ddLogB.decTest

------------------------------------------------------------------------
-- ddLogB.decTest -- integral 754r adjusted exponent, for decDoubles  --
-- Copyright (c) IBM Corporation, 2005, 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

-- basics
ddlogb000 logb  0                 -> -Infinity  Division_by_zero
ddlogb001 logb  1E-398            -> -398
ddlogb002 logb  1E-383            -> -383
ddlogb003 logb  0.001             -> -3
ddlogb004 logb  0.03              -> -2
ddlogb005 logb  1                 ->  0
ddlogb006 logb  2                 ->  0
ddlogb007 logb  2.5               ->  0
ddlogb008 logb  2.500             ->  0
ddlogb009 logb  10                ->  1
ddlogb010 logb  70                ->  1
ddlogb011 logb  100               ->  2
ddlogb012 logb  333               ->  2
ddlogb013 logb  9E+384            ->  384
ddlogb014 logb +Infinity          ->  Infinity

-- negatives appear to be treated as positives
ddlogb021 logb -0                 -> -Infinity  Division_by_zero
ddlogb022 logb -1E-398            -> -398
ddlogb023 logb -9E-383            -> -383
ddlogb024 logb -0.001             -> -3
ddlogb025 logb -1                 ->  0
ddlogb026 logb -2                 ->  0
ddlogb027 logb -10                ->  1
ddlogb028 logb -70                ->  1
ddlogb029 logb -100               ->  2
ddlogb030 logb -9E+384            ->  384
ddlogb031 logb -Infinity          ->  Infinity

-- zeros
ddlogb111 logb          0   -> -Infinity  Division_by_zero
ddlogb112 logb         -0   -> -Infinity  Division_by_zero
ddlogb113 logb       0E+4   -> -Infinity  Division_by_zero
ddlogb114 logb      -0E+4   -> -Infinity  Division_by_zero
ddlogb115 logb     0.0000   -> -Infinity  Division_by_zero
ddlogb116 logb    -0.0000   -> -Infinity  Division_by_zero
ddlogb117 logb      0E-141  -> -Infinity  Division_by_zero
ddlogb118 logb     -0E-141  -> -Infinity  Division_by_zero

-- full coefficients, alternating bits
ddlogb121 logb   268268268        -> 8
ddlogb122 logb  -268268268        -> 8
ddlogb123 logb   134134134        -> 8
ddlogb124 logb  -134134134        -> 8

-- Nmax, Nmin, Ntiny
ddlogb131 logb  9.999999999999999E+384   ->  384
ddlogb132 logb  1E-383                   -> -383
ddlogb133 logb  1.000000000000000E-383   -> -383
ddlogb134 logb  1E-398                   -> -398

ddlogb135 logb  -1E-398                  -> -398
ddlogb136 logb  -1.000000000000000E-383  -> -383
ddlogb137 logb  -1E-383                  -> -383
ddlogb138 logb  -9.999999999999999E+384  ->  384

-- ones
ddlogb0061 logb  1                 ->   0
ddlogb0062 logb  1.0               ->   0
ddlogb0063 logb  1.000000000000000 ->   0

-- notable cases -- exact powers of 10
ddlogb1100 logb 1             -> 0
ddlogb1101 logb 10            -> 1
ddlogb1102 logb 100           -> 2
ddlogb1103 logb 1000          -> 3
ddlogb1104 logb 10000         -> 4
ddlogb1105 logb 100000        -> 5
ddlogb1106 logb 1000000       -> 6
ddlogb1107 logb 10000000      -> 7
ddlogb1108 logb 100000000     -> 8
ddlogb1109 logb 1000000000    -> 9
ddlogb1110 logb 10000000000   -> 10
ddlogb1111 logb 100000000000  -> 11
ddlogb1112 logb 1000000000000 -> 12
ddlogb1113 logb 0.00000000001 -> -11
ddlogb1114 logb 0.0000000001 -> -10
ddlogb1115 logb 0.000000001 -> -9
ddlogb1116 logb 0.00000001 -> -8
ddlogb1117 logb 0.0000001 -> -7
ddlogb1118 logb 0.000001 -> -6
ddlogb1119 logb 0.00001 -> -5
ddlogb1120 logb 0.0001 -> -4
ddlogb1121 logb 0.001 -> -3
ddlogb1122 logb 0.01 -> -2
ddlogb1123 logb 0.1 -> -1
ddlogb1124 logb 1E-99  -> -99
ddlogb1125 logb 1E-100 -> -100
ddlogb1127 logb 1E-299 -> -299
ddlogb1126 logb 1E-383 -> -383

-- suggestions from Ilan Nehama
ddlogb1400 logb 10E-3    -> -2
ddlogb1401 logb 10E-2    -> -1
ddlogb1402 logb 100E-2   ->  0
ddlogb1403 logb 1000E-2  ->  1
ddlogb1404 logb 10000E-2 ->  2
ddlogb1405 logb 10E-1    ->  0
ddlogb1406 logb 100E-1   ->  1
ddlogb1407 logb 1000E-1  ->  2
ddlogb1408 logb 10000E-1 ->  3
ddlogb1409 logb 10E0     ->  1
ddlogb1410 logb 100E0    ->  2
ddlogb1411 logb 1000E0   ->  3
ddlogb1412 logb 10000E0  ->  4
ddlogb1413 logb 10E1     ->  2
ddlogb1414 logb 100E1    ->  3
ddlogb1415 logb 1000E1   ->  4
ddlogb1416 logb 10000E1  ->  5
ddlogb1417 logb 10E2     ->  3
ddlogb1418 logb 100E2    ->  4
ddlogb1419 logb 1000E2   ->  5
ddlogb1420 logb 10000E2  ->  6

-- special values
ddlogb820  logb   Infinity ->   Infinity
ddlogb821  logb   0        ->  -Infinity Division_by_zero
ddlogb822  logb   NaN      ->   NaN
ddlogb823  logb   sNaN     ->   NaN     Invalid_operation
-- propagating NaNs
ddlogb824  logb   sNaN123  ->   NaN123  Invalid_operation
ddlogb825  logb   -sNaN321 ->  -NaN321  Invalid_operation
ddlogb826  logb   NaN456   ->   NaN456
ddlogb827  logb   -NaN654  ->  -NaN654
ddlogb828  logb   NaN1     ->   NaN1

-- Null test
ddlogb900  logb #   -> NaN Invalid_operation