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dqLogB.decTest

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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

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