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