xref: /third_party/python/Lib/test/decimaltestdata/tointegral.decTest

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