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

-- reduce.decTest -- remove trailing zeros                            --

-- Copyright (c) IBM Corporation, 2003, 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                                                   --

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

-- [This used to be called normalize.]

version: 2.58

extended:    1

precision:   9

rounding:    half_up

maxExponent: 999

minexponent: -999

redx001 reduce '1'      -> '1'

redx002 reduce '-1'     -> '-1'

redx003 reduce '1.00'   -> '1'

redx004 reduce '-1.00'  -> '-1'

redx005 reduce '0'      -> '0'

redx006 reduce '0.00'   -> '0'

redx007 reduce '00.0'   -> '0'

redx008 reduce '00.00'  -> '0'

redx009 reduce '00'     -> '0'

redx010 reduce '0E+1'   -> '0'

redx011 reduce '0E+5'   -> '0'

redx012 reduce '-2'     -> '-2'

redx013 reduce '2'      -> '2'

redx014 reduce '-2.00'  -> '-2'

redx015 reduce '2.00'   -> '2'

redx016 reduce '-0'     -> '-0'

redx017 reduce '-0.00'  -> '-0'

redx018 reduce '-00.0'  -> '-0'

redx019 reduce '-00.00' -> '-0'

redx020 reduce '-00'    -> '-0'

redx021 reduce '-0E+5'   -> '-0'

redx022 reduce '-0E+1'  -> '-0'

redx030 reduce '+0.1'            -> '0.1'

redx031 reduce '-0.1'            -> '-0.1'

redx032 reduce '+0.01'           -> '0.01'

redx033 reduce '-0.01'           -> '-0.01'

redx034 reduce '+0.001'          -> '0.001'

redx035 reduce '-0.001'          -> '-0.001'

redx036 reduce '+0.000001'       -> '0.000001'

redx037 reduce '-0.000001'       -> '-0.000001'

redx038 reduce '+0.000000000001' -> '1E-12'

redx039 reduce '-0.000000000001' -> '-1E-12'

redx041 reduce 1.1        -> 1.1

redx042 reduce 1.10       -> 1.1

redx043 reduce 1.100      -> 1.1

redx044 reduce 1.110      -> 1.11

redx045 reduce -1.1       -> -1.1

redx046 reduce -1.10      -> -1.1

redx047 reduce -1.100     -> -1.1

redx048 reduce -1.110     -> -1.11

redx049 reduce 9.9        -> 9.9

redx050 reduce 9.90       -> 9.9

redx051 reduce 9.900      -> 9.9

redx052 reduce 9.990      -> 9.99

redx053 reduce -9.9       -> -9.9

redx054 reduce -9.90      -> -9.9

redx055 reduce -9.900     -> -9.9

redx056 reduce -9.990     -> -9.99

-- some trailing fractional zeros with zeros in units

redx060 reduce  10.0        -> 1E+1

redx061 reduce  10.00       -> 1E+1

redx062 reduce  100.0       -> 1E+2

redx063 reduce  100.00      -> 1E+2

redx064 reduce  1.1000E+3   -> 1.1E+3

redx065 reduce  1.10000E+3  -> 1.1E+3

redx066 reduce -10.0        -> -1E+1

redx067 reduce -10.00       -> -1E+1

redx068 reduce -100.0       -> -1E+2

redx069 reduce -100.00      -> -1E+2

redx070 reduce -1.1000E+3   -> -1.1E+3

redx071 reduce -1.10000E+3  -> -1.1E+3

-- some insignificant trailing zeros with positive exponent

redx080 reduce  10E+1       -> 1E+2

redx081 reduce  100E+1      -> 1E+3

redx082 reduce  1.0E+2      -> 1E+2

redx083 reduce  1.0E+3      -> 1E+3

redx084 reduce  1.1E+3      -> 1.1E+3

redx085 reduce  1.00E+3     -> 1E+3

redx086 reduce  1.10E+3     -> 1.1E+3

redx087 reduce -10E+1       -> -1E+2

redx088 reduce -100E+1      -> -1E+3

redx089 reduce -1.0E+2      -> -1E+2

redx090 reduce -1.0E+3      -> -1E+3

redx091 reduce -1.1E+3      -> -1.1E+3

redx092 reduce -1.00E+3     -> -1E+3

redx093 reduce -1.10E+3     -> -1.1E+3

-- some significant trailing zeros, were we to be trimming

redx100 reduce  11          -> 11

redx101 reduce  10          -> 1E+1

redx102 reduce  10.         -> 1E+1

redx103 reduce  1.1E+1      -> 11

redx104 reduce  1.0E+1      -> 1E+1

redx105 reduce  1.10E+2     -> 1.1E+2

redx106 reduce  1.00E+2     -> 1E+2

redx107 reduce  1.100E+3    -> 1.1E+3

redx108 reduce  1.000E+3    -> 1E+3

redx109 reduce  1.000000E+6 -> 1E+6

redx110 reduce -11          -> -11

redx111 reduce -10          -> -1E+1

redx112 reduce -10.         -> -1E+1

redx113 reduce -1.1E+1      -> -11

redx114 reduce -1.0E+1      -> -1E+1

redx115 reduce -1.10E+2     -> -1.1E+2

redx116 reduce -1.00E+2     -> -1E+2

redx117 reduce -1.100E+3    -> -1.1E+3

redx118 reduce -1.000E+3    -> -1E+3

redx119 reduce -1.00000E+5  -> -1E+5

redx120 reduce -1.000000E+6 -> -1E+6

redx121 reduce -10.00000E+6 -> -1E+7

redx122 reduce -100.0000E+6 -> -1E+8

redx123 reduce -1000.000E+6 -> -1E+9

redx124 reduce -10000.00E+6 -> -1E+10

redx125 reduce -100000.0E+6 -> -1E+11

redx126 reduce -1000000.E+6 -> -1E+12

-- examples from decArith

redx140 reduce '2.1'     ->  '2.1'

redx141 reduce '-2.0'    ->  '-2'

redx142 reduce '1.200'   ->  '1.2'

redx143 reduce '-120'    ->  '-1.2E+2'

redx144 reduce '120.00'  ->  '1.2E+2'

redx145 reduce '0.00'    ->  '0'

-- overflow tests

maxexponent: 999999999

minexponent: -999999999

precision: 3

redx160 reduce 9.999E+999999999  ->  Infinity Inexact Overflow Rounded

redx161 reduce -9.999E+999999999 -> -Infinity Inexact Overflow Rounded

-- subnormals and underflow

precision: 3

maxexponent: 999

minexponent: -999

redx210 reduce  1.00E-999        ->   1E-999

redx211 reduce  0.1E-999         ->   1E-1000   Subnormal

redx212 reduce  0.10E-999        ->   1E-1000   Subnormal

redx213 reduce  0.100E-999       ->   1E-1000   Subnormal Rounded

redx214 reduce  0.01E-999        ->   1E-1001   Subnormal

-- next is rounded to Emin

redx215 reduce  0.999E-999       ->   1E-999    Inexact Rounded Subnormal Underflow

redx216 reduce  0.099E-999       ->   1E-1000   Inexact Rounded Subnormal Underflow

redx217 reduce  0.009E-999       ->   1E-1001   Inexact Rounded Subnormal Underflow

redx218 reduce  0.001E-999       ->   0         Inexact Rounded Subnormal Underflow Clamped

redx219 reduce  0.0009E-999      ->   0         Inexact Rounded Subnormal Underflow Clamped

redx220 reduce  0.0001E-999      ->   0         Inexact Rounded Subnormal Underflow Clamped

redx230 reduce -1.00E-999        ->  -1E-999

redx231 reduce -0.1E-999         ->  -1E-1000   Subnormal

redx232 reduce -0.10E-999        ->  -1E-1000   Subnormal

redx233 reduce -0.100E-999       ->  -1E-1000   Subnormal Rounded

redx234 reduce -0.01E-999        ->  -1E-1001   Subnormal

-- next is rounded to Emin

redx235 reduce -0.999E-999       ->  -1E-999    Inexact Rounded Subnormal Underflow

redx236 reduce -0.099E-999       ->  -1E-1000   Inexact Rounded Subnormal Underflow

redx237 reduce -0.009E-999       ->  -1E-1001   Inexact Rounded Subnormal Underflow

redx238 reduce -0.001E-999       ->  -0         Inexact Rounded Subnormal Underflow Clamped

redx239 reduce -0.0009E-999      ->  -0         Inexact Rounded Subnormal Underflow Clamped

redx240 reduce -0.0001E-999      ->  -0         Inexact Rounded Subnormal Underflow Clamped

-- more reshaping

precision: 9

redx260 reduce '56260E-10'   -> '0.000005626'

redx261 reduce '56260E-5'    -> '0.5626'

redx262 reduce '56260E-2'    -> '562.6'

redx263 reduce '56260E-1'    -> '5626'

redx265 reduce '56260E-0'    -> '5.626E+4'

redx266 reduce '56260E+0'    -> '5.626E+4'

redx267 reduce '56260E+1'    -> '5.626E+5'

redx268 reduce '56260E+2'    -> '5.626E+6'

redx269 reduce '56260E+3'    -> '5.626E+7'

redx270 reduce '56260E+4'    -> '5.626E+8'

redx271 reduce '56260E+5'    -> '5.626E+9'

redx272 reduce '56260E+6'    -> '5.626E+10'

redx280 reduce '-56260E-10'  -> '-0.000005626'

redx281 reduce '-56260E-5'   -> '-0.5626'

redx282 reduce '-56260E-2'   -> '-562.6'

redx283 reduce '-56260E-1'   -> '-5626'

redx285 reduce '-56260E-0'   -> '-5.626E+4'

redx286 reduce '-56260E+0'   -> '-5.626E+4'

redx287 reduce '-56260E+1'   -> '-5.626E+5'

redx288 reduce '-56260E+2'   -> '-5.626E+6'

redx289 reduce '-56260E+3'   -> '-5.626E+7'

redx290 reduce '-56260E+4'   -> '-5.626E+8'

redx291 reduce '-56260E+5'   -> '-5.626E+9'

redx292 reduce '-56260E+6'   -> '-5.626E+10'

-- FL test

precision: 40

redx295 reduce 9892345673.0123456780000000000 -> 9892345673.012345678

-- specials

redx820 reduce 'Inf'    -> 'Infinity'

redx821 reduce '-Inf'   -> '-Infinity'

redx822 reduce   NaN    ->  NaN

redx823 reduce  sNaN    ->  NaN    Invalid_operation

redx824 reduce   NaN101 ->  NaN101

redx825 reduce  sNaN010 ->  NaN10  Invalid_operation

redx827 reduce  -NaN    -> -NaN

redx828 reduce -sNaN    -> -NaN    Invalid_operation

redx829 reduce  -NaN101 -> -NaN101

redx830 reduce -sNaN010 -> -NaN10  Invalid_operation

-- payload decapitate

precision: 5

redx62100 reduce  sNaN1234567890 -> NaN67890  Invalid_operation

-- Null test

redx900 reduce  # -> NaN Invalid_operation