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------------------------------------------------------------------------
-- dqScalebB.decTest -- scale a decQuad 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 --
-- [email protected] --
------------------------------------------------------------------------
version: 2.59
extended: 1
clamp: 1
precision: 34
maxExponent: 6144
minExponent: -6143
rounding: half_even
-- Max |rhs| is 2*(6144+34) = 12356
-- Sanity checks
dqscb001 scaleb 7.50 10 -> 7.50E+10
dqscb002 scaleb 7.50 3 -> 7.50E+3
dqscb003 scaleb 7.50 2 -> 750
dqscb004 scaleb 7.50 1 -> 75.0
dqscb005 scaleb 7.50 0 -> 7.50
dqscb006 scaleb 7.50 -1 -> 0.750
dqscb007 scaleb 7.50 -2 -> 0.0750
dqscb008 scaleb 7.50 -10 -> 7.50E-10
dqscb009 scaleb -7.50 3 -> -7.50E+3
dqscb010 scaleb -7.50 2 -> -750
dqscb011 scaleb -7.50 1 -> -75.0
dqscb012 scaleb -7.50 0 -> -7.50
dqscb013 scaleb -7.50 -1 -> -0.750
-- Infinities
dqscb014 scaleb Infinity 1 -> Infinity
dqscb015 scaleb -Infinity 2 -> -Infinity
dqscb016 scaleb Infinity -1 -> Infinity
dqscb017 scaleb -Infinity -2 -> -Infinity
-- Next two are somewhat undefined in 754r; treat as non-integer
dqscb018 scaleb 10 Infinity -> NaN Invalid_operation
dqscb019 scaleb 10 -Infinity -> NaN Invalid_operation
-- NaNs are undefined in 754r; assume usual processing
-- NaNs, 0 payload
dqscb021 scaleb NaN 1 -> NaN
dqscb022 scaleb -NaN -1 -> -NaN
dqscb023 scaleb sNaN 1 -> NaN Invalid_operation
dqscb024 scaleb -sNaN 1 -> -NaN Invalid_operation
dqscb025 scaleb 4 NaN -> NaN
dqscb026 scaleb -Inf -NaN -> -NaN
dqscb027 scaleb 4 sNaN -> NaN Invalid_operation
dqscb028 scaleb Inf -sNaN -> -NaN Invalid_operation
-- non-integer RHS
dqscb030 scaleb 1.23 1 -> 12.3
dqscb031 scaleb 1.23 1.00 -> NaN Invalid_operation
dqscb032 scaleb 1.23 1.1 -> NaN Invalid_operation
dqscb033 scaleb 1.23 1.01 -> NaN Invalid_operation
dqscb034 scaleb 1.23 0.01 -> NaN Invalid_operation
dqscb035 scaleb 1.23 0.11 -> NaN Invalid_operation
dqscb036 scaleb 1.23 0.999999999 -> NaN Invalid_operation
dqscb037 scaleb 1.23 -1 -> 0.123
dqscb0614 scaleb 1.23 -1.00 -> NaN Invalid_operation
dqscb039 scaleb 1.23 -1.1 -> NaN Invalid_operation
dqscb040 scaleb 1.23 -1.01 -> NaN Invalid_operation
dqscb041 scaleb 1.23 -0.01 -> NaN Invalid_operation
dqscb042 scaleb 1.23 -0.11 -> NaN Invalid_operation
dqscb043 scaleb 1.23 -0.999999999 -> NaN Invalid_operation
dqscb044 scaleb 1.23 0.1 -> NaN Invalid_operation
dqscb045 scaleb 1.23 1E+1 -> NaN Invalid_operation
dqscb046 scaleb 1.23 1.1234E+6 -> NaN Invalid_operation
dqscb047 scaleb 1.23 1.123E+4 -> NaN Invalid_operation
-- out-of range RHS
dqscb120 scaleb 1.23 12355 -> Infinity Overflow Inexact Rounded
dqscb121 scaleb 1.23 12356 -> Infinity Overflow Inexact Rounded
dqscb122 scaleb 1.23 12357 -> NaN Invalid_operation
dqscb123 scaleb 1.23 12358 -> NaN Invalid_operation
dqscb124 scaleb 1.23 -12355 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqscb125 scaleb 1.23 -12356 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqscb126 scaleb 1.23 -12357 -> NaN Invalid_operation
dqscb127 scaleb 1.23 -12358 -> NaN Invalid_operation
-- NaNs, non-0 payload
-- propagating NaNs
dqscb861 scaleb NaN01 -Inf -> NaN1
dqscb862 scaleb -NaN02 -1000 -> -NaN2
dqscb863 scaleb NaN03 1000 -> NaN3
dqscb864 scaleb NaN04 Inf -> NaN4
dqscb865 scaleb NaN05 NaN61 -> NaN5
dqscb866 scaleb -Inf -NaN71 -> -NaN71
dqscb867 scaleb -1000 NaN81 -> NaN81
dqscb868 scaleb 1000 NaN91 -> NaN91
dqscb869 scaleb Inf NaN101 -> NaN101
dqscb871 scaleb sNaN011 -Inf -> NaN11 Invalid_operation
dqscb872 scaleb sNaN012 -1000 -> NaN12 Invalid_operation
dqscb873 scaleb -sNaN013 1000 -> -NaN13 Invalid_operation
dqscb874 scaleb sNaN014 NaN171 -> NaN14 Invalid_operation
dqscb875 scaleb sNaN015 sNaN181 -> NaN15 Invalid_operation
dqscb876 scaleb NaN016 sNaN191 -> NaN191 Invalid_operation
dqscb877 scaleb -Inf sNaN201 -> NaN201 Invalid_operation
dqscb878 scaleb -1000 sNaN211 -> NaN211 Invalid_operation
dqscb879 scaleb 1000 -sNaN221 -> -NaN221 Invalid_operation
dqscb880 scaleb Inf sNaN231 -> NaN231 Invalid_operation
dqscb881 scaleb NaN025 sNaN241 -> NaN241 Invalid_operation
-- finites
dqscb051 scaleb 7 -2 -> 0.07
dqscb052 scaleb -7 -2 -> -0.07
dqscb053 scaleb 75 -2 -> 0.75
dqscb054 scaleb -75 -2 -> -0.75
dqscb055 scaleb 7.50 -2 -> 0.0750
dqscb056 scaleb -7.50 -2 -> -0.0750
dqscb057 scaleb 7.500 -2 -> 0.07500
dqscb058 scaleb -7.500 -2 -> -0.07500
dqscb061 scaleb 7 -1 -> 0.7
dqscb062 scaleb -7 -1 -> -0.7
dqscb063 scaleb 75 -1 -> 7.5
dqscb064 scaleb -75 -1 -> -7.5
dqscb065 scaleb 7.50 -1 -> 0.750
dqscb066 scaleb -7.50 -1 -> -0.750
dqscb067 scaleb 7.500 -1 -> 0.7500
dqscb068 scaleb -7.500 -1 -> -0.7500
dqscb071 scaleb 7 0 -> 7
dqscb072 scaleb -7 0 -> -7
dqscb073 scaleb 75 0 -> 75
dqscb074 scaleb -75 0 -> -75
dqscb075 scaleb 7.50 0 -> 7.50
dqscb076 scaleb -7.50 0 -> -7.50
dqscb077 scaleb 7.500 0 -> 7.500
dqscb078 scaleb -7.500 0 -> -7.500
dqscb081 scaleb 7 1 -> 7E+1
dqscb082 scaleb -7 1 -> -7E+1
dqscb083 scaleb 75 1 -> 7.5E+2
dqscb084 scaleb -75 1 -> -7.5E+2
dqscb085 scaleb 7.50 1 -> 75.0
dqscb086 scaleb -7.50 1 -> -75.0
dqscb087 scaleb 7.500 1 -> 75.00
dqscb088 scaleb -7.500 1 -> -75.00
dqscb091 scaleb 7 2 -> 7E+2
dqscb092 scaleb -7 2 -> -7E+2
dqscb093 scaleb 75 2 -> 7.5E+3
dqscb094 scaleb -75 2 -> -7.5E+3
dqscb095 scaleb 7.50 2 -> 750
dqscb096 scaleb -7.50 2 -> -750
dqscb097 scaleb 7.500 2 -> 750.0
dqscb098 scaleb -7.500 2 -> -750.0
-- zeros
dqscb111 scaleb 0 1 -> 0E+1
dqscb112 scaleb -0 2 -> -0E+2
dqscb113 scaleb 0E+4 3 -> 0E+7
dqscb114 scaleb -0E+4 4 -> -0E+8
dqscb115 scaleb 0.0000 5 -> 0E+1
dqscb116 scaleb -0.0000 6 -> -0E+2
dqscb117 scaleb 0E-141 7 -> 0E-134
dqscb118 scaleb -0E-141 8 -> -0E-133
-- Nmax, Nmin, Ntiny
dqscb132 scaleb 9.999999999999999999999999999999999E+6144 +6144 -> Infinity Overflow Inexact Rounded
dqscb133 scaleb 9.999999999999999999999999999999999E+6144 +10 -> Infinity Overflow Inexact Rounded
dqscb134 scaleb 9.999999999999999999999999999999999E+6144 +1 -> Infinity Overflow Inexact Rounded
dqscb135 scaleb 9.999999999999999999999999999999999E+6144 0 -> 9.999999999999999999999999999999999E+6144
dqscb136 scaleb 9.999999999999999999999999999999999E+6144 -1 -> 9.999999999999999999999999999999999E+6143
dqscb137 scaleb 1E-6143 +1 -> 1E-6142
dqscb1614 scaleb 1E-6143 -0 -> 1E-6143
dqscb139 scaleb 1E-6143 -1 -> 1E-6144 Subnormal
dqscb140 scaleb 1.000000000000000000000000000000000E-6143 +1 -> 1.000000000000000000000000000000000E-6142
dqscb141 scaleb 1.000000000000000000000000000000000E-6143 0 -> 1.000000000000000000000000000000000E-6143
dqscb142 scaleb 1.000000000000000000000000000000000E-6143 -1 -> 1.00000000000000000000000000000000E-6144 Subnormal Rounded
dqscb143 scaleb 1E-6176 +1 -> 1E-6175 Subnormal
dqscb144 scaleb 1E-6176 -0 -> 1E-6176 Subnormal
dqscb145 scaleb 1E-6176 -1 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqscb150 scaleb -1E-6176 +1 -> -1E-6175 Subnormal
dqscb151 scaleb -1E-6176 -0 -> -1E-6176 Subnormal
dqscb152 scaleb -1E-6176 -1 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqscb153 scaleb -1.000000000000000000000000000000000E-6143 +1 -> -1.000000000000000000000000000000000E-6142
dqscb154 scaleb -1.000000000000000000000000000000000E-6143 +0 -> -1.000000000000000000000000000000000E-6143
dqscb155 scaleb -1.000000000000000000000000000000000E-6143 -1 -> -1.00000000000000000000000000000000E-6144 Subnormal Rounded
dqscb156 scaleb -1E-6143 +1 -> -1E-6142
dqscb157 scaleb -1E-6143 -0 -> -1E-6143
dqscb158 scaleb -1E-6143 -1 -> -1E-6144 Subnormal
dqscb159 scaleb -9.999999999999999999999999999999999E+6144 +1 -> -Infinity Overflow Inexact Rounded
dqscb160 scaleb -9.999999999999999999999999999999999E+6144 +0 -> -9.999999999999999999999999999999999E+6144
dqscb161 scaleb -9.999999999999999999999999999999999E+6144 -1 -> -9.999999999999999999999999999999999E+6143
dqscb162 scaleb -9E+6144 +1 -> -Infinity Overflow Inexact Rounded
dqscb163 scaleb -1E+6144 +1 -> -Infinity Overflow Inexact Rounded
-- some Origami
-- (these check that overflow is being done correctly)
dqscb171 scaleb 1000E+6109 +1 -> 1.000E+6113
dqscb172 scaleb 1000E+6110 +1 -> 1.000E+6114
dqscb173 scaleb 1000E+6111 +1 -> 1.0000E+6115 Clamped
dqscb174 scaleb 1000E+6112 +1 -> 1.00000E+6116 Clamped
dqscb175 scaleb 1000E+6113 +1 -> 1.000000E+6117 Clamped
dqscb176 scaleb 1000E+6114 +1 -> 1.0000000E+6118 Clamped
dqscb177 scaleb 1000E+6131 +1 -> 1.000000000000000000000000E+6135 Clamped
dqscb178 scaleb 1000E+6132 +1 -> 1.0000000000000000000000000E+6136 Clamped
dqscb179 scaleb 1000E+6133 +1 -> 1.00000000000000000000000000E+6137 Clamped
dqscb180 scaleb 1000E+6134 +1 -> 1.000000000000000000000000000E+6138 Clamped
dqscb181 scaleb 1000E+6135 +1 -> 1.0000000000000000000000000000E+6139 Clamped
dqscb182 scaleb 1000E+6136 +1 -> 1.00000000000000000000000000000E+6140 Clamped
dqscb183 scaleb 1000E+6137 +1 -> 1.000000000000000000000000000000E+6141 Clamped
dqscb184 scaleb 1000E+6138 +1 -> 1.0000000000000000000000000000000E+6142 Clamped
dqscb185 scaleb 1000E+6139 +1 -> 1.00000000000000000000000000000000E+6143 Clamped
dqscb186 scaleb 1000E+6140 +1 -> 1.000000000000000000000000000000000E+6144 Clamped
dqscb187 scaleb 1000E+6141 +1 -> Infinity Overflow Inexact Rounded
-- and a few more subnormal truncations
-- (these check that underflow is being done correctly)
dqscb221 scaleb 1.000000000000000000000000000000000E-6143 0 -> 1.000000000000000000000000000000000E-6143
dqscb222 scaleb 1.000000000000000000000000000000000E-6143 -1 -> 1.00000000000000000000000000000000E-6144 Subnormal Rounded
dqscb223 scaleb 1.000000000000000000000000000000000E-6143 -2 -> 1.0000000000000000000000000000000E-6145 Subnormal Rounded
dqscb224 scaleb 1.000000000000000000000000000000000E-6143 -3 -> 1.000000000000000000000000000000E-6146 Subnormal Rounded
dqscb225 scaleb 1.000000000000000000000000000000000E-6143 -4 -> 1.00000000000000000000000000000E-6147 Subnormal Rounded
dqscb226 scaleb 1.000000000000000000000000000000000E-6143 -5 -> 1.0000000000000000000000000000E-6148 Subnormal Rounded
dqscb227 scaleb 1.000000000000000000000000000000000E-6143 -6 -> 1.000000000000000000000000000E-6149 Subnormal Rounded
dqscb228 scaleb 1.000000000000000000000000000000000E-6143 -7 -> 1.00000000000000000000000000E-6150 Subnormal Rounded
dqscb229 scaleb 1.000000000000000000000000000000000E-6143 -8 -> 1.0000000000000000000000000E-6151 Subnormal Rounded
dqscb230 scaleb 1.000000000000000000000000000000000E-6143 -9 -> 1.000000000000000000000000E-6152 Subnormal Rounded
dqscb231 scaleb 1.000000000000000000000000000000000E-6143 -10 -> 1.00000000000000000000000E-6153 Subnormal Rounded
dqscb232 scaleb 1.000000000000000000000000000000000E-6143 -11 -> 1.0000000000000000000000E-6154 Subnormal Rounded
dqscb233 scaleb 1.000000000000000000000000000000000E-6143 -12 -> 1.000000000000000000000E-6155 Subnormal Rounded
dqscb234 scaleb 1.000000000000000000000000000000000E-6143 -13 -> 1.00000000000000000000E-6156 Subnormal Rounded
dqscb235 scaleb 1.000000000000000000000000000000000E-6143 -14 -> 1.0000000000000000000E-6157 Subnormal Rounded
dqscb236 scaleb 1.000000000000000000000000000000000E-6143 -15 -> 1.000000000000000000E-6158 Subnormal Rounded
dqscb237 scaleb 1.000000000000000000000000000000000E-6143 -16 -> 1.00000000000000000E-6159 Subnormal Rounded
dqscb238 scaleb 1.000000000000000000000000000000000E-6143 -17 -> 1.0000000000000000E-6160 Subnormal Rounded
dqscb239 scaleb 1.000000000000000000000000000000000E-6143 -18 -> 1.000000000000000E-6161 Subnormal Rounded
dqscb202 scaleb 1.000000000000000000000000000000000E-6143 -19 -> 1.00000000000000E-6162 Subnormal Rounded
dqscb203 scaleb 1.000000000000000000000000000000000E-6143 -20 -> 1.0000000000000E-6163 Subnormal Rounded
dqscb204 scaleb 1.000000000000000000000000000000000E-6143 -21 -> 1.000000000000E-6164 Subnormal Rounded
dqscb205 scaleb 1.000000000000000000000000000000000E-6143 -22 -> 1.00000000000E-6165 Subnormal Rounded
dqscb206 scaleb 1.000000000000000000000000000000000E-6143 -23 -> 1.0000000000E-6166 Subnormal Rounded
dqscb207 scaleb 1.000000000000000000000000000000000E-6143 -24 -> 1.000000000E-6167 Subnormal Rounded
dqscb208 scaleb 1.000000000000000000000000000000000E-6143 -25 -> 1.00000000E-6168 Subnormal Rounded
dqscb209 scaleb 1.000000000000000000000000000000000E-6143 -26 -> 1.0000000E-6169 Subnormal Rounded
dqscb210 scaleb 1.000000000000000000000000000000000E-6143 -27 -> 1.000000E-6170 Subnormal Rounded
dqscb211 scaleb 1.000000000000000000000000000000000E-6143 -28 -> 1.00000E-6171 Subnormal Rounded
dqscb212 scaleb 1.000000000000000000000000000000000E-6143 -29 -> 1.0000E-6172 Subnormal Rounded
dqscb213 scaleb 1.000000000000000000000000000000000E-6143 -30 -> 1.000E-6173 Subnormal Rounded
dqscb214 scaleb 1.000000000000000000000000000000000E-6143 -31 -> 1.00E-6174 Subnormal Rounded
dqscb215 scaleb 1.000000000000000000000000000000000E-6143 -32 -> 1.0E-6175 Subnormal Rounded
dqscb216 scaleb 1.000000000000000000000000000000000E-6143 -33 -> 1E-6176 Subnormal Rounded
dqscb217 scaleb 1.000000000000000000000000000000000E-6143 -34 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped
dqscb218 scaleb 1.000000000000000000000000000000000E-6143 -35 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped