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

-- 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: 2.58

-- 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