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cpython/Lib/test/decimaltestdata/ddToIntegral.decTest

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Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
------------------------------------------------------------------------
-- ddToIntegral.decTest -- round Double to integral value --
-- Copyright (c) IBM Corporation, 2001, 2007. 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: 2.56
-- 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