| ------------------------------------------------------------------------ | 
 | -- 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: 2.59 | 
 |  | 
 | 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 |