------------------------------------------------------------------------ | |
-- 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 | |