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1 ------------------------------------------------------------------------
2 -- dqLogB.decTest -- integral 754r adjusted exponent, for decQuads --
3 -- Copyright (c) IBM Corporation, 2005, 2008. 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@uk.ibm.com --
19 ------------------------------------------------------------------------
20 version: 2.59
21
22 extended: 1
23 clamp: 1
24 precision: 34
25 maxExponent: 6144
26 minExponent: -6143
27 rounding: half_even
28
29 -- basics
30 dqlogb000 logb 0 -> -Infinity Division_by_zero
31 dqlogb001 logb 1E-6176 -> -6176
32 dqlogb002 logb 1E-6143 -> -6143
33 dqlogb003 logb 0.001 -> -3
34 dqlogb004 logb 0.03 -> -2
35 dqlogb005 logb 1 -> 0
36 dqlogb006 logb 2 -> 0
37 dqlogb007 logb 2.5 -> 0
38 dqlogb008 logb 2.50 -> 0
39 dqlogb009 logb 2.500 -> 0
40 dqlogb010 logb 10 -> 1
41 dqlogb011 logb 70 -> 1
42 dqlogb012 logb 100 -> 2
43 dqlogb013 logb 250 -> 2
44 dqlogb014 logb 9E+6144 -> 6144
45 dqlogb015 logb +Infinity -> Infinity
46
47 -- negatives appear to be treated as positives
48 dqlogb021 logb -0 -> -Infinity Division_by_zero
49 dqlogb022 logb -1E-6176 -> -6176
50 dqlogb023 logb -9E-6143 -> -6143
51 dqlogb024 logb -0.001 -> -3
52 dqlogb025 logb -1 -> 0
53 dqlogb026 logb -2 -> 0
54 dqlogb027 logb -10 -> 1
55 dqlogb028 logb -70 -> 1
56 dqlogb029 logb -100 -> 2
57 dqlogb030 logb -9E+6144 -> 6144
58 dqlogb031 logb -Infinity -> Infinity
59
60 -- zeros
61 dqlogb111 logb 0 -> -Infinity Division_by_zero
62 dqlogb112 logb -0 -> -Infinity Division_by_zero
63 dqlogb113 logb 0E+4 -> -Infinity Division_by_zero
64 dqlogb114 logb -0E+4 -> -Infinity Division_by_zero
65 dqlogb115 logb 0.0000 -> -Infinity Division_by_zero
66 dqlogb116 logb -0.0000 -> -Infinity Division_by_zero
67 dqlogb117 logb 0E-141 -> -Infinity Division_by_zero
68 dqlogb118 logb -0E-141 -> -Infinity Division_by_zero
69
70 -- full coefficients, alternating bits
71 dqlogb121 logb 268268268 -> 8
72 dqlogb122 logb -268268268 -> 8
73 dqlogb123 logb 134134134 -> 8
74 dqlogb124 logb -134134134 -> 8
75
76 -- Nmax, Nmin, Ntiny
77 dqlogb131 logb 9.999999999999999999999999999999999E+6144 -> 6144
78 dqlogb132 logb 1E-6143 -> -6143
79 dqlogb133 logb 1.000000000000000000000000000000000E-6143 -> -6143
80 dqlogb134 logb 1E-6176 -> -6176
81
82 dqlogb135 logb -1E-6176 -> -6176
83 dqlogb136 logb -1.000000000000000000000000000000000E-6143 -> -6143
84 dqlogb137 logb -1E-6143 -> -6143
85 dqlogb1614 logb -9.999999999999999999999999999999999E+6144 -> 6144
86
87 -- ones
88 dqlogb0061 logb 1 -> 0
89 dqlogb0062 logb 1.0 -> 0
90 dqlogb0063 logb 1.000000000000000 -> 0
91
92 -- notable cases -- exact powers of 10
93 dqlogb1100 logb 1 -> 0
94 dqlogb1101 logb 10 -> 1
95 dqlogb1102 logb 100 -> 2
96 dqlogb1103 logb 1000 -> 3
97 dqlogb1104 logb 10000 -> 4
98 dqlogb1105 logb 100000 -> 5
99 dqlogb1106 logb 1000000 -> 6
100 dqlogb1107 logb 10000000 -> 7
101 dqlogb1108 logb 100000000 -> 8
102 dqlogb1109 logb 1000000000 -> 9
103 dqlogb1110 logb 10000000000 -> 10
104 dqlogb1111 logb 100000000000 -> 11
105 dqlogb1112 logb 1000000000000 -> 12
106 dqlogb1113 logb 0.00000000001 -> -11
107 dqlogb1114 logb 0.0000000001 -> -10
108 dqlogb1115 logb 0.000000001 -> -9
109 dqlogb1116 logb 0.00000001 -> -8
110 dqlogb1117 logb 0.0000001 -> -7
111 dqlogb1118 logb 0.000001 -> -6
112 dqlogb1119 logb 0.00001 -> -5
113 dqlogb1120 logb 0.0001 -> -4
114 dqlogb1121 logb 0.001 -> -3
115 dqlogb1122 logb 0.01 -> -2
116 dqlogb1123 logb 0.1 -> -1
117 dqlogb1124 logb 1E-99 -> -99
118 dqlogb1125 logb 1E-100 -> -100
119 dqlogb1127 logb 1E-299 -> -299
120 dqlogb1126 logb 1E-6143 -> -6143
121
122 -- suggestions from Ilan Nehama
123 dqlogb1400 logb 10E-3 -> -2
124 dqlogb1401 logb 10E-2 -> -1
125 dqlogb1402 logb 100E-2 -> 0
126 dqlogb1403 logb 1000E-2 -> 1
127 dqlogb1404 logb 10000E-2 -> 2
128 dqlogb1405 logb 10E-1 -> 0
129 dqlogb1406 logb 100E-1 -> 1
130 dqlogb1407 logb 1000E-1 -> 2
131 dqlogb1408 logb 10000E-1 -> 3
132 dqlogb1409 logb 10E0 -> 1
133 dqlogb1410 logb 100E0 -> 2
134 dqlogb1411 logb 1000E0 -> 3
135 dqlogb1412 logb 10000E0 -> 4
136 dqlogb1413 logb 10E1 -> 2
137 dqlogb1414 logb 100E1 -> 3
138 dqlogb1415 logb 1000E1 -> 4
139 dqlogb1416 logb 10000E1 -> 5
140 dqlogb1417 logb 10E2 -> 3
141 dqlogb1418 logb 100E2 -> 4
142 dqlogb1419 logb 1000E2 -> 5
143 dqlogb1420 logb 10000E2 -> 6
144
145 -- special values
146 dqlogb820 logb Infinity -> Infinity
147 dqlogb821 logb 0 -> -Infinity Division_by_zero
148 dqlogb822 logb NaN -> NaN
149 dqlogb823 logb sNaN -> NaN Invalid_operation
150 -- propagating NaNs
151 dqlogb824 logb sNaN123 -> NaN123 Invalid_operation
152 dqlogb825 logb -sNaN321 -> -NaN321 Invalid_operation
153 dqlogb826 logb NaN456 -> NaN456
154 dqlogb827 logb -NaN654 -> -NaN654
155 dqlogb828 logb NaN1 -> NaN1
156
157 -- Null test
158 dqlogb900 logb # -> NaN Invalid_operation
159
160