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 (a] 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 210
