| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 1 | ------------------------------------------------------------------------
|
| 2 | -- logb.decTest -- return integral adjusted exponent as per 754r --
|
| Mark Dickinson | 8a54653 | 2009-10-08 16:30:38 +0000 | [diff] [blame] | 3 | -- Copyright (c) IBM Corporation, 2005, 2009. All rights reserved. --
|
| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 4 | ------------------------------------------------------------------------
|
| 5 | -- Please see the document "General Decimal Arithmetic Testcases" --
|
| 6 | -- at http://www2.hursley.ibm.com/decimal for the description of --
|
| 7 | -- these testcases. --
|
| 8 | -- --
|
| 9 | -- These testcases are experimental ('beta' versions), and they --
|
| 10 | -- may contain errors. They are offered on an as-is basis. In --
|
| 11 | -- particular, achieving the same results as the tests here is not --
|
| 12 | -- a guarantee that an implementation complies with any Standard --
|
| 13 | -- or specification. The tests are not exhaustive. --
|
| 14 | -- --
|
| 15 | -- Please send comments, suggestions, and corrections to the author: --
|
| 16 | -- Mike Cowlishaw, IBM Fellow --
|
| 17 | -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
|
| 18 | -- mfc@uk.ibm.com --
|
| 19 | ------------------------------------------------------------------------
|
| Mark Dickinson | 8a54653 | 2009-10-08 16:30:38 +0000 | [diff] [blame] | 20 | version: 2.59
|
| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 21 |
|
| 22 | -- This emphasises the testing of notable cases, as they will often
|
| 23 | -- have unusual paths (especially the 10**n results).
|
| 24 |
|
| 25 | extended: 1
|
| 26 | rounding: half_even
|
| 27 | maxExponent: 999
|
| 28 | minexponent: -999
|
| 29 |
|
| 30 | -- basics & examples
|
| 31 | precision: 9
|
| 32 | logbx001 logb 0 -> -Infinity Division_by_zero
|
| 33 | logbx002 logb 1E-999 -> -999
|
| 34 | logbx003 logb 9E-999 -> -999
|
| 35 | logbx004 logb 0.001 -> -3
|
| 36 | logbx005 logb 0.03 -> -2
|
| 37 | logbx006 logb 1 -> 0
|
| 38 | logbx007 logb 2 -> 0
|
| 39 | logbx008 logb 2.5 -> 0
|
| 40 | logbx009 logb 2.50 -> 0
|
| 41 | logbx010 logb 10 -> 1
|
| 42 | logbx011 logb 70 -> 1
|
| 43 | logbx012 logb 100 -> 2
|
| 44 | logbx013 logb 250 -> 2
|
| 45 | logbx014 logb +Infinity -> Infinity
|
| 46 |
|
| 47 | -- negatives are treated as positives
|
| 48 | logbx021 logb -0 -> -Infinity Division_by_zero
|
| 49 | logbx022 logb -1E-999 -> -999
|
| 50 | logbx023 logb -9E-999 -> -999
|
| 51 | logbx024 logb -0.001 -> -3
|
| 52 | logbx025 logb -1 -> 0
|
| 53 | logbx026 logb -2 -> 0
|
| 54 | logbx027 logb -10 -> 1
|
| 55 | logbx028 logb -70 -> 1
|
| 56 | logbx029 logb -100 -> 2
|
| 57 | logbx030 logb -100000000 -> 8
|
| 58 | logbx031 logb -Infinity -> Infinity
|
| 59 |
|
| 60 | -- zeros
|
| 61 | logbx111 logb 0 -> -Infinity Division_by_zero
|
| 62 | logbx112 logb -0 -> -Infinity Division_by_zero
|
| 63 | logbx113 logb 0E+4 -> -Infinity Division_by_zero
|
| 64 | logbx114 logb -0E+4 -> -Infinity Division_by_zero
|
| 65 | logbx115 logb 0.0000 -> -Infinity Division_by_zero
|
| 66 | logbx116 logb -0.0000 -> -Infinity Division_by_zero
|
| 67 | logbx117 logb 0E-141 -> -Infinity Division_by_zero
|
| 68 | logbx118 logb -0E-141 -> -Infinity Division_by_zero
|
| 69 |
|
| 70 | -- full coefficients, alternating bits
|
| 71 | logbx121 logb 268268268 -> 8
|
| 72 | logbx122 logb -268268268 -> 8
|
| 73 | logbx123 logb 134134134 -> 8
|
| 74 | logbx124 logb -134134134 -> 8
|
| 75 |
|
| 76 | -- Nmax, Nmin, Ntiny
|
| 77 | logbx131 logb 9.99999999E+999 -> 999
|
| 78 | logbx132 logb 1E-999 -> -999
|
| 79 | logbx133 logb 1.00000000E-999 -> -999
|
| 80 | logbx134 logb 1E-1007 -> -1007
|
| 81 |
|
| 82 | logbx135 logb -1E-1007 -> -1007
|
| 83 | logbx136 logb -1.00000000E-999 -> -999
|
| 84 | logbx137 logb -1E-999 -> -999
|
| 85 | logbx138 logb -9.99999999E+999 -> 999
|
| 86 |
|
| 87 | -- ones
|
| 88 | logbx0061 logb 1 -> 0
|
| 89 | logbx0062 logb 1.0 -> 0
|
| 90 | logbx0063 logb 1.000000000000000 -> 0
|
| 91 | logbx0064 logb 1.000000000000000000 -> 0
|
| 92 |
|
| 93 | -- notable cases -- exact powers of 10
|
| 94 | logbx1100 logb 1 -> 0
|
| 95 | logbx1101 logb 10 -> 1
|
| 96 | logbx1102 logb 100 -> 2
|
| 97 | logbx1103 logb 1000 -> 3
|
| 98 | logbx1104 logb 10000 -> 4
|
| 99 | logbx1105 logb 100000 -> 5
|
| 100 | logbx1106 logb 1000000 -> 6
|
| 101 | logbx1107 logb 10000000 -> 7
|
| 102 | logbx1108 logb 100000000 -> 8
|
| 103 | logbx1109 logb 1000000000 -> 9
|
| 104 | logbx1110 logb 10000000000 -> 10
|
| 105 | logbx1111 logb 100000000000 -> 11
|
| 106 | logbx1112 logb 1000000000000 -> 12
|
| 107 | logbx1113 logb 0.00000000001 -> -11
|
| 108 | logbx1114 logb 0.0000000001 -> -10
|
| 109 | logbx1115 logb 0.000000001 -> -9
|
| 110 | logbx1116 logb 0.00000001 -> -8
|
| 111 | logbx1117 logb 0.0000001 -> -7
|
| 112 | logbx1118 logb 0.000001 -> -6
|
| 113 | logbx1119 logb 0.00001 -> -5
|
| 114 | logbx1120 logb 0.0001 -> -4
|
| 115 | logbx1121 logb 0.001 -> -3
|
| 116 | logbx1122 logb 0.01 -> -2
|
| 117 | logbx1123 logb 0.1 -> -1
|
| 118 | logbx1124 logb 1E-99 -> -99
|
| 119 | logbx1125 logb 1E-100 -> -100
|
| 120 | logbx1126 logb 1E-383 -> -383
|
| 121 | logbx1127 logb 1E-999 -> -999
|
| 122 |
|
| 123 | -- suggestions from Ilan Nehama
|
| 124 | logbx1400 logb 10E-3 -> -2
|
| 125 | logbx1401 logb 10E-2 -> -1
|
| 126 | logbx1402 logb 100E-2 -> 0
|
| 127 | logbx1403 logb 1000E-2 -> 1
|
| 128 | logbx1404 logb 10000E-2 -> 2
|
| 129 | logbx1405 logb 10E-1 -> 0
|
| 130 | logbx1406 logb 100E-1 -> 1
|
| 131 | logbx1407 logb 1000E-1 -> 2
|
| 132 | logbx1408 logb 10000E-1 -> 3
|
| 133 | logbx1409 logb 10E0 -> 1
|
| 134 | logbx1410 logb 100E0 -> 2
|
| 135 | logbx1411 logb 1000E0 -> 3
|
| 136 | logbx1412 logb 10000E0 -> 4
|
| 137 | logbx1413 logb 10E1 -> 2
|
| 138 | logbx1414 logb 100E1 -> 3
|
| 139 | logbx1415 logb 1000E1 -> 4
|
| 140 | logbx1416 logb 10000E1 -> 5
|
| 141 | logbx1417 logb 10E2 -> 3
|
| 142 | logbx1418 logb 100E2 -> 4
|
| 143 | logbx1419 logb 1000E2 -> 5
|
| 144 | logbx1420 logb 10000E2 -> 6
|
| 145 |
|
| Mark Dickinson | 8a54653 | 2009-10-08 16:30:38 +0000 | [diff] [blame] | 146 | -- inexacts
|
| 147 | precision: 2
|
| 148 | logbx1500 logb 10000E2 -> 6
|
| 149 | logbx1501 logb 1E+99 -> 99
|
| 150 | logbx1502 logb 1E-99 -> -99
|
| 151 | logbx1503 logb 1E+100 -> 1.0E+2 Rounded
|
| 152 | logbx1504 logb 1E+999 -> 1.0E+3 Inexact Rounded
|
| 153 | logbx1505 logb 1E-100 -> -1.0E+2 Rounded
|
| 154 | logbx1506 logb 1E-999 -> -1.0E+3 Inexact Rounded
|
| 155 | logbx1507 logb 1E-1111 -> -1.1E+3 Inexact Rounded
|
| 156 | logbx1508 logb 1E-3333 -> -3.3E+3 Inexact Rounded
|
| 157 | logbx1509 logb 1E-6666 -> -6.7E+3 Inexact Rounded
|
| 158 | logbx1510 logb 1E+999999999 -> 1.0E+9 Inexact Rounded
|
| 159 | logbx1511 logb 1E-999999999 -> -1.0E+9 Inexact Rounded
|
| 160 | precision: 1
|
| 161 | logbx1517 logb 1E-1111 -> -1E+3 Inexact Rounded
|
| 162 | logbx1518 logb 1E-3333 -> -3E+3 Inexact Rounded
|
| 163 | logbx1519 logb 1E-6666 -> -7E+3 Inexact Rounded
|
| 164 | precision: 8
|
| 165 | logbx1520 logb 1E+999999999 -> 1.0000000E+9 Inexact Rounded
|
| 166 | logbx1521 logb 1E-999999999 -> -1.0000000E+9 Inexact Rounded
|
| 167 | precision: 9
|
| 168 | logbx1523 logb 1E+999999999 -> 999999999
|
| 169 | logbx1524 logb 1E-999999999 -> -999999999
|
| 170 |
|
| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 171 | -- special values
|
| Mark Dickinson | 8a54653 | 2009-10-08 16:30:38 +0000 | [diff] [blame] | 172 | precision: 9
|
| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 173 | logbx820 logb Infinity -> Infinity
|
| 174 | logbx821 logb -Infinity -> Infinity
|
| 175 | logbx822 logb 0 -> -Infinity Division_by_zero
|
| 176 | logbx823 logb NaN -> NaN
|
| 177 | logbx824 logb sNaN -> NaN Invalid_operation
|
| 178 | -- propagating NaNs
|
| 179 | logbx825 logb sNaN123 -> NaN123 Invalid_operation
|
| 180 | logbx826 logb -sNaN321 -> -NaN321 Invalid_operation
|
| 181 | logbx827 logb NaN456 -> NaN456
|
| 182 | logbx828 logb -NaN654 -> -NaN654
|
| 183 | logbx829 logb NaN1 -> NaN1
|
| 184 |
|
| 185 | -- Null test
|
| 186 | logbx900 logb # -> NaN Invalid_operation
|
| 187 |
|
| 188 |
|