1 ------------------------------------------------------------------------ 2 -- tointegral.decTest -- round decimal 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' operation (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. 26 -- Note that 754r requires that Inexact not be set, and we similarly 27 -- assume Rounded is not set. 28 29 extended: 1 30 precision: 9 31 rounding: half_up 32 maxExponent: 999 33 minExponent: -999 34 35 intx001 tointegral 0 -> 0 36 intx002 tointegral 0.0 -> 0 37 intx003 tointegral 0.1 -> 0 38 intx004 tointegral 0.2 -> 0 39 intx005 tointegral 0.3 -> 0 40 intx006 tointegral 0.4 -> 0 41 intx007 tointegral 0.5 -> 1 42 intx008 tointegral 0.6 -> 1 43 intx009 tointegral 0.7 -> 1 44 intx010 tointegral 0.8 -> 1 45 intx011 tointegral 0.9 -> 1 46 intx012 tointegral 1 -> 1 47 intx013 tointegral 1.0 -> 1 48 intx014 tointegral 1.1 -> 1 49 intx015 tointegral 1.2 -> 1 50 intx016 tointegral 1.3 -> 1 51 intx017 tointegral 1.4 -> 1 52 intx018 tointegral 1.5 -> 2 53 intx019 tointegral 1.6 -> 2 54 intx020 tointegral 1.7 -> 2 55 intx021 tointegral 1.8 -> 2 56 intx022 tointegral 1.9 -> 2 57 -- negatives 58 intx031 tointegral -0 -> -0 59 intx032 tointegral -0.0 -> -0 60 intx033 tointegral -0.1 -> -0 61 intx034 tointegral -0.2 -> -0 62 intx035 tointegral -0.3 -> -0 63 intx036 tointegral -0.4 -> -0 64 intx037 tointegral -0.5 -> -1 65 intx038 tointegral -0.6 -> -1 66 intx039 tointegral -0.7 -> -1 67 intx040 tointegral -0.8 -> -1 68 intx041 tointegral -0.9 -> -1 69 intx042 tointegral -1 -> -1 70 intx043 tointegral -1.0 -> -1 71 intx044 tointegral -1.1 -> -1 72 intx045 tointegral -1.2 -> -1 73 intx046 tointegral -1.3 -> -1 74 intx047 tointegral -1.4 -> -1 75 intx048 tointegral -1.5 -> -2 76 intx049 tointegral -1.6 -> -2 77 intx050 tointegral -1.7 -> -2 78 intx051 tointegral -1.8 -> -2 79 intx052 tointegral -1.9 -> -2 80 -- next two would be NaN using quantize(x, 0) 81 intx053 tointegral 10E+30 -> 1.0E+31 82 intx054 tointegral -10E+30 -> -1.0E+31 83 84 -- numbers around precision 85 precision: 9 86 intx060 tointegral '56267E-10' -> '0' 87 intx061 tointegral '56267E-5' -> '1' 88 intx062 tointegral '56267E-2' -> '563' 89 intx063 tointegral '56267E-1' -> '5627' 90 intx065 tointegral '56267E-0' -> '56267' 91 intx066 tointegral '56267E+0' -> '56267' 92 intx067 tointegral '56267E+1' -> '5.6267E+5' 93 intx068 tointegral '56267E+2' -> '5.6267E+6' 94 intx069 tointegral '56267E+3' -> '5.6267E+7' 95 intx070 tointegral '56267E+4' -> '5.6267E+8' 96 intx071 tointegral '56267E+5' -> '5.6267E+9' 97 intx072 tointegral '56267E+6' -> '5.6267E+10' 98 intx073 tointegral '1.23E+96' -> '1.23E+96' 99 intx074 tointegral '1.23E+384' -> '1.23E+384' 100 intx075 tointegral '1.23E+999' -> '1.23E+999' 101 102 intx080 tointegral '-56267E-10' -> '-0' 103 intx081 tointegral '-56267E-5' -> '-1' 104 intx082 tointegral '-56267E-2' -> '-563' 105 intx083 tointegral '-56267E-1' -> '-5627' 106 intx085 tointegral '-56267E-0' -> '-56267' 107 intx086 tointegral '-56267E+0' -> '-56267' 108 intx087 tointegral '-56267E+1' -> '-5.6267E+5' 109 intx088 tointegral '-56267E+2' -> '-5.6267E+6' 110 intx089 tointegral '-56267E+3' -> '-5.6267E+7' 111 intx090 tointegral '-56267E+4' -> '-5.6267E+8' 112 intx091 tointegral '-56267E+5' -> '-5.6267E+9' 113 intx092 tointegral '-56267E+6' -> '-5.6267E+10' 114 intx093 tointegral '-1.23E+96' -> '-1.23E+96' 115 intx094 tointegral '-1.23E+384' -> '-1.23E+384' 116 intx095 tointegral '-1.23E+999' -> '-1.23E+999' 117 118 -- subnormal inputs 119 intx100 tointegral 1E-999 -> 0 120 intx101 tointegral 0.1E-999 -> 0 121 intx102 tointegral 0.01E-999 -> 0 122 intx103 tointegral 0E-999 -> 0 123 124 -- specials and zeros 125 intx120 tointegral 'Inf' -> Infinity 126 intx121 tointegral '-Inf' -> -Infinity 127 intx122 tointegral NaN -> NaN 128 intx123 tointegral sNaN -> NaN Invalid_operation 129 intx124 tointegral 0 -> 0 130 intx125 tointegral -0 -> -0 131 intx126 tointegral 0.000 -> 0 132 intx127 tointegral 0.00 -> 0 133 intx128 tointegral 0.0 -> 0 134 intx129 tointegral 0 -> 0 135 intx130 tointegral 0E-3 -> 0 136 intx131 tointegral 0E-2 -> 0 137 intx132 tointegral 0E-1 -> 0 138 intx133 tointegral 0E-0 -> 0 139 intx134 tointegral 0E+1 -> 0E+1 140 intx135 tointegral 0E+2 -> 0E+2 141 intx136 tointegral 0E+3 -> 0E+3 142 intx137 tointegral 0E+4 -> 0E+4 143 intx138 tointegral 0E+5 -> 0E+5 144 intx139 tointegral -0.000 -> -0 145 intx140 tointegral -0.00 -> -0 146 intx141 tointegral -0.0 -> -0 147 intx142 tointegral -0 -> -0 148 intx143 tointegral -0E-3 -> -0 149 intx144 tointegral -0E-2 -> -0 150 intx145 tointegral -0E-1 -> -0 151 intx146 tointegral -0E-0 -> -0 152 intx147 tointegral -0E+1 -> -0E+1 153 intx148 tointegral -0E+2 -> -0E+2 154 intx149 tointegral -0E+3 -> -0E+3 155 intx150 tointegral -0E+4 -> -0E+4 156 intx151 tointegral -0E+5 -> -0E+5 157 -- propagating NaNs 158 intx152 tointegral NaN808 -> NaN808 159 intx153 tointegral sNaN080 -> NaN80 Invalid_operation 160 intx154 tointegral -NaN808 -> -NaN808 161 intx155 tointegral -sNaN080 -> -NaN80 Invalid_operation 162 intx156 tointegral -NaN -> -NaN 163 intx157 tointegral -sNaN -> -NaN Invalid_operation 164 165 -- examples 166 rounding: half_up 167 precision: 9 168 intx200 tointegral 2.1 -> 2 169 intx201 tointegral 100 -> 100 170 intx202 tointegral 100.0 -> 100 171 intx203 tointegral 101.5 -> 102 172 intx204 tointegral -101.5 -> -102 173 intx205 tointegral 10E+5 -> 1.0E+6 174 intx206 tointegral 7.89E+77 -> 7.89E+77 175 intx207 tointegral -Inf -> -Infinity 176 177 178 -- all rounding modes 179 rounding: half_even 180 181 intx210 tointegral 55.5 -> 56 182 intx211 tointegral 56.5 -> 56 183 intx212 tointegral 57.5 -> 58 184 intx213 tointegral -55.5 -> -56 185 intx214 tointegral -56.5 -> -56 186 intx215 tointegral -57.5 -> -58 187 188 rounding: half_up 189 190 intx220 tointegral 55.5 -> 56 191 intx221 tointegral 56.5 -> 57 192 intx222 tointegral 57.5 -> 58 193 intx223 tointegral -55.5 -> -56 194 intx224 tointegral -56.5 -> -57 195 intx225 tointegral -57.5 -> -58 196 197 rounding: half_down 198 199 intx230 tointegral 55.5 -> 55 200 intx231 tointegral 56.5 -> 56 201 intx232 tointegral 57.5 -> 57 202 intx233 tointegral -55.5 -> -55 203 intx234 tointegral -56.5 -> -56 204 intx235 tointegral -57.5 -> -57 205 206 rounding: up 207 208 intx240 tointegral 55.3 -> 56 209 intx241 tointegral 56.3 -> 57 210 intx242 tointegral 57.3 -> 58 211 intx243 tointegral -55.3 -> -56 212 intx244 tointegral -56.3 -> -57 213 intx245 tointegral -57.3 -> -58 214 215 rounding: down 216 217 intx250 tointegral 55.7 -> 55 218 intx251 tointegral 56.7 -> 56 219 intx252 tointegral 57.7 -> 57 220 intx253 tointegral -55.7 -> -55 221 intx254 tointegral -56.7 -> -56 222 intx255 tointegral -57.7 -> -57 223 224 rounding: ceiling 225 226 intx260 tointegral 55.3 -> 56 227 intx261 tointegral 56.3 -> 57 228 intx262 tointegral 57.3 -> 58 229 intx263 tointegral -55.3 -> -55 230 intx264 tointegral -56.3 -> -56 231 intx265 tointegral -57.3 -> -57 232 233 rounding: floor 234 235 intx270 tointegral 55.7 -> 55 236 intx271 tointegral 56.7 -> 56 237 intx272 tointegral 57.7 -> 57 238 intx273 tointegral -55.7 -> -56 239 intx274 tointegral -56.7 -> -57 240 intx275 tointegral -57.7 -> -58 241 242
