1 ------------------------------------------------------------------------ 2 -- logb.decTest -- return integral adjusted exponent as per 754r -- 3 -- Copyright (c) IBM Corporation, 2005, 2009. All rights reserved. -- 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 (a] uk.ibm.com -- 19 ------------------------------------------------------------------------ 20 version: 2.59 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 -> 6 145 146 -- 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 170 171 -- special values 172 precision: 9 173 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 187 188 189
