1------------------------------------------------------------------------ 2-- dqScalebB.decTest -- scale a decQuad 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------------------------------------------------------------------------ 20version: 2.59 21 22extended: 1 23clamp: 1 24precision: 34 25maxExponent: 6144 26minExponent: -6143 27rounding: half_even 28 29-- Max |rhs| is 2*(6144+34) = 12356 30 31-- Sanity checks 32dqscb001 scaleb 7.50 10 -> 7.50E+10 33dqscb002 scaleb 7.50 3 -> 7.50E+3 34dqscb003 scaleb 7.50 2 -> 750 35dqscb004 scaleb 7.50 1 -> 75.0 36dqscb005 scaleb 7.50 0 -> 7.50 37dqscb006 scaleb 7.50 -1 -> 0.750 38dqscb007 scaleb 7.50 -2 -> 0.0750 39dqscb008 scaleb 7.50 -10 -> 7.50E-10 40dqscb009 scaleb -7.50 3 -> -7.50E+3 41dqscb010 scaleb -7.50 2 -> -750 42dqscb011 scaleb -7.50 1 -> -75.0 43dqscb012 scaleb -7.50 0 -> -7.50 44dqscb013 scaleb -7.50 -1 -> -0.750 45 46-- Infinities 47dqscb014 scaleb Infinity 1 -> Infinity 48dqscb015 scaleb -Infinity 2 -> -Infinity 49dqscb016 scaleb Infinity -1 -> Infinity 50dqscb017 scaleb -Infinity -2 -> -Infinity 51 52-- Next two are somewhat undefined in 754r; treat as non-integer 53dqscb018 scaleb 10 Infinity -> NaN Invalid_operation 54dqscb019 scaleb 10 -Infinity -> NaN Invalid_operation 55 56-- NaNs are undefined in 754r; assume usual processing 57-- NaNs, 0 payload 58dqscb021 scaleb NaN 1 -> NaN 59dqscb022 scaleb -NaN -1 -> -NaN 60dqscb023 scaleb sNaN 1 -> NaN Invalid_operation 61dqscb024 scaleb -sNaN 1 -> -NaN Invalid_operation 62dqscb025 scaleb 4 NaN -> NaN 63dqscb026 scaleb -Inf -NaN -> -NaN 64dqscb027 scaleb 4 sNaN -> NaN Invalid_operation 65dqscb028 scaleb Inf -sNaN -> -NaN Invalid_operation 66 67-- non-integer RHS 68dqscb030 scaleb 1.23 1 -> 12.3 69dqscb031 scaleb 1.23 1.00 -> NaN Invalid_operation 70dqscb032 scaleb 1.23 1.1 -> NaN Invalid_operation 71dqscb033 scaleb 1.23 1.01 -> NaN Invalid_operation 72dqscb034 scaleb 1.23 0.01 -> NaN Invalid_operation 73dqscb035 scaleb 1.23 0.11 -> NaN Invalid_operation 74dqscb036 scaleb 1.23 0.999999999 -> NaN Invalid_operation 75dqscb037 scaleb 1.23 -1 -> 0.123 76dqscb0614 scaleb 1.23 -1.00 -> NaN Invalid_operation 77dqscb039 scaleb 1.23 -1.1 -> NaN Invalid_operation 78dqscb040 scaleb 1.23 -1.01 -> NaN Invalid_operation 79dqscb041 scaleb 1.23 -0.01 -> NaN Invalid_operation 80dqscb042 scaleb 1.23 -0.11 -> NaN Invalid_operation 81dqscb043 scaleb 1.23 -0.999999999 -> NaN Invalid_operation 82dqscb044 scaleb 1.23 0.1 -> NaN Invalid_operation 83dqscb045 scaleb 1.23 1E+1 -> NaN Invalid_operation 84dqscb046 scaleb 1.23 1.1234E+6 -> NaN Invalid_operation 85dqscb047 scaleb 1.23 1.123E+4 -> NaN Invalid_operation 86 87-- out-of range RHS 88dqscb120 scaleb 1.23 12355 -> Infinity Overflow Inexact Rounded 89dqscb121 scaleb 1.23 12356 -> Infinity Overflow Inexact Rounded 90dqscb122 scaleb 1.23 12357 -> NaN Invalid_operation 91dqscb123 scaleb 1.23 12358 -> NaN Invalid_operation 92dqscb124 scaleb 1.23 -12355 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 93dqscb125 scaleb 1.23 -12356 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 94dqscb126 scaleb 1.23 -12357 -> NaN Invalid_operation 95dqscb127 scaleb 1.23 -12358 -> NaN Invalid_operation 96 97-- NaNs, non-0 payload 98-- propagating NaNs 99dqscb861 scaleb NaN01 -Inf -> NaN1 100dqscb862 scaleb -NaN02 -1000 -> -NaN2 101dqscb863 scaleb NaN03 1000 -> NaN3 102dqscb864 scaleb NaN04 Inf -> NaN4 103dqscb865 scaleb NaN05 NaN61 -> NaN5 104dqscb866 scaleb -Inf -NaN71 -> -NaN71 105dqscb867 scaleb -1000 NaN81 -> NaN81 106dqscb868 scaleb 1000 NaN91 -> NaN91 107dqscb869 scaleb Inf NaN101 -> NaN101 108dqscb871 scaleb sNaN011 -Inf -> NaN11 Invalid_operation 109dqscb872 scaleb sNaN012 -1000 -> NaN12 Invalid_operation 110dqscb873 scaleb -sNaN013 1000 -> -NaN13 Invalid_operation 111dqscb874 scaleb sNaN014 NaN171 -> NaN14 Invalid_operation 112dqscb875 scaleb sNaN015 sNaN181 -> NaN15 Invalid_operation 113dqscb876 scaleb NaN016 sNaN191 -> NaN191 Invalid_operation 114dqscb877 scaleb -Inf sNaN201 -> NaN201 Invalid_operation 115dqscb878 scaleb -1000 sNaN211 -> NaN211 Invalid_operation 116dqscb879 scaleb 1000 -sNaN221 -> -NaN221 Invalid_operation 117dqscb880 scaleb Inf sNaN231 -> NaN231 Invalid_operation 118dqscb881 scaleb NaN025 sNaN241 -> NaN241 Invalid_operation 119 120-- finites 121dqscb051 scaleb 7 -2 -> 0.07 122dqscb052 scaleb -7 -2 -> -0.07 123dqscb053 scaleb 75 -2 -> 0.75 124dqscb054 scaleb -75 -2 -> -0.75 125dqscb055 scaleb 7.50 -2 -> 0.0750 126dqscb056 scaleb -7.50 -2 -> -0.0750 127dqscb057 scaleb 7.500 -2 -> 0.07500 128dqscb058 scaleb -7.500 -2 -> -0.07500 129dqscb061 scaleb 7 -1 -> 0.7 130dqscb062 scaleb -7 -1 -> -0.7 131dqscb063 scaleb 75 -1 -> 7.5 132dqscb064 scaleb -75 -1 -> -7.5 133dqscb065 scaleb 7.50 -1 -> 0.750 134dqscb066 scaleb -7.50 -1 -> -0.750 135dqscb067 scaleb 7.500 -1 -> 0.7500 136dqscb068 scaleb -7.500 -1 -> -0.7500 137dqscb071 scaleb 7 0 -> 7 138dqscb072 scaleb -7 0 -> -7 139dqscb073 scaleb 75 0 -> 75 140dqscb074 scaleb -75 0 -> -75 141dqscb075 scaleb 7.50 0 -> 7.50 142dqscb076 scaleb -7.50 0 -> -7.50 143dqscb077 scaleb 7.500 0 -> 7.500 144dqscb078 scaleb -7.500 0 -> -7.500 145dqscb081 scaleb 7 1 -> 7E+1 146dqscb082 scaleb -7 1 -> -7E+1 147dqscb083 scaleb 75 1 -> 7.5E+2 148dqscb084 scaleb -75 1 -> -7.5E+2 149dqscb085 scaleb 7.50 1 -> 75.0 150dqscb086 scaleb -7.50 1 -> -75.0 151dqscb087 scaleb 7.500 1 -> 75.00 152dqscb088 scaleb -7.500 1 -> -75.00 153dqscb091 scaleb 7 2 -> 7E+2 154dqscb092 scaleb -7 2 -> -7E+2 155dqscb093 scaleb 75 2 -> 7.5E+3 156dqscb094 scaleb -75 2 -> -7.5E+3 157dqscb095 scaleb 7.50 2 -> 750 158dqscb096 scaleb -7.50 2 -> -750 159dqscb097 scaleb 7.500 2 -> 750.0 160dqscb098 scaleb -7.500 2 -> -750.0 161 162-- zeros 163dqscb111 scaleb 0 1 -> 0E+1 164dqscb112 scaleb -0 2 -> -0E+2 165dqscb113 scaleb 0E+4 3 -> 0E+7 166dqscb114 scaleb -0E+4 4 -> -0E+8 167dqscb115 scaleb 0.0000 5 -> 0E+1 168dqscb116 scaleb -0.0000 6 -> -0E+2 169dqscb117 scaleb 0E-141 7 -> 0E-134 170dqscb118 scaleb -0E-141 8 -> -0E-133 171 172-- Nmax, Nmin, Ntiny 173dqscb132 scaleb 9.999999999999999999999999999999999E+6144 +6144 -> Infinity Overflow Inexact Rounded 174dqscb133 scaleb 9.999999999999999999999999999999999E+6144 +10 -> Infinity Overflow Inexact Rounded 175dqscb134 scaleb 9.999999999999999999999999999999999E+6144 +1 -> Infinity Overflow Inexact Rounded 176dqscb135 scaleb 9.999999999999999999999999999999999E+6144 0 -> 9.999999999999999999999999999999999E+6144 177dqscb136 scaleb 9.999999999999999999999999999999999E+6144 -1 -> 9.999999999999999999999999999999999E+6143 178dqscb137 scaleb 1E-6143 +1 -> 1E-6142 179dqscb1614 scaleb 1E-6143 -0 -> 1E-6143 180dqscb139 scaleb 1E-6143 -1 -> 1E-6144 Subnormal 181dqscb140 scaleb 1.000000000000000000000000000000000E-6143 +1 -> 1.000000000000000000000000000000000E-6142 182dqscb141 scaleb 1.000000000000000000000000000000000E-6143 0 -> 1.000000000000000000000000000000000E-6143 183dqscb142 scaleb 1.000000000000000000000000000000000E-6143 -1 -> 1.00000000000000000000000000000000E-6144 Subnormal Rounded 184dqscb143 scaleb 1E-6176 +1 -> 1E-6175 Subnormal 185dqscb144 scaleb 1E-6176 -0 -> 1E-6176 Subnormal 186dqscb145 scaleb 1E-6176 -1 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 187 188dqscb150 scaleb -1E-6176 +1 -> -1E-6175 Subnormal 189dqscb151 scaleb -1E-6176 -0 -> -1E-6176 Subnormal 190dqscb152 scaleb -1E-6176 -1 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped 191dqscb153 scaleb -1.000000000000000000000000000000000E-6143 +1 -> -1.000000000000000000000000000000000E-6142 192dqscb154 scaleb -1.000000000000000000000000000000000E-6143 +0 -> -1.000000000000000000000000000000000E-6143 193dqscb155 scaleb -1.000000000000000000000000000000000E-6143 -1 -> -1.00000000000000000000000000000000E-6144 Subnormal Rounded 194dqscb156 scaleb -1E-6143 +1 -> -1E-6142 195dqscb157 scaleb -1E-6143 -0 -> -1E-6143 196dqscb158 scaleb -1E-6143 -1 -> -1E-6144 Subnormal 197dqscb159 scaleb -9.999999999999999999999999999999999E+6144 +1 -> -Infinity Overflow Inexact Rounded 198dqscb160 scaleb -9.999999999999999999999999999999999E+6144 +0 -> -9.999999999999999999999999999999999E+6144 199dqscb161 scaleb -9.999999999999999999999999999999999E+6144 -1 -> -9.999999999999999999999999999999999E+6143 200dqscb162 scaleb -9E+6144 +1 -> -Infinity Overflow Inexact Rounded 201dqscb163 scaleb -1E+6144 +1 -> -Infinity Overflow Inexact Rounded 202 203-- some Origami 204-- (these check that overflow is being done correctly) 205dqscb171 scaleb 1000E+6109 +1 -> 1.000E+6113 206dqscb172 scaleb 1000E+6110 +1 -> 1.000E+6114 207dqscb173 scaleb 1000E+6111 +1 -> 1.0000E+6115 Clamped 208dqscb174 scaleb 1000E+6112 +1 -> 1.00000E+6116 Clamped 209dqscb175 scaleb 1000E+6113 +1 -> 1.000000E+6117 Clamped 210dqscb176 scaleb 1000E+6114 +1 -> 1.0000000E+6118 Clamped 211dqscb177 scaleb 1000E+6131 +1 -> 1.000000000000000000000000E+6135 Clamped 212dqscb178 scaleb 1000E+6132 +1 -> 1.0000000000000000000000000E+6136 Clamped 213dqscb179 scaleb 1000E+6133 +1 -> 1.00000000000000000000000000E+6137 Clamped 214dqscb180 scaleb 1000E+6134 +1 -> 1.000000000000000000000000000E+6138 Clamped 215dqscb181 scaleb 1000E+6135 +1 -> 1.0000000000000000000000000000E+6139 Clamped 216dqscb182 scaleb 1000E+6136 +1 -> 1.00000000000000000000000000000E+6140 Clamped 217dqscb183 scaleb 1000E+6137 +1 -> 1.000000000000000000000000000000E+6141 Clamped 218dqscb184 scaleb 1000E+6138 +1 -> 1.0000000000000000000000000000000E+6142 Clamped 219dqscb185 scaleb 1000E+6139 +1 -> 1.00000000000000000000000000000000E+6143 Clamped 220dqscb186 scaleb 1000E+6140 +1 -> 1.000000000000000000000000000000000E+6144 Clamped 221dqscb187 scaleb 1000E+6141 +1 -> Infinity Overflow Inexact Rounded 222 223-- and a few more subnormal truncations 224-- (these check that underflow is being done correctly) 225dqscb221 scaleb 1.000000000000000000000000000000000E-6143 0 -> 1.000000000000000000000000000000000E-6143 226dqscb222 scaleb 1.000000000000000000000000000000000E-6143 -1 -> 1.00000000000000000000000000000000E-6144 Subnormal Rounded 227dqscb223 scaleb 1.000000000000000000000000000000000E-6143 -2 -> 1.0000000000000000000000000000000E-6145 Subnormal Rounded 228dqscb224 scaleb 1.000000000000000000000000000000000E-6143 -3 -> 1.000000000000000000000000000000E-6146 Subnormal Rounded 229dqscb225 scaleb 1.000000000000000000000000000000000E-6143 -4 -> 1.00000000000000000000000000000E-6147 Subnormal Rounded 230dqscb226 scaleb 1.000000000000000000000000000000000E-6143 -5 -> 1.0000000000000000000000000000E-6148 Subnormal Rounded 231dqscb227 scaleb 1.000000000000000000000000000000000E-6143 -6 -> 1.000000000000000000000000000E-6149 Subnormal Rounded 232dqscb228 scaleb 1.000000000000000000000000000000000E-6143 -7 -> 1.00000000000000000000000000E-6150 Subnormal Rounded 233dqscb229 scaleb 1.000000000000000000000000000000000E-6143 -8 -> 1.0000000000000000000000000E-6151 Subnormal Rounded 234dqscb230 scaleb 1.000000000000000000000000000000000E-6143 -9 -> 1.000000000000000000000000E-6152 Subnormal Rounded 235dqscb231 scaleb 1.000000000000000000000000000000000E-6143 -10 -> 1.00000000000000000000000E-6153 Subnormal Rounded 236dqscb232 scaleb 1.000000000000000000000000000000000E-6143 -11 -> 1.0000000000000000000000E-6154 Subnormal Rounded 237dqscb233 scaleb 1.000000000000000000000000000000000E-6143 -12 -> 1.000000000000000000000E-6155 Subnormal Rounded 238dqscb234 scaleb 1.000000000000000000000000000000000E-6143 -13 -> 1.00000000000000000000E-6156 Subnormal Rounded 239dqscb235 scaleb 1.000000000000000000000000000000000E-6143 -14 -> 1.0000000000000000000E-6157 Subnormal Rounded 240dqscb236 scaleb 1.000000000000000000000000000000000E-6143 -15 -> 1.000000000000000000E-6158 Subnormal Rounded 241dqscb237 scaleb 1.000000000000000000000000000000000E-6143 -16 -> 1.00000000000000000E-6159 Subnormal Rounded 242dqscb238 scaleb 1.000000000000000000000000000000000E-6143 -17 -> 1.0000000000000000E-6160 Subnormal Rounded 243dqscb239 scaleb 1.000000000000000000000000000000000E-6143 -18 -> 1.000000000000000E-6161 Subnormal Rounded 244dqscb202 scaleb 1.000000000000000000000000000000000E-6143 -19 -> 1.00000000000000E-6162 Subnormal Rounded 245dqscb203 scaleb 1.000000000000000000000000000000000E-6143 -20 -> 1.0000000000000E-6163 Subnormal Rounded 246dqscb204 scaleb 1.000000000000000000000000000000000E-6143 -21 -> 1.000000000000E-6164 Subnormal Rounded 247dqscb205 scaleb 1.000000000000000000000000000000000E-6143 -22 -> 1.00000000000E-6165 Subnormal Rounded 248dqscb206 scaleb 1.000000000000000000000000000000000E-6143 -23 -> 1.0000000000E-6166 Subnormal Rounded 249dqscb207 scaleb 1.000000000000000000000000000000000E-6143 -24 -> 1.000000000E-6167 Subnormal Rounded 250dqscb208 scaleb 1.000000000000000000000000000000000E-6143 -25 -> 1.00000000E-6168 Subnormal Rounded 251dqscb209 scaleb 1.000000000000000000000000000000000E-6143 -26 -> 1.0000000E-6169 Subnormal Rounded 252dqscb210 scaleb 1.000000000000000000000000000000000E-6143 -27 -> 1.000000E-6170 Subnormal Rounded 253dqscb211 scaleb 1.000000000000000000000000000000000E-6143 -28 -> 1.00000E-6171 Subnormal Rounded 254dqscb212 scaleb 1.000000000000000000000000000000000E-6143 -29 -> 1.0000E-6172 Subnormal Rounded 255dqscb213 scaleb 1.000000000000000000000000000000000E-6143 -30 -> 1.000E-6173 Subnormal Rounded 256dqscb214 scaleb 1.000000000000000000000000000000000E-6143 -31 -> 1.00E-6174 Subnormal Rounded 257dqscb215 scaleb 1.000000000000000000000000000000000E-6143 -32 -> 1.0E-6175 Subnormal Rounded 258dqscb216 scaleb 1.000000000000000000000000000000000E-6143 -33 -> 1E-6176 Subnormal Rounded 259dqscb217 scaleb 1.000000000000000000000000000000000E-6143 -34 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 260dqscb218 scaleb 1.000000000000000000000000000000000E-6143 -35 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 261