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✏️ dqScaleB.decTest
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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 -- -- mfc@uk.ibm.com -- ------------------------------------------------------------------------ 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
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