1 ------------------------------------------------------------------------ 2 -- reduce.decTest -- remove trailing zeros -- 3 -- Copyright (c) IBM Corporation, 2003, 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 -- [This used to be called normalize.] 21 22 version: 2.59 23 24 extended: 1 25 precision: 9 26 rounding: half_up 27 maxExponent: 999 28 minexponent: -999 29 30 redx001 reduce '1' -> '1' 31 redx002 reduce '-1' -> '-1' 32 redx003 reduce '1.00' -> '1' 33 redx004 reduce '-1.00' -> '-1' 34 redx005 reduce '0' -> '0' 35 redx006 reduce '0.00' -> '0' 36 redx007 reduce '00.0' -> '0' 37 redx008 reduce '00.00' -> '0' 38 redx009 reduce '00' -> '0' 39 redx010 reduce '0E+1' -> '0' 40 redx011 reduce '0E+5' -> '0' 41 42 redx012 reduce '-2' -> '-2' 43 redx013 reduce '2' -> '2' 44 redx014 reduce '-2.00' -> '-2' 45 redx015 reduce '2.00' -> '2' 46 redx016 reduce '-0' -> '-0' 47 redx017 reduce '-0.00' -> '-0' 48 redx018 reduce '-00.0' -> '-0' 49 redx019 reduce '-00.00' -> '-0' 50 redx020 reduce '-00' -> '-0' 51 redx021 reduce '-0E+5' -> '-0' 52 redx022 reduce '-0E+1' -> '-0' 53 54 redx030 reduce '+0.1' -> '0.1' 55 redx031 reduce '-0.1' -> '-0.1' 56 redx032 reduce '+0.01' -> '0.01' 57 redx033 reduce '-0.01' -> '-0.01' 58 redx034 reduce '+0.001' -> '0.001' 59 redx035 reduce '-0.001' -> '-0.001' 60 redx036 reduce '+0.000001' -> '0.000001' 61 redx037 reduce '-0.000001' -> '-0.000001' 62 redx038 reduce '+0.000000000001' -> '1E-12' 63 redx039 reduce '-0.000000000001' -> '-1E-12' 64 65 redx041 reduce 1.1 -> 1.1 66 redx042 reduce 1.10 -> 1.1 67 redx043 reduce 1.100 -> 1.1 68 redx044 reduce 1.110 -> 1.11 69 redx045 reduce -1.1 -> -1.1 70 redx046 reduce -1.10 -> -1.1 71 redx047 reduce -1.100 -> -1.1 72 redx048 reduce -1.110 -> -1.11 73 redx049 reduce 9.9 -> 9.9 74 redx050 reduce 9.90 -> 9.9 75 redx051 reduce 9.900 -> 9.9 76 redx052 reduce 9.990 -> 9.99 77 redx053 reduce -9.9 -> -9.9 78 redx054 reduce -9.90 -> -9.9 79 redx055 reduce -9.900 -> -9.9 80 redx056 reduce -9.990 -> -9.99 81 82 -- some trailing fractional zeros with zeros in units 83 redx060 reduce 10.0 -> 1E+1 84 redx061 reduce 10.00 -> 1E+1 85 redx062 reduce 100.0 -> 1E+2 86 redx063 reduce 100.00 -> 1E+2 87 redx064 reduce 1.1000E+3 -> 1.1E+3 88 redx065 reduce 1.10000E+3 -> 1.1E+3 89 redx066 reduce -10.0 -> -1E+1 90 redx067 reduce -10.00 -> -1E+1 91 redx068 reduce -100.0 -> -1E+2 92 redx069 reduce -100.00 -> -1E+2 93 redx070 reduce -1.1000E+3 -> -1.1E+3 94 redx071 reduce -1.10000E+3 -> -1.1E+3 95 96 -- some insignificant trailing zeros with positive exponent 97 redx080 reduce 10E+1 -> 1E+2 98 redx081 reduce 100E+1 -> 1E+3 99 redx082 reduce 1.0E+2 -> 1E+2 100 redx083 reduce 1.0E+3 -> 1E+3 101 redx084 reduce 1.1E+3 -> 1.1E+3 102 redx085 reduce 1.00E+3 -> 1E+3 103 redx086 reduce 1.10E+3 -> 1.1E+3 104 redx087 reduce -10E+1 -> -1E+2 105 redx088 reduce -100E+1 -> -1E+3 106 redx089 reduce -1.0E+2 -> -1E+2 107 redx090 reduce -1.0E+3 -> -1E+3 108 redx091 reduce -1.1E+3 -> -1.1E+3 109 redx092 reduce -1.00E+3 -> -1E+3 110 redx093 reduce -1.10E+3 -> -1.1E+3 111 112 -- some significant trailing zeros, were we to be trimming 113 redx100 reduce 11 -> 11 114 redx101 reduce 10 -> 1E+1 115 redx102 reduce 10. -> 1E+1 116 redx103 reduce 1.1E+1 -> 11 117 redx104 reduce 1.0E+1 -> 1E+1 118 redx105 reduce 1.10E+2 -> 1.1E+2 119 redx106 reduce 1.00E+2 -> 1E+2 120 redx107 reduce 1.100E+3 -> 1.1E+3 121 redx108 reduce 1.000E+3 -> 1E+3 122 redx109 reduce 1.000000E+6 -> 1E+6 123 redx110 reduce -11 -> -11 124 redx111 reduce -10 -> -1E+1 125 redx112 reduce -10. -> -1E+1 126 redx113 reduce -1.1E+1 -> -11 127 redx114 reduce -1.0E+1 -> -1E+1 128 redx115 reduce -1.10E+2 -> -1.1E+2 129 redx116 reduce -1.00E+2 -> -1E+2 130 redx117 reduce -1.100E+3 -> -1.1E+3 131 redx118 reduce -1.000E+3 -> -1E+3 132 redx119 reduce -1.00000E+5 -> -1E+5 133 redx120 reduce -1.000000E+6 -> -1E+6 134 redx121 reduce -10.00000E+6 -> -1E+7 135 redx122 reduce -100.0000E+6 -> -1E+8 136 redx123 reduce -1000.000E+6 -> -1E+9 137 redx124 reduce -10000.00E+6 -> -1E+10 138 redx125 reduce -100000.0E+6 -> -1E+11 139 redx126 reduce -1000000.E+6 -> -1E+12 140 141 -- examples from decArith 142 redx140 reduce '2.1' -> '2.1' 143 redx141 reduce '-2.0' -> '-2' 144 redx142 reduce '1.200' -> '1.2' 145 redx143 reduce '-120' -> '-1.2E+2' 146 redx144 reduce '120.00' -> '1.2E+2' 147 redx145 reduce '0.00' -> '0' 148 149 -- overflow tests 150 maxexponent: 999999999 151 minexponent: -999999999 152 precision: 3 153 redx160 reduce 9.999E+999999999 -> Infinity Inexact Overflow Rounded 154 redx161 reduce -9.999E+999999999 -> -Infinity Inexact Overflow Rounded 155 156 -- subnormals and underflow 157 precision: 3 158 maxexponent: 999 159 minexponent: -999 160 redx210 reduce 1.00E-999 -> 1E-999 161 redx211 reduce 0.1E-999 -> 1E-1000 Subnormal 162 redx212 reduce 0.10E-999 -> 1E-1000 Subnormal 163 redx213 reduce 0.100E-999 -> 1E-1000 Subnormal Rounded 164 redx214 reduce 0.01E-999 -> 1E-1001 Subnormal 165 -- next is rounded to Emin 166 redx215 reduce 0.999E-999 -> 1E-999 Inexact Rounded Subnormal Underflow 167 redx216 reduce 0.099E-999 -> 1E-1000 Inexact Rounded Subnormal Underflow 168 redx217 reduce 0.009E-999 -> 1E-1001 Inexact Rounded Subnormal Underflow 169 redx218 reduce 0.001E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped 170 redx219 reduce 0.0009E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped 171 redx220 reduce 0.0001E-999 -> 0 Inexact Rounded Subnormal Underflow Clamped 172 173 redx230 reduce -1.00E-999 -> -1E-999 174 redx231 reduce -0.1E-999 -> -1E-1000 Subnormal 175 redx232 reduce -0.10E-999 -> -1E-1000 Subnormal 176 redx233 reduce -0.100E-999 -> -1E-1000 Subnormal Rounded 177 redx234 reduce -0.01E-999 -> -1E-1001 Subnormal 178 -- next is rounded to Emin 179 redx235 reduce -0.999E-999 -> -1E-999 Inexact Rounded Subnormal Underflow 180 redx236 reduce -0.099E-999 -> -1E-1000 Inexact Rounded Subnormal Underflow 181 redx237 reduce -0.009E-999 -> -1E-1001 Inexact Rounded Subnormal Underflow 182 redx238 reduce -0.001E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped 183 redx239 reduce -0.0009E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped 184 redx240 reduce -0.0001E-999 -> -0 Inexact Rounded Subnormal Underflow Clamped 185 186 -- more reshaping 187 precision: 9 188 redx260 reduce '56260E-10' -> '0.000005626' 189 redx261 reduce '56260E-5' -> '0.5626' 190 redx262 reduce '56260E-2' -> '562.6' 191 redx263 reduce '56260E-1' -> '5626' 192 redx265 reduce '56260E-0' -> '5.626E+4' 193 redx266 reduce '56260E+0' -> '5.626E+4' 194 redx267 reduce '56260E+1' -> '5.626E+5' 195 redx268 reduce '56260E+2' -> '5.626E+6' 196 redx269 reduce '56260E+3' -> '5.626E+7' 197 redx270 reduce '56260E+4' -> '5.626E+8' 198 redx271 reduce '56260E+5' -> '5.626E+9' 199 redx272 reduce '56260E+6' -> '5.626E+10' 200 redx280 reduce '-56260E-10' -> '-0.000005626' 201 redx281 reduce '-56260E-5' -> '-0.5626' 202 redx282 reduce '-56260E-2' -> '-562.6' 203 redx283 reduce '-56260E-1' -> '-5626' 204 redx285 reduce '-56260E-0' -> '-5.626E+4' 205 redx286 reduce '-56260E+0' -> '-5.626E+4' 206 redx287 reduce '-56260E+1' -> '-5.626E+5' 207 redx288 reduce '-56260E+2' -> '-5.626E+6' 208 redx289 reduce '-56260E+3' -> '-5.626E+7' 209 redx290 reduce '-56260E+4' -> '-5.626E+8' 210 redx291 reduce '-56260E+5' -> '-5.626E+9' 211 redx292 reduce '-56260E+6' -> '-5.626E+10' 212 213 -- FL test 214 precision: 40 215 redx295 reduce 9892345673.0123456780000000000 -> 9892345673.012345678 216 217 -- specials 218 redx820 reduce 'Inf' -> 'Infinity' 219 redx821 reduce '-Inf' -> '-Infinity' 220 redx822 reduce NaN -> NaN 221 redx823 reduce sNaN -> NaN Invalid_operation 222 redx824 reduce NaN101 -> NaN101 223 redx825 reduce sNaN010 -> NaN10 Invalid_operation 224 redx827 reduce -NaN -> -NaN 225 redx828 reduce -sNaN -> -NaN Invalid_operation 226 redx829 reduce -NaN101 -> -NaN101 227 redx830 reduce -sNaN010 -> -NaN10 Invalid_operation 228 229 -- payload decapitate 230 precision: 5 231 redx62100 reduce sNaN1234567890 -> NaN67890 Invalid_operation 232 233 -- Null test 234 redx900 reduce # -> NaN Invalid_operation 235
