1------------------------------------------------------------------------ 2-- reduce.decTest -- remove trailing zeros -- 3-- Copyright (c) IBM Corporation, 2003, 2008. All rights reserved. -- 4------------------------------------------------------------------------ 5-- Please see the document "General Decimal Arithmetic Testcases" -- 6-- at http://www2.hursley.ibm.com/decimal for the description of -- 7-- these testcases. -- 8-- -- 9-- These testcases are experimental ('beta' versions), and they -- 10-- may contain errors. They are offered on an as-is basis. In -- 11-- particular, achieving the same results as the tests here is not -- 12-- a guarantee that an implementation complies with any Standard -- 13-- or specification. The tests are not exhaustive. -- 14-- -- 15-- Please send comments, suggestions, and corrections to the author: -- 16-- Mike Cowlishaw, IBM Fellow -- 17-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- 18-- mfc@uk.ibm.com -- 19------------------------------------------------------------------------ 20-- [This used to be called normalize.] 21 22version: 2.59 23 24extended: 1 25precision: 9 26rounding: half_up 27maxExponent: 999 28minexponent: -999 29 30redx001 reduce '1' -> '1' 31redx002 reduce '-1' -> '-1' 32redx003 reduce '1.00' -> '1' 33redx004 reduce '-1.00' -> '-1' 34redx005 reduce '0' -> '0' 35redx006 reduce '0.00' -> '0' 36redx007 reduce '00.0' -> '0' 37redx008 reduce '00.00' -> '0' 38redx009 reduce '00' -> '0' 39redx010 reduce '0E+1' -> '0' 40redx011 reduce '0E+5' -> '0' 41 42redx012 reduce '-2' -> '-2' 43redx013 reduce '2' -> '2' 44redx014 reduce '-2.00' -> '-2' 45redx015 reduce '2.00' -> '2' 46redx016 reduce '-0' -> '-0' 47redx017 reduce '-0.00' -> '-0' 48redx018 reduce '-00.0' -> '-0' 49redx019 reduce '-00.00' -> '-0' 50redx020 reduce '-00' -> '-0' 51redx021 reduce '-0E+5' -> '-0' 52redx022 reduce '-0E+1' -> '-0' 53 54redx030 reduce '+0.1' -> '0.1' 55redx031 reduce '-0.1' -> '-0.1' 56redx032 reduce '+0.01' -> '0.01' 57redx033 reduce '-0.01' -> '-0.01' 58redx034 reduce '+0.001' -> '0.001' 59redx035 reduce '-0.001' -> '-0.001' 60redx036 reduce '+0.000001' -> '0.000001' 61redx037 reduce '-0.000001' -> '-0.000001' 62redx038 reduce '+0.000000000001' -> '1E-12' 63redx039 reduce '-0.000000000001' -> '-1E-12' 64 65redx041 reduce 1.1 -> 1.1 66redx042 reduce 1.10 -> 1.1 67redx043 reduce 1.100 -> 1.1 68redx044 reduce 1.110 -> 1.11 69redx045 reduce -1.1 -> -1.1 70redx046 reduce -1.10 -> -1.1 71redx047 reduce -1.100 -> -1.1 72redx048 reduce -1.110 -> -1.11 73redx049 reduce 9.9 -> 9.9 74redx050 reduce 9.90 -> 9.9 75redx051 reduce 9.900 -> 9.9 76redx052 reduce 9.990 -> 9.99 77redx053 reduce -9.9 -> -9.9 78redx054 reduce -9.90 -> -9.9 79redx055 reduce -9.900 -> -9.9 80redx056 reduce -9.990 -> -9.99 81 82-- some trailing fractional zeros with zeros in units 83redx060 reduce 10.0 -> 1E+1 84redx061 reduce 10.00 -> 1E+1 85redx062 reduce 100.0 -> 1E+2 86redx063 reduce 100.00 -> 1E+2 87redx064 reduce 1.1000E+3 -> 1.1E+3 88redx065 reduce 1.10000E+3 -> 1.1E+3 89redx066 reduce -10.0 -> -1E+1 90redx067 reduce -10.00 -> -1E+1 91redx068 reduce -100.0 -> -1E+2 92redx069 reduce -100.00 -> -1E+2 93redx070 reduce -1.1000E+3 -> -1.1E+3 94redx071 reduce -1.10000E+3 -> -1.1E+3 95 96-- some insignificant trailing zeros with positive exponent 97redx080 reduce 10E+1 -> 1E+2 98redx081 reduce 100E+1 -> 1E+3 99redx082 reduce 1.0E+2 -> 1E+2 100redx083 reduce 1.0E+3 -> 1E+3 101redx084 reduce 1.1E+3 -> 1.1E+3 102redx085 reduce 1.00E+3 -> 1E+3 103redx086 reduce 1.10E+3 -> 1.1E+3 104redx087 reduce -10E+1 -> -1E+2 105redx088 reduce -100E+1 -> -1E+3 106redx089 reduce -1.0E+2 -> -1E+2 107redx090 reduce -1.0E+3 -> -1E+3 108redx091 reduce -1.1E+3 -> -1.1E+3 109redx092 reduce -1.00E+3 -> -1E+3 110redx093 reduce -1.10E+3 -> -1.1E+3 111 112-- some significant trailing zeros, were we to be trimming 113redx100 reduce 11 -> 11 114redx101 reduce 10 -> 1E+1 115redx102 reduce 10. -> 1E+1 116redx103 reduce 1.1E+1 -> 11 117redx104 reduce 1.0E+1 -> 1E+1 118redx105 reduce 1.10E+2 -> 1.1E+2 119redx106 reduce 1.00E+2 -> 1E+2 120redx107 reduce 1.100E+3 -> 1.1E+3 121redx108 reduce 1.000E+3 -> 1E+3 122redx109 reduce 1.000000E+6 -> 1E+6 123redx110 reduce -11 -> -11 124redx111 reduce -10 -> -1E+1 125redx112 reduce -10. -> -1E+1 126redx113 reduce -1.1E+1 -> -11 127redx114 reduce -1.0E+1 -> -1E+1 128redx115 reduce -1.10E+2 -> -1.1E+2 129redx116 reduce -1.00E+2 -> -1E+2 130redx117 reduce -1.100E+3 -> -1.1E+3 131redx118 reduce -1.000E+3 -> -1E+3 132redx119 reduce -1.00000E+5 -> -1E+5 133redx120 reduce -1.000000E+6 -> -1E+6 134redx121 reduce -10.00000E+6 -> -1E+7 135redx122 reduce -100.0000E+6 -> -1E+8 136redx123 reduce -1000.000E+6 -> -1E+9 137redx124 reduce -10000.00E+6 -> -1E+10 138redx125 reduce -100000.0E+6 -> -1E+11 139redx126 reduce -1000000.E+6 -> -1E+12 140 141-- examples from decArith 142redx140 reduce '2.1' -> '2.1' 143redx141 reduce '-2.0' -> '-2' 144redx142 reduce '1.200' -> '1.2' 145redx143 reduce '-120' -> '-1.2E+2' 146redx144 reduce '120.00' -> '1.2E+2' 147redx145 reduce '0.00' -> '0' 148 149-- overflow tests 150maxexponent: 999999999 151minexponent: -999999999 152precision: 3 153redx160 reduce 9.999E+999999999 -> Infinity Inexact Overflow Rounded 154redx161 reduce -9.999E+999999999 -> -Infinity Inexact Overflow Rounded 155 156-- subnormals and underflow 157precision: 3 158maxexponent: 999 159minexponent: -999 160redx210 reduce 1.00E-999 -> 1E-999 161redx211 reduce 0.1E-999 -> 1E-1000 Subnormal 162redx212 reduce 0.10E-999 -> 1E-1000 Subnormal 163redx213 reduce 0.100E-999 -> 1E-1000 Subnormal Rounded 164redx214 reduce 0.01E-999 -> 1E-1001 Subnormal 165-- next is rounded to Emin 166redx215 reduce 0.999E-999 -> 1E-999 Inexact Rounded Subnormal Underflow 167redx216 reduce 0.099E-999 -> 1E-1000 Inexact Rounded Subnormal Underflow 168redx217 reduce 0.009E-999 -> 1E-1001 Inexact Rounded Subnormal Underflow 169redx218 reduce 0.001E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped 170redx219 reduce 0.0009E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped 171redx220 reduce 0.0001E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped 172 173redx230 reduce -1.00E-999 -> -1E-999 174redx231 reduce -0.1E-999 -> -1E-1000 Subnormal 175redx232 reduce -0.10E-999 -> -1E-1000 Subnormal 176redx233 reduce -0.100E-999 -> -1E-1000 Subnormal Rounded 177redx234 reduce -0.01E-999 -> -1E-1001 Subnormal 178-- next is rounded to Emin 179redx235 reduce -0.999E-999 -> -1E-999 Inexact Rounded Subnormal Underflow 180redx236 reduce -0.099E-999 -> -1E-1000 Inexact Rounded Subnormal Underflow 181redx237 reduce -0.009E-999 -> -1E-1001 Inexact Rounded Subnormal Underflow 182redx238 reduce -0.001E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped 183redx239 reduce -0.0009E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped 184redx240 reduce -0.0001E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped 185 186-- more reshaping 187precision: 9 188redx260 reduce '56260E-10' -> '0.000005626' 189redx261 reduce '56260E-5' -> '0.5626' 190redx262 reduce '56260E-2' -> '562.6' 191redx263 reduce '56260E-1' -> '5626' 192redx265 reduce '56260E-0' -> '5.626E+4' 193redx266 reduce '56260E+0' -> '5.626E+4' 194redx267 reduce '56260E+1' -> '5.626E+5' 195redx268 reduce '56260E+2' -> '5.626E+6' 196redx269 reduce '56260E+3' -> '5.626E+7' 197redx270 reduce '56260E+4' -> '5.626E+8' 198redx271 reduce '56260E+5' -> '5.626E+9' 199redx272 reduce '56260E+6' -> '5.626E+10' 200redx280 reduce '-56260E-10' -> '-0.000005626' 201redx281 reduce '-56260E-5' -> '-0.5626' 202redx282 reduce '-56260E-2' -> '-562.6' 203redx283 reduce '-56260E-1' -> '-5626' 204redx285 reduce '-56260E-0' -> '-5.626E+4' 205redx286 reduce '-56260E+0' -> '-5.626E+4' 206redx287 reduce '-56260E+1' -> '-5.626E+5' 207redx288 reduce '-56260E+2' -> '-5.626E+6' 208redx289 reduce '-56260E+3' -> '-5.626E+7' 209redx290 reduce '-56260E+4' -> '-5.626E+8' 210redx291 reduce '-56260E+5' -> '-5.626E+9' 211redx292 reduce '-56260E+6' -> '-5.626E+10' 212 213-- FL test 214precision: 40 215redx295 reduce 9892345673.0123456780000000000 -> 9892345673.012345678 216 217-- specials 218redx820 reduce 'Inf' -> 'Infinity' 219redx821 reduce '-Inf' -> '-Infinity' 220redx822 reduce NaN -> NaN 221redx823 reduce sNaN -> NaN Invalid_operation 222redx824 reduce NaN101 -> NaN101 223redx825 reduce sNaN010 -> NaN10 Invalid_operation 224redx827 reduce -NaN -> -NaN 225redx828 reduce -sNaN -> -NaN Invalid_operation 226redx829 reduce -NaN101 -> -NaN101 227redx830 reduce -sNaN010 -> -NaN10 Invalid_operation 228 229-- payload decapitate 230precision: 5 231redx62100 reduce sNaN1234567890 -> NaN67890 Invalid_operation 232 233-- Null test 234redx900 reduce # -> NaN Invalid_operation 235