------------------------------------------------------------------------ | |
-- 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 |