1------------------------------------------------------------------------ 2-- ddScalebB.decTest -- scale a decDouble 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 22precision: 16 23maxExponent: 384 24minExponent: -383 25extended: 1 26clamp: 1 27rounding: half_even 28 29-- Max |rhs| is 2*(384+16) = 800 30 31-- Sanity checks 32ddscb001 scaleb 7.50 10 -> 7.50E+10 33ddscb002 scaleb 7.50 3 -> 7.50E+3 34ddscb003 scaleb 7.50 2 -> 750 35ddscb004 scaleb 7.50 1 -> 75.0 36ddscb005 scaleb 7.50 0 -> 7.50 37ddscb006 scaleb 7.50 -1 -> 0.750 38ddscb007 scaleb 7.50 -2 -> 0.0750 39ddscb008 scaleb 7.50 -10 -> 7.50E-10 40ddscb009 scaleb -7.50 3 -> -7.50E+3 41ddscb010 scaleb -7.50 2 -> -750 42ddscb011 scaleb -7.50 1 -> -75.0 43ddscb012 scaleb -7.50 0 -> -7.50 44ddscb013 scaleb -7.50 -1 -> -0.750 45 46-- Infinities 47ddscb014 scaleb Infinity 1 -> Infinity 48ddscb015 scaleb -Infinity 2 -> -Infinity 49ddscb016 scaleb Infinity -1 -> Infinity 50ddscb017 scaleb -Infinity -2 -> -Infinity 51 52-- Next two are somewhat undefined in 754r; treat as non-integer 53ddscb018 scaleb 10 Infinity -> NaN Invalid_operation 54ddscb019 scaleb 10 -Infinity -> NaN Invalid_operation 55 56-- NaNs are undefined in 754r; assume usual processing 57-- NaNs, 0 payload 58ddscb021 scaleb NaN 1 -> NaN 59ddscb022 scaleb -NaN -1 -> -NaN 60ddscb023 scaleb sNaN 1 -> NaN Invalid_operation 61ddscb024 scaleb -sNaN 1 -> -NaN Invalid_operation 62ddscb025 scaleb 4 NaN -> NaN 63ddscb026 scaleb -Inf -NaN -> -NaN 64ddscb027 scaleb 4 sNaN -> NaN Invalid_operation 65ddscb028 scaleb Inf -sNaN -> -NaN Invalid_operation 66 67-- non-integer RHS 68ddscb030 scaleb 1.23 1 -> 12.3 69ddscb031 scaleb 1.23 1.00 -> NaN Invalid_operation 70ddscb032 scaleb 1.23 1.1 -> NaN Invalid_operation 71ddscb033 scaleb 1.23 1.01 -> NaN Invalid_operation 72ddscb034 scaleb 1.23 0.01 -> NaN Invalid_operation 73ddscb035 scaleb 1.23 0.11 -> NaN Invalid_operation 74ddscb036 scaleb 1.23 0.999999999 -> NaN Invalid_operation 75ddscb037 scaleb 1.23 -1 -> 0.123 76ddscb038 scaleb 1.23 -1.00 -> NaN Invalid_operation 77ddscb039 scaleb 1.23 -1.1 -> NaN Invalid_operation 78ddscb040 scaleb 1.23 -1.01 -> NaN Invalid_operation 79ddscb041 scaleb 1.23 -0.01 -> NaN Invalid_operation 80ddscb042 scaleb 1.23 -0.11 -> NaN Invalid_operation 81ddscb043 scaleb 1.23 -0.999999999 -> NaN Invalid_operation 82ddscb044 scaleb 1.23 0.1 -> NaN Invalid_operation 83ddscb045 scaleb 1.23 1E+1 -> NaN Invalid_operation 84ddscb046 scaleb 1.23 1.1234E+6 -> NaN Invalid_operation 85ddscb047 scaleb 1.23 1.123E+4 -> NaN Invalid_operation 86 87-- out-of range RHS 88ddscb120 scaleb 1.23 799 -> Infinity Overflow Inexact Rounded 89ddscb121 scaleb 1.23 800 -> Infinity Overflow Inexact Rounded 90ddscb122 scaleb 1.23 801 -> NaN Invalid_operation 91ddscb123 scaleb 1.23 802 -> NaN Invalid_operation 92ddscb124 scaleb 1.23 -799 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 93ddscb125 scaleb 1.23 -800 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 94ddscb126 scaleb 1.23 -801 -> NaN Invalid_operation 95ddscb127 scaleb 1.23 -802 -> NaN Invalid_operation 96 97-- NaNs, non-0 payload 98-- propagating NaNs 99ddscb861 scaleb NaN01 -Inf -> NaN1 100ddscb862 scaleb -NaN02 -1000 -> -NaN2 101ddscb863 scaleb NaN03 1000 -> NaN3 102ddscb864 scaleb NaN04 Inf -> NaN4 103ddscb865 scaleb NaN05 NaN61 -> NaN5 104ddscb866 scaleb -Inf -NaN71 -> -NaN71 105ddscb867 scaleb -1000 NaN81 -> NaN81 106ddscb868 scaleb 1000 NaN91 -> NaN91 107ddscb869 scaleb Inf NaN101 -> NaN101 108ddscb871 scaleb sNaN011 -Inf -> NaN11 Invalid_operation 109ddscb872 scaleb sNaN012 -1000 -> NaN12 Invalid_operation 110ddscb873 scaleb -sNaN013 1000 -> -NaN13 Invalid_operation 111ddscb874 scaleb sNaN014 NaN171 -> NaN14 Invalid_operation 112ddscb875 scaleb sNaN015 sNaN181 -> NaN15 Invalid_operation 113ddscb876 scaleb NaN016 sNaN191 -> NaN191 Invalid_operation 114ddscb877 scaleb -Inf sNaN201 -> NaN201 Invalid_operation 115ddscb878 scaleb -1000 sNaN211 -> NaN211 Invalid_operation 116ddscb879 scaleb 1000 -sNaN221 -> -NaN221 Invalid_operation 117ddscb880 scaleb Inf sNaN231 -> NaN231 Invalid_operation 118ddscb881 scaleb NaN025 sNaN241 -> NaN241 Invalid_operation 119 120-- finites 121ddscb051 scaleb 7 -2 -> 0.07 122ddscb052 scaleb -7 -2 -> -0.07 123ddscb053 scaleb 75 -2 -> 0.75 124ddscb054 scaleb -75 -2 -> -0.75 125ddscb055 scaleb 7.50 -2 -> 0.0750 126ddscb056 scaleb -7.50 -2 -> -0.0750 127ddscb057 scaleb 7.500 -2 -> 0.07500 128ddscb058 scaleb -7.500 -2 -> -0.07500 129ddscb061 scaleb 7 -1 -> 0.7 130ddscb062 scaleb -7 -1 -> -0.7 131ddscb063 scaleb 75 -1 -> 7.5 132ddscb064 scaleb -75 -1 -> -7.5 133ddscb065 scaleb 7.50 -1 -> 0.750 134ddscb066 scaleb -7.50 -1 -> -0.750 135ddscb067 scaleb 7.500 -1 -> 0.7500 136ddscb068 scaleb -7.500 -1 -> -0.7500 137ddscb071 scaleb 7 0 -> 7 138ddscb072 scaleb -7 0 -> -7 139ddscb073 scaleb 75 0 -> 75 140ddscb074 scaleb -75 0 -> -75 141ddscb075 scaleb 7.50 0 -> 7.50 142ddscb076 scaleb -7.50 0 -> -7.50 143ddscb077 scaleb 7.500 0 -> 7.500 144ddscb078 scaleb -7.500 0 -> -7.500 145ddscb081 scaleb 7 1 -> 7E+1 146ddscb082 scaleb -7 1 -> -7E+1 147ddscb083 scaleb 75 1 -> 7.5E+2 148ddscb084 scaleb -75 1 -> -7.5E+2 149ddscb085 scaleb 7.50 1 -> 75.0 150ddscb086 scaleb -7.50 1 -> -75.0 151ddscb087 scaleb 7.500 1 -> 75.00 152ddscb088 scaleb -7.500 1 -> -75.00 153ddscb091 scaleb 7 2 -> 7E+2 154ddscb092 scaleb -7 2 -> -7E+2 155ddscb093 scaleb 75 2 -> 7.5E+3 156ddscb094 scaleb -75 2 -> -7.5E+3 157ddscb095 scaleb 7.50 2 -> 750 158ddscb096 scaleb -7.50 2 -> -750 159ddscb097 scaleb 7.500 2 -> 750.0 160ddscb098 scaleb -7.500 2 -> -750.0 161 162-- zeros 163ddscb111 scaleb 0 1 -> 0E+1 164ddscb112 scaleb -0 2 -> -0E+2 165ddscb113 scaleb 0E+4 3 -> 0E+7 166ddscb114 scaleb -0E+4 4 -> -0E+8 167ddscb115 scaleb 0.0000 5 -> 0E+1 168ddscb116 scaleb -0.0000 6 -> -0E+2 169ddscb117 scaleb 0E-141 7 -> 0E-134 170ddscb118 scaleb -0E-141 8 -> -0E-133 171 172-- Nmax, Nmin, Ntiny 173ddscb132 scaleb 9.999999999999999E+384 +384 -> Infinity Overflow Inexact Rounded 174ddscb133 scaleb 9.999999999999999E+384 +10 -> Infinity Overflow Inexact Rounded 175ddscb134 scaleb 9.999999999999999E+384 +1 -> Infinity Overflow Inexact Rounded 176ddscb135 scaleb 9.999999999999999E+384 0 -> 9.999999999999999E+384 177ddscb136 scaleb 9.999999999999999E+384 -1 -> 9.999999999999999E+383 178ddscb137 scaleb 1E-383 +1 -> 1E-382 179ddscb138 scaleb 1E-383 -0 -> 1E-383 180ddscb139 scaleb 1E-383 -1 -> 1E-384 Subnormal 181ddscb140 scaleb 1.000000000000000E-383 +1 -> 1.000000000000000E-382 182ddscb141 scaleb 1.000000000000000E-383 0 -> 1.000000000000000E-383 183ddscb142 scaleb 1.000000000000000E-383 -1 -> 1.00000000000000E-384 Subnormal Rounded 184ddscb143 scaleb 1E-398 +1 -> 1E-397 Subnormal 185ddscb144 scaleb 1E-398 -0 -> 1E-398 Subnormal 186ddscb145 scaleb 1E-398 -1 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 187 188ddscb150 scaleb -1E-398 +1 -> -1E-397 Subnormal 189ddscb151 scaleb -1E-398 -0 -> -1E-398 Subnormal 190ddscb152 scaleb -1E-398 -1 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 191ddscb153 scaleb -1.000000000000000E-383 +1 -> -1.000000000000000E-382 192ddscb154 scaleb -1.000000000000000E-383 +0 -> -1.000000000000000E-383 193ddscb155 scaleb -1.000000000000000E-383 -1 -> -1.00000000000000E-384 Subnormal Rounded 194ddscb156 scaleb -1E-383 +1 -> -1E-382 195ddscb157 scaleb -1E-383 -0 -> -1E-383 196ddscb158 scaleb -1E-383 -1 -> -1E-384 Subnormal 197ddscb159 scaleb -9.999999999999999E+384 +1 -> -Infinity Overflow Inexact Rounded 198ddscb160 scaleb -9.999999999999999E+384 +0 -> -9.999999999999999E+384 199ddscb161 scaleb -9.999999999999999E+384 -1 -> -9.999999999999999E+383 200ddscb162 scaleb -9E+384 +1 -> -Infinity Overflow Inexact Rounded 201ddscb163 scaleb -1E+384 +1 -> -Infinity Overflow Inexact Rounded 202 203-- some Origami 204-- (these check that overflow is being done correctly) 205ddscb171 scaleb 1000E+365 +1 -> 1.000E+369 206ddscb172 scaleb 1000E+366 +1 -> 1.000E+370 207ddscb173 scaleb 1000E+367 +1 -> 1.000E+371 208ddscb174 scaleb 1000E+368 +1 -> 1.000E+372 209ddscb175 scaleb 1000E+369 +1 -> 1.0000E+373 Clamped 210ddscb176 scaleb 1000E+370 +1 -> 1.00000E+374 Clamped 211ddscb177 scaleb 1000E+371 +1 -> 1.000000E+375 Clamped 212ddscb178 scaleb 1000E+372 +1 -> 1.0000000E+376 Clamped 213ddscb179 scaleb 1000E+373 +1 -> 1.00000000E+377 Clamped 214ddscb180 scaleb 1000E+374 +1 -> 1.000000000E+378 Clamped 215ddscb181 scaleb 1000E+375 +1 -> 1.0000000000E+379 Clamped 216ddscb182 scaleb 1000E+376 +1 -> 1.00000000000E+380 Clamped 217ddscb183 scaleb 1000E+377 +1 -> 1.000000000000E+381 Clamped 218ddscb184 scaleb 1000E+378 +1 -> 1.0000000000000E+382 Clamped 219ddscb185 scaleb 1000E+379 +1 -> 1.00000000000000E+383 Clamped 220ddscb186 scaleb 1000E+380 +1 -> 1.000000000000000E+384 Clamped 221ddscb187 scaleb 1000E+381 +1 -> Infinity Overflow Inexact Rounded 222 223-- and a few more subnormal truncations 224-- (these check that underflow is being done correctly) 225ddscb201 scaleb 1.000000000000000E-383 0 -> 1.000000000000000E-383 226ddscb202 scaleb 1.000000000000000E-383 -1 -> 1.00000000000000E-384 Subnormal Rounded 227ddscb203 scaleb 1.000000000000000E-383 -2 -> 1.0000000000000E-385 Subnormal Rounded 228ddscb204 scaleb 1.000000000000000E-383 -3 -> 1.000000000000E-386 Subnormal Rounded 229ddscb205 scaleb 1.000000000000000E-383 -4 -> 1.00000000000E-387 Subnormal Rounded 230ddscb206 scaleb 1.000000000000000E-383 -5 -> 1.0000000000E-388 Subnormal Rounded 231ddscb207 scaleb 1.000000000000000E-383 -6 -> 1.000000000E-389 Subnormal Rounded 232ddscb208 scaleb 1.000000000000000E-383 -7 -> 1.00000000E-390 Subnormal Rounded 233ddscb209 scaleb 1.000000000000000E-383 -8 -> 1.0000000E-391 Subnormal Rounded 234ddscb210 scaleb 1.000000000000000E-383 -9 -> 1.000000E-392 Subnormal Rounded 235ddscb211 scaleb 1.000000000000000E-383 -10 -> 1.00000E-393 Subnormal Rounded 236ddscb212 scaleb 1.000000000000000E-383 -11 -> 1.0000E-394 Subnormal Rounded 237ddscb213 scaleb 1.000000000000000E-383 -12 -> 1.000E-395 Subnormal Rounded 238ddscb214 scaleb 1.000000000000000E-383 -13 -> 1.00E-396 Subnormal Rounded 239ddscb215 scaleb 1.000000000000000E-383 -14 -> 1.0E-397 Subnormal Rounded 240ddscb216 scaleb 1.000000000000000E-383 -15 -> 1E-398 Subnormal Rounded 241ddscb217 scaleb 1.000000000000000E-383 -16 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 242ddscb218 scaleb 1.000000000000000E-383 -17 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 243 244