------------------------------------------------------------------------

-- 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: 2.58



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





