1 ------------------------------------------------------------------------ 2 -- ddToIntegral.decTest -- round Double to integral value -- 3 -- Copyright (c) IBM Corporation, 2001, 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 (a] uk.ibm.com -- 19 ------------------------------------------------------------------------ 20 version: 2.59 21 22 -- This set of tests tests the extended specification 'round-to-integral 23 -- value-exact' operations (from IEEE 854, later modified in 754r). 24 -- All non-zero results are defined as being those from either copy or 25 -- quantize, so those are assumed to have been tested extensively 26 -- elsewhere; the tests here are for integrity, rounding mode, etc. 27 -- Also, it is assumed the test harness will use these tests for both 28 -- ToIntegralExact (which does set Inexact) and the fixed-name 29 -- functions (which do not set Inexact). 30 31 -- Note that decNumber implements an earlier definition of toIntegral 32 -- which never sets Inexact; the decTest operator for that is called 33 -- 'tointegral' instead of 'tointegralx'. 34 35 precision: 16 36 maxExponent: 384 37 minExponent: -383 38 extended: 1 39 clamp: 1 40 rounding: half_even 41 42 ddintx001 tointegralx 0 -> 0 43 ddintx002 tointegralx 0.0 -> 0 44 ddintx003 tointegralx 0.1 -> 0 Inexact Rounded 45 ddintx004 tointegralx 0.2 -> 0 Inexact Rounded 46 ddintx005 tointegralx 0.3 -> 0 Inexact Rounded 47 ddintx006 tointegralx 0.4 -> 0 Inexact Rounded 48 ddintx007 tointegralx 0.5 -> 0 Inexact Rounded 49 ddintx008 tointegralx 0.6 -> 1 Inexact Rounded 50 ddintx009 tointegralx 0.7 -> 1 Inexact Rounded 51 ddintx010 tointegralx 0.8 -> 1 Inexact Rounded 52 ddintx011 tointegralx 0.9 -> 1 Inexact Rounded 53 ddintx012 tointegralx 1 -> 1 54 ddintx013 tointegralx 1.0 -> 1 Rounded 55 ddintx014 tointegralx 1.1 -> 1 Inexact Rounded 56 ddintx015 tointegralx 1.2 -> 1 Inexact Rounded 57 ddintx016 tointegralx 1.3 -> 1 Inexact Rounded 58 ddintx017 tointegralx 1.4 -> 1 Inexact Rounded 59 ddintx018 tointegralx 1.5 -> 2 Inexact Rounded 60 ddintx019 tointegralx 1.6 -> 2 Inexact Rounded 61 ddintx020 tointegralx 1.7 -> 2 Inexact Rounded 62 ddintx021 tointegralx 1.8 -> 2 Inexact Rounded 63 ddintx022 tointegralx 1.9 -> 2 Inexact Rounded 64 -- negatives 65 ddintx031 tointegralx -0 -> -0 66 ddintx032 tointegralx -0.0 -> -0 67 ddintx033 tointegralx -0.1 -> -0 Inexact Rounded 68 ddintx034 tointegralx -0.2 -> -0 Inexact Rounded 69 ddintx035 tointegralx -0.3 -> -0 Inexact Rounded 70 ddintx036 tointegralx -0.4 -> -0 Inexact Rounded 71 ddintx037 tointegralx -0.5 -> -0 Inexact Rounded 72 ddintx038 tointegralx -0.6 -> -1 Inexact Rounded 73 ddintx039 tointegralx -0.7 -> -1 Inexact Rounded 74 ddintx040 tointegralx -0.8 -> -1 Inexact Rounded 75 ddintx041 tointegralx -0.9 -> -1 Inexact Rounded 76 ddintx042 tointegralx -1 -> -1 77 ddintx043 tointegralx -1.0 -> -1 Rounded 78 ddintx044 tointegralx -1.1 -> -1 Inexact Rounded 79 ddintx045 tointegralx -1.2 -> -1 Inexact Rounded 80 ddintx046 tointegralx -1.3 -> -1 Inexact Rounded 81 ddintx047 tointegralx -1.4 -> -1 Inexact Rounded 82 ddintx048 tointegralx -1.5 -> -2 Inexact Rounded 83 ddintx049 tointegralx -1.6 -> -2 Inexact Rounded 84 ddintx050 tointegralx -1.7 -> -2 Inexact Rounded 85 ddintx051 tointegralx -1.8 -> -2 Inexact Rounded 86 ddintx052 tointegralx -1.9 -> -2 Inexact Rounded 87 -- next two would be NaN using quantize(x, 0) 88 ddintx053 tointegralx 10E+60 -> 1.0E+61 89 ddintx054 tointegralx -10E+60 -> -1.0E+61 90 91 -- numbers around precision 92 ddintx060 tointegralx '56267E-17' -> '0' Inexact Rounded 93 ddintx061 tointegralx '56267E-5' -> '1' Inexact Rounded 94 ddintx062 tointegralx '56267E-2' -> '563' Inexact Rounded 95 ddintx063 tointegralx '56267E-1' -> '5627' Inexact Rounded 96 ddintx065 tointegralx '56267E-0' -> '56267' 97 ddintx066 tointegralx '56267E+0' -> '56267' 98 ddintx067 tointegralx '56267E+1' -> '5.6267E+5' 99 ddintx068 tointegralx '56267E+9' -> '5.6267E+13' 100 ddintx069 tointegralx '56267E+10' -> '5.6267E+14' 101 ddintx070 tointegralx '56267E+11' -> '5.6267E+15' 102 ddintx071 tointegralx '56267E+12' -> '5.6267E+16' 103 ddintx072 tointegralx '56267E+13' -> '5.6267E+17' 104 ddintx073 tointegralx '1.23E+96' -> '1.23E+96' 105 ddintx074 tointegralx '1.23E+384' -> #47fd300000000000 Clamped 106 107 ddintx080 tointegralx '-56267E-10' -> '-0' Inexact Rounded 108 ddintx081 tointegralx '-56267E-5' -> '-1' Inexact Rounded 109 ddintx082 tointegralx '-56267E-2' -> '-563' Inexact Rounded 110 ddintx083 tointegralx '-56267E-1' -> '-5627' Inexact Rounded 111 ddintx085 tointegralx '-56267E-0' -> '-56267' 112 ddintx086 tointegralx '-56267E+0' -> '-56267' 113 ddintx087 tointegralx '-56267E+1' -> '-5.6267E+5' 114 ddintx088 tointegralx '-56267E+9' -> '-5.6267E+13' 115 ddintx089 tointegralx '-56267E+10' -> '-5.6267E+14' 116 ddintx090 tointegralx '-56267E+11' -> '-5.6267E+15' 117 ddintx091 tointegralx '-56267E+12' -> '-5.6267E+16' 118 ddintx092 tointegralx '-56267E+13' -> '-5.6267E+17' 119 ddintx093 tointegralx '-1.23E+96' -> '-1.23E+96' 120 ddintx094 tointegralx '-1.23E+384' -> #c7fd300000000000 Clamped 121 122 -- subnormal inputs 123 ddintx100 tointegralx 1E-299 -> 0 Inexact Rounded 124 ddintx101 tointegralx 0.1E-299 -> 0 Inexact Rounded 125 ddintx102 tointegralx 0.01E-299 -> 0 Inexact Rounded 126 ddintx103 tointegralx 0E-299 -> 0 127 128 -- specials and zeros 129 ddintx120 tointegralx 'Inf' -> Infinity 130 ddintx121 tointegralx '-Inf' -> -Infinity 131 ddintx122 tointegralx NaN -> NaN 132 ddintx123 tointegralx sNaN -> NaN Invalid_operation 133 ddintx124 tointegralx 0 -> 0 134 ddintx125 tointegralx -0 -> -0 135 ddintx126 tointegralx 0.000 -> 0 136 ddintx127 tointegralx 0.00 -> 0 137 ddintx128 tointegralx 0.0 -> 0 138 ddintx129 tointegralx 0 -> 0 139 ddintx130 tointegralx 0E-3 -> 0 140 ddintx131 tointegralx 0E-2 -> 0 141 ddintx132 tointegralx 0E-1 -> 0 142 ddintx133 tointegralx 0E-0 -> 0 143 ddintx134 tointegralx 0E+1 -> 0E+1 144 ddintx135 tointegralx 0E+2 -> 0E+2 145 ddintx136 tointegralx 0E+3 -> 0E+3 146 ddintx137 tointegralx 0E+4 -> 0E+4 147 ddintx138 tointegralx 0E+5 -> 0E+5 148 ddintx139 tointegralx -0.000 -> -0 149 ddintx140 tointegralx -0.00 -> -0 150 ddintx141 tointegralx -0.0 -> -0 151 ddintx142 tointegralx -0 -> -0 152 ddintx143 tointegralx -0E-3 -> -0 153 ddintx144 tointegralx -0E-2 -> -0 154 ddintx145 tointegralx -0E-1 -> -0 155 ddintx146 tointegralx -0E-0 -> -0 156 ddintx147 tointegralx -0E+1 -> -0E+1 157 ddintx148 tointegralx -0E+2 -> -0E+2 158 ddintx149 tointegralx -0E+3 -> -0E+3 159 ddintx150 tointegralx -0E+4 -> -0E+4 160 ddintx151 tointegralx -0E+5 -> -0E+5 161 -- propagating NaNs 162 ddintx152 tointegralx NaN808 -> NaN808 163 ddintx153 tointegralx sNaN080 -> NaN80 Invalid_operation 164 ddintx154 tointegralx -NaN808 -> -NaN808 165 ddintx155 tointegralx -sNaN080 -> -NaN80 Invalid_operation 166 ddintx156 tointegralx -NaN -> -NaN 167 ddintx157 tointegralx -sNaN -> -NaN Invalid_operation 168 169 -- examples 170 rounding: half_up 171 ddintx200 tointegralx 2.1 -> 2 Inexact Rounded 172 ddintx201 tointegralx 100 -> 100 173 ddintx202 tointegralx 100.0 -> 100 Rounded 174 ddintx203 tointegralx 101.5 -> 102 Inexact Rounded 175 ddintx204 tointegralx -101.5 -> -102 Inexact Rounded 176 ddintx205 tointegralx 10E+5 -> 1.0E+6 177 ddintx206 tointegralx 7.89E+77 -> 7.89E+77 178 ddintx207 tointegralx -Inf -> -Infinity 179 180 181 -- all rounding modes 182 rounding: half_even 183 ddintx210 tointegralx 55.5 -> 56 Inexact Rounded 184 ddintx211 tointegralx 56.5 -> 56 Inexact Rounded 185 ddintx212 tointegralx 57.5 -> 58 Inexact Rounded 186 ddintx213 tointegralx -55.5 -> -56 Inexact Rounded 187 ddintx214 tointegralx -56.5 -> -56 Inexact Rounded 188 ddintx215 tointegralx -57.5 -> -58 Inexact Rounded 189 190 rounding: half_up 191 192 ddintx220 tointegralx 55.5 -> 56 Inexact Rounded 193 ddintx221 tointegralx 56.5 -> 57 Inexact Rounded 194 ddintx222 tointegralx 57.5 -> 58 Inexact Rounded 195 ddintx223 tointegralx -55.5 -> -56 Inexact Rounded 196 ddintx224 tointegralx -56.5 -> -57 Inexact Rounded 197 ddintx225 tointegralx -57.5 -> -58 Inexact Rounded 198 199 rounding: half_down 200 201 ddintx230 tointegralx 55.5 -> 55 Inexact Rounded 202 ddintx231 tointegralx 56.5 -> 56 Inexact Rounded 203 ddintx232 tointegralx 57.5 -> 57 Inexact Rounded 204 ddintx233 tointegralx -55.5 -> -55 Inexact Rounded 205 ddintx234 tointegralx -56.5 -> -56 Inexact Rounded 206 ddintx235 tointegralx -57.5 -> -57 Inexact Rounded 207 208 rounding: up 209 210 ddintx240 tointegralx 55.3 -> 56 Inexact Rounded 211 ddintx241 tointegralx 56.3 -> 57 Inexact Rounded 212 ddintx242 tointegralx 57.3 -> 58 Inexact Rounded 213 ddintx243 tointegralx -55.3 -> -56 Inexact Rounded 214 ddintx244 tointegralx -56.3 -> -57 Inexact Rounded 215 ddintx245 tointegralx -57.3 -> -58 Inexact Rounded 216 217 rounding: down 218 219 ddintx250 tointegralx 55.7 -> 55 Inexact Rounded 220 ddintx251 tointegralx 56.7 -> 56 Inexact Rounded 221 ddintx252 tointegralx 57.7 -> 57 Inexact Rounded 222 ddintx253 tointegralx -55.7 -> -55 Inexact Rounded 223 ddintx254 tointegralx -56.7 -> -56 Inexact Rounded 224 ddintx255 tointegralx -57.7 -> -57 Inexact Rounded 225 226 rounding: ceiling 227 228 ddintx260 tointegralx 55.3 -> 56 Inexact Rounded 229 ddintx261 tointegralx 56.3 -> 57 Inexact Rounded 230 ddintx262 tointegralx 57.3 -> 58 Inexact Rounded 231 ddintx263 tointegralx -55.3 -> -55 Inexact Rounded 232 ddintx264 tointegralx -56.3 -> -56 Inexact Rounded 233 ddintx265 tointegralx -57.3 -> -57 Inexact Rounded 234 235 rounding: floor 236 237 ddintx270 tointegralx 55.7 -> 55 Inexact Rounded 238 ddintx271 tointegralx 56.7 -> 56 Inexact Rounded 239 ddintx272 tointegralx 57.7 -> 57 Inexact Rounded 240 ddintx273 tointegralx -55.7 -> -56 Inexact Rounded 241 ddintx274 tointegralx -56.7 -> -57 Inexact Rounded 242 ddintx275 tointegralx -57.7 -> -58 Inexact Rounded 243 244 -- Int and uInt32 edge values for testing conversions 245 ddintx300 tointegralx -2147483646 -> -2147483646 246 ddintx301 tointegralx -2147483647 -> -2147483647 247 ddintx302 tointegralx -2147483648 -> -2147483648 248 ddintx303 tointegralx -2147483649 -> -2147483649 249 ddintx304 tointegralx 2147483646 -> 2147483646 250 ddintx305 tointegralx 2147483647 -> 2147483647 251 ddintx306 tointegralx 2147483648 -> 2147483648 252 ddintx307 tointegralx 2147483649 -> 2147483649 253 ddintx308 tointegralx 4294967294 -> 4294967294 254 ddintx309 tointegralx 4294967295 -> 4294967295 255 ddintx310 tointegralx 4294967296 -> 4294967296 256 ddintx311 tointegralx 4294967297 -> 4294967297 257 258
