2007-09-13 15:13:15 -03:00
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------------------------------------------------------------------------
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-- logb.decTest -- return integral adjusted exponent as per 754r --
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2009-10-08 13:28:39 -03:00
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-- Copyright (c) IBM Corporation, 2005, 2009. All rights reserved. --
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2007-09-13 15:13:15 -03:00
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------------------------------------------------------------------------
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-- Please see the document "General Decimal Arithmetic Testcases" --
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-- at http://www2.hursley.ibm.com/decimal for the description of --
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-- these testcases. --
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-- --
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-- These testcases are experimental ('beta' versions), and they --
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-- may contain errors. They are offered on an as-is basis. In --
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-- particular, achieving the same results as the tests here is not --
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-- a guarantee that an implementation complies with any Standard --
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-- or specification. The tests are not exhaustive. --
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-- --
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-- Please send comments, suggestions, and corrections to the author: --
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-- Mike Cowlishaw, IBM Fellow --
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-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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-- mfc@uk.ibm.com --
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------------------------------------------------------------------------
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2009-10-08 13:28:39 -03:00
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version: 2.59
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2007-09-13 15:13:15 -03:00
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-- This emphasises the testing of notable cases, as they will often
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-- have unusual paths (especially the 10**n results).
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extended: 1
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rounding: half_even
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maxExponent: 999
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minexponent: -999
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-- basics & examples
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precision: 9
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logbx001 logb 0 -> -Infinity Division_by_zero
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logbx002 logb 1E-999 -> -999
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logbx003 logb 9E-999 -> -999
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logbx004 logb 0.001 -> -3
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logbx005 logb 0.03 -> -2
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logbx006 logb 1 -> 0
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logbx007 logb 2 -> 0
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logbx008 logb 2.5 -> 0
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logbx009 logb 2.50 -> 0
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logbx010 logb 10 -> 1
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logbx011 logb 70 -> 1
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logbx012 logb 100 -> 2
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logbx013 logb 250 -> 2
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logbx014 logb +Infinity -> Infinity
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-- negatives are treated as positives
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logbx021 logb -0 -> -Infinity Division_by_zero
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logbx022 logb -1E-999 -> -999
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logbx023 logb -9E-999 -> -999
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logbx024 logb -0.001 -> -3
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logbx025 logb -1 -> 0
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logbx026 logb -2 -> 0
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logbx027 logb -10 -> 1
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logbx028 logb -70 -> 1
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logbx029 logb -100 -> 2
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logbx030 logb -100000000 -> 8
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logbx031 logb -Infinity -> Infinity
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-- zeros
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logbx111 logb 0 -> -Infinity Division_by_zero
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logbx112 logb -0 -> -Infinity Division_by_zero
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logbx113 logb 0E+4 -> -Infinity Division_by_zero
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logbx114 logb -0E+4 -> -Infinity Division_by_zero
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logbx115 logb 0.0000 -> -Infinity Division_by_zero
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logbx116 logb -0.0000 -> -Infinity Division_by_zero
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logbx117 logb 0E-141 -> -Infinity Division_by_zero
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logbx118 logb -0E-141 -> -Infinity Division_by_zero
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-- full coefficients, alternating bits
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logbx121 logb 268268268 -> 8
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logbx122 logb -268268268 -> 8
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logbx123 logb 134134134 -> 8
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logbx124 logb -134134134 -> 8
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-- Nmax, Nmin, Ntiny
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logbx131 logb 9.99999999E+999 -> 999
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logbx132 logb 1E-999 -> -999
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logbx133 logb 1.00000000E-999 -> -999
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logbx134 logb 1E-1007 -> -1007
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logbx135 logb -1E-1007 -> -1007
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logbx136 logb -1.00000000E-999 -> -999
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logbx137 logb -1E-999 -> -999
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logbx138 logb -9.99999999E+999 -> 999
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-- ones
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logbx0061 logb 1 -> 0
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logbx0062 logb 1.0 -> 0
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logbx0063 logb 1.000000000000000 -> 0
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logbx0064 logb 1.000000000000000000 -> 0
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-- notable cases -- exact powers of 10
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logbx1100 logb 1 -> 0
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logbx1101 logb 10 -> 1
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logbx1102 logb 100 -> 2
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logbx1103 logb 1000 -> 3
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logbx1104 logb 10000 -> 4
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logbx1105 logb 100000 -> 5
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logbx1106 logb 1000000 -> 6
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logbx1107 logb 10000000 -> 7
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logbx1108 logb 100000000 -> 8
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logbx1109 logb 1000000000 -> 9
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logbx1110 logb 10000000000 -> 10
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logbx1111 logb 100000000000 -> 11
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logbx1112 logb 1000000000000 -> 12
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logbx1113 logb 0.00000000001 -> -11
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logbx1114 logb 0.0000000001 -> -10
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logbx1115 logb 0.000000001 -> -9
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logbx1116 logb 0.00000001 -> -8
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logbx1117 logb 0.0000001 -> -7
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logbx1118 logb 0.000001 -> -6
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logbx1119 logb 0.00001 -> -5
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logbx1120 logb 0.0001 -> -4
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logbx1121 logb 0.001 -> -3
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logbx1122 logb 0.01 -> -2
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logbx1123 logb 0.1 -> -1
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logbx1124 logb 1E-99 -> -99
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logbx1125 logb 1E-100 -> -100
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logbx1126 logb 1E-383 -> -383
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logbx1127 logb 1E-999 -> -999
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-- suggestions from Ilan Nehama
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logbx1400 logb 10E-3 -> -2
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logbx1401 logb 10E-2 -> -1
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logbx1402 logb 100E-2 -> 0
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logbx1403 logb 1000E-2 -> 1
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logbx1404 logb 10000E-2 -> 2
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logbx1405 logb 10E-1 -> 0
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logbx1406 logb 100E-1 -> 1
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logbx1407 logb 1000E-1 -> 2
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logbx1408 logb 10000E-1 -> 3
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logbx1409 logb 10E0 -> 1
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logbx1410 logb 100E0 -> 2
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logbx1411 logb 1000E0 -> 3
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logbx1412 logb 10000E0 -> 4
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logbx1413 logb 10E1 -> 2
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logbx1414 logb 100E1 -> 3
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logbx1415 logb 1000E1 -> 4
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logbx1416 logb 10000E1 -> 5
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logbx1417 logb 10E2 -> 3
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logbx1418 logb 100E2 -> 4
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logbx1419 logb 1000E2 -> 5
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logbx1420 logb 10000E2 -> 6
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2009-10-08 13:28:39 -03:00
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-- inexacts
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precision: 2
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logbx1500 logb 10000E2 -> 6
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logbx1501 logb 1E+99 -> 99
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logbx1502 logb 1E-99 -> -99
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logbx1503 logb 1E+100 -> 1.0E+2 Rounded
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logbx1504 logb 1E+999 -> 1.0E+3 Inexact Rounded
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logbx1505 logb 1E-100 -> -1.0E+2 Rounded
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logbx1506 logb 1E-999 -> -1.0E+3 Inexact Rounded
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logbx1507 logb 1E-1111 -> -1.1E+3 Inexact Rounded
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logbx1508 logb 1E-3333 -> -3.3E+3 Inexact Rounded
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logbx1509 logb 1E-6666 -> -6.7E+3 Inexact Rounded
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logbx1510 logb 1E+999999999 -> 1.0E+9 Inexact Rounded
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logbx1511 logb 1E-999999999 -> -1.0E+9 Inexact Rounded
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precision: 1
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logbx1517 logb 1E-1111 -> -1E+3 Inexact Rounded
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logbx1518 logb 1E-3333 -> -3E+3 Inexact Rounded
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logbx1519 logb 1E-6666 -> -7E+3 Inexact Rounded
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precision: 8
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logbx1520 logb 1E+999999999 -> 1.0000000E+9 Inexact Rounded
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logbx1521 logb 1E-999999999 -> -1.0000000E+9 Inexact Rounded
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precision: 9
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logbx1523 logb 1E+999999999 -> 999999999
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logbx1524 logb 1E-999999999 -> -999999999
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2007-09-13 15:13:15 -03:00
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-- special values
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precision: 9
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2007-09-13 15:13:15 -03:00
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logbx820 logb Infinity -> Infinity
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logbx821 logb -Infinity -> Infinity
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logbx822 logb 0 -> -Infinity Division_by_zero
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logbx823 logb NaN -> NaN
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logbx824 logb sNaN -> NaN Invalid_operation
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-- propagating NaNs
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logbx825 logb sNaN123 -> NaN123 Invalid_operation
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logbx826 logb -sNaN321 -> -NaN321 Invalid_operation
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logbx827 logb NaN456 -> NaN456
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logbx828 logb -NaN654 -> -NaN654
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logbx829 logb NaN1 -> NaN1
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-- Null test
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logbx900 logb # -> NaN Invalid_operation
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