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