github.com/cockroachdb/apd/v3@v3.2.0/testdata/reduce.decTest (about) 1 ------------------------------------------------------------------------ 2 -- reduce.decTest -- remove trailing zeros -- 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 ------------------------------------------------------------------------ 19 20 version: 2.62 21 22 extended: 1 23 precision: 9 24 rounding: half_up 25 maxExponent: 999 26 minexponent: -999 27 28 redx001 reduce '1' -> '1' 29 redx002 reduce '-1' -> '-1' 30 redx003 reduce '1.00' -> '1' 31 redx004 reduce '-1.00' -> '-1' 32 redx005 reduce '0' -> '0' 33 redx006 reduce '0.00' -> '0' 34 redx007 reduce '00.0' -> '0' 35 redx008 reduce '00.00' -> '0' 36 redx009 reduce '00' -> '0' 37 redx010 reduce '0E+1' -> '0' 38 redx011 reduce '0E+5' -> '0' 39 40 redx012 reduce '-2' -> '-2' 41 redx013 reduce '2' -> '2' 42 redx014 reduce '-2.00' -> '-2' 43 redx015 reduce '2.00' -> '2' 44 redx016 reduce '-0' -> '-0' 45 redx017 reduce '-0.00' -> '-0' 46 redx018 reduce '-00.0' -> '-0' 47 redx019 reduce '-00.00' -> '-0' 48 redx020 reduce '-00' -> '-0' 49 redx021 reduce '-0E+5' -> '-0' 50 redx022 reduce '-0E+1' -> '-0' 51 52 redx030 reduce '+0.1' -> '0.1' 53 redx031 reduce '-0.1' -> '-0.1' 54 redx032 reduce '+0.01' -> '0.01' 55 redx033 reduce '-0.01' -> '-0.01' 56 redx034 reduce '+0.001' -> '0.001' 57 redx035 reduce '-0.001' -> '-0.001' 58 redx036 reduce '+0.000001' -> '0.000001' 59 redx037 reduce '-0.000001' -> '-0.000001' 60 redx038 reduce '+0.000000000001' -> '1E-12' 61 redx039 reduce '-0.000000000001' -> '-1E-12' 62 63 redx041 reduce 1.1 -> 1.1 64 redx042 reduce 1.10 -> 1.1 65 redx043 reduce 1.100 -> 1.1 66 redx044 reduce 1.110 -> 1.11 67 redx045 reduce -1.1 -> -1.1 68 redx046 reduce -1.10 -> -1.1 69 redx047 reduce -1.100 -> -1.1 70 redx048 reduce -1.110 -> -1.11 71 redx049 reduce 9.9 -> 9.9 72 redx050 reduce 9.90 -> 9.9 73 redx051 reduce 9.900 -> 9.9 74 redx052 reduce 9.990 -> 9.99 75 redx053 reduce -9.9 -> -9.9 76 redx054 reduce -9.90 -> -9.9 77 redx055 reduce -9.900 -> -9.9 78 redx056 reduce -9.990 -> -9.99 79 80 -- some trailing fractional zeros with zeros in units 81 redx060 reduce 10.0 -> 1E+1 82 redx061 reduce 10.00 -> 1E+1 83 redx062 reduce 100.0 -> 1E+2 84 redx063 reduce 100.00 -> 1E+2 85 redx064 reduce 1.1000E+3 -> 1.1E+3 86 redx065 reduce 1.10000E+3 -> 1.1E+3 87 redx066 reduce -10.0 -> -1E+1 88 redx067 reduce -10.00 -> -1E+1 89 redx068 reduce -100.0 -> -1E+2 90 redx069 reduce -100.00 -> -1E+2 91 redx070 reduce -1.1000E+3 -> -1.1E+3 92 redx071 reduce -1.10000E+3 -> -1.1E+3 93 94 -- some insignificant trailing zeros with positive exponent 95 redx080 reduce 10E+1 -> 1E+2 96 redx081 reduce 100E+1 -> 1E+3 97 redx082 reduce 1.0E+2 -> 1E+2 98 redx083 reduce 1.0E+3 -> 1E+3 99 redx084 reduce 1.1E+3 -> 1.1E+3 100 redx085 reduce 1.00E+3 -> 1E+3 101 redx086 reduce 1.10E+3 -> 1.1E+3 102 redx087 reduce -10E+1 -> -1E+2 103 redx088 reduce -100E+1 -> -1E+3 104 redx089 reduce -1.0E+2 -> -1E+2 105 redx090 reduce -1.0E+3 -> -1E+3 106 redx091 reduce -1.1E+3 -> -1.1E+3 107 redx092 reduce -1.00E+3 -> -1E+3 108 redx093 reduce -1.10E+3 -> -1.1E+3 109 110 -- some significant trailing zeros, were we to be trimming 111 redx100 reduce 11 -> 11 112 redx101 reduce 10 -> 1E+1 113 redx102 reduce 10. -> 1E+1 114 redx103 reduce 1.1E+1 -> 11 115 redx104 reduce 1.0E+1 -> 1E+1 116 redx105 reduce 1.10E+2 -> 1.1E+2 117 redx106 reduce 1.00E+2 -> 1E+2 118 redx107 reduce 1.100E+3 -> 1.1E+3 119 redx108 reduce 1.000E+3 -> 1E+3 120 redx109 reduce 1.000000E+6 -> 1E+6 121 redx110 reduce -11 -> -11 122 redx111 reduce -10 -> -1E+1 123 redx112 reduce -10. -> -1E+1 124 redx113 reduce -1.1E+1 -> -11 125 redx114 reduce -1.0E+1 -> -1E+1 126 redx115 reduce -1.10E+2 -> -1.1E+2 127 redx116 reduce -1.00E+2 -> -1E+2 128 redx117 reduce -1.100E+3 -> -1.1E+3 129 redx118 reduce -1.000E+3 -> -1E+3 130 redx119 reduce -1.00000E+5 -> -1E+5 131 redx120 reduce -1.000000E+6 -> -1E+6 132 redx121 reduce -10.00000E+6 -> -1E+7 133 redx122 reduce -100.0000E+6 -> -1E+8 134 redx123 reduce -1000.000E+6 -> -1E+9 135 redx124 reduce -10000.00E+6 -> -1E+10 136 redx125 reduce -100000.0E+6 -> -1E+11 137 redx126 reduce -1000000.E+6 -> -1E+12 138 139 -- examples from decArith 140 redx140 reduce '2.1' -> '2.1' 141 redx141 reduce '-2.0' -> '-2' 142 redx142 reduce '1.200' -> '1.2' 143 redx143 reduce '-120' -> '-1.2E+2' 144 redx144 reduce '120.00' -> '1.2E+2' 145 redx145 reduce '0.00' -> '0' 146 147 -- overflow tests 148 maxexponent: 999999999 149 minexponent: -999999999 150 precision: 3 151 redx160 reduce 9.999E+999999999 -> Infinity Inexact Overflow Rounded 152 redx161 reduce -9.999E+999999999 -> -Infinity Inexact Overflow Rounded 153 154 -- subnormals and underflow 155 precision: 3 156 maxexponent: 999 157 minexponent: -999 158 redx210 reduce 1.00E-999 -> 1E-999 159 redx211 reduce 0.1E-999 -> 1E-1000 Subnormal 160 redx212 reduce 0.10E-999 -> 1E-1000 Subnormal 161 redx213 reduce 0.100E-999 -> 1E-1000 Subnormal Rounded 162 redx214 reduce 0.01E-999 -> 1E-1001 Subnormal 163 -- next is rounded to Emin 164 redx215 reduce 0.999E-999 -> 1E-999 Inexact Rounded Subnormal Underflow 165 redx216 reduce 0.099E-999 -> 1E-1000 Inexact Rounded Subnormal Underflow 166 redx217 reduce 0.009E-999 -> 1E-1001 Inexact Rounded Subnormal Underflow 167 redx218 reduce 0.001E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped 168 redx219 reduce 0.0009E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped 169 redx220 reduce 0.0001E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped 170 171 redx230 reduce -1.00E-999 -> -1E-999 172 redx231 reduce -0.1E-999 -> -1E-1000 Subnormal 173 redx232 reduce -0.10E-999 -> -1E-1000 Subnormal 174 redx233 reduce -0.100E-999 -> -1E-1000 Subnormal Rounded 175 redx234 reduce -0.01E-999 -> -1E-1001 Subnormal 176 -- next is rounded to Emin 177 redx235 reduce -0.999E-999 -> -1E-999 Inexact Rounded Subnormal Underflow 178 redx236 reduce -0.099E-999 -> -1E-1000 Inexact Rounded Subnormal Underflow 179 redx237 reduce -0.009E-999 -> -1E-1001 Inexact Rounded Subnormal Underflow 180 redx238 reduce -0.001E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped 181 redx239 reduce -0.0009E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped 182 redx240 reduce -0.0001E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped 183 184 -- more reshaping 185 precision: 9 186 redx260 reduce '56260E-10' -> '0.000005626' 187 redx261 reduce '56260E-5' -> '0.5626' 188 redx262 reduce '56260E-2' -> '562.6' 189 redx263 reduce '56260E-1' -> '5626' 190 redx265 reduce '56260E-0' -> '5.626E+4' 191 redx266 reduce '56260E+0' -> '5.626E+4' 192 redx267 reduce '56260E+1' -> '5.626E+5' 193 redx268 reduce '56260E+2' -> '5.626E+6' 194 redx269 reduce '56260E+3' -> '5.626E+7' 195 redx270 reduce '56260E+4' -> '5.626E+8' 196 redx271 reduce '56260E+5' -> '5.626E+9' 197 redx272 reduce '56260E+6' -> '5.626E+10' 198 redx280 reduce '-56260E-10' -> '-0.000005626' 199 redx281 reduce '-56260E-5' -> '-0.5626' 200 redx282 reduce '-56260E-2' -> '-562.6' 201 redx283 reduce '-56260E-1' -> '-5626' 202 redx285 reduce '-56260E-0' -> '-5.626E+4' 203 redx286 reduce '-56260E+0' -> '-5.626E+4' 204 redx287 reduce '-56260E+1' -> '-5.626E+5' 205 redx288 reduce '-56260E+2' -> '-5.626E+6' 206 redx289 reduce '-56260E+3' -> '-5.626E+7' 207 redx290 reduce '-56260E+4' -> '-5.626E+8' 208 redx291 reduce '-56260E+5' -> '-5.626E+9' 209 redx292 reduce '-56260E+6' -> '-5.626E+10' 210 211 -- FL test 212 precision: 40 213 redx295 reduce 9892345673.0123456780000000000 -> 9892345673.012345678 214 215 -- specials 216 redx820 reduce 'Inf' -> 'Infinity' 217 redx821 reduce '-Inf' -> '-Infinity' 218 redx822 reduce NaN -> NaN 219 redx823 reduce sNaN -> NaN Invalid_operation 220 redx824 reduce NaN101 -> NaN101 221 redx825 reduce sNaN010 -> NaN10 Invalid_operation 222 redx827 reduce -NaN -> -NaN 223 redx828 reduce -sNaN -> -NaN Invalid_operation 224 redx829 reduce -NaN101 -> -NaN101 225 redx830 reduce -sNaN010 -> -NaN10 Invalid_operation 226 227 -- payload decapitate 228 precision: 5 229 redx62100 reduce sNaN1234567890 -> NaN67890 Invalid_operation 230 231 -- Null test 232 redx900 reduce # -> NaN Invalid_operation