------------------------------------------------------------------------ | |
-- tointegral.decTest -- round decimal to integral value -- | |
-- 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. | |
-- Note that 754r requires that Inexact not be set, and we similarly | |
-- assume Rounded is not set. | |
extended: 1 | |
precision: 9 | |
rounding: half_up | |
maxExponent: 999 | |
minExponent: -999 | |
intx001 tointegral 0 -> 0 | |
intx002 tointegral 0.0 -> 0 | |
intx003 tointegral 0.1 -> 0 | |
intx004 tointegral 0.2 -> 0 | |
intx005 tointegral 0.3 -> 0 | |
intx006 tointegral 0.4 -> 0 | |
intx007 tointegral 0.5 -> 1 | |
intx008 tointegral 0.6 -> 1 | |
intx009 tointegral 0.7 -> 1 | |
intx010 tointegral 0.8 -> 1 | |
intx011 tointegral 0.9 -> 1 | |
intx012 tointegral 1 -> 1 | |
intx013 tointegral 1.0 -> 1 | |
intx014 tointegral 1.1 -> 1 | |
intx015 tointegral 1.2 -> 1 | |
intx016 tointegral 1.3 -> 1 | |
intx017 tointegral 1.4 -> 1 | |
intx018 tointegral 1.5 -> 2 | |
intx019 tointegral 1.6 -> 2 | |
intx020 tointegral 1.7 -> 2 | |
intx021 tointegral 1.8 -> 2 | |
intx022 tointegral 1.9 -> 2 | |
-- negatives | |
intx031 tointegral -0 -> -0 | |
intx032 tointegral -0.0 -> -0 | |
intx033 tointegral -0.1 -> -0 | |
intx034 tointegral -0.2 -> -0 | |
intx035 tointegral -0.3 -> -0 | |
intx036 tointegral -0.4 -> -0 | |
intx037 tointegral -0.5 -> -1 | |
intx038 tointegral -0.6 -> -1 | |
intx039 tointegral -0.7 -> -1 | |
intx040 tointegral -0.8 -> -1 | |
intx041 tointegral -0.9 -> -1 | |
intx042 tointegral -1 -> -1 | |
intx043 tointegral -1.0 -> -1 | |
intx044 tointegral -1.1 -> -1 | |
intx045 tointegral -1.2 -> -1 | |
intx046 tointegral -1.3 -> -1 | |
intx047 tointegral -1.4 -> -1 | |
intx048 tointegral -1.5 -> -2 | |
intx049 tointegral -1.6 -> -2 | |
intx050 tointegral -1.7 -> -2 | |
intx051 tointegral -1.8 -> -2 | |
intx052 tointegral -1.9 -> -2 | |
-- next two would be NaN using quantize(x, 0) | |
intx053 tointegral 10E+30 -> 1.0E+31 | |
intx054 tointegral -10E+30 -> -1.0E+31 | |
-- numbers around precision | |
precision: 9 | |
intx060 tointegral '56267E-10' -> '0' | |
intx061 tointegral '56267E-5' -> '1' | |
intx062 tointegral '56267E-2' -> '563' | |
intx063 tointegral '56267E-1' -> '5627' | |
intx065 tointegral '56267E-0' -> '56267' | |
intx066 tointegral '56267E+0' -> '56267' | |
intx067 tointegral '56267E+1' -> '5.6267E+5' | |
intx068 tointegral '56267E+2' -> '5.6267E+6' | |
intx069 tointegral '56267E+3' -> '5.6267E+7' | |
intx070 tointegral '56267E+4' -> '5.6267E+8' | |
intx071 tointegral '56267E+5' -> '5.6267E+9' | |
intx072 tointegral '56267E+6' -> '5.6267E+10' | |
intx073 tointegral '1.23E+96' -> '1.23E+96' | |
intx074 tointegral '1.23E+384' -> '1.23E+384' | |
intx075 tointegral '1.23E+999' -> '1.23E+999' | |
intx080 tointegral '-56267E-10' -> '-0' | |
intx081 tointegral '-56267E-5' -> '-1' | |
intx082 tointegral '-56267E-2' -> '-563' | |
intx083 tointegral '-56267E-1' -> '-5627' | |
intx085 tointegral '-56267E-0' -> '-56267' | |
intx086 tointegral '-56267E+0' -> '-56267' | |
intx087 tointegral '-56267E+1' -> '-5.6267E+5' | |
intx088 tointegral '-56267E+2' -> '-5.6267E+6' | |
intx089 tointegral '-56267E+3' -> '-5.6267E+7' | |
intx090 tointegral '-56267E+4' -> '-5.6267E+8' | |
intx091 tointegral '-56267E+5' -> '-5.6267E+9' | |
intx092 tointegral '-56267E+6' -> '-5.6267E+10' | |
intx093 tointegral '-1.23E+96' -> '-1.23E+96' | |
intx094 tointegral '-1.23E+384' -> '-1.23E+384' | |
intx095 tointegral '-1.23E+999' -> '-1.23E+999' | |
-- subnormal inputs | |
intx100 tointegral 1E-999 -> 0 | |
intx101 tointegral 0.1E-999 -> 0 | |
intx102 tointegral 0.01E-999 -> 0 | |
intx103 tointegral 0E-999 -> 0 | |
-- specials and zeros | |
intx120 tointegral 'Inf' -> Infinity | |
intx121 tointegral '-Inf' -> -Infinity | |
intx122 tointegral NaN -> NaN | |
intx123 tointegral sNaN -> NaN Invalid_operation | |
intx124 tointegral 0 -> 0 | |
intx125 tointegral -0 -> -0 | |
intx126 tointegral 0.000 -> 0 | |
intx127 tointegral 0.00 -> 0 | |
intx128 tointegral 0.0 -> 0 | |
intx129 tointegral 0 -> 0 | |
intx130 tointegral 0E-3 -> 0 | |
intx131 tointegral 0E-2 -> 0 | |
intx132 tointegral 0E-1 -> 0 | |
intx133 tointegral 0E-0 -> 0 | |
intx134 tointegral 0E+1 -> 0E+1 | |
intx135 tointegral 0E+2 -> 0E+2 | |
intx136 tointegral 0E+3 -> 0E+3 | |
intx137 tointegral 0E+4 -> 0E+4 | |
intx138 tointegral 0E+5 -> 0E+5 | |
intx139 tointegral -0.000 -> -0 | |
intx140 tointegral -0.00 -> -0 | |
intx141 tointegral -0.0 -> -0 | |
intx142 tointegral -0 -> -0 | |
intx143 tointegral -0E-3 -> -0 | |
intx144 tointegral -0E-2 -> -0 | |
intx145 tointegral -0E-1 -> -0 | |
intx146 tointegral -0E-0 -> -0 | |
intx147 tointegral -0E+1 -> -0E+1 | |
intx148 tointegral -0E+2 -> -0E+2 | |
intx149 tointegral -0E+3 -> -0E+3 | |
intx150 tointegral -0E+4 -> -0E+4 | |
intx151 tointegral -0E+5 -> -0E+5 | |
-- propagating NaNs | |
intx152 tointegral NaN808 -> NaN808 | |
intx153 tointegral sNaN080 -> NaN80 Invalid_operation | |
intx154 tointegral -NaN808 -> -NaN808 | |
intx155 tointegral -sNaN080 -> -NaN80 Invalid_operation | |
intx156 tointegral -NaN -> -NaN | |
intx157 tointegral -sNaN -> -NaN Invalid_operation | |
-- examples | |
rounding: half_up | |
precision: 9 | |
intx200 tointegral 2.1 -> 2 | |
intx201 tointegral 100 -> 100 | |
intx202 tointegral 100.0 -> 100 | |
intx203 tointegral 101.5 -> 102 | |
intx204 tointegral -101.5 -> -102 | |
intx205 tointegral 10E+5 -> 1.0E+6 | |
intx206 tointegral 7.89E+77 -> 7.89E+77 | |
intx207 tointegral -Inf -> -Infinity | |
-- all rounding modes | |
rounding: half_even | |
intx210 tointegral 55.5 -> 56 | |
intx211 tointegral 56.5 -> 56 | |
intx212 tointegral 57.5 -> 58 | |
intx213 tointegral -55.5 -> -56 | |
intx214 tointegral -56.5 -> -56 | |
intx215 tointegral -57.5 -> -58 | |
rounding: half_up | |
intx220 tointegral 55.5 -> 56 | |
intx221 tointegral 56.5 -> 57 | |
intx222 tointegral 57.5 -> 58 | |
intx223 tointegral -55.5 -> -56 | |
intx224 tointegral -56.5 -> -57 | |
intx225 tointegral -57.5 -> -58 | |
rounding: half_down | |
intx230 tointegral 55.5 -> 55 | |
intx231 tointegral 56.5 -> 56 | |
intx232 tointegral 57.5 -> 57 | |
intx233 tointegral -55.5 -> -55 | |
intx234 tointegral -56.5 -> -56 | |
intx235 tointegral -57.5 -> -57 | |
rounding: up | |
intx240 tointegral 55.3 -> 56 | |
intx241 tointegral 56.3 -> 57 | |
intx242 tointegral 57.3 -> 58 | |
intx243 tointegral -55.3 -> -56 | |
intx244 tointegral -56.3 -> -57 | |
intx245 tointegral -57.3 -> -58 | |
rounding: down | |
intx250 tointegral 55.7 -> 55 | |
intx251 tointegral 56.7 -> 56 | |
intx252 tointegral 57.7 -> 57 | |
intx253 tointegral -55.7 -> -55 | |
intx254 tointegral -56.7 -> -56 | |
intx255 tointegral -57.7 -> -57 | |
rounding: ceiling | |
intx260 tointegral 55.3 -> 56 | |
intx261 tointegral 56.3 -> 57 | |
intx262 tointegral 57.3 -> 58 | |
intx263 tointegral -55.3 -> -55 | |
intx264 tointegral -56.3 -> -56 | |
intx265 tointegral -57.3 -> -57 | |
rounding: floor | |
intx270 tointegral 55.7 -> 55 | |
intx271 tointegral 56.7 -> 56 | |
intx272 tointegral 57.7 -> 57 | |
intx273 tointegral -55.7 -> -56 | |
intx274 tointegral -56.7 -> -57 | |
intx275 tointegral -57.7 -> -58 | |