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