Commit | Line | Data |
---|---|---|
920dae64 AT |
1 | ------------------------------------------------------------------------ |
2 | -- inexact.decTest -- decimal inexact and rounded edge cases -- | |
3 | -- Copyright (c) IBM Corporation, 1981, 2003. 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: 2.39 | |
21 | ||
22 | extended: 1 | |
23 | precision: 9 | |
24 | rounding: half_up | |
25 | maxExponent: 999 | |
26 | minexponent: -999 | |
27 | ||
28 | inx001 add 1 1 -> 2 | |
29 | inx002 add 123456789 0 -> 123456789 | |
30 | inx003 add 123456789 0.0 -> 123456789 Rounded | |
31 | inx004 add 123456789 0.00 -> 123456789 Rounded | |
32 | inx005 add 123456789 1 -> 123456790 | |
33 | inx006 add 123456789 0.1 -> 123456789 Inexact Rounded | |
34 | inx007 add 123456789 0.01 -> 123456789 Inexact Rounded | |
35 | inx008 add 123456789 0.001 -> 123456789 Inexact Rounded | |
36 | inx009 add 123456789 0.000001 -> 123456789 Inexact Rounded | |
37 | inx010 add 123456789 0.000000001 -> 123456789 Inexact Rounded | |
38 | inx011 add 123456789 0.000000000001 -> 123456789 Inexact Rounded | |
39 | ||
40 | inx012 add 123456789 0.9 -> 123456790 Inexact Rounded | |
41 | inx013 add 123456789 0.09 -> 123456789 Inexact Rounded | |
42 | inx014 add 123456789 0.009 -> 123456789 Inexact Rounded | |
43 | inx015 add 123456789 0.000009 -> 123456789 Inexact Rounded | |
44 | inx016 add 123456789 0.000000009 -> 123456789 Inexact Rounded | |
45 | inx017 add 123456789 0.000000000009 -> 123456789 Inexact Rounded | |
46 | ||
47 | inx021 add 1 -1 -> 0 | |
48 | inx022 add 123456789 -0 -> 123456789 | |
49 | inx023 add 123456789 -0.0 -> 123456789 Rounded | |
50 | inx024 add 123456789 -0.00 -> 123456789 Rounded | |
51 | inx025 add 123456789 -1 -> 123456788 | |
52 | inx026 add 123456789 -0.1 -> 123456789 Inexact Rounded | |
53 | inx027 add 123456789 -0.01 -> 123456789 Inexact Rounded | |
54 | inx028 add 123456789 -0.001 -> 123456789 Inexact Rounded | |
55 | inx029 add 123456789 -0.000001 -> 123456789 Inexact Rounded | |
56 | inx030 add 123456789 -0.000000001 -> 123456789 Inexact Rounded | |
57 | inx031 add 123456789 -0.000000000001 -> 123456789 Inexact Rounded | |
58 | inx032 add 123456789 -0.9 -> 123456788 Inexact Rounded | |
59 | inx033 add 123456789 -0.09 -> 123456789 Inexact Rounded | |
60 | inx034 add 123456789 -0.009 -> 123456789 Inexact Rounded | |
61 | inx035 add 123456789 -0.000009 -> 123456789 Inexact Rounded | |
62 | inx036 add 123456789 -0.000000009 -> 123456789 Inexact Rounded | |
63 | inx037 add 123456789 -0.000000000009 -> 123456789 Inexact Rounded | |
64 | ||
65 | inx042 add 0 123456789 -> 123456789 | |
66 | inx043 add 0.0 123456789 -> 123456789 Rounded | |
67 | inx044 add 0.00 123456789 -> 123456789 Rounded | |
68 | inx045 add 1 123456789 -> 123456790 | |
69 | inx046 add 0.1 123456789 -> 123456789 Inexact Rounded | |
70 | inx047 add 0.01 123456789 -> 123456789 Inexact Rounded | |
71 | inx048 add 0.001 123456789 -> 123456789 Inexact Rounded | |
72 | inx049 add 0.000001 123456789 -> 123456789 Inexact Rounded | |
73 | inx050 add 0.000000001 123456789 -> 123456789 Inexact Rounded | |
74 | inx051 add 0.000000000001 123456789 -> 123456789 Inexact Rounded | |
75 | inx052 add 0.9 123456789 -> 123456790 Inexact Rounded | |
76 | inx053 add 0.09 123456789 -> 123456789 Inexact Rounded | |
77 | inx054 add 0.009 123456789 -> 123456789 Inexact Rounded | |
78 | inx055 add 0.000009 123456789 -> 123456789 Inexact Rounded | |
79 | inx056 add 0.000000009 123456789 -> 123456789 Inexact Rounded | |
80 | inx057 add 0.000000000009 123456789 -> 123456789 Inexact Rounded | |
81 | ||
82 | inx062 add -0 123456789 -> 123456789 | |
83 | inx063 add -0.0 123456789 -> 123456789 Rounded | |
84 | inx064 add -0.00 123456789 -> 123456789 Rounded | |
85 | inx065 add -1 123456789 -> 123456788 | |
86 | inx066 add -0.1 123456789 -> 123456789 Inexact Rounded | |
87 | inx067 add -0.01 123456789 -> 123456789 Inexact Rounded | |
88 | inx068 add -0.001 123456789 -> 123456789 Inexact Rounded | |
89 | inx069 add -0.000001 123456789 -> 123456789 Inexact Rounded | |
90 | inx070 add -0.000000001 123456789 -> 123456789 Inexact Rounded | |
91 | inx071 add -0.000000000001 123456789 -> 123456789 Inexact Rounded | |
92 | inx072 add -0.9 123456789 -> 123456788 Inexact Rounded | |
93 | inx073 add -0.09 123456789 -> 123456789 Inexact Rounded | |
94 | inx074 add -0.009 123456789 -> 123456789 Inexact Rounded | |
95 | inx075 add -0.000009 123456789 -> 123456789 Inexact Rounded | |
96 | inx076 add -0.000000009 123456789 -> 123456789 Inexact Rounded | |
97 | inx077 add -0.000000000009 123456789 -> 123456789 Inexact Rounded | |
98 | ||
99 | -- some boundaries | |
100 | inx081 add 999999999 0 -> 999999999 | |
101 | inx082 add 0.999999999 0.000000000 -> 0.999999999 | |
102 | inx083 add 999999999 1 -> 1.00000000E+9 Rounded | |
103 | inx084 add 0.999999999 0.000000001 -> 1.00000000 Rounded | |
104 | inx085 add 999999999 2 -> 1.00000000E+9 Inexact Rounded | |
105 | inx086 add 0.999999999 0.000000002 -> 1.00000000 Inexact Rounded | |
106 | inx087 add 999999999 3 -> 1.00000000E+9 Inexact Rounded | |
107 | inx089 add 0.999999999 0.000000003 -> 1.00000000 Inexact Rounded | |
108 | ||
109 | -- minus, plus, and subtract all assumed to work like add. | |
110 | ||
111 | -- multiply | |
112 | precision: 8 | |
113 | inx101 multiply 1000 1000 -> 1000000 | |
114 | inx102 multiply 9000 9000 -> 81000000 | |
115 | inx103 multiply 9999 9999 -> 99980001 | |
116 | inx104 multiply 1000 10000 -> 10000000 | |
117 | inx105 multiply 10000 10000 -> 1.0000000E+8 Rounded | |
118 | inx106 multiply 10001 10000 -> 1.0001000E+8 Rounded | |
119 | inx107 multiply 10001 10001 -> 1.0002000E+8 Inexact Rounded | |
120 | inx108 multiply 10101 10001 -> 1.0102010E+8 Inexact Rounded | |
121 | inx109 multiply 10001 10101 -> 1.0102010E+8 Inexact Rounded | |
122 | ||
123 | -- divide | |
124 | precision: 4 | |
125 | inx201 divide 1000 1000 -> 1 | |
126 | inx202 divide 1000 1 -> 1000 | |
127 | inx203 divide 1000 2 -> 500 | |
128 | inx204 divide 1000 3 -> 333.3 Inexact Rounded | |
129 | inx205 divide 1000 4 -> 250 | |
130 | inx206 divide 1000 5 -> 200 | |
131 | inx207 divide 1000 6 -> 166.7 Inexact Rounded | |
132 | inx208 divide 1000 7 -> 142.9 Inexact Rounded | |
133 | inx209 divide 1000 8 -> 125 | |
134 | inx210 divide 1000 9 -> 111.1 Inexact Rounded | |
135 | inx211 divide 1000 10 -> 100 | |
136 | ||
137 | inx220 divide 1 1 -> 1 | |
138 | inx221 divide 1 2 -> 0.5 | |
139 | inx222 divide 1 4 -> 0.25 | |
140 | inx223 divide 1 8 -> 0.125 | |
141 | inx224 divide 1 16 -> 0.0625 | |
142 | inx225 divide 1 32 -> 0.03125 | |
143 | inx226 divide 1 64 -> 0.01563 Inexact Rounded | |
144 | inx227 divide 1 128 -> 0.007813 Inexact Rounded | |
145 | ||
146 | precision: 5 | |
147 | inx230 divide 1 1 -> 1 | |
148 | inx231 divide 1 2 -> 0.5 | |
149 | inx232 divide 1 4 -> 0.25 | |
150 | inx233 divide 1 8 -> 0.125 | |
151 | inx234 divide 1 16 -> 0.0625 | |
152 | inx235 divide 1 32 -> 0.03125 | |
153 | inx236 divide 1 64 -> 0.015625 | |
154 | inx237 divide 1 128 -> 0.0078125 | |
155 | ||
156 | precision: 3 | |
157 | inx240 divide 1 1 -> 1 | |
158 | inx241 divide 1 2 -> 0.5 | |
159 | inx242 divide 1 4 -> 0.25 | |
160 | inx243 divide 1 8 -> 0.125 | |
161 | inx244 divide 1 16 -> 0.0625 | |
162 | inx245 divide 1 32 -> 0.0313 Inexact Rounded | |
163 | inx246 divide 1 64 -> 0.0156 Inexact Rounded | |
164 | inx247 divide 1 128 -> 0.00781 Inexact Rounded | |
165 | ||
166 | precision: 2 | |
167 | inx250 divide 1 1 -> 1 | |
168 | inx251 divide 1 2 -> 0.5 | |
169 | inx252 divide 1 4 -> 0.25 | |
170 | inx253 divide 1 8 -> 0.13 Inexact Rounded | |
171 | inx254 divide 1 16 -> 0.063 Inexact Rounded | |
172 | inx255 divide 1 32 -> 0.031 Inexact Rounded | |
173 | inx256 divide 1 64 -> 0.016 Inexact Rounded | |
174 | inx257 divide 1 128 -> 0.0078 Inexact Rounded | |
175 | ||
176 | precision: 1 | |
177 | inx260 divide 1 1 -> 1 | |
178 | inx261 divide 1 2 -> 0.5 | |
179 | inx262 divide 1 4 -> 0.3 Inexact Rounded | |
180 | inx263 divide 1 8 -> 0.1 Inexact Rounded | |
181 | inx264 divide 1 16 -> 0.06 Inexact Rounded | |
182 | inx265 divide 1 32 -> 0.03 Inexact Rounded | |
183 | inx266 divide 1 64 -> 0.02 Inexact Rounded | |
184 | inx267 divide 1 128 -> 0.008 Inexact Rounded | |
185 | ||
186 | ||
187 | -- power | |
188 | precision: 4 | |
189 | inx301 power 0.5 2 -> 0.25 | |
190 | inx302 power 0.5 4 -> 0.0625 | |
191 | inx303 power 0.5 8 -> 0.003906 Inexact Rounded | |
192 | inx304 power 0.5 16 -> 0.00001526 Inexact Rounded | |
193 | inx305 power 0.5 32 -> 2.328E-10 Inexact Rounded | |
194 | ||
195 | -- compare, divideInteger, and remainder are always exact | |
196 | ||
197 | -- rescale | |
198 | precision: 4 | |
199 | inx401 rescale 0 0 -> 0 | |
200 | inx402 rescale 1 0 -> 1 | |
201 | inx403 rescale 0.1 +2 -> 0E+2 Inexact Rounded | |
202 | inx404 rescale 0.1 +1 -> 0E+1 Inexact Rounded | |
203 | inx405 rescale 0.1 0 -> 0 Inexact Rounded | |
204 | inx406 rescale 0.1 -1 -> 0.1 | |
205 | inx407 rescale 0.1 -2 -> 0.10 | |
206 | ||
207 | -- long operands cause rounding too | |
208 | precision: 9 | |
209 | inx801 plus 123456789 -> 123456789 | |
210 | inx802 plus 1234567890 -> 1.23456789E+9 Rounded | |
211 | inx803 plus 1234567891 -> 1.23456789E+9 Inexact Rounded | |
212 | inx804 plus 1234567892 -> 1.23456789E+9 Inexact Rounded | |
213 | inx805 plus 1234567899 -> 1.23456790E+9 Inexact Rounded | |
214 | inx806 plus 1234567900 -> 1.23456790E+9 Rounded | |
215 |