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-------------------------------------------------------------------------
--- 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
-