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