------------------------------------------------------------------------
-- dqLogB.decTest -- integral 754r adjusted exponent, for decQuads --
-- 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
extended: 1
clamp: 1
precision: 34
maxExponent: 6144
minExponent: -6143
rounding: half_even
-- basics
dqlogb000 logb 0 -> -Infinity Division_by_zero
dqlogb001 logb 1E-6176 -> -6176
dqlogb002 logb 1E-6143 -> -6143
dqlogb003 logb 0.001 -> -3
dqlogb004 logb 0.03 -> -2
dqlogb005 logb 1 -> 0
dqlogb006 logb 2 -> 0
dqlogb007 logb 2.5 -> 0
dqlogb008 logb 2.50 -> 0
dqlogb009 logb 2.500 -> 0
dqlogb010 logb 10 -> 1
dqlogb011 logb 70 -> 1
dqlogb012 logb 100 -> 2
dqlogb013 logb 250 -> 2
dqlogb014 logb 9E+6144 -> 6144
dqlogb015 logb +Infinity -> Infinity
-- negatives appear to be treated as positives
dqlogb021 logb -0 -> -Infinity Division_by_zero
dqlogb022 logb -1E-6176 -> -6176
dqlogb023 logb -9E-6143 -> -6143
dqlogb024 logb -0.001 -> -3
dqlogb025 logb -1 -> 0
dqlogb026 logb -2 -> 0
dqlogb027 logb -10 -> 1
dqlogb028 logb -70 -> 1
dqlogb029 logb -100 -> 2
dqlogb030 logb -9E+6144 -> 6144
dqlogb031 logb -Infinity -> Infinity
-- zeros
dqlogb111 logb 0 -> -Infinity Division_by_zero
dqlogb112 logb -0 -> -Infinity Division_by_zero
dqlogb113 logb 0E+4 -> -Infinity Division_by_zero
dqlogb114 logb -0E+4 -> -Infinity Division_by_zero
dqlogb115 logb 0.0000 -> -Infinity Division_by_zero
dqlogb116 logb -0.0000 -> -Infinity Division_by_zero
dqlogb117 logb 0E-141 -> -Infinity Division_by_zero
dqlogb118 logb -0E-141 -> -Infinity Division_by_zero
-- full coefficients, alternating bits
dqlogb121 logb 268268268 -> 8
dqlogb122 logb -268268268 -> 8
dqlogb123 logb 134134134 -> 8
dqlogb124 logb -134134134 -> 8
-- Nmax, Nmin, Ntiny
dqlogb131 logb 9.999999999999999999999999999999999E+6144 -> 6144
dqlogb132 logb 1E-6143 -> -6143
dqlogb133 logb 1.000000000000000000000000000000000E-6143 -> -6143
dqlogb134 logb 1E-6176 -> -6176
dqlogb135 logb -1E-6176 -> -6176
dqlogb136 logb -1.000000000000000000000000000000000E-6143 -> -6143
dqlogb137 logb -1E-6143 -> -6143
dqlogb1614 logb -9.999999999999999999999999999999999E+6144 -> 6144
-- ones
dqlogb0061 logb 1 -> 0
dqlogb0062 logb 1.0 -> 0
dqlogb0063 logb 1.000000000000000 -> 0
-- notable cases -- exact powers of 10
dqlogb1100 logb 1 -> 0
dqlogb1101 logb 10 -> 1
dqlogb1102 logb 100 -> 2
dqlogb1103 logb 1000 -> 3
dqlogb1104 logb 10000 -> 4
dqlogb1105 logb 100000 -> 5
dqlogb1106 logb 1000000 -> 6
dqlogb1107 logb 10000000 -> 7
dqlogb1108 logb 100000000 -> 8
dqlogb1109 logb 1000000000 -> 9
dqlogb1110 logb 10000000000 -> 10
dqlogb1111 logb 100000000000 -> 11
dqlogb1112 logb 1000000000000 -> 12
dqlogb1113 logb 0.00000000001 -> -11
dqlogb1114 logb 0.0000000001 -> -10
dqlogb1115 logb 0.000000001 -> -9
dqlogb1116 logb 0.00000001 -> -8
dqlogb1117 logb 0.0000001 -> -7
dqlogb1118 logb 0.000001 -> -6
dqlogb1119 logb 0.00001 -> -5
dqlogb1120 logb 0.0001 -> -4
dqlogb1121 logb 0.001 -> -3
dqlogb1122 logb 0.01 -> -2
dqlogb1123 logb 0.1 -> -1
dqlogb1124 logb 1E-99 -> -99
dqlogb1125 logb 1E-100 -> -100
dqlogb1127 logb 1E-299 -> -299
dqlogb1126 logb 1E-6143 -> -6143
-- suggestions from Ilan Nehama
dqlogb1400 logb 10E-3 -> -2
dqlogb1401 logb 10E-2 -> -1
dqlogb1402 logb 100E-2 -> 0
dqlogb1403 logb 1000E-2 -> 1
dqlogb1404 logb 10000E-2 -> 2
dqlogb1405 logb 10E-1 -> 0
dqlogb1406 logb 100E-1 -> 1
dqlogb1407 logb 1000E-1 -> 2
dqlogb1408 logb 10000E-1 -> 3
dqlogb1409 logb 10E0 -> 1
dqlogb1410 logb 100E0 -> 2
dqlogb1411 logb 1000E0 -> 3
dqlogb1412 logb 10000E0 -> 4
dqlogb1413 logb 10E1 -> 2
dqlogb1414 logb 100E1 -> 3
dqlogb1415 logb 1000E1 -> 4
dqlogb1416 logb 10000E1 -> 5
dqlogb1417 logb 10E2 -> 3
dqlogb1418 logb 100E2 -> 4
dqlogb1419 logb 1000E2 -> 5
dqlogb1420 logb 10000E2 -> 6
-- special values
dqlogb820 logb Infinity -> Infinity
dqlogb821 logb 0 -> -Infinity Division_by_zero
dqlogb822 logb NaN -> NaN
dqlogb823 logb sNaN -> NaN Invalid_operation
-- propagating NaNs
dqlogb824 logb sNaN123 -> NaN123 Invalid_operation
dqlogb825 logb -sNaN321 -> -NaN321 Invalid_operation
dqlogb826 logb NaN456 -> NaN456
dqlogb827 logb -NaN654 -> -NaN654
dqlogb828 logb NaN1 -> NaN1
-- Null test
dqlogb900 logb # -> NaN Invalid_operation