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logb.decTest

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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@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

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