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✏️ logb.decTest
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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
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