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✏️ scaleb.decTest
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------------------------------------------------------------------------ -- scaleb.decTest -- scale a number by powers of 10 -- -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://www2.hursley.ibm.com/decimal for the description of -- -- these testcases. -- -- -- -- These testcases are experimental ('beta' versions), and they -- -- may contain errors. They are offered on an as-is basis. In -- -- particular, achieving the same results as the tests here is not -- -- a guarantee that an implementation complies with any Standard -- -- or specification. The tests are not exhaustive. -- -- -- -- Please send comments, suggestions, and corrections to the author: -- -- Mike Cowlishaw, IBM Fellow -- -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- -- mfc@uk.ibm.com -- ------------------------------------------------------------------------ version: 2.59 extended: 1 precision: 9 rounding: half_up maxExponent: 999 minExponent: -999 -- Max |rhs| is 2*(999+9) = 2016 -- Sanity checks scbx001 scaleb 7.50 10 -> 7.50E+10 scbx002 scaleb 7.50 3 -> 7.50E+3 scbx003 scaleb 7.50 2 -> 750 scbx004 scaleb 7.50 1 -> 75.0 scbx005 scaleb 7.50 0 -> 7.50 scbx006 scaleb 7.50 -1 -> 0.750 scbx007 scaleb 7.50 -2 -> 0.0750 scbx008 scaleb 7.50 -10 -> 7.50E-10 scbx009 scaleb -7.50 3 -> -7.50E+3 scbx010 scaleb -7.50 2 -> -750 scbx011 scaleb -7.50 1 -> -75.0 scbx012 scaleb -7.50 0 -> -7.50 scbx013 scaleb -7.50 -1 -> -0.750 -- Infinities scbx014 scaleb Infinity 1 -> Infinity scbx015 scaleb -Infinity 2 -> -Infinity scbx016 scaleb Infinity -1 -> Infinity scbx017 scaleb -Infinity -2 -> -Infinity -- Next two are somewhat undefined in 754r; treat as non-integer scbx018 scaleb 10 Infinity -> NaN Invalid_operation scbx019 scaleb 10 -Infinity -> NaN Invalid_operation -- NaNs are undefined in 754r; assume usual processing -- NaNs, 0 payload scbx021 scaleb NaN 1 -> NaN scbx022 scaleb -NaN -1 -> -NaN scbx023 scaleb sNaN 1 -> NaN Invalid_operation scbx024 scaleb -sNaN 1 -> -NaN Invalid_operation scbx025 scaleb 4 NaN -> NaN scbx026 scaleb -Inf -NaN -> -NaN scbx027 scaleb 4 sNaN -> NaN Invalid_operation scbx028 scaleb Inf -sNaN -> -NaN Invalid_operation -- non-integer RHS scbx030 scaleb 1.23 1 -> 12.3 scbx031 scaleb 1.23 1.00 -> NaN Invalid_operation scbx032 scaleb 1.23 1.1 -> NaN Invalid_operation scbx033 scaleb 1.23 1.01 -> NaN Invalid_operation scbx034 scaleb 1.23 0.01 -> NaN Invalid_operation scbx035 scaleb 1.23 0.11 -> NaN Invalid_operation scbx036 scaleb 1.23 0.999999999 -> NaN Invalid_operation scbx037 scaleb 1.23 -1 -> 0.123 scbx038 scaleb 1.23 -1.00 -> NaN Invalid_operation scbx039 scaleb 1.23 -1.1 -> NaN Invalid_operation scbx040 scaleb 1.23 -1.01 -> NaN Invalid_operation scbx041 scaleb 1.23 -0.01 -> NaN Invalid_operation scbx042 scaleb 1.23 -0.11 -> NaN Invalid_operation scbx043 scaleb 1.23 -0.999999999 -> NaN Invalid_operation scbx044 scaleb 1.23 0.1 -> NaN Invalid_operation scbx045 scaleb 1.23 1E+1 -> NaN Invalid_operation scbx046 scaleb 1.23 1.1234E+6 -> NaN Invalid_operation scbx047 scaleb 1.23 1.123E+4 -> NaN Invalid_operation scbx120 scaleb 1.23 2015 -> Infinity Overflow Inexact Rounded scbx121 scaleb 1.23 2016 -> Infinity Overflow Inexact Rounded scbx122 scaleb 1.23 2017 -> NaN Invalid_operation scbx123 scaleb 1.23 2018 -> NaN Invalid_operation scbx124 scaleb 1.23 -2015 -> 0E-1007 Underflow Subnormal Inexact Rounded Clamped scbx125 scaleb 1.23 -2016 -> 0E-1007 Underflow Subnormal Inexact Rounded Clamped scbx126 scaleb 1.23 -2017 -> NaN Invalid_operation scbx127 scaleb 1.23 -2018 -> NaN Invalid_operation -- NaNs, non-0 payload -- propagating NaNs scbx861 scaleb NaN01 -Inf -> NaN1 scbx862 scaleb -NaN02 -1000 -> -NaN2 scbx863 scaleb NaN03 1000 -> NaN3 scbx864 scaleb NaN04 Inf -> NaN4 scbx865 scaleb NaN05 NaN61 -> NaN5 scbx866 scaleb -Inf -NaN71 -> -NaN71 scbx867 scaleb -1000 NaN81 -> NaN81 scbx868 scaleb 1000 NaN91 -> NaN91 scbx869 scaleb Inf NaN101 -> NaN101 scbx871 scaleb sNaN011 -Inf -> NaN11 Invalid_operation scbx872 scaleb sNaN012 -1000 -> NaN12 Invalid_operation scbx873 scaleb -sNaN013 1000 -> -NaN13 Invalid_operation scbx874 scaleb sNaN014 NaN171 -> NaN14 Invalid_operation scbx875 scaleb sNaN015 sNaN181 -> NaN15 Invalid_operation scbx876 scaleb NaN016 sNaN191 -> NaN191 Invalid_operation scbx877 scaleb -Inf sNaN201 -> NaN201 Invalid_operation scbx878 scaleb -1000 sNaN211 -> NaN211 Invalid_operation scbx879 scaleb 1000 -sNaN221 -> -NaN221 Invalid_operation scbx880 scaleb Inf sNaN231 -> NaN231 Invalid_operation scbx881 scaleb NaN025 sNaN241 -> NaN241 Invalid_operation -- finites scbx051 scaleb 7 -2 -> 0.07 scbx052 scaleb -7 -2 -> -0.07 scbx053 scaleb 75 -2 -> 0.75 scbx054 scaleb -75 -2 -> -0.75 scbx055 scaleb 7.50 -2 -> 0.0750 scbx056 scaleb -7.50 -2 -> -0.0750 scbx057 scaleb 7.500 -2 -> 0.07500 scbx058 scaleb -7.500 -2 -> -0.07500 scbx061 scaleb 7 -1 -> 0.7 scbx062 scaleb -7 -1 -> -0.7 scbx063 scaleb 75 -1 -> 7.5 scbx064 scaleb -75 -1 -> -7.5 scbx065 scaleb 7.50 -1 -> 0.750 scbx066 scaleb -7.50 -1 -> -0.750 scbx067 scaleb 7.500 -1 -> 0.7500 scbx068 scaleb -7.500 -1 -> -0.7500 scbx071 scaleb 7 0 -> 7 scbx072 scaleb -7 0 -> -7 scbx073 scaleb 75 0 -> 75 scbx074 scaleb -75 0 -> -75 scbx075 scaleb 7.50 0 -> 7.50 scbx076 scaleb -7.50 0 -> -7.50 scbx077 scaleb 7.500 0 -> 7.500 scbx078 scaleb -7.500 0 -> -7.500 scbx081 scaleb 7 1 -> 7E+1 scbx082 scaleb -7 1 -> -7E+1 scbx083 scaleb 75 1 -> 7.5E+2 scbx084 scaleb -75 1 -> -7.5E+2 scbx085 scaleb 7.50 1 -> 75.0 scbx086 scaleb -7.50 1 -> -75.0 scbx087 scaleb 7.500 1 -> 75.00 scbx088 scaleb -7.500 1 -> -75.00 scbx091 scaleb 7 2 -> 7E+2 scbx092 scaleb -7 2 -> -7E+2 scbx093 scaleb 75 2 -> 7.5E+3 scbx094 scaleb -75 2 -> -7.5E+3 scbx095 scaleb 7.50 2 -> 750 scbx096 scaleb -7.50 2 -> -750 scbx097 scaleb 7.500 2 -> 750.0 scbx098 scaleb -7.500 2 -> -750.0 -- zeros scbx111 scaleb 0 1 -> 0E+1 scbx112 scaleb -0 2 -> -0E+2 scbx113 scaleb 0E+4 3 -> 0E+7 scbx114 scaleb -0E+4 4 -> -0E+8 scbx115 scaleb 0.0000 5 -> 0E+1 scbx116 scaleb -0.0000 6 -> -0E+2 scbx117 scaleb 0E-141 7 -> 0E-134 scbx118 scaleb -0E-141 8 -> -0E-133 -- Nmax, Nmin, Ntiny scbx132 scaleb 9.99999999E+999 +999 -> Infinity Overflow Inexact Rounded scbx133 scaleb 9.99999999E+999 +10 -> Infinity Overflow Inexact Rounded scbx134 scaleb 9.99999999E+999 +1 -> Infinity Overflow Inexact Rounded scbx135 scaleb 9.99999999E+999 0 -> 9.99999999E+999 scbx136 scaleb 9.99999999E+999 -1 -> 9.99999999E+998 scbx137 scaleb 1E-999 +1 -> 1E-998 scbx138 scaleb 1E-999 -0 -> 1E-999 scbx139 scaleb 1E-999 -1 -> 1E-1000 Subnormal scbx140 scaleb 1.00000000E-999 +1 -> 1.00000000E-998 scbx141 scaleb 1.00000000E-999 0 -> 1.00000000E-999 scbx142 scaleb 1.00000000E-999 -1 -> 1.0000000E-1000 Subnormal Rounded scbx143 scaleb 1E-1007 +1 -> 1E-1006 Subnormal scbx144 scaleb 1E-1007 -0 -> 1E-1007 Subnormal scbx145 scaleb 1E-1007 -1 -> 0E-1007 Underflow Subnormal Inexact Rounded Clamped scbx150 scaleb -1E-1007 +1 -> -1E-1006 Subnormal scbx151 scaleb -1E-1007 -0 -> -1E-1007 Subnormal scbx152 scaleb -1E-1007 -1 -> -0E-1007 Underflow Subnormal Inexact Rounded Clamped scbx153 scaleb -1.00000000E-999 +1 -> -1.00000000E-998 scbx154 scaleb -1.00000000E-999 +0 -> -1.00000000E-999 scbx155 scaleb -1.00000000E-999 -1 -> -1.0000000E-1000 Subnormal Rounded scbx156 scaleb -1E-999 +1 -> -1E-998 scbx157 scaleb -1E-999 -0 -> -1E-999 scbx158 scaleb -1E-999 -1 -> -1E-1000 Subnormal scbx159 scaleb -9.99999999E+999 +1 -> -Infinity Overflow Inexact Rounded scbx160 scaleb -9.99999999E+999 +0 -> -9.99999999E+999 scbx161 scaleb -9.99999999E+999 -1 -> -9.99999999E+998 scbx162 scaleb -9E+999 +1 -> -Infinity Overflow Inexact Rounded scbx163 scaleb -1E+999 +1 -> -Infinity Overflow Inexact Rounded -- Krah examples precision: 34 maxExponent: 999999999 minExponent: -999999999 -- integer overflow in 3.61 or earlier scbx164 scaleb 1E-999999999 -1200000000 -> NaN Invalid_operation -- out of range scbx165 scaleb -1E-999999999 +1200000000 -> NaN Invalid_operation
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