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✏️ tointegral.decTest
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------------------------------------------------------------------------ -- 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
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