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1 | ------------------------------------------------------------------------\r |
| 2 | -- tointegralx.decTest -- round decimal to integral value, exact --\r |
| 3 | -- Copyright (c) IBM Corporation, 2001, 2008. All rights reserved. --\r |
| 4 | ------------------------------------------------------------------------\r |
| 5 | -- Please see the document "General Decimal Arithmetic Testcases" --\r |
| 6 | -- at http://www2.hursley.ibm.com/decimal for the description of --\r |
| 7 | -- these testcases. --\r |
| 8 | -- --\r |
| 9 | -- These testcases are experimental ('beta' versions), and they --\r |
| 10 | -- may contain errors. They are offered on an as-is basis. In --\r |
| 11 | -- particular, achieving the same results as the tests here is not --\r |
| 12 | -- a guarantee that an implementation complies with any Standard --\r |
| 13 | -- or specification. The tests are not exhaustive. --\r |
| 14 | -- --\r |
| 15 | -- Please send comments, suggestions, and corrections to the author: --\r |
| 16 | -- Mike Cowlishaw, IBM Fellow --\r |
| 17 | -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --\r |
| 18 | -- mfc@uk.ibm.com --\r |
| 19 | ------------------------------------------------------------------------\r |
| 20 | version: 2.59\r |
| 21 | \r |
| 22 | -- This set of tests tests the extended specification 'round-to-integral\r |
| 23 | -- value' operation (from IEEE 854, later modified in 754r).\r |
| 24 | -- All non-zero results are defined as being those from either copy or\r |
| 25 | -- quantize, so those are assumed to have been tested.\r |
| 26 | \r |
| 27 | -- This tests toIntegraExact, which may set Inexact\r |
| 28 | \r |
| 29 | extended: 1\r |
| 30 | precision: 9\r |
| 31 | rounding: half_up\r |
| 32 | maxExponent: 999\r |
| 33 | minExponent: -999\r |
| 34 | \r |
| 35 | intxx001 tointegralx 0 -> 0\r |
| 36 | intxx002 tointegralx 0.0 -> 0\r |
| 37 | intxx003 tointegralx 0.1 -> 0 Inexact Rounded\r |
| 38 | intxx004 tointegralx 0.2 -> 0 Inexact Rounded\r |
| 39 | intxx005 tointegralx 0.3 -> 0 Inexact Rounded\r |
| 40 | intxx006 tointegralx 0.4 -> 0 Inexact Rounded\r |
| 41 | intxx007 tointegralx 0.5 -> 1 Inexact Rounded\r |
| 42 | intxx008 tointegralx 0.6 -> 1 Inexact Rounded\r |
| 43 | intxx009 tointegralx 0.7 -> 1 Inexact Rounded\r |
| 44 | intxx010 tointegralx 0.8 -> 1 Inexact Rounded\r |
| 45 | intxx011 tointegralx 0.9 -> 1 Inexact Rounded\r |
| 46 | intxx012 tointegralx 1 -> 1\r |
| 47 | intxx013 tointegralx 1.0 -> 1 Rounded\r |
| 48 | intxx014 tointegralx 1.1 -> 1 Inexact Rounded\r |
| 49 | intxx015 tointegralx 1.2 -> 1 Inexact Rounded\r |
| 50 | intxx016 tointegralx 1.3 -> 1 Inexact Rounded\r |
| 51 | intxx017 tointegralx 1.4 -> 1 Inexact Rounded\r |
| 52 | intxx018 tointegralx 1.5 -> 2 Inexact Rounded\r |
| 53 | intxx019 tointegralx 1.6 -> 2 Inexact Rounded\r |
| 54 | intxx020 tointegralx 1.7 -> 2 Inexact Rounded\r |
| 55 | intxx021 tointegralx 1.8 -> 2 Inexact Rounded\r |
| 56 | intxx022 tointegralx 1.9 -> 2 Inexact Rounded\r |
| 57 | -- negatives\r |
| 58 | intxx031 tointegralx -0 -> -0\r |
| 59 | intxx032 tointegralx -0.0 -> -0\r |
| 60 | intxx033 tointegralx -0.1 -> -0 Inexact Rounded\r |
| 61 | intxx034 tointegralx -0.2 -> -0 Inexact Rounded\r |
| 62 | intxx035 tointegralx -0.3 -> -0 Inexact Rounded\r |
| 63 | intxx036 tointegralx -0.4 -> -0 Inexact Rounded\r |
| 64 | intxx037 tointegralx -0.5 -> -1 Inexact Rounded\r |
| 65 | intxx038 tointegralx -0.6 -> -1 Inexact Rounded\r |
| 66 | intxx039 tointegralx -0.7 -> -1 Inexact Rounded\r |
| 67 | intxx040 tointegralx -0.8 -> -1 Inexact Rounded\r |
| 68 | intxx041 tointegralx -0.9 -> -1 Inexact Rounded\r |
| 69 | intxx042 tointegralx -1 -> -1\r |
| 70 | intxx043 tointegralx -1.0 -> -1 Rounded\r |
| 71 | intxx044 tointegralx -1.1 -> -1 Inexact Rounded\r |
| 72 | intxx045 tointegralx -1.2 -> -1 Inexact Rounded\r |
| 73 | intxx046 tointegralx -1.3 -> -1 Inexact Rounded\r |
| 74 | intxx047 tointegralx -1.4 -> -1 Inexact Rounded\r |
| 75 | intxx048 tointegralx -1.5 -> -2 Inexact Rounded\r |
| 76 | intxx049 tointegralx -1.6 -> -2 Inexact Rounded\r |
| 77 | intxx050 tointegralx -1.7 -> -2 Inexact Rounded\r |
| 78 | intxx051 tointegralx -1.8 -> -2 Inexact Rounded\r |
| 79 | intxx052 tointegralx -1.9 -> -2 Inexact Rounded\r |
| 80 | -- next two would be NaN using quantize(x, 0)\r |
| 81 | intxx053 tointegralx 10E+30 -> 1.0E+31\r |
| 82 | intxx054 tointegralx -10E+30 -> -1.0E+31\r |
| 83 | \r |
| 84 | -- numbers around precision\r |
| 85 | precision: 9\r |
| 86 | intxx060 tointegralx '56267E-10' -> '0' Inexact Rounded\r |
| 87 | intxx061 tointegralx '56267E-5' -> '1' Inexact Rounded\r |
| 88 | intxx062 tointegralx '56267E-2' -> '563' Inexact Rounded\r |
| 89 | intxx063 tointegralx '56267E-1' -> '5627' Inexact Rounded\r |
| 90 | intxx065 tointegralx '56267E-0' -> '56267'\r |
| 91 | intxx066 tointegralx '56267E+0' -> '56267'\r |
| 92 | intxx067 tointegralx '56267E+1' -> '5.6267E+5'\r |
| 93 | intxx068 tointegralx '56267E+2' -> '5.6267E+6'\r |
| 94 | intxx069 tointegralx '56267E+3' -> '5.6267E+7'\r |
| 95 | intxx070 tointegralx '56267E+4' -> '5.6267E+8'\r |
| 96 | intxx071 tointegralx '56267E+5' -> '5.6267E+9'\r |
| 97 | intxx072 tointegralx '56267E+6' -> '5.6267E+10'\r |
| 98 | intxx073 tointegralx '1.23E+96' -> '1.23E+96'\r |
| 99 | intxx074 tointegralx '1.23E+384' -> '1.23E+384'\r |
| 100 | intxx075 tointegralx '1.23E+999' -> '1.23E+999'\r |
| 101 | \r |
| 102 | intxx080 tointegralx '-56267E-10' -> '-0' Inexact Rounded\r |
| 103 | intxx081 tointegralx '-56267E-5' -> '-1' Inexact Rounded\r |
| 104 | intxx082 tointegralx '-56267E-2' -> '-563' Inexact Rounded\r |
| 105 | intxx083 tointegralx '-56267E-1' -> '-5627' Inexact Rounded\r |
| 106 | intxx085 tointegralx '-56267E-0' -> '-56267'\r |
| 107 | intxx086 tointegralx '-56267E+0' -> '-56267'\r |
| 108 | intxx087 tointegralx '-56267E+1' -> '-5.6267E+5'\r |
| 109 | intxx088 tointegralx '-56267E+2' -> '-5.6267E+6'\r |
| 110 | intxx089 tointegralx '-56267E+3' -> '-5.6267E+7'\r |
| 111 | intxx090 tointegralx '-56267E+4' -> '-5.6267E+8'\r |
| 112 | intxx091 tointegralx '-56267E+5' -> '-5.6267E+9'\r |
| 113 | intxx092 tointegralx '-56267E+6' -> '-5.6267E+10'\r |
| 114 | intxx093 tointegralx '-1.23E+96' -> '-1.23E+96'\r |
| 115 | intxx094 tointegralx '-1.23E+384' -> '-1.23E+384'\r |
| 116 | intxx095 tointegralx '-1.23E+999' -> '-1.23E+999'\r |
| 117 | \r |
| 118 | -- subnormal inputs\r |
| 119 | intxx100 tointegralx 1E-999 -> 0 Inexact Rounded\r |
| 120 | intxx101 tointegralx 0.1E-999 -> 0 Inexact Rounded\r |
| 121 | intxx102 tointegralx 0.01E-999 -> 0 Inexact Rounded\r |
| 122 | intxx103 tointegralx 0E-999 -> 0\r |
| 123 | \r |
| 124 | -- specials and zeros\r |
| 125 | intxx120 tointegralx 'Inf' -> Infinity\r |
| 126 | intxx121 tointegralx '-Inf' -> -Infinity\r |
| 127 | intxx122 tointegralx NaN -> NaN\r |
| 128 | intxx123 tointegralx sNaN -> NaN Invalid_operation\r |
| 129 | intxx124 tointegralx 0 -> 0\r |
| 130 | intxx125 tointegralx -0 -> -0\r |
| 131 | intxx126 tointegralx 0.000 -> 0\r |
| 132 | intxx127 tointegralx 0.00 -> 0\r |
| 133 | intxx128 tointegralx 0.0 -> 0\r |
| 134 | intxx129 tointegralx 0 -> 0\r |
| 135 | intxx130 tointegralx 0E-3 -> 0\r |
| 136 | intxx131 tointegralx 0E-2 -> 0\r |
| 137 | intxx132 tointegralx 0E-1 -> 0\r |
| 138 | intxx133 tointegralx 0E-0 -> 0\r |
| 139 | intxx134 tointegralx 0E+1 -> 0E+1\r |
| 140 | intxx135 tointegralx 0E+2 -> 0E+2\r |
| 141 | intxx136 tointegralx 0E+3 -> 0E+3\r |
| 142 | intxx137 tointegralx 0E+4 -> 0E+4\r |
| 143 | intxx138 tointegralx 0E+5 -> 0E+5\r |
| 144 | intxx139 tointegralx -0.000 -> -0\r |
| 145 | intxx140 tointegralx -0.00 -> -0\r |
| 146 | intxx141 tointegralx -0.0 -> -0\r |
| 147 | intxx142 tointegralx -0 -> -0\r |
| 148 | intxx143 tointegralx -0E-3 -> -0\r |
| 149 | intxx144 tointegralx -0E-2 -> -0\r |
| 150 | intxx145 tointegralx -0E-1 -> -0\r |
| 151 | intxx146 tointegralx -0E-0 -> -0\r |
| 152 | intxx147 tointegralx -0E+1 -> -0E+1\r |
| 153 | intxx148 tointegralx -0E+2 -> -0E+2\r |
| 154 | intxx149 tointegralx -0E+3 -> -0E+3\r |
| 155 | intxx150 tointegralx -0E+4 -> -0E+4\r |
| 156 | intxx151 tointegralx -0E+5 -> -0E+5\r |
| 157 | -- propagating NaNs\r |
| 158 | intxx152 tointegralx NaN808 -> NaN808\r |
| 159 | intxx153 tointegralx sNaN080 -> NaN80 Invalid_operation\r |
| 160 | intxx154 tointegralx -NaN808 -> -NaN808\r |
| 161 | intxx155 tointegralx -sNaN080 -> -NaN80 Invalid_operation\r |
| 162 | intxx156 tointegralx -NaN -> -NaN\r |
| 163 | intxx157 tointegralx -sNaN -> -NaN Invalid_operation\r |
| 164 | \r |
| 165 | -- examples\r |
| 166 | rounding: half_up\r |
| 167 | precision: 9\r |
| 168 | intxx200 tointegralx 2.1 -> 2 Inexact Rounded\r |
| 169 | intxx201 tointegralx 100 -> 100\r |
| 170 | intxx202 tointegralx 100.0 -> 100 Rounded\r |
| 171 | intxx203 tointegralx 101.5 -> 102 Inexact Rounded\r |
| 172 | intxx204 tointegralx -101.5 -> -102 Inexact Rounded\r |
| 173 | intxx205 tointegralx 10E+5 -> 1.0E+6\r |
| 174 | intxx206 tointegralx 7.89E+77 -> 7.89E+77\r |
| 175 | intxx207 tointegralx -Inf -> -Infinity\r |
| 176 | \r |
| 177 | \r |
| 178 | -- all rounding modes\r |
| 179 | rounding: half_even\r |
| 180 | \r |
| 181 | intxx210 tointegralx 55.5 -> 56 Inexact Rounded\r |
| 182 | intxx211 tointegralx 56.5 -> 56 Inexact Rounded\r |
| 183 | intxx212 tointegralx 57.5 -> 58 Inexact Rounded\r |
| 184 | intxx213 tointegralx -55.5 -> -56 Inexact Rounded\r |
| 185 | intxx214 tointegralx -56.5 -> -56 Inexact Rounded\r |
| 186 | intxx215 tointegralx -57.5 -> -58 Inexact Rounded\r |
| 187 | \r |
| 188 | rounding: half_up\r |
| 189 | \r |
| 190 | intxx220 tointegralx 55.5 -> 56 Inexact Rounded\r |
| 191 | intxx221 tointegralx 56.5 -> 57 Inexact Rounded\r |
| 192 | intxx222 tointegralx 57.5 -> 58 Inexact Rounded\r |
| 193 | intxx223 tointegralx -55.5 -> -56 Inexact Rounded\r |
| 194 | intxx224 tointegralx -56.5 -> -57 Inexact Rounded\r |
| 195 | intxx225 tointegralx -57.5 -> -58 Inexact Rounded\r |
| 196 | \r |
| 197 | rounding: half_down\r |
| 198 | \r |
| 199 | intxx230 tointegralx 55.5 -> 55 Inexact Rounded\r |
| 200 | intxx231 tointegralx 56.5 -> 56 Inexact Rounded\r |
| 201 | intxx232 tointegralx 57.5 -> 57 Inexact Rounded\r |
| 202 | intxx233 tointegralx -55.5 -> -55 Inexact Rounded\r |
| 203 | intxx234 tointegralx -56.5 -> -56 Inexact Rounded\r |
| 204 | intxx235 tointegralx -57.5 -> -57 Inexact Rounded\r |
| 205 | \r |
| 206 | rounding: up\r |
| 207 | \r |
| 208 | intxx240 tointegralx 55.3 -> 56 Inexact Rounded\r |
| 209 | intxx241 tointegralx 56.3 -> 57 Inexact Rounded\r |
| 210 | intxx242 tointegralx 57.3 -> 58 Inexact Rounded\r |
| 211 | intxx243 tointegralx -55.3 -> -56 Inexact Rounded\r |
| 212 | intxx244 tointegralx -56.3 -> -57 Inexact Rounded\r |
| 213 | intxx245 tointegralx -57.3 -> -58 Inexact Rounded\r |
| 214 | \r |
| 215 | rounding: down\r |
| 216 | \r |
| 217 | intxx250 tointegralx 55.7 -> 55 Inexact Rounded\r |
| 218 | intxx251 tointegralx 56.7 -> 56 Inexact Rounded\r |
| 219 | intxx252 tointegralx 57.7 -> 57 Inexact Rounded\r |
| 220 | intxx253 tointegralx -55.7 -> -55 Inexact Rounded\r |
| 221 | intxx254 tointegralx -56.7 -> -56 Inexact Rounded\r |
| 222 | intxx255 tointegralx -57.7 -> -57 Inexact Rounded\r |
| 223 | \r |
| 224 | rounding: ceiling\r |
| 225 | \r |
| 226 | intxx260 tointegralx 55.3 -> 56 Inexact Rounded\r |
| 227 | intxx261 tointegralx 56.3 -> 57 Inexact Rounded\r |
| 228 | intxx262 tointegralx 57.3 -> 58 Inexact Rounded\r |
| 229 | intxx263 tointegralx -55.3 -> -55 Inexact Rounded\r |
| 230 | intxx264 tointegralx -56.3 -> -56 Inexact Rounded\r |
| 231 | intxx265 tointegralx -57.3 -> -57 Inexact Rounded\r |
| 232 | \r |
| 233 | rounding: floor\r |
| 234 | \r |
| 235 | intxx270 tointegralx 55.7 -> 55 Inexact Rounded\r |
| 236 | intxx271 tointegralx 56.7 -> 56 Inexact Rounded\r |
| 237 | intxx272 tointegralx 57.7 -> 57 Inexact Rounded\r |
| 238 | intxx273 tointegralx -55.7 -> -56 Inexact Rounded\r |
| 239 | intxx274 tointegralx -56.7 -> -57 Inexact Rounded\r |
| 240 | intxx275 tointegralx -57.7 -> -58 Inexact Rounded\r |
| 241 | \r |
| 242 | -- Int and uInt32 edge values for testing conversions\r |
| 243 | precision: 16\r |
| 244 | intxx300 tointegralx -2147483646 -> -2147483646\r |
| 245 | intxx301 tointegralx -2147483647 -> -2147483647\r |
| 246 | intxx302 tointegralx -2147483648 -> -2147483648\r |
| 247 | intxx303 tointegralx -2147483649 -> -2147483649\r |
| 248 | intxx304 tointegralx 2147483646 -> 2147483646\r |
| 249 | intxx305 tointegralx 2147483647 -> 2147483647\r |
| 250 | intxx306 tointegralx 2147483648 -> 2147483648\r |
| 251 | intxx307 tointegralx 2147483649 -> 2147483649\r |
| 252 | intxx308 tointegralx 4294967294 -> 4294967294\r |
| 253 | intxx309 tointegralx 4294967295 -> 4294967295\r |
| 254 | intxx310 tointegralx 4294967296 -> 4294967296\r |
| 255 | intxx311 tointegralx 4294967297 -> 4294967297\r |
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