| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 1 | ------------------------------------------------------------------------ |
| 2 | -- reduce.decTest -- remove trailing zeros -- |
| Benjamin Peterson | f17ff4e | 2008-07-31 16:32:12 +0000 | [diff] [blame] | 3 | -- Copyright (c) IBM Corporation, 2003, 2008. All rights reserved. -- |
| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 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@uk.ibm.com -- |
| 19 | ------------------------------------------------------------------------ |
| 20 | -- [This used to be called normalize.] |
| 21 | |
| Mark Dickinson | 8a54653 | 2009-10-08 16:30:38 +0000 | [diff] [blame] | 22 | version: 2.59 |
| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 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 |