------------------------------------------------------------------------
-- normalize.decTest -- remove trailing zeros                         --
-- Copyright (c) IBM Corporation, 2003.  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: 2.39

extended:    1
precision:   9
rounding:    half_up
maxExponent: 999
minexponent: -999

nrmx001 normalize '1'      -> '1'
nrmx002 normalize '-1'     -> '-1'
nrmx003 normalize '1.00'   -> '1'
nrmx004 normalize '-1.00'  -> '-1'
nrmx005 normalize '0'      -> '0'
nrmx006 normalize '0.00'   -> '0'
nrmx007 normalize '00.0'   -> '0'
nrmx008 normalize '00.00'  -> '0'
nrmx009 normalize '00'     -> '0'
nrmx010 normalize '0E+1'   -> '0'
nrmx011 normalize '0E+5'   -> '0'

nrmx012 normalize '-2'     -> '-2'
nrmx013 normalize '2'      -> '2'
nrmx014 normalize '-2.00'  -> '-2'
nrmx015 normalize '2.00'   -> '2'
nrmx016 normalize '-0'     -> '-0'
nrmx017 normalize '-0.00'  -> '-0'
nrmx018 normalize '-00.0'  -> '-0'
nrmx019 normalize '-00.00' -> '-0'
nrmx020 normalize '-00'    -> '-0'
nrmx021 normalize '-0E+5'   -> '-0'
nrmx022 normalize '-0E+1'  -> '-0'

nrmx030 normalize '+0.1'            -> '0.1'
nrmx031 normalize '-0.1'            -> '-0.1'
nrmx032 normalize '+0.01'           -> '0.01'
nrmx033 normalize '-0.01'           -> '-0.01'
nrmx034 normalize '+0.001'          -> '0.001'
nrmx035 normalize '-0.001'          -> '-0.001'
nrmx036 normalize '+0.000001'       -> '0.000001'
nrmx037 normalize '-0.000001'       -> '-0.000001'
nrmx038 normalize '+0.000000000001' -> '1E-12'
nrmx039 normalize '-0.000000000001' -> '-1E-12'

nrmx041 normalize 1.1        -> 1.1
nrmx042 normalize 1.10       -> 1.1
nrmx043 normalize 1.100      -> 1.1
nrmx044 normalize 1.110      -> 1.11
nrmx045 normalize -1.1       -> -1.1
nrmx046 normalize -1.10      -> -1.1
nrmx047 normalize -1.100     -> -1.1
nrmx048 normalize -1.110     -> -1.11
nrmx049 normalize 9.9        -> 9.9
nrmx050 normalize 9.90       -> 9.9
nrmx051 normalize 9.900      -> 9.9
nrmx052 normalize 9.990      -> 9.99
nrmx053 normalize -9.9       -> -9.9
nrmx054 normalize -9.90      -> -9.9
nrmx055 normalize -9.900     -> -9.9
nrmx056 normalize -9.990     -> -9.99

-- some trailing fractional zeros with zeros in units
nrmx060 normalize  10.0        -> 1E+1
nrmx061 normalize  10.00       -> 1E+1
nrmx062 normalize  100.0       -> 1E+2
nrmx063 normalize  100.00      -> 1E+2
nrmx064 normalize  1.1000E+3   -> 1.1E+3
nrmx065 normalize  1.10000E+3  -> 1.1E+3
nrmx066 normalize -10.0        -> -1E+1
nrmx067 normalize -10.00       -> -1E+1
nrmx068 normalize -100.0       -> -1E+2
nrmx069 normalize -100.00      -> -1E+2
nrmx070 normalize -1.1000E+3   -> -1.1E+3
nrmx071 normalize -1.10000E+3  -> -1.1E+3

-- some insignificant trailing zeros with positive exponent
nrmx080 normalize  10E+1       -> 1E+2
nrmx081 normalize  100E+1      -> 1E+3
nrmx082 normalize  1.0E+2      -> 1E+2
nrmx083 normalize  1.0E+3      -> 1E+3
nrmx084 normalize  1.1E+3      -> 1.1E+3
nrmx085 normalize  1.00E+3     -> 1E+3
nrmx086 normalize  1.10E+3     -> 1.1E+3
nrmx087 normalize -10E+1       -> -1E+2
nrmx088 normalize -100E+1      -> -1E+3
nrmx089 normalize -1.0E+2      -> -1E+2
nrmx090 normalize -1.0E+3      -> -1E+3
nrmx091 normalize -1.1E+3      -> -1.1E+3
nrmx092 normalize -1.00E+3     -> -1E+3
nrmx093 normalize -1.10E+3     -> -1.1E+3

-- some significant trailing zeros, were we to be trimming
nrmx100 normalize  11          -> 11
nrmx101 normalize  10          -> 1E+1
nrmx102 normalize  10.         -> 1E+1
nrmx103 normalize  1.1E+1      -> 11
nrmx104 normalize  1.0E+1      -> 1E+1
nrmx105 normalize  1.10E+2     -> 1.1E+2
nrmx106 normalize  1.00E+2     -> 1E+2
nrmx107 normalize  1.100E+3    -> 1.1E+3
nrmx108 normalize  1.000E+3    -> 1E+3
nrmx109 normalize  1.000000E+6 -> 1E+6
nrmx110 normalize -11          -> -11
nrmx111 normalize -10          -> -1E+1
nrmx112 normalize -10.         -> -1E+1
nrmx113 normalize -1.1E+1      -> -11
nrmx114 normalize -1.0E+1      -> -1E+1
nrmx115 normalize -1.10E+2     -> -1.1E+2
nrmx116 normalize -1.00E+2     -> -1E+2
nrmx117 normalize -1.100E+3    -> -1.1E+3
nrmx118 normalize -1.000E+3    -> -1E+3
nrmx119 normalize -1.00000E+5  -> -1E+5
nrmx120 normalize -1.000000E+6 -> -1E+6
nrmx121 normalize -10.00000E+6 -> -1E+7
nrmx122 normalize -100.0000E+6 -> -1E+8
nrmx123 normalize -1000.000E+6 -> -1E+9
nrmx124 normalize -10000.00E+6 -> -1E+10
nrmx125 normalize -100000.0E+6 -> -1E+11
nrmx126 normalize -1000000.E+6 -> -1E+12

-- examples from decArith
nrmx140 normalize '2.1'     ->  '2.1'
nrmx141 normalize '-2.0'    ->  '-2'
nrmx142 normalize '1.200'   ->  '1.2'
nrmx143 normalize '-120'    ->  '-1.2E+2'
nrmx144 normalize '120.00'  ->  '1.2E+2'
nrmx145 normalize '0.00'    ->  '0'

-- overflow tests
maxexponent: 999999999
minexponent: -999999999
precision: 3
nrmx160 normalize 9.999E+999999999  ->  Infinity Inexact Overflow Rounded
nrmx161 normalize -9.999E+999999999 -> -Infinity Inexact Overflow Rounded

-- subnormals and underflow
precision: 3
maxexponent: 999
minexponent: -999
nrmx210 normalize  1.00E-999        ->   1E-999
nrmx211 normalize  0.1E-999         ->   1E-1000   Subnormal
nrmx212 normalize  0.10E-999        ->   1E-1000   Subnormal
nrmx213 normalize  0.100E-999       ->   1E-1000   Subnormal Rounded
nrmx214 normalize  0.01E-999        ->   1E-1001   Subnormal
-- next is rounded to Emin
nrmx215 normalize  0.999E-999       ->   1E-999    Inexact Rounded Subnormal Underflow
nrmx216 normalize  0.099E-999       ->   1E-1000   Inexact Rounded Subnormal Underflow
nrmx217 normalize  0.009E-999       ->   1E-1001   Inexact Rounded Subnormal Underflow
nrmx218 normalize  0.001E-999       ->   0         Inexact Rounded Subnormal Underflow
nrmx219 normalize  0.0009E-999      ->   0         Inexact Rounded Subnormal Underflow
nrmx220 normalize  0.0001E-999      ->   0         Inexact Rounded Subnormal Underflow

nrmx230 normalize -1.00E-999        ->  -1E-999
nrmx231 normalize -0.1E-999         ->  -1E-1000   Subnormal
nrmx232 normalize -0.10E-999        ->  -1E-1000   Subnormal
nrmx233 normalize -0.100E-999       ->  -1E-1000   Subnormal Rounded
nrmx234 normalize -0.01E-999        ->  -1E-1001   Subnormal
-- next is rounded to Emin
nrmx235 normalize -0.999E-999       ->  -1E-999    Inexact Rounded Subnormal Underflow
nrmx236 normalize -0.099E-999       ->  -1E-1000   Inexact Rounded Subnormal Underflow
nrmx237 normalize -0.009E-999       ->  -1E-1001   Inexact Rounded Subnormal Underflow
nrmx238 normalize -0.001E-999       ->  -0         Inexact Rounded Subnormal Underflow
nrmx239 normalize -0.0009E-999      ->  -0         Inexact Rounded Subnormal Underflow
nrmx240 normalize -0.0001E-999      ->  -0         Inexact Rounded Subnormal Underflow

-- more reshaping
precision: 9
nrmx260 normalize '56260E-10'   -> '0.000005626'
nrmx261 normalize '56260E-5'    -> '0.5626'
nrmx262 normalize '56260E-2'    -> '562.6'
nrmx263 normalize '56260E-1'    -> '5626'
nrmx265 normalize '56260E-0'    -> '5.626E+4'
nrmx266 normalize '56260E+0'    -> '5.626E+4'
nrmx267 normalize '56260E+1'    -> '5.626E+5'
nrmx268 normalize '56260E+2'    -> '5.626E+6'
nrmx269 normalize '56260E+3'    -> '5.626E+7'
nrmx270 normalize '56260E+4'    -> '5.626E+8'
nrmx271 normalize '56260E+5'    -> '5.626E+9'
nrmx272 normalize '56260E+6'    -> '5.626E+10'
nrmx280 normalize '-56260E-10'  -> '-0.000005626'
nrmx281 normalize '-56260E-5'   -> '-0.5626'
nrmx282 normalize '-56260E-2'   -> '-562.6'
nrmx283 normalize '-56260E-1'   -> '-5626'
nrmx285 normalize '-56260E-0'   -> '-5.626E+4'
nrmx286 normalize '-56260E+0'   -> '-5.626E+4'
nrmx287 normalize '-56260E+1'   -> '-5.626E+5'
nrmx288 normalize '-56260E+2'   -> '-5.626E+6'
nrmx289 normalize '-56260E+3'   -> '-5.626E+7'
nrmx290 normalize '-56260E+4'   -> '-5.626E+8'
nrmx291 normalize '-56260E+5'   -> '-5.626E+9'
nrmx292 normalize '-56260E+6'   -> '-5.626E+10'


-- specials
nrmx820 normalize 'Inf'    -> 'Infinity'
nrmx821 normalize '-Inf'   -> '-Infinity'
nrmx822 normalize   NaN    ->  NaN
nrmx823 normalize  sNaN    ->  NaN    Invalid_operation
nrmx824 normalize   NaN101 ->  NaN101
nrmx825 normalize  sNaN010 ->  NaN10  Invalid_operation
nrmx827 normalize  -NaN    -> -NaN
nrmx828 normalize -sNaN    -> -NaN    Invalid_operation
nrmx829 normalize  -NaN101 -> -NaN101
nrmx830 normalize -sNaN010 -> -NaN10  Invalid_operation

-- Null test
nrmx900 normalize  # -> NaN Invalid_operation
