------------------------------------------------------------------------
-- 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 --
-- [email protected] --
------------------------------------------------------------------------
-- [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
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