| Georg Brandl | faa9ad2 | 2011-03-05 15:06:13 +0100 | [diff] [blame^] | 1 | ------------------------------------------------------------------------ |
| 2 | -- scaleb.decTest -- scale a number by powers of 10 -- |
| 3 | -- Copyright (c) IBM Corporation, 1981, 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@uk.ibm.com -- |
| 19 | ------------------------------------------------------------------------ |
| 20 | version: 2.59 |
| 21 | |
| 22 | extended: 1 |
| 23 | precision: 9 |
| 24 | rounding: half_up |
| 25 | maxExponent: 999 |
| 26 | minExponent: -999 |
| 27 | |
| 28 | -- Max |rhs| is 2*(999+9) = 2016 |
| 29 | |
| 30 | -- Sanity checks |
| 31 | scbx001 scaleb 7.50 10 -> 7.50E+10 |
| 32 | scbx002 scaleb 7.50 3 -> 7.50E+3 |
| 33 | scbx003 scaleb 7.50 2 -> 750 |
| 34 | scbx004 scaleb 7.50 1 -> 75.0 |
| 35 | scbx005 scaleb 7.50 0 -> 7.50 |
| 36 | scbx006 scaleb 7.50 -1 -> 0.750 |
| 37 | scbx007 scaleb 7.50 -2 -> 0.0750 |
| 38 | scbx008 scaleb 7.50 -10 -> 7.50E-10 |
| 39 | scbx009 scaleb -7.50 3 -> -7.50E+3 |
| 40 | scbx010 scaleb -7.50 2 -> -750 |
| 41 | scbx011 scaleb -7.50 1 -> -75.0 |
| 42 | scbx012 scaleb -7.50 0 -> -7.50 |
| 43 | scbx013 scaleb -7.50 -1 -> -0.750 |
| 44 | |
| 45 | -- Infinities |
| 46 | scbx014 scaleb Infinity 1 -> Infinity |
| 47 | scbx015 scaleb -Infinity 2 -> -Infinity |
| 48 | scbx016 scaleb Infinity -1 -> Infinity |
| 49 | scbx017 scaleb -Infinity -2 -> -Infinity |
| 50 | |
| 51 | -- Next two are somewhat undefined in 754r; treat as non-integer |
| 52 | scbx018 scaleb 10 Infinity -> NaN Invalid_operation |
| 53 | scbx019 scaleb 10 -Infinity -> NaN Invalid_operation |
| 54 | |
| 55 | -- NaNs are undefined in 754r; assume usual processing |
| 56 | -- NaNs, 0 payload |
| 57 | scbx021 scaleb NaN 1 -> NaN |
| 58 | scbx022 scaleb -NaN -1 -> -NaN |
| 59 | scbx023 scaleb sNaN 1 -> NaN Invalid_operation |
| 60 | scbx024 scaleb -sNaN 1 -> -NaN Invalid_operation |
| 61 | scbx025 scaleb 4 NaN -> NaN |
| 62 | scbx026 scaleb -Inf -NaN -> -NaN |
| 63 | scbx027 scaleb 4 sNaN -> NaN Invalid_operation |
| 64 | scbx028 scaleb Inf -sNaN -> -NaN Invalid_operation |
| 65 | |
| 66 | -- non-integer RHS |
| 67 | scbx030 scaleb 1.23 1 -> 12.3 |
| 68 | scbx031 scaleb 1.23 1.00 -> NaN Invalid_operation |
| 69 | scbx032 scaleb 1.23 1.1 -> NaN Invalid_operation |
| 70 | scbx033 scaleb 1.23 1.01 -> NaN Invalid_operation |
| 71 | scbx034 scaleb 1.23 0.01 -> NaN Invalid_operation |
| 72 | scbx035 scaleb 1.23 0.11 -> NaN Invalid_operation |
| 73 | scbx036 scaleb 1.23 0.999999999 -> NaN Invalid_operation |
| 74 | scbx037 scaleb 1.23 -1 -> 0.123 |
| 75 | scbx038 scaleb 1.23 -1.00 -> NaN Invalid_operation |
| 76 | scbx039 scaleb 1.23 -1.1 -> NaN Invalid_operation |
| 77 | scbx040 scaleb 1.23 -1.01 -> NaN Invalid_operation |
| 78 | scbx041 scaleb 1.23 -0.01 -> NaN Invalid_operation |
| 79 | scbx042 scaleb 1.23 -0.11 -> NaN Invalid_operation |
| 80 | scbx043 scaleb 1.23 -0.999999999 -> NaN Invalid_operation |
| 81 | scbx044 scaleb 1.23 0.1 -> NaN Invalid_operation |
| 82 | scbx045 scaleb 1.23 1E+1 -> NaN Invalid_operation |
| 83 | scbx046 scaleb 1.23 1.1234E+6 -> NaN Invalid_operation |
| 84 | scbx047 scaleb 1.23 1.123E+4 -> NaN Invalid_operation |
| 85 | |
| 86 | |
| 87 | scbx120 scaleb 1.23 2015 -> Infinity Overflow Inexact Rounded |
| 88 | scbx121 scaleb 1.23 2016 -> Infinity Overflow Inexact Rounded |
| 89 | scbx122 scaleb 1.23 2017 -> NaN Invalid_operation |
| 90 | scbx123 scaleb 1.23 2018 -> NaN Invalid_operation |
| 91 | scbx124 scaleb 1.23 -2015 -> 0E-1007 Underflow Subnormal Inexact Rounded Clamped |
| 92 | scbx125 scaleb 1.23 -2016 -> 0E-1007 Underflow Subnormal Inexact Rounded Clamped |
| 93 | scbx126 scaleb 1.23 -2017 -> NaN Invalid_operation |
| 94 | scbx127 scaleb 1.23 -2018 -> NaN Invalid_operation |
| 95 | |
| 96 | -- NaNs, non-0 payload |
| 97 | -- propagating NaNs |
| 98 | scbx861 scaleb NaN01 -Inf -> NaN1 |
| 99 | scbx862 scaleb -NaN02 -1000 -> -NaN2 |
| 100 | scbx863 scaleb NaN03 1000 -> NaN3 |
| 101 | scbx864 scaleb NaN04 Inf -> NaN4 |
| 102 | scbx865 scaleb NaN05 NaN61 -> NaN5 |
| 103 | scbx866 scaleb -Inf -NaN71 -> -NaN71 |
| 104 | scbx867 scaleb -1000 NaN81 -> NaN81 |
| 105 | scbx868 scaleb 1000 NaN91 -> NaN91 |
| 106 | scbx869 scaleb Inf NaN101 -> NaN101 |
| 107 | scbx871 scaleb sNaN011 -Inf -> NaN11 Invalid_operation |
| 108 | scbx872 scaleb sNaN012 -1000 -> NaN12 Invalid_operation |
| 109 | scbx873 scaleb -sNaN013 1000 -> -NaN13 Invalid_operation |
| 110 | scbx874 scaleb sNaN014 NaN171 -> NaN14 Invalid_operation |
| 111 | scbx875 scaleb sNaN015 sNaN181 -> NaN15 Invalid_operation |
| 112 | scbx876 scaleb NaN016 sNaN191 -> NaN191 Invalid_operation |
| 113 | scbx877 scaleb -Inf sNaN201 -> NaN201 Invalid_operation |
| 114 | scbx878 scaleb -1000 sNaN211 -> NaN211 Invalid_operation |
| 115 | scbx879 scaleb 1000 -sNaN221 -> -NaN221 Invalid_operation |
| 116 | scbx880 scaleb Inf sNaN231 -> NaN231 Invalid_operation |
| 117 | scbx881 scaleb NaN025 sNaN241 -> NaN241 Invalid_operation |
| 118 | |
| 119 | -- finites |
| 120 | scbx051 scaleb 7 -2 -> 0.07 |
| 121 | scbx052 scaleb -7 -2 -> -0.07 |
| 122 | scbx053 scaleb 75 -2 -> 0.75 |
| 123 | scbx054 scaleb -75 -2 -> -0.75 |
| 124 | scbx055 scaleb 7.50 -2 -> 0.0750 |
| 125 | scbx056 scaleb -7.50 -2 -> -0.0750 |
| 126 | scbx057 scaleb 7.500 -2 -> 0.07500 |
| 127 | scbx058 scaleb -7.500 -2 -> -0.07500 |
| 128 | scbx061 scaleb 7 -1 -> 0.7 |
| 129 | scbx062 scaleb -7 -1 -> -0.7 |
| 130 | scbx063 scaleb 75 -1 -> 7.5 |
| 131 | scbx064 scaleb -75 -1 -> -7.5 |
| 132 | scbx065 scaleb 7.50 -1 -> 0.750 |
| 133 | scbx066 scaleb -7.50 -1 -> -0.750 |
| 134 | scbx067 scaleb 7.500 -1 -> 0.7500 |
| 135 | scbx068 scaleb -7.500 -1 -> -0.7500 |
| 136 | scbx071 scaleb 7 0 -> 7 |
| 137 | scbx072 scaleb -7 0 -> -7 |
| 138 | scbx073 scaleb 75 0 -> 75 |
| 139 | scbx074 scaleb -75 0 -> -75 |
| 140 | scbx075 scaleb 7.50 0 -> 7.50 |
| 141 | scbx076 scaleb -7.50 0 -> -7.50 |
| 142 | scbx077 scaleb 7.500 0 -> 7.500 |
| 143 | scbx078 scaleb -7.500 0 -> -7.500 |
| 144 | scbx081 scaleb 7 1 -> 7E+1 |
| 145 | scbx082 scaleb -7 1 -> -7E+1 |
| 146 | scbx083 scaleb 75 1 -> 7.5E+2 |
| 147 | scbx084 scaleb -75 1 -> -7.5E+2 |
| 148 | scbx085 scaleb 7.50 1 -> 75.0 |
| 149 | scbx086 scaleb -7.50 1 -> -75.0 |
| 150 | scbx087 scaleb 7.500 1 -> 75.00 |
| 151 | scbx088 scaleb -7.500 1 -> -75.00 |
| 152 | scbx091 scaleb 7 2 -> 7E+2 |
| 153 | scbx092 scaleb -7 2 -> -7E+2 |
| 154 | scbx093 scaleb 75 2 -> 7.5E+3 |
| 155 | scbx094 scaleb -75 2 -> -7.5E+3 |
| 156 | scbx095 scaleb 7.50 2 -> 750 |
| 157 | scbx096 scaleb -7.50 2 -> -750 |
| 158 | scbx097 scaleb 7.500 2 -> 750.0 |
| 159 | scbx098 scaleb -7.500 2 -> -750.0 |
| 160 | |
| 161 | -- zeros |
| 162 | scbx111 scaleb 0 1 -> 0E+1 |
| 163 | scbx112 scaleb -0 2 -> -0E+2 |
| 164 | scbx113 scaleb 0E+4 3 -> 0E+7 |
| 165 | scbx114 scaleb -0E+4 4 -> -0E+8 |
| 166 | scbx115 scaleb 0.0000 5 -> 0E+1 |
| 167 | scbx116 scaleb -0.0000 6 -> -0E+2 |
| 168 | scbx117 scaleb 0E-141 7 -> 0E-134 |
| 169 | scbx118 scaleb -0E-141 8 -> -0E-133 |
| 170 | |
| 171 | -- Nmax, Nmin, Ntiny |
| 172 | scbx132 scaleb 9.99999999E+999 +999 -> Infinity Overflow Inexact Rounded |
| 173 | scbx133 scaleb 9.99999999E+999 +10 -> Infinity Overflow Inexact Rounded |
| 174 | scbx134 scaleb 9.99999999E+999 +1 -> Infinity Overflow Inexact Rounded |
| 175 | scbx135 scaleb 9.99999999E+999 0 -> 9.99999999E+999 |
| 176 | scbx136 scaleb 9.99999999E+999 -1 -> 9.99999999E+998 |
| 177 | scbx137 scaleb 1E-999 +1 -> 1E-998 |
| 178 | scbx138 scaleb 1E-999 -0 -> 1E-999 |
| 179 | scbx139 scaleb 1E-999 -1 -> 1E-1000 Subnormal |
| 180 | scbx140 scaleb 1.00000000E-999 +1 -> 1.00000000E-998 |
| 181 | scbx141 scaleb 1.00000000E-999 0 -> 1.00000000E-999 |
| 182 | scbx142 scaleb 1.00000000E-999 -1 -> 1.0000000E-1000 Subnormal Rounded |
| 183 | scbx143 scaleb 1E-1007 +1 -> 1E-1006 Subnormal |
| 184 | scbx144 scaleb 1E-1007 -0 -> 1E-1007 Subnormal |
| 185 | scbx145 scaleb 1E-1007 -1 -> 0E-1007 Underflow Subnormal Inexact Rounded Clamped |
| 186 | |
| 187 | scbx150 scaleb -1E-1007 +1 -> -1E-1006 Subnormal |
| 188 | scbx151 scaleb -1E-1007 -0 -> -1E-1007 Subnormal |
| 189 | scbx152 scaleb -1E-1007 -1 -> -0E-1007 Underflow Subnormal Inexact Rounded Clamped |
| 190 | scbx153 scaleb -1.00000000E-999 +1 -> -1.00000000E-998 |
| 191 | scbx154 scaleb -1.00000000E-999 +0 -> -1.00000000E-999 |
| 192 | scbx155 scaleb -1.00000000E-999 -1 -> -1.0000000E-1000 Subnormal Rounded |
| 193 | scbx156 scaleb -1E-999 +1 -> -1E-998 |
| 194 | scbx157 scaleb -1E-999 -0 -> -1E-999 |
| 195 | scbx158 scaleb -1E-999 -1 -> -1E-1000 Subnormal |
| 196 | scbx159 scaleb -9.99999999E+999 +1 -> -Infinity Overflow Inexact Rounded |
| 197 | scbx160 scaleb -9.99999999E+999 +0 -> -9.99999999E+999 |
| 198 | scbx161 scaleb -9.99999999E+999 -1 -> -9.99999999E+998 |
| 199 | scbx162 scaleb -9E+999 +1 -> -Infinity Overflow Inexact Rounded |
| 200 | scbx163 scaleb -1E+999 +1 -> -Infinity Overflow Inexact Rounded |
| 201 | |
| 202 | -- Krah examples |
| 203 | precision: 34 |
| 204 | maxExponent: 999999999 |
| 205 | minExponent: -999999999 |
| 206 | -- integer overflow in 3.61 or earlier |
| 207 | scbx164 scaleb 1E-999999999 -1200000000 -> NaN Invalid_operation |
| 208 | -- out of range |
| 209 | scbx165 scaleb -1E-999999999 +1200000000 -> NaN Invalid_operation |