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