralx -0E-2 -> -0
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ddintx145 tointegralx -0E-1 -> -0
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ddintx146 tointegralx -0E-0 -> -0
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ddintx147 tointegralx -0E+1 -> -0E+1
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ddintx148 tointegralx -0E+2 -> -0E+2
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ddintx149 tointegralx -0E+3 -> -0E+3
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ddintx150 tointegralx -0E+4 -> -0E+4
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ddintx151 tointegralx -0E+5 -> -0E+5
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-- propagating NaNs
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ddintx152 tointegralx NaN808 -> NaN808
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ddintx153 tointegralx sNaN080 -> NaN80 Invalid_operation
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ddintx154 tointegralx -NaN808 -> -NaN808
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ddintx155 tointegralx -sNaN080 -> -NaN80 Invalid_operation
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ddintx156 tointegralx -NaN -> -NaN
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ddintx157 tointegralx -sNaN -> -NaN Invalid_operation
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-- examples
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rounding: half_up
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ddintx200 tointegralx 2.1 -> 2 Inexact Rounded
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ddintx201 tointegralx 100 -> 100
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ddintx202 tointegralx 100.0 -> 100 Rounded
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ddintx203 tointegralx 101.5 -> 102 Inexact Rounded
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ddintx204 tointegralx -101.5 -> -102 Inexact Rounded
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ddintx205 tointegralx 10E+5 -> 1.0E+6
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ddintx206 tointegralx 7.89E+77 -> 7.89E+77
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ddintx207 tointegralx -Inf -> -Infinity
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-- all rounding modes
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rounding: half_even
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ddintx210 tointegralx 55.5 -> 56 Inexact Rounded
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ddintx211 tointegralx 56.5 -> 56 Inexact Rounded
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ddintx212 tointegralx 57.5 -> 58 Inexact Rounded
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ddintx213 tointegralx -55.5 -> -56 Inexact Rounded
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ddintx214 tointegralx -56.5 -> -56 Inexact Rounded
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ddintx215 tointegralx -57.5 -> -58 Inexact Rounded
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rounding: half_up
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ddintx220 tointegralx 55.5 -> 56 Inexact Rounded
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ddintx221 tointegralx 56.5 -> 57 Inexact Rounded
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ddintx222 tointegralx 57.5 -> 58 Inexact Rounded
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ddintx223 tointegralx -55.5 -> -56 Inexact Rounded
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ddintx224 tointegralx -56.5 -> -57 Inexact Rounded
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ddintx225 tointegralx -57.5 -> -58 Inexact Rounded
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rounding: half_down
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ddintx230 tointegralx 55.5 -> 55 Inexact Rounded
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ddintx231 tointegralx 56.5 -> 56 Inexact Rounded
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ddintx232 tointegralx 57.5 -> 57 Inexact Rounded
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ddintx233 tointegralx -55.5 -> -55 Inexact Rounded
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ddintx234 tointegralx -56.5 -> -56 Inexact Rounded
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ddintx235 tointegralx -57.5 -> -57 Inexact Rounded
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rounding: up
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ddintx240 tointegralx 55.3 -> 56 Inexact Rounded
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ddintx241 tointegralx 56.3 -> 57 Inexact Rounded
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ddintx242 tointegralx 57.3 -> 58 Inexact Rounded
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ddintx243 tointegralx -55.3 -> -56 Inexact Rounded
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ddintx244 tointegralx -56.3 -> -57 Inexact Rounded
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ddintx245 tointegralx -57.3 -> -58 Inexact Rounded
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rounding: down
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ddintx250 tointegralx 55.7 -> 55 Inexact Rounded
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ddintx251 tointegralx 56.7 -> 56 Inexact Rounded
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ddintx252 tointegralx 57.7 -> 57 Inexact Rounded
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ddintx253 tointegralx -55.7 -> -55 Inexact Rounded
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ddintx254 tointegralx -56.7 -> -56 Inexact Rounded
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ddintx255 tointegralx -57.7 -> -57 Inexact Rounded
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rounding: ceiling
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ddintx260 tointegralx 55.3 -> 56 Inexact Rounded
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ddintx261 tointegralx 56.3 -> 57 Inexact Rounded
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ddintx262 tointegralx 57.3 -> 58 Inexact Rounded
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ddintx263 tointegralx -55.3 -> -55 Inexact Rounded
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ddintx264 tointegralx -56.3 -> -56 Inexact Rounded
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ddintx265 tointegralx -57.3 -> -57 Inexact Rounded
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rounding: floor
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ddintx270 tointegralx 55.7 -> 55 Inexact Rounded
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ddintx271 tointegralx 56.7 -> 56 Inexact Rounded
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ddintx272 tointegralx 57.7 -> 57 Inexact Rounded
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ddintx273 tointegralx -55.7 -> -56 Inexact Rounded
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ddintx274 tointegralx -56.7 -> -57 Inexact Rounded
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ddintx275 tointegralx -57.7 -> -58 Inexact Rounded
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-- Int and uInt32 edge values for testing conversions
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ddintx300 tointegralx -2147483646 -> -2147483646
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ddintx301 tointegralx -2147483647 -> -2147483647
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ddintx302 tointegralx -2147483648 -> -2147483648
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ddintx303 tointegralx -2147483649 -> -2147483649
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ddintx304 tointegralx 2147483646 -> 2147483646
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ddintx305 tointegralx 2147483647 -> 2147483647
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ddintx306 tointegralx 2147483648 -> 2147483648
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ddintx307 tointegralx 2147483649 -> 2147483649
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ddintx308 tointegralx 4294967294 -> 4294967294
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ddintx309 tointegralx 4294967295 -> 4294967295
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ddintx310 tointegralx 4294967296 -> 4294967296
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ddintx311 tointegralx 4294967297 -> 4294967297
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