1------------------------------------------------------------------------ 2-- tointegralx.decTest -- round decimal to integral value, exact -- 3-- Copyright (c) Mike Cowlishaw, 1981, 2010. All rights reserved. -- 4-- Parts copyright (c) IBM Corporation, 1981, 2008. -- 5------------------------------------------------------------------------ 6-- Please see the document "General Decimal Arithmetic Testcases" -- 7-- at http://speleotrove.com/decimal for the description of -- 8-- these testcases. -- 9-- -- 10-- These testcases are experimental ('beta' versions), and they -- 11-- may contain errors. They are offered on an as-is basis. In -- 12-- particular, achieving the same results as the tests here is not -- 13-- a guarantee that an implementation complies with any Standard -- 14-- or specification. The tests are not exhaustive. -- 15-- -- 16-- Please send comments, suggestions, and corrections to the author: -- 17-- Mike Cowlishaw, mfc@speleotrove.com -- 18------------------------------------------------------------------------ 19version: 2.62 20 21-- This set of tests tests the extended specification 'round-to-integral 22-- value' operation (from IEEE 854, later modified in 754r). 23-- All non-zero results are defined as being those from either copy or 24-- quantize, so those are assumed to have been tested. 25 26-- This tests toIntegraExact, which may set Inexact 27 28extended: 1 29precision: 9 30rounding: half_up 31maxExponent: 999 32minExponent: -999 33 34intxx001 tointegralx 0 -> 0 35intxx002 tointegralx 0.0 -> 0 36intxx003 tointegralx 0.1 -> 0 Inexact Rounded 37intxx004 tointegralx 0.2 -> 0 Inexact Rounded 38intxx005 tointegralx 0.3 -> 0 Inexact Rounded 39intxx006 tointegralx 0.4 -> 0 Inexact Rounded 40intxx007 tointegralx 0.5 -> 1 Inexact Rounded 41intxx008 tointegralx 0.6 -> 1 Inexact Rounded 42intxx009 tointegralx 0.7 -> 1 Inexact Rounded 43intxx010 tointegralx 0.8 -> 1 Inexact Rounded 44intxx011 tointegralx 0.9 -> 1 Inexact Rounded 45intxx012 tointegralx 1 -> 1 46intxx013 tointegralx 1.0 -> 1 Rounded 47intxx014 tointegralx 1.1 -> 1 Inexact Rounded 48intxx015 tointegralx 1.2 -> 1 Inexact Rounded 49intxx016 tointegralx 1.3 -> 1 Inexact Rounded 50intxx017 tointegralx 1.4 -> 1 Inexact Rounded 51intxx018 tointegralx 1.5 -> 2 Inexact Rounded 52intxx019 tointegralx 1.6 -> 2 Inexact Rounded 53intxx020 tointegralx 1.7 -> 2 Inexact Rounded 54intxx021 tointegralx 1.8 -> 2 Inexact Rounded 55intxx022 tointegralx 1.9 -> 2 Inexact Rounded 56-- negatives 57intxx031 tointegralx -0 -> -0 58intxx032 tointegralx -0.0 -> -0 59intxx033 tointegralx -0.1 -> -0 Inexact Rounded 60intxx034 tointegralx -0.2 -> -0 Inexact Rounded 61intxx035 tointegralx -0.3 -> -0 Inexact Rounded 62intxx036 tointegralx -0.4 -> -0 Inexact Rounded 63intxx037 tointegralx -0.5 -> -1 Inexact Rounded 64intxx038 tointegralx -0.6 -> -1 Inexact Rounded 65intxx039 tointegralx -0.7 -> -1 Inexact Rounded 66intxx040 tointegralx -0.8 -> -1 Inexact Rounded 67intxx041 tointegralx -0.9 -> -1 Inexact Rounded 68intxx042 tointegralx -1 -> -1 69intxx043 tointegralx -1.0 -> -1 Rounded 70intxx044 tointegralx -1.1 -> -1 Inexact Rounded 71intxx045 tointegralx -1.2 -> -1 Inexact Rounded 72intxx046 tointegralx -1.3 -> -1 Inexact Rounded 73intxx047 tointegralx -1.4 -> -1 Inexact Rounded 74intxx048 tointegralx -1.5 -> -2 Inexact Rounded 75intxx049 tointegralx -1.6 -> -2 Inexact Rounded 76intxx050 tointegralx -1.7 -> -2 Inexact Rounded 77intxx051 tointegralx -1.8 -> -2 Inexact Rounded 78intxx052 tointegralx -1.9 -> -2 Inexact Rounded 79-- next two would be NaN using quantize(x, 0) 80intxx053 tointegralx 10E+30 -> 1.0E+31 81intxx054 tointegralx -10E+30 -> -1.0E+31 82 83-- numbers around precision 84precision: 9 85intxx060 tointegralx '56267E-10' -> '0' Inexact Rounded 86intxx061 tointegralx '56267E-5' -> '1' Inexact Rounded 87intxx062 tointegralx '56267E-2' -> '563' Inexact Rounded 88intxx063 tointegralx '56267E-1' -> '5627' Inexact Rounded 89intxx065 tointegralx '56267E-0' -> '56267' 90intxx066 tointegralx '56267E+0' -> '56267' 91intxx067 tointegralx '56267E+1' -> '5.6267E+5' 92intxx068 tointegralx '56267E+2' -> '5.6267E+6' 93intxx069 tointegralx '56267E+3' -> '5.6267E+7' 94intxx070 tointegralx '56267E+4' -> '5.6267E+8' 95intxx071 tointegralx '56267E+5' -> '5.6267E+9' 96intxx072 tointegralx '56267E+6' -> '5.6267E+10' 97intxx073 tointegralx '1.23E+96' -> '1.23E+96' 98intxx074 tointegralx '1.23E+384' -> '1.23E+384' 99intxx075 tointegralx '1.23E+999' -> '1.23E+999' 100 101intxx080 tointegralx '-56267E-10' -> '-0' Inexact Rounded 102intxx081 tointegralx '-56267E-5' -> '-1' Inexact Rounded 103intxx082 tointegralx '-56267E-2' -> '-563' Inexact Rounded 104intxx083 tointegralx '-56267E-1' -> '-5627' Inexact Rounded 105intxx085 tointegralx '-56267E-0' -> '-56267' 106intxx086 tointegralx '-56267E+0' -> '-56267' 107intxx087 tointegralx '-56267E+1' -> '-5.6267E+5' 108intxx088 tointegralx '-56267E+2' -> '-5.6267E+6' 109intxx089 tointegralx '-56267E+3' -> '-5.6267E+7' 110intxx090 tointegralx '-56267E+4' -> '-5.6267E+8' 111intxx091 tointegralx '-56267E+5' -> '-5.6267E+9' 112intxx092 tointegralx '-56267E+6' -> '-5.6267E+10' 113intxx093 tointegralx '-1.23E+96' -> '-1.23E+96' 114intxx094 tointegralx '-1.23E+384' -> '-1.23E+384' 115intxx095 tointegralx '-1.23E+999' -> '-1.23E+999' 116 117-- subnormal inputs 118intxx100 tointegralx 1E-999 -> 0 Inexact Rounded 119intxx101 tointegralx 0.1E-999 -> 0 Inexact Rounded 120intxx102 tointegralx 0.01E-999 -> 0 Inexact Rounded 121intxx103 tointegralx 0E-999 -> 0 122 123-- specials and zeros 124intxx120 tointegralx 'Inf' -> Infinity 125intxx121 tointegralx '-Inf' -> -Infinity 126intxx122 tointegralx NaN -> NaN 127intxx123 tointegralx sNaN -> NaN Invalid_operation 128intxx124 tointegralx 0 -> 0 129intxx125 tointegralx -0 -> -0 130intxx126 tointegralx 0.000 -> 0 131intxx127 tointegralx 0.00 -> 0 132intxx128 tointegralx 0.0 -> 0 133intxx129 tointegralx 0 -> 0 134intxx130 tointegralx 0E-3 -> 0 135intxx131 tointegralx 0E-2 -> 0 136intxx132 tointegralx 0E-1 -> 0 137intxx133 tointegralx 0E-0 -> 0 138intxx134 tointegralx 0E+1 -> 0E+1 139intxx135 tointegralx 0E+2 -> 0E+2 140intxx136 tointegralx 0E+3 -> 0E+3 141intxx137 tointegralx 0E+4 -> 0E+4 142intxx138 tointegralx 0E+5 -> 0E+5 143intxx139 tointegralx -0.000 -> -0 144intxx140 tointegralx -0.00 -> -0 145intxx141 tointegralx -0.0 -> -0 146intxx142 tointegralx -0 -> -0 147intxx143 tointegralx -0E-3 -> -0 148intxx144 tointegralx -0E-2 -> -0 149intxx145 tointegralx -0E-1 -> -0 150intxx146 tointegralx -0E-0 -> -0 151intxx147 tointegralx -0E+1 -> -0E+1 152intxx148 tointegralx -0E+2 -> -0E+2 153intxx149 tointegralx -0E+3 -> -0E+3 154intxx150 tointegralx -0E+4 -> -0E+4 155intxx151 tointegralx -0E+5 -> -0E+5 156-- propagating NaNs 157intxx152 tointegralx NaN808 -> NaN808 158intxx153 tointegralx sNaN080 -> NaN80 Invalid_operation 159intxx154 tointegralx -NaN808 -> -NaN808 160intxx155 tointegralx -sNaN080 -> -NaN80 Invalid_operation 161intxx156 tointegralx -NaN -> -NaN 162intxx157 tointegralx -sNaN -> -NaN Invalid_operation 163 164-- examples 165rounding: half_up 166precision: 9 167intxx200 tointegralx 2.1 -> 2 Inexact Rounded 168intxx201 tointegralx 100 -> 100 169intxx202 tointegralx 100.0 -> 100 Rounded 170intxx203 tointegralx 101.5 -> 102 Inexact Rounded 171intxx204 tointegralx -101.5 -> -102 Inexact Rounded 172intxx205 tointegralx 10E+5 -> 1.0E+6 173intxx206 tointegralx 7.89E+77 -> 7.89E+77 174intxx207 tointegralx -Inf -> -Infinity 175 176 177-- all rounding modes 178rounding: half_even 179 180intxx210 tointegralx 55.5 -> 56 Inexact Rounded 181intxx211 tointegralx 56.5 -> 56 Inexact Rounded 182intxx212 tointegralx 57.5 -> 58 Inexact Rounded 183intxx213 tointegralx -55.5 -> -56 Inexact Rounded 184intxx214 tointegralx -56.5 -> -56 Inexact Rounded 185intxx215 tointegralx -57.5 -> -58 Inexact Rounded 186 187rounding: half_up 188 189intxx220 tointegralx 55.5 -> 56 Inexact Rounded 190intxx221 tointegralx 56.5 -> 57 Inexact Rounded 191intxx222 tointegralx 57.5 -> 58 Inexact Rounded 192intxx223 tointegralx -55.5 -> -56 Inexact Rounded 193intxx224 tointegralx -56.5 -> -57 Inexact Rounded 194intxx225 tointegralx -57.5 -> -58 Inexact Rounded 195 196rounding: half_down 197 198intxx230 tointegralx 55.5 -> 55 Inexact Rounded 199intxx231 tointegralx 56.5 -> 56 Inexact Rounded 200intxx232 tointegralx 57.5 -> 57 Inexact Rounded 201intxx233 tointegralx -55.5 -> -55 Inexact Rounded 202intxx234 tointegralx -56.5 -> -56 Inexact Rounded 203intxx235 tointegralx -57.5 -> -57 Inexact Rounded 204 205rounding: up 206 207intxx240 tointegralx 55.3 -> 56 Inexact Rounded 208intxx241 tointegralx 56.3 -> 57 Inexact Rounded 209intxx242 tointegralx 57.3 -> 58 Inexact Rounded 210intxx243 tointegralx -55.3 -> -56 Inexact Rounded 211intxx244 tointegralx -56.3 -> -57 Inexact Rounded 212intxx245 tointegralx -57.3 -> -58 Inexact Rounded 213 214rounding: down 215 216intxx250 tointegralx 55.7 -> 55 Inexact Rounded 217intxx251 tointegralx 56.7 -> 56 Inexact Rounded 218intxx252 tointegralx 57.7 -> 57 Inexact Rounded 219intxx253 tointegralx -55.7 -> -55 Inexact Rounded 220intxx254 tointegralx -56.7 -> -56 Inexact Rounded 221intxx255 tointegralx -57.7 -> -57 Inexact Rounded 222 223rounding: ceiling 224 225intxx260 tointegralx 55.3 -> 56 Inexact Rounded 226intxx261 tointegralx 56.3 -> 57 Inexact Rounded 227intxx262 tointegralx 57.3 -> 58 Inexact Rounded 228intxx263 tointegralx -55.3 -> -55 Inexact Rounded 229intxx264 tointegralx -56.3 -> -56 Inexact Rounded 230intxx265 tointegralx -57.3 -> -57 Inexact Rounded 231 232rounding: floor 233 234intxx270 tointegralx 55.7 -> 55 Inexact Rounded 235intxx271 tointegralx 56.7 -> 56 Inexact Rounded 236intxx272 tointegralx 57.7 -> 57 Inexact Rounded 237intxx273 tointegralx -55.7 -> -56 Inexact Rounded 238intxx274 tointegralx -56.7 -> -57 Inexact Rounded 239intxx275 tointegralx -57.7 -> -58 Inexact Rounded 240 241-- Int and uInt32 edge values for testing conversions 242precision: 16 243intxx300 tointegralx -2147483646 -> -2147483646 244intxx301 tointegralx -2147483647 -> -2147483647 245intxx302 tointegralx -2147483648 -> -2147483648 246intxx303 tointegralx -2147483649 -> -2147483649 247intxx304 tointegralx 2147483646 -> 2147483646 248intxx305 tointegralx 2147483647 -> 2147483647 249intxx306 tointegralx 2147483648 -> 2147483648 250intxx307 tointegralx 2147483649 -> 2147483649 251intxx308 tointegralx 4294967294 -> 4294967294 252intxx309 tointegralx 4294967295 -> 4294967295 253intxx310 tointegralx 4294967296 -> 4294967296 254intxx311 tointegralx 4294967297 -> 4294967297 255