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✏️ ddScaleB.decTest
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------------------------------------------------------------------------ -- ddScalebB.decTest -- scale a decDouble 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 precision: 16 maxExponent: 384 minExponent: -383 extended: 1 clamp: 1 rounding: half_even -- Max |rhs| is 2*(384+16) = 800 -- Sanity checks ddscb001 scaleb 7.50 10 -> 7.50E+10 ddscb002 scaleb 7.50 3 -> 7.50E+3 ddscb003 scaleb 7.50 2 -> 750 ddscb004 scaleb 7.50 1 -> 75.0 ddscb005 scaleb 7.50 0 -> 7.50 ddscb006 scaleb 7.50 -1 -> 0.750 ddscb007 scaleb 7.50 -2 -> 0.0750 ddscb008 scaleb 7.50 -10 -> 7.50E-10 ddscb009 scaleb -7.50 3 -> -7.50E+3 ddscb010 scaleb -7.50 2 -> -750 ddscb011 scaleb -7.50 1 -> -75.0 ddscb012 scaleb -7.50 0 -> -7.50 ddscb013 scaleb -7.50 -1 -> -0.750 -- Infinities ddscb014 scaleb Infinity 1 -> Infinity ddscb015 scaleb -Infinity 2 -> -Infinity ddscb016 scaleb Infinity -1 -> Infinity ddscb017 scaleb -Infinity -2 -> -Infinity -- Next two are somewhat undefined in 754r; treat as non-integer ddscb018 scaleb 10 Infinity -> NaN Invalid_operation ddscb019 scaleb 10 -Infinity -> NaN Invalid_operation -- NaNs are undefined in 754r; assume usual processing -- NaNs, 0 payload ddscb021 scaleb NaN 1 -> NaN ddscb022 scaleb -NaN -1 -> -NaN ddscb023 scaleb sNaN 1 -> NaN Invalid_operation ddscb024 scaleb -sNaN 1 -> -NaN Invalid_operation ddscb025 scaleb 4 NaN -> NaN ddscb026 scaleb -Inf -NaN -> -NaN ddscb027 scaleb 4 sNaN -> NaN Invalid_operation ddscb028 scaleb Inf -sNaN -> -NaN Invalid_operation -- non-integer RHS ddscb030 scaleb 1.23 1 -> 12.3 ddscb031 scaleb 1.23 1.00 -> NaN Invalid_operation ddscb032 scaleb 1.23 1.1 -> NaN Invalid_operation ddscb033 scaleb 1.23 1.01 -> NaN Invalid_operation ddscb034 scaleb 1.23 0.01 -> NaN Invalid_operation ddscb035 scaleb 1.23 0.11 -> NaN Invalid_operation ddscb036 scaleb 1.23 0.999999999 -> NaN Invalid_operation ddscb037 scaleb 1.23 -1 -> 0.123 ddscb038 scaleb 1.23 -1.00 -> NaN Invalid_operation ddscb039 scaleb 1.23 -1.1 -> NaN Invalid_operation ddscb040 scaleb 1.23 -1.01 -> NaN Invalid_operation ddscb041 scaleb 1.23 -0.01 -> NaN Invalid_operation ddscb042 scaleb 1.23 -0.11 -> NaN Invalid_operation ddscb043 scaleb 1.23 -0.999999999 -> NaN Invalid_operation ddscb044 scaleb 1.23 0.1 -> NaN Invalid_operation ddscb045 scaleb 1.23 1E+1 -> NaN Invalid_operation ddscb046 scaleb 1.23 1.1234E+6 -> NaN Invalid_operation ddscb047 scaleb 1.23 1.123E+4 -> NaN Invalid_operation -- out-of range RHS ddscb120 scaleb 1.23 799 -> Infinity Overflow Inexact Rounded ddscb121 scaleb 1.23 800 -> Infinity Overflow Inexact Rounded ddscb122 scaleb 1.23 801 -> NaN Invalid_operation ddscb123 scaleb 1.23 802 -> NaN Invalid_operation ddscb124 scaleb 1.23 -799 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped ddscb125 scaleb 1.23 -800 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped ddscb126 scaleb 1.23 -801 -> NaN Invalid_operation ddscb127 scaleb 1.23 -802 -> NaN Invalid_operation -- NaNs, non-0 payload -- propagating NaNs ddscb861 scaleb NaN01 -Inf -> NaN1 ddscb862 scaleb -NaN02 -1000 -> -NaN2 ddscb863 scaleb NaN03 1000 -> NaN3 ddscb864 scaleb NaN04 Inf -> NaN4 ddscb865 scaleb NaN05 NaN61 -> NaN5 ddscb866 scaleb -Inf -NaN71 -> -NaN71 ddscb867 scaleb -1000 NaN81 -> NaN81 ddscb868 scaleb 1000 NaN91 -> NaN91 ddscb869 scaleb Inf NaN101 -> NaN101 ddscb871 scaleb sNaN011 -Inf -> NaN11 Invalid_operation ddscb872 scaleb sNaN012 -1000 -> NaN12 Invalid_operation ddscb873 scaleb -sNaN013 1000 -> -NaN13 Invalid_operation ddscb874 scaleb sNaN014 NaN171 -> NaN14 Invalid_operation ddscb875 scaleb sNaN015 sNaN181 -> NaN15 Invalid_operation ddscb876 scaleb NaN016 sNaN191 -> NaN191 Invalid_operation ddscb877 scaleb -Inf sNaN201 -> NaN201 Invalid_operation ddscb878 scaleb -1000 sNaN211 -> NaN211 Invalid_operation ddscb879 scaleb 1000 -sNaN221 -> -NaN221 Invalid_operation ddscb880 scaleb Inf sNaN231 -> NaN231 Invalid_operation ddscb881 scaleb NaN025 sNaN241 -> NaN241 Invalid_operation -- finites ddscb051 scaleb 7 -2 -> 0.07 ddscb052 scaleb -7 -2 -> -0.07 ddscb053 scaleb 75 -2 -> 0.75 ddscb054 scaleb -75 -2 -> -0.75 ddscb055 scaleb 7.50 -2 -> 0.0750 ddscb056 scaleb -7.50 -2 -> -0.0750 ddscb057 scaleb 7.500 -2 -> 0.07500 ddscb058 scaleb -7.500 -2 -> -0.07500 ddscb061 scaleb 7 -1 -> 0.7 ddscb062 scaleb -7 -1 -> -0.7 ddscb063 scaleb 75 -1 -> 7.5 ddscb064 scaleb -75 -1 -> -7.5 ddscb065 scaleb 7.50 -1 -> 0.750 ddscb066 scaleb -7.50 -1 -> -0.750 ddscb067 scaleb 7.500 -1 -> 0.7500 ddscb068 scaleb -7.500 -1 -> -0.7500 ddscb071 scaleb 7 0 -> 7 ddscb072 scaleb -7 0 -> -7 ddscb073 scaleb 75 0 -> 75 ddscb074 scaleb -75 0 -> -75 ddscb075 scaleb 7.50 0 -> 7.50 ddscb076 scaleb -7.50 0 -> -7.50 ddscb077 scaleb 7.500 0 -> 7.500 ddscb078 scaleb -7.500 0 -> -7.500 ddscb081 scaleb 7 1 -> 7E+1 ddscb082 scaleb -7 1 -> -7E+1 ddscb083 scaleb 75 1 -> 7.5E+2 ddscb084 scaleb -75 1 -> -7.5E+2 ddscb085 scaleb 7.50 1 -> 75.0 ddscb086 scaleb -7.50 1 -> -75.0 ddscb087 scaleb 7.500 1 -> 75.00 ddscb088 scaleb -7.500 1 -> -75.00 ddscb091 scaleb 7 2 -> 7E+2 ddscb092 scaleb -7 2 -> -7E+2 ddscb093 scaleb 75 2 -> 7.5E+3 ddscb094 scaleb -75 2 -> -7.5E+3 ddscb095 scaleb 7.50 2 -> 750 ddscb096 scaleb -7.50 2 -> -750 ddscb097 scaleb 7.500 2 -> 750.0 ddscb098 scaleb -7.500 2 -> -750.0 -- zeros ddscb111 scaleb 0 1 -> 0E+1 ddscb112 scaleb -0 2 -> -0E+2 ddscb113 scaleb 0E+4 3 -> 0E+7 ddscb114 scaleb -0E+4 4 -> -0E+8 ddscb115 scaleb 0.0000 5 -> 0E+1 ddscb116 scaleb -0.0000 6 -> -0E+2 ddscb117 scaleb 0E-141 7 -> 0E-134 ddscb118 scaleb -0E-141 8 -> -0E-133 -- Nmax, Nmin, Ntiny ddscb132 scaleb 9.999999999999999E+384 +384 -> Infinity Overflow Inexact Rounded ddscb133 scaleb 9.999999999999999E+384 +10 -> Infinity Overflow Inexact Rounded ddscb134 scaleb 9.999999999999999E+384 +1 -> Infinity Overflow Inexact Rounded ddscb135 scaleb 9.999999999999999E+384 0 -> 9.999999999999999E+384 ddscb136 scaleb 9.999999999999999E+384 -1 -> 9.999999999999999E+383 ddscb137 scaleb 1E-383 +1 -> 1E-382 ddscb138 scaleb 1E-383 -0 -> 1E-383 ddscb139 scaleb 1E-383 -1 -> 1E-384 Subnormal ddscb140 scaleb 1.000000000000000E-383 +1 -> 1.000000000000000E-382 ddscb141 scaleb 1.000000000000000E-383 0 -> 1.000000000000000E-383 ddscb142 scaleb 1.000000000000000E-383 -1 -> 1.00000000000000E-384 Subnormal Rounded ddscb143 scaleb 1E-398 +1 -> 1E-397 Subnormal ddscb144 scaleb 1E-398 -0 -> 1E-398 Subnormal ddscb145 scaleb 1E-398 -1 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped ddscb150 scaleb -1E-398 +1 -> -1E-397 Subnormal ddscb151 scaleb -1E-398 -0 -> -1E-398 Subnormal ddscb152 scaleb -1E-398 -1 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped ddscb153 scaleb -1.000000000000000E-383 +1 -> -1.000000000000000E-382 ddscb154 scaleb -1.000000000000000E-383 +0 -> -1.000000000000000E-383 ddscb155 scaleb -1.000000000000000E-383 -1 -> -1.00000000000000E-384 Subnormal Rounded ddscb156 scaleb -1E-383 +1 -> -1E-382 ddscb157 scaleb -1E-383 -0 -> -1E-383 ddscb158 scaleb -1E-383 -1 -> -1E-384 Subnormal ddscb159 scaleb -9.999999999999999E+384 +1 -> -Infinity Overflow Inexact Rounded ddscb160 scaleb -9.999999999999999E+384 +0 -> -9.999999999999999E+384 ddscb161 scaleb -9.999999999999999E+384 -1 -> -9.999999999999999E+383 ddscb162 scaleb -9E+384 +1 -> -Infinity Overflow Inexact Rounded ddscb163 scaleb -1E+384 +1 -> -Infinity Overflow Inexact Rounded -- some Origami -- (these check that overflow is being done correctly) ddscb171 scaleb 1000E+365 +1 -> 1.000E+369 ddscb172 scaleb 1000E+366 +1 -> 1.000E+370 ddscb173 scaleb 1000E+367 +1 -> 1.000E+371 ddscb174 scaleb 1000E+368 +1 -> 1.000E+372 ddscb175 scaleb 1000E+369 +1 -> 1.0000E+373 Clamped ddscb176 scaleb 1000E+370 +1 -> 1.00000E+374 Clamped ddscb177 scaleb 1000E+371 +1 -> 1.000000E+375 Clamped ddscb178 scaleb 1000E+372 +1 -> 1.0000000E+376 Clamped ddscb179 scaleb 1000E+373 +1 -> 1.00000000E+377 Clamped ddscb180 scaleb 1000E+374 +1 -> 1.000000000E+378 Clamped ddscb181 scaleb 1000E+375 +1 -> 1.0000000000E+379 Clamped ddscb182 scaleb 1000E+376 +1 -> 1.00000000000E+380 Clamped ddscb183 scaleb 1000E+377 +1 -> 1.000000000000E+381 Clamped ddscb184 scaleb 1000E+378 +1 -> 1.0000000000000E+382 Clamped ddscb185 scaleb 1000E+379 +1 -> 1.00000000000000E+383 Clamped ddscb186 scaleb 1000E+380 +1 -> 1.000000000000000E+384 Clamped ddscb187 scaleb 1000E+381 +1 -> Infinity Overflow Inexact Rounded -- and a few more subnormal truncations -- (these check that underflow is being done correctly) ddscb201 scaleb 1.000000000000000E-383 0 -> 1.000000000000000E-383 ddscb202 scaleb 1.000000000000000E-383 -1 -> 1.00000000000000E-384 Subnormal Rounded ddscb203 scaleb 1.000000000000000E-383 -2 -> 1.0000000000000E-385 Subnormal Rounded ddscb204 scaleb 1.000000000000000E-383 -3 -> 1.000000000000E-386 Subnormal Rounded ddscb205 scaleb 1.000000000000000E-383 -4 -> 1.00000000000E-387 Subnormal Rounded ddscb206 scaleb 1.000000000000000E-383 -5 -> 1.0000000000E-388 Subnormal Rounded ddscb207 scaleb 1.000000000000000E-383 -6 -> 1.000000000E-389 Subnormal Rounded ddscb208 scaleb 1.000000000000000E-383 -7 -> 1.00000000E-390 Subnormal Rounded ddscb209 scaleb 1.000000000000000E-383 -8 -> 1.0000000E-391 Subnormal Rounded ddscb210 scaleb 1.000000000000000E-383 -9 -> 1.000000E-392 Subnormal Rounded ddscb211 scaleb 1.000000000000000E-383 -10 -> 1.00000E-393 Subnormal Rounded ddscb212 scaleb 1.000000000000000E-383 -11 -> 1.0000E-394 Subnormal Rounded ddscb213 scaleb 1.000000000000000E-383 -12 -> 1.000E-395 Subnormal Rounded ddscb214 scaleb 1.000000000000000E-383 -13 -> 1.00E-396 Subnormal Rounded ddscb215 scaleb 1.000000000000000E-383 -14 -> 1.0E-397 Subnormal Rounded ddscb216 scaleb 1.000000000000000E-383 -15 -> 1E-398 Subnormal Rounded ddscb217 scaleb 1.000000000000000E-383 -16 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped ddscb218 scaleb 1.000000000000000E-383 -17 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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