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------------------------------------------------------------------------
-- logb.decTest -- return integral adjusted exponent as per 754r --
-- Copyright (c) IBM Corporation, 2005, 2009. 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
-- This emphasises the testing of notable cases, as they will often
-- have unusual paths (especially the 10**n results).
extended: 1
rounding: half_even
maxExponent: 999
minexponent: -999
-- basics & examples
precision: 9
logbx001 logb 0 -> -Infinity Division_by_zero
logbx002 logb 1E-999 -> -999
logbx003 logb 9E-999 -> -999
logbx004 logb 0.001 -> -3
logbx005 logb 0.03 -> -2
logbx006 logb 1 -> 0
logbx007 logb 2 -> 0
logbx008 logb 2.5 -> 0
logbx009 logb 2.50 -> 0
logbx010 logb 10 -> 1
logbx011 logb 70 -> 1
logbx012 logb 100 -> 2
logbx013 logb 250 -> 2
logbx014 logb +Infinity -> Infinity
-- negatives are treated as positives
logbx021 logb -0 -> -Infinity Division_by_zero
logbx022 logb -1E-999 -> -999
logbx023 logb -9E-999 -> -999
logbx024 logb -0.001 -> -3
logbx025 logb -1 -> 0
logbx026 logb -2 -> 0
logbx027 logb -10 -> 1
logbx028 logb -70 -> 1
logbx029 logb -100 -> 2
logbx030 logb -100000000 -> 8
logbx031 logb -Infinity -> Infinity
-- zeros
logbx111 logb 0 -> -Infinity Division_by_zero
logbx112 logb -0 -> -Infinity Division_by_zero
logbx113 logb 0E+4 -> -Infinity Division_by_zero
logbx114 logb -0E+4 -> -Infinity Division_by_zero
logbx115 logb 0.0000 -> -Infinity Division_by_zero
logbx116 logb -0.0000 -> -Infinity Division_by_zero
logbx117 logb 0E-141 -> -Infinity Division_by_zero
logbx118 logb -0E-141 -> -Infinity Division_by_zero
-- full coefficients, alternating bits
logbx121 logb 268268268 -> 8
logbx122 logb -268268268 -> 8
logbx123 logb 134134134 -> 8
logbx124 logb -134134134 -> 8
-- Nmax, Nmin, Ntiny
logbx131 logb 9.99999999E+999 -> 999
logbx132 logb 1E-999 -> -999
logbx133 logb 1.00000000E-999 -> -999
logbx134 logb 1E-1007 -> -1007
logbx135 logb -1E-1007 -> -1007
logbx136 logb -1.00000000E-999 -> -999
logbx137 logb -1E-999 -> -999
logbx138 logb -9.99999999E+999 -> 999
-- ones
logbx0061 logb 1 -> 0
logbx0062 logb 1.0 -> 0
logbx0063 logb 1.000000000000000 -> 0
logbx0064 logb 1.000000000000000000 -> 0
-- notable cases -- exact powers of 10
logbx1100 logb 1 -> 0
logbx1101 logb 10 -> 1
logbx1102 logb 100 -> 2
logbx1103 logb 1000 -> 3
logbx1104 logb 10000 -> 4
logbx1105 logb 100000 -> 5
logbx1106 logb 1000000 -> 6
logbx1107 logb 10000000 -> 7
logbx1108 logb 100000000 -> 8
logbx1109 logb 1000000000 -> 9
logbx1110 logb 10000000000 -> 10
logbx1111 logb 100000000000 -> 11
logbx1112 logb 1000000000000 -> 12
logbx1113 logb 0.00000000001 -> -11
logbx1114 logb 0.0000000001 -> -10
logbx1115 logb 0.000000001 -> -9
logbx1116 logb 0.00000001 -> -8
logbx1117 logb 0.0000001 -> -7
logbx1118 logb 0.000001 -> -6
logbx1119 logb 0.00001 -> -5
logbx1120 logb 0.0001 -> -4
logbx1121 logb 0.001 -> -3
logbx1122 logb 0.01 -> -2
logbx1123 logb 0.1 -> -1
logbx1124 logb 1E-99 -> -99
logbx1125 logb 1E-100 -> -100
logbx1126 logb 1E-383 -> -383
logbx1127 logb 1E-999 -> -999
-- suggestions from Ilan Nehama
logbx1400 logb 10E-3 -> -2
logbx1401 logb 10E-2 -> -1
logbx1402 logb 100E-2 -> 0
logbx1403 logb 1000E-2 -> 1
logbx1404 logb 10000E-2 -> 2
logbx1405 logb 10E-1 -> 0
logbx1406 logb 100E-1 -> 1
logbx1407 logb 1000E-1 -> 2
logbx1408 logb 10000E-1 -> 3
logbx1409 logb 10E0 -> 1
logbx1410 logb 100E0 -> 2
logbx1411 logb 1000E0 -> 3
logbx1412 logb 10000E0 -> 4
logbx1413 logb 10E1 -> 2
logbx1414 logb 100E1 -> 3
logbx1415 logb 1000E1 -> 4
logbx1416 logb 10000E1 -> 5
logbx1417 logb 10E2 -> 3
logbx1418 logb 100E2 -> 4
logbx1419 logb 1000E2 -> 5
logbx1420 logb 10000E2 -> 6
-- inexacts
precision: 2
logbx1500 logb 10000E2 -> 6
logbx1501 logb 1E+99 -> 99
logbx1502 logb 1E-99 -> -99
logbx1503 logb 1E+100 -> 1.0E+2 Rounded
logbx1504 logb 1E+999 -> 1.0E+3 Inexact Rounded
logbx1505 logb 1E-100 -> -1.0E+2 Rounded
logbx1506 logb 1E-999 -> -1.0E+3 Inexact Rounded
logbx1507 logb 1E-1111 -> -1.1E+3 Inexact Rounded
logbx1508 logb 1E-3333 -> -3.3E+3 Inexact Rounded
logbx1509 logb 1E-6666 -> -6.7E+3 Inexact Rounded
logbx1510 logb 1E+999999999 -> 1.0E+9 Inexact Rounded
logbx1511 logb 1E-999999999 -> -1.0E+9 Inexact Rounded
precision: 1
logbx1517 logb 1E-1111 -> -1E+3 Inexact Rounded
logbx1518 logb 1E-3333 -> -3E+3 Inexact Rounded
logbx1519 logb 1E-6666 -> -7E+3 Inexact Rounded
precision: 8
logbx1520 logb 1E+999999999 -> 1.0000000E+9 Inexact Rounded
logbx1521 logb 1E-999999999 -> -1.0000000E+9 Inexact Rounded
precision: 9
logbx1523 logb 1E+999999999 -> 999999999
logbx1524 logb 1E-999999999 -> -999999999
-- special values
precision: 9
logbx820 logb Infinity -> Infinity
logbx821 logb -Infinity -> Infinity
logbx822 logb 0 -> -Infinity Division_by_zero
logbx823 logb NaN -> NaN
logbx824 logb sNaN -> NaN Invalid_operation
-- propagating NaNs
logbx825 logb sNaN123 -> NaN123 Invalid_operation
logbx826 logb -sNaN321 -> -NaN321 Invalid_operation
logbx827 logb NaN456 -> NaN456
logbx828 logb -NaN654 -> -NaN654
logbx829 logb NaN1 -> NaN1
-- Null test
logbx900 logb # -> NaN Invalid_operation